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SAReasoning-2500000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: 8x + -17 < -129	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -14
Solve: \|8x + 1\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -4(x + 0) = 40	Solve a two-step equation.	Divide both sides by a, then subtract b.	-10
Solve for x: -1(x + 4) = -11	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
If each item costs 10 dollars and the total cost is 210, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	21
If each item costs 7 dollars and the total cost is -98, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-14
Solve: \|6x + 6\| ≤ 2	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 + -12) = 72	Solve a two-step equation.	Divide both sides by a, then subtract b.	-6
What is 125% of 32?	Compute the percent value (integer-safe).	Compute 125/100 × 32.	40
Solve: \|8x + 12\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 0
Solve for x: 4(x + -15) = -72	Solve a two-step equation.	Divide both sides by a, then subtract b.	-3
What is -37% of 400?	Compute the percent value (integer-safe).	Compute -37/100 × 400.	-148
Simplify: 8x + -7x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 5y
Solve for x: 5(x + -1) = -40	Solve a two-step equation.	Divide both sides by a, then subtract b.	-7
Solve for x: 1x + -2 = -2	Solve the linear equation.	Subtract b from both sides, then divide by a.	0
Solve: 3x + 13 ≥ -11	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -8
Simplify: -6x + -8x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-14x + 1y
Solve: -9x + -16 < -133	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 13
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.	-20
What is 51% of 900?	Compute the percent value (integer-safe).	Compute 51/100 × 900.	459
Simplify: -7x + -1x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-8x + 4y
If each item costs 4 dollars and the total cost is 56, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	14
What is 11% of 300?	Compute the percent value (integer-safe).	Compute 11/100 × 300.	33
If each item costs 2 dollars and the total cost is 52, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	26
If each item costs -8 dollars and the total cost is -80, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	10
Solve: \|5x + 9\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -12x + 7 = 175	Solve the linear equation.	Subtract b from both sides, then divide by a.	-14
What is -40% of 5?	Compute the percent value (integer-safe).	Compute -40/100 × 5.	-2
Solve for x: 8(x + -1) = 56	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
If each item costs 10 dollars and the total cost is 240, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	24
If each item costs 8 dollars and the total cost is -120, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-15
Simplify: -7x + -4x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x - 5y
What is 51% of 400?	Compute the percent value (integer-safe).	Compute 51/100 × 400.	204
Solve for x: 5(x + 9) = 110	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
Solve for x: -3x + 23 = 23	Solve the linear equation.	Subtract b from both sides, then divide by a.	0
Solve: 2x + -6 < -34	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -14
Solve for x: 7(x + -4) = 14	Solve a two-step equation.	Divide both sides by a, then subtract b.	6
Solve: \|1x + -5\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	7, 3
Solve: \|-3x + 9\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 4
Solve for x: -5x + 13 = 88	Solve the linear equation.	Subtract b from both sides, then divide by a.	-15
What is 111% of 100?	Compute the percent value (integer-safe).	Compute 111/100 × 100.	111
Simplify: -6x + -7x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-13x + 5y
If each item costs 3 dollars and the total cost is 78, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	26
Solve: \|4x + -8\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs -7 dollars and the total cost is -119, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	17
Solve for x: 3x + 26 = 71	Solve the linear equation.	Subtract b from both sides, then divide by a.	15
Solve: 6x + 16 < 106	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 15
Solve: -2x + -15 < -5	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -5
Solve for x: 5x + -22 = -107	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
Simplify: -2x + 6x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x
Solve for x: -8(x + -4) = -88	Solve a two-step equation.	Divide both sides by a, then subtract b.	15
What is 21% of 700?	Compute the percent value (integer-safe).	Compute 21/100 × 700.	147
Solve: \|8x + -2\| = 1	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|2x + -5\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 6x + -4 ≥ 80	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 14
Solve for x: 5x + -7 = -87	Solve the linear equation.	Subtract b from both sides, then divide by a.	-16
Solve: \|5x + -2\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Simplify: -5x + 8x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x + 1y
Solve: \|7x + 5\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -2(x + -13) = 10	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
If each item costs -4 dollars and the total cost is 16, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-4
If each item costs -3 dollars and the total cost is -84, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	28
Solve: \|-7x + 2\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 7x + 17 < -11	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -4
Solve: \|-6x + 14\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 3
If each item costs 20 dollars and the total cost is 180, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	9
If each item costs 14 dollars and the total cost is -14, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-1
Solve for x: -4x + -19 = -71	Solve the linear equation.	Subtract b from both sides, then divide by a.	13
Solve for x: -5(x + 10) = -25	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
Solve for x: 2(x + 13) = 44	Solve a two-step equation.	Divide both sides by a, then subtract b.	9
Solve for x: 1(x + 15) = 10	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
Solve for x: -6x + 5 = 77	Solve the linear equation.	Subtract b from both sides, then divide by a.	-12
What is -18% of 200?	Compute the percent value (integer-safe).	Compute -18/100 × 200.	-36
Solve for x: -3x + -18 = -66	Solve the linear equation.	Subtract b from both sides, then divide by a.	16
What is 0% of 10?	Compute the percent value (integer-safe).	Compute 0/100 × 10.	0
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.	26
Solve for x: -3(x + -13) = 6	Solve a two-step equation.	Divide both sides by a, then subtract b.	11
Simplify: 6x + -1x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x - 6y
Solve: \|8x + -19\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 2
Solve: 10x + 14 < 24	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 1
Solve for x: 3(x + -5) = -12	Solve a two-step equation.	Divide both sides by a, then subtract b.	1
Solve for x: 5(x + 8) = 20	Solve a two-step equation.	Divide both sides by a, then subtract b.	-4
Solve: \|7x + -1\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs -9 dollars and the total cost is -144, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	16
Solve: \|7x + -9\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 6x + 0x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x - 1y
Solve: \|-1x + -2\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -2
Simplify: 8x + 1x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	9x - 5y
Solve: \|5x + 11\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-1
What is -37% of 200?	Compute the percent value (integer-safe).	Compute -37/100 × 200.	-74
What is -27% of 0?	Compute the percent value (integer-safe).	Compute -27/100 × 0.	0
Solve: \|4x + 15\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-6 ≤ x ≤ -1
Solve for x: 1x + -3 = 11	Solve the linear equation.	Subtract b from both sides, then divide by a.	14
Simplify: -6x + -5x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x + 8y
Solve for x: -5x + 16 = 1	Solve the linear equation.	Subtract b from both sides, then divide by a.	3
Solve: 1x + 7 ≤ 15	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 8
Solve: \|-3x + 14\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	1
Solve: \|-3x + 8\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 9
Solve: -5x + 4 < 84	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -16
Solve for x: -7(x + 15) = -70	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5