*2
Let h(t) = -7*t**2. Let n(l) = -11*l + 18*l + l - 7*l. Give n(h(x)).
-7*x**2
Suppose 3*k - 4*k = -2. Let z(v) = -4*v**2 + 3*v. Let r(m) = 3*m**2 - 2*m. Let g(s) = k*z(s) + 3*r(s). Let w(a) = 10*a. Give g(w(i)).
100*i**2
Let y(n) = -n**2 + 5*n - 5. Suppose -2*o = 2*o - 20. Let k(u) = 3*u**2 - 12*u + 12. Let t(x) = o*k(x) + 12*y(x). Let v(j) = -j. What is t(v(a))?
3*a**2
Let o(d) = 2*d**2 + 5*d. Let p(j) = j. Let t(n) = o(n) - 5*p(n). Let b(w) = -w + 8. Let h be b(6). Let k(s) = 17*s**h - 35*s**2 + 17*s**2. Calculate t(k(v)).
2*v**4
Let n(z) = 18*z + 1. Let y(w) = -13*w + 9. Let l(d) = -3*d + 2. Let g(c) = -9*l(c) + 2*y(c). Give g(n(h)).
18*h + 1
Let q(x) be the third derivative of 0*x**4 - 1/30*x**5 + 0*x + 0 + 0*x**3 + 3*x**2. Let f(o) be the third derivative of 5*o**4/24 + 3*o**2. Determine q(f(z)).
-50*z**2
Let m(a) = -4*a - a + 5*a + 2*a. Let w(k) be the second derivative of 3*k**4/4 - 2*k. Determine w(m(p)).
36*p**2
Let z be -1 + 4 + 8 - 1. Let w(o) = -3*o - 5*o + z*o. Let a(g) = 11*g**2 + 7*g - 7. Let k(y) = 5*y**2 + 3*y - 3. Let p(s) = -3*a(s) + 7*k(s). Calculate w(p(f)).
4*f**2
Let i(v) = -v. Let z(a) = -7*a - 2. Let k be z(2). Let t = k + 12. Let r(y) = 2*y. Let g(c) = -c. Let o(j) = t*r(j) - 2*g(j). Determine i(o(u)).
6*u
Let n(f) be the third derivative of 7*f**5/60 + 9*f**2 - 2. Let m(g) = g**2 - 4*g + 4. Let l(b) = -5*b + 5. Let a(k) = -4*l(k) + 5*m(k). Determine n(a(y)).
175*y**4
Let f(s) be the third derivative of -s**5/30 + s**2. Let l(c) = -4*c**2 + 2*c + 8. Let v(w) = -4*w**2 + 3*w + 12. Let p(t) = -3*l(t) + 2*v(t). Give f(p(i)).
-32*i**4
Let q(d) = -2*d**2 + 6*d. Let c(u) = -2*u + 13903. Calculate q(c(g)).
-8*g**2 + 111212*g - 386503400
Let z(k) = -k. Suppose -13*r + 9 = -10*r. Let d(j) be the second derivative of 1/4*j**4 + 0 + 2*j + 0*j**2 + 0*j**r. What is z(d(y))?
-3*y**2
Let k(y) be the second derivative of -y**5/30 + 3*y**2/2 - 13*y. Let h(p) be the first derivative of k(p). Let w(v) = -18*v. Determine w(h(t)).
36*t**2
Let p(s) = -3*s. Let k(g) = -45863*g**2. Calculate p(k(v)).
137589*v**2
Let f(s) = 4*s. Let j(p) = -72972*p. What is f(j(c))?
-291888*c
Let i(u) = -14054*u**2. Let o(t) = 2*t. Give o(i(x)).
-28108*x**2
Let u(j) be the second derivative of 0 + 2/3*j**4 + 0*j**2 + 0*j**3 + 16*j. Let m(y) = -2*y**2. What is u(m(h))?
32*h**4
Let p(h) = 10*h + 2. Let r(o) = -464*o**2. Determine r(p(j)).
-46400*j**2 - 18560*j - 1856
Let h(l) be the first derivative of 2*l**3/3 + 74. Let i(k) be the third derivative of 5*k**4/24 + 3*k**2. Calculate i(h(o)).
10*o**2
Let i(u) be the first derivative of 9*u**2/2 + 93. Let s(q) = 6*q**2. What is i(s(w))?
54*w**2
Let m(g) = 251707*g. Let z(f) = -10*f**2. What is m(z(a))?
-2517070*a**2
Let z(o) = -o. Let g(r) = 65*r + 69 - 137 + 47*r - 40*r + 71. What is g(z(n))?
-72*n + 3
Let c(g) = -2*g - 81. Let f(w) = 2*w**2 + w + 2. Let n(s) = 69*s**2 + 33*s + 66. Let y(x) = 66*f(x) - 2*n(x). Calculate c(y(v)).
12*v**2 - 81
Let a(l) = 24*l**2 + 60*l + 10. Let r(n) = 8*n**2 + 18*n + 3. Let h(f) = 3*a(f) - 10*r(f). Let d(t) = 31*t**2. Determine d(h(g)).
1984*g**4
Let j(z) = 115*z**2 + 262. Let r(m) = -2*m. What is j(r(y))?
460*y**2 + 262
Suppose t + 4*o = -3*t, 3*t + 4*o = 0. Let v(q) be the first derivative of 2 - 1/2*q**2 + t*q. Let d(n) = -2*n. What is v(d(y))?
2*y
Let h(x) = -18107*x**2 - 1. Let p(t) = -3*t**2. Determine h(p(r)).
-162963*r**4 - 1
Let h be 4/(-4) - 6/(-1). Let i = 27 - 25. Let u(v) = v - i*v - h*v. Let l(g) = 2*g. Calculate l(u(c)).
-12*c
Let b(o) = -248*o. Let k(f) = 108*f + 30. Give b(k(z)).
-26784*z - 7440
Let l(a) = 4*a. Let b(u) = 217*u - 220. Give b(l(q)).
868*q - 220
Let v(o) = -153*o**2. Let c(h) be the third derivative of -h**4/12 + 36*h**2. Give v(c(k)).
-612*k**2
Let f(q) = -2*q**2. Suppose 0 = 2*z - 4*z + 84. Let m = z - 34. Let v(u) = -7*u - 3 + 3 + m*u. Give f(v(h)).
-2*h**2
Suppose -5*p = -2*p - 6. Let m(t) = p*t**2 - 11*t**2 - 5*t**2. Let c(h) = 2*h. Give m(c(g)).
-56*g**2
Let x(u) = 2*u**2. Suppose 2*k + 11 = 9. Let r(f) = 48*f**2 - 1. Let o(c) = -1. Let t(v) = k*o(v) + r(v). Determine x(t(b)).
4608*b**4
Suppose -3*g - 2*g = f - 18, 4*f + 5*g - 87 = 0. Let s(l) = -39*l**2 + 14*l**2 + 23 - f. Let n(k) = 4*k. Determine n(s(q)).
-100*q**2
Let q be ((-6)/(6/1))/(1/6). Let l(k) = k + 1. Let y(f) = -5*f - 6. Let j(w) = q*l(w) - y(w). Let t(h) = h**2. Determine t(j(v)).
v**2
Let z(c) = 4*c. Let t(y) be the third derivative of y**7/840 + 3*y**4/4 + 28*y**2. Let g(p) be the second derivative of t(p). Calculate g(z(q)).
48*q**2
Let p(j) = 1802415*j - 2247. Let b(c) = -1605*c + 2. Let m(y) = -2247*b(y) - 2*p(y). Let s(r) = 2*r. Calculate s(m(n)).
3210*n
Let c(h) = -13188*h. Let r(i) = 8*i. Calculate c(r(f)).
-105504*f
Let w(x) = -9*x**2. Let b(r) be the second derivative of -5/6*r**3 + 0 - 26*r + 0*r**2. Calculate w(b(g)).
-225*g**2
Let b(i) = 2*i. Let h(y) = -3*y + 479794*y**2 + 3*y - 479216*y**2. Determine h(b(p)).
2312*p**2
Let y(o) be the second derivative of 2*o**3 - o. Let w(h) be the third derivative of -h**4/12 - 30*h**2. Determine w(y(c)).
-24*c
Let o(b) = -335*b + 165*b + 168*b. Let u(p) = 6*p**2 - 1. Determine o(u(g)).
-12*g**2 + 2
Let x(s) = 2*s. Let q(u) = -3895*u**2 + 20*u. Calculate x(q(c)).
-7790*c**2 + 40*c
Let o(j) = -7*j. Let q(k) be the third derivative of -5*k**2 + 0 + 1/30*k**5 + 8*k + 0*k**3 + 0*k**4. Give o(q(p)).
-14*p**2
Let x(z) be the first derivative of 0*z**2 - 2/3*z**3 + 0*z - 11. Let p(r) = r**2. Calculate p(x(m)).
4*m**4
Let f(c) = 2*c + 0*c**2 - c**2 - 6*c**2 - 2. Let j(p) = 14*p**2 - 5*p + 5. Let z(h) = -5*f(h) - 2*j(h). Let v(b) = -3*b**2. Give v(z(s)).
-147*s**4
Let p(x) = -3*x. Let j(y) = 378667*y. Determine p(j(n)).
-1136001*n
Let b(x) = -42*x**2. Let r(f) = -8*f. Let n(z) = 4*z. Let p(i) = -7*n(i) - 4*r(i). What is b(p(o))?
-672*o**2
Let n(q) = 9*q. Let v = -747 - -747. Let i(h) be the third derivative of -4*h**2 + 0 + 0*h**4 + v*h + 1/30*h**5 + 0*h**3. Calculate n(i(p)).
18*p**2
Let m(z) = 702*z. Let k(c) = -2*c**2 - 110*c. Give m(k(b)).
-1404*b**2 - 77220*b
Let f = -2 + 7. Let n(p) = f*p - 5 + 0*p + 5. Let g(y) be the first derivative of 2*y**3/3 + 5. What is n(g(q))?
10*q**2
Let y(z) = z**2. Let m = 55 - 46. Let c(h) = m*h**2 + 10*h**2 + 19*h**2 - 33*h**2. Determine c(y(f)).
5*f**4
Let j(u) = 3*u + 2914. Let v(r) = -11*r**2. What is j(v(q))?
-33*q**2 + 2914
Let o(z) = -9*z - 14. Let d(y) = -4*y - 6. Let v(s) = -14*d(s) + 6*o(s). Let p(m) = -10*m**2 - 14*m**2 - 7*m**2. Calculate p(v(c)).
-124*c**2
Let l(p) = 8*p + 6. Let m(b) = -9*b - 7. Let g(q) = 7*l(q) + 6*m(q). Let c(z) = 2*z**2 - z. What is c(g(u))?
8*u**2 - 2*u
Let q(x) = -6*x. Let m(r) = 11811*r. Calculate q(m(f)).
-70866*f
Let m(c) = 5*c - 6. Let t(z) = 4*z - 5. Let d(q) = 6*m(q) - 7*t(q). Let f(g) = 1. Let p(x) = -5*d(x) - 5*f(x). Let w(o) = -2*o. Calculate p(w(b)).
20*b
Let s(q) = 3*q. Suppose 5*z = 3*a + 6, -4*z - 23*a + 20*a = 6. Let i(m) be the first derivative of -2/3*m**3 + z*m + 3 + 0*m**2. Determine i(s(b)).
-18*b**2
Let a(r) = -16*r - 30. Let j(w) = 33*w + 50. Let i(f) = -10*a(f) - 6*j(f). Let d(m) = 10*m. What is i(d(b))?
-380*b
Let p(w) = -2*w**2. Let x(d) be the second derivative of -85/12*d**4 + 45*d + 0*d**3 + 0 + 0*d**2. What is x(p(z))?
-340*z**4
Let i(y) = 17*y. Let u(n) = -6*n**2 - 3*n + 6. Let t(m) = 13*m**2 + 5*m - 10. Let a(h) = -3*t(h) - 5*u(h). Give a(i(b)).
-2601*b**2
Let j(w) = -w. Let o(v) be the third derivative of 17*v**4/12 + v**3/3 + v**2 + 63. Calculate j(o(h)).
-34*h - 2
Let a(p) = 3*p. Suppose 3*y = -2*l + 5*y - 40, 2*l = -2*y - 40. Let r be (-92)/l + (-6)/10. Let n(i) = i + i + 0*i + r*i. Determine a(n(o)).
18*o
Let p(i) = 3*i**2. Let a(l) = -392*l - 82. Give a(p(n)).
-1176*n**2 - 82
Let q(a) = 11*a. Let s(g) be the first derivative of 6*g**2 + 345. Determine s(q(c)).
132*c
Let n(w) = -3*w. Let g(l) = -17*l + 4142. Give n(g(i)).
51*i - 12426
Let p(f) = 4*f + 55. Let v be p(-12). Let q(g) = 4*g - 2. Let n(k) = 13*k - 7. Let r(w) = v*q(w) - 2*n(w). Let y(t) = 7*t**2. Calculate r(y(m)).
14*m**2
Let f(c) = c**2 - c - 1. Let y(d) = 4*d**2 - 2*d - 2. Let p(w) = 2*f(w) - y(w). Suppose 1 - 13 = -4*m. Let i(g) = 5 - 2 - m + 4*g. Give i(p(a)).
-8*a**2
Let m(v) = -1885*v + 986. Let o(q) = -23*q + 12. Let l(w) = -6*m(w) + 493*o(w). Let k(b) = 