question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Simplify 128/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
Solve for x: 4x + 8 = 20
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is 18 ÷ 9?
|
Divide evenly.
|
Divide 18 by 9.
|
2
|
What is -179 - -15?
|
Subtract the second number from the first.
|
Subtract -15 from -179.
|
-164
|
If each item costs 17 dollars and the total cost is 68, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
4
|
If each item costs 11 dollars and the total cost is -220, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
What is 16 × -36?
|
Multiply the numbers.
|
Multiply 16 by -36.
|
-576
|
What is -4^1?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 1 times (0th power = 1).
|
-4
|
If each item costs -10 dollars and the total cost is 200, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
What is 187 + -288?
|
Add the two numbers.
|
Add 187 and -288.
|
-101
|
Solve for x: -11x + -14 = -146
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
What is -5^5?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 5 times (0th power = 1).
|
-3125
|
What is -392 ÷ -28?
|
Divide evenly.
|
Divide -392 by -28.
|
14
|
What is -378 ÷ 27?
|
Divide evenly.
|
Divide -378 by 27.
|
-14
|
If each item costs 17 dollars and the total cost is 85, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
What is -3 × 7?
|
Multiply the numbers.
|
Multiply -3 by 7.
|
-21
|
Solve for x: 2x + 29 = 55
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
If each item costs 15 dollars and the total cost is 165, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
11
|
What is 164 - -47?
|
Subtract the second number from the first.
|
Subtract -47 from 164.
|
211
|
Solve for x: 7(x + -12) = -98
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
If each item costs -2 dollars and the total cost is 10, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
What is -100 + -49?
|
Add the two numbers.
|
Add -100 and -49.
|
-149
|
Solve for x: -2(x + -12) = 22
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is -44 × -51?
|
Multiply the numbers.
|
Multiply -44 by -51.
|
2244
|
What is -25 + -249?
|
Add the two numbers.
|
Add -25 and -249.
|
-274
|
If each item costs 17 dollars and the total cost is 306, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
What is 15 × 23?
|
Multiply the numbers.
|
Multiply 15 by 23.
|
345
|
What is -56 ÷ 28?
|
Divide evenly.
|
Divide -56 by 28.
|
-2
|
What is 432 ÷ 27?
|
Divide evenly.
|
Divide 432 by 27.
|
16
|
Simplify -35/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
Solve: 6x + 8 > -94
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -17
|
If each item costs 19 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
0
|
What is -2 + -128?
|
Add the two numbers.
|
Add -2 and -128.
|
-130
|
Simplify -24/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
What is -47 - -236?
|
Subtract the second number from the first.
|
Subtract -236 from -47.
|
189
|
Solve: 9x + -10 < -100
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -10
|
What is 260 ÷ 13?
|
Divide evenly.
|
Divide 260 by 13.
|
20
|
What is -70 ÷ -7?
|
Divide evenly.
|
Divide -70 by -7.
|
10
|
What is -179 + 226?
|
Add the two numbers.
|
Add -179 and 226.
|
47
|
What is 4^1?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 1 times (0th power = 1).
|
4
|
Solve for x: 2x + 23 = 29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is 240 ÷ 20?
|
Divide evenly.
|
Divide 240 by 20.
|
12
|
What is 42 - -23?
|
Subtract the second number from the first.
|
Subtract -23 from 42.
|
65
|
What is -3^5?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 5 times (0th power = 1).
|
-243
|
Solve for x: -6x + -17 = 85
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Solve for x: -2(x + -5) = 6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
If each item costs -2 dollars and the total cost is 4, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
Solve: 7x + 2 ≤ 107
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 15
|
Simplify 60/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
What is 6^1?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 1 times (0th power = 1).
|
6
|
What is 223 - -138?
|
Subtract the second number from the first.
|
Subtract -138 from 223.
|
361
|
Solve for x: 7(x + 15) = 105
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
Solve for x: 5(x + -5) = 35
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
What is -3 - 243?
|
Subtract the second number from the first.
|
Subtract 243 from -3.
|
-246
|
If each item costs 11 dollars and the total cost is -187, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-17
|
What is -16 × 32?
|
Multiply the numbers.
|
Multiply -16 by 32.
|
-512
|
Solve for x: -8x + 11 = 67
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
Solve for x: -4(x + 12) = -48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
What is -9 × -3?
|
Multiply the numbers.
|
Multiply -9 by -3.
|
27
|
If each item costs 19 dollars and the total cost is -95, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
Solve for x: 7(x + 14) = 175
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -7^4?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 4 times (0th power = 1).
|
2401
|
What is 19 × -25?
|
Multiply the numbers.
|
Multiply 19 by -25.
|
-475
|
Solve for x: 11x + 12 = 1
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-1
|
What is 45 ÷ 5?
|
Divide evenly.
|
Divide 45 by 5.
|
9
|
What is 3^4?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 4 times (0th power = 1).
|
81
|
What is 120 ÷ -15?
|
Divide evenly.
|
Divide 120 by -15.
|
-8
|
Simplify 49/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is -2^3?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 3 times (0th power = 1).
|
-8
|
Solve for x: -6x + 8 = -64
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
Solve: -6x + 2 < -4
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 1
|
Solve: -1x + 8 > 21
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -13
|
Simplify -11/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
Simplify 135/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Solve for x: 7x + 21 = 21
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
What is -90 ÷ -18?
|
Divide evenly.
|
Divide -90 by -18.
|
5
|
Solve for x: -1(x + 10) = -11
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
If each item costs 12 dollars and the total cost is -180, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
What is 392 ÷ 28?
|
Divide evenly.
|
Divide 392 by 28.
|
14
|
Simplify -44/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
What is 16 × -7?
|
Multiply the numbers.
|
Multiply 16 by -7.
|
-112
|
What is -200 - -113?
|
Subtract the second number from the first.
|
Subtract -113 from -200.
|
-87
|
What is 60 × -5?
|
Multiply the numbers.
|
Multiply 60 by -5.
|
-300
|
Solve for x: -8x + 0 = 72
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
Solve: 9x + 13 < 40
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 3
|
What is 252 ÷ 18?
|
Divide evenly.
|
Divide 252 by 18.
|
14
|
What is 233 + -290?
|
Add the two numbers.
|
Add 233 and -290.
|
-57
|
What is -14 - -294?
|
Subtract the second number from the first.
|
Subtract -294 from -14.
|
280
|
What is 5 × -23?
|
Multiply the numbers.
|
Multiply 5 by -23.
|
-115
|
Solve for x: 3x + -1 = 5
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
What is 405 ÷ 27?
|
Divide evenly.
|
Divide 405 by 27.
|
15
|
Solve: -8x + -2 > -26
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 3
|
Simplify -144/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
What is -287 - 55?
|
Subtract the second number from the first.
|
Subtract 55 from -287.
|
-342
|
Solve for x: 9x + -26 = -179
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Simplify 21/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is 6^1?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 1 times (0th power = 1).
|
6
|
What is 299 ÷ 23?
|
Divide evenly.
|
Divide 299 by 23.
|
13
|
Solve for x: -5(x + -4) = 55
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
What is -11 × -32?
|
Multiply the numbers.
|
Multiply -11 by -32.
|
352
|
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