m**2 + 2. Determine r(y(z)).
36*z**4
Let b(d) = 17*d**2 + 9. Let r(p) = 4*p**2 + 2. Let w(n) = 4*b(n) - 18*r(n). Let v(u) = u + 3*u - 7*u. Calculate v(w(k)).
12*k**2
Let i(p) = -28*p - 5. Let w(h) = h**2. What is w(i(s))?
784*s**2 + 280*s + 25
Let a(o) be the second derivative of -1/2*o**2 - 1/12*o**4 + 0*o**3 - 2*o + 0. Let q(b) be the first derivative of a(b). Let y(c) = c**2. Give q(y(n)).
-2*n**2
Let w(f) = f**2 + 6*f**2 - 2*f**2 - f**2. Let u(o) = o**2 + 0*o**2 + o**2. Determine w(u(b)).
16*b**4
Let w(f) be the first derivative of -f**3 + 33. Let x(r) = -8*r**2. Give x(w(y)).
-72*y**4
Let m(g) = 22*g. Let c(r) = -154*r. Determine c(m(z)).
-3388*z
Let s(b) = 24676*b**2. Let p(c) = c. What is s(p(w))?
24676*w**2
Let g(i) = -718*i**2. Let f(b) = -5*b. Calculate f(g(w)).
3590*w**2
Let w(u) be the third derivative of -u**4/24 + u**2. Let b(g) = 2*g. Let q(a) = -4*b(a) - 9*w(a). Let v(f) = -5 - f + 5. Give q(v(t)).
-t
Let j(c) = c**2. Let b(r) = 349*r. What is j(b(a))?
121801*a**2
Let x(c) be the first derivative of c**2/2 + 2. Suppose 5*z - 3*z + 14 = 0. Let v(f) = -10*f + 7. Let k(g) = 7*g - 5. Let p(s) = z*k(s) - 5*v(s). Give x(p(q)).
q
Let b(d) = 2*d**2. Let t(p) = -p + 8. Let a = 16 - 9. Let l be t(a). Let q(s) = 1. Let f(c) = -2*c + 3. Let z(v) = l*f(v) - 3*q(v). Give z(b(r)).
-4*r**2
Let s(q) = -114 + 3*q**2 + 114. Let x(h) = 4*h - 14 + 14. Determine x(s(b)).
12*b**2
Let j(d) = -3*d**2 + 45*d. Let n(z) = z**2. Give n(j(k)).
9*k**4 - 270*k**3 + 2025*k**2
Let t(z) = -10*z. Let r(j) = -33 + 3*j + 33. Give t(r(g)).
-30*g
Let z(u) = 4*u**2. Let i(n) be the first derivative of -2*n**2 + 13*n + 5. Let j(b) = -2*b + 6. Let y(m) = -6*i(m) + 13*j(m). Determine y(z(g)).
-8*g**2
Let w(d) = -2*d. Let a(t) = -t**2 + t + 1. Let x(b) = -5*b**2 + 8*b + 8. Let r(l) = 24*a(l) - 3*x(l). Determine w(r(s)).
18*s**2
Let n(t) be the second derivative of t**4/4 - 2*t. Let p(j) = -j. What is n(p(v))?
3*v**2
Let f(b) = -89*b. Let g(h) = 3*h. What is f(g(m))?
-267*m
Let v(u) = -3*u. Let q(a) = -a. Let r(h) = 4*q(h) - v(h). Let l(o) = -3 + 2*o + 3. Give l(r(s)).
-2*s
Let z(s) = -3*s. Let v be (-4 - (-2 + -3))*0. Let g(k) be the third derivative of 0*k**4 - k**2 + 0 + v*k + 1/60*k**5 + 0*k**3. What is z(g(w))?
-3*w**2
Let f(q) be the second derivative of q**3 + q. Let m(s) = 2*s. Let x(v) = v. Let y(h) = -2*m(h) + 3*x(h). What is f(y(t))?
-6*t
Let q(u) = -4*u. Let b(o) be the third derivative of o**8/10080 - o**5/30 - 3*o**2. Let j(w) be the third derivative of b(w). Calculate q(j(g)).
-8*g**2
Let p(r) = -3*r**2. Let q(o) = -12*o**2. Let b(j) = -21*p(j) + 5*q(j). Let d(s) = -13*s. Calculate d(b(g)).
-39*g**2
Let f(r) = -4*r**2. Let m(q) = 130*q**2 - q. Determine m(f(l)).
2080*l**4 + 4*l**2
Let u(c) = 2*c**2. Let f(m) be the third derivative of -m**7/1260 - m**5/60 - 4*m**2. Let r(q) be the third derivative of f(q). What is u(r(b))?
32*b**2
Let k(q) = -2*q. Let y = 0 - -2. Let d(g) = -g + g - y*g**2. Determine k(d(m)).
4*m**2
Let o(g) = 2*g + 2. Let b(d) = -d**2 + d + 1. Let k(f) = 2*b(f) - o(f). Let v(z) = -9*z**2. Determine v(k(c)).
-36*c**4
Let t(j) = -14*j - 12. Let m(k) = k + 1. Let p(q) = 12*m(q) + t(q). Let l(d) = 8*d**2 - 16*d**2 + 6*d**2. Give l(p(u)).
-8*u**2
Let r(g) = 45*g**2. Let z(l) = -3*l**2 - 22. Give r(z(b)).
405*b**4 + 5940*b**2 + 21780
Let a(n) = -673*n. Let j(q) = -q**2. Determine a(j(r)).
673*r**2
Let c(z) = 8*z + 6*z - 11*z. Let i(m) = -7*m**2. Calculate c(i(l)).
-21*l**2
Let n(c) = 45*c**2. Let d(m) = -m**2 + 5*m. Let p(t) = 2*t**2 - 8*t. Let z(k) = -8*d(k) - 5*p(k). Determine n(z(y)).
180*y**4
Let t(u) = u**2. Let s(d) = d**2 + d + 1. Let g(k) = -15*k**2 - 12*k - 12. Let j(p) = -g(p) - 12*s(p). Give j(t(c)).
3*c**4
Let v(i) = -i**2 - 7*i - 6. Let j be v(-5). Let d(w) = 6*w**2 - j*w**2 - w**2. Let r(n) = n. Calculate r(d(t)).
t**2
Let g(x) = 9*x**2. Let m(f) be the first derivative of 2*f**2 - 9. What is g(m(t))?
144*t**2
Let f(q) = -3*q. Let k(m) = 1. Let x(c) = -2*c**2 - 5. Let s(r) = -10*k(r) - 2*x(r). What is s(f(a))?
36*a**2
Let k(n) be the third derivative of 11*n**5/15 - 30*n**2. Let w(l) = l**2. Calculate w(k(f)).
1936*f**4
Let r(o) = -o + 1. Let m(a) = a**2 + 2*a - 2. Let l(x) = 3*m(x) + 6*r(x). Let n(f) = -f. Give n(l(p)).
-3*p**2
Let v(c) be the first derivative of c**3/3 + 6. Let u(f) = 2*f. Calculate v(u(d)).
4*d**2
Let c be 14/8 + (-3)/(-12). Let z(s) = -c*s + s + 3*s. Let m(i) = i**2. Determine z(m(p)).
2*p**2
Let c(s) = 6*s**2. Let y(d) = d - 54. Determine y(c(p)).
6*p**2 - 54
Let q(a) = 22*a - 10. Let o(x) = -21*x + 8. Let j(n) = 5*o(n) + 4*q(n). Let w(g) = 3*g. What is w(j(r))?
-51*r
Let h(m) be the first derivative of m**4/12 + 2*m - 3. Let n(t) be the first derivative of h(t). Let o(p) = 4*p**2. Give o(n(c)).
4*c**4
Let j(z) = -z**2. Let f(w) be the second derivative of 0 - w + 0*w**2 + 3/2*w**3. Determine j(f(i)).
-81*i**2
Suppose -n - 3*n = 40. Let x be n/(-8) + (-2)/8. Let r(k) = -k + 2 - x - 1. Let a(z) = -z. Give a(r(v)).
v
Let a(f) = -3*f**2 + 83*f - 83*f. Let n(g) = 3*g. Give n(a(k)).
-9*k**2
Let q(m) = -m. Let w(d) be the third derivative of -d**4/3 + 5*d**2. Calculate w(q(l)).
8*l
Let c(d) = -3*d**2. Suppose 0 = 2*r + 3*r - 25. Let x = -2 + r. Let t(j) = 3 + j**2 - x. What is t(c(w))?
9*w**4
Let y(c) = -c. Let w(h) = -3*h + 5. Suppose 0 = 2*d + 4 - 6. Let f be (-18 + 2 + 2)*d. Let q(n) = -8*n + 14. Let a(u) = f*w(u) + 5*q(u). Give y(a(x)).
-2*x
Let o be (4/(-6))/(4/6). Let g = 3 + o. Let f(d) = -3*d**2 + d**2 + 3*d**g + 0*d**2. Let m(h) = 2*h. Calculate m(f(c)).
2*c**2
Let v(o) = -24*o. Let p(n) = -45*n. Determine v(p(b)).
1080*b
Let r(h) be the second derivative of -h + 0 + 0*h**2 + 0*h**3 - 1/6*h**4. Let j(a) = -2*a**2. Let t(v) = v**2. Let y(o) = -j(o) - 3*t(o). Calculate r(y(c)).
-2*c**4
Suppose x = 3*f - 4, 16 = 2*f - 5*x - 4. Let o(l) = -1 + f*l - 3*l + 1. Let k(r) = 2*r**2. What is o(k(s))?
-6*s**2
Let k(m) = -3*m. Let w(j) = -17*j - 4. Let n(g) = 221*g + 51. Let y(x) = 4*n(x) + 51*w(x). What is y(k(s))?
-51*s
Let f(z) = -10*z**2. Let q(g) = 10*g**2. Calculate f(q(v)).
-1000*v**4
Let w(b) = 4*b**2. Let l(c) = -99*c**2. Determine w(l(m)).
39204*m**4
Let h(m) = m**2. Let c = 11 + 0. Suppose 4*o - 15 = r, 0 = o + 5*r + 2 - c. Let j(b) = 11 + o*b**2 - 11. Determine j(h(i)).
4*i**4
Let u(m) = -m**2. Let s be (-4)/(1*(-2)/3). Let z(g) = 2*g + 3*g**2 - 2*g - s*g**2. Give u(z(w)).
-9*w**4
Let a(p) = 2*p - p**2 - 2*p. Let u(d) = -7*d**2 - 13*d**2 + 17*d**2. What is a(u(v))?
-9*v**4
Let x(p) be the second derivative of 2*p**4/3 + 6*p. Let r(j) = 3*j**2. Calculate r(x(w)).
192*w**4
Let f(p) = 3*p. Let n(b) = -2*b - 21. What is f(n(r))?
-6*r - 63
Let l(i) = 39*i. Let r(y) = -4*y. Let c(z) = z. Let p(a) = -18*c(a) - 4*r(a). Determine l(p(v)).
-78*v
Let p = -13 + 19. Let m = 8 - p. Let b(a) = a**m - 4*a**2 - 2*a**2 + 0*a**2. Let u(c) = -c. Give b(u(q)).
-5*q**2
Let f(m) = -m. Let k(s) be the first derivative of -s**6/360 - s**3/3 + 2. Let o(x) be the third derivative of k(x). Give o(f(n)).
-n**2
Let i(u) = u - 286. Let s(w) = w**2. Determine i(s(t)).
t**2 - 286
Let j(s) = 2*s**2. Let b(x) be the first derivative of -8*x**3/3 + 2. Calculate j(b(q)).
128*q**4
Let j(n) = n. Let f(d) be the second derivative of d**5/24 + 2*d**3/3 - 2*d. Let m(t) be the second derivative of f(t). Give j(m(c)).
5*c
Let r(d) = 8*d**2 + 11*d + 11. Let j(c) = -3*c**2 - 4*c - 4. Let u(l) = 11*j(l) + 4*r(l). Let i(t) = -5*t. Determine u(i(y)).
-25*y**2
Let u(q) = q**2. Let a = 2/21 - 1/35. Let s(j) be the third derivative of 0*j**4 - j**2 - a*j**5 + 0 + 0*j + 0*j**3. Determine s(u(c)).
-4*c**4
Let o(m) be the first derivative of m**3 - 1. Let l(a) = -4*a. Calculate o(l(d)).
48*d**2
Let a(c) be the third derivative of 3*c**2 + 0*c + 0 - 1/15*c**5 + 0*c**4 + 0*c**3. Let v(t) = 2*t. What is v(a(w))?
-8*w**2
Let p(f) = -86*f. Let k(c) = 2. Let v(w) = -w + 1. Let d(r) = k(r) - 2*v(r). Calculate d(p(b)).
-172*b
Let z(n) = -5*n**2 + 4*n. Let c(i) = -i**2 + 2*i + 2. Let y(a) = -2*a**2 + 3*a + 3. Let b(u) = 6*c(u) - 4*y(u). Calculate b(z(o)).
50*o**4 - 80*o**3 + 32*o**2
Let l(n) = -6*n**2. Let b(i) be the second derivative of 2*i + 0 + 1/6*i**3 + 0*i**2. What is b(l(h))?
-6*h**2
Let n = 13 + -12. Let y(i) = 7*i**2 - 2. Let u(r) = r**2 + 1. Let b(t) = n*y