*h**3 - 13. Let s(w) be the third derivative of k(w). What is the second derivative of s(a) wrt a?
-2
Find the first derivative of -2*c**4 + 101*c**2 - 270*c**2 + 90*c**2 - 810 - c**4 wrt c.
-12*c**3 - 158*c
Let a(b) = 8*b**2 + 6*b - 3. Let h(s) = -15*s**2 - 12*s + 7. Suppose 6 = -3*o - 3. Let p(r) = o*h(r) - 7*a(r). What is the second derivative of p(k) wrt k?
-22
Let p(o) be the first derivative of -41*o**3 + 11*o**2 + 127. What is the second derivative of p(v) wrt v?
-246
Let f be (4 + -5)/((-1)/53). Let w = -125 - -178. What is the second derivative of -f*x**2 + 5*x**5 + w*x**2 - 3*x wrt x?
100*x**3
What is the derivative of -121*z**2 + 42*z**2 - 101*z**2 - 166 + 18*z**2 + 192 wrt z?
-324*z
Let n(j) be the third derivative of -53*j**4/12 + 301*j**3/6 - 287*j**2. Differentiate n(c) with respect to c.
-106
Let g(q) = 317*q + 842. Let v(t) = -80*t - 210. Let d(s) = 2*g(s) + 9*v(s). Find the first derivative of d(h) wrt h.
-86
Let y(c) = -10*c**5 - 8*c**4 - 88*c**2 - 2*c - 10. Let b(i) = i**5 + i**4 + 2*i**2 + 1. Let z(d) = -8*b(d) - y(d). What is the second derivative of z(r) wrt r?
40*r**3 + 144
Let n(f) be the third derivative of -f**9/1080 + 2*f**5/15 + 13*f**4/24 + 21*f**2. Let m(p) be the second derivative of n(p). Differentiate m(v) wrt v.
-56*v**3
Let u = 47 - 24. What is the third derivative of 12*d**5 + 11*d**2 - 38*d**2 + u*d**5 - 9*d**5 wrt d?
1560*d**2
Let h(x) be the third derivative of -3*x**8/16 + x**4/24 - 26*x**3/3 + 168*x**2 - 1. Find the second derivative of h(o) wrt o.
-1260*o**3
Let a(j) = 10*j - 4. Let z be a(2). Suppose 7*s - 2*s - 5*i = 5, 0 = 2*s + 5*i - z. Find the second derivative of 5*r**5 + 2*r**5 - s*r - 2*r**5 wrt r.
100*r**3
Let t(w) = 13 - w + 0*w - 14. Let m(q) = -q - 3*q**2 - 7 - 11 - q**2 - 13*q. Let r(o) = 2*m(o) - 36*t(o). What is the second derivative of r(y) wrt y?
-16
Let u = 143 - 134. Differentiate 4*a**4 - 4 + 22*a**4 + u - a + 40 with respect to a.
104*a**3 - 1
Let v(y) be the first derivative of 0*y**2 - 3*y**3 + 2/5*y**5 + 0*y**4 + 0*y + 14. What is the third derivative of v(l) wrt l?
48*l
Let m(w) be the second derivative of 14*w + 0*w**6 + 13/56*w**8 + 0*w**7 + 0*w**3 + 0 + 0*w**2 - w**4 + 0*w**5. What is the third derivative of m(a) wrt a?
1560*a**3
Let i(f) be the second derivative of 71*f**3/2 - 7*f**2 + 105*f. Differentiate i(v) with respect to v.
213
What is the third derivative of 7*o + 2997*o**5 - 5988*o**5 + 3009*o**5 + 4*o**2 wrt o?
1080*o**2
Let u(s) be the first derivative of -85*s**6/2 + 8*s**2 + 24*s - 583. What is the second derivative of u(q) wrt q?
-5100*q**3
Let l(o) be the first derivative of -144*o**7/7 + 89*o**3/3 + 59. Find the third derivative of l(n) wrt n.
-17280*n**3
Let m(o) be the third derivative of -433*o**8/336 + 233*o**4/8 - 78*o**2. Find the second derivative of m(x) wrt x.
-8660*x**3
Let o = 0 + 5. Suppose u + 2*u = 2*f - 12, 0 = -2*f - o*u + 12. What is the second derivative of y**3 - f*y - 3*y**3 + 11*y wrt y?
-12*y
Let w(u) be the first derivative of u**8/168 + 17*u**4/24 + 4*u**3/3 - 17. Let i(s) be the third derivative of w(s). What is the first derivative of i(v) wrt v?
40*v**3
Differentiate -5 - 24 + 51*q**4 - 3*q**4 - 10 wrt q.
192*q**3
Let f(o) = 0*o - 47 + 48 + 2*o. Let g be f(1). What is the second derivative of -2*x**g - 2*x**3 - 4*x + x**3 wrt x?
-18*x
Suppose -29 = -4*m - 21. Let s = 19 - 14. What is the third derivative of -j**5 - 3*j**5 - 3*j**5 - 3*j**s - 10*j**m wrt j?
-600*j**2
Let y(k) be the second derivative of 7/12*k**4 + 0*k**2 + 0*k**6 + 0*k**7 + 0 + 0*k**5 + 0*k**3 - 1/14*k**8 - 16*k. Find the third derivative of y(n) wrt n.
-480*n**3
Let m(c) = -8*c - 1. Let v(y) = 890*y + 183. Let g(s) = -2*m(s) + v(s). Find the first derivative of g(q) wrt q.
906
Let j(m) be the third derivative of -59*m**7/105 + m**5/30 + 17*m**4/12 - m**2 + 67. What is the second derivative of j(n) wrt n?
-1416*n**2 + 4
Let t(i) be the second derivative of 9*i**5/20 - i**4/3 + 286*i. Find the third derivative of t(z) wrt z.
54
Let s(m) = 587*m**2 + 8*m + 25. Let n(l) = -588*l**2 - 7*l - 19. Let q(w) = 6*n(w) + 5*s(w). Find the second derivative of q(y) wrt y.
-1186
Differentiate -765 + 517*x**2 + 342*x**2 + 122 wrt x.
1718*x
What is the second derivative of 136*w + 299*w**2 - 1 - 67*w + 4*w + 0 wrt w?
598
Suppose s - 12 = 26. Suppose -4*a - 5*b + s = 0, 5*a - b + 23 = 56. What is the first derivative of q + 4*q - 5*q - 2*q + a wrt q?
-2
Let a(v) = -v**2 - 1. Let o(p) = 13*p**2 - 6*p - 96. Let i(u) = 5*a(u) - o(u). Differentiate i(k) wrt k.
-36*k + 6
Let a(u) be the second derivative of -3*u**4/8 + 3*u**3 + 15*u**2/2 - 21*u. Let h(d) be the first derivative of a(d). Differentiate h(x) with respect to x.
-9
Let r(t) be the second derivative of 0*t**2 + 0 + 17/6*t**4 + 1/6*t**3 + 8*t. Find the second derivative of r(l) wrt l.
68
Let t(p) = -8*p**3 + 12*p**2 + 9*p - 196. Let a(c) = -c**3 - 2*c**2 - c - 2. Let q(m) = -6*a(m) - t(m). Differentiate q(g) wrt g.
42*g**2 - 3
Suppose -29*p - 1 = -28*p. Let d(u) = u - 1. Let a(n) = 19*n**2 + 33*n - 3. Let j(z) = p*a(z) + 3*d(z). What is the second derivative of j(l) wrt l?
-38
Let z(a) = -3*a**3 - a**2 + a + 2. Let w(t) = -9*t**3 - 20*t**2 - 5*t - 58. Let g(m) = w(m) - 2*z(m). Find the second derivative of g(n) wrt n.
-18*n - 36
Differentiate -103 - 36*i**2 + 32*i**2 - 24*i**2 - 113*i**2 with respect to i.
-282*i
Let o(n) be the first derivative of -22*n**5/5 - 54*n + 8. What is the derivative of o(a) wrt a?
-88*a**3
Find the second derivative of 88*h**4 - 29*h + 1 - 1416*h**3 + 1416*h**3 wrt h.
1056*h**2
Let b = -397 - -403. Let s = -10 + 17. What is the first derivative of s + b - 12 - 3*x**4 wrt x?
-12*x**3
Let g(y) be the third derivative of y**9/560 - 7*y**5/15 - 37*y**4/24 + 7*y**2. Let f(p) be the second derivative of g(p). Differentiate f(j) wrt j.
108*j**3
Let q(c) be the second derivative of -9/20*c**5 + 0*c**2 + 0 - 9*c + 0*c**4 + 2/3*c**3. What is the second derivative of q(g) wrt g?
-54*g
Find the second derivative of -2*v**5 - 21*v**4 + 317*v + 6*v**5 + 435*v + 79*v**4 + 11*v wrt v.
80*v**3 + 696*v**2
Let p(v) be the first derivative of -v**6/3 - 23*v**4/4 + 7*v**2 + v - 182. What is the second derivative of p(t) wrt t?
-40*t**3 - 138*t
Let n = -2 - -2. Suppose -4*q - 8 = 0, 13 - 9 = -y - 4*q. What is the third derivative of n*f**4 + f**2 + 10*f**4 - 2*f**y wrt f?
192*f
Let d(u) = -35*u**2 + 11*u - 88. Let k(h) = h**2 + h + 2. Let z(g) = -2*d(g) + 22*k(g). Differentiate z(l) wrt l.
184*l
Suppose -8 = -4*q + 8. What is the derivative of 4*u**3 + q + 111*u - 111*u wrt u?
12*u**2
Let l(f) = -f**4 + f**3 - f**2 + 1. Let c(j) = -3*j**4 + 13*j**3 + 29*j**2 + 4. Let n(r) = -c(r) + 4*l(r). What is the third derivative of n(h) wrt h?
-24*h - 54
Let o(f) be the third derivative of 1/56*f**8 + 0*f**7 + 0 + 0*f**3 - 11/60*f**5 - 3*f**2 + 0*f**4 + 0*f**6 + 0*f. What is the third derivative of o(d) wrt d?
360*d**2
Let i(y) = -y**3 + 2*y**2 + y - 2. Let o be i(2). What is the first derivative of 7 + o*t - t**2 + 0*t + 6*t**2 wrt t?
10*t
Let c be (-4)/4*1*-7. Let t = c - -1. What is the third derivative of -t*s**5 - 5*s**2 + 2*s**6 + 8*s**5 wrt s?
240*s**3
What is the second derivative of 2 - 185*h + 215*h**3 + 361*h - 291*h wrt h?
1290*h
Suppose 8*z = 65 + 535. Find the second derivative of 87*q**5 + 0*q**3 + 0*q**3 - z*q**5 - 7*q wrt q.
240*q**3
Let g(a) be the first derivative of a**8/1680 - 3*a**5/20 - 10*a**3/3 + 19. Let t(q) be the third derivative of g(q). Find the second derivative of t(o) wrt o.
12*o**2
Let t(n) be the second derivative of -583*n**6/30 - 59*n**3/2 - 6*n + 2. Find the second derivative of t(g) wrt g.
-6996*g**2
Let v = -30 - -49. Let k = v - 19. Find the second derivative of 7*w - w**2 + k*w + 7 - 7 wrt w.
-2
Suppose -6*g + 10 = 10. Let r(i) be the first derivative of -5 + 1/2*i**2 + g*i + 0*i**4 + 0*i**3 + 2/5*i**5. What is the second derivative of r(o) wrt o?
24*o**2
Let h be (-4)/(-18) - (-1183)/63. Find the second derivative of 2 - 66*d**3 + h*d**3 + d - 9 - 20 wrt d.
-282*d
Let m = -108 - -325/3. Let u(d) be the first derivative of 3 - 5*d + 0*d**2 - m*d**3. Find the first derivative of u(w) wrt w.
-2*w
Let h(d) be the first derivative of -3*d**7/7 - d**5/5 - 11*d**3/3 + 50. What is the third 