
What is the third derivative of -6*v**4 - 21*v**2 + 8*v**2 + 0*v**4 wrt v?
-144*v
Let w(n) = -7*n**3 - 4*n**2 - 4*n + 41. Let k(z) = -z**3 - z**2. Let m(s) = -4*k(s) + w(s). Find the first derivative of m(u) wrt u.
-9*u**2 - 4
Let m(b) = -8*b**4 + 11*b**3 + 5*b**2 - 5*b - 42. Let q(i) = -i**4 + i**3 + i**2 - i - 1. Let w(u) = m(u) - 5*q(u). What is the derivative of w(k) wrt k?
-12*k**3 + 18*k**2
Let g(j) = 27*j**3 - 22*j**2 - 11. Let c(x) = x**3 - x**2 - 1. Let p(q) = -22*c(q) + 2*g(q). What is the third derivative of p(m) wrt m?
192
Let w = 2 - 3. Let m be w + 0 - (1 + -4). What is the second derivative of 6*u - u - 4*u + 3*u**m wrt u?
6
Let m(r) = 4*r**3 + 5*r**2 + 5*r + 47. Let f(c) = -6*c**3 - 7*c**2 - 8*c - 70. Let j(p) = 5*f(p) + 8*m(p). What is the derivative of j(s) wrt s?
6*s**2 + 10*s
Let w(t) be the third derivative of -t**7/14 + t**3/6 - 6*t**2. What is the derivative of w(m) wrt m?
-60*m**3
Suppose 0 = -w + 24 - 10. What is the third derivative of -17*y**6 - 6*y**2 + w*y**6 - y + y wrt y?
-360*y**3
Let u(y) be the second derivative of -3/2*y**2 + 0 - 2*y + 1/2*y**3. Find the first derivative of u(k) wrt k.
3
Let h(p) = p**2 + 5*p + 3. Let n be h(-5). What is the third derivative of 2*m**6 - m**6 + n*m**2 - 6*m**2 + 8*m**2 wrt m?
120*m**3
Let w(o) = 4*o**4 + o**2 - 10*o + 1. Let x(y) = -y**4 + y**2 - y + 1. Let n(s) = -w(s) + x(s). What is the second derivative of n(h) wrt h?
-60*h**2
Suppose 0 = -2*t + 15 - 3. Find the second derivative of -j**2 - 5*j**2 + t*j**2 - 3*j**3 + 3*j wrt j.
-18*j
What is the third derivative of -39*k**3 + 39*k**3 + 9*k**6 - 8*k**2 + k**2 wrt k?
1080*k**3
Let z = 8 - 6. Find the third derivative of -7*i - i - 3*i**z + 4*i**5 + 8*i wrt i.
240*i**2
Let z be (-2)/12 - (-3 + 20/24). Let i(b) be the second derivative of -3/2*b**z + 0 + 3*b + 1/3*b**3. Differentiate i(r) wrt r.
2
Let p(o) be the second derivative of -o**6/6 + 5*o**2/2 - 5*o. Differentiate p(k) with respect to k.
-20*k**3
Suppose -2*s + 2*z + 10 = 0, 4*s - 3*z = -0*z + 19. What is the second derivative of 4*k**s + 0*k - k - 3*k wrt k?
48*k**2
Let g(v) be the third derivative of 1/4*v**4 + 6*v**2 + 0 + 1/3*v**3 + 0*v. Differentiate g(o) wrt o.
6
Let s(i) = -3*i - 2. Let k(f) = f**3 - 5*f**2 + f - 7. Let q be k(5). Let v be s(q). Find the third derivative of -3*h**2 + v*h**2 - 4*h**6 - 3*h**2 wrt h.
-480*h**3
Let x(z) be the first derivative of 3/2*z**2 + 4 + z. Differentiate x(j) wrt j.
3
What is the second derivative of 0*c - 2*c - 47*c**3 + 17*c + 5*c**3 wrt c?
-252*c
Let x(j) be the second derivative of 0*j**4 + 0*j**2 + j + 1/2*j**3 + 0*j**6 + 1/42*j**7 + 0*j**5 + 0. What is the second derivative of x(b) wrt b?
20*b**3
Let y(x) be the third derivative of 4*x**7/105 - 7*x**5/60 + 4*x**2. What is the third derivative of y(b) wrt b?
192*b
What is the third derivative of 18*j**5 + 19*j**5 - 9*j**5 + 15*j**2 wrt j?
1680*j**2
What is the third derivative of 7*u**6 - 3*u**2 - 4*u**2 + 5*u**6 - 7*u**6 wrt u?
600*u**3
Let r(l) be the second derivative of 11*l**8/56 + l**4/2 + 15*l. Find the third derivative of r(a) wrt a.
1320*a**3
Let k(j) be the third derivative of 0*j + 0*j**4 + 1/120*j**6 + 0 + 7/60*j**5 + 0*j**3 + 4*j**2. What is the third derivative of k(b) wrt b?
6
What is the third derivative of -9*t**3 + 45*t**2 - 3*t**3 + 46*t**2 - 86*t**2 wrt t?
-72
Let d(v) be the first derivative of -18*v**5/5 - 4*v**2 + 6. What is the second derivative of d(b) wrt b?
-216*b**2
Let u = 7 - 3. What is the third derivative of 10*r**3 - 4*r**u - 2*r**3 - 8*r**3 + 3*r**2 wrt r?
-96*r
Let o(x) be the first derivative of -23*x**7/7 - 17*x**3/3 + 4. What is the third derivative of o(s) wrt s?
-2760*s**3
Find the second derivative of 3*c**2 - 3*c**2 - 3*c**2 - 4*c + 4*c**2 wrt c.
2
Let t = 4 + 0. Let v = -1 + t. Find the third derivative of 4*u**2 + u**v - 3*u**2 - 2*u**3 wrt u.
-6
Suppose 0 = -2*q - 0*q. Suppose -3*k - 4*b = -5*k + 2, q = -3*b + 15. What is the second derivative of -k*j**2 + j**5 + 11*j**2 + j wrt j?
20*j**3
Let x(v) = -v**2 + v. Let d(h) = -13*h**2 - 2*h - 16. Let w(q) = d(q) + 2*x(q). Differentiate w(m) with respect to m.
-30*m
Let x = 5 - 7. Let g be (-3)/1*x/3. Find the second derivative of 3*j**2 - j**g + 3*j - j**2 wrt j.
2
Let g(b) = b + 12. Let n be g(-7). Let c = n + -5. What is the first derivative of -p**4 + c + 5 - 3*p**4 - 3 wrt p?
-16*p**3
Differentiate -10 + 19 + 2*y + 8*y with respect to y.
10
Let j be 3 + 3/(-1 - 2). Let m = j + 5. What is the third derivative of 3*a + 4*a + 2*a**2 + 3*a**4 - m*a wrt a?
72*a
Let h(l) be the second derivative of -l**2 + 0 + 0*l**3 + 1/4*l**5 + 0*l**4 + 2*l. What is the first derivative of h(f) wrt f?
15*f**2
Let u(a) be the second derivative of 0 - 1/6*a**3 - a + 1/3*a**4 + 0*a**2. Find the second derivative of u(j) wrt j.
8
Let c(z) be the second derivative of -z**8/2240 + z**6/180 - z**4/12 + z. Let p(x) be the third derivative of c(x). Find the second derivative of p(y) wrt y.
-18*y
Let m(u) be the second derivative of -7*u + 0*u**6 + 0 - u**3 + 0*u**4 + 0*u**5 + 0*u**2 + 1/42*u**7. Find the second derivative of m(j) wrt j.
20*j**3
Let j(c) = 2*c**2 - 2*c - 2. Let s be j(-1). Let o(p) be the second derivative of -2*p + 0 - 1/2*p**3 - 1/2*p**s. Differentiate o(v) wrt v.
-3
Suppose 4*v = -0*v. What is the second derivative of v*p**2 + 5*p + 0*p**2 + 3*p**3 - 3*p wrt p?
18*p
Let o(s) be the second derivative of -28*s**6/15 + 7*s**4/12 + 5*s**3/6 + s. What is the third derivative of o(k) wrt k?
-1344*k
Let k(r) = -45*r**2 + 15*r. Let q(b) = -23*b**2 + 7*b. Let p(s) = -3*k(s) + 5*q(s). Find the second derivative of p(u) wrt u.
40
What is the second derivative of 183*t + 6*t**5 + 9*t**5 - 198*t wrt t?
300*t**3
What is the second derivative of 21*q - 11*q + 4*q**2 + 5*q**2 - 4*q wrt q?
18
Find the second derivative of 8*l + 12*l**3 - l**2 - 2*l + l**2 wrt l.
72*l
Let r(h) = -6*h + 8. Let b(t) = -1. Let w(x) = -3*x + 6. Let g be w(3). Let u(k) = g*b(k) - r(k). Differentiate u(i) with respect to i.
6
Let o(m) be the first derivative of -2/3*m**3 + 0*m**6 + 0*m**4 + 0*m**2 + 0*m**5 + 3/7*m**7 - 10 + 0*m. What is the third derivative of o(k) wrt k?
360*k**3
Suppose 0 = -5*m - 0 + 15. What is the third derivative of 0*c**m + 2*c**2 + 0*c**2 + 2*c**3 + 0*c**3 wrt c?
12
Let a(r) be the first derivative of -8*r**4 + 25*r - 9. What is the derivative of a(n) wrt n?
-96*n**2
Let q(y) = -y**4 - y. Let l(i) = 10*i**4 + 7*i. Let d be (4/(-6))/((-2)/3). Let w(n) = d*l(n) + 4*q(n). Find the second derivative of w(t) wrt t.
72*t**2
Let u(i) = -i + 1. Let c(n) = n**2 + 7*n - 8. Let g(f) = -c(f) - 5*u(f). Let p(s) be the first derivative of g(s). Differentiate p(r) with respect to r.
-2
Suppose 9 + 15 = 3*o. Differentiate 6*d**4 + 8*d**2 - o*d**2 - 2 with respect to d.
24*d**3
Let y(v) = 8*v + 56. Let o(b) = b + 8. Let q(a) = -20*o(a) + 3*y(a). What is the first derivative of q(u) wrt u?
4
Let z(k) be the third derivative of k**8/336 + k**5/20 + 3*k**2. What is the third derivative of z(d) wrt d?
60*d**2
Suppose 5*u - 16 = -w, -4*w = -0*u - 3*u - 18. Let s = 6 - w. What is the third derivative of a**5 + a**2 + s*a**2 - 4*a**2 wrt a?
60*a**2
Let t(w) = -9*w**3 - 5*w + 1. Let f = 13 - 34. Let z(g) = 36*g**3 + 21*g - 3. Let c(h) = f*t(h) - 5*z(h). What is the derivative of c(u) wrt u?
27*u**2
Let w(v) be the second derivative of v**5/10 + v**3/2 + 5*v**2/2 - 6*v. Let j(y) = y. Let a(c) = -3*j(c) + w(c). What is the derivative of a(f) wrt f?
6*f**2
Let r(m) be the second derivative of m**5/10 - 5*m**3/3 + 3*m**2 + m. Let v(k) = k - 1. Let y(i) = r(i) + 10*v(i). Differentiate y(s) with respect to s.
6*s**2
Let m(q) be the second derivative of q**8/56 - q**7/21 + 5*q**4/12 - q**3/6 + 61*q. What is the third derivative of m(j) wrt j?
120*j**3 - 120*j**2
Find the second derivative of -w + 13*w**3 - w**2 - 2*w + w**2 wrt w.
78*w
Let m(p) = 39*p**2 + 38. Let k(j) = 39*j**2 + 38. Let f(d) = -3*k(d) + 4*m(d). Differentiate f(s) wrt s.
78*s
Differentiate 16 + 30*y + 17*y**2 - 30*y with respect to y.
34*y
Let t = 10 - 9. Suppose 0 = n - 1. Let v(f) = 1. Let x(j) = -j + 1. Let q(h) = n*x(h) + t*v(h). Differentiate q(z) wrt z.
-1
Let d(v) = -v**2 + 3*v + 2. Let p be d(2). Suppose -x - p = -3*x. What is the first derivative of 