question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
If each item costs 10 dollars and the total cost is 300, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
What is -266 ÷ -14?
|
Divide evenly.
|
Divide -266 by -14.
|
19
|
What is 9 - -200?
|
Subtract the second number from the first.
|
Subtract -200 from 9.
|
209
|
What is 0 ÷ -21?
|
Divide evenly.
|
Divide 0 by -21.
|
0
|
Simplify -14/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
What is 7^4?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 4 times (0th power = 1).
|
2401
|
What is -2^4?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 4 times (0th power = 1).
|
16
|
What is 122 - -215?
|
Subtract the second number from the first.
|
Subtract -215 from 122.
|
337
|
Solve for x: -9x + -7 = -7
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
Solve for x: 4x + -24 = -20
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
Solve for x: -1(x + 1) = 12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
If each item costs -7 dollars and the total cost is -7, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
1
|
What is 51 × 34?
|
Multiply the numbers.
|
Multiply 51 by 34.
|
1734
|
What is -30 ÷ 6?
|
Divide evenly.
|
Divide -30 by 6.
|
-5
|
Solve: -9x + -3 ≤ 33
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -4
|
Solve for x: -2(x + -12) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Solve for x: -2x + -23 = -19
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
What is -40 ÷ 8?
|
Divide evenly.
|
Divide -40 by 8.
|
-5
|
What is 5 × -21?
|
Multiply the numbers.
|
Multiply 5 by -21.
|
-105
|
What is 480 ÷ 30?
|
Divide evenly.
|
Divide 480 by 30.
|
16
|
What is 260 + -16?
|
Add the two numbers.
|
Add 260 and -16.
|
244
|
Simplify -8/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
What is -12 - -289?
|
Subtract the second number from the first.
|
Subtract -289 from -12.
|
277
|
Solve for x: -2(x + -4) = -18
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is 260 + 19?
|
Add the two numbers.
|
Add 260 and 19.
|
279
|
Simplify 70/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is 5^1?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 1 times (0th power = 1).
|
5
|
Solve for x: 7x + 1 = -69
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
What is 23 × -49?
|
Multiply the numbers.
|
Multiply 23 by -49.
|
-1127
|
What is 27 × 22?
|
Multiply the numbers.
|
Multiply 27 by 22.
|
594
|
What is -1 × 2?
|
Multiply the numbers.
|
Multiply -1 by 2.
|
-2
|
What is 9 - 225?
|
Subtract the second number from the first.
|
Subtract 225 from 9.
|
-216
|
What is 237 - -277?
|
Subtract the second number from the first.
|
Subtract -277 from 237.
|
514
|
Solve for x: 6x + 4 = 118
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
What is -247 + -52?
|
Add the two numbers.
|
Add -247 and -52.
|
-299
|
If each item costs 2 dollars and the total cost is -22, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-11
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
What is 36 ÷ -2?
|
Divide evenly.
|
Divide 36 by -2.
|
-18
|
Solve for x: 1x + -13 = -22
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
Simplify -24/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
What is -231 - -178?
|
Subtract the second number from the first.
|
Subtract -178 from -231.
|
-53
|
What is -61 + 245?
|
Add the two numbers.
|
Add -61 and 245.
|
184
|
Solve for x: 8x + 7 = 127
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
What is 1^3?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 3 times (0th power = 1).
|
1
|
What is 157 - -135?
|
Subtract the second number from the first.
|
Subtract -135 from 157.
|
292
|
What is 68 + -16?
|
Add the two numbers.
|
Add 68 and -16.
|
52
|
Solve for x: 11x + 17 = 215
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
What is -270 ÷ -30?
|
Divide evenly.
|
Divide -270 by -30.
|
9
|
Simplify -99/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
What is -420 ÷ 28?
|
Divide evenly.
|
Divide -420 by 28.
|
-15
|
What is 174 - -186?
|
Subtract the second number from the first.
|
Subtract -186 from 174.
|
360
|
What is 18 × 47?
|
Multiply the numbers.
|
Multiply 18 by 47.
|
846
|
Simplify -70/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is -7^5?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 5 times (0th power = 1).
|
-16807
|
What is 271 + 287?
|
Add the two numbers.
|
Add 271 and 287.
|
558
|
What is -14 ÷ 2?
|
Divide evenly.
|
Divide -14 by 2.
|
-7
|
What is -11 + 206?
|
Add the two numbers.
|
Add -11 and 206.
|
195
|
What is 48 + 134?
|
Add the two numbers.
|
Add 48 and 134.
|
182
|
What is 3^1?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 1 times (0th power = 1).
|
3
|
What is 39 × -48?
|
Multiply the numbers.
|
Multiply 39 by -48.
|
-1872
|
Simplify 30/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is -47 × -3?
|
Multiply the numbers.
|
Multiply -47 by -3.
|
141
|
Solve for x: 5(x + -13) = -60
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
If each item costs -6 dollars and the total cost is -36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
Solve for x: 9x + 19 = -26
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
Solve for x: 3(x + -12) = -21
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is -123 - -226?
|
Subtract the second number from the first.
|
Subtract -226 from -123.
|
103
|
Solve for x: -12x + 11 = -49
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
Simplify -12/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
If each item costs -1 dollars and the total cost is -23, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
What is -37 × 49?
|
Multiply the numbers.
|
Multiply -37 by 49.
|
-1813
|
Simplify 63/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Simplify -40/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is -56 + 224?
|
Add the two numbers.
|
Add -56 and 224.
|
168
|
Solve: 1x + -8 ≤ -11
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -3
|
Solve for x: 4(x + 5) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
What is 4^1?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 1 times (0th power = 1).
|
4
|
What is 65 ÷ 5?
|
Divide evenly.
|
Divide 65 by 5.
|
13
|
Simplify -64/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
What is 2^0?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 0 times (0th power = 1).
|
1
|
What is 7^0?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 0 times (0th power = 1).
|
1
|
Solve: -10x + 2 ≥ 142
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -14
|
Solve for x: -9x + -22 = 149
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
If each item costs -1 dollars and the total cost is 9, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
What is -160 ÷ -16?
|
Divide evenly.
|
Divide -160 by -16.
|
10
|
What is 54 - -229?
|
Subtract the second number from the first.
|
Subtract -229 from 54.
|
283
|
What is 34 × 34?
|
Multiply the numbers.
|
Multiply 34 by 34.
|
1156
|
What is -342 ÷ -18?
|
Divide evenly.
|
Divide -342 by -18.
|
19
|
What is 28 × 19?
|
Multiply the numbers.
|
Multiply 28 by 19.
|
532
|
What is -7^0?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 0 times (0th power = 1).
|
1
|
If each item costs 20 dollars and the total cost is -140, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
What is 21 + -197?
|
Add the two numbers.
|
Add 21 and -197.
|
-176
|
Solve for x: 4(x + -9) = 12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Simplify 70/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is 36 ÷ -6?
|
Divide evenly.
|
Divide 36 by -6.
|
-6
|
Simplify -35/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is 60 - -126?
|
Subtract the second number from the first.
|
Subtract -126 from 60.
|
186
|
What is 6^3?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 3 times (0th power = 1).
|
216
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
If each item costs 8 dollars and the total cost is -16, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
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