instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the closest to 1/9 in 5, 410, -1, -2, 3/5, -3?\n | 3/5\n | ibivibiv/math_instruct | |
One-half of a pound of mangoes costs $0.60. How many pounds can Kelly buy with $12? | One pound of mangoes costs $0.60 x 2 = $1.20.
So Kelly can buy $12/$1.20 = 10 pounds of mangoes.
The answer is 10 | ibivibiv/math_instruct | |
Let p(j) = -2*j**3 - 4*j**2 - 2*j + 1. Let s be 32/(-24) - 4/6. Let l be p(s). Solve 0 = 5*d - l*f - 20, -5*f = -d - d + 20 for d.\n | 0\n | ibivibiv/math_instruct | |
Let w(k) be the second derivative of k**4/12 - k**3/3 - k**2 + k. Let h(v) = -5*v - 20. Let j be h(-5). Let d be w(j). Solve -d*y = -15*y + 8 for y.\n | 4\n | ibivibiv/math_instruct | |
Let q be 40/(45330/(-226150) + 10/50). Round q to the nearest one hundred thousand.\n | -100000\n | ibivibiv/math_instruct | |
Is 3023017 composite?\n | False\n | ibivibiv/math_instruct | |
Let s = -4 + 5. Let x = -44 + s. Let q = 6165 - 6162. Sort -5, x, q in decreasing order.\n | q, -5, x\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 60 and 42495?\n | 15\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {n: 6, h: 7, s: 1, f: 2, q: 4}.\n | 3/95\n | ibivibiv/math_instruct | |
Suppose 13*m - 1008 = -8*m. Suppose 15 + 27 = 3*i - 3*a, 4*a = -4*i + m. Solve 0 = -0*q + q + 5*c + 2, -4*c = -3*q + i for q.\n | 3\n | ibivibiv/math_instruct | |
How many minutes are there between 8:08 AM and 5:36 PM?\n | 568\n | ibivibiv/math_instruct | |
Let z = -15 + 10. Let d be (-6)/(-15) - 13/z. Suppose 0*n + d*n - 6 = 0. Is n a multiple of 2?\n | True\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 1408 and 9629796.\n | 44\n | ibivibiv/math_instruct | |
What is prob of picking 1 p and 1 c when two letters picked without replacement from jtpcjui?\n | 1/21\n | ibivibiv/math_instruct | |
Expand (-4 + 3 + 2)*(54*z + 52*z - 104*z).\n | 2*z\n | ibivibiv/math_instruct | |
Let p(c) = 3*c**2 - 3. Let t(f) be the second derivative of 5*f + f**2 + 0*f**3 - 1/6*f**4 + 0. Let y(b) = -3*p(b) - 5*t(b). Determine g so that y(g) = 0.\n | -1, 1\n | ibivibiv/math_instruct | |
Let u be (3/(-1))/((-1)/(-2)). Let q = u + 10. What is the highest common divisor of q and 4?\n | 4\n | ibivibiv/math_instruct | |
-4144132 (base 5) to base 13\n | -25341\n | ibivibiv/math_instruct | |
Simplify (((t*t**(-7))/(t/t**8))/(t**(-6)/(t*t**(-4))))**(-36) assuming t is positive.\n | t**(-144)\n | ibivibiv/math_instruct | |
Factor -8*p**3 - 2*p**2/7.\n | -2*p**2*(28*p + 1)/7\n | ibivibiv/math_instruct | |
Collect the terms in -861055*u**2 - 857285*u**2 + 1718338*u**2.\n | -2*u**2\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 0.4 (b) 5/2 (c) 12 (d) -0.1\n | d\n | ibivibiv/math_instruct | |
What is the square root of 321171256 to the nearest integer?\n | 17921\n | ibivibiv/math_instruct | |
Let b = 6 - 4. Suppose 0 = c + c - 4. Let x be -1 + b + c + -2. Solve 3 = -t + x for t.\n | -2\n | ibivibiv/math_instruct | |
Suppose 4*b - 11 = 3*b. Suppose 35 - b = 4*a. Suppose a*z - 18 = 3*z. What is the units digit of z?\n | 6\n | ibivibiv/math_instruct | |
Let f(z) = z**3 + z**2 - z - 5. Suppose -3*q = -79 + 31. Suppose -5*t + 4 + q = 0. Suppose t*b - b = 0. Calculate f(b).\n | -5\n | ibivibiv/math_instruct | |
Let t(x) be the third derivative of -1/140*x**5 + 2*x**2 + 0 - 1/7*x**4 - 8/7*x**3 - 41*x. Factor t(k).\n | -3*(k + 4)**2/7\n | ibivibiv/math_instruct | |
Solve 63*a + 326 + 530 = -26 for a.\n | -14\n | ibivibiv/math_instruct | |
Let j(s) = -s. Let m(z) = -1983*z. Calculate m(j(u)).\n | 1983*u\n | ibivibiv/math_instruct | |
What is 10.68739052 rounded to 3 decimal places?\n | 10.687\n | ibivibiv/math_instruct | |
What is 485 minutes before 2:29 AM?\n | 6:24 PM\n | ibivibiv/math_instruct | |
What is 388 minutes before 11:00 PM?\n | 4:32 PM\n | ibivibiv/math_instruct | |
Convert -310e13 (base 15) to base 16.\n | -23950e\n | ibivibiv/math_instruct | |
Let d be -1*2/(-112)*-1867. Let z = -236/7 - d. What is the closest to -0.1 in -2/7, -1, z?\n | -2/7\n | ibivibiv/math_instruct | |
What is the value of 5 - (-2 - (6 + (-6 - 5)))?\n | 2\n | ibivibiv/math_instruct | |
Suppose -4*k = -2*k - 12. Suppose -5*p + k = 4*t, 24 = 4*t - 0*p - 4*p. Suppose -3*l = -t*l + 1. Solve l = 4*m + 5 for m.\n | -1\n | ibivibiv/math_instruct | |
Simplify 5*((-2*sqrt(572) - sqrt(572))/sqrt(11) + sqrt(52) + (2*sqrt(156))/sqrt(3) - -5*(-1 + 5 + sqrt(52)/sqrt(4))).\n | 25*sqrt(13) + 100\n | ibivibiv/math_instruct | |
Let g(a) = a**3 + 7*a**2 - 2*a - 5. Suppose -23 = 2*f + 3*n, 0*f = 5*f + n + 38. Calculate the lowest common multiple of g(f) and 14.\n | 126\n | ibivibiv/math_instruct | |
Sort 8, 1, 5, 371.\n | 1, 5, 8, 371\n | ibivibiv/math_instruct | |
What is 0.27 + 98?\n | 98.27\n | ibivibiv/math_instruct | |
Suppose 486 - 11214 = -12*x. Is 3 a factor of x?\n | True\n | ibivibiv/math_instruct | |
Let t(k) = 181*k - 40868. Give t(225).\n | -143\n | ibivibiv/math_instruct | |
(-2 + 30/36)*40/70\n | -2/3\n | ibivibiv/math_instruct | |
Suppose -15*j = -110 + 5. Suppose 3*w = w + 8. Let d(z) = 0*z - j*z + 3*z - w*z. Let x(y) = -y. Give x(d(k)).\n | 8*k\n | ibivibiv/math_instruct | |
Let p be (0*1/(-10))/2. Which is smaller: 3/7822 or p?\n | p\n | ibivibiv/math_instruct | |
Let a(g) be the second derivative of -g**4/12 - 4*g**3/3 + 3*g**2 - 7*g. Let c be a(-8). Suppose -s + c*s - 35 = 0. What is the units digit of s?\n | 7\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 6669 and 3591.\n | 513\n | ibivibiv/math_instruct | |
Does -517 = -529?\n | False\n | ibivibiv/math_instruct | |
List the prime factors of 9347782.\n | 2, 521, 8971\n | ibivibiv/math_instruct | |
Let b be -2 - 1 - ((-156)/12)/26*46. Suppose k - 5*n = 28, -5*k + 0*n + 4*n = -56. Solve 7*l - b = k for l.\n | 4\n | ibivibiv/math_instruct | |
Let t = -98.19 + 66.19. Which is the second smallest value? (a) -3 (b) -0.2 (c) 5 (d) -0.5 (e) t\n | a\n | ibivibiv/math_instruct | |
Let j = 1/29 - 71/377. Let c = 4 - 4.1. What is the closest to c in 0.2, 1/9, j?\n | j\n | ibivibiv/math_instruct | |
Let s(u) = -2194*u - 2015*u - 102*u - 2. Let c be s(-1). Suppose -3*b - c - 3461 = 0. Round b to the nearest 100.\n | -2600\n | ibivibiv/math_instruct | |
Let a(r) = r**3 + 4*r**2 + 2*r + 2. Let s be 57/(-5) + (-4)/(-10). Let v = 1 - -1. Let o(y) = 5*y + 3*y**3 - 2 + 11*y**2 + v + 5. Determine s*a(z) + 4*o(z).\n | z**3 - 2*z - 2\n | ibivibiv/math_instruct | |
Let n be (-33)/(-22) - (-2)/(-4). What is the common denominator of -85/36 and n*4 - (-95)/(-110)?\n | 396\n | ibivibiv/math_instruct | |
Let g be -1*(-4 + (14 - -1)). Let k(c) = c + 13. Let d be k(g). Suppose d*a + 0*u - 510 = u, 2*a - 518 = 3*u. Is a prime?\n | False\n | ibivibiv/math_instruct | |
Solve -145 + 25 = -10*h for h.\n | 12\n | ibivibiv/math_instruct | |
Solve 76699*r - 76698*r - 2 = 2*x, 2*x = -3*r + 22 for x.\n | 2\n | ibivibiv/math_instruct | |
Let r(u) = -u**2 - 3*u - 2. Let s be r(-2). Let k(q) = 4 + 0*q + q + s*q. Determine k(4).\n | 8\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 4378 and 11.\n | 11\n | ibivibiv/math_instruct | |
List the prime factors of 100/250*(-2060)/(-2).\n | 2, 103\n | ibivibiv/math_instruct | |
Let f = 19770 - 19766. Put -648, f, -3, 5 in descending order.\n | 5, f, -3, -648\n | ibivibiv/math_instruct | |
How many minutes are there between 1:56 PM and 5:25 PM?\n | 209\n | ibivibiv/math_instruct | |
What is 17 divided by -450?\n | -17/450\n | ibivibiv/math_instruct | |
Suppose -5*p + 4*u + 40 = 0, 3*p = -5*u + 1 - 14. Calculate the remainder when 98 is divided by ((-6)/p)/(36/(-600)).\n | 23\n | ibivibiv/math_instruct | |
Expand (2 - w**2 - 2)*(114 + 84 - 104)*(-2*w**2 - w**2 + w**2).\n | 188*w**4\n | ibivibiv/math_instruct | |
Let n be -1 - (3 - 6) - -2. Solve 7 = -n*g - 13 for g.\n | -5\n | ibivibiv/math_instruct | |
Let m(s) = 0 + 2 - 7*s - 28*s - 18. Let w(a) = -70*a - 32. Let y(g) = 7*m(g) - 4*w(g). Find the first derivative of y(l) wrt l.\n | 35\n | ibivibiv/math_instruct | |
What is -27274512 divided by 5?\n | -27274512/5\n | ibivibiv/math_instruct | |
Suppose -5*u - 2*w + 6106 = 0, -2 = -13*w + 14*w. Does 19 divide u?\n | False\n | ibivibiv/math_instruct | |
Solve -8*p = 2527 - 2503 for p.\n | -3\n | ibivibiv/math_instruct | |
Is 257053 a composite number?\n | False\n | ibivibiv/math_instruct | |
Evaluate (30/36)/(95/(-57)).\n | -1/2\n | ibivibiv/math_instruct | |
Let n(r) = 2*r**3 + 22*r**2 - 111*r + 25. What is n(-15)?\n | -110\n | ibivibiv/math_instruct | |
Let i(l) = l**2 - 5*l - 7. Let w be i(6). Let o(m) = 4*m - 1. Determine o(w).\n | -5\n | ibivibiv/math_instruct | |
Solve -14*p + 34 = 6 for p.\n | 2\n | ibivibiv/math_instruct | |
Let j = -0.01 + 0.009826. What is j rounded to five dps?\n | -0.00017\n | ibivibiv/math_instruct | |
Which is bigger: -749544 or -749546?\n | -749544\n | ibivibiv/math_instruct | |
What is 1488/(-18) + (-6293)/87 + 66?\n | -89\n | ibivibiv/math_instruct | |
Calculate -3 + -1 + (-4 - (-40 - -21)) + 36.\n | 47\n | ibivibiv/math_instruct | |
What is -689477 rounded to the nearest 1000?\n | -689000\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 15854?\n | 1\n | ibivibiv/math_instruct | |
Put 18, 124, 0, -4 in descending order.\n | 124, 18, 0, -4\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"## College Algebra (6th Edition)
Vertical asymptotes: $x = 0$ and $x = -4$ Graph holes: none
Vertical asymptotes in rational functions are always given by the denominator's zeros. Therefore, for this exercise, to identify th... | When studying college algebra, it is essential to understand the concept of vertical asymptotes and graph holes in rational functions. These features play a crucial role in determining the behavior and shape of a graph. Let us delve deeper into these ideas and uncover their significance in the context of algebraic equ... | ibivibiv/math_instruct | |
Let j(m) = -6*m**2. Let k(q) = -1926749*q. What is j(k(r))?\n | -22274170254006*r**2\n | ibivibiv/math_instruct | |
Collect the terms in -229938 + 459796 - 229858 - 3*s**2.\n | -3*s**2\n | ibivibiv/math_instruct | |
4.956279+-4211\n | -4206.043721\n | ibivibiv/math_instruct | |
Let v(g) = -g**3 + 8*g**2 + g - 1. Let r(d) = -d**3 - 5*d**2 - d - 1. Let w be r(-5). Suppose 0 = 3*j - 3, x - 2 = 2*j + w. What are the prime factors of v(x)?\n | 7\n | ibivibiv/math_instruct | |
Let c(o) = -o**2 + 8*o + 1. Determine c(7).\n | 8\n | ibivibiv/math_instruct | |
Let k(m) = -m**3 - 20*m**2 - 6. Calculate k(-20).\n | -6\n | ibivibiv/math_instruct | |
Let r(d) = -5*d. Let n = 195 - 60. Let q(o) = -135 + n - 4*o + o. Give q(r(m)).\n | 15*m\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {e: 2, m: 8}. What is prob of sequence emm?\n | 7/45\n | ibivibiv/math_instruct | |
Solve 3887*j - 3885*j + 7*g = 4*g - 50, -3*j = -2*g - 16 for j.\n | -4\n | ibivibiv/math_instruct | |
What is the value of ((12/(-75))/(4/(-30)))/((-117)/(-195))?\n | 2\n | ibivibiv/math_instruct | |
Let g = 8953 + -9251. Do 10 and g have the same value?\n | False\n | ibivibiv/math_instruct | |
Sort -131, 2, -1, 38, -2, 0.\n | -131, -2, -1, 0, 2, 38\n | ibivibiv/math_instruct | |
-628 times 3\n | -1884\n | ibivibiv/math_instruct | |
What is 4804 minus -2295373.04?\n | 2300177.04\n | ibivibiv/math_instruct | |
Let f = 5198 - 5195. Solve -20*o = 5*n - 17*o + 10, f*n + 3*o = -12 for n.\n | 1\n | ibivibiv/math_instruct | |
Let g(q) = -1. Let l(k) = -k - 14. Let p(n) = 3*n - 14. Let j be p(6). Let h(d) = j*g(d) - l(d). What is the least common multiple of 4 and h(-8)?\n | 4\n | ibivibiv/math_instruct |
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