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": "What is the value of (8/(-16))/((-3)/54)?", "answer": "9"}
What is the value of (8/(-16))/((-3)/54)?
9
{"question": "Which is the nearest to -8101/6? (a) 0 (b) 3 (c) 2/19 (d) 1 (e) -1/90", "answer": "e"}
Which is the nearest to -8101/6? (a) 0 (b) 3 (c) 2/19 (d) 1 (e) -1/90
e
{"question": "What is the third root of 17460534 to the nearest integer?", "answer": "259"}
What is the third root of 17460534 to the nearest integer?
259
{"question": "Is 7169 prime?", "answer": "False"}
Is 7169 prime?
False
{"question": "What is the hundred millions digit of 8466215396?", "answer": "4"}
What is the hundred millions digit of 8466215396?
4
{"question": "Which is the third biggest value? (a) -91 (b) -0.2 (c) -6 (d) -0.4 (e) 2/3 (f) 5", "answer": "b"}
Which is the third biggest value? (a) -91 (b) -0.2 (c) -6 (d) -0.4 (e) 2/3 (f) 5
b
{"question": "Let f(w) = w**3 - 9*w**2 + 83*w - 274. What is f(4)?", "answer": "-22"}
Let f(w) = w**3 - 9*w**2 + 83*w - 274. What is f(4)?
-22
{"question": "What is -0.025466 minus -171400840?", "answer": "171400839.974534"}
What is -0.025466 minus -171400840?
171400839.974534
{"question": "List the prime factors of 38773.", "answer": "7, 29, 191"}
List the prime factors of 38773.
7, 29, 191
{"question": "Calculate 1*-14*(-56)/(-112).", "answer": "-7"}
Calculate 1*-14*(-56)/(-112).
-7
{"question": "In base 13, what is 2b2b15 - -5?", "answer": "2b2b1a"}
In base 13, what is 2b2b15 - -5?
2b2b1a
{"question": "Convert c636b (base 14) to base 2.", "answer": "1110100101110111011"}
Convert c636b (base 14) to base 2.
1110100101110111011
{"question": "Express 14 - 31 + 2*c**3 + 28*c + 19 as t*c**2 + o + i*c**3 + b*c and give o.", "answer": "2"}
Express 14 - 31 + 2*c**3 + 28*c + 19 as t*c**2 + o + i*c**3 + b*c and give o.
2
{"question": "Two letters picked without replacement from {m: 4, b: 4, u: 6}. What is prob of sequence um?", "answer": "12/91"}
Two letters picked without replacement from {m: 4, b: 4, u: 6}. What is prob of sequence um?
12/91
{"question": "5 times 37", "answer": "185"}
5 times 37
185
{"question": "Solve 0 = 57*i + 4*w - 452, w + 534 - 549 = -0*i - 2*i for i.", "answer": "8"}
Solve 0 = 57*i + 4*w - 452, w + 534 - 549 = -0*i - 2*i for i.
8
{"question": "Let i be (8 - 10)*(-13)/2. Solve -i - 7 = -5*l for l.", "answer": "4"}
Let i be (8 - 10)*(-13)/2. Solve -i - 7 = -5*l for l.
4
{"question": "Let m = 5 + -3. Let y be m/6*1/((-3)/(-27)). Suppose 0 = j - y*f + 3, -5*f + f + 7 = -j. Solve -5*z = -10, w + 4*z - 4 = j for w.", "answer": "5"}
Let m = 5 + -3. Let y be m/6*1/((-3)/(-27)). Suppose 0 = j - y*f + 3, -5*f + f + 7 = -j. Solve -5*z = -10, w + 4*z - 4 = j for w.
5
{"question": "0.1 - 1865", "answer": "-1864.9"}
0.1 - 1865
-1864.9
{"question": "Calculate the highest common divisor of 39745 and 455.", "answer": "5"}
Calculate the highest common divisor of 39745 and 455.
5
{"question": "Let t = -2299 - -2307. Does 5 divide t?", "answer": "False"}
Let t = -2299 - -2307. Does 5 divide t?
False
{"question": "What is the third root of 47861148 to the nearest integer?", "answer": "363"}
What is the third root of 47861148 to the nearest integer?
363
{"question": "Let q(m) be the second derivative of m**7/2520 - m**6/360 + m**5/24 - 7*m**4/6 + 9*m. Let h(l) be the third derivative of q(l). What is the tens digit of h(7)?", "answer": "4"}
Let q(m) be the second derivative of m**7/2520 - m**6/360 + m**5/24 - 7*m**4/6 + 9*m. Let h(l) be the third derivative of q(l). What is the tens digit of h(7)?
4
{"question": "Solve -4*n - 4*l = 80, -121616*n + 121612*n + l + 30 = 0 for n.", "answer": "2"}
Solve -4*n - 4*l = 80, -121616*n + 121612*n + l + 30 = 0 for n.
2
{"question": "Let t(k) = k**2 + 112*k - 2562. Give t(-132).", "answer": "78"}
Let t(k) = k**2 + 112*k - 2562. Give t(-132).
78
{"question": "Calculate the lowest common multiple of 480 and 560.", "answer": "3360"}
Calculate the lowest common multiple of 480 and 560.
3360
{"question": "How many milligrams are there in 4.12421 grams?", "answer": "4124.21"}
How many milligrams are there in 4.12421 grams?
4124.21
{"question": "Calculate -20 divided by 15.", "answer": "-4/3"}
Calculate -20 divided by 15.
-4/3
{"question": "In base 3, what is -1000220012211 - 101010?", "answer": "-1000220120221"}
In base 3, what is -1000220012211 - 101010?
-1000220120221
{"question": "Which is bigger: 7872 or 7854?", "answer": "7872"}
Which is bigger: 7872 or 7854?
7872
{"question": "Simplify (3*sqrt(2240) + sqrt(2240))/(sqrt(5) + sqrt(55)/(sqrt(55)/sqrt(5))).", "answer": "16*sqrt(7)"}
Simplify (3*sqrt(2240) + sqrt(2240))/(sqrt(5) + sqrt(55)/(sqrt(55)/sqrt(5))).
16*sqrt(7)
{"question": "-0.5*10229", "answer": "-5114.5"}
-0.5*10229
-5114.5
{"question": "How many decades are there in 78801.93 months?", "answer": "656.68275"}
How many decades are there in 78801.93 months?
656.68275
{"question": "List the prime factors of 368952.", "answer": "2, 3, 15373"}
List the prime factors of 368952.
2, 3, 15373
{"question": "Suppose k + 6 = -4*t, 0 = 5*k - 2*t + t - 12. Let y be (-2)/(-5) - 146/(-10). Suppose -4*g + y = g. Solve 7 = g*i + o - k, -2*i + 5*o = -6 for i.", "answer": "3"}
Suppose k + 6 = -4*t, 0 = 5*k - 2*t + t - 12. Let y be (-2)/(-5) - 146/(-10). Suppose -4*g + y = g. Solve 7 = g*i + o - k, -2*i + 5*o = -6 for i.
3
{"question": "Suppose 2*c = -0*c - 4. Let a(y) = y**3 - 2*y**2 + y. Let w be a(1). Suppose -f + 5*q + 18 = w, -7 = 2*q - 1. Put 1, c, f in descending order.", "answer": "f, 1, c"}
Suppose 2*c = -0*c - 4. Let a(y) = y**3 - 2*y**2 + y. Let w be a(1). Suppose -f + 5*q + 18 = w, -7 = 2*q - 1. Put 1, c, f in descending order.
f, 1, c
{"question": "Simplify (5 + (-1 + sqrt(468))**2 + 2)*-5.", "answer": "-2380 + 60*sqrt(13)"}
Simplify (5 + (-1 + sqrt(468))**2 + 2)*-5.
-2380 + 60*sqrt(13)
{"question": "Suppose -19*j = -59 - 55. Let v(d) be the second derivative of 13*d**3 - 75*d**2/2 + 10*d. Is v(j) a composite number?", "answer": "True"}
Suppose -19*j = -59 - 55. Let v(d) be the second derivative of 13*d**3 - 75*d**2/2 + 10*d. Is v(j) a composite number?
True
{"question": "Simplify (-3*6*(sqrt(99) + -2*sqrt(99)))/(1*(sqrt(225) - 2*sqrt(225)))*-3.", "answer": "54*sqrt(11)/5"}
Simplify (-3*6*(sqrt(99) + -2*sqrt(99)))/(1*(sqrt(225) - 2*sqrt(225)))*-3.
54*sqrt(11)/5
{"question": "Differentiate -12*q**4*r - 186173*q*r**2 - 4293910*r**2 wrt q.", "answer": "-48*q**3*r - 186173*r**2"}
Differentiate -12*q**4*r - 186173*q*r**2 - 4293910*r**2 wrt q.
-48*q**3*r - 186173*r**2
{"question": "Evaluate (-2*4/8)/((-9)/63).", "answer": "7"}
Evaluate (-2*4/8)/((-9)/63).
7
{"question": "Solve 19*o = 38 + 19 for o.", "answer": "3"}
Solve 19*o = 38 + 19 for o.
3
{"question": "What is next in -229, -232, -235, -238, -241?", "answer": "-244"}
What is next in -229, -232, -235, -238, -241?
-244
{"question": "How many minutes are there between 6:09 AM and 1:07 PM?", "answer": "418"}
How many minutes are there between 6:09 AM and 1:07 PM?
418
{"question": "Let m(d) = -7239*d + 4. Let f be m(-4). Suppose f = -9*s - 7*s. What is s rounded to the nearest 1000?", "answer": "-2000"}
Let m(d) = -7239*d + 4. Let f be m(-4). Suppose f = -9*s - 7*s. What is s rounded to the nearest 1000?
-2000
{"question": "Is 3/(-2)*12980/(-30) a prime number?", "answer": "False"}
Is 3/(-2)*12980/(-30) a prime number?
False
{"question": "Is 1656662574 a multiple of 54?", "answer": "False"}
Is 1656662574 a multiple of 54?
False
{"question": "Suppose 5*y = 2*d - 21, 3*d + 0*d + 3 = -4*y. Suppose 0 = -d*n + 7 + 8. Suppose -4*c + b = -52 - 41, 0 = 4*c - n*b - 97. Is c a multiple of 11?", "answer": "False"}
Suppose 5*y = 2*d - 21, 3*d + 0*d + 3 = -4*y. Suppose 0 = -d*n + 7 + 8. Suppose -4*c + b = -52 - 41, 0 = 4*c - n*b - 97. Is c a multiple of 11?
False
{"question": "Solve 247*m + 1487 = 50*l - 49*l, -4*l = 4*m + 4 for m.", "answer": "-6"}
Solve 247*m + 1487 = 50*l - 49*l, -4*l = 4*m + 4 for m.
-6
{"question": "42.15736 + 1", "answer": "43.15736"}
42.15736 + 1
43.15736
{"question": "What is 388 minutes before 10:40 PM?", "answer": "4:12 PM"}
What is 388 minutes before 10:40 PM?
4:12 PM
{"question": "Calculate 7 + -1 + -3 - 4 - -5.", "answer": "4"}
Calculate 7 + -1 + -3 - 4 - -5.
4
{"question": "Simplify (3*sqrt(117) + sqrt(13) + (sqrt(208) - (sqrt(208) + sqrt(208)*1))**2)*6 + ((sqrt(104) - -2*sqrt(104))*6 + sqrt(104))/((1*sqrt(16))/sqrt(2)).", "answer": "79*sqrt(13) + 1248"}
Simplify (3*sqrt(117) + sqrt(13) + (sqrt(208) - (sqrt(208) + sqrt(208)*1))**2)*6 + ((sqrt(104) - -2*sqrt(104))*6 + sqrt(104))/((1*sqrt(16))/sqrt(2)).
79*sqrt(13) + 1248
{"question": "What is the thousands digit of 5038497?", "answer": "8"}
What is the thousands digit of 5038497?
8
{"question": "Express 3*j + 60*j - 579 + 580 in the form z + b*j and give b.", "answer": "63"}
Express 3*j + 60*j - 579 + 580 in the form z + b*j and give b.
63
{"question": "What is the highest common divisor of 147 and 16?", "answer": "1"}
What is the highest common divisor of 147 and 16?
1
{"question": "Is 294695851 a prime number?", "answer": "True"}
Is 294695851 a prime number?
True
{"question": "How many minutes are there between 1:29 PM and 11:36 PM?", "answer": "607"}
How many minutes are there between 1:29 PM and 11:36 PM?
607
{"question": "Suppose 9*o - 29*o = 0. Solve 1 = -3*x - 4*a, o = x - 5*a + 3 + 10 for x.", "answer": "-3"}
Suppose 9*o - 29*o = 0. Solve 1 = -3*x - 4*a, o = x - 5*a + 3 + 10 for x.
-3
{"question": "Let z(l) = l**3 - 6*l**2 + 8*l + 52. Let i be 9 + (8 - -1) + 1 + 0. Is z(i) a composite number?", "answer": "True"}
Let z(l) = l**3 - 6*l**2 + 8*l + 52. Let i be 9 + (8 - -1) + 1 + 0. Is z(i) a composite number?
True
{"question": "Simplify -6*(sqrt(8)/sqrt(4) + -3).", "answer": "-6*sqrt(2) + 18"}
Simplify -6*(sqrt(8)/sqrt(4) + -3).
-6*sqrt(2) + 18
{"question": "Solve 5*h - 1 = -6 for h.", "answer": "-1"}
Solve 5*h - 1 = -6 for h.
-1
{"question": "In base 6, what is 11111 + -5?", "answer": "11102"}
In base 6, what is 11111 + -5?
11102
{"question": "Evaluate -14*(-280)/2352*(-126)/(-6).", "answer": "35"}
Evaluate -14*(-280)/2352*(-126)/(-6).
35
{"question": "Four letters picked without replacement from aataaaattt. Give prob of sequence ttat.", "answer": "1/35"}
Four letters picked without replacement from aataaaattt. Give prob of sequence ttat.
1/35
{"question": "Simplify (s**1)**(-49)*s**(-1)/s**(5/2)*((s*s**(-4))/s*s/s**(-2/3))/(s**(-6)*s**5) assuming s is positive.", "answer": "s**(-323/6)"}
Simplify (s**1)**(-49)*s**(-1)/s**(5/2)*((s*s**(-4))/s*s/s**(-2/3))/(s**(-6)*s**5) assuming s is positive.
s**(-323/6)
{"question": "Let i be 15/10*8/6. Let c(t) be the third derivative of -1/18*t**3 + 1/180*t**5 + 0 - 1/360*t**6 + 0*t + 1/72*t**4 - i*t**2. Factor c(h).", "answer": "-(h - 1)**2*(h + 1)/3"}
Let i be 15/10*8/6. Let c(t) be the third derivative of -1/18*t**3 + 1/180*t**5 + 0 - 1/360*t**6 + 0*t + 1/72*t**4 - i*t**2. Factor c(h).
-(h - 1)**2*(h + 1)/3
{"question": "Is 86 a factor of 946?", "answer": "True"}
Is 86 a factor of 946?
True
{"question": "Solve 314 - 370 = -28*d for d.", "answer": "2"}
Solve 314 - 370 = -28*d for d.
2
{"question": "Simplify (sqrt(27)/sqrt(9) + 0 + 5*sqrt(363) - ((sqrt(144)*1)/sqrt(12))/((-2*sqrt(44))/sqrt(11)))**2.", "answer": "38307/4"}
Simplify (sqrt(27)/sqrt(9) + 0 + 5*sqrt(363) - ((sqrt(144)*1)/sqrt(12))/((-2*sqrt(44))/sqrt(11)))**2.
38307/4
{"question": "1080 divided by 26921", "answer": "1080/26921"}
1080 divided by 26921
1080/26921
{"question": "Put -120.8, -1/3, 24/11 in ascending order.", "answer": "-120.8, -1/3, 24/11"}
Put -120.8, -1/3, 24/11 in ascending order.
-120.8, -1/3, 24/11
{"question": "Let -2*t**2/5 + 177267800*t - 19639920573025000 = 0. What is t?", "answer": "221584750"}
Let -2*t**2/5 + 177267800*t - 19639920573025000 = 0. What is t?
221584750
{"question": "Suppose 3*j + 2*o = -0*j - 10, -2*o = -5*j + 10. Solve 0 = 2*k - 5*w, j = -4*k + 2*w - 7*w - 30 for k.", "answer": "-5"}
Suppose 3*j + 2*o = -0*j - 10, -2*o = -5*j + 10. Solve 0 = 2*k - 5*w, j = -4*k + 2*w - 7*w - 30 for k.
-5
{"question": "Solve 2*r - 4*q = -342 + 258, r = 4*q - 80 for r.", "answer": "-4"}
Solve 2*r - 4*q = -342 + 258, r = 4*q - 80 for r.
-4
{"question": "What is 57/5 of a microsecond in nanoseconds?", "answer": "11400"}
What is 57/5 of a microsecond in nanoseconds?
11400
{"question": "Let n = -30 - 5. Let g = 28 + n. Let r be 16 + g/((-28)/(-8)). Solve -5*v + r = 4 for v.", "answer": "2"}
Let n = -30 - 5. Let g = 28 + n. Let r be 16 + g/((-28)/(-8)). Solve -5*v + r = 4 for v.
2
{"question": "Let w(k) = k - 65. Determine w(0).", "answer": "-65"}
Let w(k) = k - 65. Determine w(0).
-65
{"question": "Let o = -5.3 - -10.7. Let w = -5 + o. Let c = -3 + 3. Put w, c, 0.1 in descending order.", "answer": "w, 0.1, c"}
Let o = -5.3 - -10.7. Let w = -5 + o. Let c = -3 + 3. Put w, c, 0.1 in descending order.
w, 0.1, c
{"question": "Let b(f) = -f**3 - f. Suppose -31*a - 4 = -35*a. Let s(v) = 105*v**3 + 6*v - 70. Let c(w) = a*s(w) + 6*b(w). What is the derivative of c(o) wrt o?", "answer": "297*o**2"}
Let b(f) = -f**3 - f. Suppose -31*a - 4 = -35*a. Let s(v) = 105*v**3 + 6*v - 70. Let c(w) = a*s(w) + 6*b(w). What is the derivative of c(o) wrt o?
297*o**2
{"question": "Factor 2*b**2/5 - 155826*b/5 + 311644/5.", "answer": "2*(b - 77911)*(b - 2)/5"}
Factor 2*b**2/5 - 155826*b/5 + 311644/5.
2*(b - 77911)*(b - 2)/5
{"question": "What is the greatest common factor of 78 and 1482?", "answer": "78"}
What is the greatest common factor of 78 and 1482?
78
{"question": "Which is the closest to -1? (a) 1/5 (b) -0.03 (c) -2", "answer": "b"}
Which is the closest to -1? (a) 1/5 (b) -0.03 (c) -2
b
{"question": "What is the biggest value in -0.4, -0.1, -9/4, 3?", "answer": "3"}
What is the biggest value in -0.4, -0.1, -9/4, 3?
3
{"question": "How many minutes are there in 16.662387us?", "answer": "0.00000027770645"}
How many minutes are there in 16.662387us?
0.00000027770645
{"question": "Let c = 428 - 305. Suppose 78 = o - 4*k, 177 = -48*o + 52*o - k. What is the remainder when c is divided by o?", "answer": "39"}
Let c = 428 - 305. Suppose 78 = o - 4*k, 177 = -48*o + 52*o - k. What is the remainder when c is divided by o?
39
{"question": "Evaluate 48 - -30 - 34 - 41.", "answer": "3"}
Evaluate 48 - -30 - 34 - 41.
3
{"question": "Let l(w) = w - 19. Let y be l(-9). Let k = 33 + y. Suppose -4*v - k*o + 20 + 1 = 0, -5*v - 15 = -2*o. What is the second smallest value in v, 5, -0.4?", "answer": "-0.4"}
Let l(w) = w - 19. Let y be l(-9). Let k = 33 + y. Suppose -4*v - k*o + 20 + 1 = 0, -5*v - 15 = -2*o. What is the second smallest value in v, 5, -0.4?
-0.4
{"question": "Evaluate (1/4)/(-1) - ((-1222209)/(-316))/(-191).", "answer": "20"}
Evaluate (1/4)/(-1) - ((-1222209)/(-316))/(-191).
20
{"question": "Let r be 9/(-15) + 23/5. What is the remainder when ((-231)/(-14))/(3/r) is divided by 12?", "answer": "10"}
Let r be 9/(-15) + 23/5. What is the remainder when ((-231)/(-14))/(3/r) is divided by 12?
10
{"question": "Let h(t) be the third derivative of t**6/60 - t**4/24 + t**3/6 - 2*t**2. Let z be h(1). Factor -z + u**2 - u + 2.", "answer": "u*(u - 1)"}
Let h(t) be the third derivative of t**6/60 - t**4/24 + t**3/6 - 2*t**2. Let z be h(1). Factor -z + u**2 - u + 2.
u*(u - 1)
{"question": "Calculate the common denominator of -41/84 and 43/11004.", "answer": "11004"}
Calculate the common denominator of -41/84 and 43/11004.
11004
{"question": "What is the third smallest value in -105, 2386, 0?", "answer": "2386"}
What is the third smallest value in -105, 2386, 0?
2386
{"question": "Let i(t) = t**2 + t - 3. Let m(w) = 11*w**2 + 2*w - 27. Determine 6*i(v) - m(v).", "answer": "-5*v**2 + 4*v + 9"}
Let i(t) = t**2 + t - 3. Let m(w) = 11*w**2 + 2*w - 27. Determine 6*i(v) - m(v).
-5*v**2 + 4*v + 9
{"question": "Calculate -1*(-1)/(-5)*0/9.", "answer": "0"}
Calculate -1*(-1)/(-5)*0/9.
0
{"question": "Expand 4*i + 2*i**5 + i - 4*i + (0 + 0 + i)*(9 - 8*i**4 - 9).", "answer": "-6*i**5 + i"}
Expand 4*i + 2*i**5 + i - 4*i + (0 + 0 + i)*(9 - 8*i**4 - 9).
-6*i**5 + i
{"question": "Let d(l) = -781*l - 543. What is d(-2)?", "answer": "1019"}
Let d(l) = -781*l - 543. What is d(-2)?
1019
{"question": "Solve -24*b - 3*w - 20 = -28*b, -3*b = -4*w - 22 for b.", "answer": "2"}
Solve -24*b - 3*w - 20 = -28*b, -3*b = -4*w - 22 for b.
2
{"question": "Let f = 1 - 1.02. Let x = 0.08 - f. Let w = 3.9 + x. Which is the third smallest value? (a) -1 (b) w (c) 5", "answer": "c"}
Let f = 1 - 1.02. Let x = 0.08 - f. Let w = 3.9 + x. Which is the third smallest value? (a) -1 (b) w (c) 5
c
{"question": "What is 185.2 take away 9.28?", "answer": "175.92"}
What is 185.2 take away 9.28?
175.92