c(x) = m*a(x) + 3*i(x). Find the third derivative of c(y) wrt y.
-528*y
What is the second derivative of -5*k**3 - 52*k**3 - 22*k**3 + 22*k - 1 + 9*k wrt k?
-474*k
Let i = 16 + -19. Let r = 6 + i. What is the first derivative of 33*v - 2*v**2 - 33*v + r wrt v?
-4*v
Differentiate 3*v + 66 + 3*v**2 - 6*v**2 - 220 wrt v.
-6*v + 3
Suppose 2*q = 4*q + 4, 2*c + 2*q + 18 = 0. Let o(a) = a**2 + 5*a - 10. Let y be o(c). What is the third derivative of -14*m**2 + y*m**2 + 3*m**5 + 6*m**5 wrt m?
540*m**2
Find the first derivative of p - 497 + 8 - p - 107*p**2 - 165*p**2 wrt p.
-544*p
What is the second derivative of -26249 + 2*m**2 + 26249 - 103*m**4 - 83*m wrt m?
-1236*m**2 + 4
Let a = 4 + -1. Suppose v + 5*s - 30 = 0, a*v - 4*s = -v. What is the second derivative of -g + 28*g**v - 5*g - 22*g**5 wrt g?
120*g**3
Suppose 5*i - 7*i + 10 = 0. Find the third derivative of -12*d**2 + 42*d**i - 21*d**5 - 22*d**5 wrt d.
-60*d**2
Suppose 3*w - 43 = -5*z, 7*z - 3*z = 3*w + 56. What is the first derivative of 5*l**4 - 4 - 15*l**4 + z*l**4 wrt l?
4*l**3
Suppose 62 + 3 = 5*v. What is the derivative of -v - 5*x - 3*x + x - x wrt x?
-8
Let v(y) be the third derivative of 1/60*y**5 + 0*y**6 + 0 + 0*y + 0*y**7 + 1/8*y**8 + 29*y**2 + 0*y**3 + 0*y**4. What is the third derivative of v(n) wrt n?
2520*n**2
Let u(o) be the first derivative of 8/3*o**3 + 0*o**2 + 13 - 11*o. What is the first derivative of u(c) wrt c?
16*c
Let d(b) be the first derivative of -111*b**5/5 + b**4 + 179*b**3 + 807. What is the third derivative of d(g) wrt g?
-2664*g + 24
Let p(n) be the second derivative of -37*n**4/4 + 52*n**3/3 - 236*n. Find the second derivative of p(j) wrt j.
-222
Let b(c) = -6*c - 58. Let i be b(-10). Find the third derivative of -4*q**5 - 18*q**5 + 99*q**i - 61*q**2 wrt q.
-1320*q**2
Let v be -1 + (-4 - -3) + -1. Let w(n) = n**3 + 5*n**2 + 3*n - 3. Let k be w(v). What is the third derivative of c**2 + 0*c**2 + 3*c**2 + 2*c**4 - k*c**4 wrt c?
-96*c
Let m = 41 - 36. Find the third derivative of 15 - 16*v**m - 23 - 6*v**2 + 8 wrt v.
-960*v**2
Let c(s) = s**2 - 17*s - 13. Let j be c(18). Find the third derivative of -3*o**5 - 9*o**j - 6*o**5 - 3*o**5 - 11*o**2 wrt o.
-1260*o**2
Let l(a) be the second derivative of 0 + 0*a**2 + 0*a**4 + 1/2*a**3 + a**5 - 15*a. Find the second derivative of l(h) wrt h.
120*h
Let u be 2/((-5)/2 + 3). Let j = -12 - -24. What is the derivative of 2*k - j + 15 - u*k wrt k?
-2
Let x(p) be the second derivative of -p**9/3780 - p**5/120 - p**4 + 11*p. Let s(o) be the third derivative of x(o). Differentiate s(l) wrt l.
-16*l**3
Let t(b) be the second derivative of -b**6/10 + 47*b**3/6 + 285*b**2/2 - 3*b + 9. Find the first derivative of t(p) wrt p.
-12*p**3 + 47
Let z(s) = 2*s + 1. Let c be z(1). Let p = -4 + 9. What is the derivative of 6 + 0*o**3 - o**3 - p*o**c wrt o?
-18*o**2
Let b(p) be the first derivative of -5*p**8/168 - p**5/6 - 5*p**2/2 + 3. Let z(a) be the second derivative of b(a). Find the third derivative of z(l) wrt l.
-600*l**2
Let l(k) be the first derivative of 449*k**4/4 + 199*k - 347. What is the derivative of l(h) wrt h?
1347*h**2
Let o(v) be the second derivative of v**5/2 - 2*v**3/3 + 49*v**2/2 - 16*v. What is the derivative of o(f) wrt f?
30*f**2 - 4
Let x(y) be the first derivative of 20 - 13 + 2*y**2 + 13 + 8*y - 34*y. Find the first derivative of x(n) wrt n.
4
Find the second derivative of 11*q + 119*q**5 - q + 83*q**5 + 2*q wrt q.
4040*q**3
Let y be (-4 + 28/10)/(2/(-5)). What is the third derivative of -4*f**2 + 6*f**2 - 89*f**3 - f + 69*f**y wrt f?
-120
Find the first derivative of -80*d - 58*d + 35*d + 27*d - 325 - 89*d wrt d.
-165
Let g(l) = 21*l**3 - 15*l**2 + 495. Let h(y) = -2*y**3 - 2. Let v(b) = g(b) + 4*h(b). Differentiate v(a) wrt a.
39*a**2 - 30*a
Suppose -2*f + 3 = -7. What is the second derivative of -6*u + 19*u**4 - 3*u + f*u**4 - 14*u**4 wrt u?
120*u**2
Find the third derivative of 160 - 420 + c**2 + 4*c**5 + 103*c**5 - 39*c**5 wrt c.
4080*c**2
Let m be -2 + 0 + -4 + 5. Let l be -6*m/2 - 5. Let g(x) = 3*x + 2. Let d(t) = 14*t + 9. Let v(s) = l*d(s) + 11*g(s). Differentiate v(b) wrt b.
5
Let f(r) be the third derivative of 0*r**4 + 0*r**6 + 0*r + 0*r**3 + 0 - 12*r**2 + 3/20*r**5 + 1/105*r**7. Find the third derivative of f(x) wrt x.
48*x
Let i(r) = 60*r - 29. Let t(m) = -64*m + 30. Let p(z) = -6*i(z) - 5*t(z). Differentiate p(n) wrt n.
-40
Find the second derivative of -137*t**4 + 627*t**4 + 200*t + 151*t wrt t.
5880*t**2
Let t be (12/(-10))/(20/50). Let s be t - (1 - 5) - 1. Differentiate 3*q**2 + 4 + 7 - 18 + s with respect to q.
6*q
Let k be ((-15)/(-20))/(3/8). Suppose -5*l + 41 = -4*s, -5 = k*l - 2*s - 23. Find the second derivative of -f**l + 367*f**3 + 9*f - 367*f**3 wrt f.
-20*f**3
Find the second derivative of -11*b**5 - 154*b**3 - 55*b + 154*b**3 + 2*b**4 wrt b.
-220*b**3 + 24*b**2
Let m be ((-204)/12)/(2/(4/(-2))). Find the third derivative of 35*k**3 + 3*k**2 + m*k**2 + 31*k**2 wrt k.
210
Let v(x) be the third derivative of -x**9/504 - 89*x**6/120 - x**5/20 + x**4/8 + 454*x**2. Find the third derivative of v(a) wrt a.
-120*a**3 - 534
What is the third derivative of 4779*m**2 - 9209*m**2 + 648*m**4 + 4795*m**2 wrt m?
15552*m
Let q(d) = -3*d**2 + d + 1. Let c(n) = -n**3 + 21*n**2 - 4*n - 210. Let t(z) = -c(z) - 4*q(z). Find the first derivative of t(g) wrt g.
3*g**2 - 18*g
Let z be ((-4)/(-3))/(18/27). Find the third derivative of -45*x**4 + 0*x**z + 46*x**4 + 3*x**2 wrt x.
24*x
Let s(n) be the third derivative of 0*n + 0 + 0*n**5 + 1/6*n**6 + 0*n**4 - 7/3*n**3 - 18*n**2. Differentiate s(t) with respect to t.
60*t**2
Let m(a) = 2*a + 18. Let o(u) = -8*u - 2 - 5*u + 3 + 14*u. Let h(l) = -m(l) + 3*o(l). What is the derivative of h(f) wrt f?
1
Let i(o) = 303*o**2 - 4*o - 270. Let q(y) = y - 5. Let u(d) = i(d) + 6*q(d). Find the second derivative of u(h) wrt h.
606
Let m(u) = -160*u + 10 + 161*u + 3. Let i(q) = -7. Let j(f) = -7*i(f) - 3*m(f). Differentiate j(k) with respect to k.
-3
Suppose -7 = 5*g + 58. Let u = g - -15. Find the third derivative of -4*f**u - 8*f**2 + 2*f**2 - f**3 wrt f.
-6
Let x(g) be the first derivative of 0*g**3 - 29/5*g**5 + 1 + 0*g - 2*g**2 + 0*g**4. Find the second derivative of x(k) wrt k.
-348*k**2
Let n(p) = p**3 - 3*p**2 + 5*p - 5. Let r be n(3). Differentiate -r*l**2 + 2 - l**2 - 6*l**2 wrt l.
-34*l
Let o(y) be the first derivative of -83*y**4 + 175*y - 158. Differentiate o(r) wrt r.
-996*r**2
Let u(w) be the first derivative of 0*w**2 - 2*w + 55 + 12/5*w**5 + 1/2*w**4 + 1/3*w**3. What is the third derivative of u(a) wrt a?
288*a + 12
Let b(n) be the second derivative of -n**5/24 - n**4/2 - n**3 + 8*n. Let d(h) be the second derivative of b(h). Differentiate d(c) wrt c.
-5
Suppose -33*w - 16 = -41*w. Let m = 6 - 1. Find the third derivative of 5*u**m - 4*u**5 - w*u**2 + 0*u**5 wrt u.
60*u**2
Let m = 87 - 85. Find the third derivative of 8*u**3 - 2*u**3 - 6*u**m + 4*u**3 + 8*u**3 wrt u.
108
Let k(j) be the second derivative of 274*j**3/3 + 3*j**2 - j + 186. Differentiate k(t) wrt t.
548
Let y(i) = -55*i**2 + i + 9. Let a(x) = 54*x**2 - x - 10. Let b(z) = -2*a(z) - 3*y(z). What is the second derivative of b(p) wrt p?
114
Let q(a) = 197*a**2 - 31*a - 6. Let h(i) = 394*i**2 - 67*i - 11. Let s(f) = -6*h(f) + 11*q(f). Find the second derivative of s(m) wrt m.
-394
Let c = -48 + 52. What is the second derivative of 5*j**4 + 3*j + 6*j + 0*j - j**c wrt j?
48*j**2
Let u(y) be the third derivative of -19*y**7/70 + 3*y**5/20 + 145*y**4/6 - 593*y**2. Find the second derivative of u(s) wrt s.
-684*s**2 + 18
Let j(s) be the second derivative of s**4/6 - 53*s**3/6 + 131*s**2/2 - 7*s - 1. Differentiate j(t) wrt t.
4*t - 53
What is the derivative of -2 + 150*k + 97*k - 49 - 54 + 407*k wrt k?
654
Differentiate 185 + 0*p**3 + 5*p**3 - 18*p - 6*p**3 + 78*p + 19 with respect to p.
-3*p**2 + 60
Find the second derivative of 37*g**4 + 1 + 32*g**3 + 49*g + 1 + 3*g**2 - 19*g - 32*g**3 wrt g.
444*g**2 + 6
Let t(d) be the second derivative of -d**8/28 + 71*d**4/12 - 4*d + 3. Find the third derivative of t(r) wrt r.
-240*r**3
Let o(f) be the second derivative of 7*f**5 + 125*f**2/2 - 69*f. What is the derivative of o(v) wrt v?
420*v**2
Let n(l) = -125*l**3 - 5*l**2 - 4*l - 414. Let h(c) = 501*c**3 +