- p*z**4 + 7*z**2. Let i(f) = -7*f. Determine i(u(h)).
14*h
Let w(b) = -125*b**2. Let y(i) = -2447094*i. What is y(w(c))?
305886750*c**2
Let u(w) be the third derivative of 0*w**4 + 0 - 17/30*w**5 + 0*w**3 - 2*w**2 + 0*w. Let f(y) = 2. Let t(i) = i - 2. Let a(c) = f(c) + t(c). Calculate u(a(d)).
-34*d**2
Let n(s) = s + 430688. Let a(v) = 7*v**2. Give n(a(x)).
7*x**2 + 430688
Let k(d) = 13520178*d. Let i(y) = 2*y**2. Determine k(i(j)).
27040356*j**2
Let i(j) be the first derivative of -578*j**2 + 1044. Let y(g) = 2*g. Give i(y(p)).
-2312*p
Let x(l) be the third derivative of -l**4/24 + 996*l**2. Let w(z) = z**2 - 4*z - 18. Calculate w(x(r)).
r**2 + 4*r - 18
Let o(h) be the second derivative of -h**4/3 + 211340*h. Let c(z) = -4*z - z + 4*z. Give o(c(x)).
-4*x**2
Let d(f) be the first derivative of 0*f**2 + 5/3*f**3 - 10*f - 7. Let h(q) be the first derivative of d(q). Let v(k) = 2*k**2. What is v(h(j))?
200*j**2
Let h(q) = 2683841*q. Let d(i) = i. Determine d(h(f)).
2683841*f
Let q(m) = -41*m**2. Let j(a) = -125*a - 87. Let f be j(-3). Let p(v) = -291*v**2 - f*v**2 + 575*v**2. Give q(p(d)).
-656*d**4
Suppose 3*j + 12 = 0, 0 = 5*q + 9*j - 11*j - 18. Let y(d) = -d + 395*d**2 + d - 391*d**q. Let r(o) = 9*o**2. Determine r(y(s)).
144*s**4
Let h(g) = -12765*g. Let x(a) = -586*a**2. Determine h(x(u)).
7480290*u**2
Let u(g) be the third derivative of g**5/60 - 37*g**3/2 + 2*g**2 - 7*g. Let l(a) be the first derivative of u(a). Let p(b) = 15*b**2. Calculate p(l(n)).
60*n**2
Let n(r) = 3*r. Let m(z) = 8*z. Let k(g) = 5*m(g) - 14*n(g). Let o(s) = 1225*s**2. Determine o(k(y)).
4900*y**2
Let i(n) be the first derivative of 27*n**2/2 - 5017. Let w(l) = -44*l**2. Calculate w(i(h)).
-32076*h**2
Let h(g) = -17*g**2 - 17*g. Let w(p) = 2*p - 2693. Give w(h(l)).
-34*l**2 - 34*l - 2693
Let f(v) = 2*v**2 + 2*v - 2. Let y(t) = 9*t**2 + 11*t - 11. Let n be (33/6)/(9/(-6) + 1). Let r(w) = n*f(w) + 2*y(w). Let b(m) = m + 1 - 1. Determine r(b(l)).
-4*l**2
Let y(o) = -37*o. Let s(h) be the second derivative of -9*h**3/2 + 7*h + 11. Give s(y(c)).
999*c
Let a(h) = -4*h - 5. Let m = 911 - 906. Let j(r) = 3*r + 4. Let c(i) = m*j(i) + 4*a(i). Let l(v) be the third derivative of v**5/5 + v**2. What is c(l(d))?
-12*d**2
Let a(b) = 206*b - 7. Let d(n) = 670*n. Calculate d(a(m)).
138020*m - 4690
Let b(r) = 9467*r. Let g(t) = t**2 + 84*t + 17. What is b(g(k))?
9467*k**2 + 795228*k + 160939
Let f(q) = -q + 5*q - 3*q. Let k(p) = 4*p**3 + 2*p**2 + 7*p - 25. Let m be k(2). Let z(u) = 46*u - m*u + u. What is z(f(y))?
18*y
Let a(u) = 1891*u. Let k(o) = -2*o**2 - 10*o. Give a(k(l)).
-3782*l**2 - 18910*l
Let g(u) = 2*u. Let q(k) = -196165841*k**2. Calculate q(g(a)).
-784663364*a**2
Let z = -1400 - -1984. Let d(k) = 586 + z + k - 1170. Let n(y) = 45*y. What is n(d(i))?
45*i
Let b(y) = 4*y - 10. Let a(v) = -v + 2. Let r(i) = 5*a(i) + b(i). Let d(l) = -291*l**2. Give d(r(q)).
-291*q**2
Let f(v) = -v. Suppose -15 = -c + 1. Suppose 2*u - 10 = q - u, c = -2*q + 5*u. Let x(r) = -r**2 - r**q + 9*r**2. What is x(f(i))?
7*i**2
Let w(h) = -2*h. Let b(x) = -699324*x**2 + 2. Determine w(b(v)).
1398648*v**2 - 4
Let w(o) = -7*o**2 + 4*o. Let p(l) = 111020*l - 168*l**2 - 222045*l + 111025*l. Calculate w(p(n)).
-197568*n**4 - 672*n**2
Suppose -3*g - 3 = -3*t, t - 4 = -g - 1. Let f(r) = 144*r**t - 69*r**2 - 70*r**2. Let l(o) = -13*o**2. Give f(l(p)).
845*p**4
Let p(t) = 5*t**2 + 36. Let g(b) = -16*b**2 - 120. Let z(o) = 3*g(o) + 10*p(o). Let r(x) = 10*x**2. Calculate r(z(d)).
40*d**4
Let i(z) = -12242*z. Let t(k) = 50*k**2 + 3. Give t(i(a)).
7493328200*a**2 + 3
Let n(j) = -2*j**2. Let l(d) be the second derivative of -d**6/12 - 31*d**3/2 + 60*d. Let s(u) be the second derivative of l(u). Determine n(s(a)).
-1800*a**4
Let p(j) = 10 + 13 - 78*j + 72*j - 23. Let o(x) = 918*x. What is o(p(m))?
-5508*m
Let y(o) = -3*o**2. Let k(n) be the first derivative of 3749*n**3/3 + 4611. Determine k(y(j)).
33741*j**4
Let t(r) = 135*r. Let y(m) = 1021171*m. Determine y(t(o)).
137858085*o
Let d(g) = -5087177*g. Let z(y) = 2*y + 16. What is d(z(f))?
-10174354*f - 81394832
Let z(n) = 4*n. Suppose 0 = 14*x + 61*q - 60*q + 4, 0 = -5*x - 4*q - 16. Let v(g) be the first derivative of 3/2*g**2 - 19 + x*g. Give z(v(o)).
12*o
Let a(p) be the second derivative of p**3/6 - 114*p. Let h(k) = 1185*k. Calculate h(a(j)).
1185*j
Let h(d) = -d**2. Let k(w) = 36*w**2 + 18*w + 20. Let x(c) = c**2 + 9*c - 1. Let y(n) = k(n) - 2*x(n). What is h(y(g))?
-1156*g**4 - 1496*g**2 - 484
Let b(f) be the second derivative of -2 + 0*f**3 + 7/12*f**4 + 0*f**2 + 9*f. Let j(n) = -n. Give j(b(y)).
-7*y**2
Suppose -41 = -3*n - c, -5*c + 0*c = 2*n - 10. Suppose n*w = w + 98. Let o(s) = w*s - 3*s - 2*s. Let j(q) = q**2. Determine j(o(g)).
4*g**2
Let f(k) = -8*k**2 + k - 32. Let z(n) = -16*n + 77. Let c(w) = -18*w + 88. Let s(y) = -7*c(y) + 8*z(y). Determine s(f(p)).
16*p**2 - 2*p + 64
Let d(v) = -v - 29458. Let z(t) = 25*t + 4. Calculate z(d(b)).
-25*b - 736446
Let y(n) = 233*n. Let b(d) = -7*d - 23*d + 65*d - 16*d - 8*d. What is y(b(a))?
2563*a
Let a(o) = -6*o**2 + 378. Let w(x) = 57119*x - 2*x**2 - 57119*x. What is a(w(g))?
-24*g**4 + 378
Let k(m) = -6*m + 6. Let s(u) be the third derivative of 0 - 1/4*u**4 + 0*u + 5/6*u**3 + 25*u**2. Let o(h) = -5*k(h) + 6*s(h). Let q(g) = -2*g. What is q(o(b))?
12*b
Let c(p) = 85458221*p. Let b(h) = h**2. Calculate b(c(n)).
7303107536484841*n**2
Let n(f) = 27659*f. Let i(a) = -48284*a. Determine n(i(d)).
-1335487156*d
Let d(a) = -54*a**2 - 53*a**2 - 52*a**2 + 160*a**2. Let r(y) = -81*y**2 - 4*y. Determine d(r(l)).
6561*l**4 + 648*l**3 + 16*l**2
Let r(b) = 4*b. Let i(z) be the second derivative of z**4/12 + 13*z**3/2 + 2*z - 309. What is r(i(l))?
4*l**2 + 156*l
Let t(o) = -51*o - 41*o - 39*o - 25*o + 158*o. Let h(z) = 7*z + 3. Let f(x) = x + 1. Let l(i) = 6*f(i) - 2*h(i). Determine t(l(j)).
-16*j
Let b(l) = -1390 + 2*l - 1357 + 16*l + 2747. Let r be (1/3)/((-3)/(-27)). Let w(u) = -3*u + r*u - u**2. Give b(w(o)).
-18*o**2
Let o(k) be the first derivative of k**5/24 - k**4/24 - 12*k**3 - 73. Let y(x) be the third derivative of o(x). Let f(l) = -3*l**2. Determine y(f(d)).
-15*d**2 - 1
Let x(k) = -173*k. Let s(m) be the first derivative of -m**5/30 + 12*m**2 + 136. Let q(r) be the second derivative of s(r). Calculate x(q(j)).
346*j**2
Let b(l) = 11*l. Let o(a) = 5*a**2 - 47766. What is o(b(v))?
605*v**2 - 47766
Let v(j) = -6 + 42*j**2 + 157*j**2 + 6. Let u(r) = -1268*r + 7. Let q(m) = -1087*m + 6. Let c(o) = 7*q(o) - 6*u(o). What is v(c(p))?
199*p**2
Let l(z) = -3*z - 42. Let f(n) = -18. Let u(s) = -44. Let p(w) = -5*f(w) + 2*u(w). Let q(t) = 2*l(t) + 42*p(t). Let a(r) = -3*r + 19. Determine q(a(x)).
18*x - 114
Let t(h) = 2*h. Let g(i) = -163*i**2 - 5*i - 3. Suppose 74 = -5*k + 99. Let v(r) = -163*r**2 - 4*r - 2. Let x(u) = k*v(u) - 4*g(u). Calculate x(t(b)).
-652*b**2 + 2
Let p(v) = -2*v**2 - 842. Let x(j) = 49*j**2 - 57 - 97*j**2 + 47*j**2 + 57. What is p(x(q))?
-2*q**4 - 842
Let s(a) = 2*a. Let p(h) = 10*h - 69. Let k be p(7). Let q(v) = 11*v - k + 3 - 4 - 1. Give q(s(m)).
22*m - 3
Let q(o) = -4*o. Let r(t) = -6*t**2 + 12. Suppose -39*g + 49 = 10. Let v(s) be the second derivative of -s**2/2 - s. Let m(u) = g*r(u) + 12*v(u). Give q(m(p)).
24*p**2
Let b(c) = 349*c + 25. Let g(i) = -268*i - 19. Let w(s) = -3*b(s) - 4*g(s). Let l(d) = 7*d + 4 - 4. Calculate w(l(k)).
175*k + 1
Let o(u) = 32*u**2. Let t(f) = -4*f**2 + 3. Let k(n) = 25*n - 22. Let s be k(1). Let j(m) = -5*m**2 + 4. Let h(p) = s*j(p) - 4*t(p). Calculate o(h(a)).
32*a**4
Let b(j) = -13*j + 8. Let a(r) = -9*r + 14*r - 16*r + 5*r. Calculate a(b(z)).
78*z - 48
Let t(q) = -4*q**2. Let b(r) = 3135982*r**2 - 4*r. Calculate b(t(f)).
50175712*f**4 + 16*f**2
Suppose -5*i + 2*i = -18. Let h(d) = -25*d**2 + 6. Let l(k) = 874*k**2 - 209. Let z(m) = i*l(m) + 209*h(m). Let t(o) = -16467 + o + 16467. Determine z(t(p)).
19*p**2
Let t(c) = 2*c. Let q(r) = 1723136*r. Give t(q(a)).
3446272*a
Let i(p) = 34*p + 5. Let k(x) = -27*x - 7. Let s(a) = 5*i(a) + 6*k(a). Let w(f) = -f**2. Give w(s(o)).
-64*o**2 + 272*o - 289
Let j(w) = -2*w + 13. Let y(f) = 24924*f. Determine j(y(l)).
-49848*l + 13
Let k(m) = -2*m. Let g(x) = 589061*x. What is g(k(n))?
-1178122*n
Let i(w) = -160*w - 2. Let f