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": "Divide 14 by -9.", "answer": "-14/9"}
Divide 14 by -9.
-14/9
{"question": "How many micrograms are there in one fifth of a milligram?", "answer": "200"}
How many micrograms are there in one fifth of a milligram?
200
{"question": "Simplify ((x**(-1))**(-15))**(-12)*(x**4*(x/x**(-1/6)*x)/x)/(x*(x*x**4)/x*x**(1/5)) assuming x is positive.", "answer": "x**(-5401/30)"}
Simplify ((x**(-1))**(-15))**(-12)*(x**4*(x/x**(-1/6)*x)/x)/(x*(x*x**4)/x*x**(1/5)) assuming x is positive.
x**(-5401/30)
{"question": "What is the cube root of 1339 to the nearest integer?", "answer": "11"}
What is the cube root of 1339 to the nearest integer?
11
{"question": "Expand (-28*g**4 - 29*g**4 + 52*g**4 + 3*g)*(4*g - 4*g + g).", "answer": "-5*g**5 + 3*g**2"}
Expand (-28*g**4 - 29*g**4 + 52*g**4 + 3*g)*(4*g - 4*g + g).
-5*g**5 + 3*g**2
{"question": "What is prob of picking 2 v and 2 m when four letters picked without replacement from {m: 5, v: 9}?", "answer": "360/1001"}
What is prob of picking 2 v and 2 m when four letters picked without replacement from {m: 5, v: 9}?
360/1001
{"question": "Suppose 2*s = 6 - 2. Suppose -s*c = -0*c - 26. Let t(m) = m**3 - 7*m**2 - 7*m - 7. Let y be t(8). Solve -c = 4*u - y for u.", "answer": "-3"}
Suppose 2*s = 6 - 2. Suppose -s*c = -0*c - 26. Let t(m) = m**3 - 7*m**2 - 7*m - 7. Let y be t(8). Solve -c = 4*u - y for u.
-3
{"question": "Let b = 1 - 0.95. Let i = b - 1.55. Round i to the nearest integer.", "answer": "-2"}
Let b = 1 - 0.95. Let i = b - 1.55. Round i to the nearest integer.
-2
{"question": "Which is the fourth smallest value? (a) -2 (b) -2/3 (c) -930 (d) 15", "answer": "d"}
Which is the fourth smallest value? (a) -2 (b) -2/3 (c) -930 (d) 15
d
{"question": "Collect the terms in -3462*u - 3850*u + 1582*u.", "answer": "-5730*u"}
Collect the terms in -3462*u - 3850*u + 1582*u.
-5730*u
{"question": "What is 543 minutes after 4:03 AM?", "answer": "1:06 PM"}
What is 543 minutes after 4:03 AM?
1:06 PM
{"question": "Is 15439 a composite number?", "answer": "False"}
Is 15439 a composite number?
False
{"question": "Expand (0 - 3 + 1)*(4*q + 2*q + 0*q).", "answer": "-12*q"}
Expand (0 - 3 + 1)*(4*q + 2*q + 0*q).
-12*q
{"question": "Rearrange (o**2 + o**2 + 0*o**2)*(924*o**2 + 112*o**2 - 172*o**2) to c*o**2 + q + g*o**4 + k*o**3 + l*o and give g.", "answer": "1728"}
Rearrange (o**2 + o**2 + 0*o**2)*(924*o**2 + 112*o**2 - 172*o**2) to c*o**2 + q + g*o**4 + k*o**3 + l*o and give g.
1728
{"question": "What is the c'th term of -472, -819, -1168, -1519, -1872, -2227?", "answer": "-c**2 - 344*c - 127"}
What is the c'th term of -472, -819, -1168, -1519, -1872, -2227?
-c**2 - 344*c - 127
{"question": "Suppose -5*z - 166 = -2*h, 4*z = 2*h - 0*h - 170. Suppose 0 = 4*c - h - 3. What is the highest common factor of c and 12?", "answer": "12"}
Suppose -5*z - 166 = -2*h, 4*z = 2*h - 0*h - 170. Suppose 0 = 4*c - h - 3. What is the highest common factor of c and 12?
12
{"question": "What is 0.0000056634 rounded to five dps?", "answer": "0.00001"}
What is 0.0000056634 rounded to five dps?
0.00001
{"question": "Calculate the highest common factor of 50808630 and 30.", "answer": "30"}
Calculate the highest common factor of 50808630 and 30.
30
{"question": "Suppose -2*r - 2 = -6, 4*b + 76 = 2*r. Let m = -13 - b. Suppose -m*q + 42 = -78. Does 11 divide q?", "answer": "False"}
Suppose -2*r - 2 = -6, 4*b + 76 = 2*r. Let m = -13 - b. Suppose -m*q + 42 = -78. Does 11 divide q?
False
{"question": "Suppose 3*j - 4*b - 8 - 23 = 0, -5*j + b + 46 = 0. Let l be 3/(j/3)*(90 + 1). What is the highest common factor of l and 14?", "answer": "7"}
Suppose 3*j - 4*b - 8 - 23 = 0, -5*j + b + 46 = 0. Let l be 3/(j/3)*(90 + 1). What is the highest common factor of l and 14?
7
{"question": "What is the j'th term of -807, -1639, -2481, -3333?", "answer": "-5*j**2 - 817*j + 15"}
What is the j'th term of -807, -1639, -2481, -3333?
-5*j**2 - 817*j + 15
{"question": "What is (9/(-6))/(((-6534)/132)/99)?", "answer": "3"}
What is (9/(-6))/(((-6534)/132)/99)?
3
{"question": "Which is greater: 2209 or 2419?", "answer": "2419"}
Which is greater: 2209 or 2419?
2419
{"question": "Let o = -50635 - -85232. What is the units digit of o?", "answer": "7"}
Let o = -50635 - -85232. What is the units digit of o?
7
{"question": "What are the prime factors of 137654?", "answer": "2, 11, 6257"}
What are the prime factors of 137654?
2, 11, 6257
{"question": "Let h(z) = z**3 - 26*z**2 - 29*z + 54. Let y be h(27). Let w(o) = o**2 + o. Let p = 6 - 9. Let k be w(p). Solve y = 3*i + k for i.", "answer": "-2"}
Let h(z) = z**3 - 26*z**2 - 29*z + 54. Let y be h(27). Let w(o) = o**2 + o. Let p = 6 - 9. Let k be w(p). Solve y = 3*i + k for i.
-2
{"question": "What is the nearest to 1/2 in -2/1923, -4, -2/3, 7/3, -2?", "answer": "-2/1923"}
What is the nearest to 1/2 in -2/1923, -4, -2/3, 7/3, -2?
-2/1923
{"question": "What is next in 6389, 5295, 4203, 3113, 2025, 939?", "answer": "-145"}
What is next in 6389, 5295, 4203, 3113, 2025, 939?
-145
{"question": "Let f = 0.2 + -0.1. Let h = -10609/5 + 2143. Let n = h + -419/20. What is the closest to n in 3, 1, f?", "answer": "f"}
Let f = 0.2 + -0.1. Let h = -10609/5 + 2143. Let n = h + -419/20. What is the closest to n in 3, 1, f?
f
{"question": "Let x = 120/329 - -3/47. Let v(g) = -2*g + 15. Let u be v(7). What is the nearest to u in x, 0.2, -1?", "answer": "x"}
Let x = 120/329 - -3/47. Let v(g) = -2*g + 15. Let u be v(7). What is the nearest to u in x, 0.2, -1?
x
{"question": "Let f(b) = 5*b**3 + 3*b**2 - 5*b + 34. Let a(g) = 4*g**3 + 4*g**2 - 6*g + 33. Let i(h) = 6*a(h) - 5*f(h). Calculate the remainder when 29 is divided by i(8).", "answer": "1"}
Let f(b) = 5*b**3 + 3*b**2 - 5*b + 34. Let a(g) = 4*g**3 + 4*g**2 - 6*g + 33. Let i(h) = 6*a(h) - 5*f(h). Calculate the remainder when 29 is divided by i(8).
1
{"question": "What is the third root of 593830 to the nearest integer?", "answer": "84"}
What is the third root of 593830 to the nearest integer?
84
{"question": "Collect the terms in -239563*b**2 + 239563*b**2 + 7079*b**3 - 7071*b**3.", "answer": "8*b**3"}
Collect the terms in -239563*b**2 + 239563*b**2 + 7079*b**3 - 7071*b**3.
8*b**3
{"question": "Work out 933 - -2.", "answer": "935"}
Work out 933 - -2.
935
{"question": "Let z = -0.06 + 0.01. Let n = z - -3.05. Let a = -3.2 + n. Is 1 at least as big as a?", "answer": "True"}
Let z = -0.06 + 0.01. Let n = z - -3.05. Let a = -3.2 + n. Is 1 at least as big as a?
True
{"question": "Simplify -1*((1 + sqrt(1573) + 2 - (1*sqrt(1573) + sqrt(1573) - sqrt(1573))*1)**2 + 1).", "answer": "-10"}
Simplify -1*((1 + sqrt(1573) + 2 - (1*sqrt(1573) + sqrt(1573) - sqrt(1573))*1)**2 + 1).
-10
{"question": "Calculate ((2 - -8)/((-3)/1))/((-1910)/9168).", "answer": "16"}
Calculate ((2 - -8)/((-3)/1))/((-1910)/9168).
16
{"question": "Let a(s) = -242 + s + 242. Let i(k) = -5*k - 5. Let u(w) = -10*a(w) - i(w). Differentiate u(c) with respect to c.", "answer": "-5"}
Let a(s) = -242 + s + 242. Let i(k) = -5*k - 5. Let u(w) = -10*a(w) - i(w). Differentiate u(c) with respect to c.
-5
{"question": "Suppose 21*n = 26*n. What is the third derivative of -4*p**2 - 125 + n*p**2 + 123 - 14*p**5 + 7*p**2 wrt p?", "answer": "-840*p**2"}
Suppose 21*n = 26*n. What is the third derivative of -4*p**2 - 125 + n*p**2 + 123 - 14*p**5 + 7*p**2 wrt p?
-840*p**2
{"question": "What are the prime factors of 56125153?", "answer": "7, 8017879"}
What are the prime factors of 56125153?
7, 8017879
{"question": "Let k(l) = -l**2 + 2*l - 6. Let x be k(2). Let c(j) = -j**3 - 7*j**2 - 6*j - 4. Determine c(x).", "answer": "-4"}
Let k(l) = -l**2 + 2*l - 6. Let x be k(2). Let c(j) = -j**3 - 7*j**2 - 6*j - 4. Determine c(x).
-4
{"question": "What is the highest common divisor of 2142 and 18?", "answer": "18"}
What is the highest common divisor of 2142 and 18?
18
{"question": "What is the f'th term of 142126, 142124, 142122?", "answer": "-2*f + 142128"}
What is the f'th term of 142126, 142124, 142122?
-2*f + 142128
{"question": "Simplify 2*(4*(-4*sqrt(153) + 1 + 0))**2.", "answer": "-768*sqrt(17) + 78368"}
Simplify 2*(4*(-4*sqrt(153) + 1 + 0))**2.
-768*sqrt(17) + 78368
{"question": "Suppose 2*f = f + 1337. Is f a composite number?", "answer": "True"}
Suppose 2*f = f + 1337. Is f a composite number?
True
{"question": "Is 612 a factor of 10812511?", "answer": "False"}
Is 612 a factor of 10812511?
False
{"question": "Solve -16 - 53 = 23*w for w.", "answer": "-3"}
Solve -16 - 53 = 23*w for w.
-3
{"question": "What comes next: 3182, 3232, 3324, 3464, 3658?", "answer": "3912"}
What comes next: 3182, 3232, 3324, 3464, 3658?
3912
{"question": "Let u = -97 - -132. Find the second derivative of -u*o**4 - 2*o**2 + 15*o**4 + 2*o**2 - 30*o wrt o.", "answer": "-240*o**2"}
Let u = -97 - -132. Find the second derivative of -u*o**4 - 2*o**2 + 15*o**4 + 2*o**2 - 30*o wrt o.
-240*o**2
{"question": "Suppose 0 = -q + 4*n - 5 - 3, 4 = -5*q + 2*n. Solve -2*w + 5*w - 5*v = 16, 3*w + 4*v + 2 = q for w.", "answer": "2"}
Suppose 0 = -q + 4*n - 5 - 3, 4 = -5*q + 2*n. Solve -2*w + 5*w - 5*v = 16, 3*w + 4*v + 2 = q for w.
2
{"question": "Let a(s) = -16*s - 30. Let w(t) = 2*t**2 - 12*t + 8. Let c be w(1). Give a(c).", "answer": "2"}
Let a(s) = -16*s - 30. Let w(t) = 2*t**2 - 12*t + 8. Let c be w(1). Give a(c).
2
{"question": "Factor -2*p**3/21 - 8*p**2/21 - 8*p/21.", "answer": "-2*p*(p + 2)**2/21"}
Factor -2*p**3/21 - 8*p**2/21 - 8*p/21.
-2*p*(p + 2)**2/21
{"question": "Suppose h - 243 = 5*x, 4*h = -x - 2*x + 1087. Let m = -268 + h. What is the closest to 1 in m, -4, -3?", "answer": "m"}
Suppose h - 243 = 5*x, 4*h = -x - 2*x + 1087. Let m = -268 + h. What is the closest to 1 in m, -4, -3?
m
{"question": "In base 7, what is 5263563 + -1?", "answer": "5263562"}
In base 7, what is 5263563 + -1?
5263562
{"question": "Suppose -3*g - 50 = 220. Let o = g + 374. Let q = 918 - o. Is q a prime number?", "answer": "False"}
Suppose -3*g - 50 = 220. Let o = g + 374. Let q = 918 - o. Is q a prime number?
False
{"question": "Let z = 168 - 97. Suppose 0 = -0*r + 3*r + w - 31, 0 = 2*r + 3*w - 30. What is the remainder when z is divided by r?", "answer": "8"}
Let z = 168 - 97. Suppose 0 = -0*r + 3*r + w - 31, 0 = 2*r + 3*w - 30. What is the remainder when z is divided by r?
8
{"question": "2 + (-4 - -3) + 3 + 0", "answer": "4"}
2 + (-4 - -3) + 3 + 0
4
{"question": "List the prime factors of 50893.", "answer": "50893"}
List the prime factors of 50893.
50893
{"question": "Let i = 50 - 50.004582. What is i rounded to 4 dps?", "answer": "-0.0046"}
Let i = 50 - 50.004582. What is i rounded to 4 dps?
-0.0046
{"question": "Let k(w) = -65*w**3 + 9*w**2 + 6*w + 25. Let d be k(-10). Suppose -30*a = -15*a - d. Is a composite?", "answer": "False"}
Let k(w) = -65*w**3 + 9*w**2 + 6*w + 25. Let d be k(-10). Suppose -30*a = -15*a - d. Is a composite?
False
{"question": "Is 2707279 a prime number?", "answer": "False"}
Is 2707279 a prime number?
False
{"question": "Expand ((-2 + 0 - 11)*(-16*t - 4*t - 4*t) + 0*t - t + 0*t)*(-t - 1 + 1).", "answer": "-311*t**2"}
Expand ((-2 + 0 - 11)*(-16*t - 4*t - 4*t) + 0*t - t + 0*t)*(-t - 1 + 1).
-311*t**2
{"question": "What is the closest to -2 in -0.4, -17805, 0.3, -2?", "answer": "-2"}
What is the closest to -2 in -0.4, -17805, 0.3, -2?
-2
{"question": "What is the second derivative of 2411*a**4*q**2 + 2*a**3*q**3 + 18*a*q**3 + 371*a wrt a?", "answer": "28932*a**2*q**2 + 12*a*q**3"}
What is the second derivative of 2411*a**4*q**2 + 2*a**3*q**3 + 18*a*q**3 + 371*a wrt a?
28932*a**2*q**2 + 12*a*q**3
{"question": "What is the remainder when 316332 is divided by 766?", "answer": "740"}
What is the remainder when 316332 is divided by 766?
740
{"question": "Is 359101/2189 greater than 163?", "answer": "True"}
Is 359101/2189 greater than 163?
True
{"question": "What is -2 (base 4) in base 10?", "answer": "-2"}
What is -2 (base 4) in base 10?
-2
{"question": "Suppose -l**4/2 - 4053*l**3/2 + 24345*l**2/2 - 36527*l/2 + 8118 = 0. What is l?", "answer": "-4059, 1, 4"}
Suppose -l**4/2 - 4053*l**3/2 + 24345*l**2/2 - 36527*l/2 + 8118 = 0. What is l?
-4059, 1, 4
{"question": "Calculate 9 + (-13 - 5) + -5 + 3 + 25.", "answer": "14"}
Calculate 9 + (-13 - 5) + -5 + 3 + 25.
14
{"question": "In base 16, what is 11 - -1b4f5?", "answer": "1b506"}
In base 16, what is 11 - -1b4f5?
1b506
{"question": "Expand (0 - w + 0)*(3 - 3 + 5)*(1 + 1 - 5).", "answer": "15*w"}
Expand (0 - w + 0)*(3 - 3 + 5)*(1 + 1 - 5).
15*w
{"question": "Let m be ((-16)/7 - 14/(-49)) + 1. Let g(n) = 1. Let h(r) = r + 7. Give m*h(x) + 5*g(x).", "answer": "-x - 2"}
Let m be ((-16)/7 - 14/(-49)) + 1. Let g(n) = 1. Let h(r) = r + 7. Give m*h(x) + 5*g(x).
-x - 2
{"question": "Let s(x) = 3*x - 3. Let u be s(2). Suppose -4*g - 6 = -2*h, 4*g = -3*h + 2*g + 1. What is the first derivative of h + 2 - o**u - 6 + 2*o**3 wrt o?", "answer": "3*o**2"}
Let s(x) = 3*x - 3. Let u be s(2). Suppose -4*g - 6 = -2*h, 4*g = -3*h + 2*g + 1. What is the first derivative of h + 2 - o**u - 6 + 2*o**3 wrt o?
3*o**2
{"question": "Solve 0 = -3*r - 5*k - 43, 0 = 1291*r - 1294*r - 6*k - 51 for r.", "answer": "-1"}
Solve 0 = -3*r - 5*k - 43, 0 = 1291*r - 1294*r - 6*k - 51 for r.
-1
{"question": "Let p(b) = -11*b - 1. Let x be p(-5). Let o = x + -28. Suppose o + 25 = 3*n. What are the prime factors of n?", "answer": "17"}
Let p(b) = -11*b - 1. Let x be p(-5). Let o = x + -28. Suppose o + 25 = 3*n. What are the prime factors of n?
17
{"question": "Let l = -3418/99 - -21097/396. Let s(w) = w + 6. Let n be s(-3). What is x in l*x**2 + n + 15*x = 0?", "answer": "-2/5"}
Let l = -3418/99 - -21097/396. Let s(w) = w + 6. Let n be s(-3). What is x in l*x**2 + n + 15*x = 0?
-2/5
{"question": "What is 1041344302 (base 5) in base 14?", "answer": "439c7c"}
What is 1041344302 (base 5) in base 14?
439c7c
{"question": "What is prob of picking 3 s and 1 z when four letters picked without replacement from snnssnzrnrrrrrnrzrnn?", "answer": "2/4845"}
What is prob of picking 3 s and 1 z when four letters picked without replacement from snnssnzrnrrrrrnrzrnn?
2/4845
{"question": "What is the closest to 14.09 in 3, 0.4, -0.074?", "answer": "3"}
What is the closest to 14.09 in 3, 0.4, -0.074?
3
{"question": "Solve 599*i - 1482 + 7175 = -14912 + 4432 for i.", "answer": "-27"}
Solve 599*i - 1482 + 7175 = -14912 + 4432 for i.
-27
{"question": "Evaluate (-6)/(-171)*(57 + -48).", "answer": "6/19"}
Evaluate (-6)/(-171)*(57 + -48).
6/19
{"question": "Put -4, -28, 9, -17 in decreasing order.", "answer": "9, -4, -17, -28"}
Put -4, -28, 9, -17 in decreasing order.
9, -4, -17, -28
{"question": "Let r be -1*(-3)/6*10. Suppose -i - 20 = -r*i. Let x be (0 - 24 - 2)*i. What is x rounded to the nearest 10?", "answer": "-130"}
Let r be -1*(-3)/6*10. Suppose -i - 20 = -r*i. Let x be (0 - 24 - 2)*i. What is x rounded to the nearest 10?
-130
{"question": "Is 12 a factor of 15731?", "answer": "False"}
Is 12 a factor of 15731?
False
{"question": "Suppose 3*f = o + 5, 13 = -5*f - 4*o - 7. Suppose -3*w + 4*w - 22 = f. Solve 3*m + 0*m + w = 4*l, m = -4*l + 14 for l.", "answer": "4"}
Suppose 3*f = o + 5, 13 = -5*f - 4*o - 7. Suppose -3*w + 4*w - 22 = f. Solve 3*m + 0*m + w = 4*l, m = -4*l + 14 for l.
4
{"question": "What is 0.97964 rounded to 2 decimal places?", "answer": "0.98"}
What is 0.97964 rounded to 2 decimal places?
0.98
{"question": "Suppose 40*g + 6 = 43*g. Is g >= -3?", "answer": "True"}
Suppose 40*g + 6 = 43*g. Is g >= -3?
True
{"question": "Let a(g) = g**3 - 14*g**2 - 3*g - 20. Let v be a(15). Round v to the nearest one hundred.", "answer": "200"}
Let a(g) = g**3 - 14*g**2 - 3*g - 20. Let v be a(15). Round v to the nearest one hundred.
200
{"question": "Let z be (-1)/(3/(-6)) - 2. Let i(s) be the first derivative of -s**5/120 + 7*s**4/24 - s**3/3 + 1. Let j(l) be the third derivative of i(l). What is j(z)?", "answer": "7"}
Let z be (-1)/(3/(-6)) - 2. Let i(s) be the first derivative of -s**5/120 + 7*s**4/24 - s**3/3 + 1. Let j(l) be the third derivative of i(l). What is j(z)?
7
{"question": "Let l = 14 - 9. Suppose 5*u = 25 - 5. Sort u, 1, l in ascending order.", "answer": "1, u, l"}
Let l = 14 - 9. Suppose 5*u = 25 - 5. Sort u, 1, l in ascending order.
1, u, l
{"question": "What is -3 take away 95.1?", "answer": "-98.1"}
What is -3 take away 95.1?
-98.1
{"question": "Let s = 11.04 + -11. Let u = -71 - -70.9628. Let t = s + u. Round t to three decimal places.", "answer": "0.003"}
Let s = 11.04 + -11. Let u = -71 - -70.9628. Let t = s + u. Round t to three decimal places.
0.003
{"question": "Let n(u) = u**2 - 11*u + 2. Determine n(9).", "answer": "-16"}
Let n(u) = u**2 - 11*u + 2. Determine n(9).
-16
{"question": "What is the value of (299 - 270) + (5 - 9)?", "answer": "25"}
What is the value of (299 - 270) + (5 - 9)?
25
{"question": "Is 31679 a composite number?", "answer": "True"}
Is 31679 a composite number?
True
{"question": "Find the second derivative of 216*f**3*h**2 - 23*f**3*h - 3*f**3 + f**2*h - 11*f*h + 3*f + 98*h**5 wrt h.", "answer": "432*f**3 + 1960*h**3"}
Find the second derivative of 216*f**3*h**2 - 23*f**3*h - 3*f**3 + f**2*h - 11*f*h + 3*f + 98*h**5 wrt h.
432*f**3 + 1960*h**3
{"question": "Let f = -5247 - -5245.1802. What is f rounded to one decimal place?", "answer": "-1.8"}
Let f = -5247 - -5245.1802. What is f rounded to one decimal place?
-1.8
{"question": "What is the remainder when 1067667 is divided by 9212?", "answer": "8287"}
What is the remainder when 1067667 is divided by 9212?
8287
{"question": "Solve -1341/2*a - 1798281/4 - 1/4*a**2 = 0.", "answer": "-1341"}
Solve -1341/2*a - 1798281/4 - 1/4*a**2 = 0.
-1341
{"question": "Let d(s) = 2*s**3 - s**2 + 11*s + 2. Let j(u) = 5*u**3 - 2*u**2 + 22*u + 3. Let i(p) = 7*d(p) - 3*j(p). Calculate the remainder when i(-4) is divided by 9.", "answer": "0"}
Let d(s) = 2*s**3 - s**2 + 11*s + 2. Let j(u) = 5*u**3 - 2*u**2 + 22*u + 3. Let i(p) = 7*d(p) - 3*j(p). Calculate the remainder when i(-4) is divided by 9.
0