k**5 - k**4 - k**4 + 2*k**4 + 11*k**2 wrt k.
780*k**2
Let y(n) be the first derivative of 3*n**2 + n**6 + 4*n**2 - 3*n**2 + 21. Find the second derivative of y(w) wrt w.
120*w**3
Let h(q) = -68*q**4 + 10*q**3 - 5*q**2 - 79*q - 2. Let k(g) = g**4 + 2*g**3 - g**2 - g. Let a(v) = -h(v) + 5*k(v). Find the second derivative of a(p) wrt p.
876*p**2
Let o = -45 - -47. Find the third derivative of -4*t**6 + 336*t**o - 340*t**2 + 3*t**6 wrt t.
-120*t**3
Let z(d) be the first derivative of 10/3*d**3 + 0*d**4 - d**5 + 0*d**2 + 3 + 0*d. Find the third derivative of z(x) wrt x.
-120*x
Suppose -3*i + 0*i - 25 = 4*x, x = -2*i - 10. Let s = 9 + x. What is the first derivative of 5 + s*u**4 - 8 + 0 wrt u?
20*u**3
What is the third derivative of -17*u**3 - 99*u**2 - 3*u**3 + 8*u**5 - 35*u**5 + 20*u**3 wrt u?
-1620*u**2
Let f(z) = -z**3 + z**2 + 3*z + 4. Let r be f(-2). Let d = -8 + r. What is the second derivative of -4*g + 9*g + 0*g**2 - 2*g**2 + 9*g**d wrt g?
14
Let t(c) be the first derivative of -11*c**3/3 + 103*c + 4. Differentiate t(s) with respect to s.
-22*s
Let u(r) be the third derivative of 22*r**5/3 - 5*r**4/24 + 7*r**3/3 + 65*r**2. Find the second derivative of u(w) wrt w.
880
Let n(m) = -455*m**2 - 4*m + 120. Let t(p) = -451*p**2 - 3*p + 119. Let a(s) = -4*n(s) + 5*t(s). Find the second derivative of a(f) wrt f.
-870
Let a(x) be the first derivative of x**6/6 + 19*x**5/5 - 8*x**2 + 3*x + 8. What is the second derivative of a(n) wrt n?
20*n**3 + 228*n**2
Let q be 2/(-2)*(0 + 2) - -5. What is the second derivative of -22 - 14*b + 12 + 23*b**q + 10 wrt b?
138*b
Let c(z) = -51*z**3 + 3*z**2 + 314*z + 6. Let o(t) = -17*t**3 + t**2 + 104*t + 2. Let d(q) = -2*c(q) + 7*o(q). What is the second derivative of d(s) wrt s?
-102*s + 2
Let c(r) = 29*r**3 + 8*r**2 - 258*r + 4. Let u(z) = -83*z**3 - 25*z**2 + 773*z - 13. Let q(v) = -13*c(v) - 4*u(v). What is the second derivative of q(s) wrt s?
-270*s - 8
Let i(f) be the second derivative of 0*f**3 + 14*f + 0*f**4 + 0*f**5 + 4/5*f**6 + 15/2*f**2 + 0. Find the first derivative of i(r) wrt r.
96*r**3
Let a(k) = -10*k - 10. Let n be a(-8). Let s be (n/(-15))/(4/(-6)). What is the second derivative of -f - 3*f - s*f**5 + 4*f**5 wrt f?
-60*f**3
Let q(v) be the first derivative of -2*v + 0*v**4 + 0*v**3 - 26/5*v**5 + 0*v**2 - 8. What is the derivative of q(d) wrt d?
-104*d**3
Let a(l) = -l**2 - 2*l. Let p(d) = -2*d**2 - 7*d + 330. Let o(g) = -3*a(g) - p(g). Differentiate o(u) wrt u.
10*u + 13
What is the derivative of 469 + 624 - 1550 + 205*r wrt r?
205
Suppose 3*k - 57 = -15. Find the third derivative of -5*y**2 + 37*y**2 - 11*y**2 - 11*y**2 - k*y**3 wrt y.
-84
Let m(i) = i**2 + 4*i + 7*i + 2 - 5 - 3*i. Let u be m(-9). Find the first derivative of -5 + 7*f**2 - u*f**2 + 2*f**2 + f**2 wrt f.
8*f
Let v(s) be the first derivative of s**8/336 + s**5/30 - 5*s**3/3 - 20. Let w(u) be the third derivative of v(u). Find the second derivative of w(k) wrt k.
60*k**2
Let d(n) be the second derivative of n**7/42 + 31*n**5/10 + 2*n**3/3 + 2*n**2 + 12*n - 10. What is the second derivative of d(y) wrt y?
20*y**3 + 372*y
Let x(u) be the third derivative of -13*u**9/504 - 19*u**6/120 - 71*u**5/20 - 206*u**2. What is the third derivative of x(d) wrt d?
-1560*d**3 - 114
What is the third derivative of 87*r**3 + 6*r**2 + 343*r**3 + 36*r**3 - 36 wrt r?
2796
Let f(y) = -45*y**3 + 26*y**2 + 6*y - 2. Let m(c) = -91*c**3 + 53*c**2 + 13*c - 4. Let r(z) = -13*f(z) + 6*m(z). What is the third derivative of r(b) wrt b?
234
Suppose -13*u + 348 = 62. What is the second derivative of -23*s - u*s + 31*s + 45*s**3 wrt s?
270*s
Let c(n) = -n + 11. Let l be c(4). Let z(t) = 16*t**2 + 2*t + 19. Let p(h) = 47*h**2 + 7*h + 58. Let j(a) = l*z(a) - 2*p(a). Differentiate j(m) wrt m.
36*m
Let a(q) = -q**3 - 6*q**2 - q. Let r be a(-6). Let k(s) = s**2 - 7*s + 9. Let u be k(r). What is the second derivative of 6*c - u*c**3 + 6*c**3 - 5*c wrt c?
18*c
Let o(h) be the second derivative of 1/5*h**6 + 0*h**2 + 0*h**4 + 0 + 0*h**5 + 14/3*h**3 - 24*h. Find the second derivative of o(u) wrt u.
72*u**2
Let k(c) = -5*c**3 - 14*c**2. Let r(z) = 14*z**3 + 45*z**2 - z + 1. Let m(i) = 8*k(i) + 3*r(i). Find the second derivative of m(l) wrt l.
12*l + 46
Suppose -4*u = 4 - 12. What is the first derivative of 21*j**3 - 7*j**3 + 14 - 7 + u wrt j?
42*j**2
Suppose 0 - 24 = -12*l. Suppose 3*r + 16 = m, 0 = -0*r + 3*r + 12. Find the third derivative of -p**2 + 4*p**2 - m*p**5 + l*p**5 - 5*p**2 wrt p.
-120*p**2
Let s be ((-2)/2)/(13/(-26)). Suppose 0 = s*n - v + 6*v + 23, 0 = -5*v - 25. What is the derivative of -n + 3 - 2 - 2 + 6*i**4 wrt i?
24*i**3
What is the third derivative of -57*s**3 + 36*s**3 + 35 - 6*s**5 + 27*s**3 - 2*s**2 wrt s?
-360*s**2 + 36
Let v(y) be the third derivative of -103*y**6/120 + 3*y**5/20 + y**4/12 + 4*y**2. Find the third derivative of v(h) wrt h.
-618
Let f(h) = 9*h**3 - 2*h + 7. Let g(k) = -4*k**3 + k - 3. Let l = 21 + 4. Let w = l + -18. Let p(m) = w*g(m) + 3*f(m). Find the second derivative of p(n) wrt n.
-6*n
Let z(i) be the second derivative of -19*i**4/3 + i**3 - i**2/2 + 95*i. What is the second derivative of z(b) wrt b?
-152
What is the third derivative of -80*r**2 - 9*r**4 + 23*r**2 - 67*r**2 + 2*r**5 wrt r?
120*r**2 - 216*r
What is the third derivative of -210*i**2 - 179*i**2 - 98*i**5 + 49*i**2 + 476*i**5 + 132*i**5 wrt i?
30600*i**2
Let w(g) = 5*g**2 + 13*g + 78. Let i(r) = -2*r**2 + r + 1. Let j(d) = -4*i(d) - w(d). What is the derivative of j(b) wrt b?
6*b - 17
Suppose 0 = -6*n + 11 + 13. Suppose -t + 4*p + 8 = t, 4*t + 5*p - 16 = 0. What is the third derivative of 3*o**t + 8*o**2 + 8*o**n + 2*o**4 wrt o?
312*o
What is the third derivative of 2*o**2 - o**2 + 1298*o - 8*o**3 - 1289*o wrt o?
-48
Let l be (-2)/(-9) + 20/(-9). Let m be (0/(2/(-2)))/l. Find the second derivative of -w - 8*w + m*w**3 + 11*w**3 + 8*w wrt w.
66*w
Let w(l) = -5*l - 10. Let z(g) = -g. Let i(j) = -w(j) + 15*z(j). Let u be i(-10). What is the second derivative of -2*c + 120*c**3 - u*c**3 - 5*c wrt c?
60*c
Let n(i) = -2*i + 1. Let q = 69 + -36. Let j = q - 22. Let l(o) = -10*o + 4. Let b(s) = j*n(s) - 2*l(s). What is the first derivative of b(u) wrt u?
-2
Let z be (-570)/(-110) + (-4)/22. Let p = z + 0. Find the second derivative of -11*k - 2*k**5 - 5*k**5 + 4*k**5 - p*k**5 wrt k.
-160*k**3
Let b(f) = -f**4 + 5*f**3 - 40*f**2 - 4*f + 4. Let n(g) = -6*g**3 + 41*g**2 + 3*g - 3. Let j(i) = -3*b(i) - 4*n(i). Find the third derivative of j(v) wrt v.
72*v + 54
Let m(f) be the second derivative of -37*f**4/12 + 95*f**3/6 + 16*f + 1. Find the second derivative of m(y) wrt y.
-74
What is the third derivative of -104*h**2 - 88*h**2 + 2019*h**3 + 5*h**6 - 2056*h**3 wrt h?
600*h**3 - 222
Let z(i) = -20*i + 25. Let u(p) = 18*p - 26. Let c(a) = 4*u(a) + 6*z(a). Differentiate c(g) with respect to g.
-48
What is the second derivative of 2*g - 20*g + 14*g - 1 + 27*g**2 wrt g?
54
Let h(m) = 73*m**3 - 51*m**2 - 5*m - 3. Let a(p) = 220*p**3 - 154*p**2 - 14*p - 8. Let v(r) = 5*a(r) - 14*h(r). What is the third derivative of v(u) wrt u?
468
Let p(m) = 57*m**3 + 11*m - 5. Let h(q) = 114*q**3 + 23*q - 9. Let x(l) = -3*h(l) + 5*p(l). What is the second derivative of x(n) wrt n?
-342*n
Let z = -6 - -11. Find the third derivative of 5*g**2 + 2*g**5 + 15*g**5 - z*g**2 - 12*g**2 wrt g.
1020*g**2
Let i(u) = -15*u - 15. Let j(b) = 29*b + 30. Suppose 0 = 3*v - 4*v - l + 3, 4*v - l = 22. Let a(n) = v*i(n) + 3*j(n). What is the derivative of a(s) wrt s?
12
Let q(m) = 10*m**3 + 2*m**2 + 2*m + 2. Let j(v) = -41*v**3 - 8*v**2 - 9*v - 9. Let i(t) = -2*j(t) - 9*q(t). Find the third derivative of i(p) wrt p.
-48
Let u(m) = 2*m**2 + 155 + 16*m - 155 - 4*m**3. Let l(w) = 8*w**3 - 5*w**2 - 33*w. Let p(a) = 2*l(a) + 5*u(a). What is the second derivative of p(i) wrt i?
-24*i
Let r(d) be the first derivative of 4*d**6 + d**3/3 - d**2 - 126*d + 211. What is the second derivative of r(j) wrt j?
480*j**3 + 2
Let l(j) = 2*j**3 - 4*j**2 + 6*j + 272. Let t(g) = -2*g**3 - g**2 + g + 1. Let r(c) = l(c) - 6*t(c). What is the derivative of r(o) wrt o?
42*o**2 + 4*o
Let t = -4 - -1. Let h be ((-2)/t)/(10/75). What is the derivative of 2 + h*i**3 - 90*i + 90*i wrt i?
15*i**2
Let g(b) be the third derivative of -1/6*b**3 - 23