. Calculate i(f(k)).
18*k**4
Let i(g) = -3*g. Let q(k) = -18*k**2. Give i(q(u)).
54*u**2
Let n(u) be the third derivative of u**4/8 + 28*u**2. Let x(a) = 16*a**2. Give n(x(y)).
48*y**2
Let d(u) = -u - 18. Let z(g) = 2. Let r(b) = 2*d(b) + 18*z(b). Let q(f) = 8*f. Give r(q(t)).
-16*t
Let s(n) = 6*n**2. Let f(p) = -441*p**2. Give f(s(b)).
-15876*b**4
Let z(o) be the third derivative of 0*o**3 + 0*o + o**2 + 0 + 1/12*o**4. Let h(y) = 6*y - 7*y - y. Give z(h(c)).
-4*c
Let m(n) = 4147 - 4147 + 19*n. Let r(j) = -2*j. Determine m(r(q)).
-38*q
Let v(w) = -5*w + 2. Let z(r) = -r. Calculate z(v(x)).
5*x - 2
Let b(z) = -21*z**2. Let l(r) = 6*r**2. Let a(x) = -5*b(x) - 18*l(x). Let m(u) = 4*u**2. What is a(m(q))?
-48*q**4
Let d(c) = 3*c + 6*c + c - 7*c. Let o(z) = 2*z**2. Determine o(d(n)).
18*n**2
Let u(j) = 2*j**2. Let b(d) = 3691*d + 1. Determine b(u(f)).
7382*f**2 + 1
Let o(c) = -2*c. Let k(g) = -g + 2*g + g. Calculate k(o(x)).
-4*x
Let h(r) = r**2. Let a(z) be the first derivative of z**6/180 + 5*z**3/3 + 3. Let o(p) be the third derivative of a(p). What is o(h(v))?
2*v**4
Let u(f) = -f. Let i(r) = -2*r - 47. Give i(u(y)).
2*y - 47
Let w(a) = -a. Let k(j) be the second derivative of 4*j**3/3 - 26*j. Determine k(w(x)).
-8*x
Let t(u) = -u**2. Let r(l) = -8*l**2 + l - 28. Determine r(t(g)).
-8*g**4 - g**2 - 28
Let n(a) = 22*a. Let w(z) = 7*z**2. Give w(n(y)).
3388*y**2
Let i(q) = -4*q**2. Let a(u) = 30*u**2 - 61*u**2 + 30*u**2. What is i(a(h))?
-4*h**4
Let i(l) = 9*l + 2. Let a(o) = 143*o + 33. Let m(f) = -2*a(f) + 33*i(f). Let v(d) = 2*d. Determine m(v(k)).
22*k
Let m(p) = 3*p**2. Let d(a) = 70*a - 2. Give d(m(l)).
210*l**2 - 2
Let i(h) be the first derivative of -h**2 + 2. Let m be 1 + -3 + 2 - -2. Let s(d) = 0*d**m - 2*d**2 + d**2. Give s(i(l)).
-4*l**2
Let w(f) = -2*f**2 - 3*f - 3. Let k(l) = -10*l**2 - 14*l - 14. Let s(j) = 3*k(j) - 14*w(j). Let c(v) = -8*v + 0*v + 13*v - 3*v. Determine s(c(a)).
-8*a**2
Let x(b) be the second derivative of 0*b**3 + 1/24*b**4 + 0 + 3/2*b**2 + b. Let d(q) be the first derivative of x(q). Let r(w) = -8*w. Determine r(d(p)).
-8*p
Let l(x) = -x**2. Suppose -2*s = -4*s + 10. Let z(y) = -2*y**2. Let b(g) = s*z(g) - 14*l(g). Let h(q) = -2*q. Determine b(h(d)).
16*d**2
Let d(i) = i**3 - 12*i**2 - 13*i + 6. Let l be d(13). Let h(a) = -3*a**2 + 3*a**2 - l*a**2 + 2*a**2. Let g(n) = -n**2. Give g(h(m)).
-16*m**4
Let x(d) = 5*d - 3. Let f be 2 + 2/((-6)/15). Let b(q) = 26*q - 16. Let l(n) = f*b(n) + 16*x(n). Let g(w) = w. Calculate l(g(u)).
2*u
Let a(v) = 2*v**2. Let l(t) = 36*t - 36*t - 7*t**2. What is l(a(y))?
-28*y**4
Let h(t) be the third derivative of -t**5/5 - 2*t**2. Let u(a) = a. What is h(u(q))?
-12*q**2
Let w(z) = 5*z**2. Let m(s) = 29*s**2 - 2*s. What is w(m(y))?
4205*y**4 - 580*y**3 + 20*y**2
Let c(o) = -o. Let u(w) be the first derivative of 0*w + 1/12*w**4 + 0*w**3 + w**2 + 1. Let q(f) be the second derivative of u(f). Give c(q(h)).
-2*h
Suppose -5*w + 12 - 2 = 0. Let z(v) = w*v**2 - v**2 - v**2 + 2*v**2. Let f(l) = 4*l. Determine f(z(u)).
8*u**2
Let j(b) = -13*b - 4. Let o(q) = 299*q + 91. Let h(m) = -91*j(m) - 4*o(m). Let p(s) = 2*s. What is p(h(g))?
-26*g
Let q(v) be the third derivative of -v**4/6 - 2*v**2. Let j(t) = -11*t**2. Determine q(j(p)).
44*p**2
Let s(y) = -15 + 15 - 2*y. Let h(w) be the third derivative of -w**4/24 - w**2. What is h(s(c))?
2*c
Let w(v) = -v**2 - v - 1. Let c(r) = 4*r**2 + 6*r + 6. Let o(u) = c(u) + 6*w(u). Let a(d) be the first derivative of -d**2 - 2. What is a(o(b))?
4*b**2
Let b(h) = -4*h. Let n(j) = 2*j - 4. Let c(f) = -4*f + 9. Let k(s) = -4*c(s) - 9*n(s). Calculate b(k(w)).
8*w
Suppose -3*v + 4*v = i + 2, 2*v = 3*i + 9. Let o = -2 - v. Let p(n) = -1 - 2*n + o. Let b(h) = -h**2. Give b(p(c)).
-4*c**2
Let u(d) be the third derivative of d**5/20 - d**2. Let m(b) = b**2 - 2*b. Let s(t) = -6*t + t**2 + 2*t + t. Let c(x) = 3*m(x) - 2*s(x). What is u(c(l))?
3*l**4
Let v be 4/(-14) + (-22)/(-77). Let l(x) = -x**2 + 2*x**2 + v*x**2. Let n(h) = h. Give l(n(o)).
o**2
Let v(c) = 7*c**2. Let y(h) = -170*h**2. What is y(v(z))?
-8330*z**4
Let c(a) = -a**2 - 1. Let x(f) = -3*f**2 - 6. Let p(i) = 6*c(i) - x(i). Let u(k) = -k**2. What is p(u(q))?
-3*q**4
Let h(n) = 9*n**2. Let p(w) be the first derivative of -2*w**3/3 - 6. Calculate p(h(b)).
-162*b**4
Let c(s) be the first derivative of 2*s**3/3 - 15. Let r(o) = o. Determine c(r(z)).
2*z**2
Let v(t) = 5*t. Let u be v(1). Let j(s) = -4*s - 2*s + u*s. Let y(w) = w. Determine j(y(x)).
-x
Let t(d) = -d**2. Let s be (-2 + 1)/((-1)/3). Let l(p) = -8*p + s*p + 2*p. What is t(l(h))?
-9*h**2
Let v(y) = 24*y + 5. Let m(w) = 5*w**2. Determine v(m(q)).
120*q**2 + 5
Let y be (-4)/(-6) - (-4)/3. Let c(g) = 0*g**2 + 0*g**2 + 2*g**y. Let q(z) = 0*z**2 + z**2 + 0*z**2. Calculate q(c(b)).
4*b**4
Let w(f) be the second derivative of -f**3/6 + 2*f. Let q(a) = -a**2 - a. Let g(u) = -49*u**2 - 42*u. Let n(c) = g(c) - 42*q(c). Determine w(n(j)).
7*j**2
Let x(w) = 13*w**2 + 4*w - 4. Let i(q) = 14*q**2 + 5*q - 5. Let j(b) = -4*i(b) + 5*x(b). Let y(n) = -n. What is y(j(d))?
-9*d**2
Let c be 1/(3/12) + 1. Let r(u) = -48 + 48 + c*u. Let g(y) = -6*y**2 - 5*y + 5. Let w(v) = -v**2 - v + 1. Let x(p) = g(p) - 5*w(p). What is r(x(i))?
-5*i**2
Let x(c) = -c**2. Suppose 3*t = 8*t. Let w(b) = -b**2 - 2*b**2 + t*b**2 + 2*b**2. Determine w(x(z)).
-z**4
Let u(s) = 8*s**2. Let c(i) = 29*i**2. Calculate u(c(m)).
6728*m**4
Let g(x) = 249*x**2 - 3*x. Let h(b) = b. Determine g(h(t)).
249*t**2 - 3*t
Let d(j) = -69*j**2 - j + 2. Let v(i) = i. Calculate d(v(s)).
-69*s**2 - s + 2
Let c(a) = -a**2 - 4*a + 4. Let d be c(-4). Let v(m) = 5*m - 3 + 1 - d*m. Let y(g) = -3*g + 5. Let i(l) = 10*v(l) + 4*y(l). Let w(j) = -5*j. What is w(i(s))?
10*s
Let i(s) = -5*s. Let o(c) = -11*c. Give i(o(k)).
55*k
Let s(l) = -3*l**2 + 45 - 45. Let q(a) = a**2. Give s(q(k)).
-3*k**4
Let q(f) = 11*f**2. Let v(a) = -6*a**2. Determine v(q(x)).
-726*x**4
Let a(d) = d**2 - 11*d - 11. Let m(t) = 2*t + 2. Let i(o) = 2*a(o) + 11*m(o). Let z(r) be the third derivative of r**4/8 + r**2. Give z(i(j)).
6*j**2
Let b(y) = -y**2. Let m(x) be the second derivative of x**4/8 - 3*x**2/2 + x. Let i(j) be the first derivative of m(j). Give i(b(n)).
-3*n**2
Let d(g) = -g. Let z(a) = a**2 + a + 1. Let j(h) = 4*h**2 + 6*h + 6. Suppose 0 = i - 0 + 1. Let f(n) = i*j(n) + 6*z(n). Calculate f(d(k)).
2*k**2
Let t(g) = -3*g**2. Let k(c) = 0 + 3 - 8 + 4. Let v(b) = 2*b - 2. Let n(d) = 4*k(d) - 2*v(d). Give t(n(l)).
-48*l**2
Let n(c) = -1. Let h(u) = 2*u - 6. Let k(i) = -h(i) + 6*n(i). Let w(m) be the second derivative of 0*m**2 + 0 + 0*m**3 + 3*m + 1/12*m**4. Determine w(k(t)).
4*t**2
Let s(o) = -13*o**2. Let m(c) = 114*c. Calculate m(s(d)).
-1482*d**2
Let d(c) = 75*c. Let l(f) = 113*f**2. Determine d(l(y)).
8475*y**2
Let j(l) = 2*l**2. Let o be 3 - (1 - (2 + 0)). Suppose o*i = -13 - 31. Let s(w) = 3*w - 4. Let c(z) = 8*z - 11. Let q(h) = i*s(h) + 4*c(h). Calculate j(q(f)).
2*f**2
Let y(l) be the first derivative of l**5/120 - l**3 - 1. Let s(w) be the third derivative of y(w). Let c(p) = -3*p**2. Calculate c(s(z)).
-3*z**2
Let q(c) = -5*c**2 + 138. Let a(r) = 2*r**2. Calculate a(q(t)).
50*t**4 - 2760*t**2 + 38088
Let r(x) = -2*x**2. Let h(s) = 13*s - 2 + 9 + 1. Let p(v) = 4*v + 3. Let q(d) = -3*h(d) + 8*p(d). Calculate q(r(g)).
14*g**2
Let g(t) be the first derivative of -2*t**3/3 + 9. Let l(y) = 5*y**2. What is g(l(q))?
-50*q**4
Let r(j) = -13*j. Let h(d) = 346*d. Calculate r(h(s)).
-4498*s
Let p(w) = -2*w**2. Suppose 5*g + 1 = 11. Let n(o) be the first derivative of -o**2 + o**g - 5 - o**2 + 3. Calculate p(n(t)).
-8*t**2
Let v(u) = -3 - 2*u + 3. Let l(r) be the first derivative of 0*r + 2/3*r**3 + 0*r**2 - 4. Determine l(v(h)).
8*h**2
Let v(s) = 4*s. Let b(q) = -17*q**2 + 11*q**2 + 10*q**2. What is b(v(r))?
64*r**2
Let l(n) = n**2. Let c(s) = 5*s**2 + 2. Give c(l(u)).
5*u**4 + 2
Let u(c) = 2*c**2. Suppose 0 = -3*y - 2 - 4. Let x be y/8 + 3/12. Let p(z) = z - 2*z + x*z. Give u(p(t)).
2*t**2
Let q(m) = 1863*m + 115. Let t(g) = -49*g - 3. Let s(o) = -3*q(o) - 115*t(o). Let y(i) = -i. Determine y(s(a)).
-46*a
Let y(s) = -6*s. Let u(o) = 8*o**2 - 6. Let l(r) = -11 + r**2 + 8*r**2 + 6*r**2. Let v(a) = 6*l(a) - 11*u(a). What is y(v(j))?
-12*j**