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": "Evaluate (133164/(-959))/81*77/2.", "answer": "-66"}
Evaluate (133164/(-959))/81*77/2.
-66
{"question": "Suppose 27*c - 29*c + 34 + 14 = 0. Solve 65*y - 61*y = c for y.", "answer": "6"}
Suppose 27*c - 29*c + 34 + 14 = 0. Solve 65*y - 61*y = c for y.
6
{"question": "What is 152162 to the power of 1/3, to the nearest integer?", "answer": "53"}
What is 152162 to the power of 1/3, to the nearest integer?
53
{"question": "Calculate 49/(-14)*1/(-14)*(-660)/15.", "answer": "-11"}
Calculate 49/(-14)*1/(-14)*(-660)/15.
-11
{"question": "Suppose 2*s - 67 = 17. What are the prime factors of s?", "answer": "2, 3, 7"}
Suppose 2*s - 67 = 17. What are the prime factors of s?
2, 3, 7
{"question": "(-4)/(-12)*4*((-42085)/2658)/(20/(-18))", "answer": "19"}
(-4)/(-12)*4*((-42085)/2658)/(20/(-18))
19
{"question": "Is 11765376 a multiple of 8?", "answer": "True"}
Is 11765376 a multiple of 8?
True
{"question": "Suppose -o = 2*o - 2*q - 7, 0 = 4*o + 2*q - 28. Is o bigger than 5?", "answer": "False"}
Suppose -o = 2*o - 2*q - 7, 0 = 4*o + 2*q - 28. Is o bigger than 5?
False
{"question": "Expand (v - v - v**2)*(-2 + 3 - 4)*(30*v + 8*v - 14*v).", "answer": "72*v**3"}
Expand (v - v - v**2)*(-2 + 3 - 4)*(30*v + 8*v - 14*v).
72*v**3
{"question": "What is the derivative of 30*t*v*y**3 - 3*t*v - 3*t*y**3 - 36*v*y**2 + v*y + 4304*y**3 wrt v?", "answer": "30*t*y**3 - 3*t - 36*y**2 + y"}
What is the derivative of 30*t*v*y**3 - 3*t*v - 3*t*y**3 - 36*v*y**2 + v*y + 4304*y**3 wrt v?
30*t*y**3 - 3*t - 36*y**2 + y
{"question": "Let t(g) = 6*g**2 + 158*g + 813. Calculate t(-7).", "answer": "1"}
Let t(g) = 6*g**2 + 158*g + 813. Calculate t(-7).
1
{"question": "Simplify (sqrt(84)*1)/sqrt(12) + (sqrt(7) - sqrt(112)) - (sqrt(343) + -2)**2*-6.", "answer": "-170*sqrt(7) + 2082"}
Simplify (sqrt(84)*1)/sqrt(12) + (sqrt(7) - sqrt(112)) - (sqrt(343) + -2)**2*-6.
-170*sqrt(7) + 2082
{"question": "Let u(l) = 23*l + 17*l**3 + 5*l**2 - 20*l**3 - 8*l - 25. Let q be u(8). Round q to the nearest one hundred.", "answer": "-1100"}
Let u(l) = 23*l + 17*l**3 + 5*l**2 - 20*l**3 - 8*l - 25. Let q be u(8). Round q to the nearest one hundred.
-1100
{"question": "Let k(w) be the first derivative of -3*w**2/2 + w - 14. Determine k(-2).", "answer": "7"}
Let k(w) be the first derivative of -3*w**2/2 + w - 14. Determine k(-2).
7
{"question": "Rearrange 25 - 8*g**2 - 25 to c*g**2 + u + m*g and give m.", "answer": "0"}
Rearrange 25 - 8*g**2 - 25 to c*g**2 + u + m*g and give m.
0
{"question": "What is prob of sequence upuu when four letters picked without replacement from {p: 9, u: 3}?", "answer": "1/220"}
What is prob of sequence upuu when four letters picked without replacement from {p: 9, u: 3}?
1/220
{"question": "What is the common denominator of 125/21996 and -101/1326?", "answer": "373932"}
What is the common denominator of 125/21996 and -101/1326?
373932
{"question": "Rearrange -351*w**3 - 500*w - 348*w**3 - 1 + 1043*w**3 - w**2 + 3 - 346*w**3 to v + y*w + u*w**2 + g*w**3 and give u.", "answer": "-1"}
Rearrange -351*w**3 - 500*w - 348*w**3 - 1 + 1043*w**3 - w**2 + 3 - 346*w**3 to v + y*w + u*w**2 + g*w**3 and give u.
-1
{"question": "Let m be (-30)/(-18) + (-1)/(-3). Suppose m = 5*x - 18. Let w(k) = k - 4. Let n be w(x). Solve -3*y - 4*b - 10 = 0, 2*b = -n*y + 4*y + 6 for y.", "answer": "-2"}
Let m be (-30)/(-18) + (-1)/(-3). Suppose m = 5*x - 18. Let w(k) = k - 4. Let n be w(x). Solve -3*y - 4*b - 10 = 0, 2*b = -n*y + 4*y + 6 for y.
-2
{"question": "Let o(q) be the second derivative of 0 + 4*q + 2*q**2 - 1/2*q**3. Let u(s) = -4*s + 5. Give -6*o(f) + 5*u(f).", "answer": "-2*f + 1"}
Let o(q) be the second derivative of 0 + 4*q + 2*q**2 - 1/2*q**3. Let u(s) = -4*s + 5. Give -6*o(f) + 5*u(f).
-2*f + 1
{"question": "Four letters picked without replacement from wwxybwwby. What is prob of sequence yywx?", "answer": "1/378"}
Four letters picked without replacement from wwxybwwby. What is prob of sequence yywx?
1/378
{"question": "Four letters picked without replacement from {e: 3, d: 1, r: 2, w: 1, x: 3, g: 2}. What is prob of picking 1 d, 1 w, 1 g, and 1 r?", "answer": "4/495"}
Four letters picked without replacement from {e: 3, d: 1, r: 2, w: 1, x: 3, g: 2}. What is prob of picking 1 d, 1 w, 1 g, and 1 r?
4/495
{"question": "What is the value of (-5 - (-8 - -4)) + 4?", "answer": "3"}
What is the value of (-5 - (-8 - -4)) + 4?
3
{"question": "What is 0.6811942 rounded to 3 decimal places?", "answer": "0.681"}
What is 0.6811942 rounded to 3 decimal places?
0.681
{"question": "Simplify (-5*((-3 + (sqrt(475) - (sqrt(475)*2 + -5)) + (-4*-1*sqrt(475) - -4*(sqrt(475) + sqrt(475) + sqrt(475) + 0)))*6 + -5))**2.", "answer": "157500*sqrt(19) + 96188725"}
Simplify (-5*((-3 + (sqrt(475) - (sqrt(475)*2 + -5)) + (-4*-1*sqrt(475) - -4*(sqrt(475) + sqrt(475) + sqrt(475) + 0)))*6 + -5))**2.
157500*sqrt(19) + 96188725
{"question": "Suppose -w - 3 = -4*p + 7, 2*w = -2*p + 30. Let o = 3 - -7. Calculate the smallest common multiple of w and o/(-25)*(-7 + -3).", "answer": "20"}
Suppose -w - 3 = -4*p + 7, 2*w = -2*p + 30. Let o = 3 - -7. Calculate the smallest common multiple of w and o/(-25)*(-7 + -3).
20
{"question": "Which is smaller: 4/23 or 0.16?", "answer": "0.16"}
Which is smaller: 4/23 or 0.16?
0.16
{"question": "Which is the nearest to 0.1? (a) 1.3 (b) 0.4 (c) 5 (d) -0.5", "answer": "b"}
Which is the nearest to 0.1? (a) 1.3 (b) 0.4 (c) 5 (d) -0.5
b
{"question": "Rearrange -38*w**2 + w**4 - 1 + 3*w - 2*w**3 + 36*w**2 + 2*w**3 to the form h*w + n*w**4 + f*w**3 + t*w**2 + d and give t.", "answer": "-2"}
Rearrange -38*w**2 + w**4 - 1 + 3*w - 2*w**3 + 36*w**2 + 2*w**3 to the form h*w + n*w**4 + f*w**3 + t*w**2 + d and give t.
-2
{"question": "Work out 63.49 + -0.35.", "answer": "63.14"}
Work out 63.49 + -0.35.
63.14
{"question": "Which is greater: -14227 or -14230?", "answer": "-14227"}
Which is greater: -14227 or -14230?
-14227
{"question": "What is the s'th term of -6794987, -13589975, -20384953, -27179915, -33974855, -40769767, -47564645, -54359483?", "answer": "s**3 - s**2 - 6794992*s + 5"}
What is the s'th term of -6794987, -13589975, -20384953, -27179915, -33974855, -40769767, -47564645, -54359483?
s**3 - s**2 - 6794992*s + 5
{"question": "How many minutes are there between 8:56 AM and 6:03 PM?", "answer": "547"}
How many minutes are there between 8:56 AM and 6:03 PM?
547
{"question": "Factor 2*u**3/7 - 1257630*u**2/7 - 18864900*u/7.", "answer": "2*u*(u - 628830)*(u + 15)/7"}
Factor 2*u**3/7 - 1257630*u**2/7 - 18864900*u/7.
2*u*(u - 628830)*(u + 15)/7
{"question": "Let m = 20 + -8.7. Let q = -11 + m. What is the second biggest value in 1/4, 0.2, q?", "answer": "1/4"}
Let m = 20 + -8.7. Let q = -11 + m. What is the second biggest value in 1/4, 0.2, q?
1/4
{"question": "Let m(f) = -109*f - 866. Let t(c) = 5*c**3 - 3*c - 8. Let o be t(0). Determine m(o).", "answer": "6"}
Let m(f) = -109*f - 866. Let t(c) = 5*c**3 - 3*c - 8. Let o be t(0). Determine m(o).
6
{"question": "What is -23 take away -4.32565?", "answer": "-18.67435"}
What is -23 take away -4.32565?
-18.67435
{"question": "What is thirteen quarters of a kilometer in meters?", "answer": "3250"}
What is thirteen quarters of a kilometer in meters?
3250
{"question": "What is the hundred thousands digit of 704552594?", "answer": "5"}
What is the hundred thousands digit of 704552594?
5
{"question": "Work out -377 * 0.09.", "answer": "-33.93"}
Work out -377 * 0.09.
-33.93
{"question": "What is the tens digit of 525?", "answer": "2"}
What is the tens digit of 525?
2
{"question": "What is the third biggest value in 3, -4, 3/5, -5?", "answer": "-4"}
What is the third biggest value in 3, -4, 3/5, -5?
-4
{"question": "Let b(m) = 4*m. Let r(p) = -2*p**2 + 13*p + 13. Let s be r(7). Determine b(s).", "answer": "24"}
Let b(m) = 4*m. Let r(p) = -2*p**2 + 13*p + 13. Let s be r(7). Determine b(s).
24
{"question": "In base 7, what is 36 + 16335?", "answer": "16404"}
In base 7, what is 36 + 16335?
16404
{"question": "Simplify (p**(-1/4))**(-27)/((p*p**(1/3)*p)/((p*p**(1/13)*p*p)/p)) assuming p is positive.", "answer": "p**(1013/156)"}
Simplify (p**(-1/4))**(-27)/((p*p**(1/3)*p)/((p*p**(1/13)*p*p)/p)) assuming p is positive.
p**(1013/156)
{"question": "Let b(d) = -3*d - 25. Let n(c) = 97*c**2 + 100. Determine b(n(p)).", "answer": "-291*p**2 - 325"}
Let b(d) = -3*d - 25. Let n(c) = 97*c**2 + 100. Determine b(n(p)).
-291*p**2 - 325
{"question": "Find the third derivative of -8431870*f**3*i - f**3 - 3*f**2 + 27590*f*i - 96*f wrt f.", "answer": "-50591220*i - 6"}
Find the third derivative of -8431870*f**3*i - f**3 - 3*f**2 + 27590*f*i - 96*f wrt f.
-50591220*i - 6
{"question": "What is the hundreds digit of 6896?", "answer": "8"}
What is the hundreds digit of 6896?
8
{"question": "How many minutes are there between 7:54 AM and 3:33 PM?", "answer": "459"}
How many minutes are there between 7:54 AM and 3:33 PM?
459
{"question": "Two letters picked without replacement from ieiwwioiiewkiiikke. What is prob of sequence ee?", "answer": "1/51"}
Two letters picked without replacement from ieiwwioiiewkiiikke. What is prob of sequence ee?
1/51
{"question": "Suppose 2*j = 4*y + 4, -6 = -3*j + 2*y + 16. Let u be (112/20)/(1/j). Suppose 2*m - 7*m + 68 = k, 5*m - u = 3*k. What is the remainder when 24 is divided by m?", "answer": "11"}
Suppose 2*j = 4*y + 4, -6 = -3*j + 2*y + 16. Let u be (112/20)/(1/j). Suppose 2*m - 7*m + 68 = k, 5*m - u = 3*k. What is the remainder when 24 is divided by m?
11
{"question": "Suppose 4*h - 18 = 14. What is the highest common factor of 24 and h?", "answer": "8"}
Suppose 4*h - 18 = 14. What is the highest common factor of 24 and h?
8
{"question": "Calculate the common denominator of -87/17302 and 163/1005894.", "answer": "212243634"}
Calculate the common denominator of -87/17302 and 163/1005894.
212243634
{"question": "Simplify (c*c/(c*c**(9/8))*c**(-8/9)/c*c*c**(-17)*(c/(c*c/(c**(2/73)*c)))/c)**(5/6) assuming c is positive.", "answer": "c**(-498965/31536)"}
Simplify (c*c/(c*c**(9/8))*c**(-8/9)/c*c*c**(-17)*(c/(c*c/(c**(2/73)*c)))/c)**(5/6) assuming c is positive.
c**(-498965/31536)
{"question": "Is 14167943 prime?", "answer": "True"}
Is 14167943 prime?
True
{"question": "Suppose -q + 4*f - 7 = 0, -6*f = 5*q - 3*f + 35. Sort 6, 3, 5, q.", "answer": "q, 3, 5, 6"}
Suppose -q + 4*f - 7 = 0, -6*f = 5*q - 3*f + 35. Sort 6, 3, 5, q.
q, 3, 5, 6
{"question": "Suppose -5*n + 791 = -4*n - 2*a, -4*a = 20. Is n a multiple of 15?", "answer": "False"}
Suppose -5*n + 791 = -4*n - 2*a, -4*a = 20. Is n a multiple of 15?
False
{"question": "Let r(y) = y**3 + 5*y**2 + 3*y - 3. Let a be r(-3). Is 2/a + (-2800)/(-6) a composite number?", "answer": "False"}
Let r(y) = y**3 + 5*y**2 + 3*y - 3. Let a be r(-3). Is 2/a + (-2800)/(-6) a composite number?
False
{"question": "What are the prime factors of 76837068?", "answer": "2, 3, 7, 11, 53, 523"}
What are the prime factors of 76837068?
2, 3, 7, 11, 53, 523
{"question": "What is the tens digit of 1397?", "answer": "9"}
What is the tens digit of 1397?
9
{"question": "How many minutes are there in four fifteenths of a hour?", "answer": "16"}
How many minutes are there in four fifteenths of a hour?
16
{"question": "Simplify (((c/(c/(c**1*c)))/c*c)/c*c**(-1/4))**14*((c**(-2)*c)**29)**23 assuming c is positive.", "answer": "c**(-1313/2)"}
Simplify (((c/(c/(c**1*c)))/c*c)/c*c**(-1/4))**14*((c**(-2)*c)**29)**23 assuming c is positive.
c**(-1313/2)
{"question": "Let u(d) = 112*d**2 - 125*d + 3. Let k(p) = -111*p**2 + 189*p - 4. Determine -2*k(h) - 3*u(h).", "answer": "-114*h**2 - 3*h - 1"}
Let u(d) = 112*d**2 - 125*d + 3. Let k(p) = -111*p**2 + 189*p - 4. Determine -2*k(h) - 3*u(h).
-114*h**2 - 3*h - 1
{"question": "Suppose -4*g + 2816 = 588. Is g composite?", "answer": "False"}
Suppose -4*g + 2816 = 588. Is g composite?
False
{"question": "Calculate the smallest common multiple of (10/3)/(6/18) and 30.", "answer": "30"}
Calculate the smallest common multiple of (10/3)/(6/18) and 30.
30
{"question": "Let o(z) = 42 + 36 + 42*z + 2. Let s(r) = 21*r + 40. Let q be -15 + -1 + 9 + 3. Let t(u) = q*o(u) + 7*s(u). Differentiate t(m) with respect to m.", "answer": "-21"}
Let o(z) = 42 + 36 + 42*z + 2. Let s(r) = 21*r + 40. Let q be -15 + -1 + 9 + 3. Let t(u) = q*o(u) + 7*s(u). Differentiate t(m) with respect to m.
-21
{"question": "Let w(z) = z**3 + 36*z**2 - 117*z + 25. Let d be w(-39). Solve d = 22*p - 41 for p.", "answer": "3"}
Let w(z) = z**3 + 36*z**2 - 117*z + 25. Let d be w(-39). Solve d = 22*p - 41 for p.
3
{"question": "((-17)/(-6) - -3) + 0 - (-26 - -31)", "answer": "5/6"}
((-17)/(-6) - -3) + 0 - (-26 - -31)
5/6
{"question": "What is the fourth root of 1035284 to the nearest integer?", "answer": "32"}
What is the fourth root of 1035284 to the nearest integer?
32
{"question": "What is the third derivative of -2194802*l**4 + 16*l**3 - l**2 + 5768*l + 1971?", "answer": "-52675248*l + 96"}
What is the third derivative of -2194802*l**4 + 16*l**3 - l**2 + 5768*l + 1971?
-52675248*l + 96
{"question": "Simplify (4*sqrt(252))/(sqrt(144)*-2) - -4*sqrt(63)/(sqrt(900)*1).", "answer": "-3*sqrt(7)/5"}
Simplify (4*sqrt(252))/(sqrt(144)*-2) - -4*sqrt(63)/(sqrt(900)*1).
-3*sqrt(7)/5
{"question": "Does 3515 divide 452398075?", "answer": "True"}
Does 3515 divide 452398075?
True
{"question": "Let k(u) = -u - 3. Let m be k(-8). Suppose 2 = m*c - 5*q - 18, -4*c + 8 = 4*q. Suppose -63 = -4*p - c. What is the remainder when 72 is divided by p?", "answer": "12"}
Let k(u) = -u - 3. Let m be k(-8). Suppose 2 = m*c - 5*q - 18, -4*c + 8 = 4*q. Suppose -63 = -4*p - c. What is the remainder when 72 is divided by p?
12
{"question": "1100122210 (base 3) to base 15", "answer": "7db9"}
1100122210 (base 3) to base 15
7db9
{"question": "Collect the terms in 216 - 216 - 588775*t**3 + 10*t.", "answer": "-588775*t**3 + 10*t"}
Collect the terms in 216 - 216 - 588775*t**3 + 10*t.
-588775*t**3 + 10*t
{"question": "Let w(k) = -64*k + 49. Let m(j) = 2. Let c(n) = 2*m(n) - w(n). Let o be c(15). Let z be 18/o*25/(-10). Is z at least as big as 0?", "answer": "False"}
Let w(k) = -64*k + 49. Let m(j) = 2. Let c(n) = 2*m(n) - w(n). Let o be c(15). Let z be 18/o*25/(-10). Is z at least as big as 0?
False
{"question": "Let w = 37 - 39. Let r(x) = x**3 + 1. Let c be r(0). Sort w, c, -1 in descending order.", "answer": "c, -1, w"}
Let w = 37 - 39. Let r(x) = x**3 + 1. Let c be r(0). Sort w, c, -1 in descending order.
c, -1, w
{"question": "Suppose 27*z - 61200 - 255402 = -259*z. Let w be (123 + 0)*(-11)/(-33). What is the highest common divisor of z and w?", "answer": "41"}
Suppose 27*z - 61200 - 255402 = -259*z. Let w be (123 + 0)*(-11)/(-33). What is the highest common divisor of z and w?
41
{"question": "Let a(v) = 5*v + 7. Let r be a(0). What is the highest common factor of r and 931?", "answer": "7"}
Let a(v) = 5*v + 7. Let r be a(0). What is the highest common factor of r and 931?
7
{"question": "Calculate 26 + -10 + -9 + 0 + -13.", "answer": "-6"}
Calculate 26 + -10 + -9 + 0 + -13.
-6
{"question": "Is 1.1 >= -1/2?", "answer": "True"}
Is 1.1 >= -1/2?
True
{"question": "Rearrange 193*a**2 - 2 + 3 - 69*a + 105*a - 188*a**2 - a**3 to y*a + c*a**3 + r*a**2 + g and give g.", "answer": "1"}
Rearrange 193*a**2 - 2 + 3 - 69*a + 105*a - 188*a**2 - a**3 to y*a + c*a**3 + r*a**2 + g and give g.
1
{"question": "Solve -7*j = -65 + 93 for j.", "answer": "-4"}
Solve -7*j = -65 + 93 for j.
-4
{"question": "What is the closest to -1/4 in 1/3, 4, 2/3?", "answer": "1/3"}
What is the closest to -1/4 in 1/3, 4, 2/3?
1/3
{"question": "What is the third biggest value in 0.06, -3966, -560/3?", "answer": "-3966"}
What is the third biggest value in 0.06, -3966, -560/3?
-3966
{"question": "What is 38821 (base 11) in base 7?", "answer": "320663"}
What is 38821 (base 11) in base 7?
320663
{"question": "Let l(s) = 8*s + 136. What is l(-18)?", "answer": "-8"}
Let l(s) = 8*s + 136. What is l(-18)?
-8
{"question": "Let t(g) = g**2. Let l(h) = 22 + 36 + 0*h**2 - 102 - 8*h**2 + 41. What is l(a) - 5*t(a)?", "answer": "-13*a**2 - 3"}
Let t(g) = g**2. Let l(h) = 22 + 36 + 0*h**2 - 102 - 8*h**2 + 41. What is l(a) - 5*t(a)?
-13*a**2 - 3
{"question": "What is 1.3565 rounded to 2 decimal places?", "answer": "1.36"}
What is 1.3565 rounded to 2 decimal places?
1.36
{"question": "What is the fifth smallest value in 0, -0.4, -2/9, -28, -32?", "answer": "0"}
What is the fifth smallest value in 0, -0.4, -2/9, -28, -32?
0
{"question": "Calculate the remainder when 1730087 is divided by 11.", "answer": "7"}
Calculate the remainder when 1730087 is divided by 11.
7
{"question": "What are the prime factors of 2945?", "answer": "5, 19, 31"}
What are the prime factors of 2945?
5, 19, 31
{"question": "Calculate the lowest common multiple of 24 and 2/(-3)*(-24)/16 + 20.", "answer": "168"}
Calculate the lowest common multiple of 24 and 2/(-3)*(-24)/16 + 20.
168
{"question": "Let g = -944 - -964. Solve -47*p = -52*p - g for p.", "answer": "-4"}
Let g = -944 - -964. Solve -47*p = -52*p - g for p.
-4
{"question": "Suppose c + 3*p = 7*p - 4, -4*c + 3*p = -10. Suppose -3*o - c*f = -35, 3*f + f = 2*o + 10. Suppose o*i = -5*n + 580, 2*n = 6*n - 3*i - 499. Is n composite?", "answer": "True"}
Suppose c + 3*p = 7*p - 4, -4*c + 3*p = -10. Suppose -3*o - c*f = -35, 3*f + f = 2*o + 10. Suppose o*i = -5*n + 580, 2*n = 6*n - 3*i - 499. Is n composite?
True
{"question": "What is the next term in 1120, 2184, 3220, 4228, 5208, 6160, 7084?", "answer": "7980"}
What is the next term in 1120, 2184, 3220, 4228, 5208, 6160, 7084?
7980
{"question": "How many days are there in 4495.7268 microseconds?", "answer": "0.000000052033875"}
How many days are there in 4495.7268 microseconds?
0.000000052033875
{"question": "What is -797251 rounded to the nearest ten thousand?", "answer": "-800000"}
What is -797251 rounded to the nearest ten thousand?
-800000
{"question": "How many weeks are there in 3702.97242 minutes?", "answer": "0.367358375"}
How many weeks are there in 3702.97242 minutes?
0.367358375
{"question": "Let t be 14/(-4)*(-12)/(-15). Let n = -0.0428 - -0.0428. Is n > t?", "answer": "True"}
Let t be 14/(-4)*(-12)/(-15). Let n = -0.0428 - -0.0428. Is n > t?
True