o*t**2 - t**3 + t**2 + 6*t**2 wrt t.
-6
Find the third derivative of 5*s**2 - s**2 + 3*s**2 + 2*s**2 - 6*s**6 wrt s.
-720*s**3
Find the second derivative of -232*c**2 + 29*c + c**3 + 232*c**2 wrt c.
6*c
Let i(n) be the second derivative of -n**7/2520 - n**6/180 - n**4/4 - n. Let f(u) be the third derivative of i(u). What is the second derivative of f(s) wrt s?
-2
Let n(p) = 5*p**3 + 6*p**2 - 5*p + 6. Let z(q) = 9*q**3 + 13*q**2 - 11*q + 13. Let i(g) = 13*n(g) - 6*z(g). Find the second derivative of i(o) wrt o.
66*o
Let x = 8 - 5. Suppose x*q = -0*q. What is the third derivative of 2*a**5 + 6*a**2 + a**5 + q*a**2 - 5*a**2 wrt a?
180*a**2
Let k(l) be the first derivative of 0*l**4 + l**2 + 0*l**5 + 1/6*l**6 + 1 + 0*l**3 + 0*l. Find the second derivative of k(x) wrt x.
20*x**3
Suppose -2*f = -f. Suppose -5*l + 6 = -3*l. What is the second derivative of 2*g**l + f + g + 0 wrt g?
12*g
Let s(g) be the third derivative of -4*g**7/105 + 11*g**4/24 - 2*g**2. Find the second derivative of s(t) wrt t.
-96*t**2
Let m(z) be the third derivative of 13*z**6/120 + z**3/3 - 16*z**2. Find the first derivative of m(x) wrt x.
39*x**2
Let r(p) be the third derivative of -49*p**4/24 + 5*p**3 - 16*p**2. What is the derivative of r(g) wrt g?
-49
Let i(h) be the third derivative of h**2 + 2/3*h**3 + 0*h + 0*h**4 + 0 + 1/20*h**5. What is the derivative of i(r) wrt r?
6*r
Let y(l) = 3*l**4 + 6*l**3 - 39*l**2 - 6. Let h(z) = -6*z**4 - 11*z**3 + 77*z**2 + 11. Let b(o) = 6*h(o) + 11*y(o). Find the third derivative of b(c) wrt c.
-72*c
Suppose -5*q - 2*j = 0, -q = 2*q - 2*j. Let d(c) be the third derivative of c**2 + 0 + q*c - 1/6*c**3 + 1/12*c**4. What is the derivative of d(s) wrt s?
2
Find the first derivative of 6*u + 3 + 1 - 12*u wrt u.
-6
Let b(g) = g**2 - 4*g - 2. Let c be b(5). Differentiate -1 + 13 - 11 + 3*i**c with respect to i.
9*i**2
Let r(b) be the second derivative of 0*b**3 - 1/42*b**7 - 1/4*b**4 + 0*b**6 + 0 + 0*b**2 + 2*b + 0*b**5. What is the third derivative of r(k) wrt k?
-60*k**2
Find the first derivative of -2*b**3 + 7*b**3 - 6 + 0*b**3 wrt b.
15*b**2
Let v(k) be the second derivative of k**9/7560 + k**5/60 - k**4/3 - 4*k. Let d(l) be the third derivative of v(l). Differentiate d(r) with respect to r.
8*r**3
Let b(v) be the first derivative of 9*v**4/4 + 3*v**2 - 10. Find the second derivative of b(s) wrt s.
54*s
Let i(q) = 3*q. Let z be i(2). Let w = z - 2. Find the third derivative of -2*b**5 + b**2 - w*b**2 + 0*b**2 - b**2 wrt b.
-120*b**2
Let w(j) = 4*j**3 - 13*j. Let a(x) = -17*x**3 + 53*x. Let q(s) = -2*a(s) - 9*w(s). Find the second derivative of q(o) wrt o.
-12*o
Let h(y) = 7*y**2 + 2*y + 2. Let w(q) = q**3 - q**2 - q - 1. Let x(k) = -h(k) - 2*w(k). What is the third derivative of x(s) wrt s?
-12
Let z(q) be the first derivative of -8*q**6/3 - 3*q**2/2 - 12. What is the second derivative of z(s) wrt s?
-320*s**3
What is the second derivative of 9*u - 4*u**5 + 79*u**3 - 29*u - 72*u**3 wrt u?
-80*u**3 + 42*u
Let s(q) = -q**3 - q**2 + q + 1. Let i(d) = 14*d**3 + 6*d**2 - 6*d + 5. Let m(f) = -i(f) - 6*s(f). What is the first derivative of m(b) wrt b?
-24*b**2
Find the third derivative of -2*n**6 + 2 - 7*n**2 - 2 + 3*n**6 wrt n.
120*n**3
Let r(y) = y**3 - 5*y**2 - 7*y + 6. Let n be r(6). Suppose o - 4*o + 12 = n. What is the third derivative of 3*b**4 - 4*b**o + b**2 - 2*b**2 wrt b?
-24*b
Find the second derivative of 5*n + 17*n**3 - 17*n - 2*n - 6*n**3 wrt n.
66*n
Let w(b) be the first derivative of -4 - b**4 - 5*b**4 + 4*b + 5*b**4. What is the first derivative of w(k) wrt k?
-12*k**2
Suppose 3*r - 5 = 7. Differentiate 2*i - r*i + 4*i - 4 with respect to i.
2
Suppose j + 3 = 2*j. Find the first derivative of -2 - i**3 + 3 - i**3 - j wrt i.
-6*i**2
Let j(s) be the first derivative of s**4 + 71*s**3/3 - 13. Find the third derivative of j(y) wrt y.
24
Let x(s) = 1 - 6*s**2 + 7 + 2*s - 3*s + s**3. Let q be x(6). Find the second derivative of -m + 0*m - m + m**q wrt m.
2
Let h(s) be the first derivative of 4*s - 3/2*s**2 - 2. Differentiate h(d) with respect to d.
-3
Let f(y) = 3*y**3 + 21*y**2 - 33*y - 21. Let t(w) = w**3 + 5*w**2 - 8*w - 5. Let c(g) = 5*f(g) - 21*t(g). What is the second derivative of c(o) wrt o?
-36*o
Let f(w) = -w**3 - w**2 - w - 1. Let u(o) = o**3 - o**2 + 6*o + 6. Let n(y) = -6*f(y) - u(y). Find the third derivative of n(m) wrt m.
30
Let q(i) = -i**2 - i + 18. Let d be q(0). Find the second derivative of d*w - 3*w**2 - 12*w - 9*w wrt w.
-6
Let t = -18 + 20. Find the third derivative of 5*b**2 - 1 + 3*b**t + 1 + 2*b**6 wrt b.
240*b**3
Let h(d) = -d + 7. Let v be h(8). Let j = 3 + v. Find the second derivative of -p**2 - p**j + p + 4*p**2 wrt p.
4
Find the second derivative of 28*o - 51*o + 28*o + 12*o**2 wrt o.
24
What is the first derivative of -15 - 23*h**3 - 12*h**3 + 8*h**3 wrt h?
-81*h**2
Let w(i) be the third derivative of i**8/112 - i**5/60 - 7*i**2. Find the third derivative of w(q) wrt q.
180*q**2
Let j(f) be the second derivative of -4*f**5/5 + f**3/3 - 3*f**2/2 + 2*f - 23. Find the second derivative of j(k) wrt k.
-96*k
Suppose -s - 5*p = -2*s - 7, 4*p = -5*s + 23. Suppose 0 = -f + s. Find the first derivative of 3*l - 2*l - 2 + f wrt l.
1
Suppose 5*l + 0*l - 4*q - 14 = 0, 5*q - 20 = 0. Let s = l + -3. Find the first derivative of -y**3 + 7*y**3 - s*y**3 - 1 wrt y.
9*y**2
Suppose -2*p - 5*d + 0 = 3, -4*p + 2*d + 30 = 0. What is the third derivative of -2*n**p - 4*n**2 - 3*n**6 + n**3 - n**3 wrt n?
-600*n**3
Let m(j) = j**3 + 6*j**2 + 2*j + 14. Let t be m(-6). What is the second derivative of a**2 + a - 4*a**2 - 5*a + 2*a**t wrt a?
-2
Let m(o) = -o**2 + o. Let q(z) = -7*z**3 + 4*z**2 - 4*z - 6. Let d(v) = -4*m(v) - q(v). Differentiate d(y) wrt y.
21*y**2
Let y(i) be the first derivative of -i**4/4 + 3*i**3 + 2*i + 3. Let u be y(9). What is the third derivative of 3*o - o**6 - 2*o**2 - 3*o + 0*o**u wrt o?
-120*o**3
Let z(o) = 9*o**4 + 5*o**3 - 5*o**2 - 19*o. Let q(x) = -4*x**4 - 2*x**3 + 2*x**2 + 9*x. Let l(c) = -5*q(c) - 2*z(c). Find the second derivative of l(k) wrt k.
24*k**2
Let m(z) be the third derivative of 0*z**6 + 0*z**3 + 1/105*z**7 + 1/12*z**4 + z**2 + 0*z + 0*z**5 + 0. What is the second derivative of m(c) wrt c?
24*c**2
Find the third derivative of -25*i**5 + 11995*i - 11995*i + 7*i**2 wrt i.
-1500*i**2
Let h be 12/8 - (-5)/(-2). Let l = 1 - h. Find the first derivative of l - 5 + 0*k**4 + 2 - k**4 wrt k.
-4*k**3
Let k(n) be the third derivative of 2*n**5/5 - 3*n**3/2 + 24*n**2. What is the first derivative of k(f) wrt f?
48*f
Differentiate 16*l**3 - 12*l + 12*l - 2*l**3 + 8 with respect to l.
42*l**2
Find the second derivative of 9*u + 0*u**3 + 3*u**3 - 7*u wrt u.
18*u
Let w be 6*(15/9 - 1). Let o(v) be the second derivative of v**2 + 1/30*v**6 + 0*v**3 + 0*v**w + 0*v**5 + 0 + 2*v. What is the first derivative of o(t) wrt t?
4*t**3
Let f(p) be the first derivative of 2*p**7/21 - 5*p**3/6 + 3*p + 6. Let n(h) be the first derivative of f(h). Find the second derivative of n(v) wrt v.
80*v**3
Let y(g) be the first derivative of 0*g**2 - 2*g + 5 + 4/3*g**3. What is the first derivative of y(k) wrt k?
8*k
Let z(c) = -9*c + 1. Let b be z(1). Let s = 13 + b. Find the third derivative of -3*n**5 + 4*n**s + 3*n**2 - 5*n**2 wrt n.
60*n**2
Let n(a) be the third derivative of a**10/75600 - a**6/240 + a**5/20 - 3*a**2. Let q(t) be the third derivative of n(t). What is the derivative of q(l) wrt l?
8*l**3
Let h = 112 - 112. Let c(s) be the first derivative of -4 + 2*s**2 + 1/2*s**4 + h*s + 0*s**3. What is the second derivative of c(j) wrt j?
12*j
Let x = 59 + -55. Let t(v) be the third derivative of 0 + 0*v**x + 1/60*v**5 - 1/6*v**3 + 0*v - v**2. What is the first derivative of t(y) wrt y?
2*y
Let s(n) be the second derivative of -n**5 - 37*n**2/2 - 13*n. Differentiate s(b) with respect to b.
-60*b**2
Let r(g) = -g**4 + 2*g**3 + 3*g**2 - 2*g. Let z(s) = 3*s**4 - 5*s**3 - 5*s**2 + 5*s. Let i(w) = 5*r(w) + 2*z(w). Find the third derivative of i(u) wrt u.
24*u
Find the second derivative of 13*w**2 - 4*w + 3*w - 2*w - 5*w wrt w.
26
Let w(v) be the first derivative of 1/3*v**3 + 0*v**4 - 1/2*v**6 + 0*v**5 + 0*v**2 + 0*v - 1. What is the third derivative of w(j) wrt j?
-180*j**2
What is the second derivative of -11*h + 7*h*