question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Simplify -30/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
If each item costs -2 dollars and the total cost is 6, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
What is 298 - -71?
|
Subtract the second number from the first.
|
Subtract -71 from 298.
|
369
|
Solve for x: 11x + 10 = 10
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
Solve: -1x + -16 ≥ -32
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 16
|
What is -234 ÷ -13?
|
Divide evenly.
|
Divide -234 by -13.
|
18
|
Simplify -48/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is 3^5?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 5 times (0th power = 1).
|
243
|
If each item costs 7 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
0
|
If each item costs 4 dollars and the total cost is 52, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
What is 45 ÷ 3?
|
Divide evenly.
|
Divide 45 by 3.
|
15
|
Solve for x: 1x + 12 = 17
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
What is 8^2?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 2 times (0th power = 1).
|
64
|
What is -276 + 245?
|
Add the two numbers.
|
Add -276 and 245.
|
-31
|
What is -99 - -244?
|
Subtract the second number from the first.
|
Subtract -244 from -99.
|
145
|
What is -155 + 57?
|
Add the two numbers.
|
Add -155 and 57.
|
-98
|
What is 340 ÷ -20?
|
Divide evenly.
|
Divide 340 by -20.
|
-17
|
What is 215 + -200?
|
Add the two numbers.
|
Add 215 and -200.
|
15
|
What is -46 × 28?
|
Multiply the numbers.
|
Multiply -46 by 28.
|
-1288
|
What is -42 ÷ 21?
|
Divide evenly.
|
Divide -42 by 21.
|
-2
|
What is 73 - 103?
|
Subtract the second number from the first.
|
Subtract 103 from 73.
|
-30
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
What is -6^0?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 0 times (0th power = 1).
|
1
|
What is 276 + -43?
|
Add the two numbers.
|
Add 276 and -43.
|
233
|
What is 28 ÷ 14?
|
Divide evenly.
|
Divide 28 by 14.
|
2
|
Simplify 40/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Solve for x: 4(x + -1) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
What is -4^1?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 1 times (0th power = 1).
|
-4
|
Solve: 4x + 2 < 54
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 13
|
Solve for x: -3(x + -1) = 30
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
What is 256 - 204?
|
Subtract the second number from the first.
|
Subtract 204 from 256.
|
52
|
What is -4 × -18?
|
Multiply the numbers.
|
Multiply -4 by -18.
|
72
|
What is -134 - 270?
|
Subtract the second number from the first.
|
Subtract 270 from -134.
|
-404
|
What is 70 ÷ -7?
|
Divide evenly.
|
Divide 70 by -7.
|
-10
|
What is -81 + -244?
|
Add the two numbers.
|
Add -81 and -244.
|
-325
|
Solve for x: -8x + 2 = -118
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
If each item costs 13 dollars and the total cost is -65, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
If each item costs 5 dollars and the total cost is -85, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-17
|
What is 1^1?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 1 times (0th power = 1).
|
1
|
Solve for x: -3(x + 2) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Solve for x: 12x + 0 = 240
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
What is 7^2?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 2 times (0th power = 1).
|
49
|
What is -174 + 107?
|
Add the two numbers.
|
Add -174 and 107.
|
-67
|
Simplify -121/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
What is -185 + 207?
|
Add the two numbers.
|
Add -185 and 207.
|
22
|
What is -247 - -42?
|
Subtract the second number from the first.
|
Subtract -42 from -247.
|
-205
|
What is 52 ÷ -26?
|
Divide evenly.
|
Divide 52 by -26.
|
-2
|
What is 34 × 24?
|
Multiply the numbers.
|
Multiply 34 by 24.
|
816
|
What is -3^5?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 5 times (0th power = 1).
|
-243
|
Solve for x: 2(x + 0) = 8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Solve: 5x + -17 > -12
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 1
|
What is -8^1?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 1 times (0th power = 1).
|
-8
|
Simplify 52/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Simplify 4/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
Solve for x: 3(x + -12) = -57
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
What is -9 - -4?
|
Subtract the second number from the first.
|
Subtract -4 from -9.
|
-5
|
What is -172 + -223?
|
Add the two numbers.
|
Add -172 and -223.
|
-395
|
If each item costs 12 dollars and the total cost is -228, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
Solve for x: -7(x + 3) = -70
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
Simplify 6/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is -106 - 27?
|
Subtract the second number from the first.
|
Subtract 27 from -106.
|
-133
|
What is -273 - -146?
|
Subtract the second number from the first.
|
Subtract -146 from -273.
|
-127
|
What is 7^2?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 2 times (0th power = 1).
|
49
|
Simplify -32/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is 420 ÷ 28?
|
Divide evenly.
|
Divide 420 by 28.
|
15
|
What is -207 - -229?
|
Subtract the second number from the first.
|
Subtract -229 from -207.
|
22
|
Solve for x: 4(x + 2) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
What is 3^0?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 0 times (0th power = 1).
|
1
|
Solve: -1x + 19 > 23
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -4
|
If each item costs -6 dollars and the total cost is -24, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
4
|
What is -45 × -1?
|
Multiply the numbers.
|
Multiply -45 by -1.
|
45
|
What is -294 ÷ -21?
|
Divide evenly.
|
Divide -294 by -21.
|
14
|
Solve for x: 8(x + -15) = -24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
What is -278 + -167?
|
Add the two numbers.
|
Add -278 and -167.
|
-445
|
Simplify -3/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is 29 + -203?
|
Add the two numbers.
|
Add 29 and -203.
|
-174
|
Solve for x: -4(x + 12) = -100
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Solve: -10x + 2 > -78
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 8
|
Solve for x: -4(x + -10) = 56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve for x: 7(x + -3) = -84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
What is 13 × -53?
|
Multiply the numbers.
|
Multiply 13 by -53.
|
-689
|
What is -265 - -14?
|
Subtract the second number from the first.
|
Subtract -14 from -265.
|
-251
|
Solve for x: -8(x + 7) = -136
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
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 274 - -212?
|
Subtract the second number from the first.
|
Subtract -212 from 274.
|
486
|
Simplify 72/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is -110 + 93?
|
Add the two numbers.
|
Add -110 and 93.
|
-17
|
What is 208 + -97?
|
Add the two numbers.
|
Add 208 and -97.
|
111
|
What is -33 ÷ -3?
|
Divide evenly.
|
Divide -33 by -3.
|
11
|
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
|
What is -151 + -3?
|
Add the two numbers.
|
Add -151 and -3.
|
-154
|
What is 4^5?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 5 times (0th power = 1).
|
1024
|
If each item costs 5 dollars and the total cost is -35, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
Solve for x: -10x + -16 = -186
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
What is 2^1?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 1 times (0th power = 1).
|
2
|
Solve for x: -4(x + 5) = -76
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
Solve for x: 1x + 29 = 37
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
Solve for x: 2(x + -2) = -32
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
What is 15 ÷ 5?
|
Divide evenly.
|
Divide 15 by 5.
|
3
|
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