instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
b"What is the vth term of 1195, 2439, 3685, 4933?\n" | v**2 + 1241*v - 47\n | ibivibiv/math_instruct | |
Solve -5*l**3 - 1699980*l**2 - 144493200000*l + 578000000000 = 0 for l.\n | -170000, 4\n | ibivibiv/math_instruct | |
Simplify (sqrt(26)/sqrt(2) + -1 - (sqrt(1300) + 1))**2.\n | 36*sqrt(13) + 1057\n | ibivibiv/math_instruct | |
Is (-33)/6*8/(-44)*236579 composite?\n | True\n | ibivibiv/math_instruct | |
-12 (base 6) to base 11\n | -8\n | ibivibiv/math_instruct | |
Simplify (2*sqrt(735) + sqrt(735) - sqrt(735))/(sqrt(25)/(sqrt(45) + sqrt(5) + sqrt(5))) - (sqrt(15)/sqrt(5)*1 + sqrt(3) - sqrt(24)/(sqrt(8)*2)).\n | 137*sqrt(3)/2\n | ibivibiv/math_instruct | |
Let c = 81 + -42. Let p = -25 + c. What are the prime factors of p?\n | 2, 7\n | ibivibiv/math_instruct | |
Simplify (b/(b**(-2/7)/b))**(-24)/((b*b**6)/(b**5/b*b)) assuming b is positive.\n | b**(-398/7)\n | ibivibiv/math_instruct | |
List the prime factors of (102/(-9))/((-11)/99).\n | 2, 3, 17\n | ibivibiv/math_instruct | |
b"What is the mth term of 173, 333, 483, 623?\n" | -5*m**2 + 175*m + 3\n | ibivibiv/math_instruct | |
Let t be (-21 - -27 - -17) + -27. Which is the biggest value? (a) t (b) -1 (c) -1/7\n | c\n | ibivibiv/math_instruct | |
Let p be 1/(-5) - (-8)/((-200)/(-1205)). Which is smaller: 47 or p?\n | 47\n | ibivibiv/math_instruct | |
What is the hundreds digit of 48547?\n | 5\n | ibivibiv/math_instruct | |
Express -3*i**3 + 13*i**2 - 16*i**2 - 27 + 2*i**3 as y + g*i + t*i**3 + v*i**2 and give y.\n | -27\n | ibivibiv/math_instruct | |
Which is the fourth smallest value? (a) 14.804 (b) -4/7 (c) 12 (d) -2\n | a\n | ibivibiv/math_instruct | |
(-1)/(4/(-6))*60/(-90)\n | -1\n | ibivibiv/math_instruct | |
Three letters picked without replacement from aazkmamkzmkaa. Give prob of picking 2 m and 1 a.\n | 15/286\n | ibivibiv/math_instruct | |
Suppose -5*i + 2*m + 14 = -i, 2*i - 5 = 3*m. Let v(g) = -g + 8. Let u be v(i). Solve -u*a = -0 - 4 for a.\n | 1\n | ibivibiv/math_instruct | |
Suppose -205*h - 450 = -250*h. What is the remainder when 112 is divided by h?\n | 2\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) -0.1 (b) -0.6 (c) 2 (d) -2 (e) 2/23\n | c\n | ibivibiv/math_instruct | |
Rearrange 3529*t**2 + 28387 - 28387 to the form v*t**2 + n + w*t and give v.\n | 3529\n | ibivibiv/math_instruct | |
Put 8235, 0, -23, -6/7 in ascending order.\n | -23, -6/7, 0, 8235\n | ibivibiv/math_instruct | |
Find the common denominator of 45/731 and -17/11997.\n | 203949\n | ibivibiv/math_instruct | |
Solve 55 = 11*q + 44 for q.\n | 1\n | ibivibiv/math_instruct | |
Let i be (-2 - 2)*4/(-32). Let u = 0.05 - 0.45. Which is the third biggest value? (a) 2 (b) i (c) u\n | c\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 192976 and 112.\n | 112\n | ibivibiv/math_instruct | |
Let m(h) = 5*h**2 + 1. Let x be m(-1). What is the remainder when 182/x - (-2)/(-6) is divided by 16?\n | 14\n | ibivibiv/math_instruct | |
Differentiate -a*d*i - 45*a*d*n**2 - 6*a*i**2*n - 455*d*i**2*n**2 + 2*d*i**2*n + d*i*n - 2*d wrt a.\n | -d*i - 45*d*n**2 - 6*i**2*n\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) 0.3 (b) 5807 (c) -0.3 (d) -2/17\n | a\n | ibivibiv/math_instruct | |
Calculate the remainder when 59 is divided by 19.\n | 2\n | ibivibiv/math_instruct | |
Let q(i) = -18*i + 16. Suppose -7*o + 6*o - 11 = -4*g, 2*o + 9*g - 29 = 0. Calculate q(o).\n | -2\n | ibivibiv/math_instruct | |
Is 9317893 a multiple of 14?\n | False\n | ibivibiv/math_instruct | |
Gary has 30 grams of gold that cost $15 per gram. Anna has 50 grams of gold for the cost of $20 per gram. How much is the cost of their gold combined? | Gary has 30 grams of gold that cost $15 per gram, so the cost of his gold is 30 * $15 = $450.
Anna has 50 grams of gold that cost $20 per gram, so the cost of her gold is 50 * $20 = $1000.
The total cost of their gold combined is $450 + $1000 = $1450.
#### 1450
The answer is: 1450 | ibivibiv/math_instruct | |
Find the second derivative of 4341301*g**3 - 6303*g + g**5 - 4031*g**2 - 4341301*g**3 wrt g.\n | 20*g**3 - 8062\n | ibivibiv/math_instruct | |
Collect the terms in 68*m**3 + 48*m**3 + 124*m**3 - 6*m**3.\n | 234*m**3\n | ibivibiv/math_instruct | |
In base 10, what is 49 - 4?\n | 45\n | ibivibiv/math_instruct | |
Four letters picked without replacement from jjjsjjjjjjjjs. Give prob of sequence jjjs.\n | 3/26\n | ibivibiv/math_instruct | |
Suppose 20 = 5*s - 0*s. Suppose 0 = -3*u + 5*y, s*y = 5*u + 8*y. Suppose -71 = -2*z + 3*i + 192, u = 3*z - 5*i - 394. Is z a composite number?\n | True\n | ibivibiv/math_instruct | |
Simplify x**(-6/17)*((x/x**20)/x)/x assuming x is positive.\n | x**(-363/17)\n | ibivibiv/math_instruct | |
Let o(n) = 2*n**2 - 2*n**2 + 6 + n + n**2. Let k = 152 + -152. Calculate o(k).\n | 6\n | ibivibiv/math_instruct | |
Let h be 2/4*14/(-21). Which is the nearest to 2/9? (a) h (b) -2 (c) -1/4\n | c\n | ibivibiv/math_instruct | |
Collect the terms in -3*d**2 + d**2 - 4*d**2 + 2*d**2.\n | -4*d**2\n | ibivibiv/math_instruct | |
Let d = 38 + -24. Let c = -7 - 32. Let h = d - c. Is h composite?\n | False\n | ibivibiv/math_instruct | |
Put 16, 2, 0, 7 in descending order.\n | 16, 7, 2, 0\n | ibivibiv/math_instruct | |
Suppose 2*s = -c - 12, -7*c - 2*s - 8 = -4*c. Solve 9 = 2*y - 31*f + 32*f, 0 = -c*y - 5*f + 21 for y.\n | 3\n | ibivibiv/math_instruct | |
112110022022102 (base 3) to base 14\n | 103da0d\n | ibivibiv/math_instruct | |
Is -186106802 equal to -186106804?\n | False\n | ibivibiv/math_instruct | |
Let l(w) = -23*w - 556. Determine l(-25).\n | 19\n | ibivibiv/math_instruct | |
What is 354 minutes after 4:33 PM?\n | 10:27 PM\n | ibivibiv/math_instruct | |
Let q(i) be the first derivative of -2*i**7/105 + 2*i**3/3 + 2*i**2 - 6. Let l(u) be the second derivative of q(u). What is the derivative of l(m) wrt m?\n | -16*m**3\n | ibivibiv/math_instruct | |
Suppose 115*q**3 + 0*q**2 - 112*q**3 - 18*q**2 = 0. Calculate q.\n | 0, 6\n | ibivibiv/math_instruct | |
What is prob of sequence ggbg when four letters picked without replacement from bgggggggggggg?\n | 1/13\n | ibivibiv/math_instruct | |
What is 448 minutes after 2:25 AM?\n | 9:53 AM\n | ibivibiv/math_instruct | |
What is 128 divided by -1599?\n | -128/1599\n | ibivibiv/math_instruct | |
Let s(b) = 230*b - 151. Is s(10) composite?\n | True\n | ibivibiv/math_instruct | |
b"What is the uth term of 43457, 43440, 43437, 43454, 43497, 43572, 43685?\n" | u**3 + u**2 - 27*u + 43482\n | ibivibiv/math_instruct | |
Convert -101100 (base 2) to base 16.\n | -2c\n | ibivibiv/math_instruct | |
Expand (i**2 + 3*i**2 - 6*i**2)*(2*i**3 + 0*i + 0*i) + (75 - 75 + 25*i**2)*(-i**3 + 2*i - 2*i).\n | -29*i**5\n | ibivibiv/math_instruct | |
Is 1976 a multiple of 19?\n | True\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 2155153172?\n | 1\n | ibivibiv/math_instruct | |
Suppose -10 = -2*h, -4*h = -5*t + 7*t + 58. Let c = t - -45. Solve 4*o - 12 = -j, c*j - 14 = 2*j + o for j.\n | 4\n | ibivibiv/math_instruct | |
What is prob of sequence rf when two letters picked without replacement from fnffpnrrmf?\n | 4/45\n | ibivibiv/math_instruct | |
What is (-2)/9 + (-124)/144 + 1?\n | -1/12\n | ibivibiv/math_instruct | |
Suppose 0 = 3*y + 5*j - 2*j + 42, 4*y - j + 76 = 0. Let k be (-32)/(-18) + (-4)/y. Find the first derivative of 1 + k*x**3 - 2*x**3 + x**3 wrt x.\n | 3*x**2\n | ibivibiv/math_instruct | |
Calculate (-5280)/(-1936)*44/(-20).\n | -6\n | ibivibiv/math_instruct | |
Let y be 4/12 + 16/6. Suppose 4*h - 31 = x, 0 = -h - 2*h + x + 24. Solve -l + y - h = 0 for l.\n | -4\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-54.6626 % 2.2482) / (51.3886 / 74.9153) | 2.2485 | ibivibiv/math_instruct | |
Suppose -40*r + 44*r - 108 = 0. Let i(j) be the first derivative of -r + 10*j**2 + 6 - 42*j**6 + 38*j**6 - 7. Find the second derivative of i(d) wrt d.\n | -480*d**3\n | ibivibiv/math_instruct | |
Let r(n) = -31*n. Let o(y) = 473517*y. Calculate o(r(v)).\n | -14679027*v\n | ibivibiv/math_instruct | |
What is the second derivative of 442276*d**3*v**3 - 4*d**3*v**2 - d*v**3 + 16*d*v + 179*v**2 + 28 wrt d?\n | 2653656*d*v**3 - 24*d*v**2\n | ibivibiv/math_instruct | |
Let d = 12 - 19. Let l = -4 - d. Is l composite?\n | False\n | ibivibiv/math_instruct | |
Two letters picked without replacement from zzzzzzzzzzzzzbzzzzz. Give prob of picking 2 z.\n | 17/19\n | ibivibiv/math_instruct | |
Suppose r + 5 = 2*r. Let z be -3 + 2/1 + (-45)/(-63). Which is the third smallest value? (a) 0.3 (b) z (c) r\n | c\n | ibivibiv/math_instruct | |
What is 0.44 times -961554?\n | -423083.76\n | ibivibiv/math_instruct | |
Solve 7*v - 9*v = -8 for v.\n | 4\n | ibivibiv/math_instruct | |
Multiply -23.61 and 7.\n | -165.27\n | ibivibiv/math_instruct | |
Let w be (-1 - (-6)/(-3)) + (-23)/(-7). Sort -2.3, w, -5.\n | -5, -2.3, w\n | ibivibiv/math_instruct | |
Let n be 10/((6/3)/1). Suppose 4*f - n*q = 1, -5*f = -q + 4 - 0. Let u = 0 + f. Is u >= -1?\n | True\n | ibivibiv/math_instruct | |
What is the next term in -979, -983, -987, -991?\n | -995\n | ibivibiv/math_instruct | |
What is 5.961282 kilometers in millimeters?\n | 5961282\n | ibivibiv/math_instruct | |
What is 2aa7009 (base 12) in base 3?\n | 121022222101100\n | ibivibiv/math_instruct | |
What is the thousands digit of 52435882?\n | 5\n | ibivibiv/math_instruct | |
What is the thousands digit of 1478?\n | 1\n | ibivibiv/math_instruct | |
Evaluate ((-18 - -19) + -36 - 32) + 0 + -1.\n | -68\n | ibivibiv/math_instruct | |
Is 10 a factor of ((-10)/(-3))/((-11)/(-165))?\n | True\n | ibivibiv/math_instruct | |
Suppose 35*s - 5796 = -89*s - 152*s. Let u(j) be the second derivative of s + 2*j**3 - 2/15*j**6 + 11/6*j**4 - 3/10*j**5 - 2*j + 0*j**2. Factor u(i).\n | -2*i*(i - 2)*(i + 3)*(2*i + 1)\n | ibivibiv/math_instruct | |
Simplify (sqrt(6)/(sqrt(8)*-3))**2.\n | 1/12\n | ibivibiv/math_instruct | |
Sort 0.4, 25547, -86/5 in increasing order.\n | -86/5, 0.4, 25547\n | ibivibiv/math_instruct | |
(4 - 6) + -1 + -1 - 2\n | -6\n | ibivibiv/math_instruct | |
Calculate -5 + -7 + (13 - 1 - (17 - 11)).\n | -6\n | ibivibiv/math_instruct | |
What is the next term in 92, 159, 228, 299?\n | 372\n | ibivibiv/math_instruct | |
Suppose v - 3*v - 3*g = -8, 5*v = -5*g + 15. Let t(r) = 5 - 1 - 8*r + 3*r - v + r**3 + 3*r**2. Give t(-4).\n | 7\n | ibivibiv/math_instruct | |
Differentiate -4*p**3 - 136*p + 1743 with respect to p.\n | -12*p**2 - 136\n | ibivibiv/math_instruct | |
Let u(a) = a**3 + 8*a**2 + 945*a + 7572. Calculate u(-8).\n | 12\n | ibivibiv/math_instruct | |
Collect the terms in -12*y**2 - 2*y**2 + 11*y**2.\n | -3*y**2\n | ibivibiv/math_instruct | |
Let z = 1559073 - 3365530. Let x = -1806457.23000088 - z. Let r = -0.23 - x. Round r to seven decimal places.\n | 0.0000009\n | ibivibiv/math_instruct | |
Find l such that l**2 + 18373*l - 220620 = 0.\n | -18385, 12\n | ibivibiv/math_instruct | |
Which is greater: -1 or 9/80?\n | 9/80\n | ibivibiv/math_instruct | |
Work out -106453 * 0.09.\n | -9580.77\n | ibivibiv/math_instruct | |
List the prime factors of 2597.\n | 7, 53\n | ibivibiv/math_instruct |
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