8 + 0*q**7 + 0 - 3*q**2 + 1/12*q**4. What is the second derivative of f(g) wrt g?
60*g**3
Let k(b) = -11*b**3 - 6*b**2 - 6*b. Let o(n) = -32*n**3 - 17*n**2 - 18*n. Let y(p) = 17*k(p) - 6*o(p). Find the second derivative of y(w) wrt w.
30*w
Let b(t) be the second derivative of -t**6/30 + t**4/2 - 19*t. Find the third derivative of b(g) wrt g.
-24*g
What is the third derivative of -4*b**4 + 4*b**4 + 10*b**4 + b**4 + 8*b**2 wrt b?
264*b
What is the derivative of -23 + 442*k**4 + 2*k**3 - 399*k**4 - 2*k**3 wrt k?
172*k**3
Let v(f) be the third derivative of f**7/420 - 3*f**4/8 - 5*f**3/6 + 2*f**2. Let l(c) be the first derivative of v(c). What is the derivative of l(h) wrt h?
6*h**2
Let i(p) = -19*p - 24. Let u(z) = -20*z - 24. Let y(j) = 2*i(j) - 3*u(j). What is the derivative of y(d) wrt d?
22
Suppose -2*a - 3*a = -5. Differentiate -d**2 + 0 - d**2 + a with respect to d.
-4*d
Let n(i) = -2*i - 8. Let v be n(-6). What is the first derivative of 63*h**3 - 6*h**v - 63*h**3 + 4 wrt h?
-24*h**3
Let i be (6 - 0) + -9 + 5. Let p(j) be the first derivative of -1/3*j**3 - 1 + 0*j**i + 2*j. What is the derivative of p(k) wrt k?
-2*k
Let h = -1 - -10. Differentiate -3*p + 10 + h*p - 15 with respect to p.
6
Let t(v) = v - 6. Let z be t(8). What is the first derivative of 3*f**3 - z*f + 2*f - 2 wrt f?
9*f**2
Let v be -4 - (-1 + 2 + -20). Find the third derivative of -v*a**2 + 19*a**2 - 10*a**2 + 6*a**5 wrt a.
360*a**2
Let d(z) = 35*z**3 + 17*z**2 - 110*z. Let i(p) = -12*p**3 - 6*p**2 + 37*p. Let x(g) = -6*d(g) - 17*i(g). Find the second derivative of x(r) wrt r.
-36*r
Suppose 2*o - o + 6 = 0. Let l = -2 - o. What is the first derivative of -l*r**4 - 3 - r**4 + 2 + 3*r**4 wrt r?
-8*r**3
Let l(y) be the first derivative of 3*y**5/5 - y**2/2 - 3. Find the second derivative of l(j) wrt j.
36*j**2
Let z(d) be the first derivative of d**3 + 3*d**2/2 + 7*d - 2. Let o(i) be the first derivative of z(i). Differentiate o(y) with respect to y.
6
Let o(c) be the third derivative of c**5/30 - 11*c**3/6 + 15*c**2. Differentiate o(v) wrt v.
4*v
Let g(n) be the second derivative of -7*n**4/6 + 5*n**3/6 + n**2/2 - 8*n. Find the second derivative of g(h) wrt h.
-28
Let l(p) be the first derivative of 9*p**5/5 - 9*p**2/2 - 19. Find the second derivative of l(u) wrt u.
108*u**2
Let l(b) be the second derivative of -5/42*b**7 - 7*b + 0 + 0*b**6 + 0*b**5 + 1/6*b**4 + 0*b**2 + 0*b**3. Find the third derivative of l(p) wrt p.
-300*p**2
Let c(l) = 3*l**4 + 2*l**2. Let k(a) = -a**4 + 1 - 5*a**2 + 0*a**2 + 4*a**2. Let s(o) = -c(o) - 2*k(o). What is the first derivative of s(v) wrt v?
-4*v**3
Let b be (5 + -4)*3*1. Find the second derivative of g + 0*g + g**2 - 10*g + b*g wrt g.
2
Suppose -4*u = -2*m + 8, 2*u + 3 = -5*m + 11. Suppose 17 = m*a - 4*v - 1, -4*a + 5*v = -30. What is the second derivative of 2*k + 2*k**a + 2*k**5 - k**5 wrt k?
60*k**3
Suppose -170 = u - 6*u. Suppose -5*m - 2 = 3*c, 5*m - 4*c = u - 8. What is the first derivative of -4 + 2 + 3*l**m - 5*l**2 wrt l?
-4*l
Let i(c) = -28*c**2 - 15. Let k(o) = -o**2. Let l(d) = 2*i(d) + 6*k(d). Find the first derivative of l(h) wrt h.
-124*h
Suppose -4*p + 5 = -47. Let w = p - 9. What is the third derivative of -2*t**2 + 6*t**3 - 6*t**3 + t**w wrt t?
24*t
Let o(c) = c**2 - 7*c - 6. Let z be o(8). Suppose 5*y - 25 = 2*g, -19 = -0*y + z*y + 5*g. Find the first derivative of -y*t + 1 + 3*t + 3*t**4 wrt t.
12*t**3
Let u(f) be the third derivative of -1/8*f**4 + 0*f + 0*f**3 + 0*f**5 - f**2 + 1/40*f**6 + 0. Find the second derivative of u(p) wrt p.
18*p
Find the first derivative of -2*j**3 - 3*j**3 + 2*j**3 - 1 wrt j.
-9*j**2
Let b = 3 + 3. Let o(w) = w + 1. Let c(d) = 4*d**4 + 9*d + 6. Let q(z) = b*o(z) - c(z). What is the second derivative of q(m) wrt m?
-48*m**2
Suppose -2*v + 24 = 2*i + 6, 3 = -i + 3*v. Let s = i - 4. Find the second derivative of 2*u - 2*u**s - 2*u + 2*u wrt u.
-4
Let c be (-6)/(-4) - 2/4. Let y = c + 1. What is the derivative of -4*l**2 - 1 + 2*l**2 + 0*l**y wrt l?
-4*l
Let r = 4 - 1. Find the third derivative of 4*u**4 + 3*u**2 + 3*u**6 - r*u**4 - u**4 wrt u.
360*u**3
What is the second derivative of 6*v**2 - 6*v**2 - 4*v**2 - 5*v wrt v?
-8
Let p(a) be the first derivative of -3*a**6/10 + a**3/6 - 5*a + 9. Let c(l) be the first derivative of p(l). What is the second derivative of c(m) wrt m?
-108*m**2
Let y(n) be the first derivative of -n**6/3 - 5*n**2/2 + 9. Find the second derivative of y(h) wrt h.
-40*h**3
Let t(u) = u**2 - 4*u - 3. Let v be t(5). Differentiate -3 - z**2 - z**2 - 2*z**v with respect to z.
-8*z
Let n be 3 + 1*(-1)/1. Find the second derivative of -22*o + 8*o + 13*o - n*o**3 wrt o.
-12*o
Let b(u) = -5*u**2 - 4*u - 6. Let l(h) = h**2 + h - 1. Let s(n) = -b(n) + 6*l(n). What is the second derivative of s(t) wrt t?
22
Let o = -7 + 9. What is the second derivative of -2*y**2 - 3*y + 2*y**2 - o*y**2 wrt y?
-4
What is the second derivative of 0*h + 4*h**4 - 5*h + 3*h - 7*h wrt h?
48*h**2
Let d(t) be the first derivative of 5*t**5 - 50*t**3/3 - 61. What is the third derivative of d(x) wrt x?
600*x
Suppose -4*d + 32 = -0*d. Let z be 4/d + 1/2. What is the derivative of 2*o**4 - z - 3 + 3 wrt o?
8*o**3
Let v(p) be the second derivative of -p**8/1120 + p**5/20 + p**4/6 + 5*p. Let t(l) be the third derivative of v(l). What is the first derivative of t(m) wrt m?
-18*m**2
Let l(n) be the second derivative of n**5/60 - n**4/24 - n**2/2 - 5*n. Let t(h) be the first derivative of l(h). Find the second derivative of t(s) wrt s.
2
Let m(z) = -z**3 + z**2. Let w(l) = 7*l**3 - l**2 + 2*l. Let j(i) = -m(i) - w(i). What is the second derivative of j(q) wrt q?
-36*q
Let y = -11 + 14. What is the derivative of 4*t**y - 1 + 4 - 1 wrt t?
12*t**2
Suppose 5*d - 6*d = -3. What is the first derivative of 0 + 2 + 2 - 3*t**3 - d wrt t?
-9*t**2
Let i(w) = -43*w**3 + 8*w**2 + 7*w. Let s(b) = 14*b**3 - 3*b**2 - 2*b. Let p(n) = -3*i(n) - 8*s(n). What is the second derivative of p(m) wrt m?
102*m
Suppose 68 = -0*y - 3*y + t, 5*t = y + 32. Let h(c) = 7*c**2 + 11*c - 15. Let o(z) = -2*z**2 - 3*z + 4. Let s(l) = y*o(l) - 6*h(l). Differentiate s(p) wrt p.
4*p
Let y(z) = z - 18. Let m be y(20). Let h(l) be the first derivative of -2 + 3/2*l**2 + m*l. What is the first derivative of h(s) wrt s?
3
Suppose 4*d - 4 - 4 = 0. Differentiate d*j + 2*j + 4 - 4*j - 4*j**2 wrt j.
-8*j
Let g(x) = 6*x**3 + 5*x**2 + 5*x + 6. Let a = -1 + 7. Let u(q) = -7*q**3 - 6*q**2 - 6*q - 7. Let b(o) = a*g(o) + 5*u(o). What is the derivative of b(p) wrt p?
3*p**2
Suppose 5 = q + 1. Suppose 7 + 13 = q*z. Let k(h) = 4*h**2 + h. Let r(l) = 2*l**2. Let o(b) = z*r(b) - 2*k(b). Find the second derivative of o(w) wrt w.
4
Let w be (6 - 6)*1/1. Find the third derivative of 8*t**2 - 6*t**3 + w*t**2 - 2*t**2 wrt t.
-36
Let h(i) be the third derivative of -1/60*i**5 + 0*i**4 + i**2 + 0 + 0*i + 0*i**6 - 1/30*i**7 + 0*i**3. Find the third derivative of h(j) wrt j.
-168*j
Let t(k) be the first derivative of -4*k**3/3 - 5*k + 2. What is the first derivative of t(d) wrt d?
-8*d
Let r(l) = -4. Let v(u) = -u**2 - 1. Let f(n) = -r(n) - 4*v(n). Find the first derivative of f(c) wrt c.
8*c
Let w(f) = -f**3 + 7*f**2 - 7*f + 9. Let a be w(6). Suppose -7*c = -a*c - 5*r + 13, -c + r - 2 = 0. What is the third derivative of 2*g**4 + g**2 + c - 3 wrt g?
48*g
Suppose 0 = 4*r + r - 10. Let f(n) be the first derivative of n**2 + 1/4*n**4 + 0*n**3 + r + 0*n. Find the second derivative of f(t) wrt t.
6*t
Let s(h) = -h**2 + 7*h - 6. Let x be s(5). Differentiate -14*k**4 - 1 + 1 - 6 + 9*k**x with respect to k.
-20*k**3
Suppose 0 = u - 4 - 0. Let v = -8 + 10. What is the third derivative of -3*l**v - 2*l**2 + 2*l**2 - l**4 + 2*l**u wrt l?
24*l
Find the third derivative of -3*i**2 - 13*i**3 + 6*i**2 + 10*i**2 - 24*i**2 wrt i.
-78
Let a = 2 + 6. Let o be 10/2 + (-15)/5. Find the third derivative of -f**5 - f**5 - a*f**2 + 11*f**o wrt f.
-120*f**2
What is the third derivative of 0*l**3 + 7*l - 34*l - 2*l**2 - 35*l**3 + 18*l wrt l?
-210
Let t(y) be the third derivative of 3*y**6/40 - 11*y**3/6 + 5*y**2. Differentiate t(a) with respect to a.
27*a**2
Suppose 5*x + 21 = 2*m - 9, 2*x + 8 = 0. What is the third derivative of 5*v**2 + v**m - 3*v**5 + v**2 - 5*v**2 wrt v?
-120*v**2
Let h(c) be the se