instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the hundred millions digit of 1204035974?\n | 2\n | ibivibiv/math_instruct | |
What is the thousands digit of 62281528?\n | 1\n | ibivibiv/math_instruct | |
Suppose 4*d = -4*x + 43 - 111, 14 = -d - 4*x. Let g = -18 - d. Suppose 4*f - 12 - 36 = g. Calculate the remainder when f is divided by 8.\n | 4\n | ibivibiv/math_instruct | |
Let x(c) = -c**3 + c**2 - 6*c + 1. Let g(l) = 6*l**3 - 4*l**2 + 31*l - 4. Let f(t) = -2*g(t) - 11*x(t). What is f(-4)?\n | -3\n | ibivibiv/math_instruct | |
Simplify (sqrt(104)*1*-3 - 1*sqrt(104)*2)/(sqrt(968) + sqrt(968) + (sqrt(968)*4 + sqrt(968))*5).\n | -5*sqrt(13)/297\n | ibivibiv/math_instruct | |
Let q(a) = -a**3 - 5*a**2 + 6*a + 2. What is q(3)?\n | -52\n | ibivibiv/math_instruct | |
Let d = 526 - 531. Let h = -3 + 13/4. Put 0.4, d, -2/21, h in increasing order.\n | d, -2/21, h, 0.4\n | ibivibiv/math_instruct | |
Does 10 divide 42?\n | False\n | ibivibiv/math_instruct | |
Let q(f) = f**3 - 21*f**2 + 33*f - 204. What is the lowest common multiple of 574 and q(20)?\n | 2296\n | ibivibiv/math_instruct | |
Solve -11089 + 33283 = 474*l + 348*l for l.\n | 27\n | ibivibiv/math_instruct | |
Let v = -1884 - -1846. Which is greater: v or 5?\n | 5\n | ibivibiv/math_instruct | |
Simplify ((m**(22/9)*(m*m*m*m**(4/21)/m)/m)/(m**8/(m/(m*(m/m**(-7/12))/m*m*m))))**(-30) assuming m is positive.\n | m**(8755/42)\n | ibivibiv/math_instruct | |
Let r be 1/(1*(-3)/36). Let j(h) = -11*h. Let z(v) be the first derivative of 27*v**2/2 + 24. Calculate r*j(s) - 5*z(s).\n | -3*s\n | ibivibiv/math_instruct | |
Simplify (p**(-5/4))**(1/46) assuming p is positive.\n | p**(-5/184)\n | ibivibiv/math_instruct | |
Suppose v**2 - 11449*v + 32678998 = 0. What is v?\n | 5423, 6026\n | ibivibiv/math_instruct | |
21320214 (base 7) to base 4\n | 12330112203\n | ibivibiv/math_instruct | |
Simplify -1 + (1*(sqrt(112)*5 - (-4 + 1*sqrt(7))))**2.\n | 152*sqrt(7) + 2542\n | ibivibiv/math_instruct | |
Solve -2*m - 109 = 3*b, 253*m = 243*m + 5*b - 565 for m.\n | -56\n | ibivibiv/math_instruct | |
Round 0.0008130251347 to five decimal places.\n | 0.00081\n | ibivibiv/math_instruct | |
Let j = 496490/139749 - 394/111. What is the common denominator of j and 1/3?\n | 3777\n | ibivibiv/math_instruct | |
612 (base 8) to base 6\n | 1454\n | ibivibiv/math_instruct | |
What is the next term in 2025, 1953, 1881?\n | 1809\n | ibivibiv/math_instruct | |
Calculate (15 - (-3 - -1) - 11) + (0 + 52 - 1).\n | 57\n | ibivibiv/math_instruct | |
Divide 1450530 by -426.\n | -3405\n | ibivibiv/math_instruct | |
-131 - -5636327440\n | 5636327309\n | ibivibiv/math_instruct | |
Let d(i) = i**3 - 4*i**2 + 2*i. Let l be d(4). Suppose -5*j - 19 + 139 = 0. Suppose -3*t + j = 9. Solve -p - l = -t*p for p.\n | 2\n | ibivibiv/math_instruct | |
Solve 2*w + 9 = 5*k - 2*k, -11*k + w + 14 = 0 for k.\n | 1\n | ibivibiv/math_instruct | |
Let p(b) = 8*b**3 - 6*b + 6. Let o(u) = u + 17*u**3 - 9*u**3 - 6*u**3 - 1 - 3*u**3. Let s be -7 + 2/(-6)*-3. Let f be (-4)/s*(-15)/(-10). Give f*p(d) + 6*o(d).\n | 2*d**3\n | ibivibiv/math_instruct | |
Suppose 0*t = 3*t. Suppose -3*z + 16 = -4*b, t = 4*b - z + 2*z. Put b, -2, 5 in increasing order.\n | -2, b, 5\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 10 and 100.\n | 100\n | ibivibiv/math_instruct | |
Sort 1, -1, 0.4, -124/57, -4, 3 in decreasing order.\n | 3, 1, 0.4, -1, -124/57, -4\n | ibivibiv/math_instruct | |
Which is smaller: -26618 or 1.6?\n | -26618\n | ibivibiv/math_instruct | |
Solve 0 = f - 24 + 19 for f.\n | 5\n | ibivibiv/math_instruct | |
Suppose 2 = -4*f - 6. Let i(b) = b**2 + 16*b + 30. Let z be i(-14). Suppose q = -z*q + 2*n + 5, -q = -n. Put q, f, 3 in increasing order.\n | f, 3, q\n | ibivibiv/math_instruct | |
Calculate the remainder when 4822991 is divided by 5569.\n | 237\n | ibivibiv/math_instruct | |
Find the second derivative of -197 + 9*j + 884*j**2 + 103 + 105 + 25*j wrt j.\n | 1768\n | ibivibiv/math_instruct | |
Round 0.0000035500442 to seven decimal places.\n | 0.0000036\n | ibivibiv/math_instruct | |
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"# Why do we sample from log space when optimizing learning rate + regularization params?
Since I took Karpathy's CS231n I used the method he mentions on the 5th lecture for hyperparameter optimization of neural networks whic... | When it comes to training neural networks, choosing the right set of hyperparameters can significantly impact the performance of the model. Two crucial hyperparameters are the learning rate and regularization strength. The question at hand is why we often sample these hyperparameters from the log space instead of samp... | ibivibiv/math_instruct | |
Two letters picked without replacement from bbbpp. What is prob of sequence pp?\n | 1/10\n | ibivibiv/math_instruct | |
Let f = -210 + 606. What is the tens digit of f?\n | 9\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 x, 1 r, and 1 t when three letters picked without replacement from efxerrerreretxfe.\n | 1/56\n | ibivibiv/math_instruct | |
Suppose -5*x = -8*x + 150. Suppose -5*g = 5*m - x, -2*g - 3*m = 3*g - 46. Suppose -2*q + 4 = w - 3, -3*w = 2*q - 17. Put q, -2, g in decreasing order.\n | g, q, -2\n | ibivibiv/math_instruct | |
Let d(h) = h**3 - 11*h**2 - 139*h + 37. Calculate d(18).\n | -197\n | ibivibiv/math_instruct | |
Suppose -5*v - 3 = -5*y + 52, 4*v = -3*y + 47. Let o(a) = -13 + a + y. Let f(i) = i. Calculate f(o(l)).\n | l\n | ibivibiv/math_instruct | |
Which is bigger: -69 or -80971?\n | -69\n | ibivibiv/math_instruct | |
Calculate (6/4)/((5130/24)/(-19)).\n | -2/15\n | ibivibiv/math_instruct | |
Convert 131 (base 4) to base 16.\n | 1d\n | ibivibiv/math_instruct | |
Solve 84*w = c + 85*w, -35 = -5*c + 2*w for c.\n | 5\n | ibivibiv/math_instruct | |
What is 2642 (base 7) in base 14?\n | 522\n | ibivibiv/math_instruct | |
Let t = -7 + 11. Suppose 27 = -o + t*o. What is the units digit of o?\n | 9\n | ibivibiv/math_instruct | |
What is the value of (19 - (0 - -2) - 9) + -52?\n | -44\n | ibivibiv/math_instruct | |
Solve 290*n + 63 = 299*n for n.\n | 7\n | ibivibiv/math_instruct | |
Let n(i) be the second derivative of 2*i + 35/3*i**3 + 0*i**2 + 5/2*i**4 - 9. What is the second derivative of n(u) wrt u?\n | 60\n | ibivibiv/math_instruct | |
Suppose -8*g = -13*g + 340. Is 34 a factor of g?\n | True\n | ibivibiv/math_instruct | |
What is 3654 - 3?\n | 3651\n | ibivibiv/math_instruct | |
What are the prime factors of 143255?\n | 5, 7, 4093\n | ibivibiv/math_instruct | |
Let r(t) = 68*t - 825. What is r(12)?\n | -9\n | ibivibiv/math_instruct | |
Suppose -2*i + 15 - 4 = v, 4*v - 5*i - 31 = 0. Solve 0 = r - v + 6 for r.\n | 3\n | ibivibiv/math_instruct | |
Find the first derivative of -2*d**2*o*p**3 - 140*d**2*p**3 - 2*d*o + o*p**2 - 4*p**3 - 26*p**2 wrt d.\n | -4*d*o*p**3 - 280*d*p**3 - 2*o\n | ibivibiv/math_instruct | |
What is the hundreds digit of 177287688?\n | 6\n | ibivibiv/math_instruct | |
Let v(o) be the second derivative of -o**7/168 + o**6/40 - 3*o**5/80 + o**4/48 + 194*o. Factor v(z).\n | -z**2*(z - 1)**3/4\n | ibivibiv/math_instruct | |
Convert 30 (base 9) to base 7.\n | 36\n | ibivibiv/math_instruct | |
What is the sixth root of 38305573 to the nearest integer?\n | 18\n | ibivibiv/math_instruct | |
What is the cube root of 51964 to the nearest integer?\n | 37\n | ibivibiv/math_instruct | |
Let f = 2879 - -5277. What are the prime factors of f?\n | 2, 2039\n | ibivibiv/math_instruct | |
What is (6/(-27)*3)/(40/(-6))?\n | 1/10\n | ibivibiv/math_instruct | |
What is 84341 to the power of 1/4, to the nearest integer?\n | 17\n | ibivibiv/math_instruct | |
List the prime factors of 11874894.\n | 2, 3, 1979149\n | ibivibiv/math_instruct | |
Simplify (p**2*p*p/p**(-3))**(-2/37)*((p**(1/4)*p)/p**(-1/4))/(p*p/(p/p**1))**(-15) assuming p is positive.\n | p**(2303/74)\n | ibivibiv/math_instruct | |
Simplify (t/(t/t**(1/3))*t*t**(-3/7)*t*(((t**(-1)/t)/t)/t)**(-24))**(12/11) assuming t is positive.\n | t**(8224/77)\n | ibivibiv/math_instruct | |
Let i = -5 + 11. Let r = i - 0. Let f(l) = 2*l - 29. Let a(j) = -2*j + 24. Let s(p) = 4*a(p) + 3*f(p). Determine s(r).\n | -3\n | ibivibiv/math_instruct | |
Suppose -3*d = -d - 1252. Suppose -119 = -5*i + d. Is i a composite number?\n | False\n | ibivibiv/math_instruct | |
Let g = 0.56 + -2.26. Let k = -1.7 - g. Let x = 1335/26 - 103/2. Which is the fourth biggest value? (a) 4 (b) x (c) k (d) 0.5\n | b\n | ibivibiv/math_instruct | |
Solve 57*z - 38*z = 97*z - 936 for z.\n | 12\n | ibivibiv/math_instruct | |
Simplify -1*(0 + 1 + 1 + sqrt(2) + (2*sqrt(16)*2)/sqrt(8)).\n | -5*sqrt(2) - 2\n | ibivibiv/math_instruct | |
Let t = -0.161 + 805.161. Let g = -4102514 + 4101709.0577. Let h = g + t. What is h rounded to 2 dps?\n | 0.06\n | ibivibiv/math_instruct | |
Suppose 4*q = -10 + 22. Let k(d) = -48*d - 52. Let v be k(-1). Put 1, v, -1, q in descending order.\n | q, 1, -1, v\n | ibivibiv/math_instruct | |
Express -104*u**2 - 27*u**4 - 2 - 2*u + 104*u**2 as a*u**2 + p*u**4 + s + c*u**3 + w*u and give s.\n | -2\n | ibivibiv/math_instruct | |
What is next in 102, 160, 250, 366, 502, 652?\n | 810\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 348347160 and 14385.\n | 348347160\n | ibivibiv/math_instruct | |
Simplify ((-1*sqrt(56) + ((sqrt(14) - sqrt(56)/sqrt(4) - sqrt(14))*5 - sqrt(14)))*-5)/(2*(sqrt(98) - -1*sqrt(98)) + 1*(1*sqrt(98) - sqrt(98))).\n | 10*sqrt(7)/7\n | ibivibiv/math_instruct | |
Let f = 0.1 - 0.1. Let a be (125/375)/(4 - 3). What is the nearest to f in a, 0.1, -3?\n | 0.1\n | ibivibiv/math_instruct | |
Suppose 2*d + 3*h = -4 - 3, 5*d + h + 11 = 0. Let q be (-18)/27 - d/6. What is the biggest value in 2/19, q, -5?\n | 2/19\n | ibivibiv/math_instruct | |
Rearrange -l**2 - 1679 + l**2 - 34*l + 1681 - 5*l**3 + l**3 to the form j*l**2 + h*l**3 + y + u*l and give y.\n | 2\n | ibivibiv/math_instruct | |
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"# right isosceles triangle formula
Im doing that in the same column, let me see. Area of Isosceles Triangle. The height of an isosceles triangle is the perpendicular line segment drawn from base of the triangle to the opposi... | An isosceles triangle is a type of triangle where two sides are congruent or equal in length. Furthermore, an isosceles right triangle is a special kind of isosceles triangle where two sides are equal and one interior angle measures 90 degrees. This particular angle makes it a right triangle, meaning its hypotenuse ad... | ibivibiv/math_instruct | |
Let c(r) = 4*r**2 - 3*r - 2*r**2 + 9*r. Let b be c(-5). Suppose -b = 2*a + 2*l, a + 2*l = 2*a - 5. Sort 0, a, -2 in decreasing order.\n | 0, -2, a\n | ibivibiv/math_instruct | |
Let v = -7664705 - -7724095.99. Let k = v + -59125.9707. Let p = -265 + k. What is p rounded to three dps?\n | 0.019\n | ibivibiv/math_instruct | |
In base 15, what is -3c6a + -b10?\n | -487a\n | ibivibiv/math_instruct | |
What is -41 (base 15) in base 7?\n | -115\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) -0.5 (b) 0.62 (c) 0 (d) -1\n | a\n | ibivibiv/math_instruct | |
Let p(u) = 6*u - 2. Let w be p(4). Suppose -36 = -5*r + 14. Suppose r = 2*x - 0*x. Solve 9 = 3*d - 5*a + 2*a, 2*a - w = -x*d for d.\n | 4\n | ibivibiv/math_instruct | |
How many minutes are there between 11:09 AM and 4:24 PM?\n | 315\n | ibivibiv/math_instruct | |
Factor 9*b**3/4 + 317*b**2/4 + 541*b/2 - 744.\n | (b + 6)*(b + 31)*(9*b - 16)/4\n | ibivibiv/math_instruct | |
What is the value of (5 + -3 - -10) + -8 - 1?\n | 3\n | ibivibiv/math_instruct | |
What is the next term in 31775, 31798, 31845, 31922, 32035, 32190, 32393?\n | 32650\n | ibivibiv/math_instruct | |
What is 347 times -2.0922?\n | -725.9934\n | ibivibiv/math_instruct | |
Is 398 a factor of 83075734?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = -4*f - 3*w + 8509, 4272 = -17*f + 19*f - 2*w. Let b = f - 474. Is b prime?\n | True\n | ibivibiv/math_instruct | |
What is the value of -9 + (-60 - (10 + -25)) + 16 + -4?\n | -42\n | ibivibiv/math_instruct | |
Suppose -7*f - 21*f = -32116. What are the prime factors of f?\n | 31, 37\n | ibivibiv/math_instruct |
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