third derivative of 3*x**6/20 - 7*x**5/60 + 7*x**2. What is the third derivative of i(h) wrt h?
108
Let a(u) be the first derivative of -u**8/84 + 5*u**4/24 + 9*u**2/2 - 8. Let q(y) be the second derivative of a(y). What is the second derivative of q(f) wrt f?
-80*f**3
Let q(f) be the third derivative of -5*f**4/24 + f**3/3 - 4*f**2. Find the first derivative of q(z) wrt z.
-5
Let g(a) be the second derivative of -a**6/30 - a**4/8 + 3*a**2/2 + 3*a. Let b(f) be the first derivative of g(f). Find the second derivative of b(c) wrt c.
-24*c
Let p(z) be the first derivative of z**6/3 + z**3/3 - 2. What is the third derivative of p(b) wrt b?
120*b**2
Let a(b) be the second derivative of 5*b**3/3 - 5*b**2 - 6*b. Differentiate a(z) with respect to z.
10
Let w(o) = -14*o**3 - o - 1. Let h be w(-1). What is the third derivative of h - 4*b**2 - 3*b**3 - 14 wrt b?
-18
Let i(h) = 34*h + 42. Let r(l) = -11*l - 14. Let f(c) = -4*i(c) - 11*r(c). Differentiate f(t) wrt t.
-15
What is the derivative of 540*s**2 - 11 - 540*s**2 - 17*s**3 wrt s?
-51*s**2
Let a(x) be the third derivative of -x**8/336 - x**6/180 + x**3/6 + 3*x**2. Let t(o) be the first derivative of a(o). Find the third derivative of t(i) wrt i.
-120*i
What is the third derivative of -3*p**2 - 3*p**2 - 3*p**3 - 3*p**3 wrt p?
-36
What is the first derivative of 3 - 3*t**4 - 5 + 1 - 5 wrt t?
-12*t**3
Let p be (-80)/(-36) - (-4)/(-18). Let v = 4 - p. Differentiate v - 1 + 3*t**3 - 2 wrt t.
9*t**2
Let v(q) be the first derivative of -7*q**5/5 - 5*q**2/2 - 7. Find the second derivative of v(g) wrt g.
-84*g**2
Let z(i) be the third derivative of -i**10/25200 + i**6/80 + i**5/10 + 6*i**2. Let b(r) be the third derivative of z(r). Differentiate b(v) with respect to v.
-24*v**3
Suppose w + w = 6. Find the third derivative of -2*h**2 - 2*h**2 + 2*h - 2*h - h**w wrt h.
-6
Suppose -11*n = -10*n. Let z(l) be the second derivative of l + 1/30*l**6 + 0*l**5 + 0*l**3 + 0 + n*l**2 + 1/12*l**4. Find the third derivative of z(i) wrt i.
24*i
Let d(c) = 2*c + 4. Let s(y) = 3. Let h(k) = -1. Let m(j) = -7*h(j) - 2*s(j). Let w(l) = 2*d(l) - 10*m(l). Differentiate w(r) wrt r.
4
Let g(x) = -x**2 - x. Let d(h) = -7*h**2 + h + 6. Let v(b) = d(b) - 5*g(b). Let y(m) be the first derivative of v(m). Find the first derivative of y(w) wrt w.
-4
Let k be -1*1*(-1 + -10). Let q = 16 - k. What is the second derivative of 0*u + 6*u**q - 3*u**5 + 2*u wrt u?
60*u**3
Find the second derivative of 2*z + 164*z**4 + 3*z - 162*z**4 wrt z.
24*z**2
Let u(a) be the first derivative of 14*a**2 + 22*a - 29. What is the derivative of u(c) wrt c?
28
Let r(c) be the second derivative of 1/12*c**4 - 1/30*c**6 + 0*c**5 + 0 + 0*c**2 - c + 0*c**3. What is the third derivative of r(p) wrt p?
-24*p
Suppose 5*j + 0*j = 5. What is the second derivative of 4*a - 4 - 2*a**2 + 5 - j wrt a?
-4
Let w(d) = -13*d**3 + 2*d + 13. Let x(v) = -1065*v**3 + 165*v + 1065. Let n(s) = -165*w(s) + 2*x(s). What is the first derivative of n(t) wrt t?
45*t**2
Let v(j) = -j**3 - 4*j**2 - 4*j. Let b(i) = -2*i + 7*i**2 + 4*i + 8*i - 3*i + 2*i**3 + 1. Let y(g) = 4*b(g) + 7*v(g). What is the derivative of y(t) wrt t?
3*t**2
Let k(f) = -f - 1. Let j(a) = 16*a - 4. Let v(b) = -j(b) + 3*k(b). What is the first derivative of v(q) wrt q?
-19
Suppose -y + h + 4 = 0, -5*h + 0*h - 20 = -4*y. Suppose 2*l - 10 = -y. What is the third derivative of -c**4 - 5*c + l*c + c**2 wrt c?
-24*c
Suppose 0 = 6*m - 3*m. Let l(b) be the first derivative of -2/3*b**3 - 2*b + m*b**2 + 1. What is the first derivative of l(d) wrt d?
-4*d
Find the first derivative of 28*d + 1 + 16*d - 10*d - 3 wrt d.
34
What is the second derivative of 2 - 6 + 2*j**4 + 4*j + 15*j**4 + 2*j**3 wrt j?
204*j**2 + 12*j
Let z(x) be the second derivative of 1/10*x**6 + 0*x**5 + 0*x**3 - 1/2*x**2 + 0 - x + 0*x**4. What is the first derivative of z(w) wrt w?
12*w**3
Let j(p) be the second derivative of p**9/3024 - p**7/840 + p**4/2 + 2*p. Let d(z) be the third derivative of j(z). What is the third derivative of d(v) wrt v?
120*v
Let a be 14/(-21) + 22/6. Find the third derivative of a*i**2 - 5*i**2 + 6*i**4 - 4*i**2 wrt i.
144*i
What is the second derivative of 25*r - 20*r - 17*r**2 - 17*r wrt r?
-34
Let b(h) = 11*h**4 + 6*h - 9. Let t(p) = -2*p**4 + p**4 + 1 - p + 0. Let j(i) = b(i) + 6*t(i). What is the derivative of j(f) wrt f?
20*f**3
Let b be (-6)/(-2)*(-2)/2. Let l = 6 + b. What is the second derivative of 0*o**l + 0*o**3 - 3*o**3 - o wrt o?
-18*o
Let m(s) be the second derivative of 5*s**8/56 - 7*s**4/12 - s. What is the third derivative of m(d) wrt d?
600*d**3
Let i(w) = 36*w - 29. Let s(l) = -36*l + 29. Let r(v) = -3*i(v) - 2*s(v). What is the first derivative of r(m) wrt m?
-36
Let w(b) = -b**2 - 13*b - 10. Let p be w(-12). Differentiate -2 - 2 + 0*c**2 + 7 - c**p wrt c.
-2*c
Suppose 0 = 3*u + 5*y - 4, 2*u + u - 3*y - 12 = 0. What is the third derivative of -6*t**2 - 2*t**5 + u*t**2 + 2*t**2 wrt t?
-120*t**2
Let r(t) = -t**2 + t - 1. Let m(f) = -24*f**4 + 6*f**2 + 22*f + 6. Let k(v) = m(v) + 6*r(v). What is the second derivative of k(b) wrt b?
-288*b**2
What is the third derivative of f**3 - 14*f**2 + 16*f**2 + 6*f**3 wrt f?
42
Find the second derivative of -50*y - 6*y**5 + 57*y + 1 - 1 wrt y.
-120*y**3
What is the third derivative of 0*s**4 - 2*s**4 - 4*s**2 - 5*s**2 wrt s?
-48*s
Find the third derivative of -6*q**2 - 13*q**3 + 1 - 1 + 15*q**3 wrt q.
12
Let z(m) be the third derivative of 37*m**6/120 - 14*m**3/3 + 16*m**2. What is the first derivative of z(j) wrt j?
111*j**2
Let m(r) be the second derivative of -r**5/30 - 2*r**3/3 + 2*r**2 + 2*r. Let i(d) be the first derivative of m(d). What is the first derivative of i(q) wrt q?
-4*q
Find the second derivative of -y**4 - y**4 - 3*y + y - 2*y wrt y.
-24*y**2
Suppose 4*l - 4*k = -3*k - 19, -5*k + 5 = -2*l. Let q = l + 8. Find the second derivative of -6*p + 2*p - 3*p**2 + 2*p + q*p wrt p.
-6
What is the derivative of -159*f**4 + 93*f**4 - 16 + 83*f**4 wrt f?
68*f**3
Find the third derivative of -2*y**6 - 24*y**2 + 9*y**2 - 4*y**6 wrt y.
-720*y**3
Suppose -q + 0*q = -13. Find the second derivative of -3*s**4 - 2*s - q + 13 wrt s.
-36*s**2
Let d(b) be the first derivative of b**10/720 - b**6/45 + 10*b**3/3 + 4. Let j(m) be the third derivative of d(m). What is the third derivative of j(o) wrt o?
840*o**3
Let h(g) = 26*g**4 - 5*g**3 - 16*g**2. Let y(i) = 39*i**4 - 7*i**3 - 24*i**2. Let m(s) = -7*h(s) + 5*y(s). What is the third derivative of m(j) wrt j?
312*j
Let d(v) = -v**2 - v. Let o(q) = -49*q**2 + 52*q. Let f(l) = d(l) - o(l). Find the second derivative of f(b) wrt b.
96
Let b(x) be the third derivative of -x**9/7560 - x**5/120 + x**4/24 + 5*x**2. Let a(c) be the second derivative of b(c). Differentiate a(l) wrt l.
-8*l**3
Let p(x) be the third derivative of -x**7/7 - 3*x**3 + 35*x**2. Differentiate p(w) wrt w.
-120*w**3
Let n(k) be the first derivative of 8*k**3 - 17*k**2 - 1. Find the second derivative of n(g) wrt g.
48
Let s(i) = -i. Let t(u) = 6*u - 3. Suppose 2*f + 16 = 12. Let w(v) = f*s(v) + t(v). Differentiate w(x) with respect to x.
8
Let k = 4 + -1. What is the first derivative of -2*l**3 + l**k + 4 + 0*l**3 wrt l?
-3*l**2
What is the second derivative of -10*u**3 - 13*u**5 + 10*u**3 + 6*u - 5*u wrt u?
-260*u**3
Let t(u) = -u**3 - 5*u**2 + 7*u + 6. Let h be t(-6). Differentiate 0*y - 2*y + h - 3 wrt y.
-2
Let f(o) = -11*o**3 + 4*o - 5. Let l(j) = -12*j**3 + 5*j - 6. Let h(z) = -6*f(z) + 5*l(z). Find the second derivative of h(p) wrt p.
36*p
Let m(d) = -d**3 - d**2 - d. Let u(f) = f**4 - 3*f**3 - 18*f**2 - 3*f. Let l(q) = 3*m(q) - u(q). What is the third derivative of l(k) wrt k?
-24*k
Let r(w) be the first derivative of -8/3*w**3 - 7 + 0*w + 7/2*w**2. Find the second derivative of r(j) wrt j.
-16
Let o(q) be the first derivative of 2*q**5/5 + 15*q - 21. What is the first derivative of o(s) wrt s?
8*s**3
Let r(t) = -2*t + 8 + t - 7. Let g(h) = h**2 - 7*h + 6. Let f(a) = -3*g(a) + 21*r(a). What is the first derivative of f(q) wrt q?
-6*q
Let d(c) = -c**2 + 2*c + 1. Let y be d(-1). Let z = y + 4. Find the third derivative of -2*n**5 - 2*n**z + 3*n**2 + n**2 + n**2 wrt n.
-120*n**2
Let k(m) = -m + 15. Let p be k(13). What is the third derivative of -30 + v**4 -