(n) = -n**4 + 256*n**2 + 539*n - 14550. Let j(v) = -3*g(v) - 8*u(v). Differentiate j(c) wrt c.
12*c**3 - 177
Find the second derivative of 133*s**4 - 2816*s**2 - 190*s**4 - 3*s - 2178 + 58*s**4 + 5*s wrt s.
12*s**2 - 5632
Suppose 4*k = -0*x - 2*x + 4, 3*x + 4 = 4*k. Suppose n + 2*d - 1 + 2 = x, 0 = -4*d - 20. Find the second derivative of -237 - r**3 + 237 + n*r wrt r.
-6*r
Suppose 0 = -0*g + 3*g - 60. Suppose 756*q - 65 = 730*q - 13. What is the first derivative of 8*s**2 - 20*s**q - 23 - g*s**2 + 7*s**2 wrt s?
-50*s
Let f be -26 + 33 - (4 + 0). Suppose 3*a = -4*t - f, t - 7 - 2 = -4*a. What is the third derivative of -12*y**2 + y**2 + 0*y**3 - 15*y**a wrt y?
-90
What is the third derivative of -12*y**5 + 164*y - 29864*y**6 - 4*y**5 + 29887*y**6 + 4*y**2 - 1 wrt y?
2760*y**3 - 960*y**2
Let n = -39 + 42. Suppose b + 226 = n*b. What is the second derivative of 113 + 5*k - k - b - 10*k**2 wrt k?
-20
What is the third derivative of 2*s - 106 + 25*s**6 - 7*s**6 + s**4 - 2*s**2 + 216*s**5 - 218*s**5 - 9*s**6 wrt s?
1080*s**3 - 120*s**2 + 24*s
Let f(l) be the third derivative of 4871*l**4/24 - 2039*l**3/6 - 4007*l**2. What is the first derivative of f(i) wrt i?
4871
Let p be 5 + (4 - (0 + 3)). What is the second derivative of -p*u - 2*u**3 - 11851 + 11851 + 38*u + 27*u**2 wrt u?
-12*u + 54
Find the second derivative of -20*h**2 - 15*h - h + 12*h**4 - 436 + 6*h + 0*h + 11*h wrt h.
144*h**2 - 40
Let g(u) be the first derivative of -4589*u**3/3 + 135*u**2/2 - 18*u - 564. What is the second derivative of g(h) wrt h?
-9178
Suppose 66 - 76 = -5*v. Find the second derivative of 5*y + 50*y**v + 12*y**2 - 2*y - 18*y - 3 wrt y.
124
Suppose 6*f + 12 = 4*f. Let k be (f - 6)*6/(-9). Differentiate 3 - 5 + k + 13*q + 3 wrt q.
13
Let y be 0/((-2 - 6)/4). Differentiate 1363*a - 1417*a - 2*a**3 + 161 + y*a**3 with respect to a.
-6*a**2 - 54
What is the second derivative of 115*d - 21 + 117*d - 1900*d**2 + 110*d - 2*d**3 + 114*d - 455*d wrt d?
-12*d - 3800
Suppose 7*d - 67 - 3 = 0. Suppose 0 = -2*w + p + 2*p - 5, 2*w + 2*p = d. What is the third derivative of 15*t**w - 7*t**2 - 78*t**5 + 74*t**5 wrt t?
-240*t**2
Let p(s) be the first derivative of -10 + 747*s**2 + s**6 + 11 - 722*s**2. What is the second derivative of p(k) wrt k?
120*k**3
Let r be (1/3)/(4/(41 - 5)). Suppose 2*a - 5 = -4*w + 1, r*w = -a + 5. Find the second derivative of 26*v + 1 - 24*v**w - 14*v - 1 wrt v.
-48
What is the first derivative of -486*j + 1028 + 990*j - 502*j - 1026*j**2 wrt j?
-2052*j + 2
Suppose 15*s - 304 = 11*s. Find the second derivative of s*p**4 + 2*p**3 + 9*p**3 + 21 - 11*p**3 - 3*p wrt p.
912*p**2
Let o be (-4554)/(-81) - 7 - 4/18. What is the first derivative of -128 - 128 + 67 - 43*f - o*f - 26*f wrt f?
-118
Let i(t) be the second derivative of -85*t + 0*t**3 - 97/20*t**5 + 25/3*t**4 + 0 + 0*t**2. What is the third derivative of i(h) wrt h?
-582
What is the second derivative of 52*p**2 - 3 + 35*p**2 - 87*p**2 - 879*p - 650*p**5 + 1 wrt p?
-13000*p**3
Let n(v) be the third derivative of -37*v**7/10 + 31*v**4/24 + 5*v**3/3 + 8*v**2 - 90*v. What is the second derivative of n(a) wrt a?
-9324*a**2
Suppose -375 = -5*m + q, -m + q - 3*q = -86. Differentiate m*l**2 + 10 - 28 + 70 + 117 + 5*l**2 wrt l.
162*l
Let u(j) be the second derivative of -1475*j**7/42 - 565*j**3/3 + 4*j + 46. Find the second derivative of u(h) wrt h.
-29500*h**3
Suppose -2*g = 4*w + 30, 10 + 30 = -3*w - 5*g. Let s be -3 + 32/5 - (-2)/w. Find the second derivative of -15*r - 31*r**s + 12*r - 13*r wrt r.
-186*r
Suppose -b - 4*b - 2*s + 15 = 0, 4*b = s + 12. What is the third derivative of g - 2*g + 16*g**b - 4*g**4 + 7*g**4 - 5*g**2 wrt g?
72*g + 96
Let x(q) be the second derivative of 339*q**5/20 + q**3/3 + 2319*q**2/2 + 885*q. Differentiate x(p) wrt p.
1017*p**2 + 2
Let b be (-4)/18 + 188/36. Suppose -2 - 10 = -6*u. What is the derivative of 9 - b*f + u*f + 9*f + 7*f wrt f?
13
Let m(h) be the third derivative of 25*h**7/2 + 2089*h**3/3 - 2682*h**2. Differentiate m(u) wrt u.
10500*u**3
Let n(v) = -v - 28. Suppose 136 = -4*j + f + 7, 2*f = 5*j + 165. Let g be n(j). Find the second derivative of -8 + 27*r**3 - 27*r**g + r - 32*r**4 wrt r.
-384*r**2
Let m(q) = -12690*q**2 - 11004*q - 11. Let d(x) = 3172*x**2 + 2753*x + 3. Let w(c) = -11*d(c) - 3*m(c). What is the second derivative of w(y) wrt y?
6356
Let t(x) be the first derivative of 0*x**5 - x**3 + 29/6*x**6 + 41*x + 0*x**4 + 0*x**2 + 71 - 2/7*x**7. What is the third derivative of t(m) wrt m?
-240*m**3 + 1740*m**2
Find the second derivative of -99*o**2 + 213531020 + 5713*o + 7*o**3 + o**5 - 213531020 wrt o.
20*o**3 + 42*o - 198
Let l(n) be the second derivative of n + 9/2*n**4 + 0*n**3 + 2/5*n**6 + 0*n**2 - 16 - 1/42*n**7 + 0*n**5. Find the third derivative of l(w) wrt w.
-60*w**2 + 288*w
Suppose -18*c + 209898 = -182682. What is the third derivative of -21810*q**4 - 96*q**5 + 263*q**2 - 72*q**5 + c*q**4 wrt q?
-10080*q**2
Let r(j) = -2258*j**3 - 86*j**2 - 3. Let a(c) = -2259*c**3 - 93*c**2 - 1. Let t(v) = 4*a(v) - 5*r(v). What is the third derivative of t(f) wrt f?
13524
Differentiate -46*r**2 + 167*r**3 - 41*r**2 - 49*r**2 - 47*r**2 - 1076 + 179*r**2 with respect to r.
501*r**2 - 8*r
Suppose 0 = 5*o - b - 105, -3*o - 6*b + b + 63 = 0. Let x = -17 + o. What is the second derivative of 9*k + 18*k - x*k - 3*k + 18*k**5 wrt k?
360*k**3
Let b(y) be the first derivative of -136*y**3/3 + 1440*y + 919. Differentiate b(j) with respect to j.
-272*j
Let b(h) = 2*h**3 - 8*h**2 - 3*h + 14. Let g be b(4). What is the third derivative of -40*f**g - 33*f**2 + 91*f**2 + 127*f**6 + 117*f**2 wrt f?
15240*f**3
Let v = 4309 - 4309. Let c(u) be the second derivative of v + 0*u**5 + 7/2*u**3 - 1/3*u**6 + 0*u**2 - 15*u + 0*u**4. Find the second derivative of c(o) wrt o.
-120*o**2
Let c = -214 + 218. What is the third derivative of -g**4 + 2*g**4 + 10*g**3 - 64*g**2 + 2*g**c - 19*g**3 wrt g?
72*g - 54
Let c(v) be the first derivative of -1/3*v**6 + 0*v**5 + 6 - 3*v**3 + 0*v**4 + 0*v - 7*v**7 + 0*v**2. Find the third derivative of c(b) wrt b.
-5880*b**3 - 120*b**2
Suppose 0 = -0*r + 2*r + 3*b - 107, -b = -1. Find the second derivative of -r*g**5 - 2 - 412*g**3 + 412*g**3 - 41*g wrt g.
-1040*g**3
Let j be 2/(-9) + 2845/45. Let x(u) be the first derivative of 8*u - 18*u**2 - 25*u - 80 + j. What is the first derivative of x(i) wrt i?
-36
Let o(h) = 13*h**3 - h**2 + h. Let g(s) = 60*s**3 - 133*s**2 + 585*s - 1. Let v(i) = -g(i) + 5*o(i). Find the second derivative of v(a) wrt a.
30*a + 256
Let l(r) = 474*r**2 - 232. Let c(x) = 1895*x**2 - 926. Let v(b) = 6*c(b) - 22*l(b). What is the first derivative of v(f) wrt f?
1884*f
Let g(a) be the first derivative of 43*a**5/10 + 57*a**2 - 17*a - 90. Let l(c) be the first derivative of g(c). Find the first derivative of l(o) wrt o.
258*o**2
Let c(f) = 454*f - 21792. Let m be c(48). Let x(p) be the first derivative of m*p**3 - 37/4*p**4 - 5*p**2 - 15 + 0*p. Find the second derivative of x(a) wrt a.
-222*a
Let k = 11 - 6. Suppose k*x = -5*n + 20, 5*x + 3*n = 4*x + 6. Find the second derivative of -5*p**x - 39*p + 28*p + 25*p + 4*p**3 wrt p.
-6*p
Suppose 10*q + 557 = 12*q - 5*s, -4*s = 4*q - 1072. Differentiate -538*f + 304*f + 147*f - 10 + q*f with respect to f.
184
Let b(s) be the second derivative of 471*s**5/20 - s**4/12 + 1755*s**2/2 - 9*s - 20. What is the derivative of b(f) wrt f?
1413*f**2 - 2*f
Let b(u) = -u**3 - 3*u**2 + 4*u + 3. Let y be b(-2). Let f be 4/(-18) - (0 - (-20)/y). Find the second derivative of -8*p**5 - 3*p - p - f*p**5 wrt p.
-200*p**3
Let w(b) = 25*b - 45. Let r be w(8). What is the third derivative of 2*j**4 + 2*j**5 - 155*j - 22*j**2 + j**4 + r*j wrt j?
120*j**2 + 72*j
Let h(v) = v**3 - v**2 - 20*v + 10. Let q be h(5). Find the first derivative of -38 - 44*s**2 + q - 41 wrt s.
-88*s
Suppose -20*c = -25*c + 90. What is the first derivative of -40 + 5 - 3 + 9*j + c*j wrt j?
27
Let p(a) = -a**4 - 2*a + 1. Let t(k) = -5*k**4 - 17*k**3 + 24*k**2 + 2*k + 2. Let q(j) = -2*p(j) + t(j). What is the third derivative of q(d) wrt d?
-72*d - 102
Let s(d) be the third derivative of -1/30*d**6 + 0 + 0*d + 0*d**5 + 11/210*d**7 + 152*d**2 - 11/2*d**4 + 1/3*d**3. Find the second derivative of s(i) wrt i.
132*i**2 - 24*i
Let y(o) = 6*o + 3