u**3 + 5*u**3 - u**3 + 0 wrt u.
21*u**2
Let n(q) = -18*q + 6. Let g(j) be the first derivative of -j**2/2 + 14. Let c(h) = 120*g(h) - 5*n(h). Find the first derivative of c(t) wrt t.
-30
Let v(t) be the third derivative of t**7/105 + 23*t**6/8 + t**5/60 + 29*t**4/6 - 102*t**2 - 3*t. Find the third derivative of v(h) wrt h.
48*h + 2070
Let n(i) = i + 10. Let j(g) = -456*g + 224. Let w(z) = -j(z) + 2*n(z). What is the first derivative of w(h) wrt h?
458
Let l be ((-2)/6)/((-8)/3384). Suppose 6*i = 3*i + l. Find the second derivative of -43*r**5 + i*r**5 + r - 3*r wrt r.
80*r**3
Let s(u) = 122*u**4 + 6*u**3 - 2*u**2 + 12. Let w(n) = 123*n**4 + 5*n**3 - 2*n**2 + 13. Let k(a) = 5*s(a) - 6*w(a). Find the third derivative of k(f) wrt f.
-3072*f
Let z(j) be the first derivative of 0*j**3 + 17/2*j**2 + 0*j - 3/2*j**4 + 18. What is the second derivative of z(w) wrt w?
-36*w
Let v(t) = t**3 - 9*t**2 - 22*t + 4. Let i be v(11). What is the third derivative of 4*h**2 - 36 - 15*h**i + 36 wrt h?
-360*h
Let b be -4*(-3)/(-6) + (-3 - -9). What is the third derivative of 24*y**b - 29*y**6 - 9*y**2 - 24*y**4 wrt y?
-3480*y**3
What is the third derivative of -364*c**2 - 1 - 2*c + 19*c**5 - 6*c**6 + 0 - 3*c**5 + 1 wrt c?
-720*c**3 + 960*c**2
Let r(m) = -135*m**2 + 5*m + 29. Let d(l) = -270*l**2 + 9*l + 58. Let x(f) = -6*d(f) + 11*r(f). Find the second derivative of x(k) wrt k.
270
Let v = -8 + 10. Find the first derivative of -v - 720*n + 733*n + 6 wrt n.
13
Let g be 3/(-3) - (-4)/(16/108). Differentiate -56*i**2 + g - 63*i**2 + 108*i**2 with respect to i.
-22*i
Let h(z) be the second derivative of 0 - 4*z + 0*z**4 + 1/3*z**6 - 2/3*z**3 + 0*z**2 + 0*z**5. Find the second derivative of h(t) wrt t.
120*t**2
Let g(w) = -3*w - 16. Let n be g(-6). Find the second derivative of 19*s - 233 + 233 - 7*s**n wrt s.
-14
What is the first derivative of -19 + h**3 - 4*h**3 + 6*h**4 - 49 - 7*h**3 + 2*h**3 wrt h?
24*h**3 - 24*h**2
What is the third derivative of -2566 - p + p**5 + 2566 - 49*p**2 - 5*p**4 wrt p?
60*p**2 - 120*p
Let a(p) = 6*p - 2. Let n(d) be the third derivative of 13*d**4/24 - 2*d**3/3 - 15*d**2. Let r(v) = -7*a(v) + 3*n(v). Find the first derivative of r(b) wrt b.
-3
Let a(c) = -c**2 + 7*c - 8. Let p be a(3). What is the second derivative of 12*l**3 + 19*l + 7*l**3 - 2*l**3 - p*l**3 wrt l?
78*l
Let n(g) be the third derivative of -9*g**8/56 + 17*g**4/4 - 50*g**2. What is the second derivative of n(d) wrt d?
-1080*d**3
What is the second derivative of -199*x + 4*x**2 - 193*x + 97*x + 133*x - 7*x**4 - 184*x wrt x?
-84*x**2 + 8
Let o(t) = -14*t + 15. Let l(b) = -7 - 6*b + 60*b - 13*b - 36. Let n(a) = -4*l(a) - 11*o(a). What is the derivative of n(h) wrt h?
-10
Suppose -3*g = 2*i - 5, 3*i = 6*g - 2*g - 18. Let c = 6 + -4. Find the third derivative of -c*y**6 + g*y**6 - 6*y**2 + 5*y**6 wrt y.
720*y**3
Let l(y) be the third derivative of 0*y - 5/24*y**6 + 0*y**3 + 0*y**4 + 0 - 1/5*y**5 + 20*y**2. What is the third derivative of l(t) wrt t?
-150
What is the third derivative of 341*g**4 + g - 8*g - g + g + 14*g**2 wrt g?
8184*g
Let h(p) = -2*p + 2. Let r(y) = -352*y - 492. Let a(t) = 3*h(t) - r(t). Differentiate a(f) with respect to f.
346
Suppose -7 = -a - 0*a. Let q = a + -4. What is the third derivative of 9*d**3 + 5*d**3 - 9*d**q - 4*d**2 wrt d?
30
Let x(b) = -1869*b**2 + 5159*b + 21. Let f(l) = -187*l**2 + 516*l + 2. Let y(c) = -21*f(c) + 2*x(c). Find the second derivative of y(n) wrt n.
378
Let r(c) = 2*c**2 + 13*c - 5. Let k be r(-7). Find the third derivative of -25*w**6 - w**4 - 85*w**2 + 91*w**k + w**4 wrt w.
-3000*w**3
Let m(g) be the first derivative of -4*g**3 + g**2 - 131*g - 165. Differentiate m(w) wrt w.
-24*w + 2
Let v(b) be the third derivative of -1/2*b**4 + 0*b**3 - 1/84*b**8 + 0 + 9*b**2 + 0*b**7 + 0*b**5 + 0*b**6 + 0*b. What is the second derivative of v(f) wrt f?
-80*f**3
Let u(s) = -44*s**3 - 21*s**2 - 6*s + 19. Let f(x) = 132*x**3 + 60*x**2 + 17*x - 57. Let n(i) = 6*f(i) + 17*u(i). Find the third derivative of n(w) wrt w.
264
Suppose 4*t + 14 = d, -4*t = 3*d - 3*t - 16. Suppose d*j = 29 + 43. Find the second derivative of 4*u**2 + 21*u - j*u - 20*u wrt u.
8
Let a be 5/(4 - -6)*8. What is the third derivative of 4*m**4 - 64*m**4 + 18*m**a + 45*m**2 wrt m?
-1008*m
Let j(y) be the second derivative of -17*y**3/6 + 30*y**2 - 12*y + 2. Find the first derivative of j(r) wrt r.
-17
Let u(v) = v**2 + 4*v + 46. Let r be u(0). What is the third derivative of -9*t**6 + t**2 - 28*t**2 + r*t**6 wrt t?
4440*t**3
Suppose -3*z + 0*z - 3*s = 9, 5*z = -3*s - 5. What is the first derivative of 0*j**2 + 15*j**z + 12 - 6*j**2 wrt j?
18*j
What is the second derivative of -10*s**5 - 90*s + 141*s + 69*s**5 + 27*s**5 wrt s?
1720*s**3
Let l(r) be the first derivative of 262*r**6/3 + 95*r**2 - 526. What is the second derivative of l(i) wrt i?
10480*i**3
Let k = 4 + -1. Suppose 0*l + l = k. Differentiate -3 + 3*w**2 + 3*w**2 - 3 - l*w**2 wrt w.
6*w
Let p(h) be the second derivative of 1/2*h**3 - 45*h + 0 + 3/4*h**5 + 0*h**2 + 0*h**4. Find the second derivative of p(u) wrt u.
90*u
Differentiate 5*b**3 + 34 - 20 - 112*b**3 + 36 wrt b.
-321*b**2
Find the third derivative of -20*i + 22*i**4 + 4*i**3 + 10405*i**2 - 5207*i**2 - 5199*i**2 wrt i.
528*i + 24
Let t(c) be the second derivative of -53*c**3/6 + 15*c**2/2 + 75*c. Differentiate t(s) wrt s.
-53
Let l(b) be the first derivative of -22*b**3 + b**2 - 47*b - 4. Find the second derivative of l(u) wrt u.
-132
Let x = 13 - 14. Let u be (-18)/27*6*x. Find the second derivative of -4*c**5 + u*c**3 + 4*c + 14*c**5 - 4*c**3 wrt c.
200*c**3
Let p(s) = 50*s + 24. Let h(v) = 50*v + 23. Let j(a) = -3*h(a) + 4*p(a). Differentiate j(m) wrt m.
50
Let p be 118/4 + 4*4/32. Find the first derivative of 7*m**2 - 8*m**2 + p*m**2 + 27 wrt m.
58*m
Find the third derivative of -536*y**2 - 440*y**3 - 103*y + 68*y + 35*y wrt y.
-2640
Let a(f) = 6*f**4 - 330*f**3 + 4888. Let c(q) = q**4 - 66*q**3 + 978. Let t(d) = -2*a(d) + 11*c(d). What is the derivative of t(v) wrt v?
-4*v**3 - 198*v**2
Let k(u) = 2908*u - 202. Let w(j) = -727*j + 52. Let n(m) = -2*k(m) - 9*w(m). Differentiate n(i) with respect to i.
727
Let r(i) = 12*i**4 + 3*i**2 + 119*i. Let n(s) = 22*s**4 - s**3 + 7*s**2 + 239*s. Let k(h) = -3*n(h) + 7*r(h). What is the second derivative of k(c) wrt c?
216*c**2 + 18*c
Suppose 0*u + 7*u = -2*u. Let n(r) be the second derivative of 0 + 0*r**2 + 5*r + u*r**3 - 1/5*r**5 + 1/12*r**4. What is the third derivative of n(o) wrt o?
-24
Let p be -32 + -6 + 1 + 1. Let b be (-1242)/p + (-1)/2. Find the first derivative of 3 + b*s**4 + 2 - 38*s**4 wrt s.
-16*s**3
Find the second derivative of 19056 + 17*s - 19055 - 5*s + s**5 - 28*s**3 wrt s.
20*s**3 - 168*s
Let f(w) be the second derivative of 46*w**6/15 + 65*w**3/2 + 98*w. What is the second derivative of f(k) wrt k?
1104*k**2
Differentiate -4200*w**2 + 2043*w**2 + 1962*w**2 + 116 wrt w.
-390*w
Suppose 0*g + 46 = 2*g. Let v = g - 21. Find the third derivative of o**2 + 3*o**2 - v*o**4 + o**2 wrt o.
-48*o
Find the first derivative of 12*h**2 - 172 + 175 + 10*h**2 wrt h.
44*h
Let w(c) be the first derivative of 1 - 1/30*c**5 + 0*c + 0*c**4 - 2/3*c**3 + 2*c**2. Let v(j) be the second derivative of w(j). Differentiate v(r) wrt r.
-4*r
Let a(h) = -14*h**2 - 14*h - 79. Let d(r) = -9*r**2 - 9*r - 52. Let x(k) = 5*a(k) - 8*d(k). Find the second derivative of x(f) wrt f.
4
Let t(l) = l**4 + l**3 - 2*l**2 + 1. Let w(n) = -174*n**4 + 6*n**3 - 12*n**2 + 258*n + 6. Let g(z) = 6*t(z) - w(z). What is the second derivative of g(m) wrt m?
2160*m**2
Let i(s) be the third derivative of 0 + 0*s**3 + 0*s + 0*s**6 + 1/20*s**5 + 0*s**7 + 0*s**4 - 24*s**2 - 19/336*s**8. Find the third derivative of i(n) wrt n.
-1140*n**2
Let x(u) = 2*u**3 + 21*u**2 - 8*u - 18. Let w be x(-10). Differentiate 121*t + 3 - 22 - w*t wrt t.
-41
Let m(i) = 2*i + 9*i + 6*i + 19*i**2 - 4*i + 26. Let t(v) = -10*v**2 - 6*v - 13. Let q(y) = -6*m(y) - 13*t(y). Find the first derivative of q(x) wrt x.
32*x
Let z(s) = -60*s**2 - 45*s - 6. Let o(i) = -181*i**2 - 138*i - 17. Let u(d) = -6*o(d) + 17*z(d). Find the second derivative of u(n) wrt n.
132
What is the first derivative of 22 - 45*r + 4*r**3 + 85*r - 38*r wrt r?
12*r**2 + 2
Let b(o) = -13*o + 15. Su