ind the second derivative of a*s**2 - 27*s**2 - 2*s + x*s**4 wrt s.
48*s**2
Find the third derivative of 242*b**4 + 2*b**5 - 70*b**4 + 2*b**2 + 157 - 8*b**3 + 8*b**3 wrt b.
120*b**2 + 4128*b
Let t be 1 + 0 + 12/4. Suppose z + t*v = -3*z, 5*z = v + 30. What is the second derivative of f - f**5 + z*f - 3*f**4 + 3*f**4 wrt f?
-20*f**3
Let s(k) = -209*k + 323. Let t(m) = -28*m + 43. Let y(c) = -5*s(c) + 38*t(c). What is the first derivative of y(x) wrt x?
-19
Let s(m) be the second derivative of m**2 + 7/24*m**4 - 2*m + 4/3*m**3 + 0. Let k(b) be the first derivative of s(b). What is the derivative of k(j) wrt j?
7
Suppose 5*b - 12 = 2*n - 38, 0 = -4*b - 16. Let u = n - 1. What is the derivative of -3*t**3 - 1 + 2*t**3 + 4 - u wrt t?
-3*t**2
Let k = -20 + 69. Differentiate g**4 + 51*g - 53 - k*g - 2*g**4 with respect to g.
-4*g**3 + 2
Differentiate -2 + 17 - 43*v**2 + 18 + 1 wrt v.
-86*v
Let u(r) be the second derivative of 3*r**5/20 + 2*r**3 - 11*r**2 - 2*r - 14. What is the derivative of u(w) wrt w?
9*w**2 + 12
Let q(h) = h - 5. Let t be q(4). Let o(y) = -43*y + 1. Let j be o(t). Find the third derivative of 44*a**3 + 2*a**5 - 3*a**2 - j*a**3 wrt a.
120*a**2
Find the first derivative of 70 - 76*m - 52*m + 26*m wrt m.
-102
Let n(y) be the first derivative of 86*y**2 + 69*y + 75. Differentiate n(w) wrt w.
172
Let l = -48 - -52. What is the second derivative of -8*c - 2*c + 2*c**l - 7*c**4 - 15*c wrt c?
-60*c**2
Let i(n) be the first derivative of -29/2*n**2 + 0*n**5 + 0*n**4 - 27 + 0*n + 1/3*n**6 + 10*n**3. What is the second derivative of i(d) wrt d?
40*d**3 + 60
Let h(q) = -327*q**3 - 39*q**2 - 2*q - 43. Let i(p) = 163*p**3 + 18*p**2 + p + 22. Let z(w) = -6*h(w) - 13*i(w). Find the second derivative of z(b) wrt b.
-942*b
Suppose -4*y + u + 48 = 3*u, 3*y + 4*u = 31. Find the third derivative of 0*s**2 + 24*s**6 - y*s**6 - s**2 + 4*s**2 wrt s.
1320*s**3
Differentiate -253 + 71*v**2 + 11*v**3 - 29*v**2 + 41*v**3 - 33*v**2 with respect to v.
156*v**2 + 18*v
Let v(j) = 14*j**2 + 8*j + 8. Let b(l) = 13*l**2 + 8*l + 10. Let d(h) = -2*b(h) + 3*v(h). What is the second derivative of d(k) wrt k?
32
What is the first derivative of -66 - 295*c**2 - c**2 - 684 wrt c?
-592*c
Let t(y) = 77*y**3 + 13*y**2 - 43*y + 6. Let x(r) = 232*r**3 + 37*r**2 - 130*r + 17. Let b(c) = 17*t(c) - 6*x(c). What is the second derivative of b(w) wrt w?
-498*w - 2
What is the third derivative of -10565 + 3*n**6 - 2*n**4 + 10565 - n**6 + 157*n**2 wrt n?
240*n**3 - 48*n
Let x(u) = 3*u**3 + 4*u**2 - 53*u - 309. Let z(l) = -15*l**3 - 22*l**2 + 265*l + 1547. Let c(v) = 11*x(v) + 2*z(v). Find the first derivative of c(o) wrt o.
9*o**2 - 53
Let c(f) be the second derivative of -f**8/336 + f**7/840 + 5*f**4/4 - 12*f. Let s(m) be the third derivative of c(m). Find the third derivative of s(b) wrt b.
-120
Let q(s) be the first derivative of s**7/14 + 11*s**4/24 + 5*s**2/2 - 5. Let u(n) be the second derivative of q(n). Find the second derivative of u(v) wrt v.
180*v**2
Let f(k) be the first derivative of -21*k**2/2 - 5*k - 8. Let q(z) = -10*z - 2. Let s(j) = 6*f(j) - 14*q(j). Differentiate s(c) wrt c.
14
Suppose -14*f + 10*f + 4 = 0. Let j(c) = c + 2. Let m be j(f). What is the third derivative of 7*q**2 - 6*q**3 - 6*q**2 - m*q**2 wrt q?
-36
Let a(w) be the third derivative of 16*w**7/105 - w**6/120 + 11*w**5/60 - 2*w**3 - 53*w**2. Find the third derivative of a(l) wrt l.
768*l - 6
Let u(j) = j**3 + 8*j**2 + 6*j + 13. Let k be u(-7). Find the second derivative of -26*l**2 + 26*l**2 - 12*l - k*l**5 wrt l.
-400*l**3
Differentiate 22*m**3 - 40*m**3 + 211 + 19*m**4 + 18*m**3 - 126*m**4 wrt m.
-428*m**3
Let w(t) = 28*t**5 - 6*t**2 + 14*t + 7. Let a(p) = 57*p**5 - 11*p**2 + 27*p + 13. Let n(h) = -6*a(h) + 11*w(h). What is the second derivative of n(k) wrt k?
-680*k**3
Let z be 46*(20/(-8) - -2). Let t = 27 + z. What is the second derivative of 4*x**3 - 2*x**4 + 22*x - 18*x - t*x**3 wrt x?
-24*x**2
Suppose 5*m + 4*t - 64 = 0, m + 2*t - 11 - 3 = 0. What is the derivative of -4*h**3 - 3*h**3 - 8*h**3 - m wrt h?
-45*h**2
Let u(o) be the third derivative of 4*o**5/15 - o**4/6 + 3*o**3 - 103*o**2. Find the first derivative of u(y) wrt y.
32*y - 4
Suppose -6 = 3*o - 18. Suppose 2*x + o*u = -x + 16, 0 = -2*x - u + 9. Find the second derivative of 3*a + 14*a**4 - 13*a**x + 2*a wrt a.
12*a**2
Let g(p) = 2*p**2 - 2*p + 2. Let r be g(4). What is the first derivative of -1 + 4 + 4 + r*x wrt x?
26
Find the second derivative of -230*l - 224*l + 266*l - 53*l**3 - 38*l wrt l.
-318*l
Differentiate 22 - 2*h**3 - 4*h**3 - 3024*h**4 + 3023*h**4 wrt h.
-4*h**3 - 18*h**2
Let m be (-244)/(-6) + (-10)/15. Let s be (-8)/(-44) - m/(-22). Find the first derivative of -4 - 3*t**2 + 5 + 0*t**s - 3 wrt t.
-6*t
Let b(i) be the third derivative of -3/2*i**3 - 3*i**2 - 1/24*i**4 + 0 + 0*i. Find the first derivative of b(v) wrt v.
-1
Let o(f) be the third derivative of -7/60*f**5 - 46*f**2 + 0 + 0*f**3 + 0*f**4 + 0*f**6 - 4/35*f**7 + 0*f. Find the third derivative of o(u) wrt u.
-576*u
Suppose -4*n + m - 14 = -9*n, n = 3*m - 10. Suppose n*w - 9 - 18 = 5*a, 4*w = -4*a - 16. Differentiate 1 - 3 + 3*s**3 - w + 2 wrt s.
9*s**2
Let w(u) = -15*u**4 - 32*u**3 - 11*u. Let f(k) = 7*k**4 + 16*k**3 - k**2 + 6*k. Let y(h) = 5*f(h) + 3*w(h). What is the third derivative of y(o) wrt o?
-240*o - 96
Let x(d) = -d**3 - d**2. Let c(l) = -19*l**3 + 6*l**2 - 22*l. Let v(u) = c(u) + 6*x(u). Find the second derivative of v(k) wrt k.
-150*k
Let l(p) be the third derivative of -3*p**4/8 - p**3/3 - 32*p**2 - p. Find the first derivative of l(w) wrt w.
-9
Let g(a) be the second derivative of 9*a**8/14 - a**5/20 - 17*a**4/6 - 59*a. What is the third derivative of g(d) wrt d?
4320*d**3 - 6
Let o(f) = -13*f + 42. Suppose -l = -3*c - 23, 3*c - 32 = 7*c - 2*l. Let d(m) = -28*m + 83. Let p(b) = c*o(b) + 4*d(b). Differentiate p(k) with respect to k.
-21
Let f(l) be the first derivative of l**7/168 + l**4/6 - 2*l**3/3 + 12. Let q(h) be the third derivative of f(h). What is the first derivative of q(c) wrt c?
15*c**2
Let p(t) be the third derivative of t**4/24 + 107*t**3/6 + 91*t**2. What is the first derivative of p(v) wrt v?
1
Let j(o) be the third derivative of 0 + 0*o - 12*o**2 + 7/20*o**5 + 7/2*o**3 + 0*o**4. What is the derivative of j(f) wrt f?
42*f
Let t(b) = -b**2 + 7*b - 8. Let n be t(4). Suppose -3*w + 15 = 2*q - 6*w, -6 = -n*q - 2*w. What is the first derivative of 0 + 1 - 9*l**q + 4 + 1 wrt l?
-27*l**2
Let v be -2 + -15 + (-12)/(-4). Let n = 18 + v. What is the second derivative of 0*f + n*f + 0*f + f**3 wrt f?
6*f
Let b(m) = m + 1. Let y(v) = -28*v - 28. Suppose p - 10*p = 9. Let o(f) = p*y(f) - 35*b(f). Find the first derivative of o(q) wrt q.
-7
Let o(w) = w**3 - w + 2. Let n be o(2). Let p = 12 - n. What is the third derivative of p*a**4 - 4*a**4 - 2*a**2 - 6*a**5 + 4*a**5 wrt a?
-120*a**2
Let n(t) = 1 + 2 + 10*t**2 + 16*t + 0*t**2. Let x(p) = 9*p**2 + 17*p + 2. Let v(c) = 2*n(c) - 3*x(c). What is the second derivative of v(y) wrt y?
-14
Let i(r) = -r - 4. Let h be i(-10). Suppose 3*a + h = 21. What is the second derivative of a*l**2 + 4*l**2 - 6*l - 2*l**2 + 2*l wrt l?
14
What is the first derivative of -139 + 0*z - 2*z - 97827*z**4 + 97857*z**4 wrt z?
120*z**3 - 2
Suppose 0 = o + 2*o - 105. Let k(g) be the first derivative of -o*g + 31*g + 5 + 10*g**2 - 4*g**2. Differentiate k(h) with respect to h.
12
Let h(k) be the third derivative of -k**9/252 + 11*k**6/30 - 19*k**5/60 - k**3 + 3*k**2 - 15. Find the third derivative of h(v) wrt v.
-240*v**3 + 264
What is the second derivative of 52 - 30 - 25 - 17*b + 76*b**5 wrt b?
1520*b**3
Let x(t) be the third derivative of t**4/24 - t**3/6 + 29*t**2. Let q(y) = 10 + 2*y + 2*y - 6*y. Let r(l) = -q(l) - x(l). Differentiate r(w) wrt w.
1
Find the third derivative of 108*b**5 - 7 - 221*b**4 + 2*b**2 + 221*b**4 wrt b.
6480*b**2
Let h(i) be the second derivative of 73*i**7/21 + 2*i**3/3 + 7*i**2/2 + 192*i. Find the second derivative of h(c) wrt c.
2920*c**3
Let g(o) = -2*o - 16. Let i be g(-10). Find the first derivative of 8*w**i + 15 - 3*w**4 + 2*w**4 + 2*w**4 wrt w.
36*w**3
Let a(z) be the first derivative of -7*z**5/20 - z**4/6 + 7*z**2 + 19. Let f(r) be the second derivative of a(r). What is the second d