8. Let b(t) = -291*t**4 - 9*t**3 - t**2 - 479. Let r(d) = -7*b(d) - 3*i(d). Differentiate r(h) wrt h.
1176*h**3 - 4*h
Let w(b) = 7 - 8 + 0 + b. Let d(g) = -2 + 4 - 1. Let x(n) = -5*d(n) - w(n). Differentiate x(m) with respect to m.
-1
Let u(p) be the first derivative of -5*p**7/7 - p**4/4 - 27*p**3 + 83. Find the third derivative of u(y) wrt y.
-600*y**3 - 6
Suppose -3*k + 6*k = 9. Differentiate -10*t**k + 8*t**3 + 9*t**3 + 23 - 69 with respect to t.
21*t**2
Let j(n) be the second derivative of n**7/15 + 23*n**3/6 + n**2 + n. Let m(o) be the first derivative of j(o). Differentiate m(c) with respect to c.
56*c**3
Let o(t) = 6*t + 14. Let x be o(-2). Find the second derivative of 10*f**x - 2*f + 26*f + 4*f**2 - 16*f**2 wrt f.
-4
Let z(i) be the third derivative of -i**7/210 - 5*i**5/12 + 49*i**3/6 - 7*i**2. What is the first derivative of z(w) wrt w?
-4*w**3 - 50*w
Find the first derivative of -46 - 14*q - 44 + 11*q - q**3 + 5*q**3 wrt q.
12*q**2 - 3
Let i(h) = h**2 - 8*h + 8. Let y be i(7). Let b be (1/y)/(1/2). Differentiate 2 - 1 - 3*c**b - 1 + 9 wrt c.
-6*c
Let j = 8 + -5. Suppose j*v = x + 4, 2*x - 1 = 5*v - 7. Differentiate 4*r + 1 - v*r - r - 4*r with respect to r.
-3
Let l(n) = n + 7. Let w be l(-8). Let y be ((-6)/9 - w)*6. Differentiate -5 + 3 - 9*z**2 - 4*z**y + 3*z**2 wrt z.
-20*z
Let p(b) = b**4 + 10. Let y = -19 + 12. Let i(t) = 64*t**4 + 9 - 30 - 34*t**4 - 33*t**4. Let l(j) = y*p(j) - 3*i(j). What is the derivative of l(x) wrt x?
8*x**3
Let s(o) = 2*o**4 + 5*o**3 + 5*o - 10. Let j be 22/(-33)*(-9)/2. Let h(t) = -t**4 - 3*t**3 - 3*t + 5. Let q(n) = j*s(n) + 5*h(n). Differentiate q(z) wrt z.
4*z**3
Let i(f) be the first derivative of 13*f**8/840 + 11*f**6/180 - f**3/3 + 1. Let l(r) be the third derivative of i(r). Find the third derivative of l(d) wrt d.
624*d
Let c(i) be the second derivative of i**6/15 + 23*i**5/10 - 25*i**4/2 + i + 51. What is the third derivative of c(t) wrt t?
48*t + 276
Let k(m) be the third derivative of 29*m**8/84 - 31*m**5/30 + 107*m**2. What is the third derivative of k(p) wrt p?
6960*p**2
Let m = -1196 - -1201. Let r(w) be the third derivative of 1/3*w**3 + 0 - 11/60*w**m + 0*w**4 + 0*w - 13*w**2. Differentiate r(t) wrt t.
-22*t
Suppose 2*p - p - 26 = 0. Let q be (-12)/(-42) - p/(-7). Find the second derivative of m + 0*m**4 - 3*m**q - m**4 wrt m.
-48*m**2
Find the third derivative of 37*w**2 + 19*w**3 - 16*w**3 + 4*w**4 + 5*w**4 + 30*w**4 - 242*w**2 wrt w.
936*w + 18
Let z(s) be the first derivative of -s**3/6 + 3*s**2/2 - 5*s + 10. Let w(c) be the first derivative of z(c). Differentiate w(d) wrt d.
-1
Let w be 4/8*0/2. Suppose s = -2, -3*s = 4*h - w*s - 2. Differentiate 5 + l**h - 2 + 0 + 0*l**2 wrt l.
2*l
What is the first derivative of 67*p + 878 - 276*p - 772 wrt p?
-209
Let z(k) be the third derivative of k**9/7560 - k**6/180 + 11*k**5/30 + 21*k**2. Let b(m) be the third derivative of z(m). What is the derivative of b(t) wrt t?
24*t**2
Let d(h) be the second derivative of 19/20*h**5 + 0*h**2 + 15*h - 3/2*h**4 + 0 + 0*h**3. What is the third derivative of d(l) wrt l?
114
Find the second derivative of 3*y**3 + y**3 - 1 - 17*y**5 - 12*y - 15*y**5 + 27*y**5 wrt y.
-100*y**3 + 24*y
Let n = 4 + 0. Find the second derivative of -15*b + 0*b**n + 3*b**4 - 3*b**4 + 3*b**4 wrt b.
36*b**2
What is the second derivative of 14*d**2 + 0*d**4 + 161*d - 14*d**2 + 6*d**4 + 10*d**3 - 429*d wrt d?
72*d**2 + 60*d
Suppose -k + 4 = 2*r, 5*k = 3*r + 2*k + 12. Suppose r = 3*m - 11 - 1. Find the third derivative of 11*u**2 + 3*u**4 + 2*u**2 - 6*u**2 + 7*u**m wrt u.
240*u
Let p(o) = 224*o**3 - 6*o**2 + 4*o - 131. Let i(h) = -448*h**3 + 10*h**2 - 7*h + 263. Let b(l) = -3*i(l) - 5*p(l). What is the second derivative of b(n) wrt n?
1344*n
Let u(j) be the first derivative of 0*j**5 + 11 + 0*j - 16/3*j**3 + 0*j**4 + 0*j**2 - 17/6*j**6. What is the third derivative of u(k) wrt k?
-1020*k**2
Let f(q) be the third derivative of -29*q**7/105 - 17*q**5/10 - 43*q**2. What is the third derivative of f(k) wrt k?
-1392*k
Let i(r) = 5*r**2 + 9. Let c(t) = -11*t**2 - 18. Suppose -5*q + 2*d = 5*d - 58, -9 = -q + 2*d. Let s(o) = q*i(o) + 6*c(o). Differentiate s(b) with respect to b.
-22*b
Suppose -4*m - k - 2*k + 4 = 0, 0 = 3*m + 3*k. Find the third derivative of 11*j**2 + 6*j**4 - j**4 - 3*j**m - 3*j**2 wrt j.
48*j
Suppose -5*i + 1 + 34 = -3*y, 0 = 5*y. Suppose -3*p = -i*p + 20. Find the third derivative of -7*o**3 - 2*o + 2*o + 12*o**3 + p*o**2 wrt o.
30
Let j(f) = -230*f**3 - 6*f**2 + 6*f - 85. Let i(k) = 2*k**3 + k**2 - k. Let o(q) = -6*i(q) - j(q). Find the first derivative of o(l) wrt l.
654*l**2
Let t(h) be the first derivative of 0*h + 0*h**3 - 6 - 1/2*h**6 + 2*h**2 + 0*h**5 + 0*h**4. What is the second derivative of t(m) wrt m?
-60*m**3
Let m be (36/42)/(12/42). Let c(y) be the first derivative of -1/2*y**2 - 1/3*y**m + 0*y + 5. What is the second derivative of c(g) wrt g?
-2
Let u(o) be the first derivative of 184*o**3/3 + 3*o + 511. What is the first derivative of u(n) wrt n?
368*n
Find the second derivative of 18*j - 35*j**5 - 19*j**5 + 11*j**5 wrt j.
-860*j**3
Let h = -32 + 35. Let f(o) be the first derivative of o**h - o + 9 + 3*o + o**3 - 3. Differentiate f(p) with respect to p.
12*p
Let q(u) = u + 1. Let g = 41 - 40. Let d(n) = -14*n**2 - 5*n + 1. Let o(t) = g*q(t) - d(t). Find the second derivative of o(c) wrt c.
28
What is the second derivative of -163*i**4 + 7*i + 1 - 7*i**2 + i**2 + 6*i**2 - 2 wrt i?
-1956*i**2
Let y(i) be the second derivative of -15*i + 0*i**2 + 10/3*i**3 + 0 - 5/12*i**4. Find the second derivative of y(x) wrt x.
-10
Let t(z) = -2*z - 16. Let v be t(-9). Let d(k) be the first derivative of 0*k**3 - 7 - 2*k + 3/2*k**4 + 0*k**v. What is the first derivative of d(r) wrt r?
18*r**2
Let c(b) be the first derivative of 0*b**2 - 10/3*b**3 - 2 + 12*b. What is the first derivative of c(y) wrt y?
-20*y
Let h = 20 - -1. Suppose -h*s - 2 = -22*s. What is the third derivative of -3*o**s - 11*o**5 + 0*o + 0*o - 8*o**2 wrt o?
-660*o**2
Let m(l) = -2*l**2 + 16*l + 372. Let s(z) = -8*z - 187. Let a(v) = -2*m(v) - 5*s(v). What is the derivative of a(r) wrt r?
8*r + 8
Let j(v) be the third derivative of 11/3*v**3 - 7/60*v**6 + 0*v + 0 + 0*v**5 - 29*v**2 + 0*v**4. What is the first derivative of j(b) wrt b?
-42*b**2
Let t(d) = 55*d**3 - 10 + 57*d**3 - 104*d**3. Let z(w) = 1. Let n(b) = -t(b) - 3*z(b). Find the first derivative of n(s) wrt s.
-24*s**2
Let o(t) be the first derivative of -t**2/2 + 3. Let u(d) = 56*d + 7. Let c(r) = 35*o(r) + u(r). What is the derivative of c(p) wrt p?
21
What is the third derivative of -18*w**5 + 21*w**2 + 84*w**2 + 49*w**2 wrt w?
-1080*w**2
Let g(y) be the first derivative of 4*y**3/3 - 69*y**2/2 + 2*y + 178. What is the second derivative of g(d) wrt d?
8
Let n(x) be the second derivative of x**8/1680 + 13*x**5/120 + x**4/4 + 11*x. Let o(j) be the third derivative of n(j). Differentiate o(s) with respect to s.
12*s**2
Let v(g) = -81*g + 16. Let b(j) = 80*j - 15. Let n(h) = -4*b(h) - 3*v(h). Differentiate n(x) with respect to x.
-77
Suppose -11 = 3*d + 4*r, -d = 2*d + r - 4. Suppose -44*n + 30*n + 98 = 0. What is the derivative of -i + n - 5*i**3 + i + d*i**3 wrt i?
-6*i**2
Let w(x) = -3*x - 65. Let r be w(-24). Suppose 2*z - 7 - 11 = 0. Differentiate -c + 5*c**4 - z*c**4 + r + c with respect to c.
-16*c**3
Let n(m) be the third derivative of 13*m**9/504 + m**7/105 - m**5/30 + 47*m**3/6 - m**2 - 25. Find the third derivative of n(o) wrt o.
1560*o**3 + 48*o
What is the third derivative of -19*z + 6*z**5 + 3*z**2 - 9*z**3 - 16*z - 112*z**4 + 112*z**4 wrt z?
360*z**2 - 54
Find the first derivative of -12912 + 80*q**3 + 12881 + 87*q**3 wrt q.
501*q**2
Let o(i) be the second derivative of -i**5/10 + 14*i**3/3 - 33*i + 1. Find the second derivative of o(d) wrt d.
-12*d
Suppose 16 = 4*w - 2*w. What is the second derivative of 6*s**4 + 0*s**4 + 2*s + w*s + 9*s**4 wrt s?
180*s**2
Let d(b) = 11*b - 3. Suppose -33 = -8*z + 15. Let f(c) = -10*c + 6 - 1 - 2. Let o(r) = z*f(r) + 5*d(r). Differentiate o(a) with respect to a.
-5
Let g = 54 - 37. Let x = 21 - g. Find the second derivative of 0*r**4 + 2*r - 6*r**x - 3*r wrt r.
-72*r**2
Let m(s) = 38*s - 83. Let r(k) = 39*k - 81. Let q(t) = -4*m(t) + 5*r(t).