k) = -48*k + 6*k**2 + 48*k. Let q(n) = -n**2. What is b(q(g))?
6*g**4
Let z(t) be the third derivative of -7*t**4/24 - t**2. Let o(g) = 3*g**2. Determine o(z(w)).
147*w**2
Let t be 2/3*(-132)/(-8). Let p(l) = l**2 + 11*l - t*l. Let n(m) = m. Give n(p(w)).
w**2
Suppose 40 = s + 4*s. Suppose 4*f + 8 = s*f. Let n(h) = -3*h**2 + 2*h**2 - h**f. Let q(l) = -3*l. Give q(n(a)).
6*a**2
Let q(a) = 2*a**2. Let h(v) = 4*v. Let s(b) = -3*b. Let f(n) = 4*h(n) + 3*s(n). Determine f(q(j)).
14*j**2
Let g(a) be the first derivative of -a**2/2 - 7. Let h(w) = 0 - w + 1 - 1. What is g(h(i))?
i
Let k(r) = 13*r**2. Let q(u) = 81*u**2. Give q(k(j)).
13689*j**4
Let k(t) = -27 + 60 + 3*t - 33. Let n(i) be the first derivative of i**3/3 + i + 1. Let s(y) be the first derivative of n(y). Give k(s(w)).
6*w
Let s(n) = 2*n**2 + n - 418. Let t(g) = 2*g**2. Determine s(t(d)).
8*d**4 + 2*d**2 - 418
Let a(y) = -y**2. Let u(m) = -m + 8. What is a(u(h))?
-h**2 + 16*h - 64
Let n(y) = -2*y + 5. Let x(s) = -8*s. Calculate x(n(i)).
16*i - 40
Let j(s) = 20*s. Let k(o) = 4*o**2. What is k(j(i))?
1600*i**2
Let y(w) = -15*w. Let t(k) = -39*k**2. What is y(t(s))?
585*s**2
Let v(l) = -2*l**2. Let o(i) = 276*i. What is v(o(k))?
-152352*k**2
Let h(a) be the third derivative of -a**8/20160 + a**5/20 - 4*a**2. Let y(i) be the third derivative of h(i). Let f(b) = 2*b. Give f(y(g)).
-2*g**2
Let m(n) = -2*n. Let y(f) = 393*f. Determine m(y(h)).
-786*h
Let k(p) = -p**3 - p**2 - p - 2. Let x be k(-2). Let j(z) = 4*z + 3*z - x*z. Let m(s) = 2*s. Determine j(m(b)).
6*b
Let i(u) = 2*u. Let o(a) = a**3 - 5*a**2 + 5*a - 2. Let f be o(3). Let v = -3 - f. Let l(b) = v*b**2 + 1 - 1. Determine i(l(g)).
4*g**2
Let u(i) = -2*i**2. Suppose 3*d - l + 17 = 0, -4*d + 3*l - 26 = l. Let o(q) = 21*q - 27. Let k(x) = 3*x - 4. Let n(j) = d*o(j) + 27*k(j). Calculate n(u(s)).
6*s**2
Let r(y) = -3*y**2. Let x(b) = 17*b**2 - 345 - 343 + 688. Determine r(x(k)).
-867*k**4
Let p(g) be the first derivative of 0*g**2 + 0*g - 1/3*g**3 - 1. Let t(o) = 5*o**2. Give t(p(w)).
5*w**4
Let c(r) = r. Let x(t) = 0*t**2 + 4*t**2 + 4*t**2 + 8*t**2. Calculate x(c(l)).
16*l**2
Let n(o) be the third derivative of o**4/12 + 9*o**2. Let m(s) be the first derivative of -11*s**2/2 - 3. Give n(m(b)).
-22*b
Let g(a) = a. Let j(n) = 340*n. What is g(j(t))?
340*t
Let d(k) = -3*k. Let t(c) = 16*c. Let w(x) = 22*d(x) + 4*t(x). Let h(p) = p. Calculate w(h(l)).
-2*l
Let x(l) = -2*l. Suppose c + 4 = 6. Let p(t) be the second derivative of 0 + 0*t**2 - 1/3*t**3 - c*t. What is p(x(o))?
4*o
Let h(j) = 3*j. Let u(x) = -738*x**2. What is u(h(g))?
-6642*g**2
Let f(o) = -2*o. Let t(z) = z - 1. Calculate t(f(y)).
-2*y - 1
Let z(j) = 2*j. Let m(g) = g + 52. Determine z(m(d)).
2*d + 104
Let q(u) = 0 - 5*u + 6*u + 0. Let i(b) = -2*b**2 + 6*b**2 - 2*b**2. Give i(q(l)).
2*l**2
Let b(x) be the first derivative of 0*x + 0*x**2 + 1/3*x**3 + 1. Let o(h) be the third derivative of h**4/12 + h**2. Calculate b(o(u)).
4*u**2
Let z(n) = -12*n**2. Let s(b) = -59*b. Calculate s(z(d)).
708*d**2
Let v(j) = 3*j. Let o(b) = 9*b**2 - 4*b**2 - 2*b**2. Give o(v(i)).
27*i**2
Let l(u) = -164*u**2. Let y(o) = 7*o. Calculate l(y(s)).
-8036*s**2
Let v(j) = -j. Let h(y) be the second derivative of -y**3/3 + 5*y. Determine v(h(f)).
2*f
Let h(n) = -3*n. Let u(c) be the third derivative of c**5/20 - 20*c**2. What is u(h(i))?
27*i**2
Let y(l) = 11*l**2. Let r(j) be the second derivative of -j**5/60 - 3*j**2/2 - 3*j. Let o(w) be the first derivative of r(w). Determine o(y(g)).
-121*g**4
Let a(z) = -4*z. Suppose -q + 2*p = -p + 7, -19 = -2*q - 5*p. Let d(y) = y**2 + 2*y - 2. Let j(i) = -i + 1. Let x(v) = q*d(v) + 4*j(v). Determine a(x(u)).
-8*u**2
Let n(q) = -5*q**2 + 1 - 1. Let w(d) be the second derivative of d**4/12 + 2*d. Determine w(n(f)).
25*f**4
Let l(n) = 18*n. Let m(w) = 4*w**2. Let g(d) = 2*d**2. Let s(c) = 5*g(c) - 3*m(c). Determine l(s(f)).
-36*f**2
Let d(q) = -18*q**2. Let n(k) = 41*k. Give d(n(z)).
-30258*z**2
Suppose 3*d = -2*d + 15. Suppose d*j = -2*j. Let w(o) = 0*o + j + 3*o + 0. Let a(y) = y. Calculate w(a(v)).
3*v
Let y(z) = z - 2318. Let t(v) = 4*v. What is t(y(a))?
4*a - 9272
Let y(q) = 154*q**2. Let h(r) = 10*r**2. Give y(h(a)).
15400*a**4
Let w(j) = 2*j - 5. Let y be w(5). Let c(t) = 9*t**2 + 5. Let m(d) = 14*d**2 + 8. Let l(p) = y*m(p) - 8*c(p). Let x(k) = 3*k**2. What is x(l(u))?
12*u**4
Let g(d) = -23*d + 26. Let v(a) = 3*a. Give g(v(y)).
-69*y + 26
Suppose -4*h + 9 = 1. Let r(u) be the first derivative of 1/3*u**3 + 0*u**2 - h + 0*u. Let n(a) = -2*a. Give n(r(g)).
-2*g**2
Let z(r) = 2*r**2. Let g(l) = -53*l + 4. Give z(g(a)).
5618*a**2 - 848*a + 32
Let n(q) = -3*q + 3*q - 3*q**2. Let s(x) = x**2 + x - 1. Let p(f) = 15*f**2 + 12*f - 12. Let d(t) = p(t) - 12*s(t). Determine n(d(w)).
-27*w**4
Let p(u) be the first derivative of -34*u**3/3 - 2. Let v(z) = 2*z**2. Calculate v(p(y)).
2312*y**4
Let x(r) = 7*r**2 + 51*r. Let t(i) = 3*i**2. Give x(t(p)).
63*p**4 + 153*p**2
Let s be 0/(3 + (-2 - -1)). Let a(z) = z + 2*z + s*z. Let g(y) = -3*y**2. What is g(a(f))?
-27*f**2
Let g(o) = -2*o. Let z(v) = -12516*v - 2. Give g(z(j)).
25032*j + 4
Let z(j) = 11*j. Let b(w) = 34*w - 3. Calculate b(z(v)).
374*v - 3
Let d(p) = -p. Let x(v) = v**2 - 7*v + 5. Let b be x(6). Let k(h) = -h**2 - 6*h + 6. Let j(u) = -u + 1. Let a(o) = b*k(o) + 6*j(o). What is a(d(z))?
z**2
Let f(m) be the first derivative of -m**5/6 + m**2 + 2. Let t(c) be the second derivative of f(c). Let y(g) = -g. Give y(t(v)).
10*v**2
Let y(q) = -2*q**2. Let c(j) be the second derivative of 35*j**3/3 - 85*j**2/2 + 2*j. Let a(z) = -5*z + 6. Let v(p) = -85*a(p) - 6*c(p). Determine y(v(h)).
-50*h**2
Let r(b) = -2*b. Let u(t) be the third derivative of 0*t + 0*t**3 + 5/24*t**4 + 0 - 2*t**2. Calculate u(r(p)).
-10*p
Let y(w) = -w. Let n(f) be the second derivative of f**4/24 + f**2 - 3*f. Let a(z) be the first derivative of n(z). Calculate y(a(o)).
-o
Let s(f) = -f. Let p = -16 - -8. Let d = 13 + p. Let o(a) = -5 - a + d. Determine s(o(g)).
g
Let x(q) = 2*q. Let r(v) be the third derivative of 0 + 2*v**2 + 13/60*v**5 + 0*v**3 + 0*v + 0*v**4. Give r(x(i)).
52*i**2
Let f(x) = x - x + 40*x**2 - 37*x**2. Let m(z) = 19*z. What is m(f(t))?
57*t**2
Let v(u) = 2*u. Let r(n) = -2640*n**2 + 2. What is r(v(a))?
-10560*a**2 + 2
Let a(o) = -10*o. Let f(p) = -2*p + p + 23 - 23. Give a(f(m)).
10*m
Let s(f) = -13*f + 5*f**2 + 13*f. Let p(k) = 2*k. Calculate s(p(d)).
20*d**2
Let l(p) = 2*p. Let v(j) be the first derivative of -j**3/3 - 6. Give l(v(y)).
-2*y**2
Let y(v) = -v. Let z(m) = 1. Let b(d) = 8*d + 8. Let u(l) = -3*l. Let k be u(2). Let p = 2 - k. Let f(r) = p*z(r) - b(r). Determine f(y(t)).
8*t
Let h(j) be the third derivative of j**5/15 - 4*j**2 + 5*j. Let p(n) = n. Calculate p(h(o)).
4*o**2
Let l(s) = 6*s**2. Let j(q) = 24*q**2. Determine j(l(x)).
864*x**4
Let m(o) = -2*o. Let f(h) be the third derivative of -h**5/30 + 4*h**2. Calculate f(m(b)).
-8*b**2
Let z(j) = -2*j**2. Suppose 5*b + 28 = 4*t + 2*b, 4*t + 3*b = 4. Let h(v) = -v**2 + 3. Let k(p) = -4. Let s(m) = t*h(m) + 3*k(m). Give z(s(a)).
-32*a**4
Let x(a) = 7*a**2. Let p(b) = 2*b**2. Let u(o) = -9*p(o) + 2*x(o). Let v(y) = -2*y. Determine v(u(q)).
8*q**2
Let a(l) = 9*l. Let d(q) be the second derivative of -q**6/720 - q**4/3 - 3*q. Let r(j) be the third derivative of d(j). Determine a(r(b)).
-9*b
Let c(h) = 7*h. Let q(g) = 5 + 3 - 8 + 2*g. Determine c(q(u)).
14*u
Let d(c) = 2*c. Let t(m) = -m**2 - 1. Let y(o) = -36*o**2 - 30. Let z(b) = -30*t(b) + y(b). Determine z(d(h)).
-24*h**2
Let g(w) = -6*w**2. Suppose -2*a - 6 = -5*a. Let p(m) = a*m**2 - 1 - 2 + 3. Give p(g(h)).
72*h**4
Let i(r) = -21*r - 11. Let l(z) = -4*z - 2. Let v(q) = 2*i(q) - 11*l(q). Let m(o) be the first derivative of 0*o**2 - 1 + 2/3*o**3 + 0*o. What is m(v(d))?
8*d**2
Let k(q) = -31*q. Let g(f) = -4*f**2. Give k(g(p)).
124*p**2
Suppose 3*l + 2*j - 26 = -10, j = -l + 7. Let f(z) = 9*z**2 - 6*z**2 - z**l. Let p(x) = -4*x. Give f(p(k)).
32*k**2
Let j(i) = -3*i**2. Let s(n) = n**2 + 2061. Determine s(j(a)).
9*a**4 + 2061
Let g(d) = -2*d**2. Let o(r) = 3*r**2 + 3*r**2 - 7*r**2. Give o(g(m)).
-4*m**4
Let d(q) be the first derivative of -3*q**2/2 + 23*q - 3. Let r(k) = -k**2. Give r(d(p)).
-9*p**2 + 138*p - 529
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