Let k = -1/860 + 11/215. Let i(p) be the second derivative of -4*p + 0*p**2 + k*p**5 - 1/6*p**4 + 0 + 0*p**3. What is the third derivative of i(v) wrt v?
6
Let b(x) = -479*x**3 - 115*x**2 + 5*x + 15. Let l(g) = 479*g**3 + 114*g**2 - 4*g - 12. Let j(k) = 4*b(k) + 5*l(k). Find the third derivative of j(n) wrt n.
2874
Let g(l) = 11002*l + 4562. Let r(s) = 3668*s + 1525. Let f(a) = 6*g(a) - 19*r(a). What is the first derivative of f(v) wrt v?
-3680
Let g(x) be the second derivative of -2/3*x**3 - 2 - 5*x**5 + 53*x + 1/6*x**4 + 0*x**2. What is the third derivative of g(a) wrt a?
-600
Let x(n) = 56*n + 38. Let k(y) = -34 - 82*y - 9 + 26*y + 5. Let p(a) = 2*k(a) + 3*x(a). What is the derivative of p(j) wrt j?
56
Let x(s) be the third derivative of -s**8/168 - 13*s**7/210 + 11*s**6/60 - 2059*s**5/20 - 7*s**2 + 64*s. Find the third derivative of x(m) wrt m.
-120*m**2 - 312*m + 132
Let f(t) be the first derivative of 3245*t**3/3 - 4154*t + 1480. Differentiate f(q) with respect to q.
6490*q
What is the third derivative of 3580*r**5 + 59*r**2 - r**6 + 184*r**2 - 133*r**4 - 3580*r**5 wrt r?
-120*r**3 - 3192*r
Let x be 24/(-32)*(-6 + 2). Suppose -x*a + 12 = 0, -2*h + 15 + 3 = 2*a. Find the second derivative of 4*s**5 + 9*s - 26*s + 11*s + 3*s**h wrt s.
140*s**3
Let m(o) be the second derivative of 5*o**4/2 - 7*o**3/6 + 598*o**2 - 3663*o. Differentiate m(x) wrt x.
60*x - 7
Let j be (-35)/(-3) - 8/12. Suppose 3*t + j - 35 = 0. Differentiate f**4 + 3 + t + 3 - 4*f**4 wrt f.
-12*f**3
Let b(y) be the second derivative of -y**5/10 - 2225*y**3/2 + 6145*y**2/2 - 3437*y + 2. Find the first derivative of b(m) wrt m.
-6*m**2 - 6675
Let l(s) = s**2 + s - 1. Let k(y) = -y**2 - 32*y - 146. Let f be (21 + -20)/(1/(-3)). Let w(t) = f*l(t) - k(t). What is the first derivative of w(g) wrt g?
-4*g + 29
Suppose -57*t + 120 = -17*t. Find the third derivative of 10*k**5 + 314 - 610 - 7*k**t - 9*k**2 + 300 wrt k.
600*k**2 - 42
Suppose 3*c = -5*w - 54, 3*c + 36 = -4*w + w. Let g(n) = -n**2 - 7*n + 21. Let v be g(w). Differentiate 482*y**3 - 4*y**4 - 9 + v - 482*y**3 with respect to y.
-16*y**3
Let k(w) be the second derivative of 212*w**5/5 - 235*w**4/3 - 9*w - 216. What is the third derivative of k(a) wrt a?
5088
Let g(o) = o**3 - 35*o**2 + 6*o - 102. Let b be g(35). What is the third derivative of -737*k**4 - 2*k + b*k**5 + 1476*k**4 - 739*k**4 + 26*k**2 wrt k?
6480*k**2
Let x(n) be the second derivative of -n**6/30 + 139*n**5/10 - 43*n**4/6 + 5*n**3/6 - n - 121. What is the third derivative of x(j) wrt j?
-24*j + 1668
What is the first derivative of -10*k**3 + 228*k + 4*k**3 - 1234*k - 228 + 5*k**3 + 2*k**3 wrt k?
3*k**2 - 1006
Let t(v) be the second derivative of v**4/12 + 8*v**3/3 + 2*v. Let l be t(-17). Find the second derivative of -i**5 - 47 - l*i + 16*i**4 + 47 wrt i.
-20*i**3 + 192*i**2
What is the derivative of -11*c**4 - 1856 + 1050 - 68*c - 3223 wrt c?
-44*c**3 - 68
What is the third derivative of 109*g**2 - 654*g**2 - 9*g**3 + 5091*g**2 - 246*g**6 - g**5 + 9*g**3 wrt g?
-29520*g**3 - 60*g**2
What is the first derivative of -516*s**2 - 3*s**4 + 954 + 568 - 343 + 197*s**2 + 240*s**2 wrt s?
-12*s**3 - 158*s
Let q(h) = -666*h**3 - h**2 - 17*h - 1821. Let k(c) = 1333*c**3 + 2*c**2 + 30*c + 3644. Let g(x) = -5*k(x) - 9*q(x). Differentiate g(m) wrt m.
-2013*m**2 - 2*m + 3
Let o(d) be the third derivative of 0 + 0*d**5 + 0*d**4 + 0*d**6 + 2/21*d**7 - 39*d**2 + 0*d + 40/3*d**3. Find the first derivative of o(y) wrt y.
80*y**3
Let c(z) = 22852*z**2 + 580*z - 125425. Let q(v) = 476*v**2 + 12*v - 2613. Let n(r) = 3*c(r) - 145*q(r). Differentiate n(g) with respect to g.
-928*g
Suppose 4*z + p = 5*p - 28, z = -3*p - 23. Let u(j) = -j - 1. Let i be u(z). Differentiate -i + 14*l**2 - 10*l**2 + 9*l**3 - 4*l**2 wrt l.
27*l**2
Suppose -4*t = 0, 2*t - 2 = -3*c + 4. Let x be (11/2 - 0) + (-1)/c. What is the second derivative of -13*i**x - 4*i - 3*i - 4*i wrt i?
-260*i**3
Let g(h) = 2930*h**3 + 35*h**2 + 42*h - 15. Let r(w) = -5*w**2 + 2. Let p(a) = g(a) + 7*r(a). What is the second derivative of p(t) wrt t?
17580*t
Find the third derivative of -2*j - 206 + 3*j**2 + 655 - 9851*j**3 - 214 wrt j.
-59106
What is the third derivative of 1706*l**2 + 4132*l**6 + 2912*l**2 - 652*l**2 wrt l?
495840*l**3
Find the second derivative of -5*o - 139 - 16*o + 144 - 8*o - 818*o**4 wrt o.
-9816*o**2
Let i = 1403 - 543. What is the second derivative of -i*k**3 + 0*k**2 + 2*k**2 - 21*k + 859*k**3 wrt k?
-6*k + 4
Let b(c) = -1086*c + 477. Let q(f) = 10860*f - 4794. Let g(x) = 21*b(x) + 2*q(x). What is the first derivative of g(j) wrt j?
-1086
Suppose -2305 + 105 = -20*t. Find the third derivative of 4*h**2 + 112*h**3 + t*h**3 - 247*h**3 + 46*h**2 wrt h.
-150
Let x(z) be the second derivative of -z**7/21 - 443*z**6/30 + 17*z**4/4 - 25*z**3/6 + 1207*z + 2. Find the third derivative of x(w) wrt w.
-120*w**2 - 10632*w
Let v(t) = t**2 - 3*t - 13. Let b be v(6). Suppose 7*m - 30 - 5 = 0. What is the third derivative of -8*c**2 + 2*c**b + 2*c**m + 4*c**2 wrt c?
240*c**2
Let w(s) be the first derivative of 4699*s**5/5 + s**4/4 + 1088*s**3 - s + 1975. What is the third derivative of w(r) wrt r?
112776*r + 6
Let u(a) be the second derivative of -169*a**6/2 + 1735*a**2 - 3*a - 389. Find the first derivative of u(p) wrt p.
-10140*p**3
Let v be 10*(-3 + 10) + 0 + 5. What is the second derivative of 91*a + 3*a + v*a - 36*a**4 wrt a?
-432*a**2
Let n(f) = 185*f**4 - 2179*f**2 + 8*f - 8. Let y(d) = -184*d**4 + 2181*d**2 - 7*d + 7. Let b(o) = -7*n(o) - 8*y(o). Find the third derivative of b(t) wrt t.
4248*t
Find the second derivative of 400*p**2 + 786*p - 392*p + 1034*p + 456*p - 377*p wrt p.
800
Let q(u) be the first derivative of -8*u**3/3 - 43*u**2 - 1151*u - 1341. What is the first derivative of q(g) wrt g?
-16*g - 86
Let j(w) be the second derivative of w**8/56 - 1323*w**5/20 - 11*w**4/12 + 4*w**2 + w - 939. Find the third derivative of j(p) wrt p.
120*p**3 - 7938
Let h(j) = 14*j + 1. Let k(y) = 16*y - 14317 + 14317. Let v(x) = 5*h(x) - 4*k(x). Find the first derivative of v(i) wrt i.
6
Let y(u) = -1265*u**3 - 8*u + 3841. Let f(h) = 316*h**3 + 2*h - 960. Let k(i) = -9*f(i) - 2*y(i). What is the first derivative of k(o) wrt o?
-942*o**2 - 2
Let l(u) be the second derivative of -2089*u**6/30 - 137*u**4/2 - 11615*u. Find the third derivative of l(f) wrt f.
-50136*f
Let c(z) = 12*z**2 + 4*z. Let i be c(-1). What is the second derivative of -i*n**2 - 12*n**2 - 32*n**2 + 59*n wrt n?
-104
Let s(b) be the first derivative of -2217*b**4/4 + 3*b**3 + 48*b**2 - 737. What is the third derivative of s(k) wrt k?
-13302
Find the second derivative of -8171*s - 98*s**3 - 14*s**2 - 8685*s + 3 + 18046*s wrt s.
-588*s - 28
Let u(m) = 6*m + 2. Let v(o) = -1053*o - 210. Let h(s) = -6*u(s) - 3*v(s). What is the derivative of h(g) wrt g?
3123
Suppose -a + 7 = 2*o, 3*a + o + 7 = 4*a. Let z be -3 - (-1)/((14/16)/a). What is the third derivative of -5*n**2 - 13*n**6 + z*n**2 - 9*n**2 + 0*n**2 wrt n?
-1560*n**3
Let q(b) be the first derivative of 271*b**2 + 922*b - 542. What is the first derivative of q(g) wrt g?
542
Suppose -2*k - 132 - 12 = 0. Let m = 75 + k. Differentiate 132*c**3 - 137*c**m - 8 - 19 wrt c.
-15*c**2
What is the second derivative of 3*u**3 + 953*u**4 - 4771*u - u**3 - 2*u**3 + 2496*u wrt u?
11436*u**2
Differentiate 61 + 141 + 371 + 218 - 1212*c + 108 with respect to c.
-1212
Suppose -3*y - 9 - 1 = -2*x, -y = -2*x + 10. What is the third derivative of -5 + 780*c**3 - 780*c**3 - 7*c**2 - 4*c**6 + y*c**5 - 2*c**5 wrt c?
-480*c**3 - 120*c**2
Let r(l) be the first derivative of 513*l**3 + 4138*l + 3615. What is the derivative of r(q) wrt q?
3078*q
Let c(s) be the first derivative of 89/5*s**5 - 77 + 0*s**4 + 0*s**2 - 26*s + 0*s**3. Find the first derivative of c(g) wrt g.
356*g**3
Let a(w) = 1585*w**3 + 11*w**2 - 88*w - 3895. Let o(t) = 317*t**3 + 2*t**2 - 16*t - 779. Let c(g) = -2*a(g) + 11*o(g). Find the first derivative of c(d) wrt d.
951*d**2
Let b(s) = 93*s**3 + 3*s + 1963. Let z(r) = 97*r**3 + 2*r**2 + 2*r + 1964. Let p(v) = 2*b(v) - 3*z(v). Find the first derivative of p(h) wrt h.
-315*h**2 - 12*h
What is the second derivative of -1851*p**4 + 1662 + 5*p**3 + 7*p**2 + 1284*p**4 - 6*p**3 + 2*p**2 - 7*p**2 - 3*p wrt p?
-6804*