t(r) be the third derivative of r**6/180 - r**4/12 - r**3/2 - 3*r**2. Let o(i) be the first derivative of t(i). Find the first derivative of o(y) wrt y.
4*y
Let h(s) = 23*s + 29. Suppose -31 = 5*b - 6. Let g(k) = 15*k + 19. Let u(d) = b*h(d) + 8*g(d). Differentiate u(x) with respect to x.
5
Suppose -11 = -5*d - 4*f, -3*f + 4 = -3*d + 16. Suppose -4*u - 3 = 4*a + 1, 0 = 5*u + a - 7. What is the derivative of -2 + u*z**3 - 3*z**d + 0*z**3 wrt z?
-3*z**2
Suppose 0 = 4*p - 8*p + 8. Let j(l) be the first derivative of -2*l + 1 + 3/2*l**p. Differentiate j(d) wrt d.
3
Let a(o) = -9*o**3 + 3*o**2 - 10*o + 3. Let p(x) = -x**3 - x**2 - x - 1. Let m(w) = -2*a(w) - 6*p(w). Find the second derivative of m(i) wrt i.
144*i
Let d(u) be the first derivative of 15/2*u**2 - 2 - 81*u. Let f(p) = p - 5. Let m(y) = 2*d(y) - 33*f(y). Differentiate m(a) wrt a.
-3
Suppose -2*n - 15 = -5*k, 4*n - 5 = -3*k + 4. Suppose 0 = -k*z + 1 + 5. What is the second derivative of o**5 + o**5 - z*o - o**5 wrt o?
20*o**3
Let q(i) = -i**3 + 3. Let u(t) = 6 - 2 - 3. Let p = 6 + -7. Let r(v) = p*q(v) + 5*u(v). Find the first derivative of r(k) wrt k.
3*k**2
Find the first derivative of -2*k - 8*k**2 + 2*k + 713 - 721 wrt k.
-16*k
What is the second derivative of 8*j - 61*j**2 + 3*j**4 + 61*j**2 wrt j?
36*j**2
Let s(f) be the second derivative of f**8/168 + f**4/12 - f**2 + 4*f. Let q(p) be the first derivative of s(p). Find the second derivative of q(k) wrt k.
40*k**3
Suppose -l = -3*r + 19, 6*l - 8 = -4*r + 3*l. Let s(p) = -p**3 + 5*p**2 + p - 2. Let v be s(r). Find the first derivative of -i + i - 3 - v*i**3 wrt i.
-9*i**2
Let t(r) be the first derivative of -r**7/70 - r**4/6 - 4*r**2 - 6. Let y(g) be the second derivative of t(g). Find the second derivative of y(p) wrt p.
-36*p**2
Let q(n) be the second derivative of -n**11/27720 - n**7/2520 + n**4/4 - 2*n. Let m(i) be the third derivative of q(i). Find the third derivative of m(z) wrt z.
-240*z**3
Suppose 11 = -5*t + 96. Let m be 0 + -3 - (0 - t). What is the third derivative of -m*s - 3*s**5 + 14*s + 4*s**2 wrt s?
-180*s**2
Let v(d) be the third derivative of d**4/3 - 13*d**3/6 + 4*d**2. Differentiate v(b) with respect to b.
8
Suppose 0 = t - 5 + 2, 5*t = 3*j + 9. Let w be (-8 + 5)*2/(-3). Find the third derivative of f**j + f**6 + f**w - f**2 wrt f.
120*f**3
What is the second derivative of 29 - 12*i - 29 - i**5 wrt i?
-20*i**3
Suppose 16*k - 13*k - 6 = 0. Let c(x) be the third derivative of 1/30*x**5 + 0*x**4 - 1/6*x**3 + 0*x + 0 + 2*x**k. What is the first derivative of c(r) wrt r?
4*r
Let n(a) = -a**5 + a**4 - a**2 + a + 1. Let p(m) = 11*m**5 + 6*m**4 - 13*m**2 + 6*m + 6. Let i(b) = -6*n(b) + p(b). Find the third derivative of i(t) wrt t.
1020*t**2
Let w be ((-4)/8)/(1/(-4)). What is the first derivative of 1 + 0 + 2*o - w - o wrt o?
1
Let s(t) = 6*t - 7. Let w(k) = 4*k**2 + k. Let n be w(3). Let m(v) = -v + 1. Let b(c) = n*m(c) + 6*s(c). Differentiate b(d) with respect to d.
-3
Let o(c) = -4*c**3 + 14*c + 10. Let k(n) = 6 - 9 + 5 - n**3 + 0*n + 3*n. Suppose -2*b - 3 = -b. Let m(l) = b*o(l) + 14*k(l). Differentiate m(x) wrt x.
-6*x**2
Let b be (40/24)/((-5)/(-6)). What is the derivative of 3*u**2 - 6 - 3*u**b + 1 + 2*u**2 wrt u?
4*u
Let s(f) be the second derivative of -f**6/15 + f**4/3 + 61*f**3/6 - 22*f. What is the second derivative of s(g) wrt g?
-24*g**2 + 8
Let y(z) be the third derivative of 11*z**5/60 + 7*z**3/3 - 17*z**2. What is the derivative of y(c) wrt c?
22*c
Let q = 4 - 10. Let j(b) = 8*b**3 + 20. Let u(c) = 3*c**3 + 7. Let s(m) = q*j(m) + 17*u(m). What is the derivative of s(x) wrt x?
9*x**2
Find the third derivative of -16*m**2 - 4*m**2 - m**2 - 3*m**2 - 10*m**4 wrt m.
-240*m
Suppose 3*q - 8 = 2*q. What is the second derivative of -4*n**2 - n**3 + 4*n**2 - q*n + 3*n wrt n?
-6*n
Find the third derivative of -9*v**6 - 10*v**2 - 124*v**5 + 124*v**5 wrt v.
-1080*v**3
Suppose 0*p + 4*p = -4*x + 16, 0 = 2*p - 5*x + 6. Suppose 0 = p*k - 6. What is the third derivative of -2*s**2 - k*s**6 + 10*s**6 - 6*s**6 wrt s?
120*s**3
Let q(d) be the third derivative of 0*d**4 - 1/6*d**3 + 0*d**5 + 1/70*d**7 + 0*d + 0 + 0*d**6 + 2*d**2. Differentiate q(y) wrt y.
12*y**3
Let j(c) be the second derivative of 2*c**5/15 + c**4/3 - 4*c**2 + 9*c. Let n(y) be the first derivative of j(y). What is the second derivative of n(q) wrt q?
16
Let b(a) be the first derivative of 1/2*a**2 + a - 3 - 1/6*a**3. Let s(n) be the first derivative of b(n). Find the first derivative of s(j) wrt j.
-1
Let b(y) be the third derivative of 0*y - 1/2*y**3 + 2*y**2 + 0*y**4 + 0*y**5 + 1/24*y**6 + 0. Find the first derivative of b(l) wrt l.
15*l**2
What is the second derivative of 2*y + y + 11*y**4 + 2*y**4 - 5*y wrt y?
156*y**2
Find the first derivative of 16*g**2 - 7 - 18*g**2 - 4 + 1 wrt g.
-4*g
Let o(p) be the second derivative of p**6/30 - p**3/2 + 2*p**2 + 3*p. Let u(z) be the first derivative of o(z). What is the first derivative of u(j) wrt j?
12*j**2
Suppose -r - 3*i = -i, -r + 4*i = -6. Find the third derivative of -4*o**2 - o**3 + o**2 + 7*o**r wrt o.
-6
Let p(m) be the third derivative of -7*m**4/8 + 19*m**3/6 + 13*m**2. Differentiate p(k) wrt k.
-21
Let n(u) = u - 1. Let i be n(5). Suppose -5*j + 15 = -5*x, -i*x = -5*x. What is the third derivative of 3*m**2 + 2*m**3 + m**2 - 5*m**2 + j*m**2 wrt m?
12
Suppose 3*z + 4*b - b - 6 = 0, 2 = 4*z - 2*b. Differentiate -3*d + 2*d - d + d + z with respect to d.
-1
Let b be 2 + -1 + (3 - 2). Suppose c = -4*r - 12, b*c - 4*c - 6 = 2*r. Find the first derivative of 4*l - 3*l - 2 + c*l wrt l.
1
What is the second derivative of -86*i + 117*i + 4*i**3 - i**3 + 13*i**3 wrt i?
96*i
Let z(p) be the first derivative of 4 + 8/3*p**3 + 7*p + 0*p**2. Differentiate z(x) wrt x.
16*x
Let c(x) be the first derivative of 4*x**5/5 - 5*x**3/3 + 7. What is the third derivative of c(j) wrt j?
96*j
Let c(f) = -f**3 - 8*f**2 + 10*f + 4. Let g be c(-9). Let t = g - -8. What is the second derivative of -m**4 - t*m**2 - 2*m + 3*m**2 wrt m?
-12*m**2
What is the third derivative of -p**5 - 11*p**5 - 40*p**2 - 3*p**2 - 4*p**5 wrt p?
-960*p**2
Let o(v) be the second derivative of 1/3*v**3 + 0*v**2 + 1/4*v**4 + 3*v + 0. What is the second derivative of o(n) wrt n?
6
Let z be 0/2*2/2. Suppose -2*x + 4 + 2 = z. What is the second derivative of -k**3 - 2*k**x + k**4 - k + 3*k**3 wrt k?
12*k**2
Let t be (-3 - -1)/6*-12. Find the second derivative of -f**5 + f + t*f - 4*f**5 wrt f.
-100*f**3
Suppose -5*n + 5*q = -35, -n + 3*q = -9 - 6. Let z(y) be the second derivative of 1/6*y**4 + 0*y**n - y**2 + 0 + 2*y. Differentiate z(i) with respect to i.
4*i
Suppose x - 2 = -0*x. Let a(p) be the second derivative of -1/2*p**2 + 0*p**3 + 0 - 1/6*p**4 + x*p. Find the first derivative of a(o) wrt o.
-4*o
Suppose 0 = 5*z + 10, 0*t + 5*t - 4*z = 8. Let d(h) be the first derivative of -2/3*h**3 - 2 + 0*h + t*h**2 - 1/2*h**4. Find the third derivative of d(i) wrt i.
-12
Suppose 5*g = -4*j + 13 + 29, -5*g + j = -27. Suppose -g = 3*v - 5*v. Differentiate -5 + l + 3 - v*l with respect to l.
-2
Let p(l) be the third derivative of -l**8/112 + l**4/12 - l**3/6 - 52*l**2. What is the second derivative of p(d) wrt d?
-60*d**3
Suppose 15 = 2*r + c - 4*c, 2*r + c - 3 = 0. Suppose r*h - h = 4. Find the third derivative of 4*f**3 + 4*f**2 + 0*f**h - f**2 - 5*f**2 wrt f.
24
Let k be ((-4)/(-16)*0)/(-3). Let h(p) be the first derivative of k*p**2 - 1 + 0*p + 1/3*p**3 + 1/4*p**4. Find the third derivative of h(n) wrt n.
6
Find the second derivative of 2*d**2 - 2*d**2 + d**2 + 4*d**2 - 2*d + 4*d**3 wrt d.
24*d + 10
Suppose -5*a + 33 = -52. What is the second derivative of -a*q + 9*q - 2*q**2 - 3*q**2 + 4*q wrt q?
-10
Let m(j) be the third derivative of j**6/8 + 2*j**3/3 + 20*j**2. Find the first derivative of m(l) wrt l.
45*l**2
Let f(d) = -d**2 - 4*d. Let b be f(-3). Find the first derivative of 1 - 3*h**4 - 3 + b wrt h.
-12*h**3
Let o(l) be the second derivative of -l**9/5040 - l**7/2520 + l**4/4 - l. Let k(n) be the third derivative of o(n). Find the third derivative of k(a) wrt a.
-72*a
Let q(y) be the first derivative of -y**8/240 - y**6/180 - y**3/3 - 2. Let b(c) be the third derivative of q(c). Find the third derivative of b(h) wrt h.
-168*h
Suppose 6*y - 9 = 3*y.