(t) wrt t.
40*t**3
Let y be (-15)/(-35) + (-36)/(-14). Suppose y = k - m, 3*k + k - 5*m - 10 = 0. Find the third derivative of 10*x**2 + k*x**2 - 15*x**2 - 3*x**5 + 6*x**2 wrt x.
-180*x**2
Let c(i) be the third derivative of i**9/72 + i**6/60 + 23*i**5/5 - 13*i**2. Find the third derivative of c(f) wrt f.
840*f**3 + 12
Let x(t) be the first derivative of -9/2*t**4 + 2 + 0*t + 5*t**2 + 0*t**3. What is the second derivative of x(h) wrt h?
-108*h
Suppose 6 = -4*c + b - 5, 0 = 2*c - b + 7. Let w be (-7 + 93)*(-1)/c. What is the derivative of w + n**2 - 6*n**4 - n**2 - 34 wrt n?
-24*n**3
Let b(x) be the first derivative of -123*x**4/4 - x**2 + 76*x + 166. What is the derivative of b(f) wrt f?
-369*f**2 - 2
Differentiate -30*m**3 + 14*m + 12*m**3 - 514 + 5*m**3 + 7*m**3 with respect to m.
-18*m**2 + 14
Let j(b) be the third derivative of 73*b**6/40 + 2*b**5/15 - 119*b**2. What is the third derivative of j(u) wrt u?
1314
Let p(h) = 107*h**4 + 5*h**3 + 47. Let r(i) = -54*i**4 - 3*i**3 - 23. Let z(c) = 3*p(c) + 5*r(c). Find the first derivative of z(y) wrt y.
204*y**3
Suppose 3*a - 16 - 15 = -4*c, a = 3*c - 7. Let p = 0 + 4. What is the second derivative of -7*z**4 - p*z + 7*z**4 + 2*z**c wrt z?
24*z**2
Let l = 10 + -8. Suppose -l*w = -3*w. What is the second derivative of 11*n**5 - 3*n**5 - 2*n + w*n**2 + 0*n**2 wrt n?
160*n**3
Let d be 1 + (0 - (-2 + -1)). Differentiate -7 - d*k**2 + 0*k**2 + 15*k**2 with respect to k.
22*k
Suppose -n = 4*n - 4*a - 85, 5*a = -4*n + 27. Let v = 16 - n. Find the second derivative of -2*t - t**3 - v*t**3 + 0*t**3 + 2*t**3 wrt t.
-12*t
Let g be 2 + 5 + (-12)/(-4). Let t(r) be the second derivative of -3/20*r**5 - 1/3*r**4 - g*r + 0*r**2 + 0 + 0*r**3. What is the third derivative of t(a) wrt a?
-18
Let n(z) be the first derivative of 31*z**3 - z**7 - 31 - 2*z**4 + 2*z**4 - 34*z**3. Find the third derivative of n(b) wrt b.
-840*b**3
Suppose 5*v - v = 20. Let s(l) = 15*l**2 - 28*l. Let r(j) = 16*j**2 - 27*j. Let b(i) = v*r(i) - 4*s(i). What is the second derivative of b(f) wrt f?
40
Let k(i) = -19*i**4 + 56. Suppose 4*y = 5*l - 53, 3*y - 4*l + 34 = y. Let w(r) = 6*r**4 - 19. Let s(h) = y*w(h) - 2*k(h). Differentiate s(a) wrt a.
-16*a**3
Let h be (-14)/(-4) - (-1)/(-2). Let a be (10/(-6))/(10/(-30)). Find the first derivative of 0*r**h - a*r**3 + 0 + 5 wrt r.
-15*r**2
Suppose -13*a = -11*a - 24. What is the second derivative of -11*b**3 - 35*b**4 + 2*b - b**3 + a*b**3 wrt b?
-420*b**2
Let o(j) be the first derivative of j**6/10 - j**3/2 - 13*j - 9. Let c(x) be the first derivative of o(x). What is the second derivative of c(a) wrt a?
36*a**2
Let u(f) be the second derivative of f**7/42 + 17*f**4/12 - 7*f**3 - f**2/2 + 3*f - 5. What is the second derivative of u(z) wrt z?
20*z**3 + 34
Let p(m) be the third derivative of -23*m**8/84 + m**6/40 - 283*m**4/24 - 337*m**2. Find the second derivative of p(g) wrt g.
-1840*g**3 + 18*g
What is the second derivative of -152*w**3 + 28*w**2 + 31*w + 21 - 28*w**2 - 30*w wrt w?
-912*w
Let l(c) be the first derivative of 0*c**5 - 1/3*c**6 + 4*c**3 + 0*c**4 + 0*c + 0*c**2 + 3. Find the third derivative of l(k) wrt k.
-120*k**2
Let h(y) = y**4 + 8*y**3 + 2*y**2 + 4*y - 100. Let j(a) = -5*a**4 - 42*a**3 - 11*a**2 - 22*a + 499. Let r(o) = -11*h(o) - 2*j(o). Differentiate r(b) wrt b.
-4*b**3 - 12*b**2
Let y = 73 + -62. Differentiate -y + 7*q**3 - 81*q**2 + 81*q**2 wrt q.
21*q**2
Suppose 2*j = 4*n + 10 + 6, -3 = -j - 3*n. Differentiate j + 25 - 5 + 14*c with respect to c.
14
Let m(t) be the first derivative of -8/5*t**5 + 0*t**4 + 0*t**2 - 17 + 4*t**3 + 0*t. Find the third derivative of m(j) wrt j.
-192*j
Let k(r) = 223*r**3 - 10*r**2 - 1389*r. Let i(p) = -149*p**3 + 7*p**2 + 926*p. Let d(t) = -7*i(t) - 5*k(t). Find the second derivative of d(f) wrt f.
-432*f + 2
Let l(w) = 545*w**2 + 85*w + 645. Let o(f) = 2*f - 3*f + 7*f + 39*f**2 + 46. Let c(h) = -6*l(h) + 85*o(h). Differentiate c(m) with respect to m.
90*m
Let a(q) = q**3 - q**2 + q + 1. Let m(w) = 401*w**3 + 11*w**2 - 23*w + 1. Let g(v) = a(v) - m(v). What is the third derivative of g(t) wrt t?
-2400
Let y(t) be the first derivative of 13*t**2 + 7/3*t**3 - 27 + 0*t. Find the second derivative of y(w) wrt w.
14
Let c(u) be the second derivative of u**9/2160 - 23*u**5/120 - u**4 - 20*u. Let o(j) be the third derivative of c(j). Find the first derivative of o(v) wrt v.
28*v**3
Let s(i) be the first derivative of 73*i**4/4 + 81*i + 72. What is the first derivative of s(r) wrt r?
219*r**2
What is the derivative of 55*p**3 + 244 + 130 - 110 wrt p?
165*p**2
Find the third derivative of 80*h**3 - 4*h**2 - 6*h**2 + 6*h + 6*h**2 + 2 - 2 wrt h.
480
Let m(s) be the first derivative of -7*s**5 - 92*s + 120. Find the first derivative of m(t) wrt t.
-140*t**3
Let x be 21/2 - (-20 - -30). Let g(a) be the second derivative of 0*a**3 + 0*a**2 - 5/12*a**4 + x*a**5 + 0 - 6*a. What is the third derivative of g(f) wrt f?
60
Suppose 1 = -2*i + 51. Suppose -3*g = 2*g - i. What is the third derivative of 4*l**g + 4*l**5 - 8*l**2 - 17*l**5 wrt l?
-540*l**2
Let s = 7 - 5. Suppose 0 = s*w - 6 - 10. Find the second derivative of 0*q + 2*q - 3*q**2 - 3*q**2 + w*q**2 wrt q.
4
What is the third derivative of -7*z**2 + 42*z**4 + 20*z**2 + 32*z**2 wrt z?
1008*z
Let t(x) be the first derivative of -7*x**6/180 - x**5/12 - 11*x**3/3 + 6. Let h(s) be the third derivative of t(s). Find the second derivative of h(g) wrt g.
-28
Let v(g) = 2*g**3 - 95*g**2 - 2*g + 16. Let h(p) = -p**3 - p**2 - p. Let z(r) = -4*h(r) - v(r). What is the second derivative of z(c) wrt c?
12*c + 198
Suppose -3*k - 1788 = -4*i + i, -572 = -i - 5*k. Find the second derivative of o - i*o**4 + o + 603*o**4 wrt o.
132*o**2
Let t = -9 + 11. Suppose t*r + 4 = 8. Find the first derivative of 10*q - 10*q - 2 + r*q**3 - 16*q**3 wrt q.
-42*q**2
Let q(w) be the third derivative of 33*w**2 + 0 + 2/3*w**5 + 0*w**3 + 0*w - 5/12*w**4. What is the second derivative of q(i) wrt i?
80
Let v(o) be the first derivative of o**5/6 - o**3 - 17*o**2/2 + 11. Let w(l) be the second derivative of v(l). Differentiate w(p) with respect to p.
20*p
Let t(u) = 16*u**4 - 30*u. Suppose -8*m - 21 = -5*m. Let j(i) = -16*i**4 + 29*i. Let w(f) = m*j(f) - 6*t(f). What is the second derivative of w(g) wrt g?
192*g**2
What is the first derivative of -34*t**3 - 9 - 49*t**3 + 23 wrt t?
-249*t**2
Let f(b) = -b**5 - 5*b**4 + 5*b**2 - 5. Let q(h) = 2*h**4 + 6 - 4*h**2 + 2*h**4 + h - 2. Let i(x) = 4*f(x) + 5*q(x). Find the second derivative of i(m) wrt m.
-80*m**3
What is the second derivative of -37*x - 6*x**5 - x**2 + 2*x**5 + 81*x wrt x?
-80*x**3 - 2
Let p(j) = 2*j**2 + 4*j - 3. Let n(b) = 2*b**2 + b - 2. Let v(r) = 3*n(r) - p(r). What is the first derivative of v(g) wrt g?
8*g - 1
Let n be 498/18 + (-2)/3. What is the second derivative of n*c**2 - 8*c**2 - 13*c - 11*c**2 wrt c?
16
Find the third derivative of -23*z**2 + 284*z**4 - 2 - 84*z**2 + 2*z**2 wrt z.
6816*z
What is the first derivative of 167 + 14*p**2 - p**2 - 337 wrt p?
26*p
Suppose -2*o + 7*o - 15 = 0. Suppose o*u - u = -2, -3*m + 12 = 3*u. What is the second derivative of 3*b**5 + 2*b**m + 4*b + 2*b**5 wrt b?
140*b**3
Let p(o) be the third derivative of 3*o**8/16 - o**5/30 - 25*o**4/24 + 2*o**2 + o. Find the third derivative of p(f) wrt f.
3780*f**2
Let y(d) be the third derivative of 163*d**7/210 - 140*d**3/3 - 180*d**2. Differentiate y(s) wrt s.
652*s**3
Let d(u) = -14*u**4 - 4*u**2 - 4*u - 15. Let s = -44 - -48. Let l(v) = -29*v**4 - 9*v**2 - 9*v - 29. Let i(f) = s*l(f) - 9*d(f). Differentiate i(k) wrt k.
40*k**3
Let q(f) = -13*f**2 + f + 16 + 0*f**3 - 2*f + 5*f**3 - 4*f**3. Let t be q(13). Find the third derivative of -2*s**3 - 3*s**3 - s**2 + 10*s**3 - 6*s**t wrt s.
-6
What is the third derivative of -16*r**4 + 11*r**4 - 7*r**3 - 42 + 6*r**2 + 8*r**3 - 172*r**4 + 40 wrt r?
-4248*r + 6
Let z(k) = 31*k**2 - 4*k + 15. Let w(r) = -61*r**2 + 7*r - 30. Let n(m) = 6*w(m) + 11*z(m). Differentiate n(a) wrt a.
-50*a - 2
Let p = 0 - -1. Suppose 0*l + 2*l = -5*k + 17, -p = -k + 2*l. What is the second derivative of -k*q**4 + q + 8*q**4 + 0*q wrt q?
60*q**2
Suppose -n - 4*h = -15, 2*h = n + h. Find the second derivative of 10*s**3 - 19*s + n*s**3 + 29*s wrt s.
78*s
Suppose -6*p = 1 - 19. L