ivative of h**5/15 - h**3/3 + 5*h**2. What is the derivative of b(l) wrt l?
8*l
Let f(d) be the third derivative of -3*d**2 - 1/12*d**4 + 0 + 1/60*d**6 + 0*d**5 + 0*d**3 + 0*d. What is the second derivative of f(o) wrt o?
12*o
Suppose 2*c = 2 + 4. Find the second derivative of 5*z + 3*z**c - 4*z + 0*z wrt z.
18*z
Differentiate 4 + 0 - 18*q**4 + 1 + 2 with respect to q.
-72*q**3
Let f(w) = w**2 + 6*w - 5. Suppose 2*j = 7*j + 5*d + 40, 3*j + 4*d + 25 = 0. Let a be f(j). Differentiate -2*b**a - 1 + 1 - 2 with respect to b.
-4*b
Let x be -3*((-3)/3 + 0). Find the second derivative of -v**2 - 5*v - 3*v**2 - x*v wrt v.
-8
Suppose -2*h + 25 = 3*h. What is the third derivative of 8*u**2 - 2*u**3 + 0*u**3 - 5*u**2 - h*u**2 wrt u?
-12
Let y(t) be the second derivative of -7*t**6/30 - 9*t**2/2 + 5*t. Differentiate y(l) with respect to l.
-28*l**3
What is the third derivative of 0*r + 94*r**3 + 2*r - 39*r**2 - 52*r**3 wrt r?
252
Let h = 3 - -1. What is the second derivative of 2*p**2 + p**2 + 5*p**2 + h*p + 0*p**2 wrt p?
16
What is the derivative of 12 - 36*l**2 + 21*l**2 + 5*l - 5*l wrt l?
-30*l
Let r(i) = 7*i + 8. Let w(b) = -b - 1. Let u(c) = -r(c) - w(c). What is the derivative of u(z) wrt z?
-6
Let k(m) be the second derivative of 3*m**5/20 + 7*m**4/12 + 3*m. Find the third derivative of k(b) wrt b.
18
Let x be (-78)/30 + (-2)/5. Let q(p) = p**2 + 3*p + 2. Let w be q(x). Find the first derivative of -4*k - w*k**4 + 4*k - 3 wrt k.
-8*k**3
Let j(o) = -11*o - 8. Let v(y) = -33*y - 25. Let k(a) = -14*j(a) + 4*v(a). Differentiate k(r) with respect to r.
22
Let k(o) = o**3 + 9*o**2 + o + 11. Let l be k(-9). Let h(i) be the first derivative of -2 + i + 2/3*i**3 + 0*i**l. What is the derivative of h(u) wrt u?
4*u
Let i(m) = m**2 + m - 1. Let a(z) = 9*z**2 + 11*z - 14. Let o(d) = 2*a(d) - 22*i(d). What is the derivative of o(u) wrt u?
-8*u
What is the third derivative of 17*i**2 + i**2 + 2*i**5 + 6*i**5 wrt i?
480*i**2
What is the second derivative of 5*q + 8*q**2 - 4*q + 4*q + 2*q wrt q?
16
Find the third derivative of 6*i**2 + 25*i**2 + 11*i**2 - 33*i**3 + 10*i**2 wrt i.
-198
Let s(k) be the first derivative of k**7/840 - k**5/20 + 4*k**3/3 - 8. Let u(q) be the third derivative of s(q). What is the second derivative of u(a) wrt a?
6*a
Let a(i) be the first derivative of -9*i**4/2 - 10*i**3/3 + 19. Find the third derivative of a(o) wrt o.
-108
Suppose -9 = -2*s + r, -2*r - 8 = s - 0*r. Let v be 2 - 2 - (s + -4). Find the third derivative of -2*n**2 + 2*n**6 + 2*n**2 + 0*n**2 + 2*n**v wrt n.
240*n**3
Let j(i) = 3*i**3 + 11*i + 9. Let l(g) = -2*g**3 - 6*g - 5. Let k(c) = 6*j(c) + 11*l(c). What is the first derivative of k(x) wrt x?
-12*x**2
Let z(r) be the second derivative of -r**6/30 - 3*r**5/10 + 2*r**4/3 + 3*r**2/2 + 41*r - 2. What is the third derivative of z(c) wrt c?
-24*c - 36
Let q(c) = c**4 - c**3 - c**2 - c - 1. Let w(y) = -9*y**4 + 3*y**3 - 4*y**2 + 3*y + 3. Let m(s) = 6*q(s) + 2*w(s). What is the third derivative of m(g) wrt g?
-288*g
Let y = 5 + -2. Find the third derivative of r**3 - 3 - 3*r**3 + 3 - y*r**2 wrt r.
-12
Let t be -2*(-6)/4 + 2. Suppose 3*z + t = 14. What is the second derivative of -3*q + 0*q**3 + 2*q**z - 2*q**3 - 2*q**5 wrt q?
-40*q**3
Let m(u) be the first derivative of 29*u**6/6 + 11*u**2/2 - 40. What is the second derivative of m(q) wrt q?
580*q**3
Let g = 23 + -16. Let m(w) = 3*w**3 + 6*w**2 + 15*w. Let a(j) = -4*j**3 - 7*j**2 - 16*j. Let h(d) = g*m(d) + 6*a(d). Find the second derivative of h(x) wrt x.
-18*x
Let i(d) be the third derivative of -4*d**7/35 + 25*d**4/24 - 41*d**2. What is the second derivative of i(a) wrt a?
-288*a**2
What is the second derivative of 8*l - 9*l**5 + 6*l**5 + 34*l**4 + l**5 wrt l?
-40*l**3 + 408*l**2
Let g = 1 + -1. Suppose g = 5*r - a - 14, 2*a + 3 = 5. Find the first derivative of 1 - 6*o**3 + 4*o**r + 0 wrt o.
-6*o**2
Suppose 0 = -t + 2*d + 2, 2 = -5*t - 3*d + 12. What is the second derivative of 0*p**5 + 4*p - 11 + 11 - t*p**5 wrt p?
-40*p**3
Suppose -t = 0, 4*v + t = -0*v + 8. What is the third derivative of 2*c**6 - 4*c**6 + 0*c**6 - 2*c**v wrt c?
-240*c**3
Suppose 0 = -y - m - 5, m + 0*m = -5*y - 21. Let p(j) = -j**3 - 5*j**2 - 6*j. Let g be p(y). What is the second derivative of -8*f**2 + f**3 - f + g*f**2 wrt f?
6*f
Suppose 4*q - 13 + 1 = 0. What is the third derivative of -2*r**6 - 3*r**2 + q*r**6 + 2*r**6 wrt r?
360*r**3
Differentiate 2*o**4 + 13 + 2*o**4 - 16 with respect to o.
16*o**3
Let x(g) = 16*g**3 + 27*g**2 + 4. Let z(t) = -15*t**3 - 28*t**2 - 5. Let j(m) = 5*x(m) + 4*z(m). What is the third derivative of j(l) wrt l?
120
Let q be ((-10)/(-6))/5*27. Let t be (-1)/(6/q - 1). What is the third derivative of -2*i**2 + 3*i**3 + i**2 - 2*i**t - i**2 wrt i?
6
What is the second derivative of 32*g**2 + 10*g**4 - 64*g**2 + 32*g**2 + 6*g wrt g?
120*g**2
Let z = 15 + -11. Suppose -5*l - z*y = -41, 0*y + 2 = -2*l + 3*y. Differentiate -2 - 4*w**3 - 5*w**3 + l*w**3 - 3 with respect to w.
-12*w**2
Differentiate 11*q**2 - 13 - 1 + 45*q**2 wrt q.
112*q
Let i = -8 - -10. Let a be 5/(5/i)*1. What is the third derivative of -4*l**4 + a*l**4 + 0 + 3*l**2 + 0 wrt l?
-48*l
Let q = 17 - 15. Find the third derivative of -6*z**3 - 2*z**q + 5 - 5 wrt z.
-36
Let q(l) = l**3 + l. Let s(m) = 3*m**3 + m**2 + 4*m. Let v(c) = -c + 3. Let h be v(-9). Let a(x) = h*q(x) - 3*s(x). Find the third derivative of a(g) wrt g.
18
Let y(m) be the third derivative of 5/24*m**4 + m**2 + 0 + 1/3*m**3 + 0*m. What is the derivative of y(t) wrt t?
5
What is the second derivative of 3*l**3 + 8*l**3 + 70*l + l**4 - 2*l**3 - 2*l wrt l?
12*l**2 + 54*l
Let u(s) = -7*s**2 - 2. Let i(t) = -t**2 + 1. Let l(w) = -6*i(w) - 2*u(w). What is the derivative of l(n) wrt n?
40*n
Suppose 6 = q - y + 2, -5*y - 10 = 0. Let x(n) be the second derivative of 1/6*n**3 + 0 - q*n + n**2. Differentiate x(l) wrt l.
1
Let y(c) = -7*c**5 - 2*c**4 + 2*c**2 + 5*c - 2. Let l(w) = w**4 - w**2 + 1. Let u(v) = 2*l(v) + y(v). What is the second derivative of u(z) wrt z?
-140*z**3
Let d(o) be the first derivative of o**7 - 2*o**5/5 - 40*o**3/3 + 48. What is the third derivative of d(j) wrt j?
840*j**3 - 48*j
Find the first derivative of 4*n**3 + 2*n**2 - 2*n**2 - 12*n**3 - 15 wrt n.
-24*n**2
Let l(c) = -c**3 + 4*c**2. Let a be l(4). Suppose -4*b - 14 + 34 = 0. What is the second derivative of -p**b + a*p + p - 2*p wrt p?
-20*p**3
Suppose 2*y = r + 4, r + 13 = y + 4*y. Let p = y + -1. Find the third derivative of -3*t**6 + t**p + t**6 + 3*t**6 wrt t.
120*t**3
Let s(y) = -6*y**3 - 2*y**2 + 1. Let j be s(-1). Find the second derivative of c - c**j + 2*c - 2*c wrt c.
-20*c**3
Suppose 5 = 3*s - 1. Differentiate v**3 - 1 - s*v**3 + 2 with respect to v.
-3*v**2
Let g(d) be the second derivative of -9*d**8/14 - 4*d**4/3 - 24*d. Find the third derivative of g(c) wrt c.
-4320*c**3
Suppose 3 = -f + 3*v - 0, 2*f + 2*v = 26. Find the second derivative of -f*b + 2 - 2 + 11*b + 4*b**5 wrt b.
80*b**3
Let o be 3 - (0 + -3 - -3). Find the third derivative of -o*y**2 - 3*y**5 + 7*y**5 + y**5 wrt y.
300*y**2
Suppose -4*m - m = -3*q - 22, 0 = -5*m - q + 6. Suppose 4*b - m = 6. What is the derivative of -3*o**2 - 1 + 3*o**b + o**3 wrt o?
3*o**2
Let h(q) = 2*q**3 + q - 3. Let f(d) = 5*d**3 + 4*d - 8. Let j(w) = 3*f(w) - 8*h(w). Find the second derivative of j(l) wrt l.
-6*l
Let y(s) be the second derivative of s**7/42 + s**3/6 + 3*s**2 + 3*s. Let m(v) be the first derivative of y(v). Find the first derivative of m(w) wrt w.
20*w**3
Find the second derivative of -79*n**4 + 2*n**2 + 93*n**4 - 2*n**2 - 11*n wrt n.
168*n**2
Suppose -3 = -g + 3. Find the second derivative of -4*i**2 - g*i**2 + 11*i**2 - 2*i wrt i.
2
Suppose 3*g = -5 + 20. What is the third derivative of -g*h**2 + 0*h**4 - h**4 + 2*h**2 + 0*h**2 wrt h?
-24*h
Let v(u) be the third derivative of u**5/6 - 2*u**3/3 - 28*u**2. Find the first derivative of v(q) wrt q.
20*q
Let j be (-69)/(-21) + 4/(-14). Let o(x) = x - 2. Let k be o(4). What is the second derivative of -2*b**k + j*b**2 - 2*b**2 - b wrt b?
-2
Let y(l) be the first derivative of -3 + 0*l**3 + 0*l**2 + 0*l**4 - 3*l + 1/5*l**5. Find the first derivative of y(g) wrt g.
4*g**3
Let l(c) = 2*c**3 - 5*c**2 + 6. Let a(t) = 3*t**3 - 6*t**2 + 5. Let v(b) = 6*a(b) - 5*l(b