
4
Let g(d) be the second derivative of -2*d**6/15 - 43*d**3/6 - 47*d. What is the second derivative of g(y) wrt y?
-48*y**2
Find the second derivative of -4 - 213*i**5 + 4*i**4 - 54*i**5 - 130*i + 10*i**4 - 14*i**4 wrt i.
-5340*i**3
Let m(t) = -t + 20. Let h be m(17). Suppose -5*k + 0*c + 3*c = -17, 5*k = -4*c - 11. Differentiate -y**3 + k + 11*y**h - 1 - 6 with respect to y.
30*y**2
Let f = -48 + 50. What is the third derivative of -13*g + 13*g - 39*g**f - 15*g**6 wrt g?
-1800*g**3
Let p be 70/4*4/14. Let m(y) be the third derivative of 1/30*y**p + 0 + 0*y**4 + 5/3*y**3 + 0*y + 8*y**2. Differentiate m(r) with respect to r.
4*r
Find the third derivative of -483*n**2 + 51*n**2 + 343*n**3 - 1 + 1 + 46*n**2 wrt n.
2058
Let p(n) be the third derivative of 97*n**6/120 + 21*n**5/20 - n**4/24 - 4*n**2 - n. What is the third derivative of p(b) wrt b?
582
Find the first derivative of 36*a + 32*a + 155 - 68*a - 75*a**3 - 127*a**3 wrt a.
-606*a**2
Suppose -37 = 4*n + 5*y - 114, -n + 4*y - 7 = 0. Suppose 5*t + 3 = n. Find the second derivative of 0*a**4 - 5*a**4 - 3*a - 2*a**2 + t*a**2 wrt a.
-60*a**2
Let p(n) be the second derivative of -163*n**5/20 - n**4/12 + 779*n**3/6 - 228*n + 2. Find the second derivative of p(o) wrt o.
-978*o - 2
Let q(z) be the second derivative of -7/10*z**5 + 0*z**4 + 0 - 12*z + 0*z**2 - 3*z**3. Find the second derivative of q(p) wrt p.
-84*p
Find the second derivative of 44*d**2 + 259*d + 73 - 59*d - 73 wrt d.
88
Let z(q) = 9*q + 38. Let t be z(-4). What is the derivative of -2*g - 31 + t*g**4 - g - 15*g wrt g?
8*g**3 - 18
Let q(o) = -413*o**3 + 10*o**2 - 5*o + 567. Let d(z) = 619*z**3 - 14*z**2 + 7*z - 850. Let y(s) = -5*d(s) - 7*q(s). Differentiate y(x) with respect to x.
-612*x**2
What is the second derivative of -8*q + 0*q + 2 + 1 + 30*q + 2*q**5 - 43*q**3 wrt q?
40*q**3 - 258*q
Differentiate -d**4 - 3*d**2 - 16*d - 112 - d**4 + 9*d**2 + 16*d with respect to d.
-8*d**3 + 12*d
Let b(d) = -2*d**3 - 3*d**2 - 118*d - 52. Let y(n) = 4*n**3 + 5*n**2 + 236*n + 107. Let z(o) = 5*b(o) + 3*y(o). Find the first derivative of z(s) wrt s.
6*s**2 + 118
Suppose -6 = 10*q - 13*q. What is the derivative of -d - q*d - 101 + 117 + d wrt d?
-2
What is the third derivative of -8367*m**2 - 46*m**4 - 115*m**4 + 8603*m**2 wrt m?
-3864*m
Suppose 5*g = -5*l + 30, -5*g + 10*l + 50 = 5*l. Find the third derivative of -g*j**3 + 0*j**2 + 7*j**2 - 3*j**3 + 0*j**3 wrt j.
-66
Let i(m) be the first derivative of 2*m**6/5 - m**4/12 - 10*m - 17. Let y(d) be the first derivative of i(d). What is the third derivative of y(k) wrt k?
288*k
Let j(h) = -371*h**3 + 313*h - 17. Let f(a) = 62*a**3 - 52*a + 3. Let w(v) = 34*f(v) + 6*j(v). What is the second derivative of w(o) wrt o?
-708*o
Let p = -37 - -37. Suppose p*i + 5*i - 15 = 0. What is the third derivative of -5*u**4 - 5*u**2 - 4*u**2 + i*u**4 wrt u?
-48*u
Let h(i) be the third derivative of -i**8/336 + 49*i**6/60 + 163*i**4/8 - i**3/6 + 5*i**2 - 7*i. Find the second derivative of h(q) wrt q.
-20*q**3 + 588*q
Let r = 8 - 2. Let l be (30/5)/(r/8). What is the first derivative of 2*a - 5 + 8 - 5*a - l wrt a?
-3
Let d(u) = -u**3 - 20*u**2 - 2*u - 29. Let l be d(-20). Differentiate 1 + 4 + 6 + l*y**3 with respect to y.
33*y**2
Suppose -13*l = -4*l - 7*l. Differentiate l*m**3 - 4*m**3 + 55 - 78 with respect to m.
-12*m**2
Suppose -6 = -3*o + 2*o. Let u = 8 - o. What is the third derivative of 20*c**4 + c**u - 3*c**5 - 20*c**4 + c**5 wrt c?
-120*c**2
Let w be 4/10 - 0 - (-248)/5. Find the third derivative of -10*z**4 + w*z**2 - 95*z**2 + 54*z**2 wrt z.
-240*z
Let w = -80 + 85. What is the third derivative of 63*h**5 - h**2 - 34*h**5 - 36*h**w wrt h?
-420*h**2
Find the second derivative of -30976*g + 1 - 251*g**5 + 30939*g + 0 wrt g.
-5020*g**3
Suppose -27 = -s + 2*c, -5*s + 20 = 2*c - 55. What is the first derivative of 8 - 9*x**4 - 4 - s wrt x?
-36*x**3
Let v be ((-4)/(-12))/((-1)/(-6)). Suppose -v*u + 16 - 4 = 0. Find the third derivative of -6*y**u + 9*y**2 - 12*y**6 + 9*y**6 - 4*y**6 wrt y.
-1560*y**3
What is the derivative of -233 - 62*r + 190*r + 54 - 67*r - 62*r + 692*r**2 wrt r?
1384*r - 1
Let u(w) = w + 4 + 5 + w + 3. Let t be u(-5). What is the second derivative of 5*i**2 + 4*i**2 - 5*i - i**2 - 5*i**t wrt i?
6
Suppose -g - k - 8 = -4*k, -10 = -2*k. What is the second derivative of -106 + g*p**2 - 7*p + 106 wrt p?
14
Suppose r = -4*t + 4 + 8, -8 = 2*r. Suppose 5*f + 25 = 0, 0*o - 2*f = -3*o + 22. What is the second derivative of m**4 + 2*m + 0*m + t*m**o - m wrt m?
60*m**2
Suppose l = -3*l + 12. Suppose l*b + 2*m = 0, 2 = -5*b - 3*m - m. Find the third derivative of -q**5 + q**5 + 6*q**b + 8*q**6 + 0*q**5 wrt q.
960*q**3
Suppose -x - 9 = -5*w, 0*w = w - 5*x + 3. Let b be (-2)/(-3) - w/3. Find the first derivative of 0*n + 3 + 4*n + b*n wrt n.
4
Let d(p) = 114*p**4 + 5*p**3 + 5*p**2 + 52. Let m(x) = 114*x**4 + 6*x**3 + 6*x**2 + 53. Let t(g) = -6*d(g) + 5*m(g). Differentiate t(u) with respect to u.
-456*u**3
What is the second derivative of 12*c**4 + 8*c**4 + 2*c**5 + 2*c**5 - 25*c**4 + 50*c wrt c?
80*c**3 - 60*c**2
Let s(l) = -18*l**3 + 6*l**2 - 2*l - 57. Let h(a) = 17*a**3 - 9*a**2 + 3*a + 56. Let b(p) = 2*h(p) + 3*s(p). What is the first derivative of b(y) wrt y?
-60*y**2
Suppose 0 = 3*s - 5*s + 4. Find the second derivative of -2*w**3 - 7*w**5 + 8*w + s*w**3 - 14*w wrt w.
-140*w**3
Let p(w) be the second derivative of w**4/6 + 22*w**3/3 + 69*w**2/2 + 15*w + 2. What is the derivative of p(v) wrt v?
4*v + 44
What is the third derivative of 180*a - 180*a - 4*a**2 - 62 + 794*a**6 + 2*a**2 - 4*a**2 wrt a?
95280*a**3
Let u(f) = -f**2 - 9*f - 5. Let n be u(-8). Let z be 3/(-9) + 7/n. What is the second derivative of 2*v**2 - 3*v - z*v - 4*v**2 - v**2 wrt v?
-6
What is the derivative of -73 + 9 + 83*r**2 - 40 - 22 wrt r?
166*r
Find the third derivative of -86*m**2 + 2*m**5 - 143*m**4 - 129*m**2 + 36*m**2 - 146*m**4 - 3*m**5 wrt m.
-60*m**2 - 6936*m
Suppose -r = -2*r + 13*r. Let l(n) be the first derivative of 0*n**3 + 2 + 0*n + r*n**4 + 3/5*n**5 - n**2. Find the second derivative of l(s) wrt s.
36*s**2
Let y(r) = r**2 + 1. Let l = 21 - 17. Let p(h) = -2*h**2 - 16. Let o(f) = l*y(f) + p(f). What is the first derivative of o(t) wrt t?
4*t
Let s be (-91)/(-9) - (-1)/(-9). Find the second derivative of -s*d**4 + 16*d - 8*d - 5*d**4 wrt d.
-180*d**2
What is the third derivative of -161*u**3 - 26*u**2 + 7*u**2 - 41*u**2 wrt u?
-966
Let z be (3/2)/((-21)/8 + 3). What is the third derivative of 390*b - b**5 - 390*b + z*b**2 wrt b?
-60*b**2
Suppose -n - 7 = 8*s - 11*s, 0 = 2*s - 3*n. What is the third derivative of -s + 2 + 3 - 9*g**5 + 8*g**5 + 6*g**4 - 2*g**2 wrt g?
-60*g**2 + 144*g
What is the third derivative of -85*j**6 + 5*j**2 - 88*j**6 + 190*j**6 - 1 wrt j?
2040*j**3
Find the first derivative of -44*b**3 + 6*b**3 - 83 + 10*b**3 wrt b.
-84*b**2
Let d = 100/19 + -943/190. Let m(t) be the second derivative of -d*t**5 - 2*t**2 + 0 + 0*t**3 + 0*t**4 + 4*t. What is the first derivative of m(z) wrt z?
-18*z**2
Let n(b) = 195*b**4 - 12*b**2 - 6*b - 187. Let z(v) = 391*v**4 - 22*v**2 - 11*v - 375. Let l(x) = 11*n(x) - 6*z(x). Differentiate l(q) wrt q.
-804*q**3
Let c(i) be the second derivative of 55*i**4/12 + 23*i**2/2 - 6*i - 13. Differentiate c(g) wrt g.
110*g
Let c(b) be the third derivative of 15*b**8/56 - b**5/20 - b**3/2 - 90*b**2. Find the third derivative of c(l) wrt l.
5400*l**2
Let f = -36 + 38. Find the third derivative of 2*g**2 + f*g**2 + 0*g**2 + 6*g**2 - 16*g**3 wrt g.
-96
What is the third derivative of 21 - 10 - 11 - 215*z**3 + 69*z + z**2 wrt z?
-1290
Let a = -29 - -35. Suppose 0 = -3*t + a + 9. What is the second derivative of -3*y**3 + 0*y**t + 3*y**3 - 11*y**5 + 11*y wrt y?
-220*y**3
Find the second derivative of 2*i + 6*i**3 + i**2 - 2 + 111*i**3 - 89*i wrt i.
702*i + 2
Let u(g) = -g. Let n(d) = 9*d + 5. Let a = 73 - 74. Let y(p) = a*n(p) + 2*u(p). Find the first derivative of y(h) wrt h.
-11
Let h(t) be the first derivative of -4*t**7/7 - 3*t**4/2 + 19*t**3 + t**2 - 159. Find the third derivative of h(s) wrt s.
-480*s**3 - 36
Let v(l) be the second derivative of -297*l**5/20 + 157*l**3/6 + 310*l. What is the second derivative of v(i) wrt i?
-1782*i
Let s = -100 + 108. Find the third derivativ