 33. Let o(c) = c**3 + c**2. Let k(q) = -m(q) + 4*o(q). Differentiate k(y) wrt y.
4*y**3 - 19
Let r(z) = -z - 5. Let s be r(7). Let u be s + 8 - (-6)/1. What is the derivative of -9 - 31*w**u + 31*w**2 - 6*w**4 wrt w?
-24*w**3
Let k = 13 + -10. Suppose k*i - 6*i + 21 = 0. What is the first derivative of -i + 1 - 2*y**2 + 2 wrt y?
-4*y
What is the third derivative of -12873*p**5 - 6*p**4 + 12866*p**5 + 35*p**2 + 18*p**2 wrt p?
-420*p**2 - 144*p
Let g(b) = 344*b**3 - 116*b**2 + 3. Let d(x) = -3*x**3 + x**2. Let w(p) = -5*d(p) + g(p). Find the third derivative of w(h) wrt h.
2154
Let z(b) = 6*b**3 + 9*b + 63. Let a(t) = 12*t**3 + 17*t + 129. Let v(j) = -6*a(j) + 11*z(j). Find the first derivative of v(w) wrt w.
-18*w**2 - 3
Find the third derivative of 201*n**3 - 3*n - 708*n**2 + 2*n + 690*n**2 wrt n.
1206
Let g be (-15)/(-45) - 412/(-6). What is the second derivative of 36*t**5 - g*t**5 + 47*t**5 + 45*t wrt t?
280*t**3
What is the third derivative of -25*b**6 + 9*b**6 + 2*b**4 + 0*b**2 + 8*b**6 - 67*b**2 - 27*b**6 wrt b?
-4200*b**3 + 48*b
Find the third derivative of 119*g**6 - 41*g**2 + 2 - 59*g**6 + 25*g**6 wrt g.
10200*g**3
Let r(q) = -69*q**3 - 15*q**2 + 139*q + 13. Let c(b) = 34*b**3 + 7*b**2 - 70*b - 6. Let a(y) = 13*c(y) + 6*r(y). What is the second derivative of a(f) wrt f?
168*f + 2
Let j(t) be the first derivative of 23*t**6/30 - 7*t**4/3 + 9*t - 16. Let p(o) be the first derivative of j(o). Find the third derivative of p(y) wrt y.
552*y
Suppose y - 13 - 5 = 0. Let t be (-5)/20 + y/8. Find the third derivative of -2*q**2 - 4*q**2 + 7*q**3 - 2*q**t - 2*q**2 wrt q.
42
Let r(s) be the first derivative of -14*s**5/5 - s**4/4 - 15*s**2/2 - 72. Find the second derivative of r(n) wrt n.
-168*n**2 - 6*n
What is the third derivative of -2786*l**6 - 33*l**2 - 77*l**4 - 29*l**2 - 13*l**2 + 2788*l**6 wrt l?
240*l**3 - 1848*l
Let w(k) be the second derivative of 9*k + 0*k**2 + 0*k**3 - 1/12*k**4 + 0 - 3/20*k**5. Find the third derivative of w(u) wrt u.
-18
Let g = -1 + -7. Let r = 13 + g. Differentiate -3 - 2 + r - 3*f + 2 with respect to f.
-3
Suppose -2*y + d + 17 = 0, -d - 40 = -5*y + 2*d. Suppose -30 = 2*z - 8*z. Find the second derivative of y*p**2 + 0*p**3 - 11*p**2 + z*p**3 + 5*p wrt p.
30*p
Let z(v) be the third derivative of -1/56*v**8 + 0*v**6 + 0 + 14*v**2 + 0*v**3 + 0*v**4 + 0*v + 13/15*v**5 + 0*v**7. What is the third derivative of z(m) wrt m?
-360*m**2
Let c(b) = -502*b**3 + 2*b**2 + 2*b + 353. Let d(n) = -1003*n**3 + 5*n**2 + 5*n + 704. Let s(l) = -5*c(l) + 2*d(l). Find the first derivative of s(h) wrt h.
1512*h**2
Let d(o) be the third derivative of -13/120*o**6 + 0*o**3 + 0*o + 0 - 5/24*o**4 - 16*o**2 + 0*o**5. Find the second derivative of d(j) wrt j.
-78*j
Let h(d) be the first derivative of d**6/15 - d**4/4 - 4*d**2 - 12. Let o(b) be the second derivative of h(b). What is the second derivative of o(q) wrt q?
48*q
Find the third derivative of s - 211*s**5 + 48*s**5 + 71*s**2 - 232*s**2 + 67*s**2 + 76*s**2 wrt s.
-9780*s**2
What is the third derivative of -16*f**2 - 2*f - 3*f - 30*f**5 + 15*f**2 wrt f?
-1800*f**2
Let l(o) be the first derivative of 37*o**4/4 - 7*o**2/2 - 4*o - 72. What is the second derivative of l(c) wrt c?
222*c
Let t(s) = -33*s**3 - 383*s**2 + 16*s - 8. Let i(u) = -11*u**3 - 128*u**2 + 6*u - 3. Let r(n) = 8*i(n) - 3*t(n). Find the third derivative of r(x) wrt x.
66
What is the second derivative of -30*y**3 - 13*y**3 - 2 - 67*y - 2*y**2 + 35*y**3 wrt y?
-48*y - 4
What is the third derivative of -56*n**2 + 0*n**4 + 0*n**4 - 11*n**5 - 1121*n**3 + 1119*n**3 wrt n?
-660*n**2 - 12
Suppose -v - 10 = -4*g, -5*v + 0*g + 2*g + 40 = 0. Let d be (-48)/30*v/(-4). Find the third derivative of 9*l**6 + d*l**3 - 4*l**3 - 18*l**6 + 5*l**2 wrt l.
-1080*l**3
Differentiate 52*n**3 + 23*n**3 + 221*n**3 + 2*n**3 - 3 + 12 with respect to n.
894*n**2
What is the third derivative of -88*m**2 + 189*m**5 - 2*m - 193*m**5 - m + 16*m**2 + 14*m**3 wrt m?
-240*m**2 + 84
Let n(h) = 63*h**3 + 4*h**2 + 3*h. Let x(k) = -64*k**3 - 7*k**2 - 2*k. Let y(r) = 5*n(r) + 6*x(r). Find the third derivative of y(o) wrt o.
-414
Find the second derivative of -3 - 21*g**3 + 105*g**4 + 3 + 18*g**3 + 5*g**3 - 395*g wrt g.
1260*g**2 + 12*g
Suppose 0 = k - 5*k + 2*r + 22, -3*k - 6 = 3*r. Suppose -k*s = -a - 0*a + 17, 3*a + s = 1. Find the first derivative of 2*u**4 + 0 + 2*u - 1 - a*u wrt u.
8*u**3
Let v = -57 - -58. Let f(y) = -y**3 - 1. Let i(m) = 11*m**3 + 28. Let b(d) = v*i(d) + 5*f(d). Differentiate b(n) with respect to n.
18*n**2
Find the second derivative of 10*z**4 + 25*z - 89*z - 2 + 5*z wrt z.
120*z**2
Suppose 3*x - 3 = 3. Find the second derivative of -9*s**2 - 8*s + 9*s**2 + 12*s**x wrt s.
24
Suppose 5*b + 48 - 173 = 5*y, 5*y + 41 = b. Suppose b = 2*o + 5. Differentiate -3 + 6*i + o + 7 - 7 wrt i.
6
Let t(l) = 312*l**4 + 28*l**2 + 2*l + 8. Let m(u) = -416*u**4 - 37*u**2 - 3*u - 11. Let h(o) = 8*m(o) + 11*t(o). What is the third derivative of h(r) wrt r?
2496*r
Suppose 5*p + 5 - 35 = 0. Let c(a) = a - 6. Let u be c(p). Differentiate -y + u*y + 2*y + 1 + 3 with respect to y.
1
Suppose -2*l + 18 = l. Suppose 0 = -g - 28 + 30. What is the derivative of k**g - 2*k**2 - 2*k**2 + k**2 - l wrt k?
-4*k
Let m(u) be the second derivative of -151*u**4/6 + 41*u**3/3 - 2*u**2 + u - 103. What is the second derivative of m(p) wrt p?
-604
Let r(j) = 437*j**4 - 4*j**2 - 3*j - 19. Let s(u) = -u**2 - u - 1. Let h(w) = r(w) - 4*s(w). What is the second derivative of h(b) wrt b?
5244*b**2
Let u(d) = -9*d**2 + 25*d + 2. Let p(j) = -458*j + 284*j + 63*j**2 - 16 + 1. Let t(v) = -2*p(v) - 15*u(v). Find the second derivative of t(g) wrt g.
18
Suppose -3*y - 4 = -19. Find the second derivative of 5*x - 2*x**5 + 0*x**y + 4*x**5 + 2*x**5 wrt x.
80*x**3
Let d = -46 - -64. Suppose -5*r + 4*r = -d. Find the third derivative of 13*m**3 + 4*m**2 - r*m**3 + 0*m**2 wrt m.
-30
What is the second derivative of 6*d - 217*d**4 + 28 - 24*d + 105*d**4 + 8*d - 502*d**4 wrt d?
-7368*d**2
Let i be -4 - (-2 - -1) - 0. Let s(h) = h - 1. Let c(d) = -9*d - 8. Let k(w) = i*s(w) + c(w). Differentiate k(r) wrt r.
-12
Suppose 0 = -v + 3*i - 1, 2*v + 4*i = 18. What is the third derivative of n**3 - v*n**3 - 6*n**3 + 34*n**2 wrt n?
-60
Suppose -5*s - 4*y + 14 = 0, 6*y = 4*s + 3*y - 5. Suppose -3*n = -2*t + 11, -4*t + s*n + 5 = -5. Find the first derivative of 3*u**2 - 6 + 1 + t + 2 wrt u.
6*u
Find the second derivative of 221*b**3 - 220*b**3 + 215*b + 509*b + 5*b**2 wrt b.
6*b + 10
Let f(r) = -27*r**2 - 4*r + 33. Let z = -5 - -16. Let i(c) = -81*c**2 - 11*c + 98. Let m(a) = z*f(a) - 4*i(a). Find the first derivative of m(t) wrt t.
54*t
Suppose 0 = 4*v - 5*v + 4. What is the second derivative of 6*i**v - 3*i - 3*i**4 - 4*i**4 + 2*i wrt i?
-12*i**2
Let u(y) = -y**2 - 7*y. Let k be u(-7). Let g = 4 + k. What is the second derivative of -3*t**g + t**5 - 5*t + t**5 + 3*t**4 wrt t?
40*t**3
Let y(t) be the second derivative of 401*t**5/20 - 2*t**4/3 + 19*t**2/2 + 447*t. What is the third derivative of y(l) wrt l?
2406
Let n(u) be the second derivative of 121*u**7/21 - 99*u**4/2 - 628*u. Find the third derivative of n(k) wrt k.
14520*k**2
Let u(p) be the third derivative of -p**6/40 - 23*p**5/60 + 119*p**4/8 - 2*p**2 + 43. Find the second derivative of u(l) wrt l.
-18*l - 46
What is the second derivative of 99*i**5 - 10*i**3 - 204*i + 6*i**3 + 4*i**3 wrt i?
1980*i**3
Let f(r) be the third derivative of 6*r**2 - 1/30*r**6 - 1/70*r**7 + 0*r**5 - 2*r - 1/3*r**3 + 1/8*r**4 + 0. What is the second derivative of f(x) wrt x?
-36*x**2 - 24*x
Let j(s) = 1068*s**2 - 2*s + 235. Let w(y) = -10*y**2 + y. Let g(q) = j(q) + 4*w(q). What is the second derivative of g(b) wrt b?
2056
Suppose 3*l + 4 = -5. Let z be (-1 - 4/l)*15. Find the second derivative of 5*f**2 - 4*f - 4*f**z - 5*f**2 + 2*f wrt f.
-80*f**3
Let z(m) be the third derivative of -22*m**4/3 + 94*m**3/3 - 73*m**2. Differentiate z(h) wrt h.
-176
Let p be (-9)/(-6)*16/12. What is the third derivative of -p*m + 11*m**2 + 73*m**3 + 2*m - 67*m**3 wrt m?
36
Let y(f) = -f**2. Let d be y(0). Suppose -2*o + 2*j = -o - 8, d = -3*o + j + 14. What is the first derivative of -z**o - 3*z**4 + 2*z**3 + 4 - 2*z**3 wrt z?
-16*z**3
Let r(k) be the third derivative of 0*k**3 + 0 +