21*r - 144666*r**4 + 144668*r**4 - 6*r**3 - 93*r**6 wrt r.
-11160*r**3 + 48*r - 36
What is the third derivative of -188*v**4 + 279*v**4 + 1363*v**4 - 2060*v**2 wrt v?
34896*v
Differentiate -2477*d**2 - 3*d + 11*d - 8*d - 486 + 3426 wrt d.
-4954*d
Suppose -c + 2*f = -0*c - 34, -40 = -c + 4*f. Find the second derivative of c*g**2 - g + 65*g**2 + 4*g - 37*g**2 + 20 wrt g.
112
Find the first derivative of 0*r + 314*r**3 - 393 + 262*r**3 - 505*r**3 + r wrt r.
213*r**2 + 1
Let v(r) be the third derivative of 0 + 0*r**4 + 83/3*r**3 + 0*r**5 + 0*r - 2/15*r**6 - 51*r**2. What is the derivative of v(w) wrt w?
-48*w**2
Suppose 700*v = 695*v + 450. What is the third derivative of 48*k**2 - 205*k**5 + 289*k**5 + v*k**5 wrt k?
10440*k**2
Let g = -5092 - -5103. Let r(t) be the first derivative of 0*t**4 + 0*t**2 - 14*t + 0*t**3 + 13/5*t**5 + g. What is the derivative of r(i) wrt i?
52*i**3
Let z(q) be the first derivative of 0*q - 1/3*q**3 + 99/2*q**2 + 91 + 7/4*q**4. What is the second derivative of z(m) wrt m?
42*m - 2
Let r = 15 - 19. Let t be 3 - (0 - (r - -3)). What is the third derivative of -b**4 - 3*b**t + b**4 + 3*b**4 + 0*b**4 wrt b?
72*b
Suppose u = -2*h - 4*u + 41, -5*u + 80 = 5*h. Suppose -17 = -f + h. What is the derivative of f*b + 1 + 2 - 30*b + 12*b**2 wrt b?
24*b
Let i(q) be the second derivative of -1551*q**8/14 + 11*q**4/4 + 26*q**2 + 2*q + 861. What is the third derivative of i(g) wrt g?
-744480*g**3
Let b(t) be the second derivative of 2*t + 0*t**6 + 0*t**4 + 1/42*t**7 - t**2 + 17/3*t**3 - 3/10*t**5 - 6. What is the second derivative of b(w) wrt w?
20*w**3 - 36*w
Let c(f) be the third derivative of 247*f**7/21 - 467*f**5/12 + 2508*f**2. What is the third derivative of c(p) wrt p?
59280*p
Let r(q) = -319*q**2 + 3867*q + 4. Let x(o) = 639*o**2 - 7726*o - 7. Let b(l) = 7*r(l) + 4*x(l). Find the second derivative of b(g) wrt g.
646
Let u(a) = 2605*a**2 - 3*a - 2294. Let s(w) = 7828*w**2 - 10*w - 6884. Let x(i) = 3*s(i) - 10*u(i). What is the derivative of x(d) wrt d?
-5132*d
Let k(y) be the first derivative of 3131*y**6/6 - 7*y**3/3 + 12*y**2 + 2*y - 1881. What is the third derivative of k(n) wrt n?
187860*n**2
Let t(f) = 2534*f**2 - 1266*f - 48. Let s(y) = 2535*y**2 - 1266*y - 60. Let n(l) = 4*s(l) - 5*t(l). What is the second derivative of n(i) wrt i?
-5060
What is the second derivative of -13308*p**3 + 1376282*p**2 - 11147*p - 1376282*p**2 wrt p?
-79848*p
Let m(t) = -4*t + 3. Let h be m(-5). Let x = -69 - -74. Find the third derivative of -3*y**5 + 8*y**x + 20*y**5 + h*y**2 wrt y.
1500*y**2
Let j(a) = 3*a**2 - 28*a + 29. Let x be j(11). Differentiate -17*v**2 - 45 - 27 + x - 4*v**2 with respect to v.
-42*v
Let n be 2/3*(-9)/(-2). Suppose -n*j + 13 = 1. What is the second derivative of -3*x + j*x + 5*x + 8*x**4 - 13*x**4 wrt x?
-60*x**2
Let y be -9 + 2*(0 - 1) + 5. Let b be 158/14 + (84/49)/y. Find the first derivative of b - 11*s**2 + 14 + 3 wrt s.
-22*s
What is the second derivative of -5022*c**5 - 379*c - 472 + 473 + 462*c**5 wrt c?
-91200*c**3
Find the second derivative of 5 + 4 - 6*c - 269*c**2 + 1 + 8 + 95*c**2 wrt c.
-348
Suppose 94*h = 100*h - 24. What is the third derivative of -61*f**h + 168*f**2 - 376*f**2 + 161*f**2 wrt f?
-1464*f
Suppose 3*p - 7 = -n, 0 = -2*n + 7*n + 2*p - 61. Let c = n - -6. What is the second derivative of c*g - 15*g**3 - 2*g**4 + 15*g**3 - 7*g wrt g?
-24*g**2
What is the second derivative of -350*p**2 - 933*p**2 + 314*p - 81*p**2 - 239*p**2 + 896*p wrt p?
-3206
Let t(n) be the first derivative of 0*n**2 + 320/3*n**3 - 90 - 334*n. What is the derivative of t(o) wrt o?
640*o
Suppose -417 + 165 = -6*v. Differentiate -31 + v + 38*s**3 + s + 117 wrt s.
114*s**2 + 1
Let j(p) = 1285*p - 1631. Let l(o) = 2515*o - 3263. Let c(i) = -9*j(i) + 4*l(i). What is the derivative of c(b) wrt b?
-1505
Suppose -5*n + 4 = -4*d, -2*d + 15 = n + 3. Differentiate 7465*r - 5 + 54 - 7465*r - 172*r**n wrt r.
-688*r**3
Let k(c) = 317*c**3 + 2*c**2 - 7*c + 40. Let s(l) = -l**3 - l**2. Let q(j) = k(j) + s(j). What is the second derivative of q(h) wrt h?
1896*h + 2
Let n(t) be the third derivative of -t**9/252 + t**8/168 - 23*t**7/14 - 13*t**5/20 - 23*t**4/24 + 19*t**2 + 78. What is the third derivative of n(z) wrt z?
-240*z**3 + 120*z**2 - 8280*z
Let y(q) be the first derivative of -5145*q**4/4 + 1993*q**3/3 + 1412. What is the third derivative of y(b) wrt b?
-30870
What is the third derivative of 5*b**5 - 17*b**5 - 136*b**6 + 3*b - 11*b**2 + 0*b + 7*b**5 wrt b?
-16320*b**3 - 300*b**2
Let f(n) be the first derivative of -1043*n**3/3 - 660*n + 1538. What is the derivative of f(a) wrt a?
-2086*a
Let z(t) be the third derivative of -1/12*t**4 + 4*t + 0*t**6 - 1/210*t**7 + 0 + 203/60*t**5 - 45/2*t**3 + 21*t**2. Find the second derivative of z(a) wrt a.
-12*a**2 + 406
Find the first derivative of -504*w + 2904 - 2377*w - 5836 wrt w.
-2881
Let d(p) = -2*p + 241. Let m be d(39). Find the third derivative of -51382*o - m*o**3 + 51382*o - 182*o**2 wrt o.
-978
Let c = 654 - 663. Let h(q) = 24*q**2 - 9*q + 360. Let k(r) = 11*r**2 - 4*r + 180. Let u(f) = c*k(f) + 4*h(f). What is the derivative of u(v) wrt v?
-6*v
Let a = -527 + 898. Let n = a - 200. What is the third derivative of 171 - n - 12*f**2 - 22*f**2 + 34*f**4 wrt f?
816*f
Let d(h) = 85*h**3 - 77. Suppose -y + l + 11 - 6 = 0, 0 = -y + 2*l + 6. Let m(v) = -85*v**3 + 76. Let i(u) = y*m(u) + 5*d(u). Differentiate i(p) wrt p.
255*p**2
Let p(t) be the third derivative of -3646*t**7/105 - 7465*t**3/6 + 112*t**2. Find the first derivative of p(m) wrt m.
-29168*m**3
Let i(r) be the first derivative of 4*r**3/3 - 2*r**2 + 38. Let z be i(3). What is the first derivative of -71 + 58 - z*c**2 + 3*c - 3*c wrt c?
-48*c
Find the second derivative of -5928 + 5928 + 138*x + 1225*x**4 wrt x.
14700*x**2
Let k(m) = 5*m - 29. Let w be k(9). Let p be ((-4)/w*18)/((-6)/8). Differentiate -11*b - 6 + p + 1 wrt b.
-11
Let r(c) be the first derivative of 89*c**6/6 - c**5/5 - 53*c**2/2 + 75. Let p(a) = a**4. Let u(b) = -p(b) - r(b). What is the second derivative of u(h) wrt h?
-1780*h**3
Let n = 403 - 373. Find the second derivative of -n*l + l**5 - l**5 + 3*l**5 - 72*l + 8*l**4 - 20*l**4 wrt l.
60*l**3 - 144*l**2
Let z(x) be the second derivative of 25/3*x**3 - 1/12*x**4 + 9/7*x**8 + 0*x**5 + 0*x**6 + 0*x**7 + 0*x**2 + 0 - 33*x. Find the third derivative of z(l) wrt l.
8640*l**3
Let v(z) = 2234*z**5 - 8*z**4 + 648*z**2 + 15. Let a(p) = -p**5 - p**4 - p**2 + 2. Let y(l) = 8*a(l) - v(l). Find the third derivative of y(w) wrt w.
-134520*w**2
Differentiate 742 + 125*j**3 - 1325*j**3 - 1180*j**3 wrt j.
-7140*j**2
Let w(i) = -14*i**3 - 2*i**2 + 977*i. Let f(j) = 69*j**3 + 12*j**2 - 4885*j. Let l(y) = 4*f(y) + 22*w(y). What is the second derivative of l(b) wrt b?
-192*b + 8
Let a(i) be the second derivative of 4169*i**5/20 + 1779*i**2/2 - 3832*i. Differentiate a(x) with respect to x.
12507*x**2
Let r(k) be the second derivative of -1393*k**3 - 12755*k**2/2 + k - 3494. Find the first derivative of r(h) wrt h.
-8358
Find the first derivative of -7621 + 15870 - 7113 - 98*h**2 - h**4 wrt h.
-4*h**3 - 196*h
Let j(t) be the second derivative of 17*t**5/10 - 4*t**4/3 - 2*t**3 - 107*t**2 - 3421*t. What is the second derivative of j(b) wrt b?
204*b - 32
Suppose -4*j = -6*d + 3*d - 7, -2*d - 2 = -2*j. Suppose 7 = -d*w + 52. Find the second derivative of 4*s + 27*s**5 + 17*s**5 - 27*s**5 + w*s wrt s.
340*s**3
Let a(w) = 408*w + 740. Let o(c) = -c + 5. Let u(j) = -a(j) + 5*o(j). Differentiate u(m) wrt m.
-413
Let u(o) = 4*o**2 - 10*o + 16. Let z be u(5). Differentiate 125 + z - 138*w**4 - 2*w**4 with respect to w.
-560*w**3
Let s be (-820)/(-11 - -6) + 1/(-1). Suppose -c + s = 139. What is the second derivative of 17*j**4 - 152*j + c*j**4 + 161*j wrt j?
492*j**2
Let g(x) be the third derivative of -2627*x**7/105 - 491*x**5/3 + x**2 - 55*x + 2. What is the third derivative of g(v) wrt v?
-126096*v
Let z(k) be the second derivative of 143*k**5/60 + 79*k**3/6 + 49*k**2 - 85*k. Let g(d) be the first derivative of z(d). Differentiate g(s) wrt s.
286*s
Find the third derivative of -247*y**2 + 157*y**2 + 872*y**2 - 55*y**4 - y**5 wrt y.
-60*y**2 - 1320*y
Suppose d - 20 = -3*d. What is the third derivative of -d - 82*x + 82*x + 208*x**4