v). Find the first derivative of j(p) wrt p.
6
Suppose -15*g = -20*g + 10. What is the second derivative of 10*q**2 + 0*q**g - 8*q**2 - 4*q + 3*q**2 wrt q?
10
Let i(k) be the first derivative of k**6/30 + k**3 + 5*k**2 - 7. Let j(q) be the second derivative of i(q). What is the derivative of j(s) wrt s?
12*s**2
Suppose -3*a + 7*h = 2*h - 31, -h + 3 = 4*a. Differentiate -3 + 12*q**a + 0*q**2 - 30*q**2 with respect to q.
-36*q
Let y = 154 + -51. Find the second derivative of 4*o**5 + 80*o - 15*o**5 - y*o wrt o.
-220*o**3
Let c(n) be the second derivative of 8*n**4/3 - n**3/3 + 103*n**2 + 5*n - 3. Differentiate c(p) with respect to p.
64*p - 2
Let v(x) be the second derivative of -23*x**6/10 - 277*x**4/12 - x - 122. What is the third derivative of v(z) wrt z?
-1656*z
Differentiate 39*p + 35*p**3 + 2*p + 163 - 41*p wrt p.
105*p**2
Find the second derivative of 30*z**2 + 180*z**2 + 4*z**2 - 391*z**2 - 39*z - 1 - 9*z wrt z.
-354
Find the third derivative of -5 + 146*u**3 - 567*u**2 + 571*u**2 - 39*u**3 wrt u.
642
Let y(p) be the second derivative of 1/30*p**6 + 0*p**4 + 0*p**3 + p - 11 - 13/20*p**5 - 9*p**2. Differentiate y(a) wrt a.
4*a**3 - 39*a**2
Let t be (-123)/9*(9 - 12). What is the second derivative of 3*d**2 - 10*d**2 + 7*d**2 - 35*d - t*d**4 wrt d?
-492*d**2
Find the second derivative of 506 - 510 - 16*i + 489*i**4 + 85*i wrt i.
5868*i**2
Suppose -u - 3*l = 3*u + 11, 3 = -3*u + 3*l. Let j be (3/u)/(18/(-24)). Differentiate -3*v + 3*v + j*v + 8 + 2*v with respect to v.
4
Let i(h) be the second derivative of -2/5*h**5 + 3/2*h**4 + 0*h**3 + 20*h + 0*h**2 + 0. Find the third derivative of i(w) wrt w.
-48
Let m(t) = -t**4 - t**3 + t - 2. Let u(z) = 6*z**4 + 5*z**3 + 10*z**2 - 15*z + 10. Let w(i) = -5*m(i) - u(i). Find the second derivative of w(o) wrt o.
-12*o**2 - 20
Suppose -3*b - 2*b = 5*o, 4*b + 36 = 5*o. Let j = -2 - b. Find the second derivative of -4*f**j - 13*f + 10*f**2 + 22*f wrt f.
12
Let i(b) be the third derivative of 0*b**4 + 1/3*b**5 + 13*b**2 + 0 - 3*b**3 + 0*b. What is the derivative of i(o) wrt o?
40*o
Find the first derivative of 11 + 42 + 10*x**2 - 36*x**2 - 11*x**2 wrt x.
-74*x
Let n(i) = -2*i**5 - i**4 + i. Let k(h) = -90*h**5 + 6*h**4 - 233*h. Let s(q) = k(q) + 6*n(q). What is the second derivative of s(y) wrt y?
-2040*y**3
Find the third derivative of -725*x**5 + 2193*x + 827*x**2 - 2193*x wrt x.
-43500*x**2
Let x(y) be the third derivative of 0*y**4 + 5/2*y**3 + 0*y + 11/120*y**6 + 0*y**5 + 0 + 28*y**2. Differentiate x(u) with respect to u.
33*u**2
Let w(r) be the second derivative of 22*r + 0 + 5/3*r**3 - 9*r**2. Differentiate w(q) with respect to q.
10
Differentiate -18 - 60 + 126*b - 126*b - 27 + 6*b**4 with respect to b.
24*b**3
What is the third derivative of -20*t**4 - 85*t**2 + 2 - 64*t**6 + 20*t**4 + 30*t**2 - 77*t**2 wrt t?
-7680*t**3
Let x(o) = 239*o + 234. Let j(p) = -241*p - 232. Let l(w) = 7*j(w) + 6*x(w). What is the first derivative of l(d) wrt d?
-253
Find the second derivative of 15 + 3*n - 4*n**4 - 6 - 55*n**3 + 5*n**4 wrt n.
12*n**2 - 330*n
Let o(a) be the second derivative of -a**6/8 - a**5/60 + 6*a**2 + 14*a. Let d(p) be the first derivative of o(p). What is the third derivative of d(t) wrt t?
-90
Let j(v) = v**2 + 13*v + 6. Let h be j(-13). Suppose -3*x - 6 = -h*x. What is the derivative of -6 + 1 - x*c + 1 wrt c?
-2
Let q(d) = d**4 + d - 1. Let i(s) = -4*s**4 + s**2 + 2*s + 2. Let h(g) = i(g) + 2*q(g). What is the second derivative of h(v) wrt v?
-24*v**2 + 2
Let u be (-6)/(-4) + (-399)/(-38). What is the first derivative of 11 + u - 29 - 23*x**3 + 8 wrt x?
-69*x**2
Let w(a) = a**5 + a**4 - a**2 + a - 1. Let k(b) = 9*b**5 + 15*b**4 - 105*b**2 + 6*b - 7. Let g(p) = -k(p) + 6*w(p). Find the third derivative of g(y) wrt y.
-180*y**2 - 216*y
Let o(z) be the first derivative of -3*z**7 - 5*z**6/6 - 5*z**3/3 + 397. Find the third derivative of o(h) wrt h.
-2520*h**3 - 300*h**2
Let g(l) be the first derivative of 7/2*l**2 + 1 - 8*l. What is the first derivative of g(r) wrt r?
7
Suppose -12*u - 66 = -u. Let r(x) = 21*x**2 - 6*x. Let w(g) = -20*g**2 + 7*g. Let y(l) = u*r(l) - 7*w(l). What is the second derivative of y(p) wrt p?
28
Find the second derivative of 7*c + 31*c**3 + 2*c - 32*c**3 + 4*c - c - 3*c**2 wrt c.
-6*c - 6
Let k(v) be the third derivative of -v**5/30 + 35*v**3/6 + 86*v**2. Find the first derivative of k(s) wrt s.
-4*s
Suppose y - 2*y - 5 = 0, -3*y = -f + 15. Suppose f = 16*r - 12*r - 328. What is the third derivative of -82*b**5 + r*b**5 - b**6 + 4*b**2 wrt b?
-120*b**3
Let h(w) = w**3 - 10*w**2 + 16*w + 2. Let j be h(8). Find the second derivative of 11*p - 34*p**2 - j*p + 11*p wrt p.
-68
Let p(u) = -17*u**5 - u**4 + 104*u - 6. Let a(t) = -t**5 - t**4 - 1. Let d(o) = -6*a(o) + p(o). Find the second derivative of d(v) wrt v.
-220*v**3 + 60*v**2
Let o(b) be the second derivative of 0*b**2 + 0*b**5 + 0 + 2/5*b**6 - 25*b + 0*b**3 + 7/4*b**4. Find the third derivative of o(i) wrt i.
288*i
Let k(n) = n**2 + 1. Let v(x) = -17*x**2 - x + 26. Let b(f) = 5*k(f) + v(f). What is the derivative of b(r) wrt r?
-24*r - 1
Let x(l) be the first derivative of -23*l**4/2 + 12*l + 14. Find the first derivative of x(k) wrt k.
-138*k**2
Suppose f = 5*s - 0*s - 134, 0 = -3*f - 12. Find the second derivative of s*y**3 - 51*y**3 + 32*y**3 + 19*y wrt y.
42*y
Find the second derivative of -91*v**2 + 28 - 110*v**2 - 4*v - 60*v**2 + 8*v**2 wrt v.
-506
Suppose 0*a - a = -3*x + 7, 5*a + x = 13. What is the second derivative of 27*y + 6485 - 6485 - 27*y**a wrt y?
-54
Let q(d) be the second derivative of d**9/1512 + d**6/36 - 2*d**3 - 5*d. Let g(o) be the second derivative of q(o). What is the third derivative of g(k) wrt k?
120*k**2
Find the third derivative of -154*x**2 - 27*x**6 + 161*x**2 - 48*x**6 wrt x.
-9000*x**3
Suppose -3*w = -5*q - 62, -49 = -w - 4*q - 17. What is the second derivative of w*m**2 + 9*m**2 - 11*m**2 + m wrt m?
44
Let m be (-2)/4 + 5/2. Suppose 3*a - 21 = -3*p, -m*p + 6 - 2 = 0. Find the third derivative of -4*c**5 + 5*c**a + 7*c**2 - 11*c**2 wrt c.
60*c**2
Differentiate 600 + 1073*r**4 + 1189*r**4 - 2537*r**4 with respect to r.
-1100*r**3
Suppose -5*s = 3*g - 31, s - 5*g = 4*s - 25. Find the third derivative of -4*b**5 + 21*b**2 - 8*b**5 + b**5 - 5*b**s wrt b.
-960*b**2
Let r be (1/2)/((-1)/(-6)). Suppose 18 = 4*b + 2*l, -r*b + 7*l = 2*l + 6. Find the second derivative of 6*p**b - 4*p + 0*p + 2*p wrt p.
36*p
Find the third derivative of -56*k**2 + 4*k**5 - 72*k**6 - k**2 - 59*k**6 - 50*k**2 + 13*k**2 - 2 wrt k.
-15720*k**3 + 240*k**2
Let o(h) = 18*h - 8. Let g(l) = l + 1. Let q(j) = 55*j - 22. Let u(f) = -2*g(f) + q(f). Let n(s) = -11*o(s) + 4*u(s). Differentiate n(t) with respect to t.
14
What is the third derivative of 2*a**3 + 2373*a**5 - 2*a**3 - 2860*a**5 - 3 - 32*a**2 + 11*a**2 wrt a?
-29220*a**2
Let v(p) = p - 8. Let x be v(-4). Let c be (82/(-3))/(8/x). Find the second derivative of -c*n + 23*n + 21*n - 12*n**3 wrt n.
-72*n
Let r(j) be the third derivative of 37*j**5/20 + 35*j**4/6 - 35*j**2 - 1. Find the second derivative of r(f) wrt f.
222
Suppose -5*w = -5 - 15. Find the first derivative of a**w + 172*a**3 - 172*a**3 - 4*a**4 - 49 wrt a.
-12*a**3
Let k(w) be the second derivative of 131*w**8/56 - w**4/4 - 7*w**3/3 + 73*w. What is the third derivative of k(m) wrt m?
15720*m**3
Let b(m) be the second derivative of 0*m**4 + 0*m**5 + 0*m**2 + 4/3*m**3 - 32*m + 0 + 11/10*m**6. What is the second derivative of b(i) wrt i?
396*i**2
Let l(o) be the second derivative of 0*o**3 + 5/6*o**4 - 15*o + 0 + 4*o**2. What is the first derivative of l(q) wrt q?
20*q
Find the second derivative of -2*p - 12*p**2 + 14*p**2 + 1 + 25*p**2 + 44*p**2 wrt p.
142
Let b(u) be the third derivative of u**6/24 + 11*u**4/12 + 25*u**2. Let x(h) = -h**3 - h. Let s(y) = -b(y) + 5*x(y). Find the second derivative of s(z) wrt z.
-60*z
Let y(t) = -7*t**2 - 10. Let j = 1 + 1. Let s(b) = -34*b**2 - 49. Let h(m) = j*s(m) - 11*y(m). What is the derivative of h(i) wrt i?
18*i
What is the first derivative of 1270*s**4 - 2387*s**4 + 1179*s**4 + 33 wrt s?
248*s**3
Let v(j) be the third derivative of 1/15*j**6 + 12*j**2 + 1/8*j**4 + 0*j + 0*j**5 + 0*j**3 + 0. What is the second derivative of v(h) wrt h?
48*h
Let x(h) be the th