t n(t) be the second derivative of 0*t**3 + 0*t**6 - 5/12*t**4 + 0*t**7 - 9/28*t**8 + 3/2*t**2 - t + 7 + 0*t**5. Find the third derivative of n(z) wrt z.
-2160*z**3
Let r(i) be the first derivative of 400*i**3/3 - 2272*i + 5040. Differentiate r(o) wrt o.
800*o
Let w = 132 - 110. Differentiate 49 - 31*c**3 + 8*c + 14*c - w*c with respect to c.
-93*c**2
Differentiate -36*y**2 + 81*y**2 + 469 - 48*y - 51*y**2 with respect to y.
-12*y - 48
Let v(k) be the third derivative of -5*k**7/3 - k**5/30 + 175*k**4/24 - k**3/2 + 1241*k**2. Find the second derivative of v(c) wrt c.
-4200*c**2 - 4
Suppose 6*h - 33 + 9 = 0. Suppose 5*n - 7*f = -2*f + 50, -f - 52 = -h*n. Differentiate 27*o**2 + 2*o**2 - 10 + o**2 - n*o**2 with respect to o.
32*o
Let f(s) be the third derivative of -983*s**6/30 + 275*s**3 + 4*s**2 - 2*s + 27. Differentiate f(u) wrt u.
-11796*u**2
Let k = -42 - -42. Suppose k = 4*d + d - b - 90, -4*b - 18 = -2*d. Find the third derivative of d*u**2 - 13*u**5 + 24*u**5 - 11*u**5 - 10*u**6 wrt u.
-1200*u**3
Let f = 43 - 71. Let a = 32 + f. Find the third derivative of -10*z**a + 2*z**3 - 16*z**2 - 2*z**3 + 33*z**4 wrt z.
552*z
Let m(q) be the first derivative of 429*q**7/7 + 13*q**4/4 + 2*q**3/3 + q**2 + 170*q + 11637. Find the third derivative of m(j) wrt j.
51480*j**3 + 78
Let n(k) be the third derivative of 0*k**5 + 0*k**3 + 2*k**2 + 37*k + 37/210*k**7 + 0 + 5/3*k**4 + 0*k**6. Find the second derivative of n(l) wrt l.
444*l**2
Let b be (-32996)/(-22) - (-28)/154. Suppose 0 = -24*z + 12*z + b. What is the second derivative of 32*t + 30*t**2 + 66*t**2 - z*t**2 wrt t?
-58
Let k(l) be the second derivative of 1235*l**3/6 - 1519*l**2/2 - 2081*l. Find the first derivative of k(g) wrt g.
1235
Let a(k) be the third derivative of k**9/126 + 121*k**8/168 - 79*k**5/60 - k**3/2 - 2880*k**2. Find the third derivative of a(n) wrt n.
480*n**3 + 14520*n**2
Let r(j) = 3*j + 13. Let b be r(-3). What is the first derivative of 679*n + 49 - 679*n + 20*n**b - 64*n**4 wrt n?
-176*n**3
Let f(p) = 25*p**2 - 2*p - 2. Let j be f(-1). Let t be 12 - (-5)/(j/(-10)). Differentiate -t + 19 + 2*z**2 - 16 wrt z.
4*z
Differentiate -4766*u - 1855 - 1455 - 1756 + 4616 wrt u.
-4766
Let l(g) = -3*g**2 - 61*g - 3439. Let t(m) = 6*m**2 + 6*m - 2. Let c(b) = l(b) + 4*t(b). Differentiate c(a) with respect to a.
42*a - 37
Find the second derivative of 28 - 420*v**3 - 117*v + 470*v**3 - 27 - 9*v**5 wrt v.
-180*v**3 + 300*v
Suppose 0 = -3*w - 4*l - 36, 5*w = -2*l - 46 - 0. Let v = -6 - w. What is the third derivative of -8*q**v + 0*q**5 + 21*q**5 - 7*q**2 wrt q?
1260*q**2
Let m(b) be the second derivative of -b**8/8 - 83*b**5/20 - 2357*b**4/12 + 1701*b. What is the third derivative of m(v) wrt v?
-840*v**3 - 498
Let i = 39 - 34. Suppose 44 = -3*c + i*c. Find the second derivative of c*q**2 - 10*q**2 + 12*q - 12*q**2 - 5*q**3 wrt q.
-30*q
Let j(w) be the first derivative of -w**4/4 - 2032*w**3/3 - 6087*w**2/2 - 1184. Find the second derivative of j(y) wrt y.
-6*y - 4064
Suppose 0*d = -4*d - 20, 5*d + 3673 = 4*y. What is the second derivative of 1 + 3 - 10*v**3 + y*v + 2*v**2 - 897*v wrt v?
-60*v + 4
Let d(c) = 54 - c**2 + 6*c + 0*c**2 - 60. Let j be d(4). What is the derivative of 11 - 4*f**2 - f**j - 25 wrt f?
-10*f
Let a(w) be the third derivative of -11/42*w**8 - 179/60*w**5 + 0*w**3 + 0 + 0*w**4 - w**2 + 0*w**6 + 0*w + 0*w**7. What is the third derivative of a(r) wrt r?
-5280*r**2
Let f(y) be the first derivative of -31*y**4/8 + 71*y**3/6 + 15*y**2 + 78. Let d(m) be the second derivative of f(m). What is the derivative of d(u) wrt u?
-93
Let p(y) = y**2 - 5*y + 2. Let a be p(6). Let l(z) = -z**3 + 5*z**2 + 10*z - 38. Let i be l(3). Differentiate -i + 0*f - a*f - 17*f with respect to f.
-25
Let n(z) = 2*z**2 - 8*z - 8. Let x be n(5). Find the first derivative of -x*r**2 - 3 + 3*r**3 + 0*r**2 + 33 + 9*r**2 wrt r.
9*r**2 + 14*r
Let p(d) = d**2 - d + 14. Let u(i) = 342*i**2 + i + 420. Let z(x) = -3*p(x) - 3*u(x). What is the derivative of z(y) wrt y?
-2058*y
Let p(d) be the third derivative of -1413*d**5/10 + 2617*d**3/3 + 5252*d**2. Find the first derivative of p(l) wrt l.
-16956*l
What is the first derivative of -1553*t**3 + 202*t**3 - 1045*t**3 - 2818 + 302*t**3 wrt t?
-6282*t**2
Let s(h) be the first derivative of -1219*h**3/3 + 179*h**2/2 + 1398. Find the second derivative of s(u) wrt u.
-2438
What is the third derivative of -2*g**2 - 5951260*g**5 + 3606*g**6 + 5951260*g**5 + 544 wrt g?
432720*g**3
Let d(s) = 1295*s**3 - 5*s**2 + 27*s + 18. Let u(m) = -m**3 + 3. Let v(h) = -d(h) + 6*u(h). Find the third derivative of v(z) wrt z.
-7806
Let a(q) be the second derivative of -811*q**5/10 + 7*q**3/2 - 10*q**2 + 3553*q. What is the second derivative of a(f) wrt f?
-9732*f
Let i(x) be the first derivative of -11*x**6/20 + 2*x**3 - 37*x**2/2 + 28. Let r(o) be the second derivative of i(o). Find the first derivative of r(b) wrt b.
-198*b**2
Let s(w) be the first derivative of -111*w**2/2 + 543*w - 1566. Differentiate s(b) wrt b.
-111
Let l(j) = -j**3 - 80*j**2 - 3*j - 797. Let o(b) = -b**3 - 159*b**2 - 8*b - 1588. Let z(y) = -5*l(y) + 2*o(y). Find the second derivative of z(k) wrt k.
18*k + 164
Suppose 13*s - 2*q = 16*s - 200, -5*s + 2*q + 312 = 0. Find the first derivative of -s + 2 - 5 + 37*h + 25 wrt h.
37
Let s(b) = b**2 - 10 + 18*b**2 - 6*b - 7*b**3 + b + 8*b**3. Let x be s(-19). Find the second derivative of 19*j**4 - 85 - 3*j + x wrt j.
228*j**2
Suppose 5*w = -47 + 27. Let q(b) = 48*b**2 - 4*b - 115. Let d(k) = -48*k**2 + 3*k + 119. Let h(i) = w*d(i) - 3*q(i). Differentiate h(f) wrt f.
96*f
Let g(x) be the second derivative of -10*x**5 + 2*x**4/3 - 2905*x**3/6 + 1979*x. Find the second derivative of g(n) wrt n.
-1200*n + 16
Let t be ((-5)/45*-6)/(12/126). Find the second derivative of -209*a**5 - t - 900*a + 449*a + 454*a wrt a.
-4180*a**3
Let v(w) be the third derivative of 0*w**3 - 1/4*w**5 + 1/60*w**6 + 0 - 11/210*w**7 - 1/24*w**4 - 9*w**2 + 0*w. What is the third derivative of v(t) wrt t?
-264*t + 12
Let k(o) be the third derivative of 0*o**3 - 72*o**2 - 2 - 61/12*o**4 + 0*o**5 + 0*o - 181/210*o**7 + 0*o**6. Find the second derivative of k(z) wrt z.
-2172*z**2
What is the second derivative of 44*j**2 + 37*j**3 + 17*j**3 - 106*j**3 - 150*j**2 - 14420*j + 22*j**3 wrt j?
-180*j - 212
What is the derivative of 2449*q + 190 + 5092*q - 1704*q - 880 wrt q?
5837
Find the second derivative of 2*c + 145492 + 2*c + 1158*c**5 - 145469 wrt c.
23160*c**3
Let j(d) = 33*d + 1. Let y be j(2). Let i = y + -39. What is the third derivative of 49 - i + 13*w**4 - 21 - 5*w**2 wrt w?
312*w
Let w(i) = 3609*i**3 - 3552*i**2 + 2*i. Let n(k) = -10806*k**3 + 10656*k**2 - 7*k. Let r(h) = -2*n(h) - 7*w(h). What is the third derivative of r(y) wrt y?
-21906
What is the second derivative of -3831*v**2 + 1 + 41*v - 4479*v**2 + 1312*v**2 + 810*v**2 wrt v?
-12376
Suppose 0 = 1458*z - 1446*z. Let n(j) be the third derivative of 13/6*j**3 + 7/30*j**5 + z + 0*j**4 + 0*j + j**2. Differentiate n(c) with respect to c.
28*c
Let o(d) = 2*d**2 - 2*d + 1. Let w(g) = 8255*g**2 + 9721*g - 4. Let f(n) = -4*o(n) - w(n). What is the second derivative of f(x) wrt x?
-16526
What is the second derivative of -931*c**4 - 1368*c**4 - 6056*c - 928*c**4 + 435*c**4 - 276*c**4 wrt c?
-36816*c**2
Let j(u) = 4*u**4 - 2*u**2 - 2*u. Let i(c) = -13497*c**4 + 6*c**2 + 4*c + 6189. Let m(s) = i(s) + 3*j(s). What is the second derivative of m(p) wrt p?
-161820*p**2
Let l(a) be the second derivative of 1975*a**4/12 + a**3/6 + 282*a**2 + 13*a + 18. Find the second derivative of l(x) wrt x.
3950
Let x be 1/(-6) + (-3377)/(-66) + -5. Find the second derivative of -7 + x + g - 26*g**2 + 25*g**2 + 5*g**4 wrt g.
60*g**2 - 2
What is the first derivative of -64*k - k - 23*k + 1892 + 5*k - 22*k wrt k?
-105
Find the third derivative of -12*l**4 + 680506*l**2 + l**4 - 684383*l**2 - 40*l**3 - l**5 wrt l.
-60*l**2 - 264*l - 240
Let h(u) be the first derivative of 506*u**5 - 385*u**3/3 - 5*u**2/2 - 950. What is the third derivative of h(w) wrt w?
60720*w
Let s(f) = -2*f - 17. Let a(h) = -427*h - 1005. Let z(q) = a(q) + 3*s(q). What is the derivative of z(o) wrt o?
-433
Let h(b) be the first derivative of -14/3*b**6 + 0*b - 111*b**2 + 0*b**3 - 88 + 2/5*b**5 + 0*