pose 3*g = 8*g - 10. Suppose 5*i + 15 = 0, 0 = -y + g*y - i - 8. What is the third derivative of -7*r**2 - 12*r**2 + 16*r**2 + 23*r**y wrt r?
1380*r**2
Suppose -65 = -8*f - 5*f. Find the first derivative of -7*n - f*n + 53 - 94 wrt n.
-12
Suppose 3 + 11 = -7*b. Let k be (2 - 0)*(3 + (b - -1)). Find the second derivative of -10*t**k + 6*t**4 - 23*t - 6*t**4 wrt t.
-120*t**2
Let q(x) be the third derivative of 103*x**9/14 + x**7/105 - x**6/60 - 77*x**5/10 - 5*x**4/12 - 253*x**2 + x + 12. What is the third derivative of q(c) wrt c?
444960*c**3 + 48*c - 12
What is the third derivative of -410*s - 882*s**3 - 493*s**2 + 413*s + 280*s**3 - 1271*s**3 wrt s?
-11238
Let g(v) be the first derivative of 41*v**5/10 - v**3/6 - 70*v**2 + 272*v - 96. Let w(q) be the first derivative of g(q). Differentiate w(i) with respect to i.
246*i**2 - 1
Let p(s) = s**3 - s**2. Let q = 199 + -194. Let g(o) = 12*o**4 - 5*o**3 + 5*o**2 + 20*o. Let z(t) = q*p(t) + g(t). Find the second derivative of z(f) wrt f.
144*f**2
Let m(u) be the third derivative of -1 - 1/10*u**5 + 0*u + 6*u**2 - 31/2*u**3 - 1/3*u**4. Differentiate m(a) wrt a.
-12*a - 8
Let f(m) be the third derivative of -5/12*m**4 + 0 + 0*m**6 + 3/20*m**5 + 0*m + 1/210*m**7 + 0*m**3 - 50*m**2. Find the second derivative of f(a) wrt a.
12*a**2 + 18
What is the third derivative of -2272*m**2 - 566*m**6 + 516*m**6 - 1 + 1 - 1711*m**6 wrt m?
-211320*m**3
What is the second derivative of -40 - 25 + 35 + 249*x**4 - 3*x - 31 wrt x?
2988*x**2
Let m(v) be the third derivative of v**7/105 - 263*v**6/120 - 107*v**5/60 + v**3 - 1910*v**2. What is the third derivative of m(b) wrt b?
48*b - 1578
Let h(m) be the third derivative of m**6/12 + 14*m**5/15 + 121*m**4/3 - 147*m**2. What is the second derivative of h(u) wrt u?
60*u + 112
Let d = -550 - -551. Let q(a) = -a - 49. Let p(t) = t**2 - 1. Let b(u) = d*q(u) + 3*p(u). Differentiate b(o) wrt o.
6*o - 1
Let b(l) be the first derivative of 0*l**4 + 43 + 2/3*l**6 - 3*l + 0*l**5 - 5*l**2 + 0*l**3. What is the second derivative of b(z) wrt z?
80*z**3
Let d(k) be the first derivative of -3*k**4/4 - 73*k**2/2 - 239*k - 469. Find the first derivative of d(c) wrt c.
-9*c**2 - 73
Let f be (-4)/(-4) + 4/2. Suppose -45 = -f*x - 2*a + a, -3*a = 9. What is the third derivative of 9*b**2 - x*b**3 - 5*b**2 - b**2 - 4*b**2 wrt b?
-96
Let d(y) be the second derivative of 2*y**5/15 - 5*y**4/24 + 15*y**3/2 + 21*y. Let h(x) be the second derivative of d(x). What is the derivative of h(f) wrt f?
16
Let c(d) be the second derivative of 535*d**4/2 + 80*d**3/3 - d**2 - 2147*d. What is the second derivative of c(q) wrt q?
6420
Let m(r) be the third derivative of -2*r**2 + 0 - 37/24*r**4 - 1/30*r**5 + 0*r + 59/6*r**3. Differentiate m(p) wrt p.
-4*p - 37
Suppose 0 = -5*b - 30 + 50. What is the derivative of 5*h**b - 145*h**2 + 63 - 147*h**2 + 286*h**2 wrt h?
20*h**3 - 12*h
Let r(i) be the first derivative of -7587*i**4/4 - 5487*i + 1773. What is the first derivative of r(v) wrt v?
-22761*v**2
Let j(n) be the first derivative of 463*n**4/4 + n**3/3 - 268*n + 350. Find the third derivative of j(b) wrt b.
2778
Suppose -5*p + 2*r + 18 = 5, r = 1. Suppose 5*a - 7 = -2*f - 19, 5*a + 32 = 3*f. What is the derivative of 8*w**p + f*w**3 - 14 + 1 wrt w?
36*w**2
Suppose 5*l - 464 = 2*s, 34*l + 3*s = 30*l + 362. Find the third derivative of -2*g**4 - 13*g - 3*g**4 + 3*g**4 + l*g + 2*g**3 + 2*g**2 wrt g.
-48*g + 12
Let k be -3*(-2)/(-5)*-5. Let p be (6 + -14)*(-1)/4. Find the third derivative of 23*j**p - k*j**3 + 4*j**2 - j**3 + 7*j**2 wrt j.
-42
Let p(y) be the second derivative of 2*y**7/21 - y**6/15 + 13*y**5/20 + y**4/12 + 2*y**3/3 + 188*y**2 - 4*y - 521. Find the third derivative of p(v) wrt v.
240*v**2 - 48*v + 78
Find the third derivative of 8027*i**4 + 26*i**2 - 489*i**6 + 1 - 8029*i**4 + 0 + 6*i - 2*i**5 wrt i.
-58680*i**3 - 120*i**2 - 48*i
Let o(m) = m**3 - 6*m**2 - 7*m + 6. Let n be (2/1)/((-18)/(-63)). Let w be o(n). Find the third derivative of 14*t**6 + 8*t**2 - 9*t**6 - 12*t**w wrt t.
-840*t**3
What is the third derivative of 654*u**2 - 850*u + 771*u**5 + 847*u - 4973*u**5 wrt u?
-252120*u**2
Let c(p) = 22*p**3 + p**2 - 3*p - 15. Let j(h) = -2*h**3 - h. Suppose -9 = 16*n + 7. Let d(a) = n*c(a) + 3*j(a). What is the third derivative of d(b) wrt b?
-168
Let z(w) be the second derivative of 0*w**4 + 0 - 5/3*w**3 + 1/30*w**5 + 1/2*w**2 + 11*w. Let i(q) be the first derivative of z(q). Differentiate i(v) wrt v.
4*v
Find the second derivative of 13698*q**3 + 67*q - 7892*q**3 - 7076*q**3 - 12 wrt q.
-7620*q
Let q(k) = 2899*k**2 + 11311*k + 12. Let t(d) = -14501*d**2 - 56556*d - 66. Let c(z) = 11*q(z) + 2*t(z). Find the second derivative of c(w) wrt w.
5774
Let l = 0 + 4. Let x = 221 - 171. Find the second derivative of -50 + 8*w - 13*w**l + x wrt w.
-156*w**2
Let o(v) be the third derivative of 349*v**6/60 - v**5/15 - 1108*v**3/3 + 5*v**2 - 838*v. Find the first derivative of o(w) wrt w.
2094*w**2 - 8*w
Let z = 35 + -31. Differentiate 31*t**4 + 37 - 15*t**4 + 43*t**z wrt t.
236*t**3
Let x(t) be the third derivative of 449*t**7/210 - t**5/30 + t**4/24 - 451*t**3/3 - 265*t**2 - 2*t - 2. What is the derivative of x(b) wrt b?
1796*b**3 - 4*b + 1
Let k(i) = -2*i + 25. Let w be k(11). Find the third derivative of -11*t**w - 1 + 7*t**3 + t**2 + 19*t**3 + 24*t**3 wrt t.
234
Let s(w) be the first derivative of 247 - 3/2*w**2 + 14*w + 21*w**3. What is the second derivative of s(g) wrt g?
126
Let u(k) be the third derivative of 13/24*k**6 + 0*k + 23*k**2 + 0*k**5 + 0*k**3 + 0 - 35/24*k**4. Find the second derivative of u(w) wrt w.
390*w
Let a(o) = -o**3 + 25*o**2 - 30*o - 10. Let i be a(24). Let u = 155 + i. Find the second derivative of 43*h**2 - 1 - 40*h + u - 8*h wrt h.
86
Let b(k) = 792*k + 3001. Let p(n) = -393*n - 1500. Let o(j) = 2*b(j) + 5*p(j). What is the first derivative of o(v) wrt v?
-381
Suppose -6*a + 3*a + 39 = 0. Let z(g) be the first derivative of 0*g + 33 + 29*g + 13*g - a*g**2 + 1. What is the first derivative of z(p) wrt p?
-26
Let b(z) = z**3 + 21*z**2 - 27*z - 60. Let g be b(-22). Differentiate -34 + 43*x - 44 - g with respect to x.
43
Let m(p) = p**2 - 20*p + 12. Let k be m(20). Suppose -16 - k = -2*f. What is the second derivative of -i - 20*i - f*i**2 - 4*i wrt i?
-28
Suppose 58 = 2*l - 4*p, 34 = 2*l + 4*p - 56. Let m be (-2)/(-3) + l/3. What is the third derivative of -m*q**2 - 10*q**3 - 13*q**2 - 5*q**2 - 12*q**3 wrt q?
-132
Let w be (-60)/50*7*(-35720)/6. Find the first derivative of 49878 - k**2 - 4*k - w + 3*k**2 wrt k.
4*k - 4
Let c(d) = -15*d**2 - 2*d - 1. Let l(h) = 1122*h**2 - 44*h + 3916. Let a(x) = 22*c(x) - l(x). Find the first derivative of a(g) wrt g.
-2904*g
Let t = 150 + -234. Let y = t + 86. Find the third derivative of -2*b**y - 11*b - 27*b**5 + 11*b - 7*b**2 wrt b.
-1620*b**2
Find the third derivative of 415*m**3 - 1099*m - 1 + 1 - 3*m**2 + m**2 + 2031*m**3 wrt m.
14676
Let m(y) be the third derivative of -1/24*y**6 - 8/3*y**3 + 0*y**5 - 10*y + 1/70*y**7 + 0 + 1/12*y**4 + 6*y**2. What is the second derivative of m(j) wrt j?
36*j**2 - 30*j
Let p(u) be the third derivative of -1/30*u**6 - 2*u + 0 - 23/2*u**3 + 0*u**4 - 1/60*u**5 + 4*u**2. Differentiate p(b) wrt b.
-12*b**2 - 2*b
Let u(c) = 4265*c**3 - 1191*c**2 + 26*c + 15. Let z(o) = -1066*o**3 + 298*o**2 - 7*o - 4. Let p(t) = -4*u(t) - 15*z(t). Find the third derivative of p(b) wrt b.
-6420
Let a(u) = 13*u**2 + 235*u. Let g(b) = -6*b**2 - 115*b. Suppose 15*m = 9*m - 30. Let c(q) = m*g(q) - 3*a(q). Find the second derivative of c(s) wrt s.
-18
What is the third derivative of 98*z**4 + 651 + 808*z**4 + 996*z**2 - 309 - 342 wrt z?
21744*z
Let f(q) be the third derivative of -109*q**6/20 + q**5/60 - 5*q**4/12 + 5*q**2 - 18. Find the third derivative of f(x) wrt x.
-3924
What is the derivative of -61*z + 471 + 796 - 435*z wrt z?
-496
Let m(n) be the first derivative of -159 - 59/3*n**3 + n**2 + 25*n. Find the first derivative of m(c) wrt c.
-118*c + 2
Let k(i) = -13*i - 7. Let g be k(-1). What is the derivative of -13*x**3 - 5 - 2*x - g - 54 - 55 + 16*x**3 wrt x?
9*x**2 - 2
Differentiate -481208*f**4 - 6083 + 481160*f**4 + 3*f**2 + 2*f**3 - 2*f**3 + 5*f**2 with respect to f.
-192*f**3 + 16*f
Suppose -5*h + 40 = 5*q, 3*q + 2*q -