f -v**5/5 - 15*v**2/2 + 2. What is the second derivative of m(h) wrt h?
-12*h**2
Let v(c) = 6*c**4 - 3*c**2 - 3*c - 8. Let m(h) = -30*h**4 + 14*h**2 + 14*h + 40. Let z(g) = -3*m(g) - 14*v(g). Find the first derivative of z(s) wrt s.
24*s**3
Let k(t) be the first derivative of t**4/2 - 8*t**3/3 - 11. What is the third derivative of k(g) wrt g?
12
Suppose 33 - 7 = a. Let l be 2 - a*3/6. Let z(h) = 10*h**2 + 6. Let p(m) = -2*m**2 - 1. Let x(s) = l*p(s) - 2*z(s). Differentiate x(i) wrt i.
4*i
Let s be 10/4 + 5/10. Suppose c + s = 2*c. Differentiate 0 + y**c - 3*y**3 + 3 - 2 wrt y.
-6*y**2
Let o(t) be the second derivative of t**6/360 - 5*t**4/24 + 2*t**3/3 + 2*t. Let k(p) be the second derivative of o(p). Differentiate k(a) with respect to a.
2*a
Find the second derivative of 101 - i**2 - 101 + 7*i wrt i.
-2
Let s(g) be the third derivative of -g**8/48 + 5*g**4/12 + 8*g**2. Find the second derivative of s(o) wrt o.
-140*o**3
Find the third derivative of 7*x**2 - 5*x**3 + 26 - 26 wrt x.
-30
Let a be 1 - (-3 + (-1)/(-1)). Let m(p) = 6*p - 9. Let i(g) = 2*g - 3. Let x(f) = a*m(f) - 8*i(f). Differentiate x(d) with respect to d.
2
What is the third derivative of -29*v**2 + 2*v**5 + 19*v**5 + 7*v**5 + 12*v**5 wrt v?
2400*v**2
Let z(i) be the third derivative of 5*i**8/112 + i**4/12 - 16*i**2. Find the second derivative of z(b) wrt b.
300*b**3
Let c(k) = 8*k**3 - 3*k. Let z(g) = 9*g**3 - 4*g - 1. Let r(n) = -n + 10. Let u be r(7). Let a(o) = u*z(o) - 4*c(o). What is the derivative of a(i) wrt i?
-15*i**2
Suppose -3 = o - 5. Suppose 4*t - 13 = -1. Differentiate -6 + 2*g + t + o with respect to g.
2
Suppose 2*r = m - 2*r + 4, -6 = -3*r. Let t = m - 2. Find the second derivative of -t*a**2 + 3*a - 2*a + a wrt a.
-4
Find the second derivative of 6*k**2 + 3*k**3 - 19*k - 5*k**2 - 5*k wrt k.
18*k + 2
Differentiate -20*v**4 - 8 + 19 - v**2 + v**2 with respect to v.
-80*v**3
Let q(o) be the second derivative of 4*o**7/21 - o**4/6 - 2*o. Find the third derivative of q(y) wrt y.
480*y**2
Find the second derivative of 20*l**3 + 9*l + 1215*l**2 - 1215*l**2 wrt l.
120*l
Let v = 14 - 14. Differentiate 5 + 2*m**3 - 7*m**3 + v*m**3 with respect to m.
-15*m**2
Let j(z) be the second derivative of 3*z + 0*z**2 - 1/6*z**6 + 0*z**5 - 5/6*z**3 + 0 + 0*z**4. Find the second derivative of j(g) wrt g.
-60*g**2
Let p(l) be the third derivative of -l**5/15 + l**4/2 + 5*l**2. What is the second derivative of p(z) wrt z?
-8
Let r(o) be the third derivative of -o**7/5040 + o**6/240 + o**5/30 - o**2. Let z(x) be the third derivative of r(x). What is the derivative of z(m) wrt m?
-1
Let k(j) = -2*j**4 + 3*j**2 - 3*j - 2. Let a(z) = z**4 - 4*z**2 + 4*z + 1. Let t(o) = -3*a(o) - 4*k(o). Find the first derivative of t(g) wrt g.
20*g**3
Let b(v) = 3*v**3 + 1. Let m(l) = -8*l**3 - 2. Let d(y) = -2*y - 9. Let n be d(-10). Let a(h) = n*b(h) + 4*m(h). Differentiate a(s) wrt s.
3*s**2
Let a(q) = -q**3 - 4*q**2 - q + 1. Let m be a(-4). Differentiate m - 8*z + 5*z - 2 with respect to z.
-3
Let b(d) be the first derivative of 8*d**5/5 + 4*d**2 - 3. Find the second derivative of b(o) wrt o.
96*o**2
Suppose d = 6*d - 25. Suppose 3*u - 19 = -4*q, 0*q - q + 2 = -2*u. Differentiate u - 3 + g**4 + d with respect to g.
4*g**3
Let t(i) = 4*i**2 + 1. Let r be t(1). Let y(h) = -2*h + 3. Let v(m) = -m + 2. Let d(k) = r*y(k) - 7*v(k). What is the derivative of d(g) wrt g?
-3
Let s be 0*1/3 + -5. Let o(x) = 5*x**3 - 5*x - 4. Let t(p) = p**4 + p**3 - p. Let u(v) = s*t(v) + o(v). What is the derivative of u(i) wrt i?
-20*i**3
Let s(w) be the second derivative of -w**8/560 - w**6/40 - w**3/3 + 7*w. Let v(u) be the second derivative of s(u). Find the third derivative of v(t) wrt t.
-72*t
Let u(f) be the third derivative of 13*f**7/210 + 2*f**4/3 - 15*f**2. Find the second derivative of u(j) wrt j.
156*j**2
Find the second derivative of -13*q**2 + 13*q**2 - 3*q + 4*q - 9*q**3 wrt q.
-54*q
Let w(x) be the third derivative of x**7/2520 - x**5/24 + x**4/6 + x**2. Let p(o) be the second derivative of w(o). What is the first derivative of p(t) wrt t?
2*t
Let y(c) be the first derivative of -1/2*c**6 - 1/3*c**3 + 0*c + 0*c**2 + 0*c**4 + 0*c**5 + 4. What is the third derivative of y(q) wrt q?
-180*q**2
Let s(n) = -n + 13. Let p be s(8). What is the third derivative of -4*i**5 + 2*i**5 - 2*i**2 + 0*i**p wrt i?
-120*i**2
Let v(q) = -q**2. Let m(n) = -4*n**3 + n**2 - 6. Let a(c) = -m(c) - v(c). Differentiate a(g) with respect to g.
12*g**2
What is the third derivative of 4*s**4 + 2*s**4 - 4*s**2 - 6*s**2 - 4*s**4 wrt s?
48*s
Differentiate -4*k**3 + 11*k**3 - 38 - 23*k**3 with respect to k.
-48*k**2
Let s(h) = h**2 + 5*h + 5. Let n be s(-4). Let o = 4 + n. Differentiate 2*j**2 - o - 1 + 5 with respect to j.
4*j
Let o(b) be the second derivative of 2*b**3/3 + b**2 - 6*b. Differentiate o(n) wrt n.
4
Let z(x) = -8*x**2 - 3*x - 3. Let r(i) = 47*i**2 + 18*i + 17. Let v(b) = 6*r(b) + 34*z(b). Find the second derivative of v(c) wrt c.
20
Let p(a) be the second derivative of -a**6/30 + a**4/12 + 3*a. Let v(l) = -7*l**4 + 2*l**2 - 1. Let t(w) = -2*p(w) + v(w). Differentiate t(x) with respect to x.
-20*x**3
Let m(f) = -f**2 - f. Let g(t) = t**2 + 6*t + 25. Let z(h) = g(h) - 2*m(h). What is the first derivative of z(o) wrt o?
6*o + 8
What is the third derivative of -3*j**2 + 9*j**3 - 4*j**3 - 6*j**2 + j**3 wrt j?
36
Let t(j) = 2*j**3 - 3*j + 4. Let n(s) = -s - 1. Let l(p) = 3*n(p) - t(p). What is the derivative of l(y) wrt y?
-6*y**2
Let c(m) be the first derivative of m**4/4 + 4*m + 2. Differentiate c(h) wrt h.
3*h**2
Let h(d) be the third derivative of -d**8/112 - d**5/15 + 4*d**2. Find the third derivative of h(s) wrt s.
-180*s**2
Find the third derivative of -2*w**3 + w**2 + 0*w**3 - 2*w**2 - 2*w**2 wrt w.
-12
Suppose 0 = -4*u + 1 + 11. Suppose u*g = -3*x - 6, -15 = -5*x + 2*g + 3. Find the first derivative of -x*p**4 - 3 + 16*p - 16*p wrt p.
-8*p**3
Let g(h) = 2*h**3 + h - 4. Let y(w) be the first derivative of -w + 1. Let b(i) = -g(i) + 4*y(i). Find the second derivative of b(x) wrt x.
-12*x
Find the first derivative of n**2 + 4 - 6*n**2 + n**2 - n**2 wrt n.
-10*n
Let o(k) = 4*k**3 + 2*k**2 + 1. Let l(x) = -20*x**3 - 11*x**2 - 5. Let r(y) = -2*l(y) - 11*o(y). Find the first derivative of r(p) wrt p.
-12*p**2
Let p be 0*(-1)/4*2. Let s(t) be the second derivative of p*t**3 - t + 0 + 0*t**2 - 1/30*t**6 - 1/6*t**4 + 0*t**5. Find the third derivative of s(c) wrt c.
-24*c
Let s = -12 - -16. Find the second derivative of 4*i**2 - s*i - 2*i**2 + 2*i**2 wrt i.
8
Suppose 2*b = x - 2*x - 4, -b = 4*x - 5. Find the second derivative of 2*k**3 + x*k - 6*k + k + 0*k**3 wrt k.
12*k
Let r = 1 + 4. What is the second derivative of -4*y + 9*y - y**2 - r*y + 5*y wrt y?
-2
Let t(v) be the third derivative of 9*v**2 + 0*v**4 + 0*v + 0*v**5 + 0 - 5/6*v**3 - 1/60*v**6. Find the first derivative of t(n) wrt n.
-6*n**2
Let u = 1 + 1. Let h = -1 - -3. What is the second derivative of g**h - 2*g**4 - g**u + g wrt g?
-24*g**2
Let d be -2 - (0 + -2)*1. Suppose 3*c - 3*i = -2*i + 7, d = 4*c - 4*i - 12. Find the third derivative of 4*w**2 - w**3 + 0*w**c - 2*w**2 wrt w.
-6
Find the first derivative of -q**3 + q**3 - 5*q**4 - 5 + 4 wrt q.
-20*q**3
Let h(d) = -d**5 + d**2 - d - 1. Let m(j) = -7*j**5 - 3*j**2 - 24*j + 3. Let v(g) = -3*h(g) - m(g). What is the second derivative of v(b) wrt b?
200*b**3
Let s(x) be the third derivative of -x**8/1680 + x**5/30 + x**4/6 + 6*x**2. Let c(b) be the second derivative of s(b). Differentiate c(q) wrt q.
-12*q**2
Let a = -13 + 8. Let k = -2 - a. What is the derivative of 0*x**3 - 10 + x**k + 9 wrt x?
3*x**2
Let x(w) = w - 2. Suppose 0 = -s + 2, 0 = -h - h + 5*s. Let q be x(h). What is the third derivative of 2*f**2 - 3*f - f**q + 3*f wrt f?
-6
Suppose t - 15 = -5*z, -4*t + 4*z + 12 = -0*t. Suppose 4*a = t*a - 2. What is the second derivative of -n + n**3 + a*n + n wrt n?
6*n
What is the second derivative of 2*x**5 + 6*x**5 + 2*x + x**5 wrt x?
180*x**3
Let p(v) = v - 5. Let y be p(7). Let f(t) be the first derivative of -2/5*t**5 + 0*t**3 + 0*t - 1 + 0*t**4 + 1/2*t**y. Find the second derivative of f(c) wrt c.
-24*c**2
Let y(w) be the third derivative of -w**8/6720 - w**6/720 - w**5/60 - 2*w**2. Let f(d) be the third der