 second derivative of -5*w**3 - 5*w**3 + 33*w**t + 85*w - 103*w wrt w?
138*w
Differentiate 2*d**3 + 261*d**4 - 56*d**4 + 42*d**4 - 14728 + 630*d**4 with respect to d.
3508*d**3 + 6*d**2
Suppose 161*o = 170*o. Let f(x) be the third derivative of -13*x**2 + 0*x + o + 1/6*x**4 + 4/3*x**3. Find the first derivative of f(l) wrt l.
4
Let y(l) be the first derivative of -1117*l**4/4 + 2116*l**2 - 3533. Find the second derivative of y(h) wrt h.
-6702*h
Let i = 7222 + -7218. Let w(r) be the third derivative of 0 + 0*r**i + 0*r**5 - 1/15*r**6 - 17*r**2 + 0*r + 3/2*r**3. Find the first derivative of w(b) wrt b.
-24*b**2
Let z be ((-72)/(-20))/((-4)/(-50)). What is the third derivative of 16*t**4 - 18*t**2 - 40*t**2 + 13*t**4 - 32*t**2 + z*t**2 wrt t?
696*t
Let b(h) = -13*h**3 + 8*h**3 + 4*h + 7*h**3 - 3*h. Let g be b(1). What is the second derivative of 77 - 77 - 10*l**g - 3*l wrt l?
-60*l
Let d(p) be the first derivative of -10*p**3 - 25*p**2 + 98*p - 152. Let f(q) be the first derivative of d(q). What is the derivative of f(h) wrt h?
-60
Suppose -2*i + i - 4 = 0, 2*j + 5*i = 88. Let t = 423 + -411. Find the second derivative of -t*b**4 - j*b + 37*b - 10*b**4 wrt b.
-264*b**2
Suppose -4*i + 50 = -38. What is the derivative of 0*n - i - 3*n + 2*n + 109 + 12*n**2 + 49 wrt n?
24*n - 1
Let m(l) be the first derivative of 2/3*l**3 + 0*l**5 - 4*l - 5/2*l**6 - 1/7*l**7 + 0*l**4 + 0*l**2 - 53. What is the third derivative of m(f) wrt f?
-120*f**3 - 900*f**2
Suppose 4 = -4*a, -4*y + 2*a + 286 + 460 = 0. Suppose k - 3*b = 69, 51 = 3*k - 3*b - y. What is the derivative of -26*i**4 - 44 + k - 25 wrt i?
-104*i**3
Let w(j) = -2*j**3 - 19*j**2 - 25*j - 5. Let o be w(-8). What is the first derivative of -27 - 23 + 5 + 171*c**o wrt c?
513*c**2
Let a(y) = -2*y**2 - 56*y + 2. Let g be a(-28). What is the second derivative of 136*z**g - 52*z**2 + z + 9 + 76*z**2 + 132*z**2 wrt z?
584
What is the second derivative of 3872*r**2 + 3327*r - 7017*r + 3142*r wrt r?
7744
What is the third derivative of -5522*s**3 + 1436*s**4 - s**2 + 5522*s**3 + 396*s wrt s?
34464*s
Let f(q) be the first derivative of 1539*q**4/4 + 4*q**3/3 - 23*q + 5320. Find the third derivative of f(d) wrt d.
9234
Let z(f) be the second derivative of -157*f**6/720 - 4*f**5/15 + 9*f**4/2 - 57*f. Let d(x) be the third derivative of z(x). Differentiate d(g) wrt g.
-157
Let w(v) be the second derivative of -41*v**8/56 + 8*v**6/15 - 5*v**4/6 + 35*v**3/6 + 3*v**2/2 + 12117*v. Find the third derivative of w(g) wrt g.
-4920*g**3 + 384*g
Let v(x) be the first derivative of 841*x**6/3 + 2575*x**2/2 - 508. What is the second derivative of v(g) wrt g?
33640*g**3
Let a(k) = -9*k**3 + 7*k**2 - 70*k + 192. Let z(q) = -7*q**3 + 6*q**2 - 73*q + 188. Let j(m) = -5*a(m) + 6*z(m). What is the derivative of j(p) wrt p?
9*p**2 + 2*p - 88
Let j be 2/(-5) - (-1 + (-192)/30). Find the second derivative of 46*y**4 - j*y + 3 - 4 - 146*y**4 wrt y.
-1200*y**2
Let y(k) be the third derivative of 113*k**8/12 - 4139*k**4/24 - k**3/6 + 13656*k**2. What is the second derivative of y(v) wrt v?
63280*v**3
Let u(c) = 3033*c**3 + 3*c**2 + 187*c + 12. Let j(p) = -6065*p**3 - 4*p**2 - 373*p - 27. Let v(i) = 4*j(i) + 9*u(i). Find the third derivative of v(q) wrt q.
18222
Let g = -10664 - -10678. Let p(l) be the first derivative of g + 0*l**3 + 14*l + 0*l**2 + 17/2*l**4. What is the first derivative of p(i) wrt i?
102*i**2
Let w = -37 - -48. Let y = 18 - w. What is the derivative of 1 - y + 35*p**4 - 9*p**4 wrt p?
104*p**3
Let f(u) be the first derivative of 1/3*u**3 + 2 - 34*u + 17/2*u**2. Differentiate f(h) wrt h.
2*h + 17
Suppose -4*l + 22 = 5*g - 27, -3*g + 27 = 2*l. Find the third derivative of 15 - 143*s**l - 137*s**2 + 54*s**6 - 15 wrt s.
-10680*s**3
Let m = 300 + -177. What is the second derivative of -m*d**4 - 17*d - 1 + 264*d**4 - 14*d wrt d?
1692*d**2
Let m = 20 - 5. Let i(h) = -h**2 + 7*h - 10. Let b be i(4). Find the first derivative of -r - 8*r + m + b wrt r.
-9
Find the second derivative of 2 - 1589*h**2 + 8*h + 4*h - 15*h + 4*h + 1 wrt h.
-3178
Let x(d) be the third derivative of 0*d**4 - 97/6*d**3 - 1/60*d**5 + 0*d + 65 + 7/24*d**6 - d**2. Find the first derivative of x(b) wrt b.
105*b**2 - 2*b
Let m(u) = u**4 + 10*u**3 + 2*u**2 + 1. Let p(d) = -48*d**4 + 40*d**3 + d**2 - 1553. Let n(b) = 4*m(b) - p(b). Differentiate n(z) wrt z.
208*z**3 + 14*z
Let r(h) = -1353*h - 5455. Let d(f) = 1363*f + 5454. Let m(z) = -4*d(z) - 3*r(z). What is the derivative of m(v) wrt v?
-1393
Suppose -3*y + 43 = 16. Suppose -5*n - 1 = -3*g + y, 4*n = -3*g + 19. What is the third derivative of -2*c**2 + 14*c**g - c**2 - 23*c**2 wrt c?
840*c**2
Find the second derivative of 2107*c**5 - 34*c - 2244*c**5 + 27 + c**3 - 60*c wrt c.
-2740*c**3 + 6*c
Let t(g) be the first derivative of 25/2*g**4 + 26/3*g**3 + 31 + 0*g**2 + 0*g. What is the third derivative of t(k) wrt k?
300
Let x(j) = 16*j - 11*j - 14*j - 25. Let b be x(-3). What is the third derivative of -86*d**3 + 2*d**4 - 4*d**4 + 4*d**4 + 34*d**b + 96*d**3 wrt d?
48*d + 60
Let t(b) be the second derivative of b**5/20 - 89*b**4/6 + 31*b**2 - 292*b - 2. Differentiate t(x) with respect to x.
3*x**2 - 356*x
What is the second derivative of 10 - 1751863*g**4 + 10 - 5*g + 1754074*g**4 wrt g?
26532*g**2
Let y be 6 + 4*(15 + -7). Suppose -33 + 161 = 4*s. What is the first derivative of 5 + 33*j - y - 31*j + s*j wrt j?
34
Differentiate 212 - 1076 + 346*p**4 + 81*p**4 + 428*p**4 wrt p.
3420*p**3
Let c(h) = -2258*h**3 - 20*h**2 - 63*h - 17. Let y(s) = 2258*s**3 + 18*s**2 + 54*s + 18. Let m(x) = 6*c(x) + 7*y(x). Find the third derivative of m(n) wrt n.
13548
Let r(b) be the first derivative of -79*b**7/210 + 9*b**3/2 + 89*b**2/2 + 167. Let o(u) be the second derivative of r(u). What is the derivative of o(p) wrt p?
-316*p**3
Let d = 0 + 1. Let b(c) = -c**2 - c. Let f(w) = -4*w**2 - w + 15. Suppose -19*r - 45 = 26*r. Let z(a) = d*f(a) + r*b(a). Differentiate z(o) with respect to o.
-6*o
Let d(x) = 69*x**3 - 75*x**2 - 9. Let s(y) = -13*y**3 + 51*y**2 - 21*y**3 - 14*y**2 + 5. Let n(h) = 5*d(h) + 9*s(h). What is the third derivative of n(l) wrt l?
234
Let v be (-133)/(-28) - 2/(-8). Find the second derivative of 5*b**5 - 3*b**2 + v*b + 23 + 13*b - 21 wrt b.
100*b**3 - 6
Suppose c - 28*c = -54. What is the third derivative of -c*n**5 - 109*n**2 - 25*n**2 - 4*n**4 + 7*n**4 wrt n?
-120*n**2 + 72*n
Let z(x) be the second derivative of -18*x**6/5 - 3*x**5/10 - 1655*x**4/12 + 1027*x. Find the third derivative of z(h) wrt h.
-2592*h - 36
Let o(i) be the second derivative of 1192*i**8/7 - 5*i**4/3 + 11*i**3/6 - i**2/2 + 339*i. Find the third derivative of o(f) wrt f.
1144320*f**3
What is the third derivative of -5217*l**2 + 18810*l - 18810*l - 3583*l**3 wrt l?
-21498
Find the second derivative of -6*k**2 + 162737*k**3 - k**4 - 5760*k - 162809*k**3 - 1873*k - 2*k**4 wrt k.
-36*k**2 - 432*k - 12
Find the third derivative of -23*f**3 + 39*f**3 + 594*f**2 + 1600*f**4 + 888*f**2 - 16*f**3 wrt f.
38400*f
Let l(h) = -561*h**3 + 13*h**2 + 7*h + 60. Let j(t) = 281*t**3 - 6*t**2 - 3*t - 30. Let z(y) = -7*j(y) - 3*l(y). What is the third derivative of z(f) wrt f?
-1704
Let t(n) be the third derivative of -327*n**7/70 - 113*n**5/12 + 28*n**2 + 3*n. Find the third derivative of t(x) wrt x.
-23544*x
Suppose -255 = -3*j + 1737. What is the second derivative of -664*b**2 - 83*b**4 + 87*b + j*b**2 wrt b?
-996*b**2
Let q = -87 - -90. What is the derivative of 12 + 8*w**q + 18 + 7 + 20 wrt w?
24*w**2
Let d be 88/(-308) + (-2)/14*-58. What is the third derivative of d*m + 35*m**6 - 3*m**2 - 12*m + 35*m wrt m?
4200*m**3
Let x = 272 - 266. What is the derivative of y**2 - 4*y - 35*y + 1076 - x*y - 1001 wrt y?
2*y - 45
Let l(t) be the first derivative of -125*t**6 + t**3 + 74*t - 387. What is the third derivative of l(w) wrt w?
-45000*w**2
Let n(b) be the first derivative of 271*b**6/2 + 2*b**3/3 - 421*b - 1469. Find the third derivative of n(x) wrt x.
48780*x**2
Suppose -52 - 32 = -4*l. Suppose 3*u = -3*m + 39, 0 = 3*u + m - 4*m - l. Find the third derivative of -14*v**2 - 10*v**4 + u*v**3 - 10*v**3 + 8*v**2 wrt v.
-240*v
Let m(w) = -519*w**2 - 3*w + 671. Let a(f) = -170*f**2 - f + 223. Let t(b) = -19*a(b) + 6*m(b). What is the derivative of t(j) wrt 