 + n**4/24 + 51*n**3/2 + 82*n**2. Differentiate a(b) wrt b.
-111*b**2 + 1
Differentiate -3*k**2 + 652*k - 2*k**3 + 3*k**2 + 365 - 852*k with respect to k.
-6*k**2 - 200
Let p(c) = c - 15 + 0*c - 12 + 28. Let g(i) = 19*i - 29. Let s(j) = -g(j) - 6*p(j). Find the first derivative of s(m) wrt m.
-25
What is the first derivative of -81 - 12 + 13*m - 93*m wrt m?
-80
Let m(f) = f**3 + f**2 - f + 1. Let n be m(1). Find the first derivative of -w**3 + 6*w**n - 6*w**2 + 0*w**3 - 10 wrt w.
-3*w**2
Let y(q) be the first derivative of 26/3*q**3 + 29/2*q**2 + 31 + 0*q. Find the second derivative of y(b) wrt b.
52
Let a(i) be the second derivative of 0*i**3 + 1/2*i**2 + 23*i + 0 + 7/2*i**4. Differentiate a(t) wrt t.
84*t
What is the third derivative of 2 - 4*m**5 - 68*m**5 + 19 - m**2 - 7 wrt m?
-4320*m**2
Let j(c) = 114*c**4 - 8*c**3 + 56. Let m(p) = 115*p**4 - 10*p**3 + 56. Let a(o) = 5*j(o) - 4*m(o). Differentiate a(t) with respect to t.
440*t**3
Suppose s + 4 = -s. Let h be (-12)/(-8) + (-1)/s. What is the derivative of -2*y**h - 6 + 5*y**2 - 7*y**2 wrt y?
-8*y
Let s(l) be the first derivative of -679*l**2/2 + 594*l + 528. What is the derivative of s(n) wrt n?
-679
Let g(f) be the first derivative of 97*f**5/5 + 261*f + 498. Differentiate g(p) wrt p.
388*p**3
Let p(h) = -209*h**4 + 2*h**3 + 156. Let x(g) = 419*g**4 - 5*g**3 - 312. Let c(a) = 5*p(a) + 2*x(a). What is the first derivative of c(u) wrt u?
-828*u**3
Let m(o) = -57*o**3 + 2*o**2 - 10*o + 11. Let r(w) = 115*w**3 - 4*w**2 + 19*w - 21. Let v(s) = 7*m(s) + 4*r(s). What is the second derivative of v(u) wrt u?
366*u - 4
Let l(p) = p + 2. Let a(f) = -58*f**3 - 17*f**2 - 3*f - 4. Let b(i) = a(i) + 2*l(i). Find the third derivative of b(o) wrt o.
-348
Suppose 4*d - 2*d = -4. Let f be (0/(1 + -4))/d. Differentiate 1 - q - 2*q - q + f*q with respect to q.
-4
What is the third derivative of -34*c + c**6 + 0*c**2 - 52*c**3 + 2*c**2 - 4*c**6 + 4*c**6 wrt c?
120*c**3 - 312
Let b(s) = s**3 - 9*s**2 + 7*s + 10. Let k be b(8). Let y(l) be the first derivative of -k + 4*l - 1/2*l**2. Find the first derivative of y(x) wrt x.
-1
Differentiate 28*v**2 - 3*v - v**2 + 5*v**2 + 30 - 2*v with respect to v.
64*v - 5
Let m(v) be the first derivative of 28*v**5/5 + v**3 + 13*v**2/2 - 19*v - 387. Find the second derivative of m(x) wrt x.
336*x**2 + 6
Let j(h) = -h**2 - h - 1. Suppose 15 = 6*v + 9. Let q(t) = -20*t**4 - 24*t**2 - 16*t - 16. Let k(a) = v*q(a) - 16*j(a). Find the third derivative of k(d) wrt d.
-480*d
Let y be (126/30)/(-2 - 33/(-15)). Differentiate -7*v**2 - y - 2*v**2 - 24*v**2 with respect to v.
-66*v
Find the third derivative of 9*i**2 - 39 + 0*i**2 + 4*i**2 + 10 + 34*i**3 - 350*i**3 wrt i.
-1896
What is the second derivative of -109*k**4 - 79*k**4 - 106*k - 25*k**4 + 4*k**4 wrt k?
-2508*k**2
Let a be ((-1)/(-12))/(1 - 136/153). Let d(j) be the second derivative of a*j**4 + 0 - 5/3*j**3 + 0*j**2 - 2*j. What is the second derivative of d(r) wrt r?
18
Find the first derivative of -131 - 27*u - 26*u - 15*u + 17*u wrt u.
-51
Let s(r) = 17*r**4 - 4*r**3 + 3*r**2 + 9*r + 5. Let q(o) = -o**3 + o**2 + o + 1. Let a(f) = -5*q(f) + s(f). Find the third derivative of a(x) wrt x.
408*x + 6
Suppose -n - 4 = -8. Differentiate 8*i**4 + 10*i**4 - 14 - 23*i**n wrt i.
-20*i**3
Let c(w) = -8*w**2 + 77*w - 352. Let r(p) = 15*p**2 - 157*p + 703. Let j(u) = 11*c(u) + 6*r(u). Find the first derivative of j(k) wrt k.
4*k - 95
Let i(b) = -196*b**3 + 12*b**2 + 4*b - 24. Let j(z) = 197*z**3 - 9*z**2 - 3*z + 25. Let x(v) = -3*i(v) - 4*j(v). What is the first derivative of x(m) wrt m?
-600*m**2
Let d(n) be the second derivative of 0 - 6*n + 0*n**2 + 13/6*n**3 + 1/2*n**5 + 0*n**4. Find the second derivative of d(x) wrt x.
60*x
Let n(t) be the third derivative of t**6/40 - 7*t**5/15 + 4*t**4 + 99*t**2. What is the second derivative of n(z) wrt z?
18*z - 56
Let n(g) be the third derivative of -167*g**6/40 - 158*g**3/3 + 29*g**2 - 2*g. Differentiate n(w) wrt w.
-1503*w**2
Find the second derivative of -45*v**2 - 21*v**2 + 30*v - 15*v**2 - 59*v**2 + 53*v**2 wrt v.
-174
Let o(z) be the second derivative of 73*z**5/5 + 49*z**4/4 + z**2/2 - z + 2. What is the third derivative of o(w) wrt w?
1752
Let a = -10 - -4. Let k be 45/(-18)*a/5. What is the third derivative of -7*x**k - x**2 + 7*x**3 + x**6 wrt x?
120*x**3
What is the third derivative of -36*s**2 - 33*s**2 + 2 + 75*s**2 - 75*s**3 wrt s?
-450
Let v(t) be the second derivative of 0*t**2 + 5*t + 0*t**4 + 13/3*t**3 + 0 - 1/5*t**5. Find the second derivative of v(k) wrt k.
-24*k
Suppose -14 = -2*c - 2*u, 0 = -4*c - 0*u - 5*u + 32. Let f(h) be the second derivative of 0*h**c + 0 + h + h**2 - 1/4*h**4. Differentiate f(d) wrt d.
-6*d
Find the second derivative of -116*l**2 - 50*l**2 - 21*l**2 + 4 + 8*l**2 - 22*l**2 + 69*l wrt l.
-402
Let d(a) = -18*a + 142. Let r(l) = -55*l + 429. Let h(c) = -11*d(c) + 4*r(c). What is the first derivative of h(i) wrt i?
-22
Let y be 6 - 2 - 8 - 2. Let s(i) = -i**2 - 1. Let j(w) = -3*w**2 + 18. Let q(c) = y*s(c) - j(c). What is the first derivative of q(v) wrt v?
18*v
Let i(j) be the second derivative of 29*j**5/4 + j**4/4 - 11*j**2 + 58*j. Find the third derivative of i(n) wrt n.
870
Let j(n) = 4 - 30*n + 32*n - 14. Let x be j(8). What is the derivative of -x*w - 3*w**3 + 4*w + 2*w - 3 wrt w?
-9*w**2
Find the second derivative of 2*r - 7*r + 2*r**4 - 36*r**5 + 34*r**5 + 6 wrt r.
-40*r**3 + 24*r**2
Suppose -4*u - 3 = a, u - 4*u = -a + 11. Suppose 4*n - 5*r - 7 = -0*r, 0 = 5*n + a*r - 20. What is the derivative of -q**3 - 2 + 3 - 3*q**n wrt q?
-12*q**2
Let v(t) = -5*t**3 + 4*t**2 + 80*t. Let g(h) = -h**5 - h**3 - h**2 + h. Let d(a) = 4*g(a) + v(a). What is the second derivative of d(o) wrt o?
-80*o**3 - 54*o
Let m(r) be the third derivative of 239*r**9/168 + 23*r**5/20 + r**3/3 - 322*r**2. Find the third derivative of m(h) wrt h.
86040*h**3
Let j be (-12)/(-5) + 8/(-20). Suppose -5*u - x + 4 = 3*x, 0 = 4*u + 4*x. Find the second derivative of z - 9*z + 3*z**2 - u*z**j wrt z.
-2
Let n(z) be the second derivative of 0*z**4 - 3/20*z**5 + 0 + 3/2*z**3 - 6*z + 0*z**2. Find the second derivative of n(q) wrt q.
-18*q
Let b(k) be the third derivative of 0*k + 13*k**2 + 0*k**4 - 11/2*k**3 + 3/10*k**5 + 0. Differentiate b(h) wrt h.
36*h
Let c(b) be the second derivative of -1/12*b**4 + 5/21*b**7 + 0*b**5 + 0 - 10*b + 0*b**3 + 0*b**2 + 0*b**6. What is the third derivative of c(y) wrt y?
600*y**2
Let z(c) = -c**3 - 2*c + 0*c - 2*c + 5*c. Let a(g) = 9*g**3 + 6*g + 13. Let k(w) = -a(w) + 6*z(w). Differentiate k(q) wrt q.
-45*q**2
Let q(l) be the third derivative of l**6/24 + l**4/24 - 4*l**3/3 + 7*l**2 + 2. Differentiate q(t) wrt t.
15*t**2 + 1
Let k = -18 - -23. Suppose k*m - 47 = -4*q, -m + 5*q = -2*m + 22. Find the second derivative of 2*g**2 + m*g - 10*g - 4*g**2 wrt g.
-4
What is the second derivative of -93*h**5 + 21*h**5 - 35*h - 389*h**5 + 114*h + 31*h wrt h?
-9220*h**3
Suppose 0 = w - 2*y - 30, w - 2*y - 32 = 2*y. Differentiate 12*v**2 - 28*v + 5 + 7 + w*v with respect to v.
24*v
Let q(a) be the third derivative of a**7/70 + a**6/24 - 17*a**4/24 - a**3/3 - 38*a**2. What is the second derivative of q(f) wrt f?
36*f**2 + 30*f
Let g(j) be the second derivative of -j**5/20 - 43*j**4/12 - 169*j**2 + 2*j - 15. What is the derivative of g(o) wrt o?
-3*o**2 - 86*o
Let z(r) be the first derivative of 118*r**3/3 - r**2 + 339*r + 571. What is the derivative of z(g) wrt g?
236*g - 2
What is the derivative of 23*s**4 - 165000 - 91*s**4 + 165557 wrt s?
-272*s**3
Suppose 4*v = -d - 164, 4*d - 2*d = -8. Let k = -32 - v. What is the second derivative of 10*l**3 - k*l - 5*l**3 - l**3 wrt l?
24*l
Let w be 1/(3/42) - 4. Suppose -w = -2*k - 3*k. What is the first derivative of 4*r - 1 - 2*r + k*r wrt r?
4
Suppose 0 = -3*c, 5*c + 4 = v - 1. Find the second derivative of -9 + v*n**2 - 23*n**2 + 9 - 7*n wrt n.
-36
Let f = 73 - 70. What is the third derivative of -13*a**2 - 5*a**3 + 0*a**f - 6*a**3 wrt a?
-66
Let x = 3 + 5. What is the derivative of -2*l**4 + 1 - x*l**4 + 3*l**4 - 13 wrt l?
-28*l**3
Let l(w) = -4*w. Let r(m) = 579*m + 346. Let p(b) = -l(b) + r(b). Differentiate p(g) wrt g.
583
Let w(r) be the second derivative of 41*r**4/4 + 91*r**2/2 - 139*r - 2. Find the first deriva