instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose 100 = 4*l + d, 3*l - 4*d + 29 = 104. Let q = l + -37. Let g be 360001/5 - q/(-60). Round g to the nearest 10000.\n | 70000\n | ibivibiv/math_instruct | |
Let d = 8 - 9. Let y(q) = 3*q**3 - 2*q**2 + 2*q - 1. Calculate the least common multiple of y(1) and 21 + (-1 - d - 3).\n | 18\n | ibivibiv/math_instruct | |
Convert 8235.651 days to milliseconds.\n | 711560246400\n | ibivibiv/math_instruct | |
Evaluate -2 - 13 - (-19 - (54 - 46 - (1 - -25))).\n | -14\n | ibivibiv/math_instruct | |
What is the tens digit of 541?\n | 4\n | ibivibiv/math_instruct | |
Calculate 1328/(-1976) - (-4020)/19095.\n | -6/13\n | ibivibiv/math_instruct | |
Suppose -4*p = 5 - 21. Which is the smallest value? (a) -4 (b) -0.1 (c) p (d) -1/4\n | a\n | ibivibiv/math_instruct | |
Let v be (-57)/2*(-28)/2. Suppose -4*o - v = -5*q, 47 + 190 = 3*q - 3*o. Is q a prime number?\n | True\n | ibivibiv/math_instruct | |
Let h = 0.23 + -0.23. Sort -3, 1/2, h.\n | -3, h, 1/2\n | ibivibiv/math_instruct | |
Solve 2*n - 4 = 5*c, -5*n - 2*c = 23 - 4 for n.\n | -3\n | ibivibiv/math_instruct | |
List the prime factors of 154207465.\n | 5, 241, 127973\n | ibivibiv/math_instruct | |
Let z(f) be the third derivative of -7*f**4/24 + f**3/6 - 5*f**2 + 23*f. What is z(5)?\n | -34\n | ibivibiv/math_instruct | |
In base 11, what is 41565896 + -5?\n | 41565891\n | ibivibiv/math_instruct | |
Let b(t) = -7*t**3 + 11*t**2 - 5*t - 7. Let u(f) = -11*f**3 + 17*f**2 - 8*f - 11. What is -8*b(g) + 5*u(g)?\n | g**3 - 3*g**2 + 1\n | ibivibiv/math_instruct | |
Let z(x) = -21*x**2 + 21*x - 1. Suppose -20*v + 5 = -15*v. Let n be z(v). Let p(k) = 2*k**3 + k - 1. Let a be p(1). What is the nearest to n in 4, 3, a?\n | a\n | ibivibiv/math_instruct | |
What is next in 2055, 16308, 54951, 130164, 254127?\n | 439020\n | ibivibiv/math_instruct | |
Round 31.47 to the nearest ten.\n | 30\n | ibivibiv/math_instruct | |
190/(-55) - -2 - -3*(-4)/(-6)\n | 6/11\n | ibivibiv/math_instruct | |
Let t(a) = 2 + 3*a + 11*a**2 + 0*a**2 - 4 - 10*a**2. Let w be t(-4). What is the first derivative of 22*s + 0 - 8*s + w + 4 wrt s?\n | 14\n | ibivibiv/math_instruct | |
Let h = -958/37549 + 30638797/846204264. Let r be (32528/(-2504) - -13)*(-1)/(-3). Let v = r + h. Is v at most 1?\n | True\n | ibivibiv/math_instruct | |
Let u(a) be the first derivative of 2549*a**4/2 + 3*a**3 + 62*a - 3699. Find the third derivative of u(z) wrt z.\n | 30588\n | ibivibiv/math_instruct | |
Let r(h) = h**2 + 10*h - 36. Let d be r(-13). Solve 2*a + a + d = 0 for a.\n | -1\n | ibivibiv/math_instruct | |
Let n(x) = 4*x**2 - 19*x - 10. Determine n(5).\n | -5\n | ibivibiv/math_instruct | |
Rearrange 2*h - 2*h + 5*h + (0 - 2 + 1)*(-352 - 20*h - h + 350) to z + s*h and give s.\n | 26\n | ibivibiv/math_instruct | |
Let b = -60 + 199. Let f = -106 + b. Suppose -f*y = -38*y + 15. Is y a multiple of 3?\n | True\n | ibivibiv/math_instruct | |
b"What is the th term of 83317, 333297, 749939, 1333243?\n" | 83331*b**2 - 13*b - 1\n | ibivibiv/math_instruct | |
Expand (3 - 3 - 2*o**2)*(-3*o - 2*o + 0*o + (1 + 1 - 1)*(-1 + 2*o + 1)).\n | 6*o**3\n | ibivibiv/math_instruct | |
Let i(q) = 5*q**2 - 11. Let u(f) = f + 13. Let k = -1 + -8. What is the remainder when i(-3) is divided by u(k)?\n | 2\n | ibivibiv/math_instruct | |
Round -24799 to the nearest 1000.\n | -25000\n | ibivibiv/math_instruct | |
Which is the closest to 1/3? (a) -78.6 (b) 3 (c) -1/5 (d) -51\n | c\n | ibivibiv/math_instruct | |
Let x(o) = -7*o**4 + 5*o**3 - 32*o. Let z(r) = 6*r**4 - 4*r**3 + 31*r. Let m(t) = -4*x(t) - 5*z(t). Find the second derivative of m(n) wrt n.\n | -24*n**2\n | ibivibiv/math_instruct | |
What is w in w**5 - w**4 - 23*w**3 - 39*w**2 - 18*w = 0?\n | -3, -1, 0, 6\n | ibivibiv/math_instruct | |
Let r(t) = 29*t - 197. Calculate r(19).\n | 354\n | ibivibiv/math_instruct | |
Let r = 47 + -51. What is the closest to -2 in -2, r, -0.1?\n | -2\n | ibivibiv/math_instruct | |
Let d(n) be the second derivative of n**3/6 + 13*n**2/2 - 2*n. What is the remainder when d(0) is divided by 8?\n | 5\n | ibivibiv/math_instruct | |
Solve 3*z**4 - 33412119*z**3/4 + 23257689471909*z**2/4 + 4360823562822*z - 1453607158188 = 0 for z.\n | -1, 1/4, 1392172\n | ibivibiv/math_instruct | |
Let g(q) = -q**3 - 5*q**2 + 7*q. Suppose 0 = -5*w + 4*l + 16, 5*w - 5 + 1 = l. Suppose -3*n + w = 18. What is g(n)?\n | -6\n | ibivibiv/math_instruct | |
Solve 57*k - 167 - 105 = 972 + 979 for k.\n | 39\n | ibivibiv/math_instruct | |
Let r be (-2)/6 + (-10)/6. Let a(f) be the second derivative of -f**3/6 + f**2/2 - 16105*f. Let t(u) = 10*u - 2. Determine r*a(g) - t(g).\n | -8*g\n | ibivibiv/math_instruct | |
What is c in -2*c**2 - 11725782*c + 35177364 = 0?\n | -5862894, 3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from yglloglolllg. What is prob of picking 1 l, 2 g, and 1 y?\n | 2/55\n | ibivibiv/math_instruct | |
63649070 divided by 9385\n | 6782\n | ibivibiv/math_instruct | |
Let g = 72753 - 31483. What is the thousands digit of g?\n | 1\n | ibivibiv/math_instruct | |
What is 281733608 to the power of 1/3, to the nearest integer?\n | 656\n | ibivibiv/math_instruct | |
List the prime factors of 2624864.\n | 2, 11, 7457\n | ibivibiv/math_instruct | |
Let u(j) = -5*j - 4. Let x(n) = -6*n - 5. Suppose 20 = 5*m + q, 0 = 3*q - 6*q. Calculate m*x(k) - 5*u(k).\n | k\n | ibivibiv/math_instruct | |
Find the common denominator of -37/300 and 99/236.\n | 17700\n | ibivibiv/math_instruct | |
Simplify ((l**6)**(1/19)/(l*l**19*l/l**(4/5)))**(24/7) assuming l is positive.\n | l**(-45336/665)\n | ibivibiv/math_instruct | |
Let -2*d**2/13 + 74404*d/13 = 0. Calculate d.\n | 0, 37202\n | ibivibiv/math_instruct | |
Let h = 0.8 - 4.8. Let k = h + 4.4. Let o = -1.3 - 3.7. Which is the third smallest value? (a) o (b) k (c) 1/3\n | b\n | ibivibiv/math_instruct | |
Let i = 2 - 1. Suppose -5*f = -i + 11. Let g = 1677.6 + -1678. Which is the closest to -2/5? (a) -3 (b) f (c) g\n | c\n | ibivibiv/math_instruct | |
Let u(o) = -328*o - 364. Let w(l) = -219*l - 260. Let q(a) = -5*u(a) + 7*w(a). Let j(r) = 16*r. Determine j(q(d)).\n | 1712*d\n | ibivibiv/math_instruct | |
Suppose -4*c + x - 10 = 0, 2*c + 4*x + 14 = -0*c. Let y be c/12 - 51/(-12). Solve y*l - 4*g = -5*g - 11, -3*l = -g + 17 for l.\n | -4\n | ibivibiv/math_instruct | |
Simplify -4*-5*(sqrt(162) + 0 - sqrt(162))*-1.\n | 0\n | ibivibiv/math_instruct | |
Let x = -1.0221 + 0.7221. Let a = 4.5 - -0.5. What is the second smallest value in -3, a, -4, x?\n | -3\n | ibivibiv/math_instruct | |
Convert -8810a2 (base 11) to base 3.\n | -2122111000100\n | ibivibiv/math_instruct | |
Put -1, -23, -5 in decreasing order.\n | -1, -5, -23\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 614757 and 572.\n | 143\n | ibivibiv/math_instruct | |
Let d(j) = j**2 - 4*j - 17. Let h be d(7). Suppose 5*k = -h*p + 5*p - 9, 2*k = -2. Let l = -11/3 + p. Which is smaller: -1 or l?\n | -1\n | ibivibiv/math_instruct | |
Suppose -2*n - 30 = -4*n. Let w = 201 + -186. What is the greatest common factor of w and n?\n | 15\n | ibivibiv/math_instruct | |
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"# A balanced lever has two weights on it, the first with mass 15 kg and the second with mass 27 kg. If the first weight is 8 m from the fulcrum, how far is the second weight from the fulcrum?
Feb 15, 2016
$x = \frac{40}{9... | The principle of moments, also known as Varignon's theorem, states that the moment of a force about a point is equal to the product of the force and its distance from the point. This concept is crucial in understanding levers, which are simple machines consisting of a bar that pivots around a fixed point called the fu... | ibivibiv/math_instruct | |
What is the result of the following expression?
-76.5817 / -26.7868 | 2.8589 | ibivibiv/math_instruct | |
What is the next term in -14, -19, -24, -29, -34?\n | -39\n | ibivibiv/math_instruct | |
Let r be (-752)/18 + ((-32)/72)/2. Let c = -38 - r. Solve c*j + 4*t = -8, -j + 3*j = -t - 6 for j.\n | -4\n | ibivibiv/math_instruct | |
What is 26355728 divided by 56?\n | 470638\n | ibivibiv/math_instruct | |
Calculate prob of sequence wfwq when four letters picked without replacement from {q: 1, f: 2, s: 5, c: 2, w: 2, u: 1}.\n | 1/4290\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 7 and 1917705643.\n | 7\n | ibivibiv/math_instruct | |
What is -914.85 rounded to the nearest 10?\n | -910\n | ibivibiv/math_instruct | |
How many micrometers are there in 222618.1nm?\n | 222.6181\n | ibivibiv/math_instruct | |
Let y = -396 + 478. Is y a multiple of 21?\n | False\n | ibivibiv/math_instruct | |
In base 6, what is -10044 - -1505423?\n | 1455335\n | ibivibiv/math_instruct | |
How many minutes are there between 10:58 PM and 3:50 AM?\n | 292\n | ibivibiv/math_instruct | |
Let d = -2950 + 2970. Is 7 equal to d?\n | False\n | ibivibiv/math_instruct | |
Solve 0 = -3*z - 2*d + 56116 - 56112, 4*z = 17*d + 84 for z.\n | 4\n | ibivibiv/math_instruct | |
Is 1223026401 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let k be 2 - (-4 + 4 + 4). Calculate the remainder when 84 + k + -2 + 12/4 is divided by 29.\n | 25\n | ibivibiv/math_instruct | |
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"# How to solve Absolute Value Inequality: |x-1| ≥ 3-x
I am learning the topic of solving absolute value inequality question. I had mostly understood the steps in order to solve for an inequality. However, I'm still clueless ... | To understand the solution of the inequality $|x-1| o ge 3-x$, it is important to first review some fundamental concepts regarding absolute values and inequalities. An absolute value represents the distance between a number and zero on the number line, regardless of direction. Therefore, $|x-1|$ denotes the distance ... | ibivibiv/math_instruct | |
Let t(x) = 2*x**2 + x**2 + 0*x**2. Let f = 12 - -117. Let r(d) = 129 - d - f. Give r(t(m)).\n | -3*m**2\n | ibivibiv/math_instruct | |
Suppose 3*w**4/5 + 66*w**3/5 + 75*w**2 + 312*w/5 = 0. What is w?\n | -13, -8, -1, 0\n | ibivibiv/math_instruct | |
Which is smaller: -2704992 or -2704993?\n | -2704993\n | ibivibiv/math_instruct | |
Let m(i) = 10*i**2 + i - 1. Let n(v) = v**2 - v. Let f(q) = 2*m(q) + 2*n(q). Differentiate f(r) with respect to r.\n | 44*r\n | ibivibiv/math_instruct | |
Solve -t - 4*i + 1409599 - 1409621 = 0, -i - i = 5*t + 2 for t.\n | 2\n | ibivibiv/math_instruct | |
What is next in 92, 105, 142, 215, 336, 517, 770, 1107?\n | 1540\n | ibivibiv/math_instruct | |
Suppose 3*x + 2 = -2*h + 21, 2*x - 42 = -4*h. Suppose 2*y = -t + h + 8, 0 = -t + 5. Solve -2*w + 2*d - 4 = 0, -w - 8 = y*d - 2*d for w.\n | -3\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {n: 1, s: 2, i: 2, q: 1, e: 2, h: 1}. What is prob of sequence si?\n | 1/18\n | ibivibiv/math_instruct | |
What is 5.87707 centuries in years?\n | 587.707\n | ibivibiv/math_instruct | |
Let m = -0.13 - 0.17. Let f be (-2)/8 - (-22)/(-8). Which is the third biggest value? (a) f (b) -0.4 (c) m\n | a\n | ibivibiv/math_instruct | |
What comes next: 18, 41, 70, 105?\n | 146\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-21.0555 * 43.5675) - -27.7598 | -889.5757 | ibivibiv/math_instruct | |
Sort -80, 0.1, 16, 1/12 in increasing order.\n | -80, 1/12, 0.1, 16\n | ibivibiv/math_instruct | |
Is 68009 a prime number?\n | False\n | ibivibiv/math_instruct | |
Is 27 a factor of ((-314)/(-8))/(8/32 - 0)?\n | False\n | ibivibiv/math_instruct | |
Let g be ((-5)/4)/(1/4). Let j(r) = 4*r**3 + 8*r**2 - 8*r + 2. Let n(h) = -h**3 + h**2 + 4*h. Let q(z) = j(z) + 3*n(z). Is 12 a factor of q(g)?\n | True\n | ibivibiv/math_instruct | |
Let k(g) = -g - 3. Let x be k(-9). Let m be (-2)/(-2) + (x - 4). Solve 1 + m = -2*d + 2*q, -6 = -4*d - 3*q for d.\n | 0\n | ibivibiv/math_instruct | |
Let o = -57 - -53. Let p = 1051 + -1051.1. Which is the nearest to p? (a) 5 (b) o (c) 0.1\n | c\n | ibivibiv/math_instruct | |
Simplify 1*(1 + (0 + sqrt(325) + 2 - (sqrt(325) + 1 + sqrt(325) + 1))**2*2)*5.\n | 3255\n | ibivibiv/math_instruct | |
In base 6, what is 4520 + 10245020?\n | 10253540\n | ibivibiv/math_instruct | |
Let b(p) = p**3 + 5*p**2 + 7*p + 17. Let h be b(-4). Suppose -h*f - 2*w + 3*w = -25, 5*f + 2*w - 10 = 0. Solve -a + f*d - d = 2, 0 = -5*a + 4*d + 12 for a.\n | 4\n | ibivibiv/math_instruct | |
Divide 3 by -18.\n | -1/6\n | ibivibiv/math_instruct | |
What is the closest to 1/6 in 1.76, -0.14, -0.5, 2/17?\n | 2/17\n | ibivibiv/math_instruct |
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