l. Determine t(r(c)).
8*c**2
Let i(y) be the second derivative of y**4/6 - 31*y. Let t(v) = 12*v**2. Calculate t(i(q)).
48*q**4
Let s(b) = 511*b. Let y(q) = -q**2. Determine s(y(k)).
-511*k**2
Let q(t) = 2*t**2. Let v(j) = -j - 4. Give q(v(p)).
2*p**2 + 16*p + 32
Let g(a) = 13*a. Let c(u) = 8*u**2 + 4*u. Determine g(c(x)).
104*x**2 + 52*x
Let x(q) = 2*q**2. Let l(j) be the second derivative of -13*j**3/6 - 12*j. Determine x(l(n)).
338*n**2
Let k(h) = h**2 - 3*h - 3. Let g(w) = 4*w**2 - 11*w - 11. Let o(j) = 6*g(j) - 22*k(j). Let m(b) = 2*b. Calculate m(o(n)).
4*n**2
Let j(m) = -m**2. Let f(z) = z**2 + 1. Let n(t) = 22*t**2 + 66. Let x(u) = -66*f(u) + n(u). What is x(j(y))?
-44*y**4
Let r(i) = 1263 - 1263 + 6*i. Let k(c) = 2*c**2. Determine r(k(f)).
12*f**2
Let u(q) = 16*q. Let a(c) = 11*c**2 + 7. What is a(u(g))?
2816*g**2 + 7
Let r(f) be the first derivative of -f**2/2 - 1. Let b(l) = -2*l + 3. Let a(x) = -6*x + 10. Let d(m) = 3*a(m) - 10*b(m). Give r(d(u)).
-2*u
Let n(k) = -2*k. Let b(a) = 1. Let r(v) = 4*v - 4. Let t(g) = -4*b(g) - r(g). Give n(t(f)).
8*f
Let g(r) = 3*r. Let d(m) = 3*m**2 - 4*m**2 + 2*m**2 + 0*m**2. Give g(d(i)).
3*i**2
Let n(j) = 40*j**2. Let t(l) = -l**2. Give t(n(s)).
-1600*s**4
Let a(q) = -3*q. Let g(c) = -28*c + 28*c + 2*c**2. Give g(a(b)).
18*b**2
Let u(y) = y**2. Let k(c) be the second derivative of c**3/6 + 8*c. Determine k(u(j)).
j**2
Let v(b) = b. Suppose -g = -4*y - 12, -3 - 11 = -3*g + y. Let s = g + -1. Let p(d) = 5*d - 3*d - s*d. Give p(v(w)).
-w
Let j(q) = 13*q**2. Let u(x) = -x**2 + x**2 + 0*x**2 + 2*x**2. Calculate u(j(f)).
338*f**4
Let h(o) = -o - 7. Let q be h(-7). Let p(c) = -3*c + c + q*c. Let d(t) = -4*t. Calculate d(p(l)).
8*l
Let r(d) = 2*d. Let s(n) = 5*n - 4*n - 9*n. What is s(r(o))?
-16*o
Let m(d) = 2*d. Let r(w) = -w + 0*w + 2 - 9 + 5*w. Let y(q) be the third derivative of q**4/12 - q**3/2 - q**2. Let z(h) = -3*r(h) + 7*y(h). Give z(m(u)).
4*u
Let q(b) = b**2. Suppose -3*c - 2*c = -60. Let a(k) = -c + 12 + 2*k. Give q(a(z)).
4*z**2
Let m be 6/2 + 0 - 3. Let s(r) be the second derivative of m + 0*r**2 - r - 1/3*r**3. Let c(f) = -2*f**2. Give c(s(z)).
-8*z**2
Let q(v) = v**2. Suppose 0 = -3*u - 0*w - 2*w - 2, 0 = 5*u + 4*w. Let z be 15 + (-2)/u*-2. Let p(l) = -5*l - 14 + z. Determine q(p(o)).
25*o**2
Let v(a) = 4*a**2. Let u(z) = 93*z**2. Give u(v(k)).
1488*k**4
Let y(g) = 6*g. Let d(b) = -850*b**2. Give y(d(w)).
-5100*w**2
Let w(f) be the third derivative of -f**6/360 + f**4/12 + 2*f**2. Let u(b) be the second derivative of w(b). Let x(c) = -2*c**2 - c**2 + 2*c**2. Give u(x(v)).
2*v**2
Let m(y) = 7*y**2. Let z(q) = -15*q. Calculate m(z(o)).
1575*o**2
Let n(a) = 2*a**2 - 5*a**2 + 0*a**2. Let p(o) be the second derivative of 0 + 1/6*o**3 + 2*o + 0*o**2. Calculate p(n(d)).
-3*d**2
Let c(p) = 2*p - 4. Let v(b) = 2*b - 3. Let m(a) = -3*c(a) + 4*v(a). Let x(s) = -3*s. Give m(x(k)).
-6*k
Let f(g) = -5*g**2. Let r(m) = -m**2 - 11 + 11. Determine r(f(p)).
-25*p**4
Let q(u) = -2*u**2. Let n = 2 + 0. Let r(w) = 3*w**2 - w**2 + 2*w**2 - 3*w**n. What is q(r(y))?
-2*y**4
Let b(p) be the second derivative of 2*p**4/3 + 11*p. Let k(y) = 2*y**2. What is k(b(q))?
128*q**4
Let q(p) be the second derivative of 2/3*p**3 - 3/2*p**2 - 2*p + 0. Let a(w) = -13*w + 8. Let r(x) = 3*a(x) + 8*q(x). Let i(b) = 2*b. What is r(i(t))?
-14*t
Let g(a) = -2*a**2. Suppose -5*v = 3*w + 35, -4*v - 3*w + 0*w = 28. Let k(p) = p + 9. Let f be k(v). Let o(y) = y + 2*y - f*y. Determine g(o(d)).
-2*d**2
Let c(v) = -23*v. Let o(b) = -13*b**2. What is o(c(x))?
-6877*x**2
Let n(w) = 2*w**2. Let k(q) be the second derivative of -q**6/360 + q**4/3 - 2*q. Let p(x) be the third derivative of k(x). What is n(p(r))?
8*r**2
Let f(d) = 2*d. Let s(u) = 0*u**2 + 4*u**2 + u**2 + 5*u**2. Calculate s(f(l)).
40*l**2
Let o(x) = -x. Let p = -2/31 - -43/186. Let c(k) be the second derivative of 3*k + 0 + 0*k**2 + p*k**3. What is c(o(u))?
-u
Let u(m) = 2*m**2 - 20. Let w(a) = -29*a. What is w(u(q))?
-58*q**2 + 580
Let w(t) = 3*t**2 - 32*t. Let x(y) = y. Determine w(x(o)).
3*o**2 - 32*o
Let y(x) = 2*x**2. Let v(n) = 126*n**2 - 69*n**2 - 62*n**2. Determine y(v(h)).
50*h**4
Let i(h) be the second derivative of 1/6*h**3 - h + 0 + 0*h**2. Let f(k) = k**2 + 2. Let y(c) = 2*c**2 + 3. Let p(o) = -3*f(o) + 2*y(o). What is i(p(a))?
a**2
Let q(b) = -6*b**2. Let f(w) = -w**3 + 9*w**2 - w + 6. Let m be f(9). Let c(d) = 3*d - 5. Let h(v) = 2*v - 3. Let s(t) = m*c(t) + 5*h(t). Determine s(q(j)).
-6*j**2
Let n(a) = -3*a**2. Let o(h) be the first derivative of h**2/2 + 17. Calculate n(o(q)).
-3*q**2
Let p(u) = 25*u. Let v(m) = -3*m. Let i(w) = -4*w. Let n(f) = -4*i(f) + 5*v(f). What is p(n(d))?
25*d
Let c(z) = -z. Let s(x) be the second derivative of -x**3/6 + x**2/2 + 4*x. Let l(q) = -3*q + 2. Let a(v) = 3*l(v) - 6*s(v). Give a(c(o)).
3*o
Let c(m) = m**2. Let d(l) = -2*l - 10. Give d(c(q)).
-2*q**2 - 10
Let y(l) = -l**2. Let f(d) = -2*d**2 + 361*d. Calculate f(y(r)).
-2*r**4 - 361*r**2
Let t(u) = 16*u - 5*u - 13*u. Let z(p) be the first derivative of -p**2 + 1. What is t(z(i))?
4*i
Let i(n) = -n. Suppose 15 = -5*z, 4*p - p = z + 12. Let y(q) = 6 + 4*q**2 - 3 - p. Give y(i(b)).
4*b**2
Let n(d) = -4*d**2. Let z(o) = -208*o. Calculate z(n(j)).
832*j**2
Let r(g) be the second derivative of -10*g + 0*g**2 - 1/3*g**3 + 0. Let c(s) = 11*s**2 + 0*s**2 - 2*s**2. Calculate r(c(o)).
-18*o**2
Let x(s) = 3*s**2 + 37. Let b(o) = 35*o**2. What is b(x(f))?
315*f**4 + 7770*f**2 + 47915
Let f(r) = 4*r**2. Let v(u) = 183*u**2. Determine v(f(d)).
2928*d**4
Let r(m) = -10*m + 5*m + 2*m. Let k(w) be the second derivative of -w**4/6 + w. Calculate r(k(f)).
6*f**2
Let h(j) = -2*j**2. Let c(i) = 3*i - 9. Let z(m) = -m + 4. Let o(n) = 4*c(n) + 9*z(n). Give o(h(w)).
-6*w**2
Let q(b) = -9*b**2. Let z(r) = -20*r**2. Give z(q(k)).
-1620*k**4
Let k(g) = -3*g**2. Let v(w) = -w**2 + 11*w - 5. Let h be v(11). Let u(p) = -11*p + 5. Let j(f) = -6*f + 3. Let t(r) = h*j(r) + 3*u(r). What is k(t(s))?
-27*s**2
Let l(o) = -1 + 4 - 3 + 2*o. Suppose -2*y + 0*y = 0. Let g(q) = 0 + 5*q + y. Determine g(l(a)).
10*a
Let f(d) be the first derivative of d**3/3 - 9. Let l(m) be the first derivative of -m**3/3 + 2. Give l(f(w)).
-w**4
Let o(x) = 0*x**2 - 2*x**2 + 5*x - 5*x. Let l(b) = 4*b**2. Give o(l(i)).
-32*i**4
Let q(j) be the first derivative of 0*j**2 + 0*j - 2/3*j**3 - 2. Let u(a) = 14*a**2. Give q(u(h)).
-392*h**4
Let c(x) = 4 - 2*x - 3 - 1. Let i(u) be the third derivative of -11*u**4/24 - 14*u**2. Calculate c(i(a)).
22*a
Suppose -c - 4*c = 5*o + 15, 0 = 3*c - 6. Let j = -3 - o. Let y(r) = -1 - j*r + 1. Let h(x) = 5*x**2. Give y(h(z)).
-10*z**2
Let k(w) be the first derivative of -w**2 + 20. Let p(i) = 4*i. Calculate p(k(h)).
-8*h
Let n(i) = 2*i. Let x(b) = b. Let j(o) = 6*n(o) - 13*x(o). Let u(k) = -23*k**2. Calculate u(j(z)).
-23*z**2
Let h(q) = -8*q + 6. Let f(s) = -17*s + 13. Let o(b) = -6*f(b) + 13*h(b). Let x(y) = y + 3. Let m be x(0). Let k(i) = 0 + 0 - m*i. Give k(o(d)).
6*d
Let o(y) = -10*y**2. Let c(q) = -58*q. Determine o(c(i)).
-33640*i**2
Let d(i) = 0*i + 3*i - 2*i + 0*i. Let z(k) = 3*k**2. Give d(z(r)).
3*r**2
Let t(b) = 355*b**2. Let s(f) = 13*f. What is t(s(m))?
59995*m**2
Let g(p) = -32*p + 2. Let z(w) = w**2. Determine g(z(q)).
-32*q**2 + 2
Let b(t) = 6*t. Let q(k) = 170*k**2. Determine b(q(s)).
1020*s**2
Let d(b) = 3*b**2. Let z be ((-12)/(-8))/(1/6). Suppose 0 = 3*a + 3 - z. Let f(s) = -s + a*s + s. Give d(f(y)).
12*y**2
Let m(r) be the first derivative of -r**2 - 3. Let c(v) = -5*v**2. Give m(c(n)).
10*n**2
Let k(d) = 18*d**2 - 2*d. Let g(h) = -5*h**2. What is k(g(r))?
450*r**4 + 10*r**2
Let n(f) = f. Let s(u) = u + 1410. Determine s(n(d)).
d + 1410
Let k(r) = -r. Let w(f) = 7*f**2 - 4*f**2 - 2*f**2. Determine w(k(m)).
m**2
Let i(v) = -11*v. Let o(p) = 16*p. Determine i(o(f)).
-176*f
Let q(h) = -64*h**2 + 40. Let g(w) = -5*w**2 + 3. Let d(y) = -40*g(y) + 3*q(y). Let z(t) = t. Let r(i) = -3*i. Let u(c) = -6*r(c) - 17*z(c). Determine u(d(j)).
8*j**2
Let l(o) = 2185*o**2 - 209. Let f(t) = -21*t**2 + 2. Let s(y) = -209*f(y) - 2*l(y). Let x(m) = -m**2. Calculate s(x(v)).
19*v**4
Let a(z) = -209*z**2. Let b(u) = -48*u**2. Give b(a(v)).
-2096688*v**4
Let h(a) = a**2. Let q(f) = 2*f**2 - 6162*f. Calcu