- 3*y. Let i(z) = q*a(z) + 3*p(z). What is the third derivative of i(g) wrt g?
-138
Let i(d) be the third derivative of 0*d + 0*d**3 + 0 + 0*d**4 + 7/30*d**5 - 11*d**2 + 0*d**6 - 11/105*d**7. Find the third derivative of i(z) wrt z.
-528*z
Let c(x) be the second derivative of x**3/6 + 7*x**2/2 - 5*x. Let f be c(-5). Differentiate 2*b + f + 10*b - 1 - 2 with respect to b.
12
Let p be (-6)/4 - (-105)/6. Suppose p = 4*v - 0. What is the second derivative of 0*o**5 - 6*o + v*o**5 + o + o**5 wrt o?
100*o**3
Find the third derivative of -9196*j**4 - j**2 - 5*j**2 - 3*j**6 - 44 + 9189*j**4 + 10*j**6 + 1 wrt j.
840*j**3 - 168*j
Let u be (-2)/(-6) + 69/9. Let x = 37 - 35. What is the second derivative of -k**x + 11*k**2 + u*k + k - k**2 wrt k?
18
Let t be 114/8 + (-3)/(-4). Let z = 19 - t. What is the second derivative of -6*o - z*o**4 + 2*o + 5*o**4 wrt o?
12*o**2
Find the third derivative of 196*b**3 - 15*b + 16*b + 5*b + 15*b**2 wrt b.
1176
Let g be (-1 + 5)/(0 - -2). Suppose g*i + 3*i = 10. What is the second derivative of x**4 - 6*x + 0*x + i*x + 9*x**4 wrt x?
120*x**2
What is the second derivative of -162*b - 249*b + 61*b + 531*b**2 wrt b?
1062
Let r(s) = -575*s**4 - 7*s**2 - 14*s - 339. Let t(l) = -287*l**4 - 4*l**2 - 8*l - 169. Let j(g) = -4*r(g) + 7*t(g). Find the first derivative of j(a) wrt a.
1164*a**3
Let i(f) = 3*f**4 - 7*f**2 - 2. Let w(h) = 0*h**4 + 11 + 13*h**2 - 7 - 7*h**4 + 1. Let c(z) = 5*i(z) + 2*w(z). Find the third derivative of c(m) wrt m.
24*m
Let n be (-6)/4 + (-17)/(-2). Suppose f + 4 - n = 0. What is the second derivative of -203 + 9*l + f*l**2 - l**2 + 203 wrt l?
4
Let m(j) = -7*j - 17. Let o be m(-7). What is the second derivative of -63 + 63 + o*k**4 + 46*k wrt k?
384*k**2
Let c(g) = 0 + 11 - 6. Let t(u) = u - 11. Let v(s) = 5*c(s) + 3*t(s). What is the derivative of v(h) wrt h?
3
Let o(n) = 41*n**4 + 2*n**2 + 7*n - 13. Let k(f) = -81*f**4 - 5*f**2 - 16*f + 27. Let d(x) = -2*k(x) - 5*o(x). What is the second derivative of d(g) wrt g?
-516*g**2
Let d(f) be the first derivative of -24*f**5/5 + 107*f**3/3 - 115. Find the third derivative of d(g) wrt g.
-576*g
Let t(d) = -432*d - 207. Let z(g) = 108*g + 52. Let l(h) = 5*t(h) + 21*z(h). Differentiate l(b) with respect to b.
108
Suppose -8 = -w - 4*q, w = -2*w + 5*q + 7. What is the second derivative of 31*s - 22*s - 2*s**2 - 13*s + w*s**2 wrt s?
4
Let u = 21 - 17. Differentiate -18 - 4 + 7*m - u wrt m.
7
Let o(b) = 547*b**3 + 9*b**2 + 3*b. Let f(w) = 182*w**3 + 3*w**2 + w. Let y(l) = 7*f(l) - 2*o(l). Find the third derivative of y(i) wrt i.
1080
Let r(m) = 12*m - 12. Let k(i) = 60*i - 61. Let b be (1/(-2))/(3/66). Let y(g) = b*r(g) + 2*k(g). Differentiate y(z) wrt z.
-12
Let t(q) = q**3 + 4*q**2 + q. Let y = -13 + 10. Let l be t(y). What is the third derivative of -13*c**3 - 4*c**2 - 4*c**2 + l*c**3 wrt c?
-42
Let f(d) = 33*d**3 + 3*d - 229. Let l(u) = -67*u**3 - 5*u + 459. Let z(m) = -5*f(m) - 2*l(m). What is the first derivative of z(p) wrt p?
-93*p**2 - 5
Let c = -4 + 6. Suppose c*q - 5*a = -3*a - 6, -10 = 5*q - 4*a. Find the third derivative of -2*d**5 - 5*d**5 + 0*d**q + 5*d**2 wrt d.
-420*d**2
Let j(d) = -d + 2*d - 2*d + 11. Let p be j(5). What is the third derivative of 5*o**p - 5*o**2 + 3*o**6 - 2*o**6 wrt o?
720*o**3
Let u(y) = 22*y**2 - 84*y + 2. Let i(p) = 45*p**2 - 167*p + 5. Let v(j) = 2*i(j) - 5*u(j). Find the second derivative of v(d) wrt d.
-40
Differentiate 9*p + 12*p - 288*p - 57*p - 1 - 18*p wrt p.
-342
Let v(a) be the first derivative of 3*a**5/20 - 13*a**3/3 + 33*a + 13. Let c(n) be the first derivative of v(n). What is the second derivative of c(i) wrt i?
18*i
Let i(l) = 1060*l + 949. Let s(c) = -1590*c - 1420. Let y(a) = -8*i(a) - 5*s(a). Find the first derivative of y(b) wrt b.
-530
Find the third derivative of 13*p**2 + 10*p**2 + 9*p**2 - 33*p**2 + 74*p**3 + 23*p wrt p.
444
Let r be (10/(-10))/((-2)/4). Suppose 4*b - r = 6. Find the first derivative of -27*y**b + 4*y - 1 + 29*y**2 - 4*y wrt y.
4*y
Let g(y) = y - 11. Let h be g(15). What is the third derivative of -5*o**2 - 6*o**2 - h*o**6 - 5*o**6 wrt o?
-1080*o**3
Let r(z) be the third derivative of -59*z**9/252 + z**5/12 + 3*z**4/2 - 652*z**2. What is the third derivative of r(s) wrt s?
-14160*s**3
Let m(n) = -n**2 + 7*n - 8. Let t be m(5). What is the second derivative of 10*o**2 - 16*o**t + 15*o**2 - 3*o + 2*o wrt o?
18
What is the third derivative of -10*a**5 + 3*a**2 + 13*a**5 + 4*a**6 - 16 + 2*a**2 - 3*a**2 wrt a?
480*a**3 + 180*a**2
Let p(y) be the first derivative of -5*y**4 + 29/3*y**3 + 30 + 0*y + 0*y**2. Find the third derivative of p(f) wrt f.
-120
Suppose -3*v - 19 = 8. Let t(x) = -25*x - 50. Let u(q) = -12*q - 25. Let w(o) = v*u(o) + 4*t(o). What is the first derivative of w(p) wrt p?
8
Suppose 6 = 3*a - 3*n, 21*n = -3*a + 16*n + 30. Let w(s) be the first derivative of 0*s**2 + a - 5/3*s**3 + 4*s. Differentiate w(d) with respect to d.
-10*d
Let p(g) = 209*g**3 + 209*g**2. Let s(f) = 314*f**3 + 314*f**2. Let z(i) = 7*p(i) - 5*s(i). What is the third derivative of z(u) wrt u?
-642
Let w(t) = -2*t**4 + 81*t**3 - 6*t**2 - 471*t - 6. Let c(l) = 2*l**3 - l**2 + 2*l - 1. Let k(a) = 6*c(a) - w(a). Find the second derivative of k(o) wrt o.
24*o**2 - 414*o
Let o be (45/(-30))/(3/(-8)). Find the third derivative of 46*t**4 - 11*t**2 - 9*t**5 - 46*t**o wrt t.
-540*t**2
Let s(j) = 30*j - 42*j**4 + 8*j**4 + 5 + 24*j - 4*j**4. Let w(r) = 19*r**4 - 27*r - 3. Let q(h) = 3*s(h) + 5*w(h). What is the second derivative of q(x) wrt x?
-228*x**2
Find the second derivative of -34*l**5 - 36*l**5 - 41*l**5 + 155*l**5 - 41*l**5 + 135*l**4 - 585*l wrt l.
60*l**3 + 1620*l**2
Let v(q) be the third derivative of -1/10*q**5 + 0 + 0*q**6 + 0*q + 0*q**4 + 16*q**2 + 0*q**3 - 23/336*q**8 + 0*q**7. Find the third derivative of v(l) wrt l.
-1380*l**2
Let d(j) = 5*j**3 + 2*j**2 - 27*j - 156. Let b(k) = -k**2 - k - 1. Let n(t) = -2*b(t) - d(t). Differentiate n(s) wrt s.
-15*s**2 + 29
Let k(g) be the third derivative of g**6/12 + g**5/10 + 4*g**4 + 33*g**2 - 1. What is the second derivative of k(u) wrt u?
60*u + 12
Let l(y) = 1. Let a(o) = -20*o + 129. Let w(x) = a(x) + 2*l(x). What is the first derivative of w(s) wrt s?
-20
Let o(p) be the second derivative of -170*p**3/3 - 409*p**2/2 - 104*p - 1. What is the derivative of o(s) wrt s?
-340
Suppose i - 9 = -2*l, 0*i + i - 3 = 0. Suppose 24*f = 15*f. Find the second derivative of -l*r - r**2 + f*r - 6*r wrt r.
-2
Find the third derivative of 700*m**6 + 412 - 387*m**2 - 412 wrt m.
84000*m**3
Let n(c) = c**3 + 27*c**2 + 21*c + 32. Let t be n(-25). What is the third derivative of r**5 - 757*r**3 - 26*r**5 + t*r**3 + 33*r**2 wrt r?
-1500*r**2
Let n be 13/5 - (-20)/50. Suppose n*a = -3, 0*s + 2*s - 4*a = 16. What is the third derivative of -2*b**s + 54 - 54 + 9*b**6 - 4*b**2 wrt b?
840*b**3
Let l = 1899 - 1899. Let o(q) be the third derivative of 2*q**2 + l*q + 0*q**3 - 1/2*q**4 + 7/30*q**5 + 0. What is the second derivative of o(c) wrt c?
28
Let t(u) be the third derivative of -7*u**5/12 + 67*u**3/3 - 27*u**2. Differentiate t(w) wrt w.
-70*w
Let g(d) be the third derivative of 18*d**5/5 - 53*d**4/12 + 151*d**2. Find the second derivative of g(o) wrt o.
432
Let n(l) be the second derivative of -l**6/15 + l**5/2 - l**4 + 17*l. What is the third derivative of n(r) wrt r?
-48*r + 60
Let x(b) be the first derivative of -1011*b**5/5 + 7*b**2/2 - 23*b + 63. Find the second derivative of x(k) wrt k.
-12132*k**2
Let t be (-32)/48*222/(-4). Find the second derivative of m**2 + t*m + m**2 - 28*m - 3*m**2 wrt m.
-2
Let j(z) = 5*z - 1. Let x be j(2). Let w = -9 + x. Differentiate -r + 6*r + w*r + 6 wrt r.
5
Let w(k) = -76*k**4 + 3*k**2 - 2*k - 67. Let l(d) = -228*d**4 + 11*d**2 - 7*d - 201. Let n(m) = 2*l(m) - 7*w(m). Find the third derivative of n(u) wrt u.
1824*u
Let s(k) = -k**3 + 2*k**2 + 2*k - 3. Let b be s(4). Let o = b + 31. Find the first derivative of 0*j - 14 + o + 10*j**2 + 0*j wrt j.
20*j
Let a(g) be the first derivative of -g**4 + g**4 - g**4 + 2. Let o(u) = 17*u**3 + u**2. Let l(b) = -18*a(b) - 4*o(b). Find the third derivative of l(f) wrt f.
24
Let f be -22*(-3)/12 + (-99)/66. Let c(l) be the third derivative of 5/3*l**3 + 0*l + 1/4*l**f + 7*l**2 + 0. What is the derivative 