instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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A group of boy scouts and girl scouts is going on a rafting trip. 70% of the scouts arrived with signed permission slips. 60% of the scouts were boy scouts and some percentage of the boy scouts arrived with signed permission slips. 62.5% of the girl scouts arrived with signed permission slips. What percentage of the bo... | Let's assume there are 100 scouts in total for simplicity.
70% of the scouts arrived with signed permission slips, so that's 70 scouts with signed permission slips.
60% of the scouts were boy scouts, so that's 60 boy scouts.
The remaining 40% are girl scouts, so that's 40 girl scouts.
62.5% of the girl scouts arri... | ibivibiv/math_instruct | |
(-22)/(-55) - (-2)/10\n | 3/5\n | ibivibiv/math_instruct | |
Let o be (-16)/20 + 4/(-20). Which is the closest to o? (a) 1 (b) 3 (c) -1\n | c\n | ibivibiv/math_instruct | |
What is 21029 to the power of 1/7, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Expand -2*n**5 - 9*n**4 + 4*n**4 + 3*n**4 + 0*n**5 - n**5 - n**5 + (-2*n + 0 + 0)*(2*n - 2*n + 2*n**4).\n | -8*n**5 - 2*n**4\n | ibivibiv/math_instruct | |
Does 291 divide 1717191?\n | True\n | ibivibiv/math_instruct | |
Expand (2*x - 1 + 1)*(-3*x**2 - x**2 + 3*x**2 + (3*x**2 - 2*x**2 - 3*x**2)*(4 - 4 + 2) + x**2 + 4*x**2 - 3*x**2 - x**2 + 2*x**2 + x**2 - 1 + 1 + 2*x**2).\n | 2*x**3\n | ibivibiv/math_instruct | |
Are -31.83 and -9 equal?\n | False\n | ibivibiv/math_instruct | |
Let r = -60 - -120. Suppose r = 5*j - 0*j. Let a = j + -8. Solve 0*y + 20 = a*y for y.\n | 5\n | ibivibiv/math_instruct | |
Calculate 0.0103 + -18171792.\n | -18171791.9897\n | ibivibiv/math_instruct | |
Let o(c) = -28*c**3 - 179*c**2 - 60*c - 12. Let u(a) = -12*a**3 - 76*a**2 - 26*a - 5. Determine -7*o(f) + 16*u(f).\n | 4*f**3 + 37*f**2 + 4*f + 4\n | ibivibiv/math_instruct | |
What is the units digit of 180533?\n | 3\n | ibivibiv/math_instruct | |
b"What is the rth term of 156, 32, -94, -222, -352, -484, -618?\n" | -r**2 - 121*r + 278\n | ibivibiv/math_instruct | |
Collect the terms in -2*j**3 + 444*j**2 + 3*j**3 - 1 + 705*j**2 - 1149*j**2 + 1.\n | j**3\n | ibivibiv/math_instruct | |
What comes next: 7, 5, -1, -11, -25, -43, -65?\n | -91\n | ibivibiv/math_instruct | |
What is 4 minus 1.8291?\n | 2.1709\n | ibivibiv/math_instruct | |
Let p(c) = 16*c**2. Let y(n) be the first derivative of -n**2/2 + 39. Calculate p(y(u)).\n | 16*u**2\n | ibivibiv/math_instruct | |
-123322031122 (base 4) to base 3\n | -111202201002121\n | ibivibiv/math_instruct | |
Is 1337 a multiple of 21?\n | False\n | ibivibiv/math_instruct | |
What is the greatest common factor of 3222778 and 26?\n | 26\n | ibivibiv/math_instruct | |
Let d(s) be the second derivative of s**4/12 - 4*s**3/3 - 3*s**2 + s. Suppose 6 = 2*v - 12. Let b be d(v). Solve -b*z = z for z.\n | 0\n | ibivibiv/math_instruct | |
Let l(c) = 4*c + 1. Let i(h) = -299 + 8*h - h - 6*h + 298. Let b = 14 - 8. Let d(g) = b*i(g) - l(g). What is the first derivative of d(k) wrt k?\n | 2\n | ibivibiv/math_instruct | |
Divide -1016 by -868.\n | 254/217\n | ibivibiv/math_instruct | |
How many centimeters are there in 7/4 of a meter?\n | 175\n | ibivibiv/math_instruct | |
What is 69 minutes after 12:18 PM?\n | 1:27 PM\n | ibivibiv/math_instruct | |
Collect the terms in 4 - 1 - 4 - 3665*l - 4695*l.\n | -8360*l - 1\n | ibivibiv/math_instruct | |
Let y(i) be the second derivative of 0 + 4/13*i**2 + 1/78*i**4 + 4/39*i**3 + 13*i. Let y(a) = 0. What is a?\n | -2\n | ibivibiv/math_instruct | |
Suppose 5*f = 7*f + 24. Let w = 17 + f. Solve 3*j + 24 = -4*b - 3, -30 = 3*j + w*b for j.\n | -5\n | ibivibiv/math_instruct | |
Simplify d**(-4)*d*d**11 assuming d is positive.\n | d**8\n | ibivibiv/math_instruct | |
Suppose -3*z = 2*x - 11, -2*x + 0 = -2*z - 6. Suppose 29 + z = 2*u. Calculate the remainder when u is divided by 10.\n | 5\n | ibivibiv/math_instruct | |
Is 13531 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let i(k) = -k + 1. Let y be i(-3). Suppose -d = y*d + 15. Calculate the remainder when (74/d)/(4/(-6)) is divided by 13.\n | 11\n | ibivibiv/math_instruct | |
Suppose -3530*f + 3532*f - 4 = 0. Find q such that 4/9 + 8/9*q**f + 2/9*q**3 + 10/9*q = 0.\n | -2, -1\n | ibivibiv/math_instruct | |
Is 13516 a multiple of 31?\n | True\n | ibivibiv/math_instruct | |
What is the fifth smallest value in -0.01, 1/5, 159, -3, 0.4, -46, 1?\n | 0.4\n | ibivibiv/math_instruct | |
Solve -3*o + 611*s + 195 = 614*s, -13*o - 4*s = -800 for o.\n | 60\n | ibivibiv/math_instruct | |
Let v = -5.9 - -10.5. Let h = 4.4 - v. Is 1 at most as big as h?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 4697590?\n | 2, 5, 461, 1019\n | ibivibiv/math_instruct | |
What is prob of sequence gii when three letters picked without replacement from ggiigiggig?\n | 1/10\n | ibivibiv/math_instruct | |
What are the prime factors of 288949711?\n | 97, 103, 28921\n | ibivibiv/math_instruct | |
What is -2.145248199 rounded to 1 decimal place?\n | -2.1\n | ibivibiv/math_instruct | |
Factor -2*v**2/11 - 2595184*v/11 - 841872499232/11.\n | -2*(v + 648796)**2/11\n | ibivibiv/math_instruct | |
b"What is the gth term of -44, -48, -62, -92, -144, -224, -338, -492?\n" | -g**3 + g**2 - 44\n | ibivibiv/math_instruct | |
What is the greatest common factor of 112 and 19256216?\n | 56\n | ibivibiv/math_instruct | |
Let t(u) = -3*u**3 - 47*u**2 - 11*u + 292. Determine t(-15).\n | 7\n | ibivibiv/math_instruct | |
Collect the terms in 11*f + 108 - 3*f - 114.\n | 8*f - 6\n | ibivibiv/math_instruct | |
Let w = -40 - -21. Let l be -11*(0 - (-8)/88). Put w, 0, l in descending order.\n | 0, l, w\n | ibivibiv/math_instruct | |
Let a = 31 - 24. Let i(c) = -c**3 - 10*c**2 + 13. Let b be i(-10). Let t = b + -7. What is the smallest common multiple of a and t?\n | 42\n | ibivibiv/math_instruct | |
Differentiate -13293485*q**2*u + 34832*q**2 + 124 with respect to u.\n | -13293485*q**2\n | ibivibiv/math_instruct | |
Divide -1448 by 724.\n | -2\n | ibivibiv/math_instruct | |
What is prob of sequence uv when two letters picked without replacement from vuvuvvuvuuvvvvvvvv?\n | 65/306\n | ibivibiv/math_instruct | |
Expand -3*f**3 + 5*f**3 - 5*f**3 + 2 + f**3 - 2 + 0*f**3 - 2*f**3 + 0*f**3 + (-f**2 + 4*f**2 - 5*f**2)*(-2*f - 2 + 2) - f + 2*f**3 + f.\n | 2*f**3\n | ibivibiv/math_instruct | |
Let z be (-27)/(-6) + (-1)/2. Suppose -2*h + 40 = 5*w - 32, -w - 3*h + z = 0. Let v = w - -201. Is v a prime number?\n | False\n | ibivibiv/math_instruct | |
Round -0.278458 to 2 dps.\n | -0.28\n | ibivibiv/math_instruct | |
Let j = -27 - -104. Suppose 2*s + 0*o - 6 = -4*o, 0 = 4*s + 5*o - 21. Suppose -3*t + 24 = -s. Calculate the highest common factor of j and t.\n | 11\n | ibivibiv/math_instruct | |
Let g(n) be the second derivative of -5*n**4/12 + 11*n. Let f(j) = 7*j. Calculate g(f(c)).\n | -245*c**2\n | ibivibiv/math_instruct | |
Express 140*j - 8*j + 105*j + 2*j + 23*j in the form s*j + z and give s.\n | 262\n | ibivibiv/math_instruct | |
What is prob of sequence qq when two letters picked without replacement from {e: 1, q: 11, i: 1}?\n | 55/78\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 69559562 and 6.\n | 2\n | ibivibiv/math_instruct | |
Solve -1530*h - 189568 = -4492*h for h.\n | 64\n | ibivibiv/math_instruct | |
Express -3*j**3 - 6 - 6*j + 5*j + 0*j + 4*j**2 + 3 in the form p*j**3 + k + w*j + t*j**2 and give w.\n | -1\n | ibivibiv/math_instruct | |
b"What is the wth term of 1857, 7798, 17823, 31926, 50101?\n" | -w**3 + 2048*w**2 - 196*w + 6\n | ibivibiv/math_instruct | |
Let s(k) = -3*k - 25. Let p be s(-9). Solve -l = -p*l - o - 4, 2*o = 5*l + 13 for l.\n | -3\n | ibivibiv/math_instruct | |
Evaluate 4 - (5 + (-8 - -4)).\n | 3\n | ibivibiv/math_instruct | |
What is the highest common divisor of 219 and 102444039?\n | 219\n | ibivibiv/math_instruct | |
Suppose 3*j - 17 = -4*o, -j - 2 = -5. Let h(p) be the second derivative of 0*p**o + 0 + 0*p**3 - 1/4*p**4 + 2*p. Let f(w) = -w**2. What is h(f(z))?\n | -3*z**4\n | ibivibiv/math_instruct | |
Let v(f) = 26*f + 4. Suppose 44*s + 19*s + 0*s - 882 = 0. What is the remainder when v(5) is divided by s?\n | 8\n | ibivibiv/math_instruct | |
Let c(y) = -2*y**2 + 24*y - 37. Let z be c(10). Solve 5*s + j - 4*j = 9, -3*s + 3*j + z = 0 for s.\n | 3\n | ibivibiv/math_instruct | |
Expand -17*l**5 + 64*l**5 - 30*l**5 + (-1 + 6 - 3)*(-l**5 - 3*l**3 + 3*l**3) + 0*l**5 + 0*l**5 + l**5.\n | 16*l**5\n | ibivibiv/math_instruct | |
Let r = 3/20 - -1/20. Which is the nearest to -1? (a) 2/5 (b) 1 (c) r\n | c\n | ibivibiv/math_instruct | |
Put 2/13, 3, 14507.3 in ascending order.\n | 2/13, 3, 14507.3\n | ibivibiv/math_instruct | |
Which is smaller: 329/9 or -1/4?\n | -1/4\n | ibivibiv/math_instruct | |
What is 36174 to the power of 1/10, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Calculate the remainder when 927336004 is divided by 51.\n | 46\n | ibivibiv/math_instruct | |
Let t = -22961 + 27636. Is t a multiple of 55?\n | True\n | ibivibiv/math_instruct | |
Let f = 5.2 + -5. Let y be (49/14)/(3/6). Suppose y*s + 57 - 29 = 0. Which is the third smallest value? (a) -6 (b) f (c) s\n | b\n | ibivibiv/math_instruct | |
In base 2, what is -1 + 10001001110?\n | 10001001101\n | ibivibiv/math_instruct | |
Work out -0.5860743 * -0.2.\n | 0.11721486\n | ibivibiv/math_instruct | |
Suppose -5*x = 6 - 1. Suppose 12 = 8*w - 4*w. Which is the closest to 0? (a) x (b) 4 (c) w\n | a\n | ibivibiv/math_instruct | |
Solve 478 = 816*r - 915*r + 2948 + 1292 for r.\n | 38\n | ibivibiv/math_instruct | |
What is 3 times 360341?\n | 1081023\n | ibivibiv/math_instruct | |
What is prob of picking 1 d, 1 t, and 1 y when three letters picked without replacement from tejddetvtvjtjy?\n | 2/91\n | ibivibiv/math_instruct | |
Calculate prob of sequence kvr when three letters picked without replacement from {r: 1, v: 2, u: 1, k: 4}.\n | 1/42\n | ibivibiv/math_instruct | |
Let b(r) = r - 29. What is b(0)?\n | -29\n | ibivibiv/math_instruct | |
Let t(f) = -8*f**2 - 364*f - 1498. What is t(-5)?\n | 122\n | ibivibiv/math_instruct | |
Let p = 2 - 0. Suppose 123 - 27 = 32*l. Suppose -l*w + 21 = -3*q, 6*q - p*q = 3*w - 24. Solve -6 = w*i + 14 for i.\n | -5\n | ibivibiv/math_instruct | |
Simplify (6*(sqrt(143) + sqrt(143)*-3) + sqrt(143))/(sqrt(33)/(sqrt(15)/sqrt(5))).\n | -11*sqrt(13)\n | ibivibiv/math_instruct | |
Solve 5*n - 4*j + 145 = 0, 191*n - 192*n - 4*j - 5 = 0 for n.\n | -25\n | ibivibiv/math_instruct | |
Simplify ((k**(2/5))**(-2))**(12/7) assuming k is positive.\n | k**(-48/35)\n | ibivibiv/math_instruct | |
What is -13 + (4 - (6 + -9))?\n | -6\n | ibivibiv/math_instruct | |
Let q(k) be the third derivative of 2*k**7/105 + 3*k**5/20 - 5*k**4/24 - 11*k**3/6 - 227*k**2. What is the second derivative of q(u) wrt u?\n | 48*u**2 + 18\n | ibivibiv/math_instruct | |
Evaluate 12 + -3 + 2 + (14 - 1 - (12 + -8)).\n | 20\n | ibivibiv/math_instruct | |
The school band is having a car wash to raise money. Their goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families. How much more money do they have to earn to reach their goal? | The band has earned $10 from each of the 3 families, so they earned a total of 3 * $10 = $30 from these families.
They have also earned $5 from each of the 15 families, so they earned a total of 15 * $5 = $75 from these families.
In total, they have earned $30 + $75 = $105.
Their goal is to collect $150, so they still ... | ibivibiv/math_instruct | |
What is the value of ((132/187)/(-12))/((-4)/8)?\n | 2/17\n | ibivibiv/math_instruct | |
Find the second derivative of -30*a*j - a*s**3 + 2359237*a*s**2 + a*s + 77*a + 133*j*s**3 - 215*j*s + 7*s wrt s.\n | -6*a*s + 4718474*a + 798*j*s\n | ibivibiv/math_instruct | |
What is the highest common factor of 119935 and 46397?\n | 83\n | ibivibiv/math_instruct | |
Let w(g) = 5*g**2 + 3*g + 1. Give w(3).\n | 55\n | ibivibiv/math_instruct | |
Let h = 292001/2 - 441005/3. Is -1001 at most h?\n | False\n | ibivibiv/math_instruct | |
Multiply 17311 and -0.139.\n | -2406.229\n | ibivibiv/math_instruct | |
Let g(w) = w**2 + 3*w + 9. What is g(-3)?\n | 9\n | ibivibiv/math_instruct |
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