918*i**3 + 62*i**4 - 155917*i**3 + 121*i**4 + 2*i**2 wrt i.
4392*i + 6
Let w be 91/21*((-12)/(-3) - 1). What is the third derivative of 47*t**4 + t**3 + 3 + 30*t + 15*t**2 - 9*t - 8*t - w*t wrt t?
1128*t + 6
Suppose 3*n = -5*x + 24, 3*x + 7 = 2*n - 28. Differentiate -23*o - n*o - 21*o + 34*o + 2*o**3 + 89 wrt o.
6*o**2 - 23
Let v(q) = -19*q - 10. Let n be v(4). Let x = n - -100. Find the third derivative of -4*o**2 + 13*o**2 - x*o**5 + 18*o**5 wrt o.
240*o**2
Let q(o) = 3*o + 11. Let y be q(-2). Let u(w) = 84*w - 62. Let f(m) = -82*m + 62. Let n(a) = y*u(a) + 4*f(a). Differentiate n(h) wrt h.
92
Let l(o) be the third derivative of -o**9/84 - 3*o**7/10 + o**5/60 + o**4/12 - 37*o**3/2 + 13*o**2 - 27*o - 4. What is the third derivative of l(w) wrt w?
-720*w**3 - 1512*w
Let z(h) be the third derivative of -39*h**5 + 1411*h**3/6 + 5*h**2 - 71. Find the first derivative of z(n) wrt n.
-4680*n
Find the second derivative of -97*s + 227*s**2 + 27*s + 33*s + 2815 + 1267*s**2 + 35*s wrt s.
2988
Let x = 86 - 22. Let m be 4 + 24 - (-2 + 11). Differentiate x + 4*o**4 - 69 - m*o**4 with respect to o.
-60*o**3
Let i(n) = -n**2 + 16*n + 109. Let a be i(21). Find the second derivative of a*z - 4*z**2 + 11 + 38*z**3 + 5*z**2 - 2*z**2 - 43*z**3 wrt z.
-30*z - 2
Let y(r) = 12006*r**2 - 69*r + 4178. Let a(z) = 8004*z**2 - 43*z + 2786. Let q(k) = 8*a(k) - 5*y(k). What is the second derivative of q(c) wrt c?
8004
Let z be (4 - 1)/((-12)/80*-5). Find the second derivative of -100*f**3 + 7*f - z*f + 67*f**3 wrt f.
-198*f
Let b(r) be the second derivative of 53*r**5/20 + 2*r**3/3 - 199*r**2 - 2165*r. What is the derivative of b(x) wrt x?
159*x**2 + 4
Let v be 24/(-64) - 1290/16. Let x = v - -83. What is the third derivative of -10*l**5 - 6*l**2 - 16*l**2 - 2*l**5 + 5*l**x wrt l?
-720*l**2
Let k(b) = -3*b**2 - 3*b**2 + 5 + 2*b**2 + 6*b**3. Let d be k(2). Differentiate -18 - 6 - 6 + d*u with respect to u.
37
Let p(s) = -5*s**2 + 2*s + 3. Let y be p(-1). Let u be 1 - 9*(y - -3). Find the first derivative of 18 - 4*v - u*v + 12*v wrt v.
-2
Suppose -7*u + 6 = -5*u. Suppose -34 = -4*b + 2*m, 8*b - 38 = u*b + 4*m. Find the third derivative of -2*o**2 + 37*o**3 + 3*o**2 + 6*o**2 - b*o**2 wrt o.
222
Let q(d) be the first derivative of d**7/7 - 31*d**3/6 - 6*d**2 + 38. Let g(b) be the second derivative of q(b). What is the derivative of g(x) wrt x?
120*x**3
Suppose j - 1087 = -4*s, -3*s - j - 173 = -987. Find the third derivative of -4*h + 12*h**2 + 156*h**5 + 2*h - s*h**5 wrt h.
-7020*h**2
Let a(q) = q**2 + 41*q + 43. Let g be a(-40). Find the third derivative of 3*d**g - 3*d**3 - 65534*d**2 + 65399*d**2 - 35*d**6 wrt d.
-4200*d**3
Let i(g) be the first derivative of 2401*g**6/6 - 2173*g**3/3 - 180. Find the third derivative of i(h) wrt h.
144060*h**2
Suppose -3 + 18 = -5*q - 5*p, -q - 3*p = 7. Let z be ((2*-10)/q)/2. Find the second derivative of -19 + 23*g - z*g**5 - 21 + 40 wrt g.
-200*g**3
Let f = 10877/10 + -1087. Let h(i) be the second derivative of -f*i**5 + 0 + 0*i**4 - 12*i + 0*i**2 + 7/3*i**3. Find the second derivative of h(d) wrt d.
-84*d
Let v be (-104)/78*306/(-8). Find the second derivative of 6*d**3 + v*d**5 - 113*d**5 - 78*d + 54*d**5 + 6*d wrt d.
-160*d**3 + 36*d
Let r be 285/10*(-8)/(-6). What is the third derivative of -664*l**3 - 661*l**3 + 1320*l**3 + r*l**2 + 5*l**4 wrt l?
120*l - 30
Let t(n) = 6*n + 19. Let m be t(-4). Let l = m + 11. What is the third derivative of -5*p**2 + 7*p**6 + 28*p**2 - 4*p**2 + 5*p**l wrt p?
1440*p**3
Let r(s) = -5*s**2 + 47. Let a = -352 + 347. Let o(t) = -10*t**2 + t + 93. Let z(m) = a*r(m) + 2*o(m). Differentiate z(k) with respect to k.
10*k + 2
Let k = 149 + -146. Differentiate 38*y**3 + 16 + 12*y**3 - 18*y**k wrt y.
96*y**2
Let q(s) = -13*s**2 - 13*s + 9. Let b = 5 - 11. Let i(o) = 7*o**2 + 6*o - 4. Suppose 3*y = -2*y - 65. Let f(j) = b*q(j) + y*i(j). Differentiate f(g) wrt g.
-26*g
Let z be 88/12 + (-2)/(-3). What is the third derivative of z*j**5 + 15*j**5 + 43*j**2 - 82*j**3 + 81*j**3 - j**5 wrt j?
1320*j**2 - 6
Let b(m) be the third derivative of -45*m**7/7 - m**6/120 + 1911*m**4/8 + 7334*m**2. What is the second derivative of b(h) wrt h?
-16200*h**2 - 6*h
Let y = 47 + -27. Let s = 27 - y. What is the second derivative of s*w**2 + 6*w**3 - 7*w**2 + 16*w wrt w?
36*w
Let t(i) = -23*i - 125. Let h = 463 - 460. Let c(q) = -2*q + 2. Let f(s) = h*c(s) + t(s). Differentiate f(p) with respect to p.
-29
Find the first derivative of -2858 - 95*a**2 + 52*a**2 + 44*a**2 - 4217 + 3151*a**4 wrt a.
12604*a**3 + 2*a
Suppose 130 = 16*c - 206. Suppose -6*n = -7*n + c. What is the second derivative of 16*w + 44 - n*w**3 - 44 wrt w?
-126*w
Let c(k) be the third derivative of 0*k**4 + 3 - 31/6*k**3 + 19/30*k**5 + 9*k**2 + 0*k. What is the first derivative of c(i) wrt i?
76*i
Let b = -39336 - -39339. Let k(r) be the second derivative of -1/3*r**b + 18 - 11/6*r**4 - 7/2*r**2 + 2*r. Differentiate k(n) with respect to n.
-44*n - 2
Differentiate 366 - 2229 - 597 - 1207 + 8166*a with respect to a.
8166
Let c(z) be the third derivative of -z**9/504 + 349*z**6/120 + 541*z**5/60 + 144*z**2. What is the third derivative of c(s) wrt s?
-120*s**3 + 2094
Suppose 5*n - 3*n - 17 = -5*i, 2*i = -5*n + 11. What is the third derivative of -8*m**2 + m**3 + 32*m**5 + 4 + 11*m**i - 12*m**3 wrt m?
1920*m**2
What is the second derivative of 22109*n + 5*n**2 - 12556*n - 387*n**3 - 11256*n wrt n?
-2322*n + 10
Find the third derivative of -27 - 2*u**3 - 54 + 3536*u**4 + 25 - 1424*u**4 + 34*u**2 wrt u.
50688*u - 12
Let m(r) be the third derivative of 13*r**4/4 - 91*r**3/2 + r**2 + 138. Differentiate m(o) with respect to o.
78
Let g(w) = -1026*w**2 - 3*w + 479. Let u(z) = 2045*z**2 + 5*z - 957. Let d(l) = 5*g(l) + 3*u(l). What is the derivative of d(y) wrt y?
2010*y
What is the derivative of y**2 - 6*y**2 - 2*y**2 + 752 - 4889 - 1154*y + 840*y wrt y?
-14*y - 314
Let b(s) = -5291*s**4 + 16*s**2 - 107*s. Let j(y) = 26460*y**4 - 82*y**2 + 535*y. Let h(u) = 11*b(u) + 2*j(u). What is the third derivative of h(t) wrt t?
-126744*t
Suppose -x + 2*k - 4*k + 4 = 0, -4*k = 0. Suppose 3*s - 7 = -x*s. Differentiate 19 + s - 3*j + 3*j + 6*j**4 wrt j.
24*j**3
Let a(v) = -26278*v**2 - 24251*v + 114. Let o(m) = -5254*m**2 - 4850*m + 24. Let f(j) = 4*a(j) - 19*o(j). What is the second derivative of f(d) wrt d?
-10572
Let v be (-54)/(-14) - (3/(-21) + 0). Find the second derivative of 118 + 4*d - 67 - 59 + 61*d**v wrt d.
732*d**2
Let p = 329 - 184. Find the first derivative of -228 - p*m + 305 + 8*m wrt m.
-137
What is the third derivative of 61*q**6 + 803*q**6 - 13*q - 15845 - 2*q**2 + 15820 + 10*q + 403*q**6 wrt q?
152040*q**3
Let m = 3999 - 3999. Let g(c) be the first derivative of 0*c**5 + 0*c**3 + 4 + c**2 + 0*c**4 - 1/2*c**6 + m*c. What is the second derivative of g(i) wrt i?
-60*i**3
Let y(w) be the first derivative of 0*w**6 + 21*w**7 - 169 + 0*w**5 + 13/3*w**3 + 0*w**2 + 0*w**4 - 4*w. What is the third derivative of y(i) wrt i?
17640*i**3
Suppose 3*f + 3*w + w = 33, 4*w = -f + 19. Let z be (f - 1)/(-5*(-14)/35). Find the third derivative of -7*i**5 + 215*i**z + 16*i**2 - 215*i**3 wrt i.
-420*i**2
Let f(c) be the first derivative of 206*c**5 - c**4/4 + 100*c**2 - 4*c - 2620. What is the second derivative of f(m) wrt m?
12360*m**2 - 6*m
Let q(z) be the first derivative of z**6/24 + 67*z**3/6 - 5*z**2 - 73. Let s(o) be the second derivative of q(o). What is the first derivative of s(p) wrt p?
15*p**2
Let m be 183*(14/(-3))/(-14). Find the second derivative of -8*d + 10*d + 45 + 387*d**2 - 130*d**2 + m wrt d.
514
Find the second derivative of 3*w - 25*w + 15*w + 15*w + 25 - 986*w**5 wrt w.
-19720*w**3
Let c(r) be the second derivative of -1087*r**5/5 + r**4/6 - 244*r**2 + 105*r. Find the third derivative of c(u) wrt u.
-26088
Let t(y) = -13*y - 8. Let h(m) = -40*m - 24. Let l = -6 - -16. Suppose 6*v - l*v = 12. Let g(x) = v*h(x) + 10*t(x). Find the first derivative of g(i) wrt i.
-10
Let l be (-558)/(-8) - 1/(-4). Let x = l + -66. What is the first derivative of 2*c + x*c - 9 + 0 + 4 wrt c?
6
Let k(l) be the first derivative of -2478*l**5/5 - l**2/2 - 1119*l - 3754. Find the first derivative of k(q) wrt q.
-9912*q**3 - 1
Suppose 0 = -4*u + 2*w + 20, -u + 8 = 2*u + 2*w. Suppose u