Let l = 422 + -422. Let x(d) be the third derivative of 0 + 1/10*d**6 - 8*d**2 + 1/24*d**4 + l*d + 0*d**5 + 0*d**3. Find the second derivative of x(b) wrt b.
72*b
Let h(i) = 2*i**2 + 20*i - 39. Let f be h(-12). Suppose q - 5*p + 10*p = 14, -3*p - f = 0. Find the first derivative of -24*b**3 + 153*b - 153*b - q wrt b.
-72*b**2
Let h(k) be the first derivative of 1735*k**2/2 + 1380*k - 1459. What is the first derivative of h(d) wrt d?
1735
Suppose -2*h + 77 + 13 = 0. Let v = h - 40. Find the third derivative of -5*j**5 + 6*j**5 - 15*j**2 + 6*j**5 + j**v wrt j.
480*j**2
Find the first derivative of -1142 - 5*f - 3274 - 2901 + 9425 - 642*f**3 wrt f.
-1926*f**2 - 5
Suppose -2*h + 2*b - 54 = -6*h, -2*b = 5*h - 68. What is the third derivative of -255*d**2 + 0*d**5 - h*d**6 + 136*d**6 + 0*d**5 - 60*d**6 wrt d?
7440*d**3
Suppose 4*a + u = 13, 0 = 2*u + u - 15. What is the derivative of -37*s**2 - 22*s**2 + 68 - 40*s**3 + 59*s**a wrt s?
-120*s**2
Suppose 0 = -5*n + 5*u + 250, -3*n + u + 111 = -49. Suppose 4*k - 9*k + n = 0. What is the derivative of -4 + 0 + 32 + 2*g**3 + k*g**3 wrt g?
39*g**2
Let l(q) be the first derivative of 1137*q**4/2 + 441*q**3 + 736. What is the third derivative of l(t) wrt t?
13644
Suppose -5*d = -8*d + 672. Find the second derivative of -d*n**5 + 254*n**5 + n + n wrt n.
600*n**3
Let p(r) = -r**3 - 4*r**2 - 19*r - 46. Let d be p(-3). Let n = 20 + -13. What is the third derivative of m**4 - 110 + 110 + n*m**3 + 2*m**4 - 11*m**d wrt m?
72*m + 42
Let c(l) = 4359*l**2 + 1282*l + 27. Let x(a) = 2180*a**2 + 637*a + 12. Let i(j) = 4*c(j) - 9*x(j). What is the second derivative of i(w) wrt w?
-4368
Let l(d) = 5227*d**2 - 4027*d + 3. Let w(h) = 5229*h**2 - 4025*h + 4. Let f(b) = -4*l(b) + 3*w(b). Find the second derivative of f(s) wrt s.
-10442
Let r(l) be the third derivative of 2099*l**6/30 + 2257*l**5/60 - 17*l**2 + 65*l + 2. What is the third derivative of r(h) wrt h?
50376
Let z(r) be the second derivative of 75*r**8/28 + 13*r**4/12 + 45*r**2/2 + 228*r - 2. What is the third derivative of z(t) wrt t?
18000*t**3
Let p be (-1 + -1)*(28/(-8) + 2). Suppose -5*x + q + 40 = -p*q, -3*x + 32 = -4*q. What is the third derivative of 10*a**3 - 12 + 6*a**2 + 8 + x wrt a?
60
Let d(x) be the third derivative of -26*x**9/21 - 31*x**5/30 + 7*x**4/12 + 1859*x**2. What is the third derivative of d(p) wrt p?
-74880*p**3
What is the derivative of -584 - 269*p**3 - 243*p**3 - 2*p**2 - 842 + 0*p + 0*p wrt p?
-1536*p**2 - 4*p
Let t(f) = 1423*f**3 + 2*f**2 - 38*f - 1846. Let j(s) = 1423*s**3 + 3*s**2 - 57*s - 1847. Let d(p) = -2*j(p) + 3*t(p). Find the first derivative of d(b) wrt b.
4269*b**2
Let a(i) be the third derivative of -2449*i**7/210 - 83*i**5/30 - i**3/3 + i**2 - 421. What is the third derivative of a(p) wrt p?
-58776*p
Let x(b) be the second derivative of -58*b**2 + 0*b**3 + 0 + 116*b - 145/12*b**4. Differentiate x(d) with respect to d.
-290*d
Suppose 3*d + 4*a - 55 = 43, 2*d - 4*a = 52. Find the first derivative of 8 - 31 - d + 2*x**2 - 366*x + 403*x wrt x.
4*x + 37
Let p(x) be the second derivative of 1258*x**4/3 - 584*x**3/3 - x**2/2 - x - 4120. What is the second derivative of p(a) wrt a?
10064
Let s(m) be the first derivative of 2/5*m**5 + 0*m + 56 + 47/3*m**3 + 0*m**2 - 11/4*m**4. What is the third derivative of s(x) wrt x?
48*x - 66
Let q(v) be the third derivative of -5753*v**8/336 - 53*v**5/60 - v**4/8 - v**3/3 - 11451*v**2. Find the third derivative of q(g) wrt g.
-345180*g**2
Let f = 19 - 13. Let h(k) = -k**2 + 11*k - 3. Let a be h(10). What is the third derivative of 6*l**2 - 7*l**6 - a*l**f + 11*l**2 wrt l?
-1680*l**3
What is the derivative of 1372 + 283*z**2 - 285*z**2 + 8652*z**4 + 12999 wrt z?
34608*z**3 - 4*z
Find the first derivative of 60 + 1025*v - 274 - 107 wrt v.
1025
Find the third derivative of 296*u - 2*u**4 + 154*u - 636*u**2 - 749*u + 301*u - 2*u**3 + 1649*u**5 wrt u.
98940*u**2 - 48*u - 12
Let u be (-16)/2 + 2805/306. Let h(y) be the second derivative of 0*y**3 + 6*y + 0 - u*y**4 - 9/2*y**2. Find the first derivative of h(s) wrt s.
-28*s
Suppose -5*g = -4*l - 265, -4*l + 5*l + 201 = 4*g. Find the second derivative of -g + 54 - 2*w + 18*w**4 + 34*w**4 wrt w.
624*w**2
Let q = 35 + -20. Suppose 34 + q = -7*m. Let s(r) = -19*r + 22. Let v(j) = -57*j + 66. Let c(a) = m*s(a) + 2*v(a). What is the derivative of c(l) wrt l?
19
Let w(j) = 58*j**3 + 5*j**2 + 23*j. Let u(x) = -58*x**3 - 6*x**2 - 17*x. Let h(l) = 4*u(l) + 3*w(l). What is the third derivative of h(g) wrt g?
-348
Let x be 0 + -1*10/45 + 435/135. Let c(k) be the second derivative of 0 + 4*k + 8/3*k**x + k**2. What is the derivative of c(a) wrt a?
16
Suppose 72*a - 71*a = -2, 2*a + 2700 = 4*g. What is the second derivative of -708*i + 44*i**3 - g*i - 3 + 1440*i wrt i?
264*i
Let o(l) be the first derivative of -l**4/4 - 5*l**3/3 - 5*l**2 - 10*l - 34. Let a be o(-4). Differentiate a + 14 - 41*i + 12*i + 4 wrt i.
-29
Let h(w) be the first derivative of 5939*w**4/4 - 2111*w**3/3 + 4664. Find the third derivative of h(t) wrt t.
35634
Differentiate 918*r**3 - 363*r**3 + 7812*r**3 + 2442 + 2*r**2 with respect to r.
25101*r**2 + 4*r
Let u(f) be the third derivative of -3*f + 0*f**4 + 0 + 0*f**5 + 0*f**6 + 149/210*f**7 - 175/6*f**3 + 24*f**2. Differentiate u(t) with respect to t.
596*t**3
Let d(h) = -10*h**3 + 10552*h**2 - 119*h + 22333. Let a(j) = -3*j**3 + 3015*j**2 - 35*j + 6381. Let v(q) = -17*a(q) + 5*d(q). Differentiate v(x) wrt x.
3*x**2 + 3010*x
Differentiate -6*m**4 + 4 - 8*m**4 + 106 - 3*m**4 + 15 - 10*m**3 with respect to m.
-68*m**3 - 30*m**2
Let j(a) = 924*a**3 + 2*a**2 - 115*a + 3. Let m(i) = 6*i**3 - 2*i**2 + 1. Let b(v) = -j(v) - m(v). Find the second derivative of b(s) wrt s.
-5580*s
Let h(r) = -4913*r**5 + 11*r**3 - 26*r - 44. Let g(z) = -2456*z**5 + 6*z**3 - 13*z - 22. Let c(d) = -11*g(d) + 6*h(d). Find the second derivative of c(y) wrt y.
-49240*y**3
Let r(h) be the second derivative of 1/6*h**4 - 1 - 7*h - 11*h**2 - 8/3*h**3. What is the derivative of r(b) wrt b?
4*b - 16
Find the third derivative of 2 - 5 - 51*q**4 + 69*q**4 + 193*q**2 + 77*q**4 + 314*q**4 wrt q.
9816*q
Let z = -56 + 61. Suppose 0 = -z*a + 9*a - 16. Differentiate -120*q**4 + 22 - 131*q**4 + 258*q**a wrt q.
28*q**3
Let t(j) be the first derivative of -2*j - 3. Let x(d) = 53 - 71*d**2 - 12 + 77*d**2. Let q(y) = -22*t(y) - 2*x(y). Find the first derivative of q(h) wrt h.
-24*h
Let d = -399 + 402. Find the second derivative of 47*p**d + 40*p**3 - 109*p + 50*p**3 wrt p.
822*p
Let z(h) = -813*h - 3754. Let u(p) = -810*p - 3754. Let j(x) = -7*u(x) + 8*z(x). Find the first derivative of j(y) wrt y.
-834
Find the third derivative of -15*q**3 + 7*q**5 - 3*q**4 + 79*q**3 + 7634*q**2 + q**4 - 5873*q**2 wrt q.
420*q**2 - 48*q + 384
Let u(t) be the third derivative of 5/6*t**5 + 0*t + 0*t**4 + 116*t**2 - 13/60*t**6 + 0 + 0*t**3. What is the third derivative of u(i) wrt i?
-156
Let g(m) = 4450*m**4 + 11*m**2 - 18152*m. Let r(n) = -2225*n**4 - 5*n**2 + 9079*n. Let t(i) = 5*g(i) + 11*r(i). What is the second derivative of t(z) wrt z?
-26700*z**2
Let u(f) be the third derivative of -149*f**6/24 - f**5/60 + f**4/6 - 6625*f**3/6 + 4*f**2 - f - 152. Differentiate u(n) with respect to n.
-2235*n**2 - 2*n + 4
Let m(u) = 21*u - 93. Let k be m(5). What is the second derivative of 28*t**2 + 2*t - 24 - k + 54*t**2 + 2*t - 2*t wrt t?
164
Suppose 15 = 15*c - 12*c. Suppose -4*s - 81 = -3*k, -k = 2*k + c*s - 54. Differentiate -k*a - 6 - 9 + 3 + 4 with respect to a.
-23
Let g = -237 - -239. Find the first derivative of 17*x**g - 10*x**2 - 6*x - 43*x**2 + 4*x - 109 wrt x.
-72*x - 2
Let n(w) be the third derivative of 1747*w**8/336 - 314*w**4/3 - 3*w**2 + 216*w. Find the second derivative of n(g) wrt g.
34940*g**3
Let h(b) = -b**3 + 31*b**2 - 57*b - 17. Let m be h(29). What is the derivative of -596*x + 617*x + 10 + m wrt x?
21
Let t(v) be the first derivative of 106*v**3/3 + 6*v**2 + 1505*v + 2605. Differentiate t(h) wrt h.
212*h + 12
Let z(y) = 3*y - 6. Let h be z(4). Suppose 0 = 4*m - 705 + 693. Find the third derivative of -m*l**2 - 5*l**2 + 3*l**h + l**2 wrt l.
360*l**3
Let h(x) = x**2 - 6*x + 11. Let c be h(4). Find the second derivative of -136*r - 125*r + 56*r**c + 213*r wrt r.
336*r
Let g(u) = u + 1. Let