- 461*y**2/2 - 567*y. Let n(w) = w**2. Calculate n(d(m)).
m**2 - 922*m + 212521
Let h(x) = -10*x + 5*x + 3*x + 7*x. Let u(y) be the second derivative of y**4/4 - 24*y. Determine h(u(s)).
15*s**2
Let x(m) be the third derivative of -m**4/24 - m**2 - 3*m. Let d(s) be the second derivative of 0*s**2 + 0*s**3 - 1/6*s**4 + 0 + s. Give x(d(w)).
2*w**2
Let o(j) = -141*j + 13. Let k(b) = 212*b - 21. Let y(s) = 5*k(s) + 8*o(s). Let w(v) = v. Calculate y(w(n)).
-68*n - 1
Let a(p) be the third derivative of p**4/12 - 4*p**2. Suppose -2*x + 11 = -x. Let d(r) = 19*r - 11*r - x*r. What is a(d(n))?
-6*n
Let w(p) = -14483*p**2. Let g(c) = -6*c. Give w(g(n)).
-521388*n**2
Let r be 16/28*7/2. Suppose 2*c = 2*n + n + 50, -2*n - 46 = -r*c. Let l(h) = 1 - 1 + 14*h**2 - c*h**2. Let a(o) = -o. Calculate l(a(t)).
-5*t**2
Let b(j) be the second derivative of j**3 + 518*j. Let p(y) = 19*y**2 - 1. Calculate b(p(l)).
114*l**2 - 6
Let x(d) = 2*d**2 + 10 + 7 - 17. Let l(b) = -3*b - 1. Calculate x(l(f)).
18*f**2 + 12*f + 2
Let b(t) = -t + 3*t + 3*t. Let m be (-20)/(-30)*3/(-2). Let j(y) = y. Let p(f) = -6*f. Let a(o) = m*p(o) - 5*j(o). Give a(b(q)).
5*q
Suppose -4*n - 4*r = -24, -2*n + 5*r = 9*r - 16. Let f(m) = -2*m + n*m - 5*m**2 - 2*m. Let o(s) = 2*s. Determine f(o(y)).
-20*y**2
Let t(i) = 8*i. Let w(v) = 3385*v. Calculate t(w(x)).
27080*x
Let f(i) = -4*i**2. Let d(n) be the first derivative of -41*n**3/3 - 82. Determine d(f(b)).
-656*b**4
Suppose -3*h + 15 + 30 = 0. Let f(z) = -35*z**2 + 15*z + 15. Let c(g) = -5*g**2 + 2*g + 2. Let y(b) = h*c(b) - 2*f(b). Let w(s) = 2*s**2. What is y(w(r))?
-20*r**4
Let w(a) be the third derivative of a**5/60 - 11*a**4/8 - 117*a**2. Let z(k) = k**2. Give w(z(q)).
q**4 - 33*q**2
Let n(k) = -5*k**2 + 9*k. Let t(s) = -13*s. What is t(n(m))?
65*m**2 - 117*m
Let f(r) = 20*r. Let v(q) = 2*q + 2919. Calculate v(f(a)).
40*a + 2919
Let n(l) = l**2. Let r(q) be the first derivative of 7*q**2/2 - q - 12. Calculate r(n(a)).
7*a**2 - 1
Let o(s) = s + 8. Let i be o(-1). Let n(q) = -4*q. Let g(w) = -13*w. Let k(t) = i*n(t) - 2*g(t). Let u(y) = 7*y. Calculate u(k(b)).
-14*b
Let f(a) = 1056*a + 13. Let r(v) = -3*v**2. Calculate r(f(y)).
-3345408*y**2 - 82368*y - 507
Let u(h) = -16*h - 10. Let g(f) = -50*f. Determine g(u(k)).
800*k + 500
Let u(z) be the third derivative of -7*z**4/24 - 9*z**2. Let o(h) = -4*h. Determine o(u(y)).
28*y
Let k(m) be the first derivative of 5*m**4/12 - 13*m**2/2 - 5. Let t(p) be the second derivative of k(p). Let d(r) = r. Give d(t(v)).
10*v
Let d(a) = 50*a. Suppose -2*f = -5*n - 68, 5*n + 5*f + 112 - 37 = 0. Let s(x) = 1. Let k(j) = j + 7. Let c(g) = n*s(g) + 2*k(g). What is c(d(o))?
100*o
Let n(g) = 1 - 1 - 5*g. Let f(i) be the first derivative of -i**2 - 523. Give f(n(d)).
10*d
Let p(w) = w + 1. Let h(k) = -4*k - 6. Let z(j) = -h(j) - 6*p(j). Let a = -2790 + 6490. Let d(m) = a - 5*m - 3700. Calculate d(z(g)).
10*g
Let d(t) = t. Let s(h) = -4*h + 0*h + 4*h - 476*h**2 + 1428*h**2. What is d(s(y))?
952*y**2
Let a(v) = -18*v**2. Let h(m) = -3566 - 2*m + 3566. Calculate a(h(c)).
-72*c**2
Let t(c) = -2*c**2 + 16161. Let d(k) = 3*k. What is d(t(b))?
-6*b**2 + 48483
Let j(o) = 6*o. Let d(k) = 6*k**2 + 11*k - 333. Give d(j(f)).
216*f**2 + 66*f - 333
Let o(u) = -93*u**2 - 62*u. Let l(x) = -x**2 - x. Let q(a) = 62*l(a) - o(a). Let p(h) = 2*h. Give q(p(t)).
124*t**2
Let d(c) = -c**2. Let s(j) = 96*j - 254*j + 64*j. Give s(d(p)).
94*p**2
Let s(y) = 2*y**2 + 4129*y + 1. Let i(r) = -r. Calculate i(s(x)).
-2*x**2 - 4129*x - 1
Let h(p) = p. Let g be (-4)/(-18) + 7/(2772/(-55)). Let j(c) be the third derivative of 0*c**3 + 0*c**4 - g*c**5 + 0 + 0*c - 4*c**2. Calculate j(h(k)).
-5*k**2
Let n(d) be the first derivative of -d**3/3 + 8. Let o(y) = -y**3 - 7*y**2 - 7*y - 1. Let g be o(-6). Let c(a) = g*a - a + 4*a. Give n(c(s)).
-64*s**2
Let y(f) = -19*f + 95*f + 61*f. Let c(g) = -3*g. Determine y(c(h)).
-411*h
Let g(y) = 90 + 57*y**2 - y - 90. Let d(q) = -q. Calculate g(d(x)).
57*x**2 + x
Let c(a) = 2*a. Let m(u) = -u. Let g(n) = c(n) + 10*m(n). Let l(h) = -3*h**2 - 1. Let j(k) = 17*k**2 + 5. Let v(q) = -j(q) - 5*l(q). Give v(g(r)).
-128*r**2
Let b(i) = -18*i. Let f(c) = -c - 3. Let r(g) = 5*g + 4. Let j(n) = n. Let l(x) = -4*j(x) + r(x). Let s(d) = 4*f(d) + 3*l(d). Give b(s(q)).
18*q
Let x(z) be the third derivative of 3*z**5/4 - 24*z**2. Let f(u) = -u**2 + 2*u + 2. Let m(g) = g + 1. Let r(j) = f(j) - 2*m(j). What is r(x(o))?
-2025*o**4
Let n(w) = -10*w - 7. Let k(y) = -5*y - 7*y + 3*y + 4*y + 3*y. Calculate n(k(v)).
20*v - 7
Let w(o) = o. Let y(b) = 27*b + 347. Give y(w(q)).
27*q + 347
Let p(d) = -2*d - 650. Let b(s) = 14*s**2. Determine p(b(x)).
-28*x**2 - 650
Let d(p) = 2*p**2. Let r(t) = -2340*t**2 - 18*t + 4675*t**2 - 2333*t**2. Determine r(d(q)).
8*q**4 - 36*q**2
Let n(g) = 3*g**2 - 401*g. Let q(p) = p. Give q(n(h)).
3*h**2 - 401*h
Let u(w) be the third derivative of w**4/12 + 2*w**2. Let t(d) be the first derivative of 0*d**2 - 11/3*d**3 + 0*d - 4. Determine t(u(g)).
-44*g**2
Let f(v) = -232*v. Let w(h) = 163*h**2. What is w(f(t))?
8773312*t**2
Let t(f) be the third derivative of -f**4/3 - 4*f**2 - 5. Let w(s) = -2*s. Let h(r) = -5*r. Let x(y) = -3*h(y) + 5*w(y). Give t(x(g)).
-40*g
Let p(t) = t - t + 2*t. Let g(h) be the second derivative of h**3/6 + 1250*h. What is g(p(v))?
2*v
Let a(b) = 7*b - 453. Let l(q) = 3*q - 10. What is l(a(g))?
21*g - 1369
Let t(z) = 24*z**2. Let p(b) = -b**2 - 2*b - 1. Let n(y) = 5*y**2 - 6*y - 3. Let l(v) = n(v) - 3*p(v). Give t(l(m)).
1536*m**4
Let h(d) = -1. Let q(n) be the third derivative of -n**5/6 + n**3/2 + 2*n**2. Let p(o) = -3*h(o) - q(o). Let i(a) = -8*a - a - 6*a + 13*a + 3*a. Give p(i(g)).
10*g**2
Let q = 32 - 30. Let w(d) = -d**2 + 3*d**q - 3*d**2 + 3*d**2. Let g(k) = 5*k**2 + k**2 - k**2. Determine g(w(u)).
20*u**4
Let v(d) = 43 + 3*d - 43 - 4*d. Let c(u) = 60*u**2. Calculate c(v(y)).
60*y**2
Let z(f) = -253*f. Let d(s) = 16*s + 1. Give d(z(w)).
-4048*w + 1
Let y(t) be the second derivative of t**3/3 - 55*t. Let b(i) = 22*i**2 - 5*i + 5. Let q(c) = 33*c**2 - 8*c + 8. Let l(s) = -8*b(s) + 5*q(s). What is y(l(m))?
-22*m**2
Let h(w) = -1691*w**2. Let c(l) = 21*l + 1. Determine h(c(d)).
-745731*d**2 - 71022*d - 1691
Let a(u) = -287*u**2. Let y(r) = 109*r - 49*r - 61*r. Give y(a(w)).
287*w**2
Let d(a) = -2*a**2 + 5*a + 5. Let m(t) = t**2 - 2*t - 2. Let n(k) = 2*d(k) + 5*m(k). Let o(j) be the second derivative of -3*j**3 + 381*j - 1. What is n(o(c))?
324*c**2
Let a = -1 + 3. Let m(s) = -58 + 2*s**a + 58. Let j(x) = 0*x + 3*x - 2*x. What is j(m(i))?
2*i**2
Suppose 5*p + 0*p = 0. Let y(z) = 20*z + p - 21*z + 0. Let q(b) = -b + 2. Let f(c) = 4. Let o(l) = f(l) - 2*q(l). Give o(y(i)).
-2*i
Let o(b) = b**2. Let x(f) = -52*f**2 - 13*f + 13. Let n(y) = -3*y**2 - 5*y + 13*y**2 - 3 + 8*y + 3*y**2. Let p(v) = -13*n(v) - 3*x(v). Give p(o(c)).
-13*c**4
Let r(x) be the first derivative of 3*x**2/2 + 12. Let y(z) = -3*z**2 + 9*z - 9*z. Calculate r(y(n)).
-9*n**2
Let o(q) be the second derivative of q**3/3 - 2*q. Let d(r) = -12*r + 11. Let m = 20 - 18. Let f(p) = -p + 1. Let n(t) = m*d(t) - 22*f(t). Determine n(o(v)).
-4*v
Let c(r) = 86*r. Let a be (10/6 - -1)/(16/24). Let y(g) = -7*g**2 + 4*g**2 + a*g**2. Give c(y(f)).
86*f**2
Let y(c) be the second derivative of c**3/2 + 20*c**2 + 96*c. Let r(u) = -2*u**2. What is y(r(s))?
-6*s**2 + 40
Let t(b) = -b**2 - 10*b + 10. Let o(q) = 2*q - 2. Let d(a) = 5*o(a) + t(a). Let s(w) = -16*w. Determine d(s(r)).
-256*r**2
Let m(v) = 4*v. Let a(g) = 47*g**2 - 21*g - 1. Give m(a(u)).
188*u**2 - 84*u - 4
Let n = -106 + 108. Let j(d) = 4 + 4 + 2*d**2 - 11*d**n + 7*d**2. Let s(w) = w**2. Calculate j(s(x)).
-2*x**4 + 8
Let f(c) = -17*c**2. Let j(w) = w**2 + w - 1. Let i(h) = -18*h + 18. Let s(m) = m - 1. Let x(u) = i(u) + 15*s(u). Let y(g) = 3*j(g) + x(g). Determine f(y(v)).
-153*v**4
Let a(d) = 15*d - 10. Let o(m) = 7*m - 4. Let y(z) = 2*a(z) - 5*o(z). Let s(u) = -5*u - 5. Let w(n) = 5*n + 4. Let c(g) = 4*s(g) + 5*w(g). Calculate y(c(l)).
-25*l
Let w(v) be the first derivative of 1/2*v**2 - 2*v - 5. Let c(f) = 1. Let n(o) = -2*c(o) - w(o). Let p(a) = 3*a. Determine n(p(g)).
-3*g
Let f(t) = 0 + 0 + 2*t. Let r(h) be the third derivative of h**5/60 + 5*h**2 - 60*h. Calculate f(r(q