y. Let i(z) = 8*z**2. Calculate i(v(c)).
8*c**2
Let u(s) be the second derivative of s**7/840 - s**4/2 + 4*s. Let o(n) be the third derivative of u(n). Let v(m) = -m. What is o(v(i))?
3*i**2
Let m(y) = -112*y**2 + 3*y. Let j(t) = -8*t**2. What is m(j(d))?
-7168*d**4 - 24*d**2
Let u(h) = 3*h. Let k(n) = -n + 3. Let i(r) = 2*r - 7. Let x(s) = -s**3 - 7*s**2 - 3. Let g be x(-7). Let p(o) = g*i(o) - 7*k(o). Determine u(p(m)).
3*m
Let z(h) = 3*h**2. Let x(k) = 6*k**2 + 3 + 3*k**2 - 3. Give x(z(c)).
81*c**4
Suppose 2*d - 10 = -3*d. Let f(y) = -2*y**d + 115*y - 115*y. Let z(c) be the third derivative of c**4/6 + c**2. Determine f(z(i)).
-32*i**2
Let a(w) = 2*w**2 + 7*w. Let p(d) = -d**2 - 3*d. Let t(c) = 6*a(c) + 14*p(c). Let f(r) be the first derivative of 2*r**3/3 + 4. Give t(f(g)).
-8*g**4
Let g = -11 - -16. Suppose 4*y + 8 = w, -g*w + 4*y = -6*w. Let k(i) = 3*i - 2*i - w*i. Let c(z) = 2*z. What is k(c(f))?
-6*f
Suppose 0 = -q + p + 1, -5 - 2 = -q - 5*p. Let i(z) = 3*z**2 + 2*z**q + 4*z**2. Let c(r) = -r**2. Calculate c(i(o)).
-81*o**4
Let p = 5 + -10. Let r be (p/10)/((-2)/8). Let d(t) = 3 - r*t - 3. Let l(h) = -h. Calculate d(l(w)).
2*w
Let t(g) = 12*g**2. Let h(n) = 582 - n**2 - 582. Determine t(h(j)).
12*j**4
Let g = -8 + 3. Let x(b) = -2*b + 2. Let z be x(g). Let f(p) = 2*p - z + 12. Let a(n) = -3*n. Determine a(f(w)).
-6*w
Let x(u) = 2*u. Suppose -2*o - 6*h = -3*h - 19, -3*h = -5*o - 5. Suppose 10 = b + 4*b. Let k(v) = 6*v**2 - 2*v**b + 0*v**o. Determine x(k(w)).
8*w**2
Let t(k) = 2*k**2. Let i be ((-9)/6)/(4/(-8)). Let w(a) = -a - i*a + 7*a - 2*a. Calculate w(t(v)).
2*v**2
Suppose 3*b = -d + 14, 3*d = -4*b - 0*b + 27. Let c(k) = b*k - 5*k + 3*k. Let u(m) = 3*m**2. Determine c(u(p)).
3*p**2
Let k(d) = -7*d. Let j(l) = -l - 5. Let x(z) = z + 7. Let b(o) = 7*j(o) + 5*x(o). Determine b(k(t)).
14*t
Let i(k) = 3*k. Let x(c) be the first derivative of 3*c**2/2 + 20. Determine x(i(y)).
9*y
Let l(z) = -5 + 4*z + 5. Let i(x) be the third derivative of 0*x - 1/30*x**5 + x**2 + 0*x**3 + 0*x**4 + 0. Give i(l(g)).
-32*g**2
Let r(u) = -4*u**2 - 48. Let p(s) = 2*s. Give r(p(k)).
-16*k**2 - 48
Let d(q) = -2*q. Let s(j) = 3*j**2 + j**2 + 2*j**2. Calculate s(d(u)).
24*u**2
Let p(v) = 9*v**2 - 16. Let r(u) = -8*u. Determine p(r(j)).
576*j**2 - 16
Let u(w) = -w + 0*w + 3*w + w. Let k(z) = 5*z. Give k(u(f)).
15*f
Let l(s) = 2*s**2. Let i(z) be the second derivative of -5*z**3/6 - 14*z. Give l(i(w)).
50*w**2
Let r(o) = 8*o. Let f(n) = -5*n**2 + 1 + 4*n**2 - 1. What is f(r(b))?
-64*b**2
Let j(c) = -2*c**2 + 225*c. Let b(k) = -3*k. Give j(b(s)).
-18*s**2 - 675*s
Let t(b) be the second derivative of -b**6/360 + 2*b**3/3 + 4*b. Let m(z) be the second derivative of t(z). Let w(j) = -j. Calculate m(w(c)).
-c**2
Let h(v) be the first derivative of -v**3/3 + 1. Let m(j) be the third derivative of j**2 + 0 + 1/8*j**4 + 0*j + 0*j**3. What is m(h(o))?
-3*o**2
Let l(s) = 7*s - 2. Let i(x) = -81*x + 29. Let j(u) = 80*u - 30. Let w(g) = -5*i(g) - 4*j(g). Let b(f) = -25*l(f) + 2*w(f). Let c(n) = -n. Calculate c(b(y)).
5*y
Let m be (-2)/6 - (-2)/6. Let t(v) = 2*v + m*v + 0*v. Let n(f) be the third derivative of -f**4/24 - 7*f**2. What is t(n(j))?
-2*j
Let w(b) = -3*b. Let t(d) = -29*d**2 + 4. Calculate w(t(k)).
87*k**2 - 12
Let x(d) = 2*d + d + 0*d. Let i(l) = -1. Let n(y) = -5*y + 1. Let u(r) = i(r) + n(r). What is u(x(s))?
-15*s
Let q(j) = 3*j**2 + 3. Let h(z) = z - 15*z + 12*z. Determine h(q(w)).
-6*w**2 - 6
Let j(d) = -44*d. Let m(i) = 131*i - 2*i**2 - 131*i + 4*i**2. Calculate m(j(x)).
3872*x**2
Let y(w) = -32*w**2. Let q(n) = 15*n**2. Determine y(q(x)).
-7200*x**4
Let l(p) = p. Let m(q) be the third derivative of -q**4/24 + q**3/3 - 2*q**2. Let r(f) be the first derivative of f + 2. Let t(h) = m(h) - 2*r(h). Give t(l(i)).
-i
Let g(u) = 2*u. Let z(q) = 4*q. Let r(w) = 3*w. Let o(j) = -8*r(j) + 5*z(j). What is g(o(t))?
-8*t
Let q(g) = -18*g. Let w(h) = -32*h. What is q(w(p))?
576*p
Let t(u) = u + 0*u - 3*u. Let w(h) = 11*h + 22. Let v(m) = 1. Let y(j) = -22*v(j) + w(j). Calculate y(t(q)).
-22*q
Let i(x) = -2*x**2. Let t(o) be the first derivative of 5*o**3/6 + 4*o + 1. Let p(h) be the first derivative of t(h). Calculate p(i(z)).
-10*z**2
Let a(l) = l - 1. Let i be a(3). Let d(h) = 2*h**2 + h - i*h + h. Let v(r) = -2*r**2. Calculate v(d(y)).
-8*y**4
Let g(b) be the second derivative of b**5/60 - b**3/6 + 5*b. Let s(j) be the second derivative of g(j). Let k(x) = -5*x. Determine s(k(o)).
-10*o
Let o(m) = -8*m. Let y be -2 + (-16)/(-6)*3. Let h(z) = 3*z - 17. Let a(v) = -v + 6. Let k(r) = y*h(r) + 17*a(r). Give o(k(w)).
-8*w
Let s(b) = 241*b**2. Let f(i) = 16*i**2. Determine s(f(l)).
61696*l**4
Let c(v) = 2*v**2. Let b(y) = 41*y. Give b(c(l)).
82*l**2
Let a(o) be the first derivative of 1/2*o**3 + 3 + 0*o**2 - 2*o. Let v(t) be the first derivative of a(t). Let u(k) = k. Give u(v(r)).
3*r
Let m(j) be the second derivative of -j**4/3 - j. Let v(s) = -5*s - 24. Let g(o) = 4*o + 20. Let f(q) = 6*g(q) + 5*v(q). Calculate f(m(a)).
4*a**2
Let c(r) be the second derivative of -r**3/6 + r. Let y(m) = m**2 - 2*m**2 - 3*m**2 + 5*m**2. What is c(y(j))?
-j**2
Let j(q) = -4*q**2. Suppose 13 = 5*a + 3*p - 13, 4*p + 12 = 5*a. Let k = a + 2. Let x(c) = -4*c**2 - 5*c**2 + k*c**2. Determine j(x(d)).
-36*d**4
Let x(g) = g + 6. Let c be x(-10). Let k(d) = d - 4. Let u(o) = 3*o - 11. Let t(j) = c*u(j) + 11*k(j). Let n(q) = -9*q. Give t(n(v)).
9*v
Let k(c) = -3*c. Let q(a) be the third derivative of -a**5/15 - 6*a**2. What is k(q(u))?
12*u**2
Let r(l) = -2*l**2. Suppose -4*i = -5*i - 8. Let p(w) = -w**2 - w. Let c(m) = -6*m**2 - 8*m. Let s(k) = i*p(k) + c(k). Give r(s(o)).
-8*o**4
Let c(d) = 10*d. Let b(p) = -3*p. Let j(h) = -7*b(h) - 2*c(h). Suppose 8 = -0*w + 2*w. Let u(k) = -2*k - 4 + w. What is u(j(m))?
-2*m
Let d(k) = k. Let b = 9 - 24. Let f(i) = -i - 4. Let h(l) = 3*l + 15. Let q(c) = b*f(c) - 4*h(c). Determine q(d(p)).
3*p
Let z(w) = -3. Let x(g) = g**2 + 5. Let d(a) = 3*x(a) + 5*z(a). Let y(b) = -2*b + 2*b - 62*b**2 + 63*b**2. Calculate d(y(f)).
3*f**4
Let f(a) = 947*a. Let s(m) = -3*m. Determine f(s(h)).
-2841*h
Let y(d) = 117*d**2 + 27*d. Let j(o) = -9*o**2 - 2*o. Let f(q) = 27*j(q) + 2*y(q). Let g(b) = -3*b**2. What is g(f(p))?
-243*p**4
Let p(y) = 7*y**2 - 13*y**2 + 0*y**2 + 5*y**2. Let t(a) = -a**2. Determine p(t(n)).
-n**4
Let v(g) = 9*g**2 + 8*g**2 - 15*g**2. Let k(n) = 4*n**2. Calculate k(v(h)).
16*h**4
Let w(s) = -8*s**2. Let a(c) = c**2 - c. Let t(x) = -30*x**2 + 25*x. Let q(p) = -25*a(p) - t(p). Calculate q(w(z)).
320*z**4
Let a(w) = 4*w. Let s(g) = 74 + 3*g**2 - 74. Determine s(a(c)).
48*c**2
Let h(m) = -3*m + 5. Let r(j) = j - 3. Let u(n) = -3*h(n) - 5*r(n). Let x(b) = 2*b - 3*b - b. Determine x(u(q)).
-8*q
Let v(x) = 2*x. Let y(z) = 244*z. Determine v(y(g)).
488*g
Let h(m) be the first derivative of -m**3 + 2. Let n(g) be the third derivative of g**5/30 + g**2. What is h(n(i))?
-12*i**4
Let d(f) = 1 + f - f - f. Let c be d(-7). Let y(a) = -c*a**2 + 2*a**2 + 2*a**2. Let b(l) = 2*l. Give b(y(k)).
-8*k**2
Let j(z) = 150*z**2. Let q(w) = -w**2. Give q(j(b)).
-22500*b**4
Let a(g) = -6*g**2. Let j(s) = -11*s**2. Calculate j(a(z)).
-396*z**4
Let m(a) = -6*a - 6. Let q(g) = 8*g**2. Give m(q(t)).
-48*t**2 - 6
Let l(w) = 2*w**2. Let c(h) = -30*h - 5*h**2 + 55*h - 25*h. Calculate c(l(k)).
-20*k**4
Let j(r) be the third derivative of 1/30*r**5 + 0 + r**2 + 0*r + 0*r**4 + 0*r**3. Let l(n) = 0*n + n - 3*n. Calculate j(l(v)).
8*v**2
Let j(c) = -3*c. Let v(d) = -2*d - 35*d + 11 - 11. Determine v(j(f)).
111*f
Let r = -2 + 9. Let j(u) = 6*u**2 + 3*u**2 - r*u**2. Let h(g) = -11*g**2. What is h(j(y))?
-44*y**4
Let y(z) be the second derivative of z**7/2520 - z**4/4 - 2*z. Let c(g) be the third derivative of y(g). Let n(p) = p + 4*p - 3*p. Determine c(n(k)).
4*k**2
Let m = 2 - -3. Suppose m*z = 10*z - 10. Let s(o) = 2*o - 2*o - z*o. Let k(t) = -2*t**2. What is s(k(u))?
4*u**2
Let o(u) = 6*u. Let t be 20/6 - (-2)/3. Let q(i) = t*i + i - 3*i. What is q(o(y))?
12*y
Let y(d) = -377*d. Let v(w) = 2*w**2. Give v(y(t)).
284258*t**2
Let h(t) = -t**2. Let o(m) be the first derivative of -4*m**2 - 4 + 6*m**2 + 4*m**2 + 0*m**2. What is h(o(c))?
-144*c**2
Let y(t) = -5*t**2 + 77*t. Let a(c) = -2*c. Determ