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SAReasoning-125000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: \|-4x + -12\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-4, -2
Simplify: 0x + 0x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6y
Solve for x: 8(x + 12) = 200	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
Simplify: -7x + 4x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x - 8y
Solve: \|1x + 4\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	6, -14
Solve: \|-7x + -11\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 0
Simplify: 2x + 2x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x + 7y
Solve: -5x + 8 < 83	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -15
Solve: \|8x + 14\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is -47% of 600?	Compute the percent value (integer-safe).	Compute -47/100 × 600.	-282
If each item costs 13 dollars and the total cost is 390, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	30
Solve: -4x + 16 > -48	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 16
Solve for x: 4(x + 3) = 40	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
Simplify: 8x + -6x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 2y
Solve: \|7x + 2\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-3
Solve: \|-2x + 5\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-6x + 15\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
What is 89% of 200?	Compute the percent value (integer-safe).	Compute 89/100 × 200.	178
Solve for x: -1(x + 3) = 5	Solve a two-step equation.	Divide both sides by a, then subtract b.	-8
Solve: \|4x + 0\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-8x + 0\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 1
If each item costs -9 dollars and the total cost is 171, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-19
If each item costs 18 dollars and the total cost is -288, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-16
Solve for x: 2(x + 1) = 30	Solve a two-step equation.	Divide both sides by a, then subtract b.	14
Solve for x: -6(x + 4) = -18	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
Solve: \|4x + 1\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 4
Solve: \|-4x + -11\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 139% of 500?	Compute the percent value (integer-safe).	Compute 139/100 × 500.	695
Solve: \|2x + -19\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	9 ≤ x ≤ 10
What is 62% of 250?	Compute the percent value (integer-safe).	Compute 62/100 × 250.	155
Solve for x: -4(x + -12) = 52	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
What is 90% of 10?	Compute the percent value (integer-safe).	Compute 90/100 × 10.	9
What is -18% of 150?	Compute the percent value (integer-safe).	Compute -18/100 × 150.	-27
Solve: \|-3x + -6\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ 1
Solve: \|-6x + -11\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -7x + 3x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x + 3y
What is 82% of 400?	Compute the percent value (integer-safe).	Compute 82/100 × 400.	328
Simplify: 5x + 3x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8x + 7y
Solve: \|-8x + 19\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 3
Solve for x: 6(x + -4) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Simplify: 0x + -8x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-8x + 6y
Solve: \|1x + 8\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	12, -28
Solve: \|8x + -15\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 7(x + -14) = -14	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
Solve for x: 12x + -3 = 69	Solve the linear equation.	Subtract b from both sides, then divide by a.	6
Simplify: -6x + -8x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-14x + 8y
What is 80% of 0?	Compute the percent value (integer-safe).	Compute 80/100 × 0.	0
Simplify: -7x + -4x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x + 5y
If each item costs 13 dollars and the total cost is -104, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-8
Solve for x: -9x + 18 = 0	Solve the linear equation.	Subtract b from both sides, then divide by a.	2
Solve: -10x + 19 > 9	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 1
Solve: \|-2x + -6\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-6 ≤ x ≤ 0
Solve for x: 10x + 12 = -158	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
Solve: \|7x + 0\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	0
Solve: \|-7x + 4\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Solve for x: 7x + -23 = -30	Solve the linear equation.	Subtract b from both sides, then divide by a.	-1
What is 46% of 0?	Compute the percent value (integer-safe).	Compute 46/100 × 0.	0
What is 83% of 700?	Compute the percent value (integer-safe).	Compute 83/100 × 700.	581
Solve for x: 2x + 1 = 37	Solve the linear equation.	Subtract b from both sides, then divide by a.	18
What is 94% of 350?	Compute the percent value (integer-safe).	Compute 94/100 × 350.	329
Solve for x: -8(x + -8) = 136	Solve a two-step equation.	Divide both sides by a, then subtract b.	-9
Solve: \|3x + -4\| ≤ 15	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 6
Simplify: 8x + 4x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	12x + 8y
If each item costs -9 dollars and the total cost is 99, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-11
Solve for x: 6(x + -11) = 18	Solve a two-step equation.	Divide both sides by a, then subtract b.	14
Simplify: -5x + 2x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x - 1y
What is 57% of 900?	Compute the percent value (integer-safe).	Compute 57/100 × 900.	513
Solve for x: 12x + -29 = -89	Solve the linear equation.	Subtract b from both sides, then divide by a.	-5
Solve for x: -8(x + 4) = 88	Solve a two-step equation.	Divide both sides by a, then subtract b.	-15
Solve: -1x + -15 ≥ -18	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 3
Solve for x: 4x + -23 = -39	Solve the linear equation.	Subtract b from both sides, then divide by a.	-4
Solve for x: 12x + 17 = 161	Solve the linear equation.	Subtract b from both sides, then divide by a.	12
Solve: \|-1x + 12\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	7, 17
Solve for x: -7x + -10 = 32	Solve the linear equation.	Subtract b from both sides, then divide by a.	-6
Solve: \|-1x + -20\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-23 ≤ x ≤ -17
Solve: \|-7x + -2\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 1
Solve for x: 4(x + -6) = 28	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
Solve for x: -9x + -2 = 97	Solve the linear equation.	Subtract b from both sides, then divide by a.	-11
Solve for x: 8x + -12 = -116	Solve the linear equation.	Subtract b from both sides, then divide by a.	-13
Solve for x: 8x + -28 = -76	Solve the linear equation.	Subtract b from both sides, then divide by a.	-6
Simplify: -3x + -2x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-5x + 8y
Solve: \|8x + 2\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
What is 129% of 300?	Compute the percent value (integer-safe).	Compute 129/100 × 300.	387
Solve for x: -7(x + 12) = -161	Solve a two-step equation.	Divide both sides by a, then subtract b.	11
Solve: 4x + 12 < 28	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 4
Solve: -1x + 13 ≥ 5	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 8
Simplify: 6x + -1x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x - 5y
Solve for x: 7x + 4 = 11	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
Solve for x: 8x + 7 = -41	Solve the linear equation.	Subtract b from both sides, then divide by a.	-6
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
What is 6% of 150?	Compute the percent value (integer-safe).	Compute 6/100 × 150.	9
Solve: \|6x + -14\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 5
Solve: \|4x + 13\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-7 ≤ x ≤ 0
Solve for x: 4(x + -5) = -20	Solve a two-step equation.	Divide both sides by a, then subtract b.	0
Solve for x: -4(x + 14) = -68	Solve a two-step equation.	Divide both sides by a, then subtract b.	3
Solve: 6x + 14 > 104	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 15
Solve: \|-7x + 14\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 2
If each item costs 20 dollars and the total cost is 200, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	10
Solve for x: 3x + 23 = 68	Solve the linear equation.	Subtract b from both sides, then divide by a.	15
Solve: -8x + 2 < 42	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -5