x(l) = -2*l**4 + l**3 - l**2 - l. Let v(y) = 83*y**4 - 3*y**3 + 3*y**2 + 3*y - 41. Let r(p) = v(p) + 3*x(p). Find the first derivative of r(i) wrt i.
308*i**3
What is the second derivative of -11*j**2 + 5*j**2 + 187*j - 10*j**2 - 80*j wrt j?
-32
What is the first derivative of -540 + 93 - 70*d**4 + 789*d**2 + 27 - 789*d**2 wrt d?
-280*d**3
Let x = 31 - 27. Suppose 7*m - 12 = x*m. Differentiate -m + 5 + 0 + 6*t**4 - 7 with respect to t.
24*t**3
Let w(n) be the first derivative of 3 + 0*n**3 + 0*n**2 - 44*n + 9/2*n**4. Differentiate w(k) with respect to k.
54*k**2
Let d(t) = -t + 17. Let h be d(11). Find the second derivative of h*c + 22*c + 3*c + 49*c**3 wrt c.
294*c
Let z(q) be the third derivative of 1/5*q**5 + 0 + 19/6*q**3 + 0*q**4 + 5*q**2 + 0*q. Differentiate z(j) wrt j.
24*j
Let d(x) = -9*x**3 + 12*x**2 - 1703*x. Let l(q) = 6*q**3 - 8*q**2 + 1135*q. Let v(s) = 5*d(s) + 7*l(s). Find the second derivative of v(u) wrt u.
-18*u + 8
Let r = -13 + 15. Let c be 24/3*r/4. What is the second derivative of 7*k**5 + 36*k**4 + 5*k - k - 36*k**c wrt k?
140*k**3
Let i = 54 + -52. What is the third derivative of 9*r**6 - 216*r**3 - 22*r**i + 216*r**3 wrt r?
1080*r**3
Let a(t) be the first derivative of 0*t**3 + 11/5*t**5 - 2*t - 13 + 0*t**4 + 0*t**2. What is the first derivative of a(u) wrt u?
44*u**3
Let o(y) = 152*y + 235. Let h(r) = -4*r - 2. Let g(v) = 7*h(v) + o(v). What is the first derivative of g(a) wrt a?
124
What is the third derivative of -31*v**3 + 73*v**2 + 70*v**3 + 2*v - v + 65*v**3 + 164*v**3 wrt v?
1608
Let y(o) = -2*o**6 + 1. Let j(p) = -381*p**6 - 211*p**2 + 5. Let q(b) = -j(b) + 5*y(b). What is the third derivative of q(t) wrt t?
44520*t**3
Let x(a) = 11*a**2 - 3*a + 22. Let j(b) = -10*b**2 + 2*b - 21. Let q = -18 + 20. Let f(y) = q*x(y) + 3*j(y). What is the first derivative of f(d) wrt d?
-16*d
Let k(q) = 17*q**3 + 24*q**2 + 264*q. Let n(w) = 8*w**3 + 11*w**2 + 133*w. Let r(a) = -4*k(a) + 9*n(a). Find the second derivative of r(h) wrt h.
24*h + 6
Let z(c) be the first derivative of 62*c**5/5 + c**4/2 - 282*c - 124. Differentiate z(f) with respect to f.
248*f**3 + 6*f**2
Let s(m) = -19*m**3 + 5*m**2 + 6*m - 16. Let x(h) = 18*h**3 - 4*h**2 - 5*h + 15. Let y(l) = -4*s(l) - 5*x(l). What is the derivative of y(d) wrt d?
-42*d**2 + 1
Let r(q) = 59*q**4 + 11*q**2 - 10*q - 54. Let l(v) = -88*v**4 - 17*v**2 + 16*v + 81. Let i(a) = 5*l(a) + 8*r(a). What is the third derivative of i(w) wrt w?
768*w
Let q(f) = 103*f**2 - 2*f + 40. Let c(o) = 155*o**2 - 3*o + 60. Let m(j) = -5*c(j) + 7*q(j). What is the second derivative of m(a) wrt a?
-108
What is the derivative of -214 + 0*b + 10*b - 73*b**3 + 1015 - 10*b wrt b?
-219*b**2
Let c(t) be the first derivative of -13/2*t**2 + 13 + 0*t**4 - 6/5*t**5 + 0*t + 0*t**3. What is the second derivative of c(u) wrt u?
-72*u**2
Let m(o) = -o**3 - 8*o**2 - 2*o - 12. Suppose 5*v + 12 = -28. Let k be m(v). Differentiate -u**2 - u**2 + 3*u**2 - k*u**2 - 2 with respect to u.
-6*u
Let v(p) be the second derivative of 215*p**7/21 + 13*p**4/2 + p**3/6 + 59*p. Find the third derivative of v(l) wrt l.
25800*l**2
Let g(v) = -44*v**2 + 10*v - 57. Let l(u) = 44*u**2 - 7*u + 56. Let w(k) = -2*g(k) - 3*l(k). Find the first derivative of w(b) wrt b.
-88*b + 1
Let j(a) = -44*a**3 - 3*a**2 + 71*a. Let k(d) = 88*d**3 + 5*d**2 - 143*d - 1. Let o(t) = -5*j(t) - 3*k(t). What is the second derivative of o(b) wrt b?
-264*b
Let o(h) be the first derivative of -h**3 - 3*h**2 - 49. Find the second derivative of o(j) wrt j.
-6
Let x(c) = -c**4 + c**3 + c**2 - c - 1. Let b(t) = 5*t**4 - 3*t**3 - 64*t**2 + 3*t + 136. Let y(s) = -b(s) - 3*x(s). Differentiate y(p) with respect to p.
-8*p**3 + 122*p
Let s(d) be the third derivative of -16*d**7/105 + d**4/12 - 113*d**3/6 - 44*d**2 - d. Differentiate s(a) with respect to a.
-128*a**3 + 2
Let b(c) be the second derivative of -13*c**5/10 - 17*c**2 - 29*c. Find the first derivative of b(x) wrt x.
-78*x**2
Find the second derivative of 46435*z**3 - 11*z + 0 + 2 + 0 - 45757*z**3 wrt z.
4068*z
Let q(z) = -22*z - 25. Let s(j) = 14*j + 16. Let f(b) = -7*b - 8. Let l(i) = 7*f(i) + 3*s(i). Let r(u) = -14*l(u) + 4*q(u). Differentiate r(w) wrt w.
10
Let m(o) = -3*o - 7. Let d be m(-2). Let y(n) = -17*n**2 + 24*n + 1. Let c(w) = -w + 1. Let a(i) = d*y(i) + c(i). Find the second derivative of a(x) wrt x.
34
Find the third derivative of 3 - 3*y**4 - 4668*y**6 + 4976*y**6 - 22*y**2 + 3*y**4 - 24*y**2 wrt y.
36960*y**3
Let n(x) = 145*x**4 - 24*x + 15. Let q(b) = 289*b**4 - 49*b + 27. Let v(m) = 7*n(m) - 4*q(m). Find the second derivative of v(t) wrt t.
-1692*t**2
Let x be (1 - 3)*-2 - 1. Suppose -2*a + 4*p - 3 = -1, -2*a + 2*p + 2 = 0. Find the second derivative of -3*f + x*f**a - 13*f + 23*f wrt f.
18*f
Let p(d) = 1150*d**3 + 85*d**2 - 840. Let a(l) = 82*l**3 + 6*l**2 - 60. Let v(z) = 85*a(z) - 6*p(z). Find the first derivative of v(j) wrt j.
210*j**2
Let m(u) = -19*u**2 - 7*u - 74. Let j(q) = 12*q**2 + 7*q + 74. Let r(x) = 3*j(x) + 2*m(x). Differentiate r(l) with respect to l.
-4*l + 7
Let l(p) be the third derivative of 0*p**7 + 0 + 0*p + 0*p**5 - 19/24*p**4 + 20*p**2 - 1/84*p**8 + 0*p**3 + 0*p**6. What is the second derivative of l(d) wrt d?
-80*d**3
Let a(h) be the first derivative of 13*h**10/5040 + h**6/60 - h**3/3 - 11. Let u(x) be the third derivative of a(x). Find the third derivative of u(s) wrt s.
1560*s**3
Let q(p) be the third derivative of -13*p**8/12 + p**4/8 - 77*p**3/6 - p**2 - 341. Find the second derivative of q(f) wrt f.
-7280*f**3
Let l be ((-34)/8)/(8/(-64)). Find the second derivative of -4*a + l*a**3 - a - 9*a**3 + 0*a wrt a.
150*a
Suppose -5*y + 15 = -0*y. Find the third derivative of 0*t**2 - 7*t**2 - 15*t**2 - 6*t**y + 4*t**2 wrt t.
-36
Let x = 7 + -23. Let r = x + 18. Find the third derivative of 129*d**4 - 129*d**4 + 6*d**6 - 11*d**r wrt d.
720*d**3
Let i(x) = -6*x + 82. Let p(h) = h + 1. Let o(y) = i(y) + 2*p(y). Differentiate o(g) wrt g.
-4
Find the first derivative of 5*s**2 - 30*s**2 - 67 - 20 wrt s.
-50*s
Let q(b) = 2*b - 10. Let s be q(5). Find the second derivative of 8*h + h**3 + s*h**3 + 11*h**3 wrt h.
72*h
Let v(z) = z**3 - z**2 - 2*z + 3. Let x(h) = -15*h**3 - 3*h**2 + 339*h + 15. Let k(j) = -5*v(j) + x(j). What is the second derivative of k(w) wrt w?
-120*w + 4
What is the second derivative of 122*u**5 - u - 376*u**5 + 103 + 157 + 161*u**5 + 3*u wrt u?
-1860*u**3
Suppose 0 = 3*s + 3 + 9. Let h(v) = 21*v + 57. Let f(a) = -11*a - 28. Let n(d) = s*h(d) - 9*f(d). What is the derivative of n(j) wrt j?
15
Let k(c) be the third derivative of -5*c**8/112 - 5*c**4/24 + c**3/2 - 36*c**2. Find the second derivative of k(i) wrt i.
-300*i**3
Let n(t) = t**2 + 7*t - 22. Let b be n(-10). Differentiate -b*h**3 + 11 + 3*h**3 + 3*h**3 - 6*h**3 wrt h.
-24*h**2
What is the second derivative of 2 + t**2 - 33*t - 2*t**2 + t**2 - 130*t**5 + 1 wrt t?
-2600*t**3
Let t(h) be the third derivative of -50*h**7/21 - 655*h**3/6 + 49*h**2. Differentiate t(k) wrt k.
-2000*k**3
Let h(f) be the first derivative of -6*f**5/5 + 11*f**4/4 - 353*f**3/3 - 246. Find the third derivative of h(x) wrt x.
-144*x + 66
Let l(w) be the second derivative of -w**4/12 + 3*w**2 + 8*w. Let r be l(0). What is the third derivative of -9*h**r + 6*h**2 + 0*h**2 - 10*h**6 + 6*h**6 wrt h?
-1560*h**3
Suppose 75 = -8*c + 23*c. What is the first derivative of -3 + 24*v**2 - c + 42 wrt v?
48*v
Let c(f) = 5*f + 6. Let u be c(-6). Let v be -4 - u/(-9)*-3. Find the first derivative of 6*y + 11*y - v - 6*y wrt y.
11
Let d(p) be the third derivative of 13*p**8/10080 + 13*p**6/360 + 8*p**5/15 + 6*p**2. Let x(w) be the third derivative of d(w). Differentiate x(k) wrt k.
52*k
Let x(w) be the second derivative of 401*w**5/20 + 255*w**2 + 420*w. What is the derivative of x(i) wrt i?
1203*i**2
Let y(g) = -g**2 - 10*g - 19. Let x be y(-4). Find the third derivative of 13*t**x - 2*t**2 + 13*t**2 + 8*t**2 wrt t.
780*t**2
Suppose z = -z + 4*c + 192, -4*c = -4*z + 376. Find the third derivative of -93*k**2 + k**5 + 221*k**2 - z*k**2 wrt k.
60*k**2
Let h(k) = -k**3 + 4*k**2 - 2*k + 2. Suppose 3*p - 1 - 8 = 0. Let f be h(p). Find the first derivative of 4 - f + 5*o**2 + 4 wrt o.
10*o
Let v be 502/22 - (-6)/33. Let k = v - 22. Let p(f) = -2*f 