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 y be ((-2)/3)/((-18)/(-135)). Let i be (-612)/(-15) - 1/y. Suppose -4*u - i + 5 = 0. Which is smaller: u or -12?", "answer": "-12"}
Let y be ((-2)/3)/((-18)/(-135)). Let i be (-612)/(-15) - 1/y. Suppose -4*u - i + 5 = 0. Which is smaller: u or -12?
-12
{"question": "Expand (-29*f - 232*f + 114*f + 2)*(f - 2*f - 7*f).", "answer": "1176*f**2 - 16*f"}
Expand (-29*f - 232*f + 114*f + 2)*(f - 2*f - 7*f).
1176*f**2 - 16*f
{"question": "Let b(n) = 1134*n**2 - 115*n + 98. Calculate b(1).", "answer": "1117"}
Let b(n) = 1134*n**2 - 115*n + 98. Calculate b(1).
1117
{"question": "What is the hundreds digit of 3659403?", "answer": "4"}
What is the hundreds digit of 3659403?
4
{"question": "Let r = 191606.6 + -191606. Suppose 4*h - 4*s + 14 = s, h - 5*s + 11 = 0. Which is the nearest to h? (a) 0 (b) -1 (c) 4 (d) r", "answer": "b"}
Let r = 191606.6 + -191606. Suppose 4*h - 4*s + 14 = s, h - 5*s + 11 = 0. Which is the nearest to h? (a) 0 (b) -1 (c) 4 (d) r
b
{"question": "Let o(x) = 3733*x**2 + 10*x + 19. Is o(-6) composite?", "answer": "True"}
Let o(x) = 3733*x**2 + 10*x + 19. Is o(-6) composite?
True
{"question": "Let q(w) = 172*w**3 - 2*w**2 + 12*w - 10. Let n be q(1). Let s = n - -17. What is the tens digit of s?", "answer": "8"}
Let q(w) = 172*w**3 - 2*w**2 + 12*w - 10. Let n be q(1). Let s = n - -17. What is the tens digit of s?
8
{"question": "Let f(h) = h**2 + 24*h + 53. Let l be ((46/(-3))/1)/((-4)/(-6)). Calculate the least common multiple of f(l) and 6.", "answer": "30"}
Let f(h) = h**2 + 24*h + 53. Let l be ((46/(-3))/1)/((-4)/(-6)). Calculate the least common multiple of f(l) and 6.
30
{"question": "Solve 0 = -8*d + 96 - 72 for d.", "answer": "3"}
Solve 0 = -8*d + 96 - 72 for d.
3
{"question": "In base 5, what is -41221144242 + 3?", "answer": "-41221144234"}
In base 5, what is -41221144242 + 3?
-41221144234
{"question": "Let p(b) = b**2 + 45*b + 86. Let x be p(-2). What is the third biggest value in x, 0.2, -358/7?", "answer": "-358/7"}
Let p(b) = b**2 + 45*b + 86. Let x be p(-2). What is the third biggest value in x, 0.2, -358/7?
-358/7
{"question": "Let c(o) = 176*o - 85. Is c(9) a prime number?", "answer": "True"}
Let c(o) = 176*o - 85. Is c(9) a prime number?
True
{"question": "What is the value of 1/(((-8 - -2) + 4)/(-2))?", "answer": "1"}
What is the value of 1/(((-8 - -2) + 4)/(-2))?
1
{"question": "What is the value of 240/(-440)*66/(-54)?", "answer": "2/3"}
What is the value of 240/(-440)*66/(-54)?
2/3
{"question": "Let p = 2/147 - 53/294. What is the closest to -1 in 7, p, 5?", "answer": "p"}
Let p = 2/147 - 53/294. What is the closest to -1 in 7, p, 5?
p
{"question": "What is the next term in 23915, 23722, 23203, 22196, 20539, 18070, 14627, 10048?", "answer": "4171"}
What is the next term in 23915, 23722, 23203, 22196, 20539, 18070, 14627, 10048?
4171
{"question": "Suppose -37*a + 81*a = 28*a + 32. Solve -2*d = 3*c - 13, 24 = 6*c - a*c - 4*d for c.", "answer": "5"}
Suppose -37*a + 81*a = 28*a + 32. Solve -2*d = 3*c - 13, 24 = 6*c - a*c - 4*d for c.
5
{"question": "Let m be 3*(-3)/9 + (-435)/2. Let f be 263 - (2 + 18/(-3)). Let y = f + m. Find the common denominator of y and -11/6.", "answer": "6"}
Let m be 3*(-3)/9 + (-435)/2. Let f be 263 - (2 + 18/(-3)). Let y = f + m. Find the common denominator of y and -11/6.
6
{"question": "What is the r'th term of -145, -508, -1039, -1684, -2389, -3100?", "answer": "9*r**3 - 138*r**2 - 12*r - 4"}
What is the r'th term of -145, -508, -1039, -1684, -2389, -3100?
9*r**3 - 138*r**2 - 12*r - 4
{"question": "What is the biggest value in 0.2, 0.4, -2/3, -2/29?", "answer": "0.4"}
What is the biggest value in 0.2, 0.4, -2/3, -2/29?
0.4
{"question": "How many millimeters are there in 2.107355 meters?", "answer": "2107.355"}
How many millimeters are there in 2.107355 meters?
2107.355
{"question": "Let s be 25/(-20) + 12011985/(-12). Round s to the nearest 100000.", "answer": "-1000000"}
Let s be 25/(-20) + 12011985/(-12). Round s to the nearest 100000.
-1000000
{"question": "What is prob of sequence lq when two letters picked without replacement from {l: 5, q: 6, a: 4}?", "answer": "1/7"}
What is prob of sequence lq when two letters picked without replacement from {l: 5, q: 6, a: 4}?
1/7
{"question": "What is the remainder when 153558 is divided by 55?", "answer": "53"}
What is the remainder when 153558 is divided by 55?
53
{"question": "Simplify c**(-2/89)*c**(4/9) assuming c is positive.", "answer": "c**(338/801)"}
Simplify c**(-2/89)*c**(4/9) assuming c is positive.
c**(338/801)
{"question": "Suppose -33*b + 36*b = 21. Let l be (-3)/(-12)*b/(-196). Let y = -9 - -9. Is l >= y?", "answer": "False"}
Suppose -33*b + 36*b = 21. Let l be (-3)/(-12)*b/(-196). Let y = -9 - -9. Is l >= y?
False
{"question": "How many kilograms are there in twenty-seven halves of a tonne?", "answer": "13500"}
How many kilograms are there in twenty-seven halves of a tonne?
13500
{"question": "What is 1/3 + 45227/(-2769)?", "answer": "-16"}
What is 1/3 + 45227/(-2769)?
-16
{"question": "What is the tens digit of 28121?", "answer": "2"}
What is the tens digit of 28121?
2
{"question": "Two letters picked without replacement from {h: 3, o: 3, u: 3, e: 7, s: 1, k: 1}. Give prob of picking 1 s and 1 k.", "answer": "1/153"}
Two letters picked without replacement from {h: 3, o: 3, u: 3, e: 7, s: 1, k: 1}. Give prob of picking 1 s and 1 k.
1/153
{"question": "Let x(a) be the first derivative of 3*a**2/2 - 14. Let t(l) = -6*l. Determine x(t(o)).", "answer": "-18*o"}
Let x(a) be the first derivative of 3*a**2/2 - 14. Let t(l) = -6*l. Determine x(t(o)).
-18*o
{"question": "Is 1152126577 prime?", "answer": "False"}
Is 1152126577 prime?
False
{"question": "List the prime factors of 536.", "answer": "2, 67"}
List the prime factors of 536.
2, 67
{"question": "17adc (base 15) to base 7", "answer": "436431"}
17adc (base 15) to base 7
436431
{"question": "Rearrange -2*v**3 - 6 + 4 + 0*v**2 + 2*v**2 to d + y*v**3 + r*v + f*v**2 and give d.", "answer": "-2"}
Rearrange -2*v**3 - 6 + 4 + 0*v**2 + 2*v**2 to d + y*v**3 + r*v + f*v**2 and give d.
-2
{"question": "Calculate the remainder when 47030873 is divided by 51.", "answer": "50"}
Calculate the remainder when 47030873 is divided by 51.
50
{"question": "Let p be (-1140)/1330*(-28)/3. What is the greatest common factor of 592 and p?", "answer": "8"}
Let p be (-1140)/1330*(-28)/3. What is the greatest common factor of 592 and p?
8
{"question": "Let m be 99/(-110)*5/(-3). Let r(p) = p**2 + 13*p + 1. Let y be r(-13). Which is bigger: m or y?", "answer": "m"}
Let m be 99/(-110)*5/(-3). Let r(p) = p**2 + 13*p + 1. Let y be r(-13). Which is bigger: m or y?
m
{"question": "Suppose 2*m - 3*m + 340 = 0. Suppose 5*g - m = g. Is g a prime number?", "answer": "False"}
Suppose 2*m - 3*m + 340 = 0. Suppose 5*g - m = g. Is g a prime number?
False
{"question": "Suppose -o - 1 + 15 = 0. Calculate the lowest common multiple of 12 and o.", "answer": "84"}
Suppose -o - 1 + 15 = 0. Calculate the lowest common multiple of 12 and o.
84
{"question": "Expand (4*q + 3*q - 5*q)*(q - 4 + 0 - 3*q)*(6 + 3 - 5).", "answer": "-16*q**2 - 32*q"}
Expand (4*q + 3*q - 5*q)*(q - 4 + 0 - 3*q)*(6 + 3 - 5).
-16*q**2 - 32*q
{"question": "What is (-100)/(-40)*(0 - 2)?", "answer": "-5"}
What is (-100)/(-40)*(0 - 2)?
-5
{"question": "Is 92590601 composite?", "answer": "False"}
Is 92590601 composite?
False
{"question": "Simplify (1*(4*1*sqrt(77) - (sqrt(77) - ((sqrt(77) - 1*sqrt(77)*4) + sqrt(77)))))/(-3*(sqrt(1008) + sqrt(1008)*2 + sqrt(1008))*-5).", "answer": "sqrt(11)/720"}
Simplify (1*(4*1*sqrt(77) - (sqrt(77) - ((sqrt(77) - 1*sqrt(77)*4) + sqrt(77)))))/(-3*(sqrt(1008) + sqrt(1008)*2 + sqrt(1008))*-5).
sqrt(11)/720
{"question": "Suppose y + 0*y - 2 = 0. Let q be (2 - 7/(-2))*y. Is (q - (-2 - -1)) + 1 a multiple of 13?", "answer": "True"}
Suppose y + 0*y - 2 = 0. Let q be (2 - 7/(-2))*y. Is (q - (-2 - -1)) + 1 a multiple of 13?
True
{"question": "What is 112 (base 3) in base 12?", "answer": "12"}
What is 112 (base 3) in base 12?
12
{"question": "Suppose 5*f - 5 - 5 = 0. Let r = 0.18 + -0.42. Let z = 0.16 - r. Put z, -5, f in descending order.", "answer": "f, z, -5"}
Suppose 5*f - 5 - 5 = 0. Let r = 0.18 + -0.42. Let z = 0.16 - r. Put z, -5, f in descending order.
f, z, -5
{"question": "Let z(j) = 100*j - 1381. Let b be z(14). Solve 5*w + 22 = -4*v, b*w + 5 = -v + 18*w for v.", "answer": "-3"}
Let z(j) = 100*j - 1381. Let b be z(14). Solve 5*w + 22 = -4*v, b*w + 5 = -v + 18*w for v.
-3
{"question": "Solve 5*d - 3*u = 32, 0 = -3*d + 2*u - 2 + 22 for d.", "answer": "4"}
Solve 5*d - 3*u = 32, 0 = -3*d + 2*u - 2 + 22 for d.
4
{"question": "Simplify ((sqrt(54)/(-3*sqrt(3)))/(sqrt(42)/sqrt(112) + sqrt(6)) - (5*sqrt(150)/sqrt(5))/(sqrt(810)*-1))**2.", "answer": "169/675"}
Simplify ((sqrt(54)/(-3*sqrt(3)))/(sqrt(42)/sqrt(112) + sqrt(6)) - (5*sqrt(150)/sqrt(5))/(sqrt(810)*-1))**2.
169/675
{"question": "Let k = -4.3 + 4.271. Let n = 0.029 + k. Let s = -0.2 + n. Do 22 and s have different values?", "answer": "True"}
Let k = -4.3 + 4.271. Let n = 0.029 + k. Let s = -0.2 + n. Do 22 and s have different values?
True
{"question": "What is the greatest common factor of 5129212 and 22704?", "answer": "1892"}
What is the greatest common factor of 5129212 and 22704?
1892
{"question": "What is 386 minutes before 6:29 AM?", "answer": "12:03 AM"}
What is 386 minutes before 6:29 AM?
12:03 AM
{"question": "What are the prime factors of 5565371?", "answer": "7, 53, 2143"}
What are the prime factors of 5565371?
7, 53, 2143
{"question": "-88672656 divided by 4", "answer": "-22168164"}
-88672656 divided by 4
-22168164
{"question": "Let q = 2.5 - 3. Let a be (2*(-2)/(-3))/(17*234/663). Put -5/2, a, q, -7 in ascending order.", "answer": "-7, -5/2, q, a"}
Let q = 2.5 - 3. Let a be (2*(-2)/(-3))/(17*234/663). Put -5/2, a, q, -7 in ascending order.
-7, -5/2, q, a
{"question": "What is the ten thousands digit of 1244047?", "answer": "4"}
What is the ten thousands digit of 1244047?
4
{"question": "What is -160 (base 15) in base 2?", "answer": "-100111011"}
What is -160 (base 15) in base 2?
-100111011
{"question": "Let f be 1 + 10 + (-2)/(-1). Suppose 26 = -4*h + 66. Find n such that -50*n**2 - 5 - h*n - 50*n - f + 0 = 0.", "answer": "-3/5"}
Let f be 1 + 10 + (-2)/(-1). Suppose 26 = -4*h + 66. Find n such that -50*n**2 - 5 - h*n - 50*n - f + 0 = 0.
-3/5
{"question": "What is the common denominator of 11/4652 and 51/12488?", "answer": "14523544"}
What is the common denominator of 11/4652 and 51/12488?
14523544
{"question": "Evaluate 649*6*(-38)/2508.", "answer": "-59"}
Evaluate 649*6*(-38)/2508.
-59
{"question": "Factor 3*m**2/2 + 12*m - 30.", "answer": "3*(m - 2)*(m + 10)/2"}
Factor 3*m**2/2 + 12*m - 30.
3*(m - 2)*(m + 10)/2
{"question": "Let v(d) = 4*d**2 + 51*d - 204. Let r be v(-16). Let h be (4/6)/((-3)/(-9)). Solve -h*i = -r*b - 16 - 8, -5 = b for i.", "answer": "2"}
Let v(d) = 4*d**2 + 51*d - 204. Let r be v(-16). Let h be (4/6)/((-3)/(-9)). Solve -h*i = -r*b - 16 - 8, -5 = b for i.
2
{"question": "Which is the smallest value? (a) -6 (b) 3 (c) 2.64 (d) -0.1 (e) 2 (f) -2 (g) 0.5", "answer": "a"}
Which is the smallest value? (a) -6 (b) 3 (c) 2.64 (d) -0.1 (e) 2 (f) -2 (g) 0.5
a
{"question": "Suppose 5*g - 68 = -43. Which is the third biggest value? (a) g (b) -5 (c) 1.8 (d) -1", "answer": "d"}
Suppose 5*g - 68 = -43. Which is the third biggest value? (a) g (b) -5 (c) 1.8 (d) -1
d
{"question": "Sort 2/23, 0, 19, 2/315, -15/8 in ascending order.", "answer": "-15/8, 0, 2/315, 2/23, 19"}
Sort 2/23, 0, 19, 2/315, -15/8 in ascending order.
-15/8, 0, 2/315, 2/23, 19
{"question": "Collect the terms in -122*d**2 + 185*d**2 - 122*d**2 - 75*d**2.", "answer": "-134*d**2"}
Collect the terms in -122*d**2 + 185*d**2 - 122*d**2 - 75*d**2.
-134*d**2
{"question": "Convert 4.165229 micrometers to millimeters.", "answer": "0.004165229"}
Convert 4.165229 micrometers to millimeters.
0.004165229
{"question": "Solve -154*n - 152*n = -308*n + 4*v - 60, 29*n + 3*v = 167 for n.", "answer": "4"}
Solve -154*n - 152*n = -308*n + 4*v - 60, 29*n + 3*v = 167 for n.
4
{"question": "Suppose -5 = -3*v - 2*v, -v - 749 = -3*q. Suppose -4*j + 4*s + 360 = 0, -3*j + q = -0*j + s. Is j prime?", "answer": "False"}
Suppose -5 = -3*v - 2*v, -v - 749 = -3*q. Suppose -4*j + 4*s + 360 = 0, -3*j + q = -0*j + s. Is j prime?
False
{"question": "What is the hundreds digit of 113946764?", "answer": "7"}
What is the hundreds digit of 113946764?
7
{"question": "Calculate the smallest common multiple of 402 and (-3)/(-4) + 1/((-88)/(-4686)).", "answer": "3618"}
Calculate the smallest common multiple of 402 and (-3)/(-4) + 1/((-88)/(-4686)).
3618
{"question": "Suppose -5*x - 117 = -14*x. Suppose 6*u + 1169 = x*u. Is u prime?", "answer": "True"}
Suppose -5*x - 117 = -14*x. Suppose 6*u + 1169 = x*u. Is u prime?
True
{"question": "Add -11.19032 and 6415507.", "answer": "6415495.80968"}
Add -11.19032 and 6415507.
6415495.80968
{"question": "What is 10386446 to the power of 1/3, to the nearest integer?", "answer": "218"}
What is 10386446 to the power of 1/3, to the nearest integer?
218
{"question": "Which is smaller: 3091332 or 15456659/5?", "answer": "15456659/5"}
Which is smaller: 3091332 or 15456659/5?
15456659/5
{"question": "What is (1/6)/((-720)/10080)?", "answer": "-7/3"}
What is (1/6)/((-720)/10080)?
-7/3
{"question": "What is -10 divided by -3749253?", "answer": "10/3749253"}
What is -10 divided by -3749253?
10/3749253
{"question": "Suppose 3*h - 72 = -4*b + b, -3*h + 75 = 2*b. Let l = -194 - -212. What is the highest common divisor of h and l?", "answer": "9"}
Suppose 3*h - 72 = -4*b + b, -3*h + 75 = 2*b. Let l = -194 - -212. What is the highest common divisor of h and l?
9
{"question": "Two letters picked without replacement from {g: 2, c: 3, f: 2, x: 4, q: 3, d: 4}. What is prob of sequence dx?", "answer": "8/153"}
Two letters picked without replacement from {g: 2, c: 3, f: 2, x: 4, q: 3, d: 4}. What is prob of sequence dx?
8/153
{"question": "Is 63685704 a multiple of 6?", "answer": "True"}
Is 63685704 a multiple of 6?
True
{"question": "Calculate the common denominator of -54/1309 and (-316)/1540 - ((-1612)/310 - (-6 - -1)).", "answer": "6545"}
Calculate the common denominator of -54/1309 and (-316)/1540 - ((-1612)/310 - (-6 - -1)).
6545
{"question": "Sort 13, -11, 1766 in decreasing order.", "answer": "1766, 13, -11"}
Sort 13, -11, 1766 in decreasing order.
1766, 13, -11
{"question": "Round 0.00133468266 to six decimal places.", "answer": "0.001335"}
Round 0.00133468266 to six decimal places.
0.001335
{"question": "What is the u'th term of 35, 31, 25, 17, 7, -5, -19?", "answer": "-u**2 - u + 37"}
What is the u'th term of 35, 31, 25, 17, 7, -5, -19?
-u**2 - u + 37
{"question": "Which is the second smallest value? (a) 0.2 (b) 3/4 (c) 20 (d) -2.2 (e) 2/7 (f) -4", "answer": "d"}
Which is the second smallest value? (a) 0.2 (b) 3/4 (c) 20 (d) -2.2 (e) 2/7 (f) -4
d
{"question": "Solve 3*x = -75*d - 2640, 4*x - 100 = 3*d + 2*x - 5 for d.", "answer": "-35"}
Solve 3*x = -75*d - 2640, 4*x - 100 = 3*d + 2*x - 5 for d.
-35
{"question": "Suppose -2340 + 2329 = 11*m. Put -26, m, 3 in decreasing order.", "answer": "3, m, -26"}
Suppose -2340 + 2329 = 11*m. Put -26, m, 3 in decreasing order.
3, m, -26
{"question": "What are the prime factors of 8?", "answer": "2"}
What are the prime factors of 8?
2
{"question": "In base 12, what is -202 + 375?", "answer": "173"}
In base 12, what is -202 + 375?
173
{"question": "Find the common denominator of -10/17729101 and -39/671.", "answer": "195020111"}
Find the common denominator of -10/17729101 and -39/671.
195020111
{"question": "Suppose -44 = -4*u + 4*j, 3*j = 2*u - 12 - 9. Suppose 4*a - 43 = 17. Let d = a + -10. What is the remainder when u is divided by d?", "answer": "2"}
Suppose -44 = -4*u + 4*j, 3*j = 2*u - 12 - 9. Suppose 4*a - 43 = 17. Let d = a + -10. What is the remainder when u is divided by d?
2
{"question": "Suppose -59*o - 192 = -75*o. Suppose 4*s + o = 0, -2*d + 319 = 7*s - 4*s. What is the hundreds digit of d?", "answer": "1"}
Suppose -59*o - 192 = -75*o. Suppose 4*s + o = 0, -2*d + 319 = 7*s - 4*s. What is the hundreds digit of d?
1
{"question": "What is the greatest common divisor of 25 and 7075?", "answer": "25"}
What is the greatest common divisor of 25 and 7075?
25
{"question": "Sort 447, 1, 5, -2, -5 in descending order.", "answer": "447, 5, 1, -2, -5"}
Sort 447, 1, 5, -2, -5 in descending order.
447, 5, 1, -2, -5
{"question": "Suppose 0 = 9*c - 5*c - 516. What is the tens digit of c?", "answer": "2"}
Suppose 0 = 9*c - 5*c - 516. What is the tens digit of c?
2
{"question": "Suppose 6*w - 2*w - 36 = 0. Let g(z) = 12*z**2 + 158*z - 999. Calculate the lowest common multiple of g(-18) and w.", "answer": "45"}
Suppose 6*w - 2*w - 36 = 0. Let g(z) = 12*z**2 + 158*z - 999. Calculate the lowest common multiple of g(-18) and w.
45
{"question": "What is the cube root of 410200255 to the nearest integer?", "answer": "743"}
What is the cube root of 410200255 to the nearest integer?
743
{"question": "Let y(o) be the second derivative of -27*o**6/10 + 44*o**4/3 - 193*o. What is the third derivative of y(t) wrt t?", "answer": "-1944*t"}
Let y(o) be the second derivative of -27*o**6/10 + 44*o**4/3 - 193*o. What is the third derivative of y(t) wrt t?
-1944*t
{"question": "Does 337 divide 13437201?", "answer": "True"}
Does 337 divide 13437201?
True