5*v + 0 + 1 + 82*v. Let c(n) = -30*n**2 - 17*n + 56. Let y(p) = -c(p) + 6*s(p). What is the first derivative of y(r) wrt r?
60*r - 1
Let a(y) be the second derivative of 1/2*y**3 + 1/4*y**4 + 0*y**2 + 47*y + 0*y**5 - 11/6*y**6 + 0. What is the third derivative of a(z) wrt z?
-1320*z
Let d(t) = -t + 2. Let a(g) = -2780*g + 887. Let q(v) = a(v) - d(v). What is the derivative of q(y) wrt y?
-2779
Let i(g) be the second derivative of 509*g**5/5 - 13*g**4 - 3678*g. What is the third derivative of i(o) wrt o?
12216
Suppose -19*o - 100 = -23*o. Let h = o + -17. Find the first derivative of -34*w + 26 - 14 - h wrt w.
-34
Let u(x) be the first derivative of -8*x**6/5 - 77*x**2/2 + 86*x - 8. Let p(n) be the first derivative of u(n). Differentiate p(j) wrt j.
-192*j**3
Find the second derivative of 3 + 8 + 209*d + 713*d**2 + 204*d - 411*d wrt d.
1426
Let q(w) be the first derivative of -10*w**5 + w**4/4 - 2218*w**3 + 2126. What is the third derivative of q(i) wrt i?
-1200*i + 6
Let r(o) be the second derivative of o**6/15 + o**5/10 + 407*o**3 + 215*o**2 - 815*o + 2. What is the first derivative of r(h) wrt h?
8*h**3 + 6*h**2 + 2442
Suppose 7*a - 18 = 5*a + 2*y, 20 = -4*y. What is the third derivative of -6*h**4 - 5*h**4 - 26*h**5 - 38*h**5 + 5 + 10*h**a + 14*h**2 wrt h?
-3840*h**2 - 24*h
Let i(j) = j**3 - 25*j**2 - 53*j - 25. Let h be i(27). What is the first derivative of -1136*t**2 - t**3 + 1136*t**h + 11 wrt t?
-3*t**2
Let q(y) = 2064*y + 3199. Let o(u) = -2*u + 6. Let v(f) = 6*o(f) - q(f). Differentiate v(h) wrt h.
-2076
Suppose 27*f + 3500 = 2*f + 150*f. Suppose 12 = i - 2. Find the second derivative of -f*s**2 - 2*s - 21*s - i*s wrt s.
-56
Find the first derivative of 1043*j**4 - 2903*j**4 - 5583*j**4 + 5396 + 4141 - 408*j**4 wrt j.
-31404*j**3
Let h(k) = 2*k**3 + 3*k**2 - k + 4. Let t be h(0). What is the derivative of -16*s**4 + 0*s**3 + 166*s**t + 0*s**3 + 29*s**4 - 137 wrt s?
716*s**3
Let y = 167 + -122. Find the third derivative of -24*a**3 + 3*a**3 - 18*a**2 + a**6 - y*a**2 + 15*a**2 wrt a.
120*a**3 - 126
Let y = -34 - -20. Let x = 16 + y. What is the derivative of 2 - 17*g**2 - 1 + x wrt g?
-34*g
Suppose -7*q = -6*q - 49. Let t = 86 - q. Find the third derivative of -15*p**4 + 43*p - 80*p - p**2 + t*p wrt p.
-360*p
Let w = -95 + 83. Let t be (-63)/(-28)*(-80)/w. What is the second derivative of 55*o + 12*o**5 - 6*o - t*o**5 wrt o?
-60*o**3
What is the third derivative of -227*c**2 - 2474 - 2040*c**2 + 2475 + 2498*c**6 wrt c?
299760*c**3
Differentiate -363 - 4*n + 593*n**3 + 1968 + 3732 + 0*n with respect to n.
1779*n**2 - 4
Let t(n) = -2719*n - 6042. Let k(q) = -5402*q - 12082. Let y(d) = -3*k(d) + 5*t(d). Differentiate y(x) wrt x.
2611
Find the third derivative of -d**3 - 167*d**4 - 2*d**3 + 718*d**2 - 7*d - 721*d**2 - 120 - 401*d**4 + 4*d wrt d.
-13632*d - 18
Find the second derivative of -1 - 1079*u**5 - 1968*u**2 - 1959*u**2 - 1132*u + 3927*u**2 wrt u.
-21580*u**3
Let p(l) be the third derivative of -17*l**7/210 + l**6/15 + 149*l**5/20 - 932*l**2. What is the third derivative of p(n) wrt n?
-408*n + 48
Let d(t) be the third derivative of -1903*t**8/168 + t**7/105 - t**4/8 - 583*t**3/6 + 58*t**2 - 8*t + 1. What is the second derivative of d(r) wrt r?
-76120*r**3 + 24*r**2
Suppose -8 = -g + m, -4*g + m - 4*m + 60 = 0. Let o = -9 + g. What is the first derivative of -47*c**3 + 43*c**o + 11 + 4 wrt c?
-12*c**2
Let q(l) be the first derivative of -25*l**2 + 14*l - 74 + 38*l - 2*l. What is the first derivative of q(y) wrt y?
-50
Find the second derivative of -70*u**3 - 2169*u + 21052 - 21052 wrt u.
-420*u
Suppose 339*l = 379*l - 600. Let x(n) be the second derivative of l*n + 13/6*n**3 + 11/2*n**2 + 0. Find the first derivative of x(c) wrt c.
13
Suppose g = 2*d + 1, -2*d - 3*d = -5*g. Let r(b) = b**2 - 25*b + 32. Let y(a) = -a + 2. Let k(m) = d*r(m) + 6*y(m). What is the first derivative of k(h) wrt h?
-2*h + 19
Suppose -6*r = -25 + 1. What is the third derivative of -2*g**2 - 26*g**3 + 61*g**3 - 5*g + 5*g**2 - 17*g**3 + g**r wrt g?
24*g + 108
Let d(m) = 74*m**3 + 2*m**2 - 4*m - 35. Let i(r) = r**3 + r**2 - r. Let j = -466 - -467. Let a(c) = j*d(c) - 2*i(c). What is the first derivative of a(h) wrt h?
216*h**2 - 2
Let i(r) be the second derivative of r**6/15 - 251*r**5/20 + 1745*r**2/2 + 1416*r. What is the derivative of i(y) wrt y?
8*y**3 - 753*y**2
Let v(t) = -271*t**4 - 3*t**3 + 6*t**2 - 1479. Let d(k) = 272*k**4 + 2*k**3 - 6*k**2 + 1477. Let h(g) = 3*d(g) + 2*v(g). Differentiate h(o) with respect to o.
1096*o**3 - 12*o
Let d(a) be the first derivative of 0*a - 1/5*a**5 + 0*a**4 + 0*a**2 - 48 - 22/3*a**3. What is the third derivative of d(z) wrt z?
-24*z
Let j(s) = s**3 - 2*s**2 - 2*s + 3. Let o be j(3). What is the third derivative of 4*d + 8*d**6 - d**4 - 10*d**o - 21*d**6 + 46*d**2 - 6*d wrt d?
-2760*d**3 - 24*d
Let h(o) = 4*o**3 + o**2 - 2*o - 1. Let b(m) = -2113*m**3 + 172*m**2 + 8*m + 9. Let w(f) = -b(f) - 4*h(f). Find the third derivative of w(d) wrt d.
12582
Let n(p) be the first derivative of -61*p**4/4 - 5*p**3/3 - 295*p**2/2 + 492. What is the second derivative of n(r) wrt r?
-366*r - 10
What is the second derivative of 0*w - w + 40 + 2181*w**3 + 5*w - 551*w**3 wrt w?
9780*w
What is the second derivative of -582*t + 1738*t**3 - 3486*t**3 - 87*t**2 + 1740*t**3 wrt t?
-48*t - 174
Let v = 19 - -8. Let m = 33 - v. Differentiate m*z - 3*z - 2 - z - 14 with respect to z.
2
Suppose 0 = 37*m - 33*m - 16. What is the third derivative of -591*h**2 + 2 + 32*h**4 + 48*h**m + 601*h**2 + h**5 wrt h?
60*h**2 + 1920*h
Let w(g) = -g + 1. Let j(k) = 11 + 13*k - 27*k - 23*k - 12*k - k**2. Let f(n) = j(n) - 4*w(n). Find the first derivative of f(a) wrt a.
-2*a - 45
Let q = 11791 + -11789. Let y(s) be the first derivative of -20*s + 21/2*s**q - 17. What is the first derivative of y(j) wrt j?
21
Let z(v) be the first derivative of -25 + 0*v + 25/3*v**3 - 1/5*v**5 + 6/7*v**7 + 0*v**4 + 0*v**2 + 0*v**6. What is the third derivative of z(w) wrt w?
720*w**3 - 24*w
Let d = -13735 + 13741. Let z(o) be the second derivative of 0*o**3 - 19*o + 0 + d*o**2 + 9/10*o**5 + 0*o**4. Differentiate z(q) wrt q.
54*q**2
Suppose 11*x = 6*x - 6*x. Suppose f = -x*f + 14. What is the third derivative of -14*g**4 - f*g**2 + 44*g**4 - 5*g**2 wrt g?
720*g
Find the third derivative of 26*z**3 - 89*z**6 - 26*z**3 + 11*z**4 + 24*z**4 + 2532*z - 256*z + z**2 wrt z.
-10680*z**3 + 840*z
Suppose 0 = 15*f + 4*f - 1748. Let b be (f/(-16) + 2)*-4. What is the derivative of b*q - 5*q - 12 - 2*q - 6*q wrt q?
2
Let x(m) be the third derivative of -49*m**4/8 - 6*m**3 - 5*m**2. Let v(b) = -147*b - 32. Let w(c) = 4*v(c) - 5*x(c). What is the derivative of w(f) wrt f?
147
Let w(z) be the first derivative of -z + 2/3*z**6 + 36 + 0*z**5 + 2*z**2 - 5/3*z**3 + 0*z**4. Find the second derivative of w(r) wrt r.
80*r**3 - 10
Let i(f) be the second derivative of -f**5/10 + 109*f**4/12 + 119*f**3/6 + f**2 - 9*f - 7. Find the second derivative of i(n) wrt n.
-12*n + 218
What is the second derivative of -6630*f - 3496*f - 3488*f + 2940*f**2 - 2164*f**2 - 12652*f**2 wrt f?
-23752
Let c(m) be the second derivative of -m**5/20 + 11*m**4/4 + m**3/3 - 2925*m**2 + m + 400. Find the first derivative of c(n) wrt n.
-3*n**2 + 66*n + 2
Let f be 12/15*45/18. Suppose 3*s = -f*n + 14, -s + 25 = -4*n + 11. Find the second derivative of 4*h + 2*h + 2*h**4 - 5*h + s*h wrt h.
24*h**2
Find the second derivative of 2159*g + 2454*g - 274*g + 4184*g**2 wrt g.
8368
Suppose -c - 13*i + 10*i + 35 = 0, 4*i + 12 = 0. What is the third derivative of 58 - 58 - 8*h**6 + 119*h**2 + c*h**2 + 48*h**6 wrt h?
4800*h**3
Suppose 3*d - 5*d + 58 = 0. Suppose -15*q + 36 = -39. Find the second derivative of -9*l**5 - d*l + 4*l**5 + 27*l**q wrt l.
440*l**3
Find the third derivative of 4*o**4 - 2*o**4 + 4413013*o**2 - 371*o**3 - 4414510*o**2 - 2 wrt o.
48*o - 2226
Let b(u) be the second derivative of 47*u + 0*u**2 + 99/20*u**5 + 0 - 33/4*u**4 + 0*u**3. What is the third derivative of b(z) wrt z?
594
Suppose 56*o = 46*o + 50. What is the second derivative of 29*h - 21*h**3 - 53*h**o + 18*h**5 + 38*h**5 wrt h?
60*h**3 - 126*h
Let f(o) be the second derivative of -1019*o**5/20 - 1283*o**2/2 - 2505*o. Differentiate f(q) with respect to q.
-3057