v - 8601. Determine g(k(p)).
416*p**2 - 8585
Suppose 6*k = 10*k - 12. Let g(m) = -m + k*m - 5457 + 5457. Let y(f) = -289*f**2. Determine g(y(x)).
-578*x**2
Let i(v) = -6084*v - 5. Let b(u) = -539*u. Calculate i(b(g)).
3279276*g - 5
Let z(g) = 807*g. Let w(o) = -20*o - 274. Calculate w(z(t)).
-16140*t - 274
Let j(x) = x**2. Let v(p) = 8*p - 2447559. Give v(j(m)).
8*m**2 - 2447559
Let c(a) = 4*a. Let u be 2/(-5) - (96/(-15) - 5). Suppose -2*x = p - 4*x - 9, p - 3*x = 8. Let y(d) = 10*d + p*d - u*d. Determine c(y(n)).
40*n
Let i(k) = k. Let u(l) = 2*l. Suppose 0 = -g + 5, 2*h - 23 - 24 = -5*g. Suppose h = 4*b - 1. Let c(p) = b*i(p) - 3*u(p). Let v(n) = -9*n**2. What is c(v(r))?
27*r**2
Let i(f) = 23567*f. Let b(l) = 4495*l. Give b(i(j)).
105933665*j
Let q(v) = 22089*v - 8993. Let d(x) = 2*x. Calculate d(q(y)).
44178*y - 17986
Let r(c) be the third derivative of -1/8*c**4 + 0*c**3 + 0*c + 0 + 26*c**2. Let i(q) be the third derivative of q**5/60 - 18*q**2. Calculate i(r(y)).
9*y**2
Let k(g) = 477*g**2. Let l(r) = 4*r + 6*r - 25*r + 8*r + 9*r. Give k(l(m)).
1908*m**2
Let x(d) = -d**2. Let i(r) = 21986540*r**2. What is x(i(s))?
-483407941171600*s**4
Let a(t) = 2*t - 80. Let b(n) = 5*n - 180. Let h(w) = -9*a(w) + 4*b(w). Suppose 3*d - 22 = -5*m, 4*m + 2 = d + 6. Let k(p) = -3 + 3 - d*p - 16*p. Give k(h(z)).
-40*z
Let w(l) = -2*l**2. Suppose -o + 4*h = -33 + 5, -h - 7 = -2*o. Let i(t) be the second derivative of 0*t**3 + o*t**2 + 22*t + 1/6*t**4 + 0. What is w(i(c))?
-8*c**4
Let d(w) = -111*w**2. Let i(z) = 20242*z. Determine d(i(c)).
-45480980604*c**2
Let u be -5 + 10 - 11 - (-9 + 1 + 2). Let i(t) be the third derivative of 0 + u*t**3 + 32*t**2 + 0*t + 1/24*t**4. Let f(p) = 19*p**2 + 2*p. Calculate f(i(c)).
19*c**2 + 2*c
Let c(m) = 2*m**2. Let o be (1 - (-15 + -3)) + 5/(-5). Let d(s) = 16 + o + s**2 - 34. Calculate d(c(t)).
4*t**4
Let k(y) = -4*y**2. Let n(o) = -64538*o + 3174. Let r(d) = 20*d - 1. Let q(v) = n(v) + 3174*r(v). Determine q(k(b)).
4232*b**2
Let h(l) = 1014*l. Let k(n) = n**2 - 1744*n - 1. Give h(k(m)).
1014*m**2 - 1768416*m - 1014
Let a(p) = 2*p**2. Let x(n) = 16*n + 6. Let d(b) be the first derivative of b + 1/2*b**2 + 8. Let h(r) = 6*d(r) - x(r). Determine h(a(i)).
-20*i**2
Let w(m) = 18*m**2 + 575*m. Let o(x) = -28*x - 4. Give o(w(c)).
-504*c**2 - 16100*c - 4
Let m(a) = -61*a**2 + 4*a - a + 3*a + 3*a - 10*a. Let w(i) = -i**2. What is m(w(k))?
-61*k**4 + k**2
Let l(m) = 9*m + 883. Let p(a) = -275*a. Calculate l(p(f)).
-2475*f + 883
Let g(r) = 115*r + 66450. Let q(w) = -3*w. Determine q(g(l)).
-345*l - 199350
Let n(y) = 27*y + 5. Let g(o) be the first derivative of 41*o**2 + 14*o + 114. Let p(r) = -5*g(r) + 14*n(r). Let h(v) = 5*v. Determine p(h(q)).
-160*q
Let t(o) = -13*o. Let u be (2 + 0)/(-2) + 36. Let z(c) = -9*c + 8*c + 1298 - 1297. Let a(w) = -42*w + 35. Let l(g) = u*z(g) - a(g). Determine t(l(n)).
-91*n
Let d(c) = -3*c + 323. Let y(v) = -8*v + 648. Let l(o) = 5*d(o) - 2*y(o). Let a(q) = 7*q. Calculate a(l(b)).
7*b + 2233
Let b(c) = -46*c. Let u(i) be the first derivative of -i**3/3 - 3*i**2/2 + 3*i - 97. Let f(l) = l**2 + 5*l - 5. Let n(d) = 3*f(d) + 5*u(d). Give b(n(k)).
92*k**2
Suppose -n - 3*p - 24 + 9 = 0, 0 = -2*n - 4*p - 20. Let w(d) be the first derivative of 23 + n*d**2 + 0*d + 5/3*d**3. Let k(x) = -7*x. What is k(w(a))?
-35*a**2
Let q be (72/(-56) + (-2)/(-7))/((-1)/2). Let d(w) be the first derivative of 13 + 2/3*w**3 + 0*w**q + 0*w. Let p(j) = 15*j**2. What is p(d(c))?
60*c**4
Let v(y) = y**2 + 62*y. Let d(u) be the third derivative of u**6/360 - 37*u**3/3 - 47*u**2. Let b(g) be the first derivative of d(g). What is v(b(p))?
p**4 + 62*p**2
Let l(f) = -f. Let u(t) be the second derivative of 8*t**3 + 9*t**2 - 223*t - 4. Determine u(l(q)).
-48*q + 18
Let p(m) = -4132*m. Let o(f) = -468*f + 5. What is p(o(k))?
1933776*k - 20660
Let a(s) be the third derivative of 0*s - 4*s**2 + 12 - 1/30*s**5 + 0*s**4 + 0*s**3. Let r(q) = -9*q. What is a(r(m))?
-162*m**2
Let l(b) = -106*b**2 - 4*b - 40. Let o(s) = 531*s**2 + 21*s + 210. Let m(h) = -21*l(h) - 4*o(h). Let w(c) = 6*c. Calculate w(m(x)).
612*x**2
Let v(b) = -34*b**2 - 3*b + 3*b. Let w(h) be the third derivative of h**5/30 - 96*h**2 + 1. Give w(v(a)).
2312*a**4
Let k(o) = 3*o - 3*o + 1593*o**2 - 1590*o**2. Let x(p) = -313*p**2. Calculate x(k(y)).
-2817*y**4
Let m(d) = 313343593*d. Let z(a) = -2*a. What is m(z(b))?
-626687186*b
Let p = -42 + 44. Let w(o) = -40*o**2 + 99*o**2 - 13*o**p. Let d(r) = r**2. Give d(w(i)).
2116*i**4
Let g(d) = -23343914*d. Let m(i) = i**2. Determine g(m(b)).
-23343914*b**2
Let x = 39 + -38. Let l(b) = 30 - 49*b - x + 1 + 51*b. Let h(c) = c. Calculate l(h(a)).
2*a + 30
Let a(h) = 247*h**2 + 3003*h - 6003*h + 3000*h. Let d(t) = 4*t. What is a(d(m))?
3952*m**2
Let c(g) = -418281*g**2. Let r(u) = 2*u + 112. What is r(c(a))?
-836562*a**2 + 112
Let u(g) be the first derivative of 2/3*g**3 - 35 + 0*g + 0*g**2. Let m(p) = 13*p + 40*p**2 - 13*p. Give u(m(s)).
3200*s**4
Let q(y) = 1452309*y - 15. Let p(v) = -v. Determine p(q(i)).
-1452309*i + 15
Let y(h) = 234104*h**2. Let s(a) = 13*a**2. What is y(s(t))?
39563576*t**4
Let k(l) = 2*l + 2. Let t(h) = -7*h - 38. Let b be 17/(-3) - 105/(-63). Let m(u) = b*k(u) - t(u). Let j(i) = 6*i**2. Calculate m(j(v)).
-6*v**2 + 30
Suppose -71*q + 76*q = 165. Let o(y) = -24*y + y - y - q*y. Let x(c) = -2*c**2. Calculate o(x(m)).
114*m**2
Let g(p) = p. Let j(l) be the second derivative of 85*l**4/12 - l**3/6 - 941*l. Calculate j(g(u)).
85*u**2 - u
Let w(h) = 13*h**2. Let r(t) be the third derivative of 1/12*t**4 + 6*t**2 + 0*t**3 + 0*t + 0. Give r(w(g)).
26*g**2
Let i(o) = 3*o**2 + 4. Let b(m) = 15*m**2 + 21. Let j(z) = 4*b(z) - 21*i(z). Let f(c) be the second derivative of c**3/2 - 394*c + 9. Determine f(j(s)).
-9*s**2
Let m(x) = -5*x - 36. Let f(z) = 11*z + 81. Let n(i) = 4*f(i) + 9*m(i). Let w(v) = -11321*v. What is w(n(h))?
11321*h
Let w(r) = -169*r. Let v(x) = 63 + 245 - 5*x - 308. Calculate w(v(z)).
845*z
Let j(c) = -3*c. Let d(r) = 19*r**2 - 93*r. Let v(g) = 5*g**2 - 22*g. Let k(m) = 4*d(m) - 15*v(m). Calculate k(j(y)).
9*y**2 + 126*y
Let k(n) be the third derivative of 54*n**2 + 0*n + 0*n**3 + 1/4*n**4 + 0. Let d(r) = 3*r. Give k(d(o)).
18*o
Let o(b) = 23*b. Let i(u) be the second derivative of u**7/315 + 79*u**4/4 - 3*u - 18. Let h(p) be the third derivative of i(p). Calculate o(h(d)).
184*d**2
Let r(f) = -f. Let g(c) = 30 + 0*c**2 - 606*c**2 + 168*c - 168*c - 27. What is g(r(n))?
-606*n**2 + 3
Let h(t) = t**2. Let c(z) be the third derivative of -99*z**4/8 + 3269*z**2. What is h(c(i))?
88209*i**2
Suppose -2*c + 3*c - 37 = -5*a, -4*c - 20 = -a. Let t(f) = 8*f - a*f - 7*f. Let l(k) = -17*k. Give l(t(h)).
119*h
Let r = -22 - -65. Let a(i) = r - 43 + i. Let u(g) = -2*g - 2. Let z(w) = 1. Let o(s) = -4*u(s) - 8*z(s). Give o(a(c)).
8*c
Suppose -3*n = -6*n. Let t(x) = -x**2 + n*x**2 + 3*x**2. Let p(w) be the third derivative of w**5/60 + 2*w**2 - 10*w + 33. Give t(p(r)).
2*r**4
Let f(g) = 3*g. Let w(b) = -87123130*b - 2. Calculate w(f(z)).
-261369390*z - 2
Let j(x) = -614*x**2. Let g(c) = 2*c**2 - 7*c - 21. Let p(u) = u**2 - 3*u - 9. Let q(y) = -3*g(y) + 7*p(y). Calculate q(j(m)).
376996*m**4
Let x = 999 + 346. Let a(z) = -2*z + x - 1345 + 0*z. Let h(f) = -248*f**2. What is a(h(k))?
496*k**2
Let c(o) = 144252*o**2. Let x(t) = 29*t**2. Calculate x(c(s)).
603450545616*s**4
Let m(r) = -2*r. Let z(c) = 9536160*c. Calculate z(m(s)).
-19072320*s
Let o = 43 - 38. Suppose t + t - 8 = h, o*h + 4*t = 30. Let n(y) = 9*y**2 + 14*y**2 - 21*y**h. Let m(r) = -2*r. Calculate m(n(k)).
-4*k**2
Let i(q) = -3*q**2 + 113*q. Let y(v) be the third derivative of -5*v**4/24 + 413*v**2. Give y(i(j)).
15*j**2 - 565*j
Let w(a) be the second derivative of -1/12*a**4 - 2 - 30*a - 7/6*a**3 + 0*a**2. Let k(g) = -2*g. Determine k(w(n)).
2*n**2 + 14*n
Let s(w) = -6*w + 35. Let o(d) = 192191*d. Give s(o(z)).
-1153146*z + 35
Let f(l) = 135*l + 1. Let n(i) = i**2 - 37052*i + 1. Give f(n(b)).
135*b**2 - 5002020*b + 136
Let u(w) = 38119*w - 76830*w + 37883*w. Let o(q) = -7*q**2. What is u(o(j))?
5796*j**2
Let z(f) = -2*f**2. Let v(p) = 8*p - 2 + 3 + 1 - 49*p - 35*p. Calculate z(v(t)).
-11552*t**2 + 608*t - 8
Let h(y) = -14*y**2. Let k = 16830 + -16796. Let 