**4
Let k(x) = 3*x + x - 3*x. Let y(a) = 39*a - 62*a + 37*a. Calculate k(y(t)).
14*t
Let y(d) = -5*d + 0*d - 6*d + 4*d. Let z(j) = 6*j. Determine y(z(a)).
-42*a
Let q(m) = 3*m**2. Let o(d) = -d. Suppose -10 + 0 = -5*i - g, -7 = i + 2*g. Suppose 8*x - i*x - 25 = 0. Let s(f) = -6*f. Let c(t) = x*o(t) - s(t). Give q(c(r)).
3*r**2
Let w(h) = h**2 + 27. Let m(b) = 3*b**2. Determine m(w(g)).
3*g**4 + 162*g**2 + 2187
Let a(d) be the first derivative of 8*d**3/3 + 57. Let p(g) = -6*g. What is a(p(s))?
288*s**2
Let a(p) = -2085*p**2. Let i(d) = -2*d**2. Calculate a(i(u)).
-8340*u**4
Let f(w) = 1799*w**2. Let r(l) = -l. What is f(r(t))?
1799*t**2
Let h(x) = 33*x. Let r(j) = 3*j**2 - 11. Calculate r(h(a)).
3267*a**2 - 11
Let v(c) = 22*c**2. Let a(y) be the first derivative of y**2 + 16. What is a(v(n))?
44*n**2
Let a(t) = -26422*t**2. Let z(m) = -m. Give a(z(p)).
-26422*p**2
Let i(t) be the first derivative of -2*t**3/3 - 1. Let q(m) = 2*m - 3. Let b(o) = 3*o - 5. Let z(d) = 3*b(d) - 5*q(d). Calculate z(i(p)).
2*p**2
Let w(q) = -q. Suppose -5*u = -9 - 1. Let x(p) be the first derivative of 1/2*p**u + 1 + 0*p. Give w(x(r)).
-r
Suppose 4*h = 9 - 1. Let q(t) = -h*t - 19 + 19. Let p(f) = -2*f**2. Determine q(p(y)).
4*y**2
Suppose 4*g + w = 21 - 8, -3*w = -3*g + 21. Let x(f) = 0 - 3*f + g*f + 0. Let u(s) = -11*s. What is x(u(t))?
-11*t
Suppose -3*a - 2*q - 1 = -3, 3*a - 2*q = 22. Suppose -a*r + r + 39 = 0. Let x(f) = 4*f + r - 13. Let d(w) = -w. What is x(d(h))?
-4*h
Let p(s) = -236*s**2. Let w(c) = -16*c**2. Calculate p(w(l)).
-60416*l**4
Let s(m) = 19*m**2. Let w(o) = -23*o. What is s(w(n))?
10051*n**2
Let v(j) = -482*j**2. Let o(a) = -2*a. What is o(v(p))?
964*p**2
Let p = 8 + -4. Let q(b) = -p*b**2 + b**2 + 3*b**2 - 2*b**2. Let l(m) = -4*m**2. Determine l(q(k)).
-16*k**4
Let s(z) = z + 463. Let v(h) = -2*h. Determine s(v(i)).
-2*i + 463
Let f(g) = 2*g - 1146. Let l(p) = 2*p**2. What is f(l(b))?
4*b**2 - 1146
Let t(p) = 6*p. Let l(n) = -2*n. Let i(c) = 10*l(c) + 3*t(c). Let v(k) be the second derivative of -1/3*k**3 + 0 + 0*k**2 + 2*k. Give i(v(h)).
4*h
Let o(v) = v. Let d(x) = -2*x. Let a(r) = -3*d(r) - 4*o(r). Let n(s) be the first derivative of s**2/2 + 1. Determine n(a(g)).
2*g
Let j(k) be the second derivative of -k**4/12 + 27*k. Let p(n) = -20*n**2. Determine j(p(w)).
-400*w**4
Let k(o) = -4*o**2 + 4*o. Let a(l) = 7*l**2. Determine k(a(x)).
-196*x**4 + 28*x**2
Let a(f) = f**2. Let s be 24/16 - 3/2. Let c(j) be the second derivative of 0*j**2 + 3*j + 1/6*j**3 + s. Give a(c(m)).
m**2
Let k(o) = 2*o + 681. Let r(t) = -t**2. Calculate k(r(h)).
-2*h**2 + 681
Let c(h) = -6*h + 7*h + 0*h. Let m(q) = -2*q. Determine m(c(p)).
-2*p
Let v(o) = o**2 + o + 1. Let b(j) = -5*j**2 - 4*j - 4. Let g(x) = -b(x) - 4*v(x). Let u(f) be the third derivative of f**5/10 + 2*f**2. Give u(g(t)).
6*t**4
Let o = -2 + 6. Let w(c) = 4 + c - o. Let r(s) be the first derivative of -s**2/2 - 1. Determine w(r(k)).
-k
Let l(w) = 13*w**2 + 76*w. Let b(n) = n**2. What is l(b(g))?
13*g**4 + 76*g**2
Let w(g) = 2*g. Let s(c) = 2*c**2 - 178*c - 5. Determine w(s(m)).
4*m**2 - 356*m - 10
Let i(a) = -2*a - 383. Let m(f) = f. Calculate m(i(p)).
-2*p - 383
Let u(f) = 10*f**2 + 5*f + 5*f - 6*f**2. Let q(a) = a**2. Determine q(u(r)).
16*r**4 + 80*r**3 + 100*r**2
Let q(g) be the second derivative of -g**3 + 3*g. Let y(l) = l - 6. Let i = 3 - 10. Let a(h) = -h + 7. Let z(t) = i*y(t) - 6*a(t). Determine z(q(o)).
6*o
Let r(w) = -4*w. Suppose -2 - 8 = -2*l. Let i = l - 5. Let s(x) = -x + 0 + i + 0. Calculate r(s(z)).
4*z
Let z(b) = -2*b**2. Let r(u) = -u**2 + 7*u + 6. Let j be r(7). Suppose -15 = s - j*s - 5*c, -3*c = -3. Let p(d) = -4*d**2 + s*d**2 + 0*d**2. Give z(p(y)).
-8*y**4
Let c(s) = 5*s. Let r(w) = -66*w. Let f(m) = -27*c(m) - 2*r(m). Let o(v) = v - 4. Let j be o(4). Let n(l) = 0*l + j*l + 2*l**2. Calculate f(n(x)).
-6*x**2
Let f(a) = -3*a**2. Let s(c) = -82*c. Determine f(s(h)).
-20172*h**2
Let k(z) = -5*z**2. Let c be (-3)/(4 + 15/(-3)). Let l(s) be the first derivative of 0*s - 1 + 2/3*s**c + 0*s**2. What is l(k(f))?
50*f**4
Let t(x) be the third derivative of -x**4/24 + 6*x**2. Let w(m) = 12*m**2. Determine w(t(l)).
12*l**2
Suppose -2*k = d - 5, 4*k - 4*d = 5 - 1. Let n(o) = -o**2 + k*o**2 + 3*o**2. Let r(h) = -3*h - 5*h + 4*h + 5*h. What is n(r(y))?
4*y**2
Let k(q) = 2*q**2. Suppose -3*y + 3*o + 9 = 0, 24 = 6*y - 2*y + 2*o. Let s(z) = -6*z - y*z - 5*z + 2*z. Give s(k(p)).
-28*p**2
Let z(l) = -8*l**2 + 2. Let q(m) = -9*m**2 + 3. Let b(d) = 2*q(d) - 3*z(d). Let k(i) = -6*i**2. Calculate b(k(a)).
216*a**4
Let f(j) = 40*j. Let h(g) = -7*g. What is f(h(t))?
-280*t
Let w(v) = v**2 - 4. Let i(g) = 2*g**2. What is w(i(d))?
4*d**4 - 4
Let n(r) = 30*r. Let w(y) = -27*y - 1. Calculate n(w(u)).
-810*u - 30
Let i(m) = -2*m. Let f(r) be the second derivative of 7*r**3 + 3*r + 5. Determine i(f(w)).
-84*w
Let y(f) = -3*f - 6. Suppose 2*v + v - 6 = 0. Let s(x) = 0 + v*x + 9 - 4. Let c(k) = 6*s(k) + 5*y(k). Let h(z) = z**2. Calculate h(c(l)).
9*l**2
Let z(g) = g**2 - 3. Let n(k) = 2. Let h(w) = -3*n(w) - 2*z(w). Let l(q) be the first derivative of -5*q**3/3 - 20. What is h(l(m))?
-50*m**4
Let r(f) = -7*f**2. Let x(z) = -2*z**2. Calculate r(x(p)).
-28*p**4
Suppose -30 = 2*q - 7*q. Let d(y) = q*y**2 - y**2 - 3*y**2 + y**2. Let n(v) = 0 + 2*v + 0. What is d(n(c))?
12*c**2
Let i(q) = 2*q. Let v(z) = 4*z + 2. Let y(x) = -3*x - 3. Let m(u) = 6*v(u) + 4*y(u). Calculate m(i(g)).
24*g
Let t(r) = -11*r. Let o(c) = 5*c + 11. Let k(q) = q + 2. Let n(b) = 33*k(b) - 6*o(b). Give t(n(j)).
-33*j
Let b(v) = 4*v. Let l(t) be the second derivative of t**4/3 - 13*t. Give b(l(m)).
16*m**2
Let b(d) = 40*d - 2. Let o(f) = 6*f**2. Give o(b(g)).
9600*g**2 - 960*g + 24
Let c(h) = 59*h. Let j(x) = 5*x**2. Calculate c(j(l)).
295*l**2
Let a(j) = -185*j**2. Let i(m) = m**2. Calculate i(a(p)).
34225*p**4
Let d(a) = 2*a. Let p(u) = u**2 - 472*u. Give p(d(w)).
4*w**2 - 944*w
Let x(g) = 2*g - 4. Let j(b) = 31*b. What is j(x(f))?
62*f - 124
Let i(a) = 9*a**2 + 14. Let m(x) = 2*x**2. Give m(i(z)).
162*z**4 + 504*z**2 + 392
Let m(o) = o. Let f = -15 - -28. Let d(c) = 4*c - 13 + f. Determine m(d(j)).
4*j
Let n(c) = 27*c - 59*c + 31*c. Let l(g) = g + 3. Let t(w) = w + 1. Let a(i) = l(i) - 3*t(i). Determine a(n(k)).
2*k
Let q(j) be the first derivative of j**3 + 3. Let w(g) be the first derivative of 1 + 0*g + 0*g**2 + 1/3*g**3. What is w(q(f))?
9*f**4
Let g(w) = -13*w - 18*w + 14*w. Let j(h) = h. Calculate j(g(l)).
-17*l
Let a(x) = x. Let c(i) = 5*i - 9*i - 8*i - 3*i. Calculate a(c(l)).
-15*l
Let j = 3 - -3. Let x(t) = 6 + 0*t**2 + 5*t**2 - j. Let p(o) = o. Give x(p(a)).
5*a**2
Let g(l) = -l**2. Let m be 1/3 + 28/6. Suppose 5*s + m*u - 25 = 0, -s - 4*s = -u - 7. Let t(f) = -3*f**2 + f**s - 2*f**2. Calculate g(t(d)).
-16*d**4
Let n(t) = -26*t. Let s(a) = -123*a. Determine n(s(k)).
3198*k
Let p(u) = -7*u**2. Let b(m) be the first derivative of m**2 - 8. Calculate b(p(k)).
-14*k**2
Let g(p) = -2*p. Let z(v) = 1736*v. What is g(z(d))?
-3472*d
Let k(t) = 5*t**2. Let x(i) = -i + 423. Calculate x(k(v)).
-5*v**2 + 423
Let r(f) = -17*f. Let y(q) = 4*q**2 - 4*q**2 - 3*q**2. Determine y(r(h)).
-867*h**2
Let o(u) = -1042*u + 1. Let z(d) = -d. What is z(o(w))?
1042*w - 1
Let u(o) be the third derivative of 0*o**3 + 1/30*o**5 + 0 + 0*o**4 + 0*o + 2*o**2. Let s(n) = 0*n**2 - 4*n**2 + 3*n**2. Give u(s(t)).
2*t**4
Let g(v) be the first derivative of 2*v**3/3 - 27. Let z(c) = c - 1 + 1. Give g(z(f)).
2*f**2
Let j(n) be the third derivative of n**8/10080 - n**5/15 - 4*n**2. Let p(k) be the third derivative of j(k). Let d(r) = 2*r**2. Calculate d(p(t)).
8*t**4
Let b(k) be the third derivative of 0*k + 0 - 2*k**2 - 1/12*k**4 + 0*k**3. Let d(w) = -w**2. Calculate b(d(a)).
2*a**2
Let t(i) = -2*i**2. Let w(l) = 183*l**2. Calculate t(w(k)).
-66978*k**4
Let y(p) = -p. Let o(r) = 17*r + 7. Let a(u) = -17*u - 6. Let n(s) = 7*a(s) + 6*o(s). Calculate n(y(l)).
17*l
Let o(r) = -r. Suppose k - 2*u = -4, 5 = -3*k + k + 3*u. Let w be (3*4/3)/k. Let m(h) = -2*h. Let y(p) = 4*p. Let d(f) = w*y(f) + 5*m(f). Determine o(d(j)).
2*j
Suppose a + 5*f + 9 - 31 = 0, 16 = 4*a - 4*f. Suppose -5*p = 3*o - 40, 5*o - 3 - a = 3*p. Let k(n) = n - p*n + n. Let w(r) = -r. What is w(k(b))?
3*b