4. What is the third derivative of 6*l**6 + 3*l**2 - l**2 + l**g wrt l?
720*l**3
Let p = 12 + -12. Suppose l + 7 - 20 = p. Differentiate -2*m**2 + l*m**2 - 1 - 4*m**2 with respect to m.
14*m
What is the third derivative of -2*v**3 + 4 + 18*v**6 + v**3 + 253*v**2 + 0*v + 0*v - 5 wrt v?
2160*v**3 - 6
What is the third derivative of -5*c**3 - 297*c**2 + 5*c**4 + 244*c**2 + c**4 wrt c?
144*c - 30
Suppose 0 = 2*z - 3 - 75. Suppose 2*j = 2 + 2, -4*j + z = c. What is the second derivative of -3*t**3 - 45*t + 21*t + c*t wrt t?
-18*t
Suppose -5*c - 2*h = -77, 20 = 3*c + 5*h - 30. Suppose 3*i = 6*i - c. What is the second derivative of -3*z**5 - i*z**5 + 5*z**5 + 11*z**5 - 3*z wrt z?
160*z**3
Let r be 8/20 - (-10)/(-25). Find the second derivative of 7*i - 4*i + r*i + 0*i**4 - 3*i**4 wrt i.
-36*i**2
Let d(o) be the second derivative of 653*o**6/30 - 23*o**3 - 240*o. Find the second derivative of d(u) wrt u.
7836*u**2
Let t(q) = -179*q**4 - 3*q**3 - 2*q**2 + 4*q - 4. Let l(p) = 5*p**4 + p**3 - 1. Let u(m) = 3*l(m) + t(m). Find the second derivative of u(y) wrt y.
-1968*y**2 - 4
Let h(y) be the first derivative of -23*y**4/2 - 65*y**3/3 - 3*y**2/2 - 8. Find the third derivative of h(u) wrt u.
-276
Differentiate -116 - 45*g**4 - 425 - 71*g**2 + 71*g**2 with respect to g.
-180*g**3
Suppose 36 = -2*f + 6*f. Find the first derivative of -9*p**2 - 4*p**4 + 0*p**4 - f + 9*p**2 wrt p.
-16*p**3
Suppose 0 = 2*a - 43 - 17. Suppose 8*y - a = 3*y. Find the first derivative of -8*u**3 - 3 + y + 19*u**3 + 7 wrt u.
33*u**2
Let c be (-2)/4 + 143/22. Suppose -3*p + 27 - 21 = 0. What is the third derivative of d**2 + 0*d**p + c*d**4 + 6*d**4 - 5*d**4 wrt d?
168*d
Let r(d) be the second derivative of d**10/2520 - d**6/120 + d**4/4 - 7*d. Let w(x) be the third derivative of r(x). Find the second derivative of w(j) wrt j.
240*j**3
Let s(b) = -298*b**5 - 4*b**3 + 60*b. Let c(w) = 597*w**5 + 10*w**3 - 121*w. Let y(o) = -2*c(o) - 5*s(o). Find the second derivative of y(k) wrt k.
5920*k**3
Let k(u) = 14*u**4 - 3*u**2 + 25*u - 310. Let f(b) = -13*b**4 + 2*b**2 - 26*b + 311. Let p(o) = 3*f(o) + 2*k(o). Differentiate p(v) with respect to v.
-44*v**3 - 28
Differentiate -62*u**4 - 4 + 26*u**4 - 101*u**4 with respect to u.
-548*u**3
Let l(t) = -t - 1. Let b(p) = p**2 - 2*p + 58. Let z(k) = -b(k) + 3*l(k). What is the second derivative of z(r) wrt r?
-2
Let l(d) be the first derivative of 2*d + 33 - 38 - d - 8*d**2. Differentiate l(p) wrt p.
-16
Let j(b) = -b**4 - b**3 - 2*b**2 - 1. Let q(x) = -11*x**4 + x**3 + 2*x**2 - 4*x - 2. Let w(i) = -j(i) - q(i). What is the second derivative of w(c) wrt c?
144*c**2
Let g(r) be the first derivative of 449*r**4/4 + 747*r**2/2 - 777. Find the second derivative of g(f) wrt f.
2694*f
Let q(f) = 25*f**2 + f + 124. Let v(w) = 24*w**2 + w + 123. Let n(h) = -3*q(h) + 4*v(h). Find the first derivative of n(u) wrt u.
42*u + 1
Let d(b) be the first derivative of -29*b**5 + b**4/2 + 300*b + 182. Differentiate d(c) with respect to c.
-580*c**3 + 6*c**2
Let v = -14 + 25. What is the third derivative of 11*w - v*w - 9*w**2 + 3*w**6 wrt w?
360*w**3
Let t be -4 - ((-236)/12 + (-2)/(-3)). Differentiate -6*z + z**2 + 17*z - 11*z - t wrt z.
2*z
Suppose 0 = 12*t - 10*t - 6. What is the first derivative of -t + 10*s - 4*s - 4 wrt s?
6
Let x(f) be the second derivative of 3/2*f**3 + 0*f**2 - 13*f + 0 + 1/2*f**5 + 0*f**4. What is the second derivative of x(r) wrt r?
60*r
Differentiate -105 + 5*k - 8*k + 19*k**2 + k - k + 0 with respect to k.
38*k - 3
Let b = -7 - -12. Suppose -2*y - b*n - 18 = -2, -5*y + 30 = -5*n. What is the second derivative of 10 - 10 - 2*p**5 + y*p wrt p?
-40*p**3
Suppose -3*d - 7 = -2*w - 23, 0 = 5*d - 3*w - 26. Let z be 44/7 + d/(-14). Find the second derivative of 12*c**2 - 3*c + 3*c - 3*c**2 - z*c wrt c.
18
Let p = 6 + 0. Find the second derivative of 5*k**2 + p*k**2 + 18*k + 10*k**2 + 5*k wrt k.
42
Let n(c) = -c + 7. Let v be n(6). Suppose -q = -v - 14. Find the third derivative of 8*b**2 - 7*b**4 - 12*b**4 + q*b**4 wrt b.
-96*b
Let g(o) be the second derivative of -o**4/6 + 19*o**3 + 137*o**2 - o - 377. What is the first derivative of g(m) wrt m?
-4*m + 114
Let a(i) be the second derivative of -15*i**4/4 + 5*i**3/6 - 396*i**2 - 350*i. What is the first derivative of a(p) wrt p?
-90*p + 5
Let s = -19 + 46. Differentiate 8 - s*o**2 + 27*o**2 + 4*o**4 + o**4 with respect to o.
20*o**3
Let j be 216/10 - 8/(-20). Find the second derivative of -1 + j*c - 21*c**5 - 5 + 6 wrt c.
-420*c**3
Let p = -44 + 72. What is the first derivative of p*f**4 - 15 + 36 + 29 - 30*f**4 + 14*f wrt f?
-8*f**3 + 14
What is the derivative of -9350*b - 91*b**4 + 9350*b - 55*b**4 + 272 wrt b?
-584*b**3
Let f(n) = n**2 + 11*n + 4. Let a be f(-11). Suppose -344 = -a*u - 0*u. Find the first derivative of 0*i + u*i**2 - 80*i**2 + 3 + 0*i wrt i.
12*i
Let h(u) = u**2 - 3*u - 1. Let m(v) = -487*v**2 - 253*v + 2. Let l(q) = -2*h(q) - m(q). Find the second derivative of l(n) wrt n.
970
Suppose -4*o + 6 = -2*h, 2*o - 18 = -17*h + 15*h. What is the first derivative of 31*t**o + 0 + 56 - 1 wrt t?
124*t**3
What is the third derivative of -5*c + c - 27*c**3 + 823 - 823 - 8*c**2 wrt c?
-162
Let m(x) be the first derivative of 16 + 0*x + 5*x + 9*x**2 - 6*x. Differentiate m(n) with respect to n.
18
Let a(o) = 27*o**4 - 4*o**3 - 4*o**2 + 15. Let r = 55 - 51. Let s(x) = x**4 + x**3 + x**2 - 1. Let f(v) = r*s(v) + a(v). What is the derivative of f(j) wrt j?
124*j**3
Let w(g) be the third derivative of g**8/336 + g**6/8 - 65*g**4/24 - g**2 + 19*g. What is the second derivative of w(h) wrt h?
20*h**3 + 90*h
Suppose 5*b = 6*b + 473. Let u = b - -1057. Differentiate 6*p**3 - u*p**2 + 12 + 584*p**2 wrt p.
18*p**2
Let c(h) be the third derivative of -1/12*h**5 + 0 - 7*h**2 + 0*h**4 + 7/6*h**3 + 0*h. Differentiate c(p) with respect to p.
-10*p
Let i(y) be the third derivative of y**8/336 + 2*y**7/21 - 31*y**4/6 - y**3/3 - y**2 - 167*y. What is the second derivative of i(x) wrt x?
20*x**3 + 240*x**2
Let a(d) be the third derivative of 0*d + 11/3*d**3 + 18*d**2 + 0 + 0*d**4 - 1/3*d**5. Differentiate a(k) with respect to k.
-40*k
Let x(l) = 309*l**3 - 827*l**2 - 5*l. Let k(s) = -464*s**3 + 1239*s**2 + 8*s. Let y(b) = -5*k(b) - 8*x(b). Find the third derivative of y(u) wrt u.
-912
Let a(l) be the second derivative of l**4/6 - l**3/3 - 4*l. Let f be a(2). Find the second derivative of -3*j - 3*j - f*j**2 + 2*j wrt j.
-8
Let x(l) be the first derivative of 18*l**5/5 + l**4/2 - 149*l + 134. Find the first derivative of x(k) wrt k.
72*k**3 + 6*k**2
Let y(p) be the first derivative of 26*p**3 + 3*p**2 + 2*p + 38. Find the second derivative of y(l) wrt l.
156
Suppose -4*z - 4*w = -6*z + 12, -4*w = z + 12. Find the third derivative of 17*y**2 - 6*y**2 + z*y**3 + 6*y**3 wrt y.
36
Let m(j) = -j**3 + 4*j**2 + 7*j - 7. Let h be m(5). Suppose 0*g = 3*g - 9. Differentiate 9 + 2*b**g + 5*b**3 - h - 2*b**3 with respect to b.
15*b**2
Let b(t) be the first derivative of 0*t**3 + 10*t + 13 + 0*t**2 - 13/2*t**4. Differentiate b(j) with respect to j.
-78*j**2
Let a = -54 - -54. Let o(z) be the second derivative of a + 1/12*z**4 + 0*z**2 - z - 5/6*z**3. Find the second derivative of o(f) wrt f.
2
Let q(c) = -94*c**4 + 6*c**3 - 4*c**2 + 4*c + 1. Let f(o) = -187*o**4 + 10*o**3 - 7*o**2 + 7*o + 3. Let z(y) = -4*f(y) + 7*q(y). Differentiate z(j) wrt j.
360*j**3 + 6*j**2
Let v(p) be the second derivative of 0 - 7/10*p**5 + 16*p - 5/3*p**4 + 0*p**3 + 0*p**2. What is the third derivative of v(b) wrt b?
-84
Let d(z) be the second derivative of -z**7/21 - 53*z**3/6 + 79*z. Find the second derivative of d(n) wrt n.
-40*n**3
Let r be 1/((-1)/(-6)) + -3. Let f be 1 - (-2 + r) - 0. Find the first derivative of 3*i**4 + 0*i**3 + 3 + 2*i**4 + f*i**3 wrt i.
20*i**3
Let d(h) be the first derivative of 0*h**3 + 0*h + 0*h**5 - 7/6*h**6 + 21/2*h**2 + 9 + 0*h**4. Find the second derivative of d(g) wrt g.
-140*g**3
Suppose -2*y + 4*y - 10 = 0. Suppose 185 = y*l + 5*w, l - 3*w + 5 = 46. Find the third derivative of -l*n + 2*n**6 + 38*n + n**2 wrt n.
240*n**3
Let y(r) = 4*r**2 - 253*r**4 + 261*r**4 + 2*r**2 + 12. Let t(n) = n**4 - n**2 + 1. Let v(o) = -6*t(o) - y(o). What is the derivative of v(u) wrt u?
-56*u**3
What is the second derivative