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SAReasoning-200000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: 1x + -19 > -18	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 1
What is 148% of 100?	Compute the percent value (integer-safe).	Compute 148/100 × 100.	148
Solve: 4x + -10 > -14	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -1
Solve for x: -7(x + -10) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	10
If each item costs 11 dollars and the total cost is 253, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	23
If each item costs 5 dollars and the total cost is 90, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	18
Solve: \|1x + -9\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	16, 2
Solve: \|-1x + 9\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 22
Solve for x: 9x + 4 = -5	Solve the linear equation.	Subtract b from both sides, then divide by a.	-1
What is -14% of 400?	Compute the percent value (integer-safe).	Compute -14/100 × 400.	-56
Solve: \|-1x + 14\| = 1	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	13, 15
Solve for x: -4x + -25 = -97	Solve the linear equation.	Subtract b from both sides, then divide by a.	18
Solve for x: 7(x + -6) = -42	Solve a two-step equation.	Divide both sides by a, then subtract b.	0
If each item costs -2 dollars and the total cost is -34, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	17
What is -41% of 700?	Compute the percent value (integer-safe).	Compute -41/100 × 700.	-287
If each item costs 2 dollars and the total cost is -26, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-13
Solve: \|6x + -9\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 3
Solve for x: 7x + 5 = 131	Solve the linear equation.	Subtract b from both sides, then divide by a.	18
Solve: \|7x + 15\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -2
If each item costs -7 dollars and the total cost is -91, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	13
What is 8% of 200?	Compute the percent value (integer-safe).	Compute 8/100 × 200.	16
Solve for x: -7(x + 8) = 7	Solve a two-step equation.	Divide both sides by a, then subtract b.	-9
If each item costs -1 dollars and the total cost is -2, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	2
Simplify: -8x + -5x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-13x + 4y
Solve for x: -7(x + 0) = -98	Solve a two-step equation.	Divide both sides by a, then subtract b.	14
If each item costs 18 dollars and the total cost is 540, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	30
Solve: \|2x + 11\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 3x + -16 ≥ -10	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 2
If each item costs -1 dollars and the total cost is -27, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	27
Solve: 7x + 7 > 28	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 3
Solve: \|-2x + 9\| = 1	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	4, 5
What is 85% of 160?	Compute the percent value (integer-safe).	Compute 85/100 × 160.	136
Solve: \|3x + -3\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -2(x + -14) = 12	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
Solve for x: 2x + -14 = 12	Solve the linear equation.	Subtract b from both sides, then divide by a.	13
Simplify: 0x + -4x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x + 2y
Solve: \|-1x + -14\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-34 ≤ x ≤ 6
Solve for x: 3x + 0 = -45	Solve the linear equation.	Subtract b from both sides, then divide by a.	-15
Solve for x: 9x + -3 = -174	Solve the linear equation.	Subtract b from both sides, then divide by a.	-19
Solve for x: -8(x + -2) = 120	Solve a two-step equation.	Divide both sides by a, then subtract b.	-13
What is 91% of 300?	Compute the percent value (integer-safe).	Compute 91/100 × 300.	273
If each item costs 14 dollars and the total cost is 182, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	13
What is -4% of 75?	Compute the percent value (integer-safe).	Compute -4/100 × 75.	-3
What is 73% of 200?	Compute the percent value (integer-safe).	Compute 73/100 × 200.	146
Solve: -7x + -16 ≤ 61	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -11
Solve for x: -7(x + -15) = 133	Solve a two-step equation.	Divide both sides by a, then subtract b.	-4
Solve for x: 4x + -24 = -88	Solve the linear equation.	Subtract b from both sides, then divide by a.	-16
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
What is -8% of 175?	Compute the percent value (integer-safe).	Compute -8/100 × 175.	-14
Solve: 5x + 15 ≤ 80	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 13
If each item costs -6 dollars and the total cost is -180, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	30
If each item costs -5 dollars and the total cost is -100, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	20
Solve: \|-5x + -12\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	0
Solve for x: 2(x + 14) = 6	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
What is -38% of 200?	Compute the percent value (integer-safe).	Compute -38/100 × 200.	-76
Solve: \|-7x + 14\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 4
Solve: \|6x + -9\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 2
Solve for x: 4x + 0 = 4	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
Solve for x: 9x + 27 = 18	Solve the linear equation.	Subtract b from both sides, then divide by a.	-1
Solve: \|7x + -16\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 3
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.	8
What is 4% of 225?	Compute the percent value (integer-safe).	Compute 4/100 × 225.	9
Simplify: -4x + 6x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 6y
Solve for x: 9x + 10 = -170	Solve the linear equation.	Subtract b from both sides, then divide by a.	-20
Solve for x: 7(x + -5) = -133	Solve a two-step equation.	Divide both sides by a, then subtract b.	-14
Solve for x: 9x + -16 = -178	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
What is -40% of 5?	Compute the percent value (integer-safe).	Compute -40/100 × 5.	-2
Simplify: -3x + 7x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x + 1y
Solve: \|5x + -6\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -10x + -18 ≥ -48	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 3
If each item costs 5 dollars and the total cost is -45, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-9
Solve for x: -5x + 5 = 0	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
Solve: \|-6x + 0\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	0
Solve for x: 5(x + -3) = 25	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
Solve: \|5x + 14\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -2
Solve: \|-8x + 5\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 1
What is 79% of 700?	Compute the percent value (integer-safe).	Compute 79/100 × 700.	553
Solve for x: -5(x + 15) = -100	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve: \|3x + -6\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -10x + -12 = 28	Solve the linear equation.	Subtract b from both sides, then divide by a.	-4
Solve for x: -4x + -24 = -96	Solve the linear equation.	Subtract b from both sides, then divide by a.	18
Solve: \|5x + 3\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -8x + -4x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-12x - 6y
Solve: 4x + -7 < -55	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -12
Solve for x: 9x + -9 = -108	Solve the linear equation.	Subtract b from both sides, then divide by a.	-11
If each item costs 13 dollars and the total cost is -117, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-9
What is 116% of 100?	Compute the percent value (integer-safe).	Compute 116/100 × 100.	116
Solve: -5x + 8 ≥ -32	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 8
Solve for x: 6(x + 14) = 6	Solve a two-step equation.	Divide both sides by a, then subtract b.	-13
Solve for x: -4(x + 15) = -36	Solve a two-step equation.	Divide both sides by a, then subtract b.	-6
Simplify: 6x + -3x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x + 3y
Solve for x: 3x + -29 = -56	Solve the linear equation.	Subtract b from both sides, then divide by a.	-9
Solve for x: 6(x + 3) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	-3
Solve: \|5x + 6\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 87% of 0?	Compute the percent value (integer-safe).	Compute 87/100 × 0.	0
Solve for x: -7x + -1 = -29	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
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 for x: 12x + -16 = 32	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
Solve: 8x + 19 ≤ 171	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 19
If each item costs 12 dollars and the total cost is 84, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	7