b). Let t(k) = k. What is u(t(s))?
13*s**2
Let l(z) = -7*z. Let p(u) = 2*u**2 + 41*u. Give p(l(a)).
98*a**2 - 287*a
Let k(v) = 3*v + v - 7*v. Let j(t) = 3*t**2 + 4*t**2 - 8*t**2. What is j(k(l))?
-9*l**2
Let o(x) be the third derivative of -x**6/120 - x**5/60 + x**3/2 + x**2. Let g be o(0). Let j(z) = 4*z - 4*z - g*z. Let n(b) = 2*b**2. Determine n(j(m)).
18*m**2
Let m(q) be the first derivative of -q**5/60 + q**3/3 + 2. Let t(k) be the third derivative of m(k). Let r(s) = s**2. Calculate t(r(o)).
-2*o**2
Suppose 0 = -2*n + 4*n - 8. Let p(w) = -w**3 + 7*w**2 + 9*w - 4. Let z be p(8). Let k(s) = -z*s + s**2 + n*s. Let l(r) = 2*r**2. Give l(k(a)).
2*a**4
Let l(x) = 12*x. Let j(y) = -32*y - 2. What is l(j(m))?
-384*m - 24
Let s(i) = 2*i. Let w(j) be the third derivative of 0*j**3 + 1/30*j**5 + 0 + 7*j**2 + 0*j**4 + 0*j. Give w(s(h)).
8*h**2
Let h(s) = -11*s. Let o(a) be the second derivative of 5*a**3/6 + 54*a. What is o(h(f))?
-55*f
Let h(t) = -43*t. Let i(n) = 2*n. Calculate h(i(s)).
-86*s
Let v(n) = -342*n. Let z(k) = 2*k. Give v(z(m)).
-684*m
Let l be (-2)/(-4*4/24). Let t(w) = -3*w - l + 9 - 6. Let a(d) = -3*d**2. Calculate a(t(x)).
-27*x**2
Let o(k) = k. Suppose 1 = j - 1. Let q(u) = 0*u**2 - 2*u**2 + 3*u**j. Calculate o(q(g)).
g**2
Let w(f) = -394*f. Let p(t) = -2*t. Calculate p(w(k)).
788*k
Let t(r) = 4*r + 2*r**2 - 4*r. Suppose 2 = -0*i + i. Let c(g) = -g**i - g**2 + 5*g**2. What is t(c(s))?
18*s**4
Let t(d) = -5*d**2. Let q(c) be the first derivative of -c**4/6 + c - 1. Let o(w) be the first derivative of q(w). Determine t(o(l)).
-20*l**4
Let w(h) = 8*h. Let x = -8 - -10. Let j(q) = -2*q**2 + 8*q**2 - 2*q**2 - x*q**2. What is j(w(g))?
128*g**2
Let c(f) = -3*f - f + 0*f + 6*f. Let t(q) = 2*q**2. What is c(t(n))?
4*n**2
Let m(t) = t. Let n(x) be the first derivative of -x**2 + 5. Give n(m(d)).
-2*d
Let w(a) be the third derivative of a**4/12 - 5*a**2. Let s(r) = r + 4. Let k(m) = -1. Let b(j) = 4*k(j) + s(j). What is w(b(l))?
2*l
Let o(b) = 0*b**2 - 4*b**2 + 3*b**2. Let s(x) be the third derivative of -x**5/60 + 2*x**2 + 9*x. Calculate s(o(r)).
-r**4
Let y = 66 - 196/3. Let q(r) be the first derivative of 0*r + 1 + 0*r**2 - y*r**3. Let z(l) = l**2. Calculate z(q(d)).
4*d**4
Let k(m) = 2*m**2 + 10 - 10. Let g(q) be the second derivative of 0*q**2 + 1/6*q**4 + 0 - 2*q + 0*q**3. Give k(g(u)).
8*u**4
Let q(o) = o - 4*o + 0*o + 2*o. Let g(n) be the second derivative of 7*n**3/3 + 9*n. What is q(g(v))?
-14*v
Let d(v) = 4*v - 6*v - 2*v + 3*v. Let r(n) = -5 + 3*n - 7 + 7. Let y(j) = -1. Let s(x) = r(x) - 5*y(x). What is d(s(h))?
-3*h
Let p(n) = -4. Let r(d) = d + 12. Let g(z) = -14*p(z) - 4*r(z). Let o(x) = 2*x**2. Calculate o(g(t)).
32*t**2 - 128*t + 128
Let c(n) = -n**2 + 77. Let v(f) = -f. Give c(v(a)).
-a**2 + 77
Let v(w) = 9*w. Let a(r) be the first derivative of -r**2 - 11. Calculate v(a(p)).
-18*p
Let u(l) = -20*l. Let s(n) = -6*n. Calculate s(u(k)).
120*k
Let x(r) = 14*r**2. Let w(g) be the second derivative of -g**7/1260 - g**4/6 - 2*g. Let d(t) be the third derivative of w(t). Determine d(x(o)).
-392*o**4
Let u(s) = 8*s**2. Let j(t) = 44*t. Determine u(j(v)).
15488*v**2
Let t(x) = -7*x. Let s(g) = -676*g. What is s(t(j))?
4732*j
Let z(u) = -18*u. Let b(l) = 4*l**2 - 4*l. Give z(b(d)).
-72*d**2 + 72*d
Let p(m) be the first derivative of -5*m**2 - 4. Let s(q) = q**2. What is p(s(y))?
-10*y**2
Let v(o) be the third derivative of -o**4/24 + 13*o**2. Let p(r) = r + r - r + 0. What is p(v(l))?
-l
Let a(y) = -4*y. Let s(w) be the first derivative of -2*w**2 + 2. Calculate a(s(k)).
16*k
Let x(b) = b**2. Let k(m) be the third derivative of 13*m**4/12 - 18*m**2. What is k(x(d))?
26*d**2
Let v(t) = -11*t. Let g(m) = -6*m**2. What is v(g(y))?
66*y**2
Let v(r) = 5*r**2 - 3*r + 3. Let h(j) = 4*j**2 - 2*j + 2. Suppose 6 = -4*w + w. Let t(u) = w*v(u) + 3*h(u). Let b(l) = -3*l. Determine t(b(x)).
18*x**2
Let l(t) = -t - 14. Let u(x) = -4*x. Give l(u(y)).
4*y - 14
Let n(u) = 27*u**2. Let c(m) = 61*m. Determine c(n(f)).
1647*f**2
Let z(w) = 5*w - 5*w + 4*w**2. Let h(o) = 27*o**2 - 17*o**2 - 9*o**2. Determine z(h(p)).
4*p**4
Let t(i) = 2*i - 8*i**2 - 2*i - 5*i**2. Let g(v) = -3*v**2. What is g(t(w))?
-507*w**4
Let j(d) = -d. Let r(s) = -84*s. What is j(r(k))?
84*k
Let d(f) = 22*f. Let n(q) be the first derivative of q**2 + 8. Determine d(n(a)).
44*a
Let x(b) be the third derivative of 0*b + 0*b**4 + 0 + 1/30*b**5 + 4*b**2 + 0*b**3. Let z(g) = g. Determine x(z(t)).
2*t**2
Let u(l) be the third derivative of l**4/24 + 9*l**2. Let w(p) = -32*p. Calculate u(w(m)).
-32*m
Let j(t) = -t. Let c(a) = -40*a. Determine c(j(x)).
40*x
Let m(f) = f**2. Let q(r) = 667*r**2. Give q(m(g)).
667*g**4
Let p(t) be the first derivative of -5*t**2 - 3 + 4*t**2 + 0. Let g(h) = 3*h**2. Give p(g(m)).
-6*m**2
Suppose -4*c = -4, -2*v + 13 = v + c. Let r(f) = 0*f + 2*f - v*f. Let u(m) = -7*m**2. Calculate r(u(h)).
14*h**2
Suppose -4*t + 33 = -3*f, 2*t - 4*f - 24 = -0. Let b(j) = -j + t + 0*j - 6. Let z(n) = -n - 3. Let k(p) = 1. Let o(q) = 3*k(q) + z(q). Determine b(o(g)).
g
Let b(m) = -16*m. Let u(c) = -24*c**2. Calculate u(b(d)).
-6144*d**2
Let t(k) = -k**2 - 6. Let h(u) = 2*u**2 + 13. Let a(y) = -6*h(y) - 13*t(y). Let j(n) = -n**2 - 4*n**2 + 4*n**2. What is j(a(c))?
-c**4
Let g(p) = 2*p. Let b(m) be the first derivative of 9*m**2/2 - 1. Give g(b(n)).
18*n
Let q(m) = -2*m. Suppose 0 = -5*k + 2*n + 10, -k + 40 = -5*n + 15. Suppose k = 5*p - p - 8. Let h(v) = -v + p*v - 4*v. Determine h(q(r)).
6*r
Let i(o) = 2*o**2 + 3*o - 3. Let t(w) = -w**2 - 2*w + 2. Let f(a) = -2*i(a) - 3*t(a). Let z be (-2 - 1)*-1 - 0. Let x(g) = z*g - 1 + 1. Calculate x(f(y)).
-3*y**2
Let c(v) = 5*v**2. Let q(j) = 1. Let b(w) = 5*w + 30. Let k(d) = -b(d) + 30*q(d). What is c(k(o))?
125*o**2
Let g(v) = -3*v. Let z(c) = -496*c**2. Determine z(g(j)).
-4464*j**2
Let o(z) = -210*z - 206*z + 415*z. Let r(b) = 16*b. Determine r(o(x)).
-16*x
Let x(n) be the second derivative of 1/12*n**4 - 3*n + 0*n**3 + 0 + 0*n**2. Let t(z) = 3*z. What is x(t(h))?
9*h**2
Let c(f) be the first derivative of -2*f**2 - 15. Let x(h) = -3*h. Calculate c(x(m)).
12*m
Let m(f) = -13*f. Let v(i) = -3*i. Let h(l) = 2*m(l) - 9*v(l). Suppose 4*y - 5 = 3. Let k(p) = y*p**2 + 7*p**2 - 5*p**2. Give h(k(z)).
4*z**2
Let r = -3 + 4. Let s(l) = -1 + 2 - l - r. Let m(b) = -5*b**2. Give s(m(x)).
5*x**2
Let b(z) = 6*z. Let d(x) be the second derivative of -4*x**3/3 + 3*x + 6. What is b(d(r))?
-48*r
Let g(q) = 12*q - 1 + 1 + 10*q. Let t(h) = -h**2. What is g(t(w))?
-22*w**2
Let p(h) = 9*h. Let x(d) = -14*d. Let q(s) = 8*p(s) + 5*x(s). Let b(t) = -t**2 - 8. Let w(a) = a**2 + 5. Let y(g) = 5*b(g) + 8*w(g). Calculate q(y(k)).
6*k**2
Let d(y) be the second derivative of -y**3/6 + y. Suppose 0 = 3*a + n - 7, 0 = -a + 4*a - 2*n - 4. Let h(j) = 4*j**2 - 6*j**2 + j**a. Determine h(d(g)).
-g**2
Let m = 1 + -6. Let v(q) = -q. Let k(c) = c. Let o(j) = m*v(j) - 6*k(j). Let n(l) be the first derivative of l**3 - 1. What is n(o(r))?
3*r**2
Let s(k) = k**2 + k + 1. Let h(u) = -4*u**2 - 6*u - 6. Let m(a) = -h(a) - 6*s(a). Let n(b) = 40*b**2. Give n(m(v)).
160*v**4
Let d(g) = -29 + 2*g - 22*g + 30. Let i(y) = -y**2. Determine i(d(a)).
-400*a**2 + 40*a - 1
Let o(w) = -2*w**2. Let y(t) = t**2 + 3. Let n = -11 + 15. Let m(j) = -11*j + 10 + 11*j + n*j**2. Let k(r) = -3*m(r) + 10*y(r). Give k(o(q)).
-8*q**4
Let s(b) = 2*b**2. Let w(r) = 29*r**2. Give s(w(d)).
1682*d**4
Let c(t) = -2*t**2 - 12946. Let w(a) = -2*a. What is c(w(k))?
-8*k**2 - 12946
Let r = -4 - -10. Let a(g) = g + r - 6. Let i(c) be the second derivative of c**3/6 + c. Give a(i(q)).
q
Let g(s) = s**2. Let y(v) be the second derivative of v**4/2 + 7*v. What is y(g(p))?
6*p**4
Let a(h) = -3*h. Let x(p) = 1 + 6*p - 1 - 8*p. Give a(x(g)).
6*g
Let x(z) be the third derivative of 4*z**2 + 0*z**3 + 0 + 0*z + 1/8*z**4. Let g(o) = 7*o**2. What is x(g(r))?
21*r**2
Let y(x) = -x. Let q(s) = 23*s**2 + 6. Let t(c) = -23*c**2 - 5. Let a(u) = -5*q(u) - 6*t(u). Determine a(y(n)).
23*n**2
Let t(u) be the third derivative of -u**4/12 - 4*u**2. Let p(m) be the third derivative of -m**5/20 - 2*m**2. Calculate t(p(v)).
6*v**2
Let n(t) = 90*t**2. Let a(j) = -123*j - 3. Give a(n(r)).
-11070*r**2 - 3
Let v(m) = 4*m**2. Let x(b) be the