8*d
Let d(b) = -b. Let r(y) = -7*y. Let l(j) = 4*d(j) - r(j). Let p(i) = -11*i. Give p(l(k)).
-33*k
Let n(z) = 4*z - 2. Let w(s) = -s + 1. Let u(q) = -n(q) - 2*w(q). Let f(d) = 4*d. Determine f(u(x)).
-8*x
Let r(h) be the third derivative of 0*h**3 + 0*h**4 - 4*h**2 + 0 - 1/60*h**5 + 0*h. Let u(z) = -8*z**2. Calculate u(r(c)).
-8*c**4
Let j(q) = 783*q**2. Let w(z) = -12*z. Calculate w(j(h)).
-9396*h**2
Let t(m) = m. Let l be (6/(-5))/(4/(-10)). Let g(u) = 2*u**2 - 8*u + 8. Let h(b) = -1 - b**2 - 2 + b + 2*b. Let c(f) = l*g(f) + 8*h(f). Calculate t(c(r)).
-2*r**2
Let v(f) = -1240*f. Let l(h) = 11*h. What is l(v(i))?
-13640*i
Let l(n) be the second derivative of n + 0 + 1/12*n**4 + 0*n**2 + 0*n**3. Let s(d) = 2*d - d - 3*d. Determine l(s(c)).
4*c**2
Let v(i) = -2*i**2. Let q(t) = t. Suppose 2*r = 1 + 7. Let k(z) = 7*z. Let h(w) = r*k(w) - 36*q(w). Calculate v(h(b)).
-128*b**2
Let z(s) = -3*s. Let q(x) be the first derivative of 8*x**2 - 61. Determine z(q(n)).
-48*n
Let c(u) = -112 + 112 + 41*u**2. Let g(p) = -p**2. Calculate c(g(l)).
41*l**4
Let c(z) = -z**2. Let g(d) = -d**3 - 3*d**2 + 4*d + 2. Let h be g(-4). Let k(t) = h*t + t - t. Determine c(k(v)).
-4*v**2
Let p(r) = -6*r. Suppose -3*j + 0*x = -2*x - 2, -4*j + 3*x = -2. Let i(l) = j*l**2 + 26 - 26. What is p(i(s))?
-12*s**2
Suppose -6*u + 4*u = -4. Let n(m) = -3*m**2 - 2*m**2 + 6*m**u. Let c(g) = -10*g + 7. Let o(p) = -9*p + 6. Let v(i) = -6*c(i) + 7*o(i). What is v(n(f))?
-3*f**2
Let t(p) = -2*p. Let u(r) = 4*r. Let y be 4 + 1 - 3 - 13. Let o(a) be the third derivative of a**4/12 - a**2. Let i(c) = y*o(c) + 6*u(c). Calculate i(t(k)).
-4*k
Let i(s) = -2*s**2. Let l(b) = 1296*b**2. Determine i(l(u)).
-3359232*u**4
Let p(f) = -11*f**2 - 2*f. Let m(i) = 5*i**2. What is m(p(l))?
605*l**4 + 220*l**3 + 20*l**2
Let c(u) = u. Let j(i) = 5*i - 2. Let x(b) = -6*b + 3. Let g(h) = 3*j(h) + 2*x(h). What is c(g(n))?
3*n
Let g(l) = -2*l. Let f = -105 - -109. Let k(x) be the third derivative of 0*x**f + 0*x + 0 - 1/20*x**5 + 3*x**2 + 0*x**3. Calculate g(k(s)).
6*s**2
Let r(d) = -585*d**2. Let y(a) = -2*a. Determine y(r(p)).
1170*p**2
Let p(i) = -2*i**2. Let d(o) = 4 - 12 + 15*o**2 + 8. Calculate p(d(x)).
-450*x**4
Let l(b) = -2*b**2. Suppose -2*p = -p. Let g(n) = n + p*n + 2*n - n. Give l(g(a)).
-8*a**2
Let r(o) = -3*o**2. Let a(k) = k**3 + 12*k**2 + 11*k. Let w be a(-11). Let l(q) be the first derivative of 1/3*q**3 + 2 + 0*q**2 + w*q. Give l(r(y)).
9*y**4
Let r(h) = 27*h**2. Let w(o) be the first derivative of o**2/2 + 4. Determine r(w(s)).
27*s**2
Let w(f) = -31*f. Let y(z) = -6*z. Determine y(w(b)).
186*b
Let m(p) = 2*p. Let s(b) = 3*b. Let w(k) = 5*m(k) - 3*s(k). Let q(v) = -5*v - 1. What is w(q(c))?
-5*c - 1
Suppose -4*p + 3*c = -6 - 9, -4*c = 20. Suppose -4*v + 8 = -p*v. Let h(d) = -5*d**v + 5*d**2 - d**2. Let i(g) = g. Determine h(i(j)).
-j**2
Let m(y) = -y - 1. Let b(g) = 8*g + 7. Let r(a) = 2*b(a) + 14*m(a). Let c(h) be the first derivative of 0*h + 5*h - 5*h + 4 - 2*h**3. What is c(r(s))?
-24*s**2
Let s(m) = -m**2. Let u = -40 - -121/3. Let f(k) be the first derivative of 0*k**2 - 2 + 0*k - u*k**3. Determine f(s(r)).
-r**4
Let t(w) = 2*w - 3. Suppose -5*a - 15 = -0*a. Let n(j) = 4*j - 7. Let c(b) = a*n(b) + 7*t(b). Let q(m) = m. Calculate q(c(d)).
2*d
Let u(k) = -k + 2*k**2 + k. Let o(d) = 5*d + 4*d + 2 - 8*d. Let q(j) = -6*j - 11. Let c(s) = 11*o(s) + 2*q(s). Calculate c(u(r)).
-2*r**2
Suppose -2*s = s - 2*z - 2, 5*z = 25. Let x(n) = 7*n - 2*n - s*n. Let d(k) = -k**2. Determine d(x(f)).
-f**2
Let d(s) = -4*s. Let g(w) = 201*w**2. Determine g(d(r)).
3216*r**2
Let x(b) = -b**2. Let d(f) = -8*f + 11. Let j(w) = w - 1. Let s(h) = -d(h) - 6*j(h). Calculate s(x(r)).
-2*r**2 - 5
Let b(s) = 3*s. Let m(g) = -7*g + 1 + 7 - 3. Let l(d) = -2*d + 1. Let r(u) = u - 1. Let k(a) = l(a) - r(a). Let z(v) = -5*k(v) + 2*m(v). Calculate z(b(t)).
3*t
Let x(y) = 2 - 2 - y**2. Let m(z) be the second derivative of z**4/12 - 7*z. Give m(x(w)).
w**4
Let b(p) = -2*p - 3*p - 3*p + 6*p. Let c(l) = -4*l**2. What is c(b(h))?
-16*h**2
Let t(o) = 9*o. Let a(z) = -240*z. Calculate t(a(y)).
-2160*y
Let n(a) = -4*a**2. Let t(f) = f - 1. Let v be t(3). Let c(q) = 2*q**v - q**2 + 3*q**2. Determine n(c(y)).
-64*y**4
Let q(o) = -3*o**2. Let l(y) be the third derivative of -y**5/60 - y**2. Determine l(q(u)).
-9*u**4
Let a(z) = 7*z**2 - 6*z + 6. Let h(i) = -20*i**2 + 17*i - 17. Let w(y) = -17*a(y) - 6*h(y). Let p(l) = -10*l. Determine p(w(s)).
-10*s**2
Let f(a) be the second derivative of a**6/360 - a**3/3 + 2*a. Let u(v) be the second derivative of f(v). Let r(z) = -6*z**2 + 2*z**2 + 0 + 0. Give u(r(i)).
16*i**4
Let m(n) = 0*n + n - n - n. Let j(l) = l + 3. Let o be j(0). Let t(f) = -o*f + f - 2*f. What is t(m(h))?
4*h
Let x(y) be the third derivative of y**8/20160 - y**5/60 + y**2. Let t(q) be the third derivative of x(q). Let v(f) = 2*f**2. Calculate v(t(h)).
2*h**4
Let v(z) = 2*z - 3. Let w(j) = -j + 1. Let m(r) = r**2 - 5*r - 3. Let n be m(5). Let b(c) = n*w(c) - v(c). Let u(k) = 3*k**2. What is u(b(s))?
3*s**2
Let b(c) = 2*c. Let g(l) = 128*l**2 + 2. Calculate b(g(i)).
256*i**2 + 4
Let o(i) = 22*i**2. Let y(q) = -q + 1. Let g(b) = 3*b - 2. Let d(w) = -g(w) - 2*y(w). Determine d(o(j)).
-22*j**2
Let h(z) = 445*z**2 + 7*z. Let m(c) = c. Calculate h(m(a)).
445*a**2 + 7*a
Let a(p) = -4*p**2. Let u(h) = 113*h**2. Give a(u(g)).
-51076*g**4
Let f(n) = -21*n**2. Let t(u) = -2*u + 3. Let z(c) = 3*c - 4. Let l(b) = 4*t(b) + 3*z(b). Calculate l(f(d)).
-21*d**2
Let j(g) = -10*g. Let s(b) = -7*b. Determine j(s(d)).
70*d
Let y(x) = -17*x. Let b(q) be the second derivative of q**4/6 + 20*q. Determine y(b(r)).
-34*r**2
Let l(n) = -55*n. Let u(b) = 4*b. Calculate l(u(p)).
-220*p
Let c(n) be the third derivative of 0 + 0*n + 0*n**3 + 1/12*n**4 - n**2. Let t(u) = -2*u. Give t(c(d)).
-4*d
Let n(w) = -4*w. Let u(g) = -61*g**2. Determine n(u(s)).
244*s**2
Let j(c) = -224*c. Let b(r) = 3*r. Give j(b(h)).
-672*h
Let w(f) be the second derivative of -f**4/6 + 4*f. Let y(m) = 15*m - 33. Let x(c) = -c + 2. Let v(h) = 33*x(h) + 2*y(h). Calculate w(v(k)).
-18*k**2
Let m(q) = 2*q. Let g(x) be the second derivative of 11*x**3/6 + 13*x. Determine m(g(b)).
22*b
Let r(v) = 13282*v + 1. Let o(t) = 2*t. Determine r(o(m)).
26564*m + 1
Let y(z) = -32*z**2. Let o(l) = l**2. What is o(y(t))?
1024*t**4
Let r(p) = -5*p**2 + 3*p**2 + 0*p**2. Let a(g) = 21*g**2. What is a(r(h))?
84*h**4
Let b(u) = -u**2. Let n(i) = -i - 6*i + 2*i + 3*i. Give n(b(x)).
2*x**2
Let y(w) = -3*w. Let m(q) = 12 - 23 + 11 + 2*q**2. What is y(m(g))?
-6*g**2
Let v(c) = 14*c. Let m(k) = -7*k**2. Give v(m(z)).
-98*z**2
Let o(i) = -2*i**2. Let p(u) be the first derivative of -15*u**2/2 + 12. Calculate o(p(y)).
-450*y**2
Let n(p) = -4*p + 8. Let s(w) = -8*w. What is n(s(i))?
32*i + 8
Suppose v = 4*g + 54, -170 = v - 6*v - 5*g. Let u be (-4)/(-14) - v/(-14). Let d(z) = 2*z - 4*z + u*z. Let n(k) = -2*k**2. Calculate d(n(r)).
-2*r**2
Let z(x) = -x. Let m(b) = -9*b**2. Let p(f) = 80*f**2. Let v(q) = 28*m(q) + 3*p(q). Determine z(v(o)).
12*o**2
Let i(o) = -6*o. Let u(x) = -x. Let y(w) = 3*i(w) - 21*u(w). Let h(a) be the second derivative of a**3/6 + a. Determine h(y(t)).
3*t
Let l(w) = -10658*w**2 + 1. Let s(d) = -d**2. Calculate l(s(x)).
-10658*x**4 + 1
Let x(g) = 2*g**2. Let k(w) = 11*w - 11*w - w. Give k(x(c)).
-2*c**2
Let y(s) = -82*s + 42*s + 45*s. Let p(h) = -4*h**2. Determine y(p(v)).
-20*v**2
Let w(k) be the second derivative of 2*k**3/3 - 11*k. Let x(u) = -3*u. Determine w(x(j)).
-12*j
Let a(l) = -l**2 + 82*l. Let c(s) = 3*s. Give c(a(f)).
-3*f**2 + 246*f
Let p(u) = -u - 3*u + 6*u. Let t(s) be the second derivative of -5*s**4/12 + s. What is p(t(v))?
-10*v**2
Let z(f) = -3*f**2. Let y(r) = 1403*r - 1. Calculate z(y(g)).
-5905227*g**2 + 8418*g - 3
Let m(f) = 116*f**2 + 1. Let i(t) = 6*t. What is i(m(b))?
696*b**2 + 6
Let i(s) = -s**2. Let y(l) = l**3 + 5*l**2 + 3*l - 2. Let r be y(-4). Let v(k) = 2 - 2 + 3*k**r - k**2. What is v(i(n))?
2*n**4
Let x be 6/2 + (-1 - -1). Let b(a) = 3 - x + 3*a**2. Let r(c) = -2*c**2. What is b(r(t))?
12*t**4
Let z(f) be the first derivative of 0*f + 4/3*f**3 + 0*f**2 - 1. Let d(a) = a. Calculate d(z(u)).
4*u**2
Let k(c) = 4*c + 3. Let p(g) = 4*g + 1. Calculate p(k(h)