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SAReasoning-1250000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: \|-2x + 12\| = 15	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 2x + -17 < -39	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -11
Solve: \|4x + -4\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 5
Solve for x: -5x + 25 = -55	Solve the linear equation.	Subtract b from both sides, then divide by a.	16
Solve: \|7x + -13\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 3
Solve for x: 6(x + -11) = -102	Solve a two-step equation.	Divide both sides by a, then subtract b.	-6
Solve: \|7x + -7\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 2
Simplify: 5x + 8x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	13x + 2y
Simplify: 8x + 2x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	10x - 1y
Solve for x: 2x + 20 = 16	Solve the linear equation.	Subtract b from both sides, then divide by a.	-2
Solve for x: -5(x + -15) = 25	Solve a two-step equation.	Divide both sides by a, then subtract b.	10
Solve for x: -6(x + -6) = 12	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Simplify: -5x + -6x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x + 2y
Solve: \|-4x + -15\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ -3
Solve: 9x + -8 > -80	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -8
Solve for x: 11x + -2 = 97	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Solve for x: 5(x + 8) = 115	Solve a two-step equation.	Divide both sides by a, then subtract b.	15
Solve: \|-2x + 4\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-7, 11
If each item costs 0 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-17
Simplify: -4x + 8x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x + 2y
Simplify: 1x + 0x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 8y
If each item costs 19 dollars and the total cost is 228, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	12
Solve: \|3x + 10\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-5
If each item costs 1 dollars and the total cost is 12, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	12
Simplify: -8x + 4x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x - 8y
Solve: \|6x + 14\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|8x + 20\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -2
Solve: \|4x + -2\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 4x + 4 ≤ -60	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -16
Solve: \|-7x + -4\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 7(x + -4) = -126	Solve a two-step equation.	Divide both sides by a, then subtract b.	-14
What is 48% of 200?	Compute the percent value (integer-safe).	Compute 48/100 × 200.	96
What is -11% of 300?	Compute the percent value (integer-safe).	Compute -11/100 × 300.	-33
If each item costs 11 dollars and the total cost is -11, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-1
Simplify: -1x + 5x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x + 4y
Solve: 10x + 2 ≥ -58	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -6
What is 144% of 25?	Compute the percent value (integer-safe).	Compute 144/100 × 25.	36
Solve: \|8x + 9\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 0
Solve: \|-1x + 2\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2
Solve for x: 1x + -2 = 11	Solve the linear equation.	Subtract b from both sides, then divide by a.	13
Solve for x: 2x + 10 = -20	Solve the linear equation.	Subtract b from both sides, then divide by a.	-15
Solve for x: -3(x + -12) = 54	Solve a two-step equation.	Divide both sides by a, then subtract b.	-6
What is -31% of 600?	Compute the percent value (integer-safe).	Compute -31/100 × 600.	-186
Simplify: 2x + 7x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	9x - 6y
Solve: \|3x + 1\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 2
Solve for x: -8(x + -2) = -48	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
What is 125% of 8?	Compute the percent value (integer-safe).	Compute 125/100 × 8.	10
Solve for x: -4(x + 8) = -60	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
If each item costs -9 dollars and the total cost is 54, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-6
Solve for x: 1x + -3 = -10	Solve the linear equation.	Subtract b from both sides, then divide by a.	-7
If each item costs 19 dollars and the total cost is 57, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	3
Simplify: 3x + 5x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8x + 8y
Solve: \|6x + -10\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 1x + 3 = 14	Solve the linear equation.	Subtract b from both sides, then divide by a.	11
Solve: \|5x + 5\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 1
If each item costs 13 dollars and the total cost is -91, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-7
Solve: \|-8x + -5\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 0
Solve for x: 2x + -12 = 2	Solve the linear equation.	Subtract b from both sides, then divide by a.	7
What is 104% of 250?	Compute the percent value (integer-safe).	Compute 104/100 × 250.	260
Solve: 3x + -5 ≥ 43	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 16
Solve: \|-4x + 3\| = 16	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -10x + 14 > 114	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -10
Solve for x: 7(x + 6) = -49	Solve a two-step equation.	Divide both sides by a, then subtract b.	-13
Solve for x: -8x + -26 = -162	Solve the linear equation.	Subtract b from both sides, then divide by a.	17
Solve: \|-8x + 4\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-2x + -6\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-6 ≤ x ≤ 0
If each item costs 19 dollars and the total cost is 38, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	2
Solve: \|4x + 5\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-4
What is 65% of 100?	Compute the percent value (integer-safe).	Compute 65/100 × 100.	65
Solve: \|-3x + -8\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-9
If each item costs 13 dollars and the total cost is 169, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	13
If each item costs 17 dollars and the total cost is -34, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-2
Solve: \|-5x + -11\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -1x + 2x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 1y
Solve for x: -8(x + -14) = 184	Solve a two-step equation.	Divide both sides by a, then subtract b.	-9
Solve: 10x + 15 > -65	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -8
Simplify: 4x + -7x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x + 4y
Solve for x: -1(x + -6) = -8	Solve a two-step equation.	Divide both sides by a, then subtract b.	14
Solve: \|-6x + -12\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -2
Solve: -9x + 10 ≤ 100	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -10
Solve for x: -6(x + -13) = 138	Solve a two-step equation.	Divide both sides by a, then subtract b.	-10
If each item costs -4 dollars and the total cost is 80, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-20
Solve: 5x + 19 ≥ 114	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 19
Simplify: -5x + 3x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 8y
If each item costs -6 dollars and the total cost is 78, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-13
If each item costs -10 dollars and the total cost is 180, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-18
Solve: \|-4x + -10\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ -1
Solve: \|3x + 15\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ -5
What is 44% of 200?	Compute the percent value (integer-safe).	Compute 44/100 × 200.	88
Solve for x: 2x + -10 = 8	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Solve: \|5x + -4\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-4x + 19\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	3 ≤ x ≤ 6
Solve for x: -6(x + -7) = 36	Solve a two-step equation.	Divide both sides by a, then subtract b.	1
Simplify: -5x + -4x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-9x - 6y
Solve for x: 5(x + 13) = 90	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve for x: 6(x + -5) = -60	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
Solve: 7x + -5 ≥ -33	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -4
Solve for x: 1(x + -12) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
Solve for x: 5(x + -13) = -125	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
Solve: 3x + 14 ≥ 44	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 10