- l. Give i(m(p)).
676*p**4 - 2*p**2
Let i(u) = -106*u - 10. Let z(n) = 317*n + 28. Let m(b) = 11*i(b) + 4*z(b). Let r(x) = x**2. Give r(m(c)).
10404*c**2 + 408*c + 4
Let s = 1511 + -1511. Let w(n) be the first derivative of s*n + 2 - 9/2*n**2. Let k(d) = d**2. Calculate w(k(c)).
-9*c**2
Let p(c) = 37*c**2 - 2*c. Let z(j) = -2 - 4*j**2 + 27*j - 27*j + 2. Calculate p(z(f)).
592*f**4 + 8*f**2
Let a(u) = -u - 1. Let h be a(-9). Let b(g) = 6*g**2 - 16*g**2 + h*g**2. Let o(k) = 6*k**2 + k**2 - 3*k**2. Calculate b(o(p)).
-32*p**4
Suppose 5*d - 2 = g + 6, -2*d = -4*g + 4. Let k(b) = -d*b + 0*b + b. Let j(z) = 11*z**2 - 3*z**2 - 4*z**2. Calculate j(k(o)).
4*o**2
Let h(l) = 2*l**2. Let g(b) be the third derivative of -43*b**4/8 - b**2 + 48. Calculate h(g(a)).
33282*a**2
Let k(c) = c**2 - c - 2. Let u(t) = -40*t**2 + 32*t + 64. Let g(z) = -32*k(z) - u(z). Let j(v) = -2*v - v**2 + 2*v. What is g(j(p))?
8*p**4
Let r(t) = 1282*t**2 - 3*t + 27. Let d(h) = -h**2. Give r(d(j)).
1282*j**4 + 3*j**2 + 27
Let j(d) = -2*d. Let y(z) be the third derivative of -z**4/12 - z**3/3 - 31*z**2 - z. Determine y(j(c)).
4*c - 2
Let s(v) = -784*v. Let y(r) = 238*r**2 + 2*r. What is y(s(p))?
146288128*p**2 - 1568*p
Let v(x) = -11*x - 11*x + 8*x - 9*x. Let g(n) = -4*n + n + 5*n. Let c(w) = -10*w. Let f(z) = -3*c(z) - 16*g(z). Calculate v(f(b)).
46*b
Let f(x) = -148*x. Let p(z) be the third derivative of -z**4/24 + 685*z**2. Give f(p(v)).
148*v
Let w(f) = -21*f**2. Let g(j) = -123*j. What is w(g(t))?
-317709*t**2
Let n(r) = -21*r. Let t(u) = -u - 1842. Calculate t(n(h)).
21*h - 1842
Let m(l) = 5*l. Let c(j) = 70*j - 2. Let v(k) = -1. Let q(b) = -c(b) + 2*v(b). Let r(h) = 5*h. Let n(s) = -6*q(s) - 85*r(s). What is m(n(g))?
-25*g
Let z(c) = 15*c. Let n(r) be the second derivative of r**4/2 - 97*r. What is z(n(d))?
90*d**2
Let j(h) = -3*h + 8. Let x(m) = -9*m + 15. Let w(k) = -5*k + 8. Let l(y) = -5*w(y) + 3*x(y). Let d(v) = -5*j(v) + 8*l(v). Let a(s) = -4*s**2. Determine d(a(c)).
4*c**2
Let y(h) = -42*h. Let u(a) = -294*a**2. Determine u(y(v)).
-518616*v**2
Let r(u) be the first derivative of -7*u**3/3 - 2. Let f(w) = -5*w**2 - 13*w**2 + 0*w**2 + 27*w**2. Calculate r(f(s)).
-567*s**4
Let d(y) be the third derivative of -y**4/6 - 63*y**2. Let g(j) = -4*j**2 + 2*j**2 - 1 + 1. Give d(g(b)).
8*b**2
Let l(u) be the third derivative of 91*u**4/24 - 2*u**2 - 91. Let j(b) = -b**2. Calculate j(l(k)).
-8281*k**2
Let z(p) = -p**2. Let f(t) = t - 8. Let m be f(8). Let n(g) = 5*g - 3*g + m*g - g. Determine n(z(v)).
-v**2
Let g(m) = -261*m**2 - 257*m**2 + 514*m**2. Suppose 3*x - 22 = 4*n, x + 2 = 4*n - 5*n. Let h(i) = -5*i**2 + 3*i**2 + 0*i**x. What is g(h(r))?
-16*r**4
Let d(a) = 4*a**2 + 7*a. Let o(i) = 3*i**2 + 4*i. Let n(t) = 4*d(t) - 7*o(t). Let g(x) = -x + 3. Calculate n(g(v)).
-5*v**2 + 30*v - 45
Let h(i) be the third derivative of 0*i**3 + 0*i + 23*i**2 + 1/24*i**4 + 0. Let b(t) = 52*t. Determine h(b(s)).
52*s
Let p(i) = 2766*i. Let m(z) = -23*z**2. What is m(p(u))?
-175967388*u**2
Let h(z) = 4*z. Let x(o) = 341*o + 99. Let i(k) = 7*k + 2. Let p(l) = -99*i(l) + 2*x(l). Calculate h(p(f)).
-44*f
Let x(d) = d**2. Let y(v) = -10*v**2. Let t(q) = 22*x(q) + 2*y(q). Let a(k) be the first derivative of k**3 - 2. Determine t(a(f)).
18*f**4
Let k(b) = -28*b. Let m(g) = -21*g + 3. Let f(l) = 34*l - 5. Let a(u) = -3*f(u) - 5*m(u). What is a(k(s))?
-84*s
Let i(p) be the second derivative of -p**4/6 - 5*p**2 - 5*p. Let o(u) be the first derivative of i(u). Let f(b) = 7 - 7 + b. What is o(f(a))?
-4*a
Let z(y) = y**2. Suppose u - 5*u + 52 = 0. Let r(x) = -11*x**2 + 30*x**2 + u*x**2. Give r(z(o)).
32*o**4
Let z(l) = -l - l - 4*l. Suppose -21 = -6*n - 3. Let k(w) = -2*w**2 + 3*w. Let f(d) = 3*d**2 - 4*d. Let b(r) = n*f(r) + 4*k(r). Determine b(z(m)).
36*m**2
Let n(t) be the first derivative of -t**2 + 12. Let j(i) = -7 + 3 - 2*i**2 + 4. Give j(n(s)).
-8*s**2
Let y(f) = 296879*f. Let v(o) = -o. Calculate v(y(x)).
-296879*x
Let m(k) = -k. Suppose 20 = 3*z + 2*z. Let u(i) = 3 + 4*i + 0 - i - z*i. Let c(j) = j - 2. Let h(d) = -3*c(d) - 2*u(d). What is m(h(w))?
w
Let i(w) = -123 - w + 123. Let t(d) = -3*d - 6. Let z(m) = -m + 2. Let q(u) = 2*t(u) + 6*z(u). What is q(i(n))?
12*n
Let w(k) = 9*k**2. Let o(i) = -7 + 2 + 0 + i. Let c be o(7). Let t(p) = -12 + p**c + 6 + 6. Calculate t(w(s)).
81*s**4
Let v(c) = 6*c - 5. Let w(t) = 7*t - 6. Let l(m) = 6*v(m) - 5*w(m). Let z(d) be the second derivative of -5*d - 1/4*d**4 + 0*d**2 + 0 + 0*d**3. What is z(l(a))?
-3*a**2
Let i(a) be the first derivative of a**2 + 2. Suppose 4*n + n = -d + 462, -5*n + 468 = -d. Let y(r) = n*r - 45*r - 50*r. Give i(y(u)).
-4*u
Let l(s) = s**2. Let i(o) be the first derivative of 9*o**5/20 + 5*o**2 + 2. Let j(r) be the second derivative of i(r). What is l(j(c))?
729*c**4
Let b(c) = c**2 - 55. Let g(m) = m**2 + 2. Let p(w) = -6*w**2 - 16. Let n(y) = 8*g(y) + p(y). What is b(n(a))?
4*a**4 - 55
Let t(c) = -33*c**2. Let z(w) = 870*w. Calculate z(t(u)).
-28710*u**2
Let j(x) = -x. Suppose -w + 14 = -4*p + w, 0 = 3*p + 3*w + 6. Let a(y) = -y. Let k(d) = d. Let z(n) = p*k(n) + 6*a(n). Calculate z(j(f)).
9*f
Let n(p) = -44*p**2 + 1. Let m(l) = 30934*l. Determine n(m(v)).
-42104143664*v**2 + 1
Let x(o) be the second derivative of -1/2*o**2 + 0 - o + 0*o**4 - 2/15*o**5 + 0*o**3. Let f(r) be the first derivative of x(r). Let n(t) = t. Determine n(f(w)).
-8*w**2
Let l(n) = -10*n**2 + 14. Let m(a) = -3*a**2 + 4. Let v(b) = 2*l(b) - 7*m(b). Let f(d) = 13*d - d - d. What is v(f(o))?
121*o**2
Let p(u) be the second derivative of -u**4/12 + 191*u**2/2 - 7*u - 3. Let z(l) = l. Give z(p(f)).
-f**2 + 191
Let l(n) be the second derivative of 2*n**4/3 + 39*n. Let h(r) = -2*r**2 + 17*r + 17. Let y(o) = o**2 - 6*o - 6. Let z(b) = -6*h(b) - 17*y(b). What is l(z(u))?
200*u**4
Let p(w) = 75381*w**2 + 2*w. Let x(f) = 2*f**2. Calculate p(x(m)).
301524*m**4 + 4*m**2
Let m(v) = -250861*v. Let x(d) = 2*d. Calculate x(m(z)).
-501722*z
Let y(v) = -2. Let m(t) = t - 3. Suppose 2*j + 0 - 6 = 0. Let r(l) = j*y(l) - 2*m(l). Let c(a) = 2*a**2. Give r(c(z)).
-4*z**2
Let z(m) = 5*m. Suppose 2*c + 24 = -3*k, c + 0*k + 5 = 2*k. Let f(q) = 11*q. Let v(d) = c*z(d) + 4*f(d). Let i(u) = 12*u. What is v(i(s))?
-12*s
Let i(g) = g**2 + 9*g - 90. Let c be i(-15). Let r(k) be the third derivative of -7*k**2 + 0 + 0*k**3 - 1/24*k**4 + c*k. Let h(w) = 2*w**2. Give h(r(f)).
2*f**2
Let o(s) = 25*s. Let b(p) = 3*p**2 - 57*p - 2. What is b(o(a))?
1875*a**2 - 1425*a - 2
Let a(o) = o**2. Let x be 5/6 - (-6)/(-9). Let t(n) be the third derivative of 0*n + 3*n**2 - x*n**4 + 0 + 0*n**3. Give a(t(v)).
16*v**2
Let c(x) = -6*x**2. Let u(q) = -5*q**2 - 3. Let d(n) = n**2 - 2*n + 3. Let t be d(2). Let v(y) = 16*y**2 + 10. Let j(o) = t*v(o) + 10*u(o). Determine c(j(k)).
-24*k**4
Let x(l) = 4*l. Let p(i) = -380*i**2 - 381*i**2 + 764*i**2. Calculate x(p(w)).
12*w**2
Let g(f) = -62*f**2 + 2*f. Let s(i) = 19*i + 1. Calculate s(g(t)).
-1178*t**2 + 38*t + 1
Let r(x) = 10*x + 5*x - 24*x + 7*x. Let s(p) = -138*p - 3 + 3 + 162*p. What is s(r(o))?
-48*o
Let p(v) = -5*v + 6. Let y(f) = -4*f + 5. Let o(j) = -5*p(j) + 6*y(j). Let d(c) = 408*c. Give d(o(b)).
408*b
Let b(y) be the second derivative of -13*y**4/12 - 8*y. Let l(d) = -d**2 + 138*d - 138*d. Calculate b(l(z)).
-13*z**4
Let h(x) = -2*x**2 - 162*x + 162*x. Let u(n) = 4*n**2 - 4*n. Let g(i) = 3*i**2 - 5*i. Let s(f) = 4*g(f) - 5*u(f). What is h(s(b))?
-128*b**4
Let w(g) be the first derivative of -3*g**2 - 119. Let c(b) = -11*b**2. Calculate c(w(i)).
-396*i**2
Let d(j) = 9*j. Let y(k) = -54*k**2 - 2*k - 48. Determine d(y(t)).
-486*t**2 - 18*t - 432
Let d(s) = 7*s**2. Let w(c) = 17*c**2 - 7*c + 46. Calculate w(d(l)).
833*l**4 - 49*l**2 + 46
Let o(b) = -6*b**2 - 42*b + 1. Let h(k) = -6*k**2 - 36*k + 1. Let v(j) = 7*h(j) - 6*o(j). Let x(n) = 2*n**2. What is x(v(c))?
72*c**4 - 24*c**2 + 2
Let n(v) = 21*v - 5. Suppose 8 = -3*x + 23. Let m(t) = 325*t - 78. Let y(i) = x*m(i) - 78*n(i). Let u(k) = -2*k. Calculate u(y(g)).
26*g
Let p(v) = -10*v - 2. Let c(k) be the third derivative of -26*k**2 - 1/24*k**4 + 0 + 0*k + 0*k**3. Determine c(p(w)).
10*w + 2
Let d be 60/50*(-10)/(-4). Let r(t) = 6*t - d*t + 3*t - 4*t. Let p(x) = -2*x**2 + x**2 + 3*x**2. What is p(r(f))?
8*f*