t d(b) be the third derivative of b**6/120 - b**5/24 + 2*b**4/3 - 31*b**2. Let h(z) be the second derivative of d(z). What is the derivative of h(q) wrt q?
6
Find the first derivative of 355*n**2 - 4360 + 1745 + 243*n**2 + 1595 wrt n.
1196*n
Let f(d) = 7030*d - 818. Let s(z) = -6940*z + 817. Let n(j) = 2*f(j) + 3*s(j). Find the first derivative of n(u) wrt u.
-6760
What is the second derivative of 996 - 397*i**2 - 124*i**2 - 489*i**2 - 11*i - 1022 wrt i?
-2020
Suppose 0 = 8*b - 46 - 26. Find the second derivative of -62*l**4 - 21*l + 1 - l - b*l**4 wrt l.
-852*l**2
Let i(d) be the third derivative of -149*d**5/10 + 941*d**4/6 + 6482*d**2. Find the second derivative of i(p) wrt p.
-1788
Let u(y) = -321*y**3 + 29*y**2 + 13*y - 1375. Let a(x) = -107*x**3 + 10*x**2 + 4*x - 459. Let d(t) = 7*a(t) - 2*u(t). Find the second derivative of d(g) wrt g.
-642*g + 24
Let j be (-48)/(-9)*(-18)/(-12). Suppose -3*s - v = -124 - 11, 0 = s + 2*v - 40. What is the second derivative of s*h**3 - 17*h**3 + j*h + 3*h + 7*h wrt h?
174*h
Let m(u) = -1937*u**5 - 7*u**4 + 7*u**2 - 5*u - 36. Let w(r) = r**5 + r**4 - r**2 + r + 1. Let p(j) = -m(j) - 7*w(j). Find the second derivative of p(a) wrt a.
38600*a**3
Find the second derivative of -10389*k - 15*k**3 + 14*k**3 - 2416*k**2 - 4560*k**2 wrt k.
-6*k - 13952
Let t(a) be the first derivative of -18*a**6 - 3*a**3 - a**2 - 9*a - 948. What is the second derivative of t(x) wrt x?
-2160*x**3 - 18
Let w = -19 - -23. Suppose 36 = w*l - 48. Find the third derivative of -l*f**3 + 15*f**4 + 2*f**2 + 21*f**3 wrt f.
360*f
Let l(w) = w**5 - w**4 - w**3 - w**2 - w. Let z(r) = -48*r**4 + 2*r**3 - 1702*r**2 + 2*r. Let d(p) = -2*l(p) - z(p). Find the third derivative of d(k) wrt k.
-120*k**2 + 1200*k
Let p(r) be the first derivative of -198/5*r**5 + 0*r**4 - 102 + 0*r**2 + 0*r**3 + 111*r. Differentiate p(s) wrt s.
-792*s**3
Let z(c) = c**2 + 9*c + 9. Let v be z(-11). Suppose -4*m = -v - 161. Find the first derivative of -20 + m - b**3 + 30*b**3 wrt b.
87*b**2
Suppose -190 = -8*m - 110. What is the derivative of 12*v + 70 + 10*v - v**4 - 24*v - 16*v**4 - m*v**4 wrt v?
-108*v**3 - 2
Let v(c) be the first derivative of 12*c**5 + 2*c**3/3 + 2482*c**2 - 3816. What is the second derivative of v(u) wrt u?
720*u**2 + 4
Let z(o) = 2*o**2 - 25*o - 11. Let y be z(13). Suppose 0 = 2*a - 2*l + 2, -3*l + 12 = -y*a + l. Differentiate 6*k**a + 5 + 40 - 16 wrt k.
24*k**3
Let o(g) = 6243*g**2 - 26*g + 4. Let u(p) = -p**2 - 15*p + 1. Let q(a) = -o(a) + 6*u(a). What is the second derivative of q(s) wrt s?
-12498
Let z(v) = -2*v**2 + v. Let m(y) = -27*y**3 + 2*y**2 + 70*y - 6323. Let o(j) = -m(j) - z(j). What is the derivative of o(d) wrt d?
81*d**2 - 71
What is the first derivative of 9*r - 1348 + 797 + 150*r + 39*r + r**2 - 538 wrt r?
2*r + 198
What is the second derivative of -731*b**2 + 3*b**5 + 1 + 1405*b**3 - 1 - 1405*b**3 - 3879*b wrt b?
60*b**3 - 1462
Let k(d) be the first derivative of -2650*d**7/7 - 22*d**3 + 5*d - 650. Find the third derivative of k(u) wrt u.
-318000*u**3
Let j(u) be the first derivative of u**8/280 + u**7/840 + 29*u**4/3 + 31*u**3/3 - 27. Let x(t) be the third derivative of j(t). Differentiate x(k) wrt k.
24*k**3 + 3*k**2
Let x(l) = -l**3 + 22*l**2 - l + 31. Let w be x(22). Suppose t = 5*a + w, 0*a - 57 = -3*t + 5*a. Differentiate t*o - o - 15 + 2*o - 24 with respect to o.
25
Let u(p) be the third derivative of 0*p + 11/20*p**5 + 0*p**6 - 13*p**2 + 1/15*p**7 + 0 + 0*p**4 + 1/6*p**3. Find the third derivative of u(k) wrt k.
336*k
What is the derivative of -25*s**3 + 3587*s**2 - 1806*s**2 - 1808*s**2 + 3928 wrt s?
-75*s**2 - 54*s
Let f(g) be the third derivative of -g**7/210 - 133*g**6/120 - 1061*g**5/60 - g**3/3 - 68*g**2 - 6. Find the third derivative of f(k) wrt k.
-24*k - 798
Let l(h) = h**3 + 5*h**2 - 7*h - 6. Suppose -4*s + 24 = -8*s. Let r be l(s). Find the third derivative of 6*m**2 - 117*m**6 + 0*m**4 + r*m**4 + 125*m**6 wrt m.
960*m**3
Find the third derivative of 2*g - 283*g**3 - 3 + 585*g**3 - 193*g**3 - 5*g**4 - 3*g**2 - 104*g wrt g.
-120*g + 654
Let y(q) = 7637*q**2 + 2*q - 8612. Let s(f) = 38184*f**2 + 11*f - 43059. Let g(v) = 2*s(v) - 11*y(v). What is the first derivative of g(o) wrt o?
-15278*o
What is the first derivative of -103 + 1090*n - 2103*n + 3102*n - 1619 wrt n?
2089
Let z(f) = 1782*f**3 + 15*f**2 - 10*f + 1763. Let p(j) = -j**3 + 3*j**2 - 2*j. Let k(i) = -5*p(i) + z(i). What is the derivative of k(r) wrt r?
5361*r**2
Let h(q) be the first derivative of 1035*q**4/2 - 1712*q**3/3 - 512. What is the third derivative of h(r) wrt r?
12420
What is the second derivative of -1173*y**3 + 512*y**3 + 7*y**2 - 6022*y + 572*y**3 wrt y?
-534*y + 14
Let k(t) be the third derivative of 551*t**6/15 + 613*t**5/60 + 2*t**2 + 984. Find the third derivative of k(r) wrt r.
26448
Suppose 3*v + 5*g = -13, 5*g = 2*v + g - 28. Let o be -4*v/(-16) + 2. What is the first derivative of -13*p + p - o - 14 wrt p?
-12
Let y(i) = 2*i**3 - i**2 + i - 9. Let n(q) = 169*q**3 - q**2 - 565*q + 9. Let x(c) = -n(c) - y(c). What is the third derivative of x(s) wrt s?
-1026
Let w(x) be the first derivative of -37/2*x**2 - 104*x - 88 - 1/3*x**3. Find the first derivative of w(t) wrt t.
-2*t - 37
Let f(w) = w**2 + 13*w - 12. Let z = -20 + 6. Let h be f(z). Find the first derivative of 17 - 26*q**h + 20 - 5 wrt q.
-52*q
Let k = 54 - 50. Suppose -y + 1 = 3*z - 2*z, z = -k*y + 7. Differentiate 11 + 0*s**2 + 0*s**y + 7*s**4 - 10*s**4 with respect to s.
-12*s**3
What is the second derivative of -466 - 20*w**4 - 25*w**3 - 473 + 931 - 75*w + 5*w**4 wrt w?
-180*w**2 - 150*w
Find the third derivative of -g**3 - 20831*g**2 + 108*g + 20842*g**2 + 107*g**5 - 3051*g**5 wrt g.
-176640*g**2 - 6
Find the third derivative of 71*s**5 - 710*s**4 + 17*s**4 - 70*s**5 - 324*s**2 + 1376*s**2 wrt s.
60*s**2 - 16632*s
Suppose 5*i - 10 = -0. Let h be (i/7)/((-3)/(-21)). What is the second derivative of -6*t**h - 19*t + 7*t + 14*t**3 + 6*t**2 wrt t?
84*t
Let a(l) be the second derivative of l**6/15 - l**5/10 - 25*l**4/3 + 4133*l**3/6 + 1679*l + 2. What is the second derivative of a(c) wrt c?
24*c**2 - 12*c - 200
Suppose -489*y + 237*y = -231*y. Let x(f) be the first derivative of 0*f + 6*f**2 + 13/2*f**4 - 31 + y*f**3. What is the second derivative of x(d) wrt d?
156*d
Let d(z) = -z**3 + 4*z**2 + z - 2. Let o be d(1). What is the second derivative of -3*k**3 - o + 27*k**3 + 10*k - 5*k - k wrt k?
144*k
Let x(y) be the first derivative of 0*y + 0*y**3 - 107/4*y**4 - 55/2*y**2 + 309. What is the second derivative of x(h) wrt h?
-642*h
Suppose -4*d = -5*d + 19. Find the second derivative of 45*h**5 + d*h - 8421*h**3 + 8421*h**3 + 1 wrt h.
900*h**3
Let w(k) = -324*k**6 + 10*k**5 + 8*k**3 + 2*k**2. Let s(h) = -2*h**6 - h**5 - h**3 - h**2. Let a(l) = 8*s(l) + w(l). What is the third derivative of a(o) wrt o?
-40800*o**3 + 120*o**2
Let o(z) be the third derivative of 17*z**6/6 + z**4/8 - 6*z**3 - 381*z**2. Find the second derivative of o(c) wrt c.
2040*c
Let g(d) = 1756*d**3 - 3*d + 48. Let x(p) = 1755*p**3 - 2*p + 50. Let z(t) = 2*g(t) - 3*x(t). Find the first derivative of z(q) wrt q.
-5259*q**2
Let c(o) be the third derivative of o**5/60 + 55*o**4 + 4951*o**3/6 + 16*o**2 + 62*o. Differentiate c(l) wrt l.
2*l + 1320
Let y(q) = 324*q**2 - 6*q - 969. Let g(c) = -645*c**2 + 13*c + 1936. Let z(r) = 6*g(r) + 13*y(r). Find the first derivative of z(v) wrt v.
684*v
Differentiate 122*i**3 + 228 - 24*i**3 - 4*i**3 - 52*i**3 with respect to i.
126*i**2
Let y be 21/(-35)*(0 + -5 + 0). What is the second derivative of 133*t**4 + y - 121*t - 3 - 140*t**4 wrt t?
-84*t**2
Let y be 30/25*1350/12. Find the second derivative of -49*u - y*u**3 + 3*u - 39*u - 13*u wrt u.
-810*u
Let v(u) be the first derivative of 281*u**6/6 - 3*u**4/4 - 1352*u**3/3 - 891. Find the third derivative of v(w) wrt w.
16860*w**2 - 18
Find the third derivative of -6228*o**6 - 21*o**2 - 22*o**2 + 44*o**2 + 171 + 106 + 2*o + 50 wrt o.
-747360*o**3
Differentiate -3670*g**3 + 2*g + 1457*g**3 - 1315*g**3 - 2*g + 9541 wrt g.
-10584*g**2
What is the second derivative of 535*y + 792*y + 2309*y - 11909*y**2 + 8941*y - 399*y**2 wrt y?
-24616
Let s be (2552/(-24))/((-11)/33). Find the first derivative of -60*q + 118*q - 54*q**2 -