 i. Let l(m) = 4*m**2. Give l(o(f)).
144*f**4
Let t(q) = q**2. Let p(a) be the first derivative of -63 + 0*a + 17/2*a**2. Determine p(t(v)).
17*v**2
Let d(c) be the first derivative of 2*c**3/3 - c**2/2 + 129*c + 79. Let t(p) = -2*p. Calculate t(d(i)).
-4*i**2 + 2*i - 258
Let g(v) = 7*v + 3. Let h(r) = 6*r + 2. Let b(f) = -2*g(f) + 3*h(f). Let o(x) = 11*x**2 - 573 + 388 + 185. What is b(o(l))?
44*l**2
Let r(c) = 2*c. Let p(x) = -6*x + 872583. What is p(r(j))?
-12*j + 872583
Let y(h) = h**2. Let i(p) = p + 57. Let d(f) = 10280*f + 171. Let q(j) = -d(j) + 3*i(j). Give q(y(z)).
-10277*z**2
Let c(s) be the third derivative of 71*s**4/24 + 4*s**2 + 1. Let h(p) = 8*p + 12. Let d(w) = -w - 1. Let q(x) = 12*d(x) + h(x). Give c(q(g)).
-284*g
Let q(o) = o**2 + 0*o**2 + 987*o - 987*o. Let x(g) = 3725*g + 125. Let u(d) = 60*d + 2. Let l(f) = 250*u(f) - 4*x(f). What is l(q(p))?
100*p**2
Let j(o) be the first derivative of -3*o**3 - 906. Let z(r) = -160*r. Give z(j(k)).
1440*k**2
Let l(c) = -51*c + 53*c - 2614*c**2 + 2458*c**2. Let o(a) = 8*a**2. Determine l(o(k)).
-9984*k**4 + 16*k**2
Let s(x) = 6*x**2. Let a(n) = 2*n**2 - 45169677. Calculate a(s(p)).
72*p**4 - 45169677
Let q(l) = l**2 + 15*l. Let t(j) be the third derivative of j**6/360 + 38*j**3/3 - 8*j**2 + 2*j. Let y(p) be the first derivative of t(p). What is y(q(r))?
r**4 + 30*r**3 + 225*r**2
Let a(w) = -3*w + 5*w + 2*w**2 - 4*w + 2*w. Suppose -x + 2*c + 1 = -0, -c + 22 = 4*x. Let z(h) = 3*h + 9*h - x*h. What is z(a(b))?
14*b**2
Let a(d) be the third derivative of -d**5/15 - 12*d**2. Let n be 12/(-8) - (-52)/8. Let v(i) = 7 - n - 2 - i. Give a(v(h)).
-4*h**2
Let p(d) = -d + 4*d**2 + d. Let z(n) be the first derivative of -5*n**3/6 + 51*n - 314. Let o(i) be the first derivative of z(i). What is p(o(b))?
100*b**2
Let b(k) = -50635*k. Let h(o) = -23*o + 1. Determine h(b(a)).
1164605*a + 1
Let n(t) be the third derivative of t**5/20 - 1066*t**2. Let s(d) = -5*d**2 + 3. Calculate n(s(l)).
75*l**4 - 90*l**2 + 27
Let q(p) = -2387*p + 2 - 2 + 2390*p. Let v(w) = 133*w. Give v(q(d)).
399*d
Let r(c) = 12*c. Let k(g) be the first derivative of g**2/2 - 6*g - 2. Let f be k(8). Let t(n) = -38*n**2 + 19*n**2 + 18*n**f. Give r(t(h)).
-12*h**2
Let m(z) = 11*z**2 - 5*z - 50 + 2*z - 9*z + 11*z + 28. Let g(u) = -2*u. Calculate m(g(i)).
44*i**2 + 2*i - 22
Let o(w) = 174930*w - 1. Let g(i) = 57*i**2. What is o(g(q))?
9971010*q**2 - 1
Let w(l) = -35*l - 4. Let p(d) = 22*d**2 + 28027*d. Determine p(w(z)).
26950*z**2 - 974785*z - 111756
Let w(f) = f. Let o(l) = 12*l**2 + 803204*l. What is w(o(v))?
12*v**2 + 803204*v
Let o(n) = n**2. Suppose 53*h - 45*h = 56. Let v(t) = 8*t**2 + h*t**2 - 6 - 11*t**2. Calculate v(o(a)).
4*a**4 - 6
Let y(l) = 2*l. Let x(b) = -12364*b - 3944. Determine y(x(h)).
-24728*h - 7888
Let p(d) = 10*d. Let o(w) be the first derivative of -w**2/2 - 97*w + 3895. Determine o(p(q)).
-10*q - 97
Let w(v) = v**2. Let m(y) = y + 10. Let p be m(-8). Let b(s) be the second derivative of 6*s - 2*s - s + s**3 + p*s**3. Give w(b(l)).
324*l**2
Let l(x) = -x**2. Let d be 2/(-7) - 608/(-266). Let g be (84/56)/(d/12). Let f(a) = 0*a**2 - g + a**2 - 2. Calculate f(l(s)).
s**4 - 11
Let y(w) = -w**2 - 10*w + 2. Let j(p) = 19*p - 14*p**2 + 22*p**2 + 0*p**2 + 65*p - 17. Let d(f) = 6*j(f) + 51*y(f). Let q(a) = -2*a**2. Give d(q(x)).
-12*x**4 + 12*x**2
Let q(t) = 11*t + 1. Let w(a) be the first derivative of -34*a**3/3 - 679. Determine w(q(m)).
-4114*m**2 - 748*m - 34
Let d(o) = 105*o. Let l = -4538 - -6665. Let b(y) = -2127 + l + 3*y - 4*y. Determine d(b(m)).
-105*m
Let w(a) = 23*a**2 - 21*a - 8. Let r(o) = -23*o**2 + 14*o + 6. Let u(p) = -3*r(p) - 2*w(p). Let f(k) = -2*k**2. Calculate u(f(s)).
92*s**4 - 2
Let r(v) = 37*v. Let c(m) = 2*m**2 + 2*m. Suppose 108*x - 110*x = 4. Let l(o) = 2*o**2 + 3*o. Let y(h) = x*l(h) + 3*c(h). What is r(y(z))?
74*z**2
Let v(f) = -f**2. Let z(i) = 54*i + 1836. Let t be z(-34). Let u(p) be the third derivative of 0*p**3 - 8*p**2 + 0*p**4 + t + 13/30*p**5 + 0*p. What is u(v(w))?
26*w**4
Let l(x) = 3*x. Let q(p) = 4*p**2 - 12. Let i(j) be the first derivative of -j**3/3 + j + 77. Let f(m) = -12*i(m) - q(m). Determine l(f(b)).
24*b**2
Let i(n) = -n. Let s(z) = z**2 + 10003161*z. What is i(s(q))?
-q**2 - 10003161*q
Let d(o) = o**2 - 88*o + 5. Let y(r) = -38*r + 34. Determine y(d(f)).
-38*f**2 + 3344*f - 156
Let l(a) = -7*a**2. Let t(x) = -3236*x**2 - 22. Calculate t(l(m)).
-158564*m**4 - 22
Let y(h) = -67*h - 67*h + 209*h - 3*h**2 - 75*h. Let n(a) = -1226*a. Determine n(y(l)).
3678*l**2
Let o(u) = -u. Suppose m + 3*h = 1, 4*h - 2*h - 8 = 3*m. Let k be (-1)/(m + -2 + 3). Let s(c) = 6*c + 0 + 1 - k. Give o(s(l)).
-6*l
Let o(x) = 759*x. Let y(w) be the first derivative of -3*w**2/2 + 1882. What is o(y(u))?
-2277*u
Let s(q) = 2*q**2. Let h(j) be the third derivative of -11*j**8/5040 - 29*j**5/60 - j**3/3 - 36*j**2. Let z(g) be the third derivative of h(g). Give s(z(r)).
3872*r**4
Let p(f) = -1925*f**2. Let v(k) be the third derivative of k**4/12 + 345*k**2. Give p(v(s)).
-7700*s**2
Let r(d) = 38*d. Let f(o) be the first derivative of -5*o**3/6 - 244*o + 209. Let k(m) be the first derivative of f(m). Calculate k(r(u)).
-190*u
Let q(p) be the first derivative of -4*p**2 + 56. Let u(n) = -18*n**2 - 24*n + 24. Let s(z) = -4*z**2 - 5*z + 5. Let i(m) = 24*s(m) - 5*u(m). Calculate i(q(k)).
-384*k**2
Let k(s) = -543*s. Let h(g) = -7*g - 524. Let f(m) = 57*m + 4323. Let v(d) = -4*f(d) - 33*h(d). Give v(k(o)).
-1629*o
Let t(f) = 3*f**2 + 275*f - 2. Let u(r) = -3*r**2 + 909. Calculate t(u(z)).
27*z**4 - 17187*z**2 + 2728816
Let q(c) = 6*c**2 - 12*c. Let i(y) = 5*y**2 - 599315527 + 599315527. Calculate q(i(l)).
150*l**4 - 60*l**2
Let r(j) = -1498*j - 1385*j + 2649*j. Let g(f) = 12*f**2. Give g(r(i)).
657072*i**2
Let h(s) = 21*s**2. Let f(j) = -107*j**2 - 15*j + 36. Let p(g) = 50*g**2 + 7*g - 16. Let b(d) = 4*f(d) + 9*p(d). What is b(h(l))?
9702*l**4 + 63*l**2
Let y(s) be the third derivative of 19*s**5/6 + 2179*s**2. Let u(g) = -7*g. Determine u(y(p)).
-1330*p**2
Let d(y) = y. Suppose 10 = -4*g - g - 4*l, g + 8 = -2*l. Suppose -1730 = -2*u + 4*z, 6*u - 5*u + 4*z = 847. Let i(q) = -u + 859 - 30*q**g. What is d(i(k))?
-30*k**2
Let o(w) = 13*w**2 - 4*w**2 - 16 + 16 - 10*w**2. Let s(b) = -1668*b. What is o(s(z))?
-2782224*z**2
Let n(p) = -4674*p. Let t(w) be the second derivative of w**4/12 - 2387*w. Give t(n(u)).
21846276*u**2
Let c(m) = 24*m**2 + 31481086. Let p(i) = i. Give c(p(k)).
24*k**2 + 31481086
Let b(c) = 5*c**2. Let u(p) be the first derivative of -22*p**2 + 8*p**2 + 4*p**2 + 2*p**2 - 69. What is u(b(j))?
-80*j**2
Suppose -21*z + 24*z = 24. Suppose 14*t - 20 = z. Let w(l) = -20*l**t + 47*l**2 - 20*l**2. Let r(u) = -5*u. What is w(r(d))?
175*d**2
Let a(d) = -85*d + 256*d - 89*d - 87*d. Let j(t) = 23*t**2 - 4. What is j(a(q))?
575*q**2 - 4
Let r(z) = 182*z. Let s(c) = 42*c + 144. Give s(r(f)).
7644*f + 144
Let r(f) be the second derivative of -f**3/3 + 2*f. Let i(a) be the second derivative of 0*a**2 + 1/12*a**4 + 0*a**3 - 20*a + 0. Determine i(r(h)).
4*h**2
Let o(l) = -2*l - 90. Let k(j) = -j**2 + 5*j + 225. Let x(r) = 2*k(r) + 5*o(r). Let y(u) = 501*u. What is x(y(z))?
-502002*z**2
Let l(b) = 199*b + 95. Let w(d) = -184*d - 95. Let q(m) = 12*l(m) + 13*w(m). Let u(c) = -9*c**2. Calculate u(q(k)).
-144*k**2 - 6840*k - 81225
Suppose 6*u = 12*u + 60. Let x(d) = -4*d - 3. Let f(h) = -7*h - 5. Let b(m) = u*x(m) + 6*f(m). Let y(v) = 62*v. Give b(y(i)).
-124*i
Let b(t) = -3*t**2 + 6*t. Let s(v) = v. Let r(q) = -b(q) + 6*s(q). Let i(f) be the first derivative of -4/3*f**3 + 0*f**2 + 34 + 0*f. What is r(i(u))?
48*u**4
Let d(r) be the third derivative of r**5/60 + 8*r**2 - 41*r. Let n(b) = 3*b + 24. Determine d(n(y)).
9*y**2 + 144*y + 576
Let v(q) = 8*q**2 + 17*q - 17. Let w(u) = -u**2 - 2*u + 2. Let f(g) = 6*v(g) + 51*w(g). Let r(h) = 45*h - 22*h - 20*h**2 - 9*h**2 - 23*h. Determine f(r(k)).
-2523*k**4
Let i(t) = -3*t - 443205. Let f(a) = -3*a. Give f(i(z)).
9*z + 1329615
Let o(h) = 169 - 73*h**2 - 30 + 74*h**2 - 56. Let k(z) = 2*z - 4*z + 3*z + z. What is k(o(f))?
2*f**2 + 166
Let g(a) = 10573013*a. Let o(p) = -p**2. Calculate g(o(w)).
-10573013*w**2
Suppose 0 = -10*c - 0*c + 170. Let h(s) = s**2 + 47 + 28 + s**2