t**4 + 516*t**2
Let c(t) = -55*t - 2. Let l(m) = m**2 + 3*m - 3. Let b(w) = 2*w**2 + 5*w - 5. Let a(q) = -3*b(q) + 5*l(q). Determine c(a(r)).
55*r**2 - 2
Let h(z) = -205*z**2. Let s(p) = -p + 8. Let j(o) = 5*o - 36. Let q(n) = 2*j(n) + 9*s(n). Give q(h(f)).
-205*f**2
Let d(x) = -36*x**2 + 2*x**2 + 90*x**2. Let f(i) = -i**2. Calculate d(f(k)).
56*k**4
Let f(g) be the third derivative of 223*g**5/30 - 106*g**2. Let u(a) = 2*a**2. Calculate u(f(m)).
397832*m**4
Let r(p) = -1576*p**2. Let l(q) = 4*q. Calculate r(l(j)).
-25216*j**2
Suppose -5*x = -g + 20, 0 = x + 4*x + g + 20. Let a(r) = -5*r**2 + 4*r - 4. Let u(p) = -p**2 + p - 1. Let t(o) = x*u(o) + a(o). Let k(h) = 37*h. Give t(k(c)).
-1369*c**2
Let p(z) be the third derivative of -z**5/30 - 85*z**2. Let s(j) be the first derivative of 8*j**2 + 10*j**2 - 21*j**2 + 15*j**2 + 1. Determine s(p(u)).
-48*u**2
Let a(p) = 2*p**2 - 17*p. Let z(q) = -22210*q + 22210*q + q**2. What is a(z(h))?
2*h**4 - 17*h**2
Let h(a) be the second derivative of -7/12*a**4 + 10 - a + 0*a**3 + 0*a**2. Let s(i) = 2*i. Determine h(s(x)).
-28*x**2
Let g(d) = -d**3 - 7*d**2 - d - 2. Let k be g(-7). Let f(p) = k - p - 5. Let u(a) be the third derivative of a**4/8 - 115*a**2. Give u(f(r)).
-3*r
Let b(l) = -14*l**2. Let k(p) be the first derivative of 3*p**2/2 - 85. What is k(b(v))?
-42*v**2
Suppose o = 5*k - 3, -3*o + 2*k = -9 - 8. Suppose o*w = w. Let f(y) = w*y + 0*y - 2*y + 5*y. Let b(g) = -8*g**2. Calculate b(f(s)).
-72*s**2
Let n(r) = -r - 6. Let o(x) = -20*x**2 - 15*x + 1. Determine o(n(t)).
-20*t**2 - 225*t - 629
Let s(a) = -2130*a. Let t(u) = 3*u**2. What is s(t(n))?
-6390*n**2
Let a(d) = -34*d**2 + 2. Let r(l) be the first derivative of 2*l**3/3 + 81. Determine a(r(k)).
-136*k**4 + 2
Let f(z) be the second derivative of z**4/12 - 2*z - 279. Let k(m) = 8 - 9 + 1 - 12*m**2. What is k(f(w))?
-12*w**4
Let o(s) = 5*s. Let j(f) = -14412 + 14412 + 17*f. Give j(o(b)).
85*b
Let d(s) = -160486*s + 1. Let q(a) = -8*a. Give d(q(z)).
1283888*z + 1
Let l(h) = 95459*h. Let r(d) = -d**2. Give r(l(s)).
-9112420681*s**2
Let a(s) be the second derivative of s**3/6 - s. Let x(c) = -3*c + 4. Let d(b) = 7*b - 9. Let t = 80 + -71. Let l(v) = t*x(v) + 4*d(v). Determine l(a(m)).
m
Let p(n) = -3*n + 0*n - 3*n + n. Let x(l) = -3*l. Let y(i) = i. Let u(g) = 2*x(g) + 5*y(g). Give u(p(r)).
5*r
Let p(v) = 11*v. Let x(l) = 1305*l**2. Give x(p(u)).
157905*u**2
Let o(l) = -l**2. Let s(w) be the third derivative of -w**5/8 + w**3 + 14*w**2. Let m(k) be the first derivative of s(k). What is o(m(h))?
-225*h**2
Let j(h) = -310*h**2. Let t(r) = 4*r + 58. Determine t(j(p)).
-1240*p**2 + 58
Let h(b) = -8*b. Let r(o) be the third derivative of o**7/1260 + 7*o**4/12 + 6*o**2. Let c(z) be the second derivative of r(z). Give h(c(a)).
-16*a**2
Let j(p) be the third derivative of p**4/2 - 28*p**2. Let m(z) = -3*z + 5. Let d(h) = 8*h - h - 8*h + 1 + 1. Let w(v) = 5*d(v) - 2*m(v). What is j(w(o))?
12*o
Let k(s) = s. Suppose -72 = -5*v + 4*g + 168, -4*g - 96 = -2*v. Let u(f) = 27*f + v*f - 62*f. Determine k(u(w)).
13*w
Let n(v) = -9*v + 21*v - 12*v - 10*v. Let u(o) = 2*o**2 + 8. Let m(s) = 7*s - 3 - 7*s - s**2. Let g(c) = -8*m(c) - 3*u(c). Give n(g(t)).
-20*t**2
Let k(t) = 1776*t**2. Let v(b) = -19*b**2. Give v(k(w)).
-59929344*w**4
Let v(x) = 2*x**2. Let o(l) be the second derivative of -l**3 - 5*l. Let h(q) = -q. Let b(t) = 6*h(t) - 2*o(t). Determine v(b(c)).
72*c**2
Let o(w) = 74*w**2 + w. Let a(q) = -2390*q. Determine o(a(u)).
422695400*u**2 - 2390*u
Let a(l) = 9*l - 2. Let m(p) = -45*p + 11. Let z(b) = -11*a(b) - 2*m(b). Let x(t) = 9*t. Give x(z(u)).
-81*u
Let p(a) = 124*a + 775. Let t(u) = u + 5. Let h(s) = p(s) - 155*t(s). Let l(q) = 3*q + 5. Let m(k) = -4*k - 6. Let y(r) = 6*l(r) + 5*m(r). What is h(y(j))?
62*j
Let c(l) = 2*l. Let u(q) = q**2 - 5*q + 6. Let s be u(4). Let j(k) = 5*k**2 - 21*k**s + 0*k**2 - 12*k**2. Give j(c(g)).
-112*g**2
Let t(v) = 168890*v. Let y(z) = -z**2. Calculate t(y(c)).
-168890*c**2
Let j(x) = -x. Let f(k) be the third derivative of 0*k**4 + 2/15*k**5 + 0*k - 4*k**2 + 0 + 0*k**3. Calculate f(j(r)).
8*r**2
Let p(o) = -o**2. Suppose -n + 6*n = 175. Let y(a) = 25*a - 21*a + 19*a + n*a. What is p(y(f))?
-3364*f**2
Let q(b) be the second derivative of -b**3/3 + 604*b. Let m(j) = 3*j**2 - 29. What is m(q(i))?
12*i**2 - 29
Suppose -x = -2, -2*g = -2*x - x - 2. Suppose -g*k + 3*k = -1. Let p(n) = 2*n**2 - k - 4 + 5. Let o(y) = y**2. Determine o(p(v)).
4*v**4
Let j(t) = 20*t + 3. Let k(i) = -74*i - 11. Let r(u) = -22*j(u) - 6*k(u). Let x(b) = 4*b. Let z(f) = 4*f. Let o(s) = -2*x(s) + 3*z(s). Give o(r(a)).
16*a
Let p(s) be the first derivative of 0*s**2 + 5*s**2 - 12*s**2 + 20 + 1. Let w(j) = -2*j. Determine p(w(a)).
28*a
Let q(g) = 3*g. Let z(t) = 2*t**3 - 4*t**2 - 10*t + 12. Let d be z(3). Let b(m) be the second derivative of 1/3*m**3 + d - 4*m + 0*m**2. Determine b(q(l)).
6*l
Let b(q) = 5*q. Let d(z) be the second derivative of 0*z**3 + 0 + 5/12*z**4 + 0*z**2 + 9*z. What is d(b(v))?
125*v**2
Let s(u) = -48*u. Let p(m) = -122*m + 10. Calculate p(s(r)).
5856*r + 10
Let c(b) be the third derivative of 0 + 0*b - b**2 + 1/8*b**4 + 0*b**3. Let g(k) = 13*k + 12. Let o(q) = -2*q - 2. Let z(d) = g(d) + 6*o(d). Determine z(c(n)).
3*n
Let x(j) = 46*j - 11. Let w(a) = -10*a. Determine x(w(m)).
-460*m - 11
Let n(w) = 2*w - 2*w - w + 5*w. Let z(y) = -42*y + 78*y - 37*y. Calculate n(z(l)).
-4*l
Let l(x) = -113368*x. Let p(y) = y**2. What is p(l(o))?
12852303424*o**2
Let q(s) = 7*s. Let h(u) = u + 3. Let f(b) = -31*b**2 - b - 3. Let i(p) = 2*f(p) + 2*h(p). Determine q(i(x)).
-434*x**2
Let p(v) be the second derivative of -v**3 + 485*v. Let g(y) = -y**2 + 13*y. Calculate g(p(l)).
-36*l**2 - 78*l
Let k(z) = -2539578*z. Let a(s) = 2*s**2. Determine a(k(n)).
12898912836168*n**2
Let r(t) = -5*t**2. Let j(z) = -2843*z + 2843*z - 2*z**2 + 0*z**2. Calculate r(j(g)).
-20*g**4
Let n(k) = -9*k**2. Let w(c) = c + 1. Let o = 36 - 34. Let l(i) = 4*i + 2. Let a(b) = o*w(b) - l(b). Determine a(n(r)).
18*r**2
Let x(g) = -4*g**2. Suppose c = -4*c. Suppose -12 = -3*r + 2*u - u, c = -5*r - 5*u. Let n(k) = 3*k**2 - 3*k + r*k. Give x(n(j)).
-36*j**4
Let a be 0 + 8/(-3 + -1). Let v be 5/(5/a) + 6. Let w(x) = 2*x**2 - 5 + 9 - v. Let i(p) = 7*p. Determine w(i(d)).
98*d**2
Let s(n) = -11*n**2 + 886. Let t(o) = 19*o**2. What is s(t(m))?
-3971*m**4 + 886
Let t(v) = -v**2. Let m(x) be the first derivative of -7*x**4/24 - 9*x**2/2 + 10. Let o(n) be the second derivative of m(n). Calculate o(t(g)).
7*g**2
Let f(x) = 26*x. Let v(p) = -9*p. Let o(a) = 6*f(a) + 17*v(a). Let c(w) be the first derivative of -3*w**2/2 - 26. Calculate c(o(k)).
-9*k
Let m(k) = k**2 + 11*k**2 + 3*k**2. Let a(c) be the third derivative of -c**5/30 + 128*c**2 + 1. What is m(a(j))?
60*j**4
Let f(h) = -7*h**2 + 56*h - 56*h. Let x(v) = v + 1. Let b(p) = -1 + 2*p**2 - 2*p - p**2 + 5*p - 4*p. Let t(j) = -b(j) - x(j). Determine f(t(y)).
-7*y**4
Let a(n) = -3*n. Let x(q) = -7*q**2 + 221*q + 1. What is a(x(p))?
21*p**2 - 663*p - 3
Let j(a) = -20 - 5*a + 7 + 0*a - 9. Let b be j(-5). Let r(x) = -41*x - b + 43*x + 3. Let y(w) = w**2. Give y(r(g)).
4*g**2
Let d(s) = s - 6. Let a(w) = 3*w - 27. Let c(q) = 2*a(q) - 9*d(q). Let y(z) = 63*z. Determine y(c(r)).
-189*r
Let s(a) = 5*a**2. Let g(m) = 1747*m. Calculate g(s(w)).
8735*w**2
Let p(q) = 8*q**2 - 2*q. Let c(n) be the second derivative of -n**3/3 + 45*n. Calculate c(p(u)).
-16*u**2 + 4*u
Let q(w) = -2*w**2 - 65. Let r(d) be the second derivative of -7*d**4/12 + 246*d. What is r(q(i))?
-28*i**4 - 1820*i**2 - 29575
Let q(n) = -2*n**2 - 1361*n + 1. Let f(i) = -2*i. Calculate q(f(g)).
-8*g**2 + 2722*g + 1
Let q(z) = -9*z**2 + 8*z. Let p(x) = 83*x. Determine q(p(g)).
-62001*g**2 + 664*g
Let g(t) = -766*t + 382*t + 380*t. Let w(h) = -381 - 9*h**2 + 381. Determine w(g(p)).
-144*p**2
Let t(b) = -b + 5. Let v be t(0). Let s(a) = v*a + a - a - 2*a. Let i(q) = 7*q**2. What is i(s(u))?
63*u**2
Let v(p) = 48*p**2. Let k(r) = -30*r - 4. Let c(y) = 83*y + 11. Let t(n) = 4*c(n) + 11*k(n). Determine t(v(l)).
96*l**2
Let i(p) = 5*p**2 + 24*p + 8. Let t(x) = -2*x**2 - 9*x - 3. Let f(j) = 3*i(j) + 8*t(j). Let k be (-2)/(-2)*(2 - -1). Let m(n) = n - n - k*n. Determine f(m(c)).
-9*c**2
Let o(