.
6*n
Let b(h) be the second derivative of -1/6*h**3 + 0 + 0*h**2 + 3*h. Let q(k) = k**2 + 0*k + 0*k. Determine b(q(s)).
-s**2
Let d(y) = -274*y. Let m(o) = 17*o**2. Give d(m(k)).
-4658*k**2
Let v(s) = -8*s**2. Let p(t) = 2*t + 182. Give p(v(b)).
-16*b**2 + 182
Let q(h) = -2*h**2. Let l = 8 - 4. Let p(m) = 5*m - m - l*m + 4*m. What is q(p(i))?
-32*i**2
Let f(m) = 14*m**2. Let i(b) be the third derivative of b**5/30 + 5*b**2. What is i(f(o))?
392*o**4
Let m(b) = -7*b**2 + 55. Let p(a) = -8*a. Determine m(p(t)).
-448*t**2 + 55
Let t(w) = -38*w. Let k(u) = 7*u. Determine t(k(q)).
-266*q
Let p(i) = -i**2. Suppose 3*r + 16 = 3*k - r, 0 = 5*k - 4*r - 16. Let v(d) = -d + k*d - 2*d - d. Calculate p(v(o)).
-16*o**2
Let w(u) be the first derivative of u**2/2 + 1. Let m(i) = 0*i - 2*i + 0*i. Determine m(w(d)).
-2*d
Suppose 2*x - 10 = -6. Let c(q) = 2 - 6*q - x + 5*q. Let h(t) = 2*t**2. Determine c(h(p)).
-2*p**2
Let n(y) = 19*y**2. Let w(r) = -16*r. Give w(n(k)).
-304*k**2
Let n = 4 - 5. Let c(d) = 7*d - 4. Let y(a) = -1. Let t(k) = n*c(k) + 4*y(k). Let g(v) = -v. What is g(t(m))?
7*m
Let n(w) = w**2. Let q(f) be the first derivative of 0*f**2 + f + 1 + 1/3*f**3. Let m(h) be the first derivative of q(h). What is n(m(s))?
4*s**2
Let a(z) be the first derivative of -z**2 + 9. Let c(k) = -k**2 - k - 1. Let f(j) = -4*j**2 - 2*j - 2. Let t(x) = 2*c(x) - f(x). Calculate t(a(y)).
8*y**2
Suppose -3*v - 6 = 0, -4*j + v = -3*v - 20. Let w(b) = j + b - 3. Let h(d) = 6*d**2. Determine h(w(k)).
6*k**2
Let c(o) = -o + 106. Let h(v) = 2*v. Calculate c(h(w)).
-2*w + 106
Let r(c) = -2*c**2. Let g = 3 + -1. Let z(y) = 2 - g - 12*y**2 + 7*y**2. What is z(r(n))?
-20*n**4
Let u(f) = -15*f. Let m(d) = -249*d + 2. Calculate u(m(z)).
3735*z - 30
Let r(s) = -2*s - 5570. Let g(v) = -v. Give r(g(n)).
2*n - 5570
Let d be 3 + (-24)/4 + 3. Let l(a) = 2*a + a + d*a - 5*a. Let h(g) = -2*g**2. Determine l(h(b)).
4*b**2
Let h(j) be the third derivative of 7*j**5/20 - 29*j**2. Let b(q) = -q. Determine b(h(a)).
-21*a**2
Let i(x) = 3*x + 16. Let b(g) = 24*g**2 - g. Give i(b(k)).
72*k**2 - 3*k + 16
Let h(i) = i**2. Let t(u) = -6*u + 4 - 1 - 3. Determine t(h(r)).
-6*r**2
Let l(b) = 19*b. Suppose -3*f + 6*f = 15. Let k(i) = -f*i + 0*i + 3*i + i. Give k(l(q)).
-19*q
Let x(g) = 17*g. Let q(o) = -11*o**2 + 3*o. Give q(x(r)).
-3179*r**2 + 51*r
Let o(d) = 2*d**2 - 34 + 34. Let t(r) = -3*r. Determine t(o(q)).
-6*q**2
Let i(o) = -o. Let q(z) = -12*z. Let m(c) = 12*i(c) - 2*q(c). Let a(h) = -h. Determine a(m(l)).
-12*l
Let f(i) = 553*i**2 - 42*i + 42. Let q(n) = -65*n**2 + 5*n - 5. Let m(g) = 5*f(g) + 42*q(g). Let h(y) = -y**2. Calculate m(h(k)).
35*k**4
Let n(u) be the second derivative of u**3/3 - 4*u. Let f(b) = 5*b**2 + 2*b. What is f(n(r))?
20*r**2 + 4*r
Let m(z) = -z. Let c = 239/3570 + -4/119. Let v(j) be the third derivative of -2*j**2 - c*j**5 + 0*j**3 + 0 + 0*j + 0*j**4. Determine m(v(u)).
2*u**2
Let w(p) = -p**3 + 7*p**2 - p + 9. Let f be w(7). Suppose -1 = -3*t + 5. Let o(a) = 3*a**2 + 0*a**2 + t*a**f. Let g(j) = j**2. Give o(g(m)).
5*m**4
Let g(i) = -2*i + 2*i - 2*i. Let y(c) = -c**2 + c + 1. Let n(t) = 9*t**2 - 8*t - 6 + 0*t**2 + 2*t. Let z(p) = n(p) + 6*y(p). Give z(g(u)).
12*u**2
Let c(o) = 3*o - o - o. Let t(v) = -v + 2. Let m(n) = 1. Let d(q) = -2*m(q) + t(q). Determine d(c(b)).
-b
Let c(w) = 4*w. Let v(p) = 3*p**2. Let g = -43 + 29. Let m(f) = -10*f**2. Suppose -3*l = 2*l + 20. Let s(x) = g*v(x) + l*m(x). Calculate s(c(n)).
-32*n**2
Let d be ((-6)/2)/(5/(-10)). Suppose -7*l + 4*l + d = 0. Let c(n) = -2*n**2 + n**2 - 2 + l. Let v(z) = -z**2. What is c(v(j))?
-j**4
Let g(q) = 13*q - 2*q - 219 + 219. Let v(z) = -5*z. Calculate v(g(n)).
-55*n
Let p(b) = b. Let s(y) = 7*y. Let l(o) = o. Let z(v) = 2*l(v) + s(v). What is p(z(r))?
9*r
Let z(y) = 3*y - 4. Let m(p) = 7*p. What is m(z(c))?
21*c - 28
Let p(q) = 23*q**2 + 370*q. Let l(v) = 2*v**2. Calculate p(l(k)).
92*k**4 + 740*k**2
Let c(m) = -18*m**2. Let t(p) = 605*p. Give t(c(r)).
-10890*r**2
Let g(n) = 60*n**2. Let y(w) = 16*w**2 - 4. What is g(y(o))?
15360*o**4 - 7680*o**2 + 960
Let c(f) = 29*f**2. Let b(g) = -9*g**2. What is c(b(n))?
2349*n**4
Let v(k) = 16*k**2. Let p(q) = -2*q**2 + 6*q**2 - 7*q**2. Calculate v(p(y)).
144*y**4
Let s(k) = -5*k. Let a(h) = -28*h**2. What is a(s(t))?
-700*t**2
Let m(t) = -4*t**2. Let h(b) = -4*b. Let d(l) = 5*l. Suppose -p + 0*p = 4. Let x(z) = p*h(z) - 3*d(z). Determine m(x(g)).
-4*g**2
Let f(o) = 2*o. Let g(x) be the second derivative of 1/2*x**2 - 3*x + 1/8*x**4 + 0 + 0*x**3. Let l(r) be the first derivative of g(r). What is f(l(t))?
6*t
Suppose 0 = 3*d - 8*d + 10. Suppose 6*r = d*r + 24. Let h(m) = 6*m + 2*m**2 - r*m. Let w(p) = p**2. Determine h(w(l)).
2*l**4
Let i(m) = -8*m**2. Let k(z) = z + 3. Calculate k(i(y)).
-8*y**2 + 3
Let r(x) = -2*x**2. Let k(p) = -491*p. Give r(k(g)).
-482162*g**2
Let u(z) = -276*z**2 + 1 - 1 + 278*z**2. Let b(g) be the first derivative of -g**2/2 + 1. What is b(u(o))?
-2*o**2
Let h(t) = t**2 + 9*t. Let a be h(-9). Let k(x) = 0 - 11*x**2 + a + 9*x**2. Let l(y) be the first derivative of 5*y**3/3 + 1. What is l(k(j))?
20*j**4
Suppose 4*d = -2*v + 6, d - 1 = -2*d - 5*v. Let o(p) = -2*p - 5*p - 2 + d. Let n(r) = -2*r. Determine n(o(k)).
14*k
Let x(g) = g**2. Let f(j) = -588*j + 5 - 5*j**2 + 588*j. Give x(f(u)).
25*u**4 - 50*u**2 + 25
Let t(m) = -m**2. Suppose 4 = 3*q - 2. Let r(j) = -j + 2*j - q*j. Determine t(r(c)).
-c**2
Let d(b) be the third derivative of -b**5/60 + b**2. Let k(g) = 49 - 98 + 49 + 2*g. Determine d(k(x)).
-4*x**2
Let y(u) = u + 0*u - u + u. Let v(z) be the second derivative of 0 + 0*z**2 + 1/6*z**3 + 2*z. Determine v(y(f)).
f
Let j(f) = 47 + f - 47. Let u(b) = -b**2 + 4*b. Let s(a) = -3*a. Let m(i) = 4*s(i) + 3*u(i). What is m(j(l))?
-3*l**2
Let c(q) be the third derivative of -q**5/2 - 13*q**2. Let i(p) = -2*p**2. Determine c(i(z)).
-120*z**4
Let n(s) = -42*s**2 - 7*s - 13. Let q(j) = 2*j**2. Calculate n(q(h)).
-168*h**4 - 14*h**2 - 13
Let f(y) = y**2. Let v(l) = -313*l**2 + 2. Give v(f(u)).
-313*u**4 + 2
Let j(l) = 2*l. Let u(i) be the first derivative of 4*i**2 + 11. Calculate j(u(t)).
16*t
Let z(c) = -c + 11*c + 33*c + 4*c. Let g(d) = d. Give z(g(v)).
47*v
Let y(g) = 5*g**2 - 4*g**2 + g**2. Let n(p) = -2*p + 6*p - p. Calculate y(n(s)).
18*s**2
Let n(l) = -8*l. Let j(f) = 5*f - 12*f + 8*f. Give j(n(u)).
-8*u
Let w(n) = 9*n - 2*n - 5*n - n. Let c(m) = 6*m - 3. Let f(s) = s - 1. Let y(p) = c(p) - 3*f(p). What is w(y(a))?
3*a
Let z(b) = -2*b. Let j(n) = -3*n**2 + 1. Determine z(j(v)).
6*v**2 - 2
Suppose 5*f = -0 + 10. Let r(x) = -x + x - f*x. Let k(s) be the third derivative of s**5/20 + 3*s**2. Give r(k(y)).
-6*y**2
Let w(h) = -99*h - 44. Let i be (-8)/(-6)*(-31 + -2). Let c(s) = -11*s - 5. Let f(t) = i*c(t) + 5*w(t). Let a(j) = -j**2. What is f(a(d))?
11*d**2
Suppose 36 - 21 = 3*d. Let r(c) = -c - 4*c + 5*c + d*c. Let i(a) = 5*a**2. Give r(i(k)).
25*k**2
Let m(j) = -29*j. Let i(k) be the second derivative of -k**3/6 + 41*k. Calculate i(m(v)).
29*v
Let o(n) = 2*n. Let a(c) = 9*c - 66 + 34 + 32. Give o(a(b)).
18*b
Let n(d) = -d**2. Let h(o) = -120*o**2. Calculate n(h(t)).
-14400*t**4
Let w(j) = 3*j. Suppose -3*u + 7*u = 4. Let r = 3 - u. Let g(y) = 4*y**2 + 2*y**r - y**2 - 4*y**2. Determine g(w(h)).
9*h**2
Let u(j) = -2*j**2. Let p(l) = -2493*l. Give u(p(z)).
-12430098*z**2
Let l(r) be the third derivative of -r**5/60 + 13*r**2. Let x(u) = 12*u**2 - 3*u. Give x(l(g)).
12*g**4 + 3*g**2
Let o(r) = 21*r - 2. Let d(c) = 2*c**2. Calculate o(d(z)).
42*z**2 - 2
Let x(f) = 11*f**2. Let g be (-4)/14 - (-232)/28. Let b(l) = -2*l**2 + g*l**2 - 5*l**2. Calculate b(x(h)).
121*h**4
Let o(t) = 3*t + 25. Let n(w) = -8*w. Give o(n(b)).
-24*b + 25
Let p(f) = 4*f + 8*f - 6*f. Let b(j) be the third derivative of j**4/12 + 3*j**2. What is p(b(n))?
12*n
Let h(m) = 1. Let x(g) = 3*g - 9. Let p(w) = -9*h(w) - x(w). Let z(i) = 3*i. Let d(j) = 12*j. Let c(t) = -5*d(t) + 21*z(t). Determine p(c(n)).
-9*n
Let p(k) = -6*k. Let l(g) = -11*g - 14. Let u(h) = -4*h - 5. Let d(m) = -3*l(m) + 8*u(m). Let s(o) = 3*o + 5. Let v(y) = -5*d(y) + 2*s(y). What is p(v(z))?
-6*z
Let h(o) be the first derivative of o**2/2 - 4. Let w(p) = 11*p**2. Calculate w(h(a)).
11*a**2
Let m(u) = -u + 4. Let 