 of 0*u**2 + 0 + 1/4*u**4 + 3*u + 1/3*u**3. Find the second derivative of w(p) wrt p.
6
Let l(t) be the third derivative of t**8/336 - 7*t**5/30 + 17*t**2. Find the third derivative of l(k) wrt k.
60*k**2
Let v(t) be the first derivative of -t**9/1008 - t**5/60 - 7*t**3/3 - 1. Let l(a) be the third derivative of v(a). What is the second derivative of l(b) wrt b?
-60*b**3
What is the third derivative of 49*s**5 - 7 - 13 + s**2 - 55*s**5 + 0*s**2 wrt s?
-360*s**2
What is the third derivative of 53*g**4 - 5*g**2 + 2 + 12*g**2 - 13*g**2 wrt g?
1272*g
Let i(j) = 3*j**4 - 7*j**3 - 26*j**2. Let s(h) = 4*h**4 - 6*h**3 - 25*h**2. Let p(d) = 6*i(d) - 7*s(d). What is the third derivative of p(c) wrt c?
-240*c
Let q = 1 - -2. Differentiate 6*u**3 + 3 + u**q + u**3 + 5 with respect to u.
24*u**2
Let d be 2/6 + (-115)/(-15). Suppose 2*l + 8 = c + 4*c, -2*l = d. Differentiate 2 - 3*x + x + c*x with respect to x.
-2
Let b = -12 - -17. Suppose 0*g + 11 = g - 5*m, 0 = -b*g + 4*m + 13. What is the first derivative of g + 21*l - l**3 - 21*l wrt l?
-3*l**2
Let o(u) = -1 - 7*u**2 - 3 + 4. Let j(r) = 22*r**2 + r. Let p(i) = -2*j(i) - 7*o(i). What is the second derivative of p(v) wrt v?
10
Let s(j) be the third derivative of j**7/30 + 11*j**4/8 + 6*j**2. Find the second derivative of s(h) wrt h.
84*h**2
Let i(x) be the second derivative of 7*x**6/30 - x**4/12 - 2*x. Find the third derivative of i(w) wrt w.
168*w
Let l(w) be the third derivative of w**2 - 1/30*w**5 + 0*w**3 + 0 + 0*w - 1/24*w**4. What is the second derivative of l(n) wrt n?
-4
Find the second derivative of 2*s + 3*s**3 - 5*s**4 - 3*s**3 + s wrt s.
-60*s**2
Suppose -10 = 2*o, 0*o = -5*b + 3*o + 85. Suppose -3*y + b = 2*f, f - 2*f - 4*y = -12. Find the first derivative of -t**3 + 2 - f + 1 wrt t.
-3*t**2
Let r(q) = q**3 - 6*q**2 - 5. Let v(u) = -7*u**2 - 6. Let o(h) = 6*r(h) - 5*v(h). Find the third derivative of o(c) wrt c.
36
Let c be (-23)/4 - (-2)/(-8). Let s(f) = f**2 + 4*f - 6. Let o be s(c). Find the second derivative of 2 + 4 + 4*w - o + 3*w**3 wrt w.
18*w
Suppose 2*n + 4*d + 2 = 0, 5*n + d + 8 = 3*n. Let o(v) = -v - 1. Let b(m) = 6*m + 4. Let c(a) = n*o(a) - b(a). Differentiate c(u) with respect to u.
-1
Differentiate 5*b**3 + 2 + 2 - 11*b**3 with respect to b.
-18*b**2
Differentiate 7 - 2*i**2 - 2*i**2 - 2 + 9*i**2 wrt i.
10*i
What is the third derivative of -17*k + 17*k + 8*k**2 + 7*k**5 wrt k?
420*k**2
Let c(v) = v**2 + v. Let a(s) = -6*s**2 - 5*s + 2. Suppose -73 = -5*p - 23. Let x(f) = p*c(f) + 2*a(f). Differentiate x(r) wrt r.
-4*r
Let j be 28/7 + 0/1. Differentiate -2*x**4 - 2*x**4 + 1 + x**4 - 2*x**j wrt x.
-20*x**3
Suppose w + 3 = 0, -2*s = -w - 5 - 2. What is the third derivative of -3*v - 4*v**2 + 3*v - 3*v**3 + v**s wrt v?
-18
Find the second derivative of -10*t - 28*t**5 - 38*t**5 + 51*t**5 wrt t.
-300*t**3
Let o(h) be the third derivative of -h**5/10 - 7*h**4/24 - 8*h**2. Find the second derivative of o(y) wrt y.
-12
Suppose -3*i - 2*i = -5*y, -2*y + 5*i + 3 = 0. Let r = 3 + y. Find the third derivative of 2*p**5 - 4*p**5 + r*p**2 + 0*p**5 wrt p.
-120*p**2
Let u = 2 + -6. Let x(z) = -7*z**2 + 4*z + 6. Let o(q) = -13*q**2 + 7*q + 11. Let m(w) = u*o(w) + 7*x(w). What is the first derivative of m(c) wrt c?
6*c
Find the second derivative of -415 + 4*h + 415 + 25*h**2 wrt h.
50
Suppose -3*i = -7*i. Suppose 5*u - 12 + 2 = i. What is the second derivative of -3*q**2 + 2*q**2 + 0*q**u - 2*q wrt q?
-2
What is the first derivative of -6 - 12 - 5*n + 13 wrt n?
-5
What is the second derivative of 4*a - 30*a**2 + 9*a**2 + 16*a**3 + 21*a**2 wrt a?
96*a
Let t(i) be the third derivative of i**6/60 + 11*i**5/30 + 26*i**2. What is the third derivative of t(r) wrt r?
12
What is the second derivative of -28*b**3 - 24*b**3 + 34*b + 52*b**3 - 25*b**4 wrt b?
-300*b**2
Suppose 13 = p + 7. Differentiate -3 - v**3 + p + 2 wrt v.
-3*v**2
Let g(f) be the third derivative of -f**7/840 - f**5/30 - f**4/12 + 2*f**2. Let k(h) be the second derivative of g(h). Differentiate k(x) wrt x.
-6*x
Suppose 0 = -5*h + 4*c + 19, 0*h - 4*c = -2*h + 10. Let w be (3 + h)/(-1 - -3). What is the second derivative of 3*o - w*o**3 + 0*o**3 - 7*o wrt o?
-18*o
Suppose 2*i - 1 = 3. Find the third derivative of -7*s + 4*s**4 + 7*s - 3*s**i wrt s.
96*s
Let x(v) be the third derivative of 0*v**6 + 2*v**2 + 0*v**5 + 0 + 0*v**3 + 1/6*v**4 + 0*v + 1/105*v**7. Find the second derivative of x(m) wrt m.
24*m**2
Let r(l) be the third derivative of 0 + 0*l**4 - 8*l**2 + 0*l**5 + 0*l - 2/3*l**3 + 0*l**6 + 3/70*l**7. Find the first derivative of r(g) wrt g.
36*g**3
Let k(q) = 11*q**2 - 1. Let t(y) = -y**2. Let i(p) = -k(p) - 5*t(p). Differentiate i(z) with respect to z.
-12*z
Let w(v) be the second derivative of -v**7/210 - v**4/6 - 5*v**2/2 + 5*v. Let q(s) be the first derivative of w(s). Find the second derivative of q(i) wrt i.
-12*i**2
Suppose 0 = -2*y - 6 + 42. Let a(q) = 24*q**2 + 39*q + 18. Let g(t) = 7*t**2 + 11*t + 5. Let n(c) = y*g(c) - 5*a(c). Find the second derivative of n(b) wrt b.
12
Let p(j) = j**3 - 3*j**2 - 4*j + 9. Let d be p(4). Find the third derivative of -d*g**4 - 3*g**5 + 3*g**2 + 9*g**4 wrt g.
-180*g**2
Let b(z) = z**2 + 4*z - 4. Let c(o) = -2*o**2 - 11*o + 12. Suppose 12 = -3*n - 3*a, 2 = -4*n + 4*a - 14. Let p(w) = n*c(w) - 11*b(w). Differentiate p(j) wrt j.
-6*j
What is the derivative of -36 - 3 - 34*n + 12 wrt n?
-34
Let d(n) = 5*n**2 - 7*n - 12. Let z(s) = -4*s**2 + 6*s + 11. Let w(k) = -6*d(k) - 7*z(k). What is the derivative of w(l) wrt l?
-4*l
Let z(n) be the first derivative of -9*n**5/5 + 6*n - 8. What is the first derivative of z(c) wrt c?
-36*c**3
Let a(o) = 25*o**3 + 32*o**2 + 6*o - 6. Let s(r) = -24*r**3 - 31*r**2 - 5*r + 5. Let f(c) = -5*a(c) - 6*s(c). What is the third derivative of f(k) wrt k?
114
Let o(v) = -v**4 + 7*v**2 - 7*v. Let i(p) = p**4 - 3*p**2 + 4*p. Let s(b) = -7*i(b) - 4*o(b). Find the third derivative of s(c) wrt c.
-72*c
Let o(a) be the third derivative of a**7/210 + a**5/15 - 17*a**2. What is the third derivative of o(c) wrt c?
24*c
Suppose -t + 20 = 3*m, -5*t + 4*m + 24 = -0*t. Let o = t - 5. Differentiate -i**3 + i**3 + 3 - 1 - i**o wrt i.
-3*i**2
Find the second derivative of 3*u**4 - 4*u**4 - u + 3*u**4 + 3*u wrt u.
24*u**2
Let q(r) = 5*r**2 + 5. Let x(c) = -c**2 - 1. Let v be 3/2*(-2)/(-3). Let u(t) = v*q(t) + 6*x(t). What is the first derivative of u(j) wrt j?
-2*j
Let x be 2/(-4) + 7/2. Let l = x + -1. Differentiate -2*j**3 - 4 + l + j**3 wrt j.
-3*j**2
Let t(f) = -15*f**2 + 17*f. Let q = 17 - 4. Let y(a) = 7*a**2 - 8*a. Let i(n) = q*y(n) + 6*t(n). What is the second derivative of i(g) wrt g?
2
Let n(z) be the third derivative of -z**2 + 0*z + 1/12*z**4 + 1/10*z**5 + 0*z**3 + 0. What is the second derivative of n(l) wrt l?
12
Let d be 2/(3 + 62/(-22)). Suppose r - d = -2*l - 0, -8 = -2*l. What is the derivative of -r*m**2 - 3 + 2*m**2 + 0*m**2 wrt m?
-2*m
Let z be (20/(-6))/(6/(-9)). Differentiate -2*k + z*k + 5 + 3*k wrt k.
6
Let l(f) be the second derivative of 1/2*f**4 + 4*f + 0*f**2 + 0*f**3 + 0 + 3/20*f**5. What is the third derivative of l(u) wrt u?
18
Let u(g) be the first derivative of -2*g**5/5 + 7*g**3/3 - 43*g + 3. Differentiate u(m) with respect to m.
-8*m**3 + 14*m
Let d(m) be the second derivative of -33*m**5/20 - m**2/2 + 34*m. What is the derivative of d(y) wrt y?
-99*y**2
Let y(g) be the second derivative of 3*g**5/2 - 5*g**4/3 + 33*g. What is the third derivative of y(a) wrt a?
180
Suppose -2*w + 4 = 3*x, -w = 4*x - 5 - 7. Find the first derivative of -x*b**4 + 2 + 8*b**4 + 1 wrt b.
16*b**3
Let i(x) be the third derivative of x**4/12 - 5*x**3/6 + 9*x**2. What is the first derivative of i(z) wrt z?
2
Let r(z) be the second derivative of z**6/40 + z**3/2 + z**2/2 - 2*z. Let c(b) be the first derivative of r(b). Differentiate c(y) with respect to y.
9*y**2
Let g(i) be the third derivative of -i**8/840 + i**5/40 + i**3/3 + i**2. Let n(x) be the first derivative of g(x). Find the second derivative of n(h) wrt h.
-24*h**2
Find the second derivative of -15*f**3 + 2 - 10 + f + 3*f**3 - 13*f**4 + 10*f**3 wrt f.
-156*f**2 - 12*f
Let y(n) be the first derivative of -3*n**4/2 + 3*n**2/2 - 12. What is the second derivative of y(v) wrt v?
-36*v
What is the third derivative