-115)) - 4. Find the third derivative of n*k**2 + 67*k**2 + 25*k**5 + 109*k**5 wrt k.
8040*k**2
Let b(u) = -u**3 - 11*u**2 - u - 7. Let a be b(-11). Suppose 2*k = 4*k - a. What is the first derivative of -15 + 383*y - 383*y + 9*y**k wrt y?
18*y
What is the derivative of 517 - 1710 + 682*f - 1442 wrt f?
682
Let x(b) = -281*b**2 + 8*b + 255. Let c(u) = -331*u + 13660*u**2 - 87*u - 13262 + 951*u**2. Let w(d) = -4*c(d) - 209*x(d). Differentiate w(f) with respect to f.
570*f
Let w(g) = 7493*g**3 - 155*g**2 + 39*g. Let b(o) = 3746*o**3 - 80*o**2 + 22*o. Let c(q) = -5*b(q) + 3*w(q). What is the third derivative of c(a) wrt a?
22494
Let f(b) be the first derivative of 115 + 0*b**2 - 2/3*b**3 - 27*b + 0*b**4 - 31/5*b**5. Find the first derivative of f(c) wrt c.
-124*c**3 - 4*c
Suppose 25 = 4*d + 5, 5*z = 3*d. What is the third derivative of -1745*x**2 - 10*x**z + x**4 + 4*x**3 + 1907*x**2 - 15*x**3 wrt x?
24*x - 126
Let u(s) be the third derivative of -5*s**6/12 - 7*s**5/20 - 5771*s**3/6 + 10*s**2 + 58*s + 1. What is the first derivative of u(a) wrt a?
-150*a**2 - 42*a
Let q(x) be the second derivative of -1181*x**7/42 + x**3/3 - 263*x**2/2 + 16*x + 15. What is the second derivative of q(o) wrt o?
-23620*o**3
Differentiate -37*z**4 - 8 - 200 + 16*z**2 - 20*z**2 - 26*z**4 wrt z.
-252*z**3 - 8*z
What is the second derivative of -16*i - 4*i**5 + 531*i**4 + 3*i**5 + 18 + 11 - 92*i**4 wrt i?
-20*i**3 + 5268*i**2
Let m(z) = 1928*z**2 + 1774*z - 5. Let i(a) = 2892*a**2 + 2661*a - 8. Let h(l) = -5*i(l) + 8*m(l). Find the second derivative of h(o) wrt o.
1928
Let d(p) be the third derivative of p**7/105 - 4625*p**4/12 - 1606*p**3 - 313*p**2 + 2*p - 2. What is the derivative of d(s) wrt s?
8*s**3 - 9250
Let i(q) = q**3 + 6*q**2 - 17*q - 13. Let k be i(-7). Differentiate k + 3*z**4 + 53 + 30 - 65 + 81 + 2*z**2 with respect to z.
12*z**3 + 4*z
Let n be ((-2)/(-3))/(2/396). Let w = n - -35. What is the third derivative of -w*v**2 + 148*v**2 + 0*v**5 - 6*v**5 wrt v?
-360*v**2
Let t(d) = -4*d**2 + 370*d - 1742. Let f(q) = -q**2 - q - 1. Let b(u) = f(u) - t(u). Find the first derivative of b(a) wrt a.
6*a - 371
Let g(q) be the second derivative of 5*q + 11 - 3/4*q**4 + 0*q**3 + 0*q**5 + 97/2*q**2 + 1/10*q**6. What is the derivative of g(w) wrt w?
12*w**3 - 18*w
Let d be (-2 - (1 - (-3 + 2))) + 23. Find the second derivative of 199*s**4 - 247*s**4 - 22 + 2*s + d wrt s.
-576*s**2
Let u(w) be the third derivative of 0*w - 2/5*w**7 - 119*w**2 + 0*w**6 + 1/30*w**5 + 0 - 3*w**3 + 0*w**4. Find the third derivative of u(l) wrt l.
-2016*l
Let a(h) be the first derivative of -1528*h**7/7 + 1958*h**3/3 - 1381. What is the third derivative of a(t) wrt t?
-183360*t**3
Suppose -5*v + 12 = v. What is the first derivative of -152*p + 152*p - 30*p**v - 16 wrt p?
-60*p
Let b be (-4)/6*2*(-6)/2. Let j(m) = 2*m**3 - 5*m**2 + m - 4. Let o be j(b). What is the first derivative of -o*w**3 - 28*w**3 - 21 + 108*w**3 wrt w?
96*w**2
Let f(v) = -24*v**2 + 23*v + 107. Let q(o) = 23*o**2 - 25*o - 105. Let k(z) = -4*f(z) - 3*q(z). Differentiate k(n) with respect to n.
54*n - 17
Let f(w) be the first derivative of -416*w**5/5 + 3643*w**2 - 463. Find the second derivative of f(h) wrt h.
-4992*h**2
Let l(k) = k**3 + 9*k**2 + 187. Let g(n) = 2*n**3 + 17*n**2 + 375. Let h = 135 + -133. Let y(r) = h*g(r) - 5*l(r). What is the derivative of y(q) wrt q?
-3*q**2 - 22*q
Let n be 9/5 + (4/(-5))/(-4). Suppose -n*l + 12 + 2 = 0. Find the second derivative of -l*t**5 + t + 0*t - 19*t wrt t.
-140*t**3
Let x be (-365)/(-30) + 2/(-12). Suppose 0*y + 4*y = -8, 4*y + x = a. Find the third derivative of 6*i**a + 12*i**2 + 72*i**3 - 72*i**3 wrt i.
144*i
Let w(a) = -1376*a - 369. Let d(y) = 336*y + 92. Let z(q) = -9*d(q) - 2*w(q). What is the derivative of z(n) wrt n?
-272
Let v be 0/(32*(-12)/(-48) + -6). Let i(d) be the second derivative of -7/2*d**2 - 19/20*d**5 + 0*d**3 + v*d**4 - 20*d + 0. Differentiate i(n) wrt n.
-57*n**2
What is the first derivative of 930 - 4405*o**2 + 6*o**4 - 4405*o**2 + 8809*o**2 - 16*o**4 wrt o?
-40*o**3 - 2*o
Let o = -101 + 122. What is the second derivative of -8*z + 26*z + 7*z**5 + 3*z + o*z wrt z?
140*z**3
Suppose -6*l + 50 + 106 = 0. Let j = -241 + 243. Find the third derivative of -46*d**2 - l*d**4 + 107*d**2 - 34*d**j wrt d.
-624*d
Let f(v) be the second derivative of -v**8/56 - 491*v**6/30 + v**4/12 - 729*v**2/2 - 4*v + 34. Find the third derivative of f(d) wrt d.
-120*d**3 - 11784*d
Let n(b) be the second derivative of 2629*b**6/30 + 3*b**5/20 + 5765*b**4/12 + 7770*b. Find the third derivative of n(d) wrt d.
63096*d + 18
What is the first derivative of 119*z + 264*z + 245 + 362 + 795 + 54 wrt z?
383
Find the third derivative of 51582*w**3 - 51582*w**3 + 903*w**4 + w**6 - 13*w**2 - 56*w**2 wrt w.
120*w**3 + 21672*w
What is the third derivative of -169*z**2 - 123*z**2 - 2 - 37*z**2 + 512*z**2 + 13*z**5 + 80*z**3 wrt z?
780*z**2 + 480
Let a(w) be the first derivative of -484*w**4 + 61*w**3/3 + 563. What is the third derivative of a(i) wrt i?
-11616
Let c(w) = 29*w**2 - 3*w - 1. Let v be c(-1). What is the third derivative of 38*x - 34*x + 15*x**2 + v*x**4 - 14*x**2 wrt x?
744*x
Let m(n) = -2*n**3 + 5*n - 4. Let d = -117 + 125. Let o(i) = 4*i**3 - 14*i + 12. Let t(b) = d*m(b) + 3*o(b). Find the second derivative of t(g) wrt g.
-24*g
Let t(g) be the second derivative of -g**8/28 - 358*g**6/15 + 26*g**4/3 - g**3/2 + 2647*g + 1. Find the third derivative of t(x) wrt x.
-240*x**3 - 17184*x
Find the first derivative of -549 - 890*m**2 + 1132*m**2 - 418 + 686*m**2 wrt m.
1856*m
Find the first derivative of -6548 + 2365*r - 1799 - 8374*r wrt r.
-6009
Let g(w) = 311*w**3 + 13*w**2 + 45*w + 111. Let r(n) = 155*n**3 + 6*n**2 + 20*n + 55. Let h(o) = -4*g(o) + 9*r(o). Find the third derivative of h(z) wrt z.
906
Let n = 500 - 498. What is the derivative of -37*a - a**n - 47*a + 9*a - 10*a + 0*a**2 + 145 wrt a?
-2*a - 85
Let j be 3*(-116)/(-90) - (-2)/15. Differentiate -19 - 122*z**4 + 31*z**j - 8 with respect to z.
-364*z**3
Let c(z) = 31*z + 4. Let l be c(2). Let x = l - 63. Differentiate -2*v**4 + 24*v**4 + 22 + 10*v**3 - 10*v**x with respect to v.
88*v**3
Find the second derivative of 1158*k**3 - 319*k - 1119*k + 357*k**3 + 696*k**3 wrt k.
13266*k
Let l(b) be the third derivative of 177*b**7/70 + b**4/24 + 634*b**3/3 - 249*b**2. Differentiate l(y) wrt y.
2124*y**3 + 1
Suppose -2*a = 4*p - 2, 1 = -4*p + 2*a + 15. Find the third derivative of 10*r**2 + 4*r**2 + 12*r**6 - 43*r**6 - 48*r**p wrt r.
-3720*r**3
Let r(a) be the second derivative of -1505*a**4/6 + 513*a**3/2 + 89*a + 11. Find the second derivative of r(z) wrt z.
-6020
Suppose x = -5151 + 5154. Let g(d) be the second derivative of 0*d**x + 0 + 9*d - 17/2*d**2 + 8/3*d**4. Find the first derivative of g(o) wrt o.
64*o
Let j be -14*1/4*(-1 - 1). Differentiate 28*q + 21 - 110*q - 8 - j - 11 wrt q.
-82
Let z(a) be the third derivative of 328*a**7/105 + 607*a**5/30 + 3*a**2 - 30. Find the third derivative of z(m) wrt m.
15744*m
Let w be (48/(-6))/(-8) + 0. Find the third derivative of -2*x**2 - 3 - 2*x**2 - 1605*x**5 + w + 1464*x**5 wrt x.
-8460*x**2
Let s(y) be the third derivative of 349*y**7/105 - 835*y**3/3 + 1410*y**2. Differentiate s(w) wrt w.
2792*w**3
Let t(d) be the first derivative of d**6/6 - 631*d**5/5 - d**4/4 - 3199*d**3/3 - 5479. What is the third derivative of t(b) wrt b?
60*b**2 - 15144*b - 6
Let n(q) = 3969*q + 823. Let d(t) = 261953*t + 54359. Let a(s) = -2*d(s) + 133*n(s). Differentiate a(w) wrt w.
3971
What is the second derivative of 98 + 27*m - 169 - 961*m**5 + 83 wrt m?
-19220*m**3
Let g(c) = 3041*c**2 - c - 5842. Let j(m) = 6080*m**2 - 2*m - 11686. Let w(x) = 7*g(x) - 3*j(x). Differentiate w(p) with respect to p.
6094*p - 1
What is the third derivative of 4402*a**2 + 0*a**5 - 94*a**6 - 3*a**5 + 144*a**6 - 639*a**4 - 48*a**6 + 2279*a**2 wrt a?
240*a**3 - 180*a**2 - 15336*a
Suppose -8*m + 5*m = -6. Let p be (-26)/65*(0 + -5). Find the first derivative of s**p - 13*s**m + 0 + 12 wrt s.
-24*s
Let b(k) be the third derivative of -k**7/210 - 23*k**6/8 - k**5/15 + 167*k**4/24 - 3*k**2 + 186*k. What is the third derivative of b(y) wrt y?
-24*y - 2070
Find the second derivative of 2950*z + 1192*z**4 + 797*z**4 - 3472*z - z