 w(k(g))?
-3*g**4 + 13*g**2 - 116
Let g(w) = 9*w - 6. Suppose 0 = -2*a - 6 - 0. Let d = -9 - a. Let c(h) = -26*h + 17. Let t(x) = d*c(x) - 17*g(x). Let p(i) = 3*i. Give p(t(v)).
9*v
Let j(o) be the third derivative of -o**5/15 - o**2. Let y(z) be the third derivative of z**5/60 + z**2 + 40. Calculate y(j(d)).
16*d**4
Let m(g) = 14*g. Let f(k) = -39*k. Give f(m(y)).
-546*y
Let o(t) = -6*t**2. Let v(h) = -5*h + 6. Suppose -3*j = -2*j + 17. Let q(s) = 14*s - 17. Let r(w) = j*v(w) - 6*q(w). What is r(o(l))?
-6*l**2
Let y(z) = z**2. Let r(m) be the third derivative of m**5/30 - 10*m**2. Calculate y(r(j)).
4*j**4
Let i(x) = 9*x. Let g(m) be the third derivative of -m**5/120 - 7*m**3/6 - 5*m**2. Let n(p) be the first derivative of g(p). Calculate i(n(d)).
-9*d
Let w(y) = 2*y. Let v(m) = 4*m**2 - 6*m. Let s(u) = u. Let p(h) = -6*s(h) - v(h). Give w(p(t)).
-8*t**2
Let i(a) = 20*a**2 - 1. Let h(z) = 13*z**2. Give h(i(s)).
5200*s**4 - 520*s**2 + 13
Let p(k) = 1. Let s(y) = -y + 5*y + 4 - 3*y - 3. Let i(c) = p(c) - s(c). Let u(b) = -8*b + 7. Let w(q) = 7*q - 6. Let v(o) = 6*u(o) + 7*w(o). Determine i(v(z)).
-z
Let j(t) = 2*t**2 + 3. Let r be -1 + -2 + (2 - -2). Let s(d) = d**2 + 1. Let a(f) = r*j(f) - 3*s(f). Let k(x) = 2*x**2. What is k(a(b))?
2*b**4
Let r(a) = -a**2. Let g(j) be the third derivative of -5*j**4/24 - j**3 + 2*j**2. Let f(u) = -5*u - 5. Let w(y) = -6*f(y) + 5*g(y). Calculate r(w(x)).
-25*x**2
Let a(p) be the third derivative of -7*p**4/24 - 13*p**2. Let o(d) = 2*d. What is a(o(i))?
-14*i
Let m(u) = -u**2. Let i = 2 - 0. Let v(g) = 2 - i + 5*g**2 + 0. What is m(v(d))?
-25*d**4
Let u(d) = d. Let k(p) be the third derivative of p**7/2520 - p**5/20 - p**2. Let q(j) be the third derivative of k(j). Give q(u(z)).
2*z
Let m(f) be the third derivative of 61*f**5/60 - 5*f**2. Let y(r) = -r**2. Give y(m(n)).
-3721*n**4
Let d(u) be the second derivative of -u**4/3 + u. Let t(c) = 2*c**2 + 24172 - 24172. What is t(d(z))?
32*z**4
Let f be 0 - (0 + -1 + -1). Let t(d) = 3*d**f + d**2 - 5*d**2. Let p(j) = -7*j + 8. Let k(z) = z - 1. Let y(n) = 24*k(n) + 3*p(n). Give t(y(x)).
-9*x**2
Let b(z) = -14 - 10 + 2*z + 14 - 16. Let g(s) = -s**2. Calculate g(b(y)).
-4*y**2 + 104*y - 676
Let t(y) = 4*y**2. Let v(q) be the third derivative of -q**7/5040 + q**5/20 + 4*q**2. Let j(n) be the third derivative of v(n). Calculate j(t(h)).
-4*h**2
Let h(z) = -24*z**2 - 5. Let c(t) = -2*t**2. Give h(c(u)).
-96*u**4 - 5
Let x(h) = -h. Let u(r) be the first derivative of 15*r**2/2 - 7. Determine u(x(w)).
-15*w
Let d(u) be the third derivative of -u**4/8 - 9*u**2. Let c(h) be the first derivative of -2*h**3/3 + 1. What is d(c(m))?
6*m**2
Let g(i) = 4*i. Let q be g(1). Let t(v) = 0*v + q*v + 0*v - 2*v. Let w(x) = 2*x. What is t(w(o))?
4*o
Let l(t) = -5*t**2. Suppose 0*m = -m + 2. Let a(q) = 2 - m + q. Calculate a(l(j)).
-5*j**2
Let j(c) = -4*c. Let t(s) = 2*s + 19. Give j(t(f)).
-8*f - 76
Let x(h) = -273*h**2. Let a(m) = -4*m**2. What is a(x(t))?
-298116*t**4
Let u(a) = -a. Let k(q) be the first derivative of 4*q**3/3 + 4*q + 6. What is k(u(y))?
4*y**2 + 4
Let a(l) = -2*l + 39. Let r(w) = -2*w - 2. Let g(y) = y**2 - 3*y - 3. Let j(p) = 2*g(p) - 3*r(p). Give j(a(c)).
8*c**2 - 312*c + 3042
Let k(p) = 3*p. Let a(q) = q + 9. Let n be a(-5). Let y(x) = -x**2 - n*x**2 - x**2. Determine k(y(g)).
-18*g**2
Let z(t) = -4*t**2 + 6*t. Let w(p) = -p. Let x(a) = -12*w(a) - 2*z(a). Let f(s) = s. Give x(f(r)).
8*r**2
Let c(d) = -7*d. Let o(f) be the first derivative of -3*f**2/2 - 4. Give o(c(s)).
21*s
Let s(z) = z. Let m(j) = 261*j. Let i(t) = 20*t. Let k(y) = 27*i(y) - 2*m(y). Give s(k(f)).
18*f
Let i(t) = -3*t. Let a(h) = -h + 13. Let r be a(11). Let x(k) = r*k - 3*k + 4*k. Give x(i(j)).
-9*j
Let f(p) = -2*p**2 - 91*p. Let c(m) = -5*m**2. Calculate f(c(z)).
-50*z**4 + 455*z**2
Let m = -9 + 13. Suppose 6 = x + 3*g, -x - 4*g + m + 3 = 0. Let k(c) = x*c + c - c - 2*c. Let z(i) = 3*i. Give z(k(s)).
3*s
Let l(p) = -3*p. Let z(g) = 3*g**2. Let m(v) = -v**2. Let o(a) = -7*m(a) - 2*z(a). Determine o(l(q)).
9*q**2
Let q(o) = -2*o. Let c(j) = j**2 + 4. Let t(f) = 9*f**2 + 33. Let d(n) = -33*c(n) + 4*t(n). Determine d(q(x)).
12*x**2
Let c(q) = -2*q. Let n(d) = -8*d**2 - 38*d. Determine n(c(l)).
-32*l**2 + 76*l
Let n(i) be the first derivative of -9*i**2/2 + 2. Let t(m) = 9*m + 11*m - 22*m. Give n(t(y)).
18*y
Let a(u) be the second derivative of 0 + 0*u**2 + 2*u + 2/3*u**3. Let d(v) = 4*v + 3. Let k(y) = -3*y - 2. Let c(j) = -4*d(j) - 6*k(j). Give a(c(x)).
8*x
Let u(y) = y. Suppose 4*x = -x. Let q(p) be the second derivative of 0 - 2*p + 2/3*p**3 + x*p**2. Calculate q(u(m)).
4*m
Let r(d) = -d. Let l(u) = 2*u. Let g(t) = -2*l(t) - 5*r(t). Let n = -4 - -4. Let z(f) = -4*f + 2*f + n*f. Give g(z(v)).
-2*v
Let m(p) = -p + 6*p - 4*p. Let t(k) = 4*k**2 + 3*k + 3. Let b(l) = -5*l**2 - 4*l - 4. Let d(n) = 3*b(n) + 4*t(n). Give d(m(s)).
s**2
Let w(v) = -6*v. Let s(j) = j + 326. Give w(s(r)).
-6*r - 1956
Let h(u) = 3*u. Let f(x) = -2*x - 1. What is h(f(b))?
-6*b - 3
Let x(b) = -6*b**2 + 9*b**2 - 14*b**2 - b**2. Let y(u) = 3*u**2. Calculate y(x(t)).
432*t**4
Let q(c) be the first derivative of -c**2 + 3. Let n(g) = -5*g. Let v(l) = -2*l. Let b(y) = -3*n(y) + 5*v(y). What is b(q(a))?
-10*a
Let y(d) be the third derivative of 13*d**5/30 + 3*d**2 - 4*d. Let t(b) = 2*b**2. Calculate y(t(u)).
104*u**4
Let y(j) = -2*j**2 + 6*j + 6. Let d(z) = z + 1. Let s(v) = 6*d(v) - y(v). Let m be -1 - -3 - (-3 - -5). Let f(g) = g - g - g + m. Calculate f(s(t)).
-2*t**2
Let p(a) = -4*a - 3. Let x(g) = -3*g - 2. Let b(r) = 4*p(r) - 6*x(r). Let t(m) = 8*m. What is b(t(k))?
16*k
Let z(t) = -5*t - 21. Let c(y) = 2*y. What is z(c(w))?
-10*w - 21
Let o(v) = -21*v**2. Let t(k) = -429 + k + 429. Determine t(o(i)).
-21*i**2
Let h(c) = c**2 + 3*c - 1. Let m be h(-4). Suppose -4*v + 6 = -m*p, -4*p + 2 = 5*v - 21. Let q(b) = 2*b + v*b - 4*b. Let k(u) = -2*u. Determine q(k(a)).
-2*a
Let q(s) = 2*s. Let d(x) = -x**2. What is q(d(g))?
-2*g**2
Let y(m) be the first derivative of m**2/2 + 35. Let l(s) = -s - 2. Determine l(y(t)).
-t - 2
Let i(r) = 2*r**2 - 332. Let w(a) = -a. Determine i(w(g)).
2*g**2 - 332
Let s(p) = -4*p. Let z(i) = -i**2 + 6*i + 9. Let q be z(7). Let g(n) = n**2 - 3*n**2 + 3*n**q + n**2. What is s(g(k))?
-8*k**2
Let u(p) be the third derivative of -p**6/60 + p**3/3 - 2*p**2. Let b(a) be the first derivative of u(a). Let n(d) = d**2. What is n(b(x))?
36*x**4
Let u(m) = -2*m**2. Let q(w) = -219*w + 1. What is q(u(p))?
438*p**2 + 1
Let c(v) = 3*v + 0*v + 2*v - 3*v. Let a(y) = y**2 - y. Let h(j) = 2*j**2 - 3*j. Let r(n) = -6*a(n) + 2*h(n). Give r(c(b)).
-8*b**2
Let p(s) = -2*s**2. Let q(z) be the third derivative of z**5/30 - 5*z**4/24 + 2*z**2. Let y(j) = 6*j**2 - 16*j. Let a(n) = -16*q(n) + 5*y(n). Give p(a(c)).
-8*c**4
Let h(t) = 6*t - 5. Let k(f) be the first derivative of f**2/2 - f - 2. Let i = -3 + 2. Let u(y) = i*h(y) + 5*k(y). Let s(q) = -2*q. Give u(s(v)).
2*v
Let b(k) = -17*k. Let c(z) = -4*z + 21. Determine c(b(i)).
68*i + 21
Let p(r) = r. Let l(n) = 406*n**2 - 6*n. What is l(p(f))?
406*f**2 - 6*f
Let k(y) = 6*y**2. Let x(l) = -40*l**2 - 3. Calculate k(x(h)).
9600*h**4 + 1440*h**2 + 54
Let s(g) = 10*g - 8. Let m(a) = a - 1. Let c(h) = -8*m(h) + s(h). Let x(w) be the first derivative of w**2 + 89. What is c(x(p))?
4*p
Let c(l) = l + 4*l**2 - l. Let i(q) be the first derivative of q**3/6 + 3*q - 2. Let h(y) be the first derivative of i(y). What is h(c(t))?
4*t**2
Let n(a) = a**3 - 6*a**2 + 5*a + 2. Let w be n(5). Let q(z) = 2 - 3 - z**w + 1. Let y(f) be the third derivative of -7*f**4/24 - 2*f**2. What is q(y(p))?
-49*p**2
Let v(p) = 27*p. Let m(a) = -9*a. What is v(m(r))?
-243*r
Let h(r) = -3*r**2. Let u(z) = z + 1. Let y(f) = -f**2 + 6*f + 6. Let m(l) = -6*u(l) + y(l). Calculate h(m(v)).
-3*v**4
Suppose 6*f = 4*f. Suppose -3*j + 5*k - 14 = f, 4*j - 5*j + 6 = k. Let i(g) = -j*g - 2*g**2 + 2*g. Let s(z) = z. Give i(s(y)).
-2*y**2
Let w(m) = m**2. Let n(b) = 9*b. What is n(w(x))?
9*x**2
Let t(b) = 38*b**2 - 2. Let f(g) = 5*g**2 + 1. Determine f(t(s)).
7220*s**4 - 760*s**2 + 21
Let f(o) = -16*o**2. Let h(j) = 18*j**2 + 2. Give f(h(l)).
-5184*l**4 - 1152*l**2 - 64
Let a(x) = 119*x**2 - 4. Let r(c) = -2*c. Give a(r(d)).
476*