instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 639488 to the power of 1/9, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Let v(u) = -2*u**2 + 324. Let f(q) = 7*q**2. Calculate f(v(n)).\n | 28*n**4 - 9072*n**2 + 734832\n | ibivibiv/math_instruct | |
Solve 4*y**2/3 + 16374296*y/3 = 0.\n | -4093574, 0\n | ibivibiv/math_instruct | |
Solve 3*m + 141*o = 140*o + 67, -3*m + 2*o + 82 = 0 for m.\n | 24\n | ibivibiv/math_instruct | |
What comes next: 10969, 21802, 32499, 43060, 53485, 63774?\n | 73927\n | ibivibiv/math_instruct | |
13934.8612*0\n | 0\n | ibivibiv/math_instruct | |
Is 36931086887 composite?\n | True\n | ibivibiv/math_instruct | |
Solve -5*d + 4 = -16*w - 3*d, 2*d = 2*w + d + 2 for w.\n | 0\n | ibivibiv/math_instruct | |
What is the result of the following expression?
61.445 % (2.438 + 58.36) | 0.6470 | ibivibiv/math_instruct | |
Let s(z) = -z**3 + 5*z**2 - z + 8. Let f(h) = h**3 + 12*h**2 - 10*h + 30. Let g be f(-13). Is s(g) prime?\n | True\n | ibivibiv/math_instruct | |
Let y(u) = -u + 3. Let k be y(0). Find the second derivative of k*z + 3*z**4 + 3*z - 2*z wrt z.\n | 36*z**2\n | ibivibiv/math_instruct | |
Express -118*s + 40*s - 161*s - 27*s in the form n + d*s and give d.\n | -266\n | ibivibiv/math_instruct | |
Let d = 104 - 516/5. Which is the biggest value? (a) d (b) -0.5 (c) -0.1\n | a\n | ibivibiv/math_instruct | |
Let p(k) = k**3 - k - 1. Let x(u) = 21*u**3 - 3*u - 3. Calculate 9*p(w) - 3*x(w).\n | -54*w**3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from efeokeeekekfeffkege. Give prob of picking 1 o and 3 f.\n | 1/969\n | ibivibiv/math_instruct | |
Let x = 27 - 29. Which is the second smallest value? (a) -3 (b) -1 (c) -0.5 (d) x\n | d\n | ibivibiv/math_instruct | |
What is 3/40 of a litre in millilitres?\n | 75\n | ibivibiv/math_instruct | |
Factor -2*v**2/11 + 256*v/11 - 8192/11.\n | -2*(v - 64)**2/11\n | ibivibiv/math_instruct | |
What is the value of (-37 - -39) + (-5 - 5)?\n | -8\n | ibivibiv/math_instruct | |
What is -10.914689 rounded to three decimal places?\n | -10.915\n | ibivibiv/math_instruct | |
Round 0.0004996408 to four dps.\n | 0.0005\n | ibivibiv/math_instruct | |
Does 14 divide 45750?\n | False\n | ibivibiv/math_instruct | |
Suppose 3*l = 4*l + 3*x - 21, 3*l = 5*x - 7. Solve w - l*w + 25 = 0 for w.\n | 5\n | ibivibiv/math_instruct | |
Round 0.0334168 to 3 dps.\n | 0.033\n | ibivibiv/math_instruct | |
Let u(t) = 13*t**2 - 102*t - 27. Determine u(8).\n | -11\n | ibivibiv/math_instruct | |
Calculate -31992158 divided by 3.\n | -31992158/3\n | ibivibiv/math_instruct | |
29414849 - -0.5\n | 29414849.5\n | ibivibiv/math_instruct | |
1 - (324/33 - 9)\n | 2/11\n | ibivibiv/math_instruct | |
Suppose 0*a - 20 = -a. Suppose -4*z - 4*m + a = 0, -5*z = -4*z - 5*m + 1. Suppose 2*o = 2 + z. Solve 0 = w + 4*s - 23, 4*w + 3*s - o = 24 for w.\n | 3\n | ibivibiv/math_instruct | |
What is the difference between 4 and -0.0349?\n | 4.0349\n | ibivibiv/math_instruct | |
What is the third derivative of 91*j**3*m**3 + 3*j**3*m**2 + 6*j**3 - 50*j**2*m**5 - 3*j**2 - 46*m**2 wrt m?\n | 546*j**3 - 3000*j**2*m**2\n | ibivibiv/math_instruct | |
Let k(m) = 2*m**2 - 2*m. Let q(p) = 9*p**2 - 10*p - 1. Calculate -11*k(o) + 2*q(o).\n | -4*o**2 + 2*o - 2\n | ibivibiv/math_instruct | |
What is prob of picking 1 c and 1 g when two letters picked without replacement from {e: 3, c: 1, g: 3, p: 3}?\n | 1/15\n | ibivibiv/math_instruct | |
What is the closest to -21 in -2, 0.038, 2, -1, 44?\n | -2\n | ibivibiv/math_instruct | |
Let t(f) = -f + 3. Let d be t(1). Let p be (d/1)/(-6)*15. Sort 1, p, -2 in decreasing order.\n | 1, -2, p\n | ibivibiv/math_instruct | |
Let f = -9550 - -114685/12. Find the common denominator of 13/4*(-8)/42 and f.\n | 84\n | ibivibiv/math_instruct | |
What is the next term in 8004591, 8004597, 8004609, 8004627, 8004651, 8004681?\n | 8004717\n | ibivibiv/math_instruct | |
What is the next term in -1715556, -3431113, -5146670, -6862227, -8577784?\n | -10293341\n | ibivibiv/math_instruct | |
Two days ago, Uncle Welly planted some roses on his vacant lot. Yesterday, he planted 20 more roses than the previous day. Today, he planted twice the number of roses than two days ago. Uncle Welly planted 220 roses in his vacant lot. How many roses did he plant two days ago? | Lets denote the number of roses Uncle Welly planted two days ago as R.
According to the information given:
- Yesterday, he planted R + 20 roses.
- Today, he planted 2R roses.
The total number of roses planted over the three days is 220, so we can write the equation:
R + (R + 20) + 2R = 220
Combining like terms, we ... | ibivibiv/math_instruct | |
Let w be 174/(-14) + (-6)/(-14). Let z = w - -14. Let c(x) = -z*x**2 - 2*x**2 + 3*x**2. Let y(t) = 2*t**2. What is -3*c(s) - y(s)?\n | s**2\n | ibivibiv/math_instruct | |
What is the third derivative of -6*b*h**3*m*t**2 - b*h**3*m - 8*b*h**3 - 2*b*h**2*m*t**2 + b*h**2*m*t - 2*b*h**2*t**2 - 8*b*h*m*t - h*m*t**2 wrt h?\n | -36*b*m*t**2 - 6*b*m - 48*b\n | ibivibiv/math_instruct | |
Is 0 >= 6/10651?\n | False\n | ibivibiv/math_instruct | |
Let d = -1587.6 + 1018.6. Which is bigger: d or -3/7?\n | -3/7\n | ibivibiv/math_instruct | |
Solve 0 = -6*w + 338 - 398 for w.\n | -10\n | ibivibiv/math_instruct | |
Collect the terms in -5 + 4 - 2962*h**3 + 2407*h**3.\n | -555*h**3 - 1\n | ibivibiv/math_instruct | |
Let q be 0*2/(-6)*-1. Suppose -2*b - 8 = q, 6 = 4*d - 2*b - 6. Let r = -1 + d. Solve 4*o + 0*o + 12 = r for o.\n | -3\n | ibivibiv/math_instruct | |
-42904 times 0.3\n | -12871.2\n | ibivibiv/math_instruct | |
Collect the terms in -6*n**2 + 4*n**2 + 3*n**2.\n | n**2\n | ibivibiv/math_instruct | |
Multiply -0.0748 and -6667.\n | 498.6916\n | ibivibiv/math_instruct | |
What is the third derivative of 49191*m**3 + 2*m**2 - 10716 wrt m?\n | 295146\n | ibivibiv/math_instruct | |
Calculate prob of sequence ujj when three letters picked without replacement from {u: 8, q: 6, j: 3}.\n | 1/85\n | ibivibiv/math_instruct | |
b"What is the rth term of 652, 595, 526, 445?\n" | -6*r**2 - 39*r + 697\n | ibivibiv/math_instruct | |
Is -255 >= -256?\n | True\n | ibivibiv/math_instruct | |
What is the ninth root of 2169 to the nearest integer?\n | 2\n | ibivibiv/math_instruct | |
Rearrange -3*n + 7*n + 54 - 4*n - 2*n**2 to o*n**2 + y + x*n and give x.\n | 0\n | ibivibiv/math_instruct | |
Factor 10*n**2/9 - 381712*n/9 + 76342/9.\n | 2*(n - 38171)*(5*n - 1)/9\n | ibivibiv/math_instruct | |
Suppose -316 = -2*n + n. Suppose c - 68 = -4*h, -c + 6*c = 4*h + n. Suppose -5*q = -20, -3*m - 5*q = 5 - c. Calculate the remainder when 24 is divided by m.\n | 11\n | ibivibiv/math_instruct | |
Let m(u) be the first derivative of -2*u**3/3 - 3*u + 35. Let d(n) = -5*n + n - 9*n + 8*n + 2*n. Calculate d(m(a)).\n | 6*a**2 + 9\n | ibivibiv/math_instruct | |
b"What is the th term of 2421, 2474, 2563, 2688, 2849, 3046?\n" | 18*b**2 - b + 2404\n | ibivibiv/math_instruct | |
Let x = -8868 - -12637. What are the prime factors of x?\n | 3769\n | ibivibiv/math_instruct | |
What is the common denominator of -58/57 and 299280/(-32832) + (-27)/(-3)?\n | 684\n | ibivibiv/math_instruct | |
Let l be (10/15)/((-8)/(-12)). What is the least common multiple of (0 - l)*(0 - 11) and 9?\n | 99\n | ibivibiv/math_instruct | |
What is the value of (-38)/285*(-3)/4?\n | 1/10\n | ibivibiv/math_instruct | |
Find the third derivative of 38*j**2*v**4 + j**2*v - 32*j*v**2 + 3*j + 14*v**3 wrt v.\n | 912*j**2*v + 84\n | ibivibiv/math_instruct | |
Simplify m*m**(1/2)/m*m/((m/(m/(m*m*m**(1/7))))/m) assuming m is positive.\n | m**(5/14)\n | ibivibiv/math_instruct | |
Sort 3, -2, -0.2, 1/3 in increasing order.\n | -2, -0.2, 1/3, 3\n | ibivibiv/math_instruct | |
Let f be 7 - 5/10*2. Let j(y) = 175*y + 44. What are the prime factors of j(f)?\n | 2, 547\n | ibivibiv/math_instruct | |
What is the second biggest value in -1/3, -0.099, -1/9, 0.5?\n | -0.099\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {x: 7, t: 1, z: 5, h: 2, b: 1}. What is prob of sequence hh?\n | 1/120\n | ibivibiv/math_instruct | |
What is prob of picking 2 h when two letters picked without replacement from {h: 6, u: 12}?\n | 5/51\n | ibivibiv/math_instruct | |
Solve 2*j = 2*v, -293*j = -20*v - 298*j + 75 for v.\n | 3\n | ibivibiv/math_instruct | |
Let i(q) = q**2 - 5*q + 3. Let w be i(4). Let j = 50 + -49. Put 2, w, j in decreasing order.\n | 2, j, w\n | ibivibiv/math_instruct | |
How many minutes are there between 1:37 AM and 11:34 AM?\n | 597\n | ibivibiv/math_instruct | |
Suppose 71 + 49 = 15*c. Let y(i) = i - 1. Let v = -2 + 4. Let j be y(v). What is the greatest common factor of c and j?\n | 1\n | ibivibiv/math_instruct | |
What is the tenth root of 76706 to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Calculate the remainder when 416 is divided by 42.\n | 38\n | ibivibiv/math_instruct | |
Calculate prob of sequence ill when three letters picked without replacement from {l: 6, i: 6}.\n | 3/22\n | ibivibiv/math_instruct | |
What is 1.967658 tonnes in micrograms?\n | 1967658000000\n | ibivibiv/math_instruct | |
Solve 21*x - 15*x = 10*x + 57*r - 307, 4*x - r + 2*r - 139 = 0 for x.\n | 34\n | ibivibiv/math_instruct | |
What is prob of sequence lfy when three letters picked without replacement from {l: 6, y: 4, j: 5, f: 1, i: 3, a: 1}?\n | 1/285\n | ibivibiv/math_instruct | |
Let o be (165/6)/((-9)/(-18)). Suppose 4*l - o = -l. Calculate the smallest common multiple of l and 51.\n | 561\n | ibivibiv/math_instruct | |
What is -2012103300 (base 4) in base 9?\n | -1027563\n | ibivibiv/math_instruct | |
Let z be (7 - -49) + 0/(-2). Suppose 2*i + z = 6*i. Let r(h) = h**3 - 15*h**2 + 15*h - 12. Let n be r(i). Solve -t = -n*t for t.\n | 0\n | ibivibiv/math_instruct | |
Convert 3310 (base 5) to base 12.\n | 31b\n | ibivibiv/math_instruct | |
Suppose -3*m - 4*p + 107 = 35, -5*m - 4*p + 112 = 0. Suppose 4*j = -m, 68 + 10 = 2*z + 4*j. What is the highest common divisor of z and 7?\n | 7\n | ibivibiv/math_instruct | |
Let w = -0.32 + 0.22. What is the second biggest value in 4/7, 2/21, w, -0.2?\n | 2/21\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) -0.2 (b) -1 (c) 38/7\n | b\n | ibivibiv/math_instruct | |
Let b = -9605.967 + 9606. What is the third biggest value in 2/7, -0.2, 0, b?\n | 0\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 i and 1 x when three letters picked without replacement from {x: 1, s: 3, i: 5, m: 7, h: 2}.\n | 5/408\n | ibivibiv/math_instruct | |
What comes next: 104342, 104350, 104358, 104366, 104374, 104382?\n | 104390\n | ibivibiv/math_instruct | |
Let g(n) = n + 55. What is the units digit of g(0)?\n | 5\n | ibivibiv/math_instruct | |
What is (2 - (-3 - (-20 - -7))) + 15?\n | 7\n | ibivibiv/math_instruct | |
Solve -j**5/2 - 13*j**4/2 + 17*j**3/2 + 37*j**2/2 - 34*j + 14 = 0.\n | -14, -2, 1\n | ibivibiv/math_instruct | |
What is 2 + -11 - ((3 - -2) + -6 + 28)?\n | -36\n | ibivibiv/math_instruct | |
Solve 71*r + 10*r = -215 - 28 for r.\n | -3\n | ibivibiv/math_instruct | |
Which is the closest to -1/4? (a) 5/7 (b) -0.5 (c) 3 (d) 2/3\n | b\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Rate of change of radius and volume
They put a gas bubble in someone's eye. The volume of a gas bubble changes from $0.4$ $cc$ to $1.6$ $cc$ in $74$ hours. Assuming that the rate of change of the radius is constant, find
... | To tackle this problem, let's first understand the given information and the relationships between the variables involved. We are dealing with a gas bubble inside someone's eye, and its volume changes over time. Specifically, the volume increases from 0.4 cc to 1.6 cc in 74 hours. Our goal is to determine the rates of... | ibivibiv/math_instruct | |
Is 45189335 a prime number?\n | False\n | ibivibiv/math_instruct | |
Expand 0*q**2 + 0*q + 2*q**2 + 2*q - 6*q**2 + 0*q**2 - q**2 + (-q - 1 + 1)*(-2*q + 0 + 0).\n | -3*q**2 + 2*q\n | ibivibiv/math_instruct | |
Let f(r) = -16*r**2 + r. What is f(1)?\n | -15\n | ibivibiv/math_instruct |
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