
Let f(a) be the third derivative of -a**8/12 - 4*a**7/105 - 15*a**5/2 + 282*a**2 - a. What is the third derivative of f(b) wrt b?
-1680*b**2 - 192*b
Let g(t) = -2*t**3 - t + 1. Let o(v) = -20*v**3 - 4*v**2 + v - 8. Let n(f) = 4*g(f) + o(f). What is the second derivative of n(d) wrt d?
-168*d - 8
Let z(i) = -i**3 + 3*i**2 + 4*i + 4. Let c be z(4). What is the second derivative of -47*y**5 + 8*y**c - 13 + 19*y**4 + 49*y**5 + 2*y wrt y?
40*y**3 + 324*y**2
Let u(k) be the first derivative of 2 + 0*k**4 - 16/3*k**3 + 0*k + 2*k**7 + 0*k**2 + 0*k**6 + 0*k**5. Find the third derivative of u(m) wrt m.
1680*m**3
Let a(b) = 187*b + 40. Let p(h) = 2431*h + 517. Let n(r) = -66*a(r) + 5*p(r). What is the derivative of n(w) wrt w?
-187
Suppose 6 = 4*y - 2. Suppose 20*u - 47 = 93. What is the third derivative of -w**2 + u*w**4 - y*w**4 + 6*w**2 - 2*w**4 wrt w?
72*w
Find the second derivative of -5*l + 123*l**4 + 0 - 225*l**4 - 1 wrt l.
-1224*l**2
Suppose 0 = -3*m + 2*u + 8, -5*m + u + 1 + 17 = 0. What is the third derivative of -4*z**m + 6*z**4 + 4*z**4 - 7*z**2 wrt z?
144*z
Let l(d) = 92*d**2 + 8*d - 121. Let r(f) = 21*f**2 + 2*f - 30. Let i(u) = 2*l(u) - 9*r(u). Differentiate i(w) with respect to w.
-10*w - 2
Let k(q) be the third derivative of q**6/30 - 17*q**5/60 - q**4/24 + 7*q**3/2 - q**2 - 29*q. Find the second derivative of k(a) wrt a.
24*a - 34
Let x(v) be the second derivative of 14*v - 10/21*v**7 - 4/3*v**4 + 0*v**2 + 0*v**6 + 0*v**3 + 0*v**5 + 0. What is the third derivative of x(j) wrt j?
-1200*j**2
Let k(v) = -v**2 - 7*v + 20. Let o be k(-9). Find the third derivative of 12*r**4 + 4*r - 17*r**2 + 4*r**o - 4*r wrt r.
288*r
What is the first derivative of -289*q**4 + 22 - 286*q**4 + 3*q**3 + 578*q**4 + q**3 wrt q?
12*q**3 + 12*q**2
Find the first derivative of 106*p + 28 + 1 + 51 - 3 wrt p.
106
Differentiate 63 - 433 - 19629*r + 25*r**3 + 19631*r + 18*r**3 wrt r.
129*r**2 + 2
Suppose 7*h + y = 4*h + 17, 0 = 3*h - 2*y - 20. Find the third derivative of -40*p**2 - 41*p**2 + 74*p**2 - 4*p**h wrt p.
-480*p**3
Let r(x) be the first derivative of -5*x**3 - x**2/2 + 74*x + 59. Differentiate r(v) with respect to v.
-30*v - 1
Let q = -41 - -56. Differentiate 19 - q*f**4 + 23*f - 23*f with respect to f.
-60*f**3
Let c(k) be the second derivative of -29*k**3/2 + 105*k**2/2 + 19*k + 1. Find the first derivative of c(z) wrt z.
-87
Let v = 45 - 42. Find the first derivative of 9 + 59*x**v - 39 - 16*x**3 - x**2 wrt x.
129*x**2 - 2*x
Let b(n) = -2*n + 4. Let s(x) = -x**2 - x. Let z be s(0). Let q be b(z). What is the third derivative of -8*p**3 + 11*p**3 + 7*p**q - 6*p**2 - 3*p**3 wrt p?
168*p
Let c(k) be the first derivative of -44/3*k**3 - 25/4*k**4 + 0*k + 0*k**2 + 32. What is the third derivative of c(q) wrt q?
-150
Let z(d) be the first derivative of 83*d**6/6 - 165*d**3 + 415. What is the third derivative of z(n) wrt n?
4980*n**2
Let q(t) = 31*t**3 + 28*t. Let s be 2*((3/(-2) - -3) + -1). Let b(d) = d**3 + d. Let p(v) = s*q(v) - 2*b(v). What is the second derivative of p(i) wrt i?
174*i
Differentiate -2 - 422*c**4 + 4 + 4 + 22*c**4 - 338*c**4 wrt c.
-2952*c**3
Let m = -283 - -289. Let n(i) be the third derivative of -3*i**2 + 0 + 0*i**5 - 1/24*i**m + 0*i + 0*i**3 + 1/24*i**4. Find the second derivative of n(b) wrt b.
-30*b
Let n(f) = -f**6 - f. Let g(c) = -309*c**6 + 154*c**2 + c. Let z(w) = g(w) + n(w). Find the third derivative of z(s) wrt s.
-37200*s**3
Let w(l) be the third derivative of 85*l**9/504 + 11*l**5/15 - 4*l**2 - 5. Find the third derivative of w(r) wrt r.
10200*r**3
Find the third derivative of 769*l - 769*l - 1 + 348*l**2 - 93*l**3 - 64*l**3 wrt l.
-942
Let g = 2539/1527 - -2/509. Let q(i) be the first derivative of 0*i**4 - g*i**3 + 0*i**5 - 5 + 0*i - 1/2*i**6 + 0*i**2. Find the third derivative of q(v) wrt v.
-180*v**2
Suppose 4*k - 1 - 3 = 2*g, -25 = -3*k - 4*g. Suppose -4*i + 12 = -i. Differentiate -i*t**2 + 13 + k*t**2 - 4*t**2 with respect to t.
-10*t
Let c(g) be the third derivative of -13*g**8/112 + g**5/5 + g**3/2 + 14*g**2. What is the third derivative of c(f) wrt f?
-2340*f**2
Suppose 9 = -w + 4*u, -5*w - u + 18 = -0. Suppose 2*x + 2*x = -3*h + 20, -w*h + 14 = x. Differentiate 0*s**2 - 1 - 5*s**2 + s**x wrt s.
-8*s
Let n(o) be the first derivative of -7*o**4/4 + o**3/3 - 128*o + 107. Differentiate n(k) with respect to k.
-21*k**2 + 2*k
Suppose -4*p + 23 = -1. Suppose 8*q - 2 = p*q. Let j(y) = y + 1. Let o(b) = -8*b + 1. Let f(t) = q*o(t) + 4*j(t). What is the derivative of f(m) wrt m?
-4
What is the third derivative of 11 - 190*b**6 + 1 - 6838*b**2 + 6836*b**2 wrt b?
-22800*b**3
Let i be -1 + 4/1 - (-2 - 43). What is the second derivative of -2*b - 2*b + i*b**4 - 52*b**4 wrt b?
-48*b**2
Let r(n) = -n + 3. Let c(u) = -5 + 2 + 3*u - 5. Let m(a) = -9*a - 70. Let j be m(-8). Let t(h) = j*c(h) + 7*r(h). What is the first derivative of t(z) wrt z?
-1
Let q(z) be the second derivative of -2*z**6/15 + 5*z**4/12 + 11*z**2 - 113*z. Differentiate q(f) with respect to f.
-16*f**3 + 10*f
Suppose -815 = -4*p - 183. Find the third derivative of -7*f**3 - p*f + 158*f - 37*f**2 wrt f.
-42
Let r(j) be the first derivative of 248*j**3/3 - 101*j - 224. What is the derivative of r(q) wrt q?
496*q
Let h(l) be the first derivative of -63*l**4/2 + l**3/3 - 204*l**2 - 131. Find the second derivative of h(b) wrt b.
-756*b + 2
Differentiate 60 + 26*c**3 - 41*c**4 - 26*c**3 + 13*c**2 + 44*c**4 wrt c.
12*c**3 + 26*c
Let q(k) be the second derivative of k**5/2 - 133*k**2/2 - 83*k. What is the first derivative of q(a) wrt a?
30*a**2
Suppose 25*d - 32*d = -28. What is the first derivative of -8*j**4 + j**4 - d - 19 - 11*j**4 wrt j?
-72*j**3
Suppose -2*m + s - 16 = -4*m, -4*m = -3*s - 52. Let r = m + -5. What is the second derivative of -6*b**2 + b**r - 4*b + 8*b**2 - 2*b**2 wrt b?
20*b**3
Suppose -c - 15 = -18. Differentiate -3*h - 58 + c*h + 100 - 23*h**3 with respect to h.
-69*h**2
Find the third derivative of 132*v**4 + 27*v**4 - 37*v**4 - 1333*v + 1270*v - 2*v**2 wrt v.
2928*v
Let p = 15 - 13. Let b(a) = 25*a**3 - 50*a + 2. Let i(z) = 49*z**3 - 100*z + 5. Let l(o) = p*i(o) - 5*b(o). What is the second derivative of l(s) wrt s?
-162*s
Suppose -4*y = 4*q - 16, 5*y + q + 0*q - 20 = 0. Differentiate -2*r**y + 6*r**4 - 8 - 12*r**4 with respect to r.
-32*r**3
What is the second derivative of -4646*u - 56*u**3 + u**5 + 4623*u + 0*u**5 + 2*u**5 wrt u?
60*u**3 - 336*u
Differentiate -2*o**2 + 3*o**2 - 56*o + 2*o**2 - 66 + 43*o wrt o.
6*o - 13
Let v(b) be the first derivative of 453*b**4/4 - 42*b**3 - 336. Find the third derivative of v(h) wrt h.
2718
Let l(c) = c**3 + 9*c**2 + c + 12. Let b be l(-9). What is the second derivative of 6*k + 7*k**b + 8*k + k wrt k?
42*k
Let u(r) be the first derivative of r**2/2 + 10*r - 2. Let m be u(-8). What is the third derivative of -l**6 + 2*l**2 + m*l**2 + 2*l**6 wrt l?
120*l**3
Let u(n) be the third derivative of 295*n**4/24 - 28*n**3 - 2*n**2 - 354*n. What is the first derivative of u(f) wrt f?
295
What is the derivative of -73 + 244*z**4 + 237*z**4 - 477*z**4 wrt z?
16*z**3
Differentiate 8 - 15*f**3 - 665*f + 2*f**2 + 665*f with respect to f.
-45*f**2 + 4*f
Let y(b) be the second derivative of 17*b**4/6 - b**3/3 + 65*b**2/2 + 3*b - 1. Find the second derivative of y(c) wrt c.
68
Let u(d) be the second derivative of -5*d**4/3 + 5*d**3/2 - 17*d. Let s(h) = -2*h**2. Let c(f) = -6*s(f) + 2*u(f). Find the second derivative of c(j) wrt j.
-56
Let u = -3/164 - -85/164. Let a(c) be the first derivative of -1/2*c**2 - 4 + 0*c**3 + u*c**4 + 0*c. Find the second derivative of a(d) wrt d.
12*d
Let h(o) = 166*o**3 + 59*o**2 - 2*o + 6. Let d(a) = 167*a**3 + 57*a**2 - 3*a + 9. Let r(f) = -2*d(f) + 3*h(f). What is the third derivative of r(x) wrt x?
984
Let y(x) be the first derivative of 23 + 0*x**4 + 0*x**5 + 26/3*x**3 + 0*x**2 + 0*x + 23/6*x**6. What is the third derivative of y(i) wrt i?
1380*i**2
Find the third derivative of -210*m**4 - 104*m**4 - 3*m**2 - 43*m - 121*m**4 wrt m.
-10440*m
Let a(w) be the third derivative of 371*w**4/24 + 7*w**3 + 207*w**2 - 1. What is the first derivative of a(m) wrt m?
371
Let u(a) be the first derivative of -2*a**6/15 - 3*a**2/2 - 20*a - 30. Let j(w) be the first derivative of u(w). Find the first 