question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve for x: 11x + -11 = -209
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is 93 - -99?
|
Subtract the second number from the first.
|
Subtract -99 from 93.
|
192
|
What is 153 - -269?
|
Subtract the second number from the first.
|
Subtract -269 from 153.
|
422
|
Solve: -3x + 17 < 50
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -11
|
If each item costs 20 dollars and the total cost is 260, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
Simplify 55/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Solve: 7x + 3 < -116
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -17
|
What is 24 × 51?
|
Multiply the numbers.
|
Multiply 24 by 51.
|
1224
|
What is -181 + 145?
|
Add the two numbers.
|
Add -181 and 145.
|
-36
|
Solve for x: 2x + 19 = 15
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
What is -39 - -260?
|
Subtract the second number from the first.
|
Subtract -260 from -39.
|
221
|
What is 10 × -34?
|
Multiply the numbers.
|
Multiply 10 by -34.
|
-340
|
Solve: -5x + -4 ≥ -39
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 7
|
What is 108 - 115?
|
Subtract the second number from the first.
|
Subtract 115 from 108.
|
-7
|
What is -22 ÷ 11?
|
Divide evenly.
|
Divide -22 by 11.
|
-2
|
Solve: 8x + -2 ≥ 102
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 13
|
If each item costs 14 dollars and the total cost is 210, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
If each item costs 18 dollars and the total cost is -270, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
What is -82 + 10?
|
Add the two numbers.
|
Add -82 and 10.
|
-72
|
What is 3 - -6?
|
Subtract the second number from the first.
|
Subtract -6 from 3.
|
9
|
What is -7^4?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 4 times (0th power = 1).
|
2401
|
Solve for x: 2x + 22 = 10
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-6
|
If each item costs 14 dollars and the total cost is 28, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
2
|
Simplify -30/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is 223 + 289?
|
Add the two numbers.
|
Add 223 and 289.
|
512
|
What is -147 + 24?
|
Add the two numbers.
|
Add -147 and 24.
|
-123
|
What is 4 × -8?
|
Multiply the numbers.
|
Multiply 4 by -8.
|
-32
|
If each item costs 7 dollars and the total cost is -28, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
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
|
Simplify -36/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
If each item costs -6 dollars and the total cost is 18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
What is 7^0?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 0 times (0th power = 1).
|
1
|
Solve for x: -3(x + -10) = 36
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
What is 242 + 238?
|
Add the two numbers.
|
Add 242 and 238.
|
480
|
Solve for x: 4x + -13 = -1
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is -4 ÷ -2?
|
Divide evenly.
|
Divide -4 by -2.
|
2
|
Solve for x: -7x + 9 = 65
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
What is -45 × 16?
|
Multiply the numbers.
|
Multiply -45 by 16.
|
-720
|
Solve for x: -8(x + 7) = -96
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
Solve: 10x + 12 ≤ -48
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -6
|
What is -159 - -145?
|
Subtract the second number from the first.
|
Subtract -145 from -159.
|
-14
|
What is -213 - -41?
|
Subtract the second number from the first.
|
Subtract -41 from -213.
|
-172
|
Solve: 9x + 12 > 165
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 17
|
What is 1^0?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 0 times (0th power = 1).
|
1
|
Solve: 8x + -7 ≥ 9
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 2
|
What is -107 - -248?
|
Subtract the second number from the first.
|
Subtract -248 from -107.
|
141
|
Solve: -4x + 15 > 51
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -9
|
What is 2 × -10?
|
Multiply the numbers.
|
Multiply 2 by -10.
|
-20
|
What is -259 + -275?
|
Add the two numbers.
|
Add -259 and -275.
|
-534
|
If each item costs 14 dollars and the total cost is -98, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
Simplify 7/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is -4^2?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 2 times (0th power = 1).
|
16
|
What is 0 ÷ 22?
|
Divide evenly.
|
Divide 0 by 22.
|
0
|
What is -8^3?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 3 times (0th power = 1).
|
-512
|
Simplify 18/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Solve for x: 3(x + -13) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
What is -91 + 205?
|
Add the two numbers.
|
Add -91 and 205.
|
114
|
Simplify 1/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
What is 72 ÷ -9?
|
Divide evenly.
|
Divide 72 by -9.
|
-8
|
Simplify 27/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
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
|
Solve for x: 4(x + -7) = -28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
Simplify -28/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
Solve for x: 3(x + -15) = -3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is -22 ÷ -11?
|
Divide evenly.
|
Divide -22 by -11.
|
2
|
What is 55 × -4?
|
Multiply the numbers.
|
Multiply 55 by -4.
|
-220
|
What is 41 + -170?
|
Add the two numbers.
|
Add 41 and -170.
|
-129
|
Solve: 4x + 12 ≤ -20
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -8
|
What is -56 ÷ -7?
|
Divide evenly.
|
Divide -56 by -7.
|
8
|
Simplify -50/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is 112 - 193?
|
Subtract the second number from the first.
|
Subtract 193 from 112.
|
-81
|
If each item costs 11 dollars and the total cost is 77, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
Solve: -10x + -18 < 92
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -11
|
Simplify -18/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
If each item costs -10 dollars and the total cost is -80, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
8
|
Solve: -5x + -19 ≤ 81
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -20
|
Solve: 1x + -6 < 3
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 9
|
If each item costs 14 dollars and the total cost is -210, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
Simplify 112/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
Solve for x: 8(x + 4) = 80
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
If each item costs 5 dollars and the total cost is 110, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
If each item costs 2 dollars and the total cost is 20, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
10
|
Solve for x: 7(x + -3) = 7
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Simplify -6/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
Simplify -168/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
What is -6^5?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 5 times (0th power = 1).
|
-7776
|
What is 256 - -160?
|
Subtract the second number from the first.
|
Subtract -160 from 256.
|
416
|
What is 40 ÷ -2?
|
Divide evenly.
|
Divide 40 by -2.
|
-20
|
What is 99 ÷ -11?
|
Divide evenly.
|
Divide 99 by -11.
|
-9
|
What is -190 - -50?
|
Subtract the second number from the first.
|
Subtract -50 from -190.
|
-140
|
If each item costs 15 dollars and the total cost is 270, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
What is -293 - -42?
|
Subtract the second number from the first.
|
Subtract -42 from -293.
|
-251
|
What is 58 × -45?
|
Multiply the numbers.
|
Multiply 58 by -45.
|
-2610
|
What is 42 + 42?
|
Add the two numbers.
|
Add 42 and 42.
|
84
|
Solve for x: 8(x + -9) = -152
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is 107 - -197?
|
Subtract the second number from the first.
|
Subtract -197 from 107.
|
304
|
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
|
What is -171 - 137?
|
Subtract the second number from the first.
|
Subtract 137 from -171.
|
-308
|
If each item costs 14 dollars and the total cost is 280, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
Solve for x: 8(x + 14) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
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