 = -288*s**4 - 16*s**2 - 54*s - 1. Let i(z) = -578*z**4 - 37*z**2 - 108*z - 3. Let o(p) = 6*i(p) - 14*y(p). Find the second derivative of o(a) wrt a.
6768*a**2 + 4
Let u(b) be the first derivative of -b**2/2 + 15*b + 19. Let x be u(4). What is the second derivative of 13*y**4 - 2*y + 3*y**4 - x*y + 3*y wrt y?
192*y**2
Find the third derivative of 3805*m**2 - 98*m**3 - 7*m**6 - m + m - 4*m**6 - 1545*m**2 wrt m.
-1320*m**3 - 588
Suppose -i - 3*n = -37, -5*i + 4*n + 100 = -i. What is the third derivative of -3 + i*s**3 + 6*s**2 - 5 - 9*s**2 wrt s?
168
Let x(r) = 185*r**4 + 53*r**3 - 522*r. Let l(a) = 31*a**4 + 9*a**3 - 87*a. Let c(g) = 13*l(g) - 2*x(g). Find the second derivative of c(w) wrt w.
396*w**2 + 66*w
Let p(u) = -38*u**2 + 9*u - 3. Let d be (-3 + 1 + 1 + 2)/(-1). Let s(c) = c. Let y(z) = d*p(z) + 2*s(z). Find the second derivative of y(w) wrt w.
76
Let r(y) be the third derivative of y**7/210 - 61*y**6/20 + y**5/30 - 3653*y**3/6 + 86*y**2 - y - 1. What is the derivative of r(i) wrt i?
4*i**3 - 1098*i**2 + 4*i
Let x(n) = 9*n**3 + 2*n**2 + n + 1. Let k(q) = -5026*q**3 + 10*q**2 + 5*q + 3996. Let m(h) = k(h) - 5*x(h). Differentiate m(y) wrt y.
-15213*y**2
Let h(i) be the first derivative of 0*i**2 + 90*i + 0*i**3 - 45/4*i**4 + 43. Differentiate h(q) with respect to q.
-135*q**2
Let w = 1317 - 1317. Let j(z) be the first derivative of -3*z**4 - 13 + w*z**2 - 20/3*z**3 + 0*z. What is the third derivative of j(m) wrt m?
-72
Let z(u) be the second derivative of 0*u**4 + 0*u**3 + 0*u**5 + 48*u + 0 - 59/30*u**6 + 27*u**2. What is the derivative of z(v) wrt v?
-236*v**3
Suppose -13 + 28 = 5*r. Let l(v) be the first derivative of 29 + r*v + 2 - 1 + 8*v**2 + 5*v. What is the derivative of l(g) wrt g?
16
Let a(v) be the third derivative of 422*v**6/15 + 3365*v**4/24 + 18*v**2 + 35. What is the second derivative of a(s) wrt s?
20256*s
Find the second derivative of 480*d - 3*d**3 + d**3 + 312*d**2 - 52*d + 245*d wrt d.
-12*d + 624
Let d(x) = 76*x + 148. Let v(s) = -149*s - 296. Suppose -17*q - 16 - 18 = 0. Let c(k) = q*v(k) - 5*d(k). Find the first derivative of c(j) wrt j.
-82
Let t(q) be the third derivative of 25*q**2 - 17/6*q**3 + 1/24*q**6 - 1/210*q**7 + 0*q**4 + 4*q + 1/20*q**5 + 0. Find the third derivative of t(v) wrt v.
-24*v + 30
Let m(r) be the first derivative of 1/3*r**3 - 3*r**2 + 41/2*r**4 - 103 + 0*r. Find the third derivative of m(l) wrt l.
492
Let t(v) be the third derivative of 103*v**9/42 - 1057*v**5/12 - 89*v**2 - 2*v. What is the third derivative of t(b) wrt b?
148320*b**3
Find the second derivative of -22643*t - 3*t**2 + 21585*t + 2*t**2 + 182*t**3 wrt t.
1092*t - 2
Let y(t) be the first derivative of 2768*t**5/5 + 29*t**3/3 + 4*t + 1258. What is the third derivative of y(m) wrt m?
66432*m
Let q(o) = -o**2 - 12*o + o**3 + 6*o**2 + 6 + 16*o. Let f be q(-4). What is the third derivative of x**f + 78*x**2 - 96*x**2 + 25*x**6 wrt x?
3120*x**3
Let i(a) = 430*a**4 - 80*a**3 - 10*a - 23797. Let n(k) = 215*k**4 - 32*k**3 - 4*k - 11899. Let g(z) = 2*i(z) - 5*n(z). Differentiate g(c) with respect to c.
-860*c**3
Let k(b) be the second derivative of -5837*b**5/10 - 7*b**4/2 + 5*b**3/6 - 541*b. Find the third derivative of k(s) wrt s.
-70044
Let r(k) be the first derivative of 0*k + 49/2*k**4 - 121/3*k**3 + 0*k**2 - 60. Find the third derivative of r(w) wrt w.
588
Let y(g) = 33*g**4 - 20*g**2 - 101*g + 6. Let h(w) = -w**4 - 2*w**2 - w + 1. Let m(a) = -9*h(a) + y(a). Find the second derivative of m(x) wrt x.
504*x**2 - 4
Let w(l) = 16*l**4 - 68*l**3 + 10*l**2 - 22*l + 8280. Let n(a) = a**4 + a**2 - 2*a + 2. Let x(q) = -10*n(q) + w(q). Find the first derivative of x(v) wrt v.
24*v**3 - 204*v**2 - 2
Let l(r) be the first derivative of 0*r**2 - 1/3*r**6 + 51 + 2*r**5 + 0*r + 56/3*r**3 + 0*r**4. Find the third derivative of l(h) wrt h.
-120*h**2 + 240*h
Let r(h) = -h**2 + 8*h - 7. Let f be r(10). Let l = 40 + f. Differentiate 28 - l*o**4 + 14 - 24 wrt o.
-52*o**3
Let k be 90/(-36) - (-9)/2. Suppose -2*t + 4*y = -20, 2*t = 4*t + 3*y - 55. Find the first derivative of t + 43*l**k - 54*l**2 - 32*l**2 + 4 wrt l.
-86*l
Let o(s) = 23606*s**3 - 69373*s**2 - 17. Let v(j) = -16860*j**3 + 49552*j**2 + 12. Let a(g) = -12*o(g) - 17*v(g). What is the third derivative of a(k) wrt k?
20088
Find the third derivative of -916*z**4 - 915*z**4 + 758*z**3 + 4*z - 4*z + 10038*z**2 + 1834*z**4 wrt z.
72*z + 4548
Let d(c) be the second derivative of -1877*c**7/14 + 1259*c**3/6 - 293*c - 11. Find the second derivative of d(x) wrt x.
-112620*x**3
Let q(w) = -64*w**2 + 8*w - 10. Let s = 59 - 56. Let i(a) = 65*a**2 - 8*a + 9. Let t(u) = s*q(u) + 4*i(u). Find the second derivative of t(j) wrt j.
136
Suppose -3*j = 5*w - 25, -4*j + 24 = 3*w - w. Find the second derivative of 2*s**4 - 5*s**3 + w + 11*s + s**4 - 8*s**4 wrt s.
-60*s**2 - 30*s
Let m(u) be the first derivative of 95*u + 0*u**3 - 85 + 0*u**2 + 1/5*u**5 - 33/4*u**4. Differentiate m(n) with respect to n.
4*n**3 - 99*n**2
Let s(i) = -i**2 + 31. Let g be s(10). Let r = g - -79. Differentiate -r*o + 3 + 9*o + 1 - o with respect to o.
-2
Suppose 3*z = -12 + 108. What is the second derivative of 116*a - z*a + 2*a**4 + a**2 - 34*a**2 wrt a?
24*a**2 - 66
Let n(p) be the third derivative of 1/8*p**4 - 7 - 2*p**2 + 0*p - 1/6*p**3 - 7/20*p**6 + 0*p**5. Find the second derivative of n(x) wrt x.
-252*x
Suppose -3*q = w + 86, 3*q + 2*w + 76 + 15 = 0. Let v be -4*1/6*q. Find the second derivative of -v*f**5 - 32*f**3 + 32*f**3 - 13*f wrt f.
-360*f**3
Differentiate -930 - 1409 + 3194 + 1551*y - 1299 wrt y.
1551
Let u = 50 - 53. Let s(f) = -10*f - 23. Let m be s(u). What is the second derivative of -25*l + 14*l + m*l**3 + 9*l wrt l?
42*l
Let g = 195 - 161. What is the first derivative of -3 + g*y**2 - 65*y**2 + 31*y**2 + 41*y**4 wrt y?
164*y**3
Let p(g) = 1697*g**5 - 4*g**3 - 2213*g**2 - 2. Let a(c) = 2*c**3 + 2*c**2 + 1. Let r(z) = 2*a(z) + p(z). Find the third derivative of r(f) wrt f.
101820*f**2
Let i = 957 + 232. Differentiate -1115*l**3 + i*l**3 + 2*l**2 + 173 - 36 with respect to l.
222*l**2 + 4*l
Let g be 2 + 11 - (-9 + (-20)/(-2)). Find the second derivative of 32*q**2 + 0 - g*q - 58*q**2 - 96*q**2 + 0 wrt q.
-244
Let y(k) be the first derivative of -7/2*k**2 + 5/4*k**4 + 25 + 0*k**3 + k. Find the first derivative of y(p) wrt p.
15*p**2 - 7
What is the third derivative of -57*y**4 + 2*y**6 + 62*y**4 + 3052*y**2 - 737*y**2 + 44*y**5 + y**5 wrt y?
240*y**3 + 2700*y**2 + 120*y
Let p(n) = 32*n - 129. Let h be p(5). What is the second derivative of -17 - h + 13*b**3 - 2*b + 63 wrt b?
78*b
Let f(s) = 6634*s**2 - 14477. Let j(t) = 3323*t**2 - 7236. Let i(c) = -6*f(c) + 11*j(c). What is the first derivative of i(m) wrt m?
-6502*m
What is the derivative of -6465 - 691*s**2 + 8923*s**2 + 4345 + 3573 wrt s?
16464*s
Suppose 11*h - 15 = 8*h. Let w(c) = c**2 - 9*c + 22. Let t be w(h). Find the second derivative of 430*g**2 - 430*g**t + 33*g + 41*g**5 wrt g.
820*g**3
Find the third derivative of 202*p**3 + 1089*p**2 - 74*p**3 + 135*p**3 + 2*p**4 + 85*p**3 wrt p.
48*p + 2088
Let s(q) be the first derivative of -q**4/4 + 115*q**3/3 - 312*q + 11. Differentiate s(u) with respect to u.
-3*u**2 + 230*u
Suppose -j = -v + 10 - 4, 0 = -v + 5*j + 14. Find the first derivative of 126 + 34 - 37 + 40*c**4 + 84*c**v wrt c.
496*c**3
Let c(q) be the first derivative of -8*q**5 + 0*q**4 - 140*q + 0*q**2 - 175 - 2/3*q**3. Differentiate c(g) wrt g.
-160*g**3 - 4*g
Let i(t) be the second derivative of 0 + 1/3*t**3 + 0*t**4 - 24*t - t**2 - 113/20*t**5. Find the second derivative of i(x) wrt x.
-678*x
Let x(j) = 76*j**2 - 22*j - 6015. Let g(t) = 75*t**2 - 13*t - 6017. Let r(u) = 3*g(u) - 2*x(u). Differentiate r(c) wrt c.
146*c + 5
Let a = 415 - 413. Let g(w) = -96*w**2 + 2*w - 14. Let d(l) = 97*l**2 - 3*l + 11. Let f(h) = a*g(h) + 3*d(h). Find the second derivative of f(b) wrt b.
198
What is the third derivative of 4283*y**3 - 2507*y**2 - 952*y**3 + 2661*y**3 wrt y?
35952
Let n(j) = 1116*j**3 - 610*j**2 + 6*j. Let c(p) = p**2 + 3*p. Let y(f) = -6*c(f) + 3*n(f). What is the third derivative of y(g) wrt g?
20088
Let b = 23 + -22. Suppose -t = -b - 2. Differentiate -z**t - 3*z**3 - 2*z**3 - 3*z**3 - 17 wrt z.
-27*z**2
Suppose 0 = -5*w - r + 10 + 276, w = -2*