 + 5*u + 1. Let t(q) = -13*q**3 - 6*q**2 - 32*q - 181. Let c(d) = -6*o(d) - t(d). What is the first derivative of c(b) wrt b?
39*b**2 + 2
Let s(d) be the third derivative of -1/2*d**3 - 1/35*d**7 - 2*d**2 + 0*d**5 + 0 + 0*d**4 + 0*d**6 + 0*d. Differentiate s(h) wrt h.
-24*h**3
Let n(s) be the second derivative of -37*s**5/10 - 65*s**4/12 + s**2/2 - 11*s. What is the third derivative of n(l) wrt l?
-444
Let v(y) be the second derivative of y**8/28 + y**5/5 - 15*y**2/2 - 10*y. Let j(p) be the first derivative of v(p). Find the third derivative of j(q) wrt q.
720*q**2
Let m(f) = f**3 - f**2 + f + 7. Let k be m(0). Find the second derivative of s + 2*s**4 + 6*s**4 + k*s wrt s.
96*s**2
Find the third derivative of l**2 - 4*l**2 - 460 - 84*l**5 + 450 wrt l.
-5040*l**2
Let h(f) = 79*f**2 + 3*f + 24. Let y(g) = 39*g**2 + g + 13. Let v(a) = -3*h(a) + 5*y(a). Find the second derivative of v(s) wrt s.
-84
Let t(p) = 4*p**3 - 3*p**2 - 361*p + 38. Let o(y) = 6*y**3 - 5*y**2 - 722*y + 74. Let s(z) = -3*o(z) + 5*t(z). What is the derivative of s(d) wrt d?
6*d**2 + 361
Let y = 29 - 30. Let w(h) = 21*h**4 - 18*h**2 + 21*h. Let g(m) = -m**4 + m**2 - m. Let q(v) = y*w(v) - 18*g(v). What is the second derivative of q(p) wrt p?
-36*p**2
Let q be 5 + -1 + (1 - 4). What is the first derivative of -q + 11*k - 1 + 7 wrt k?
11
Suppose 7*k - 14 = 7. Find the third derivative of -2131*s**k - 21*s**2 + 42*s**6 + 2131*s**3 wrt s.
5040*s**3
Suppose -74*s - 51 = -77*s. Find the second derivative of 7*r + 16*r**3 + s*r - 10*r wrt r.
96*r
Let j(t) be the first derivative of -71*t**6/6 + 158*t**3/3 - t**2 - 215. Find the third derivative of j(s) wrt s.
-4260*s**2
Let b = 54 - 8. What is the second derivative of 4*m**2 + 10*m**2 - b*m - 9*m**2 - 24*m**2 wrt m?
-38
Let g(q) = -20*q**2 - 4*q - 129. Let a(z) = 59*z**2 + 11*z + 388. Let c(m) = -4*a(m) - 11*g(m). Find the first derivative of c(s) wrt s.
-32*s
Let v(f) = 102*f**3 - 5*f**2 + 6. Let i(a) = -205*a**3 + 10*a**2 - 13. Let p(w) = 6*i(w) + 13*v(w). What is the third derivative of p(r) wrt r?
576
Let g be 14/(-56)*(1 + -5). Let l(q) = 12*q. Let u(r) = 1. Let k(v) = g*l(v) - u(v). What is the derivative of k(x) wrt x?
12
Differentiate 8*p**4 + 12*p**2 - 13 + 94 - 40 - 3*p**2 with respect to p.
32*p**3 + 18*p
Find the second derivative of 103*f - 10*f**3 - 93*f + 2*f**4 + 3*f**4 + 2 - 1 wrt f.
60*f**2 - 60*f
Let c(v) be the second derivative of -263*v**4/6 - 3*v**3 + 15*v**2/2 - 51*v + 2. Find the second derivative of c(w) wrt w.
-1052
Let s(o) be the first derivative of 1/2*o**6 + 0*o + 1/2*o**2 + 0*o**4 + 5 - 3/5*o**5 - 8/3*o**3. Find the third derivative of s(r) wrt r.
180*r**2 - 72*r
Let s be (2 - -2)*(-5)/(-4). What is the second derivative of -85*j - 3*j**s + 70*j - 7*j**5 wrt j?
-200*j**3
Let v(q) be the third derivative of -q**7/70 - 2*q**5/15 + 6*q**3 - 67*q**2. Find the first derivative of v(r) wrt r.
-12*r**3 - 16*r
Let f(w) be the second derivative of -w**6/720 + w**5/24 + 11*w**4/12 - w. Let q(b) be the third derivative of f(b). Differentiate q(m) with respect to m.
-1
Suppose -4*v - 180 = -5*a, -a + 6*a - 180 = v. Find the third derivative of -a*h**2 - 242*h**4 + 242*h**4 - 4*h**5 wrt h.
-240*h**2
Let z(t) = t**2 + 1. Let d(a) = -17*a**2 - 9*a + 3. Suppose -9 = 7*w - 2. Let o(k) = w*d(k) + 3*z(k). What is the second derivative of o(g) wrt g?
40
Let k(a) be the first derivative of 13*a**4/4 - a**2/2 - 125*a + 90. What is the first derivative of k(p) wrt p?
39*p**2 - 1
Let w be 88/(-40) + 2 + (-1)/(-5). Suppose -16 = -3*v - 2*r, 4*r = 6*v - 4*v. What is the first derivative of w*d**2 - 3 - v*d**2 - d**2 wrt d?
-10*d
Suppose -2*l - 15 + 41 = 0. Suppose 3*v + 2*v = w + l, -16 = -2*v + 4*w. Differentiate v*k + 1 - 2 + 3*k with respect to k.
5
Let d(j) = -126*j**4 - 5*j**2 - 5*j + 38. Let p(w) = 128*w**4 + 4*w**2 + 4*w - 37. Let r(m) = 4*d(m) + 5*p(m). What is the derivative of r(n) wrt n?
544*n**3
Let x(m) = -m**3 + 3*m**2 + 4*m + 2. Let f be x(4). Differentiate 25 - f*p**4 + 10 - 6*p**4 - 60 with respect to p.
-32*p**3
What is the third derivative of 0*o**5 - 71 - 2*o**2 + 340*o**6 - 354*o**6 - 3*o**5 wrt o?
-1680*o**3 - 180*o**2
Let m(l) = -27*l**2 - 6*l - 30. Let u(v) = -41*v**2 - 9*v - 44. Let d(a) = 8*m(a) - 5*u(a). What is the derivative of d(b) wrt b?
-22*b - 3
Let a(r) = -331*r**3 - 101*r**2 - 6*r - 2. Let b(v) = 331*v**3 + 100*v**2 + 5*v + 2. Let y(l) = 5*a(l) + 6*b(l). Find the third derivative of y(c) wrt c.
1986
What is the derivative of -19 - 2209*y + 2183*y - 36 + 3*y**2 wrt y?
6*y - 26
Let d(w) = -w**3 - w**2 - w. Let t(y) = -43*y**4 + 5*y + 4*y**3 + 5 + y**3 + 5*y**2 + 42*y**4. Let q(n) = -5*d(n) - t(n). Differentiate q(l) with respect to l.
4*l**3
Suppose -2*u + 3*u = 0. Suppose -v + 2 = h, 0 = 5*v - u*h - h - 28. What is the third derivative of f + 5*f**2 - 7*f**4 - f + v*f**2 wrt f?
-168*f
Let s(j) = 112*j**4 - 5*j**3 - 54. Let l(f) = -336*f**4 + 14*f**3 + 162. Let o(a) = 5*l(a) + 14*s(a). What is the derivative of o(h) wrt h?
-448*h**3
What is the second derivative of 41*g - 457*g + 23*g - 461*g**3 - 151*g - 52*g**3 wrt g?
-3078*g
Suppose n + 1 = 3. Find the second derivative of 13*y**2 + 18*y - 9*y**n - 7*y wrt y.
8
Let x(b) be the first derivative of -219*b**5/5 + b**2/2 + 160*b + 465. Differentiate x(v) with respect to v.
-876*v**3 + 1
Let t(f) = 60*f**4 + 22*f + 70. Let o(j) = -2*j - 1. Let w(y) = -22*o(y) - 2*t(y). Differentiate w(v) with respect to v.
-480*v**3
Let f(b) be the first derivative of -33*b**5/5 + 5*b**4/4 + 529*b**3/3 + 117. Find the third derivative of f(k) wrt k.
-792*k + 30
Let i(n) be the third derivative of 79*n**6/120 + 43*n**3/3 + 17*n**2 - 3. Find the first derivative of i(x) wrt x.
237*x**2
What is the third derivative of -17*s**2 - 6*s**6 - 102*s**2 - 13*s**2 - 17*s**6 wrt s?
-2760*s**3
Find the first derivative of 75 - 921 - 2*a + 1255*a**2 - 1255*a**2 - 163*a**4 wrt a.
-652*a**3 - 2
Let r(i) = 252*i**3 - 865*i - 9. Let l(w) = -64*w**3 + 216*w + 2. Let x(z) = -9*l(z) - 2*r(z). What is the second derivative of x(h) wrt h?
432*h
Let l(u) be the third derivative of u**9/126 - 31*u**6/60 - u**5/20 - 25*u**4/4 - 127*u**2 - 1. What is the third derivative of l(v) wrt v?
480*v**3 - 372
Let g(k) = -2*k**3 + 44*k**2 - 3*k. Let m = -129 - -132. Let r(w) = w**3 + w. Let d(n) = m*r(n) + g(n). What is the third derivative of d(t) wrt t?
6
Let i(m) = m**2 - 9*m + 6. Let a be i(9). Let f be 2/(-2)*(-10 + a). Find the third derivative of 50*d + 6*d**2 + f*d**3 - 50*d wrt d.
24
Let g(h) be the second derivative of -127*h**4/6 + h**3/6 + 43*h**2/2 + 25*h - 1. What is the second derivative of g(p) wrt p?
-508
What is the first derivative of 5*u + 2*u + 14 + 3*u - 34 wrt u?
10
Let f(d) be the third derivative of 12*d**2 + 0*d**5 + 0*d + 0*d**6 + 1/210*d**7 + 0*d**4 - 5/3*d**3 + 0. Find the first derivative of f(a) wrt a.
4*a**3
Let z(h) = -475*h**2 - 17*h + 13. Let w(u) = 949*u**2 + 37*u - 28. Let t(l) = 6*w(l) + 13*z(l). Find the second derivative of t(x) wrt x.
-962
Suppose -4*o - 2*z + 2 = 0, 0*o - z = -3*o + 9. What is the first derivative of 111*x - 9 + o*x**4 - 111*x wrt x?
8*x**3
Suppose 0 = 3*z - 4 - 5. Suppose 4*w - 2*w + 4 = 2*q, -4 = -2*q + z*w. Find the third derivative of x**6 - 2*x**6 - 3*x**6 + 5*x**q wrt x.
-480*x**3
Let h(c) = 54*c**4 - 3*c**2 + 34*c - 6. Let a(l) = l**4 + 2. Let o(k) = -a(k) - h(k). What is the second derivative of o(s) wrt s?
-660*s**2 + 6
Find the second derivative of 56*q + 10*q**5 + 235*q**5 + 86*q - 49*q**5 + 93*q wrt q.
3920*q**3
Let z(r) be the second derivative of 23*r**5/60 - 5*r**4/12 - r**2 + 36*r. Let q(h) be the first derivative of z(h). Find the second derivative of q(m) wrt m.
46
Let n(d) = -1109*d**3 - 1741*d**2 - 7*d - 8. Let z(s) = -369*s**3 - 580*s**2 - 2*s - 2. Let b(c) = -2*n(c) + 7*z(c). What is the third derivative of b(a) wrt a?
-2190
Let a(m) be the second derivative of 0 + 0*m**2 + 0*m**3 - 9*m + 2/3*m**4 + 0*m**5 - 19/42*m**7 + 0*m**6. Find the third derivative of a(r) wrt r.
-1140*r**2
What is the third derivative of -6*u**4 + 250*u**2 - 31*u**5 - 179*u**2 - 13*u**5 + 238*u**2 + 46*u**2 wrt u?
-2640*u**2 - 144*u
Let x = 39 + -19. What is the third derivative of 16*m**3 - 10*m**2 + 35*m**2 - x*m**2 - 16*m**2 wrt m?
96
Let g