*s + s**2 - 2/3*s**3 + 0 + 0*s**5. Find the first derivative of r(u) wrt u.
-3*u**2
Let o(x) = -x**3 - x**2 + 4*x + 3. Let s be o(-2). Let d = s - -3. What is the third derivative of 2*m**d - 2*m**4 - 4*m**2 + m**4 wrt m?
-24*m
Suppose -6*f + 3*f - 5*i = -32, -5*i = -20. What is the derivative of -3*u**f - 5 + 6*u**4 - 1 + 3 wrt u?
12*u**3
Let i(j) = -2*j**2 + j - 1. Let l be (-4)/(1 - (0 - -2)). Let f(m) = m**2 + m + 1. Let w(n) = l*i(n) + 4*f(n). What is the second derivative of w(a) wrt a?
-8
Let x be (4/(-8))/(3/(-90)). Suppose m = -2*m + x. What is the second derivative of -i + i**2 - i**2 - 4*i**2 + m*i**2 wrt i?
2
Let d(b) be the second derivative of 3*b**7/70 - b**5/12 + 5*b**2 - b. Let m(q) be the first derivative of d(q). Find the third derivative of m(r) wrt r.
216*r
Let k(i) be the first derivative of -5*i**4/2 - 29*i - 23. What is the first derivative of k(q) wrt q?
-30*q**2
Let n(x) = -15*x**2 - 2*x + 14. Let k(j) = -75*j**2 - 11*j + 70. Let m(f) = 2*k(f) - 11*n(f). Differentiate m(y) wrt y.
30*y
Suppose 18 = -k - 5*o + 6, k - 4*o - 15 = 0. Find the third derivative of 0*x**2 + 4*x**6 - k*x**6 + 0*x**2 + 2*x**2 wrt x.
120*x**3
Let w(j) be the first derivative of 7*j**3/3 + 19*j + 13. Find the first derivative of w(s) wrt s.
14*s
Let b(i) be the first derivative of 15*i**7/7 + 19*i**3/3 + 8. What is the third derivative of b(r) wrt r?
1800*r**3
Let h(q) be the first derivative of -2 - 7/3*q**3 + 0*q - q**2. Find the second derivative of h(a) wrt a.
-14
What is the second derivative of 4*z**4 - 5*z + 19*z + 4*z**4 - 3*z**4 wrt z?
60*z**2
Suppose 0 = 5*j + 28 - 168. Find the third derivative of 3*i**6 + 17*i**2 - j*i**2 + 12*i**2 wrt i.
360*i**3
Let r(i) be the first derivative of -46*i**3/3 - 55*i + 43. Find the first derivative of r(x) wrt x.
-92*x
Let p(b) be the first derivative of -1 + 1/2*b**2 + 0*b**3 + 0*b**4 + 0*b - 2/5*b**5. What is the second derivative of p(g) wrt g?
-24*g**2
Let b(a) be the second derivative of -a**4/12 + a**3/2 - a**2 + 5*a. Let j(r) be the first derivative of b(r). What is the derivative of j(x) wrt x?
-2
Let a(k) be the second derivative of -k**4/12 + 4*k. Let l(j) = 2*j**2 + 2. Let s(v) = 5*a(v) + l(v). What is the first derivative of s(z) wrt z?
-6*z
Let m = -6 + 13. Find the third derivative of 2*l**4 + m*l**2 + 0*l**2 - 2*l**2 wrt l.
48*l
Differentiate 5*r + 11*r**3 + 7 - 18*r**3 - 5*r wrt r.
-21*r**2
Let g(y) = y**2 + 3*y - 1. Let i(u) = u**2 + 8*u - 13. Let r be i(-9). Let x be g(r). What is the third derivative of 10*v**2 - v**x - v**3 - 9*v**2 wrt v?
-12
Let k be 5*2*(-1)/(-5). Find the second derivative of 0*x**k + 3*x**5 - 2*x + 0*x**5 + 0*x**2 wrt x.
60*x**3
Let v(w) = w - 3. Let g(y) = y - 2. Let u(n) = -6*g(n) + 5*v(n). Let d be u(-6). What is the second derivative of -2*t**3 + 5*t**d - 2*t**3 + t wrt t?
6*t
Suppose b - 19 = -4*s - 0*s, b + 1 = s. What is the third derivative of -4*h**3 - 3 + 3*h**2 + b wrt h?
-24
What is the first derivative of -13 - 7 + c**2 + 3 wrt c?
2*c
Let f = 12 + -17. Let s = -5 - f. What is the derivative of 0 - 2*t + 4 + 3*t + s wrt t?
1
Let f(q) be the second derivative of -q**3/3 - q**2 - 4*q. Let m be f(-3). Differentiate -4*w - 2*w**2 - 2 + 0*w + m*w with respect to w.
-4*w
Let a(s) = s**2 + 5*s - 3. Let c be a(-5). Let x be (-21)/(-12) - c/12. Differentiate 1 - 6*u + 2 + 4*u**x + 6*u wrt u.
8*u
Let q(l) be the third derivative of -4*l**2 - 1/20*l**5 + 1/120*l**6 + 0*l**3 + 0*l**4 + 0 + 0*l. Find the third derivative of q(j) wrt j.
6
Let d(y) be the second derivative of -y**8/960 - y**7/840 + y**4/3 + y. Let n(x) be the third derivative of d(x). What is the third derivative of n(c) wrt c?
-42
Let c(o) = -6*o**3 - 6*o - 23. Let s(h) = -13*h**3 - 11*h - 47. Let j(g) = -11*c(g) + 6*s(g). What is the derivative of j(i) wrt i?
-36*i**2
What is the derivative of -61*c**2 + 61*c**2 + 7*c**4 - 1 wrt c?
28*c**3
Let i(v) be the first derivative of 7*v**4/4 + 3*v - 4. Differentiate i(s) with respect to s.
21*s**2
Let p(d) be the first derivative of 2*d**4 + 3*d + 4. Find the first derivative of p(n) wrt n.
24*n**2
Let z be (132/20 - 6/10) + -3. Suppose -5 = 3*v + 7, 0 = 5*o - 3*v - 22. What is the derivative of -3*d**2 - d**o + d**2 + z + d**2 wrt d?
-4*d
Let d(x) = x**2 - x - 1. Let r be d(-2). What is the second derivative of -5*w**5 + 3*w**r + 3*w - 2*w**5 + 3*w wrt w?
-80*w**3
Let b(t) = 5*t**6 - 2*t**5 + 14*t**2 + 2*t + 2. Let a(x) = -x**6 - x**5 + x + 1. Let h(n) = 2*a(n) - b(n). Find the third derivative of h(c) wrt c.
-840*c**3
Suppose 16 = k + 6. What is the third derivative of 3*t**2 + 10*t**3 - 3*t**4 - k*t**3 + 2*t**2 wrt t?
-72*t
Let o(q) be the second derivative of -10*q**3/3 + 21*q**2/2 + 2*q. What is the first derivative of o(t) wrt t?
-20
Let y = 0 + 1. Let g = y + -1. Find the second derivative of p + g*p + 2*p**2 - p**2 wrt p.
2
Let s(h) be the second derivative of -h**4/8 + 3*h**3/2 + 5*h**2/2 - 8*h. Let z(k) be the first derivative of s(k). What is the derivative of z(q) wrt q?
-3
Let k(o) be the first derivative of o**4/4 + 7*o**3/3 - o**2 - 10*o + 2. Let y be k(-7). Find the second derivative of w + 4*w**y - 2*w**4 - 2*w wrt w.
24*w**2
Let g(s) = 3*s**2 + 1. Let d(r) = 2*r - 8. Let h be d(6). Let o(i) = -2 + 3 + 4 - 3 + h*i**2. Let x(f) = -5*g(f) + 4*o(f). What is the derivative of x(p) wrt p?
2*p
Let g be 110/(-33)*(-6)/5. What is the first derivative of -g*a**3 + 17 - 15 + a**3 wrt a?
-9*a**2
Let j(c) be the second derivative of 7*c**3/3 - 11*c**2/2 - 2*c. Find the first derivative of j(d) wrt d.
14
Let f = 4 - 4. Suppose f*s - s = -5*m + 13, -m + s = -5. Find the first derivative of m*g**2 + 3 - 4 + 0 wrt g.
4*g
Let f(g) = g**2 - 4*g. Let t be f(2). Let v be 2*(0 + -2 - t). What is the second derivative of -v*j + 3*j + 2*j + j**5 wrt j?
20*j**3
Let k(z) = -z**3 + 14*z**2 - z + 17. Let m be k(14). What is the first derivative of 2*y - 3*y + m*y + 0 - 3 wrt y?
2
Let h(m) = m**2 - 8*m + 9. Let c be h(7). Let a be (-1)/c*0/2. Differentiate -3 + 2*g**2 + a*g**2 + 4 with respect to g.
4*g
What is the derivative of -9*g**3 + 46 - 19*g**3 + 37*g**3 - 28*g**3 wrt g?
-57*g**2
Suppose -5*s + 476 = -3*s. Find the third derivative of -8*y**2 + s*y - 238*y - 11*y**6 wrt y.
-1320*y**3
Let q(x) = -4*x**4 + 5*x**3 - 13*x**2 - 5*x. Let y(j) = j**4 + j**3 - j**2 - j. Let z(n) = -q(n) + 5*y(n). What is the third derivative of z(f) wrt f?
216*f
What is the third derivative of 4*h + 7*h - 58*h**4 + 10*h**3 + 3*h**2 - 3*h**3 + 59*h**4 wrt h?
24*h + 42
Let l(d) = 2*d - 6. Let f(n) = n**4 + 4*n - 11. Let i(m) = 6*f(m) - 11*l(m). What is the second derivative of i(o) wrt o?
72*o**2
Let f(b) be the first derivative of 0*b + 5/4*b**4 - 5/3*b**3 - 3 + 0*b**2. Find the third derivative of f(m) wrt m.
30
Let h(o) be the second derivative of 0 - 1/4*o**4 + 0*o**3 + 0*o**5 + 1/10*o**6 - 4*o + 0*o**2. Find the third derivative of h(m) wrt m.
72*m
Let w(b) be the second derivative of 7*b**4/6 + 15*b**2/2 - b. Find the first derivative of w(r) wrt r.
28*r
Let w(v) be the third derivative of -5*v**9/72 + v**5/30 - 9*v**2. What is the third derivative of w(o) wrt o?
-4200*o**3
Let d be (-1)/4 - (-143)/44. Find the second derivative of c + c**2 + d*c - 5*c**2 + c**2 wrt c.
-6
Let h(f) = -f**2 - 8*f - 5. Let l be h(-7). Let b(q) be the second derivative of 3/2*q**2 + 0 + 0*q**3 + 1/4*q**4 - l*q. Differentiate b(k) with respect to k.
6*k
Let v = 10/17 + -3/34. Let c(d) be the first derivative of -1 + 0*d - 1/5*d**5 + 0*d**3 + v*d**2 + 0*d**4. Find the second derivative of c(j) wrt j.
-12*j**2
Suppose 0*y = 2*y - 16. Let v(l) = l**3 - 7*l**2 - 7*l - 6. Let a be v(y). Find the first derivative of 0 - a + 0*z**4 + z**4 wrt z.
4*z**3
Let m be (-24)/3*(-1)/2. What is the derivative of 0 + 0*q**4 + 2 - m + q**4 wrt q?
4*q**3
Let i(q) be the second derivative of -16*q**6/15 - 29*q**2/2 - 55*q. What is the derivative of i(c) wrt c?
-128*c**3
What is the third derivative of -9*i**3 - 23*i**2 + 23*i**3 - 8*i**3 wrt i?
36
Let t(l) be the third derivative of 11*l**8/336 + 7*l**4/24 + 16*l**2. What is the second derivative of t(z) wrt z?
220*z**3
Let z(k) be the third derivative of k**8/1680 + k**6/90 + 2*k**3/3 - 4*k**2. Let j(a) be the first derivative of z(a). Find the third derivative o