x(c) = -c. Calculate x(u(h)).
-5*h**2 - 59*h
Let g(n) = -2*n. Let o(q) be the first derivative of q**3/6 - 4*q + 5. Let s(m) be the first derivative of o(m). What is s(g(u))?
-2*u
Let x(v) = -v. Let h(i) be the first derivative of i**5/10 + 4*i**3/3 + 5. Let m(b) be the third derivative of h(b). Give x(m(q)).
-12*q
Let j(f) = -6*f + f + 2*f. Let q(d) = 4*d. What is q(j(k))?
-12*k
Let c(q) be the third derivative of -q**6/360 + 5*q**3/6 - 3*q**2. Let h(t) be the first derivative of c(t). Let f(n) = 3*n**2 - 2*n**2 + 0*n**2. Give f(h(v)).
v**4
Let g(d) be the third derivative of 9*d**2 - 1/24*d**4 + 0 + 0*d**3 + 0*d. Let r(w) = -8*w. What is r(g(s))?
8*s
Let z(u) = -9*u + 11. Let t(o) = -5*o + 6. Let r(m) = -11*t(m) + 6*z(m). Let l(x) = 26*x**2. Determine r(l(k)).
26*k**2
Let t(n) = n. Let l(r) be the third derivative of 0*r**3 + r**2 + 0 + 0*r - 1/60*r**5 + 0*r**4. Calculate t(l(q)).
-q**2
Let k(p) = -2*p + 193. Let u(b) = -2*b. Give k(u(y)).
4*y + 193
Let d(i) = i**2. Let k(h) = 27*h + 5. Let n(g) = -432*g - 81. Let t(z) = 81*k(z) + 5*n(z). What is t(d(v))?
27*v**2
Let m(n) be the second derivative of n**3/6 + n. Let c(w) be the first derivative of -w**2/2 - 3. Determine c(m(o)).
-o
Let g(s) = -199*s**2. Let i(k) = 2*k. Calculate g(i(a)).
-796*a**2
Let u(s) = -s. Let y(z) be the first derivative of -z**5/10 - 2*z**3/3 + 6. Let f(r) be the third derivative of y(r). Give u(f(i)).
12*i
Let f(c) = -2*c + 2*c + 8*c + 0*c. Let v(h) = -3*h. Calculate f(v(x)).
-24*x
Let s(k) = 2*k. Let z(j) = -520*j. Give z(s(i)).
-1040*i
Let f(x) = x. Let a(n) be the second derivative of -3*n**4 - n. Calculate f(a(o)).
-36*o**2
Let m be 6/(-9) + (-2)/(-3). Let x(u) = 3 - 3 + 6*u + m. Let v(c) = -2*c**2. What is x(v(y))?
-12*y**2
Let l(o) = -14*o. Let r(p) be the second derivative of 0*p**2 - 1/3*p**3 + 0 + 5*p. What is l(r(m))?
28*m
Let p(c) = -2. Let v(z) = -z - 9. Let j(l) = 9*p(l) - 2*v(l). Let d(f) = -14*f**2. Determine j(d(q)).
-28*q**2
Let t(s) = -2*s**2. Let c(z) = 9 - 2 - 7 - 33*z. Give c(t(k)).
66*k**2
Let i(w) = -w + 2. Let o(y) = 3*y**2 + 4*y - 8. Let z(j) = -4*i(j) - o(j). Let m(k) = 0 + 0 + k. Determine z(m(a)).
-3*a**2
Let p(l) = 5*l**2. Let x(y) = -306*y + 1. Calculate x(p(b)).
-1530*b**2 + 1
Let a(t) = 8*t. Let d(x) = -x - 25. Give a(d(r)).
-8*r - 200
Let h(q) = -79*q**2. Let z(r) = -4*r. Give z(h(j)).
316*j**2
Let d(t) = t - 5*t - 4 + 4. Let f(l) = 2*l**2 - 2*l**2 + l**2. What is f(d(g))?
16*g**2
Let t(o) = o. Suppose 5*y = -0*y + 10. Let i(c) = 3*c**2 + 3*c**2 - 3*c**y. What is t(i(l))?
3*l**2
Let s(u) = u. Let p(n) = 59*n. Give s(p(i)).
59*i
Let z(m) = 501*m. Let p(h) = -2*h. Calculate p(z(n)).
-1002*n
Let n(q) = 2*q**2 - q - 1. Let h be n(4). Let m(g) = 6*g + 3*g + 27 - h. Let t(y) = -2*y. What is t(m(l))?
-18*l
Let g(b) = 4*b + 3. Let j(w) = 11*w + 8. Let r(p) = 8*g(p) - 3*j(p). Let f(d) be the third derivative of d**5/60 + 2*d**2. What is r(f(u))?
-u**2
Let s(y) = 3*y**2. Let a(d) be the second derivative of 0*d**3 + 0*d**2 + 0 - 1/3*d**4 + 3*d. Determine a(s(v)).
-36*v**4
Let p = 15 + -13. Let y(v) = -2 + 2 + 5*v**2 - 3*v**p. Let q(i) = -7*i**2. Determine y(q(d)).
98*d**4
Let a(s) = -s**2 + 1. Let n(b) = 5*b**2. Determine a(n(w)).
-25*w**4 + 1
Let o(t) = -2*t + 5. Let s(m) = m. Determine s(o(h)).
-2*h + 5
Let c(o) be the first derivative of 2*o**3 - 1. Let q(w) be the third derivative of w**5/60 + 131*w**2 - 1. Calculate q(c(g)).
36*g**4
Let k be 1/3*(3 - -3). Let p(w) = -1 - 11*w**k + 1 + 13*w**2. Let l(r) = 27*r + 12. Let s(j) = -11*j - 5. Let h(d) = -5*l(d) - 12*s(d). Give p(h(g)).
18*g**2
Let o(n) = -2*n. Let q(b) = b + 1. Let r = -2 - -5. Suppose 2*y + 5 = -r*y. Let t(s) = -3*s - 6. Let w(d) = y*t(d) - 6*q(d). Calculate o(w(j)).
6*j
Let w = 141 + -139. Let t(n) be the second derivative of 0 + n - 1/6*n**3 + 0*n**w. Let z(k) = -k. Calculate t(z(o)).
o
Let l(f) be the third derivative of -f**5/30 + f**2. Let w(c) be the first derivative of 5*c**3/3 + 23. Determine w(l(y)).
20*y**4
Let b(f) = 2*f. Let z(h) be the third derivative of h**6/360 - h**4/12 + 3*h**2. Let l(i) be the second derivative of z(i). Determine b(l(w)).
4*w
Let d(f) = -4*f**2. Suppose 24 = 4*l + 3*w, 0 = -2*l - 4*w - 9 + 31. Let c(x) = -l*x - 4*x + 6*x. Determine c(d(i)).
4*i**2
Let v(b) be the first derivative of -b**2/2 + 3. Let x(p) = -7*p. Let r(o) = 15*o. Let z(h) = 6*r(h) + 13*x(h). Give v(z(t)).
t
Let b(s) = 92*s - 90*s - 3 + 3. Suppose n = 5*z + 3*n - 6, -z = n. Let o(g) = -2*g**2 + z*g**2 - g**2. What is o(b(a))?
-4*a**2
Let q(k) = -k**2. Let z(d) = 580*d. Determine z(q(w)).
-580*w**2
Let m(a) = 2*a**2. Let j(q) = 36*q**2. Calculate m(j(p)).
2592*p**4
Let p(l) = -4*l - 1. Let t be p(-1). Suppose 5*s + o + 3 = 0, -o = s + 3*s + 3. Let g(w) = s*w**2 - t*w**2 + 2*w**2. Let j(f) = -2*f. Calculate j(g(i)).
2*i**2
Let y(z) = -14*z**2. Let s(t) = -12*t. Give s(y(n)).
168*n**2
Let f(l) = 2*l - 3. Let j(t) = -5*t + 0 - 1 + 3 + 5. Let z(r) = -14*f(r) - 6*j(r). Let n(m) = -2*m**2. Give z(n(p)).
-4*p**2
Let u(x) = -x**2. Let j(q) = -q**2. Let a(r) = -r**2 + 4*r - 2. Let f(t) = -a(t) + 2*j(t). Let k be f(-4). Let h(i) = -2*i**2 + k*i**2 - 2*i**2. Give h(u(v)).
-2*v**4
Let d(v) = 3*v - 5*v - 6*v. Let x(u) = -10*u. Let a(n) = 28*n. Let c(p) = -4*a(p) - 11*x(p). What is d(c(b))?
16*b
Let a(n) = -2*n**2. Suppose 6 = -3*w, 2*u + 5*w + 4 = u. Let v(q) = -3*q**2 + 10*q**2 - u*q**2. Determine v(a(g)).
4*g**4
Let q(b) = -2*b. Let z(y) = 33*y**2. What is z(q(u))?
132*u**2
Let r(x) = 11*x**2. Let y(t) = -2*t**2 + 3*t + 3. Let h(k) = 5*k**2 - 7*k - 7. Let o(n) = -3*h(n) - 7*y(n). Calculate o(r(p)).
-121*p**4
Let z(c) = c + 127. Let w(x) = -x**2. Give z(w(d)).
-d**2 + 127
Suppose 4*t = -w - t + 33, -2*w - 9 = -5*t. Let g be (-6)/w - 44/(-16). Let a(m) = -10*m + g*m**2 + 10*m. Let z(j) = 2*j**2. Determine a(z(o)).
8*o**4
Let k(p) = 52*p - 1. Let g(t) = 7*t. Give k(g(v)).
364*v - 1
Let o(g) = 2*g + 0*g - 4*g. Let d(u) = 2*u**2 + 4*u - 4. Let z be d(-7). Let l(k) = 66 - z - k**2. What is l(o(x))?
-4*x**2
Let o(k) = 15*k**2. Let x(b) = 5*b**2 + 2. Give x(o(v)).
1125*v**4 + 2
Let z(r) be the first derivative of r**5/20 + 9*r**2/2 - 1. Let w(d) be the second derivative of z(d). Let n(c) = 2*c**2. Give n(w(k)).
18*k**4
Let m(y) = 2*y**2. Let s(t) = -9*t**2 + 9*t - 9. Let k(w) = -5*w**2 + 4*w - 4. Let h(r) = 9*k(r) - 4*s(r). Calculate m(h(b)).
162*b**4
Let o(q) be the second derivative of q**3/6 + 3*q. Let s(t) = -4*t. Let z(u) = -2*o(u) - s(u). Let r(f) = -f**2. Determine z(r(h)).
-2*h**2
Let j(v) = 3*v. Let w(r) = 3*r**2 - 4. Let a(n) = 5*n + 5 - 4*n**2 - 5*n. Let h(p) = -4*a(p) - 5*w(p). What is h(j(s))?
9*s**2
Let t(k) = -9*k**2. Let b(y) = 18*y. Give t(b(i)).
-2916*i**2
Suppose 0 = -2*p - 4, 5*p + 0 + 4 = -3*u. Let f(m) = -3*m**3 + 2*m**2 + 2*m + 1. Let h be f(-1). Let c(k) = -h*k + k + u*k. Let q(y) = y. Calculate c(q(g)).
-g
Let d(q) = 581*q**2. Let z(v) = 8*v. What is z(d(h))?
4648*h**2
Let f(g) = -27*g + 1. Let r(s) = -1 - 11 + 12 - 2*s**2. Give r(f(n)).
-1458*n**2 + 108*n - 2
Let g be (-21)/84 + (2/2)/4. Let i(n) be the third derivative of -1/12*n**4 + 0*n + n**2 + g + 0*n**3. Let a(z) = -5*z**2. Determine a(i(k)).
-20*k**2
Let u(v) be the first derivative of 0*v**2 + 0*v - 2/3*v**3 - 2. Let f(h) = -7*h + 6. Let x(t) = -20*t + 17. Let p(a) = -17*f(a) + 6*x(a). Calculate p(u(s)).
2*s**2
Let f(y) = y + 160. Let n(t) = -t**2 - 31. Determine n(f(w)).
-w**2 - 320*w - 25631
Let k = 10 + -6. Let f(v) = 7*v - v - k*v. Let b(a) = 3*a**2. Calculate b(f(y)).
12*y**2
Let a(s) = 4*s**2 - 1. Let p(o) = 6*o. Calculate p(a(h)).
24*h**2 - 6
Let n(y) = 16*y**2. Let a(o) be the second derivative of o**4/6 + 14*o. Calculate n(a(i)).
64*i**4
Let l(m) be the first derivative of 0*m + 1/2*m**2 - 4. Let q(j) = -2*j**2 - 1 + 1. Determine l(q(k)).
-2*k**2
Let k(t) = -9*t**2. Let l(f) = 4*f**2 - 3*f. Let w(y) = -y**2 + y. Let d(i) = -i**3 + 6*i**2 + 7*i + 1. Let o be d(7). Let c(g) = o*l(g) + 3*w(g). Give c(k(p)).
81*p**4
Let l(k) = -k**2. Let w(r) = 84*r**2. What is l(w(p))?
-7056*p**4
Suppose 2*t + 2 = 3*t. Let i(f) = 17*f**t + 16*f**2 - 23*f**2. Let s(n) = -n**2. Determine s(i(l)).
-100*l**4
Let f(l) = -l. Let r(i) = i + 7. Let g(b) = 9. Let t(j) = 5*g(j) - 6*r(j). Calculate t(f(q)).
6*q + 3
Let u(w) = -23*