 2*y(f). Let g(n) be the second derivative of n**3/6 - n. Determine u(g(x)).
-x**2
Let m(r) be the first derivative of -4*r**3/3 + 1. Let o(h) be the first derivative of -47 - 2/3*h**3 + 0*h + 0*h**2. Give o(m(q)).
-32*q**4
Let n(i) = -2*i + 8. Let t(y) = 2*y - 6. Let j(q) = 3*n(q) + 4*t(q). Let c(v) = -3*v - 43*v - 13 + 13. Determine c(j(b)).
-92*b
Let s(q) = -17*q**2 + 7. Let a(t) = -5*t + 1. Determine a(s(x)).
85*x**2 - 34
Let g(v) = -v**2 + 3*v + 31. Let d be g(7). Let b(i) = -4*i**2 + d*i**2 + 2*i**2 + i**2. Let y(s) = -3*s**2. Give b(y(l)).
18*l**4
Let d(i) = 5*i**2. Let j(c) be the third derivative of 23*c**5/12 + 50*c**2. What is d(j(f))?
66125*f**4
Let c(z) be the first derivative of -5*z**2 + 21*z + 761. Let n(q) = -q. Determine n(c(l)).
10*l - 21
Let j(p) be the third derivative of -p**7/2520 - p**4/2 - 8*p**2. Let b(a) be the second derivative of j(a). Let y(i) = 0*i + 2*i - 6*i. Calculate b(y(h)).
-16*h**2
Let f(t) = t**2. Suppose 0 = 4*b - 180 - 200. Let k(u) = -55*u + b*u - 48*u. Give f(k(p)).
64*p**2
Let g(h) = 920*h. Let u(d) = d**2 - 42*d. What is u(g(j))?
846400*j**2 - 38640*j
Suppose -3*s - t + 2 = 0, 3*s - 6*t = -4*t + 14. Let d(q) = 315*q - 315*q + s*q**2. Let b(a) = a + 11*a - 7*a. Give b(d(n)).
10*n**2
Let v(p) = -21*p + 1. Suppose 8*u - 4*j = 12*u - 56, 0 = -3*j + 6. Let l(b) = b - u*b + 14*b - 2*b. Give v(l(x)).
-21*x + 1
Let o(m) be the first derivative of -2*m**3/3 - 81*m - 579. Let l(p) = 3*p. Calculate l(o(i)).
-6*i**2 - 243
Suppose 3*c - 5 = 2*w, 5*c = c - w + 3. Let n(p) = 7*p + c - 1. Let z(m) = -12*m**2 - 19*m**2 + 17*m**2 + 15*m**2. Determine n(z(d)).
7*d**2
Let d(r) = r + 107. Let b(q) = -q - 10. Let n(h) = -h - 12. Let a(f) = 6*b(f) - 5*n(f). What is a(d(u))?
-u - 107
Let l(h) = 4*h. Suppose j + 2 = -0*r - r, -5*r - 4*j = 13. Let g = r + 11. Let y(s) = -2*s - 4 + g - 2. What is y(l(d))?
-8*d
Let y(x) = 71*x + 68*x - 138*x. Let l(a) be the first derivative of -36*a**2 + 35. What is l(y(d))?
-72*d
Let m(w) = w**2. Let k(z) = -3*z**2 - 17878*z + 2. Determine k(m(a)).
-3*a**4 - 17878*a**2 + 2
Let f(v) = 2*v**2 + 4427*v. Let x(w) = -4*w**2. Calculate f(x(b)).
32*b**4 - 17708*b**2
Let m(s) = -6*s**2 + 3. Let z(t) = -1. Let g(q) = -m(q) - 3*z(q). Let o(n) = 714 - 357 - 357 + n. Give g(o(x)).
6*x**2
Let b(n) = -n. Let j(u) = -1836519*u. Determine b(j(p)).
1836519*p
Let z(w) be the third derivative of w**4/12 - 178*w**2. Let k(p) = -2*p + 164. What is z(k(v))?
-4*v + 328
Let l(k) = -173*k - 3. Let q(a) = 45*a**2. Determine l(q(w)).
-7785*w**2 - 3
Let o(t) be the second derivative of 0*t**2 + 25/6*t**3 + 0 + 1/12*t**4 - 15*t. Let z(n) = -n**2. Calculate o(z(a)).
a**4 - 25*a**2
Let v(t) = t**2. Let w be 435/3 + 2 + -5 + 4. Let f(z) = -135*z + w*z - 8 + 8. Give v(f(p)).
121*p**2
Let r(z) = -21*z + 5. Let x(m) = -m + 1. Let b(t) = r(t) - 5*x(t). Let y(i) be the third derivative of 0*i + 1/12*i**4 - 9*i**2 + 0 + 0*i**3. Determine y(b(s)).
-32*s
Let n(u) be the third derivative of 17*u**6/720 + 35*u**4/24 - 49*u**2. Let j(z) be the second derivative of n(z). Let p(v) = v**2. What is j(p(m))?
17*m**2
Let f(x) = 38*x**2 - 22*x. Let m(d) be the second derivative of -d**3/6 - 339*d. Calculate f(m(l)).
38*l**2 + 22*l
Let s(t) = -t**2. Let h(u) = 73*u + 18. Let g(l) = 110*l + 26. Let n(r) = 5*g(r) - 7*h(r). Calculate n(s(v)).
-39*v**2 + 4
Let m(d) = 265*d**2 - 308*d + 2. Let c(a) = -a**2. Determine m(c(y)).
265*y**4 + 308*y**2 + 2
Let b(x) be the first derivative of x**4/8 + 18*x**2 + 13. Let f(t) be the second derivative of b(t). Let m(v) = 19*v. What is f(m(u))?
57*u
Let n(x) = 5591*x. Let k(l) = -23*l. Calculate n(k(b)).
-128593*b
Let x(u) = u**2. Let k(s) be the first derivative of -4 - 7*s - 5/3*s**3 + 0*s**2. Let z(r) be the first derivative of k(r). Give x(z(n)).
100*n**2
Let z(i) = -2*i - 2*i + 4*i + i. Let v(u) = 308*u**2 + 28*u + 28. Let r(k) = -56*k**2 - 5*k - 5. Let o(l) = -28*r(l) - 5*v(l). What is o(z(m))?
28*m**2
Let y(g) = 106*g - 36*g - 38*g - 36*g. Let w(r) = -19*r**2. Let b(s) = 9*s**2. Let z(t) = -13*b(t) - 6*w(t). Determine z(y(j)).
-48*j**2
Suppose -h - 2*h + 9 = v, 4*h + 1 = 3*v. Suppose -6 = -3*z - 0. Let a(t) = -2*t**z + 4*t**2 + t**h - 2*t**2. Let g(p) = 3*p**2. Calculate a(g(d)).
9*d**4
Let k(t) = -5*t**2. Let m(g) = 28*g**2 - 63*g - 21. Let d(q) = -q**2 + 3*q + 1. Let w(c) = 84*d(c) + 4*m(c). What is k(w(n))?
-3920*n**4
Let f(z) = -z**3 - 6*z**2 - 5*z + 3. Let q be f(-5). Suppose 2*x + q = 11. Let d(w) = -2*w**2 + 2*w - x*w + 2*w. Let h(b) = -6*b**2. Give d(h(c)).
-72*c**4
Let p(f) = -4*f + 5*f + 16 - 18 + 0*f. Let b(l) = -l. Calculate p(b(k)).
-k - 2
Let c(k) be the third derivative of k**7/144 - 11*k**5/60 - 8*k**2. Let q(n) be the third derivative of c(n). Let w(p) = 2*p. What is q(w(v))?
70*v
Let a(p) = 13*p**2 - 2*p. Let i(y) be the second derivative of -y**6/720 - 7*y**4/4 + 33*y. Let s(m) be the third derivative of i(m). Determine s(a(u)).
-13*u**2 + 2*u
Let a(d) be the first derivative of -d**5/30 - 11*d**2 - 15. Let u(h) be the second derivative of a(h). Let y(z) = -24*z. What is u(y(g))?
-1152*g**2
Let b(d) = -2*d**2. Suppose 1 = 3*r + 2*r - 3*u, -3*r + 2*u = 0. Suppose 6 = r*o + o. Let j(x) = 4*x**o - 3*x**2 + 4*x**2. Calculate b(j(h)).
-50*h**4
Let b(v) = v. Suppose -5*m = -5*c - 25, -c + 6 + 4 = 4*m. Let z(o) be the second derivative of 0 + 0*o**2 + m*o - 1/6*o**3. Give z(b(r)).
-r
Let f(a) = 19*a**3 + a**2 - a. Let y be f(1). Let i(v) = -27*v + 29 + y - 48. Let u(j) = -2*j. Determine i(u(n)).
54*n
Let k(i) be the second derivative of 0 + 1/12*i**4 + 0*i**3 + 0*i**2 - 7*i. Let d(m) = -6*m. What is k(d(l))?
36*l**2
Let x(h) = 10997*h. Let k(c) = 4*c. Calculate x(k(m)).
43988*m
Let s(o) = -54*o. Let q(r) = 20*r. Let i(b) = 4*b. Let d(t) = 18*i(t) - 4*q(t). Determine d(s(x)).
432*x
Let w(z) = -102334*z + 1. Let l(q) = 4*q. What is l(w(f))?
-409336*f + 4
Let p(m) = -35*m. Let l(k) = -105*k - 1. Let o(y) = 2*l(y) - 7*p(y). Let c(d) be the second derivative of d**4/6 + 3*d - 52. Determine c(o(w)).
2450*w**2 - 280*w + 8
Let k(g) = -3*g**2 - 2*g + 9104. Let f(j) = 3*j. Calculate k(f(c)).
-27*c**2 - 6*c + 9104
Let r be 2/6 - 1/3. Let p be -5 + 6 - (r - 1). Let t(i) = i**2. Let w(m) = 3*m**2. Let z(b) = p*w(b) - 7*t(b). Let n(f) = -11*f**2. What is n(z(o))?
-11*o**4
Let h(k) = k**2 + 104. Let u(r) = 86*r**2 - 28*r**2 - 29*r**2 - 30*r**2. Give h(u(o)).
o**4 + 104
Let i(q) = -9*q - 5 - 7 + 11*q + 12. Let y(x) = -x - 427. Calculate i(y(j)).
-2*j - 854
Let g(d) = 2*d + 740. Let b(f) = 357*f - 1. Determine g(b(h)).
714*h + 738
Let y(r) = -3*r. Let h(i) = 8597*i. Give h(y(w)).
-25791*w
Let z(y) = 29499*y. Let u(t) = t + 31. Calculate u(z(g)).
29499*g + 31
Let i(n) = 14*n**2. Let y(k) = 2*k**2. Let v(r) = i(r) - 6*y(r). Let q(d) = -134*d**2. What is q(v(t))?
-536*t**4
Let y(f) = -87*f**2 + 82*f**2 + 5*f - 3*f - 2*f. Let v(u) = 208*u**2. What is v(y(t))?
5200*t**4
Let r(o) be the second derivative of -13*o**3/2 - 489*o. Let y(n) = 23*n**2. Calculate r(y(v)).
-897*v**2
Let v(i) = -5*i**2. Suppose -6*w + 42 = -0*w. Let n(x) = -4*x**2 + x**2 - w*x + 7*x. Determine v(n(r)).
-45*r**4
Let n(b) = -4*b**2 + 662831 - 662831. Let f(h) = -2*h**2 + 4*h. What is n(f(i))?
-16*i**4 + 64*i**3 - 64*i**2
Let h(q) = 24*q - 4. Let y(b) = -48*b + 7. Let g(v) = -7*h(v) - 4*y(v). Let p(l) = 4*l. What is g(p(u))?
96*u
Let q(h) be the second derivative of h**4/4 - 5*h**2/2 + 11*h. Let o(j) = 1. Let b(n) = 5*o(n) + q(n). Let d(r) = 9*r**2. Calculate d(b(y)).
81*y**4
Let r(a) = 27 - 85 + 25 + 2*a**2 + 33. Suppose -2*o + h = 2*h - 1, 5*h - 5 = -5*o. Let f(u) = -3*u + o*u - 3*u. Give r(f(b)).
72*b**2
Let c(h) = 4519 - 4519 + 13*h**2. Let l(n) = 91*n. Give l(c(a)).
1183*a**2
Let n(r) = -40*r**2 - 66. Let s(q) = 5*q**2. Determine n(s(d)).
-1000*d**4 - 66
Let a(f) be the second derivative of -f**4/6 + 2*f. Let l(v) = 74037 + 3*v - 74037 - 19*v**2 - 3*v. What is a(l(c))?
-722*c**4
Let u(l) = -5*l - 3. Let a(q) = 3*q + 1. Let d(r) = -7*a(r) - 3*u(r). Let z(i) = -11*i + 5. Let o(v) = -5*d(v) + 2*z(v). Let t(b) = -2*b. Determine t(o(f)).
-16*f
Let d(a) = -a. Suppose -15*o + 36 = 3*o. Let i(c) = c**2 + 5*c**o + 26*c**2 - 13*c**2. Give d(i(l)).
-19*l**2
Let j(g) = -3*g. Let y(m) = 6*m**2 + 7*m + 16. Let q(t) = -2*t**2 - 2*t - 4. Let v(n)