j**5 + 8*j**2 wrt j?
2520*j**2
Suppose b + 0*o = -3*o + 20, 20 = 5*o. Suppose 0*n - 4*n = -b, 4*n = -x + 12. Find the second derivative of -2*w + 4*w + x*w - 3*w**3 - 2*w wrt w.
-18*w
Let n(o) = 21*o**4 + 13*o**2 - 6*o - 6. Let t(g) = 42*g**4 + 25*g**2 - 13*g - 13. Let a(u) = -13*n(u) + 6*t(u). What is the third derivative of a(h) wrt h?
-504*h
Suppose -10 = -3*z - a, 4*z = 3*z - 2*a + 5. Let v be ((-7)/(-3) - 1)*z. What is the derivative of c**4 + 1 - 3*c**4 + 0*c**v wrt c?
-8*c**3
Let j(q) = -2*q - 2. Let u be j(-2). Suppose u + 0 = p. Find the third derivative of 2*w**p + 3 - w**5 - 3 wrt w.
-60*w**2
Let r(c) be the third derivative of -c**6/12 - 13*c**3/3 + 4*c**2. Find the first derivative of r(h) wrt h.
-30*h**2
Let a(y) = 40*y**3 + 3*y - 14. Let t(v) = 120*v**3 + 8*v - 43. Let b(f) = -8*a(f) + 3*t(f). What is the derivative of b(n) wrt n?
120*n**2
Let l be -2 - ((-9)/3)/(-3). Let i = l + 6. Find the third derivative of 2*f**2 + f**3 - 2*f**i - f**3 wrt f.
-12
Let t(d) be the third derivative of 0*d - 5*d**2 + 0*d**6 + 0 + 0*d**4 + 1/30*d**7 + 0*d**3 - 7/60*d**5. Find the third derivative of t(q) wrt q.
168*q
Suppose 4*o + 5*t = 28, 0*o = 2*o - 2*t + 4. Find the second derivative of -2*m**2 + o*m**2 + 2*m + 3*m**5 wrt m.
60*m**3
Let w(z) be the first derivative of z**6/120 - z**5/15 - 5*z**2/2 + 1. Let s(t) be the second derivative of w(t). What is the third derivative of s(m) wrt m?
6
Let a(u) be the second derivative of 5*u**4/12 + 7*u**2 + 14*u. Differentiate a(z) wrt z.
10*z
Let q(k) be the second derivative of 0*k**2 - k + 1/12*k**4 + 0 + 1/2*k**3. Find the second derivative of q(t) wrt t.
2
Let s(i) be the second derivative of i**7/630 + i**6/240 + i**4/6 + i. Let r(x) be the third derivative of s(x). Find the second derivative of r(z) wrt z.
8
What is the second derivative of -6*u - 9*u**5 + 11*u + 0*u wrt u?
-180*u**3
Let b(m) = 6*m**3 - m**2 + 3. Let u = 16 + -11. Let r(f) = 11*f**3 - 3*f**2 + 5. Let w(y) = u*b(y) - 3*r(y). Find the third derivative of w(a) wrt a.
-18
Let i(v) be the third derivative of -v**5/10 + v**4 + 10*v**2. What is the second derivative of i(r) wrt r?
-12
Let b(a) be the second derivative of a**8/4 - a**4 + 13*a. Find the third derivative of b(m) wrt m.
1680*m**3
Let k(n) = -n**2 - n - 1. Let g(j) = -6*j**2 - 12*j - 5. Let w(i) = g(i) - 5*k(i). What is the second derivative of w(s) wrt s?
-2
Find the second derivative of -b + 7*b - 3*b**5 + b**5 wrt b.
-40*b**3
Let o(x) be the first derivative of 0*x**4 + 9 + 0*x**3 - 5/6*x**6 + 0*x**5 - 5/2*x**2 + 0*x. Find the second derivative of o(a) wrt a.
-100*a**3
Let c(p) = -11*p**3 + 2*p**2. Let t(m) = -m**3. Let s(d) = -c(d) + 6*t(d). What is the third derivative of s(u) wrt u?
30
Let f(g) = 10*g**3 - 5*g**2 + 5*g - 27. Let i(t) = -30*t**3 + 16*t**2 - 16*t + 80. Let j(o) = 16*f(o) + 5*i(o). Find the first derivative of j(m) wrt m.
30*m**2
Let f(k) = 10*k**2 - 16. Let o(y) be the second derivative of -y**4/6 + 3*y**2/2 + 5*y. Let u(w) = 2*f(w) + 11*o(w). What is the derivative of u(a) wrt a?
-4*a
Let z(o) be the third derivative of o**6/20 - o**3/6 - o**2. Differentiate z(n) with respect to n.
18*n**2
Let l(u) be the first derivative of 2*u**2 - 2*u**2 - 1 - u**5 + u + 5*u. Differentiate l(r) with respect to r.
-20*r**3
What is the third derivative of -8*t**3 - 2*t**3 + 171*t**2 - 152*t**2 wrt t?
-60
Suppose -3*b - 2*b + 14 = -2*w, -2*b = -3*w - 10. Differentiate -4*d**2 - d**2 + 6 - 2*d**2 + d**b wrt d.
-12*d
Suppose 3 + 3 = 2*i. Suppose -3*r - i = -3*h, h - 3 = 1. What is the third derivative of k**3 + k**2 - 3*k + r*k wrt k?
6
Suppose -5*j = 2*x + 1, -j + 0 = -1. Let h be 3 + 1 + 1 + x. What is the second derivative of -3*o + 2*o - h*o**3 + 3*o**3 wrt o?
6*o
Let t = 235 - 4699/20. Let g(d) be the second derivative of 0*d**3 + 3/2*d**2 + t*d**5 + 0 + 3*d + 0*d**4. Differentiate g(b) wrt b.
3*b**2
Let t = -1 - 12. Let c(u) = -8*u - 2. Let p(w) = 17*w + 5. Let v(x) = t*c(x) - 6*p(x). What is the derivative of v(i) wrt i?
2
Let m be 0/(2 - 0) + 2. Differentiate -m*d - 2 - 2*d + 3 - 5 wrt d.
-4
Let s(g) be the third derivative of 0*g + 4*g**2 + 1/20*g**6 + 0*g**3 + 0 - 1/6*g**4 + 0*g**5. Find the second derivative of s(j) wrt j.
36*j
What is the third derivative of -10*o**4 + 3*o**2 + 22*o**4 - 12*o**2 wrt o?
288*o
Let a(h) = 8*h + 3. Let d(k) = -k + 1. Let o(w) = -a(w) + 2*d(w). Let u(t) = 3*t - 7*t + t. Let n(i) = 2*o(i) - 7*u(i). Find the first derivative of n(j) wrt j.
1
Suppose 4*t - 53 = -21. Let s = t - 8. What is the first derivative of s*l**4 + 1 - l**4 + 3*l**4 wrt l?
8*l**3
Let a(p) be the third derivative of p**7/42 - 7*p**5/60 + 8*p**2. What is the third derivative of a(k) wrt k?
120*k
Let v be (-14)/(-3) - (-8)/(-12). What is the first derivative of 4*q**4 + 4*q**4 - 6 + 1 - 5*q**v wrt q?
12*q**3
Let w(y) be the first derivative of -y**7/70 - y**3/2 + y**2/2 + 1. Let h(j) be the second derivative of w(j). What is the first derivative of h(l) wrt l?
-12*l**3
Let q(t) be the first derivative of -5/2*t**2 - 4*t + 5. Find the first derivative of q(g) wrt g.
-5
Let u(g) = -3*g**2 + 5*g - 1. Let o(l) = 0*l + 3*l + l - 2*l**2. Let b(r) = -5*o(r) + 4*u(r). What is the first derivative of b(a) wrt a?
-4*a
Let u(x) be the second derivative of 2*x**6/5 + x**4/4 + 10*x. Find the third derivative of u(d) wrt d.
288*d
Let z(l) be the third derivative of -11*l**9/504 + 2*l**5/15 + 9*l**2. What is the third derivative of z(c) wrt c?
-1320*c**3
Find the second derivative of -12*n**4 - 5*n - 10*n - n + 4*n wrt n.
-144*n**2
Suppose -5*s + 2*s + 15 = 0. Suppose -b + s = -0*b. What is the third derivative of 2*x**b - 4*x**5 - x**2 + 2*x**2 wrt x?
-120*x**2
Let q be (-5)/10 - (-1 - 0). Let z(k) be the second derivative of 0*k**4 + 0*k**5 + 1/15*k**6 + 0*k**3 + q*k**2 - k + 0. Differentiate z(g) wrt g.
8*g**3
Let k(i) = 9*i**2 + 13*i + 4. Suppose -2*b = b + 18. Let j(a) = -4*a**2 - 6*a - 2. Let d(p) = b*k(p) - 13*j(p). What is the first derivative of d(c) wrt c?
-4*c
Let i(s) = s + 13. Let p be i(-7). Let t(d) = d**3 - 7*d**2 + 7*d - 2. Let y be t(p). What is the second derivative of 3*r**5 - r**5 + r**5 + 2*r - y*r wrt r?
60*r**3
Let q = 7 + -5. Let a(s) be the third derivative of -q*s**2 + 0*s + 0*s**4 + 0 - 1/30*s**5 - 1/3*s**3. What is the derivative of a(w) wrt w?
-4*w
Let h(j) = -4*j - 1. Let d(m) = -m. Let w(n) = n**3 + 6*n**2 + 3*n + 3. Let o be w(-6). Let u(b) = o*d(b) + 5*h(b). What is the first derivative of u(g) wrt g?
-5
Let n(v) = 20*v**3 + 14*v. Let c(s) = 13*s**3 + 9*s. Let b(o) = -8*c(o) + 5*n(o). Find the second derivative of b(k) wrt k.
-24*k
Let u(q) be the first derivative of q**7/120 + 7*q**4/24 - 7*q**3/3 + 3. Let l(x) be the third derivative of u(x). Differentiate l(k) wrt k.
21*k**2
Let y(k) be the first derivative of 11*k**7/7 - 2*k**3 + 6. Find the third derivative of y(j) wrt j.
1320*j**3
Let s = 0 - 2. Let k be (4 + -3)/(s/(-10)). Find the second derivative of p + p + p**5 - k*p wrt p.
20*p**3
Suppose 4*z = y + 3*y + 24, 2*y + 22 = 4*z. Find the third derivative of -3*t**5 + 6*t**z + 7*t**2 + 0*t**2 - 4*t**5 wrt t.
-60*t**2
Let y = -268 - -5361/20. Let z(r) be the second derivative of -y*r**5 + 0*r**3 + 0*r**2 + 0 - r - 1/6*r**4. Find the third derivative of z(l) wrt l.
-6
Let w = 23 - 20. What is the third derivative of l**2 + 2*l**3 - l**3 - 2*l**w + 4*l**3 wrt l?
18
Let d(y) be the third derivative of -11*y**6/120 - 7*y**3/6 + 10*y**2. What is the derivative of d(v) wrt v?
-33*v**2
Let c(t) = 0*t**3 + 0 - 4*t**3 + 5*t**3 + 3. Let y = 3 + -7. Let n(d) = d**3 + 3. Let s(v) = y*n(v) + 5*c(v). What is the first derivative of s(w) wrt w?
3*w**2
Suppose -3*z = -z - 18. Let q(x) = 4*x**4 + 9*x - 9. Let l(j) = 2*j**4 + 5*j - 4. Let n(u) = z*l(u) - 4*q(u). What is the second derivative of n(m) wrt m?
24*m**2
Let f(k) = 29*k**5 - 19*k**2 - 5*k. Let h(i) = 15*i**5 - 9*i**2 - 2*i. Let q(r) = 2*f(r) - 5*h(r). What is the third derivative of q(d) wrt d?
-1020*d**2
Let y be (1 + -1)/(-1) + 0. Suppose -2*h - 2*m + 12 = y, -m = -h - 0 - 2. Find the third derivative of 3*x**h + x**4 + x**2 - 2*x**2 wrt x.
24*x
Find the third derivative of 14*x**2 - 7*x**2 - 5*x**6 - 3*x**6 wrt x.
-960*x**3
What is the second derivative of 7*f**3 - 18*f**3 + 5*f - 15*f**3 -