- 126*t
Let t(v) be the second derivative of 9*v**7/7 - v**5/5 - 485*v**3/3 + v - 1061. Find the second derivative of t(r) wrt r.
1080*r**3 - 24*r
Let r(a) = -2503*a**2 + 2230*a - 5. Let q(y) = 2506*y**2 - 2229*y + 6. Let w(x) = 5*q(x) + 6*r(x). What is the second derivative of w(f) wrt f?
-4976
Let v(x) be the third derivative of -4091*x**6/120 + x**5/30 + 455*x**4/12 + 184*x**2 - 6. What is the third derivative of v(f) wrt f?
-24546
Let k(h) be the third derivative of 563*h**7/10 - 977*h**3/2 + 13095*h**2. Differentiate k(u) wrt u.
47292*u**3
Let q(g) be the second derivative of g**9/2160 - 4*g**5/3 - 185*g**4/12 + 164*g. Let s(y) be the third derivative of q(y). Differentiate s(c) with respect to c.
28*c**3
Let p(h) = 4*h**2 + 53*h - 1007. Let b(l) = -l**2 - l + 1. Let d(j) = 3*b(j) + p(j). Differentiate d(s) with respect to s.
2*s + 50
Let m(l) = 582*l**3 - 2*l**2 + 103*l - 12. Let s(f) = f**3 + 6*f + 2. Let j(o) = m(o) + 6*s(o). Find the third derivative of j(t) wrt t.
3528
Let f(y) be the first derivative of 81*y**6/2 + y**4/2 - 44*y**3/3 - 20*y**2 - 216. Find the third derivative of f(m) wrt m.
14580*m**2 + 12
Let r(f) be the second derivative of -f**6/30 - f**5/5 - 55*f**4/2 - 2*f**3/3 + 57*f**2/2 - 1512*f. Find the second derivative of r(o) wrt o.
-12*o**2 - 24*o - 660
Let q(a) be the second derivative of 89*a**4 + 3155*a**2/2 + 214*a. Differentiate q(z) wrt z.
2136*z
Let l(k) be the third derivative of 5*k**9/252 + k**8/336 + 7*k**6/12 + 483*k**5/4 - 2*k**2 + 316*k + 2. What is the third derivative of l(i) wrt i?
1200*i**3 + 60*i**2 + 420
Let u be 6/(-9) - (-154)/33. What is the derivative of u*k**3 - 12 - k**3 - 2*k**2 + 36 + 5*k**2 wrt k?
9*k**2 + 6*k
Let k(h) be the first derivative of 17*h**3 - 8*h**2 - 325*h + 48. What is the first derivative of k(g) wrt g?
102*g - 16
Suppose 6*r - 6 = 3*r. Suppose -2098 = -5*l + r*d, 4*d + 1 = 5. What is the second derivative of 444*v**4 - l*v**4 - 13*v + 3*v - 2*v wrt v?
288*v**2
Let m = -38 - -41. Suppose m*i - 3 = 3. Find the third derivative of 0*u**4 + 4*u**2 + u**4 + 10*u**i wrt u.
24*u
Let a(t) be the first derivative of 0*t**3 - 179*t - 54 - 1/4*t**4 - 11/2*t**2. What is the first derivative of a(o) wrt o?
-3*o**2 - 11
Let c(q) be the second derivative of 181*q**6/10 + 26*q**3/3 + 5*q**2 + 14*q + 9. Find the second derivative of c(b) wrt b.
6516*b**2
Suppose -45*p = -57*p + 552. What is the derivative of -21 + 77 + p - 200*n + 53 wrt n?
-200
Find the second derivative of -1019*g - 2034*g**5 - 7995*g**2 + 4006*g**2 + 3989*g**2 wrt g.
-40680*g**3
What is the first derivative of -2831 + 2653*h**2 - 1021*h**2 + 2024*h**2 + 3048 wrt h?
7312*h
Let w(t) = t**3 - 5*t**2 + 16*t - 10. Let u be w(4). Let s = u - 34. Differentiate -2*d**s + 22 - 11*d**4 - 10*d**4 + 5*d**4 with respect to d.
-72*d**3
Let x = 10 + 1. Suppose -2*b + x*b = 27. What is the second derivative of 167 - 167 - 6*a - 2*a**b wrt a?
-12*a
Suppose -5*x = -5*c + 25 + 10, 2*c + x = 8. What is the second derivative of 30*n**2 - 2*n + 25 - 7*n**2 + 0*n + c*n**2 wrt n?
56
Let v be ((-6334)/84 + (-18)/189)*-2. What is the second derivative of -v*a**3 + 11*a + 135*a**3 + 34*a wrt a?
-96*a
Let i be (-2)/(-6)*-104 - 2/6. Let u be i/(-14) - (-1)/2. Find the second derivative of 24*j**3 - 5*j - 21*j**u - j wrt j.
18*j
Suppose 4*h - 3*j - 131 = 0, -h - 3*h = 4*j - 152. What is the first derivative of 157*s**4 - h*s + 35*s + 38*s**4 - 15*s**4 - 117 wrt s?
720*s**3
Suppose 3*c + 4*l = 28, 4*c - 8*c = 4*l - 32. Find the second derivative of b**5 + 8*b**c - 3*b**4 - 3*b**4 - 3*b**4 + 17*b wrt b.
20*b**3 - 12*b**2
Differentiate -44 - 96 - 100 - 116 - 50*j - 15 - j**2 with respect to j.
-2*j - 50
Suppose 0 = 14*g - 2*n, 4*g = 3*n - n. Let c(b) be the second derivative of 12*b + 0*b**3 + g*b**5 + 3*b**2 + 0 - 1/5*b**6 + 0*b**4. Differentiate c(a) wrt a.
-24*a**3
Let k(j) be the first derivative of -662*j**2 - 411*j - 521. What is the first derivative of k(t) wrt t?
-1324
Suppose -62 - 2 = -16*h. Suppose h*z - 2*r + 3*r = 9, -2*r - 2 = -2*z. Differentiate z - 3 + 7*a**2 + 2*a**2 wrt a.
18*a
Let i = 593 - 534. Differentiate -28 + 62 + 7 - i*a**3 + 24 with respect to a.
-177*a**2
Let p = 98 + -96. Find the second derivative of 8*w + 4 + 26*w - 31*w**p - 1 - 7*w - 2 wrt w.
-62
Let p(a) = -5935*a**3 - 22*a**2 + 69*a - 4. Let i(o) = 5933*o**3 + 17*o**2 - 69*o + 3. Let q(d) = -4*i(d) - 3*p(d). Find the third derivative of q(w) wrt w.
-35562
Suppose -19 = 4*l - 5*l. Suppose 25*s - 186 = l*s. Find the third derivative of -47*f**6 + s*f**2 - 19*f**3 + 19*f**3 wrt f.
-5640*f**3
Let x(s) be the first derivative of 585*s**4/4 - 934*s - 1474. Differentiate x(q) wrt q.
1755*q**2
Let h(k) = -2*k**2 + 7*k + 1. Let r(v) = -178*v**4 - 8*v**3 + 6*v**2 - 21*v - 1910. Let w(y) = -3*h(y) - r(y). Differentiate w(g) with respect to g.
712*g**3 + 24*g**2
Let z(x) = x**3 + 6*x**2 + 5*x + 11. Let n be z(-5). Let r be (18/(-15))/(4/(-10)). Differentiate n - 15*p**4 + 3*p**4 - r*p**4 with respect to p.
-60*p**3
Let x(o) be the third derivative of -109*o**5/10 + 1349*o**4/24 + o**3/3 + 288*o**2 - 1. What is the second derivative of x(f) wrt f?
-1308
Find the third derivative of -259*w**5 + 16*w - 832 + 133*w**5 - 333*w**5 + 23*w**2 + 832 wrt w.
-27540*w**2
Let i(u) = -17*u**3 + 17*u**2 + 3*u + 11439. Let s(k) = 6*k**3 + 2*k**2 - k + 2. Let p(g) = i(g) + 3*s(g). What is the derivative of p(f) wrt f?
3*f**2 + 46*f
Let b(p) = p + 8. Let g be b(-6). Find the third derivative of 64*c**5 + 55*c**5 + 49*c + 4*c**4 - 118*c**5 - c**g wrt c.
60*c**2 + 96*c
Find the third derivative of 828*a**2 + a**4 + 31*a**3 - 110*a**6 + 243*a**6 - 131*a**6 wrt a.
240*a**3 + 24*a + 186
Find the second derivative of 717*i + 3183*i**4 + 3*i**5 + 4*i**5 + 884*i - 5*i**5 - 281*i wrt i.
40*i**3 + 38196*i**2
Suppose 0*v = -4*v + 8. Let r(h) = -25*h - 659. Let l be r(-27). What is the first derivative of 6 + 2*o**2 - l*o**v - 5 - 2*o**2 wrt o?
-32*o
Let b(u) be the first derivative of 13/6*u**6 + 0*u**2 - 2*u - 4/7*u**7 + 31/3*u**3 + 0*u**5 - 16 + 0*u**4. Find the third derivative of b(h) wrt h.
-480*h**3 + 780*h**2
Let c(t) be the second derivative of -t**7/7 + 47*t**6/30 - 309*t**4/4 + 559*t + 1. What is the third derivative of c(d) wrt d?
-360*d**2 + 1128*d
Find the second derivative of -46*l + l**3 - 2598*l**5 + 969 - 17*l + 31*l + 28*l wrt l.
-51960*l**3 + 6*l
Let q(w) = -4772*w**3 - 2857*w**2 - 11. Let l(h) = -4773*h**3 - 2858*h**2 - 14. Let i(j) = -3*l(j) + 4*q(j). Find the third derivative of i(y) wrt y.
-28614
Let q(o) be the second derivative of -o**5/10 - 103*o**4/4 + 1055*o**3/6 - 2*o - 24. What is the second derivative of q(c) wrt c?
-12*c - 618
Suppose 3*j + 2*j - 4 = -t, 5*t + 30 = 0. Let s(b) = -3*b - 3. Let r be s(-3). What is the third derivative of n**r - n**2 + 0*n**6 - 14*n**2 + 9*n**j wrt n?
120*n**3
Let o(z) be the second derivative of 0 + 2/5*z**5 + 1/4*z**4 - 23*z - 119/6*z**3 + 0*z**2. Find the second derivative of o(g) wrt g.
48*g + 6
Suppose -81 = -y + 4*k - 5*k, 2*y - 5*k - 197 = 0. Find the second derivative of 98*l**5 - 9*l - y*l**5 - 25*l + l**3 wrt l.
240*l**3 + 6*l
Let l(d) be the third derivative of 351*d**6/20 - d**5/15 + 121*d**3/6 - 469*d**2. What is the third derivative of l(m) wrt m?
12636
Let v(t) be the third derivative of 0*t**4 - 61/60*t**5 + 0*t - 2 + 23/3*t**3 + 8*t**2. What is the derivative of v(p) wrt p?
-122*p
Let x(o) be the second derivative of -5*o**6/72 - 5*o**5/8 - o**4/6 + 8*o**2 + 70*o. Let z(c) be the third derivative of x(c). Differentiate z(g) wrt g.
-50
Let x(a) = -a**3 - 7*a**2 - 6*a + 2. Let f be x(-6). Let l(h) = h**3 - 9*h**2 - 33*h + 123. Let p be l(11). Differentiate p - 7 - 19 + 15*i**f wrt i.
30*i
Suppose -4*g = -s - 17, s - 5*s = -4*g + 8. Find the second derivative of 170*d - 370 + 32*d + 370 - 43*d**2 - 4*d**3 + s*d**3 wrt d.
-6*d - 86
Let u(m) = -4 + 8 + 2*m + 5. Let z be u(-3). Find the third derivative of 25*r**z + 8*r**2 - 2*r**2 - 22*r**3 wrt r.
18
Find the second derivative of 119*a**5 - 492*a - 49005*a**3 - 705*a + 49005*a**3 - 926*a wrt a.
2380*a**3
Let r(w) = -2*w**3 + w**2 + 2*w. Let q(y) = -983*y**3 - 1604*y**2 - 2*y + 3. Let h(o) = q(o) + r(o). Find the third derivative of h(s) wrt s.
-5910
What is the first derivative of