instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Round -0.000141089313 to 6 decimal places.\n | -0.000141\n | ibivibiv/math_instruct | |
Let a(k) = -k**3 - 3*k**2 + 2*k - 4. Let j be a(-4). Let y be (3 - j) + (-10)/2. What is the tens digit of y/3 - -3 - -10?\n | 1\n | ibivibiv/math_instruct | |
Suppose 46*b - 60*b + 116704 = 0. Is 8 a factor of b?\n | True\n | ibivibiv/math_instruct | |
Let z be (-34968)/301248 - (-2)/16. Let m = 22583/106692 + z. What is the common denominator of -103/12 and m?\n | 204\n | ibivibiv/math_instruct | |
What is -6570 divided by -26?\n | 3285/13\n | ibivibiv/math_instruct | |
Three letters picked without replacement from jeerieiiijieeiiiiej. Give prob of sequence eei.\n | 15/323\n | ibivibiv/math_instruct | |
Collect the terms in 15*m**2 + 10*m**2 - m**2.\n | 24*m**2\n | ibivibiv/math_instruct | |
Sort -174, 4, 0, -3 in decreasing order.\n | 4, 0, -3, -174\n | ibivibiv/math_instruct | |
Let y = -147.4 + 147. What is the second biggest value in 3, y, -18?\n | y\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {w: 3, r: 3, l: 1, v: 2, o: 3, n: 1}. What is prob of sequence vlrr?\n | 1/1430\n | ibivibiv/math_instruct | |
What is the second smallest value in 3097774, 1/2, 0.07?\n | 1/2\n | ibivibiv/math_instruct | |
Suppose 0 = 5*k + 3*b - 5*b - 384990, 4*k = -3*b + 308015. What is k rounded to the nearest ten thousand?\n | 80000\n | ibivibiv/math_instruct | |
If there were initially 90 people on Williams bus and 3/5 of them were Dutch, of which 1/2 were also American, and 1/3 of the Dutch Americans got window seats, what is the number of Dutch Americans who sat at the windows? | If 3/5 of the 90 people on Williams bus were Dutch, there were 3/5*90 = 54 Dutch people on the bus.
If 1/2 of the Dutch people were also American, there were 1/2*54 = 27 Dutch Americans on the bus.
If 1/3 of the Dutch Americans got window seats, there were 1/3*27 = 9 Dutch Americans who sat at the windows.
#### 9
The a... | ibivibiv/math_instruct | |
Which is smaller: 5 or 4142/731?\n | 5\n | ibivibiv/math_instruct | |
Let a(f) = f**2 - 2*f + 2. Let x be a(0). Let i(g) = g**2 + 18*g + 5*g**2 + 6*g**x + 35 - 11*g**2. Let u be i(-15). Is u > -10?\n | False\n | ibivibiv/math_instruct | |
Calculate the remainder when 70286 is divided by 51.\n | 8\n | ibivibiv/math_instruct | |
Let v = -272.2 + 48.8. Let f = v - -214.17. Let y = 0.23 + f. Are y and -0.1 nonequal?\n | True\n | ibivibiv/math_instruct | |
Sort 11, -4, -3, -2 in decreasing order.\n | 11, -2, -3, -4\n | ibivibiv/math_instruct | |
Simplify 1*(((1*sqrt(12))/sqrt(4) + 5)*-3)**2.\n | 90*sqrt(3) + 252\n | ibivibiv/math_instruct | |
Let i = 82 + -67. Suppose f + u - 4 = 1, 5*u + i = 3*f. Solve -f*r = 5*a + 4 - 24, -r + a = 4 for r.\n | 0\n | ibivibiv/math_instruct | |
What is next in 41305, 40904, 40503, 40102?\n | 39701\n | ibivibiv/math_instruct | |
708 * -0.17\n | -120.36\n | ibivibiv/math_instruct | |
Solve 615*t = 38625 - 72450 for t.\n | -55\n | ibivibiv/math_instruct | |
Factor -51*o**3 + 62*o**2 - 9*o - 2.\n | -(o - 1)*(3*o - 1)*(17*o + 2)\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {p: 1, v: 7, c: 12}. Give prob of sequence vpv.\n | 7/1140\n | ibivibiv/math_instruct | |
Simplify sqrt(14)/(2*sqrt(98)) + -4.\n | -4 + sqrt(7)/14\n | ibivibiv/math_instruct | |
Let j = 4237 - 4237. Let z(m) be the second derivative of 0*m**4 + 0*m**2 - 9/20*m**5 + 5/3*m**3 + j + 7*m. What is the second derivative of z(h) wrt h?\n | -54*h\n | ibivibiv/math_instruct | |
List the prime factors of 393497288.\n | 2, 29, 1696109\n | ibivibiv/math_instruct | |
What is the value of (1/3)/(1/(6/4))*(-2071280)/(-60920)?\n | 17\n | ibivibiv/math_instruct | |
Let l = 19 + -15. Let k(g) = g**2 - 3*g + 1. Let b be k(l). Solve 2 + 8 = -b*q for q.\n | -2\n | ibivibiv/math_instruct | |
Let z(n) = -128*n**3 + n**2 + 2*n + 1. Is 16 a factor of z(-1)?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 390581377.\n | 23, 1979, 8581\n | ibivibiv/math_instruct | |
b"What is the lth term of 24818, 49619, 74418, 99215, 124010, 148803, 173594?\n" | -l**2 + 24804*l + 15\n | ibivibiv/math_instruct | |
Let y(a) = 8*a - 388 + 385 - 9*a. Suppose 0*n + 4*w - 20 = 2*n, 3*w + 37 = -5*n. What is y(n)?\n | 5\n | ibivibiv/math_instruct | |
Suppose 3*j = -4*t - 97550, -4*t + 3*j = -2*j + 97534. Let o = 1073093/44 + t. Find the common denominator of 81/22 and o.\n | 44\n | ibivibiv/math_instruct | |
What is the common denominator of -63/109516 and 31/215495?\n | 180153820\n | ibivibiv/math_instruct | |
Let i(k) be the third derivative of k**8/6720 + k**7/1260 + k**6/720 - k**4/8 + k**2. Let b(p) be the second derivative of i(p). Calculate b(-2).\n | -2\n | ibivibiv/math_instruct | |
x ^ 2 + sx + 72 = 0 has two distinct integer roots ; how many values are possible for s ? | For the quadratic equation \(x^2 + sx + 72 = 0\) to have two distinct integer roots, the discriminant must be a perfect square, and the constant term (72 in this case) must be the product of two integers that sum up to \(s\).
The factor pairs of 72 are:
1. (1, 72)
2. (2, 36)
3. (3, 24)
4. (4, 18)
5. (6, 12)
6. (8, 9)
... | ibivibiv/math_instruct | |
Expand (j**2 + 0*j**2 + 0*j**2)*(-2 - 2*j + 2 + (-2*j - j + j)*(1 - 1 + 2) - 2*j - 2*j + 6*j - 3*j + 5*j - 12*j + (5 - 4 - 5)*(j + 3*j - 3*j)).\n | -18*j**3\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) 1/302 (b) -2/13 (c) 0\n | b\n | ibivibiv/math_instruct | |
What is the product of 371 and 0.71235?\n | 264.28185\n | ibivibiv/math_instruct | |
What is the result of the following expression?
74.2205 % 77.7824 | 74.2205 | ibivibiv/math_instruct | |
Convert 1022012010122 (base 3) to base 11.\n | 433440\n | ibivibiv/math_instruct | |
Let p be 86/14 - (-24 + 30). What is the smallest value in p, -2/3, 4/27?\n | -2/3\n | ibivibiv/math_instruct | |
What is the fifth root of 66740 to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
List the prime factors of 24065.\n | 5, 4813\n | ibivibiv/math_instruct | |
Collect the terms in -7*b**2 - 5*b**2 + b**2 + 12*b**2 + b**2.\n | 2*b**2\n | ibivibiv/math_instruct | |
Calculate 0.3679 - 0.6.\n | -0.2321\n | ibivibiv/math_instruct | |
What is 0.00036042 rounded to five dps?\n | 0.00036\n | ibivibiv/math_instruct | |
Calculate -5 divided by 2019349.\n | -5/2019349\n | ibivibiv/math_instruct | |
What are the prime factors of 230603?\n | 19, 53, 229\n | ibivibiv/math_instruct | |
Let o be -3 + (0 - 1) + -13. Let i = -15 - o. Solve -r = 2*t - 3, i*r = r + 5 for t.\n | -1\n | ibivibiv/math_instruct | |
If TreShauns marker has enough ink to paint three 4 inch by 4 inch squares and he colors in two 6 inch by 2 inch rectangles, what is the percentage of ink that is remaining in the marker? | The area of each 4 inch by 4 inch square is 4*4 = 16 square inches.
Since TreShaun can paint three 4 inch by 4 inch squares, he can paint a total of 3*16 = 48 square inches.
The area of each 6 inch by 2 inch rectangle is 6*2 = 12 square inches.
Since TreShaun colors in two 6 inch by 2 inch rectangles, he colors in a to... | ibivibiv/math_instruct | |
Rearrange 56*n**2 - 57*n**2 + 0*n + 2*n to g + c*n**2 + s*n and give s.\n | 2\n | ibivibiv/math_instruct | |
List the prime factors of 29065508.\n | 2, 163, 44579\n | ibivibiv/math_instruct | |
Let c(o) = 6*o + 1. Let z(n) = n + 1. What is c(b) - 2*z(b)?\n | 4*b - 1\n | ibivibiv/math_instruct | |
Let x = -14 - -17. Suppose -x*k + 15 = -12. Suppose k*c = 8*c + 73. List the prime factors of c.\n | 73\n | ibivibiv/math_instruct | |
Let u(l) be the second derivative of 2/3*l**3 + 0 - l + 0*l**2 - 1/12*l**4. What is the second derivative of u(t) wrt t?\n | -2\n | ibivibiv/math_instruct | |
Divide 105 by -7.\n | -15\n | ibivibiv/math_instruct | |
Calculate -14*(-30)/(-5880)*(1 - 9).\n | 4/7\n | ibivibiv/math_instruct | |
Let l(q) = q**3 + 6*q**2 + 3*q - 6. Let i be l(-5). Suppose 4 = 5*k - 16. Suppose -k*p + 21 = -s, 4*s = -p + 2*s - 6. Solve 4*f = -p - i for f.\n | -2\n | ibivibiv/math_instruct | |
Does 11 divide 2014591193?\n | False\n | ibivibiv/math_instruct | |
Which is the fourth smallest value? (a) -1/2 (b) -2/5 (c) -4 (d) -1 (e) 14\n | b\n | ibivibiv/math_instruct | |
Let g = -3217 + 64439/20. Calculate the common denominator of 75/1114 and g.\n | 11140\n | ibivibiv/math_instruct | |
Solve 10 = -k + 2*f, 0 = 2*k + 5*f - 7 for k.\n | -4\n | ibivibiv/math_instruct | |
How many minutes are there between 6:52 AM and 12:16 PM?\n | 324\n | ibivibiv/math_instruct | |
Let u = 947 + -897. What is the least common multiple of u and (3 + -2)*(2 + 53)?\n | 550\n | ibivibiv/math_instruct | |
How many minutes are there between 11:14 AM and 12:52 PM?\n | 98\n | ibivibiv/math_instruct | |
Let c(y) = -27*y**2 - 206*y + 2. Determine c(-4).\n | 394\n | ibivibiv/math_instruct | |
Factor -p**4 - 9*p**3 + 36*p**2 - 4*p - 48.\n | -(p - 2)**2*(p + 1)*(p + 12)\n | ibivibiv/math_instruct | |
What is (-11286)/(-99)*1/6?\n | 19\n | ibivibiv/math_instruct | |
Let u(n) = 2*n**3 - 13*n**2 - 2*n - 32. Let f be u(7). Let h = -15 - -16. Solve h + f = -2*t for t.\n | -2\n | ibivibiv/math_instruct | |
Let q = 2/41 + 21/410. Let t(a) be the second derivative of -3*a - 1/4*a**4 + 0*a**5 - q*a**6 + 0*a**3 + 0*a**2 + 0. What is the third derivative of t(p) wrt p?\n | -72*p\n | ibivibiv/math_instruct | |
Expand (3 + 2 - 3)*(0 - 2 + 0)*(-4*k + 0*k + 2*k).\n | 8*k\n | ibivibiv/math_instruct | |
Does 144 divide 2037600?\n | True\n | ibivibiv/math_instruct | |
Factor 4 - 3*l + 60*l**2 - 62*l**2 - 4 + l**3.\n | l*(l - 3)*(l + 1)\n | ibivibiv/math_instruct | |
How many minutes are there between 2:59 AM and 1:19 PM?\n | 620\n | ibivibiv/math_instruct | |
Let h be (-20)/(-5)*39/4. Let y be 8/(-2)*h/(-12). Let d = 212 - 121. Calculate the highest common divisor of d and y.\n | 13\n | ibivibiv/math_instruct | |
Is 198 a multiple of 6?\n | True\n | ibivibiv/math_instruct | |
Let d(w) be the second derivative of -w**4/6 - w**3/3 + 4*w. Factor d(l).\n | -2*l*(l + 1)\n | ibivibiv/math_instruct | |
What is the fourth root of 323586 to the nearest integer?\n | 24\n | ibivibiv/math_instruct | |
What is the value of ((-928)/(-6264))/(4/(-156)*2)?\n | -26/9\n | ibivibiv/math_instruct | |
b"What is the mth term of -2239705, -2239701, -2239697, -2239693?\n" | 4*m - 2239709\n | ibivibiv/math_instruct | |
-b39 (base 12) to base 14\n | -845\n | ibivibiv/math_instruct | |
Let j = -2 + 0. Suppose 0 = -2*r - 2*b - 0*b - 12, 0 = -5*r - b - 18. Suppose -3 = 5*i - w, -5*w = 5*i - 8 - 7. Sort i, j, r in descending order.\n | i, j, r\n | ibivibiv/math_instruct | |
List the prime factors of 33479994.\n | 2, 3, 53, 127, 829\n | ibivibiv/math_instruct | |
Let i be (4/(-10))/(6/(-30)) - 9/4. Which is bigger: i or 546?\n | 546\n | ibivibiv/math_instruct | |
Which is the nearest to -4? (a) -156 (b) -4 (c) 1/2 (d) 18 (e) 4/7 (f) -0.5\n | b\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {z: 8, i: 2, g: 3, h: 2, a: 5}. Give prob of picking 2 i.\n | 1/190\n | ibivibiv/math_instruct | |
What is 302 minutes before 4:00 PM?\n | 10:58 AM\n | ibivibiv/math_instruct | |
Let p be 1/(9/3 - 2). Let u be (2/(-8))/((-9)/(-36)). What is the tens digit of (u*p)/(13/(-637))?\n | 4\n | ibivibiv/math_instruct | |
What is the units digit of (-1335)/6*(-760)/100?\n | 1\n | ibivibiv/math_instruct | |
What is next in -5127, -5103, -5091, -5097, -5127, -5187?\n | -5283\n | ibivibiv/math_instruct | |
Let i(k) = -k - 1. Let a be i(-1). Suppose 4*r - 5*s = -26, -r = s - 6*s + 14. Let o be (r/(-5))/(2/5). Sort o, -5, a in increasing order.\n | -5, a, o\n | ibivibiv/math_instruct | |
Suppose 2*u + 3 = 19. Which is the closest to 0.16? (a) 4 (b) u (c) 3\n | c\n | ibivibiv/math_instruct | |
Let b be ((-1)/6)/((-12)/72)*-2. Let k be 4/4 + (b - -3). Let c = 96 + k. Does 14 divide c?\n | True\n | ibivibiv/math_instruct | |
Add together -35856504184 and -48.\n | -35856504232\n | ibivibiv/math_instruct | |
Let i = -1997 + 2015.589. Let o = -18.7 + i. Let v = o + 44.111. Does 0 = v?\n | False\n | ibivibiv/math_instruct | |
Suppose 3*t + 4*j = -t + 32, -3*j = -4*t + 18. Let h(u) = -u**3 + 4 - 7*u + 0 + 2*u**3 - t*u**2. What is the lowest common multiple of h(7) and 11?\n | 44\n | ibivibiv/math_instruct | |
Suppose 2*b - 4 - 4 = 0. Let r(n) = -n**3 - n**2 + 5*n - 3. Let p be r(2). What is the biggest value in b, p, -14/3?\n | b\n | ibivibiv/math_instruct |
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