48*k
Let m(q) = -q**2. Let j(b) = 1537978*b**2. What is j(m(w))?
1537978*w**4
Let o(j) = -5*j + 3*j - j. Let t(b) = 2*b - 16. Determine o(t(l)).
-6*l + 48
Suppose 9*n - 29 + 2 = 0. Let p(k) = -168 - n*k**2 + 168 - 6*k**2. Let u(s) be the second derivative of -s**3/3 + s. What is p(u(z))?
-36*z**2
Let b(d) be the second derivative of 0 + 7*d + 0*d**2 + 8/3*d**3. Let o(v) = v**2. What is o(b(k))?
256*k**2
Let a(d) be the third derivative of -d**5/30 - 7*d**2. Let s(h) be the first derivative of h**2 + 33. Calculate a(s(f)).
-8*f**2
Let z(x) = -2*x + 21*x - 12*x. Let d be (-1)/(0 - (3 + -2)). Let g(s) = 2 - s**2 - d - 1. Determine g(z(r)).
-49*r**2
Let h(j) = 2*j. Let g(u) = 243572*u. Calculate g(h(b)).
487144*b
Let x(c) = -5 + c**2 - 6 - 6 + 16. Let s(d) = 14*d**2 - 3. Let o(u) = s(u) - 3*x(u). Let p(g) = 2*g**2. Calculate o(p(z)).
44*z**4
Let q(t) = -12*t**2. Let b(r) be the third derivative of -3*r**2 + 1/30*r**5 + 0*r**4 + 0*r + 0 + 0*r**3. Give q(b(k)).
-48*k**4
Let g(o) = -1423*o**2. Let x(w) = -69*w. What is g(x(v))?
-6774903*v**2
Let v(l) = 25*l**2 - 13. Let x(o) = 12*o**2 - 6. Let b(g) = 6*v(g) - 13*x(g). Let h(j) = 6*j + 5*j - 6*j - 9*j. What is b(h(p))?
-96*p**2
Let x(w) = -2*w**2. Suppose -20 = -3*b + y + y, -4*b - 2*y + 8 = 0. Let a(q) be the first derivative of 16*q**2 - 22*q**2 + 10*q**2 - b. Give x(a(f)).
-128*f**2
Suppose 0*m = 3*m - 39. Let i(f) = f + 12*f + f**2 - m*f. Let t(c) = -2*c. Give t(i(q)).
-2*q**2
Let p(q) be the first derivative of -393*q**2 - 394. Let b(o) = -o. Calculate b(p(z)).
786*z
Let p(f) = 1876*f**2. Let b(i) = -i**2 + 473. Calculate b(p(w)).
-3519376*w**4 + 473
Let m(r) = -1813*r. Let q(l) = -4*l + 11. Determine m(q(a)).
7252*a - 19943
Let m(h) be the second derivative of -h**4/12 + 13*h**2 + 10*h. Let w(b) be the first derivative of m(b). Let f(l) = -3*l**2. Give w(f(s)).
6*s**2
Let y(l) = -6*l - 2. Let n(f) = 29*f + 10. Let u(v) = -n(v) - 5*y(v). Let p(w) = -w**2 - 15*w. Calculate u(p(i)).
-i**2 - 15*i
Let g(a) = 0*a**2 + 6*a**2 + 9*a**2 - 4*a**2 + 0*a**2. Let h(q) = 2*q + q - 2*q. What is g(h(t))?
11*t**2
Suppose -n - 21 = -4*n. Let j(c) = -3*c. Let f(h) = -6*h. Let y(o) = n*j(o) - 3*f(o). Let z(d) = 9*d**2. What is z(y(v))?
81*v**2
Let s(k) = 6*k. Let j = 101 + -94. Let h(f) = j*f**2 + 0 + 0 - 2*f**2. Determine s(h(d)).
30*d**2
Let i(c) = -2*c - 18. Let b(o) = 14*o - 33. Let z(t) = -7*t + 18. Let q(x) = 6*b(x) + 11*z(x). Calculate i(q(d)).
-14*d - 18
Let f(m) = m. Let j(y) = 9*y**2 - 46169*y + 1. Give f(j(i)).
9*i**2 - 46169*i + 1
Suppose 3*j + 5 = r, 4*r + 3*j - 7 = -r. Let f(g) = -7 + 7 - 9*g**r. Let o(k) be the first derivative of k**3/3 - 1. Give o(f(n)).
81*n**4
Let a(k) = 0*k**2 - 18*k**2 - k**2. Let b(s) be the first derivative of s**6/360 + 2*s**3/3 - 13. Let u(i) be the third derivative of b(i). What is a(u(z))?
-19*z**4
Let y(t) = -3*t**2 - t + 1 + 2*t**2 - 1. Let g(v) = -2*v**2 - 4*v. Suppose 4*p = -0*p + 16. Let q(w) = p*y(w) - g(w). Let r(z) = -2*z. Determine q(r(x)).
-8*x**2
Let p(g) be the first derivative of 0*g**3 + 0*g**2 + 6 - 2*g + 1/12*g**4. Let l(n) be the first derivative of p(n). Let j(v) = -8*v**2. Calculate j(l(w)).
-8*w**4
Let m(i) = 6*i - 18*i + 13*i. Let t(w) be the first derivative of 0*w**2 - 3 - 1/3*w**3 + 0*w. Determine m(t(u)).
-u**2
Let m(r) = -r + r + 2*r. Let l(d) be the first derivative of -2*d**2 + 75. Give m(l(c)).
-8*c
Let x(a) = 1186*a**2 + 30. Let i(c) = 2*c**2. Give x(i(v)).
4744*v**4 + 30
Let v(q) be the second derivative of -q**5/12 - 2*q**2 + 4*q. Let k(c) be the first derivative of v(c). Let x(j) = -2*j**2. What is k(x(f))?
-20*f**4
Let o(p) = -2*p**2. Let s(y) be the third derivative of 0*y**4 + 1/6*y**5 + 1/6*y**3 + 0 - 8*y**2 - y. Give s(o(t)).
40*t**4 + 1
Let l(m) = 2*m. Let w(h) = 12007*h. Determine l(w(s)).
24014*s
Let r(q) = -2*q. Let z(g) = -12801*g - 2. Determine r(z(v)).
25602*v + 4
Let b(p) = 3*p**2 + 7*p. Let j(s) = -s**2 - 2*s. Let n(c) = -4*c**2 - 9*c. Let y(g) = 9*j(g) - 2*n(g). Give b(y(u)).
3*u**4 - 7*u**2
Let b(w) = 0*w - 2*w - w. Let c be (-2)/3 - 4739/(-21). Let m(y) = 225 - c - 2*y. What is m(b(r))?
6*r
Let l(f) = -337*f**2. Let q(j) be the first derivative of 2*j**2 + 1063. Give l(q(p)).
-5392*p**2
Let f(j) = -4*j**2. Let n(s) = 11*s + 6. Let w(l) = -l**2 + 30*l + 58. Let c be w(32). Let v(m) = 24*m + 13. Let d(x) = c*v(x) + 13*n(x). Determine d(f(p)).
4*p**2
Let y(l) = 116*l**2 + 5*l. Let c(s) = 3*s**2. What is y(c(b))?
1044*b**4 + 15*b**2
Let v(f) = f**2 - f - 4. Suppose 0 = -p - 2*b + 9, b + 2*b + 6 = 5*p. Let l be v(p). Let z(a) = -77*a - 5*a**l + 77*a. Let g(n) = 3*n. Determine g(z(d)).
-15*d**2
Let v(m) = -5*m. Let b(r) be the second derivative of 1/4*r**4 + 0*r**2 + 3*r + 0 + 0*r**3. Determine v(b(w)).
-15*w**2
Let b(d) be the second derivative of 4*d**3/3 + 4*d. Let h(o) be the second derivative of 2*o**3/3 + 11*o - 1. Calculate h(b(l)).
32*l
Suppose -k - 48 = -2*k. Let g(t) = 74*t**2 + 3 - k*t**2 - 3. Let x(c) = 2*c. Determine g(x(z)).
104*z**2
Let k(s) = 2*s**2 + 29. Let i(b) = 129*b**2 + 22. Give i(k(p)).
516*p**4 + 14964*p**2 + 108511
Let v(o) = 152*o**2. Let p(r) = -7*r**2 + 790. Give p(v(i)).
-161728*i**4 + 790
Let o(n) = -3*n**2 - n + 20. Let z(i) = -12*i - 2. Determine z(o(f)).
36*f**2 + 12*f - 242
Let i(y) = y**2. Let r(t) = -23*t**2 + 36*t**2 - 48*t**2. Determine r(i(u)).
-35*u**4
Let i(w) = 2*w. Let y be 4 - (-2)/4*4. Let u be -4*3/y*-3. Let t(p) = p - u*p**2 + 9*p**2 - p. Determine i(t(m)).
6*m**2
Let a(w) be the first derivative of -2*w**3/3 - 140. Let r(n) = 83*n**2. Determine a(r(c)).
-13778*c**4
Let d(u) = -4*u. Suppose 0 = -t + 4*j + 20, -t = 4*j - 7*j - 16. Suppose 5*l - 31 = 2*l + 5*c, 28 = 4*l - 4*c. Let q(o) = t - 2*o - l - 2. Determine d(q(v)).
8*v
Let h(a) = -8*a. Let j(r) = 25*r. Let n(g) = -11*h(g) - 4*j(g). Let s(o) = o + 12. Let t(x) = -2*x - 16. Let k(l) = -4*s(l) - 3*t(l). What is k(n(d))?
-24*d
Let p(o) = -15*o**2 + 2*o**2 - 18*o**2 + 4*o**2. Let l(t) = -t**2. Give p(l(c)).
-27*c**4
Let b(i) = -2*i**2. Let a(g) = 278*g + 149*g + 261*g - 414*g. Determine b(a(c)).
-150152*c**2
Let v = -10 + 10. Let a(m) = m + 0*m + 2*m + v*m. Let b(k) = -k**2 + 2*k - 2. Let s(j) = 2*j**2 - 5*j + 5. Let z(w) = -5*b(w) - 2*s(w). Calculate a(z(f)).
3*f**2
Let a(t) = 30290*t. Let j(l) = -4*l. What is a(j(c))?
-121160*c
Let p(w) = -2*w**2. Suppose 63*m = 67*m - 88. Let f(l) = 592*l - m*l**2 - 592*l. What is p(f(q))?
-968*q**4
Let d(f) = f**2. Let g(r) = 2*r**2 - 4191. Determine g(d(q)).
2*q**4 - 4191
Let o(h) = 2*h + 7*h - 5*h. Let l(t) be the first derivative of t**5/20 + 15*t**2/2 + 9. Let d(w) be the second derivative of l(w). Determine o(d(y)).
12*y**2
Let k(p) = 8*p**2 + 14. Let r(t) = 3*t**2 + 4. Let w(f) = -2*k(f) + 7*r(f). Let g(j) = -7*j**2. Determine g(w(b)).
-175*b**4
Let g(c) = -61*c**2 + 156*c**2 - 60*c**2 - 65*c**2. Let n(s) = s + 10*s - 10*s. Calculate n(g(x)).
-30*x**2
Let t(k) be the second derivative of -7*k**5/120 - 5*k**3/3 + 2*k. Let l(w) be the second derivative of t(w). Let v(p) = p. Calculate l(v(i)).
-7*i
Let j(v) = 11*v + 85*v**2 - 86*v**2 + 19*v - 4. Let p(c) = -2*c**2 + 31*c - 5. Let k(n) = -5*j(n) + 4*p(n). Let h(q) = -2*q. Give h(k(d)).
6*d**2 + 52*d
Let c(g) = -11*g. Let z(y) be the first derivative of -9*y**2 + 90. What is z(c(m))?
198*m
Let r(s) = 36*s. Let j(p) = -4*p. Let i(l) = 17*j(l) + 2*r(l). Let u = -2 + 6. Let q(f) = 0*f + u*f - f. Give i(q(m)).
12*m
Let i(l) = 746*l**2. Let f(p) = -38*p**2. Calculate i(f(a)).
1077224*a**4
Let t(g) be the first derivative of -g**2/2 - 1. Let w(d) be the first derivative of -39 + 0*d - 5/2*d**2. What is w(t(a))?
5*a
Let p(j) be the first derivative of -j**2 - 7. Let f(c) = 0*c + c - 3*c + 3 + 3. What is p(f(y))?
4*y - 12
Let v(f) = 40*f + 46. Let w(c) = 2*c. Determine v(w(p)).
80*p + 46
Let p(w) = w**2. Let v(n) be the second derivative of 1 + 13*n - 1 - 19*n**3 + 17*n**3. Determine v(p(g)).
-12*g**2
Let n(o) = -33*o**2. Let j(x) be the first derivative of -2*x**3 + 652. Calculate n(j(d)).
-1188*d**4
Let v be (-120)/(-55) + 3/33*-2. Let m(g) = -24*g**2 + 22*g**2 - 24*g**v. Let n(x) = -3*x**2. Calculate m(n(p)).
-234*p**4
Let j(o) be the third derivative of -31*o**4/24 - o**3/6 + 10*o**2 - 2. Let w(l) = -l. Give w(j(h)).
31*h + 1
Let x(j) = -75