 + 24. Determine v(h(a)).
-32*a**2
Let w(z) be the second derivative of z**4/12 - 10*z. Let r(l) = -23*l - 2. Calculate r(w(g)).
-23*g**2 - 2
Let k(t) = -53*t. Let b(j) = -2*j + j - 6*j + 5*j. What is k(b(c))?
106*c
Let b(i) = -i + 19 + 3*i - 19. Let s(u) = 106*u**2. What is b(s(y))?
212*y**2
Let r(u) = -10*u**2. Let s(f) = 9*f**2. Let b(t) = t**2. Let c(o) = -33*b(o) + 4*s(o). Give r(c(m)).
-90*m**4
Let c(p) = 85*p. Let f(t) = -t**2. Determine c(f(w)).
-85*w**2
Let y(j) = 3*j**2. Let n(u) = -2*u - 2*u**2 + 3*u - u. Give n(y(a)).
-18*a**4
Let y(n) be the first derivative of 3/2*n**2 - 2 + 0*n. Let w(k) = -2*k**2. Give w(y(m)).
-18*m**2
Let a(y) = 3*y**2 + 2. Let d(n) = -7*n**2 - 5. Let t(h) = 5*a(h) + 2*d(h). Let r(p) = -3*p**2. Give r(t(x)).
-3*x**4
Let v(s) = -2*s. Let c(l) = 5*l**2 - 846*l. Give v(c(w)).
-10*w**2 + 1692*w
Let i(z) be the second derivative of -z**3/6 - z. Let v(q) be the second derivative of -5*q + 0*q**2 - 1/6*q**3 + 0. What is i(v(u))?
u
Let i(c) = -395*c**2. Let u(b) = -55*b. Give i(u(t)).
-1194875*t**2
Let n(y) = -y + 11. Let x(o) = 12*o - 1. What is n(x(g))?
-12*g + 12
Suppose 2*r + 0*c = 2*c - 4, -4*r + 3*c = 6. Let g(z) = 4*z - 3*z + r*z. Let f(v) = -2*v. Determine f(g(m)).
-2*m
Let w(c) = -c**2. Let r(h) be the third derivative of -9*h**2 + 7/30*h**5 + 0*h + 0*h**3 + 0 + 0*h**4. Give w(r(y)).
-196*y**4
Let y(d) = -2*d**2. Suppose o - 4 = -2. Let q(n) = 2 + n + o - 5. Let t(g) = -2*g + 4. Let h(w) = 4*q(w) + t(w). What is y(h(c))?
-8*c**2
Let m(z) = -3*z - 18. Let r(d) = -3*d + 4. Let n(t) = 4*t - 5. Let x(u) = 4*n(u) + 5*r(u). Calculate x(m(j)).
-3*j - 18
Let s(j) be the first derivative of j**3/3 - 4. Let z(b) be the third derivative of b**5/10 + 17*b**2. Determine z(s(a)).
6*a**4
Let y(t) = 2*t**2. Let d(k) be the second derivative of -11*k**3/6 + 13*k**2/2 - 3*k. Let v(o) = 5*o - 6. Let g(m) = -6*d(m) - 13*v(m). Give y(g(j)).
2*j**2
Let t(s) = 7*s + 5. Let a(f) = 6*f + 4. Let v(w) = 5*a(w) - 4*t(w). Let m = -27 + 29. Let n(d) = -4*d - m*d - d. Calculate v(n(u)).
-14*u
Let o(v) be the second derivative of 1/8*v**4 + 0*v**3 + 1/2*v**2 + v + 0. Let p(i) be the first derivative of o(i). Let c(u) = 2*u**2. Determine c(p(a)).
18*a**2
Let h(d) be the first derivative of 4*d**3/3 + 5. Let b(p) = p**2. Determine h(b(i)).
4*i**4
Suppose -3*n - x = -11, 3*n + 2 - 5 = 3*x. Suppose n*v + 6 - 66 = 0. Let c(j) = -v - j**2 + 20. Let b(u) = u**2. Determine b(c(t)).
t**4
Let h(s) = -2*s**2. Let r(o) be the second derivative of -5*o**3/6 + 2*o**2 + 4*o. Let d(a) = -9*a + 7. Let y(z) = 4*d(z) - 7*r(z). Calculate h(y(j)).
-2*j**2
Let r(l) = -2*l. Let t(q) be the first derivative of q**5/60 - q**2 - 1. Let v(y) be the second derivative of t(y). Give r(v(u)).
-2*u**2
Let c(j) = -2*j. Let r(y) = -12*y**2 - 11*y + 11. Let i(f) = 4*f**2 + 4*f - 4. Let q(d) = -11*i(d) - 4*r(d). What is q(c(s))?
16*s**2
Let v(r) = 4*r**2. Let s(j) = -5*j**2 - 6. What is s(v(b))?
-80*b**4 - 6
Let o = -7 - -12. Suppose m - 18 = -m - 4*y, 0 = o*m - y - 12. Let p(v) = -3*v + m*v - 2*v. Let b(k) = 6*k. What is p(b(d))?
-12*d
Let d(a) = -a + 11. Let r(c) = 1. Let w(x) = 2*d(x) - 22*r(x). Let m(f) = -2*f. Determine m(w(s)).
4*s
Let z be (-9)/(-4) - (-3)/(-12). Let r(a) = 9*a - 9*a - z*a. Let m(l) = -2*l. Give r(m(v)).
4*v
Let a(j) = -6*j - 3. Let h(s) = -3*s. What is h(a(m))?
18*m + 9
Let l(v) be the second derivative of v**4/6 + 3*v. Let n(t) = -t + 0*t - 1 + 1. Calculate l(n(k)).
2*k**2
Let w(l) = l. Let f(b) = -b**2 - 11. Calculate f(w(n)).
-n**2 - 11
Let s(y) be the third derivative of 5*y**4/12 - 2*y**2. Let o(b) = -3*b. Let i(a) = -7*o(a) - 2*s(a). Let n(j) = -3*j. Give n(i(d)).
-3*d
Let g(p) = -10*p. Let c(b) = -95*b**2 - b. What is g(c(l))?
950*l**2 + 10*l
Let d(i) = -2*i. Let v(s) = -s - 2. Let t(j) = 1. Let c(u) = 2*t(u) + v(u). What is c(d(l))?
2*l
Let a(j) = 11*j**2. Let b(t) = -28*t**2. What is b(a(w))?
-3388*w**4
Let w(m) = 30*m**2. Let q(i) = -2*i - 9. Give w(q(h)).
120*h**2 + 1080*h + 2430
Let i(d) = -2*d. Let l(q) = -3*q**2 + 2*q**2 - 9*q**2. What is i(l(t))?
20*t**2
Let l(o) be the first derivative of o**4/6 + o + 2. Let s(z) be the first derivative of l(z). Let v(d) = 3*d - 3*d - 3*d**2. Give v(s(h)).
-12*h**4
Let t(i) = -7*i**2. Let j(u) = 27*u + 1. What is t(j(m))?
-5103*m**2 - 378*m - 7
Let f(i) = 6*i. Let h(d) = -d**3 - 3*d**2 + 3*d - 4. Let q be h(-4). Let j(n) = -2*n + q*n + 3*n. Calculate f(j(t)).
6*t
Let u(a) = -316 + 316 + 2*a**2. Let t(x) = 7*x**2. Determine u(t(l)).
98*l**4
Let x(c) = -33*c**2. Let m(l) = 133*l**2 - 67*l**2 - 65*l**2. Give m(x(n)).
1089*n**4
Suppose -2*o - 2 = -8. Let x(j) = j - 4*j + 4*j - o*j. Let m(f) = -f. Give m(x(i)).
2*i
Suppose 0 = 4*z - 2*n - 2848, 4*z - 2*n - 2848 = -3*n. Let y(o) = -z*o + 26*o**2 + 712*o. Let a(k) = k. Determine a(y(p)).
26*p**2
Let g(k) = -5 + 4 + 6*k**2 + 1. Let n(t) = 2*t**2. Determine n(g(o)).
72*o**4
Let q(c) = -13*c**2 + 37*c**2 - 21*c**2. Let u(g) = -13*g. What is q(u(p))?
507*p**2
Let f(z) = -9*z**2. Let d(q) be the first derivative of 2*q**3/3 + 6. What is f(d(c))?
-36*c**4
Let x(p) = -4*p - 6. Let d(a) = -5*a. What is x(d(w))?
20*w - 6
Let y(r) = -r. Let s(u) = 5*u**3 - u**2 + 1. Let p be s(1). Let n be (8 + -9)/((-2)/8*2). Let c(l) = p + 3*l - 5 + n*l. Give y(c(j)).
-5*j
Let s(d) = 3*d**2. Let l be ((-4)/(-2))/(2/8). Suppose 3*x - l = -x. Let z(u) = -x*u + 2*u - u. Calculate z(s(m)).
-3*m**2
Let x(a) = 2*a. Let p(z) = 1 - 1 - z**2 + 0. Calculate x(p(o)).
-2*o**2
Let a(k) = 3*k**2. Let h(y) = -9*y + 7. Let d(r) = -4*r + 3. Suppose -9 = 4*w + 19. Let u(q) = w*d(q) + 3*h(q). What is u(a(j))?
3*j**2
Let n(y) = 2*y**2. Let p(l) = -22*l**2 + 5*l + 4. Let d(h) = 23*h**2 - 6*h - 5. Let r(q) = -4*d(q) - 5*p(q). Give r(n(x)).
72*x**4 - 2*x**2
Suppose 0*v + 2*v = 4. Let j(a) = 2*a**v + a**2 - a**2. Let z(m) = -8*m**2 - 4*m - 4. Let t(f) = 9*f**2 + 5*f + 5. Let w(n) = -4*t(n) - 5*z(n). What is j(w(d))?
32*d**4
Let a(h) = -9*h + 7. Let q(k) = 8*k - 6. Let n(j) = 6*a(j) + 7*q(j). Let x(p) = -p - 4. Calculate n(x(s)).
-2*s - 8
Let c(l) = 3*l - 8. Let y(u) = u - 3. Let i(m) = -3*c(m) + 8*y(m). Let k(g) = -5*g. Determine i(k(h)).
5*h
Let h(g) = 2*g. Let s(d) = -6157*d. Give h(s(t)).
-12314*t
Let k(u) = -2*u. Let l(c) = -8*c**2. Let p(f) = f**2. Let v(m) = 3*l(m) + 42*p(m). Calculate v(k(t)).
72*t**2
Let t(w) = 3*w. Let x(r) be the third derivative of -r**7/5040 + r**5/10 - 8*r**2. Let y(c) be the third derivative of x(c). Calculate y(t(s)).
-3*s
Let a(d) = -d**2 - d + 2. Let x be a(-2). Let p(k) = 3*k + x*k - 6*k. Let g(h) = -7*h**2 + 9*h**2 - 1 + 1. What is p(g(j))?
-6*j**2
Let r(s) = -4*s. Let g(v) = -81*v**2. What is g(r(a))?
-1296*a**2
Let h(s) = 4*s**2 + 11*s + 11. Let j(c) = c**2 + 3*c + 3. Let v(a) = -6*h(a) + 22*j(a). Let p(o) = 4*o**2. What is v(p(b))?
-32*b**4
Let l(y) = 2*y - 7*y + 4*y. Let u(p) = -3*p. What is l(u(z))?
3*z
Let b(q) = 2*q**2. Let l(y) = -3*y - 29 + 29. What is l(b(i))?
-6*i**2
Let f(s) = 110*s. Let k(l) = -8*l - 4. Determine f(k(q)).
-880*q - 440
Let x(y) be the first derivative of y**3/3 - 2. Let j(i) = -i**3 + 6*i**2 + i - 6. Let b be j(6). Let g(s) = -s + b*s - s. Determine x(g(a)).
4*a**2
Let s(f) = 41*f. Let t(o) = -2*o**2. What is t(s(v))?
-3362*v**2
Let a(j) = 10*j. Suppose 17*v = 16*v + 4. Let r(t) = t - 3*t + v*t. What is a(r(o))?
20*o
Let j(d) = -d**2. Let s(x) = 104*x. Give s(j(g)).
-104*g**2
Let t(z) = z - 671. Let p(n) = 2*n. Give t(p(f)).
2*f - 671
Let p(b) = -12200*b. Let i(a) = 2*a. What is i(p(s))?
-24400*s
Let m(w) = 15*w**2 + 13. Let h(r) = 7*r**2 + 6. Let o be (-3)/9 - (-190)/(-15). Let f(j) = o*h(j) + 6*m(j). Let d(t) = -2*t. Calculate f(d(y)).
-4*y**2
Let b(d) = 5*d. Let j(r) = -r**2 + 4*r - 4. Let i(f) = f**2 - 3*f + 3. Let c be (-50)/18 + (-2)/9. Let k(m) = c*j(m) - 4*i(m). Determine b(k(t)).
-5*t**2
Let h(x) = 33*x. Let v(t) = t**2 + 3*t**2 - 4*t**2 - 2*t**2. Calculate h(v(m)).
-66*m**2
Let i(w) = 6*w + 3. Let k(p) = 28*p - 2. Give i(k(f)).
168*f - 9
Let s(y) = -2*y. Let d(t) = -3*t**2 - 3*t + 3. Let m(q) = -q. Let p(j) = -d(j) + 3*m(j). Let v(a) = -3*a**2 + 2. Let z(u) = -2*p(u) - 3*v(u). Determine z(s(n)).
12*n**2
Let r(k) = -5*k. Let h(q) = 2*q + q - 5*q + q. Determine r(h(i)).
5*i
Let d(m) = 3*m**2 + 17*m - 17. Let j(x) = x**2 + 6*x - 6