instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 46767271 to the power of 1/5, to the nearest integer?\n | 34\n | ibivibiv/math_instruct | |
Let x(o) be the second derivative of 29*o**3/3 - 5*o**2 - 6*o - 5. Differentiate x(b) wrt b.\n | 58\n | ibivibiv/math_instruct | |
What is the tens digit of 10276?\n | 7\n | ibivibiv/math_instruct | |
What is the next term in 137, 528, 1179, 2090, 3261, 4692, 6383?\n | 8334\n | ibivibiv/math_instruct | |
Determine f, given that -f**3/4 - 83587*f**2/4 - 264995075*f/4 - 214191127169/4 = 0.\n | -80321, -1633\n | ibivibiv/math_instruct | |
Evaluate ((4 - (-50)/12)*60/(-525))/((-10)/15).\n | 7/5\n | ibivibiv/math_instruct | |
Let m(l) = l**3 - 6*l**2 + 2*l - 10. Let h be m(6). Suppose -x = 2*t - 350, t - 278 = h*x - 1003. Is 36 a factor of x?\n | True\n | ibivibiv/math_instruct | |
What is the nearest to -1/2 in 0.3, 1/8, -556/11, 1/6, 2?\n | 1/8\n | ibivibiv/math_instruct | |
What is the fourth biggest value in -1/25, 9, 2, -1?\n | -1\n | ibivibiv/math_instruct | |
1.04152 times -5\n | -5.2076\n | ibivibiv/math_instruct | |
Simplify ((u/u**(-2/7)*u)/u)**37*((u**(-4)*u)/u)/u*u*u**(1/4)*u assuming u is positive.\n | u**(1255/28)\n | ibivibiv/math_instruct | |
Let g(u) = -u + 9. Let o be g(7). Let n(t) be the first derivative of 20 - t**2 - t - 12 + 2*t**o. What is n(-1)?\n | -3\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 53186 and 39382.\n | 406\n | ibivibiv/math_instruct | |
What is the closest to 0.066 in -2, 4, 2?\n | 2\n | ibivibiv/math_instruct | |
What is the units digit of 8317?\n | 7\n | ibivibiv/math_instruct | |
What is the product of 0.1 and 1.554?\n | 0.1554\n | ibivibiv/math_instruct | |
Let t = 46 + -30. Suppose t*d - 18*d + 10 = 0. Suppose 3*y - 5*y = d*x - 61, 3*x = y + 41. List the prime factors of x.\n | 13\n | ibivibiv/math_instruct | |
Let g(a) = a**3 + a + 2. Let x be (-4 + 4)*1/(-2). Let d be g(x). Let z = d - 0. What is the units digit of z?\n | 2\n | ibivibiv/math_instruct | |
Let z(c) = c + 4*c - 2*c - 4*c. Let g be z(-2). Solve -g*j = 3*j + 25 for j.\n | -5\n | ibivibiv/math_instruct | |
Find the second derivative of -7*c**4 + 1393*c**2 - 24632*c - 2.\n | -84*c**2 + 2786\n | ibivibiv/math_instruct | |
What is 2 (base 7) in base 9?\n | 2\n | ibivibiv/math_instruct | |
Differentiate 2*t**4*w - t**2*w - 565*t**2 + 10059*w with respect to t.\n | 8*t**3*w - 2*t*w - 1130*t\n | ibivibiv/math_instruct | |
Calculate the remainder when 1630 is divided by (-298)/(-12) - 395/474.\n | 22\n | ibivibiv/math_instruct | |
What is 1.35992 rounded to 1 dp?\n | 1.4\n | ibivibiv/math_instruct | |
Calculate 44 + (-20 - -1) + (-100 - (-42 + -71)).\n | 38\n | ibivibiv/math_instruct | |
Work out 764.9068 * 0.22.\n | 168.279496\n | ibivibiv/math_instruct | |
Suppose 5*t = -6*z + 24664, -2*z + 2*t + 3128 + 5086 = 0. Is z a prime number?\n | False\n | ibivibiv/math_instruct | |
Let k(d) = 1341*d**2 + 17*d - 29. What is the thousands digit of k(4)?\n | 1\n | ibivibiv/math_instruct | |
Calculate the remainder when 161406 is divided by 737.\n | 3\n | ibivibiv/math_instruct | |
Let m(a) be the first derivative of 7*a**6/18 - 13*a**5/3 + 69*a**4/4 - 27*a**3 + 9*a**2 + 5353. Factor m(r).\n | r*(r - 3)**3*(7*r - 2)/3\n | ibivibiv/math_instruct | |
Let d be (-1 - (-4)/(-3))*24. Let p be 60/14 - (-16)/d. Solve 1 + 10 = 2*a - u, -4*u - p = 0 for a.\n | 5\n | ibivibiv/math_instruct | |
Let k be 33/(-12)*(1 + -13). Let n be (k/(-2))/(3/(-4)). Let y(w) = w**2 - 28*w + 96. Let a be y(24). Solve a = 4*d - 2 + n for d.\n | -5\n | ibivibiv/math_instruct | |
Let b(t) = t**2 - 10*t + 11. Let s be b(9). Solve -5*v - 14 - 9 = s*i, 0 = 4*v - 5*i + 25 for v.\n | -5\n | ibivibiv/math_instruct | |
Let f(w) = w**2 + 118*w + 756. Give f(-7).\n | -21\n | ibivibiv/math_instruct | |
Let b = 0.03 - -1.97. What is the closest to 1 in -5, -0.1, b?\n | b\n | ibivibiv/math_instruct | |
Let s = 58 - 347/6. Which is the nearest to -0.08? (a) -1 (b) 3 (c) s\n | c\n | ibivibiv/math_instruct | |
Does -1 = 1/1197834?\n | False\n | ibivibiv/math_instruct | |
Calculate -5658 divided by 3092.\n | -2829/1546\n | ibivibiv/math_instruct | |
Rearrange 7 + 0*o - 2*o**4 - 4*o + 3*o + 3*o**4 to the form y + v*o**4 + b*o**3 + l*o**2 + i*o and give v.\n | 1\n | ibivibiv/math_instruct | |
Is 2301581 a prime number?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 w and 3 f when four letters picked without replacement from mwymwffwfwywwffmwm.\n | 7/306\n | ibivibiv/math_instruct | |
What comes next: -676, -1345, -2000, -2635, -3244, -3821?\n | -4360\n | ibivibiv/math_instruct | |
Solve 3 = 4*k - 5*k for k.\n | -3\n | ibivibiv/math_instruct | |
What is next in 55678684, 111357369, 167036054?\n | 222714739\n | ibivibiv/math_instruct | |
Is 3473 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let o = 258 + -263. Is (11 + o)/(-2) - (-342 - -2) composite?\n | False\n | ibivibiv/math_instruct | |
Simplify (((n**4/n)/(n/(n*n**(-2))*n))/(n/(n*n*n*n**(-6))*n*(n/n**(-1)*n*n)/n))/((n**0)**(-46/7)/(n**(-2/7))**(-45)) assuming n is positive.\n | n**(34/7)\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 6 and 259867?\n | 1559202\n | ibivibiv/math_instruct | |
Let a(z) = z + 1. Let n(g) = -7*g + 10. Let d(p) = 6*a(p) + n(p). Let t be d(12). Solve -y = t*s + 3*y + 28, y = -5 for s.\n | -2\n | ibivibiv/math_instruct | |
Collect the terms in 128*r**2 + 45*r**2 - 32*r**2 + 34*r**2 + 25*r**2.\n | 200*r**2\n | ibivibiv/math_instruct | |
Let d(o) = -16*o**3 + 2*o + 1. Let b be d(-1). What is the units digit of (-3)/(-5) - (-6)/b?\n | 1\n | ibivibiv/math_instruct | |
Let d be 3/(3/2)*2. Suppose 0 = d*q - 6*q. Let b = 307/10 + -61/2. Which is smaller: q or b?\n | q\n | ibivibiv/math_instruct | |
Let y(j) be the third derivative of 14*j**3 + 1/30*j**5 + 0 + j**2 - 4*j + 37/24*j**4. What is the first derivative of y(l) wrt l?\n | 4*l + 37\n | ibivibiv/math_instruct | |
Let d = 2541.2 - 2337. Let u = -183 + d. What is u rounded to the nearest integer?\n | 21\n | ibivibiv/math_instruct | |
Solve -14664 + 82 = -6677*r - 1228 for r.\n | 2\n | ibivibiv/math_instruct | |
Let k(j) = 22*j + 8. Is k(5) prime?\n | False\n | ibivibiv/math_instruct | |
((-50)/(-15))/((-40)/45*-3)\n | 5/4\n | ibivibiv/math_instruct | |
What is the first derivative of -169581904*u + 341171493 wrt u?\n | -169581904\n | ibivibiv/math_instruct | |
-0.5+-7.599\n | -8.099\n | ibivibiv/math_instruct | |
What is 526 minutes before 6:44 AM?\n | 9:58 PM\n | ibivibiv/math_instruct | |
Work out -1447908 - -0.3.\n | -1447907.7\n | ibivibiv/math_instruct | |
Convert 675174.3 years to months.\n | 8102091.6\n | ibivibiv/math_instruct | |
Let g = -1423.3 - -1423. What is the nearest to -1 in 0.023, g, 3/7, 5?\n | g\n | ibivibiv/math_instruct | |
What is 284 to the power of 1/2, to the nearest integer?\n | 17\n | ibivibiv/math_instruct | |
Let n = 70 - 37. Let y = n - 19. Solve -i + 1 = 0, 4*s - s + y = 5*i for s.\n | -3\n | ibivibiv/math_instruct | |
Let v(q) = -9*q - 22. Suppose 2*o + 4 = -5*z, -4*o + 2*z - 9 = -1. Let n be v(o). Let t be (-20)/(-65)*(-1)/n. Which is bigger: t or 1?\n | 1\n | ibivibiv/math_instruct | |
What is the units digit of 932?\n | 2\n | ibivibiv/math_instruct | |
Find the third derivative of -14282673*a**4 + 4*a**3 - 69*a**2 + 3*a - 117100.\n | -342784152*a + 24\n | ibivibiv/math_instruct | |
What is the highest common factor of 333144 and 672?\n | 168\n | ibivibiv/math_instruct | |
Suppose -4*y = -8 - 8. Suppose -45 = -y*h - h. Suppose -16 = -5*d + h. What is the units digit of d?\n | 5\n | ibivibiv/math_instruct | |
What is the common denominator of -43/44576 and -113/630?\n | 2005920\n | ibivibiv/math_instruct | |
-310435 (base 8) to base 14\n | -295c9\n | ibivibiv/math_instruct | |
What is 49765 to the power of 1/7, to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
Let m(c) = 1579*c - 386864. Give m(245).\n | -9\n | ibivibiv/math_instruct | |
Simplify (a/a**(-6/13))**(-28)*(a**3*a*a)/((a*a**(1/25))/a) assuming a is positive.\n | a**(-11688/325)\n | ibivibiv/math_instruct | |
What is the units digit of 38699470?\n | 0\n | ibivibiv/math_instruct | |
Suppose 8*w = 4*x - 44, 11 = 3*x - w - 2. Let 2*r - 3*r**2 - 1/3 + 4/3*r**x = 0. Calculate r.\n | 1/4, 1\n | ibivibiv/math_instruct | |
What is the second smallest value in 3, -0.1, -1, 6?\n | -0.1\n | ibivibiv/math_instruct | |
Let r(n) = -5*n - 1. Let t be r(-6). Let m be (-4)/10 - t/20. Let i = -9/4 - m. What is the third smallest value in i, 1, -0.5?\n | 1\n | ibivibiv/math_instruct | |
Let x be (4/6*2)/6. Let p be (-1698)/(-10) + 2 + -3. Let d = p + -168. Sort 3, d, x in descending order.\n | 3, d, x\n | ibivibiv/math_instruct | |
Does 69 divide 9214950?\n | True\n | ibivibiv/math_instruct | |
-bae60 (base 15) to base 11\n | -3761a8\n | ibivibiv/math_instruct | |
Express -49*m**3 - 54*m**3 + 28*m**3 + 2 as b*m**2 + n*m**3 + h + f*m and give n.\n | -75\n | ibivibiv/math_instruct | |
Let p(o) = -o - 1. Let c be p(-4). Suppose c*r + 0*r = 78. What are the prime factors of r?\n | 2, 13\n | ibivibiv/math_instruct | |
Suppose 3*y = 7*d - 3*d + 72, 5*y - 109 = 3*d. Suppose -y = 82*q - 84*q. Calculate the highest common divisor of q and 4.\n | 2\n | ibivibiv/math_instruct | |
-b (base 16) to base 10\n | -11\n | ibivibiv/math_instruct | |
Solve 9*a + 12 - 57 = 0 for a.\n | 5\n | ibivibiv/math_instruct | |
Is -21772364/17 at least -1280727?\n | False\n | ibivibiv/math_instruct | |
In base 16, what is -4b - -6?\n | -45\n | ibivibiv/math_instruct | |
Evaluate (((-123)/(-205))/((-3)/(-3)))/(15/(-225)).\n | -9\n | ibivibiv/math_instruct | |
What is the least common multiple of 30*(1/(-2))/(33/(-44)) and 19/1 + -1 + 2?\n | 20\n | ibivibiv/math_instruct | |
Let c be 6 + 0 + (1 - 2). Suppose -18 = -2*y + 5*q - c, -4*y + 2*q + 34 = 0. Find the third derivative of 549*h + y*h**6 - 6*h**2 - 549*h wrt h.\n | 1080*h**3\n | ibivibiv/math_instruct | |
What is 11392667 to the power of 1/10, to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
In base 3, what is 1100 + -12220?\n | -11120\n | ibivibiv/math_instruct | |
Let l be -2*((-10)/(-4))/5. Let h(g) = -21*g**3 - g - 1. Let c be h(l). Solve -3*v - q + 0*q - 16 = 0, 0 = -4*v - q - c for v.\n | -5\n | ibivibiv/math_instruct | |
Let z(o) = -o**2. Let f(c) = 408*c. Give z(f(j)).\n | -166464*j**2\n | ibivibiv/math_instruct | |
Let k(d) = -d. Let w(f) = 18*f**2 + 11*f. Let p(y) = -44*k(y) - 4*w(y). Let r(m) = -2*m. Give p(r(n)).\n | -288*n**2\n | ibivibiv/math_instruct | |
What is the highest common factor of 758446 and 372?\n | 62\n | ibivibiv/math_instruct | |
In base 15, what is a8 + 4?\n | ac\n | ibivibiv/math_instruct | |
Suppose -2 = -v - 5. Is 23 a factor of -3 - (-2 - v) - -43?\n | False\n | ibivibiv/math_instruct |
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