Datasets:
mlfoundations-dev
/
a1_math_mathcoder

Dataset card Data Studio Files
xet
 Community
text
stringlengths
36
215
instruction_seed
stringlengths
5
160
response_seed
stringlengths
1
30
{"question": "Let g be (-717)/267*54/(-16). Let w = -50/89 - g. Calculate the common denominator of (-2)/6*3/22 and w.", "answer": "88"}
Let g be (-717)/267*54/(-16). Let w = -50/89 - g. Calculate the common denominator of (-2)/6*3/22 and w.
88
{"question": "Expand (-2 - 1 + 1)*(-o**4 - o**4 + 3*o**4) + (o - o - 3*o)*(-6*o**3 - 77*o + 77*o).", "answer": "16*o**4"}
Expand (-2 - 1 + 1)*(-o**4 - o**4 + 3*o**4) + (o - o - 3*o)*(-6*o**3 - 77*o + 77*o).
16*o**4
{"question": "Factor z**4/8 + 97*z**3/8 - 34371*z**2/4 - 3505909*z/2 - 91732715.", "answer": "(z - 305)*(z + 134)**3/8"}
Factor z**4/8 + 97*z**3/8 - 34371*z**2/4 - 3505909*z/2 - 91732715.
(z - 305)*(z + 134)**3/8
{"question": "Simplify ((t**(-1/23)*t/t**(-25))/(t/(t/t**(-7/2)*t)*t**(-30)))**17 assuming t is positive.", "answer": "t**(47277/46)"}
Simplify ((t**(-1/23)*t/t**(-25))/(t/(t/t**(-7/2)*t)*t**(-30)))**17 assuming t is positive.
t**(47277/46)
{"question": "What is the millions digit of 11488314?", "answer": "1"}
What is the millions digit of 11488314?
1
{"question": "Let s(q) = -q**2 + 4*q + 2. Let b be s(5). Let f be 116 - (3 + -2)*b. Let y be (-4)/30 - f/1020. What is the closest to y in 0.5, 0.4, 0.3?", "answer": "0.3"}
Let s(q) = -q**2 + 4*q + 2. Let b be s(5). Let f be 116 - (3 + -2)*b. Let y be (-4)/30 - f/1020. What is the closest to y in 0.5, 0.4, 0.3?
0.3
{"question": "What is the ten thousands digit of 497199?", "answer": "9"}
What is the ten thousands digit of 497199?
9
{"question": "Does 37 divide 962?", "answer": "True"}
Does 37 divide 962?
True
{"question": "How many micrograms are there in 13693.71g?", "answer": "13693710000"}
How many micrograms are there in 13693.71g?
13693710000
{"question": "Solve 0 = -390*v - 54889 + 13159 for v.", "answer": "-107"}
Solve 0 = -390*v - 54889 + 13159 for v.
-107
{"question": "What is the second smallest value in -5, 9, 0.05, -25, 1/9?", "answer": "-5"}
What is the second smallest value in -5, 9, 0.05, -25, 1/9?
-5
{"question": "Let g = -41 - -14. Let q(y) = 2*y + 79. Calculate the remainder when q(g) is divided by 11.", "answer": "3"}
Let g = -41 - -14. Let q(y) = 2*y + 79. Calculate the remainder when q(g) is divided by 11.
3
{"question": "Is 2681 >= 2681?", "answer": "True"}
Is 2681 >= 2681?
True
{"question": "Simplify (l/l**(-6)*l*l**(-23))/((l/(l/(l**29/l)))/l*l*l**22*l) assuming l is positive.", "answer": "l**(-66)"}
Simplify (l/l**(-6)*l*l**(-23))/((l/(l/(l**29/l)))/l*l*l**22*l) assuming l is positive.
l**(-66)
{"question": "Three letters picked without replacement from {p: 5, y: 1, x: 4, o: 4, c: 1}. What is prob of sequence yxx?", "answer": "2/455"}
Three letters picked without replacement from {p: 5, y: 1, x: 4, o: 4, c: 1}. What is prob of sequence yxx?
2/455
{"question": "(-3)/1 - 17*(-5)/35", "answer": "-4/7"}
(-3)/1 - 17*(-5)/35
-4/7
{"question": "Two letters picked without replacement from fdhdash. Give prob of picking 2 h.", "answer": "1/21"}
Two letters picked without replacement from fdhdash. Give prob of picking 2 h.
1/21
{"question": "Let h be (-9)/7 + 2/7. Suppose -7*u - 5*k = 29, 0 = 5*u + 3*k - 50 + 69. Sort u, 6, h, 3 in descending order.", "answer": "6, 3, h, u"}
Let h be (-9)/7 + 2/7. Suppose -7*u - 5*k = 29, 0 = 5*u + 3*k - 50 + 69. Sort u, 6, h, 3 in descending order.
6, 3, h, u
{"question": "Let g(n) = 18876*n - 4056. Let l(y) = -1452*y + 312. Let b(s) = -2*g(s) - 27*l(s). What is the first derivative of b(q) wrt q?", "answer": "1452"}
Let g(n) = 18876*n - 4056. Let l(y) = -1452*y + 312. Let b(s) = -2*g(s) - 27*l(s). What is the first derivative of b(q) wrt q?
1452
{"question": "What is -67.82239 rounded to 1 decimal place?", "answer": "-67.8"}
What is -67.82239 rounded to 1 decimal place?
-67.8
{"question": "Suppose 0 = i + 2 - 11. Does 9 divide i?", "answer": "True"}
Suppose 0 = i + 2 - 11. Does 9 divide i?
True
{"question": "Simplify ((sqrt(2057) + 1 + -1 - sqrt(2057))**2*-3 + (1*sqrt(2057) + 3)*-4 + 5)*-1.", "answer": "7 + 44*sqrt(17)"}
Simplify ((sqrt(2057) + 1 + -1 - sqrt(2057))**2*-3 + (1*sqrt(2057) + 3)*-4 + 5)*-1.
7 + 44*sqrt(17)
{"question": "In base 6, what is 0 - -114501140?", "answer": "114501140"}
In base 6, what is 0 - -114501140?
114501140
{"question": "List the prime factors of 574880.", "answer": "2, 5, 3593"}
List the prime factors of 574880.
2, 5, 3593
{"question": "Which is the biggest value? (a) -28 (b) -57 (c) -1", "answer": "c"}
Which is the biggest value? (a) -28 (b) -57 (c) -1
c
{"question": "Convert 61656236 (base 7) to base 11.", "answer": "2a1428a"}
Convert 61656236 (base 7) to base 11.
2a1428a
{"question": "What is prob of picking 1 b, 1 k, and 1 e when three letters picked without replacement from bkfbbeztteff?", "answer": "3/110"}
What is prob of picking 1 b, 1 k, and 1 e when three letters picked without replacement from bkfbbeztteff?
3/110
{"question": "Calculate 2 + 25 + 31 - (19 + 7).", "answer": "32"}
Calculate 2 + 25 + 31 - (19 + 7).
32
{"question": "What is the smallest common multiple of 415896 and 4464?", "answer": "2495376"}
What is the smallest common multiple of 415896 and 4464?
2495376
{"question": "Suppose 0 = 4*f + 3*p - 37, 5*f - 4*p - 9 - 14 = 0. What is the highest common factor of f and 77?", "answer": "7"}
Suppose 0 = 4*f + 3*p - 37, 5*f - 4*p - 9 - 14 = 0. What is the highest common factor of f and 77?
7
{"question": "What is the h'th term of 18080683, 18080686, 18080689?", "answer": "3*h + 18080680"}
What is the h'th term of 18080683, 18080686, 18080689?
3*h + 18080680
{"question": "What is 453 minutes after 12:46 PM?", "answer": "8:19 PM"}
What is 453 minutes after 12:46 PM?
8:19 PM
{"question": "Suppose 86*v - 92*v = 48. Calculate the common denominator of 61*(-8)/18*v/64 and -53/39.", "answer": "234"}
Suppose 86*v - 92*v = 48. Calculate the common denominator of 61*(-8)/18*v/64 and -53/39.
234
{"question": "Is 790816 a multiple of 83?", "answer": "False"}
Is 790816 a multiple of 83?
False
{"question": "Factor -1367631*m - 3/5*m**5 - 90*m**4 - 5106*m**3 - 131424*m**2 - 11244966/5.", "answer": "-3*(m + 2)*(m + 37)**4/5"}
Factor -1367631*m - 3/5*m**5 - 90*m**4 - 5106*m**3 - 131424*m**2 - 11244966/5.
-3*(m + 2)*(m + 37)**4/5
{"question": "Simplify (5*(-1 + (sqrt(304) - 1*sqrt(304)))*1)**2.", "answer": "25"}
Simplify (5*(-1 + (sqrt(304) - 1*sqrt(304)))*1)**2.
25
{"question": "Which is the nearest to -1466? (a) 0.1 (b) 2 (c) 11 (d) 2/7", "answer": "a"}
Which is the nearest to -1466? (a) 0.1 (b) 2 (c) 11 (d) 2/7
a
{"question": "Collect the terms in -19986 - 19861 - 3*l**3 + 10901 - 21396 + 5119.", "answer": "-3*l**3 - 45223"}
Collect the terms in -19986 - 19861 - 3*l**3 + 10901 - 21396 + 5119.
-3*l**3 - 45223
{"question": "Is ((-18)/54)/((-2)/15564) a prime number?", "answer": "False"}
Is ((-18)/54)/((-2)/15564) a prime number?
False
{"question": "Expand (3 - 3 + k)*(k - 2*k + 2*k) + (2*k - 3*k + 2*k)*(21*k - 2*k + 21*k).", "answer": "41*k**2"}
Expand (3 - 3 + k)*(k - 2*k + 2*k) + (2*k - 3*k + 2*k)*(21*k - 2*k + 21*k).
41*k**2
{"question": "What is 8849 to the power of 1/4, to the nearest integer?", "answer": "10"}
What is 8849 to the power of 1/4, to the nearest integer?
10
{"question": "Let r(t) = 6*t**2 - 405*t - 620. Give r(69).", "answer": "1"}
Let r(t) = 6*t**2 - 405*t - 620. Give r(69).
1
{"question": "Suppose 0 = -3*y - 5 + 95. Suppose -s - m = 2*m + 8, 5*m = -5*s - y. Let j = s - -9. Solve j*u = -u for u.", "answer": "0"}
Suppose 0 = -3*y - 5 + 95. Suppose -s - m = 2*m + 8, 5*m = -5*s - y. Let j = s - -9. Solve j*u = -u for u.
0
{"question": "Suppose -3 - 1 = -2*h. Is 512/h + 0 + 3 composite?", "answer": "True"}
Suppose -3 - 1 = -2*h. Is 512/h + 0 + 3 composite?
True
{"question": "Let n be 3*6/12*(-466)/(-3). Let o = n + -390. Let s = o - -268. What is the tens digit of s?", "answer": "1"}
Let n be 3*6/12*(-466)/(-3). Let o = n + -390. Let s = o - -268. What is the tens digit of s?
1
{"question": "Suppose 3*v = -2*v. Let j = v + -7. Let m(g) = -9*g**2 - 6*g + 10. Let k(t) = -5*t**2 - 3*t + 5. Let l(n) = j*k(n) + 4*m(n). Determine l(-4).", "answer": "1"}
Suppose 3*v = -2*v. Let j = v + -7. Let m(g) = -9*g**2 - 6*g + 10. Let k(t) = -5*t**2 - 3*t + 5. Let l(n) = j*k(n) + 4*m(n). Determine l(-4).
1
{"question": "What is 0.5 plus -217418.78562?", "answer": "-217418.28562"}
What is 0.5 plus -217418.78562?
-217418.28562
{"question": "Let o(f) = 2*f**3 - 4*f**2 + 2*f - 7. Let k be o(2). Let x = -29 - -50. Let p = x - 10. Which is the second smallest value? (a) k (b) -4 (c) -0.3 (d) p", "answer": "a"}
Let o(f) = 2*f**3 - 4*f**2 + 2*f - 7. Let k be o(2). Let x = -29 - -50. Let p = x - 10. Which is the second smallest value? (a) k (b) -4 (c) -0.3 (d) p
a
{"question": "What is the g'th term of -4900, -4886, -4872?", "answer": "14*g - 4914"}
What is the g'th term of -4900, -4886, -4872?
14*g - 4914
{"question": "What is -2.173822 rounded to zero dps?", "answer": "-2"}
What is -2.173822 rounded to zero dps?
-2
{"question": "Calculate the greatest common divisor of 5 and 18279395.", "answer": "5"}
Calculate the greatest common divisor of 5 and 18279395.
5
{"question": "Calculate the remainder when 518875 is divided by 141.", "answer": "136"}
Calculate the remainder when 518875 is divided by 141.
136
{"question": "Calculate (-410)/1520 + (-6)/(-16).", "answer": "2/19"}
Calculate (-410)/1520 + (-6)/(-16).
2/19
{"question": "Let b be (2 - 11)/(-1) - (5 - 4). What is the nearest to -1 in 1, b, 1/7?", "answer": "1/7"}
Let b be (2 - 11)/(-1) - (5 - 4). What is the nearest to -1 in 1, b, 1/7?
1/7
{"question": "What is the value of (-5 - 0) + (0 - (-1 + 2))?", "answer": "-6"}
What is the value of (-5 - 0) + (0 - (-1 + 2))?
-6
{"question": "In base 15, what is -50 + 6400ce?", "answer": "64007e"}
In base 15, what is -50 + 6400ce?
64007e
{"question": "What is the v'th term of -3086485, -3086484, -3086483?", "answer": "v - 3086486"}
What is the v'th term of -3086485, -3086484, -3086483?
v - 3086486
{"question": "Let f(g) = 4*g**3 + 3*g + 5. Let r(c) = -2*c**3 - 2*c - 3. Let t(a) = 3*f(a) + 5*r(a). Find the second derivative of t(h) wrt h.", "answer": "12*h"}
Let f(g) = 4*g**3 + 3*g + 5. Let r(c) = -2*c**3 - 2*c - 3. Let t(a) = 3*f(a) + 5*r(a). Find the second derivative of t(h) wrt h.
12*h
{"question": "Solve 12*v = -0*v for v.", "answer": "0"}
Solve 12*v = -0*v for v.
0
{"question": "Let f(s) = 46*s - 4230. Let r(u) = -9*u + 769. Let a(v) = -4*f(v) - 22*r(v). Let g be (3/(-9) - -1)*3. Give a(g).", "answer": "30"}
Let f(s) = 46*s - 4230. Let r(u) = -9*u + 769. Let a(v) = -4*f(v) - 22*r(v). Let g be (3/(-9) - -1)*3. Give a(g).
30
{"question": "What is next in 17065, 17068, 17071, 17074?", "answer": "17077"}
What is next in 17065, 17068, 17071, 17074?
17077
{"question": "Calculate 0 divided by 643264.", "answer": "0"}
Calculate 0 divided by 643264.
0
{"question": "Calculate the remainder when 334 is divided by 68.", "answer": "62"}
Calculate the remainder when 334 is divided by 68.
62
{"question": "What is the remainder when 40 is divided by 11 + 0 + (0 - 0)?", "answer": "7"}
What is the remainder when 40 is divided by 11 + 0 + (0 - 0)?
7
{"question": "Let q(t) = -3*t + 10. Let k be q(0). Suppose 2*d - 25 = -5*y, -d - 2*y = 3*y - k. What is the highest common divisor of d and 6?", "answer": "3"}
Let q(t) = -3*t + 10. Let k be q(0). Suppose 2*d - 25 = -5*y, -d - 2*y = 3*y - k. What is the highest common divisor of d and 6?
3
{"question": "What is 697 minutes before 8:15 PM?", "answer": "8:38 AM"}
What is 697 minutes before 8:15 PM?
8:38 AM
{"question": "Let r = -6 - -6. Suppose 0*y - y = r. Let k(d) = y*d - 4 + 0 + 2*d. What is k(4)?", "answer": "4"}
Let r = -6 - -6. Suppose 0*y - y = r. Let k(d) = y*d - 4 + 0 + 2*d. What is k(4)?
4
{"question": "Solve -41*q + 44*q = 5*r - 25, r + q = 5 for r.", "answer": "5"}
Solve -41*q + 44*q = 5*r - 25, r + q = 5 for r.
5
{"question": "Simplify (k**(2/9)*k*(k*k**(-9))/k*k)**(-1/9)/((k**(-4)/(k**(-5)*k))/(((k/(k/(k**6*k))*k)/k)/(k*k**(-5)))) assuming k is positive.", "answer": "k**(952/81)"}
Simplify (k**(2/9)*k*(k*k**(-9))/k*k)**(-1/9)/((k**(-4)/(k**(-5)*k))/(((k/(k/(k**6*k))*k)/k)/(k*k**(-5)))) assuming k is positive.
k**(952/81)
{"question": "Let f(v) = 3*v - 3*v + 2*v - 3*v. Let n be f(0). Suppose n = -4*p - 0 + 24. What is the lowest common multiple of p and 6?", "answer": "6"}
Let f(v) = 3*v - 3*v + 2*v - 3*v. Let n be f(0). Suppose n = -4*p - 0 + 24. What is the lowest common multiple of p and 6?
6
{"question": "Let k(j) = -3*j**3 + 24*j**2 - 26*j - 51. Determine k(6).", "answer": "9"}
Let k(j) = -3*j**3 + 24*j**2 - 26*j - 51. Determine k(6).
9
{"question": "Let w = 22 + -13. Let b(c) = -5 - c + 9*c**2 - 12 + 4*c**3 + 29 - c**3 - 2. Is b(w) prime?", "answer": "True"}
Let w = 22 + -13. Let b(c) = -5 - c + 9*c**2 - 12 + 4*c**3 + 29 - c**3 - 2. Is b(w) prime?
True
{"question": "Calculate 31 - (11 - -1 - 27) - 13.", "answer": "33"}
Calculate 31 - (11 - -1 - 27) - 13.
33
{"question": "What is the v'th term of -885, -4029, -9429, -17091, -27021, -39225, -53709, -70479?", "answer": "-v**3 - 1122*v**2 + 229*v + 9"}
What is the v'th term of -885, -4029, -9429, -17091, -27021, -39225, -53709, -70479?
-v**3 - 1122*v**2 + 229*v + 9
{"question": "What is the nearest to 0.1 in -5, -2.2, -1/6, 0?", "answer": "0"}
What is the nearest to 0.1 in -5, -2.2, -1/6, 0?
0
{"question": "Is 29 a factor of 2827?", "answer": "False"}
Is 29 a factor of 2827?
False
{"question": "Solve 3*f - 13 = -0*o + 2*o, 0 = -2*o - 5*f + 27 for o.", "answer": "1"}
Solve 3*f - 13 = -0*o + 2*o, 0 = -2*o - 5*f + 27 for o.
1
{"question": "Let f = -153820 - -153598.901. Let n = 221 + f. What is n rounded to 2 decimal places?", "answer": "-0.1"}
Let f = -153820 - -153598.901. Let n = 221 + f. What is n rounded to 2 decimal places?
-0.1
{"question": "How many nanoseconds are there in 596822.8 minutes?", "answer": "35809368000000000"}
How many nanoseconds are there in 596822.8 minutes?
35809368000000000
{"question": "-130 (base 14) to base 9", "answer": "-284"}
-130 (base 14) to base 9
-284
{"question": "What is the biggest value in -5, 5, 1953, -0.37?", "answer": "1953"}
What is the biggest value in -5, 5, 1953, -0.37?
1953
{"question": "Collect the terms in -2*a**3 + 63261 - 63261.", "answer": "-2*a**3"}
Collect the terms in -2*a**3 + 63261 - 63261.
-2*a**3
{"question": "Simplify (v/(v**9*v)*((v*v**(2/23))/v)/v*v**0*v**(2/27)/v)/((((v**10*v)/v)/v)/(v**0/v))**(-15/2) assuming v is positive.", "answer": "v**(39844/621)"}
Simplify (v/(v**9*v)*((v*v**(2/23))/v)/v*v**0*v**(2/27)/v)/((((v**10*v)/v)/v)/(v**0/v))**(-15/2) assuming v is positive.
v**(39844/621)
{"question": "Calculate the greatest common factor of 4028 and 1272.", "answer": "212"}
Calculate the greatest common factor of 4028 and 1272.
212
{"question": "In base 11, what is -526a9 - -227?", "answer": "-52482"}
In base 11, what is -526a9 - -227?
-52482
{"question": "Simplify ((d/(d/(d/(d*d**(-1/6)*d)))*d*(d*d/(d*(d**(1/9)*d)/d))/d)/(d*d**(2/11)/d)**46)**(1/7) assuming d is positive.", "answer": "d**(-235/198)"}
Simplify ((d/(d/(d/(d*d**(-1/6)*d)))*d*(d*d/(d*(d**(1/9)*d)/d))/d)/(d*d**(2/11)/d)**46)**(1/7) assuming d is positive.
d**(-235/198)
{"question": "Suppose 4*p + 8 = 0, -5*a + 5*p - 3*p = -9505184. Suppose -4*l + a = 192500. Suppose l = 8*s + 75134. Round s to the nearest 1000.", "answer": "44000"}
Suppose 4*p + 8 = 0, -5*a + 5*p - 3*p = -9505184. Suppose -4*l + a = 192500. Suppose l = 8*s + 75134. Round s to the nearest 1000.
44000
{"question": "Suppose 55 + 25 = 4*f. Suppose -6*h = -h - f. Put 0, h, -5 in increasing order.", "answer": "-5, 0, h"}
Suppose 55 + 25 = 4*f. Suppose -6*h = -h - f. Put 0, h, -5 in increasing order.
-5, 0, h
{"question": "Calculate prob of picking 1 f and 2 r when three letters picked without replacement from {g: 1, j: 4, r: 3, f: 2, m: 2}.", "answer": "3/110"}
Calculate prob of picking 1 f and 2 r when three letters picked without replacement from {g: 1, j: 4, r: 3, f: 2, m: 2}.
3/110
{"question": "What is the closest to -1 in 0, 0.1, -3908, -4?", "answer": "0"}
What is the closest to -1 in 0, 0.1, -3908, -4?
0
{"question": "Collect the terms in 3*w**3 + 5*w - 6*w + 72*w**3 + 5*w**3.", "answer": "80*w**3 - w"}
Collect the terms in 3*w**3 + 5*w - 6*w + 72*w**3 + 5*w**3.
80*w**3 - w
{"question": "Which is bigger: -83 or -20?", "answer": "-20"}
Which is bigger: -83 or -20?
-20
{"question": "What is -2.53282 rounded to 2 decimal places?", "answer": "-2.53"}
What is -2.53282 rounded to 2 decimal places?
-2.53
{"question": "Calculate the remainder when 825 is divided by 104.", "answer": "97"}
Calculate the remainder when 825 is divided by 104.
97
{"question": "Let a be (-4 + 5)*-2 - (3 + -50). Let w = a + -44. Which is smaller: 6/13 or w?", "answer": "6/13"}
Let a be (-4 + 5)*-2 - (3 + -50). Let w = a + -44. Which is smaller: 6/13 or w?
6/13
{"question": "-19 - (1 - 10 - 0)", "answer": "-10"}
-19 - (1 - 10 - 0)
-10
{"question": "Let 3*x**4/5 + 29307*x**3/5 - 5865*x**2 - 146559*x/5 - 17586 = 0. What is x?", "answer": "-9770, -1, 3"}
Let 3*x**4/5 + 29307*x**3/5 - 5865*x**2 - 146559*x/5 - 17586 = 0. What is x?
-9770, -1, 3
{"question": "Add -8327002642.2 and -0.5.", "answer": "-8327002642.7"}
Add -8327002642.2 and -0.5.
-8327002642.7
{"question": "Let g(j) = j**2 + 3*j - 110. Let a be g(0). Let i be 4/7*(-35)/a. What is the nearest to 1 in 3, i, 0?", "answer": "i"}
Let g(j) = j**2 + 3*j - 110. Let a be g(0). Let i be 4/7*(-35)/a. What is the nearest to 1 in 3, i, 0?
i
{"question": "Suppose 4*c + 6 = -3*l, l = 2*l - 5*c + 21. Let z = l + 8. Suppose 3*y + z*y = -240000. Round y to the nearest ten thousand.", "answer": "-50000"}
Suppose 4*c + 6 = -3*l, l = 2*l - 5*c + 21. Let z = l + 8. Suppose 3*y + z*y = -240000. Round y to the nearest ten thousand.
-50000