8*w**2 + w + 2400. Find the first derivative of r(h) wrt h.
19104*h**2 - 2*h
Let k(g) be the third derivative of 1/30*g**6 + 55 + 0*g**4 - 2*g**2 + 0*g - 1/30*g**5 - 43/3*g**3. What is the first derivative of k(y) wrt y?
12*y**2 - 4*y
Let t be 1 - -1 - (-6 + -103). Find the third derivative of -1065*s**5 + 1048*s**5 + 2*s**4 - t*s**2 - 7*s**4 wrt s.
-1020*s**2 - 120*s
Let n(k) = -k**3 + 16*k**2 - 16*k. Let d be n(15). Let l = 26 + d. What is the second derivative of -l*r + 28*r**5 - 19*r + 8*r**5 wrt r?
720*r**3
Find the first derivative of -2537*c**4 + 212 - 352 - 4773 wrt c.
-10148*c**3
Let s be (-8)/(-28) - (-509)/7. Suppose -2*x = 4*w - 7*w + 15, -3*w = 3*x. Differentiate 23 - g - 102*g**w + g + s*g**3 wrt g.
-87*g**2
Let z(b) = 132*b**3 + 4*b**2 - 10*b + 457. Let l(a) = 2*a**3 + 2*a + 1. Let h(u) = 6*l(u) + z(u). What is the second derivative of h(j) wrt j?
864*j + 8
Let w(t) = -t - 1. Let o = -23 - -25. Suppose f = -o + 7. Let y(x) = -14*x**2 - 11*x + 5. Let i(k) = f*w(k) + y(k). What is the second derivative of i(c) wrt c?
-28
Let p(l) be the first derivative of -11*l**5 + 7*l**3 + 73*l**2 + 4*l + 4144. What is the second derivative of p(n) wrt n?
-660*n**2 + 42
Let q(n) be the third derivative of -557*n**6/60 - 155*n**3/2 - 797*n**2. What is the derivative of q(i) wrt i?
-3342*i**2
Suppose 0 = -3*n + 2*p + 593, 0*p = -4*n + 3*p + 790. What is the first derivative of 41*u + n - 40*u + 57*u + 99*u wrt u?
157
Let z(q) = 5 + 6*q - 3 + 1 + 2. Let r be z(0). What is the derivative of -26*s**4 + r + s**4 + 18 wrt s?
-100*s**3
What is the second derivative of -2*v**2 - 8*v - 10 - v**5 + 19*v**2 + 5*v**5 + 9 - v wrt v?
80*v**3 + 34
Let v = -381 + 386. Differentiate 5*h**2 + 3 + 40 + 0*h**2 - 145*h**4 - v*h**2 wrt h.
-580*h**3
Suppose 3*j + 3*h = -4 - 11, 0 = 3*j - h - 1. Let t be (2 - 3)*j*2. What is the first derivative of -t + 6 + 2 + 11*s**3 - 3 wrt s?
33*s**2
Let v(w) be the second derivative of 1/4*w**5 + 0*w**2 + 1/14*w**7 + 0*w**4 - 1 - 52/3*w**3 - 3*w + 0*w**6. What is the second derivative of v(p) wrt p?
60*p**3 + 30*p
What is the second derivative of -787 + 2*d - 597*d**4 + 7424*d**2 + 2982*d**4 + 7427*d**2 - 14851*d**2 wrt d?
28620*d**2
Let l(f) = f**3 - f**2 + 2*f. Let b(c) = 3*c**4 + 20*c**3 - 9*c**2 + 18*c - 189. Let x(s) = 2*b(s) - 18*l(s). Differentiate x(o) with respect to o.
24*o**3 + 66*o**2
Let q(d) be the first derivative of 908*d**5/5 + 2737*d**3/3 + 1642. What is the third derivative of q(x) wrt x?
21792*x
Let f(b) = 16867*b**3 + 51*b**2 + 9*b + 878. Let k(h) = 4217*h**3 + 12*h**2 + 2*h + 219. Let g(l) = -4*f(l) + 17*k(l). Find the second derivative of g(i) wrt i.
25326*i
Let d(m) = 17*m**3 - 4*m**2 + 4*m - 132. Suppose -40*o + 21*o = 19. Let h(c) = c**3 + c**2 - c - 1. Let i(b) = o*d(b) - 4*h(b). Differentiate i(n) wrt n.
-63*n**2
Let l(p) = 2894*p**3 - 2629*p**2 - 5. Let s(t) = 2894*t**3 - 2628*t**2 - 4. Let u(i) = -4*l(i) + 5*s(i). What is the third derivative of u(q) wrt q?
17364
What is the derivative of -9*i + 402*i + 38 - 146 + 1105*i - 50*i wrt i?
1448
Let j(z) = 7*z**2 + 15*z + 37. Let d be j(-30). Find the third derivative of 35*v**4 - 5887*v**3 - 191*v**2 + d*v**3 wrt v.
840*v
Let z(m) = -92*m - 46. Let j be z(-13). Let t be -3 + j/((-5)/(-1)). What is the second derivative of 227 - t - 6*q - 22*q**3 wrt q?
-132*q
Let l(y) = -2641*y**2 - 1615. Let s(w) = -7923*w**2 - 4852. Let v(u) = 7*l(u) - 2*s(u). Differentiate v(x) wrt x.
-5282*x
Let u(v) be the third derivative of -97/120*v**6 + 0*v**5 + 0 + 68*v**2 + 0*v + 0*v**3 + 19/12*v**4. What is the second derivative of u(y) wrt y?
-582*y
Let r(z) be the second derivative of 361*z**6/10 - z**4/6 + 13*z**3/6 - 2*z**2 + 69*z + 1. What is the third derivative of r(f) wrt f?
25992*f
Let v(n) be the first derivative of 223 + 0*n**3 + 151/2*n**2 + 71*n**4 - n. What is the second derivative of v(o) wrt o?
1704*o
Let l(c) = 5*c - 3. Let m(x) = 1084*x**3 - 1213*x**2 + 15*x - 9. Let k(v) = 3*l(v) - m(v). What is the third derivative of k(s) wrt s?
-6504
Let g = 409 + -403. What is the second derivative of g*o**2 + 258*o + 37*o**2 - 375*o + 41*o**2 wrt o?
168
Differentiate 165*p - 329*p + 164*p - 423*p**3 + 2242 wrt p.
-1269*p**2
Let u = -361 - -363. Let p = 23 - -1. What is the third derivative of -48*m + 24*m + p*m - 10*m**u - 39*m**5 wrt m?
-2340*m**2
Let s(z) = 3742*z**2 + 9*z - 389. Let k(n) = 3743*n**2 + 12*n - 390. Let j(w) = 3*k(w) - 4*s(w). What is the derivative of j(t) wrt t?
-7478*t
Let r = 19 - 15. Let q be (10 - r)*6/4. What is the second derivative of q*m + 45*m**3 - 31*m**3 + m wrt m?
84*m
Let u(k) be the first derivative of k**4 + 244*k**3/3 - 6*k**2 - 35*k + 1194. What is the second derivative of u(v) wrt v?
24*v + 488
What is the second derivative of -n**2 - 1 + 1325*n + 215*n + 3*n**2 + 5673*n**3 - 4640*n**3 wrt n?
6198*n + 4
Let o(d) = -6 - 6 - d**2 + 5*d + 11. Let k be o(4). What is the derivative of 13 - 2 - 8*v**4 + 12*v**k - 12*v**3 wrt v?
-32*v**3
Let h(f) be the third derivative of 0*f - 7/8*f**4 + 0*f**5 + 59/120*f**6 - 3*f**2 + 1/3*f**3 + 0. Find the second derivative of h(r) wrt r.
354*r
Let f(s) = 3284*s - 2821. Let b(a) = 3283*a - 2799. Let c(z) = 6*b(z) - 5*f(z). What is the first derivative of c(n) wrt n?
3278
Let z(n) be the second derivative of -55/2*n**2 - 86*n + 7/5*n**5 + 0 + 0*n**4 + 1/3*n**3. What is the second derivative of z(m) wrt m?
168*m
What is the second derivative of 51*r**4 - 69*r + 15*r**2 + 317*r**4 + 249*r**4 - 116*r**4 - 16*r**2 wrt r?
6012*r**2 - 2
Let m(h) be the second derivative of 2717*h**6/30 + 3969*h**2 + 37*h + 20. Differentiate m(y) wrt y.
10868*y**3
Let n(i) = i**2 - 6*i + 9. Let r be n(5). Suppose -20 = -r*b, 3*b + 17 = y + 6*b. Find the third derivative of -8*f**2 - 8*f**y - 14*f**3 + 8*f**2 wrt f.
-84
Let b(j) = -16*j**4 - 18*j**3 + 24*j**2 - 6*j - 3. Let t(f) = -13*f**2 - f + 1. Let h(a) = b(a) + 3*t(a). What is the third derivative of h(w) wrt w?
-384*w - 108
Let k(t) be the first derivative of 1331*t**2/2 + 1605*t - 1363. Differentiate k(f) wrt f.
1331
Let j(l) = -2268*l**2 - 2354*l. Let f(b) = -2*b**2. Let a(q) = -2*f(q) - j(q). Find the second derivative of a(o) wrt o.
4544
Let t = 4590 - 4590. Let p(r) be the third derivative of t*r**3 + 0 + 20*r**2 - 3/10*r**5 + 0*r**4 + 2/15*r**6 + 0*r. Find the third derivative of p(j) wrt j.
96
Let a(v) = -2401*v**2 + 4907. Let s(l) = 1200*l**2 - 2452. Let g(p) = -3*a(p) - 7*s(p). Find the first derivative of g(f) wrt f.
-2394*f
Let p be (-5)/(3/(-7 - -4)). Suppose -3*i = v - 0*v - 6, -3*v = p*i - 14. What is the third derivative of 4*y**2 + 25*y**4 + 16*y**3 - 16*y**v wrt y?
600*y
Let l = 1854 - 1850. Let t(c) be the first derivative of -15 + 0*c**3 + 0*c + l*c**2 - 3/4*c**4. Find the second derivative of t(i) wrt i.
-18*i
Let y(x) = x**3 + 21*x**2 + 22*x + 55. Let m be y(-20). Differentiate -m*r + 8*r - 182 - 33 - 83*r**2 + 5*r - 19 wrt r.
-166*r - 2
Let q(f) = 3382*f**3 + 3*f**2 + 1089*f + 1. Let m(o) = -3380*o**3 - 4*o**2 - 1089*o - 2. Let p(t) = -3*m(t) - 4*q(t). Find the second derivative of p(x) wrt x.
-20328*x
Find the third derivative of -590*f**6 - 393*f**6 - 388*f**2 + 16*f**6 - 203*f**6 wrt f.
-140400*f**3
Let v(n) be the first derivative of 13*n**7/7 - 2*n**6/3 - 2*n**4 - 11*n**3 + 45*n**2/2 + 2309. Find the third derivative of v(x) wrt x.
1560*x**3 - 240*x**2 - 48
Find the first derivative of 50*r**4 - 1194 - 51*r**4 + 20*r**4 + 34*r**4 - 19*r**3 wrt r.
212*r**3 - 57*r**2
Let b = -28 + 20. Let v(n) = -n**2 - 10*n - 10. Let o be v(b). Find the second derivative of 5*u - o*u - 4*u + 10*u**2 wrt u.
20
Let u(n) be the third derivative of 5*n**8/56 - n**7/210 - 1453*n**5/30 + 473*n**2 - n. What is the third derivative of u(a) wrt a?
1800*a**2 - 24*a
Let u(p) be the second derivative of 0 + 0*p**3 - 49/10*p**6 - 139*p + 0*p**4 + 0*p**5 - 113/2*p**2. Find the first derivative of u(s) wrt s.
-588*s**3
Let f(z) be the second derivative of 1735*z**3/6 + 73*z**2/2 + 568*z - 3. Find the first derivative of f(c) wrt c.
1735
Let h = 143 - 136. Find the third derivative of 29*w**4 + 2769*w - h*w**2 + 73*w**2 - 2769*w wrt w.
696*w
Find the second derivative of 303*s - 27*s**2 + 63*s**3 + 1493*s - 392*s**2 - 90*s**3 + 26*s**3 wrt s.
-6*s - 838
Let h(f) = -f**2 - 15*