 = -8 - -11. Let g(i) = -y*i**2 - 2*i**2 + 4*i**2 + 3*i**2. What is f(g(w))?
16*w**4
Let k(x) = -4*x. Let v(s) be the second derivative of 0 + 0*s**2 + 3*s + 0*s**3 + 1/12*s**4. Determine v(k(l)).
16*l**2
Let u(x) = -5*x**2. Suppose -5*y + 0*w + 5*w + 5 = 0, 4*w - 5 = y. Let d(k) be the first derivative of -4*k**2 - k + y*k**2 + k + 3. Give u(d(z)).
-20*z**2
Let r(t) = 1 - 115*t + 114*t - 1. Let y(a) be the first derivative of 9*a**2/2 + 2. What is y(r(c))?
-9*c
Let y(z) = z. Let t(s) = 5*s**2 + 2. What is t(y(g))?
5*g**2 + 2
Let h(k) = 392*k**2. Let l(t) = -2*t**2. What is h(l(i))?
1568*i**4
Let h(m) = -569*m + 15. Let j(b) = b**2. Calculate j(h(s)).
323761*s**2 - 17070*s + 225
Let c(s) = -132*s. Let r(g) = 9*g**2. Give r(c(n)).
156816*n**2
Let w(h) = 29*h**2. Let k(i) = 83*i. Calculate k(w(a)).
2407*a**2
Suppose 0 = -2*h - 2*h + 8. Let n(i) = -h*i**2 - 1 - 3 + 4. Let j(v) = -3*v**2 - 4. Let s(o) = 7*o**2 + 9. Let u(d) = 9*j(d) + 4*s(d). Calculate u(n(t)).
4*t**4
Let o(v) = -17*v**2. Let q(s) = 6*s - 12. Give q(o(u)).
-102*u**2 - 12
Let k(d) = -3*d. Let u(w) = -6*w + 6*w - 2*w**2 + 0*w. Determine u(k(j)).
-18*j**2
Let t(r) = 4*r. Let i(o) be the third derivative of -o**5/15 + 4*o**2. Determine t(i(v)).
-16*v**2
Let j(m) be the third derivative of -m**5/15 - 23*m**2. Let c(a) = -14*a**2. Determine c(j(o)).
-224*o**4
Let b(c) = -3*c. Let x(s) = 1083*s. Calculate b(x(k)).
-3249*k
Let l(k) = -k. Let j(r) = -r**2 - 2. Let s(a) = -4*a**2 - 7. Let m(z) = -7*j(z) + 2*s(z). Calculate l(m(g)).
g**2
Let w(x) = -2*x**2 - 4. Let d(j) = -6*j**2. What is d(w(p))?
-24*p**4 - 96*p**2 - 96
Let u(l) = -l. Let p(a) = 7*a - 20. Determine u(p(o)).
-7*o + 20
Let c(q) = q. Let n(w) = 10*w**2 + 2*w - 2*w - 5*w**2. Calculate n(c(y)).
5*y**2
Let g(z) = 8*z**2. Let x(c) = -22 + 4*c + 22 - 3*c. Determine g(x(p)).
8*p**2
Let q(y) = -y. Let r(z) = 3*z - 7. Let j(w) = 2*w - 3. Let o(c) = 14*j(c) - 6*r(c). Give o(q(p)).
-10*p
Let h(k) = 17*k. Let o(p) = 3*p. Calculate o(h(z)).
51*z
Let m(t) be the first derivative of t**6/120 + t**3/3 - 1. Let k(y) be the third derivative of m(y). Let l(o) = 2*o. Determine l(k(a)).
6*a**2
Let i(l) be the second derivative of 0 - 3*l + 0*l**3 + 0*l**2 + 1/4*l**4. Let g(b) = 3*b + 0*b - b. Calculate i(g(p)).
12*p**2
Let y(m) = -45*m + 3. Let q(t) = 854*t - 56. Let a(k) = -3*q(k) - 56*y(k). Let z(i) = i**2. Calculate a(z(g)).
-42*g**2
Let m(n) = 1486*n**2. Let c(o) = o. Give c(m(d)).
1486*d**2
Let x(d) = -d**2 - 11*d. Let b(h) = -9*h. What is x(b(i))?
-81*i**2 + 99*i
Let i(p) = 53*p + 8. Let n(o) = 35*o + 5. Let w(b) = 5*i(b) - 8*n(b). Let g(l) = -2*l**2. Calculate g(w(t)).
-450*t**2
Let c(d) = 26*d**2. Let n(h) = 9*h**2 + 0*h**2 - 9*h**2 - 2*h**2. Calculate n(c(l)).
-1352*l**4
Let s(a) = -a**2 - a + 1. Let m(q) = 7*q**2 + 3*q - 3. Let t(k) = m(k) + 3*s(k). Let f(r) be the first derivative of r**3/3 - 1. Calculate f(t(g)).
16*g**4
Let i(b) = 2*b**2. Let s(r) = -3*r - 10. Let w be s(-4). Let y(v) be the second derivative of 0 + 0*v**2 - w*v + 1/6*v**3. Give i(y(k)).
2*k**2
Let v(q) = -5*q + 8. Let i(t) = 2*t. What is i(v(c))?
-10*c + 16
Let a(i) = -39*i. Let k(s) = 3*s. Let f(z) = -2*a(z) - 27*k(z). Let y(c) be the first derivative of 4 + 1/2*c**2 + 0*c. Determine y(f(h)).
-3*h
Let n(x) = x**2. Let z(c) = -2*c**2. Let h(y) = 7*n(y) + 3*z(y). Suppose 4*g + 5*r = 3*g + 23, 3*r = 3*g + 3. Let o(p) = -3*p**2 - 5 + 8 - g. Determine o(h(w)).
-3*w**4
Let d(z) = -4*z + 4*z + 3*z. Let x = -11 + 11. Let i(u) = u - 1 + x + 1. Give i(d(f)).
3*f
Let j(v) = 9*v**2 - 3*v + 3. Let h(d) = 82*d**2 - 26*d + 26. Let q(p) = 6*h(p) - 52*j(p). Let z(i) = -i**2. Determine z(q(u)).
-576*u**4
Let v(l) = -2*l. Suppose 0 = i - 4*y + 12, 3*y + 3 = 4*i - 1. Let k(c) be the third derivative of 0*c - 1/12*c**i + 0*c**3 + 4*c**2 + 0. What is v(k(w))?
4*w
Let c(r) = -20*r**2. Let p(t) be the third derivative of t**4/24 + 6*t**2. Give c(p(m)).
-20*m**2
Let c(t) = -t. Suppose -15 = 3*j - 8*j. Let q(u) = -j*u - 2*u + 6*u. Give q(c(r)).
-r
Let d(j) = j. Let z(x) = -4*x**2. What is d(z(m))?
-4*m**2
Let m(o) = 3*o. Let k(f) = -4*f. Let n be k(-1). Let s(t) = -3*t**2 - 2*t**2 + 0*t**2 + n*t**2. Give m(s(v)).
-3*v**2
Let y(f) = -3*f. Let b(a) = -13*a**2 + 25. Determine b(y(m)).
-117*m**2 + 25
Let l(w) = -2*w**2. Let r(u) be the first derivative of 181*u**3/3 - 52. What is r(l(x))?
724*x**4
Let v(f) = 38*f. Let w(h) = 15*h**2. Give v(w(z)).
570*z**2
Let n(i) = i**2. Let g(w) = 823*w**2. Determine n(g(k)).
677329*k**4
Let r(a) = -a**2. Let l(u) = -38*u**2. Calculate l(r(w)).
-38*w**4
Let l(n) = 7*n**2. Let i(f) = -6*f + 44. Calculate l(i(k)).
252*k**2 - 3696*k + 13552
Let i(a) = 12*a. Let q(o) be the first derivative of o**2/2 + 9. Give i(q(u)).
12*u
Let b(x) = -2*x**2. Let g(w) = 12*w + 149 - 149. Determine b(g(j)).
-288*j**2
Let z(m) = 142*m. Let u(s) = -2*s**2. Give z(u(b)).
-284*b**2
Let y = 14 + -9. Let t(r) = 3*r**2 - y*r**2 + 6*r**2. Let f(h) = -h + 1. Let c(x) = -x**2 - 6*x + 6. Let w(j) = c(j) - 6*f(j). What is t(w(q))?
4*q**4
Let j(h) = -h**2. Suppose -8*v + 3*v - 5 = 0. Let c(f) = -f - 1. Let u(d) = -14*d - 10. Let n(g) = v*u(g) + 10*c(g). What is j(n(b))?
-16*b**2
Let o(p) = -2*p**2. Let c = -2 - -4. Let v = 8 + -5. Let t(k) = -v*k**c + 3*k**2 + k**2. Calculate o(t(l)).
-2*l**4
Let a(n) = -n. Let m = -10 + 14. Let u(l) = l. Let p(s) = m*a(s) + 6*u(s). Let t(v) be the third derivative of -v**4/12 + v**2. Give p(t(x)).
-4*x
Let y(q) = q**2 + 277*q. Let d(f) = f. What is d(y(i))?
i**2 + 277*i
Let k be 3*(-1 - 1)/(-4). Let j(l) be the first derivative of 0*l - k*l**2 + 3. Let a(m) = 2*m. Calculate j(a(w)).
-6*w
Let q(r) = -r. Let x(y) = 7*y**2 - 3*y - 3. Let h = -8 - -5. Let v(n) = -190*n**2 + 80*n + 80. Let s(c) = h*v(c) - 80*x(c). Calculate s(q(k)).
10*k**2
Let m(z) be the second derivative of -z**5/60 + z**2/2 + z. Let x(r) be the first derivative of m(r). Let c(k) = 6*k**2. Give x(c(b)).
-36*b**4
Let h(l) = -10636*l. Let w(t) = t**2. What is w(h(i))?
113124496*i**2
Let p(d) be the third derivative of -d**7/5040 + d**5/60 + 2*d**2. Let t(u) be the third derivative of p(u). Let c(j) = -j. What is t(c(l))?
l
Let b(s) = -57*s**2 - 33. Let j(g) = -7*g**2 - 4. Let k(p) = 4*b(p) - 33*j(p). Suppose c - 4 = -c. Let n(q) = 3*q**2 + 0*q**2 - 4*q**c. What is k(n(t))?
3*t**4
Let y(k) = -k**3 - 5*k**2 + 6*k + 3. Let f be y(-6). Let v(q) = -q + f*q - 5*q. Let x(c) = -2*c. Determine v(x(j)).
6*j
Let j(r) = 6*r**2 - 2. Let t(p) = 13*p**2 - 5. Let u(n) = -5*j(n) + 2*t(n). Let d(s) = -s**2 + 0*s + 4*s - 4*s. Give u(d(v)).
-4*v**4
Let v(s) = -29*s**2. Let o(a) be the third derivative of -a**5/60 + 6*a**2 - 1. Calculate o(v(k)).
-841*k**4
Let v(m) = -2*m. Let t be 2/(-4) + (-56)/(-16). Let l(g) = -24*g - 3 + t + 25*g. Give l(v(h)).
-2*h
Let p(j) = 2*j. Let v be (3 + -3)*(-3 + 2). Let o(z) = -z + v*z + z + 2*z**2. What is p(o(i))?
4*i**2
Let p(m) be the second derivative of -m**6/90 - m**3/6 - m. Let v(r) be the second derivative of p(r). Let n(y) = -y**2. Give n(v(c)).
-16*c**4
Let k(h) = -48*h. Let o(x) = 3*x. Calculate o(k(v)).
-144*v
Let c(o) be the third derivative of -o**5/15 + 7*o**2. Let u(f) = -3*f**2. What is c(u(a))?
-36*a**4
Let g(x) = -4*x**2 - 3. Let t(b) = -11*b**2 - 8. Let i(f) = -8*g(f) + 3*t(f). Let l(a) = 20*a**2. Determine l(i(p)).
20*p**4
Suppose 0 = -3*w - b + 6*b + 21, 7 = w - 3*b. Let d(g) = w + 5 - 2*g - 12. Let f(t) = 11*t**2. Calculate f(d(r)).
44*r**2
Let b(o) = 2*o**2 + 5 - 5. Let s(h) = -110 + 12*h + 110. Determine b(s(a)).
288*a**2
Let y(h) = 563*h. Let t(f) = 3*f. Determine y(t(v)).
1689*v
Suppose 0*a - 2*a + 13 = n, -5*n = -a - 32. Let q(h) = 2*h - 6. Let d(m) = -2*m + 7. Let k(g) = n*q(g) + 6*d(g). Let p(y) = -17*y. Determine p(k(l)).
-34*l
Let c(g) = 53*g**2. Let q(z) = 3*z**2. Determine q(c(r)).
8427*r**4
Let k(v) = 19 - 9 - 10 - v. Let t(g) be the second derivative of -g**3/6 + g. Calculate k(t(h)).
h
Let p(v) be the third derivative of v**4/6 + 29*v**2. Let m(n) be the third derivative of -n**4/12 + 2*n**2. Give m(p(u)).
-8*u
Let b(p) = p**2. Let n(y) = 100*y - 1. Give b(n(h)).
10000*h**2 - 200*h + 1
Let i(v) = -92*v**2. Let t(d) = 2*d. Give i(t(c)).
-368*c**2
Let t(c) = -c**2 - 109. Let j(d) = 8*d. What is j(t(a))?
-8*a**2 - 872
Let a(w) = -152*w**2. Let 