instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -5*t = -2*v + 17, t + 22 = -3*v - t. Let a(l) = -l**3 - 2*l**2 + 5*l - 3. Is 5 a factor of a(v)?\n | False\n | ibivibiv/math_instruct | |
In base 3, what is -2 + -1221011111?\n | -1221011120\n | ibivibiv/math_instruct | |
What are the prime factors of 272155881?\n | 3, 90718627\n | ibivibiv/math_instruct | |
Let t = 16 - 11. What is the units digit of 1/((-1 + t)/40)?\n | 0\n | ibivibiv/math_instruct | |
Let n(l) = 10*l**2 - 329*l + 296. Determine n(32).\n | 8\n | ibivibiv/math_instruct | |
Suppose -5*y = k - 204, 2*k - 128 = -3*y - 0*y. What is the remainder when y is divided by 11?\n | 7\n | ibivibiv/math_instruct | |
Evaluate 0 + -1 + 1 + 5.\n | 5\n | ibivibiv/math_instruct | |
Simplify (sqrt(1584) - (sqrt(1584) - (sqrt(1584) + (sqrt(1584) - (sqrt(1584) + sqrt(1584) + 2)) + 4 - sqrt(1584))))**2 - ((sqrt(99) + 2)*1)**2.\n | -60*sqrt(11) + 1485\n | ibivibiv/math_instruct | |
What is the hundreds digit of 7013894?\n | 8\n | ibivibiv/math_instruct | |
Solve 11*m - 15*m - 16 = 2*d, 0 = -5*d for m.\n | -4\n | ibivibiv/math_instruct | |
What comes next: -8808705, -17617408, -26426111, -35234814, -44043517, -52852220?\n | -61660923\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 18 and 8?\n | 2\n | ibivibiv/math_instruct | |
Convert 24 (base 16) to base 2.\n | 100100\n | ibivibiv/math_instruct | |
Let m(q) = -4*q + 1. Give m(-6).\n | 25\n | ibivibiv/math_instruct | |
Let s(w) = -14*w**2 - w + 152. Let l(u) = -3*u**2 + 2. Calculate 5*l(k) - s(k).\n | -k**2 + k - 142\n | ibivibiv/math_instruct | |
Simplify (3*(sqrt(171) + sqrt(171)*-1))/(1*sqrt(27)/sqrt(3)) - (sqrt(76) + 2 + 3 + (-1*sqrt(19))**2).\n | -24 - 2*sqrt(19)\n | ibivibiv/math_instruct | |
Solve -t**4 - 15*t**3 + 60*t**2 + 100*t - 144 = 0.\n | -18, -2, 1, 4\n | ibivibiv/math_instruct | |
Let a(n) = 6*n**2 - 84*n - 93. What is the hundreds digit of a(58)?\n | 2\n | ibivibiv/math_instruct | |
What is the value of 5/((-38)/1292*-3655)?\n | 2/43\n | ibivibiv/math_instruct | |
Express 6524*z**2 + 1713 - 3412 + 1699 in the form y*z + f*z**2 + s and give y.\n | 0\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 22008 and 1134.\n | 42\n | ibivibiv/math_instruct | |
What is the greatest common factor of 2058102 and 28323?\n | 27\n | ibivibiv/math_instruct | |
Solve 2*p = 2*b + 14, -37741*p + 37749*p = -4*b + 44 for p.\n | 6\n | ibivibiv/math_instruct | |
Is 1511651657 a prime number?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of sequence ppdi when four letters picked without replacement from qpttuditqpuduqq.\n | 1/8190\n | ibivibiv/math_instruct | |
Factor -2*j**2/13 - 12063848*j/13 - 18192053570888/13.\n | -2*(j + 3015962)**2/13\n | ibivibiv/math_instruct | |
Calculate 297/(-396)*(-2*2)/(-2).\n | -3/2\n | ibivibiv/math_instruct | |
How many meters are there in 9.928324cm?\n | 0.09928324\n | ibivibiv/math_instruct | |
Solve -2*u - 16*d = -17*d - 7, 7*u + 4*d - 32 = 0 for u.\n | 4\n | ibivibiv/math_instruct | |
How many minutes are there between 5:18 PM and 2:48 AM?\n | 570\n | ibivibiv/math_instruct | |
Let c(p) = p. Suppose 0 = -5*w + 3*z - 0*z + 20, z = -5. Let h(b) = 2*b. Calculate w*h(a) - 3*c(a).\n | -a\n | ibivibiv/math_instruct | |
Let v(k) = -k**2 - 1. Let s(g) = -11*g**2 + 144*g - 18. Let a(i) = -i**2 + 29*i - 3. Let y(x) = -5*a(x) + s(x). Determine v(r) - y(r).\n | 5*r**2 + r + 2\n | ibivibiv/math_instruct | |
Suppose -i - 5 = -0. Let w = -1 - i. Let k(u) = 6*u - 1. What is the units digit of k(w)?\n | 3\n | ibivibiv/math_instruct | |
Let y(q) = 13*q - 12. Let x(j) = -j**3 + 5*j**2 + 3*j - 7. Let g be x(5). What are the prime factors of y(g)?\n | 2, 23\n | ibivibiv/math_instruct | |
What is 10 divided by -1?\n | -10\n | ibivibiv/math_instruct | |
Suppose f - 6 = 3*a, 3*f - 2 + 6 = -2*a. Let x(c) = -2*c**3 + 5*c - 2. Let t be x(a). Solve t*j = -16 + 4 for j.\n | -3\n | ibivibiv/math_instruct | |
What is the hundreds digit of 521?\n | 5\n | ibivibiv/math_instruct | |
Determine i, given that 0 + 4*i**2 + 4/7*i**4 - 20/7*i**3 - 12/7*i = 0.\n | 0, 1, 3\n | ibivibiv/math_instruct | |
Let t(k) be the third derivative of -k**6/12 - 17*k**5/30 + 2*k**3/3 + 144*k**2. Find the third derivative of t(b) wrt b.\n | -60\n | ibivibiv/math_instruct | |
Let h = 68 + -65. Put h, -21, -3/2 in ascending order.\n | -21, -3/2, h\n | ibivibiv/math_instruct | |
What is the closest to 0.3 in 26, 1, -0.1?\n | -0.1\n | ibivibiv/math_instruct | |
Convert -5 (base 10) to base 7.\n | -5\n | ibivibiv/math_instruct | |
What is 321 minutes before 3:12 PM?\n | 9:51 AM\n | ibivibiv/math_instruct | |
What is the next term in 130923, 130419, 129591, 128445, 126987?\n | 125223\n | ibivibiv/math_instruct | |
Which is the closest to 0.9? (a) 1 (b) 5 (c) 2/3585 (d) -0.2 (e) 1/7\n | a\n | ibivibiv/math_instruct | |
Let l(i) = i**3 + 14*i**2 + 4*i + 394. Calculate l(-15).\n | 109\n | ibivibiv/math_instruct | |
Put 0.2, 8/45, 1, 0.62, 3, -0.1 in descending order.\n | 3, 1, 0.62, 0.2, 8/45, -0.1\n | ibivibiv/math_instruct | |
Let m be ((-8)/3312)/((-2)/128). Let l = -1/23 + m. Let i = -2 + 2.1. Which is the closest to 2? (a) i (b) l (c) 2\n | c\n | ibivibiv/math_instruct | |
Let l = 144 - 122. Let b(f) = 4*f**2 - 70*f - 42. List the prime factors of b(l).\n | 2, 3, 59\n | ibivibiv/math_instruct | |
What is prob of sequence mbz when three letters picked without replacement from gbxxzmb?\n | 1/105\n | ibivibiv/math_instruct | |
(-616)/(-196) + -4 + 104/7\n | 14\n | ibivibiv/math_instruct | |
Let k(b) = b**3 + b**2 - 4*b. Let q(n) = -651*n**3 + 607*n**2 - 8*n. Let r(t) = 2*k(t) - q(t). Find the third derivative of r(h) wrt h.\n | 3918\n | ibivibiv/math_instruct | |
Which is the nearest to 13/2? (a) -1 (b) -2/7 (c) -16/3\n | b\n | ibivibiv/math_instruct | |
Is 157 <= -3812?\n | False\n | ibivibiv/math_instruct | |
Solve -9 = 3*j + a, a + 28163 = -10*j + 28140 for j.\n | -2\n | ibivibiv/math_instruct | |
Let x(b) = 3*b**2 + 66*b + 311. What is x(-7)?\n | -4\n | ibivibiv/math_instruct | |
What is 199788382 to the power of 1/9, to the nearest integer?\n | 8\n | ibivibiv/math_instruct | |
(15 - (-3 - -3)) + 32 + -110 + -19\n | -82\n | ibivibiv/math_instruct | |
Let d(u) = -42 + 2*u**3 + 0*u**2 - 3*u**3 - u**2 - 3*u + 38. Let v be d(-4). Is (-3)/(-7) + 14200/v a prime number?\n | False\n | ibivibiv/math_instruct | |
Which is smaller: -8883 or -7530?\n | -8883\n | ibivibiv/math_instruct | |
Carly collected 7 starfish with x arms each and one seastar with 14 arms. How many arms do the animals she collected have in total?
If we know the answer to the above question is 49, what is the value of unknown variable x? | Carly collected 7 starfish with x arms each, which means she collected 7x starfish arms.
She also collected one seastar with 14 arms.
The total number of arms she collected is the sum of the number of starfish arms and the number of seastar arms: 7x + 14.
We are given that the total number of arms is 49, so we can writ... | ibivibiv/math_instruct | |
What is 45 divided by 15?\n | 3\n | ibivibiv/math_instruct | |
Put 2/39, 1, 2/633, -0.2 in ascending order.\n | -0.2, 2/633, 2/39, 1\n | ibivibiv/math_instruct | |
Calculate the remainder when 32426 is divided by 30.\n | 26\n | ibivibiv/math_instruct | |
b"What is the lth term of 59173, 118309, 177393, 236419, 295381, 354273?\n" | -l**3 - 20*l**2 + 59203*l - 9\n | ibivibiv/math_instruct | |
Solve -6 = -4*u - 3*d + 13, -5*d = 129*u - 128*u - 26 for u.\n | 1\n | ibivibiv/math_instruct | |
Is 573486607 prime?\n | True\n | ibivibiv/math_instruct | |
Suppose -g = 2*l - 2 + 5, -3*l + 23 = -4*g. Which is the nearest to -0.084? (a) -0.4 (b) -1 (c) g (d) -2\n | a\n | ibivibiv/math_instruct | |
What is the fourth biggest value in -5, 4, 3/5, -214, 3283?\n | -5\n | ibivibiv/math_instruct | |
Let w(z) = 5*z**2. Suppose t + 2 = 4. Let h(d) = d**t + 15*d - 15*d + d**2. What is w(h(q))?\n | 20*q**4\n | ibivibiv/math_instruct | |
What is 657 minutes after 1:35 PM?\n | 12:32 AM\n | ibivibiv/math_instruct | |
Suppose 4*s - 13 = -3*i, s - 3*i + 11 = i. Let o be (s + 0)*(-35)/(-5). Suppose 0 = o*v - 15 - 41. Calculate the greatest common divisor of v and 20.\n | 4\n | ibivibiv/math_instruct | |
What is the common denominator of -93/10 and 22/6871?\n | 68710\n | ibivibiv/math_instruct | |
Which is the sixth smallest value? (a) 0.5 (b) -2 (c) 3.2 (d) -1 (e) -0.4 (f) 848.2\n | f\n | ibivibiv/math_instruct | |
Let g(p) = -13*p. Let j = -138 - -144. Let a(n) = -123*n. Let b(l) = -2331*l. Let s(d) = 56*a(d) - 3*b(d). Give j*s(r) + 49*g(r).\n | -7*r\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 665688 and 1109480.\n | 3328440\n | ibivibiv/math_instruct | |
Calculate prob of sequence eqe when three letters picked without replacement from egiegeqeq.\n | 1/21\n | ibivibiv/math_instruct | |
What is the eighth root of 784463880 to the nearest integer?\n | 13\n | ibivibiv/math_instruct | |
Simplify d**(-3/17)/d**20 assuming d is positive.\n | d**(-343/17)\n | ibivibiv/math_instruct | |
What is the value of (135/(-90))/(3/12)?\n | -6\n | ibivibiv/math_instruct | |
-307307 + 1\n | -307306\n | ibivibiv/math_instruct | |
What is the value of 20 - (-13 - (-15 - (-19 - -8)) - (20 - 25))?\n | 24\n | ibivibiv/math_instruct | |
Solve 4223 = 4*n - c + 4210, 4*c + 14 = -3*n for n.\n | 2\n | ibivibiv/math_instruct | |
Which is the closest to 1? (a) 1/10 (b) -0.4991 (c) -5\n | a\n | ibivibiv/math_instruct | |
(3*(-12)/(-9))/(6/3)\n | 2\n | ibivibiv/math_instruct | |
Suppose -5*i + 0*u - 18 = u, 3*u = 6. Let a be (-1)/(i - (-92)/24). What is the third derivative of 5*v**a + 13*v**6 - 10*v**2 + 16*v**2 wrt v?\n | 2160*v**3\n | ibivibiv/math_instruct | |
What is the square root of 1787 to the nearest integer?\n | 42\n | ibivibiv/math_instruct | |
Let w(v) be the third derivative of -1/20*v**6 - 3/10*v**5 + 0 + 0*v - 3/4*v**4 - 1/315*v**7 + 0*v**3 - 14*v**2. Factor w(x).\n | -2*x*(x + 3)**3/3\n | ibivibiv/math_instruct | |
What is 24.42 less than -10.94?\n | -35.36\n | ibivibiv/math_instruct | |
In base 12, what is 240 + 303?\n | 543\n | ibivibiv/math_instruct | |
What comes next: 2371, 2369, 2367, 2365, 2363?\n | 2361\n | ibivibiv/math_instruct | |
Let n = -57.0999257 + 57.1. What is n rounded to 5 dps?\n | 0.00007\n | ibivibiv/math_instruct | |
b"What is the kth term of -1013434, -1013433, -1013432?\n" | k - 1013435\n | ibivibiv/math_instruct | |
Suppose -18600016 = -5*i + i. Suppose 6*r - 2*r = 5*p + i, -p - 930001 = -r. Round p to the nearest one hundred thousand.\n | -900000\n | ibivibiv/math_instruct | |
Collect the terms in -26*x**3 - 5819*x**2 + 1 + 2529*x**2 + 3290*x**2 - 1.\n | -26*x**3\n | ibivibiv/math_instruct | |
Let r(y) = 441*y**2 + 184*y - 1829. List the prime factors of r(9).\n | 2, 8887\n | ibivibiv/math_instruct | |
Let h = 4 - -6. Let n = h + -10.1. Put n, 0.5, 2 in descending order.\n | 2, 0.5, n\n | ibivibiv/math_instruct | |
Convert -530 (base 11) to base 3.\n | -212122\n | ibivibiv/math_instruct | |
Calculate prob of sequence wr when two letters picked without replacement from jrrrwrwdwd.\n | 2/15\n | ibivibiv/math_instruct | |
Expand (1 - 2 + 2)*(-1 - 6*m + 5*m - 4*m)*(-7 - 5 + 0 - m).\n | 5*m**2 + 61*m + 12\n | ibivibiv/math_instruct |
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