 y(z) = -15*z**2 + 16. Suppose -3*q - 1 = -3*i + 17, -19 = -3*i + 4*q. Let j(r) = 10*r**2 - 11. Let l(c) = i*y(c) + 8*j(c). Differentiate l(o) wrt o.
10*o
Differentiate 32*w**4 - 33 - 7*w**3 - 8*w**3 + 15*w**3 with respect to w.
128*w**3
Suppose -4*u + 7 = -5. Let z = 3 - u. What is the second derivative of z*q - 3*q + q**3 + q wrt q?
6*q
Let j(q) = q + 6. Let p be j(-4). Differentiate -6*v - p - 1 - 2 with respect to v.
-6
Let j = 5 - 8. Let c = j - -5. Find the third derivative of c*k**2 + 2*k**3 - k**3 - 2*k**2 - 2*k**2 wrt k.
6
Let k(j) be the first derivative of 2*j**4 - j**3 + 3. What is the third derivative of k(v) wrt v?
48
Let u(f) be the second derivative of -4*f**2 - 5*f + 0 + 0*f**3 + 1/3*f**4. Differentiate u(h) wrt h.
8*h
Let r(i) = i - 5. Let g be r(9). What is the third derivative of -3*u**2 + u**2 + g*u**5 + 2*u**5 - 4*u**5 wrt u?
120*u**2
Let u be (2 + -2)/(3 + -1). Suppose u*h - h = -4*f - 25, f + 20 = 3*h. Differentiate -h*g + 1 + 1 - 3 + 2*g with respect to g.
-3
Let j(p) = p. Let x be j(1). What is the third derivative of 11*o**2 - 10*o**2 - x + 1 - o**6 wrt o?
-120*o**3
Let v(l) be the first derivative of -5*l**4/2 - 8*l - 1. Differentiate v(g) wrt g.
-30*g**2
Let n = 7 - 4. What is the derivative of 5*o**3 - 3 - o**3 - o**n wrt o?
9*o**2
Let i(a) be the first derivative of 8*a**3/3 + 13*a**2/2 + 9. What is the second derivative of i(r) wrt r?
16
Suppose 3*x - 5*x + 12 = 0. Find the second derivative of -x*z - 3*z + 18*z**4 - 13*z**4 wrt z.
60*z**2
What is the third derivative of 6*z**5 - 3*z**5 - 4*z**2 - z**2 wrt z?
180*z**2
Let p(q) be the first derivative of 19*q**4/4 - 2*q - 1. Differentiate p(y) with respect to y.
57*y**2
Let x be 1 + (0 - -1 - 0). Let m(k) be the second derivative of -k**x - 2*k + 0 + 0*k**3 - 1/12*k**4. Differentiate m(n) wrt n.
-2*n
Let k(v) = 3*v - 3. Let y be k(2). Let j(p) = 2 - 7*p**3 - 3 + 0*p**y. Let a(h) = 6*h**3 + 1. Let u(c) = 5*a(c) + 4*j(c). Differentiate u(d) with respect to d.
6*d**2
Suppose -o + 5*o = 12. Let h(t) = t**3 - 2*t**2 - t - 4. Let d be h(o). What is the first derivative of 0 - 3 + d*m + 1 wrt m?
2
Find the third derivative of -2*p**4 - 5*p + p**4 + 6*p**2 + 5*p wrt p.
-24*p
What is the second derivative of c - 2*c**3 + c + 8*c**3 wrt c?
36*c
What is the third derivative of k**3 - 6*k**2 + 8*k**3 + 5*k**3 - 2*k**2 wrt k?
84
Let h(c) be the first derivative of -c**7/840 + c**4/8 + c**3/3 + 2. Let t(v) be the third derivative of h(v). Differentiate t(g) with respect to g.
-3*g**2
Let v(p) = p**5 + 9*p**3 + 2*p**2 + 9*p + 9. Let r(a) = -4*a**3 - a**2 - 4*a - 4. Let f(q) = 9*r(q) + 4*v(q). Find the third derivative of f(h) wrt h.
240*h**2
Let s(i) = 53*i**3 + 5*i**2 - 6*i + 2. Let k(o) = 107*o**3 + 11*o**2 - 13*o + 5. Let j(r) = -6*k(r) + 13*s(r). What is the third derivative of j(g) wrt g?
282
Let o(k) be the third derivative of 0*k**6 + 0*k + 0*k**4 - 1/12*k**5 - 2*k**2 + 0*k**3 + 3/112*k**8 + 0*k**7 + 0. Find the third derivative of o(w) wrt w.
540*w**2
Suppose -2*r - 2*r = -24. Find the second derivative of q**4 + 2*q - r*q**3 + 6*q**3 wrt q.
12*q**2
Let u(t) = 15*t**3 + 11*t**2 + 5*t + 5. Let q(m) = -m**3 + m + 1. Let h(b) = -5*q(b) + u(b). What is the third derivative of h(o) wrt o?
120
Let i be 0/3 + (4 - 0). Let k be (-2)/(-5)*(6 - 1). Differentiate -k + 1 - i*f**2 + 3*f**2 wrt f.
-2*f
Let b = 10 - 20. Let j = 12 + b. Find the third derivative of -8*g**j + 5*g**2 + 0*g**6 + 2*g**6 wrt g.
240*g**3
Let t = -5 - -5. What is the third derivative of -4*z**4 + 3*z**4 + t*z**2 + 3*z**2 wrt z?
-24*z
Suppose 4*n - 2 = 6. Differentiate n*g + 3 - 4 - 2 with respect to g.
2
What is the second derivative of 0*g**5 + 4*g**5 - 2*g**5 + 3*g - 4*g wrt g?
40*g**3
Let r(k) = 32*k**2 + 12*k + 115. Let o(s) = 11*s**2 + 4*s + 38. Let m(v) = -11*o(v) + 4*r(v). Differentiate m(y) with respect to y.
14*y + 4
Let s(r) be the second derivative of 0*r**2 + 5/6*r**3 + 0 + 6*r + 0*r**4 - 9/20*r**5. Find the second derivative of s(f) wrt f.
-54*f
Let q(c) = c**2 + 1. Let b(k) = 8*k**2 - 2*k + 5. Let u = 11 + -13. Let n(i) = u*b(i) + 10*q(i). What is the second derivative of n(d) wrt d?
-12
Let q be 3 + ((-3)/(-3))/(-1). Find the third derivative of 2*x**6 - x**2 + 0*x**2 + 0*x**q + 0*x**2 wrt x.
240*x**3
Find the third derivative of -2*i**2 - 5*i**2 + 0*i**2 - 2*i**2 + 24*i**3 wrt i.
144
Let i(p) be the second derivative of -3*p**4/4 + 3*p**2/2 - p. What is the first derivative of i(b) wrt b?
-18*b
Suppose -4*n = -4*d - 24, 2*n + 1 - 10 = d. Find the second derivative of 2*p**3 + p + p**n + p - p wrt p.
18*p
Suppose 0*n = 5*x - 4*n + 6, 8 = 2*n. What is the second derivative of 0*c**2 + 0*c**3 + 0*c**x + c**3 - 2*c wrt c?
6*c
Suppose -124 = -4*o - 36. Suppose 0 = 2*f - t + 3*t - o, -4*f = t - 32. Find the second derivative of 2*q**3 + 2*q**3 + 0*q - f*q**3 - q wrt q.
-18*q
Let k(b) = b**2 - 7*b - 4. Let g be k(8). Suppose 0 = j, -j = -i - g + 7. Differentiate 2*s**2 + 2*s**2 - i*s**2 - 2 wrt s.
2*s
Let v(o) = -o**2 - 5*o. Let w be v(-4). What is the derivative of -w*d**4 - 3*d**3 - 4*d**3 + 7*d**3 + 1 wrt d?
-16*d**3
Let i be (-1)/3 - (-7)/3. What is the first derivative of 2*s**3 + 33*s**i - 33*s**2 - 2 wrt s?
6*s**2
Let s(w) be the second derivative of -w**7/1260 - w**6/720 + w**4/4 + w. Let z(o) be the third derivative of s(o). Find the second derivative of z(q) wrt q.
-4
Let t(g) = -6*g + 1 + 5*g + 0*g. Let j be t(-5). Find the third derivative of 0*p**2 + p**2 - 9*p**6 + 7*p**j wrt p.
-240*p**3
Let g(v) be the first derivative of -26*v**5/5 - 23*v - 13. Differentiate g(s) wrt s.
-104*s**3
Let y(c) = c**2 - 5*c + 5. Let b be y(4). Suppose 3 = 2*z - b. Find the third derivative of 3*d**5 - 2*d**5 - 2*d**5 + d**z wrt d.
-60*d**2
Let r(h) be the third derivative of 0*h + 1/60*h**6 + 1/20*h**5 + 0 + 0*h**4 - 2*h**2 + 0*h**3. What is the third derivative of r(t) wrt t?
12
Let w = 10 + -8. Find the second derivative of 3*j**2 + 5*j + 2*j**4 - j**2 - w*j**2 wrt j.
24*j**2
Differentiate -41 - 23*v - 2*v + 55 wrt v.
-25
Find the second derivative of -11*o**2 - 6*o - 6*o**2 - 2*o**2 + 22*o wrt o.
-38
Let i be (-3 - 0/2)*1. Let v = -3 - i. What is the third derivative of v*h**4 - h**2 - 4*h**4 + 5*h**4 wrt h?
24*h
Find the third derivative of 8*o**5 - 80 + 80 + 10*o**2 wrt o.
480*o**2
Let i(p) be the third derivative of 5*p**9/504 - p**8/168 + p**5/10 - 8*p**2 + 2*p. What is the third derivative of i(t) wrt t?
600*t**3 - 120*t**2
Let q(k) be the third derivative of k**6/30 + 7*k**3/6 + k**2. Find the first derivative of q(b) wrt b.
12*b**2
Let t(v) be the third derivative of -49*v**4/24 + 15*v**3/2 + v**2 + 34*v. Find the first derivative of t(j) wrt j.
-49
Suppose 0 = -o - 4 + 9. What is the second derivative of -1 + 1 + o*z + 4*z**3 wrt z?
24*z
Let p(i) be the second derivative of i**8/4 + 5*i**4/3 - 24*i. What is the third derivative of p(q) wrt q?
1680*q**3
Let k(t) = t**3 + 13*t**2 + 12*t + 4. Let y be k(-12). What is the second derivative of c**4 - 6*c**4 - 6*c + c**y wrt c?
-48*c**2
Let b(q) = 6*q**2 - 2*q - 3. Suppose -8*u + 48 = -2*u. Let m(w) = -18*w**2 + 6*w + 8. Let s(c) = u*b(c) + 3*m(c). What is the second derivative of s(t) wrt t?
-12
Let y(j) = -j**3 + 8*j**2 + 9*j + 4. Let r be y(9). Differentiate 0 + r*x**4 - 3*x**4 - 1 wrt x.
4*x**3
Let t(q) be the third derivative of 7*q**4/24 + 7*q**3/3 + 10*q**2. Differentiate t(w) wrt w.
7
Let w(h) be the third derivative of h**7/70 + 7*h**4/24 + 9*h**2. Find the second derivative of w(x) wrt x.
36*x**2
Suppose 4*m - 60 = -k, 2 = -m + 5*k - 4. Suppose -5*t - 26 = -6, 5*h - t = m. Find the second derivative of 3*w**5 + 0*w**5 - w**5 - h*w wrt w.
40*w**3
Let t = 55 + -164/3. Let i(b) be the second derivative of 4*b + 0 + 0*b**2 + t*b**4 + 1/2*b**3. What is the second derivative of i(k) wrt k?
8
Let p(h) = 30*h**2 + 21*h + 5. Let q(a) = a**2 - a - 1. Let u(m) = -p(m) - 5*q(m). Find the second derivative of u(o) wrt o.
-70
Let t = -5 - -10. What is the second derivative of 0*y**5 + y**t - 3*y + y wrt y?
20*y**3
Let k(q) be the third derivative of 3*q**5/20 + 5*q**4/12 - 8*q**2. What is the second derivative of k(c) wrt c?
18
Let g be (-30)/(-7) + (-14)/49. What is the second derivative of 5*z - 2*z - 3*z**2 - z + g*z**2 wrt z?
2
Let a(j) = -2*j - 