instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the value of 3/(3*10/(-8))?\n | -4/5\n | ibivibiv/math_instruct | |
Collect the terms in -228*w + 53*w - 3*w**3 - 436*w + 69*w.\n | -3*w**3 - 542*w\n | ibivibiv/math_instruct | |
What is -1 divided by 2585?\n | -1/2585\n | ibivibiv/math_instruct | |
Let p = 4.31 - 4.2. Which is smaller: p or -0.1?\n | -0.1\n | ibivibiv/math_instruct | |
Divide -11909 by 22974.\n | -11909/22974\n | ibivibiv/math_instruct | |
Let b be 8/36 + (-106)/(-9). Determine l so that -6*l - b - 365*l**2 + 362*l**2 - 9*l = 0.\n | -4, -1\n | ibivibiv/math_instruct | |
Let c(u) be the first derivative of 0*u**4 + 0*u**3 - 33*u + 33/5*u**5 + 0*u**2 - 23. What is the first derivative of c(h) wrt h?\n | 132*h**3\n | ibivibiv/math_instruct | |
Let w(f) = -4*f + 0 - 6*f + 1 + 9*f. Let n be w(-1). Solve 0*g - 3*g - n*c - 10 = 0, 3*g - 3*c = 0 for g.\n | -2\n | ibivibiv/math_instruct | |
How many grams are there in 5.882814 milligrams?\n | 0.005882814\n | ibivibiv/math_instruct | |
Simplify ((j/j**(2/5))/j*j*j*j*j**(-7/4))/((j/(j/(j/(j*j**9/j*j))*j)*j)/j*j*j*j**(3/11)) assuming j is positive.\n | j**(1887/220)\n | ibivibiv/math_instruct | |
What is the cube root of 2564216728 to the nearest integer?\n | 1369\n | ibivibiv/math_instruct | |
Sort 9, 1/4, -7/23, -3 in decreasing order.\n | 9, 1/4, -7/23, -3\n | ibivibiv/math_instruct | |
Let i = -9727 - -15339. Is i a multiple of 46?\n | True\n | ibivibiv/math_instruct | |
Which is the closest to 0? (a) -6 (b) 1.4 (c) -0.05 (d) -8 (e) 0.2\n | c\n | ibivibiv/math_instruct | |
b"What is the nth term of 23, 36, 41, 32, 3, -52, -139, -264?\n" | -n**3 + 2*n**2 + 14*n + 8\n | ibivibiv/math_instruct | |
Divide -156 by -2151929.\n | 12/165533\n | ibivibiv/math_instruct | |
Let k be 2 - -2*1333/2. Suppose -64 = -p + k. Is p composite?\n | False\n | ibivibiv/math_instruct | |
Express 0 + n + 0 + (3 - 5 + 3)*(-5 - 11 - 6)*(99*n + 2*n - 23*n) as a*n + o and give a.\n | -1715\n | ibivibiv/math_instruct | |
Suppose -y + 0*s - 6 = -5*s, 0 = 5*y + s - 22. Suppose 0 = y*z - 56 - 28. List the prime factors of z.\n | 3, 7\n | ibivibiv/math_instruct | |
(12/130)/((165/(-50))/(-11) - 0)\n | 4/13\n | ibivibiv/math_instruct | |
Is 6269327593 prime?\n | False\n | ibivibiv/math_instruct | |
What is the product of -0.51 and 8129?\n | -4145.79\n | ibivibiv/math_instruct | |
Let a(c) be the first derivative of c**4 - 16*c**3 + 72*c**2 + 25. Factor a(f).\n | 4*f*(f - 6)**2\n | ibivibiv/math_instruct | |
Is 8 less than 179/23?\n | False\n | ibivibiv/math_instruct | |
Let t(n) = -3*n**3 - n. Let c be t(1). Let b(a) = a - 1 - 8*a - 4. Is b(c) composite?\n | False\n | ibivibiv/math_instruct | |
Three letters picked without replacement from tltytltlflllllty. What is prob of picking 2 l and 1 t?\n | 1/4\n | ibivibiv/math_instruct | |
Let f = 3 - -176. Is f a composite number?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in -z - 7*z**3 - 13 + 22*z**2 + z + 13.\n | -7*z**3 + 22*z**2\n | ibivibiv/math_instruct | |
Let q(j) = -j**2 + j - 1. Let a(r) = -r**3 - 4*r**2 + 5*r - 4. Let l(k) = -a(k) + 3*q(k). Let t be l(-2). Let f = -19/3 + 98/15. Which is bigger: f or t?\n | t\n | ibivibiv/math_instruct | |
Suppose 43*s + 268 = 1515. What is the highest common factor of s and 3712?\n | 29\n | ibivibiv/math_instruct | |
Suppose 3*k - 2*k = -7. Let w(q) = 71*q**2 + 344*q**2 + 62*q**2 - 4*q + 155*q**2 + 4. Let m be w(k). What is m rounded to the nearest 10000?\n | 30000\n | ibivibiv/math_instruct | |
Put -636, 4, -1 in descending order.\n | 4, -1, -636\n | ibivibiv/math_instruct | |
How many minutes are there between 3:32 PM and 1:41 AM?\n | 609\n | ibivibiv/math_instruct | |
Simplify ((sqrt(180) + sqrt(180) + 3*sqrt(180) + sqrt(180))/sqrt(9))/(sqrt(32)/sqrt(2))*-6*-4.\n | 72*sqrt(5)\n | ibivibiv/math_instruct | |
Is 240 a multiple of 10?\n | True\n | ibivibiv/math_instruct | |
Four letters picked without replacement from ooooooooonooaoo. Give prob of sequence noon.\n | 0\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-58.878 % 72.7273 | 13.8493 | ibivibiv/math_instruct | |
Let r = 14 - 4. Is 3 a factor of r?\n | False\n | ibivibiv/math_instruct | |
Suppose 2*q - 2*w = -6*w + 2, 0 = 2*q + 2*w - 6. Let y(r) be the second derivative of 1/6*r**3 + 0 - 1/2*r**2 - 2*r. Calculate y(q).\n | 4\n | ibivibiv/math_instruct | |
Suppose n + 12 = 5*n. Let f(z) = -z**3 + 10*z**2 - 8*z - 2. Let q(s) = s**2 - 3*s + 5. Let y be q(4). What is the smallest common multiple of f(y) and n?\n | 21\n | ibivibiv/math_instruct | |
What is 10 minutes before 4:01 PM?\n | 3:51 PM\n | ibivibiv/math_instruct | |
Three letters picked without replacement from nsnnnnsnsn. What is prob of picking 1 s and 2 n?\n | 21/40\n | ibivibiv/math_instruct | |
What is prob of sequence bmm when three letters picked without replacement from {m: 7, b: 3}?\n | 7/40\n | ibivibiv/math_instruct | |
Two letters picked without replacement from jaagxzzgm. Give prob of picking 2 a.\n | 1/36\n | ibivibiv/math_instruct | |
Let n = 60 - 37. Suppose 6*k - n = 1. Suppose -2*m + 146 = k*o, 2*o - 2*m - 55 = 3*m. What are the prime factors of o?\n | 5, 7\n | ibivibiv/math_instruct | |
Let x = -552 - -555. Let s(w) = w**2 - 3*w + 4. Let u be s(-3). Suppose -10 = 5*i - 2*z, 3 = -5*i + 5*z - u. Put -2, x, i, -1 in decreasing order.\n | x, i, -1, -2\n | ibivibiv/math_instruct | |
Divide 347 by 917631.\n | 347/917631\n | ibivibiv/math_instruct | |
What is the survival probability at time t=6 years for a group of individuals who have a 60% chance of surviving up to 8 years, based on the following survival function?
S(t) = exp(-0.05t) | To find the survival probability at time t=6 years, we need to evaluate the survival function S(t) at t=6:
S(6) = exp(-0.05 * 6)
S(6) = exp(-0.3)
Now, we need to find the value of exp(-0.3):
S(6) ≈ 0.740818
So, the survival probability at time t=6 years is approximately 74.08%.
However, the problem states that th... | ibivibiv/math_instruct | |
Let k be 172/32 - (-3)/(-8). Solve -11 = 4*x + k for x.\n | -4\n | ibivibiv/math_instruct | |
Let a(r) = 185*r**3 + r**2 + 2*r + 1. Let o be 1/2*(-3 + 1). Let w be a(o). Round w to the nearest ten.\n | -190\n | ibivibiv/math_instruct | |
Let i be 130/15 + (-1)/(-3). Suppose i*s - 2 = 8*s. Suppose 0*a + 24 = 2*h - s*a, -12 = 3*a. What is the units digit of h?\n | 8\n | ibivibiv/math_instruct | |
Multiply -1205580 and 0.12.\n | -144669.6\n | ibivibiv/math_instruct | |
Calculate 822980 divided by -82298.\n | -10\n | ibivibiv/math_instruct | |
Solve -160 + 6455 + 1902 = 209*f - 163 for f.\n | 40\n | ibivibiv/math_instruct | |
List the prime factors of 98936864.\n | 2, 13, 29, 59, 139\n | ibivibiv/math_instruct | |
Suppose 5*h - 3*l + 159 = 0, 4*h - 6*h + 2*l - 66 = 0. Let t = -16 - h. What is the highest common factor of 28 and t?\n | 14\n | ibivibiv/math_instruct | |
Factor -x**3/7 + 2385*x**2/7 + x/7 - 2385/7.\n | -(x - 2385)*(x - 1)*(x + 1)/7\n | ibivibiv/math_instruct | |
230020223130 (base 4) to base 3\n | 210202210220020\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 38112198 and 510.\n | 102\n | ibivibiv/math_instruct | |
Suppose -5*w = 4*u - 7515, 0 = -4*u + 10*u + 2*w - 11234. What is the greatest common factor of u and 2?\n | 2\n | ibivibiv/math_instruct | |
Let s be (-15)/2*1456/24. Find the common denominator of (-2 - 2) + s/30 and 27/2.\n | 6\n | ibivibiv/math_instruct | |
Find the common denominator of 43/116 and 1/6.\n | 348\n | ibivibiv/math_instruct | |
Calculate prob of picking 3 n when three letters picked without replacement from {f: 4, e: 1, n: 3}.\n | 1/56\n | ibivibiv/math_instruct | |
Express -5*p**3 - 35*p**2 - 81*p**2 + 2 + p**3 + 76*p**2 in the form i*p + r + v*p**3 + s*p**2 and give r.\n | 2\n | ibivibiv/math_instruct | |
Put 2, -0.25, 2/13, -1/3 in descending order.\n | 2, 2/13, -0.25, -1/3\n | ibivibiv/math_instruct | |
What is 18/5 of a decade in years?\n | 36\n | ibivibiv/math_instruct | |
What is next in -175, -1236, -4485, -11134, -22395, -39480, -63601?\n | -95970\n | ibivibiv/math_instruct | |
Suppose 45*h - 8186 = 2209. Calculate the greatest common factor of h and 84.\n | 21\n | ibivibiv/math_instruct | |
In base 7, what is 2566 - -22?\n | 2621\n | ibivibiv/math_instruct | |
-159 + 34\n | -125\n | ibivibiv/math_instruct | |
b"What is the cth term of 258, 994, 2200, 3876?\n" | 235*c**2 + 31*c - 8\n | ibivibiv/math_instruct | |
What is -0.1 + 0.0111868939123?\n | -0.0888131060877\n | ibivibiv/math_instruct | |
Suppose -2*i + 5*z - 32 = 0, 15 - 37 = i - 4*z. Let s = -20 + 18. Is 6*s/(i/179) a prime number?\n | False\n | ibivibiv/math_instruct | |
In base 11, what is -1a735 + -1?\n | -1a736\n | ibivibiv/math_instruct | |
Simplify (a**(1/5))**42*a**(3/2)/(a**(9/4)*a*a) assuming a is positive.\n | a**(113/20)\n | ibivibiv/math_instruct | |
Let q(z) = -319*z**2. Let t(c) = -c + 172. Calculate t(q(u)).\n | 319*u**2 + 172\n | ibivibiv/math_instruct | |
Let w(s) = -s**3 + s**2 + 6*s + 2. Let b be w(3). Let d be b - (12 - (6 - 1)). Suppose 0 = -5*c - 5, 4*c + 14 = -3*l - c. Is l at least d?\n | True\n | ibivibiv/math_instruct | |
Suppose -3*y - 3 = 0, 3*y - 506 - 135 = -4*j. Suppose 16*c - 187 = 245. Calculate the remainder when j is divided by c.\n | 26\n | ibivibiv/math_instruct | |
Round -61 to the nearest 10.\n | -60\n | ibivibiv/math_instruct | |
Simplify (6*(1*sqrt(77)*-2 - ((sqrt(77) + (2*sqrt(77) - sqrt(77)) + sqrt(77))*-3 - sqrt(77))))/(4*sqrt(275) + sqrt(55)/(sqrt(55)/sqrt(11))).\n | 16*sqrt(7)/7\n | ibivibiv/math_instruct | |
Calculate the remainder when 1311 is divided by 16.\n | 15\n | ibivibiv/math_instruct | |
Let b(w) = 5*w**2 + 4*w + 1. Let f be b(-2). Suppose 6*r - f*r + 49 = 0. Calculate the remainder when 48 is divided by r.\n | 6\n | ibivibiv/math_instruct | |
Let n(m) = -14*m**3 + 11*m**2 - 26*m - 14. Let p(y) = -5*y**3 + 4*y**2 - 9*y - 5. Let g(q) = 6*n(q) - 17*p(q). Give g(3).\n | 1\n | ibivibiv/math_instruct | |
Let v be ((-4)/(-14) - (-161)/(-49))/1. Which is the biggest value? (a) -0.4 (b) 3/7 (c) 2 (d) v\n | c\n | ibivibiv/math_instruct | |
Let n(h) = -h - 1. Let l be (-2)/(-6)*3*-4. Let q(d) = -2*d + 2. Let j(v) = l*n(v) + q(v). Suppose -11 = 4*g - 0*a - 5*a, 4*a - 16 = 5*g. What is j(g)?\n | -2\n | ibivibiv/math_instruct | |
What are the prime factors of 951?\n | 3, 317\n | ibivibiv/math_instruct | |
Suppose 3*w = 6, -2*w - 105 + 25 = 3*f. List the prime factors of (f/6)/(14/(-21)).\n | 7\n | ibivibiv/math_instruct | |
Is 1536868 a multiple of 466?\n | True\n | ibivibiv/math_instruct | |
b"What is the gth term of -1887, -3855, -5827, -7803, -9783, -11767?\n" | -2*g**2 - 1962*g + 77\n | ibivibiv/math_instruct | |
Express 319*d - 174*d - 144*d - 5379 as c + w*d and give w.\n | 1\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 119798 and 70?\n | 14\n | ibivibiv/math_instruct | |
What is the value of ((-228)/(-456))/(((-2)/(-52))/(-1))?\n | -13\n | ibivibiv/math_instruct | |
What is -0.4 take away -10794.8131?\n | 10794.4131\n | ibivibiv/math_instruct | |
What is prob of sequence jj when two letters picked without replacement from {j: 1, d: 3, m: 1, l: 5, n: 1}?\n | 0\n | ibivibiv/math_instruct | |
Expand (-3*m**2 + 3*m**2 - 2*m**2)*(-163 - 44 - 48)*(2 + 2 - 7).\n | -1530*m**2\n | ibivibiv/math_instruct | |
What is 0.0014258573 rounded to five decimal places?\n | 0.00143\n | ibivibiv/math_instruct | |
What is 547 minutes after 6:41 PM?\n | 3:48 AM\n | ibivibiv/math_instruct | |
What is -0.0137046 rounded to two dps?\n | -0.01\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {d: 2, k: 1, n: 2}. What is prob of sequence nn?\n | 1/10\n | ibivibiv/math_instruct | |
What is 61312.6 decades in centuries?\n | 6131.26\n | ibivibiv/math_instruct |
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