**2
Let n(d) be the third derivative of -d**5/12 - 5*d**4/24 + 29*d**2. Find the second derivative of n(b) wrt b.
-10
Let f(b) be the second derivative of b**7/7 + 4*b**3/3 - b. Find the second derivative of f(v) wrt v.
120*v**3
Suppose 5*z = -3*y - 0*z + 31, 3*y = 3*z + 15. Suppose 5*g + 4*b - y = -1, 1 = -b. What is the second derivative of -3*t**2 - t - t**g + 2*t + t wrt t?
-8
Let n(t) be the second derivative of 0 + 1/6*t**4 + 0*t**5 + 0*t**2 - 3*t + 1/21*t**7 + 0*t**6 + 0*t**3. What is the third derivative of n(c) wrt c?
120*c**2
Let v be 13/5 - 4/(-10). What is the second derivative of 2*f**2 - 2*f**2 - v*f + 0*f**3 - f**3 wrt f?
-6*f
Suppose 10 = 5*q - 5. Let h(r) = -r**2 - 8*r + 11. Let n be h(-9). What is the second derivative of q*x - x - 6*x**n + 4*x**2 wrt x?
-4
Let z(u) be the third derivative of u**11/27720 + u**7/1260 - u**4/6 - u**2. Let b(d) be the second derivative of z(d). Find the third derivative of b(y) wrt y.
240*y**3
Let c(o) be the second derivative of -o**6/60 + o**4/12 + 2*o**2 + o. Let t(k) be the first derivative of c(k). Find the second derivative of t(u) wrt u.
-12*u
Let a(m) = 2*m**2 - 7*m + 28. Let v(j) = j**2 - 5*j + 19. Let n(t) = 5*a(t) - 7*v(t). What is the derivative of n(o) wrt o?
6*o
Let i(h) be the first derivative of 7*h**6/6 + 5*h**2 - 4. What is the second derivative of i(a) wrt a?
140*a**3
Let g(j) = -j**3 + 4*j**2 - 2*j - 2. Let l be g(3). Suppose 2*w - l = 1. What is the derivative of -2*t - t + w + t wrt t?
-2
Let g = 5 + 0. What is the second derivative of s - 4*s**5 + s**g - 3*s**3 + 3*s**3 wrt s?
-60*s**3
Suppose 0 = 2*p + 14 + 2. Let q = p + 13. What is the derivative of q*t**2 - 2*t**4 - 3*t**2 - 1 - 2*t**2 wrt t?
-8*t**3
Suppose 2*u = -2 + 8. Suppose 3 = 3*w - u. What is the first derivative of 1 - 1 + 2 - 2*p**w wrt p?
-4*p
Let t(n) = -n**5 - n**3 + 1. Let r(y) = 18*y**5 + 5*y**3 - 9*y**2 - 5. Let s(w) = -r(w) - 5*t(w). Find the third derivative of s(u) wrt u.
-780*u**2
Let l(q) be the second derivative of q**6/10 - q**4/2 - q. Find the third derivative of l(m) wrt m.
72*m
Differentiate 6 + 0*p**2 + 38*p**3 - 8*p**3 + 0*p**2 wrt p.
90*p**2
Find the third derivative of -4*n**2 + 6*n**2 + 11*n**2 + 3*n**6 - 3*n**2 wrt n.
360*n**3
Let p(k) = -15*k. Let m(f) = f - 1. Let v(i) = 2*m(i) + 2*p(i). What is the first derivative of v(a) wrt a?
-28
Suppose 2 = 5*t + 12. Let q be t/5 + (-65)/25. Let z(p) = -p**3 - 3. Let x(j) = -2*j**3 - 4. Let r(u) = q*z(u) + 2*x(u). What is the derivative of r(m) wrt m?
-3*m**2
Suppose -6*w + 17 = -3*w + 5*d, -4*d = 2*w - 12. Let k = 0 - 0. What is the third derivative of u**4 + 0*u**w - 4*u**4 - 4*u**2 + k*u**2 wrt u?
-72*u
Let v(x) be the third derivative of 0*x + 0 - 1/70*x**7 - 5/6*x**3 + 0*x**5 + x**2 + 0*x**4 + 0*x**6. Differentiate v(u) with respect to u.
-12*u**3
Find the second derivative of 5*w**3 - 2*w + 4*w + 6*w**3 wrt w.
66*w
Let n(a) be the third derivative of a**9/3024 - a**6/360 + a**3/3 + 3*a**2. Let x(c) be the first derivative of n(c). Find the third derivative of x(i) wrt i.
60*i**2
Let k = 16 + -13. What is the derivative of 3*i**3 + 5 - i**3 + k*i**3 wrt i?
15*i**2
Let a be ((-3)/(-2))/((-3)/(-4)). What is the third derivative of 6*h**5 - 4*h**5 - 2 + h**a + 2 wrt h?
120*h**2
Let s(a) = a**2 - a - 1. Let w(r) = 6*r**2 - 5*r - 3. Let f(y) = -15*s(y) + 3*w(y). Differentiate f(o) wrt o.
6*o
Let j(s) be the third derivative of 0 + 0*s**4 + 0*s + 1/20*s**5 + s**2 + 1/2*s**3. Differentiate j(x) wrt x.
6*x
Let n(h) = 2*h**2 + 2*h + 3. Let m(w) = 1. Let i(f) = 6*m(f) - 2*n(f). What is the second derivative of i(t) wrt t?
-8
Let n(u) be the first derivative of 3*u**4 - 4*u**3 - 9. What is the third derivative of n(k) wrt k?
72
Let p(c) be the second derivative of -c**8/420 - c**6/36 + c**3/6 - 6*c. Let z(l) be the second derivative of p(l). What is the third derivative of z(k) wrt k?
-96*k
Let j(b) = -b**3 - b + 1. Let y(u) = -5*u**3 + 6*u - 15. Let t(s) = 6*j(s) + y(s). Differentiate t(p) with respect to p.
-33*p**2
Let r(w) = w**3 - 5*w**2 + 4*w. Let z be r(3). Let f = 9 + z. What is the derivative of -f + 3 + 1 + x**4 wrt x?
4*x**3
Suppose -m = -3*m + 8. What is the second derivative of 5*l**5 + l + l**m - 2*l - l**4 wrt l?
100*l**3
Let b(x) = -26*x**4 + 6*x**3 - 24*x + 6. Let l(n) = 27*n**4 - 5*n**3 + 25*n - 5. Let a(i) = -5*b(i) - 6*l(i). Find the second derivative of a(w) wrt w.
-384*w**2
Let m(x) be the third derivative of x**8/3360 + x**5/30 + x**4/6 + 4*x**2. Let c(s) be the second derivative of m(s). Differentiate c(p) with respect to p.
6*p**2
Let w(d) = -d**5 - d**4 - 1. Let k(a) = 21*a**5 + 18*a**4 + 6*a + 18. Let c(o) = k(o) + 18*w(o). Find the second derivative of c(b) wrt b.
60*b**3
What is the first derivative of -12*r - 17*r + 5 + 6*r wrt r?
-23
Find the first derivative of 59 - 18 + 36*i**4 - 39*i**4 wrt i.
-12*i**3
Let q(s) = 66*s**3 + 20*s**2 + 16. Let m(y) = -13*y**3 - 4*y**2 - 3. Let d(n) = 16*m(n) + 3*q(n). Find the third derivative of d(w) wrt w.
-60
Let j(x) be the first derivative of -17*x**6/3 + 6*x**2 - 13. Find the second derivative of j(p) wrt p.
-680*p**3
Suppose 5*m - v - 3 = 11, -5*v - 18 = m. Suppose 0 = p + 2*w + 2, -m*p - w + 4 = p. What is the second derivative of 0*c + c**p + c + c wrt c?
2
Suppose 1 = -4*v + 5. Let h be -1 + v + 2 + 1. Find the third derivative of 4*s**2 + 3*s**h - 3*s**2 - 5*s**3 wrt s.
-12
Suppose -2*p + 2 = -4. Let x(j) = j**4 - j**2 - 3*j - 3. Let y(b) = -b**4 + b + 1. Let v(r) = p*y(r) + x(r). Find the third derivative of v(h) wrt h.
-48*h
What is the second derivative of -19*d + 33*d - 15*d**3 + 6*d wrt d?
-90*d
Let b(t) = -t - 2. Let m be b(-3). Suppose -3*c + 9*z + 24 = 4*z, -24 = -4*c + 4*z. Differentiate 0 + 2*w**3 + 0*w**c - m wrt w.
6*w**2
Let b(d) = -d**2 - 1. Let i(o) = 3*o**3 - 6*o**2 - 20*o - 6. Let g(c) = -6*b(c) + i(c). Find the second derivative of g(z) wrt z.
18*z
Let z = 13 + -1. Let m be 1/(-4) - (-87)/z. What is the third derivative of -4*q**2 - m*q**3 - 4*q**5 + 7*q**3 wrt q?
-240*q**2
Let d = 67 - 67. Let q(h) be the first derivative of 0*h**6 - h**3 + 0*h + d*h**4 + 0*h**2 + 2/7*h**7 + 0*h**5 - 3. What is the third derivative of q(o) wrt o?
240*o**3
Let n(t) be the second derivative of -t**4/2 - 20*t**3/3 - 45*t. Find the second derivative of n(d) wrt d.
-12
Let l(a) = 6*a**3 - 4*a**2 - 2*a + 4. Let h(i) = i**2 - 1. Let m(t) = 4*h(t) + l(t). Find the second derivative of m(b) wrt b.
36*b
Let n(t) be the first derivative of 2 - 1/4*t**4 - t + 0*t**2 + 0*t**3. What is the first derivative of n(u) wrt u?
-3*u**2
Suppose -4*a + 3 = -a. Let s = 1 + a. What is the second derivative of -k**2 + k**3 - k + k**s wrt k?
6*k
Let u(f) be the third derivative of f**8/84 + f**5/6 - 9*f**2. What is the third derivative of u(q) wrt q?
240*q**2
Let s(y) be the second derivative of -y**8/2240 + y**5/40 + y**4/3 - 3*y. Let k(x) be the third derivative of s(x). Differentiate k(r) with respect to r.
-9*r**2
Let u(i) be the first derivative of 9*i**5/5 + i - 11. Differentiate u(g) with respect to g.
36*g**3
Let u = 2 + 0. What is the third derivative of 0*a**4 + a**2 - 2*a**4 + u*a**2 - 5*a**2 wrt a?
-48*a
Let l(j) be the third derivative of 0 + 0*j**6 - 1/168*j**8 + 0*j**3 + 0*j - 3*j**2 + 0*j**5 - 1/6*j**4 + 0*j**7. What is the second derivative of l(n) wrt n?
-40*n**3
What is the second derivative of 10*w**5 - 8*w + 4*w - 9*w + 24*w**5 wrt w?
680*w**3
Let q(d) be the second derivative of 0*d**3 - 3/20*d**5 + 0*d**2 + 0 + 1/4*d**4 - 4*d. What is the third derivative of q(n) wrt n?
-18
Let j(f) be the second derivative of -f**8/84 - f**5/15 - 5*f**2/2 - 5*f. Let r(v) be the first derivative of j(v). What is the third derivative of r(o) wrt o?
-240*o**2
What is the third derivative of -27*k**2 + 25*k**2 + 7*k**5 - 3*k**5 wrt k?
240*k**2
Suppose 3*k + k = 0. Let z(t) be the third derivative of 1/24*t**4 + 0 + k*t**5 - 2*t**2 + 1/60*t**6 + 0*t + 0*t**3. Find the second derivative of z(n) wrt n.
12*n
What is the first derivative of -w**3 - 4 + 1 + 2 wrt w?
-3*w**2
Let x(u) be the second derivative of 0 + 1/4*u**5 + 2*u**2 + 3*u + 0*u**3 + 0*u**4. What is the derivative of x(t) wrt t?
15*t**2
Suppose 3*z - 7 = -1. What is the derivative of 4 - z - 4 + 3*c**3 wrt c?
9*c**2
Let y(c) be the fir