4
Let g(b) = 61*b**2. Let n(l) = -6*l. What is n(g(m))?
-366*m**2
Suppose 0 = x + 3*b - 9, -16 = -0*x - 3*x + 2*b. Let m(c) = -21 + 21 + x*c. Let z(i) = i - i - i + 0. Determine z(m(a)).
-6*a
Let s(p) = -p**2. Let w(i) = -11*i**2 + 5*i. Give w(s(v)).
-11*v**4 - 5*v**2
Let u(i) = -7*i. Let o(p) be the first derivative of -2*p**2 - 15. Determine u(o(n)).
28*n
Let p(w) = -6*w + 34. Let n(h) = -2*h**2. Determine n(p(r)).
-72*r**2 + 816*r - 2312
Let u(y) = -2*y**2. Let h = -6 + 10. Let x(q) = -4*q**2 + 3*q**2 + h*q**2 - 4*q**2. Calculate u(x(i)).
-2*i**4
Let r(z) = 2*z. Let v(w) = -w**3 - 4*w**2 + 5*w. Let d be v(-5). Let s(c) be the first derivative of 0*c**2 + d*c + 4/3*c**3 + 1. Determine s(r(f)).
16*f**2
Let x(j) be the first derivative of j**3/3 - 5. Let h(v) = 14*v. Determine x(h(g)).
196*g**2
Let j(q) be the second derivative of -7*q**4/12 + 2*q - 12. Let a(f) = 3*f**2. What is a(j(p))?
147*p**4
Let c(g) = -14*g**2. Let f(p) = 7*p**2. Let t = -6 - -3. Let v(h) = t*c(h) - 7*f(h). Let n(b) be the third derivative of b**5/30 - 4*b**2. Give n(v(i)).
98*i**4
Let n(i) = i - 20. Let c(d) = 14*d. Give c(n(s)).
14*s - 280
Let d(g) = -g. Let q(r) = -2*r. Let f(a) = -4*d(a) + q(a). Let w(o) = 7*o. Let c be (-40)/6 - 2/6. Let k(m) = -13*m. Let x(v) = c*w(v) - 4*k(v). Give f(x(j)).
6*j
Let x(a) = 324*a. Let g(r) = r. What is x(g(y))?
324*y
Let w(z) = 3*z + 18. Let x(i) = -6*i**2. Calculate x(w(h)).
-54*h**2 - 648*h - 1944
Suppose 4*a + 4 = -12. Let y = 6 + a. Let z(u) = y*u**2 + 0*u**2 + 2*u**2 - 2*u**2. Let k(t) = 2*t**2. Calculate z(k(n)).
8*n**4
Let i(k) = 3*k - 14. Let w(t) = -12*t. What is w(i(z))?
-36*z + 168
Let p = 56 - 37. Let c(v) = 19 - p - 3*v. Let x(b) be the first derivative of b**2/2 - 1. What is x(c(d))?
-3*d
Let d(f) = -f**2. Let t(g) = -5660*g**2. Determine d(t(w)).
-32035600*w**4
Let k(r) = -875*r**2. Let c(j) = 6*j**2. Calculate k(c(m)).
-31500*m**4
Let s(g) = -1924*g**2. Let p(a) = 6*a**2. Calculate p(s(v)).
22210656*v**4
Let n(z) = -2*z**2. Let k(x) = -x**3 - 4*x**2 - x - 2. Let v be k(-4). Let a(p) = -3*p**2 - 3*p**2 + 5*p**2 - p**v. Give n(a(q)).
-8*q**4
Let b(c) = -c. Let v(l) = 3*l. Let z(x) = -10*b(x) - 4*v(x). Let f(h) = 5*h**2. Give z(f(i)).
-10*i**2
Let o(c) = 6*c**2. Let i(r) = 801*r. Calculate i(o(h)).
4806*h**2
Let f(l) = -3*l**2. Let i(h) be the second derivative of -8*h**3/3 + 27*h. What is f(i(z))?
-768*z**2
Let g(b) = 4 + 4*b - 3 - 1. Let x(v) = 4 - 2*v - 4. What is g(x(o))?
-8*o
Let t(u) = 46*u. Let x(m) = -58*m. Determine t(x(g)).
-2668*g
Let k(t) = -t. Let r(a) be the first derivative of 2/3*a**3 + 0*a + 0*a**2 - 2. Determine k(r(m)).
-2*m**2
Let y(k) = k**2 - 5*k. Let x = 18 - 13. Let b(q) = -2*q**2 + 8*q. Let a(c) = x*b(c) + 8*y(c). Let i(s) = -s. Calculate a(i(v)).
-2*v**2
Let j(s) = -2*s. Let f(p) = -p. Let a(d) = 4*d**2 - 4*d. Let x(n) = -a(n) + 4*f(n). What is j(x(k))?
8*k**2
Let u(i) = 69*i. Let s(z) = -4*z. Determine s(u(x)).
-276*x
Let s(q) = -5*q. Let c(g) = g. Suppose 2*z - 9 + 5 = 0. Let v(p) = -3*p. Let d(i) = z*c(i) + v(i). Determine d(s(l)).
5*l
Let g(o) = -26*o - 3. Let s(v) = -2*v + 12. Give s(g(n)).
52*n + 18
Let i(l) = -62*l**2 - 2*l. Let t(n) = 8*n. Give i(t(v)).
-3968*v**2 - 16*v
Let q(w) = -w. Let x(b) = b + 17*b**2 - 10*b**2 + 3*b**3 - 4 - 4*b**3. Let c be x(7). Let j(y) = 3 + y + c - 6. What is q(j(h))?
-h
Let g(i) = -1046*i. Let j(k) = -k. What is g(j(r))?
1046*r
Let w(g) = -8*g + 9*g + g. Let r(a) be the first derivative of 4*a**3/3 + 1. Calculate w(r(t)).
8*t**2
Let r(w) = -103*w**2. Let t(q) = 4*q**2. Give t(r(u)).
42436*u**4
Let r(s) = -s**2. Let q = -1 - -2. Let x(d) = -q - d - 2 + 3. Give x(r(g)).
g**2
Let h(i) = i. Let w(t) = -t + 69. What is w(h(b))?
-b + 69
Let s(t) = 13*t. Let r(q) = -131*q**2. Calculate s(r(f)).
-1703*f**2
Let h(i) be the first derivative of -i**2/2 + 1. Let f(t) be the third derivative of t**4/6 + t**2. Calculate h(f(b)).
-4*b
Let f(r) be the first derivative of r**2 + 1. Let q(w) be the second derivative of -w**4/2 - 20*w. What is q(f(a))?
-24*a**2
Let x(w) be the second derivative of -w**3/6 + 2*w. Let p be (-6)/((-6)/(-2 - -5)). Let a(v) = -3*v**2 + p*v**2 - v**2. What is a(x(q))?
-q**2
Let g(d) be the third derivative of d**4/24 + 3*d**2. Let j(z) be the third derivative of 0 + 0*z + 0*z**3 + 1/15*z**5 + 2*z**2 + 0*z**4. Determine g(j(p)).
4*p**2
Suppose 2*q + 2*q - 14 = -v, 2*q = -4*v. Let b(l) = q*l - 4*l - 2*l. Let c(r) be the first derivative of -r**2/2 + 2. Give c(b(h)).
2*h
Let s(f) be the second derivative of f**4/12 + 2*f**2 + 2*f. Let q(r) be the first derivative of s(r). Let p(o) = 8*o. Calculate q(p(h)).
16*h
Let f(z) = -8*z. Let d(h) = -283*h**2 - 2. Give d(f(y)).
-18112*y**2 - 2
Let j(i) = -i. Let d(n) = -2*n**2 - 2*n. Calculate d(j(u)).
-2*u**2 + 2*u
Let f(d) = -6*d**2. Let c(m) = m - 20. Give f(c(q)).
-6*q**2 + 240*q - 2400
Let l(y) = -2*y - y + 2*y. Let j(m) = 6*m. Let v(t) = -13*t. Let z(h) = -5*j(h) - 2*v(h). Calculate z(l(a)).
4*a
Let b(u) = -u + 14*u + 8*u. Let t(p) = -2*p**2 - 4*p - 8. Let m(s) = s**2 + s + 2. Let c(y) = 4*m(y) + t(y). What is b(c(n))?
42*n**2
Suppose u = -4*c + 17, -c + 9 = 4*u - 14. Let y(j) = u*j - 2*j - 5*j. Let t(m) = -m. Let d(z) = 2*z. Let q(w) = 3*d(w) + 4*t(w). Calculate q(y(n)).
-4*n
Let d(v) = -3*v. Let f(g) = -8*g. Let c(j) = -j. Let k(b) = -6*c(b) + f(b). Calculate d(k(n)).
6*n
Let j(n) be the third derivative of -n**5/12 - n**2. Let c(r) = 3*r. Let f(x) = -7*x. Let g(t) = 10*c(t) + 4*f(t). What is j(g(v))?
-20*v**2
Let s(h) = 2*h. Let q(v) = -5*v + 4. Let t(m) = -m + 5*m + 0*m - 5 + 2*m. Let k(w) = -5*q(w) - 4*t(w). Calculate s(k(x)).
2*x
Let d(x) = 6*x. Let h(v) = 30*v. Let f(g) = -24*d(g) + 5*h(g). Let j(m) = 7*m**2. Calculate j(f(p)).
252*p**2
Let a(d) = 10*d**2. Let x(p) = -115*p. Calculate x(a(n)).
-1150*n**2
Let h(l) = l**2 - 37*l. Let n(y) = 4*y**2. Give n(h(x)).
4*x**4 - 296*x**3 + 5476*x**2
Let g(o) = -o**2. Let n(m) = -4*m + 3. Let x(h) = h**2 - 2. Let r be x(-2). Let c(p) = 3*p - 2. Let f(u) = r*n(u) + 3*c(u). What is g(f(q))?
-q**2
Let d(o) = 180*o**2 - 3. Let l(j) = 2*j**2. Calculate d(l(i)).
720*i**4 - 3
Let r(z) = -12*z - 119. Let f(x) = 3*x. Calculate r(f(g)).
-36*g - 119
Let i(a) = -25*a. Let r(f) = -9*f**2 + 7*f + 7. Let y(d) = 5*d**2 - 4*d - 4. Let s(x) = 4*r(x) + 7*y(x). What is i(s(z))?
25*z**2
Let z = -46 + 46. Let c(i) be the third derivative of 0*i + 0 + z*i**3 + 2*i**2 - 1/24*i**4. Let v(d) = -d. Calculate v(c(n)).
n
Let a(r) be the third derivative of r**4/8 + 32*r**2. Let t(v) = -v. What is a(t(f))?
-3*f
Let h(t) = 3*t**2 - t**2 - 4*t**2. Let x(a) be the first derivative of 5*a**3/3 + 11. Calculate x(h(v)).
20*v**4
Let i(a) = -a**2 - 674*a. Let h(x) = 2*x**2. Calculate i(h(t)).
-4*t**4 - 1348*t**2
Let y(c) = c + c - 4*c. Let z(i) = -3*i - 2. Let a be z(-2). Let u(o) = 16*o**2. Let l(s) = -3*s**2. Let w(m) = a*u(m) + 22*l(m). Give y(w(x)).
4*x**2
Let g(a) = 10*a - 12. Let w(x) = -4*x + 5. Let u(m) = -5*g(m) - 12*w(m). Let h(z) = 7*z**2 - 2. Calculate h(u(k)).
28*k**2 - 2
Let p(h) be the first derivative of 0*h + 0*h**2 - 5/3*h**3 - 1. Let d(w) = -w - 8*w + 8*w. Calculate d(p(l)).
5*l**2
Let x(w) = 6*w - 27. Let d(j) = -j + 4. Let h(l) = 27*d(l) + 4*x(l). Let r(b) be the first derivative of b**2 + 2. Give r(h(m)).
-6*m
Let f(z) = 5*z. Let h(k) = 2*k. Calculate h(f(w)).
10*w
Let y = 16 - 13. Let m(g) be the second derivative of g + 1/3*g**y + 0 + 0*g**2. Let h(l) = l. What is m(h(k))?
2*k
Let t(i) be the second derivative of -7*i**4/12 + 29*i. Let h(f) be the first derivative of -f**2 - 1. Determine t(h(q)).
-28*q**2
Let u(h) = h**2. Let x(r) = -45*r**2 - 3. Determine x(u(y)).
-45*y**4 - 3
Let y(n) = 118*n**2 + 3. Let p(g) = g. Determine p(y(w)).
118*w**2 + 3
Let n(p) = -2*p**2. Let d = -50 - -70. Suppose -5*q + d = 0, -2*o + 4*o + 3*q = 20. Let i(c) = -o*c - 5 + 5. Give i(n(z)).
8*z**2
Let j(o) = 2*o**2. Let c(q) be the second derivative of -2*q**4 - 15*q. Determine j(c(b)).
1152*b**4
Let u(g) = g + 2. Let j(a) = -3*a - 3. Let s(q) = 2*j(q) + 3*u(q). Let y(n) = -60*n. Calculate s(y(b)).
180*b
Let i(w) be the second derivative of 0*w**2 + 0 - w - 1/6*w**3. Let t(h) be the third derivative of h**4/24 + 4*h**2. Give i(t(p)).
-p
Let p(o) = -2*o**2. Let r(j) = -3214*j. What is p(r(c