o**2
Let c(j) = -2*j**2. Let w(l) be the first derivative of l**4/12 - l**2/2 - 2. Let o(b) be the second derivative of w(b). What is o(c(q))?
-4*q**2
Let b(f) = -f**3 - 5*f**2 - 5*f - 2. Let k be b(-4). Let j(r) = 2*r. Let p(a) = a**2 - a. Let d(i) = k*p(i) + j(i). Let y(n) = n**2. Give d(y(l)).
2*l**4
Let i(g) = 2*g**2. Let y(u) be the first derivative of 3*u**3 - 5. Give y(i(c)).
36*c**4
Let j(q) = -6*q. Let s(x) = -5*x + 0*x + 6*x. What is s(j(b))?
-6*b
Let o(y) = 13*y. Let f(w) = 293*w + w**2 - 293*w. Calculate f(o(x)).
169*x**2
Let j(s) = 2*s**2. Let g(w) be the third derivative of -w**4/24 + w**2. What is g(j(p))?
-2*p**2
Let l(g) be the second derivative of -g**6/360 + 4*g**3/3 - 7*g. Let w(s) be the second derivative of l(s). Let f(t) = -t**2. What is w(f(n))?
-n**4
Let q(t) = 6*t. Let s(g) = -g - 1. Let l(x) = 7*x + 6. Let i(m) = l(m) + 6*s(m). Calculate i(q(f)).
6*f
Let i(r) = 2*r. Suppose 0 = -2*j - 6, -2*j - 70 = -5*q + 3*j. Let z(d) = -d. Let w(m) = q*z(m) + 6*i(m). Let y(v) = -3*v**2. Calculate y(w(t)).
-3*t**2
Let f(z) = -5*z**2. Let a(b) = -2*b + 12*b - 6*b - 5*b. Determine a(f(j)).
5*j**2
Let g(f) be the first derivative of 0*f**2 + 2 + 0*f + 7/3*f**3. Let j(n) = n**2. Calculate g(j(o)).
7*o**4
Let q(l) be the third derivative of 0*l**3 + 3*l**2 - 1/12*l**4 + 0*l + 0. Let m(j) = 4*j. Determine q(m(a)).
-8*a
Let h(s) = 3*s. Let t(r) be the third derivative of -r**7/5040 - r**5/15 + 7*r**2. Let w(m) be the third derivative of t(m). Give h(w(c)).
-3*c
Let f(z) = -z**2. Let a(r) = -8*r**2 + 4*r + 4. Let v(w) = -7*w**2 + 3*w + 3. Let p(i) = -3*a(i) + 4*v(i). What is f(p(n))?
-16*n**4
Let t(d) = 5*d. Let m(y) = -138*y. What is t(m(n))?
-690*n
Let x(c) be the third derivative of c**4/8 - 3*c**2. Let a(p) = -p**2 - 2*p - 2. Let j(w) = 4*w**2 + 7*w + 7. Let m(i) = -7*a(i) - 2*j(i). Give x(m(s)).
-3*s**2
Let t(k) = -k. Let g(y) = -1. Suppose q - 1 = -0*q + 5*w, 0 = -3*w - 3. Let c(f) = -f + 4. Let l(b) = q*g(b) - c(b). Determine t(l(s)).
-s
Let p(j) = -16*j + 2*j + 0*j. Let n(w) = -5*w**2 + 6*w + 6. Let y(d) = 4*d**2 - 5*d - 5. Let z(x) = -5*n(x) - 6*y(x). What is z(p(b))?
196*b**2
Let k(u) = u**2. Let w(r) = 32*r - 70. What is w(k(q))?
32*q**2 - 70
Let j(h) = -2*h. Let p(d) = d**2 + 11*d + 2. Let u(t) = t - 1. Let z(k) = -p(k) - 2*u(k). Determine j(z(y)).
2*y**2 + 26*y
Let z(f) be the third derivative of -f**4/8 + f**2. Let y(p) = 0*p**2 + 0*p**2 - 2*p**2. What is z(y(d))?
6*d**2
Let z(b) = 3*b. Let k(d) = -9*d - 197 + 197. Determine z(k(n)).
-27*n
Let i(f) = -f - 1. Let v(s) = 6*s + 5. Let b(p) = 10*i(p) + 2*v(p). Let d(l) be the second derivative of 3*l + 0*l**2 - 5/6*l**3 + 0. Give d(b(z)).
-10*z
Let m(p) be the third derivative of -p**5/30 - 2*p**2. Let n(k) = -2*k**2. Determine m(n(j)).
-8*j**4
Let b(k) be the first derivative of -2*k**2 + 2. Let n(i) = 4*i**2. Determine n(b(m)).
64*m**2
Let a(k) = -4*k. Let r(x) = 9*x. Calculate r(a(n)).
-36*n
Let u(p) = 351 + p - 351 + p. Let g(r) = 10*r. Give u(g(n)).
20*n
Let a(f) = -5*f**2. Let c = -67 - -67. Let j(x) be the third derivative of 0*x**3 + 0 + x**2 + c*x + 1/24*x**4. Give a(j(p)).
-5*p**2
Let k(y) = y. Let b = 78 + -111. Let o(f) = 5*f. Let q(g) = b*k(g) + 6*o(g). Let r(n) = -3*n**2 - 3*n**2 + 4*n**2. What is r(q(x))?
-18*x**2
Let m(b) be the first derivative of -11*b**3 + 28. Let x(f) = -f**2. Determine x(m(r)).
-1089*r**4
Let n(q) = -8*q. Let r(u) be the first derivative of 2*u**3/3 - 11. Determine n(r(v)).
-16*v**2
Let f(h) = 62*h**2. Let v(z) = z + 33. Determine v(f(r)).
62*r**2 + 33
Let q(w) = -2*w. Let n(k) = 470*k + 2. Calculate q(n(r)).
-940*r - 4
Let r(q) be the third derivative of -5*q**4/24 - 8*q**2. Let x(k) be the first derivative of -k**2 - 2. Give x(r(y)).
10*y
Let p(i) = 21*i - 15. Let x(k) = 3*k - 2. Let d(t) = -2*p(t) + 15*x(t). Let q(v) = 1. Let l(j) = -2*j**2 - 3. Let m(o) = -l(o) - 3*q(o). Give m(d(a)).
18*a**2
Let l(k) = 2*k - 22*k**2 + 23*k**2 - 2*k. Let g(t) be the second derivative of -t**3/3 - t. Give g(l(a)).
-2*a**2
Let t(r) = 3*r**2. Let n(w) = 2*w**2 - 3*w. Let v(u) = -18*u**2 + 26*u. Let g(b) = -52*n(b) - 6*v(b). Calculate t(g(i)).
48*i**4
Let o = 10 - 9. Let w(u) = 0*u**2 + 1 - o + 4*u**2. Let f(s) = -s - 1. Let m(k) = 2*k + 3. Let j(y) = 3*f(y) + m(y). What is w(j(q))?
4*q**2
Let s(g) = 2*g. Let m(q) = 2*q**2 + 156*q. Calculate s(m(b)).
4*b**2 + 312*b
Let z(p) = -3*p**2. Let w(q) be the first derivative of -q**3 - 1 + 0*q**3 - 4. Determine z(w(c)).
-27*c**4
Suppose 0*o - 10 = -2*o. Let v(d) = -d**2 + 2. Let s be v(0). Let q(l) = s*l - 5*l + o*l. Let k(p) = -2*p**2. Determine q(k(w)).
-4*w**2
Let c(p) = 50*p. Let v(z) be the second derivative of z**4/6 - 31*z. What is v(c(r))?
5000*r**2
Let l(t) = -156*t + 1. Let g(p) = 4*p. Determine l(g(i)).
-624*i + 1
Let a(u) = 2*u. Let j(l) = 11*l - 2. Let n(c) = 1. Let q(z) = j(z) + 2*n(z). Give a(q(b)).
22*b
Let b(j) = 2*j - 2*j - j. Let a(m) be the third derivative of -m**4/12 - 2*m**2. Let h(u) = -2*u. Let x(y) = -5*a(y) + 6*h(y). Give b(x(g)).
2*g
Let r(l) = -6*l. Let p(t) = -5*t + 5*t + t. Give r(p(x)).
-6*x
Let v(m) be the second derivative of -m**4/6 + 4*m. Let i(q) = 3*q**2. Determine v(i(f)).
-18*f**4
Let k(a) = -a. Let l(z) = -z - 127. Give k(l(s)).
s + 127
Let c(r) = -r**2. Let l(b) = -2*b**2 - 3*b**2 - 2*b**2 + b**2. Calculate c(l(i)).
-36*i**4
Let y(i) = -4*i**2. Let f(c) = -c + 1100. Give y(f(d)).
-4*d**2 + 8800*d - 4840000
Let x(p) = -4*p - 9*p + 20*p - 6*p. Let b(c) = -6*c. Determine x(b(j)).
-6*j
Let c(v) = -7*v - 8. Let a(b) = -41*b**2. Give a(c(s)).
-2009*s**2 - 4592*s - 2624
Let f(z) = 6*z**2 + 3*z**2 + 3*z**2 - 7*z**2. Let u(b) = -10*b. Determine f(u(l)).
500*l**2
Let w(x) = -6*x. Let a(y) = 3*y + 3. Let l(g) = 10*g + 8. Let q(r) = 8*a(r) - 3*l(r). Calculate w(q(u)).
36*u
Let z(y) = 7*y + 4. Let i(h) = 20*h + 11. Let c(o) = 4*i(o) - 11*z(o). Let n(g) = g + 4. Let x(a) = -a - 5. Let d(v) = 5*n(v) + 4*x(v). Calculate c(d(j)).
3*j
Let k(i) = 2*i. Let r(a) = a. Let h(d) = 2*k(d) - 5*r(d). Let w(y) = 41*y**2. Determine h(w(j)).
-41*j**2
Let d(n) = -n. Suppose 12 = 4*g + 4. Let y(k) be the second derivative of -1/12*k**4 + g*k + 0 + 0*k**3 + 0*k**2. Calculate y(d(l)).
-l**2
Let g(w) be the third derivative of 0*w + 0 + 0*w**3 + 2*w**2 + 1/12*w**4. Let u(d) = 2*d - 3*d + 9*d - 6*d. Determine g(u(j)).
4*j
Let d(b) be the first derivative of -b**5/120 - b**3 - 3. Let f(q) be the third derivative of d(q). Let o(m) = 2*m**2. Calculate f(o(n)).
-2*n**2
Let f(o) = -4*o**2. Let z(j) = 286*j**2 + 3*j. What is z(f(m))?
4576*m**4 - 12*m**2
Let x(y) = y. Suppose 0 = -6*s + 2*s. Let f = 4 + s. Let u(o) = -f*o + 4*o - 2*o**2 + 0*o**2. Calculate x(u(p)).
-2*p**2
Let o(y) = -65*y. Let v(z) = -34*z. What is v(o(p))?
2210*p
Let l(g) = 377*g. Let h(d) = 27*d. Let a(p) = -29*h(p) + 2*l(p). Let x(i) = 2*i**2. Give x(a(y)).
1682*y**2
Let y(a) = 4*a. Let z(q) = 85*q**2. Give y(z(p)).
340*p**2
Let s = -4 + 6. Let j(o) = o**2 - 5*o**2 + 2*o**s. Let k(t) = 10*t + 7. Let z(x) = 7*x + 5. Let n(y) = 5*k(y) - 7*z(y). What is j(n(h))?
-2*h**2
Let f(v) = 2*v**2. Let j(h) be the first derivative of 4*h**3/3 + 8. Determine j(f(p)).
16*p**4
Let w(g) = -2*g**2. Let m(u) = -1. Let r(a) be the first derivative of a**2 - 10*a + 4. Let j(z) = 10*m(z) - r(z). What is w(j(k))?
-8*k**2
Let b(j) = -18*j**2. Let t(m) = -2*m. Determine b(t(d)).
-72*d**2
Let n(i) be the second derivative of -i**4/6 - i. Let o(r) = 0*r - 3*r + 7*r. Let u(h) = -5*h. Let p(f) = -4*o(f) - 3*u(f). Determine n(p(c)).
-2*c**2
Suppose -13*m + 7*m = 0. Let d(t) be the second derivative of m + 0*t**2 + 1/6*t**3 - t. Let x(a) = -2*a. Give x(d(u)).
-2*u
Let z(t) = 0*t + t + 5*t - 3*t. Let s(u) = 2*u**2 + 6*u. Determine s(z(v)).
18*v**2 + 18*v
Let d(q) be the second derivative of 0*q**3 + 0 + 0*q**2 + 1/6*q**4 + 2*q. Let w(m) be the first derivative of -m**3/3 + 3. Give d(w(f)).
2*f**4
Let z(s) = -1756*s + 1. Let t(i) = -i. What is t(z(l))?
1756*l - 1
Let r(x) be the third derivative of x**4/12 - 3*x**2 + 13*x. Suppose -1 + 3 = a. Let f(n) = 1 - 1 + a*n. Calculate f(r(u)).
4*u
Let y(r) = -5*r. Let v(f) = f - 2. Determine y(v(x)).
-5*x + 10
Let k(h) = 5*h. Let x(j) = -j. Let f(n) = 2*n. Let o(q) = 4*f(q) + 11*x(q). Give k(o(t)).
-15*t
Let r(q) = -5*q. Suppose -5*d