36*r**3 - 18*r**2
Let q(m) be the first derivative of -m**2/2 + 1. Let t(u) = -7*u**2. Determine t(q(p)).
-7*p**2
Let d(z) = z. Let c(x) = -2*x**2 + 6*x. Let w(l) = c(l) - 6*d(l). Let u(o) = -11*o**2. Let k(f) = -32*f**2. Let r(h) = 6*k(h) - 17*u(h). Give r(w(g)).
-20*g**4
Let t(x) = x**2 + 11. Let o(h) = -h**2. Determine o(t(f)).
-f**4 - 22*f**2 - 121
Let h(d) = -5*d. Let p = 9 - 6. Let t(l) = p*l + 3*l - 4*l - 3*l. Calculate t(h(q)).
5*q
Let t(r) = -r**2. Let s(d) = -6*d + 7. Give t(s(v)).
-36*v**2 + 84*v - 49
Let z(x) = -x. Let h(p) = 24*p - 5. Let k(g) = 841*g - 174. Let m(i) = 174*h(i) - 5*k(i). Give m(z(n)).
29*n
Let i(l) = 23*l**2. Let u(x) = -x**2. Let a(v) = 7*v**2. Let w(s) = a(s) + 5*u(s). What is w(i(y))?
1058*y**4
Let f(b) = -b**3 + 7*b**2 + 2*b. Let y be f(7). Let u(k) = -3*k - 9*k + y*k. Let w(t) = 3*t. Calculate u(w(h)).
6*h
Let b(q) = -2*q. Let m(a) = -5*a. Let i(h) = 4*b(h) - 2*m(h). Let w(p) = 2*p. What is i(w(u))?
4*u
Let j(v) = 2*v. Let p(f) = -16*f - 38*f + 64*f. Determine p(j(t)).
20*t
Let q(j) = -11*j - 9. Let f(v) = 5*v + 4. Let p(x) = -9*f(x) - 4*q(x). Let k(o) = 6*o. Determine p(k(d)).
-6*d
Let k(c) = -2*c. Let a(u) be the third derivative of -u**4/6 - u**3/2 + 6*u**2. Let j = 1 + -4. Let d(b) = -b - 1. Let l(t) = j*d(t) + a(t). Give k(l(x)).
2*x
Let h(q) = q. Let g(x) = -x - 3. Let y be g(-6). Let d be (y/2)/(3/8). Let i(r) = -r - 2*r - d*r + 4*r. What is h(i(j))?
-3*j
Let j(b) = -2095*b**2. Let w(v) = -v. Determine w(j(n)).
2095*n**2
Let h(u) = -36*u**2 + 1. Let a(k) = -k. Give a(h(r)).
36*r**2 - 1
Let v(p) be the first derivative of -p**2/2 + 1. Let x(a) = -7*a**2 - 4. Let c(d) = 133*d**2 + 77. Let y(j) = -4*c(j) - 77*x(j). What is y(v(z))?
7*z**2
Let q(h) = 147*h. Let u(o) = 3*o. Give u(q(y)).
441*y
Let a(k) = 53*k**2 - 2. Let j(r) = -47*r - 2. Determine j(a(p)).
-2491*p**2 + 92
Let p = 0 + 2. Let x(n) = 6*n + 4*n - 10*n + 2*n**p. Let j(o) be the second derivative of -o**4/12 + o. What is j(x(a))?
-4*a**4
Let b(k) be the second derivative of 3*k**3/2 + k. Let t(l) = -3*l. Calculate t(b(f)).
-27*f
Let w(r) = -35*r. Let s(c) = -117*c. What is w(s(y))?
4095*y
Let i(y) be the third derivative of y**4/24 + y**2. Let x be 1/((-3)/(-15*1)). Let m(b) = 2 + 0 - x*b**2 - 2. Calculate i(m(k)).
-5*k**2
Let t(u) = 5*u**2 + 3*u. Let o(g) = -16*g**2 - 8*g. Let p(c) = -3*o(c) - 8*t(c). Let m(w) = 5*w**2. Determine p(m(h)).
200*h**4
Let t(k) = 24 - 24 - k**2. Let a(u) = -4*u. Determine t(a(b)).
-16*b**2
Let v(s) = -s. Let u = 6 - 6. Let p(i) be the second derivative of 2/3*i**3 + 2*i + 0 + u*i**2. Calculate v(p(q)).
-4*q
Let a(b) = 2*b. Let l(t) be the third derivative of -5*t**4/24 - 2*t**2. Let g(w) = -8*a(w) - 3*l(w). Let j(q) = q. Calculate j(g(i)).
-i
Let j(z) = 2*z. Let q(u) = u**2 - 5*u + 6. Let x be q(4). Let o(b) = b**2 + 2. Let d(c) = c**2 + 1. Let a(f) = x*o(f) - 4*d(f). Calculate a(j(v)).
-8*v**2
Let m(s) = 2*s + 5. Let d(t) be the first derivative of -t**2/2 - 29. Give d(m(r)).
-2*r - 5
Let g(s) = -216*s. Let h(w) = 3*w**2. What is g(h(a))?
-648*a**2
Let u(i) = 3*i + 4. Let d(h) = 3*h**2. Determine u(d(s)).
9*s**2 + 4
Let m(d) = -d + 8. Let c be m(6). Let u(k) = -4*k - c*k - k + 5*k. Let n(w) = 2*w**2. Calculate n(u(a)).
8*a**2
Let p(v) = v - 38. Let i(f) = f**2. Calculate p(i(l)).
l**2 - 38
Let l(y) = y - 1. Let c(t) = -t**2 + 4*t - 4. Let j = -16 + 23. Let d be 3 - (j + 0 + -1). Let a(s) = d*c(s) + 12*l(s). Let z(n) = -3*n. Calculate a(z(w)).
27*w**2
Let i(u) = -18*u**2. Let j(d) = -20*d**2 - 4. What is j(i(l))?
-6480*l**4 - 4
Let g(y) = -321*y. Let o(x) = 3*x**2. Calculate o(g(a)).
309123*a**2
Let y(u) = 19 - 10 + 6*u - 9. Let k(w) = -w**2. What is k(y(v))?
-36*v**2
Let x(o) = -18*o**2. Let k(j) = 154*j**2. Give x(k(c)).
-426888*c**4
Let a(j) be the first derivative of -9*j**2/2 - 1. Let l(s) = -10*s + 3*s + 5*s. Give l(a(d)).
18*d
Let a(n) = -13*n. Let s(u) = -14*u**2. Calculate s(a(c)).
-2366*c**2
Let y(p) = -2*p**2. Let v(f) = 5*f**2. Calculate y(v(a)).
-50*a**4
Let k(l) = -2 + 2*l + 2. Let h(b) = -3*b**2 + 4*b + 4. Let i(g) = -5*g**2 + 7*g + 7. Let x(z) = -7*h(z) + 4*i(z). Calculate k(x(a)).
2*a**2
Let u(c) be the second derivative of c**3/3 + 2*c. Let z(f) = -14*f - 6. Let m(t) = 12*t + 5. Let l(i) = 6*m(i) + 5*z(i). Give u(l(a)).
4*a
Let z(g) = -6*g**2. Let v(u) = -4 + u + 4. Give z(v(x)).
-6*x**2
Let y(w) = w**2. Let q(c) = 15*c**2 - 85*c - 155. Let h(b) = b**2 - 6*b - 11. Let x(a) = -85*h(a) + 6*q(a). Give y(x(p)).
25*p**4 + 50*p**2 + 25
Let a(z) = z**2. Let v(c) = 8*c + 5. Let b = -2 + 9. Let d(t) = -11*t + 6*t - b + 38*t + 28. Let i(k) = 5*d(k) - 21*v(k). What is i(a(g))?
-3*g**2
Let f(p) = -2*p**2 + 3*p. Let y(t) = -11*t**2 + 17*t. Let g(s) = -34*f(s) + 6*y(s). Let l(x) be the first derivative of x**3 + 281. Calculate g(l(v)).
18*v**4
Let p(b) = 4*b. Let u(o) = 3*o. Let j(n) = 12*n. Let z(r) = -4*j(r) + 15*u(r). What is p(z(i))?
-12*i
Let a(b) = 2*b**2. Suppose -26 = -3*p + k, -3*p - 2*k = 1 - 21. Let g(t) = -t. Let o(l) = 3*l - 5 + 5. Let s(h) = p*g(h) + 3*o(h). Calculate a(s(v)).
2*v**2
Let v(y) = -y**2. Let z(t) = 9*t - 15*t + 6*t + t**2. Calculate v(z(w)).
-w**4
Let x(f) = -16*f**2. Let s = 41 - 29. Let w(a) = a + 12 - s. Determine w(x(z)).
-16*z**2
Let t(m) = 11*m**2. Let n(d) = -7*d**2 - 6*d + 6. Let g(i) = -4*i + 1. Let p be g(-1). Let k(l) = 6*l**2 + 5*l - 5. Let s(v) = p*n(v) + 6*k(v). What is t(s(w))?
11*w**4
Let c(s) = -s**2. Let v(o) be the first derivative of 3 + 0*o + 2/3*o**3 + 0*o**2. Determine v(c(d)).
2*d**4
Let x(f) = 10*f. Let c(v) be the third derivative of v**5/60 - 27*v**2. What is c(x(n))?
100*n**2
Let y(p) = 2*p. Suppose 2*s + 0*s = 6. Let d(q) be the second derivative of 0*q**2 + 2*q + 0 - 1/2*q**s. Calculate d(y(i)).
-6*i
Let k(c) = 2*c + 9. Let w be k(-3). Let u(g) be the second derivative of 0*g**2 + g + 1/6*g**w + 0. Let p(h) = h. Calculate p(u(j)).
j
Let b(h) = 190*h - 1. Let r(l) = -25*l**2. What is b(r(u))?
-4750*u**2 - 1
Let u(j) = -j**2. Let v(t) = 1157*t. Determine u(v(y)).
-1338649*y**2
Let j(o) = -7*o**2. Let z(p) = 1168*p. Determine z(j(a)).
-8176*a**2
Let y(l) = 3*l**2. Let r(d) = -d**2 - d - 1. Let g(x) = 0*x + 8 + 9*x + 11*x**2 + 0 + 1. Let i(h) = -2*g(h) - 18*r(h). What is y(i(u))?
48*u**4
Let d(h) = 0*h**2 + 5*h**2 - 3*h**2. Let l(u) be the second derivative of u**7/840 - u**4/12 - 3*u. Let o(q) be the third derivative of l(q). Calculate o(d(w)).
12*w**4
Let n = -2 - -2. Suppose 0 = 2*y - n*y. Let v(x) = x**2 + 2*x**2 + y*x**2. Let h(i) = 2*i**2. Determine v(h(j)).
12*j**4
Suppose -12 = -u + 5*u. Let o = u + 3. Let d(z) = -2*z + 3*z + o*z. Let k(n) = -2*n**2. Calculate d(k(x)).
-2*x**2
Let i = 39 + -29. Let w(l) = -10 + i + l. Let a(x) = 6*x. What is w(a(m))?
6*m
Let v(n) = -n**2. Let t(w) = -58*w**2 + 1. What is t(v(c))?
-58*c**4 + 1
Let a(j) = j**3 + 5*j**2 - 6*j + 2. Let b be a(-6). Let t(d) = 2*d**2 - d**b + d**2. Let q(s) be the second derivative of -s**3/6 - s. Calculate q(t(w)).
-2*w**2
Let s(j) = 3*j**2 - 2*j. Let n(b) = -3*b**2 + 3*b. Let t = -1 + 3. Let p(c) = t*n(c) + 3*s(c). Let a(m) = 3*m. Give a(p(l)).
9*l**2
Let o be 2/(-8) - 18/(-8). Let g(i) = o*i + 0*i - 3*i. Let m(d) = -d**2 + 2. Let f(x) = 5*x**2 - 11. Let a(c) = 2*f(c) + 11*m(c). Determine g(a(l)).
l**2
Let x(f) = 689*f**2. Let h(b) = -3*b. Determine h(x(o)).
-2067*o**2
Let z(a) = -1. Let f(q) be the second derivative of q**4/12 - q**2/2 + 5*q. Let t(g) = -f(g) + z(g). Let c(n) = -3*n. Give c(t(p)).
3*p**2
Let h(l) = l**2. Let j = -30 - -24. Let s(y) = -7*y + 6. Let w(o) = 6*o - 5. Let m(f) = j*w(f) - 5*s(f). What is m(h(x))?
-x**2
Let o(a) = a. Let q(k) = -4*k + 0*k - 2*k + 11*k. Calculate q(o(g)).
5*g
Let x(i) = 20*i. Let k(l) = -l**2 - 16*l. Give k(x(t)).
-400*t**2 - 320*t
Let f(x) = -42*x**2. Let w(s) = -2*s - 3. Let g(i) = i + 1. Let m(n) = 3*g(n) + w(n). What is f(m(u))?
-42*u**2
Let b(a) = -24*a**2 - 6*a. Let f(w) = 2*w**2. What is b(f(n))?
-96*n**4 - 12*n**2
Let j(t) be the second derivative of 7*t**3/6 + 2*t. Let k(h) = h. Determine j(k(g)).
7*g
Let k(b) = 3*b**2. Let h(p) = -p**2 + p + 1. Let i(v) = -50*v**2 + 55*v + 55. Let x(d) = 110*h(d) - 2*i(d). What is x(k(a))?
-90*a**4
Let p(f) = -f. Let q = -7 - -9. Let i(w) = 2 - q + w. Calculate p(i(m)).
-m
Let c(t) be the first de