instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
How many months are there in seventy-five halves of a year?\n | 450\n | ibivibiv/math_instruct | |
Expand (101 - 121 + 352)*(-3*i + 2*i + 3*i).\n | 664*i\n | ibivibiv/math_instruct | |
Collect the terms in 8971*i**3 - 1887*i**3 - 2331*i**3 - 2330*i**3 - 1913*i**3.\n | 510*i**3\n | ibivibiv/math_instruct | |
Work out 0.7619 * -34.2.\n | -26.05698\n | ibivibiv/math_instruct | |
Solve 19*t + 2*n + 38 = 3*t, -3*t + 8*n + 19 = 6*n for t.\n | -1\n | ibivibiv/math_instruct | |
Let c = -0.8 - -0.4. Let o be ((-4)/30)/(-22*2/(-6)). Let i = 211/495 - o. What is the closest to -2/7 in c, i, 0.4?\n | c\n | ibivibiv/math_instruct | |
Let m(v) = -v**3 + 5*v**2 + 8*v - 7. Let y be m(6). Which is the closest to 1/2? (a) -5/4 (b) y (c) -0.8\n | c\n | ibivibiv/math_instruct | |
Suppose -g + 3*v = -2*v - 3484, 5*v + 6973 = 2*g. Is g a composite number?\n | True\n | ibivibiv/math_instruct | |
Solve o - b + 1 = 0, -2*o - 2319*b + 2323*b + 6 = 0 for o.\n | -5\n | ibivibiv/math_instruct | |
Let g(m) = 214*m. Let d(h) = -8*h**2 + 83. Determine d(g(t)).\n | -366368*t**2 + 83\n | ibivibiv/math_instruct | |
What is the second derivative of 86*p**2 + 1424*p**4 - 35*p - 1422*p**4 + 0 + 0 + 0 wrt p?\n | 24*p**2 + 172\n | ibivibiv/math_instruct | |
Let k(x) = 68102*x - 340539. Calculate k(5).\n | -29\n | ibivibiv/math_instruct | |
What is 4395.158ng in micrograms?\n | 4.395158\n | ibivibiv/math_instruct | |
A shopkeeper has 5 complete decks of playing cards. How many face cards does he have in total? | A standard deck of playing cards contains 12 face cards: the Jack, Queen, and King of each suit (hearts, diamonds, clubs, and spades). Since there are 4 suits, that means there are 4 Jacks, 4 Queens, and 4 Kings in a deck, for a total of 12 face cards per deck.
If the shopkeeper has 5 complete decks, then the total nu... | ibivibiv/math_instruct | |
Let u(d) = 17*d + 3. What is the remainder when 36 is divided by u(1)?\n | 16\n | ibivibiv/math_instruct | |
Let u(x) = x**3 + 9*x**2 + 10*x + 19. Let g be u(-8). Let f(r) = 4*r**2 + 4*r**2 + 2*r + 7 - 5*r**2 + g*r**2. Let c(d) = d**2 + d + 1. Calculate 4*c(o) - f(o).\n | -2*o**2 + 2*o - 3\n | ibivibiv/math_instruct | |
List the prime factors of 285.\n | 3, 5, 19\n | ibivibiv/math_instruct | |
Let v(g) = g - 3. Let y(f) = f - 2. Suppose -2*w + 16 = -4*a, 9*w - 10 = 4*w. Let m(l) = 2*l - 4. Let u(s) = a*m(s) + 5*y(s). Let i be u(7). Calculate v(i).\n | -8\n | ibivibiv/math_instruct | |
What is the value of 23 - (27 + (14 - (39 + -11)))?\n | 10\n | ibivibiv/math_instruct | |
Collect the terms in -17 + 17 + 45*m.\n | 45*m\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {z: 5, a: 11}. Give prob of sequence aaza.\n | 165/1456\n | ibivibiv/math_instruct | |
Expand (0 + 1 + 0)*(i + 2*i - i) + (-2*i + 16*i - 12*i - 13)*(148 - 137 + 86).\n | 196*i - 1261\n | ibivibiv/math_instruct | |
What is 36.71 times -3.6?\n | -132.156\n | ibivibiv/math_instruct | |
Zoey is supposed to visit a doctor 2 times every month. So, he took 2 holidays every month for an entire year. How many holidays did Zoey take in that year | If Zoey took 2 holidays every month for doctor visits and there are 12 months in a year, then the total number of holidays Zoey took in that year would be:
2 holidays/month × 12 months/year = 24 holidays in a year. | ibivibiv/math_instruct | |
What is the first derivative of 143*l*u + 16317566*l - 14*u**2 - 103*u wrt u?\n | 143*l - 28*u - 103\n | ibivibiv/math_instruct | |
Evaluate 145 - 79 - (115 - 0).\n | -49\n | ibivibiv/math_instruct | |
What is the distance between 10 and -115729538911?\n | 115729538921\n | ibivibiv/math_instruct | |
Let a(s) = -21*s**2 + 378*s - 12. Calculate a(18).\n | -12\n | ibivibiv/math_instruct | |
Let o(b) = -10*b - 130. Is o(-15) a multiple of 2?\n | True\n | ibivibiv/math_instruct | |
Which is the nearest to -3/13? (a) -28 (b) -32 (c) 5\n | c\n | ibivibiv/math_instruct | |
What is 1/((-4)/8*2)*2?\n | -2\n | ibivibiv/math_instruct | |
What is prob of picking 2 g and 1 a when three letters picked without replacement from agglglgglalll?\n | 10/143\n | ibivibiv/math_instruct | |
Collect the terms in -1641*n**3 - 4*n**2 + 1623*n**3 + 3*n**2.\n | -18*n**3 - n**2\n | ibivibiv/math_instruct | |
Suppose -3*m - l + 1204 = -0*l, 5*m = -5*l + 2010. Which is bigger: 400 or m?\n | m\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) 1 (b) 27 (c) -7 (d) -0.04\n | d\n | ibivibiv/math_instruct | |
Put 0.041181, 3, 0.062 in descending order.\n | 3, 0.062, 0.041181\n | ibivibiv/math_instruct | |
What is the next term in -17, -30, -47, -68, -93?\n | -122\n | ibivibiv/math_instruct | |
Express (-y - 28*y + 15*y)*(1 + 0 - 3)*(8 - 7 - 2)*(1 - 4 + 0) as s + j*y and give j.\n | 84\n | ibivibiv/math_instruct | |
Let d(x) = -2*x**2 + 2*x + 7. What is d(3)?\n | -5\n | ibivibiv/math_instruct | |
Let n(g) = -26*g - 698. Let w be n(-27). Solve -3*c = -3*l, 0 = 2*l - 2*c + w*c - 4 for l.\n | 1\n | ibivibiv/math_instruct | |
Divide 60597 by 20199.\n | 3\n | ibivibiv/math_instruct | |
List the prime factors of 19941830.\n | 2, 5, 19, 103, 1019\n | ibivibiv/math_instruct | |
If one field has 13 full rows of corn cobs and the other field has 16 full rows, with each row containing 4 corn cobs, what is the total number of corn cobs grown on the farm? | The first field has 13 full rows of corn cobs, and each row contains 4 corn cobs, so the first field has a total of 13 * 4 = <<13*4=52>>52 corn cobs.
The second field has 16 full rows of corn cobs, and each row contains 4 corn cobs, so the second field has a total of 16 * 4 = <<16*4=64>>64 corn cobs.
The total number o... | ibivibiv/math_instruct | |
What is the common denominator of 161/150 and 59/990?\n | 4950\n | ibivibiv/math_instruct | |
What is the ninth root of 1594430 to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 351 (b) -1 (c) -266\n | a\n | ibivibiv/math_instruct | |
How many minutes are there between 1:33 PM and 11:56 PM?\n | 623\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {s: 4, k: 5, u: 1, a: 4, y: 3, w: 1}. Give prob of sequence wyau.\n | 1/6120\n | ibivibiv/math_instruct | |
Let t = 7 - 9. Let c be (-8)/t + (-240)/(-8). Let z = 18 + c. What is the tens digit of z?\n | 5\n | ibivibiv/math_instruct | |
Find the second derivative of 64449031*p**2 - 272970715*p.\n | 128898062\n | ibivibiv/math_instruct | |
Let p = 8 - 6. Suppose -k - 5*y + 2 + 7 = 0, -4*y + 12 = p*k. Find the second derivative of 3*i**4 - 17*i**k + 63*i - 53*i wrt i.\n | -168*i**2\n | ibivibiv/math_instruct | |
Solve 0 = -4*y - 490 + 714, -7*y + 132 + 264 = -2*h for h.\n | -2\n | ibivibiv/math_instruct | |
Let d = 107 + 31. What is the greatest common divisor of 46 and d?\n | 46\n | ibivibiv/math_instruct | |
Simplify ((sqrt(540) + sqrt(540)*-2*-1 + sqrt(540) + sqrt(540))/(sqrt(9) - (sqrt(576) + sqrt(576)*-2 - sqrt(576))))/(-1*sqrt(300)*-6*2).\n | sqrt(5)/204\n | ibivibiv/math_instruct | |
Let z(h) = -3*h - 6. Calculate the least common multiple of z(-6) and 102.\n | 204\n | ibivibiv/math_instruct | |
Is 87 a factor of 167751?\n | False\n | ibivibiv/math_instruct | |
What is prob of picking 2 q, 1 c, and 1 t when four letters picked without replacement from qqqtzpqqct?\n | 2/21\n | ibivibiv/math_instruct | |
Let y(l) = -10*l**3 - l - 1. What is the units digit of y(-1)?\n | 0\n | ibivibiv/math_instruct | |
Multiply -0.026 and 17.\n | -0.442\n | ibivibiv/math_instruct | |
Suppose 3*d - h - 14 = 0, 0*d + 3*h + 12 = -d. Suppose 5 = 5*r - 2*c - d*c, -22 = 5*r + 4*c. Let w = 3 + r. Sort w, 3, -1 in descending order.\n | 3, w, -1\n | ibivibiv/math_instruct | |
How many milliseconds are there in 1/4 of a second?\n | 250\n | ibivibiv/math_instruct | |
Suppose -44*w + 88 + 32 = -41*w. Is w a multiple of 2?\n | True\n | ibivibiv/math_instruct | |
Let i(s) = -s**3 + 6*s**2 + 2*s - 5. Suppose 0 - 12 = -2*b. Let h be i(b). Suppose -5*n = -q - 9, -4*n + n + q + h = 0. Which is bigger: n or 2/13?\n | n\n | ibivibiv/math_instruct | |
Solve 4*a**2 - 528*a = 0.\n | 0, 132\n | ibivibiv/math_instruct | |
What is the result of the following expression?
62.2944 + (-98.3467 / 17.629) | 56.7157 | ibivibiv/math_instruct | |
Solve 69*x**2 + 397*x + 5*x**3 - 26*x**2 + 17*x**2 + 270 + 377*x - 549*x = 0.\n | -6, -3\n | ibivibiv/math_instruct | |
Solve -b = 5*m - 12, 13*m - 5*b + 21 = 16*m - 6*b - 3*b for m.\n | 3\n | ibivibiv/math_instruct | |
Express -5*p + 0*p + p + (0*p + 57*p - 8*p)*(1 - 1 - 11) in the form w + u*p and give u.\n | -543\n | ibivibiv/math_instruct | |
Expand (-o + 0*o + 1 + 0*o)*(26*o**2 + 22*o**2 - 9*o**2)*(3 - o + 0 + 0).\n | 39*o**4 - 156*o**3 + 117*o**2\n | ibivibiv/math_instruct | |
Suppose 3*z - 1 - 8 = 0. Suppose -2*g + z*y + 101 = 23, 4*g - 164 = 4*y. Suppose 4*s - 27 = g. What is the smallest common multiple of 2 and s?\n | 18\n | ibivibiv/math_instruct | |
Let s = 2940 - 1690. What is the tens digit of s?\n | 5\n | ibivibiv/math_instruct | |
Let u be 1 + -1 - (-41 + 41). Suppose 4*i + 2*v = -58 + 252, -2*i - 2*v = -98. Suppose u = a + 2*a - i. Is 14 a factor of a?\n | False\n | ibivibiv/math_instruct | |
Suppose 3 = 3*b - 9, b = -t - 23. Let g = 32 + t. Suppose -172 = -g*o - 4*i, 0 = 3*o - o - 2*i - 76. Is 12 a factor of o?\n | True\n | ibivibiv/math_instruct | |
Evaluate 2*5/4*2/(-40).\n | -1/8\n | ibivibiv/math_instruct | |
What is the least common multiple of 375 and 1955?\n | 146625\n | ibivibiv/math_instruct | |
What is prob of sequence aaaa when four letters picked without replacement from {a: 10}?\n | 1\n | ibivibiv/math_instruct | |
How many decades are there in 1/4 of a millennium?\n | 25\n | ibivibiv/math_instruct | |
Let z(v) be the second derivative of v**5/20 - 5*v**3/3 + 9*v. Let m(j) be the second derivative of z(j). Let q(o) = -4*o**2. Determine m(q(x)).\n | -24*x**2\n | ibivibiv/math_instruct | |
Suppose 4*y - 3*c - 573 = -2*c, -593 = -4*y + 5*c. Suppose a - 248 = y. Calculate the greatest common factor of 65 and a.\n | 65\n | ibivibiv/math_instruct | |
b"What is the fth term of -451, -898, -1343, -1786, -2227, -2666, -3103?\n" | f**2 - 450*f - 2\n | ibivibiv/math_instruct | |
Simplify (q**(1/4)/q*q)**(-33)/((((q/(q/(q**2/q)))/q)/q)/(q/(q/q**(-2)))) assuming q is positive.\n | q**(-37/4)\n | ibivibiv/math_instruct | |
What are the prime factors of 1551 - (-3 - -6) - (-1 + 4)?\n | 3, 5, 103\n | ibivibiv/math_instruct | |
Round 0.0007258114056 to 6 decimal places.\n | 0.000726\n | ibivibiv/math_instruct | |
Solve -j**4/3 - 44*j**3/3 + 46*j**2/3 + 44*j/3 - 15 = 0.\n | -45, -1, 1\n | ibivibiv/math_instruct | |
What is the remainder when 98 is divided by (-1)/((-1)/25) + 0?\n | 23\n | ibivibiv/math_instruct | |
What is the thousands digit of 216634525?\n | 4\n | ibivibiv/math_instruct | |
Sort -1/2, 1/2, 0.127 in descending order.\n | 1/2, 0.127, -1/2\n | ibivibiv/math_instruct | |
Let l(u) = u**3 - 5*u**2 + 3*u + 3. Let c be l(4). Suppose 0 = 3*p - 7 - 2. Let b = c + p. Solve 2*v = -b*a + 4 + 10, a + 5*v - 23 = 0 for a.\n | 3\n | ibivibiv/math_instruct | |
Suppose w + 2*z - 15 = 0, w - 5*z - 8 = -3*w. Let n(d) = -6*d - 7. Let h = 8 + -18. Let l = -8 - h. Let s(g) = 2*g + 2. Give l*n(p) + w*s(p).\n | 2*p\n | ibivibiv/math_instruct | |
Let p(g) = 10491*g + 4 - 1 - 10485*g. Determine p(-1).\n | -3\n | ibivibiv/math_instruct | |
Is -10998/5 != -2200?\n | True\n | ibivibiv/math_instruct | |
How many millilitres are there in one tenth of a litre?\n | 100\n | ibivibiv/math_instruct | |
Suppose 2*x - 4*i = 12, 3*x + 2 - 10 = -4*i. Let a be -3 + (-9)/(-2)*2. Let b = a - x. Solve 3*q - b = -8 for q.\n | -2\n | ibivibiv/math_instruct | |
Sort 6, -32, 3 in decreasing order.\n | 6, 3, -32\n | ibivibiv/math_instruct | |
Let z = -183 - -180. Let r = -109 + 108. Let w be ((-4)/1 - -1)/(-1). Sort w, r, z in decreasing order.\n | w, r, z\n | ibivibiv/math_instruct | |
Let n(f) = 1038890*f**2 + 5*f - 25. Let s(y) = 207778*y**2 + y - 5. Let i(q) = 2*n(q) - 11*s(q). Let l be i(3). Round l to the nearest 100000.\n | -1900000\n | ibivibiv/math_instruct | |
Find the common denominator of -54/132881 and -7/10.\n | 1328810\n | ibivibiv/math_instruct | |
Simplify -1*(((-2*sqrt(136)*2 + sqrt(136))*-2)/(6*sqrt(32) - (sqrt(8) + sqrt(8)*-2)*6))**2.\n | -17/9\n | ibivibiv/math_instruct | |
-351 - 2176527\n | -2176878\n | ibivibiv/math_instruct | |
Express (4 - 3*g**4 - 4)*((0 + 1 + 1)*(0 - 4 + 2) + 5 - 2 - 4) in the form t*g**4 + y*g**2 + l*g + q + p*g**3 and give t.\n | 15\n | ibivibiv/math_instruct |
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