*k**6 wrt k.
120*k**3
Differentiate -11214*x**2 - 16733*x**2 + 2388 - 83 + 33191*x**2 with respect to x.
10488*x
Let q(x) = 13*x + 184. Let b be q(-14). Find the second derivative of 29*t - 7*t**3 + 16*t**4 + 3*t**3 - 3682*t**b + 3682*t**2 wrt t.
192*t**2 - 24*t
Find the third derivative of -6394*p**4 + 13586*p**4 + 1039*p**2 - 6819*p**4 + p**3 wrt p.
8952*p + 6
Suppose -3*v + 159 = 3*t, -238 = -5*v + 2*t + 2*t. Let g = -45 + v. What is the first derivative of -2*j**2 + g*j**2 + 3 - 16*j**2 wrt j?
-26*j
Let n = -494 + 499. Differentiate -188 - 6*b + 41 + n*b**2 - 78 - 13*b + 1 wrt b.
10*b - 19
Suppose -252*r = -249*r - 51. Differentiate 21 - r - 6 + 152*o + 17 + 28 wrt o.
152
What is the first derivative of 272 - 1249 - 7*j**2 + 118*j**2 + 49*j**2 wrt j?
320*j
Let x(j) = 3*j**2 - 43*j + 51*j - 5 - 2*j**2. Let z be x(-9). Find the third derivative of -5*h**2 - 4*h**z - 6*h**2 + 17*h**2 + 11*h**4 wrt h.
168*h
Suppose 4*g - 1 - 7 = 0. Let j(t) = 7*t**2 + 7*t - 18. Let v be j(g). What is the third derivative of 23*m**4 - 5*m**2 + v*m**2 + 2*m**5 + 0*m**2 wrt m?
120*m**2 + 552*m
Let z(j) = 4*j**3 + 57*j**2 + 25. Let v be z(-14). What is the second derivative of v*d + 45*d - 65*d + 102*d**2 wrt d?
204
Let j(l) = l + 15. Let k(s) = 4072*s + 5783. Let t(v) = 12*j(v) + k(v). Find the first derivative of t(x) wrt x.
4084
Let d be (5/(-4))/(2/(-8) - 0). What is the second derivative of 3*g**5 + 2*g**3 - 23*g**d - g**3 - 62*g + g**5 wrt g?
-380*g**3 + 6*g
Let r(k) = -5490*k + 6729. Let x(o) = -10992*o + 13454. Let q(c) = -13*r(c) + 6*x(c). Differentiate q(h) with respect to h.
5418
Let t be ((-65)/(-39))/(5/12). Find the first derivative of -92 - 19*r**3 - t*r**3 - 17 - 33*r**3 - 7*r**3 wrt r.
-189*r**2
Suppose -4 = 5*i - 6*i. Let r(k) = -k**2 + 8*k - 11. Let t be r(5). Differentiate -44 + 3*f**t + 43 - f**i with respect to f.
8*f**3
Let f = 2324 - 2324. Let b(l) be the first derivative of 7*l**2 + f*l**3 + 0*l - 5 - 1/4*l**4. Find the second derivative of b(s) wrt s.
-6*s
Let p(h) = -35*h**3 - 78*h - 4. Suppose 3 = -7*o + 6*o. Let z(s) = s**3 - s + 1. Let y(j) = o*z(j) - p(j). What is the second derivative of y(v) wrt v?
192*v
Find the second derivative of -322*b + 468*b**3 + 92*b - 66*b + 35*b**3 wrt b.
3018*b
Find the third derivative of 20*c**2 + 1952 + 4*c - 1951 - 290*c**3 - 1381*c**3 wrt c.
-10026
Suppose 139*v - 5565 = -73*v - 53*v. Let a(f) be the first derivative of 0*f - 41 - 11/4*f**4 - 4/3*f**3 + v*f**2. What is the second derivative of a(b) wrt b?
-66*b - 8
Let g(n) be the third derivative of 61*n**5/12 - n**4/24 - 292*n**3/3 - 13*n**2 + 10*n. Find the first derivative of g(b) wrt b.
610*b - 1
What is the first derivative of -20125*c**3 + 5584*c**3 + 4657 + 7911 wrt c?
-43623*c**2
Suppose -4*z + 1020 = 3*y, -3*z - y - 262 = -4*z. Differentiate -4*a**3 - 9*a**3 + z + 123*a - 123*a - 88*a**3 with respect to a.
-303*a**2
Let z = -36 + 40. Let i(y) = -y**2 + 7*y - 9. Let h be i(z). Find the second derivative of -5*r**2 + 32*r + 3*r**2 - 3*r**2 - h*r wrt r.
-10
Let a(v) = 8*v - 3. Let j be a(1). What is the second derivative of 0*o**2 + 559*o - o**2 - 652*o - 37*o**j wrt o?
-740*o**3 - 2
What is the second derivative of 16*v**2 + 16604*v**3 - 16597*v**3 + 41*v**2 + 989*v wrt v?
42*v + 114
Let m be 1/4 - 45/(-12). Suppose -m*x = 3*l - 21, -3 = 3*x - 2*x. Find the third derivative of 21*d**2 - 2*d**4 - 6*d**2 - l*d**4 wrt d.
-312*d
Let c = 57 + -65. Let v = -4 - c. Find the third derivative of 12 - 16 + 5*s**2 + 4 - 6*s**v wrt s.
-144*s
Let u(q) be the second derivative of -11/6*q**4 + 0*q**7 + 0*q**3 + 0*q**2 + 0*q**5 - 3*q - 2 + 0*q**6 - 13/28*q**8. Find the third derivative of u(v) wrt v.
-3120*v**3
Let k(z) = z**3 + 2*z**2 - 2421*z + 3074. Let x(b) = -3*b**3 - 4*b**2 + 4844*b - 6148. Let h(w) = -7*k(w) - 3*x(w). Find the first derivative of h(g) wrt g.
6*g**2 - 4*g + 2415
Suppose 59 = 16*z + 11. What is the derivative of -3 - 29*k**2 + 49*k + 14*k**2 - 1 + 2*k**z + 15*k**2 wrt k?
6*k**2 + 49
Let w(l) be the third derivative of l**6/60 - 29*l**5/60 + 1375*l**4/24 + 21*l**2 + 4*l. Find the second derivative of w(o) wrt o.
12*o - 58
Suppose 0*k - 2*k - 12 = w, -5*w + 12 = -2*k. Let j be (-1 - -2)*k*-1. What is the third derivative of 3*x**2 + 16*x**j - 2*x**6 - 2*x**6 wrt x?
1440*x**3
Let v(i) = -80*i + 67. Let f(q) = q**2 - 13*q - 146. Let n be f(20). Let z(s) = -81*s + 62. Let o(b) = n*v(b) + 5*z(b). Find the first derivative of o(u) wrt u.
75
Let k(h) be the first derivative of 0*h**5 - 2*h**6 + 0*h**4 - h**3 + 20 + 187/2*h**2 + 0*h. Find the second derivative of k(i) wrt i.
-240*i**3 - 6
Let x(f) be the first derivative of -f**4/4 - 212*f**3 + 347*f**2 + 3*f - 2409. What is the second derivative of x(l) wrt l?
-6*l - 1272
What is the first derivative of -1469*v**3 + 3072 - 1164 - 849*v**3 wrt v?
-6954*v**2
Let x = -194 - -290. Suppose -4 = -5*l + x. What is the first derivative of -12 - 2 + 4 + l*n**3 - 11 wrt n?
60*n**2
Let n(x) be the third derivative of 281*x**8/21 - 137*x**5/30 + 5*x**3/3 + 3*x**2 - 3*x - 43. Find the third derivative of n(c) wrt c.
269760*c**2
Let a(w) = -w**2 - w + 26. Let m(u) = -6494*u**2 - 8*u + 5199. Let i(g) = -7*a(g) + m(g). What is the second derivative of i(n) wrt n?
-12974
Let s(t) = -2*t**2 - 2*t. Let q = 285 - 286. Let x(p) = -163*p**2 + 14*p - 46. Let h(g) = q*x(g) - 6*s(g). What is the second derivative of h(c) wrt c?
350
Suppose 0*x + 5*x - 70 = 0. What is the derivative of -1255*m**2 - 57 - 3*m - 5*m - x*m + 1254*m**2 wrt m?
-2*m - 22
Let g(h) = 7*h - 1. Let a(r) = 60*r**2 - 22*r - 1417. Let s(z) = -a(z) - 5*g(z). What is the first derivative of s(d) wrt d?
-120*d - 13
Let f = -350 + 400. What is the first derivative of 161*b**2 + 5865*b + 61 - 5865*b + f wrt b?
322*b
Let g(b) be the second derivative of b**4/6 - 178*b. Let o(j) = -262*j**2 + 45*j. Let n(r) = 5*g(r) + o(r). Find the second derivative of n(x) wrt x.
-504
Differentiate c - 1391169*c**2 - 1813 + 568*c**3 + 364 + 1391172*c**2 wrt c.
1704*c**2 + 6*c + 1
Let r(c) = 795*c**2 - 5045*c. Let w(j) = j**2. Let i(x) = -r(x) + 3*w(x). Find the second derivative of i(k) wrt k.
-1584
Suppose -3*d + 0*d = -6. Suppose 80 = 7*j - d*j. What is the third derivative of -31*t**3 + j*t**3 - 6*t**2 + 13*t**3 wrt t?
-12
Let l(p) = -p - 2*p**3 - 4*p**2 + 5*p**3 - 4*p**2 - 5 - 4*p**3. Let z be l(-8). Differentiate -92*f**2 - 6 + 92*f**2 + 18*f**z wrt f.
54*f**2
Let f be 14/(-6) - (-1)/3. Let t be 6 + f/3 + (-4)/(-6). Find the first derivative of -t*m + 1 - 24 + 0*m - 10*m wrt m.
-16
Let x(i) be the first derivative of -43*i**6/6 - 9*i**4/2 + 4230*i**2 + 6189. What is the second derivative of x(n) wrt n?
-860*n**3 - 108*n
Let b(u) = 2*u**4 + 6*u**3 - 17*u**2 + 460. Let o(h) = -6*h**4 - 21*h**3 + 50*h**2 - 1379. Let f(y) = 7*b(y) + 2*o(y). Find the first derivative of f(j) wrt j.
8*j**3 - 38*j
Let b(t) = -4*t**2 - 145*t + 43. Let g be b(-36). What is the third derivative of 81*i**2 + i**6 + 7*i**4 - 48*i**4 - g*i**4 + 89*i**2 wrt i?
120*i**3 - 2880*i
Find the second derivative of -4886*n**2 - 4894*n**2 - 2*n + 9779*n**2 - 1758 - 1115*n**3 wrt n.
-6690*n - 2
Let f(k) be the third derivative of k - 77/20*k**5 + 0*k**3 + 0 + 29/6*k**4 + 87*k**2. What is the second derivative of f(c) wrt c?
-462
Find the second derivative of 56011 - 19*m**2 - 4*m - 55708 + 47*m**2 wrt m.
56
Let c(w) = -2*w**2 + w + 4. Let m be c(0). Suppose -1 = -3*k + 8. What is the second derivative of -3*f**4 - 5*f**4 + 4*f + 7*f**4 + k*f**m wrt f?
24*f**2
Let n(x) = 3*x**5 + 2*x**3 - x + 2. Let f(j) = 300*j**5 - 6*j**3 + 2*j + 903. Let d(o) = f(o) + 3*n(o). What is the second derivative of d(h) wrt h?
6180*h**3
Suppose -t - x - 9 = 0, x + 23 = 2*t - 5*t. Let i = t + 13. Find the third derivative of 7*r**2 - 7*r**2 - 13*r**i - 16*r**2 wrt r.
-1560*r**3
Let w(n) = -6750*n + 8236. Let p(x) = -6752*x + 8282. Let z(g) = 13*p(g) - 12*w(g). What is the derivative of z(i) wrt i?
-6776
Suppose -30*f + 19*f = -18*f + 63. Let k = -66 - -95. Find the first derivative of -k*o + 4*o - 12*o + f*o - 33 wrt o.
-28
What is the second derivative of -6*t**3 - 158*t**4 - 178*t**2 + 179*t**2 - 2686*t + 98*t**4 - 113*t**4 wrt t?
-2076*t**2 - 36*t + 2
Suppose 6*g - 9 = 4*g - 5*u, 3*g - 2*u - 4 = 0. Suppose g*z = 5*r - 23