
12*p**2
Let l(t) = -27*t**2 - 1. Let c(v) = -21 + 21 + 2*v**2. Give l(c(o)).
-108*o**4 - 1
Let t(y) = y - 2. Let o(a) = 17 + 2*a - 9*a - 2*a. Let f(i) = -6*o(i) - 51*t(i). Let p(c) be the first derivative of -c**2 + 2. Calculate p(f(k)).
-6*k
Let i(x) be the second derivative of 0*x**2 - 2*x + 1/3*x**3 + 0. Let a(r) = 4*r**2 - 2*r**2 - 4*r**2. Determine a(i(h)).
-8*h**2
Suppose -4*c = 2*c. Let w(v) be the second derivative of 0 + 1/12*v**4 + 2*v + c*v**2 + 0*v**3. Let r(l) = -2*l**2. What is w(r(a))?
4*a**4
Suppose 3*v - 47 = -t - 17, 0 = 2*t - 2*v - 92. Let u(y) = -42*y - 2*y**2 + t*y - 2*y**2. Let h(z) be the second derivative of z**3/6 + 2*z. Give h(u(o)).
-4*o**2
Let g(k) be the second derivative of -k**4/12 + k. Let o(q) = 3*q + 1. Let j(d) = d - 1. Let m(i) = -2*j(i) - 2*o(i). What is g(m(y))?
-64*y**2
Let t(o) = -4*o**2 + 2*o**2 + 0*o**2. Let p(y) be the second derivative of -y + 0*y**3 - 1/4*y**4 + 0 + 0*y**2. What is t(p(u))?
-18*u**4
Let k(h) = -7 + 2*h + 16 - 9. Let q(s) be the first derivative of 2*s**3/3 + 1. Determine q(k(v)).
8*v**2
Let s be (-24)/(-18)*(-6)/(-4). Let d(m) = -3*m**2 - 2*m**2 + 2*m**s. Let i(t) = -2*t. Give d(i(v)).
-12*v**2
Let z(m) = -3*m**2. Let f(a) = -56*a - 7. Calculate f(z(k)).
168*k**2 - 7
Let l(j) = -j + 52. Let h(s) = 2*s**2. Give l(h(k)).
-2*k**2 + 52
Suppose -3*o = -3*n - 9, 5*n - 2 = -3*o + 23. Let s(x) = -2*x**2 + 2*x**n - x**2. Let w(c) be the first derivative of c**3/3 + 2. Calculate w(s(r)).
r**4
Let c(q) = 10*q**2 + 0*q**2 + 6*q**2. Let y(z) = -z**2. What is c(y(j))?
16*j**4
Let s(y) = 38*y. Let b(m) = 15*m. Give b(s(n)).
570*n
Suppose -h + 24 = h. Suppose b + 2*b = h. Let a(z) = -2 - 2 + b - z**2. Let v(x) = -x. Give a(v(o)).
-o**2
Let o(b) = -33*b - 5. Let g(d) = 49*d + 8. Let l(p) = 5*g(p) + 8*o(p). Let q(h) = -h**2. Calculate q(l(z)).
-361*z**2
Let a(d) be the second derivative of 5*d**4/4 + 34*d. Let w(k) = -2*k**2. Calculate a(w(c)).
60*c**4
Let k(x) = -x**2. Let y(b) = 81*b. Calculate y(k(m)).
-81*m**2
Let d(k) be the second derivative of 1/6*k**4 - 2*k + 0*k**3 + 0*k**2 + 0. Let c(f) = -2*f + 6*f - 3*f. Calculate d(c(y)).
2*y**2
Let b(t) = -178*t**2 + 1. Let o(w) = -2*w. Calculate b(o(x)).
-712*x**2 + 1
Let a(g) = -g. Let t(z) = -21*z**2. Give a(t(d)).
21*d**2
Let i(z) = 73*z - 2. Let u(v) = 20*v. What is i(u(n))?
1460*n - 2
Let p(f) = -7*f. Let m(r) be the second derivative of -r**3/3 - 8*r. Calculate p(m(x)).
14*x
Let p(m) = -2*m. Suppose -4 = 3*f - 28. Suppose -d - d + f = 0. Let w(s) = -3 + d*s + 3. Give p(w(o)).
-8*o
Let g(q) = 7*q - q - 1 + 1. Let d(y) be the first derivative of -y**4/6 - y + 4. Let o(v) be the first derivative of d(v). Determine o(g(w)).
-72*w**2
Let h(m) = m**2 + 4. Let d(f) = -1. Let p(z) = -4*d(z) - h(z). Let t(k) = 8*k. What is t(p(v))?
-8*v**2
Let y(t) = 6*t**2 - 9*t**2 + 0 + 0. Let v(r) = -3*r. Determine y(v(b)).
-27*b**2
Let g(j) be the third derivative of 0*j**4 + 1/30*j**5 + 0*j**3 + 0*j - 4*j**2 + 0. Let k(q) = -q. What is k(g(u))?
-2*u**2
Let n(v) be the first derivative of 3*v**2 + 2. Let r(m) = 18*m - 18*m + m**2. Calculate n(r(q)).
6*q**2
Let t(b) = 0*b + 2*b - 3*b. Let u(o) be the second derivative of -o**4/12 + o. Calculate t(u(p)).
p**2
Let r(l) = l**4 + 6*l**3 - 6. Let z(s) = s**3 - s - 1. Let d(j) = -r(j) + 6*z(j). Let q(g) be the second derivative of d(g). Let y(h) = h. Determine y(q(t)).
-12*t**2
Let h(q) = 83*q - 1. Let i(a) = 6*a**2. Determine h(i(m)).
498*m**2 - 1
Let j(p) = 2*p**2 + 3*p + 3. Let g(u) = u**2 + 2*u + 2. Let n(h) = -3*g(h) + 2*j(h). Let r(d) = -4*d. Calculate n(r(c)).
16*c**2
Let m(i) = -3*i. Let c(l) = -87*l**2 - 2. Determine c(m(k)).
-783*k**2 - 2
Let c(a) = -31*a**2 + 5*a. Let u(q) be the third derivative of q**5/4 - q**4/12 + q**2. Let m(j) = 2*c(j) + 5*u(j). Let p(s) = -s. Give m(p(n)).
13*n**2
Let x(z) = 2*z**2. Let m(k) = 4*k - 2*k - 4*k. What is m(x(f))?
-4*f**2
Let d(j) = 45 - 83 - 4*j**2 + 38. Let p(i) = -3*i - 2*i + 8*i. Give p(d(g)).
-12*g**2
Let f(g) = -3*g**2. Let l(h) = -12*h + 2. Give l(f(j)).
36*j**2 + 2
Let q(a) = 7*a**2 - 3. Let w(p) = -16*p**2. What is q(w(o))?
1792*o**4 - 3
Let f(r) be the second derivative of r**4/6 + r. Suppose 7*q - 5*q - 4 = 0. Let b(n) = 5 - 2*n**q - 5 + 0. Determine f(b(v)).
8*v**4
Let x(h) = 6*h. Let n(b) = 8*b. Give x(n(y)).
48*y
Let d(z) = -z. Suppose 0*f + 4*f = 8. Let p(s) = 13*s - s**f - 13*s. What is p(d(o))?
-o**2
Let h(z) = 3*z. Let o(j) = -35 + 35 - 6*j**2. Determine o(h(d)).
-54*d**2
Suppose -5*z = -201 - 4. Suppose 0 = -5*a - 6 + z. Let f(m) = -a*m + 4*m + m. Let t(g) = -g. Determine f(t(r)).
2*r
Let m(i) = 4*i - 2. Let n(p) = -2*p. Give n(m(r)).
-8*r + 4
Let w(h) = 2*h**2. Let q = 23 - 14. Let j(b) = b**2 - 9*b + 2. Let t be j(q). Let c(a) = -a**t + 3 - 3. Give c(w(s)).
-4*s**4
Let c = -17 - -19. Let z(x) = -118*x + 118*x - x**c. Let a(h) = -3*h**2. Calculate a(z(g)).
-3*g**4
Let h(t) = 3*t - 57. Let r(u) = 2*u. Calculate r(h(i)).
6*i - 114
Let h(z) = -z**2. Suppose -4*f + 24 = -0*p + p, 5*f - 13 = 3*p. Suppose -t + 31 = -f*y, -3*t - 1 = 3*y - 4. Let i(r) = -3*r - r + t*r. Determine h(i(o)).
-4*o**2
Let o(w) = 5*w + 15. Let j(z) = -z - 4. Let h = -9 - -84. Suppose -h = -d - 4*d. Let y(x) = d*j(x) + 4*o(x). Let v(l) = -l. Determine y(v(i)).
-5*i
Let r(s) be the third derivative of s**4/24 + s**2. Let x(p) = -p - 3. Suppose -5 = -2*u + 3. Let v(b) = 2*b + 4. Let d(c) = u*x(c) + 3*v(c). Give r(d(a)).
2*a
Let m(i) = -i**2. Let o(f) = -3*f**2 - f. Give m(o(v)).
-9*v**4 - 6*v**3 - v**2
Suppose -2*h + 2 = -h. Let i(w) = -h*w + 2*w - 3*w. Let o(a) = -3*a**2 + 2*a + 2. Let r(m) = 7*m**2 - 5*m - 5. Let d(k) = 5*o(k) + 2*r(k). Give i(d(p)).
3*p**2
Let j(f) = 8*f**2. Let b(c) = -147*c**2. Determine b(j(g)).
-9408*g**4
Let h(d) = 285*d. Let p(a) = 3*a. What is h(p(o))?
855*o
Let i(y) = -y**2. Suppose -b - b - 2*l + 4 = 0, -b = -2*l - 8. Let t(v) = b*v - 4*v - 7*v + 5*v. Calculate t(i(r)).
2*r**2
Let r(x) be the first derivative of 0*x + 4 + 0*x**2 + 2/3*x**3. Let q(w) = 5*w**2. Give q(r(g)).
20*g**4
Let u(h) = -53*h**2 - 2. Let l(r) = -r**2. Give u(l(s)).
-53*s**4 - 2
Let q(t) = -t**2 + 14*t + 5. Let o(u) = u**2 - 15*u - 4. Let j(r) = -5*o(r) - 4*q(r). Let z(n) = n. Calculate z(j(w)).
-w**2 + 19*w
Let c = 10 - 7. Let a(x) = c*x - 3*x - 3*x. Let y(i) = 3*i + 2*i - 3*i + 0*i. Calculate y(a(u)).
-6*u
Let g(t) = 2*t. Let h(i) = -356*i. Give h(g(r)).
-712*r
Let h(j) = -2*j**2. Let g = 5 - 2. Let v be g - (-2 + 3 + 0). Let y(l) = -v + 5*l**2 + 2. What is y(h(d))?
20*d**4
Let z(r) = 13*r**2. Let s(o) = 6*o - 11. Calculate s(z(q)).
78*q**2 - 11
Let i(r) = -5*r + 4*r + 2 - 2. Let v(d) be the first derivative of 2*d**3 - 7. Give i(v(m)).
-6*m**2
Let m(z) = 3*z. Let k(o) = -88*o + 111*o - 3 + 3. Give k(m(n)).
69*n
Let a(r) = 508*r**2. Let h(k) = 2*k**2. Calculate a(h(q)).
2032*q**4
Suppose -v - 2*v - 4 = 4*d, -4*v - 20 = -2*d. Let l(o) = 5*o - d*o - o. Let a(s) = 5*s. Give l(a(m)).
10*m
Let w(a) = -3*a + 2*a + 2*a. Let s(g) = -16*g + 27*g + 0 + 0. Calculate w(s(o)).
11*o
Let b(d) = -6*d**2. Let z(g) = -4*g - 2. Calculate z(b(j)).
24*j**2 - 2
Let q(w) = w**2. Let v(p) = -10*p + 3. Let x(n) = 21*n - 7. Let d(y) = -14*v(y) - 6*x(y). Let t(b) = -b. Let c(i) = -2*d(i) - 42*t(i). Determine c(q(f)).
14*f**2
Let a(n) = -2*n**2. Let v = -12 + 12. Let t(y) be the third derivative of y**2 - 1/30*y**5 + 0*y**3 + 0*y + 0*y**4 + v. Determine t(a(q)).
-8*q**4
Let o(g) = 3*g**2. Let r(k) be the second derivative of 0 + k + 1/3*k**3 + 0*k**2. Determine o(r(t)).
12*t**2
Let i(t) = -1080*t. Let c(r) = 5*r. Give i(c(s)).
-5400*s
Let g(s) = -s - 80 + 80 - s. Suppose 0 = 3*i - 0*i. Let m(v) = i + 0 - 6*v**2. What is m(g(a))?
-24*a**2
Let j(o) = -108 + 108 + 7*o. Let i(w) = w**2. Determine i(j(m)).
49*m**2
Let h(y) = -y**2. Let g(q) = 1578*q. Determine h(g(u)).
-2490084*u**2
Let c(u) = -77*u**2. Let l(i) = i**2. Calculate c(l(o)).
-77*o**4
Let p be (2/4)/((-2)/(-8)). Let d(q) be the first derivative of 0*q - p + 0*q**2 + 1/3*q**3. Let l(u) = 3*u**2. Calculate d(l(r)).
9*r**4
Let v(n) = 2*n**2. Let u(p) be the second derivative of p**4/12 - 2*p. Give v(u(x)).
2*x**4
Let o(b) = b. Let z(a) = -7*a - 28. Let q(w) = 8*w + 27. Let m(r) = -5*q(r) - 6*z(r). Determine m(o(v)).
2*v + 33
Let l(p) = -3*p**2. Let w(f) = 10