672*y**2
Let m(f) be the first derivative of 961*f**5/5 + 2*f**3/3 + 33*f**2 + 536. Find the third derivative of m(w) wrt w.
23064*w
Let r(o) be the first derivative of 0*o**2 + 52*o + 1/4*o**4 + 2/3*o**3 + 36 + 49/5*o**5. Find the third derivative of r(y) wrt y.
1176*y + 6
Suppose 4*a - l = 10, 4*l + 6 = 11*a - 12*a. What is the derivative of -37 - 92 - 4*j**3 + 21*j**a + 31 - 112 wrt j?
-12*j**2 + 42*j
Suppose 3*r - 22*r + 401071 = 0. What is the second derivative of a**2 - a**2 + 21081*a - 111*a**4 - r*a wrt a?
-1332*a**2
Let z be (-6)/(-2) + -2*(-186)/12. Let t = z + -30. Find the third derivative of -5*v**3 + t*v**3 + 38*v**2 - 5*v**3 wrt v.
-36
What is the third derivative of -133*s + 3881*s**5 - 10*s**2 + 14*s**2 + 4275*s**6 - 3881*s**5 wrt s?
513000*s**3
Let f(n) = 691*n**3 - 7*n**2 - 2025*n - 70. Let q(y) = 345*y**3 - 4*y**2 - 1013*y - 40. Let c(b) = 4*f(b) - 7*q(b). What is the second derivative of c(d) wrt d?
2094*d
Suppose -5*q + 38 + 22 = 0. Let b be ((-21)/9 + 2)/((-2)/258). What is the third derivative of -b*h**2 - 5 + q*h**4 + 5 + 47*h**2 wrt h?
288*h
Let q = -29054 - -29058. Let c(y) be the second derivative of 0*y**q - 19*y - 17*y**2 + 0 + 0*y**3 - 1/5*y**5. Find the first derivative of c(w) wrt w.
-12*w**2
Find the second derivative of -4*s**4 - 855*s - 294*s + 45*s**2 + 54*s**2 - 19*s**2 wrt s.
-48*s**2 + 160
What is the third derivative of -787*n**2 + 62*n**5 + 38*n**5 - 515*n**3 + 0*n + 505*n**3 + 0*n wrt n?
6000*n**2 - 60
Suppose 0 = w + 2*q + 1, -5 = -0*w + w + 3*q. Let g = 13 - w. What is the first derivative of 3 - g*k**4 - 10 + 4 - 10 wrt k?
-24*k**3
Let h be (-6)/(-8) - 8/((-128)/500). Find the second derivative of 3*x**2 + x**5 + 220*x - 218*x - 12 - 3*x**2 + h*x**3 wrt x.
20*x**3 + 192*x
Let b(a) = -9686*a - 5834. Let s(g) = 4844*g + 2881. Let o(r) = 2*b(r) + 5*s(r). What is the first derivative of o(q) wrt q?
4848
Let z(t) = -22 - 6 + 5*t + 7 - 2. Let w be z(5). Find the second derivative of 2*o**4 + 15*o + 3*o**4 - 3*o**w + 3*o**2 wrt o.
60*o**2
Let w(y) be the second derivative of 43*y**3/2 + 3251*y**2/2 - 3946*y. Differentiate w(q) wrt q.
129
Suppose 2*f - 1036 = -5*a - 2*f, 0 = 2*a + 4*f - 424. Find the second derivative of 2 - a*d - 203*d + 391*d - 18*d**2 - d**4 wrt d.
-12*d**2 - 36
What is the first derivative of -2443*m**2 + 2300 + 2446*m**2 + 24*m**3 + 178*m**3 wrt m?
606*m**2 + 6*m
Suppose -7*d + d = -78. Suppose 3*t = d - 4. What is the first derivative of t*n + 37 - 19*n - 57 wrt n?
-16
Find the second derivative of 27 - 2571*k**2 + 978*k + 1498*k**2 - 29 wrt k.
-2146
Let t(o) = o**5 - o**4 + o**2 + 3*o. Let x(d) = 650*d**5 - 8*d**4 + 8*d**2 - 61*d + 11. Let f(p) = 8*t(p) - x(p). What is the second derivative of f(i) wrt i?
-12840*i**3
Suppose z + 9 = -3*a, -5*z = 4*a + 30 - 7. Let s(r) = -r - 1. Let u(y) = -40*y + 4. Let q(k) = a*u(k) + 20*s(k). What is the first derivative of q(d) wrt d?
60
Find the third derivative of -78*f - 72*f + 529*f**3 - 1333*f**3 + f**4 - 2923*f**2 - 72*f + 220*f wrt f.
24*f - 4824
Let a(q) be the first derivative of q**4/4 - 739*q**3/3 - 322*q**2 - 28. What is the second derivative of a(t) wrt t?
6*t - 1478
Find the first derivative of -20763 - 20576 + 44247 + 2161*t wrt t.
2161
Suppose 0*a + 4*a - 308 = 0. Let n = a + -74. Find the third derivative of -12*f**3 - 406*f**2 + 391*f**2 - 2*f**n wrt f.
-84
Suppose -7*g + 32 = -3*g. Suppose c + 6 = g. Differentiate f**4 - 13*f**4 + 6*f + c - 6*f with respect to f.
-48*f**3
Suppose 1632 - 1614 = 6*j. Find the second derivative of -23 + j*c**5 + 13*c**3 + 8*c**3 + c**3 - c - 26*c**3 wrt c.
60*c**3 - 24*c
Let b(u) = 2463*u + 669. Let v(y) = 8*y. Let g(l) = -b(l) - v(l). Find the first derivative of g(h) wrt h.
-2471
Let n(x) be the second derivative of x**7/21 + x**6/2 - 89*x**5/20 - 927*x**4/4 + 1303*x. What is the third derivative of n(j) wrt j?
120*j**2 + 360*j - 534
Let j be (1 + (-6)/(-3) + -1)/(-2). Let b = 2 - j. Find the second derivative of -15*g**2 - 25*g + 6*g - b*g**2 wrt g.
-36
Let a(k) be the first derivative of k**4/6 + 2*k**3/3 + 9*k**2/2 - 19*k - 13. Let l(m) be the first derivative of a(m). Differentiate l(z) wrt z.
4*z + 4
Let i be ((-60)/(-25))/6 - (-88)/5. Suppose -9*z = -i - 9. Find the third derivative of 6*s**2 - 4*s**2 + 7*s**2 - 10*s**3 + z*s**2 wrt s.
-60
Let g(r) = 5476*r**3 - 14*r**2 - 10*r + 1228. Let v(c) = 3651*c**3 - 10*c**2 - 7*c + 818. Let l(w) = -5*g(w) + 7*v(w). Find the second derivative of l(k) wrt k.
-10938*k
Let p(v) = -112*v - 2172. Let t(b) = -4*b - 1. Let f(k) = -p(k) - t(k). What is the first derivative of f(z) wrt z?
116
Let r(u) = 189*u**3 + u**2 + 6*u - 5. Let h be r(1). What is the second derivative of -a + 10 + 28 - h*a**4 + 0 + 4*a wrt a?
-2292*a**2
Find the third derivative of -114*t + 47*t**6 - 62126*t**4 + 17*t**6 + 62123*t**4 + 20*t**2 + 66*t**6 wrt t.
15600*t**3 - 72*t
Let y(t) be the third derivative of 0 - 73/6*t**4 + 103/3*t**3 + 0*t - 260*t**2. Differentiate y(v) with respect to v.
-292
Suppose -2*f + 5 = -3*x, -2*f = f - 3*x - 9. Find the second derivative of -11 - 1 - 103*h**4 + 6 + 14*h + f wrt h.
-1236*h**2
Let u(p) be the first derivative of p**7/42 - p**3/6 - 37*p**2 + 14*p + 134. Let g(y) be the first derivative of u(y). Find the second derivative of g(d) wrt d.
20*d**3
Suppose 3*f + 3*u - 52 + 4 = 0, 3*u - 3 = 0. Find the second derivative of -f - 14 - 3*b + 39 - 11 - 14 - 193*b**3 wrt b.
-1158*b
Let j(b) be the first derivative of -5*b**3 + b**2/2 - 340*b - 885. What is the second derivative of j(y) wrt y?
-30
Let w(z) be the second derivative of -1003*z**5/20 + z**4/2 + 99*z**2/2 + 2*z - 240. What is the third derivative of w(v) wrt v?
-6018
Let h(b) be the first derivative of 131*b**5/5 + 648*b + 1073. What is the first derivative of h(s) wrt s?
524*s**3
Let j(x) = 14570*x**2 - 171*x + 965. Let i(a) = -4163*a**2 + 49*a - 276. Let v(u) = 17*i(u) + 5*j(u). Find the second derivative of v(l) wrt l.
4158
Let f(q) = -13*q**2 + 11. Suppose -9*i = i + 160. Let j = i + 27. Let b(m) = -27*m**2 + 23. Let h(x) = j*f(x) - 6*b(x). Find the first derivative of h(r) wrt r.
38*r
Let l be (-12)/30 - (-316)/40*406. Differentiate -60 + 3207*v + 61*v**2 - l*v wrt v.
122*v
Let m(q) be the first derivative of 9*q**2/2 + 47*q + 12. Let s be m(-5). Find the first derivative of 14 + d**2 - 11*d**s - 24*d**2 + 4*d**2 wrt d.
-60*d
Let a = 5981/15992 + 2/1999. Let t(x) be the third derivative of 0 - 8*x**2 - 1/12*x**5 + 0*x**3 + 0*x - a*x**4. What is the second derivative of t(l) wrt l?
-10
Let l(b) be the first derivative of 0*b**2 + 0*b**3 - 18*b - 7 + 0*b**4 - 73/5*b**5. What is the derivative of l(y) wrt y?
-292*y**3
Let k be 32/(-18) - -2 - 2440/(-360). What is the third derivative of 72*c**4 - 14*c**4 - k*c**2 - 2 + 5*c**4 + 27*c**4 wrt c?
2160*c
Let f(m) be the second derivative of 2*m**6/15 - 9*m**5/5 + m**3/3 - 182*m**2 - 66*m - 5. Find the first derivative of f(p) wrt p.
16*p**3 - 108*p**2 + 2
Let t(r) be the first derivative of -15/4*r**4 + 9*r - r**3 + 5/2*r**2 - 10. What is the second derivative of t(o) wrt o?
-90*o - 6
Let a(x) = 8*x + 223. Suppose -5*i = i + 2*i. Let s be a(i). Find the second derivative of -39*k**2 - 4 - 272*k + s*k + 4 wrt k.
-78
Find the second derivative of 3171*s**2 + 6 - s + 1365*s + 527*s - 6 wrt s.
6342
Let z be (1 - (-2 + 2))/((-2)/(-12)). Let j(t) = -2*t + 15. Let m be j(z). What is the second derivative of -19*s + 25*s - 22*s + 12*s**m wrt s?
72*s
Let m(f) be the third derivative of 0 + 0*f**3 - 86*f**2 + 0*f**6 + 0*f + 25/24*f**4 + 101/210*f**7 + 0*f**5. Find the second derivative of m(p) wrt p.
1212*p**2
Let t(j) be the third derivative of 0 + 0*j**6 - 1/210*j**7 + 0*j + 0*j**5 - 49/24*j**4 + 3*j**3 + 31*j**2. What is the first derivative of t(b) wrt b?
-4*b**3 - 49
Let x(u) = -2*u**3 + u - 3. Let i(p) = 1431*p**3 - p + 981. Let k(n) = i(n) + x(n). What is the derivative of k(a) wrt a?
4287*a**2
Let g(l) be the third derivative of 56/3*l**3 + 7/8*l**4 + 8*l**2 - l + 0. Differentiate g(w) wrt w.
21
What is the second derivative of -40*s**4 - 6*s**4 - 66*s**2 - 62*s**2 - 2446*s + 134*s**2 - 11*s**4 wrt s?
-684*s**2 + 12
Let h = -443 - -469. Find the third derivative of -h*z**3 - 2*z**3 - 24*z**2 - 19*z**3 + 138*z**2 wrt z.
-282
Let i(y) = -86