 z(x) = -x**5 + x**3 - x**2 + 1. Let c(k) = -g(k) + 2*z(k). What is the third derivative of c(v) wrt v?
-120*v**2 - 1200*v
Let f(x) = 63*x**2 + 8*x - 1. Let d be f(11). Find the second derivative of -15*a**3 - 2*a + 7710 - d wrt a.
-90*a
Let b(h) = -h**5 - 2*h**3 + h**2 - 1. Let n(x) = -376*x**5 - 10*x**3 + 5*x**2 - 6*x + 4. Let p(d) = 5*b(d) - n(d). What is the second derivative of p(g) wrt g?
7420*g**3
Find the third derivative of -59*y**3 + 30*y**2 + 109*y**2 + 14*y - 15*y**2 - 14*y + 2*y**4 wrt y.
48*y - 354
Let z(f) = 356*f + 1678. Let i(r) = 118*r + 560. Let x(j) = -10*i(j) + 3*z(j). Find the first derivative of x(s) wrt s.
-112
Let f be (2 - (11 + 1))*6/(-15). Find the second derivative of 805*s**f + 3*s - 17*s - 816*s**4 wrt s.
-132*s**2
Let q(a) = -167*a**3 - 29*a**2 - 34*a + 67. Let i(s) = -56*s**3 - 10*s**2 - 12*s + 22. Let d(z) = 11*i(z) - 4*q(z). Find the second derivative of d(j) wrt j.
312*j + 12
Let l(h) be the second derivative of -16*h**7/21 - h**6/30 - 5*h**4/3 - h**2 + 78*h. Find the third derivative of l(c) wrt c.
-1920*c**2 - 24*c
Let s(w) be the second derivative of w**9/1260 + w**7/280 + 5*w**4/4 - 5*w. Let a(h) be the third derivative of s(h). Find the third derivative of a(y) wrt y.
288*y
Find the second derivative of 2417*h**2 + 36*h - 7*h**5 - 2417*h**2 wrt h.
-140*h**3
Let c(l) = -l. Let n(m) = 2*m**3 + 5*m - 1. Let d = 22 - 23. Let b(x) = d*n(x) - 5*c(x). Differentiate b(q) wrt q.
-6*q**2
What is the second derivative of 262*t**4 - 34*t - 446*t**4 - 188*t**4 wrt t?
-4464*t**2
Find the second derivative of -307 - 306 + 24*d**4 - 184*d + 613 wrt d.
288*d**2
Let a(x) be the first derivative of 115*x**4/2 - 780*x - 130. Differentiate a(u) wrt u.
690*u**2
Let f be 54/(-1*(-3)/75). Find the second derivative of -x**4 + f + 9*x - 1350 wrt x.
-12*x**2
Let t(y) be the first derivative of 41*y**5/5 + y**4/4 + 5*y**3/3 + 82. What is the third derivative of t(i) wrt i?
984*i + 6
Let a be ((-8)/6)/((-1)/6). Find the second derivative of 2*s - a*s - s**3 + 2*s**3 wrt s.
6*s
Suppose 3*n = 30 - 21. What is the second derivative of -15*c + 10*c**n + 3*c**3 + 2*c**3 wrt c?
90*c
Suppose -b = -5*m - 31, -4*b - b - 5*m = -95. Find the second derivative of -d + 19*d**4 - 10*d - 19*d**4 + b*d**5 wrt d.
420*d**3
Let p = 15 - 37. Let q = p - -25. What is the second derivative of -a**4 - 2*a + 6*a - 5*a**4 + q*a wrt a?
-72*a**2
Suppose 2*g = -2*g - 24. Let j be (-33)/(-22)*(-20)/g. What is the third derivative of 271*y - 8*y**2 - 9*y**j - 271*y wrt y?
-540*y**2
Let n(y) = y**3 + 21*y**2 + 37*y - 16. Let f be n(-19). Find the second derivative of -15*u**2 + f*u + 7*u - 21*u - 18*u wrt u.
-30
Let j = -4 + 5. Let a be -6*j/(-3)*1. Find the first derivative of -a*r**3 + 0*r**3 + 6 + r**3 wrt r.
-3*r**2
Let y(f) = 16*f**3 + 3*f + 14. Let l(q) = -16*q**3 - 5*q - 14. Let k(d) = 2*l(d) + 3*y(d). Find the second derivative of k(r) wrt r.
96*r
Differentiate -1167*f**2 + 1167*f**2 - 3*f**3 - 101 - 11*f wrt f.
-9*f**2 - 11
Let d(j) be the third derivative of 0*j**5 + 6*j**2 - 5/3*j**4 - 31/210*j**7 + 0*j + 0*j**6 - 4 + 0*j**3. What is the second derivative of d(x) wrt x?
-372*x**2
Let g(i) = -i**2 + i. Let k(o) = -o**4 + 4*o**3 - 3*o**2 + 3*o - 7. Let u = 20 - 19. Let t(f) = u*k(f) - 3*g(f). Differentiate t(x) with respect to x.
-4*x**3 + 12*x**2
Let q(l) be the third derivative of 29*l**9/56 - 11*l**5/60 + l**4/6 - 4*l**2 + 38*l. Find the third derivative of q(k) wrt k.
31320*k**3
Suppose 0*v + 2*v + 10 = 0, -3*v - 9 = f. Suppose -f*d + 15 = -d. Find the second derivative of 4*m + 6*m**d + 3*m**3 + 0*m**3 - 4*m**3 wrt m.
30*m
Let q(p) be the second derivative of -137*p**6/30 - 11*p**3/6 - 2*p + 2. Find the second derivative of q(g) wrt g.
-1644*g**2
Let m be 1/4 - 43/(-4). Suppose m*d + 52 = 13*d. What is the second derivative of 7*u + d*u**4 - u - 30*u**4 wrt u?
-48*u**2
Let n(k) be the first derivative of -40*k**7 - 244*k**3/3 + 210. What is the third derivative of n(x) wrt x?
-33600*x**3
Let u(b) be the third derivative of -1/24*b**4 - 1/105*b**7 + 0 + 3*b + 0*b**5 + 1/15*b**6 - 13/2*b**3 - 2*b**2. What is the second derivative of u(f) wrt f?
-24*f**2 + 48*f
Let s(n) be the second derivative of n**9/15120 - n**5/15 + n**4 + 12*n. Let h(b) be the third derivative of s(b). Differentiate h(x) with respect to x.
4*x**3
Let b = -19 + 25. Find the third derivative of -6*h**2 - h**2 + b*h**4 - 2*h**2 + 0*h**4 wrt h.
144*h
Let i be 2*(4 + -6) + 54. Find the second derivative of -i*p**2 - 4*p - 10*p - 16 + 16 wrt p.
-100
Let q = 5 + -3. Let r = 10 - 8. What is the derivative of 2*k**q + k**r - 3*k**2 - 4*k**2 - 4 wrt k?
-8*k
Let x(j) be the second derivative of 12*j**3 + 4*j**2 - 86*j + 1. Find the first derivative of x(w) wrt w.
72
Let c be 0*2/8 - 2*-5. Differentiate -c + 0*x**2 + 0*x**2 - 22*x**4 + 0 with respect to x.
-88*x**3
Let z be 2*(-156)/8*(-4)/6. Find the first derivative of 29 + 23*j - 10 + 19*j - z*j wrt j.
16
Let c be ((5 - 5)/6)/(3/1). Let g(o) be the first derivative of 5 + c*o + o**6 + 0*o**2 - 4/3*o**3 + 0*o**5 + 0*o**4. Find the third derivative of g(b) wrt b.
360*b**2
Let b(d) be the second derivative of -d**7/60 + d**5/8 + d**3/2 + 17*d. Let z(g) be the second derivative of b(g). Find the second derivative of z(c) wrt c.
-84*c
Let l be 3/2 + 4/8. Suppose -2 + 6 = l*k. What is the third derivative of 3*c**k - 3*c**3 - 4*c**2 - 11*c**2 wrt c?
-18
Suppose 13*z - 184 = -145. Let y(g) be the first derivative of -4 + 3*g - 7/5*g**5 + 0*g**2 + 0*g**4 + 0*g**z. What is the derivative of y(j) wrt j?
-28*j**3
Let b(l) = -l**3 + 3*l**2 + 5*l - 1. Let j be b(4). Differentiate 11 + 50*r**2 - 14*r**j - 50*r**2 wrt r.
-42*r**2
Let a(d) be the third derivative of 907*d**6/120 + 13*d**5/60 - 1013*d**2. What is the third derivative of a(x) wrt x?
5442
Let w(z) be the first derivative of -22*z**6/3 - 5*z**2/2 - 78. What is the second derivative of w(m) wrt m?
-880*m**3
Let q(a) = a**2 + a. Let m be q(-2). Suppose m*p + 0*p - 6 = -4*n, -5*n = -5*p - 15. Find the first derivative of 8*z**2 + 3 - 5*z**n - 4 + 3 wrt z.
6*z
Let r(k) = 18*k**3 - 24*k**2 + 5*k - 12. Let b(i) = 34*i**3 - 49*i**2 + 10*i - 26. Let f(c) = -6*b(c) + 13*r(c). Find the third derivative of f(p) wrt p.
180
Let l(j) be the third derivative of j**7/42 - j**6/15 + j**5/20 + 5*j**4/8 + 120*j**2. What is the third derivative of l(h) wrt h?
120*h - 48
Let v(f) be the first derivative of 0*f + 5/2*f**2 + 0*f**4 + 0*f**3 - 14/3*f**6 - 8 + 0*f**5. What is the second derivative of v(y) wrt y?
-560*y**3
Let j(h) = 2*h**2 - h. Let b(k) = -19*k**2 + k - 126. Let s(y) = b(y) + j(y). Find the first derivative of s(q) wrt q.
-34*q
Let r(w) be the first derivative of w**6/120 - 11*w**5/60 + 3*w**2/2 - 9. Let b(k) be the second derivative of r(k). What is the third derivative of b(t) wrt t?
6
Let x(i) be the second derivative of -1/4*i**4 + 0*i**3 - 13/21*i**7 + 0*i**5 + 0*i**6 + 15*i + 0 + 0*i**2. What is the third derivative of x(a) wrt a?
-1560*a**2
Let p(r) = 15*r + 7*r + 0*r + 37*r**2 + 4*r + 1. Let u(z) = z**2 + z. Let b(t) = p(t) + 3*u(t). Find the second derivative of b(i) wrt i.
80
Suppose -27 + 3 = -3*h. What is the third derivative of h*s**4 + 17*s**2 - 12*s**2 - 11*s**2 wrt s?
192*s
Let z(k) = k + 19. Let x(m) = -m - 9. Let p(b) = -5*x(b) - 3*z(b). Let j be p(7). What is the second derivative of -6*l + 0*l - j*l - l + 7*l**2 wrt l?
14
Let g(u) be the second derivative of u**7/84 - u**6/18 + 5*u**3/2 - 2*u. Let f(d) be the second derivative of g(d). What is the third derivative of f(k) wrt k?
60
Let h(g) be the first derivative of -4*g**4 - 4*g**3 - 3*g + 44. Find the third derivative of h(w) wrt w.
-96
Find the first derivative of 21*c**2 + c + 87 + 27*c**2 + 11*c**2 + 107 wrt c.
118*c + 1
Let g(i) be the second derivative of i**8/28 - 13*i**6/30 + 3*i**4/4 - 3*i**2 - 216*i. What is the third derivative of g(k) wrt k?
240*k**3 - 312*k
Let y be (-27)/(-15)*(5 + 0). Find the first derivative of -y*j - 16*j - 7 + 3*j + 5 wrt j.
-22
What is the third derivative of 7 + 102*c**6 + 37*c**2 + 3*c**3 - 21*c**2 - 15*c**2 - 7 + 8*c wrt c?
12240*c**3 + 18
Let b(u) = -82*u**2 - 4*u - 43. Let h(f) = -55*f**2 - 3*f - 28. Let l(i) = -5*b(i) + 7*h(i). Differentiate l(c) wrt c.
50*c - 1
Suppose -2 = 2*o 