t s.
524*s**3
Let b(s) be the second derivative of 3*s**3 + 3*s**3 - 4*s**3 + 7*s**2 - 66*s + 72*s. Differentiate b(k) with respect to k.
12
Let y = -18 + 33. Let c = -12 + y. What is the third derivative of c*q**2 + 2*q**3 - q**3 + 0*q**3 wrt q?
6
Suppose -2*l = -6*l. Differentiate 12 - n**2 - 3*n**2 + l*n**2 - n**2 with respect to n.
-10*n
Let q(r) be the third derivative of -r**6/120 + 3*r**5/20 - r**4/4 - r**3/2 + 18*r**2 + 2*r. What is the second derivative of q(d) wrt d?
-6*d + 18
Let f(p) be the third derivative of -p**4/12 + 7*p**3/6 - 3*p**2. Let o(y) = 1. Let g(t) = f(t) - 6*o(t). Differentiate g(s) wrt s.
-2
Let r(j) = -5*j + 6*j - 13 - 7*j - 6*j**4. Let g(a) = 7*a**4 + 5*a + 12. Let l(h) = 6*g(h) + 5*r(h). Differentiate l(w) with respect to w.
48*w**3
Let x be 6 - (76/6 - 9). Let f(a) be the first derivative of 0*a - x*a**3 - 9 + 5/2*a**2. What is the second derivative of f(w) wrt w?
-14
Let t(y) be the third derivative of 6*y**2 + 0*y**5 + 0 + 0*y**6 - 1/2*y**3 + 0*y**4 + 0*y - 1/70*y**7. What is the derivative of t(g) wrt g?
-12*g**3
Let s(d) be the second derivative of d**6/30 + 693*d**5/20 - 227*d**2/2 + 337*d. What is the first derivative of s(a) wrt a?
4*a**3 + 2079*a**2
Let x(n) = n - 1. Let j(z) = 16*z - 42. Let u(m) = j(m) - 6*x(m). Let q(h) = h + 1. Let l(a) = 5*q(a) + u(a). What is the first derivative of l(d) wrt d?
15
Let y(g) = -6*g**4 + 5*g - 16. Let x(s) = -3*s**4 + 2*s - 8. Let j be 19/(-3) - (-8)/6. Let t(m) = j*x(m) + 2*y(m). Find the first derivative of t(d) wrt d.
12*d**3
Let y(k) = -k**3 + 9*k**2 - 6*k - 10. Let v be y(8). Suppose 0*f + v = 3*f. What is the third derivative of -9*m**3 + 2*m**f + 0*m**2 - 4*m**2 wrt m?
-54
Suppose -15*f = -16*f + 5. Find the first derivative of -11 + 24 - f - v wrt v.
-1
Let n = -3 + 5. Suppose -n - 2 = -2*t. What is the third derivative of -5*z**2 + z**2 + t*z**3 - z**3 wrt z?
6
Suppose 13 = -y - 3*u, -5*u = -y + 27 - 0. What is the second derivative of -208*p**y - 191*p**2 - 27*p + 410*p**2 wrt p?
22
Let x(m) = -99*m**3 - 7*m**2 - 8*m + 6. Let u(l) = -296*l**3 - 21*l**2 - 23*l + 16. Let r(p) = 3*u(p) - 8*x(p). What is the third derivative of r(d) wrt d?
-576
Let y(l) = -20*l**2 - 11*l. Let r(j) = 4*j**2 + 10*j + 3*j**2 + 0*j**2 + 13*j**2. Let g(o) = -3*r(o) - 4*y(o). Find the second derivative of g(z) wrt z.
40
Let n(m) be the third derivative of -m**5/15 - 5*m**4/12 - 29*m**3/3 - 44*m**2. Find the first derivative of n(c) wrt c.
-8*c - 10
Let i(r) be the second derivative of -25*r**2 + 1/30*r**6 + 3/20*r**5 + 0*r**4 + 0*r**3 + 4 + 2*r. What is the derivative of i(j) wrt j?
4*j**3 + 9*j**2
Let z(o) = 180*o**2 - 26*o + 122. Let d(x) = -90*x**2 + 12*x - 61. Let k(h) = 13*d(h) + 6*z(h). Find the first derivative of k(r) wrt r.
-180*r
Let x(n) = 12 + 12 - 6 - 4 - 7*n**2. Let f(g) = -8*g**2 + 13. Let a(h) = -2*f(h) + 3*x(h). What is the first derivative of a(i) wrt i?
-10*i
Find the second derivative of 993*f**4 - f - 17*f - 994*f**4 - 2 wrt f.
-12*f**2
Let o(b) = 72*b**4 - 3*b**2 - 6*b - 88. Let y(m) = -143*m**4 + 5*m**2 + 10*m + 177. Let f(s) = 5*o(s) + 3*y(s). What is the derivative of f(g) wrt g?
-276*g**3
What is the third derivative of 255*l**4 - 520*l**4 - 11*l**2 - 7 + 263*l**4 - 33*l**3 wrt l?
-48*l - 198
Let d = -1542 + 1545. Let h(f) be the second derivative of -1/2*f**2 + 0 - 1/6*f**4 + 0*f**d + 10*f. What is the first derivative of h(a) wrt a?
-4*a
Find the second derivative of 0*h + h + 2322*h**3 + 246 - 2233*h**3 wrt h.
534*h
Let y(t) = -241*t**3 + 64*t**2 + 7*t - 7. Let a(g) = 242*g**3 - 65*g**2 - 6*g + 6. Let k(l) = -7*a(l) - 6*y(l). Find the third derivative of k(p) wrt p.
-1488
Let z(d) = 11*d**3 + 13. Let p(n) = 21*n**3 + 25. Let x = -7 - -13. Let m(j) = x*p(j) - 11*z(j). What is the derivative of m(w) wrt w?
15*w**2
Let i(s) be the second derivative of -s**8/14 + 11*s**5/20 + 3*s**4 - s**2/2 - 7*s - 7. Find the third derivative of i(j) wrt j.
-480*j**3 + 66
Let z(m) be the first derivative of m**4/2 - m**2 + 6*m + 103. Find the first derivative of z(g) wrt g.
6*g**2 - 2
Let r(q) be the first derivative of -88*q**7/7 + 5*q**3 + q + 94. Find the third derivative of r(t) wrt t.
-10560*t**3
Suppose -5*f + 22 = -2*l, 4*f - 4*l = 8*f - 12. Find the first derivative of 9*g**3 - f - 600*g**2 + 600*g**2 wrt g.
27*g**2
Find the third derivative of -9*s**2 - 47*s**3 - 2290*s**5 - 93*s**2 + 2289*s**5 + 2*s + 8*s**2 wrt s.
-60*s**2 - 282
Let h(a) be the first derivative of -a**6/20 - 10*a**3/3 - 4*a**2 + 22. Let q(d) be the second derivative of h(d). What is the first derivative of q(j) wrt j?
-18*j**2
Let u(l) = 3*l + 5. Let j(s) be the second derivative of 0 - 1/2*s**2 - 3*s + 1/6*s**3. Let m(r) = 4*j(r) - u(r). Differentiate m(p) with respect to p.
1
Let i(v) be the third derivative of -v**9/504 + 17*v**8/56 + 97*v**5/30 + 13*v**2 - 11*v. Find the third derivative of i(t) wrt t.
-120*t**3 + 6120*t**2
Let c be (-12)/16*-4 + 27. Suppose -18 = -4*r + 2*u, -u - 3 = 4*r - c. Find the third derivative of j**6 + j**2 - r*j**6 + j**6 wrt j.
-480*j**3
Let o = 54 - 49. Differentiate 15*h**4 - o - 8 + 8 with respect to h.
60*h**3
Let w(r) be the third derivative of 0*r + 0*r**5 + 8*r**2 + 0*r**6 - 11/24*r**4 + 0*r**3 + 0 - 2/105*r**7. Find the second derivative of w(z) wrt z.
-48*z**2
Let t(s) be the second derivative of 7*s**6/30 - 3*s**5/10 - 11*s**4/12 - s**2 + 69*s. What is the third derivative of t(c) wrt c?
168*c - 36
Let q(s) = s + 25. Let t be q(-11). Find the third derivative of 27*c**5 - 5*c**2 + t*c**2 + 4*c**2 wrt c.
1620*c**2
Let x(i) be the second derivative of 10/21*i**7 + 0*i**6 - 2*i**4 + 0 - 15*i + 0*i**3 + 0*i**5 + 0*i**2. Find the third derivative of x(m) wrt m.
1200*m**2
Let a(b) be the second derivative of -16*b**2 + 0 - 25*b + 3/2*b**3. Find the first derivative of a(y) wrt y.
9
Let n(z) = 2*z + 1. Let f(k) = 26*k - 52. Let q(b) = f(b) + n(b). Find the first derivative of q(a) wrt a.
28
Let d(s) be the second derivative of 83*s**3/6 + 62*s**2 + 32*s. What is the derivative of d(m) wrt m?
83
Suppose 3*c + 8 = t, -4*t + c + 12 - 2 = 0. Differentiate -1 - 10*i**2 - 9*i**t - 1 + 15*i**2 with respect to i.
-8*i
Let p(t) = 23*t**3 - 10*t**2 - 8*t + 36. Let a(q) = 11*q**3 - 4*q**2 - 4*q + 18. Let i(w) = -5*a(w) + 2*p(w). Differentiate i(f) wrt f.
-27*f**2 + 4
Let f(o) = -13*o**4 - 17. Let j = 31 - 35. Let l(y) = -y**4. Let b(x) = j*l(x) + f(x). Differentiate b(i) with respect to i.
-36*i**3
Let y = -1605 - -1610. Let h(w) be the third derivative of -2/15*w**y + 0 + 0*w**3 - 7/24*w**4 - 4*w**2 + 0*w. What is the second derivative of h(q) wrt q?
-16
Let h(u) be the second derivative of -89*u**5/20 - 29*u**3/6 + 90*u. What is the second derivative of h(a) wrt a?
-534*a
Let s(w) be the first derivative of -w**4/4 + 23*w**2/2 + 80*w + 51. What is the derivative of s(q) wrt q?
-3*q**2 + 23
Let k(f) be the first derivative of -13/2*f**2 + 11 - 10/3*f**3 + 0*f. Find the second derivative of k(u) wrt u.
-20
Let l(g) = -4 + 5*g**2 - 4*g**2 - 5*g + g**3 + g**2. Let h be l(-3). What is the third derivative of -13 + 6*o**h + 3*o**3 - 2*o**2 + 13 wrt o?
18
Let q = -220 + 222. Let x(n) be the third derivative of -3*n**q + 1/60*n**6 + 0 + 1/2*n**3 + 0*n**5 + 0*n + 0*n**4. What is the first derivative of x(u) wrt u?
6*u**2
Let q(h) be the second derivative of 0*h**3 + 0*h**2 - 5/4*h**4 + 0 + 3*h + 0*h**5 - 2/5*h**6. What is the third derivative of q(t) wrt t?
-288*t
Let n(p) be the third derivative of -9*p**6/2 - 19*p**5/5 - 211*p**2. Find the third derivative of n(v) wrt v.
-3240
Suppose 2291 + 3099 = 2*v. Find the third derivative of 2*y**5 + v*y**2 - 2706*y**2 + 30*y**5 wrt y.
1920*y**2
Let z = -35 - -38. Find the first derivative of -5 + 4 + z - 43*v + 5 wrt v.
-43
Let l(x) be the first derivative of x**10/5040 + x**6/90 - 8*x**3/3 + 9. Let w(z) be the third derivative of l(z). Find the third derivative of w(o) wrt o.
120*o**3
Let l(o) be the third derivative of 0*o**5 + 0*o - 15*o**2 + 0*o**4 + 0 + 16/3*o**3 - 23/120*o**6. Differentiate l(v) with respect to v.
-69*v**2
Let x(v) = -115*v**3 - 2*v**2 + 98*v + 3. Let a(r) = -114*r**3 - 3*r**2 + 99*r + 5. Let m(b) = -2*a(b) + 3*x(b). What is the second derivative of m(o) wrt o?
-702*o
Let p(x) be the third derivative of 0*x +