*4
Let a(j) = -33*j + 2. Let b(r) = -29*r. Determine b(a(o)).
957*o - 58
Suppose 0 = 3*z + f - 8, z = 2*z + 5*f - 12. Let p(r) = -z*r**2 - 3 + 3. Let i(h) be the first derivative of -2*h**2 + 2. What is i(p(u))?
8*u**2
Let d(m) = -3*m. Let v(u) = u. Let g(b) = d(b) + 2*v(b). Let q(p) = 13*p. What is q(g(i))?
-13*i
Let m(o) = -6*o. Let u(d) = -2*d. Let s(z) = -6*m(z) + 17*u(z). Let a(t) be the third derivative of t**4/12 - t**2. Determine a(s(q)).
4*q
Let i be 1/(2/(6 + -2)). Let c be i + 6/((-4)/(-2)). Let j(d) = c*d - d - d. Let r(h) = -h. What is j(r(t))?
-3*t
Let h(w) = 2*w - 2*w - 3901*w**2 + 3902*w**2. Let g(u) be the third derivative of 0*u - 1/12*u**4 + u**2 + 0*u**3 + 0. Give g(h(v)).
-2*v**2
Let q(k) = k - 171. Let v(b) = -2*b. Calculate v(q(d)).
-2*d + 342
Let j(l) = l. Let r be 465/(-10)*2/3. Let p = r - -49. Let u(f) = -18 + p + 2*f**2. Give j(u(z)).
2*z**2
Suppose 0 = 5*j - 2*k - 29, 7*j = 3*j + 5*k + 30. Suppose j*g - 2*g - 24 = 0. Let x(d) = -8 + d**2 + g. Let p(q) = -2*q. Calculate x(p(f)).
4*f**2
Let d(m) = 7*m. Let k(l) = -5*l**2 - 3*l - 3. Let i(h) = -4*h**2 - 2*h - 2. Let a(j) = 3*i(j) - 2*k(j). Calculate d(a(q)).
-14*q**2
Let t(p) = -p. Let o be (4/(-6))/((-18)/81). Suppose 2*m = -3*k + 25, 4*k + m - 35 = -2*m. Let j(y) = o*y - k*y + 6*y. Determine t(j(s)).
-4*s
Let d(k) = -4*k - k - 3*k + 5*k. Let p(a) be the third derivative of -a**4/12 - a**2. What is p(d(q))?
6*q
Let w(q) = -q. Let v(u) = 23*u**2 + 208*u. Calculate v(w(b)).
23*b**2 - 208*b
Let w(u) = -8*u**2. Let x(z) = -30*z. Determine x(w(p)).
240*p**2
Let s(r) = 39*r + 16. Let b(c) = 6*c. Determine b(s(n)).
234*n + 96
Let o(t) = -t**2 - 2*t**2 + 2*t**2. Let f(d) = 2*d**2 + 3*d + 3. Let r(z) = -3*z**2 - 4*z - 4. Let k(y) = 4*f(y) + 3*r(y). What is o(k(b))?
-b**4
Let s(m) = -4*m. Let a(k) be the second derivative of -k**4 - 9*k. Determine s(a(q)).
48*q**2
Let h(a) = 4*a + 0*a - 3*a. Let n(k) be the second derivative of k**4/24 - k**2/2 - 3*k. Let f(o) be the first derivative of n(o). Give f(h(m)).
m
Let c(j) = 25*j. Let y(s) = s. Let v(t) = -c(t) + 20*y(t). Let a(z) = -2*z**2 + 12*z**2 - 12*z**2. Give a(v(m)).
-50*m**2
Let h(s) = 2*s + 272. Let f(b) = -b**2. Calculate f(h(d)).
-4*d**2 - 1088*d - 73984
Let f(q) = q. Let t(g) = 5*g - 1. Let v be t(1). Suppose -v*p = -3*p - 3. Let n(a) = 2*a**2 + p - 3. Determine f(n(r)).
2*r**2
Let c(q) be the third derivative of q**5/20 - 3*q**2. Let h(w) = -2*w**2. Determine h(c(p)).
-18*p**4
Let k(m) = 15*m - 5*m - 2*m. Let y(d) = 2*d**2. What is y(k(c))?
128*c**2
Let n(x) = -2*x**2. Let j(h) = h - 1. Let o(l) = 32*l - 28. Let r(c) = -168*j(c) + 6*o(c). What is n(r(v))?
-1152*v**2
Suppose 2*q - 2*c + 3*c - 4 = 0, 0 = 3*q + 2*c - 8. Suppose q = p - 4*s + 12, -4*s + 5 = -11. Let i(r) = r - p*r + r. Let j(x) = -2*x. Give j(i(h)).
4*h
Let n(r) be the second derivative of r**4/4 - 5*r. Let z(f) = 3*f**2. What is z(n(g))?
27*g**4
Let x(h) = 11557*h. Let b(c) = c**2. What is x(b(i))?
11557*i**2
Let b(r) = r**2. Let a(j) = -114*j - 1. Give a(b(m)).
-114*m**2 - 1
Let q(b) = -3*b**2 + 8. Let p(y) = 3*y. Calculate p(q(x)).
-9*x**2 + 24
Let g(x) = 0 + 0 + x. Let v = -11 - -6. Let n(u) = -u**2 + 5. Let a(i) = -2. Let r(d) = v*a(d) - 2*n(d). Determine g(r(t)).
2*t**2
Let w(f) be the second derivative of f**4/12 + f. Let u(j) be the second derivative of j**3/2 - 12*j. Determine u(w(t)).
3*t**2
Let d(f) = -72*f**2. Let a(b) = 33*b. Calculate d(a(t)).
-78408*t**2
Let a(c) = 45*c - 2. Let q(p) = -3*p. What is a(q(l))?
-135*l - 2
Let d(j) = -9*j. Let y(l) = 26*l. Let n(u) = 8*d(u) + 3*y(u). Let w(c) = -c. Give w(n(m)).
-6*m
Let i(x) = -255 - x + 255. Let w(s) = -11*s. Give w(i(d)).
11*d
Let p(g) = -5*g + 5*g - 2*g + 5*g. Let o(r) = -6*r + 6*r + 2*r**2. Give o(p(h)).
18*h**2
Let x(u) = -u. Let a(f) = -f**2 + 1081*f. What is a(x(z))?
-z**2 - 1081*z
Let l(c) = -3*c. Let y(h) be the first derivative of h**2/2 - 7. Determine y(l(v)).
-3*v
Let d(h) = 2*h. Let y(j) = 29*j + 1958 - 1958. Determine y(d(i)).
58*i
Let c(g) = 13*g + 8*g - 13*g. Let z(q) = -2*q. Calculate z(c(p)).
-16*p
Let c(i) = 86*i**2. Let q(z) = -3*z. Calculate c(q(h)).
774*h**2
Let w(m) = 2*m**2 + 7 - 1 - 6. Let z(d) = -5*d**2 + 4*d - 4. Let j(k) = -k**2 + k - 1. Let v(a) = 20*j(a) - 5*z(a). What is w(v(q))?
50*q**4
Let w(s) = -36*s. Let g(o) = 344*o**2 + 2*o. Determine g(w(n)).
445824*n**2 - 72*n
Let g(y) = 2*y**2. Let i(p) = 1 + 0 - 25*p - 8*p. Give i(g(o)).
-66*o**2 + 1
Let o(c) = 11*c**2 + 5*c. Let p(q) = 5*q**2 + 2*q. Let n(k) = 2*o(k) - 5*p(k). Let h(b) = -10*b. Give n(h(y)).
-300*y**2
Let t(m) = 13*m. Let h(i) be the second derivative of -i**4/12 - 7*i. What is t(h(n))?
-13*n**2
Let j(n) = -n**2 - 5*n - 8. Let g be j(-4). Let b(w) = 3*w. Let l(d) = 3*d. Let y(o) = g*b(o) + 3*l(o). Let k(t) = t. Determine k(y(z)).
-3*z
Let t(o) be the first derivative of -1 + 0*o + 1/2*o**2. Let s(h) be the third derivative of -h**4/24 + 18*h**2. What is s(t(g))?
-g
Let n(c) = -c + 4. Let v be n(7). Let j = v - -5. Let z(a) = a**2 + 0*a**j - 3*a**2. Let x(s) = -s**2. Determine z(x(t)).
-2*t**4
Let p(j) = 6*j - 2*j - 2*j. Let m(k) = -5*k**2. Determine p(m(d)).
-10*d**2
Let j(m) = 203*m + 42. Let o(f) = 24*f + 5. Let s(h) = 5*j(h) - 42*o(h). Let x(t) = 3*t. Determine s(x(g)).
21*g
Let u(c) = c. Let h(q) = -2780*q. Calculate u(h(k)).
-2780*k
Let o(v) = -11*v + 9. Let t(y) = -5*y + 4. Let j(m) = -4*o(m) + 9*t(m). Let n(u) be the second derivative of -u**3/6 + u. What is n(j(f))?
f
Let v(d) = -6*d**2 + 5*d + 5. Let i(h) = -h**2 + h + 1. Let c(x) = 5*i(x) - v(x). Let z be 4/2 + -2 + 0. Let g(m) = 3*m**2 + z*m**2 - 2*m**2. Give c(g(p)).
p**4
Let w(b) = -241*b - 3. Let c(t) = 19*t**2. Give c(w(n)).
1103539*n**2 + 27474*n + 171
Suppose -6*f + f = 0. Let b(h) = h + h - h + f. Let k(u) = u**2. Calculate b(k(v)).
v**2
Let m(x) be the first derivative of 4*x**2 + 2. Suppose 4*k - 304 = 184. Let f(h) = -k + 122 + 2*h**2. Calculate m(f(s)).
16*s**2
Let v(z) = 11*z**2 - 2*z. Let n(a) = -4*a. Give n(v(q)).
-44*q**2 + 8*q
Let t(c) be the third derivative of 13*c**4/24 + 14*c**2. Let r(i) = -2*i. Determine t(r(g)).
-26*g
Let v(u) = u**2 + 9*u + 2. Let s be v(-9). Let y(c) = 0*c + s*c**2 + 0*c + 0*c**2. Let n(j) = -6*j. Calculate n(y(b)).
-12*b**2
Let a(j) be the second derivative of -j**3/6 - j. Let x(v) = 6*v**2 + v**2 - 4*v**2 - 5*v**2. Calculate a(x(m)).
2*m**2
Let q(d) = -2*d**2 + 32846*d. Let p(y) = -y. What is p(q(n))?
2*n**2 - 32846*n
Let d(x) = 300*x - 2. Let j(h) = h**2. Give d(j(f)).
300*f**2 - 2
Suppose -2*w + 1 = 3. Let p(g) = -3*g**2 - 2*g. Let b(v) = v + 2*v**2 + v**2 - 2*v**2. Let z(i) = w*p(i) - 2*b(i). Let c(t) = -t. Determine c(z(o)).
-o**2
Let q(r) be the first derivative of r**3 - 5*r + 1. Let t(a) = 4*a**2 - 8. Let c(n) = 8*q(n) - 5*t(n). Let u(m) = -3*m. Calculate c(u(w)).
36*w**2
Let h(b) = -4*b**2 + 5*b. Let v(k) = -6*k**2 + 8*k. Let d(t) = -8*h(t) + 5*v(t). Let g be 30/105 + 2/(-7). Let x(y) = 2*y - y + g*y. Give d(x(u)).
2*u**2
Let f(o) be the third derivative of -o**7/1260 + o**4/12 - o**2. Let r(z) be the second derivative of f(z). Let c(t) = -7*t**2. Calculate c(r(a)).
-28*a**4
Let c(x) = 8*x**2. Let b(k) = -22 + k + 22. Determine b(c(i)).
8*i**2
Suppose 0 = -3*l - 0*l - 9. Let h = -1 - l. Let i(t) = -6 + 6 + t**h. Let a(m) = m**2. Determine a(i(c)).
c**4
Let x(f) be the first derivative of -f**3 - 2. Let t(o) = -3*o**2. Calculate x(t(y)).
-27*y**4
Let b(c) = 32*c + 5. Let g(r) = -9*r**2. What is b(g(a))?
-288*a**2 + 5
Let o(i) = i**2 + 130*i - 130*i. Let h(z) = 2*z**2 - 1. Let b be h(-2). Let y(x) = -3*x - 2*x + b*x. Give y(o(a)).
2*a**2
Let w(y) = -y. Let r(f) = -2*f + 9. Let s(d) = 5*d - 18. Let o(b) = 7*r(b) + 3*s(b). Let u be o(-6). Let m(q) = u*q + q - 2*q. Determine m(w(c)).
-2*c
Let o(m) be the third derivative of 0*m**3 + 0*m - 1/6*m**4 + 3*m**2 + 0. Let d(p) = 0*p**2 + 0*p**2 + 2*p**2. Determine o(d(f)).
-8*f**2
Let a(c) = 2954*c**2. Let o(t) = t. What is a(o(g))?
2954*g**2
Let r(j) = -3*j - 8. Let o(g) = g + 3. Let y = 0 + -3. Let t(k) = y*r(k) - 8*o(k). Let h(b) be the third derivative of b**5/20 - b**2. Determine h(t(q)).
3*q**2
Let s(l) be the first derivative of -2*l**2 + 6. Let v(q) = 5*q**2. What is v(s(i))?
80*i**2
Let a(z) = -10*z + 2*z + 6*z. Let l(k) = k**2 + k + 2. L