*j
Let l(h) = -h. Let u(q) be the third derivative of 0*q**3 + 0 + 0*q - 5/24*q**4 - 8*q**2. Calculate u(l(a)).
5*a
Let w(d) = d + 5. Let s(g) = 6*g + 2. What is s(w(y))?
6*y + 32
Let b(o) = 1641*o. Let i(f) = -f. Give i(b(u)).
-1641*u
Let c(w) = -w**2 - 452*w. Let g(i) = 3*i. What is g(c(x))?
-3*x**2 - 1356*x
Let d(r) = -2*r**2. Let w be (-4)/14 + (-19)/7. Let u = w - -5. Let j(a) = 2*a**u + 3*a**2 - 6*a**2. Calculate j(d(c)).
-4*c**4
Let c(v) = 6*v**2 - 3*v - 2. Let l be c(-2). Let r(f) = l*f**2 + 3 - 3 - 30*f**2. Let n(b) = -b. Give n(r(a)).
2*a**2
Let v(s) = 8*s - 3*s - 3*s. Let h(a) = 5*a**2 + 19*a + 5*a - 24*a. What is v(h(x))?
10*x**2
Let q(i) be the first derivative of -1/2*i**2 + 10 + 0*i. Let l(d) = d**2. Give l(q(r)).
r**2
Let b(o) = 1246*o. Let a(j) = j. What is a(b(m))?
1246*m
Let z(m) = 4*m**2. Let i(x) = -x. Let q(y) = y - 1. Let t(r) = -7*r + 4. Let w(u) = 4*q(u) + t(u). Let k(c) = -11*i(c) + 4*w(c). Calculate z(k(h)).
4*h**2
Let d(v) = 3*v**2. Let w(j) = -2*j**2. Let n(t) = 3*d(t) + 5*w(t). Let y(b) = 61*b**2. Determine n(y(p)).
-3721*p**4
Suppose 2*q + 4 = -2*o, -q - 1 + 7 = -o. Let j(b) = -b**q - 3*b + 3*b + 0*b**2. Let r(c) = -4*c**2. Calculate j(r(x)).
-16*x**4
Let p(o) = 2*o - 31. Let r(s) = -15*s**2. What is r(p(a))?
-60*a**2 + 1860*a - 14415
Let f(w) = -w. Let j(a) = 4*a - 5*a + 7*a. What is f(j(r))?
-6*r
Let r(j) = -740*j**2. Let q(b) = 6*b. Give r(q(f)).
-26640*f**2
Let z(b) = -2*b**2. Let d(i) = -83*i - 22. Give d(z(v)).
166*v**2 - 22
Let p(c) = -6*c - 5. Let m(y) = y + 1. Let g(x) = -10*m(x) - 2*p(x). Let t(f) = -3*f + 3*f - 2*f**2. Give t(g(o)).
-8*o**2
Let a(r) = 1 - 1 + 2*r. Let v(d) = d**2 - 5*d + 5. Let g(t) = -t**2 + 3*t - 3. Suppose -2*m + 4 = -2. Let b(x) = m*v(x) + 5*g(x). What is b(a(i))?
-8*i**2
Suppose 3*k = 2*k - 1. Let b be 10/4 + k/2. Let i(o) = b*o + o - 2*o. Let x(q) = -q. Give x(i(r)).
-r
Let t(p) = 3*p. Let a(g) = 109*g**2. What is t(a(w))?
327*w**2
Let x(s) = -30*s. Let y(v) = -46*v. Calculate y(x(o)).
1380*o
Let y(z) = -4*z - 12. Let u(p) = -p**2. Determine u(y(l)).
-16*l**2 - 96*l - 144
Let r(j) be the third derivative of -j**6/720 - j**4/12 - 3*j**2. Let m(f) be the second derivative of r(f). Let c(n) = 2*n**2. Determine m(c(z)).
-2*z**2
Let y(d) = 26*d**2. Let a(v) = 4*v - 7. Let f(o) = -o + 2. Let x(l) = -2*a(l) - 7*f(l). Give y(x(p)).
26*p**2
Let s(y) = 5*y**2. Suppose i + 0 = 3*a + 5, 4*i + 4*a - 4 = 0. Let d(v) = -i*v + 2*v - 3*v. Calculate d(s(x)).
-15*x**2
Let y(z) = -2*z**2 - 5*z. Let r(w) = -4*w**2. Calculate r(y(v)).
-16*v**4 - 80*v**3 - 100*v**2
Let p(w) = 4*w + 0*w - w. Let q(d) be the first derivative of -3*d**2/2 + 1. Give q(p(b)).
-9*b
Let y(t) = 122*t**2. Let i(r) = -r. Determine i(y(v)).
-122*v**2
Let p(r) = -3 - 28*r**2 + 27*r**2 + 3. Let o(g) be the first derivative of 3*g**2/2 + 1. Calculate o(p(z)).
-3*z**2
Let l(m) = -m**2. Let y(k) = k. Let j(i) = -15*i. Let g(b) = j(b) + 25*y(b). Give l(g(z)).
-100*z**2
Let d(j) = -j**2 - 5*j**2 + j**2. Let r(q) = 6*q. Calculate d(r(v)).
-180*v**2
Let o(l) = 2*l. Let n(v) = -4*v + 5. Let k = -5 - -13. Let s = 28 - 33. Let m(q) = -6*q + 8. Let d(h) = k*n(h) + s*m(h). Determine d(o(b)).
-4*b
Let r(c) = -3*c**2 + 8*c. Let a(d) = -2*d**2 + 5*d. Let n(u) = -8*a(u) + 5*r(u). Let h(l) be the third derivative of -l**5/30 + 7*l**2. Calculate n(h(i)).
4*i**4
Let o(h) = -h**2. Let y(d) = 1 - 1 - 2*d**2 - 7*d. Let r(z) = z**2 + 3*z. Suppose 0 = 3*c - c - 6. Let a(t) = c*y(t) + 7*r(t). What is a(o(w))?
w**4
Let g(a) = 2*a. Let t(x) = x + 2. Let s be t(-3). Let m = 1 - s. Let r(d) = d**m - d**2 + d**2. Calculate g(r(z)).
2*z**2
Let o(f) = -8*f - 2. Let y(d) = -d - 1. Let h(a) = o(a) - 2*y(a). Let i(x) = -x**2 + 3. Let m(s) = -2*s**2 + 4. Let k(c) = -4*i(c) + 3*m(c). Calculate k(h(w)).
-72*w**2
Let o(z) = -8*z. Let m(d) be the first derivative of -2*d**3/3 - 3. What is o(m(s))?
16*s**2
Let z(f) = -9*f**2. Suppose -4*b = -b. Let v(l) = 4*l**2 + 0 + b - 2*l**2. Give z(v(g)).
-36*g**4
Let b(n) = -362*n - 1. Let a(o) = -2*o. Give b(a(y)).
724*y - 1
Let i(j) be the second derivative of -j**3/6 - j. Let n(q) be the first derivative of q**2/2 + 5. Determine i(n(o)).
-o
Let l(n) = 1072*n. Let f(a) = -9*a. What is l(f(x))?
-9648*x
Let l(n) be the second derivative of n**4/3 - 2*n. Suppose -4*r + 3*u + 27 = 0, 5*r - 14 = u + 6. Let j(a) = -r*a + 0*a + a. Calculate l(j(o)).
16*o**2
Let z(u) = u. Suppose -2*j + r - 2*r + 3 = 0, 0 = j - r - 3. Let k(q) be the second derivative of 0*q**j + 0*q**3 + 2*q - 1/4*q**4 + 0. Determine z(k(b)).
-3*b**2
Let l(p) = -2*p**2. Let s(c) = -10*c - 3*c - 6*c - 13*c. What is l(s(q))?
-2048*q**2
Let b(q) = -12*q**2 + 5. Let w(f) = 42*f**2 - 18. Let z(r) = -18*b(r) - 5*w(r). Let k(u) = 9*u. Give z(k(s)).
486*s**2
Let o(f) = -f**2 - 8*f + 2. Let q be o(-8). Let b(t) = -5 + 5 + q*t. Let c(l) = -l**2. Determine b(c(s)).
-2*s**2
Suppose -4*v = -4*f + 4, 0 = 4*f + f - 3*v - 7. Let j(i) = 4*i - 3*i**f - 4*i. Let t(u) = -u + 8*u - 4*u. Determine t(j(o)).
-9*o**2
Let k(c) = 2*c**2. Let j(n) be the first derivative of 2*n**3/3 + 13. What is j(k(p))?
8*p**4
Let f(g) = -1499*g**2. Let n(h) = -7*h. Calculate f(n(i)).
-73451*i**2
Let s(g) = g**2. Let b(w) = 5*w**2 - 633*w. Calculate b(s(n)).
5*n**4 - 633*n**2
Let y(v) = -4*v + 5*v - 2*v. Let w(a) be the third derivative of 0*a**3 + 2*a**2 - 1/24*a**4 + 0 + 0*a. Calculate w(y(k)).
k
Let h(v) be the first derivative of -v**2 + 3. Let b(k) be the second derivative of 5*k**4/12 - 2*k. Determine h(b(x)).
-10*x**2
Suppose -a + 2 + 0 = 0. Let c(l) = -l**2 + 7*l**2 - 7*l**a. Let r(v) = -3*v. What is c(r(s))?
-9*s**2
Let u(k) = k. Let y(b) = 6*b - 7. Let l(d) = 2*d - 2. Let s(o) = 7*l(o) - 2*y(o). Calculate s(u(t)).
2*t
Let v(p) = 35*p + 28. Let q(y) = -y - 1. Let m(o) = 28*q(o) + v(o). Let r(n) = -n**2. What is m(r(g))?
-7*g**2
Let g(p) = 4*p**2. Let z = -3 - -4. Let j(k) = -5*k - 4. Let t(i) = -i - 1. Let c(d) = z*j(d) - 4*t(d). What is c(g(b))?
-4*b**2
Let f(l) = 2*l**2. Let u(x) = x + 13*x - x. What is f(u(c))?
338*c**2
Let y(w) be the third derivative of 0*w**3 - 2*w**2 + 0*w - 1/6*w**4 + 0. Let q(o) = o**2. Determine y(q(g)).
-4*g**2
Let n(g) = -1 + 1 + 566*g - 542*g. Let z(b) = -3*b**2. Determine z(n(h)).
-1728*h**2
Let j(q) = -30*q**2 + 7*q. Let k(a) = -a. Give j(k(g)).
-30*g**2 - 7*g
Let g(s) = -18*s**2. Let w(q) = 8*q - 18. Calculate g(w(u)).
-1152*u**2 + 5184*u - 5832
Let k(u) = -11*u. Let x(s) = 24*s. Determine k(x(h)).
-264*h
Let d(j) = -27*j. Let x(t) = -143*t**2. Give x(d(g)).
-104247*g**2
Let o(c) = -c + c + 7*c. Let h(s) = -2*s. What is h(o(i))?
-14*i
Let i(z) = 21*z**2 - 2. Let p(v) = v**2. Determine p(i(g)).
441*g**4 - 84*g**2 + 4
Let m(s) = 4*s**2. Let g(b) = 460*b**2 + 2. Determine g(m(t)).
7360*t**4 + 2
Let o(b) = -24*b. Let u(t) = -4*t. What is u(o(f))?
96*f
Let j be 0 + -5 + 3 + 4. Let c(x) = -10*x**2 - 3*x**2 + j*x**2 + x**2. Let s(f) = 2*f. Calculate s(c(b)).
-20*b**2
Let u(s) = s**2. Let y(k) = 189*k**2 - 420*k**2 + 202*k**2. Calculate u(y(o)).
841*o**4
Let g(k) = -3*k**2 - k**2 + k**2 + k**2. Let h(q) = -7*q. Let i(r) be the third derivative of r**4/6 - 3*r**2. Let y(f) = -3*h(f) - 5*i(f). What is y(g(d))?
-2*d**2
Suppose 3*y - 15 = -0*y. Let z(x) = -7 - y*x**2 + 3*x - 1 - 3*x. Let w(t) = -3*t**2 - 5. Let n(g) = 8*w(g) - 5*z(g). Let i(o) = -o**2. Determine n(i(h)).
h**4
Let u(c) be the second derivative of -c**4/6 - 32*c. Let i(x) = -22*x - 5. Let z(f) = 143*f + 33. Let l(j) = 33*i(j) + 5*z(j). Give u(l(n)).
-242*n**2
Let u be 4/(-6) + 14/3. Let y = u + -2. Let m(b) = -y*b**2 + 4*b**2 - 4*b**2. Let a(x) = -x**2. What is m(a(w))?
-2*w**4
Let k(r) = 4*r. Let y(d) = 13*d**2 + 11. Let u(a) = -7*a**2 - 6. Let n(l) = 11*u(l) + 6*y(l). Calculate k(n(x)).
4*x**2
Let o(r) be the first derivative of -r**2/2 - 6. Let h(f) = 5*f. Determine h(o(m)).
-5*m
Let a = 11 - 9. Let v(q) = 0*q + 3*q - a*q. Let m(j) = -j. Determine v(m(w)).
-w
Let t(o) = 32*o**2 - 1. Let p(b) = b**2. Determine p(t(a)).
1024*a**4 - 64*a**2 + 1
Let q(j) = -j + 1. Let n(p) = -2*p**2 + 2*p - 3. Let g(k) = n(k) + 2*q(k). Let a(z) be the first derivative of g(z). Let i(r) = -r. Give a(i(m)).
4*m
Let t(d) = -2*d. Let w(v) = 41*v - 7. Calculate t(w(s)).
-82*s + 14
Let o be (-29)/(-4) + (-3)/12. Let v(y) = o + y - 7 + 0*