instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
What is the result of the following expression?
(70.126 + 76.5) % (-42.717 * 74.592) | -3039.7205 | ibivibiv/math_instruct | |
List the prime factors of 66/(-10)*-3*(-15)/(-9).\n | 3, 11\n | ibivibiv/math_instruct | |
Expand (-m + 0*m + 3*m)*(-3*m**4 + 2*m**4 + 4*m**4) - m**5 + 8*m**2 - 8*m**2 + 2*m**4.\n | 5*m**5 + 2*m**4\n | ibivibiv/math_instruct | |
Let h = 4.500019 + -4.5. Round h to 5 dps.\n | 0.00002\n | ibivibiv/math_instruct | |
Let p(l) = 2*l**2 - 3238*l - 48785. Give p(-15).\n | 235\n | ibivibiv/math_instruct | |
What is next in -11, 4, 19, 34, 49, 64?\n | 79\n | ibivibiv/math_instruct | |
Let b(k) = 6 - 4*k - 9 - k**2 + 0*k**2 + 0*k**2. Let c be b(-3). Suppose q + c*q - 48 = 0. Is 24 a factor of q?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 36128?\n | 2, 1129\n | ibivibiv/math_instruct | |
Let b(r) = 1330*r**3 + 204*r**3 + 4*r + r - 227*r**3 - 8 - 10*r**2. Let j be b(4). Suppose 0 = 2*g - 7*g + j. What is g rounded to the nearest 1000?\n | 17000\n | ibivibiv/math_instruct | |
List the prime factors of 5569743.\n | 3, 1856581\n | ibivibiv/math_instruct | |
What is the square root of 5342 to the nearest integer?\n | 73\n | ibivibiv/math_instruct | |
Let a(f) be the second derivative of -11/3*f**3 - 6*f - 1/12*f**4 + 0 - 6*f**2. List the prime factors of a(-9).\n | 3, 5, 7\n | ibivibiv/math_instruct | |
Put -275, -58, -1 in descending order.\n | -1, -58, -275\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 8 and 7584.\n | 8\n | ibivibiv/math_instruct | |
Solve -679*l + 686*l - 42 = 0 for l.\n | 6\n | ibivibiv/math_instruct | |
What is the highest common divisor of 50 and 125?\n | 25\n | ibivibiv/math_instruct | |
Rearrange 3*k - 6*k**2 - k - 456 + 1101 to the form o*k**2 + q + w*k and give q.\n | 645\n | ibivibiv/math_instruct | |
Work out -131755.28176843 - -0.1.\n | -131755.18176843\n | ibivibiv/math_instruct | |
What is the hundreds digit of 4825733?\n | 7\n | ibivibiv/math_instruct | |
Suppose 5*r - 38 = 4*s + 47, 2*s = -r + 31. Suppose -186 + r = -5*v. Does 11 divide v?\n | True\n | ibivibiv/math_instruct | |
Express 0*a**2 - a**3 + 0*a**2 - 2*a**3 + 19*a**3 + 12*a**3 + (4*a + a - 4*a)*(-a**2 + 2*a**2 + a**2) in the form v*a**3 + z*a + l*a**2 + c and give v.\n | 30\n | ibivibiv/math_instruct | |
Let q = 64 + -16. What is the greatest common divisor of q and 132?\n | 12\n | ibivibiv/math_instruct | |
Let c be (4/(24/(-27)))/((-6)/8). Suppose 82 + c = 8*m. What is the greatest common factor of m and 55?\n | 11\n | ibivibiv/math_instruct | |
-25*11.3607\n | -284.0175\n | ibivibiv/math_instruct | |
What is prob of sequence vl when two letters picked without replacement from lwwltltwwvtwv?\n | 1/26\n | ibivibiv/math_instruct | |
Let d(r) = 174*r. Let f(z) = 2*z. Calculate f(d(o)).\n | 348*o\n | ibivibiv/math_instruct | |
Solve m = 14*m - 13 for m.\n | 1\n | ibivibiv/math_instruct | |
Express (3 - 3 - a + (-1 + 5 - 2)*(1 - a - 1) - a + 0*a + 0*a)*(2 + 0 + 0) + 3*a - 4*a + 3*a + (-2 + 0 + 0)*(16 - a - 16) in the form k + h*a and give h.\n | -4\n | ibivibiv/math_instruct | |
What is -132121 (base 9) in base 15?\n | -18bca\n | ibivibiv/math_instruct | |
b"What is the lth term of 870, 1552, 1964, 1968, 1426?\n" | -23*l**3 + 3*l**2 + 834*l + 56\n | ibivibiv/math_instruct | |
Given that 5 times the number of students in first grade who participated in a running competition is the same as the number of students in second grade participating in the match. If only 8 students were from the first grade, how many students participated in the running race in total? | If 5 times the number of first-grade students is equal to the number of second-grade students participating in the running competition, and there were 8 first-grade students, then the number of second-grade students is:
5 times 8 = 40 second-grade students
To find the total number of students who participated in the ... | ibivibiv/math_instruct | |
Let p = -2/97 + -144/2425. Let w be (-5 - -1)/(2 - 1). Let h = -5 - w. Is h >= p?\n | False\n | ibivibiv/math_instruct | |
Let m(l) = 174*l - 150. Let u be m(8). Suppose -12*n + 35*n - u = 0. Suppose 3*j = 4*j - g - 31, -4*g = 2*j - 44. What is the remainder when n is divided by j?\n | 26\n | ibivibiv/math_instruct | |
Which is the closest to 46.3? (a) 3 (b) 4/7 (c) 173\n | a\n | ibivibiv/math_instruct | |
Does 194 divide 8086639?\n | False\n | ibivibiv/math_instruct | |
Let w(i) = 113*i + 2 + 1 + 7 - 10. Let u(v) = -2*v**2. Determine u(w(j)).\n | -25538*j**2\n | ibivibiv/math_instruct | |
Let c = -135 + 183. Suppose 2*w - 11 = 1. What is the hundreds digit of ((-441)/w)/((-18)/c)?\n | 1\n | ibivibiv/math_instruct | |
Let t(x) = x**3 - 7*x**2 + 7*x + 2. Let l be t(2). Let i = -192 + 192. Sort l, -16, i in decreasing order.\n | i, l, -16\n | ibivibiv/math_instruct | |
Find the third derivative of -165*m**5 - 269*m**4 - 20*m**3 + 4*m**2 - 10*m - 153550.\n | -9900*m**2 - 6456*m - 120\n | ibivibiv/math_instruct | |
List the prime factors of 9149114.\n | 2, 13, 47, 7487\n | ibivibiv/math_instruct | |
Let t be 56 - 2*2/(-4). Let q = t - 51. Solve -5*k - n + 4*n = 11, -q = 2*n for k.\n | -4\n | ibivibiv/math_instruct | |
What is the next term in 19, 21, 19, 13, 3?\n | -11\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {g: 5, i: 9}. Give prob of sequence giii.\n | 15/143\n | ibivibiv/math_instruct | |
Let b be 88/10 + (-2)/(-10). Let u(q) = q**3 - 10*q**2 + q. Let x be u(10). Suppose -x*w + 50 = -5*w. Is w less than b?\n | False\n | ibivibiv/math_instruct | |
Put -19, 2/5, 2/3, -1/28, -11.9 in increasing order.\n | -19, -11.9, -1/28, 2/5, 2/3\n | ibivibiv/math_instruct | |
Factor -j**3/2 - 15*j**2/2 - 6*j + 14.\n | -(j - 1)*(j + 2)*(j + 14)/2\n | ibivibiv/math_instruct | |
Find the second derivative of 21071785*k**2 + 21528*k + 60 wrt k.\n | 42143570\n | ibivibiv/math_instruct | |
Suppose -3*v = -y + 18, v + 121 = 5*y + 31. Let g = 29 - y. Suppose 2*b = 5*u - g, u - 2*b = b - 3. Solve 2*s = u*d + 6, 0 = 2*s + 4*d - d - 6 for s.\n | 3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-19.0359 - -46.4218) + -13.4605 | 13.9254 | ibivibiv/math_instruct | |
Calculate the highest common factor of 2 and 38297712.\n | 2\n | ibivibiv/math_instruct | |
Round 0.00028352755 to 5 dps.\n | 0.00028\n | ibivibiv/math_instruct | |
Let i(a) = 2*a - 2. Let z(l) = l**2 - 3*l + 4. Let n be z(3). Suppose 0 = -5*s + 24 - n. Suppose -u = s*u + 10. Give i(u).\n | -6\n | ibivibiv/math_instruct | |
Round -0.0185025776 to 5 dps.\n | -0.0185\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 37 and 8399?\n | 37\n | ibivibiv/math_instruct | |
What is the second derivative of -9*o**5 + 3632*o**4 - 28445*o?\n | -180*o**3 + 43584*o**2\n | ibivibiv/math_instruct | |
Suppose 4*z = 10*z - 78. Suppose -d - z = 3*w, -9 + 4 = w. Solve d*h - x + 4 = -1, 3*h = 5*x - 18 for h.\n | -1\n | ibivibiv/math_instruct | |
Sort 28/9, 0.2, 1, 16, -0.5, -2 in increasing order.\n | -2, -0.5, 0.2, 1, 28/9, 16\n | ibivibiv/math_instruct | |
Suppose 0 = -p - 4*l + 15, -p - 12 = -4*p - l. Suppose 20*g = p - 3. Solve g = 2*j - 4*x + 10, 8 = -0*j + 2*j + 5*x for j.\n | -1\n | ibivibiv/math_instruct | |
What is 189 to the power of 1/3, to the nearest integer?\n | 6\n | ibivibiv/math_instruct | |
Let q(l) = l**2 + 8*l - 6. Let v be q(-10). Suppose 2*c + 3*j + 3 = 0, 0 = 5*j + v + 1. Let t = -41 + 48. Put -5, c, t in increasing order.\n | -5, c, t\n | ibivibiv/math_instruct | |
What is the value of (11 - 19) + -7 - -9?\n | -6\n | ibivibiv/math_instruct | |
Let k(f) = -f**2 + 4*f - 4. Suppose d - 19 = -5*p + 4, -2*d = -5*p + 14. Determine k(p).\n | -4\n | ibivibiv/math_instruct | |
Suppose 94 = 3*l - l - q, -119 = -3*l - 4*q. List the prime factors of l.\n | 3, 5\n | ibivibiv/math_instruct | |
Let r(f) = -501*f**3 - 18*f**2 + 2*f - 5. Let h(u) = -250*u**3 - 7*u**2 + 2*u - 2. Calculate 5*h(p) - 2*r(p).\n | -248*p**3 + p**2 + 6*p\n | ibivibiv/math_instruct | |
Is -135/13097 at least as big as -1?\n | True\n | ibivibiv/math_instruct | |
Rearrange 726*i + 9*i**3 - 1 - 1453*i + 3*i**2 + 724*i to the form a*i**2 + b*i + d + t*i**3 and give b.\n | -3\n | ibivibiv/math_instruct | |
-35904708 divided by 427437\n | -84\n | ibivibiv/math_instruct | |
What is next in -5611, -7115, -9661, -13249, -17879, -23551, -30265?\n | -38021\n | ibivibiv/math_instruct | |
Calculate the remainder when 13154 is divided by 267.\n | 71\n | ibivibiv/math_instruct | |
What is -0.00000530771 rounded to 6 dps?\n | -0.000005\n | ibivibiv/math_instruct | |
Let p(n) = -13*n**2 + 14*n + 27. Let m(q) = -13*q**2 + 14*q + 25. Let i(u) = -7*m(u) + 6*p(u). Is i(-5) composite?\n | True\n | ibivibiv/math_instruct | |
Find the common denominator of -11/6552 and 50/147.\n | 45864\n | ibivibiv/math_instruct | |
b"What is the mth term of -340754, -681506, -1022258, -1363010, -1703762, -2044514?\n" | -340752*m - 2\n | ibivibiv/math_instruct | |
What is prob of sequence yc when two letters picked without replacement from {y: 1, c: 17}?\n | 1/18\n | ibivibiv/math_instruct | |
Let g(x) = x**2 + x - 6. Let h be g(0). Let l = h - -14. Solve 3*i = -i - l for i.\n | -2\n | ibivibiv/math_instruct | |
Suppose -5 = -5*j - 5*w, -j + 22 = j - 3*w. Suppose 2*f + 0*f = 20. What is the least common multiple of j and f?\n | 10\n | ibivibiv/math_instruct | |
Sort 7/36, 0.1, -14, -3 in decreasing order.\n | 7/36, 0.1, -3, -14\n | ibivibiv/math_instruct | |
How many grams are there in three fifths of a kilogram?\n | 600\n | ibivibiv/math_instruct | |
What is the thousands digit of 32031045?\n | 1\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-71.8374 * -66.7685) + (-71.7363 % -56.3931) | 4781.1322 | ibivibiv/math_instruct | |
Let y(u) = 4127*u. Let q(l) = -2*l. Calculate y(q(a)).\n | -8254*a\n | ibivibiv/math_instruct | |
Let f(p) = 49*p**2 + 9. Let k(h) = 12*h**2 + 2. Let g be ((-48)/36)/(4/6). Give g*f(a) + 9*k(a).\n | 10*a**2\n | ibivibiv/math_instruct | |
What is the fifth root of 1107045078 to the nearest integer?\n | 64\n | ibivibiv/math_instruct | |
Is 29107879 composite?\n | True\n | ibivibiv/math_instruct | |
Find the third derivative of -30908147*j**5 - 213*j**2 + 21709.\n | -1854488820*j**2\n | ibivibiv/math_instruct | |
What is the closest to 2 in -2/19, -3, -0.25729?\n | -2/19\n | ibivibiv/math_instruct | |
Find the common denominator of -129/230 and -57/118845968.\n | 594229840\n | ibivibiv/math_instruct | |
Expand (b - 2*b + 0*b)*(b - b + b**3) + 180*b**3 - 368*b**3 - 48*b**3 - 3*b**4.\n | -4*b**4 - 236*b**3\n | ibivibiv/math_instruct | |
Add together 153.5 and -46.\n | 107.5\n | ibivibiv/math_instruct | |
Suppose -21*a + 95 = -20*a. What is the remainder when a is divided by 12?\n | 11\n | ibivibiv/math_instruct | |
Four letters picked without replacement from mmkbkbbkmbbbkr. Give prob of sequence bmkk.\n | 9/1001\n | ibivibiv/math_instruct | |
Simplify 2*-1*sqrt(4)/sqrt(2)*-1.\n | 2*sqrt(2)\n | ibivibiv/math_instruct | |
What are the prime factors of 206669?\n | 17, 12157\n | ibivibiv/math_instruct | |
Expand (-1 + 1 + 2*t)*(1 - 1 - 2 + (4 - 2 + 2)*(4 + 0 - 1))*(-2 - 5 + 4)*(-3*t + 6*t - 2*t)*(1 - 1 - 2*t**2).\n | 120*t**4\n | ibivibiv/math_instruct | |
Solve -22 = 3*y - q - 2, 50 = -5*y + 5*q for y.\n | -5\n | ibivibiv/math_instruct | |
What is the closest to 0.06 in -13, 1/3, -2/5, -269?\n | 1/3\n | ibivibiv/math_instruct | |
Collect the terms in -22*o - 123*o + 1 - 282*o - 315*o - 168*o.\n | -910*o + 1\n | ibivibiv/math_instruct | |
Let w(x) = x**3 + 12*x**2 - 8*x - 21. What is the tens digit of w(-9)?\n | 9\n | ibivibiv/math_instruct | |
Solve 2441 - 2404 = 3*j - 2*h, -5 = -j - 3*h for j.\n | 11\n | ibivibiv/math_instruct | |
Simplify (sqrt(847) + -2)**2 - (sqrt(448) - sqrt(448)*1)**2 - (5 + -3 + 1 + sqrt(1008))**2.\n | -116*sqrt(7) - 166\n | ibivibiv/math_instruct |
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