wrt b.
12528*b
Suppose 16*l + 3*l = 190. Differentiate l - 17 + 9 - 36*t**4 - 35 with respect to t.
-144*t**3
Let a(x) = 3*x**2 + 14*x - 12. Let b be a(-6). Differentiate -z**2 + 4*z**2 - 2*z - b - 4 - 4*z**2 wrt z.
-2*z - 2
Find the first derivative of -4*v**3 + 7*v**3 + 52*v**3 - 72 - 85 - 27 wrt v.
165*v**2
Let l(c) = 688*c**4 + 24*c**3 - 24*c**2 - 232. Let d(p) = -5*p**4 - p**3 + p**2 + 1. Let f(q) = -24*d(q) - l(q). Find the first derivative of f(j) wrt j.
-2272*j**3
Suppose 2*b + 38 = 3*q - 117, 204 = 4*q - 4*b. Let a = q - -12. What is the third derivative of -i**4 - 65 + a + i**2 wrt i?
-24*i
Let w(g) = 348*g**3 - 273*g**2 + 6*g - 12. Let h(j) = -697*j**3 + 546*j**2 - 13*j + 26. Let f(n) = 6*h(n) + 13*w(n). Find the third derivative of f(s) wrt s.
2052
Find the third derivative of 390768*w - 390768*w + 1032*w**3 + 616*w**2 wrt w.
6192
Let h(r) be the first derivative of 71*r**2/2 + 40*r - 48. What is the first derivative of h(p) wrt p?
71
Let p(u) be the third derivative of 19*u**8/168 + 5*u**5/12 - u**3/3 + 56*u**2. What is the third derivative of p(o) wrt o?
2280*o**2
Let o(y) be the first derivative of 3/7*y**7 + 1/2*y**6 + 0*y**5 + 0*y + 0*y**4 + 5 + 41/3*y**3 + 0*y**2. Find the third derivative of o(w) wrt w.
360*w**3 + 180*w**2
Let y be 4 + -5 + (-1 - -7). Suppose -2*u - 4*l + 6 = -0*u, y*u - 15 = -3*l. What is the second derivative of -7*c**4 + 3*c**4 + u*c**4 + 3*c wrt c?
-12*c**2
Suppose 5*r - 3*r = q + 16, -13 = -r + 3*q. Let p be 1*(r + 1 - 0). Find the second derivative of 8 + 4*v**2 + 3*v - p wrt v.
8
What is the second derivative of -2 + 77*k + 3*k**3 + 6*k**3 - 27*k**2 - 2*k**3 + 19*k**2 - 6*k**3 wrt k?
6*k - 16
Let n = 10 + -25/3. Let v(j) be the first derivative of n*j**3 + 0*j**5 + 0*j**2 + 4 + 5/6*j**6 + 0*j**4 + 0*j. What is the third derivative of v(g) wrt g?
300*g**2
Suppose -3*y + 31 - 13 = 0. Let d(c) = -25. Let o(g) = -g**2 - 24. Let q(n) = y*d(n) - 7*o(n). Find the first derivative of q(z) wrt z.
14*z
What is the first derivative of 79*o - 6 + 6 + 23 + 0 wrt o?
79
What is the third derivative of -6*j**2 - 344*j**3 + 804*j**3 - 18 + j**2 wrt j?
2760
Let j be (-12)/(-8)*(-8)/(-6). What is the second derivative of 15*b**j + 2*b - b + 4*b wrt b?
30
Let u(j) be the second derivative of -j**6/15 - j**3 - 2*j**2 + 10*j. Let o(v) be the first derivative of u(v). Find the first derivative of o(k) wrt k.
-24*k**2
Find the third derivative of 296*j**3 - 16*j + 5*j**2 + 28 - 43 + 15 wrt j.
1776
Let u(a) be the first derivative of -a**6/3 - 411*a**5/5 + 14*a**3/3 - 3*a + 378. Find the third derivative of u(q) wrt q.
-120*q**2 - 9864*q
Let s(z) = -288*z - 244. Let n(r) = -287*r - 243. Let o(b) = -4*n(b) + 5*s(b). What is the derivative of o(q) wrt q?
-292
Let b(s) = 122*s**2 + 8*s + 513. Let l(y) = -245*y**2 - 14*y - 1027. Let n(j) = 7*b(j) + 4*l(j). Differentiate n(m) wrt m.
-252*m
Let s(m) be the third derivative of m**7/6 + m**6/40 + m**4/24 + 40*m**3/3 - 40*m**2. Find the second derivative of s(y) wrt y.
420*y**2 + 18*y
Let v(i) be the first derivative of -i**7/70 + 3*i**5/10 + 7*i**3/3 + 4. Let m(y) be the third derivative of v(y). Find the second derivative of m(l) wrt l.
-72*l
Let a(l) be the second derivative of -49*l**8/8 - l**6/30 - l**4/2 - 19*l**3/2 - 28*l - 1. What is the third derivative of a(h) wrt h?
-41160*h**3 - 24*h
Let k(p) = p**3 - 9*p**2 + 5*p + 26. Let d be k(8). Differentiate -67 + 95 - 8*g**d + 15*g**2 wrt g.
14*g
Let n(y) be the first derivative of -287*y**5/5 - 416*y - 481. Differentiate n(b) wrt b.
-1148*b**3
Let t(d) be the first derivative of -49*d**5/5 + 4*d**3 - 2*d - 40. What is the third derivative of t(k) wrt k?
-1176*k
Let c(x) = -45*x**4 - 9*x**3 - x**3 + 21 + 5*x**3. Let p(q) = 23*q**4 + 2*q**3 - 11. Let v(o) = 2*c(o) + 5*p(o). Find the first derivative of v(y) wrt y.
100*y**3
Suppose 6*d = -3*d + 189. Find the first derivative of -2*h**2 + 50 + 4 + 35*h**2 + d*h**2 wrt h.
108*h
Let t = 248 + -147. Find the second derivative of -12*a**3 + 126*a - t*a + 2*a**3 wrt a.
-60*a
Let p(q) be the first derivative of -35*q**4 - 218*q**3/3 + 7. What is the third derivative of p(b) wrt b?
-840
Let x(c) be the first derivative of 401*c**5/5 - 425*c**2/2 - 21. What is the second derivative of x(p) wrt p?
4812*p**2
Suppose -2*j - 4*u + 26 = 0, 0 = -j + u + 2*u + 33. Let f = -11 + j. What is the second derivative of -4*n - 5*n + 6*n**3 - 5*n**3 - f*n**3 wrt n?
-54*n
Suppose -f + 8 = 4*z, -10 = -2*z + 4*z + 4*f. Suppose 0*s = 3*s - 3, z*n - 4 = 5*s. What is the second derivative of -5*v**4 + v - 2*v + n*v wrt v?
-60*v**2
Let r(g) be the second derivative of -111*g**6/10 - 54*g**2 - 3*g - 34. Find the first derivative of r(d) wrt d.
-1332*d**3
Let j(a) = -3*a + 47. Let t be j(15). Find the third derivative of 7*p**4 - 37*p**2 - 30*p**2 + 68*p**t wrt p.
168*p
Suppose -2*m - 8 = -16. Suppose h - 2*h + 5*g = 2, -3*h = -5*g - m. Find the second derivative of -8*s - 2*s + 3*s**5 - 4*s**5 + h*s**5 wrt s.
40*s**3
Let o(y) = 2*y**3 - 2*y**2 + 3*y. Let p be o(2). Let f = -5 + p. Differentiate -f*n + 10*n - 4*n + 1 with respect to n.
-3
Find the third derivative of -56*r**3 + 2*r**2 - 2*r**2 - 27*r**3 + 44*r**2 wrt r.
-498
Suppose -5*x = -1 - 9. Differentiate -4*f + x*f - 9*f**3 + 2*f + 12 wrt f.
-27*f**2
Let r(o) be the first derivative of -109*o**2 + 20*o - 246. Find the first derivative of r(c) wrt c.
-218
Let j(a) be the third derivative of -13*a**7/210 - a**4/8 + a**3 - 16*a**2 - 1. Find the second derivative of j(q) wrt q.
-156*q**2
Find the second derivative of 3*j + 61*j**2 + 111*j**4 - 91 - 31*j**2 - 31*j**4 - 31*j**2 wrt j.
960*j**2 - 2
Suppose o - 2 - 3 = 0. Suppose 0*p + d + 2 = p, o*p - 17 = -2*d. What is the second derivative of -18*a**p + 18*a**3 + a**4 - 4*a wrt a?
12*a**2
Let b(t) = -9*t - 5. Let i be b(-4). Suppose -2*h - 3*v + 0*v = -i, h - v = 3. What is the third derivative of 5*u**3 + 4*u**3 - 2*u**3 + h*u**2 wrt u?
42
Let n(x) be the second derivative of 0*x**2 + 0 + 0*x**5 - 19/3*x**3 + 0*x**4 + 11/30*x**6 + 32*x. What is the second derivative of n(q) wrt q?
132*q**2
What is the third derivative of -1 + 782*h**2 + h**3 + 27*h**3 - 786*h**2 wrt h?
168
Let s = -18 - -18. Differentiate -b + s*b - 5*b + 8 - 4*b with respect to b.
-10
Let x(m) = 119*m**2 - 136*m + 932. Let h(p) = 59*p**2 - 63*p + 466. Let b(w) = -13*h(w) + 6*x(w). What is the first derivative of b(i) wrt i?
-106*i + 3
Let v(r) be the second derivative of -21/2*r**2 - 19/20*r**5 + 0*r**4 + 0 + 0*r**3 - 19*r. Find the first derivative of v(x) wrt x.
-57*x**2
Suppose -q + 7 = 7. Let f(x) be the first derivative of 3 + q*x**4 - 4/5*x**5 + 0*x - 2/3*x**3 + 0*x**2. What is the third derivative of f(w) wrt w?
-96*w
What is the third derivative of -3*a**3 + 3*a**3 - 14*a**2 - 41*a**6 - 318*a**2 + 101*a**5 - 103*a**5 wrt a?
-4920*a**3 - 120*a**2
Suppose 0 = -6*i - 17 + 155. What is the first derivative of -4 + 0*u + 4*u + i + 19 wrt u?
4
Let u(w) = 5*w + 5. Let h(k) = -9*k - 9. Let c(j) = -4*h(j) - 7*u(j). Let d be c(6). Find the third derivative of 4*m**2 + d*m**2 + 6*m**3 - 5*m**2 wrt m.
36
Find the first derivative of -138*k**3 - 2*k - 288*k**3 - k**2 + k**2 + 277*k**3 - 42 wrt k.
-447*k**2 - 2
Suppose 44 + 11 = 5*o. What is the second derivative of -o*s**3 + 2*s - 33*s**2 + 33*s**2 wrt s?
-66*s
Let q be 1/2 - (-189)/42. Suppose 4*y + 2 = -3*l, 2*l - l - 12 = 5*y. What is the second derivative of -l + 6*d - 10*d - q*d**5 + 2 wrt d?
-100*d**3
Let s = 28 + -24. What is the third derivative of 52*y**5 - 10*y**s + 14*y**4 + 23*y**2 - 4*y**4 wrt y?
3120*y**2
Find the second derivative of -64*i**3 + 34*i + 98*i**3 + 8*i**2 - 8*i**2 wrt i.
204*i
Let t(c) be the third derivative of c**6/120 - 11*c**5/30 - c**4/6 + 2*c**3/3 + 13*c**2. What is the second derivative of t(m) wrt m?
6*m - 44
Let o(q) be the first derivative of q**6/10 - 5*q**4/6 - 9*q + 14. Let v(b) be the first derivative of o(b). What is the third derivative of v(s) wrt s?
72*s
Let w = -4 - -16. Find the second derivative of -3 + 3 - 3*m**2 - w*m + 0*m**2 wrt m.
-6
Let y(k) = -81*k**2 - 23. Let l(r) = 1135*r**2 + 320. Let v(z) = -4*l(z) - 55*y(z). What is the first derivative of v(u) wrt u?
-170*u
Let j(f) be the third derivative of -8*f**7/105 - 139*f**4/12 - 319*f**2. Fin