e of g**4/12 - g**2 - 38. Let o(x) be the second derivative of 5*x**3/3 - 2*x. Calculate o(m(f)).
20*f
Let v(h) = h**2. Let y(o) = -20*o + 7*o + 3 - 5 - 20*o. What is y(v(l))?
-33*l**2 - 2
Let z(l) = -l**2. Let y(j) = -3*j + 156 - 156. What is y(z(t))?
3*t**2
Let h(x) = 15*x - 15*x + 3*x**2. Let b(t) = 3*t. Determine b(h(q)).
9*q**2
Let b(d) = d**2. Suppose 1 = 5*a - 9. Let v(x) = x**2 - 4*x - 1. Let m be v(5). Let p(h) = m*h - a*h - 4*h. What is p(b(z))?
-2*z**2
Let p(k) = -849*k**2. Let g(u) = -2*u**2. Give g(p(a)).
-1441602*a**4
Suppose 0 = u + 1, -2*z = 2*u - 5 + 3. Let p(k) = -5*k**2 - z*k**2 + 5*k**2. Let s(x) = 2*x**2. Give s(p(g)).
8*g**4
Let v(c) = -3*c + 8 - 2 + 0 - 7. Let d(b) = -2*b. Give v(d(f)).
6*f - 1
Let p(z) = -226*z**2. Let a(u) = u. What is a(p(q))?
-226*q**2
Let b(c) = -2*c**2. Let k(i) = 16*i. What is b(k(s))?
-512*s**2
Let j(y) be the first derivative of y**2 - 14. Let g(x) = -x**2. Determine j(g(s)).
-2*s**2
Let k(l) = -l. Let u(c) = 652*c**2 + 1. Determine k(u(s)).
-652*s**2 - 1
Let q(u) = -198*u. Let t(w) = 2*w**2. Give q(t(f)).
-396*f**2
Let g(x) = -7*x**2. Let o(s) be the first derivative of s**5/30 - 5*s**2/2 + 2. Let b(l) be the second derivative of o(l). Give g(b(m)).
-28*m**4
Let l(f) be the second derivative of f**7/1260 + f**4/4 + 3*f. Let w(s) be the third derivative of l(s). Let m(p) = -2*p**2. Determine w(m(h)).
8*h**4
Let x(z) = -74*z**2. Let s(j) = -247*j**2. What is s(x(t))?
-1352572*t**4
Let q(s) = 2 + s + s - 2. Let c(k) = -3*k - 4. Suppose h - 55 = 6*h. Let y(t) = 9*t + 11. Let i(g) = h*c(g) - 4*y(g). What is i(q(w))?
-6*w
Let o(y) = 6*y. Suppose 3*l = -n + 10, 0 = -4*l + 4*n - 0 + 8. Let k(t) = -l*t + t - 6 + 6. Calculate o(k(w)).
-12*w
Let p(b) = -159*b**2. Let n(u) = -2*u**2. What is n(p(w))?
-50562*w**4
Let c(l) = -97*l - 2. Let k(y) = -2*y**2. Calculate k(c(v)).
-18818*v**2 - 776*v - 8
Let f(x) = x**2. Let i(t) = -18*t - 3. Determine f(i(g)).
324*g**2 + 108*g + 9
Let a(z) = -3*z. Let y(u) = 2*u**2 + 5*u - 6. What is a(y(v))?
-6*v**2 - 15*v + 18
Let n(c) = 3*c. Let p(w) = -7*w**2 - 4*w**2 + 8*w**2. Determine p(n(t)).
-27*t**2
Let b(u) = 9*u - 21*u + 12*u + 18*u**2. Let k(y) = 2*y**2. Calculate k(b(t)).
648*t**4
Suppose 0 = -2*h + 1 + 1. Let a(t) = h + 2*t - 7 + 6. Let k(p) be the first derivative of p**2/2 + 2. Give a(k(y)).
2*y
Let w(k) = 2*k**2 + k**2 - k**2 + 3*k**2. Suppose -5*u + 55 = -0*u. Let v(h) = -4 + u*h + 4 - 9*h. What is v(w(d))?
10*d**2
Let y(j) be the first derivative of j**3 - 1. Let v(n) be the second derivative of -4*n + 0 + 0*n**2 + 1/6*n**4 + 0*n**3. Determine v(y(w)).
18*w**4
Let i(y) = -5*y**2 - 3*y + 3. Let a(q) = -11*q**2 - 7*q + 7. Let p(c) = -3*a(c) + 7*i(c). Let f(k) be the first derivative of -k**2/2 + 1. Give f(p(z)).
2*z**2
Let y(s) = -s**2 + 0*s + 0*s. Let q(a) = -4*a**2. Let c be (2 - 0) + 110/5. Let n(m) = c*y(m) - 5*q(m). Let i(p) = p. Calculate n(i(f)).
-4*f**2
Suppose 2*c = -c. Let k(b) be the second derivative of 1/3*b**3 + c + 0*b**2 - b. Let z(i) = 2*i**2. Give k(z(g)).
4*g**2
Let j(p) = 816 - 816 - 2*p**2. Let s(d) = d. Let w(r) = 4*r. Let t(x) = 6*s(x) - w(x). Determine j(t(y)).
-8*y**2
Let n(m) = 3*m. Let g(i) = -4*i**2 - 3*i - 3. Let q(r) = -9*r**2 - 7*r - 7. Let t(l) = -14*g(l) + 6*q(l). What is n(t(f))?
6*f**2
Let h(w) = -3*w**2. Let x(g) = -6*g - 6*g + 13*g - 4*g. Determine x(h(z)).
9*z**2
Let q(c) = -c**2. Let m(v) = -27*v**2 - 3*v + 3. Let f(s) = -27*s**2 - 4*s + 4. Let y(t) = 3*f(t) - 4*m(t). What is y(q(d))?
27*d**4
Let n(d) = d. Let i(s) = -163 + 27*s + 163. Give n(i(v)).
27*v
Let g(x) = 2*x. Let t(a) = a - 143. What is t(g(p))?
2*p - 143
Let o(x) = -x - 30. Let j(v) = -10*v**2. Give j(o(i)).
-10*i**2 - 600*i - 9000
Let u be (3 - -1)*(-1)/(-2). Let f(g) = -4 + g**u + 4 + 0. Let a(l) = -7*l. Calculate a(f(b)).
-7*b**2
Let j(u) = 732*u. Let y(m) = -22*m. Give y(j(f)).
-16104*f
Let d(m) be the first derivative of 5*m**2/2 + 2. Let p(o) = o**2. Determine p(d(b)).
25*b**2
Let u(t) = t. Let r(j) = 4*j**2 + 58*j. Calculate u(r(i)).
4*i**2 + 58*i
Suppose 0 = 4*c - 4*s - 16, 4*s + 0*s = -4*c + 8. Let q(v) = -2*v**2 + 6*v**2 - c*v**2. Let y(o) be the third derivative of -o**4/8 + o**2. Determine y(q(m)).
-3*m**2
Suppose 4 + 0 = 2*t. Suppose 2*z = -3*z + 2*l + 10, 2*z = 2*l + 4. Let x(h) = -2*h**2 + 3*h**t - z*h**2. Let j(w) = -2*w**2. Determine j(x(u)).
-2*u**4
Let g(m) = -9*m + 1. Let a(v) = 2*v**2. Give g(a(p)).
-18*p**2 + 1
Let x(s) = -2*s**2. Let y(d) be the second derivative of -d**6/60 - 3*d**3/2 + 2*d. Let i(g) be the second derivative of y(g). Give i(x(b)).
-24*b**4
Let d(i) = -i. Let x = 4 + -2. Let o be 5 + (-3)/(3/x). Let z(b) = 6*b - o*b - b. What is d(z(r))?
-2*r
Let j(f) be the third derivative of f**4/24 - f**2. Let l(z) = -2*z - 7. Let w(p) = -p - 3. Suppose -7 = -2*k - 1. Let m(c) = k*l(c) - 7*w(c). Give j(m(h)).
h
Let i(v) = -2*v + 4. Let q(z) = -1. Let a(p) = -i(p) - 4*q(p). Let x(k) = 10*k**2. Determine a(x(o)).
20*o**2
Let i(y) = -2*y. Let q(h) = -16*h**2. Let p(c) = 152*c**2. Let n(g) = 5*p(g) + 48*q(g). Calculate i(n(t)).
16*t**2
Suppose 5*r = -j + 3, 5*j + 2 = r + 43. Let y(v) = -v - 3*v + j*v - 8*v. Let p(q) = -3*q. Give y(p(g)).
12*g
Let w(a) = -13*a**2 - 1 - 22*a + 22*a. Let b(j) = 2*j**2. Calculate b(w(u)).
338*u**4 + 52*u**2 + 2
Let t(x) = 3*x**2. Let o = -2 + 4. Let b be (-4 + 1 + o)*-2. Let w(d) = 2*d**b + 2 - 2. Determine w(t(i)).
18*i**4
Let x(u) = -2*u. Let i(j) be the first derivative of 18*j**2 - 15. What is i(x(z))?
-72*z
Let f(m) = -2*m**2. Let p(u) = -17*u**2 + 20*u**2 + 27*u**2. Give p(f(v)).
120*v**4
Suppose 0 = -2*m + 6 - 0. Suppose 0 = m*u + 5*b - 14 - 6, -2*u + 3*b = 12. Let k(a) = -4*a + 2*a + u + 0. Let s(v) = v**2. Determine s(k(l)).
4*l**2
Let p(u) = -4*u**2. Let y(f) = 84*f**2. Determine p(y(w)).
-28224*w**4
Let q(i) = 2*i**2. Let f(b) = 4*b**2 - 9*b + b + 8*b. Calculate q(f(c)).
32*c**4
Let i(q) = -324*q**2. Let n(r) = 4*r. Give n(i(l)).
-1296*l**2
Let d = 4 + 32. Let t(p) = -p + 3*p - 36 + d. Let v(g) = -4*g. What is v(t(i))?
-8*i
Let n(k) = k**2. Let z(u) = -2*u - 114. Calculate n(z(h)).
4*h**2 + 456*h + 12996
Let o(f) = f. Let p(i) = i**3 - 6*i**2 - i + 8. Let a be p(6). Suppose 0 = w - 7 - 1. Let m(k) = w - 8 + k**a. Determine o(m(x)).
x**2
Let p(i) = 2*i**2 + 2*i**2 - 5*i**2. Let o(u) be the second derivative of 0*u**2 - 1/6*u**4 + 2*u + 0*u**3 + 0. Determine p(o(w)).
-4*w**4
Let t(a) = -2*a**2. Let x(s) = 130*s. Calculate t(x(u)).
-33800*u**2
Let g(o) = -11*o + 2. Let q(w) = -5*w**2. Determine q(g(x)).
-605*x**2 + 220*x - 20
Let r(j) = 2*j**2. Let p(t) = -8*t - 3. Let x(v) = -209*v - 77. Let k(w) = -77*p(w) + 3*x(w). What is k(r(o))?
-22*o**2
Let h(u) = -4*u**2 - 26*u. Let l(z) = 2*z. Give h(l(g)).
-16*g**2 - 52*g
Let k(b) = -17*b**2. Let v(y) = -3*y**2 + 63. Determine v(k(w)).
-867*w**4 + 63
Let n(f) = -26*f**2. Let v(j) = 68*j**2. Give n(v(w)).
-120224*w**4
Let t(m) = 18*m**2 - 1. Let d(l) = -32*l**2. Calculate t(d(g)).
18432*g**4 - 1
Let t(k) = 24*k**2 + 16. Let b(m) = 2*m**2 + 1. Let s(c) = -16*b(c) + t(c). Let w(v) = 2*v**2. Give w(s(o)).
128*o**4
Let r(a) = 234*a**2. Let z(t) = -17*t**2. Calculate r(z(i)).
67626*i**4
Let u(f) = 11*f. Let z(q) be the first derivative of q**5/60 + 3*q**2 + 6. Let x(k) be the second derivative of z(k). Give x(u(j)).
121*j**2
Let m(g) = 9*g. Let h(a) = 236*a. What is h(m(x))?
2124*x
Let b(v) be the second derivative of v**3/3 + 21*v. Let n be (-22)/(-18) + (-4)/18. Let r(c) = -2*c + n - 1. Give r(b(h)).
-4*h
Let q(j) = 2*j**2 - 11. Let o(t) = -2*t. Calculate q(o(c)).
8*c**2 - 11
Let t(g) be the first derivative of g**2/2 + 1. Let z be 76 + (-2 - (-5 + 1)). Let w(u) = z + 2*u**2 - 78. Determine t(w(h)).
2*h**2
Let o(p) be the second derivative of -p**3/6 - 8*p + 1. Let f(d) = -153*d**2. Give f(o(b)).
-153*b**2
Let m(u) be the second derivative of -u**3/6 - 6*u. Let c(w) = w**2. Determine m(c(p)).
-p**2
Let m(x) = -3*x. Let o(z) = -4*z**2 - 4*z - 4. Let h(y) = 4*y**2 + 5*y + 5. Let p(l) = -4*h(l) - 5*o(l). What is p(m(d))?
36*d**2
Let w(y) = -y. Let t(l) = 372*l. Determine w(t(a)).
-372*a
Let o(i) = -2*i. Let q(t) = t**2 - 22. What is o(q(p))?
-2*p**2 + 44
Let j(c) be the first derivative of 1/3*c**3 - 3 + 0*c**2 + 0*c. Let l(t) = t. What is j(l(p))?
p**2
Let m(a)