7*x. Determine f(g(b)).
-7*b**2
Let a(j) be the first derivative of j**3/3 + 11. Let t(k) = 4*k**2. What is a(t(w))?
16*w**4
Let x(g) = -482*g**2. Let r(n) = 4*n**2. Calculate x(r(b)).
-7712*b**4
Let k(o) = 47*o. Let h(l) = -46*l. Let y(c) = -3*h(c) - 2*k(c). Let a(g) = 3*g**2. Give y(a(m)).
132*m**2
Let m(x) = -44*x**2 - 2. Let t(p) = 573*p**2 + 27. Let y(j) = 27*m(j) + 2*t(j). Let s(w) = w. What is s(y(a))?
-42*a**2
Let b(m) = -17*m**2. Let k(x) = 286*x**2 + 1. What is k(b(j))?
82654*j**4 + 1
Let q(b) = 6*b**2. Let j(l) = l + 3. Let w(x) = 2*x + 4 - 3 + 6. Let z(c) = 14*j(c) - 6*w(c). Calculate z(q(p)).
12*p**2
Let q be (-5 - -1)/(-1) - -2. Suppose -d + q = d. Let k(a) = 0*a**2 - a**2 + d*a**2. Let t(c) = 4*c. Determine k(t(s)).
32*s**2
Let h(a) = 11*a**2. Let u(v) = -8*v**2. Calculate u(h(c)).
-968*c**4
Let l(s) = s**2 + 6*s**2 - 3*s**2. Let g(n) be the second derivative of -n**3/3 - 2*n - 44. Determine g(l(a)).
-8*a**2
Let l(h) = 249*h. Let t(w) = 31*w. Let f(y) = 4*l(y) - 33*t(y). Let b(a) = -a. What is f(b(d))?
27*d
Let y(o) = 2*o**2. Let z(x) = -5*x**2 - 2 + 1 + 1. Determine z(y(g)).
-20*g**4
Let t(b) = -11*b**2 - 5*b - 5. Let g(a) = -5*a**2 - 7*a**2 - 2*a**2 + 9*a**2 - 2 - 2*a. Let r(p) = 5*g(p) - 2*t(p). Let o(n) = n**2. What is r(o(h))?
-3*h**4
Let h(w) = -2*w. Let b(s) be the third derivative of s**5/20 - 7*s**2. What is h(b(u))?
-6*u**2
Let k(q) = 2*q. Let z(d) = 9*d + d + 6*d - 2*d. What is z(k(b))?
28*b
Let u(k) = -17*k. Let c(z) be the first derivative of z**2 - 2. Determine c(u(t)).
-34*t
Let t(y) = 2*y**2. Let i(p) be the first derivative of -1 + 1/3*p**3 + 0*p**2 + 3*p. Let d(s) be the first derivative of i(s). Calculate t(d(f)).
8*f**2
Let o(j) = -302*j**2. Let c(k) = 11*k**2. Calculate o(c(m)).
-36542*m**4
Let h be 8 - -1 - 4/2. Let o = h - 5. Let i(p) = o*p - 4*p + p. Let n(u) = -4*u. Calculate i(n(x)).
4*x
Let h = 5 - 22. Let q(i) = 14*i**2 + 17*i - 17. Let d(l) = 5*l**2 + 6*l - 6. Let s(o) = h*d(o) + 6*q(o). Let p(u) = -6*u. Give s(p(z)).
-36*z**2
Let j(f) = -f**3 + 4*f**2 - 3*f + 1. Let g be j(2). Let b(m) = -16*m. Let o(n) = 31*n. Let d(l) = g*o(l) + 5*b(l). Let z(p) = -p**2. Give z(d(c)).
-169*c**2
Let q(y) = -y. Let h(v) = 101 - 52 + 2*v**2 - 49. Determine h(q(d)).
2*d**2
Let r(d) = -d**2. Let k(f) = 30*f - 14*f - 24*f. What is r(k(y))?
-64*y**2
Let c(j) = j - 2. Let v be c(-2). Let f = 7 + v. Let i(l) = 4*l - l + 3*l - f*l. Let o(s) = s**2. Determine o(i(h)).
9*h**2
Let q(s) be the first derivative of 2*s**3/3 - 2. Let l(n) = 2*n**2 - 1 + 6 - 5. Give q(l(w)).
8*w**4
Let d(h) = h. Let r(w) = -532*w**2 - 77*w - 77. Let v(n) = -14*n**2 - 2*n - 2. Let y(t) = -2*r(t) + 77*v(t). Determine y(d(z)).
-14*z**2
Let m(t) = 3*t**2. Let h(d) be the second derivative of d**5/120 - d**3/2 - 2*d. Let b(c) be the second derivative of h(c). What is m(b(j))?
3*j**2
Let f(y) be the third derivative of y**4/8 + 12*y**2. Let g(l) be the first derivative of -3*l**2/2 + 2. Calculate g(f(p)).
-9*p
Let y(m) = 20*m**2. Let u(f) = 22*f**2. Calculate u(y(d)).
8800*d**4
Suppose 2*c = -5*r + 10, 2*c = r - 2*c + 20. Let w be -1*(3 - r) - -8. Let g(n) = n + 0*n - w*n. Let u(l) = -l**2. What is u(g(b))?
-16*b**2
Let t(r) = 92*r**2. Let n(l) = 56*l**2 + 2. Give t(n(g)).
288512*g**4 + 20608*g**2 + 368
Let u(h) = 5*h. Let n(q) = -1276*q. Determine n(u(p)).
-6380*p
Let s(a) = 144*a + a**2 - 144*a - 4*a**2. Let p(u) = 40*u. What is p(s(o))?
-120*o**2
Let j(r) = 469*r**2. Let w(y) = 3*y**2. What is w(j(t))?
659883*t**4
Let i(h) = -6*h + 7. Let m(y) = -4*y + 5. Let w(j) = 5*i(j) - 7*m(j). Let x(l) = 3*l. Give w(x(g)).
-6*g
Let i(t) = -39*t**2 + 2*t. Let f(a) = -2*a. Determine i(f(k)).
-156*k**2 - 4*k
Let o(n) = -11*n + 19*n - 24*n. Let l(g) = -3*g**2. What is o(l(t))?
48*t**2
Let t(i) = 2*i**2. Let y(p) be the third derivative of p**5/15 - 9*p**2. Determine t(y(k)).
32*k**4
Suppose 0 = -o - 5 - 1. Let t be 4/o*(-27)/6. Let k(s) = -2*s**2 - t*s**2 + 6*s**2. Let d(b) = 3*b**2. What is k(d(y))?
9*y**4
Let g(w) = w**3 - w**2 - w. Let m(z) = -z - 5. Let x be m(-7). Let r be g(x). Let l(h) = -r*h + 4*h + 0*h - 3*h. Let n(s) = -3*s**2. Calculate n(l(a)).
-3*a**2
Let v(h) = 4*h. Let b(z) = -3*z. Let u(d) = 6*b(d) + 5*v(d). Let i be 802/10 + 2/(-10). Let n(f) = -2*f + 0*f - i + 80. Determine u(n(s)).
-4*s
Let y(q) be the third derivative of q**5/10 - 28*q**2 + q. Let g(r) = 9*r**2. Calculate y(g(a)).
486*a**4
Let v(a) = a + 1. Let x(g) = 4*g + 4. Let w(r) = -5*v(r) + x(r). Let z(n) = n**2 + 2*n + 2. Let o(c) = -2*w(c) - z(c). Let m(h) = 7*h - 5*h - 3*h. Give m(o(p)).
p**2
Let i(r) be the second derivative of r**4/12 - 38*r. Let x(j) = -22*j**2. Give x(i(f)).
-22*f**4
Let z be 1/(-2) - 25/(-10). Let h(j) = -j + j**z + j + 0*j**2. Let m(d) = -4*d. Determine m(h(y)).
-4*y**2
Let h(v) = 64*v**2. Let l(k) = -k. Calculate l(h(c)).
-64*c**2
Let x(f) = f. Let b(j) = -12826*j. Determine x(b(l)).
-12826*l
Suppose 4*w = 6*w - 2, 3*w - 18 = -5*r. Let i(u) = -17*u + 4 - r - 1. Let h(a) = -2*a**2. Determine h(i(s)).
-578*s**2
Let h(l) = l. Let a(d) = 32998*d**2. Give a(h(p)).
32998*p**2
Let n(x) = -x**2. Let k = -5 + 7. Let f be k/(-5) + 2/5. Let q(u) = -u**2 + 3*u**2 + f*u**2. Give n(q(z)).
-4*z**4
Let o(n) be the first derivative of -n**2/2 + 4. Let c(u) = -49*u. Give o(c(v)).
49*v
Let d(j) be the second derivative of j**4/2 + 2*j - 3. Let k(q) = q**2. Calculate k(d(h)).
36*h**4
Let l(z) = -29*z + 3*z + 5*z + 12*z. Let s(v) = v. Determine s(l(r)).
-9*r
Let t(b) = -7*b. Let k(p) = 8*p + 6. Let u(i) = 23*i + 17. Let s(d) = -17*k(d) + 6*u(d). Determine s(t(y)).
-14*y
Let h(o) = -68*o**2. Let p(v) = 308*v. Calculate h(p(r)).
-6450752*r**2
Let v(z) = -z + 1. Let w(x) = x**2 + 4*x - 4. Let b(l) = 4*v(l) + w(l). Let q(t) = 10*t**2. Give b(q(k)).
100*k**4
Suppose -28 = -4*y - 5*w - 0, 2*w = -2*y + 12. Let v be 1*(-2 + 0) + 5. Let t(f) = -2*f**2 + v*f**2 + 2*f**2 - y*f**2. Let j(o) = -4*o**2. Determine j(t(p)).
-4*p**4
Let q(y) = -y + 1. Let i(b) = b**3 + 9*b**2 + 7*b - 6. Let x be i(-8). Let t(d) = 2*d - 1. Let n(g) = x*q(g) + 2*t(g). Let u(w) = w. Give u(n(r)).
2*r
Let z(x) = 460*x**2. Let k(m) = 6*m**2. Determine k(z(l)).
1269600*l**4
Let j(f) be the second derivative of f**6/72 - 2*f**3/3 + 8*f. Let a(v) be the second derivative of j(v). Let w(g) = -2*g. What is w(a(x))?
-10*x**2
Let g(i) = -1754 - 4*i**2 + 1754 + 2*i**2. Let c(t) = -7*t - 1. Determine g(c(r)).
-98*r**2 - 28*r - 2
Let s(q) = q**2. Suppose -5*y - 8 = -9*y. Let m = -1 - -3. Let r(c) = c**2 + c**m - c**y + c**2. Give r(s(k)).
2*k**4
Let u(f) be the first derivative of 0*f**2 + 1 - 2/3*f**3 + 0*f. Let k(a) = 0*a**2 - 3*a**2 + 0*a**2. What is u(k(x))?
-18*x**4
Let z(f) = 7*f**2. Let w(k) = 6*k**2 + 37. What is w(z(l))?
294*l**4 + 37
Let w(g) = -3*g + 29. Let z(f) = -34*f. Calculate w(z(d)).
102*d + 29
Let w(x) = -3*x. Let a(l) = 6*l + 3. Let t(h) = 13*h + 7. Let z(g) = 7*a(g) - 3*t(g). Calculate w(z(q)).
-9*q
Let j(x) = x**2 + x - 1. Let d(u) = 15*u - 15. Let m(s) = 2*d(s) - 30*j(s). Let r(t) = -2*t**2. Determine m(r(z)).
-120*z**4
Let n(a) = -a. Let p(m) = -6*m + 26 - 5*m - 26. Calculate p(n(w)).
11*w
Let g(d) = 7*d. Let t(u) = 10*u**2 - u**2 - 8*u**2. Give t(g(w)).
49*w**2
Let f(i) = -2*i. Let w(j) = 1318*j. Determine f(w(g)).
-2636*g
Let g(z) = -2*z**2 + 4*z. Let o(u) = u. Let r(a) = g(a) - 4*o(a). Let n(s) = -4*s**2. What is n(r(t))?
-16*t**4
Let u(h) = -4*h**2. Let y(j) be the first derivative of -3*j**2/2 - 3. What is y(u(z))?
12*z**2
Let r(j) = -3249*j. Let u(i) = -3*i. Determine r(u(f)).
9747*f
Let a(q) = 2*q**2. Let i(o) = 51*o**2. What is i(a(t))?
204*t**4
Let m(y) be the first derivative of 3 + 0*y**2 - 4 + y**2. Let z(v) = -4*v**2 + 2 + 0*v**2 - 2. What is z(m(t))?
-16*t**2
Let b(y) be the first derivative of 0*y**2 + 0*y - 2/3*y**3 - 3. Let n(z) be the first derivative of -z**2/2 + 1. Give b(n(k)).
-2*k**2
Let q(f) = -120*f + 1. Let h(i) = 5*i. Calculate h(q(r)).
-600*r + 5
Let z(x) = -5*x**2 + 2. Let c(o) be the second derivative of o**4/6 + o + 1. Calculate z(c(a)).
-20*a**4 + 2
Suppose 5*z - 15 + 0 = 0. Let t(d) = -z*d - 3*d + 0*d + 2*d. Let o(j) = -2*j. What is t(o(m))?
8*m
Let t(b) = -24*b**2 - 3*b + 3. Let m(z) = 48*z**2 + 5*z - 5. Let j(u) = -3*m(u) - 5*t(u). Let g(l) = l. What is j(g(r))?
-24*r*