2*y**2
Let c(y) = -y**3 - 8*y**2 - 9*y - 9. Let z be c(-7). Suppose z*o + 5 = 20. Find the third derivative of 3*x**5 - o*x**2 + x**2 + x**2 - 2*x**2 wrt x.
180*x**2
Let t(p) = -195*p**2 - 265*p - 55. Let d(b) = 14*b**2 + 19*b + 4. Let r(z) = 55*d(z) + 4*t(z). What is the second derivative of r(y) wrt y?
-20
Let w(z) be the first derivative of 2*z**3 + 39*z**2/2 - 16. Find the second derivative of w(j) wrt j.
12
Let f be 132/5*20/6. Differentiate f*t + 5 - 88*t + 7*t**4 wrt t.
28*t**3
Let o(u) be the first derivative of -u**6/6 + 5*u**4/12 + 4*u - 5. Let k(n) be the first derivative of o(n). Find the third derivative of k(r) wrt r.
-120*r
Suppose n + 10 = 6*n. Suppose 0 = n*h - p, -h - 3*p + 14 = -0*h. Find the second derivative of -5*m**h + 3*m**2 + 3*m**2 + m wrt m.
2
What is the derivative of 2*a - 7 - 7*a + 2 + 8 wrt a?
-5
Let t(i) be the second derivative of 5*i**4/4 + 7*i**3/2 - 23*i. Find the second derivative of t(h) wrt h.
30
Suppose 5*g - 61 + 157 = -4*w, 0 = g. Let r be -2 + 1/((-3)/w). What is the third derivative of -4*k**r + 4*k**2 - 2*k**2 + 7*k**6 + k**2 wrt k?
360*k**3
Let s = -11 - -15. What is the third derivative of -3*r**2 - 6 + 3*r**s + 6 - r**4 wrt r?
48*r
What is the third derivative of -9*w**4 + 3*w**2 + w**4 + w**4 wrt w?
-168*w
Let y(h) = h**3 - 4*h + 3*h + 3*h**2 + h - h. Let z(a) = a**2. Let t(w) = -y(w) + 3*z(w). What is the second derivative of t(b) wrt b?
-6*b
Suppose -4*s - 15 = -9*s. What is the first derivative of 5 - 2 + 24*d**3 - 26*d**s wrt d?
-6*d**2
Let c(r) be the second derivative of r + 1/3*r**4 + 0*r**2 + 1/5*r**5 + 0 + 0*r**3. Find the third derivative of c(i) wrt i.
24
Let y(j) = j**3 - 7*j**2 + 5. Let b be ((-7)/(-2))/(2/4). Let k be y(b). Find the third derivative of -k*v + v**3 + 5*v - 2*v**2 wrt v.
6
Let r be (3/(-9)*0)/2. Suppose 2*d + r*d = 6. What is the third derivative of -s**3 + 2*s**d - 2*s**2 - 3*s**3 wrt s?
-12
What is the second derivative of 2*c - 2*c**3 - 4*c**3 - 26*c wrt c?
-36*c
Let u = 14 + -10. Find the first derivative of -5 + x - 2 + u wrt x.
1
Suppose 0*r = -2*r - 16. Let f(g) = 4*g**2 + 3*g + 4. Let y(q) = 5 - 5 + 11*q**2 + 8*q + 11. Let c(w) = r*f(w) + 3*y(w). Differentiate c(t) with respect to t.
2*t
Let w(b) be the third derivative of -3*b**8/112 + 7*b**5/30 + 10*b**2. What is the third derivative of w(j) wrt j?
-540*j**2
Let u(h) = h + 9. Let n be u(3). Find the third derivative of n*r**2 - 5*r**2 - 15*r**4 + 8*r**4 wrt r.
-168*r
Let r(l) = -l**2 + l + 1. Let y(u) = 3*u**2 + 3*u + 10. Let v(n) = 3*r(n) - y(n). What is the derivative of v(j) wrt j?
-12*j
Let v(o) = -o - 1. Let n be v(-4). Suppose 2*d = 3 + 1. Differentiate d*t**n + t**2 - 3*t**2 - 1 + 2*t**2 with respect to t.
6*t**2
Differentiate 5 - 7 + 21*p + 0*p wrt p.
21
Let m(u) be the first derivative of -u**4/4 - 2*u**3/3 + u**2/2 - u - 2. Let c be m(-3). Find the third derivative of 6*f**3 + 7*f**2 - c*f**2 - 5*f**3 wrt f.
6
Let m(h) be the first derivative of -3 + 1/5*h**5 + 4*h**2 + 0*h**3 + 0*h**4 + 0*h. What is the second derivative of m(r) wrt r?
12*r**2
Let h(y) be the second derivative of 8*y**6/15 + 13*y**4/6 - 22*y. Find the third derivative of h(a) wrt a.
384*a
Suppose -b - 4 = -5. Let v = b + 1. What is the first derivative of -v + 0*m**4 - 6*m**3 - 2*m**4 + 6*m**3 wrt m?
-8*m**3
Find the third derivative of f**2 - f**3 - 6*f**3 - 3*f**2 wrt f.
-42
Suppose 30 - 14 = 4*y. What is the second derivative of 0*f**4 - 3*f**4 - f**y + 5*f wrt f?
-48*f**2
Let s(m) = -m - 3. Let b be s(-4). Let z(u) = -u**2 + 1. Let t(h) = 8*h**2 + 4*h - 5. Let a(g) = b*t(g) + 5*z(g). What is the second derivative of a(k) wrt k?
6
Let u(c) be the third derivative of 0*c**3 + 0*c - 1/40*c**6 + 2*c**2 - 1/20*c**5 + 0 + 0*c**4. Find the third derivative of u(v) wrt v.
-18
What is the third derivative of 6*f**2 - 7*f**4 - 9*f**4 + 6*f**4 wrt f?
-240*f
Let y(u) = -u**3 + 4*u**2 - 3*u + 1. Let n be y(2). Let j be (2/2*n)/1. What is the second derivative of -a - 2*a**3 + 0*a - a**j wrt a?
-18*a
What is the third derivative of 5*f**2 - 4 + 4 + 276*f**3 - 279*f**3 wrt f?
-18
Let w(y) = y**2 + 8*y + 7. Let o be w(-7). What is the first derivative of -2*t**2 + 2*t - 1 - 2*t + o*t wrt t?
-4*t
Let z(j) be the third derivative of -j**10/37800 + j**6/720 - j**5/12 + 3*j**2. Let n(g) be the third derivative of z(g). What is the derivative of n(y) wrt y?
-16*y**3
Let a(w) be the second derivative of 1/10*w**5 - 1/6*w**4 + 0 + 4*w + 0*w**3 + 0*w**2. What is the third derivative of a(b) wrt b?
12
Let r be (0 + 6)*(-15)/(-45). What is the third derivative of 2*n**3 + 3*n**3 - n**r + n**3 + 0*n**3 wrt n?
36
Find the second derivative of -36*w**2 + 15*w - 34*w**2 + 70*w**2 - 20*w**3 wrt w.
-120*w
Let x(o) = -37*o**2 + 7*o - 31. Let d(a) = 12*a**2 - 2*a + 10. Let y(t) = 7*d(t) + 2*x(t). Find the first derivative of y(z) wrt z.
20*z
Let t(m) = m**2 - 9*m + 3. Let d be t(9). Find the third derivative of 0*s**3 + 7*s**3 - s**3 + d*s**2 wrt s.
36
Let r = -1 - -3. Suppose r*g - 5*a + 5 = 0, 10 = -2*g + 7*g - 5*a. Differentiate -3 + 1 + 0 - g*m**2 + 8*m**2 with respect to m.
6*m
Let i = -21 + 28. Find the second derivative of 9*v - i*v - 6*v + 8*v**3 wrt v.
48*v
Let y(l) = -7. Let m(h) = h**4 - 15. Let r(o) = -3*m(o) + 7*y(o). What is the first derivative of r(j) wrt j?
-12*j**3
What is the second derivative of 66*u**5 + 13*u - 64*u**5 - 16*u**4 - 35*u**4 + 2 wrt u?
40*u**3 - 612*u**2
Let d(w) = 55*w**5 + 2*w**4 - 13*w**2. Let j(n) = -111*n**5 - 5*n**4 + 25*n**2. Let i(a) = -5*d(a) - 2*j(a). What is the third derivative of i(p) wrt p?
-3180*p**2
Let h(l) be the third derivative of -3*l**2 + 0 + 0*l + 0*l**5 - 1/40*l**6 - 1/12*l**4 + 0*l**3. Find the second derivative of h(k) wrt k.
-18*k
Let u(k) = k**4 - k**3 - k. Let v(x) = 7*x**4 + 3*x**3 + 3*x + 5. Let z(b) = -3*u(b) - v(b). Differentiate z(a) with respect to a.
-40*a**3
Let d(m) be the first derivative of m**5/30 + m**4/3 - m**3/3 + 7. Let w(k) be the third derivative of d(k). What is the first derivative of w(q) wrt q?
4
Suppose -3*m + m = -8. Find the second derivative of -25*p**3 - m*p + 3*p + 20*p**3 wrt p.
-30*p
Let m(u) = 6*u - 3. Let a(b) be the first derivative of -b**2 + b + 1. Let q(l) = 11*a(l) + 4*m(l). What is the first derivative of q(s) wrt s?
2
Let i(s) = -2*s**5 - s**3 - 4*s - 1. Let f(j) = j**5 + j**3 + j + 1. Let a(p) = 3*f(p) + 3*i(p). Find the second derivative of a(r) wrt r.
-60*r**3
Let i = 44 - 40. Let l(p) be the first derivative of 3/5*p**5 + 0*p**3 - 2*p + 2 + 0*p**i + 0*p**2. Differentiate l(x) wrt x.
12*x**3
Let r(l) be the third derivative of l**7/35 - 2*l**3 + 22*l**2. What is the derivative of r(p) wrt p?
24*p**3
Let l(k) be the second derivative of -k**6/40 - k**3/2 + 3*k**2/2 - k. Let i(j) be the first derivative of l(j). Differentiate i(c) with respect to c.
-9*c**2
Let a(t) = -18*t**3 + 5*t**2 - 3*t. Let q(b) = b**3 - b**2 + b. Let l(u) = a(u) + 5*q(u). What is the second derivative of l(m) wrt m?
-78*m
Let j(q) = -39*q**4 + 8*q**3 - 8*q - 1. Let n(o) = 13*o**4 - 3*o**3 + 3*o. Let v(x) = 3*j(x) + 8*n(x). What is the first derivative of v(p) wrt p?
-52*p**3
Let x(k) be the first derivative of k**10/1260 + k**6/120 - 2*k**3 - 7. Let o(b) be the third derivative of x(b). What is the third derivative of o(z) wrt z?
480*z**3
Let a(i) = -3*i - 3. Suppose 4*s = -6*q + 3*q + 33, -2*s - q + 15 = 0. Let m(d) = -s - 4 + 3 - 7*d. Let c(j) = -5*a(j) + 2*m(j). Differentiate c(b) wrt b.
1
Let s(h) = h**3 + h**2 - h + 2. Let q be (0/((-2)/1))/1. Let b be s(q). Differentiate 0 + 7 - 3 + 2*y**b with respect to y.
4*y
Suppose 5*w = 5*r + 40, -25 = -10*w + 5*w + 2*r. Find the third derivative of -1 + 1 - 6*p**2 + 8*p**6 - w*p**6 wrt p.
600*p**3
Let l(d) = -d**3 + 3*d**2 - 1. Let v be l(3). Let q be 2 + v + 6/2. Find the second derivative of 3*c - 5*c + q*c - 3*c**4 - c wrt c.
-36*c**2
Let v(d) = -11*d**3 + 4*d**2 + 10*d - 4. Let q(j) = -22*j**3 + 9*j**2 + 21*j - 9. Let l(h) = -4*q(h) + 9*v(h). Find the second derivative of l(o) wrt o.
-66*o
Let d = -2 + 13. Suppose 2*i = -5*w - i - 5, d = -2*w - 3*i. Differentiate 4*x - 3*x - 1 - w*x with respect to x.
-1
Let z(h) be the first derivative of 9*h + 5/2*h**2 + 2. Differentiate z(w) wrt w.
5
Let z(o) = -o**3 - o**2 + o - 1. Let b(v) 