?
y**2
Let w(p) = 3*p - 3*p**2 - 3*p. Let c(o) be the second derivative of o**3/3 + 30*o. What is w(c(i))?
-12*i**2
Let l(k) = 77*k. Let j(m) = 9*m. Give j(l(d)).
693*d
Let p(m) = 32*m - 2. Let y(o) = o**2. What is y(p(c))?
1024*c**2 - 128*c + 4
Let j(p) = p**2. Let h(z) be the third derivative of 0 + 0*z**4 - 4*z**2 + 0*z + 0*z**3 + 1/60*z**5. Determine j(h(y)).
y**4
Let v(f) = -117*f**2. Let c(z) = z. Give c(v(j)).
-117*j**2
Let c(l) = -20*l. Let j(y) = -9*y. What is j(c(d))?
180*d
Let o(z) = 6*z. Let r(w) = -25*w + 3. What is o(r(h))?
-150*h + 18
Let f(z) = -1. Let w(h) = -2*h + 8. Let r(x) = 8*f(x) + w(x). Let n(i) = -2*i**2. What is r(n(u))?
4*u**2
Let g(u) = -3*u. Let m(n) = 4*n**2. Give m(g(t)).
36*t**2
Let n(r) = 2*r**2. Let q(g) = -339*g**2. What is n(q(b))?
229842*b**4
Let n(o) = -8*o. Let k(q) = -130*q**2. Determine n(k(t)).
1040*t**2
Let o(x) = 463*x - 3. Let q(s) = 3*s. What is o(q(y))?
1389*y - 3
Let t(b) = 468*b**2. Let w(u) = -u. What is t(w(i))?
468*i**2
Let u(l) = -2*l**2 - 3*l - 3. Let i(d) be the second derivative of d**4/12 + d**3/6 + d**2/2 + d. Let j(x) = 3*i(x) + u(x). Let m(g) = -4*g**2. Give m(j(n)).
-4*n**4
Suppose 0 = -3*w - 6 + 18. Suppose -2*u - 12 = -w*o - 4*u, -4*o - 4*u = -16. Let m(k) = 3*k**2 - 6*k**o + 3*k**2 + k**2. Let y(n) = -6*n. Calculate m(y(v)).
36*v**2
Let y(q) = 3*q**2 - 4. Let f(c) = -2*c**2 + 5. Let i(l) = -4*f(l) - 5*y(l). Let a(u) = u. Give a(i(o)).
-7*o**2
Let l(f) = 14*f - 2. Let w(s) = 126*s. Give w(l(o)).
1764*o - 252
Let v(g) be the third derivative of g**5/120 + g**3/2 + 3*g**2. Let f(r) be the first derivative of v(r). Let s(w) = 2*w. What is f(s(u))?
2*u
Let h(f) = 37*f. Let w(k) = 9*k. Determine h(w(s)).
333*s
Let f(c) = c**2 + 4*c. Let g(x) = -x**2 - 5*x. Let a = 1 - 5. Let y(b) = a*g(b) - 5*f(b). Let i(v) = -2*v. What is y(i(l))?
-4*l**2
Let k(n) = 6*n**2. Let y(z) = z**2. Let w(c) = -k(c) + 3*y(c). Let v(s) = 8*s. Let o(d) = 3*d. Let g(b) = 5*o(b) - 2*v(b). Calculate w(g(f)).
-3*f**2
Let q(i) = -i + i - i + 0. Let m(t) = -7*t. Let h(g) = 6*g. Let c(y) = 6*h(y) + 5*m(y). Determine q(c(u)).
-u
Let x(w) = 3*w**2 - 2*w + 2. Let u(b) = -10*b**2 + 7*b - 7. Let k(q) = -2*u(q) - 7*x(q). Let y(d) = -16*d. Give y(k(m)).
16*m**2
Let w(t) = 3*t**2 + 18*t - 18. Let g(d) = d**2 + 5*d - 5. Let i(s) = 18*g(s) - 5*w(s). Let y = -1 + 4. Let p(q) = 0*q - 2*q + y*q. What is p(i(v))?
3*v**2
Let q(i) = -2*i. Let j(b) = -64*b**2 + 28*b. Let o(h) = 7*h**2 - 3*h. Let v be 3/((3 - 1) + -1). Let u(g) = v*j(g) + 28*o(g). Calculate u(q(f)).
16*f**2
Let m(g) = 2*g - 3. Let s(l) = 8*l**2. Determine s(m(r)).
32*r**2 - 96*r + 72
Let p(n) = -4*n. Let j(i) = i**2 + 5*i + 7. Let v be j(-4). Let s(g) = 4*g + 2*g + v*g - 6*g. Give s(p(t)).
-12*t
Let z(u) = 10*u**2 + 14*u. Let h(n) = -2*n**2 - 3*n. Let f be -4*(-1)/(-2)*7. Let d(q) = f*h(q) - 3*z(q). Let m(v) = -v. Determine m(d(i)).
2*i**2
Let v(i) = -2*i. Let r(g) be the second derivative of -9*g - 1/2*g**3 + 0 + 0*g**2. Give v(r(f)).
6*f
Let l(j) be the first derivative of j**5/30 - j**2 + 4. Let f(i) be the second derivative of l(i). Let g(w) = 2*w. Calculate f(g(t)).
8*t**2
Let x(g) = -2*g + 37. Let t be x(18). Let k(j) be the first derivative of -5/2*j**2 - t + 0*j. Let z(u) = 2*u**2. Determine z(k(o)).
50*o**2
Let h(i) = 5*i**2 + 3. Let m(j) = 8*j. Determine m(h(b)).
40*b**2 + 24
Let y be (-8)/20 + (-34)/(-10). Suppose y = -p + 5. Let f(i) = -5 + 3*i**2 - 2*i**p + 5. Let a(h) = h. Give f(a(w)).
w**2
Let t(s) = 9*s. Let o(n) = 43*n. Determine o(t(c)).
387*c
Let c(v) = 2*v. Let q(b) = 6*b**2 + 5. Suppose -4*f + 6*f = 10. Let w(u) = -5*u**2 - 4. Let a(j) = f*w(j) + 4*q(j). What is a(c(i))?
-4*i**2
Let z(i) = i - 22. Let q(c) = 16*c. Give q(z(j)).
16*j - 352
Let v(i) = -i. Let k(w) be the third derivative of 61*w**4/24 - 43*w**2. What is v(k(d))?
-61*d
Let j(o) = 2*o**2. Let l be 2 - (-3 - 1)/2. Let b(i) be the first derivative of i**2 + i - i - l. Calculate j(b(t)).
8*t**2
Let v(x) = -x**2. Let r(w) = 2*w**2 + 4. Let b(l) = l**2 - 1. Let q(t) = -4*b(t) - r(t). What is q(v(j))?
-6*j**4
Let k(r) = 5*r + 3. Let u(n) be the first derivative of 2*n**3/3 + 12. Give u(k(j)).
50*j**2 + 60*j + 18
Let l(f) = f**2 + 170*f. Let j(u) = -7*u. What is l(j(i))?
49*i**2 - 1190*i
Let t(b) = 4*b + 77 + 81 - 156. Let m(u) = u. Determine t(m(y)).
4*y + 2
Let a(g) = 1. Let u(h) = 2*h - 5. Let n(r) = -5*a(r) - u(r). Let m(x) = 12*x**2. Give n(m(l)).
-24*l**2
Let n(a) = 68*a - 2. Let i(t) = -4*t**2. Calculate n(i(c)).
-272*c**2 - 2
Let z(o) = o. Let r(b) = -2 + 5 + 1 - 6*b. Let j(p) = 7*p - 5. Let d = 5 - 9. Let q(u) = d*j(u) - 5*r(u). What is z(q(m))?
2*m
Let a(l) = 7*l. Suppose 4*s - 6*o + 102 = -o, -92 = 3*s + 4*o. Let n(j) = -64*j. Let k(m) = s*a(m) - 3*n(m). Let b(q) = -q. Calculate k(b(r)).
4*r
Let h(m) = -12*m**2 - 3*m. Let p(n) be the first derivative of -2*n**3/3 + 37. Calculate h(p(d)).
-48*d**4 + 6*d**2
Let f(r) = -2*r. Let u(k) = 3*k**2 - 2*k. Let i(l) = l**2 + l. Let w be 5 - (-3 - (-1 + -5)). Let c(o) = w*i(o) + u(o). Determine f(c(x)).
-10*x**2
Let d(r) = 11*r**2. Let o(m) = -18*m**2 + 4*m. Calculate o(d(p)).
-2178*p**4 + 44*p**2
Let l(p) = -16*p. Let c(z) = 46*z**2. Calculate c(l(d)).
11776*d**2
Let m(j) = -14*j**2. Let w(h) = -3 - 7*h**2 + 13*h**2 + 3. Calculate w(m(d)).
1176*d**4
Let s(n) = -6. Let y(d) = -2*d - 17. Let t(m) = m + 8. Let i(g) = 11*t(g) + 6*y(g). Let k(a) = -6*i(a) + 14*s(a). Let u(z) = 2*z**2. Give k(u(f)).
12*f**2
Let n(h) = 2*h + 0*h**2 - 12*h**2 + 3*h. Let q(t) = 6*t**2 - 2*t. Let l(r) = 2*n(r) + 5*q(r). Let i(m) = -m. Give i(l(b)).
-6*b**2
Let r(l) = 6*l**2 - 6. Let x(f) = f**2. Determine r(x(i)).
6*i**4 - 6
Let r(k) = 383*k. Let l(j) = 43*j. What is r(l(g))?
16469*g
Let w(z) = 22*z - 12. Let u(m) = 9*m - 5. Let b(x) = -12*u(x) + 5*w(x). Let c(g) = -g**2. What is c(b(d))?
-4*d**2
Let t(m) = 2*m. Suppose 5*x - 3*w - w + 16 = 0, -3*w + 12 = -3*x. Let c(q) = 25*q + x - 29*q + 0. Determine t(c(a)).
-8*a
Let h(w) = -w. Let c(a) = 2*a. Let t(l) = -c(l) + 2*h(l). Let i(p) = 6*p**2. Calculate t(i(y)).
-24*y**2
Let d(i) = 2*i**2 - 4. Let a = -21 - -33. Suppose 2*j - 5*j = a. Let q(t) = 4*t**2 - 9. Let o(w) = j*q(w) + 9*d(w). Let s(m) = -2*m. Calculate s(o(k)).
-4*k**2
Let u(l) be the first derivative of 2*l**3/3 - 2. Let f(d) = -7*d**2 + 5. Let k(n) = 6*n**2 - 4. Let q(v) = 4*f(v) + 5*k(v). Determine q(u(y)).
8*y**4
Let r(w) = 1 - 1 - w. Let f(a) be the third derivative of -a**8/10080 + a**5/60 + a**2. Let g(b) be the third derivative of f(b). Determine g(r(q)).
-2*q**2
Let u(z) be the third derivative of 7*z**5/60 - 43*z**2. Let x(a) = -3*a. What is u(x(c))?
63*c**2
Let i(c) = 2*c - 1. Let x be i(1). Let h(g) = 4*g**2 + 2. Let w(m) = -m**2 - 1. Let b(t) = x*h(t) + 2*w(t). Let j(l) = 16*l - 6*l - 7*l. Calculate b(j(q)).
18*q**2
Suppose -62 = -2*a - 4. Let s(m) = 14 + m - a + 15. Let x(h) = -3*h**2. Calculate x(s(w)).
-3*w**2
Let j(l) = -1300*l + 125. Let k(t) = -31*t + 3. Let f(u) = 3*j(u) - 125*k(u). Let p(w) = 3*w**2. What is p(f(o))?
1875*o**2
Let b(h) = -32*h - 3. Let i(n) = n**2. Determine b(i(z)).
-32*z**2 - 3
Let m(i) be the first derivative of 9*i**2/2 - 23. Let s(b) = 2*b**2. Give m(s(u)).
18*u**2
Let h(m) = -21*m**2 - 36*m**2 - 52*m**2 - 3*m**2. Let b(q) = -2*q. What is h(b(g))?
-448*g**2
Let l(h) = 14*h**2. Let u(r) = 47*r**2. Determine l(u(f)).
30926*f**4
Let m(r) = 2*r**2. Let n(l) = -l**2 + 3. Calculate m(n(c)).
2*c**4 - 12*c**2 + 18
Let r(k) = -12*k. Let c(l) = 59*l**2. Calculate c(r(m)).
8496*m**2
Let s(w) = 7372*w. Let b(q) = q**2. What is b(s(x))?
54346384*x**2
Let h(a) = 41*a. Let s(c) = -33*c**2. What is s(h(g))?
-55473*g**2
Let v(l) = -6*l**2. Let s(p) = -p - 3. Let t(z) = -z - 1. Let c(o) = s(o) - 3*t(o). What is v(c(q))?
-24*q**2
Let h(c) = 15*c**2. Let j(x) = 5*x. Let m(z) = 16*z. Let g(n) = 10*j(n) - 3*m(n). Determine g(h(l)).
30*l**2
Let r(k) = -215*k. Let c(a) = 38*a - 1. What is r(c(g))?
-8170*g + 215
Let j(t) = -3*t. Let p(x) be the first derivative of -4*x**3/3 - 1. Calculate j(p(d)).
12*d**2
Let i(m) = -4*m**2 + 8*m. Let q(a) = 23*a**2 - 1. Calculate i(q(s)).
-2116*s**4 + 368*s**2 - 12
Let t(f) = -18*f**2. Let z(n) = 158*n**2. Give t(z(d)).
-449352*d**4
Let r(s) = 2*s**2 + 2*s**2 - 2*s**2. Let a(u) = u**2. Give a(r(q)).
4*q**4