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 -8*g**4 - 3698*g**3 - 427812*g**2 - 106722*g = 0. What is g?", "answer": "-231, -1/4, 0"}
Let -8*g**4 - 3698*g**3 - 427812*g**2 - 106722*g = 0. What is g?
-231, -1/4, 0
{"question": "What is -290453953 rounded to the nearest 1000000?", "answer": "-290000000"}
What is -290453953 rounded to the nearest 1000000?
-290000000
{"question": "What is the closest to 0 in -14.2, -11, -2?", "answer": "-2"}
What is the closest to 0 in -14.2, -11, -2?
-2
{"question": "Solve 4001*d - 4000*d + 20 = 0 for d.", "answer": "-20"}
Solve 4001*d - 4000*d + 20 = 0 for d.
-20
{"question": "Suppose 0 = -4*b, 5*c + 2*b = 62 - 2. Let z be (-6)/24*40/(-2). Suppose z*i - 35 = 205. What is the greatest common factor of c and i?", "answer": "12"}
Suppose 0 = -4*b, 5*c + 2*b = 62 - 2. Let z be (-6)/24*40/(-2). Suppose z*i - 35 = 205. What is the greatest common factor of c and i?
12
{"question": "Is -332 smaller than -300?", "answer": "True"}
Is -332 smaller than -300?
True
{"question": "Suppose -2*v + 4319 = -s, 2163 = v - 2*s - 2*s. Is v a composite number?", "answer": "True"}
Suppose -2*v + 4319 = -s, 2163 = v - 2*s - 2*s. Is v a composite number?
True
{"question": "Let b(y) = y**3 + y**2 + 4. Let h be b(0). Suppose h*v + q + 4 - 6 = 0, -5*v - q + 3 = 0. Suppose v = 5*i - 4. What is the units digit of i?", "answer": "1"}
Let b(y) = y**3 + y**2 + 4. Let h be b(0). Suppose h*v + q + 4 - 6 = 0, -5*v - q + 3 = 0. Suppose v = 5*i - 4. What is the units digit of i?
1
{"question": "What are the prime factors of 92402?", "answer": "2, 47, 983"}
What are the prime factors of 92402?
2, 47, 983
{"question": "In base 14, what is 48 + 52?", "answer": "9a"}
In base 14, what is 48 + 52?
9a
{"question": "Round 0.0002337176 to seven decimal places.", "answer": "0.0002337"}
Round 0.0002337176 to seven decimal places.
0.0002337
{"question": "Is 0 < 100/9963?", "answer": "True"}
Is 0 < 100/9963?
True
{"question": "What is the second derivative of -336811374*l*v**2 - 261542911*l*v wrt v?", "answer": "-673622748*l"}
What is the second derivative of -336811374*l*v**2 - 261542911*l*v wrt v?
-673622748*l
{"question": "Suppose 0 = -5*r - 20085 - 69300. Let h = r + 11677. Round h to the nearest 1000.", "answer": "-6000"}
Suppose 0 = -5*r - 20085 - 69300. Let h = r + 11677. Round h to the nearest 1000.
-6000
{"question": "What is (-7)/(-10)*(-1)/(-7)?", "answer": "1/10"}
What is (-7)/(-10)*(-1)/(-7)?
1/10
{"question": "Simplify -2*(-6*(-2*sqrt(150)*6 - sqrt(150)))/(sqrt(48)/sqrt(4)*1).", "answer": "-390*sqrt(2)"}
Simplify -2*(-6*(-2*sqrt(150)*6 - sqrt(150)))/(sqrt(48)/sqrt(4)*1).
-390*sqrt(2)
{"question": "Let r = 165 + 164. What is the greatest common factor of r and 47?", "answer": "47"}
Let r = 165 + 164. What is the greatest common factor of r and 47?
47
{"question": "Calculate -9 + 9994463786.", "answer": "9994463777"}
Calculate -9 + 9994463786.
9994463777
{"question": "Let w = -10 + 11. Suppose -2*c + 1 = -y, -5 = -3*c + w. Solve 0*j - 12 = -y*j for j.", "answer": "4"}
Let w = -10 + 11. Suppose -2*c + 1 = -y, -5 = -3*c + w. Solve 0*j - 12 = -y*j for j.
4
{"question": "Calculate -0.24287*-6.", "answer": "1.45722"}
Calculate -0.24287*-6.
1.45722
{"question": "Rearrange (5*i + 17*i - 2*i)*(3 - 3 - 2)*(8 - 23 - 5) to the form j + w*i and give w.", "answer": "800"}
Rearrange (5*i + 17*i - 2*i)*(3 - 3 - 2)*(8 - 23 - 5) to the form j + w*i and give w.
800
{"question": "Collect the terms in 2*d**3 - d - 2*d**3 - 5*d + 3*d**3.", "answer": "3*d**3 - 6*d"}
Collect the terms in 2*d**3 - d - 2*d**3 - 5*d + 3*d**3.
3*d**3 - 6*d
{"question": "Let q(n) be the first derivative of n**2/2 + n + 2. Let d be q(-6). Let v(h) = h**2 - 2*h + 5. Let w be v(2). Sort d, 3, w in descending order.", "answer": "w, 3, d"}
Let q(n) be the first derivative of n**2/2 + n + 2. Let d be q(-6). Let v(h) = h**2 - 2*h + 5. Let w be v(2). Sort d, 3, w in descending order.
w, 3, d
{"question": "Suppose -j = -0*j - 4. Suppose -16 + 1 = -5*y. Suppose -4*s = 3*f - 71, -3*s + y*f = 2*f - 63. What is the highest common factor of j and s?", "answer": "4"}
Suppose -j = -0*j - 4. Suppose -16 + 1 = -5*y. Suppose -4*s = 3*f - 71, -3*s + y*f = 2*f - 63. What is the highest common factor of j and s?
4
{"question": "What is the common denominator of 103/78 and 16/6381?", "answer": "165906"}
What is the common denominator of 103/78 and 16/6381?
165906
{"question": "Is 679 prime?", "answer": "False"}
Is 679 prime?
False
{"question": "Let f = -386063/395880 - -2/9897. Let z = f - -11/8. Which is the nearest to 1? (a) z (b) 3 (c) 4/9", "answer": "c"}
Let f = -386063/395880 - -2/9897. Let z = f - -11/8. Which is the nearest to 1? (a) z (b) 3 (c) 4/9
c
{"question": "Suppose 36 = 4*h - 4*a, 2*h - 4*a = h + 12. Solve 3*m - 1 = 2*j, 0 = m + 2*m + 5*j - h for m.", "answer": "1"}
Suppose 36 = 4*h - 4*a, 2*h - 4*a = h + 12. Solve 3*m - 1 = 2*j, 0 = m + 2*m + 5*j - h for m.
1
{"question": "Let s(c) be the second derivative of -c**4/12 - 3*c**3/2 + 13*c**2/2 + 11*c. What is the tens digit of s(-9)?", "answer": "1"}
Let s(c) be the second derivative of -c**4/12 - 3*c**3/2 + 13*c**2/2 + 11*c. What is the tens digit of s(-9)?
1
{"question": "Is 10 a factor of 2511?", "answer": "False"}
Is 10 a factor of 2511?
False
{"question": "Let t be -2*(20 - 17 - 81/18). Let i be 1/((-2)/4 + 1). Solve -4*x = -t*o + 17 - 52, i*o - 4*x + 30 = 0 for o.", "answer": "-5"}
Let t be -2*(20 - 17 - 81/18). Let i be 1/((-2)/4 + 1). Solve -4*x = -t*o + 17 - 52, i*o - 4*x + 30 = 0 for o.
-5
{"question": "Is 3/(-27) - (-12369)/27 a composite number?", "answer": "True"}
Is 3/(-27) - (-12369)/27 a composite number?
True
{"question": "Expand 3*y - 2*y + y + (0*y - 3*y + y)*(1 - 7 + 4) - 6*y + y + 22*y - 2*y + 2 - 2 + 5*y - 5*y + 2*y + (3 + 0 - 2)*(1 - y - 1) + 0*y + 3*y - y.", "answer": "24*y"}
Expand 3*y - 2*y + y + (0*y - 3*y + y)*(1 - 7 + 4) - 6*y + y + 22*y - 2*y + 2 - 2 + 5*y - 5*y + 2*y + (3 + 0 - 2)*(1 - y - 1) + 0*y + 3*y - y.
24*y
{"question": "Let b(z) = -8*z - 1. Suppose 4*y - 4 = -0. Let s(d) = d + 1. Suppose 17*w + 27*w + 6*w - 28 = 22*w. Determine w*b(i) + y*s(i).", "answer": "-7*i"}
Let b(z) = -8*z - 1. Suppose 4*y - 4 = -0. Let s(d) = d + 1. Suppose 17*w + 27*w + 6*w - 28 = 22*w. Determine w*b(i) + y*s(i).
-7*i
{"question": "In base 15, what is 13d - -aec7?", "answer": "b115"}
In base 15, what is 13d - -aec7?
b115
{"question": "Let j = -5 - -15. Let f = 10.2 - j. Let d = f - 0.200009. Round d to five dps.", "answer": "-0.00001"}
Let j = -5 - -15. Let f = 10.2 - j. Let d = f - 0.200009. Round d to five dps.
-0.00001
{"question": "Let i(f) = f. Let l(v) = -528 - 22*v + 528. What is i(l(b))?", "answer": "-22*b"}
Let i(f) = f. Let l(v) = -528 - 22*v + 528. What is i(l(b))?
-22*b
{"question": "Is 10 a factor of 20/9 - 156883650/(-12690)?", "answer": "False"}
Is 10 a factor of 20/9 - 156883650/(-12690)?
False
{"question": "Is 5077 prime?", "answer": "True"}
Is 5077 prime?
True
{"question": "Calculate -4 divided by -11.", "answer": "4/11"}
Calculate -4 divided by -11.
4/11
{"question": "Let r = 214 + -86. Calculate the greatest common divisor of r and 192.", "answer": "64"}
Let r = 214 + -86. Calculate the greatest common divisor of r and 192.
64
{"question": "What are the prime factors of 593296544?", "answer": "2, 149, 124433"}
What are the prime factors of 593296544?
2, 149, 124433
{"question": "Let h = -545 + 849. Does 38 divide h?", "answer": "True"}
Let h = -545 + 849. Does 38 divide h?
True
{"question": "What is the f'th term of 128, 127, 124, 119, 112, 103?", "answer": "-f**2 + 2*f + 127"}
What is the f'th term of 128, 127, 124, 119, 112, 103?
-f**2 + 2*f + 127
{"question": "Let x be 4*1/(1/7). Suppose -v = 3*i - 6*i - 12, -5*i - 6 = 3*v. Suppose 5*o - v*f + 5 - 73 = 0, o = -3*f + x. What is the tens digit of o?", "answer": "1"}
Let x be 4*1/(1/7). Suppose -v = 3*i - 6*i - 12, -5*i - 6 = 3*v. Suppose 5*o - v*f + 5 - 73 = 0, o = -3*f + x. What is the tens digit of o?
1
{"question": "-2 divided by 2", "answer": "-1"}
-2 divided by 2
-1
{"question": "Let y be 36 + (1 - (-1 + -2)). Suppose -2*w + y = 2*w. Suppose 0 = -5*s + 4*u + 6, 2*u = -2*s - u + 7. Solve 2*c - s = -w for c.", "answer": "-4"}
Let y be 36 + (1 - (-1 + -2)). Suppose -2*w + y = 2*w. Suppose 0 = -5*s + 4*u + 6, 2*u = -2*s - u + 7. Solve 2*c - s = -w for c.
-4
{"question": "Calculate the smallest common multiple of 5 and 43.", "answer": "215"}
Calculate the smallest common multiple of 5 and 43.
215
{"question": "Let -5/2*g**3 - 1300 + 1290*g - 315*g**2 = 0. What is g?", "answer": "-130, 2"}
Let -5/2*g**3 - 1300 + 1290*g - 315*g**2 = 0. What is g?
-130, 2
{"question": "Find the third derivative of 3*j**4 - 2*j**3*n - 2*j**2 - 71*j*n wrt j.", "answer": "72*j - 12*n"}
Find the third derivative of 3*j**4 - 2*j**3*n - 2*j**2 - 71*j*n wrt j.
72*j - 12*n
{"question": "-4 - (3 + -6 - 8)", "answer": "7"}
-4 - (3 + -6 - 8)
7
{"question": "Let h = 637/2 + -325. Let a = -14 + 7. Is h at most a?", "answer": "False"}
Let h = 637/2 + -325. Let a = -14 + 7. Is h at most a?
False
{"question": "Let f = -0.7 + -0.3. Suppose 3*i + 3*o + 13 = 2*i, 117 = -4*i + o. Let d = 22 + i. Which is the smallest value? (a) d (b) 1 (c) f", "answer": "a"}
Let f = -0.7 + -0.3. Suppose 3*i + 3*o + 13 = 2*i, 117 = -4*i + o. Let d = 22 + i. Which is the smallest value? (a) d (b) 1 (c) f
a
{"question": "Let t(z) = -z**2 - 9*z + 10. Let c be t(-8). Let u be c/(-12)*(-2)/3. What is the tens digit of u*(-8)/(-12)*57?", "answer": "3"}
Let t(z) = -z**2 - 9*z + 10. Let c be t(-8). Let u be c/(-12)*(-2)/3. What is the tens digit of u*(-8)/(-12)*57?
3
{"question": "Let p(m) = m**3 - 24*m**2 - 24*m - 20. Let t be p(25). Let w(g) be the second derivative of -1/10*g**t + 0 - 1/3*g**3 + 0*g**2 + 1/6*g**4 - 5*g. Determine w(2).", "answer": "-12"}
Let p(m) = m**3 - 24*m**2 - 24*m - 20. Let t be p(25). Let w(g) be the second derivative of -1/10*g**t + 0 - 1/3*g**3 + 0*g**2 + 1/6*g**4 - 5*g. Determine w(2).
-12
{"question": "Let p = -1 + -5. Let s be 12 - (-4 - -1 - -1). What are the prime factors of 24/s*(-63)/p?", "answer": "2, 3"}
Let p = -1 + -5. Let s be 12 - (-4 - -1 - -1). What are the prime factors of 24/s*(-63)/p?
2, 3
{"question": "Is 2615027 a composite number?", "answer": "True"}
Is 2615027 a composite number?
True
{"question": "Solve -b - 4*b + 3 = 3*u, -5 = -u - 3*b for u.", "answer": "-4"}
Solve -b - 4*b + 3 = 3*u, -5 = -u - 3*b for u.
-4
{"question": "Suppose 3*o = -o. Suppose o = -3*a + 11*a - 96. What is the greatest common factor of 12 and a?", "answer": "12"}
Suppose 3*o = -o. Suppose o = -3*a + 11*a - 96. What is the greatest common factor of 12 and a?
12
{"question": "Let j(z) = -7*z. Let k(f) be the third derivative of f**5/60 - f**2. Give k(j(s)).", "answer": "49*s**2"}
Let j(z) = -7*z. Let k(f) be the third derivative of f**5/60 - f**2. Give k(j(s)).
49*s**2
{"question": "Suppose -85*g = -63*g - 504988. What are the prime factors of g?", "answer": "2, 23, 499"}
Suppose -85*g = -63*g - 504988. What are the prime factors of g?
2, 23, 499
{"question": "Simplify ((j*j**7*j)/(j/(j*j/j**(-8))))/((j*j*((j*j**(3/11)/j)/j)/j)/(j*j*j**(-1/8)*j)) assuming j is positive.", "answer": "j**(1813/88)"}
Simplify ((j*j**7*j)/(j/(j*j/j**(-8))))/((j*j*((j*j**(3/11)/j)/j)/j)/(j*j*j**(-1/8)*j)) assuming j is positive.
j**(1813/88)
{"question": "Let g = 989 + 270. Suppose 0*k - h + g = 4*k, -4*k = -4*h - 1264. List the prime factors of k.", "answer": "3, 5, 7"}
Let g = 989 + 270. Suppose 0*k - h + g = 4*k, -4*k = -4*h - 1264. List the prime factors of k.
3, 5, 7
{"question": "Expand -1259 + 241*u + 625 + 630 + (-1 - 2 + 2)*(u - 6*u + 4*u).", "answer": "242*u - 4"}
Expand -1259 + 241*u + 625 + 630 + (-1 - 2 + 2)*(u - 6*u + 4*u).
242*u - 4
{"question": "Let b(t) = 4 - 4 + 2*t. Let x(r) = -72 + 72 + r. What is b(x(p))?", "answer": "2*p"}
Let b(t) = 4 - 4 + 2*t. Let x(r) = -72 + 72 + r. What is b(x(p))?
2*p
{"question": "What is one quarter of a century in years?", "answer": "25"}
What is one quarter of a century in years?
25
{"question": "Let w be -2 + 1 - (-2 + -3). What are the prime factors of (3/4*-2)/(w/(-304))?", "answer": "2, 3, 19"}
Let w be -2 + 1 - (-2 + -3). What are the prime factors of (3/4*-2)/(w/(-304))?
2, 3, 19
{"question": "Let x(m) = -9*m. Let b(y) = 190*y - 377*y + 190*y. What is x(b(l))?", "answer": "-27*l"}
Let x(m) = -9*m. Let b(y) = 190*y - 377*y + 190*y. What is x(b(l))?
-27*l
{"question": "Is 1 at most -166/1753?", "answer": "False"}
Is 1 at most -166/1753?
False
{"question": "Let l be (21/(-14) - -1)/(3/(-2)). What is the third biggest value in l, 0, 0.23?", "answer": "0"}
Let l be (21/(-14) - -1)/(3/(-2)). What is the third biggest value in l, 0, 0.23?
0
{"question": "Solve -1129*t = -1108*t - 42 for t.", "answer": "2"}
Solve -1129*t = -1108*t - 42 for t.
2
{"question": "Suppose 4*j + 17444 = -4*z, -j + z = -0*j + 4361. Let t = j - -9118. Is t prime?", "answer": "False"}
Suppose 4*j + 17444 = -4*z, -j + z = -0*j + 4361. Let t = j - -9118. Is t prime?
False
{"question": "Divide -16532 by -16532.", "answer": "1"}
Divide -16532 by -16532.
1
{"question": "In base 6, what is -1044 - -100?", "answer": "-544"}
In base 6, what is -1044 - -100?
-544
{"question": "Let h(j) = 2*j**2 - 4 - 2*j**2 - j**3 + 3*j**2. Let d be h(3). Let q(g) = 3*g + 3. Calculate q(d).", "answer": "-9"}
Let h(j) = 2*j**2 - 4 - 2*j**2 - j**3 + 3*j**2. Let d be h(3). Let q(g) = 3*g + 3. Calculate q(d).
-9
{"question": "What is the j'th term of -8979552, -17959104, -26938658, -35918214, -44897772?", "answer": "-j**2 - 8979549*j - 2"}
What is the j'th term of -8979552, -17959104, -26938658, -35918214, -44897772?
-j**2 - 8979549*j - 2
{"question": "What is -2504.21632 plus -4?", "answer": "-2508.21632"}
What is -2504.21632 plus -4?
-2508.21632
{"question": "-24338.2761+82", "answer": "-24256.2761"}
-24338.2761+82
-24256.2761
{"question": "What is the d'th term of 3, 4, 13, 36, 79, 148?", "answer": "d**3 - 2*d**2 + 4"}
What is the d'th term of 3, 4, 13, 36, 79, 148?
d**3 - 2*d**2 + 4
{"question": "Suppose -3*t = 5*k - 409, 3*k + 7*t - 237 = 8*t. Put -5, k, -2 in increasing order.", "answer": "-5, -2, k"}
Suppose -3*t = 5*k - 409, 3*k + 7*t - 237 = 8*t. Put -5, k, -2 in increasing order.
-5, -2, k
{"question": "Suppose -30 + 2 = -4*t. Suppose -r + 3*z + 21 = 0, -3*r = -t*r + 4*z + 44. Solve 3*x + 0 + r = 0 for x.", "answer": "-2"}
Suppose -30 + 2 = -4*t. Suppose -r + 3*z + 21 = 0, -3*r = -t*r + 4*z + 44. Solve 3*x + 0 + r = 0 for x.
-2
{"question": "Calculate the remainder when 14343 is divided by 1102.", "answer": "17"}
Calculate the remainder when 14343 is divided by 1102.
17
{"question": "Calculate -482*223063.", "answer": "-107516366"}
Calculate -482*223063.
-107516366
{"question": "Solve 0 = 5*f - z - 40 + 43, 4*z + 6 = 2*f for f.", "answer": "-1"}
Solve 0 = 5*f - z - 40 + 43, 4*z + 6 = 2*f for f.
-1
{"question": "Two letters picked without replacement from rcgyyyucgyycyg. Give prob of picking 1 c and 1 r.", "answer": "3/91"}
Two letters picked without replacement from rcgyyyucgyycyg. Give prob of picking 1 c and 1 r.
3/91
{"question": "Find i, given that -4*i**3 + 1628*i**2 - 8056*i + 6432 = 0.", "answer": "1, 4, 402"}
Find i, given that -4*i**3 + 1628*i**2 - 8056*i + 6432 = 0.
1, 4, 402
{"question": "Let q(o) be the third derivative of 4*o**7/105 + 7*o**6/40 - o**5/60 - 4*o**3/3 - 2*o**2 + 106*o. Find the third derivative of q(u) wrt u.", "answer": "192*u + 126"}
Let q(o) be the third derivative of 4*o**7/105 + 7*o**6/40 - o**5/60 - 4*o**3/3 - 2*o**2 + 106*o. Find the third derivative of q(u) wrt u.
192*u + 126
{"question": "Let l = 868 - 857. What is the least common multiple of l and 607?", "answer": "6677"}
Let l = 868 - 857. What is the least common multiple of l and 607?
6677
{"question": "What is the second derivative of -2*l**2*m*y**2 + 4*l**2*m + 2979439*l**2*y**2 - l*y + l - 9990*m*y wrt y?", "answer": "-4*l**2*m + 5958878*l**2"}
What is the second derivative of -2*l**2*m*y**2 + 4*l**2*m + 2979439*l**2*y**2 - l*y + l - 9990*m*y wrt y?
-4*l**2*m + 5958878*l**2
{"question": "Let d = 6157 - 6152.951. Let k = -0.049 + d. Which is the closest to -0.1? (a) k (b) 4/5 (c) 0.1", "answer": "c"}
Let d = 6157 - 6152.951. Let k = -0.049 + d. Which is the closest to -0.1? (a) k (b) 4/5 (c) 0.1
c
{"question": "Is 56552927 a multiple of 206?", "answer": "False"}
Is 56552927 a multiple of 206?
False
{"question": "What is the biggest value in 8, 80, -10, 6, 1?", "answer": "80"}
What is the biggest value in 8, 80, -10, 6, 1?
80
{"question": "Solve -2583*t = -3058*t - 20900 for t.", "answer": "-44"}
Solve -2583*t = -3058*t - 20900 for t.
-44
{"question": "Let j be 17/((-5)/10*-2). Let c(f) = -f + 18. Let y be c(j). Is -1 less than y?", "answer": "True"}
Let j be 17/((-5)/10*-2). Let c(f) = -f + 18. Let y be c(j). Is -1 less than y?
True
{"question": "What is the eighth root of 687 to the nearest integer?", "answer": "2"}
What is the eighth root of 687 to the nearest integer?
2
{"question": "Does 95 divide 540?", "answer": "False"}
Does 95 divide 540?
False
{"question": "Let u(r) = -84*r - 6. Let y be u(-3). Let d = y + -97. Is d a composite number?", "answer": "False"}
Let u(r) = -84*r - 6. Let y be u(-3). Let d = y + -97. Is d a composite number?
False
{"question": "Let k = -36 + 36. Solve k = -3*i - 0*i for i.", "answer": "0"}
Let k = -36 + 36. Solve k = -3*i - 0*i for i.
0
{"question": "How many years are there in seven quarters of a century?", "answer": "175"}
How many years are there in seven quarters of a century?
175
{"question": "Calculate the remainder when 360125 is divided by 231.", "answer": "227"}
Calculate the remainder when 360125 is divided by 231.
227