Let a(i) = -i + 9. Let x be a(7). Let t(c) be the third derivative of 0*c + 1/6*c**3 - 1/24*c**4 + 0 - 2*c**x. Find the first derivative of t(s) wrt s.
-1
Let k(x) be the first derivative of 0*x**2 + 0*x**6 + 2 - 7/3*x**3 + 0*x + 0*x**5 - x**7 + 0*x**4. Find the third derivative of k(g) wrt g.
-840*g**3
Let z(x) = -x**2 - 13*x + 3. Let b be z(-13). What is the third derivative of 4*j**6 - 2*j**2 - j**6 + b*j**2 + 2*j**2 wrt j?
360*j**3
Let t(v) be the first derivative of v**6/360 + v**4/8 + 2*v**3/3 - 3. Let o(j) be the third derivative of t(j). What is the first derivative of o(g) wrt g?
2*g
Let z(m) be the first derivative of 0*m**3 - 1/2*m**2 + 1 + 0*m**4 + 1/6*m**6 + 0*m + 0*m**5. Find the second derivative of z(u) wrt u.
20*u**3
Let c(i) be the second derivative of i**10/2520 + i**6/120 + i**3/3 - 3*i. Let m(u) be the second derivative of c(u). Find the third derivative of m(y) wrt y.
240*y**3
Let w(q) be the first derivative of -2*q**2 + 9*q - 5. Find the first derivative of w(b) wrt b.
-4
Let i(b) = -b**2 + 6*b - 6. Let a = -3 + 7. Let f be i(a). Find the third derivative of 3*l**2 + f*l**4 - 4*l**4 - l**2 + 3*l**4 wrt l.
24*l
Let t(c) be the first derivative of 9*c**4/4 - 31*c**2/2 + c + 25. What is the second derivative of t(u) wrt u?
54*u
Let x(f) = f**2 + 4*f - 5. Let d be x(-5). Find the second derivative of d*h - 3*h + 6*h**3 + 2*h - 4*h wrt h.
36*h
Suppose -o + 0*o + 1 = 0. Suppose -2*q = -o - 9. What is the third derivative of 3*j**4 - q*j**4 + 3*j**4 - j**2 wrt j?
24*j
Let n(x) = -x**2 + 10*x - 7. Let r be n(9). Suppose -2*h + a = r*h - 17, a = 2*h - 9. Find the second derivative of 3*q - h*q**3 + q**3 + 0*q wrt q.
-18*q
Let t = 12 - 2. What is the third derivative of 6*g**3 + 4*g**2 - t*g**3 - g**3 wrt g?
-30
Let y(v) be the second derivative of v**7/420 - v**5/24 + 5*v**3/6 + 4*v. Let k(q) be the second derivative of y(q). Find the second derivative of k(a) wrt a.
12*a
Let c(k) be the first derivative of 2*k**3/3 + 11*k + 10. Differentiate c(y) wrt y.
4*y
Let q(y) be the second derivative of 3*y**8/28 - 3*y**4/4 - 2*y. What is the third derivative of q(z) wrt z?
720*z**3
Let h(v) be the second derivative of 5*v**7/14 - v**4/4 - 25*v. Find the third derivative of h(k) wrt k.
900*k**2
Find the first derivative of 90 - 139 - 20*p**3 + 77 - 43*p**3 wrt p.
-189*p**2
Differentiate -8*q**2 + 2*q**2 + 3*q**2 + 8 + q**2 - 16*q with respect to q.
-4*q - 16
Let v(j) = -j**3 - j - 1. Let l(m) = 6*m**4 - 6*m**3 + 6*m**2 - 6*m - 6. Let y(t) = l(t) - 6*v(t). What is the third derivative of y(f) wrt f?
144*f
Let v(d) be the second derivative of d**7/21 - 7*d**3/3 + 14*d. Find the second derivative of v(o) wrt o.
40*o**3
Let n(q) be the second derivative of -q**7/210 + q**4/3 + 5*q**3/3 - 5*q. Let l(j) be the second derivative of n(j). What is the derivative of l(h) wrt h?
-12*h**2
Let a(r) be the first derivative of 4*r**6/3 + 21*r**2/2 - 21. What is the second derivative of a(t) wrt t?
160*t**3
Let k(m) be the first derivative of m**6/15 + m**4/4 - 4*m - 1. Let i(s) be the first derivative of k(s). Find the third derivative of i(x) wrt x.
48*x
Let r be (-4 + 3)*(-1 + 0). Find the first derivative of -2 - 2*o**3 + r + 0 wrt o.
-6*o**2
Let k(f) be the first derivative of -3 + 0*f**4 + 0*f**2 + 0*f + 3*f**3 - 9/5*f**5. What is the third derivative of k(n) wrt n?
-216*n
Let l(w) be the third derivative of w**9/756 - w**6/180 + w**3/6 - 7*w**2. Let q(y) be the first derivative of l(y). Find the third derivative of q(a) wrt a.
240*a**2
Let o = -39 + 41. Let n(z) be the third derivative of 1/24*z**4 + 0*z + 0 + z**o + 1/60*z**5 + 0*z**3. What is the second derivative of n(d) wrt d?
2
Let u(t) be the second derivative of 0*t**6 - 2*t + 0 + 1/4*t**4 + 0*t**3 + 1/21*t**7 + 0*t**2 + 0*t**5. Find the third derivative of u(a) wrt a.
120*a**2
Let f(x) = x**2 + x. Let b(a) = -3*a**2 + 2*a + 2. Suppose j + 0 + 2 = 0. Let l(z) = j*f(z) + b(z). Differentiate l(m) wrt m.
-10*m
Differentiate -52 + 0*f**3 + 3*f**3 + 51 wrt f.
9*f**2
Let h(t) = -6*t**3 + 3*t**2 - 6*t + 3. Let s(m) = 24*m**3 - 13*m**2 + 23*m - 13. Let x(i) = -26*h(i) - 6*s(i). Find the second derivative of x(p) wrt p.
72*p
Let t be (3/4)/((-6)/(-24)). Suppose a + 4 = t*a. Find the third derivative of 0*b**4 + b**4 - 2*b**2 + a*b**4 wrt b.
72*b
What is the derivative of 2*o**2 + 5*o**2 + 3*o**2 - 3 wrt o?
20*o
Let j = 13 - 4. What is the first derivative of 2*i - j*i**3 - i + 4 - i wrt i?
-27*i**2
Suppose -9 = -2*q - q. What is the third derivative of 4*b**3 + 2*b**q - 7*b**3 + 5*b**2 wrt b?
-6
Suppose 4*f = 2*m - 0*m + 20, -2*f + 3*m = -14. What is the first derivative of -2*r**2 + 0 - f + 2 wrt r?
-4*r
What is the third derivative of -8*z**4 + 3*z**2 + 3*z**2 + 20*z**4 wrt z?
288*z
Let s(t) be the third derivative of -17*t**6/60 - 7*t**5/60 - 2*t**3/3 + t**2 + 30*t. Find the third derivative of s(n) wrt n.
-204
Let w(m) = -5*m + 7. Let g(o) = -4*o + 6. Let y(h) = 6*g(h) - 5*w(h). What is the derivative of y(j) wrt j?
1
What is the second derivative of -15*d - 3 + 6*d**5 + 4*d + 3 wrt d?
120*d**3
Let l be 1 + -4 - 1*-9. Differentiate l - 2 - 25*x**3 + 28*x**3 with respect to x.
9*x**2
Let c(s) be the third derivative of -s**7/420 + s**4/6 + s**3/3 + 2*s**2. Let w(p) be the first derivative of c(p). Find the first derivative of w(l) wrt l.
-6*l**2
Let h = -75 - -377/5. Let f(c) be the first derivative of -1/2*c**2 + 0*c**3 + 0*c + 0*c**4 + 1 + h*c**5. What is the second derivative of f(r) wrt r?
24*r**2
Let k(d) be the third derivative of -d**8/84 + d**5/20 + 17*d**2. Find the third derivative of k(q) wrt q.
-240*q**2
Let x(b) = b**2 + 4*b. Let a(p) = -p**2 - p. Let z = 9 - 3. Let f = 4 - z. Let n(v) = f*a(v) - x(v). What is the second derivative of n(q) wrt q?
2
Let t(n) = -n**3 - 2*n**2 + 3*n - 2. Let u(w) = w**3 + w**2 + w + 1. Let k(c) = t(c) + 2*u(c). What is the second derivative of k(r) wrt r?
6*r
Differentiate 29*a - 8 + 7 + 1 - 4 wrt a.
29
Let y(z) be the third derivative of -1/12*z**4 + 0*z**3 - 2*z**2 + 0*z + 0 + 1/60*z**5. Find the second derivative of y(b) wrt b.
2
Let l = 34 + -32. Let z be (-2)/(-5)*15/3. Differentiate -3*p**l - 5*p**2 + z + 5*p**2 with respect to p.
-6*p
Let g = 22 - 15. Find the first derivative of -2*w**2 + 0 + 3 - g*w**4 + 2*w**2 wrt w.
-28*w**3
Let s be 132/8 - (-1)/(-2). Suppose -2*o - 2*o + s = 0. Differentiate -f - o*f + 4*f - 2 with respect to f.
-1
Suppose 0 = 6*f - f - 45. Find the third derivative of -5*u**2 + 6*u**5 - 2*u**5 + 2*u**5 + f*u**2 wrt u.
360*u**2
Suppose 0 = g - 2. What is the second derivative of w - 5*w**5 + 0*w**5 + g*w**5 + 4*w wrt w?
-60*w**3
Let s = -97 + 3881/40. Let l(t) be the third derivative of 0*t - s*t**6 - t**2 + 0*t**5 + 0 + 1/2*t**3 + 0*t**4. What is the derivative of l(v) wrt v?
-9*v**2
Differentiate 2 - 7*k**4 + 8 - 19 wrt k.
-28*k**3
Suppose -r + 2*r + 7 = 5*z, -5*r - 3*z = -21. Suppose -15 = -r*h - 3*y, 2*y + y = 0. Find the third derivative of q**2 - 2*q**5 + q**h - 3*q**2 wrt q.
-60*q**2
Differentiate -z**4 - z - z + 2*z - 3 with respect to z.
-4*z**3
Let o(n) = -n**2 + 6*n - 2. Let d be o(5). Suppose -d*u - 5*z = 1, 0*u + 2*u - 8 = z. Find the third derivative of -8*t**3 - t**2 - 2*t**2 + 7*t**u wrt t.
-6
Suppose 2*w - 5 - 3 = 0. Find the second derivative of -4*z + z**w + 6*z + 3*z wrt z.
12*z**2
Suppose 5*f = 2*l + 23, f = -3*l + 6*l + 2. Differentiate 6*m + 0*m + 1 - f*m wrt m.
1
Let j = -5 - -10. What is the third derivative of 3*g**j + 0*g**5 + 0*g**2 + 2*g**2 wrt g?
180*g**2
What is the third derivative of 14*g**2 + 2*g**5 + 19*g**5 + 2*g**2 wrt g?
1260*g**2
Let y = 25 + -15. What is the second derivative of y*w - 8*w**2 + 10*w**3 - 7*w**2 + 15*w**2 wrt w?
60*w
Let x(l) be the third derivative of l**8/2240 - l**6/240 + l**4/12 + l**2. Let v(g) be the second derivative of x(g). Find the second derivative of v(k) wrt k.
18*k
Find the second derivative of -54*a + 51*a + 0 + 6*a**2 + 0 wrt a.
12
Let k = 3 - 11. Let f be (-20)/(-6) - k/12. What is the third derivative of -3*y**5 - y**4 + y**f - y**5 - 3*y**2 wrt y?
-240*y**2
Find the first derivative of -6*l**2 - 2 + 165*l - 13*l**2 - 167*l + 3 wrt l.
-38*l - 2
Let h(g) be the first derivative of g**7/840 + g**6/120 + 4*g**3/3 + 1. Let y(x) be the third derivativ