t x(v) be the second derivative of v**6/120 + v**4/6 - 23*v**2/2 - 25*v. Let r(u) be the first derivative of x(u). Find the second derivative of r(h) wrt h.
6*h
Let l(i) be the first derivative of -18*i**3 - 35*i**2/2 + 3*i + 396. Find the second derivative of l(q) wrt q.
-108
Let u(j) = -j**5 - j**3. Let f(r) = -r**3 + r**2 + 2*r**5 + 2*r**6 - 3*r**5 + 2*r**2. Let v(o) = -2*f(o) + 2*u(o). Find the third derivative of v(x) wrt x.
-480*x**3
Let j be 4 - (0 + 0) - -2. Suppose 3*b = 3*t + 12, 6*t - 9*t - 12 = 0. What is the third derivative of -65*d**2 - j*d**4 + 0 + b + 60*d**2 wrt d?
-144*d
Let d(b) be the first derivative of -48*b - 33 + 16*b**2 + 22*b + 21*b + 19*b. Find the first derivative of d(f) wrt f.
32
Let a(m) be the first derivative of 0*m**4 + 0*m + 0*m**5 - 24 - 5/3*m**3 + 7/2*m**6 + 0*m**2. What is the third derivative of a(x) wrt x?
1260*x**2
Suppose -2 = 3*x + 2*p, -5*p + p = 5*x + 6. What is the third derivative of 10*q**4 + 36*q**4 - 21*q**4 + 16*q**x wrt q?
600*q
Let s(d) be the first derivative of 92*d**6/3 - 2*d**3/3 - 11*d**2/2 + 100. Find the third derivative of s(i) wrt i.
11040*i**2
Let s be 0/(-2 + -2) - -9. Let f be 57/s + 8/(-6). What is the first derivative of -2*n + 6 + f*n + 7 - 6 wrt n?
3
Let t be 6 + (-6 - (-1 - 1)). Suppose -2*a = 2*g, t*g - 5*a - 2 = 12. What is the third derivative of -4*x**g + 5*x**5 + 0*x**5 - 2*x**2 wrt x?
300*x**2
Let l(b) = 38*b**2 - 27*b + 4. Suppose 10*m - 16 - 24 = 0. Let o(v) = v + 1. Let n(z) = m*o(z) - l(z). What is the second derivative of n(g) wrt g?
-76
Suppose -31*f - 9*f = -200. Let b(v) be the second derivative of 0 + 0*v**4 + 2*v**2 + 0*v**3 - 3/10*v**f + 8*v. Differentiate b(s) with respect to s.
-18*s**2
Let q(u) = -38*u - 30. Let k(n) be the third derivative of -19*n**4/12 - 29*n**3/6 - n**2. Let i(w) = -3*k(w) + 2*q(w). Differentiate i(t) with respect to t.
38
Let k(w) = 3*w - 3. Let y be k(2). Differentiate 2 + 14*h**y + 7*h + 9*h - 16*h with respect to h.
42*h**2
Let b(h) = h - 4. Let o be b(7). Suppose -3*n + 3*q = -9, 2*n + 4*q = -o*n + 24. Find the second derivative of -6*l**n - 4*l - 4*l + 3*l + 0*l wrt l.
-72*l**2
Suppose 0 = -2*w - 3 + 5. Suppose 39 - 21 = 3*j. Find the third derivative of -j*i**2 - w + 1 - 4*i**4 - i**4 wrt i.
-120*i
Find the first derivative of 53*k - 374 + 373*k + 148 - 241 + 164*k wrt k.
590
Let x(w) = 12*w**2 + 40*w + 674. Let z(o) = 34*o**2 + 119*o + 2021. Let l(h) = 11*x(h) - 4*z(h). Find the first derivative of l(j) wrt j.
-8*j - 36
Find the third derivative of 71*u**2 - 5*u**4 + 6*u**6 + 0*u**4 + 5*u**6 + 9*u**4 - 5*u**4 wrt u.
1320*u**3 - 24*u
Let t(i) be the first derivative of -i**6/20 + 4*i**3/3 + 29*i**2/2 + 27. Let x(s) be the second derivative of t(s). Find the first derivative of x(d) wrt d.
-18*d**2
Let o(x) = -x**3 - 19*x**2 - 18*x + 2. Let h be o(-18). What is the third derivative of 4*j**2 - 3*j**6 - 20 - 4*j**4 + j**2 + 6*j**6 - 4*j**h wrt j?
360*j**3 - 96*j
Find the third derivative of -227*g**3 - 84*g**2 + 106*g**2 + 2*g**3 + 220*g**2 wrt g.
-1350
Let j(a) = -497*a - 343. Let i(z) = 1001*z + 686. Let u(c) = 4*i(c) + 9*j(c). Differentiate u(g) wrt g.
-469
Suppose 0 = -2*i - 5 + 25. Suppose -i = -o - 4*o. Find the second derivative of 6*v**2 - 5*v**2 + 7*v**2 - 6*v - o*v**2 wrt v.
12
Let h(r) = 108*r**3 + 90*r. Let w(l) = 216*l**3 + 179*l. Let m(d) = 5*h(d) - 2*w(d). Find the second derivative of m(c) wrt c.
648*c
Let f(z) be the first derivative of -151*z**2/2 + 90*z + 123. Differentiate f(w) with respect to w.
-151
Find the first derivative of 424*v - 1061 + 870 + 294*v wrt v.
718
Let w(i) = 123*i**4 - 3*i**3 + 3*i**2 - 36*i + 47. Let t(f) = -f**3 + f**2 - 12*f. Let l(r) = 3*t(r) - w(r). Differentiate l(h) with respect to h.
-492*h**3
Suppose -9*v + 8 = -100. Find the first derivative of 6 - v*j**2 - 9 + 3*j**2 wrt j.
-18*j
Let f(g) = -g**2 + 10*g - 12. Let y be f(8). Suppose y*n - 5 = 15. Find the second derivative of -60*w**2 - 6*w + 60*w**2 + 8*w**n wrt w.
160*w**3
Let z be (32/56 - (-4)/(-7)) + 5. What is the second derivative of 9*j**5 + j**z - 2*j + 2*j - 4*j wrt j?
200*j**3
Let x = 67 + -64. Let m(k) = 26*k**4 - 2*k**2 - 29. Let y(a) = 25*a**4 - 3*a**2 - 28. Let q(f) = x*m(f) - 2*y(f). Differentiate q(i) with respect to i.
112*i**3
Let r = -42 - -58. Find the second derivative of r*b**3 + 5*b**3 + 18*b - 5*b wrt b.
126*b
Let u = 92 - 65. Differentiate 5*z**4 - 3*z**4 - u + 18*z**4 with respect to z.
80*z**3
Let b(n) be the third derivative of -n**7/210 - 7*n**5/30 + n**4/12 + 91*n**3/6 - 81*n**2. Find the second derivative of b(z) wrt z.
-12*z**2 - 28
Let w(q) be the first derivative of 0*q**2 - 2/3*q**3 + 0*q**6 + 0*q**4 - 6/7*q**7 + 19 + 0*q**5 + 0*q. What is the third derivative of w(l) wrt l?
-720*l**3
Let g = 8 + 25. Let k = g + -28. What is the second derivative of t - 8*t**k - 9*t**5 + 24*t**5 wrt t?
140*t**3
Let p(q) be the second derivative of q**6/30 - 49*q**4/6 + 233*q**3/6 - 189*q. Find the second derivative of p(r) wrt r.
12*r**2 - 196
Let p(k) be the second derivative of 59*k**4/6 + 31*k**3 + 2*k + 191. Find the second derivative of p(q) wrt q.
236
Let d = 118 + -116. Let k(s) be the second derivative of 0 + 7/2*s**d - 4/3*s**3 + 3*s. Find the first derivative of k(b) wrt b.
-8
Let k(t) be the first derivative of -86*t**5/5 - 87*t**2/2 - 73. What is the second derivative of k(i) wrt i?
-1032*i**2
Let b(h) be the third derivative of -29*h**9/252 - h**6/30 + h**5/60 + 2*h**3/3 + 190*h**2 - 2*h. Find the third derivative of b(x) wrt x.
-6960*x**3 - 24
Let w(n) = 60*n**3 + 4*n - 12. Let y(b) = 62*b**3 + 3*b - 10. Let z(j) = -3*w(j) + 4*y(j). Differentiate z(v) wrt v.
204*v**2
Suppose 17*r - 19*r + 4 = 0. Differentiate 1046*v + 19*v**2 - 26 - 1046*v + v**r with respect to v.
40*v
Suppose -3*g + n = -g - 5, -5*g - 5*n = -35. What is the third derivative of -3*o**4 + 4*o**4 + 9*o**g + 9*o**2 - 24*o**2 wrt o?
240*o
Let u = -40 + 51. What is the third derivative of 13*h**2 + 12*h**2 - 10*h**2 - u*h**6 wrt h?
-1320*h**3
Let h = 18 + -12. Find the third derivative of -8*u**6 - 8*u**2 - 21*u**6 + 13*u**h wrt u.
-1920*u**3
What is the third derivative of -280*f**5 + 3054*f**2 + 2 - 2 - 3021*f**2 wrt f?
-16800*f**2
Find the third derivative of -153 + 207*y**2 - 74 + 227 - 106*y**5 wrt y.
-6360*y**2
Let t(d) = -d**3 + 9*d**2 + 23*d - 9. Let b be t(11). What is the third derivative of -33*o**2 - 30*o**2 - 36*o**4 + 11*o**b + 33*o**4 wrt o?
-72*o
Let l(p) be the second derivative of -4*p**7/21 - p**5/5 - 5*p**4/4 + 77*p. Find the third derivative of l(d) wrt d.
-480*d**2 - 24
Find the third derivative of -11632*u**2 + 5667*u**2 + 5746*u**2 + 88*u**5 wrt u.
5280*u**2
Suppose 0 = 3*r - 9, 57 = -0*j + 4*j - r. What is the third derivative of 12*f**2 + 13*f**2 + 20*f**2 - j*f**4 - 38*f**2 wrt f?
-360*f
Let g(r) be the second derivative of -r**8/336 - r**4/3 - 5*r**2 + 15*r. Let k(l) be the first derivative of g(l). What is the second derivative of k(c) wrt c?
-20*c**3
Let f = 3 - 0. Suppose 0 = 3*c + 2*a + a - 12, 0 = c - 4*a + 6. What is the third derivative of -f*v**4 - 3*v**4 + 3*v**2 - v**c wrt v?
-144*v
Suppose 0 = z + 2*z - 18. Suppose 4*w = -w + 20. What is the first derivative of w + 2*d**4 + z*d**4 - 3*d**4 wrt d?
20*d**3
Suppose 7 + 0 = -7*s. Let w(k) = -k**2 - k - 1. Let d(b) = -2*b**2 - 12*b - 1. Let p(y) = s*w(y) + d(y). Find the second derivative of p(h) wrt h.
-2
What is the derivative of -75*q - 36*q - 113 - 75*q wrt q?
-186
Differentiate 98 - 20*t**2 - 9*t**4 + 55*t**4 + 33*t**2 - 8*t**4 - 14*t**2 wrt t.
152*t**3 - 2*t
Let l = 19 - 10. Find the first derivative of -6*t**2 + t**2 - 9 + l*t**2 wrt t.
8*t
Let n be ((0/(9 - 6))/(-1))/(-3). Let h(x) be the first derivative of n*x**3 + 0*x + 1/2*x**4 - x**2 - 1. Find the second derivative of h(q) wrt q.
12*q
Suppose 4*i + j - 41 = 0, -3*j + 54 = 5*i + j. Find the first derivative of 20*v + i + 2*v - 10*v wrt v.
12
Let n(b) be the first derivative of 31*b**4/4 - 26*b**3 - 4. What is the third derivative of n(z) wrt z?
186
Let v(j) be the second derivative of -76*j**7/21 - 35*j**4/12 + 3*j - 25. Find the third derivative of v(b) wrt b.
-9120*b**2
Suppose -3*n + 14 = 4*b, 2*b - n - 12 = -5*n. Suppose -b*o - 9 = o, -f + 2*o + 8 = 0. What is the second derivativ