instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Express (w + 2*w - 4*w)*(-28 + 21 + 7 + 2180*w) as f*w + d*w**2 + x and give d.\n | -2180\n | ibivibiv/math_instruct | |
Let x(i) = -3824*i + 784. List the prime factors of x(-3).\n | 2, 383\n | ibivibiv/math_instruct | |
What is the second biggest value in -15.1, 4, -1/5?\n | -1/5\n | ibivibiv/math_instruct | |
Is 16340 at least as big as 212432/13?\n | False\n | ibivibiv/math_instruct | |
838253946 divided by 3\n | 279417982\n | ibivibiv/math_instruct | |
What is the value of (-17 - 5) + 6 + -667 + 690?\n | 7\n | ibivibiv/math_instruct | |
Let v = 1 - 0.9. Let s = 46 - 45. Let d be 3/(-6) - 27/(-46). Which is the nearest to s? (a) -2 (b) v (c) d\n | b\n | ibivibiv/math_instruct | |
What comes next: -26600, -106501, -239698, -426191, -665980?\n | -959065\n | ibivibiv/math_instruct | |
What is the third derivative of 1967*f**6 + 3897*f**2?\n | 236040*f**3\n | ibivibiv/math_instruct | |
Let r be (0/1)/(-3) + 0. Solve -5*x + x + 16 = r for x.\n | 4\n | ibivibiv/math_instruct | |
Is 3022603 prime?\n | False\n | ibivibiv/math_instruct | |
Let z(k) = 4*k**2 - 48*k + 5. Let o(i) = -16*i**2 + 192*i - 18. What is 6*o(p) + 22*z(p)?\n | -8*p**2 + 96*p + 2\n | ibivibiv/math_instruct | |
What is the value of (0 - (-8)/38)*(-469)/(-938)?\n | 2/19\n | ibivibiv/math_instruct | |
Let m = 3134282 - 10162982. Round m to the nearest one hundred thousand.\n | -7000000\n | ibivibiv/math_instruct | |
Find the third derivative of -83*m**2*v**3 - 4957*m**2*v**2 - m*v**3 - 3*m*v**2 - 59*v**3 + 5*v**2 wrt v.\n | -498*m**2 - 6*m - 354\n | ibivibiv/math_instruct | |
Which is bigger: -2142 or -2156?\n | -2142\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Thread: (M2) Mechanics collision question
1. ## (M2) Mechanics collision question
A small smooth ball strikes a smooth vertical wall at right angles.
Its kinetic energy after impact is one-half of its initial kinetic ene... | The problem you are facing involves determining the coefficient of restitution (e) between a small smooth ball and a smooth vertical wall, given that the kinetic energy of the ball after impact is one-half of its initial kinetic energy. To solve this problem, let's first understand some key concepts involved.
**Coeff... | ibivibiv/math_instruct | |
Suppose 0 = 2*x - 27 - 39. What is the greatest common divisor of 11 and x?\n | 11\n | ibivibiv/math_instruct | |
Let o(u) = -3*u + 4. Calculate o(-2).\n | 10\n | ibivibiv/math_instruct | |
Which is the nearest to 0.2? (a) 1 (b) 1/2 (c) 1/20 (d) 57\n | c\n | ibivibiv/math_instruct | |
What is the sixth root of 16853 to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
Let m(q) be the second derivative of -3*q + q**2 + 1/3*q**3 + 0. Let r be (1 + -6)/(17 + 728/(-39)). What is m(r)?\n | 8\n | ibivibiv/math_instruct | |
Sort 14, 2, -6, 27828 in descending order.\n | 27828, 14, 2, -6\n | ibivibiv/math_instruct | |
Solve 4*n + 42*h - 49*h = 6, 5*h + 5 = 3*n for n.\n | 5\n | ibivibiv/math_instruct | |
What is 221922361 to the power of 1/2, to the nearest integer?\n | 14897\n | ibivibiv/math_instruct | |
Let y(n) be the first derivative of -n**3/3 + 1243. Let x(f) = -13*f**2 - 7. Determine y(x(z)).\n | -169*z**4 - 182*z**2 - 49\n | ibivibiv/math_instruct | |
Evaluate ((-11)/((-11)/2))/1*(-6)/(-4).\n | 3\n | ibivibiv/math_instruct | |
Is 40798321 a prime number?\n | False\n | ibivibiv/math_instruct | |
Find the second derivative of -753*g**3 - 5582*g wrt g.\n | -4518*g\n | ibivibiv/math_instruct | |
Let v = -52.981 + 0.481. Let s = 50.69 - -1.31. Let u = v + s. What is the biggest value in u, 2/3, -3?\n | 2/3\n | ibivibiv/math_instruct | |
Suppose 0 = 5*w + 2*d - 126, 5*d - 4*d = -5*w + 123. Let y be (-148)/w + 1/6. Calculate the common denominator of ((-11)/8)/(y/104) and 46/11.\n | 66\n | ibivibiv/math_instruct | |
Suppose -8*q = -6*q. Solve 2*w - 4*t + 22 = q, w = -w - 2*t - 4 for w.\n | -5\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-87.8129 % 8.4019 | 4.6080 | ibivibiv/math_instruct | |
-314427 - -6512\n | -307915\n | ibivibiv/math_instruct | |
Let m = 2135/88 + 23307/3080. Is 33 smaller than m?\n | False\n | ibivibiv/math_instruct | |
Suppose -65 = -3*a + b, 2*b = -0*b + 2. Suppose -h + 13 = 5*k - 2, 0 = h - k - 21. What is the least common multiple of a and h?\n | 220\n | ibivibiv/math_instruct | |
Find the common denominator of 81/116 and -11/112.\n | 3248\n | ibivibiv/math_instruct | |
What is 3018.8 millimeters in kilometers?\n | 0.0030188\n | ibivibiv/math_instruct | |
Calculate the remainder when 18426922 is divided by 2303363.\n | 18\n | ibivibiv/math_instruct | |
Let k = 110 + -105. What is the remainder when 5 is divided by k?\n | 0\n | ibivibiv/math_instruct | |
Let l be 6/9 + ((-755)/120 - -6). Suppose 70*c = 72*c - 2. Which is greater: l or c?\n | c\n | ibivibiv/math_instruct | |
Let o(z) = -2*z. Let g(p) = 0*p**2 + 4 + 4*p**2 + p**2. Let w(n) = 14*n**2 + 11. Let x(c) = -11*g(c) + 4*w(c). Determine x(o(a)).\n | 4*a**2\n | ibivibiv/math_instruct | |
Put 6729, 0.261, 3 in descending order.\n | 6729, 3, 0.261\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 32201 and 910.\n | 13\n | ibivibiv/math_instruct | |
Is (0 + 5)*129510/(-50)*10/(-45) a multiple of 9?\n | False\n | ibivibiv/math_instruct | |
Simplify ((-5*1*sqrt(40))/(sqrt(24)/(sqrt(6)*-2)))/(-5*sqrt(40)/sqrt(80))*-3.\n | 12*sqrt(5)\n | ibivibiv/math_instruct | |
Suppose t = 0, 5*x = 8*t - 11*t + 35. Let j be 73/(-5 - x - 0). Let s = -25/4 - j. What is the smallest value in s, 4/9, 1?\n | s\n | ibivibiv/math_instruct | |
What is 1752138318 to the power of 1/3, to the nearest integer?\n | 1206\n | ibivibiv/math_instruct | |
Let q(o) = -o**2 - 3*o. Let v(z) = -3*z**2 + 4*z. Let h(c) = 13*c**2 - 18*c. Let p(f) = 11*f + 79. Let r be p(-7). Let a(i) = r*h(i) + 9*v(i). Give a(q(x)).\n | -x**4 - 6*x**3 - 9*x**2\n | ibivibiv/math_instruct | |
Let c(j) = 3*j**2 - j - 9. Let k(i) = 4*i**2 - i - 9. Let p(m) = 4*c(m) - 5*k(m). Let v be p(5). Let d = 25 - v. Is d prime?\n | True\n | ibivibiv/math_instruct | |
Sort 2, -4, -5 in decreasing order.\n | 2, -4, -5\n | ibivibiv/math_instruct | |
5 times 318016\n | 1590080\n | ibivibiv/math_instruct | |
Sum -22 and 29.5.\n | 7.5\n | ibivibiv/math_instruct | |
b"What is the uth term of 1983, 4230, 6745, 9528, 12579, 15898, 19485?\n" | 134*u**2 + 1845*u + 4\n | ibivibiv/math_instruct | |
Is -807 >= -809?\n | True\n | ibivibiv/math_instruct | |
What is 5/24 of a century in months?\n | 250\n | ibivibiv/math_instruct | |
Let g = -368 - -428. Calculate the remainder when g is divided by 17.\n | 9\n | ibivibiv/math_instruct | |
Suppose 3*h = -8*h - 99. Let p(z) = 8*z + 8. Let r be p(h). Let g = r - -109. Calculate the remainder when g is divided by 25.\n | 20\n | ibivibiv/math_instruct | |
What is 355 minutes before 5:12 AM?\n | 11:17 PM\n | ibivibiv/math_instruct | |
Let x = 202 - 199. Which is the third biggest value? (a) x (b) -3 (c) -13/2\n | c\n | ibivibiv/math_instruct | |
-865258 (base 12) to base 2\n | -1000000110100100100100\n | ibivibiv/math_instruct | |
Evaluate 0 - 1 - (8/(-14)*(-151872)/(-4224) - -19).\n | 6/11\n | ibivibiv/math_instruct | |
What is next in -5435, -5436, -5437, -5438, -5439?\n | -5440\n | ibivibiv/math_instruct | |
Suppose -11*g + 7737 = 3579. Calculate the greatest common factor of 42 and g.\n | 42\n | ibivibiv/math_instruct | |
Convert 159111.9 litres to millilitres.\n | 159111900\n | ibivibiv/math_instruct | |
Is 153900 a multiple of 100?\n | True\n | ibivibiv/math_instruct | |
Suppose 47 = t + 265. Let d be 14018/(-38) + (-14)/133. Let s = t - d. What are the prime factors of s?\n | 151\n | ibivibiv/math_instruct | |
Let a = 6 - 6.1. Let g = -3544 - -3539.8. What is the biggest value in -0.4, a, g?\n | a\n | ibivibiv/math_instruct | |
Let m(o) be the second derivative of o**4/12 - 4*o**3/3 - 2*o**2 + 3*o. Let c be m(9). Suppose -c*g = -4*t - 1447, 3*g + 2*t = t + 858. Is g a composite number?\n | True\n | ibivibiv/math_instruct | |
Solve -2470*c + 2271*c - 995 = 0 for c.\n | -5\n | ibivibiv/math_instruct | |
Factor m**2/5 + 51*m/5 + 144/5.\n | (m + 3)*(m + 48)/5\n | ibivibiv/math_instruct | |
What is the hundreds digit of 105/175 - (-19244)/10?\n | 9\n | ibivibiv/math_instruct | |
Find l, given that 5*l**5 + 30*l**4 - 5*l**3 - 150*l**2 = 0.\n | -5, -3, 0, 2\n | ibivibiv/math_instruct | |
Let v(q) be the third derivative of q**5/6 - q**4/24 + q**2. Let b = 7 + -6. List the prime factors of v(b).\n | 3\n | ibivibiv/math_instruct | |
Suppose b - 4*b = -2*j + 12, 4*j = 5*b + 24. Let x(d) = d. Let c be x(j). Calculate the greatest common factor of 12 and c.\n | 6\n | ibivibiv/math_instruct | |
Let v(u) = 13*u - 268. Let o be v(22). Solve -2*r + 4*r + 14 = -4*p, -3*r - 3*p - o = 0 for r.\n | -5\n | ibivibiv/math_instruct | |
312081 divided by -33\n | -9457\n | ibivibiv/math_instruct | |
What is 341 minutes before 11:20 AM?\n | 5:39 AM\n | ibivibiv/math_instruct | |
Suppose -3*x + 25 = 2*x, -2*x + 25 = 3*h. Let r be 0*(-3)/9 + 16. Solve h*m - m = -r for m.\n | -4\n | ibivibiv/math_instruct | |
Find the second derivative of -547*y**4 - 13*y - 18.\n | -6564*y**2\n | ibivibiv/math_instruct | |
How many years are there in seventeen quarters of a millennium?\n | 4250\n | ibivibiv/math_instruct | |
2.2 + -81172\n | -81169.8\n | ibivibiv/math_instruct | |
Put together -1085128970 and 57.\n | -1085128913\n | ibivibiv/math_instruct | |
Let o(j) = -j - 8. Let v be o(-8). Suppose v = -0*r + 32*r - 3*r. Are r and -24/37 nonequal?\n | True\n | ibivibiv/math_instruct | |
Let d = 1302301 + -464920973/357. Let m = d + -26/21. Put m, 5, -0.8, 2 in descending order.\n | 5, 2, m, -0.8\n | ibivibiv/math_instruct | |
What is 390.997 rounded to the nearest 10?\n | 390\n | ibivibiv/math_instruct | |
Collect the terms in -10*w - 3*w - 2 + 8*w.\n | -5*w - 2\n | ibivibiv/math_instruct | |
Let k(t) = -2*t + t + 2*t + 3 - 2. Let o(b) = 41*b + 3. Let d(p) = 4*k(p) + o(p). Is d(20) prime?\n | True\n | ibivibiv/math_instruct | |
Calculate the common denominator of 29/568 and (-105336)/(-3168)*1/497.\n | 568\n | ibivibiv/math_instruct | |
Work out -1562.04 * 9.2.\n | -14370.768\n | ibivibiv/math_instruct | |
Let h(z) = -12*z**2. Let o(g) = -134*g**2 - 68 - 71*g**2 + 68. Calculate 35*h(r) - 2*o(r).\n | -10*r**2\n | ibivibiv/math_instruct | |
Solve 3*d - 3297*j - 115 = -3301*j, -j = 5*d - 186 for d.\n | 37\n | ibivibiv/math_instruct | |
Let j = 11 - 8. Suppose -j*u + 0 = -6. Which is greater: u or 0?\n | u\n | ibivibiv/math_instruct | |
Three letters picked without replacement from ggggggggg. What is prob of sequence ggg?\n | 1\n | ibivibiv/math_instruct | |
Let p = 37/22 - 2/11. Let n(c) = 2*c**2 - c. Let a(r) = r - 4. Let b be a(3). Let k be n(b). Which is smaller: k or p?\n | p\n | ibivibiv/math_instruct | |
Suppose 2*c + c = 0. Let m = 7 - c. Factor 5*a**4 + a**4 - a**4 - 12*a**2 + m*a**2.\n | 5*a**2*(a - 1)*(a + 1)\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 4304 and 40.\n | 21520\n | ibivibiv/math_instruct | |
750 (base 10) to base 4\n | 23232\n | ibivibiv/math_instruct | |
Suppose -2*i + i + 0*i = 0. Solve -2*b + u + 2 = i, b + 3*u + 6 = -4*b for b.\n | 0\n | ibivibiv/math_instruct | |
In base 4, what is -20000133113 + -1000?\n | -20000200113\n | ibivibiv/math_instruct |
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