 i(n(m))?
4*m**2 - 59
Let y(c) be the first derivative of -5*c**2/2 + 15. Let t(p) = -p**2. What is y(t(g))?
5*g**2
Suppose -5 = -2*m - 1. Let y(t) = 2*t**2 - t**m - 3*t**2. Let w(s) = -s + 8*s - 3*s. What is y(w(j))?
-32*j**2
Let p(z) be the third derivative of z**4/12 - 4*z**2. Suppose 0 = 3*x - 5 - 1. Let l(h) = 0*h - x*h + 6*h - h. Determine l(p(o)).
6*o
Let t(r) be the second derivative of r**3/2 - 5*r. Let n(j) = -j**2. What is n(t(k))?
-9*k**2
Let n(m) = -5*m**2 - 9*m - 101. Let c(g) = g**2 + 2*g + 25. Let w(o) = -9*c(o) - 2*n(o). Let z(p) = 3*p. What is w(z(j))?
9*j**2 - 23
Let t(k) = 2*k**2. Let u(z) = 878*z. Determine u(t(j)).
1756*j**2
Let b(y) = 4*y. Let o(i) = 1367*i - 1367*i + 3*i**2. Calculate b(o(k)).
12*k**2
Suppose 3*c + 5*c - 16 = 0. Let j(v) be the third derivative of 0*v + 0*v**3 + 1/24*v**4 - c*v**2 + 0. Let p(h) = -h**2. Determine p(j(l)).
-l**2
Let s(p) be the first derivative of 3*p**2/2 + 1. Let z(d) be the second derivative of d**4/6 - 2*d. What is s(z(m))?
6*m**2
Let q(x) = -x + 7. Let r(z) = z - 6. Let k(o) = -6*q(o) - 7*r(o). Let a(y) = -y**2. Determine k(a(l)).
l**2
Let r(z) = -z. Let b(l) be the second derivative of 11*l**3/6 + 9*l. Determine b(r(q)).
-11*q
Let b(z) = -z**2. Let y(d) = -19*d + 1. Let q(h) = 1. Let c(v) = q(v) - y(v). Calculate c(b(i)).
-19*i**2
Let r(p) = 2*p. Let j(q) be the second derivative of 0 + 0*q**2 - q - 1/12*q**4 + 0*q**3. What is r(j(v))?
-2*v**2
Let v(b) be the first derivative of 4*b**3 - 2. Let i(l) = l**2. Calculate v(i(z)).
12*z**4
Let g(u) = -423*u**2. Let w(q) = 31*q. Calculate w(g(v)).
-13113*v**2
Let n(u) = 11*u. Let w(l) be the third derivative of l**5/20 - 10*l**2. Determine w(n(g)).
363*g**2
Let h(r) = -4*r. Let k(v) = 9*v. Let i(l) = -13*h(l) - 6*k(l). Let g(o) be the second derivative of 0 - 5/6*o**3 + 0*o**2 - 3*o. Give i(g(c)).
10*c
Let q(i) = -2*i**2. Let y(v) = 49*v - 56*v + 37*v. What is y(q(x))?
-60*x**2
Let f(k) be the third derivative of k**5/60 - k**2. Let q(i) = -11*i. Determine q(f(c)).
-11*c**2
Let t(v) be the third derivative of -v**5/60 - v**2. Let j(z) be the third derivative of 0*z**3 + 1/12*z**4 + 0*z + 3*z**2 + 0. What is j(t(x))?
-2*x**2
Let b(u) = -u. Suppose 2*s = 7*s. Let f(y) = -3*y + y + s*y. Give f(b(h)).
2*h
Let m(a) be the first derivative of -1 + 0*a - 1/2*a**2. Let b(q) = -2*q. Give b(m(d)).
2*d
Let y(w) be the second derivative of -w**4/12 - 28*w + 2. Let z(m) = 16*m. Determine y(z(v)).
-256*v**2
Suppose 2*d - 2*x - 3 = -5, 0 = 5*d + x - 19. Let n(w) = -w + d*w - 5*w. Let t(i) be the second derivative of i**3/6 - 3*i. What is t(n(g))?
-3*g
Let i(m) = -26*m + 18*m + 9*m. Let p(w) = 3*w. Calculate i(p(z)).
3*z
Suppose -6*x + 15 = -x. Let h(m) = -4*m - x*m**2 + 4*m. Let v(j) be the third derivative of j**5/30 + 7*j**2. What is h(v(w))?
-12*w**4
Let m(c) = c**2. Let w(j) = 55*j**2 - 44*j - 44. Let n(x) = 6*x**2 - 5*x - 5. Let i(s) = 44*n(s) - 5*w(s). What is m(i(k))?
121*k**4
Let c(a) = 3*a - 64. Let s(r) = -2*r**2. Determine s(c(p)).
-18*p**2 + 768*p - 8192
Let x be 0*1/(-4)*-1. Let b(l) = 3 + x - 3 - l. Let m(a) = -a**2. Give b(m(k)).
k**2
Let v(a) = a**2. Let x(g) = -15*g**2 - 4*g + 4*g. What is x(v(l))?
-15*l**4
Let p(i) = -2*i**2 - 14*i + 3. Let v(d) = -4*d**2 - 27*d + 7. Let f(q) = -7*p(q) + 3*v(q). Let w(k) = -k**2. Calculate f(w(c)).
2*c**4 - 17*c**2
Let p(t) = 0*t - 6*t + 10*t. Let w(r) = 6*r. Give p(w(o)).
24*o
Let n(j) be the third derivative of j**4/24 + 7*j**2. Let u(l) = -4*l. Determine u(n(s)).
-4*s
Let c(i) = -237*i**2. Let r(n) = -n. What is c(r(b))?
-237*b**2
Let w = -3 - -2. Let g be (-3)/(0 + w) + -1. Let t(m) = -g*m + 0*m + m. Let p(o) = -3*o**2. Calculate p(t(y)).
-3*y**2
Let f(a) = -2*a**2 + a + 1. Let n(c) = c**2 - c - 1. Let q(s) = -2*f(s) - 2*n(s). Let x(h) be the first derivative of 6*h**2 - 1. What is x(q(b))?
24*b**2
Let v(w) = w**2. Let i(g) be the second derivative of g**3 - 3*g. Give i(v(y)).
6*y**2
Let t(o) = 13*o**2 + 6*o**2 - 16*o**2. Let v(g) be the third derivative of g**4/6 + g**2. Determine t(v(b)).
48*b**2
Let s(q) = -42*q**2 - 2. Let n(d) = -32*d**2. Calculate s(n(y)).
-43008*y**4 - 2
Let y(g) = -2*g. Let u(b) = 34*b**2 - b - 4. Calculate y(u(s)).
-68*s**2 + 2*s + 8
Let u = 6 + -2. Suppose -2*v + u*o = 0, 0 = -4*v - 2*o + 6 + 4. Let y(b) = 4*b + 0*b - v*b - 3*b. Let j(w) = w. Calculate j(y(k)).
-k
Let i(q) = -q**2 + 5*q + 8. Let n be i(6). Let m be 4/(-18) + (-20)/(-9). Let w(b) = -b - m + n. Let f(d) = 2*d. Give w(f(k)).
-2*k
Let c(j) = -9*j**2. Let a = -10 + 11. Let l(r) = -1 - 7*r**2 + a + 9*r**2. Determine l(c(y)).
162*y**4
Let c(i) = -10*i**2. Let w(f) = -f**3 - 7*f**2 + 7*f - 5. Let s be w(-8). Let b(u) = 2*u - s + 0 + 3. Give c(b(a)).
-40*a**2
Let k(d) = 6*d. Let y(n) = -43*n. Calculate y(k(q)).
-258*q
Let x(z) = z. Let n(a) be the first derivative of 0*a**3 - 1/6*a**4 - a + 0*a**2 - 3. Let v(p) be the first derivative of n(p). Determine v(x(f)).
-2*f**2
Let a(o) = o. Suppose 3*q + 2*m - 5*m = 3, 0 = 5*q + 4*m - 41. Let n(r) = -q + 5 + r. Determine a(n(w)).
w
Let g(r) = -r**2 - 5*r. Let i(d) = 2*d**2 + 8*d. Let o(x) = -8*g(x) - 5*i(x). Let q(c) = 47*c. What is q(o(h))?
-94*h**2
Let t(x) = -1 + 8*x - 2 + 2*x + 9. Let i(v) = 9*v + 5. Let w(m) = -6*i(m) + 5*t(m). Let b(a) = -a. Determine b(w(d)).
4*d
Let l(b) be the second derivative of -2*b**3/3 - 19*b. Let r(a) = 3*a**2. What is l(r(f))?
-12*f**2
Let n(h) be the first derivative of h**2 + 1. Let t(k) be the third derivative of k**4/24 - 3*k**2. Determine t(n(o)).
2*o
Let v(n) = -5*n**2 - 13*n**2 + 16*n**2. Let j(s) = 7*s. Calculate j(v(q)).
-14*q**2
Let r(q) = -q**2. Let w(v) be the first derivative of 5/3*v**3 + 0*v**2 - 1 + 0*v. Give r(w(f)).
-25*f**4
Let p(u) = 87*u. Let y(q) = 3*q. What is p(y(f))?
261*f
Let g(q) be the third derivative of 13*q**4/24 + 5*q**2. Let o(j) = -2*j. Let d(a) = -2*g(a) - 14*o(a). Let s(h) = 2*h. What is d(s(m))?
4*m
Let x(m) = m. Let w(o) = 46*o**2 - 3*o. Calculate w(x(t)).
46*t**2 - 3*t
Let m(w) = -w**2. Let r(c) = -5*c**2 + 3*c + 3. Let v(f) = 26*f**2 - 16*f - 16. Let t(x) = 16*r(x) + 3*v(x). Give m(t(a)).
-4*a**4
Let r(u) be the second derivative of u**5/60 + u**3 + 7*u. Let w(x) be the second derivative of r(x). Let n(v) = -2*v. Determine w(n(k)).
-4*k
Let j(w) = -2*w**2. Let k(o) = -8*o**2 - 168. Give j(k(t)).
-128*t**4 - 5376*t**2 - 56448
Let a(v) = -5*v**2. Let n(m) = -m + 6*m - 3*m - m. Give n(a(i)).
-5*i**2
Let x(i) = -147*i**2. Let j(y) = 11*y**2. Give j(x(l)).
237699*l**4
Let n(r) be the second derivative of 8*r**3/3 + 2*r. Let b(k) = -2*k. Give b(n(x)).
-32*x
Let h(r) = -35*r + 68*r - r**2 - 33*r. Let d(q) = q - 6. What is d(h(c))?
-c**2 - 6
Let b(h) be the first derivative of -5*h**3/3 - 1. Let f(x) = -3*x + 2*x + x + 2*x**2. Calculate f(b(z)).
50*z**4
Let w(s) = 6*s + 7. Let y(i) = -i - 1. Let u(l) = -5*w(l) - 35*y(l). Let z(d) = 4*d. Give z(u(t)).
20*t
Let s(u) = 2*u. Let o(k) = -2*k**2 - 3. Let v(l) = l**2 + 2. Let t(m) = -4*o(m) - 6*v(m). What is t(s(b))?
8*b**2
Let l(c) = -3 + 0*c + 2 - 4*c + 5. Let b(n) = -n**2. Determine l(b(s)).
4*s**2 + 4
Let z(r) = 17*r**2 - 11*r - 11. Suppose 0 = 4*h + 50 - 6. Let d(j) = -6*j**2 + 4*j + 4. Let k(i) = h*d(i) - 4*z(i). Let u(a) = -5*a. Determine u(k(n)).
10*n**2
Let w(s) = -s**2 - s - 1. Let j(o) = -o - 1. Let c(i) = -j(i) + w(i). Let d(m) = -33*m**2. Calculate d(c(g)).
-33*g**4
Let t(d) = -3*d - 5*d + 9*d. Let v(o) = -5*o**2. Give t(v(l)).
-5*l**2
Let f(l) = l - 3. Let u be 4/2 + (-4)/(-2). Let j be f(u). Let k(m) = -j - m + 0*m + 1. Let w(v) = -v**2. Determine k(w(t)).
t**2
Let b(z) = 82*z. Let o(w) = 71*w. What is b(o(v))?
5822*v
Let x(h) = -2*h**2. Let v(p) = -13*p + 19*p - 24*p. Give v(x(y)).
36*y**2
Let j(t) = t**2. Let y(o) = 2. Let m(u) = -7*u + 2. Let f(c) = -m(c) + y(c). Calculate f(j(z)).
7*z**2
Let o(g) = 1379 - 4*g**2 - 1379. Let y(r) be the third derivative of r**4/12 - 2*r**2. Give y(o(f)).
-8*f**2
Let k(u) = -817*u. Let y(n) = -4*n**2. What is k(y(r))?
3268*r**2
Let g(u) = -16*u**2 + 11. Let f(d) = -3*d**2 + 2. Let s(t) = 22*f(t) - 4*g(t). Let p(o) = 2*o - 26. Give p(s(n)).
-4*n**2 - 26
Let g(w) = -w**2. Let h(p) = 15*p**2 + 3*p. Let v(y) = -164*y**2 - 32*y. Let o(s) = 32*h(s) + 3*v(s). Determine o(g(n)).
-12*n**4
Let y(o) = o**2. Let m(w) = 8