*p - 19
Let d(q) = q**2 - 3*q**2 - 2*q**2 + 3*q**2. Let a(v) = v + 9. Let c be a(-7). Let j(x) = -4*x**2 + 0*x**c - 2*x**2 + 3*x**2. Determine j(d(g)).
-3*g**4
Let m(c) be the second derivative of 0*c**3 + 1/2*c**4 + 3*c + 0 + 0*c**2. Let k(t) = 3*t**2. Give m(k(h)).
54*h**4
Let t(l) be the second derivative of l**4/4 + 35*l. Let m(v) = -20*v. What is m(t(b))?
-60*b**2
Let p(u) = 19*u. Let c(w) = 1011*w**2. Determine c(p(r)).
364971*r**2
Let i(v) = 4*v. Let a(b) = 40*b. Determine a(i(m)).
160*m
Let k(x) = -9*x**2. Let p(u) = u. Calculate p(k(o)).
-9*o**2
Let z(t) = 9*t. Let w(q) = -42*q. What is w(z(n))?
-378*n
Let u(d) = -d**2. Let l(j) = -3*j - 100. What is u(l(x))?
-9*x**2 - 600*x - 10000
Let k(c) = 10*c**2. Let j(x) = 18*x - 8. Give k(j(r)).
3240*r**2 - 2880*r + 640
Let o(r) = 2*r**2. Suppose p - a - 3 - 4 = 0, -3*p - 5*a - 19 = 0. Let n(g) = 2 + 9*g - 20*g - p. What is n(o(t))?
-22*t**2
Let v(g) = 5*g. Let k = -4 + 6. Let p(q) = 1 + 2*q**2 + k - 3. What is v(p(l))?
10*l**2
Let o(x) = -5*x**2 + 17*x**2 - 8*x**2 - 9*x**2. Let j(b) = 3*b. Calculate j(o(w)).
-15*w**2
Let z(a) = -2*a**2. Let r(d) = 14*d - 6 + 8 - 2. Give r(z(y)).
-28*y**2
Let a(v) be the second derivative of -5*v**3/2 - v. Let c(f) = f. Give a(c(y)).
-15*y
Let g(o) be the first derivative of o**2 - 11. Let h(r) = 15*r. What is h(g(x))?
30*x
Let z(y) = 5*y. Let h(q) = -40*q. Give h(z(x)).
-200*x
Let a(o) = 63*o - 2. Let p(i) = -i**2. Determine a(p(q)).
-63*q**2 - 2
Let x be (-2)/3*(-12)/4. Let k(s) = -x*s + 0*s - 2*s. Let u(i) = 3*i. Let t(r) = -2*r. Let v(l) = 4*t(l) + 3*u(l). Determine k(v(w)).
-4*w
Let o(z) = 14*z. Let u(s) = -s. What is o(u(k))?
-14*k
Let t(l) = -l**2 - l - 1. Let b(z) be the first derivative of 2*z**3/3 + z**2/2 + z - 1. Let x(u) = 2*b(u) + 2*t(u). Let v(i) = 2*i**2. Give x(v(p)).
8*p**4
Let t(b) be the first derivative of -b**3/3 + 1. Suppose 0 = 6*o - o - 4*d + 20, 10 = 3*o + 2*d. Let l(s) = 3*s**2 + o*s**2 - 11*s**2. What is t(l(j))?
-64*j**4
Let t(s) = 6*s - 1. Let a(f) be the third derivative of f**4/24 - 31*f**2. What is t(a(o))?
6*o - 1
Let s(u) be the first derivative of -2*u**3 - 1. Let i(c) = 2*c**2. Calculate i(s(h)).
72*h**4
Let w(t) = 35*t**2. Let b(i) = -13*i - 1. Give w(b(f)).
5915*f**2 + 910*f + 35
Let o(u) = 8*u. Let d(q) = 21 + q + 0*q - 21. What is o(d(r))?
8*r
Let v(q) = -4*q**2. Let p(d) be the first derivative of d**3/3 + 2*d - 5. Let h(b) be the first derivative of p(b). What is h(v(k))?
-8*k**2
Let l(g) be the second derivative of g**3/6 - g. Let h(q) = -2*q. Give l(h(i)).
-2*i
Let s(q) = 22*q**2. Let y(g) = 4*g**2 + 2*g + 2. Let h(t) = -5*t**2 - 3*t - 3. Let n(c) = -2*h(c) - 3*y(c). Give n(s(i)).
-968*i**4
Let b(r) = -r**2. Let a(p) = -84*p. Calculate a(b(y)).
84*y**2
Let d(p) = 9*p**2 - 7. Let f(g) = 4*g**2 - 3. Let w(j) = 6*d(j) - 14*f(j). Let v(o) = -2*o**2 + 9*o. What is w(v(c))?
-8*c**4 + 72*c**3 - 162*c**2
Suppose 3*m = -m - 5*k - 3, m - 5*k - 18 = 0. Suppose 20 = -2*g + 4*u, 11 + 9 = -4*g + 4*u. Let s(h) = -m*h - h + 3*h + g*h. Let v(b) = 6*b**2. What is s(v(i))?
-6*i**2
Let d(b) = -3*b**2. Let h = 1 - -6. Let v(c) = -h*c**2 - c + c + 5*c**2. Calculate v(d(g)).
-18*g**4
Let f(l) be the second derivative of -l**3/6 - 13*l. Let d(q) = 42*q. Give d(f(j)).
-42*j
Let m(q) = 168*q. Let r(f) = 5*f. Give m(r(t)).
840*t
Let j(f) = 2*f**2. Let l(v) = 9 - 2 - 8*v - 3. What is l(j(x))?
-16*x**2 + 4
Let x(a) = -2*a. Let w be (24/(-80))/((-12)/10). Let h(r) be the second derivative of r + 0*r**2 + 0*r**3 + 0 - w*r**4. Determine x(h(f)).
6*f**2
Let k(t) = -2*t**2. Let u(z) = 28*z - 4*z**2 - 28*z + 2*z**2. What is u(k(i))?
-8*i**4
Let p(w) = w**2 - 498. Let a(v) = v. Calculate a(p(m)).
m**2 - 498
Let b(z) = 31*z. Let h(w) = -7*w**2. What is h(b(q))?
-6727*q**2
Let s(r) = -25*r. Let p(z) = 7*z**2. What is p(s(t))?
4375*t**2
Let a(s) = 4*s**2. Let n(w) be the first derivative of -w**5/40 + w**3 - 6. Let t(o) be the third derivative of n(o). What is t(a(z))?
-12*z**2
Let u(w) be the first derivative of w**3/2 + 2*w + 1. Let p(x) be the first derivative of u(x). Let l(i) = i**2. Determine l(p(t)).
9*t**2
Let v(z) = 5 - 30*z + 28*z - 5. Let w(u) = 0*u**2 + u**2 - 3*u**2. Give v(w(b)).
4*b**2
Let f(z) = -z. Let n(p) = -2*p**2. Let x = -5 + 6. Let g(q) = 3*q**2. Let v(a) = x*g(a) + 3*n(a). Calculate f(v(w)).
3*w**2
Let t(m) = 6*m - 1 + 1. Let n(r) = -48 - 57 - r - 49 + 154. What is n(t(o))?
-6*o
Let p(y) = -5*y. Let o(c) = 25*c**2. What is p(o(w))?
-125*w**2
Suppose 4*r = -4*i, -3*r = r + i. Let h(u) be the second derivative of -u + r*u**3 + 0*u**2 + 0 + 1/12*u**4. Let v(t) = -t. Determine h(v(g)).
g**2
Let n(r) = -2*r. Let z(c) = -2*c. Let k(f) = 6*f. Let m(a) = 6*k(a) + 17*z(a). What is m(n(t))?
-4*t
Let j(i) = -53*i. Let g(b) = b**2. Calculate j(g(a)).
-53*a**2
Let j(m) = -m. Let g(s) = 3*s**2 + 272*s. Calculate j(g(k)).
-3*k**2 - 272*k
Let n(m) = 5 + 0 - 5 - 23*m**2. Let i(v) = 2*v**2. Give n(i(a)).
-92*a**4
Let p(b) = 9*b. Let j(z) = 4*z. Let r(d) = 5*j(d) - 2*p(d). Let a(s) = -3*s**2. Calculate r(a(c)).
-6*c**2
Let h(u) = 21*u**2 - u. Let j(m) = -85*m. Determine j(h(c)).
-1785*c**2 + 85*c
Let u(d) = d - 6. Let y(v) = -v + 1. Let w(c) = u(c) + 6*y(c). Let s(i) = i**2 + 0*i + 0*i. Calculate w(s(h)).
-5*h**2
Let z(u) = -6 + 3 + 3*u + 3. Let t(p) = -p. Give z(t(s)).
-3*s
Let a(y) = -752 - 4*y**2 + 752. Let c(t) = -4*t**2. Calculate a(c(w)).
-64*w**4
Let l(k) = -4*k. Let d(p) be the second derivative of -p**4/12 + 8*p. Determine d(l(f)).
-16*f**2
Let d(b) = b. Let h(z) = z**2 + 4*z - 7. Let i be h(-6). Let j(q) = -6*q**2 - 10*q**2 + i*q**2. Give d(j(r)).
-11*r**2
Let m(s) be the second derivative of -4*s**4/3 + s. Let p(t) = t. What is m(p(o))?
-16*o**2
Let q(w) be the third derivative of 2*w**5/15 + 10*w**2. Let o(t) = -2*t**2. Determine o(q(r)).
-128*r**4
Let r(l) be the second derivative of l**4/12 - 4*l. Suppose 3*d - 2*d = -5*o + 25, d = 2*o - 10. Let x(f) = d*f + 6*f + 0*f. Calculate r(x(q)).
36*q**2
Let d(g) = g**2 + 2. Let k(l) = 9*l + 12. Let p(m) = -m**2 + m - 1. Let o(a) = k(a) - 9*p(a). Let w(c) = -21*d(c) + 2*o(c). Let b(x) = -x. Give b(w(t)).
3*t**2
Let r(c) = 20*c**2. Let y(q) = 13*q**2 - 25*q**2 + 11*q**2. Calculate y(r(l)).
-400*l**4
Let a(v) = 105*v**2 - 5. Let o(n) = -12*n. What is o(a(m))?
-1260*m**2 + 60
Let u(w) = 18*w - 7. Let f(a) = 7*a. Determine f(u(c)).
126*c - 49
Let h(y) = -y + 5*y - 2*y. Suppose -2*f = -4*f + 10. Let w(o) = 0*o**2 + f*o**2 + 2*o**2 - 9*o**2. Give w(h(n)).
-8*n**2
Let w(l) = 2*l**2. Let a(h) = -h - 4. Let c(q) = -q - 3. Let d be (-6)/(-3) - (-3 + 8). Let k(u) = d*a(u) + 4*c(u). Calculate k(w(n)).
-2*n**2
Let u = 1 + 3. Suppose -2*k + 7 = 4*j - k, -2*j + 3 = k. Let w(b) = -u*b**j - 2*b**2 + 8 - 8. Let y(p) = p. Determine y(w(o)).
-6*o**2
Let m(g) be the third derivative of -g**4/12 + 2*g**2. Suppose 4*y - 6 = 14. Let d(p) = p - 2*p + 8*p - y*p. Give m(d(o)).
-4*o
Let x(z) = z**2. Let m be 3/(-7) - 640/140. Let c(q) = 5*q - 5. Let j(o) = -2*o + 3. Let r(i) = m*j(i) - 3*c(i). Give r(x(v)).
-5*v**2
Let b(o) = 133*o - 133*o - 16*o**2. Let v(w) = 2*w**2. Calculate b(v(l)).
-64*l**4
Let y(p) = -p**2. Suppose 0 = -2*g + 13 - 5. Let z = 6 - g. Let o(s) = s + z*s - s. Determine o(y(k)).
-2*k**2
Let i(x) = -x. Let n(j) = 2822*j**2. Calculate i(n(f)).
-2822*f**2
Let x(g) = -g - 6. Let z(d) = d + 5. Let a(t) = -5*x(t) - 6*z(t). Let b(s) = -2*s. Calculate a(b(f)).
2*f
Let j(k) = -13*k. Let m(w) = 11*w + 5*w - 12*w. Calculate m(j(r)).
-52*r
Let g(h) = 2*h. Let s be 5 - (6/(-3))/1. Let i(w) = 0 - s*w + 8*w + 0. Calculate i(g(j)).
2*j
Let z(k) = 2*k**2 + 14*k - 14. Let d(v) = -v + 1. Let h(l) = -28*d(l) - 2*z(l). Let g(a) = -2*a. What is g(h(q))?
8*q**2
Let i(w) = 2*w. Suppose 0*o + 6 = 2*o. Let k(u) = -3 - 5*u + o + 3*u. Give i(k(g)).
-4*g
Let f(u) = 24*u. Let k(i) = 6*i. What is f(k(t))?
144*t
Let u(m) = -2*m**2. Suppose 4*t - 5 - 5 = k, -3*t + 19 = 5*k. Let w = 0 + 2. Let i(n) = w*n**2 - 2 + k. Give i(u(v)).
8*v**4
Let c(s) = -14*s. Let m(q) = 3*q**2 + 28 - 56 + 28. Give c(m(f)).
-42*f**2
Let f(w) = -55*w**2. Let i(j) = -4*j**2. Calculate f(i(b)).
-880*b**4
Let j(t) = -3385*t. Let g(f) = -2*f. Give g(j(l)).
6770*l
Let a(c) = -c**2 - 132*c. Let i(r) = 5*r - 3. Let h(z) = -26*z + 16. Let x(j) = -3*h(j) - 16*i(j)