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": "In base 16, what is 3 - -64f344b?", "answer": "64f344e"}
In base 16, what is 3 - -64f344b?
64f344e
{"question": "Simplify ((l/l**4)**(-27))**(-43) assuming l is positive.", "answer": "l**(-3483)"}
Simplify ((l/l**4)**(-27))**(-43) assuming l is positive.
l**(-3483)
{"question": "Find the common denominator of 59/71165 and 79/375.", "answer": "5337375"}
Find the common denominator of 59/71165 and 79/375.
5337375
{"question": "Let m = 14 + -18. Which is the third smallest value? (a) m (b) 5 (c) 0.4", "answer": "b"}
Let m = 14 + -18. Which is the third smallest value? (a) m (b) 5 (c) 0.4
b
{"question": "Let o = -31/6 + 97/18. Let a be (-7)/(-30) - (-6)/(-15). Let b = 11/30 + a. Is b not equal to o?", "answer": "True"}
Let o = -31/6 + 97/18. Let a be (-7)/(-30) - (-6)/(-15). Let b = 11/30 + a. Is b not equal to o?
True
{"question": "Solve -4*k - 3*a + 2 = 0, -402*k - 3*a + 34 = -406*k for k.", "answer": "-4"}
Solve -4*k - 3*a + 2 = 0, -402*k - 3*a + 34 = -406*k for k.
-4
{"question": "What is the value of (-840)/192*76/(-285)*3?", "answer": "7/2"}
What is the value of (-840)/192*76/(-285)*3?
7/2
{"question": "Let s(u) = 1242*u - 8707. Calculate s(7).", "answer": "-13"}
Let s(u) = 1242*u - 8707. Calculate s(7).
-13
{"question": "What is the millions digit of 2538768?", "answer": "2"}
What is the millions digit of 2538768?
2
{"question": "Let p(j) = -4*j**3 + 2*j**2 - 2*j + 2. Let c(i) = -i**2 + i - 1. Let n = 241 - 251. Let z be n/4*((-576)/(-60))/12. Determine z*c(h) - p(h).", "answer": "4*h**3"}
Let p(j) = -4*j**3 + 2*j**2 - 2*j + 2. Let c(i) = -i**2 + i - 1. Let n = 241 - 251. Let z be n/4*((-576)/(-60))/12. Determine z*c(h) - p(h).
4*h**3
{"question": "Suppose 0 = 3*n - 9 - 0. Suppose 2*w = -n*i - 4, -5*w + 4*i = -52 + 16. Suppose -w*s + 8 = -8, 2*t + 2*s - 126 = 0. Is t composite?", "answer": "False"}
Suppose 0 = 3*n - 9 - 0. Suppose 2*w = -n*i - 4, -5*w + 4*i = -52 + 16. Suppose -w*s + 8 = -8, 2*t + 2*s - 126 = 0. Is t composite?
False
{"question": "What is the closest to 1/7 in -7, -0.9, -1/2, 0, -3/11?", "answer": "0"}
What is the closest to 1/7 in -7, -0.9, -1/2, 0, -3/11?
0
{"question": "Suppose 3*y**4/7 - 108*y**3/7 + 159*y**2 - 2628*y/7 + 1620/7 = 0. Calculate y.", "answer": "1, 2, 15, 18"}
Suppose 3*y**4/7 - 108*y**3/7 + 159*y**2 - 2628*y/7 + 1620/7 = 0. Calculate y.
1, 2, 15, 18
{"question": "What is f in 4*f**3 - 12*f**2 + 8*f = 0?", "answer": "0, 1, 2"}
What is f in 4*f**3 - 12*f**2 + 8*f = 0?
0, 1, 2
{"question": "Which is the nearest to 1? (a) 6/11 (b) -5 (c) -2/3 (d) 19/79 (e) 1/5", "answer": "a"}
Which is the nearest to 1? (a) 6/11 (b) -5 (c) -2/3 (d) 19/79 (e) 1/5
a
{"question": "Factor -n**2/4 + 348022*n - 121119312484.", "answer": "-(n - 696044)**2/4"}
Factor -n**2/4 + 348022*n - 121119312484.
-(n - 696044)**2/4
{"question": "What is -10.69083132 rounded to 3 dps?", "answer": "-10.691"}
What is -10.69083132 rounded to 3 dps?
-10.691
{"question": "Let r be (-3)/(-5) - (-51)/15. Let n be (1*(0 + -3))/(r/1). Let x = 3 - 2.5. Which is the closest to -1/2? (a) n (b) 0 (c) x", "answer": "a"}
Let r be (-3)/(-5) - (-51)/15. Let n be (1*(0 + -3))/(r/1). Let x = 3 - 2.5. Which is the closest to -1/2? (a) n (b) 0 (c) x
a
{"question": "Let f(x) = 2*x**3 - 71*x**2 + 655*x - 421. Give f(18).", "answer": "29"}
Let f(x) = 2*x**3 - 71*x**2 + 655*x - 421. Give f(18).
29
{"question": "Let r = -20 - -25. Suppose 45 = 5*m - r*t, -5*m + 32 = -3*t - 3. Solve 8 = 2*h, 2*q = -m*h + 3*h + 10 for q.", "answer": "3"}
Let r = -20 - -25. Suppose 45 = 5*m - r*t, -5*m + 32 = -3*t - 3. Solve 8 = 2*h, 2*q = -m*h + 3*h + 10 for q.
3
{"question": "Let d(j) = -2*j - 1. Determine d(0).", "answer": "-1"}
Let d(j) = -2*j - 1. Determine d(0).
-1
{"question": "What is prob of sequence or when two letters picked without replacement from {h: 1, r: 2, o: 5, w: 1}?", "answer": "5/36"}
What is prob of sequence or when two letters picked without replacement from {h: 1, r: 2, o: 5, w: 1}?
5/36
{"question": "Let b(r) = -r**3 - 13*r**2 + r + 9. Let v be b(-13). Let i be 284/36 + 2/18. Let g be (i/16)/(2/(-6)). Is g smaller than v?", "answer": "False"}
Let b(r) = -r**3 - 13*r**2 + r + 9. Let v be b(-13). Let i be 284/36 + 2/18. Let g be (i/16)/(2/(-6)). Is g smaller than v?
False
{"question": "Calculate the remainder when 62 is divided by 8.", "answer": "6"}
Calculate the remainder when 62 is divided by 8.
6
{"question": "Solve -4*i + 3 = 11*q, 4 = 2*q - 19*i + 18*i for q.", "answer": "1"}
Solve -4*i + 3 = 11*q, 4 = 2*q - 19*i + 18*i for q.
1
{"question": "Suppose 0 = 55*r - 51*r - 92. Suppose 3*u - r = -14. Solve u*s - d - 7 = -s, -3*s - 3*d + 9 = 0 for s.", "answer": "2"}
Suppose 0 = 55*r - 51*r - 92. Suppose 3*u - r = -14. Solve u*s - d - 7 = -s, -3*s - 3*d + 9 = 0 for s.
2
{"question": "Calculate 0.5*-3198.", "answer": "-1599"}
Calculate 0.5*-3198.
-1599
{"question": "Express -4*n**2 + 13*n**2 - 6*n + 6*n as v + y*n + d*n**2 and give d.", "answer": "9"}
Express -4*n**2 + 13*n**2 - 6*n + 6*n as v + y*n + d*n**2 and give d.
9
{"question": "Factor -5*x**3/3 + 10*x**2 + 95*x/3 - 40.", "answer": "-5*(x - 8)*(x - 1)*(x + 3)/3"}
Factor -5*x**3/3 + 10*x**2 + 95*x/3 - 40.
-5*(x - 8)*(x - 1)*(x + 3)/3
{"question": "Let z = 15 + -27. Let w be (2/(-10))/(z/20). What is the closest to w in 0.2, 5, 0.5?", "answer": "0.2"}
Let z = 15 + -27. Let w be (2/(-10))/(z/20). What is the closest to w in 0.2, 5, 0.5?
0.2
{"question": "Let t be 0 + 2*3/(-18) + 1. Put t, -1/3, 2/9, 2 in descending order.", "answer": "2, t, 2/9, -1/3"}
Let t be 0 + 2*3/(-18) + 1. Put t, -1/3, 2/9, 2 in descending order.
2, t, 2/9, -1/3
{"question": "What is the derivative of -2119238*o + 3210210 wrt o?", "answer": "-2119238"}
What is the derivative of -2119238*o + 3210210 wrt o?
-2119238
{"question": "Is 125857 a prime number?", "answer": "False"}
Is 125857 a prime number?
False
{"question": "Let v(n) = n**3 + 3*n**2 - 4*n + 4. Let q be v(-4). Solve -3*b - 26 = -q*y, 3*b = 5*b + y - 1 for b.", "answer": "-2"}
Let v(n) = n**3 + 3*n**2 - 4*n + 4. Let q be v(-4). Solve -3*b - 26 = -q*y, 3*b = 5*b + y - 1 for b.
-2
{"question": "What is -0.1 take away 902.8?", "answer": "-902.9"}
What is -0.1 take away 902.8?
-902.9
{"question": "Let u(m) = -28028*m**3 + 13*m**2 - 20. Let s be u(-4). Suppose -y = 3*d - 2691005, 2*d = -y + 5*y + s. Round d to the nearest 100000.", "answer": "900000"}
Let u(m) = -28028*m**3 + 13*m**2 - 20. Let s be u(-4). Suppose -y = 3*d - 2691005, 2*d = -y + 5*y + s. Round d to the nearest 100000.
900000
{"question": "What are the prime factors of 728868?", "answer": "2, 3, 7, 8677"}
What are the prime factors of 728868?
2, 3, 7, 8677
{"question": "Solve -7*a - 16 = -11*a for a.", "answer": "4"}
Solve -7*a - 16 = -11*a for a.
4
{"question": "What is -1.3379108 - -0.066217?", "answer": "-1.2716938"}
What is -1.3379108 - -0.066217?
-1.2716938
{"question": "Evaluate -9 - 28/(4 + -11).", "answer": "-5"}
Evaluate -9 - 28/(4 + -11).
-5
{"question": "Let j(i) = 26862*i**3 + 25*i**2 - 26*i. Is j(1) a composite number?", "answer": "False"}
Let j(i) = 26862*i**3 + 25*i**2 - 26*i. Is j(1) a composite number?
False
{"question": "Evaluate 30/(-8) + 6*(-9)/(-72).", "answer": "-3"}
Evaluate 30/(-8) + 6*(-9)/(-72).
-3
{"question": "Evaluate ((-1)/6)/((-20)/80).", "answer": "2/3"}
Evaluate ((-1)/6)/((-20)/80).
2/3
{"question": "Add together -3.396151 and 0.2.", "answer": "-3.196151"}
Add together -3.396151 and 0.2.
-3.196151
{"question": "Let h = 3.2899811 - 3.29. What is h rounded to six decimal places?", "answer": "-0.000019"}
Let h = 3.2899811 - 3.29. What is h rounded to six decimal places?
-0.000019
{"question": "Factor -2*v**3/3 + 16310*v**2/3 - 33325286*v/3 + 99535974.", "answer": "-2*(v - 4073)**2*(v - 9)/3"}
Factor -2*v**3/3 + 16310*v**2/3 - 33325286*v/3 + 99535974.
-2*(v - 4073)**2*(v - 9)/3
{"question": "Let r be 42/4 - (-3)/2. Suppose 2*v - 6*v = -r. What is the units digit of v?", "answer": "3"}
Let r be 42/4 - (-3)/2. Suppose 2*v - 6*v = -r. What is the units digit of v?
3
{"question": "Suppose -5*r = -4*v + 36, -10*v + 16 = -5*v + r. Sort v, -1, 2, -2 in descending order.", "answer": "v, 2, -1, -2"}
Suppose -5*r = -4*v + 36, -10*v + 16 = -5*v + r. Sort v, -1, 2, -2 in descending order.
v, 2, -1, -2
{"question": "What is the greatest common divisor of 3690 and 60?", "answer": "30"}
What is the greatest common divisor of 3690 and 60?
30
{"question": "What is -5829192.342 rounded to the nearest one hundred?", "answer": "-5829200"}
What is -5829192.342 rounded to the nearest one hundred?
-5829200
{"question": "What is the common denominator of -35/72 and -113/84?", "answer": "504"}
What is the common denominator of -35/72 and -113/84?
504
{"question": "Let y = 167098/21813 - 56/661. Let l = -34/11 - y. Let u = 2/651 + 15188/651. What is the common denominator of u and l?", "answer": "3"}
Let y = 167098/21813 - 56/661. Let l = -34/11 - y. Let u = 2/651 + 15188/651. What is the common denominator of u and l?
3
{"question": "Calculate the remainder when (-955)/(-40) - 1/(-8) is divided by 7.", "answer": "3"}
Calculate the remainder when (-955)/(-40) - 1/(-8) is divided by 7.
3
{"question": "Suppose -2100 = 97*k - 107*k. Does 11 divide k?", "answer": "False"}
Suppose -2100 = 97*k - 107*k. Does 11 divide k?
False
{"question": "Is 907637 composite?", "answer": "False"}
Is 907637 composite?
False
{"question": "Convert 254721.7 nanometers to micrometers.", "answer": "254.7217"}
Convert 254721.7 nanometers to micrometers.
254.7217
{"question": "Is 12 a factor of 4476?", "answer": "True"}
Is 12 a factor of 4476?
True
{"question": "(21 + 0 - (-13 - -25)) + 9 + 3", "answer": "21"}
(21 + 0 - (-13 - -25)) + 9 + 3
21
{"question": "Find the second derivative of -2*n**3*v**2 - 3*n**3 - 16448*n**2*v - 6*n**2 - 46995624*n*v**2 + 2*n*v + 6 wrt v.", "answer": "-4*n**3 - 93991248*n"}
Find the second derivative of -2*n**3*v**2 - 3*n**3 - 16448*n**2*v - 6*n**2 - 46995624*n*v**2 + 2*n*v + 6 wrt v.
-4*n**3 - 93991248*n
{"question": "Sort 2, 3, -3, 42.", "answer": "-3, 2, 3, 42"}
Sort 2, 3, -3, 42.
-3, 2, 3, 42
{"question": "Solve 485*i - 96 = 461*i for i.", "answer": "4"}
Solve 485*i - 96 = 461*i for i.
4
{"question": "Which is the nearest to 2/7? (a) -1/14 (b) -1/29 (c) 41", "answer": "b"}
Which is the nearest to 2/7? (a) -1/14 (b) -1/29 (c) 41
b
{"question": "Let d be (-1)/(-4) + 18/(-8). Let s be (-7 + 13)*(-1)/d. Suppose -130 = -s*f + 14. Does 12 divide f?", "answer": "True"}
Let d be (-1)/(-4) + 18/(-8). Let s be (-7 + 13)*(-1)/d. Suppose -130 = -s*f + 14. Does 12 divide f?
True
{"question": "Let a(h) = -2*h**2. Let u(f) = 10*f**2 + 290 - 290. What is a(u(g))?", "answer": "-200*g**4"}
Let a(h) = -2*h**2. Let u(f) = 10*f**2 + 290 - 290. What is a(u(g))?
-200*g**4
{"question": "Simplify (-1*sqrt(225))/sqrt(5).", "answer": "-3*sqrt(5)"}
Simplify (-1*sqrt(225))/sqrt(5).
-3*sqrt(5)
{"question": "Let m = -9 - -6. Let t = 0 - -8. Suppose o - 2*g - t = 0, 2*o + 21 = 4*o - 5*g. Which is smaller: o or m?", "answer": "m"}
Let m = -9 - -6. Let t = 0 - -8. Suppose o - 2*g - t = 0, 2*o + 21 = 4*o - 5*g. Which is smaller: o or m?
m
{"question": "List the prime factors of 22861810.", "answer": "2, 5, 43, 79, 673"}
List the prime factors of 22861810.
2, 5, 43, 79, 673
{"question": "Rearrange 1 + 4 - 9*o + 31*o + 11*o to the form w*o + a and give a.", "answer": "5"}
Rearrange 1 + 4 - 9*o + 31*o + 11*o to the form w*o + a and give a.
5
{"question": "Simplify (h**2*h*h)**(-3/10) assuming h is positive.", "answer": "h**(-6/5)"}
Simplify (h**2*h*h)**(-3/10) assuming h is positive.
h**(-6/5)
{"question": "Let t = 4 + -3.7. Let i = 22.19 - 22. Let b = 1.19 - i. What is the closest to b in t, -2/11, 2/5?", "answer": "2/5"}
Let t = 4 + -3.7. Let i = 22.19 - 22. Let b = 1.19 - i. What is the closest to b in t, -2/11, 2/5?
2/5
{"question": "Let m be (4/2 + -2)/((-1)/(-1)). Solve 5*o - 5 = -m*o for o.", "answer": "1"}
Let m be (4/2 + -2)/((-1)/(-1)). Solve 5*o - 5 = -m*o for o.
1
{"question": "What is 0.088279 litres in millilitres?", "answer": "88.279"}
What is 0.088279 litres in millilitres?
88.279
{"question": "Let i be (1 + -2)*(-297)/(-3). Let k = i - -101. Let w be ((-3)/((-105)/k))/(70/50). Is -1 smaller than w?", "answer": "True"}
Let i be (1 + -2)*(-297)/(-3). Let k = i - -101. Let w be ((-3)/((-105)/k))/(70/50). Is -1 smaller than w?
True
{"question": "Two letters picked without replacement from {z: 5, p: 5}. What is prob of picking 2 p?", "answer": "2/9"}
Two letters picked without replacement from {z: 5, p: 5}. What is prob of picking 2 p?
2/9
{"question": "Round -0.22161 to 2 dps.", "answer": "-0.22"}
Round -0.22161 to 2 dps.
-0.22
{"question": "What is 2bb07 (base 13) in base 15?", "answer": "1998a"}
What is 2bb07 (base 13) in base 15?
1998a
{"question": "Product of -4 and 2297.", "answer": "-9188"}
Product of -4 and 2297.
-9188
{"question": "What comes next: -43, -134, -287, -508, -803?", "answer": "-1178"}
What comes next: -43, -134, -287, -508, -803?
-1178
{"question": "What is the second biggest value in 5, 0.5, -4, 60?", "answer": "5"}
What is the second biggest value in 5, 0.5, -4, 60?
5
{"question": "Let r(s) = -s**3 + 38*s**2 + 217*s - 86. Let n be r(43). Are 4/1335 and n equal?", "answer": "False"}
Let r(s) = -s**3 + 38*s**2 + 217*s - 86. Let n be r(43). Are 4/1335 and n equal?
False
{"question": "Suppose -155 = 6*b - 17. Let t = -19 - b. Suppose -t*n - n + 1255 = 0. Is n prime?", "answer": "True"}
Suppose -155 = 6*b - 17. Let t = -19 - b. Suppose -t*n - n + 1255 = 0. Is n prime?
True
{"question": "Which is the closest to -3? (a) 1079 (b) 4 (c) 5 (d) -413 (e) 0.2", "answer": "e"}
Which is the closest to -3? (a) 1079 (b) 4 (c) 5 (d) -413 (e) 0.2
e
{"question": "Simplify ((b/(b/b**(2/13)*b))/(b/(b*b**(2/9)/b)))**31/(((b**(-4)/b)/b**(-2))/(b**7/b**3)) assuming b is positive.", "answer": "b**(-5071/117)"}
Simplify ((b/(b/b**(2/13)*b))/(b/(b*b**(2/9)/b)))**31/(((b**(-4)/b)/b**(-2))/(b**7/b**3)) assuming b is positive.
b**(-5071/117)
{"question": "What is the hundreds digit of 3884?", "answer": "8"}
What is the hundreds digit of 3884?
8
{"question": "Let u(w) be the second derivative of 2*w**3/3 + 44*w**2 + 6*w. Let p be u(-21). Let j be (p - 1) + -3 + 0. Solve -1 + j = f for f.", "answer": "-1"}
Let u(w) be the second derivative of 2*w**3/3 + 44*w**2 + 6*w. Let p be u(-21). Let j be (p - 1) + -3 + 0. Solve -1 + j = f for f.
-1
{"question": "Suppose -18*b**2 + 20*b**2 - 3*b + b = 0. Calculate b.", "answer": "0, 1"}
Suppose -18*b**2 + 20*b**2 - 3*b + b = 0. Calculate b.
0, 1
{"question": "-9 * 13.9", "answer": "-125.1"}
-9 * 13.9
-125.1
{"question": "What is the s'th term of 140921, 281920, 422987, 564128, 705349?", "answer": "s**3 + 28*s**2 + 140908*s - 16"}
What is the s'th term of 140921, 281920, 422987, 564128, 705349?
s**3 + 28*s**2 + 140908*s - 16
{"question": "Suppose 2*y**2/3 - 6224*y/3 + 4842272/3 = 0. Calculate y.", "answer": "1556"}
Suppose 2*y**2/3 - 6224*y/3 + 4842272/3 = 0. Calculate y.
1556
{"question": "Let x(w) = -w**2 + 3. Let t be x(0). Suppose 0 = -2*j + 4*f + 1240, -3*f = 7*j - 4*j - 1860. Let y = -617 + j. Solve -t*g = 8*i - y*i - 1, 4 = 2*i for g.", "answer": "-3"}
Let x(w) = -w**2 + 3. Let t be x(0). Suppose 0 = -2*j + 4*f + 1240, -3*f = 7*j - 4*j - 1860. Let y = -617 + j. Solve -t*g = 8*i - y*i - 1, 4 = 2*i for g.
-3
{"question": "Simplify 2 + sqrt(7) + 2 + 0.", "answer": "sqrt(7) + 4"}
Simplify 2 + sqrt(7) + 2 + 0.
sqrt(7) + 4
{"question": "Factor -34*c**3/5 + 1133180*c**2 - 236047559832*c/5 + 27770222736/5.", "answer": "-2*(c - 83322)**2*(17*c - 2)/5"}
Factor -34*c**3/5 + 1133180*c**2 - 236047559832*c/5 + 27770222736/5.
-2*(c - 83322)**2*(17*c - 2)/5
{"question": "Factor 3*x**2 + 911508*x + 911505.", "answer": "3*(x + 1)*(x + 303835)"}
Factor 3*x**2 + 911508*x + 911505.
3*(x + 1)*(x + 303835)
{"question": "Let 14*n**3/9 - 32*n**2/9 - 34*n/9 + 4/3 = 0. What is n?", "answer": "-1, 2/7, 3"}
Let 14*n**3/9 - 32*n**2/9 - 34*n/9 + 4/3 = 0. What is n?
-1, 2/7, 3
{"question": "Let g = 10.01 - -0.49. Let w = g + -14. Let i = -4 - w. Which is the second biggest value? (a) 1/6 (b) -4/3 (c) i", "answer": "c"}
Let g = 10.01 - -0.49. Let w = g + -14. Let i = -4 - w. Which is the second biggest value? (a) 1/6 (b) -4/3 (c) i
c
{"question": "Calculate the remainder when 28611 is divided by 311.", "answer": "310"}
Calculate the remainder when 28611 is divided by 311.
310
{"question": "Calculate -2.296 + -0.12.", "answer": "-2.416"}
Calculate -2.296 + -0.12.
-2.416
{"question": "What is prob of sequence dn when two letters picked without replacement from {b: 1, s: 1, n: 1, d: 1, i: 1}?", "answer": "1/20"}
What is prob of sequence dn when two letters picked without replacement from {b: 1, s: 1, n: 1, d: 1, i: 1}?
1/20
{"question": "What is the lowest common multiple of 1638 and 15750?", "answer": "204750"}
What is the lowest common multiple of 1638 and 15750?
204750
{"question": "List the prime factors of 195355.", "answer": "5, 89, 439"}
List the prime factors of 195355.
5, 89, 439