20*r
Let w(k) = -7*k**3 - 4*k + 5. Let l(a) = -8*a**3 - 4*a + 6. Let z be 3/2 + 45/(-6). Let o(u) = z*w(u) + 5*l(u). What is the second derivative of o(g) wrt g?
12*g
Let p(n) = n**2 + 7*n. Let f(o) = -2*o**2 - 6*o + 1. Let s(v) = 2*f(v) + 3*p(v). Let g be s(9). Find the first derivative of -2 + 0*u**2 + u**g + u**2 wrt u.
4*u
Let r(d) be the first derivative of -d**4 - 4 + 1 + 0 + 4 - 2*d**2. Find the second derivative of r(t) wrt t.
-24*t
Let u(j) be the first derivative of 0*j**3 + 3/2*j**4 + 9/2*j**2 + 0*j - 8. Find the second derivative of u(b) wrt b.
36*b
Let j(w) be the second derivative of -5*w**8/28 - 5*w**4/12 - 17*w. Find the third derivative of j(u) wrt u.
-1200*u**3
Let z(i) = 2*i**2 + 1. Let w be z(-2). Find the third derivative of w*n**2 - 9*n**2 + 9*n**2 + 0*n**2 + 4*n**4 wrt n.
96*n
Suppose -2*z + 2 + 22 = 2*a, -5*a = -25. Let i(n) = -n**2 + 8*n - 4. Let h be i(z). Find the third derivative of -h*x**3 + 0*x**2 + x**2 + 5*x**3 wrt x.
12
Let v be (-2 - 0)/(4/(-10)). What is the second derivative of 3*r**5 + r - r**v + r**4 - r**4 wrt r?
40*r**3
Suppose 0 = r - 4*r + 21. Find the first derivative of 9*k - 9*k - 6*k**4 + r - 3 wrt k.
-24*k**3
Suppose 5*s = 3*j + 15, 2*s - s - 3 = -5*j. What is the second derivative of -2*d + 3*d - 5*d**3 + 2*d**s - 2*d wrt d?
-18*d
Suppose -3*u = -u - 8. What is the second derivative of t**4 - t**5 - t**u + 3*t wrt t?
-20*t**3
Let u(p) be the first derivative of -12*p**5/5 + 11*p**2/2 + 7. Find the second derivative of u(i) wrt i.
-144*i**2
What is the third derivative of -273*d**2 - 4*d**3 - 3*d + 138*d**2 + 133*d**2 + 23*d**3 wrt d?
114
Suppose 2*i + i - 9 = 3*d, 0 = 4*i + 2*d - 12. Suppose i*g = 2*g + 4. Find the second derivative of 2*z + z**4 - z**4 + 2*z**g wrt z.
24*z**2
Let j(z) be the first derivative of 29*z**2/2 + 8*z + 21. What is the derivative of j(a) wrt a?
29
Find the first derivative of -n**3 - 45*n**4 + 27 + 3*n**2 + n**3 + 39*n**4 wrt n.
-24*n**3 + 6*n
Let o(d) be the first derivative of -9*d**5/5 + d**4/4 - 3*d**3 + d**2/2 + 39. Find the third derivative of o(n) wrt n.
-216*n + 6
Let d(t) be the second derivative of -t**6/30 + t**5/20 + 3*t**2/2 - t. Let r(f) be the first derivative of d(f). What is the third derivative of r(y) wrt y?
-24
Let q(m) = 24*m**3 + 2*m - 3. Let g(a) = 23*a**3 + 3*a - 2. Let d(y) = 2*g(y) - 3*q(y). Find the first derivative of d(p) wrt p.
-78*p**2
What is the third derivative of -6*y**3 - 21*y**3 - 84 + 42*y**2 + 84 wrt y?
-162
Let z(f) be the first derivative of 43*f**2/2 + 8*f - 40. Differentiate z(x) wrt x.
43
Let q(l) be the third derivative of -l**8/48 + 7*l**4/24 + 3*l**2. Find the second derivative of q(d) wrt d.
-140*d**3
Let t(q) be the first derivative of 0*q**2 - q - 4/3*q**3 + 6. Differentiate t(r) with respect to r.
-8*r
Let i = -10 - -17. Let b(p) = 6*p**2 - 13. Let h(g) = -9*g**2 + 19. Let r(o) = i*b(o) + 5*h(o). Differentiate r(a) wrt a.
-6*a
Let k be -2 - (-1 + 2*-2). Suppose 0*i + k*i + 3*o = 0, 0 = -2*o. What is the second derivative of -1 + a - a**5 + i*a + 1 wrt a?
-20*a**3
Let n(m) = -m**3 + 9*m**2 + m + 7. Let x be n(9). Differentiate -2*s**3 + 14 - x - 3*s**3 with respect to s.
-15*s**2
Let w be (3/2)/(6/8). Suppose -w*x = m - 6, 5 = 4*m - 3*x - 8. What is the second derivative of 2*g - g**2 + g - m*g wrt g?
-2
Find the second derivative of -13*l**2 - 67*l + 0*l**2 + 8*l**2 - 43*l**2 wrt l.
-96
Find the third derivative of -4*t**2 - t**2 - 30*t**3 - 8*t**6 + 30*t**3 wrt t.
-960*t**3
Let z(i) = i**3 + 6*i**2 + 6*i + 10. Let n be z(-5). What is the third derivative of 6*q**2 + 13*q**5 + 14*q**5 - 25*q**n wrt q?
120*q**2
Let u(k) be the third derivative of 0*k + 0*k**5 + 0*k**3 - 1/12*k**4 - 6*k**2 + 1/40*k**6 + 0. What is the second derivative of u(d) wrt d?
18*d
Let z(t) = -t**3 - 3*t**2 + 3. Let a be z(-3). Suppose 4*d = -a*x + 8, -d + 5*d - 4*x - 8 = 0. Find the first derivative of 2*v**4 - d*v**2 - 1 + 2*v**2 wrt v.
8*v**3
What is the third derivative of 0*r**5 + r**5 - 3*r**5 + r**2 wrt r?
-120*r**2
Let b = -2 + 2. What is the first derivative of 3 - 3*c + b*c + 2*c wrt c?
-1
Let v(b) be the third derivative of -3*b**6/40 - b**5/15 + 5*b**2. Find the third derivative of v(m) wrt m.
-54
Suppose 5*v + 31 + 5 = 4*y, -5*y - 5 = 0. Let a = 8 + v. Differentiate -2*i**3 - 5*i + 3 + 5*i + a wrt i.
-6*i**2
Let p be 96/36*6/4. Differentiate 0 - 4 - 3 + p + 2*u with respect to u.
2
Suppose 4*a + 4 = 12. Let z be (a/(-3))/((-1)/3). Find the third derivative of -3*q**4 + 2*q**4 + 0*q**4 - q**z wrt q.
-24*q
Let w(o) = -o. Let n(t) = -4*t + 3. Let i(q) = -q**3 + q**2 + 4*q - 3. Let f be i(2). Let s(z) = f*n(z) - w(z). Find the first derivative of s(j) wrt j.
-3
Suppose 0 = -3*s + 2*s + c, 2*c + 5 = 3*s. Let u = -2 + s. What is the third derivative of -j**2 + 2*j**4 - 3*j**3 - 2*j**2 + 3*j**u wrt j?
48*j
What is the first derivative of 3*h - 6 + 0*h - 3 wrt h?
3
Let m(q) = -6*q**2 - 18. Let g(l) = -7*l**2 - 18. Let d(s) = -5*g(s) + 4*m(s). Find the first derivative of d(t) wrt t.
22*t
Let p(l) = 2*l. Let n(j) = -10*j - 2. Let c(u) = 2*n(u) + 6*p(u). Find the first derivative of c(f) wrt f.
-8
What is the second derivative of -4*j + 2*j - 3*j + 6*j**2 wrt j?
12
Let o(d) be the second derivative of d**9/3024 - d**5/60 + d**3/6 - 3*d. Let j(a) be the second derivative of o(a). Find the second derivative of j(p) wrt p.
20*p**3
Let q(o) be the third derivative of 2*o**2 - 1/70*o**7 + 0*o**6 + 0*o**4 + 0*o + 0 + 1/2*o**3 + 0*o**5. What is the derivative of q(u) wrt u?
-12*u**3
Let u(g) be the second derivative of 7*g**4/12 + 4*g**2 - 4*g. Differentiate u(h) wrt h.
14*h
What is the second derivative of 7*n**4 + 82 - 82 - 21*n**4 + 14*n wrt n?
-168*n**2
Suppose 3*k = -0 - 3. Let w be (-2)/k + 7 + -4. What is the third derivative of 0*s**5 + 3*s**2 - 4*s**2 + s**w wrt s?
60*s**2
Let j(s) = 2*s**3 + s - 1. Let g(l) = 13*l**3 - 11*l**2 + 5*l - 34. Let f(u) = g(u) - 5*j(u). What is the derivative of f(p) wrt p?
9*p**2 - 22*p
Let j(c) be the second derivative of 11*c**4/6 + 4*c**3/3 - 22*c. What is the second derivative of j(w) wrt w?
44
Let a(o) = 4*o - 4. Let u(y) = y + 1. Let l(b) = -a(b) - 3*u(b). Let z(j) = -20*j + 2. Let t(f) = 17*l(f) - 6*z(f). What is the first derivative of t(k) wrt k?
1
Let a(s) = 2*s - 7. Let j be a(6). Suppose -3*c + 2*r + 20 = 0, -r + 4 = 2*c - 0*c. What is the first derivative of -b - c*b + j*b - 2 + b**3 wrt b?
3*b**2
Let s(v) be the first derivative of v**6/360 + v**5/60 - v**3/3 + 3. Let p(l) be the third derivative of s(l). What is the second derivative of p(o) wrt o?
2
Let j(t) be the second derivative of t**7/630 + t**5/60 - 5*t**4/12 - 7*t. Let b(v) be the third derivative of j(v). Differentiate b(s) with respect to s.
8*s
Let g(o) be the first derivative of -5*o**4 + 29*o**3/3 + 5. Find the third derivative of g(u) wrt u.
-120
Let o(h) = -96*h - 9. Let v(r) = 24*r + 2. Let j(a) = -4*o(a) - 15*v(a). What is the derivative of j(l) wrt l?
24
Let y(o) be the first derivative of -3*o**5/5 + 7*o - 3. What is the derivative of y(q) wrt q?
-12*q**3
Let z(f) = -f**3 + f**2 + f + 1. Let i(r) = -12*r**3 + 9*r**2 + 9*r + 3. Let y(b) = -i(b) + 9*z(b). Differentiate y(s) with respect to s.
9*s**2
Suppose 3*m + 0*i + 2*i = 13, -3*m + 17 = 4*i. Find the third derivative of 39*o - o**2 + 4*o**m - 39*o wrt o.
24
Let l(w) = -8*w**3 - 6*w**2 - 6*w + 1. Let k(y) = -9*y**3 - 7*y**2 - 7*y + 1. Let f(x) = -6*k(x) + 7*l(x). What is the derivative of f(a) wrt a?
-6*a**2
Let j(y) = -18*y**4 + 5*y**3 + 5*y**2 - 10. Let q(l) = -9*l**4 + 2*l**3 + 2*l**2 - 5. Let k(f) = 2*j(f) - 5*q(f). Find the first derivative of k(o) wrt o.
36*o**3
Let c(w) = w**3 - w + 1. Let z(q) = -3*q**3 + 5*q**2 + 5*q - 5. Let f = 15 + -10. Let r(o) = f*c(o) + z(o). What is the third derivative of r(x) wrt x?
12
Let b = -36 - -36. Suppose 0*r + 5*r = 0. What is the second derivative of z - 2*z**2 + r*z + b*z wrt z?
-4
What is the second derivative of 42*q**2 + 18*q**2 + 40*q + 30 - 30 wrt q?
120
Let j be (-4)/(-1) + (1 - 1). Let p = -4 + 9. What is the second derivative of -j*o**4 - o**p + 4*o**4 + o wrt o?
-20*o**3
Let u(i) = -i**4 - i**2 + i + 1. Let a(y) = -12*y**4 - 3*y**2 + 3*y + 14. Let w(n) = a(n) - 3*u(n). What is the first derivative of w(m) wrt m?
-36*m**3