4*t(n). Let p(r) = 10*r + 8. Let g(w) = -12*h(w) + 3*p(w). What is the first derivative of g(c) wrt c?
18
What is the second derivative of 160792*a**2 + 8*a + 205*a**5 - 3 - 160792*a**2 wrt a?
4100*a**3
Let a(k) be the second derivative of 13*k**4/12 - 11*k**3/6 - 115*k**2 + 2*k - 50. What is the derivative of a(f) wrt f?
26*f - 11
Let n(o) = 18*o**4 - 9*o**3 - 43*o - 10. Let a(q) = 9*q**4 - 4*q**3 - 21*q - 4. Let i(g) = 5*a(g) - 2*n(g). What is the second derivative of i(j) wrt j?
108*j**2 - 12*j
Let f(i) be the third derivative of i**5/60 - 19*i**4/24 + 153*i**3/2 + 2*i**2 + 392. What is the first derivative of f(q) wrt q?
2*q - 19
Let w(b) be the first derivative of -8*b + 0*b**3 + 0*b**2 - 7/4*b**4 - 8. Differentiate w(p) with respect to p.
-21*p**2
Let u(y) = y**3 - y**2 + y + 1. Let r(a) = a**5 - 13*a**3 + 9*a**2 - 39*a - 9. Let d(x) = 2*r(x) + 18*u(x). Find the second derivative of d(i) wrt i.
40*i**3 - 48*i
What is the first derivative of -8 + 3 - 5*k + 0 + 2 wrt k?
-5
What is the third derivative of -471*m**2 - 40*m**5 + 71*m**5 - 47*m**5 wrt m?
-960*m**2
Let h(i) be the second derivative of i**4 - i**3 + 387*i**2 - 5*i - 96. Differentiate h(w) wrt w.
24*w - 6
Let b(x) be the first derivative of -7*x**5/4 - 29*x**2/2 + 33*x - 39. Let v(m) be the first derivative of b(m). Find the first derivative of v(w) wrt w.
-105*w**2
What is the second derivative of j + 4*j + 73*j**3 - 3*j + 3*j wrt j?
438*j
Let g(y) be the first derivative of 3*y**4/4 - y**3/3 + y - 8. Let v be g(1). What is the third derivative of 2*a**3 - a**3 + 4*a**v + a**2 wrt a?
30
Let f(x) be the first derivative of 73*x**3/3 + 81*x - 43. Find the first derivative of f(m) wrt m.
146*m
Let u(s) = 352*s + 827. Let i(m) = -356*m - 828. Let y(h) = 3*i(h) + 2*u(h). Differentiate y(v) wrt v.
-364
Let l(s) be the first derivative of 190*s**3/3 + 867*s**2/2 - 11. Find the second derivative of l(c) wrt c.
380
Suppose 5 = -5*x + 15. Find the first derivative of -c**3 - 5 + x*c**3 - 12*c**4 + 18*c**4 - c**4 wrt c.
20*c**3 + 3*c**2
Let r(v) be the second derivative of v**4/4 + v**3/6 + 61*v**2/2 - 57*v. Differentiate r(l) with respect to l.
6*l + 1
Let i(w) = -2770*w**2 + 1945. Let k(l) = 198*l**2 - 139. Let s(y) = 4*i(y) + 55*k(y). Differentiate s(f) with respect to f.
-380*f
Let x(p) be the third derivative of p**7/105 - 3*p**6/40 + 197*p**5/60 + p**4/24 - 40*p**2 - 2*p. Find the third derivative of x(f) wrt f.
48*f - 54
Let n(i) be the third derivative of 23*i**7/105 - 5*i**4/8 + 5*i**3/6 + 7*i**2 + 12. What is the second derivative of n(u) wrt u?
552*u**2
Let z(p) be the third derivative of -p**5/60 + 7*p**4/4 - 28*p**3/3 - 167*p**2. What is the derivative of z(l) wrt l?
-2*l + 42
Let a = -63 + 68. Let z = 3 + 0. What is the second derivative of -c - a*c**2 + c + z*c**2 - 7*c wrt c?
-4
What is the first derivative of -5631 + 0*p + 6613 - 3*p wrt p?
-3
Suppose -t = -0*t - h - 9, -5*t + 3*h = -55. Let y = -9 + t. Find the third derivative of -2*c + 2*c - y*c**4 - 78*c**2 + 81*c**2 wrt c.
-120*c
Let y(u) be the first derivative of u**6 + 3 + 0*u + 0*u**4 + 0*u**2 - 17/3*u**3 + 0*u**5. Find the third derivative of y(b) wrt b.
360*b**2
Let q(t) be the first derivative of 53*t**4/4 - t**2/2 + 18*t - 38. What is the second derivative of q(r) wrt r?
318*r
What is the first derivative of -155 - 204*i**2 - 32*i + 205*i**2 + 13*i - 45*i wrt i?
2*i - 64
Let k(g) = 6*g**2 - 6*g - 1. Let v(x) = x**2 - 199*x - 1 + 199*x. Let w = -4 - -3. Let d(t) = w*k(t) + v(t). What is the second derivative of d(h) wrt h?
-10
Let t = 4 + -5. Let y(d) = -d - 1. Let c(n) = 3*n**3 - n - 6. Suppose 21 + 21 = 7*z. Let g(o) = t*c(o) + z*y(o). What is the second derivative of g(m) wrt m?
-18*m
Let b = -328/3 - -110. Let s(v) be the first derivative of 0*v**3 - 1/2*v**2 + 0*v + 0*v**4 + 0*v**5 - b*v**6 - 2. Find the second derivative of s(x) wrt x.
-80*x**3
Let w(s) be the second derivative of -s**8/1344 + s**5/12 + s**4 - 8*s. Let y(g) be the third derivative of w(g). Differentiate y(z) wrt z.
-15*z**2
Let h(z) be the third derivative of 0*z + 7*z**2 - 7/60*z**5 + 0 + 0*z**3 + 1/105*z**7 + 0*z**6 + 0*z**4. What is the third derivative of h(c) wrt c?
48*c
Let h(z) be the first derivative of -439*z**6/6 + 4*z**2 + 5*z - 841. Find the second derivative of h(y) wrt y.
-8780*y**3
Let s(g) be the third derivative of 31*g**5/30 + 47*g**4/24 - 110*g**2. What is the second derivative of s(j) wrt j?
124
Let i = 22 + -18. Suppose 0 = -i*f + 5*n + 18, -f + 3 = -3*n - 5. What is the derivative of -o**f - o**2 - 14 + 18 wrt o?
-4*o
Let k(i) = i**2 + 5 - 4 + i - 2*i. Let n(q) = 11*q**2 + 17*q - 4. Let o(x) = 4*k(x) + n(x). Find the second derivative of o(j) wrt j.
30
What is the third derivative of 2*x + 2*x**3 + x**4 + 385*x**2 - 2*x - 498*x**2 + 0*x**4 wrt x?
24*x + 12
Let j(x) = 2*x + 1. Let o(k) = -12*k - 6. Let a(r) = -r**2 + 7*r + 2. Let m be a(8). Let l(g) = m*o(g) - 34*j(g). Differentiate l(f) wrt f.
4
Differentiate -10*z**3 + 578*z - 16 - 578*z - 3*z**3 with respect to z.
-39*z**2
Let p = -36 - -36. Suppose -5*z + 60 = 5*q, 0 = -5*z - p*z - q + 52. What is the third derivative of 3*r**4 - z + 7*r**2 + 14 - 4 wrt r?
72*r
Let p(c) = 3*c + 1. Let y(n) = 66*n + 18. Let s(r) = 12*p(r) - y(r). Differentiate s(m) wrt m.
-30
Let f(h) = 6*h - 31. Let x be f(9). Find the third derivative of 998*k**5 + 19*k**6 - 998*k**5 + x*k**2 wrt k.
2280*k**3
Find the third derivative of -57*i + 181*i - 4 - 22*i**2 - 66*i - 58*i + 43*i**3 wrt i.
258
Find the second derivative of 5*n**2 + 12*n - 9*n**2 + 24*n - 7*n + 9*n**3 wrt n.
54*n - 8
What is the third derivative of -14*q**2 + 2 + 7 - 9 + 89*q**2 + 888*q**4 wrt q?
21312*q
Let d(n) be the third derivative of -5*n**6/24 + 13*n**5/60 + 108*n**2. Find the third derivative of d(p) wrt p.
-150
Let w(q) be the second derivative of -32*q + 0*q**4 - 5/2*q**2 + 0*q**5 + 0*q**3 + 0 + 7/30*q**6. What is the first derivative of w(h) wrt h?
28*h**3
Let y = -152 - -157. Let o(f) be the second derivative of 0 + 0*f**3 + f + 1/10*f**y + 0*f**2 - 1/6*f**4. What is the third derivative of o(n) wrt n?
12
What is the derivative of -47*y**3 - 30*y**3 + 192 + 229*y - 229*y wrt y?
-231*y**2
Let m(d) = d**3 - 7*d**2 - 7*d - 6. Let v be m(8). Find the first derivative of 9*k**2 - v*k**2 + 7*k**2 - 5*k**2 - 4 wrt k.
18*k
Let b(l) be the first derivative of 55*l**3 + 12 - 3 - 12*l - 58*l**3. Differentiate b(h) with respect to h.
-18*h
Let t(y) be the first derivative of 0*y**2 - 8*y + 7/3*y**3 + 25. What is the derivative of t(o) wrt o?
14*o
Let p(n) be the third derivative of n**6/30 + n**4/12 - 79*n**3/6 - 105*n**2. What is the first derivative of p(z) wrt z?
12*z**2 + 2
Let z = -4 - -7. Let h(b) be the first derivative of -2 + 5 - 1 + 3*b - b**z. Differentiate h(s) wrt s.
-6*s
Let b(d) be the first derivative of -94*d**5/5 + 100*d + 42. Differentiate b(n) wrt n.
-376*n**3
Suppose -43*q = -48*q + 10. Differentiate 388 + q*y**4 - 333 + 4*y**3 - 8*y**4 with respect to y.
-24*y**3 + 12*y**2
Let i = 252 - 105. What is the second derivative of i*v + 171*v - 356*v + 15*v**3 wrt v?
90*v
Let n = 35 + -32. Find the second derivative of -5*d + 2*d - 11*d**n - 7*d wrt d.
-66*d
Let q(k) be the second derivative of -209*k**3/6 - 155*k**2 - 48*k + 1. What is the first derivative of q(g) wrt g?
-209
Let c(s) be the third derivative of 0*s**6 + 0*s**5 + 0 - 11*s**2 + 0*s + 0*s**4 + 2/105*s**7 - 2/3*s**3. What is the first derivative of c(p) wrt p?
16*p**3
Let y(f) be the third derivative of f**7/280 + f**5/30 + 13*f**4/24 - 2*f**2. Let v(s) be the second derivative of y(s). Differentiate v(d) wrt d.
18*d
Suppose 4*y + 8963 = 36563. Differentiate 6900*v - 38*v**2 - 32 - y*v with respect to v.
-76*v
Suppose -5*o - 29 = 2*i - 0*i, -5*i = 5*o + 20. Let x(c) = -2*c - 9. Let w be x(o). What is the first derivative of -8*s**4 + w*s**4 - 1 + 2*s**4 wrt s?
-4*s**3
Suppose -5*a = -6*a - 11. Let r = 13 + a. What is the first derivative of -2 - 5*y**2 - 2 + 0*y**r wrt y?
-10*y
Let w(m) be the third derivative of -7*m**6/40 + 71*m**3/6 + 2*m**2. Differentiate w(a) wrt a.
-63*a**2
Let a(q) be the third derivative of 119*q**4/24 - 15*q**3 - q**2 + 5. Differentiate a(x) wrt x.
119
Let r(h) = -350*h**2 - 318*h - 3. Let k(u) = -699*u**2 - 635*u -