instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the fourth root of 51189 to the nearest integer?\n | 15\n | ibivibiv/math_instruct | |
Suppose -9*n + 5 = -8*n. Let f be (-160)/(-50) + 4/n. Suppose -3*y + 5*y = f. List the prime factors of y.\n | 2\n | ibivibiv/math_instruct | |
Let s = 833635.9991 - 833679. Let i = -43 - s. Round i to three decimal places.\n | 0.001\n | ibivibiv/math_instruct | |
What is the millions digit of 6102359?\n | 6\n | ibivibiv/math_instruct | |
Expand -2*m**3 + 2*m**3 - m**5 + (5*m**4 - 5*m**4 - m**4)*(-2*m + 5*m - 5*m) + 7*m**5 + 19*m**5 + 11*m**5.\n | 38*m**5\n | ibivibiv/math_instruct | |
Put -146, 5, -13 in increasing order.\n | -146, -13, 5\n | ibivibiv/math_instruct | |
Put -5, -1/10, 0.0863 in decreasing order.\n | 0.0863, -1/10, -5\n | ibivibiv/math_instruct | |
Calculate (-2 - 1) + -1 - (-60 - -60).\n | -4\n | ibivibiv/math_instruct | |
Is 23981 prime?\n | True\n | ibivibiv/math_instruct | |
Let c(o) be the second derivative of o**4/12 - 3*o**3/2 + o. Let b be c(9). Suppose d + b = 20. Is d a multiple of 20?\n | True\n | ibivibiv/math_instruct | |
Is 48 a factor of 31008?\n | True\n | ibivibiv/math_instruct | |
Let u = 845 + -841. Solve -4 = 4*l + z, u*l + 8 = -3*z + 4 for l.\n | -1\n | ibivibiv/math_instruct | |
In base 5, what is -3343033 + -104?\n | -3343142\n | ibivibiv/math_instruct | |
What is ((-150)/8)/(-3 - (22575/(-200))/43)?\n | 50\n | ibivibiv/math_instruct | |
Let s = -143 - -47. Let t = s + 95.6. Let g = -7.8 + 0.8. Sort g, 0.3, t in decreasing order.\n | 0.3, t, g\n | ibivibiv/math_instruct | |
Simplify ((1*sqrt(475)*1 + -4*(-2 + sqrt(475)))*6)**2.\n | -8640*sqrt(19) + 156204\n | ibivibiv/math_instruct | |
Is 6 a factor of (-1)/(-2)*(-3 - (-1026)/6)?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in -t - 262*t**3 + 2*t**3 + t.\n | -260*t**3\n | ibivibiv/math_instruct | |
What is 92 minutes before 7:38 AM?\n | 6:06 AM\n | ibivibiv/math_instruct | |
What is -204 plus 136?\n | -68\n | ibivibiv/math_instruct | |
Let f(c) = -5*c. Let s(w) = 7 - 2*w - 5*w + 6*w. Let z be s(8). Let a be f(z). What is the second smallest value in a, -2, 0.1?\n | 0.1\n | ibivibiv/math_instruct | |
Let t = 3.3 - 3. Let i = t - 0.4. Which is the biggest value? (a) -0.3 (b) 2/9 (c) i\n | b\n | ibivibiv/math_instruct | |
Find the common denominator of -3/814 and 145/132.\n | 4884\n | ibivibiv/math_instruct | |
Let g be 14/(30/32 - 1). Let n = -110 - g. Suppose -6*q + 2112 + n = 0. Is q a composite number?\n | True\n | ibivibiv/math_instruct | |
How many micrometers are there in twenty-six fifths of a centimeter?\n | 52000\n | ibivibiv/math_instruct | |
Calculate prob of sequence kjf when three letters picked without replacement from {f: 13, k: 1, j: 3}.\n | 13/1360\n | ibivibiv/math_instruct | |
Let h(n) = -32 - 30 + 34 - 3254473*n + 860027*n. Let k be h(-18). What is k rounded to the nearest one million?\n | 43000000\n | ibivibiv/math_instruct | |
Let c(z) = 2*z**2. Let f(g) be the second derivative of g**5/6 + g**2 + 5*g. Let m(d) be the first derivative of f(d). Give m(c(v)).\n | 40*v**4\n | ibivibiv/math_instruct | |
0.003 - 7001\n | -7000.997\n | ibivibiv/math_instruct | |
Suppose -4*k + 0*g = g - 177, 5*k + 3*g - 223 = 0. Suppose 0 = -0*j - 3*j - a + k, -3*j + 2*a = -38. Suppose 4*x = 38 + j. What is the units digit of x?\n | 3\n | ibivibiv/math_instruct | |
Expand -12*h + 2*h - 13*h - 1 + (4*h - 4*h - h)*(0 + 5 - 4).\n | -24*h - 1\n | ibivibiv/math_instruct | |
Let q(c) = c**3 + 76*c**2 + 970*c + 161. Let s be q(-16). Is 1/3696 greater than or equal to s?\n | False\n | ibivibiv/math_instruct | |
Round 1378120530 to the nearest one million.\n | 1378000000\n | ibivibiv/math_instruct | |
Let h = 129 - 382/3. Suppose -17*s = -13*s - 16. Let b be (16/(-36))/(s/6). What is the second biggest value in b, -4, h?\n | b\n | ibivibiv/math_instruct | |
In base 4, what is 23003 - 1?\n | 23002\n | ibivibiv/math_instruct | |
b"What is the ith term of 123347, 247490, 371643, 495812, 620003, 744222, 868475?\n" | i**3 - i**2 + 124139*i - 792\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {r: 6, z: 2, w: 1, u: 2, h: 1, e: 3}. Give prob of picking 1 u and 3 r.\n | 8/273\n | ibivibiv/math_instruct | |
Simplify (l/(l/l**38*l))/(l**(23/4)*l) assuming l is positive.\n | l**(121/4)\n | ibivibiv/math_instruct | |
Factor m**3/5 + 23*m**2/5 - 605*m + 9125.\n | (m - 25)**2*(m + 73)/5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {x: 2, m: 1, n: 4, i: 1}. What is prob of picking 1 i and 1 x?\n | 1/14\n | ibivibiv/math_instruct | |
Suppose -14 = -3*b - o, 0*o - 17 = -4*b - 3*o. Let -z**4 - 4*z**2 - z - 2*z**3 + 2*z**5 + b*z**4 + 0*z**3 + z**5 = 0. What is z?\n | -1, -1/3, 0, 1\n | ibivibiv/math_instruct | |
Let j(z) = -11. Let g(r) = 9. Let n(u) = 5*g(u) + 4*j(u). Let s(i) = i**2 + 7*i + 4. Let h(w) = -3*n(w) + s(w). Calculate h(-5).\n | -9\n | ibivibiv/math_instruct | |
Let h = 1 - 5/3. Which is the closest to -9? (a) -2 (b) 5 (c) h\n | a\n | ibivibiv/math_instruct | |
Suppose -4*g + 9496 = -3*p, -5*p - 19 = 1. List the prime factors of g.\n | 2371\n | ibivibiv/math_instruct | |
Let i = 2 - 6. Put 4, -5, i in decreasing order.\n | 4, i, -5\n | ibivibiv/math_instruct | |
Suppose 126 = -4*u + 5726. Suppose 22*b - u = 448. Let r = -18 - -30. Calculate the greatest common divisor of b and r.\n | 12\n | ibivibiv/math_instruct | |
Rearrange -606*q**3 - 6*q + 0*q**2 + 608*q**3 - 3 - q**2 to the form j*q**3 + c*q + b + u*q**2 and give j.\n | 2\n | ibivibiv/math_instruct | |
In base 11, what is -5 - 1460?\n | -1465\n | ibivibiv/math_instruct | |
Is 1189 a factor of 239971114?\n | True\n | ibivibiv/math_instruct | |
Convert 4 (base 12) to base 11.\n | 4\n | ibivibiv/math_instruct | |
Total of -3795975 and -69.5.\n | -3796044.5\n | ibivibiv/math_instruct | |
Solve 0 = -86*o - 111 + 25 for o.\n | -1\n | ibivibiv/math_instruct | |
Let n(s) = -243*s. Let b(a) = 2*a + 5 + 2 - 7 + 0*a. Calculate b(n(m)).\n | -486*m\n | ibivibiv/math_instruct | |
Let d(h) = -h**2 + 1. Let s(t) = -1. Let n(k) = -3*d(k) - 3*s(k). Let f(c) be the second derivative of -7*c**3/2 + c + 76. Give f(n(g)).\n | -63*g**2\n | ibivibiv/math_instruct | |
Let z(d) = d**3 + 7*d**2 - 17*d + 14. Let r be (-14839)/1562 + 1/2 + 0. Determine z(r).\n | 5\n | ibivibiv/math_instruct | |
Let v(t) = -2*t + 1. Let x(h) = -h**2 + 23*h - 8. Calculate 2*v(u) + x(u).\n | -u**2 + 19*u - 6\n | ibivibiv/math_instruct | |
Let q(z) = -5*z + 5. Let y be q(4). Let v be y/(-5) - 10/2. Is 11 a factor of v/(-7) + 225/21?\n | True\n | ibivibiv/math_instruct | |
Is 430 even?\n | True\n | ibivibiv/math_instruct | |
22270 divided by -4454\n | -5\n | ibivibiv/math_instruct | |
What is the units digit of 6214341?\n | 1\n | ibivibiv/math_instruct | |
Express -5722 - y**2 + 5*y**2 + 5717 - 28*y in the form i*y**2 + s + h*y and give s.\n | -5\n | ibivibiv/math_instruct | |
How many hours are there in 59/3 of a day?\n | 472\n | ibivibiv/math_instruct | |
What is the closest to -1 in -0.8, -1, 0.4?\n | -1\n | ibivibiv/math_instruct | |
Is 156167534 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let r(x) = x + 5. Let i be r(-3). Suppose 4*u + 2 - 22 = -3*y, i*y - 8 = 0. Solve q - 3 = -u for q.\n | 1\n | ibivibiv/math_instruct | |
List the prime factors of (-20)/35 + (243800/56 - -2).\n | 5, 13, 67\n | ibivibiv/math_instruct | |
Let o be ((-1)/(-3))/(8/(-168)). Sort o, -3, -1.\n | o, -3, -1\n | ibivibiv/math_instruct | |
Let i = -191 - -190.5. What is the smallest value in -12, -1/7, i?\n | -12\n | ibivibiv/math_instruct | |
What is the tens digit of 141428585?\n | 8\n | ibivibiv/math_instruct | |
Sort -31, 1, 25 in ascending order.\n | -31, 1, 25\n | ibivibiv/math_instruct | |
Suppose 11*g = 14*g - 981. List the prime factors of g.\n | 3, 109\n | ibivibiv/math_instruct | |
Let s = 2 + 0. Let z = s - -1. Solve z*b - b = -6 for b.\n | -3\n | ibivibiv/math_instruct | |
What is next in -955, -1872, -2769, -3640, -4479, -5280?\n | -6037\n | ibivibiv/math_instruct | |
Collect the terms in 1052 - 38*b + 15*b - 1049 - 33*b**2.\n | -33*b**2 - 23*b + 3\n | ibivibiv/math_instruct | |
Let o = -8211/11 + 747. Let b = -1.87 - -1.94. What is the smallest value in o, 4, 5, b?\n | b\n | ibivibiv/math_instruct | |
Is 3736108479 a multiple of 51?\n | True\n | ibivibiv/math_instruct | |
What is 169093810 rounded to the nearest 1000000?\n | 169000000\n | ibivibiv/math_instruct | |
What is 37327.33l in millilitres?\n | 37327330\n | ibivibiv/math_instruct | |
List the prime factors of 43246.\n | 2, 7, 3089\n | ibivibiv/math_instruct | |
Simplify ((i/i**1)**19/(i**(-1)/i**(-3)))/((i/(i/(i**(2/5)/i))*i)**(-27)*(i*i/(i*i*i**3))/(i*i**3*i)) assuming i is positive.\n | i**(84/5)\n | ibivibiv/math_instruct | |
Let x be 1 + (-4)/3 + (-1075)/(-75). Solve -v + 5 = a + 1, -a + 5*v = x for a.\n | 1\n | ibivibiv/math_instruct | |
Differentiate 134*p*r**3 + 165708*p + 937722400*r**3 wrt p.\n | 134*r**3 + 165708\n | ibivibiv/math_instruct | |
What comes next: 209741, 839306, 1888573, 3357536, 5246189, 7554526, 10282541, 13430228?\n | 16997581\n | ibivibiv/math_instruct | |
-3 - (-1 + 2) - (2 + -2)\n | -4\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -0.52 (b) 0.1 (c) 1/3 (d) -6.20503 (e) -1\n | d\n | ibivibiv/math_instruct | |
Simplify (2 + 2*(sqrt(88)/sqrt(2)*-4 + sqrt(308)/(sqrt(21)/sqrt(3)) + 4 + (sqrt(44) - sqrt(396) - sqrt(44))*-1 + 5))**2.\n | 400\n | ibivibiv/math_instruct | |
In base 15, what is -7 + 7?\n | 0\n | ibivibiv/math_instruct | |
Let d be 2*2/(16/12). Suppose 0 = -d*j + 7*j - 60. What is the units digit of j?\n | 5\n | ibivibiv/math_instruct | |
Let x(h) = 73*h + 2 - 84*h + 2 + h**2. What is x(10)?\n | -6\n | ibivibiv/math_instruct | |
Let i(q) = q**2 - 53*q + 693. Determine i(29).\n | -3\n | ibivibiv/math_instruct | |
Suppose 6*n - 624 = 3*n. Suppose 4 + 8 = 3*c. Find the second derivative of -n + c*s**4 - 7*s + 208 wrt s.\n | 48*s**2\n | ibivibiv/math_instruct | |
Let b(r) = -r**3 + r**2 - 2*r + 1. Let j = -25 - -23. What are the prime factors of b(j)?\n | 17\n | ibivibiv/math_instruct | |
Three letters picked without replacement from sspskkspsk. What is prob of sequence sks?\n | 1/12\n | ibivibiv/math_instruct | |
How many minutes are there between 6:30 PM and 6:50 PM?\n | 20\n | ibivibiv/math_instruct | |
Solve 0 = -4*k - 20, 14 = -10*r + 12*r - 4*k for r.\n | -3\n | ibivibiv/math_instruct | |
Is -3/208856057 greater than -1?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 929822?\n | 2, 19, 24469\n | ibivibiv/math_instruct | |
Expand (-7*l + 7*l + 10*l)*(263*l - 46 + 261*l - 523*l) - 2 - 2*l**2 + 0*l**2 + 1.\n | 8*l**2 - 460*l - 1\n | ibivibiv/math_instruct | |
Let j(w) = -21*w - 20*w + 74*w - 38*w + 28. Let z(c) = c - 7. Determine -2*j(d) - 9*z(d).\n | d + 7\n | ibivibiv/math_instruct | |
Differentiate -344342*g - 3996 with respect to g.\n | -344342\n | ibivibiv/math_instruct |
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