 the first derivative of 8*a**5 + 31*a + 53. What is the derivative of h(b) wrt b?
160*b**3
Suppose 4*v + 0 = 12. Find the second derivative of v*g - 2*g**5 - 3*g + 3*g wrt g.
-40*g**3
Let k = 2 + 0. What is the derivative of -w**2 - 3 + 1 - 1 - k*w**2 wrt w?
-6*w
Let r(x) = -9*x**3 + 9*x - 5. Suppose 6 + 6 = 2*g. Let m(t) = -10*t**3 + 10*t - 6. Let i(z) = g*r(z) - 5*m(z). Find the second derivative of i(v) wrt v.
-24*v
Find the second derivative of 25*n**4 - 18*n**4 + 10*n - 19*n**4 - 4*n wrt n.
-144*n**2
Let w(i) be the first derivative of i**5 - 9*i - 2. Differentiate w(z) with respect to z.
20*z**3
Let t(y) = 34*y**5 + 10*y**4 - 10*y**3 + 42*y**2 - 10. Let c(f) = -f**4 + f**3 + 1. Let u(v) = -10*c(v) - t(v). What is the third derivative of u(b) wrt b?
-2040*b**2
Let z(t) = -4*t - 6. Suppose -3*a = -5*a - 4. Let j(m) = m - 1. Let p(f) = a*j(f) + z(f). Differentiate p(x) with respect to x.
-6
Let a(s) be the third derivative of -17*s**7/210 + s**3/3 - 5*s**2. Differentiate a(t) with respect to t.
-68*t**3
Let g(b) = -13*b**3 + 11*b**2 + 14. Let d(m) = -m**3 + m**2 + 1. Let l(r) = -66*d(r) + 6*g(r). Differentiate l(n) wrt n.
-36*n**2
Let z(r) be the first derivative of 7*r**6/3 + 2*r**3/3 + 45. What is the third derivative of z(v) wrt v?
840*v**2
Let s(n) be the second derivative of -2*n**3/3 - 4*n**2 - 4*n. Differentiate s(m) wrt m.
-4
Suppose -4*f - f = -15. Suppose -14 = -4*b - 3*b. Find the third derivative of b*h**2 + 2*h**6 - 4*h**f + 4*h**3 - 3*h**2 wrt h.
240*h**3
Let v(t) be the second derivative of -t + 0*t**2 + 1/4*t**4 + 0 + 0*t**3 + 3/20*t**5. What is the third derivative of v(d) wrt d?
18
Let h(i) be the first derivative of 29*i**6/6 - 35*i**2/2 + 4. What is the second derivative of h(p) wrt p?
580*p**3
Let x = -3 - -5. Differentiate 9 - 8 + 1 + x*s**2 wrt s.
4*s
Suppose d + 4 = 5*d. Let t be (-9)/(-3)*2/6. Find the first derivative of -3 - d + 2*h**4 - 3*h**4 + t wrt h.
-4*h**3
Find the second derivative of -f - 197*f**4 - 7*f + 207*f**4 wrt f.
120*f**2
Let v(r) = -r**3 + r + 1. Let z(j) = -51*j**3 + j**2 + j + 1. Let l(i) = v(i) - z(i). What is the third derivative of l(c) wrt c?
300
Let g(j) = j - 4. Let n be g(7). Find the second derivative of -f**3 + 2*f**3 + f**n - 6*f**3 - 6*f wrt f.
-24*f
Let y(k) be the first derivative of 0*k**4 + 6 + 1/5*k**5 - k**2 + 0*k**3 + 0*k. Find the second derivative of y(t) wrt t.
12*t**2
Let m(t) = 18*t**2 - 5*t - 14. Let d(j) = -27*j**2 + 8*j + 21. Let u(x) = -5*d(x) - 8*m(x). Find the first derivative of u(o) wrt o.
-18*o
What is the first derivative of 12*o**2 + 3 + 8*o**2 - 5 wrt o?
40*o
Let r(u) = -u**2 + 2*u - 2. Let d be r(4). Let x be 12/d*15/(-6). What is the third derivative of -p**3 + 3*p**2 - x*p**3 + p**3 wrt p?
-18
Suppose -3*h = 5*h - h. Let z(p) be the first derivative of h*p**2 + 4/3*p**3 + 1/2*p**4 + 1 + 0*p. Find the third derivative of z(x) wrt x.
12
Let f(g) be the first derivative of -g**6/120 - g**5/30 + 3*g**2/2 + 1. Let p(z) be the second derivative of f(z). Find the third derivative of p(a) wrt a.
-6
Let q(n) = 17*n**4 - 4*n**3 - 4*n**2 - 10*n - 4. Let j(u) = -u**3 - u**2 + u - 1. Let z(t) = -4*j(t) + q(t). What is the second derivative of z(s) wrt s?
204*s**2
Let q(c) be the second derivative of -c**4 - 7*c**2/2 + 2*c. What is the first derivative of q(d) wrt d?
-24*d
Let o be (-207)/(-12) - 1/4. Suppose 4*x = 2*s + 16, 3*x - o = -0*x + 4*s. Find the second derivative of y**5 + 36 - 36 - x*y wrt y.
20*y**3
Suppose 5*t - 1 = 2*c, 0 = -c - 4*t - 9 + 41. Let s = c + -6. Differentiate -s*u + 3*u + u - 2 wrt u.
-2
Let c be ((-3)/(-18))/((-1)/(-2)). Let f(z) be the third derivative of -c*z**3 - 1/12*z**4 + 0*z - z**2 + 0. Differentiate f(o) with respect to o.
-2
Let x(d) = 2*d**2 - 4*d + 1. Let j(t) = -t**2 + 3*t. Let b = -8 - -5. Let g(w) = b*x(w) - 4*j(w). Differentiate g(s) with respect to s.
-4*s
Let j(q) be the first derivative of -5*q**2 + 8*q - 3. What is the derivative of j(u) wrt u?
-10
What is the third derivative of 7*d**2 + 140*d - 140*d + 21*d**5 wrt d?
1260*d**2
Let t = -4 + 6. Find the third derivative of i**t - i**5 + i**2 + 2*i**5 wrt i.
60*i**2
Let i be -2 + 9/3 + 1. Find the second derivative of c**3 - i*c - c**3 + c**5 wrt c.
20*c**3
Let k(n) = 13*n**4 - 3*n**3 + 9*n**2. Let l(d) = -13*d**4 + 4*d**3 - 9*d**2. Let x(t) = -4*k(t) - 3*l(t). Find the third derivative of x(f) wrt f.
-312*f
Let f = -1 - -3. Find the third derivative of 0*j**2 + 2*j**3 + 3*j**f - j**2 wrt j.
12
Let m(f) be the second derivative of 2*f + 0 - f**2 + 1/6*f**3. What is the derivative of m(q) wrt q?
1
Let m(x) = 2*x**3 - 3*x. Let w(q) = 3*q - 6. Let a be w(4). Let s(u) = 2*u**3 - 3*u. Let v(k) = a*m(k) - 7*s(k). What is the second derivative of v(n) wrt n?
-12*n
Let z(a) be the first derivative of 41*a**7/7 - 37*a**3/3 + 3. What is the third derivative of z(d) wrt d?
4920*d**3
Let b(q) = -5*q**2 + 60*q. Let a(m) = -10*m**2 + 119*m. Let c(p) = 4*a(p) - 9*b(p). Find the second derivative of c(g) wrt g.
10
Let n be (-69)/(-21) - 6/21. What is the third derivative of 4*g - g**2 - 4*g + 0*g + 3*g**n wrt g?
18
Suppose -18 = -4*p + 2*z, 3*p - p - 3*z = 11. Suppose r = p*m - 8, 0*m + 2*r = m + 5. What is the second derivative of 2*l + 5*l**4 - m*l**4 - l**4 wrt l?
12*l**2
Let f(g) = 300*g**2 + 170*g. Let d(z) = -23*z**2 - 13*z. Let a(x) = 40*d(x) + 3*f(x). What is the second derivative of a(l) wrt l?
-40
Let r be 3/2 + 750/12. What is the first derivative of -4 + 6*p**4 + 64*p - r*p wrt p?
24*p**3
What is the third derivative of 9*t**2 - 25*t**3 - 4*t**2 + 5*t**3 wrt t?
-120
Let u(s) = -7*s**5 - 5*s**4 - 18*s**3 + 47*s + 4. Let d(x) = x**5 + x**4 - x - 1. Let k(q) = -5*d(q) - u(q). What is the second derivative of k(g) wrt g?
40*g**3 + 108*g
Let t(r) be the first derivative of 0*r**6 - 2/7*r**7 + 0*r + 0*r**2 + r**3 + 0*r**5 - 4 + 0*r**4. What is the third derivative of t(v) wrt v?
-240*v**3
Let z(v) = -v**4 + v**2 - 1. Let q(s) = -1 + 5 + 10*s**4 - 3*s**2 - 2*s**2 - 2*s**4. Let x(u) = -q(u) - 4*z(u). Find the third derivative of x(b) wrt b.
-96*b
Suppose -2*a - 5*q + 6 - 20 = 0, -q = -3*a + 13. Suppose 3*l + 3*k + 21 = 6*l, 0 = k + a. What is the derivative of 1 + 3 - 4*v**4 - l + 2 wrt v?
-16*v**3
Suppose -5 = -11*l + 10*l. Let r(f) be the first derivative of -2 + 2/5*f**l + 0*f**3 + 0*f**4 - f + 0*f**2. Differentiate r(t) with respect to t.
8*t**3
Let v(w) = -w + 5. Let r be v(0). Let l(q) = -q**2 + 7*q - 4. Let i be l(6). What is the third derivative of 2*g**3 + 7*g**i - r*g**2 - g**3 wrt g?
6
Let m(f) be the third derivative of 0*f**5 - f**2 + 0 + 0*f**3 - 1/105*f**7 + 0*f**6 + 0*f - 5/24*f**4. What is the second derivative of m(g) wrt g?
-24*g**2
Suppose 20 = 2*c - 0*c. Suppose x + 4*x - c = 0. What is the third derivative of 3*s**2 - 3*s**x - s**2 - 2*s**5 wrt s?
-120*s**2
Let u(f) be the second derivative of -f**8/6720 - f**7/630 + f**4/6 - 4*f. Let r(x) be the third derivative of u(x). What is the third derivative of r(o) wrt o?
-6
Suppose 2*q + 12 = 4*q. Let y(w) be the second derivative of 1/15*w**q + 0*w**5 + 2*w + 1/6*w**4 + 0*w**3 + 0*w**2 + 0. Find the third derivative of y(v) wrt v.
48*v
Find the second derivative of 6*t - 2*t - 12*t**2 + 3*t wrt t.
-24
Find the third derivative of 19*t**2 + 13*t**2 - 8*t**2 + 5*t**3 + 3*t**5 - 2*t**2 wrt t.
180*t**2 + 30
Suppose 4*m - 5 - 3 = 0. What is the second derivative of -2 - m*v**4 - 19*v + 21*v + 2 wrt v?
-24*v**2
Let l(x) be the second derivative of -13*x**5/20 - 7*x**4/12 + 3*x. What is the third derivative of l(q) wrt q?
-78
Let k = 4 + -3. Let h(d) = 2*d**3 - d**2 + d - 1. Let t be h(k). What is the first derivative of -t - 3 + 5 + i**3 wrt i?
3*i**2
Suppose 4*u + 5*o = 12 + 12, 0 = -5*o + 20. What is the derivative of 2 + 4 + 4*h + 1 - u wrt h?
4
Suppose -7 - 13 = -4*p. Let y = p + -2. Find the second derivative of -5*w + 4*w - 4*w**3 + 3*w**y wrt w.
-6*w
Let p = 40 - 27. Let i(o) = -6*o**2 + 13*o + 17. Let d(a) = -3*a**2 + 6*a + 8. Let z(g) = p*d(g) - 6*i(g). Find the first derivative of z(n) wrt n.
-6*n
Suppose j + 2*l - 15 = -2*l, 5*l + 39 = 4*j. Suppose -2*k - j = -2*f - 1, -4*k = -3*f + 18. Find the first derivative of q + f*q - 1 - q wrt q.
2
What is the second derivative of -d**2 - 6*d + 11*d - d**2 - 4*d**2 wrt