*x**2
Let x(w) = -48*w**2 + 90*w + 2. Let v(c) = c. Determine v(x(d)).
-48*d**2 + 90*d + 2
Let w(r) = -10*r**2. Let n(s) be the second derivative of s**4/12 - 5*s. Calculate w(n(z)).
-10*z**4
Let o(c) = 3*c. Let i(j) = -826*j. What is i(o(m))?
-2478*m
Let x(y) = -2*y. Let v = -10 - -31. Suppose 54 = 2*z + 12. Let r(g) = -v + z + 2*g. Determine x(r(m)).
-4*m
Let q(x) = 2*x**2. Let n(i) = 2*i. Let d(u) = -u. Let b be (2 + (-3)/3)*3. Let m(v) = b*n(v) + 4*d(v). Determine q(m(z)).
8*z**2
Let v(y) = -y**2 - 2*y - 2. Let z(j) = -6*j**2 - 11*j - 11. Let l(t) = 11*v(t) - 2*z(t). Let r(d) = d. What is l(r(g))?
g**2
Let t(v) = -2*v + 2*v + 5*v. Let l(m) = m**2 - 6*m + 6. Let j(b) = -b**2 + 5*b - 5. Let r(q) = 6*j(q) + 5*l(q). Give t(r(i)).
-5*i**2
Let w(r) = -682*r**2. Let u(s) = -s**2. Determine w(u(k)).
-682*k**4
Let g(q) = 21*q**2. Let l(m) = -127 + 127 + m**2. Give g(l(j)).
21*j**4
Let i(g) = 4*g. Let t(j) = 111*j. Give t(i(y)).
444*y
Let c(a) = -10*a + 4. Let w(f) = 9*f - 3. Let r(u) = 3*c(u) + 4*w(u). Let t be (-12)/(-15) - (-1)/5. Let p(v) = -1 - v + t. Determine r(p(b)).
-6*b
Let s(f) = -2*f**2. Let a(p) = 49*p + 2. What is s(a(l))?
-4802*l**2 - 392*l - 8
Let i(l) = l**2 + 2. Let y(n) = 27*n. Calculate i(y(p)).
729*p**2 + 2
Let y(m) = m + 1. Let d(g) = g**3 - 5*g**2 + 3*g - 3. Let k be d(5). Let a(h) = 8*h + 12. Let p(j) = k*y(j) - a(j). Let b(q) = q. What is p(b(c))?
4*c
Let l(m) be the first derivative of -5*m**3/3 - 3. Let g = -7 + 3. Let q(h) = -h. Let w(z) = -3*z. Let n(f) = g*q(f) + 2*w(f). Give l(n(b)).
-20*b**2
Let a(s) = -280*s**2 + 15*s + 1. Let x(z) = 2*z. What is a(x(i))?
-1120*i**2 + 30*i + 1
Let r(o) be the second derivative of 2*o**3/3 + 5*o - 2. Let m(v) = -4*v**2. Calculate m(r(l)).
-64*l**2
Let c(r) = -r**2 + 2. Let w(x) = 2. Let s(i) = -3*c(i) + 2*w(i). Let o(n) = -16*n**2 + 11. Let u(q) = -2*o(q) - 11*s(q). Let v(k) = -3*k**2. Calculate v(u(m)).
-3*m**4
Let c(j) = 4*j**2. Let g(i) = 47*i. Determine g(c(b)).
188*b**2
Let f(a) = -2*a**2 + 9*a. Let y(m) = 294*m**2. Determine f(y(k)).
-172872*k**4 + 2646*k**2
Let m(o) = -7*o**2. Let k(x) = 15*x**2 - 13. Let g(i) = 7*i**2 - 6. Let z(j) = -13*g(j) + 6*k(j). Calculate m(z(h)).
-7*h**4
Let i(a) = -19*a**2. Let s(l) = 12*l**2. Give s(i(b)).
4332*b**4
Let a(b) = 68*b**2 + 30*b - 1. Let y(x) = -x. Calculate a(y(p)).
68*p**2 - 30*p - 1
Let t(h) = -3*h. Let o(v) = v**3 - 2*v**2 - 3*v + 2. Let b(j) = j + 10. Let y be b(-7). Let c be o(y). Let q(p) = p**c + p**2 - 3*p**2. What is q(t(s))?
-9*s**2
Suppose -3*d = 2*v + 3, -v = 2*v + 2*d - 3. Let a(z) = -2*z - v + 3. Let m(f) be the third derivative of -f**4/12 + f**2. What is a(m(g))?
4*g
Let i(l) be the second derivative of l**3/3 - 18*l. Let n(j) = -6*j**2 + 11*j. Let t(m) = -m**2 + 2*m. Let z(r) = 2*n(r) - 11*t(r). Calculate i(z(y)).
-2*y**2
Let q(s) = 9*s**2. Let t(z) = -4*z**2 - z - 1. Let d(r) = r**2 + r + 1. Let a(h) = d(h) + t(h). Calculate a(q(x)).
-243*x**4
Let t(p) = -p. Let s(w) = 5*w**2 - 2*w. Give s(t(u)).
5*u**2 + 2*u
Let k(x) = -3*x + 4. Let d(q) = 5*q - 7. Let j(y) = 4*d(y) + 7*k(y). Let v = 9 - 4. Let t(a) = v*a - 2*a + 2*a. Calculate j(t(i)).
-5*i
Let x(k) be the first derivative of k**3 - 8. Let v(c) = -5*c. Give x(v(g)).
75*g**2
Let n(p) = -15*p. Let w(q) = q**2 + q + 1. Let x(r) = -r - 1. Let m be -3 + -3 + 2 + 3. Let o(f) = m*w(f) - x(f). Calculate o(n(s)).
-225*s**2
Let f(w) = -w**2. Let y be -1 - -3 - 0/6. Let o(u) = -y*u - 6*u + 0*u - 6*u**2. Let q(c) = -2*c**2 - 3*c. Let r(l) = -3*o(l) + 8*q(l). Calculate r(f(h)).
2*h**4
Let f(m) = 2*m. Let b(d) = -2*d**2 - 6. Let l(j) = -j**2 - 9. Let g(q) = 6*b(q) - 4*l(q). Give f(g(y)).
-16*y**2
Let a(b) be the third derivative of -5*b**4/24 + b**2. Let g(d) be the third derivative of d**4/24 + 18*d**2. Determine g(a(v)).
-5*v
Let r(p) = 15*p. Let d(f) = 46*f. Calculate r(d(l)).
690*l
Let v(d) = -5*d + 6. Let j(n) = 5*n - 5. Let y(i) = -6*j(i) - 5*v(i). Let x(m) = 2*m. What is x(y(l))?
-10*l
Let j(r) = -r**3 - 7*r**2 - 6*r + 1. Let n be j(-6). Let q(z) = -n + z + 1. Let f(w) = 2*w**2. Calculate f(q(s)).
2*s**2
Let t(s) = -s. Let x(w) be the third derivative of w**5/30 + 4*w**2. Determine x(t(o)).
2*o**2
Let q(y) = 13*y**2. Let g(l) = 140*l. What is g(q(b))?
1820*b**2
Let t(v) = -14*v**2 - 12. Let f(y) = -y**2 - 2 + 3 - 2. Let i(q) = -12*f(q) + t(q). Let u(o) be the first derivative of -o**2/2 + 1. Determine i(u(d)).
-2*d**2
Let d = 0 + 2. Let t(c) = -2*c**2 - 2*c**d + 3*c**2. Let y(a) = 5*a**2 - 7. Let f(p) = -2*p**2 + 3. Let g(l) = -14*f(l) - 6*y(l). Determine t(g(x)).
-4*x**4
Let f(o) be the third derivative of o**5/24 + 2*o**3/3 - 5*o**2. Let g(u) be the first derivative of f(u). Let j(b) = b. Calculate g(j(t)).
5*t
Let b(l) = -l. Suppose -7*z + 2*z - 23 = -3*q, 4*q + 4*z - 84 = 0. Let u(i) = -q*i**2 + 28*i**2 - 11*i**2. What is u(b(y))?
y**2
Let x(z) = -z**2. Let d(o) = 384*o. What is x(d(j))?
-147456*j**2
Let q(v) = -v**2. Let c(g) be the first derivative of 13*g**2/2 - 4. Give c(q(u)).
-13*u**2
Let v(q) = 2*q**2. Let t(w) = 2085*w. Calculate t(v(b)).
4170*b**2
Let p(o) = -5*o. Let m(j) be the second derivative of -j**3/3 + 6*j. What is m(p(x))?
10*x
Let i(d) = -d. Let f(y) be the third derivative of -13*y**4/24 + 11*y**2. Calculate f(i(c)).
13*c
Let i(y) = -y + 1. Let b(z) = z**2 - 9*z + 9. Let u(d) = 2*b(d) - 18*i(d). Let m(h) = -3*h**2 + h**2 - h**2. Calculate u(m(a)).
18*a**4
Let c(i) = 50*i**2. Let z(v) = -4*v**2. Give c(z(o)).
800*o**4
Let v(f) = 6*f. Let z(h) = -6*h. Determine v(z(k)).
-36*k
Let y(h) = -3. Let s(i) = -1. Let a(b) = 5*s(b) - 2*y(b). Let c(n) = -4*n + 6. Let u(g) = -6*a(g) + c(g). Let k(m) = -2*m. Give k(u(j)).
8*j
Let j(z) = -11*z. Let u(w) = w. Let q(c) = 2*j(c) + 18*u(c). Let i(r) = 9*r. Calculate q(i(x)).
-36*x
Let l(z) be the second derivative of -z**4/4 + z. Let i(d) be the third derivative of -d**4/8 - d**2. Give l(i(j)).
-27*j**2
Let a(m) = m - 72. Let v(t) be the first derivative of -2*t**3/3 + 27. Calculate a(v(w)).
-2*w**2 - 72
Let p(y) = -y. Let g(j) = 2*j**2 - 5*j. Let w(m) = -3*m**2 + 7*m. Let q(n) = 7*g(n) + 5*w(n). Determine q(p(a)).
-a**2
Let d(n) = 13*n + 7. Let y(o) = -17*o**2. What is d(y(g))?
-221*g**2 + 7
Let m(s) = 3*s + 0 + 0. Suppose 0 = -4*j + x - 4, -2*j - x + 4 = -j. Let l(c) = j - 2*c**2 - 3 + 3. What is l(m(v))?
-18*v**2
Let u(l) = -9*l**2 + 2*l - 18*l**2 - 7*l**2 + 4*l**2. Let s(h) = -h**2. What is s(u(b))?
-900*b**4 + 120*b**3 - 4*b**2
Let n(z) = 7*z - 5. Let h(m) = -3*m + 2. Let u(i) = 5*h(i) + 2*n(i). Let b(f) be the second derivative of 0*f**2 + 0 + 3*f + 1/3*f**3. Give u(b(g)).
-2*g
Let q(g) = 2*g**2. Let p(a) be the third derivative of -a**4/12 + 6*a**2. Determine p(q(f)).
-4*f**2
Let g(o) = 35*o + 13. Let b(f) = -2*f**2. Give b(g(h)).
-2450*h**2 - 1820*h - 338
Let z(n) = 17*n. Let b(w) = 41*w**2. Calculate z(b(h)).
697*h**2
Let j(m) = -m - 5. Let v(w) = -3*w - 21. Let k(c) = -21*j(c) + 5*v(c). Let d(u) be the third derivative of -u**5/20 - 116*u**2. Determine d(k(q)).
-108*q**2
Let d(m) = -92*m**2. Let t(v) = -5*v**2. Calculate d(t(z)).
-2300*z**4
Let q(j) = -2*j - 7. Let n(v) = -v - 4. Let f = 12 + -16. Let p(b) = f*q(b) + 7*n(b). Let h(x) be the first derivative of 4*x**3/3 + 1. Give p(h(k)).
4*k**2
Let g(s) = 82*s - 2. Let j(h) = 8*h**2. Determine j(g(l)).
53792*l**2 - 2624*l + 32
Let t(x) = 4*x - 2. Let y(z) = 17*z - 9. Let b(k) = 9*t(k) - 2*y(k). Let m(n) = -n + 1. Let c(g) = -1. Let q(h) = c(h) + m(h). Determine b(q(i)).
-2*i
Let u(o) = 2*o. Let v(y) = 13*y**2 + 3. Give v(u(d)).
52*d**2 + 3
Let a(p) = 2*p**2 - 3*p - 3. Let k(n) = n**2 - 2*n - 2. Let f(u) = -2*a(u) + 3*k(u). Let w(j) = 4*j**2. What is w(f(y))?
4*y**4
Let b(x) = -5*x**2. Let a(f) = 3. Let l(j) = j**2 - 8. Let c(s) = -8*a(s) - 3*l(s). Determine b(c(p)).
-45*p**4
Let z(c) = -25*c**2. Let h(w) = w - 18. Calculate z(h(x)).
-25*x**2 + 900*x - 8100
Suppose -8 = -2*n - 2*n. Let y(i) = -1 - n*i + 1. Let r(d) = 1. Let x(t) = -t - 1. Let a(b) = r(b) + x(b). Give y(a(m)).
2*m
Let v(j) = -46*j**2. Let d(x) = -2*x. What is d(v(q))?
92*q**2
Let l(i) = -21*i**2. Let x(j) be the first derivative of -j**5/60 + 2*j**3 + 8. Let s(d) be the third derivative of x(d). What is l(s(r))?
-84*r**2
Suppose 2*b - 15 = -b. Let v(a) = 4*a**2 - a**2 - b*a**2. Let i(m) = 