4. Let j(t) = 11*t**2 + 37*t + 3369. Let x(z) = 2*f(z) - 15*j(z). Differentiate x(b) wrt b.
-10*b - 35
Let s(n) be the first derivative of 103*n**6/2 - n**4/2 - 526*n**3/3 - 1491. What is the third derivative of s(h) wrt h?
18540*h**2 - 12
Suppose 0 = -q + 4*b + 2 + 139, 2*b = -5*q + 793. Let o = 260 - q. Find the second derivative of -13*i**5 + 0*i**5 - 113*i + o*i wrt i.
-260*i**3
Differentiate -2187 - 64*t + 1205*t + 3264 wrt t.
1141
Suppose 3 = c, -4*v + c + 66 = -v. What is the derivative of 0 + 29*o - 34 + v*o - 17*o wrt o?
35
Let j(i) be the first derivative of 61*i**5/120 - 13*i**4/8 - 22*i**3/3 - 13. Let c(r) be the third derivative of j(r). Find the first derivative of c(s) wrt s.
61
Let g(x) be the first derivative of -1/2*x**2 - 33 + 0*x**3 + 15/4*x**4 + 9*x. What is the second derivative of g(i) wrt i?
90*i
Suppose 1 + 271 = 4*o. Let q = o - 65. Differentiate -12 - 6 - 8*i + q wrt i.
-8
Let d(a) be the second derivative of 295*a**8/28 - a**4/6 + 647*a**2/2 - 698*a. What is the third derivative of d(b) wrt b?
70800*b**3
Let k(b) = 2*b**2 + 18*b - 16. Let a be k(-10). What is the third derivative of 70 + 11*u**2 - 5*u**4 - 13*u**2 + 2*u**3 + 48*u**a wrt u?
1032*u + 12
Let b(r) = 15 + 26 + 30*r - 12. Let y be b(9). Find the first derivative of y*w + 7 + 5*w**2 - 299*w wrt w.
10*w
Let j(k) = -184*k**2 + 6542*k + 102. Let f(g) = -61*g**2 + 2181*g + 36. Let c(q) = 17*f(q) - 6*j(q). Find the second derivative of c(a) wrt a.
134
Find the second derivative of 1483*w**2 - 656*w + 563*w - 2745*w wrt w.
2966
Let l(r) be the second derivative of -407*r**5/10 - r**4/2 - 2510*r**3/3 - 9212*r. What is the second derivative of l(m) wrt m?
-4884*m - 12
Let d(l) = l**2 - 2*l + 6. Let i be d(4). Suppose 15 = i*a - 13. Find the first derivative of -12*t**2 - 37 + 4*t**2 - 11*t**a wrt t.
-38*t
Let s(a) = 6*a + 40066. Let x be s(0). What is the second derivative of x*h**3 - 8 - 40066*h**3 - 4*h**2 - 2*h**2 + 6*h**4 - h**2 + 2*h wrt h?
72*h**2 - 14
Find the first derivative of -4496 + 219684*w**3 + 221057*w**3 - 439901*w**3 wrt w.
2520*w**2
Let r = -158 - -480. What is the second derivative of -128 + 8*l**3 + 2*l - l**2 + r - 90 wrt l?
48*l - 2
What is the third derivative of -1261*p**6 + 209 + 1994*p**2 - 1845*p**2 - 207 wrt p?
-151320*p**3
Suppose -2*h + 4*n + 100 = 0, -h = 2*n - 6 - 44. Let k = h - 43. What is the second derivative of -175*m**2 + 38*m + k*m + 215*m**2 wrt m?
80
Let s(w) = -7*w + 71. Let f be s(9). Differentiate -f*r**4 + 5*r**4 - 67 - 29*r**4 + 19 wrt r.
-128*r**3
Suppose 4*n + 5*g = 268, g + 4*g = 0. Differentiate n*i - 1 - 21 - 2*i wrt i.
65
Suppose 7 = 4*v - 3*w, -3*v + 21 = -0*v + 3*w. What is the second derivative of -3*o - 51*o**3 + 1 + v*o - 11*o - 8*o wrt o?
-306*o
Let m(f) = -64*f**2 - 75*f + 1. Suppose 66 = 17*a + 15. Let j(l) = -65*l**2 - 77*l + 2. Let o(z) = a*m(z) - 2*j(z). Find the second derivative of o(v) wrt v.
-124
Suppose 16 = 3*l + 1. What is the second derivative of 6*t**5 - 19*t**5 - 62*t - 44*t**l wrt t?
-1140*t**3
Let c(v) be the third derivative of -v**8/168 + 253*v**7/105 - v**5/30 - 311*v**3/2 - 20*v**2 + 16. Find the third derivative of c(g) wrt g.
-120*g**2 + 12144*g
Let v(c) be the first derivative of -1413*c**6/2 - 3189*c**2/2 + 1132. Find the second derivative of v(i) wrt i.
-84780*i**3
Let i(g) = -18*g**3 + 5*g**2 + 5*g + 4315. Let z(h) = h**2 + h - 3. Let n(b) = i(b) - 6*z(b). Differentiate n(k) with respect to k.
-54*k**2 - 2*k - 1
What is the third derivative of -z**4 - 60030*z**5 + 2390*z**6 + z**4 + 60030*z**5 + 199*z**2 wrt z?
286800*z**3
Let g = 74 + -71. What is the third derivative of 2*b**4 - 77*b**g - 34*b**3 + 4*b**2 + 0*b**4 + 75*b**3 wrt b?
48*b - 216
Suppose 3*s = -x + 8, -3*x + 0*x + 8 = s. Find the second derivative of 3 + x*t**2 - 227*t - 2*t**2 + 17*t**3 + 219*t wrt t.
102*t
Suppose -2*q - t = -73, 3*q - 7*t = -2*t + 90. Let g = 45 - q. What is the second derivative of 7*s**4 + 9*s**4 - 4*s + g*s wrt s?
192*s**2
Let j(h) be the second derivative of 599*h**5/4 - 163*h**3/6 + 23*h**2/2 - h + 3908. Find the second derivative of j(c) wrt c.
17970*c
What is the first derivative of 43*l**4 - 128 + 792 - 103*l - 111*l + 214*l + 22*l**2 wrt l?
172*l**3 + 44*l
Let p(v) = 1671*v + 712. Let l(g) = 1671*g + 698. Let k(m) = -3*l(m) + 2*p(m). What is the first derivative of k(s) wrt s?
-1671
Let f(p) = 149*p**4 - 13*p**3 - 23. Let n(t) = 25 + 6*t**3 - 2 - 74*t**4 - 12. Let s(m) = -6*f(m) - 13*n(m). Differentiate s(d) wrt d.
272*d**3
Let r(q) be the first derivative of -q**7/7 - 36*q**4 + 247*q**3/3 - 1153. What is the third derivative of r(l) wrt l?
-120*l**3 - 864
Let d(h) be the second derivative of -4649*h**7/42 + 3931*h**3/3 - 5911*h. Find the second derivative of d(j) wrt j.
-92980*j**3
Let n = -13 + 8. Let h(c) = 16*c - 57. Let a(z) = -32*z + 113. Let u(b) = n*h(b) - 2*a(b). Find the first derivative of u(t) wrt t.
-16
Let o = 197 - 185. Suppose -n + 50 = 3*q, 2*n + 0*n - 55 = -3*q. Differentiate q - 4*z - 14*z - o with respect to z.
-18
Let w(k) be the first derivative of -22*k**2 + 57 + 3/4*k**4 + 8/3*k**3 + 0*k. What is the second derivative of w(q) wrt q?
18*q + 16
Let j(t) be the first derivative of -147/2*t**2 - 72 - 130*t. What is the first derivative of j(u) wrt u?
-147
Suppose -74 = -2*g - 70. Differentiate 61 - 11*l**g + 7*l - 8*l - 58 wrt l.
-22*l - 1
Suppose -2*k - 125 = -145. Differentiate 63 - 13*l - k*l + 63*l**4 + 23*l wrt l.
252*l**3
Let v = -935 + 1036. What is the derivative of -130*l**4 - 51 + 151 + v wrt l?
-520*l**3
Suppose -4*n = -4*p - 20, 2*p + 16 = 2*n - 2*p. Find the second derivative of -15*z**3 - 31*z**3 + 9*z**3 - z + n*z**3 wrt z.
-210*z
Let r(t) = -212*t**4 - 384*t**2 - 2*t + 1. Let j(y) = -y**5 - y**4 - 2*y**2 - 2*y + 1. Let i(p) = -j(p) + r(p). What is the third derivative of i(u) wrt u?
60*u**2 - 5064*u
Let a = 5572 - 874. Differentiate -109 + 4696*k**4 + 37 - 24*k - 17*k - a*k**4 wrt k.
-8*k**3 - 41
Find the second derivative of -t - 584*t**3 - 1129*t**3 - 1116*t**3 + 450 - 477*t**3 - 1 wrt t.
-19836*t
Let o(s) be the first derivative of -2/3*s**3 + 34*s**4 + 0*s + 26*s**2 + 185. What is the third derivative of o(t) wrt t?
816
Let t(o) = 1104*o**3 - 9*o**2 + 59. Let h(g) = -3*g**3 + 1. Let b(k) = 4*h(k) - t(k). What is the third derivative of b(i) wrt i?
-6696
Let k(t) be the third derivative of 0*t**5 - 29/120*t**6 + 0*t**3 + 0 - 59*t**2 + 0*t - 167/24*t**4. What is the second derivative of k(u) wrt u?
-174*u
Suppose 0 = -18*v + 15*v + 9. What is the second derivative of -15*x + 33*x**v + 2 + 5*x + 32*x**3 - 82*x**3 wrt x?
-102*x
Let w(g) be the first derivative of g**5/5 + g**4/2 - 13*g**3/3 + 5624*g + 10035. Find the first derivative of w(x) wrt x.
4*x**3 + 6*x**2 - 26*x
Let t(l) be the first derivative of 718*l**3 - l**2/2 + 256*l - 2331. Find the second derivative of t(h) wrt h.
4308
Suppose -3 - 17 = 4*r, -4*p - 5*r = 21. Let t be 7*p + 6 + 5/(-1). What is the third derivative of 0*s**5 + t*s**2 + 2*s**5 - 5*s**2 wrt s?
120*s**2
Let h(a) = 5*a**4 - a**3 + 432*a**2 + 366. Let w(u) = -2*u**4 + u**3 + 4*u**2 + 2. Let x(j) = h(j) + w(j). Find the first derivative of x(t) wrt t.
12*t**3 + 872*t
Let a(j) = -1073*j + 2204. Let x(p) = 13947*p - 28656. Let u(r) = -27*a(r) - 2*x(r). What is the first derivative of u(z) wrt z?
1077
Suppose -96 = 2*h + 2*g, -2*h + g = 2*h + 207. Let u = h - -89. Find the third derivative of 53*v**2 + 2 + 23*v**4 - 2 - u*v**2 wrt v.
552*v
Suppose -2*c + 4 = 0, 4*q = -2*c + 14 + 2. What is the first derivative of 4*h**2 + 2*h**q + 35404*h - 141 - 35404*h wrt h?
6*h**2 + 8*h
Let d(h) be the second derivative of -72*h**6/5 + 1227*h**2/2 - 27*h + 14. Differentiate d(u) with respect to u.
-1728*u**3
Let j(l) = 16*l + 95. Let k(t) be the first derivative of -25*t**2 - 287*t - 86. Let p(d) = 7*j(d) + 2*k(d). Find the first derivative of p(i) wrt i.
12
Let p(j) be the second derivative of 5801*j**7/21 - 130*j**4/3 - j**2 - 1356*j - 3. Find the third derivative of p(u) wrt u.
696120*u**2
Find the second derivative of -63*v**2 - 2*v**5 - 9695*v + 4685434 - 4685434 - 26*v**3 wrt v.
-40*v**3 - 156*v - 126
What is the second derivative of -2756*t**5 + 7787*t - 402*t**5 - 5760*t**5 wrt t?
-178360*t**3
Let c(z) = -z**2 - 9*z + 2. Let u = -