*g**4 - 78*g**2
Let r(a) = -41*a**2. Let q(i) = 3*i**2 - 2*i. Let o(s) = -s**2 + s. Let f(t) = 2*o(t) + q(t). Calculate r(f(b)).
-41*b**4
Let x(a) = -17*a**2. Let h(s) = 6*s**2 - 7*s + 7. Let w(k) = 3*k**2 - 4*k + 4. Let i(p) = 4*h(p) - 7*w(p). What is x(i(d))?
-153*d**4
Let m(d) be the third derivative of -d**7/2520 + d**4/8 - d**2. Let q(h) be the second derivative of m(h). Let s(v) = -2*v. Give q(s(i)).
-4*i**2
Let l(y) = -9*y. Let b = 72 + 48. Let r(o) = -120 + b + o**2. What is r(l(s))?
81*s**2
Let v(u) = 2081*u. Let x(j) = -2*j. Calculate x(v(i)).
-4162*i
Let t(o) = o**2. Let b(v) = 2*v + 139. What is t(b(r))?
4*r**2 + 556*r + 19321
Let x(l) = 11*l. Let g(o) = -14*o**2 - 11*o. Let d(z) = 5*z**2 + 4*z. Let y(s) = 11*d(s) + 4*g(s). Calculate y(x(a)).
-121*a**2
Let k(z) = -z + 1. Let w(s) = -9*s**2 + 5*s - 5. Let h(c) = 5*k(c) + w(c). Let p(u) = -u**2. Determine h(p(a)).
-9*a**4
Suppose 0 = g - 4*p + 3*p - 2, -g = -2*p - 2. Let b(y) be the second derivative of -1/2*y**3 + 0*y**2 - g*y + 0. Let l(m) = -m**2. Give l(b(a)).
-9*a**2
Let o(g) be the second derivative of g**3/3 + 5*g. Let f(d) = -d. Let n(k) = -10*f(k) - 4*o(k). Let s(y) = -5*y**2. What is s(n(q))?
-20*q**2
Let m(o) = -o**2 + 8*o**2 - 2*o**2. Let l(j) = -j. Give m(l(a)).
5*a**2
Let p(x) = x**3 - 7*x**2 - 2*x + 13. Let m be p(7). Let f(c) = -c. Let s(j) = -2*j. Let q(b) = m*s(b) - 3*f(b). Let y(v) = -2*v. Determine q(y(i)).
-10*i
Let g(c) = 4*c**2 - 1. Let s(l) = 25*l**2. Calculate s(g(i)).
400*i**4 - 200*i**2 + 25
Let n(f) = 3*f - 2424. Let j(r) = r. Give j(n(z)).
3*z - 2424
Let g(n) = 6*n**2. Let k(y) = 3*y + 0*y - 8*y. Determine g(k(z)).
150*z**2
Let y(j) = -j. Let a(h) = 886*h. What is a(y(b))?
-886*b
Let x(g) = 165*g. Let r(k) = 3*k**2. Give x(r(c)).
495*c**2
Let o(q) be the second derivative of q**3/6 + 19*q. Let i(v) = 6*v. Give o(i(j)).
6*j
Let z = -45 + 65. Let s(j) = -z + 12 - 2*j + 8. Let h(t) = t. What is s(h(r))?
-2*r
Let p(i) be the second derivative of -i**3/6 + 6*i. Let o(y) = 0*y + 0*y + y. Calculate p(o(n)).
-n
Let q(d) = 13*d. Let t(o) be the second derivative of -o**4/3 - 19*o. What is q(t(k))?
-52*k**2
Let m(p) be the third derivative of -p**5/30 + p**2. Let s = -7 + 10. Let h(n) = s*n - 4*n + 5*n. Give m(h(b)).
-32*b**2
Let q = 233 + -147. Let x(a) = -q + 86 - 8*a. Let z(s) = -s. Determine x(z(t)).
8*t
Let m(z) = -60*z**2 + 20*z**2 + 21*z**2 + 20*z**2. Let v(r) be the third derivative of 3*r**5/20 + r**2. Calculate v(m(w)).
9*w**4
Let a(b) = -2*b. Let m(i) = -2*i. Let s(q) = -3*a(q) + 4*m(q). Let h(x) = 3*x + 7. Let n(p) = -2*p - 4. Let c(r) = -4*h(r) - 7*n(r). What is c(s(w))?
-4*w
Let f(a) = -4*a. Let m(h) be the third derivative of -h**5/60 + 9*h**2. Determine f(m(c)).
4*c**2
Let w(f) = -20*f**2. Let h(c) = -530*c**2. Determine w(h(x)).
-5618000*x**4
Let o(j) = 4472*j**2. Let q(a) = 3*a**2. What is o(q(u))?
40248*u**4
Let b(w) = 3*w**2 + 2*w**2 - 25*w**2. Let r(d) = 2*d. Calculate b(r(a)).
-80*a**2
Let r(g) = 4*g. Let a(k) = -2. Suppose -2*f - 11 = -7. Let s(p) = p + 3. Let o(b) = f*s(b) - 3*a(b). Determine r(o(y)).
-8*y
Let y(k) = -k**3 + 6*k**2 + 6*k + 10. Let s be y(7). Let j(c) be the first derivative of 0*c + 1/3*c**s + 1 + 0*c**2. Let p(h) = -h. Determine j(p(x)).
x**2
Let w(f) = -2*f. Let b be (0 + 4)/(5 + -3). Let t(k) = -k**2 + 2*k**2 - 5*k**2 + 3*k**b. Give w(t(o)).
2*o**2
Let k(w) = 626*w. Let f(z) = 2*z. Calculate f(k(r)).
1252*r
Let z(i) be the third derivative of -i**5/120 - i**3/3 + 6*i**2. Let v(w) be the first derivative of z(w). Let m(n) = -10*n**2. What is m(v(q))?
-10*q**2
Let b(n) = n + 1. Let y(r) = r**2 - 3*r - 3. Let m(c) = 6*b(c) + 2*y(c). Let p(d) = 53*d. Give m(p(q)).
5618*q**2
Let l(p) = 2*p. Let c(w) = -30*w + 30. Give l(c(z)).
-60*z + 60
Let l(r) = 194*r**2. Let x(a) = -5*a. What is x(l(u))?
-970*u**2
Let i(h) = 811*h**2. Let o(c) = 3*c. Calculate i(o(f)).
7299*f**2
Let c(j) = 4*j**2 - 5*j. Let d(u) = -10*u**2 + 12*u. Let h = 23 - 11. Let g(b) = h*c(b) + 5*d(b). Let y(t) = t**2. What is g(y(n))?
-2*n**4
Let r(o) = 907*o. Let i(m) = m. What is r(i(t))?
907*t
Let b(y) = y**2 + 1. Let u(v) = -7*v**2 - 6. Let p(d) = 6*b(d) + u(d). Let k(o) be the second derivative of o**3/2 - o. Calculate k(p(z)).
-3*z**2
Let a(c) be the third derivative of -1/12*c**5 + 0 + 0*c**4 - 3*c**2 + 0*c + 0*c**3. Let t(p) = -2*p. Determine t(a(v)).
10*v**2
Let l(q) = -3*q**2. Let n(m) = -40*m**2 + 2. What is l(n(w))?
-4800*w**4 + 480*w**2 - 12
Let h(m) = m**2. Let u(j) be the third derivative of j**8/10080 + j**5/60 + j**2. Let k(n) be the third derivative of u(n). Give h(k(f)).
4*f**4
Let m(w) = 707*w**2 - 1. Let r(q) = 7*q**2. Determine m(r(b)).
34643*b**4 - 1
Suppose 2*u - 15 = -u. Let p(v) = 4 - 4 - u*v. Let n(q) = -q + 0 - 4 + 4. Determine n(p(i)).
5*i
Suppose s - 2*s = 3*d - 14, s = -2*d + 10. Let a(r) = -1 - 1 + 2*r + s. Let w(c) be the first derivative of 5*c**2/2 - 1. Give a(w(i)).
10*i
Let z(o) be the first derivative of 3*o**2/2 + 7. Let x(j) = -6*j**2 + 8*j**2 - 4*j**2 - 4*j**2. What is x(z(p))?
-54*p**2
Let p(s) = s. Let j(g) be the third derivative of -7*g**5/60 + 10*g**2. Determine j(p(c)).
-7*c**2
Let p(x) = 91*x**2. Let m(t) = -4*t**2. What is p(m(u))?
1456*u**4
Let n(b) = -2*b. Let w(h) be the first derivative of -h**2/2 - 27*h - 43. What is n(w(u))?
2*u + 54
Let z(n) be the first derivative of -n**2/2 - 2. Let t(v) = 4*v. Give t(z(m)).
-4*m
Let q(h) = 27*h**2. Let o(n) = -112*n**2. Give q(o(p)).
338688*p**4
Let r(x) = 29*x. Let k(s) = 148*s**2. Calculate r(k(h)).
4292*h**2
Let t(l) = 6*l**2. Let x(r) = 8 + 6 - 5*r - 14. Give x(t(p)).
-30*p**2
Let d(t) be the third derivative of -t**6/720 + t**4/8 - 2*t**2. Let z(f) be the second derivative of d(f). Let y(q) = -4*q. Calculate y(z(a)).
4*a
Let u(f) = 22*f**2. Let l(y) = y. Give u(l(m)).
22*m**2
Let d(y) = y. Let r(v) be the first derivative of -v**2 - 2 + 3 + 0*v**2. Calculate d(r(j)).
-2*j
Let r(i) be the first derivative of i**5/60 + i**2/2 - 1. Let c(p) be the second derivative of r(p). Let l(u) = -4*u + 7*u - 5*u. Calculate l(c(y)).
-2*y**2
Let s(n) = 3*n**2. Let q(l) = 18*l + 24. Let m(d) = d + 1. Let a(j) = 24*m(j) - q(j). Give s(a(p)).
108*p**2
Let i(t) be the first derivative of -3*t**2/2 - 10. Let u(s) = 9*s. Calculate u(i(d)).
-27*d
Let m(p) = -p. Let y(n) = -6*n - 3*n - 4*n - 9*n. What is m(y(l))?
22*l
Let n(f) = -f**2. Let y(h) = 5*h + 32. Calculate y(n(m)).
-5*m**2 + 32
Let v(d) = 6*d**2. Let r(f) = -2 + 0 - 2 + 0 - 2*f. Let p(q) = -q - 1. Let j(z) = 4*p(z) - r(z). Determine v(j(b)).
24*b**2
Let s(w) = 6 + 13*w + 6 - 12. Let x(a) = -4*a**2 + 5*a**2 + a**2 - 3*a**2. What is s(x(z))?
-13*z**2
Let q = 5 - 5. Suppose 0*t = 4*t. Let o(g) = t - 5*g + 0 + q. Let l(r) = -r**2. What is o(l(x))?
5*x**2
Let c(f) = 30*f - 21. Let t(y) = 3*y - 2. Let b(v) = 2*c(v) - 21*t(v). Let k = -8 + 13. Let r(w) = -w - 3*w + k*w. What is r(b(j))?
-3*j
Let s(g) = 6*g**2. Let o(j) = -14*j - 12. Determine o(s(x)).
-84*x**2 - 12
Let o(a) = a. Let y(r) = -23*r**2 - 5*r - 5. Let x(t) = -81*t**2 - 18*t - 18. Let z(d) = -5*x(d) + 18*y(d). Give z(o(f)).
-9*f**2
Let u(y) = -52*y**2. Let f(g) = -12*g**2. What is u(f(c))?
-7488*c**4
Let t(k) = -k**2. Let v be (-6)/27 - 2/(-9). Let r(h) = -2*h + v*h**2 + 2*h - 4*h**2. What is t(r(y))?
-16*y**4
Let u(o) = o**2. Suppose -3*v = -5*w - 21, 0 = 3*v - 4*v - 4*w - 10. Let i(x) = 3*x**2 + x**v - x**2 - 2*x**2. What is i(u(g))?
g**4
Let u(s) = -6*s. Let c(z) = 10*z**2 + 5. What is c(u(p))?
360*p**2 + 5
Let w(j) = 2 + 4 + 5*j**2 - 6. Let n(t) = -3*t. Calculate w(n(i)).
45*i**2
Let o(n) = 3*n - 4. Suppose 3*z + 6 = 3*w, -12 = -5*w - 0*z + 4*z. Let d(f) = 4*f - 5. Let v(q) = w*d(q) - 5*o(q). Let u(c) = -2*c. Determine v(u(x)).
-2*x
Let n = -11 + 7. Let r = 0 - n. Let g(m) = -2*m + 2*m - r*m + 3*m. Let y(b) = -b. What is y(g(i))?
i
Let x(v) = -70*v**2. Let l(a) be the first derivative of -2*a**3/3 + 24. Determine l(x(n)).
-9800*n**4
Let f(v) be the third derivative of -v**7/5040 - v**5/60 - 3*v**2. Let z(i) be the third derivative of f(i). Let p(l) = 1 - l**2 - 1. Determine p(z(s)).
-s**2
Suppose 5 = -5*d + 15. Let h(l) = 2 + l**2 - d*l**2 - 2. Let f(n) = -4*n**2. Determine f(h(m)).
-4*m**4
Let z(d) = 5*d. Let b(u) be the first derivative of u**2/2 + 7. Calculate z(b(x))