Suppose -3*s - 660 = -8*s. What is the second derivative of -211*a**4 + s*a**4 + 101*a**4 + 43*a wrt a?
264*a**2
Find the third derivative of -10*u**3 - 44 + 3*u**2 - 79*u**5 + 2 - 89*u**5 + u**6 + 284*u**5 - 76*u**5 + 2*u wrt u.
120*u**3 + 2400*u**2 - 60
What is the derivative of -311*i**2 + 213 + 290*i**2 - 15*i**3 + 177 + 242 wrt i?
-45*i**2 - 42*i
Let x(h) = -18*h + 186. Let s be x(9). Find the third derivative of 16*j + 3*j**3 + 11*j**2 - 19*j + s*j**3 wrt j.
162
Let v = 629 + -627. Find the third derivative of -202*u**3 - 4 + 32*u**3 - 30*u**v + 12*u**2 wrt u.
-1020
Differentiate 319*g**3 + 2587 + 28*g**2 + 12*g**2 - 318*g**3 - 274 with respect to g.
3*g**2 + 80*g
Let p(s) be the third derivative of -s**7/210 - 491*s**6/60 - 563*s**4/24 - 6371*s**2. Find the second derivative of p(c) wrt c.
-12*c**2 - 5892*c
What is the second derivative of 928*c + 44*c + 5822*c**2 - 1885*c**2 + 6376*c**2 - 2016*c**2 wrt c?
16594
Suppose 371 = -39*p + 46*p. What is the first derivative of -8*q - p + 91 - 51 wrt q?
-8
Let t(r) be the second derivative of -31*r**5/30 + 191*r**3/6 - 10*r**2 + r + 9. Let y(u) be the first derivative of t(u). What is the derivative of y(f) wrt f?
-124*f
Let n(d) be the third derivative of -59/105*d**7 + 0*d**6 + 6 + 0*d + 0*d**4 + 7/4*d**5 - d**2 + 0*d**3. Find the third derivative of n(o) wrt o.
-2832*o
Suppose g + g = 3*v - 8, 0 = -v + 4. What is the second derivative of 168*t**g - 11*t + 20*t - 304*t**2 + 18*t wrt t?
-272
Let n(r) be the second derivative of 1665*r**4/2 - 5500*r**3/3 + 3*r + 81. Find the second derivative of n(y) wrt y.
19980
What is the derivative of 20*q + 4*q**2 + 77*q - 11*q + 923 - 42 + 222*q wrt q?
8*q + 308
Suppose 4*q + 7 - 31 = 0. Find the second derivative of 32*r - q + 35*r - 60*r + 2*r**3 + 1 wrt r.
12*r
Let k(o) = -19*o**2 + 75*o - 5. Let t(x) = 19*x**2 - 76*x + 6. Suppose 6*y = 7*y - 6. Let g(w) = y*k(w) + 5*t(w). What is the second derivative of g(l) wrt l?
-38
Let u = -4 - -48. Let g = u + -39. Find the third derivative of -13*j**2 - 13*j**2 + 7*j**2 - 11*j**5 + g*j**5 wrt j.
-360*j**2
Find the third derivative of -12 - 4439*c**5 - 1773*c**2 - 1489*c**2 + 12 + 785*c**2 wrt c.
-266340*c**2
Let l(c) be the second derivative of -c**6/30 - 307*c**5/10 - 17*c**4/12 + 7*c**3/6 + 13*c**2/2 - 2737*c. Find the third derivative of l(g) wrt g.
-24*g - 3684
Let l(f) be the third derivative of 17*f**6/20 - f**5/60 + 108*f**3 - 911*f**2. What is the first derivative of l(k) wrt k?
306*k**2 - 2*k
Let j = 5641 - 5638. Let x(a) be the first derivative of -8 + 7/2*a**2 + 0*a + 0*a**j + 19/4*a**4. What is the second derivative of x(l) wrt l?
114*l
Let b(z) = -2408*z**2 + 15125*z + 16. Let o(q) = -802*q**2 + 5042*q + 6. Let t(j) = -3*b(j) + 8*o(j). Find the second derivative of t(i) wrt i.
1616
Let z = -2350 + 2364. Let i = -17 - -167. Differentiate 150*c + 22*c**3 - i*c + z with respect to c.
66*c**2
Let s(o) be the third derivative of 17*o**6/120 + 7*o**5/4 - 2167*o**3/3 + 2097*o**2. Differentiate s(p) wrt p.
51*p**2 + 210*p
Let b be (-1)/((5 - 10 - -4)/1). Find the second derivative of 683*m - 848*m - 126*m**5 - 1 + b wrt m.
-2520*m**3
Suppose 0 = -3*x + 23*x - 40. Let s(t) be the first derivative of 0*t - x + 0*t**4 - 15/2*t**2 + t**5 + 0*t**3. What is the second derivative of s(d) wrt d?
60*d**2
What is the third derivative of -9*v**3 - v**5 + 2317*v**2 - 2*v**6 - 102*v**3 + 1563*v**2 wrt v?
-240*v**3 - 60*v**2 - 666
Let r(n) be the second derivative of -357*n**5/5 + 8*n**3/3 - 35*n**2/2 - 12*n - 492. What is the second derivative of r(g) wrt g?
-8568*g
Suppose 0 = 31*o - 27*o - 160. Let s = o + -27. What is the first derivative of -4*l**3 + 4 + 4*l**3 + s*l**4 wrt l?
52*l**3
What is the third derivative of 3758*f**2 + 4*f**6 + f**6 - 8830*f**5 + 24*f**3 + 8832*f**5 wrt f?
600*f**3 + 120*f**2 + 144
Suppose 2*v - 68 = -4*k, -2*v = -3*k + 2*v + 51. Suppose 5*z - k = 4*z. Find the third derivative of -z*y**2 + 34*y**2 - 5*y**2 - 22*y**5 wrt y.
-1320*y**2
Let r(m) be the third derivative of -41/84*m**8 + 0*m**5 + 0*m**7 + 0 - 1/6*m**3 + 1/2*m**4 + 0*m - 214*m**2 + 0*m**6. Find the second derivative of r(b) wrt b.
-3280*b**3
Let f(c) be the second derivative of -19*c**5/10 - c**4/6 + 2*c**3/3 - 442*c**2 - 5678*c - 1. Differentiate f(z) wrt z.
-114*z**2 - 4*z + 4
Differentiate -2157*z + 7*z**2 - 10*z**2 + 2032*z + 180 + 5*z**2 - 19 with respect to z.
4*z - 125
Let b(p) be the second derivative of 0*p**6 + 0*p**5 + 19/3*p**4 - 5/21*p**7 - 1/56*p**8 + 0*p**2 + 0*p**3 + p + 53. What is the third derivative of b(m) wrt m?
-120*m**3 - 600*m**2
Let b(u) be the first derivative of u**7/7 - u**6/2 - 237*u**4/4 + 4913*u**3/3 + 2317. What is the third derivative of b(k) wrt k?
120*k**3 - 180*k**2 - 1422
Suppose 63 = -17*y + 165. Find the first derivative of -53 + 67*w**3 + 66 + 188*w**3 + 95 - y wrt w.
765*w**2
Let y(p) = -221*p**3 - 41*p**2 - 1. Let b(w) = -442*w**3 - 76*w**2 - 2. Let r(d) = -5*b(d) + 11*y(d). What is the third derivative of r(z) wrt z?
-1326
Let d(h) be the third derivative of -55*h**8/14 - h**4/6 - 61*h**3/6 + h**2 - 441*h. What is the second derivative of d(t) wrt t?
-26400*t**3
Let b(v) be the second derivative of 9*v**6/10 + v**5/20 + 5*v**4/12 + 41*v**3/2 + 966*v. Find the third derivative of b(i) wrt i.
648*i + 6
Find the third derivative of 264*o**6 - 9*o**6 - 17*o**2 + 501*o**2 + 83*o**6 wrt o.
40560*o**3
Let k(u) be the first derivative of 0*u**4 + 64 + 139/3*u**3 + 0*u**2 + 0*u - 35/6*u**6 + 0*u**5. Find the third derivative of k(c) wrt c.
-2100*c**2
Let b = -298 + 301. Differentiate -35 - 11 - 42*q**2 - b wrt q.
-84*q
Let n(z) be the second derivative of z**6/15 - 364*z**4/3 + 2521*z**3/6 - 3*z + 5. Find the second derivative of n(u) wrt u.
24*u**2 - 2912
Suppose -68 + 257 = 9*h. Find the second derivative of -100*x**5 + 93*x**3 - 95*x**3 + h*x - 4 - 2*x wrt x.
-2000*x**3 - 12*x
Differentiate -1448*r - 1421*r - 5867*r**2 - 1416*r + 4284*r - 6485 wrt r.
-11734*r - 1
Let f = -8 - -12. Suppose -3*g + f*s - 6 = 0, -4*g + 7*s = 3*s + 4. Find the third derivative of -20*b**4 + 13*b**4 - 4*b**g - 5*b**2 wrt b.
-168*b
Let v(u) be the second derivative of 0*u**3 + u**2 - 1/10*u**6 + 2/3*u**4 + u + 10 + 0*u**5. Differentiate v(j) wrt j.
-12*j**3 + 16*j
Let n(x) be the first derivative of -8*x**4/3 - x**3/3 - 179*x**2/2 - 52*x - 145. Let s(y) be the first derivative of n(y). Differentiate s(k) wrt k.
-64*k - 2
Let p = 31862 + -15906. What is the second derivative of 20*n**3 - 15956*n**2 + p*n**2 + n + 22 - 2*n**4 - 2*n wrt n?
-24*n**2 + 120*n
Find the second derivative of -1301*m**3 + 1989*m + 177 + 1983*m - 3968*m wrt m.
-7806*m
Let z(u) be the third derivative of 263*u**6/120 - 1153*u**3/6 - 3075*u**2. Differentiate z(b) wrt b.
789*b**2
Let f = 1841/3 - 610. Let q(g) be the first derivative of f*g**3 + 7 + 0*g**2 - 13/5*g**5 + 0*g + 0*g**4. Find the third derivative of q(r) wrt r.
-312*r
What is the third derivative of 2*t**5 + 4*t + 2494*t**4 + 729*t**2 + 229*t**2 - 4306*t**2 - 4*t wrt t?
120*t**2 + 59856*t
Let w(m) = -33*m**2 + 2*m + 18. Let z = 51 - 52. Let u(r) = -r**2 + 1. Let f(t) = z*w(t) - 4*u(t). Find the first derivative of f(l) wrt l.
74*l - 2
Find the first derivative of -219*h + 2850 - 133 - 7*h**4 + 79*h - 73*h wrt h.
-28*h**3 - 213
Let o(t) be the second derivative of t**7/21 + 49*t**6/30 + 13*t**3/6 + 10*t**2 - 6*t + 55. What is the second derivative of o(h) wrt h?
40*h**3 + 588*h**2
What is the third derivative of 1963*c**5 - 4 - 4906*c**5 + 11*c - 110*c**2 - 11*c - 9*c**2 wrt c?
-176580*c**2
Let u(q) be the second derivative of 5*q**8/28 - 2*q**6/5 - 11*q**4/6 - 17*q**3/6 + 872*q. What is the third derivative of u(d) wrt d?
1200*d**3 - 288*d
Let t(v) be the third derivative of -v**6/30 + 51*v**5/20 - 811*v**3/6 - 1376*v**2. What is the derivative of t(p) wrt p?
-12*p**2 + 306*p
Let u(a) be the first derivative of 27/2*a**2 + 1/4*a**4 - 59 + 0*a**3 + 20*a. What is the derivative of u(s) wrt s?
3*s**2 + 27
What is the third derivative of -130*x**4 - 131*x**4 + 6*x**3 - 120*x**4 - 134*x**4 - x**2 + 3150 + 547*x**4 wrt x?
768*x + 36
Let s = -585 - -800. Find the third derivative of s*y**6 + 17278*y**2 - 17134*y**2 - 9*y**6 wrt y.
24720*y**3
Let v(k) = k**3 - 3*k**2 - k + 8. Let b b