question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve for x: -4(x + 12) = -72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
Solve for x: -8x + 1 = 9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-1
|
Solve for x: 4x + 16 = -36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
Solve: -5x + 7 < 107
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -20
|
Solve for x: 11x + -4 = 139
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
Solve: -8x + -2 ≥ -66
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 8
|
Solve for x: -5(x + 0) = 20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve for x: 3x + -27 = -51
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
Solve for x: -6x + -25 = -145
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
Solve: -10x + -10 < -160
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 15
|
Solve for x: -5(x + -13) = -10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is 45 × 42?
|
Multiply the numbers.
|
Multiply 45 by 42.
|
1890
|
Solve: -8x + 1 > -87
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 11
|
What is 253 + -261?
|
Add the two numbers.
|
Add 253 and -261.
|
-8
|
What is 27 × 13?
|
Multiply the numbers.
|
Multiply 27 by 13.
|
351
|
If each item costs 8 dollars and the total cost is 168, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
21
|
Solve for x: -1(x + 2) = 1
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
What is 203 ÷ 29?
|
Divide evenly.
|
Divide 203 by 29.
|
7
|
Simplify 15/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is 4^5?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 5 times (0th power = 1).
|
1024
|
What is -22 ÷ -2?
|
Divide evenly.
|
Divide -22 by -2.
|
11
|
What is -36 × 20?
|
Multiply the numbers.
|
Multiply -36 by 20.
|
-720
|
What is 9 × 48?
|
Multiply the numbers.
|
Multiply 9 by 48.
|
432
|
Solve for x: 5(x + 6) = -20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
If each item costs -9 dollars and the total cost is -162, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
Simplify -16/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
Simplify -30/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
What is 37 - 215?
|
Subtract the second number from the first.
|
Subtract 215 from 37.
|
-178
|
What is 261 - -265?
|
Subtract the second number from the first.
|
Subtract -265 from 261.
|
526
|
What is 41 × 10?
|
Multiply the numbers.
|
Multiply 41 by 10.
|
410
|
Simplify 50/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is 162 - 113?
|
Subtract the second number from the first.
|
Subtract 113 from 162.
|
49
|
What is -20 × -12?
|
Multiply the numbers.
|
Multiply -20 by -12.
|
240
|
What is -93 + -105?
|
Add the two numbers.
|
Add -93 and -105.
|
-198
|
What is -91 + 169?
|
Add the two numbers.
|
Add -91 and 169.
|
78
|
What is 384 ÷ -24?
|
Divide evenly.
|
Divide 384 by -24.
|
-16
|
Solve for x: 2x + 23 = -5
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
What is 58 × -35?
|
Multiply the numbers.
|
Multiply 58 by -35.
|
-2030
|
What is -20 ÷ 5?
|
Divide evenly.
|
Divide -20 by 5.
|
-4
|
What is -390 ÷ -26?
|
Divide evenly.
|
Divide -390 by -26.
|
15
|
Solve for x: 8x + 0 = -152
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
What is -7 × -58?
|
Multiply the numbers.
|
Multiply -7 by -58.
|
406
|
What is -23 + -97?
|
Add the two numbers.
|
Add -23 and -97.
|
-120
|
What is 31 × 25?
|
Multiply the numbers.
|
Multiply 31 by 25.
|
775
|
What is -251 - 244?
|
Subtract the second number from the first.
|
Subtract 244 from -251.
|
-495
|
What is 43 × -39?
|
Multiply the numbers.
|
Multiply 43 by -39.
|
-1677
|
What is -285 ÷ 19?
|
Divide evenly.
|
Divide -285 by 19.
|
-15
|
What is -206 + -114?
|
Add the two numbers.
|
Add -206 and -114.
|
-320
|
What is -8^3?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 3 times (0th power = 1).
|
-512
|
If each item costs 1 dollars and the total cost is -18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Solve: -5x + -11 ≥ -56
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 9
|
Simplify -15/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
Solve: 3x + 15 ≤ 39
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 8
|
Solve for x: -8x + -15 = 81
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
Solve for x: -4x + 28 = -40
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
What is -215 + 173?
|
Add the two numbers.
|
Add -215 and 173.
|
-42
|
Solve: 6x + 20 ≥ -88
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -18
|
What is -57 × 42?
|
Multiply the numbers.
|
Multiply -57 by 42.
|
-2394
|
What is -44 × 17?
|
Multiply the numbers.
|
Multiply -44 by 17.
|
-748
|
Solve for x: -3x + 26 = 2
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
Solve: -2x + -4 ≥ -38
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 17
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
If each item costs -1 dollars and the total cost is -8, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
8
|
Solve for x: 1(x + -10) = -15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Solve for x: 7(x + 4) = 56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
What is 4^3?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 3 times (0th power = 1).
|
64
|
If each item costs 18 dollars and the total cost is -342, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
Solve for x: 6x + -23 = -131
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is 1^2?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 2 times (0th power = 1).
|
1
|
What is 1^4?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 4 times (0th power = 1).
|
1
|
Solve for x: 8x + -5 = -29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
What is -1^1?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 1 times (0th power = 1).
|
-1
|
Simplify -77/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
Solve: 7x + -2 ≤ -16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -2
|
What is -193 - 211?
|
Subtract the second number from the first.
|
Subtract 211 from -193.
|
-404
|
What is 4 × 9?
|
Multiply the numbers.
|
Multiply 4 by 9.
|
36
|
What is -162 + -233?
|
Add the two numbers.
|
Add -162 and -233.
|
-395
|
What is -236 + 153?
|
Add the two numbers.
|
Add -236 and 153.
|
-83
|
What is 5^0?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 0 times (0th power = 1).
|
1
|
What is -37 × 14?
|
Multiply the numbers.
|
Multiply -37 by 14.
|
-518
|
What is -1^3?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 3 times (0th power = 1).
|
-1
|
What is 44 - -251?
|
Subtract the second number from the first.
|
Subtract -251 from 44.
|
295
|
What is 4^5?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 5 times (0th power = 1).
|
1024
|
Simplify 10/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Solve for x: 12x + 17 = -79
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
What is -171 - -104?
|
Subtract the second number from the first.
|
Subtract -104 from -171.
|
-67
|
What is 16 × -36?
|
Multiply the numbers.
|
Multiply 16 by -36.
|
-576
|
Solve for x: -8x + -24 = 120
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is -278 + 11?
|
Add the two numbers.
|
Add -278 and 11.
|
-267
|
What is 6^4?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 4 times (0th power = 1).
|
1296
|
What is 126 ÷ 21?
|
Divide evenly.
|
Divide 126 by 21.
|
6
|
Solve for x: 4(x + -10) = -8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
What is 33 × 53?
|
Multiply the numbers.
|
Multiply 33 by 53.
|
1749
|
What is 154 - 106?
|
Subtract the second number from the first.
|
Subtract 106 from 154.
|
48
|
What is -51 × 29?
|
Multiply the numbers.
|
Multiply -51 by 29.
|
-1479
|
Solve for x: -8(x + -15) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
Simplify -90/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
What is -4^1?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 1 times (0th power = 1).
|
-4
|
If each item costs 3 dollars and the total cost is 72, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
What is 40 ÷ -2?
|
Divide evenly.
|
Divide 40 by -2.
|
-20
|
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