*z
Let r(y) = -63*y + 1. Let w(x) = -3*x**2 - 67*x. Calculate r(w(m)).
189*m**2 + 4221*m + 1
Let b(h) = h. Let s(q) be the second derivative of 4*q**4 + 85*q. What is b(s(i))?
48*i**2
Suppose 5*f - 115 = -0*t - 5*t, -5*t = -2*f - 122. Let d(g) be the first derivative of 0 - 6 - 27*g**3 + t*g**3. Let w(s) = -2*s**2. What is d(w(i))?
-36*i**4
Let j(x) = 3*x. Suppose -y - 13*g + 16 = -9*g, y = -2*g + 8. Let t(c) be the second derivative of y*c**2 + 0 + 6*c + 1/3*c**3. Determine t(j(u)).
6*u
Let s(a) = 3*a. Let b(g) = -136*g + 57. What is b(s(v))?
-408*v + 57
Let b(m) = -90*m. Let z(y) = 1880*y**2. What is b(z(g))?
-169200*g**2
Let w(p) be the first derivative of 8*p**3/3 + 158. Let b(v) = -4*v. What is w(b(x))?
128*x**2
Let r(p) be the second derivative of -p**3/2 + 3*p**2/2 + 54*p. Let q(f) = -f. Give r(q(j)).
3*j + 3
Let p(j) = -5986*j**2. Let t(k) = 4*k - 3. What is p(t(z))?
-95776*z**2 + 143664*z - 53874
Let n(s) = -2*s. Let u(h) be the third derivative of 311*h**5/60 - 208*h**2. Calculate u(n(w)).
1244*w**2
Suppose -56 = 3*x - x. Let p = x + 32. Let g(d) = 1. Let y(t) = t - 4. Let f(c) = p*g(c) + y(c). Let k(j) = 2*j. Give k(f(u)).
2*u
Let o(k) be the first derivative of -7*k**6/360 - 5*k**3/3 - 10. Let a(b) be the third derivative of o(b). Let d(x) = 2*x. Determine d(a(p)).
-14*p**2
Let h(m) = -19*m**2 - m. Let d(x) = -4479*x. What is h(d(u))?
-381167379*u**2 + 4479*u
Let s(n) = 51*n. Let x(c) = 78*c + 36*c - 120*c. Give s(x(z)).
-306*z
Let h(u) = -56*u**2. Let m(b) = -32*b + 399. What is m(h(z))?
1792*z**2 + 399
Let a = 5 + 0. Suppose -a*p - u = -27, -5*p + u + 2*u + 19 = 0. Let q(i) = 0*i - p*i + 3*i - 5*i. Let j(o) = o. Calculate q(j(w)).
-7*w
Let c(p) = p**2 + 2*p. Let k(j) = -3*j**2 - 4*j. Let x(b) = 2*c(b) + k(b). Let n(v) = 15*v + 1. Give x(n(d)).
-225*d**2 - 30*d - 1
Let w(x) = -591*x**2 - 18*x + 9. Let b(y) = -148*y**2 - 4*y + 2. Let r(h) = 9*b(h) - 2*w(h). Let i(s) = -2*s. Calculate i(r(t)).
300*t**2
Let v = 4 - 2. Let l(k) = -15*k**2 - 16*k**v + 32*k**2. Let p(n) = -16*n**2. What is p(l(g))?
-16*g**4
Let z(s) = -6*s**2. Let v = -27 - -35. Let g(u) = -8*u + 0*u + u + v*u. Give z(g(a)).
-6*a**2
Let d(l) = -89*l**2. Let b(u) be the third derivative of u**5/15 - 19*u**2 - 4*u. Calculate b(d(o)).
31684*o**4
Let u(a) = 8*a. Suppose 10*f - 5*f = 2*p + 22, 5*f - 3*p - 23 = 0. Let y = 31 + -27. Let z(t) = -t + y*t - f*t. Give z(u(q)).
-8*q
Let g(s) be the first derivative of -s**2 + 1. Let r(b) = 19*b**2 + 15*b - 5. Let o(z) = 10*z**2 + 9*z - 3. Let i(u) = 5*o(u) - 3*r(u). Give i(g(q)).
-28*q**2
Let r(m) = -907*m. Let o(i) = 5*i**2 + 7*i. Calculate o(r(p)).
4113245*p**2 - 6349*p
Let y(h) = 2*h**2. Let d be 9/(-3) + (1 - -23). Let q(a) = 12*a + 24*a + d + 2*a + a. Let u(r) = -4*r - 2. Let b(g) = 2*q(g) + 21*u(g). Give b(y(k)).
-12*k**2
Let v(i) = -i**2 - 589. Let p(d) = 11*d + 3. Calculate v(p(y)).
-121*y**2 - 66*y - 598
Let n(k) = 2*k**2. Let p(l) = 25*l - 13. Let u(w) = 49*w - 23. Let c(j) = 11*p(j) - 6*u(j). Determine n(c(g)).
722*g**2 + 380*g + 50
Let p(x) = 7*x - 4. Let m(w) = -13*w + 55. Let u(r) = -19*r + 88. Let l(h) = 8*m(h) - 5*u(h). What is l(p(s))?
-63*s + 36
Let r(c) = 5*c. Let g(d) be the second derivative of 47*d**4/12 + 10*d. Give g(r(z)).
1175*z**2
Let j(o) = 7*o**2 + 5*o - 5. Let y(k) = -2*k + 4*k**2 + 2 - 2*k**2 - 5*k**2. Let r(b) = -2*j(b) - 5*y(b). Let f(c) = -2298 + 4*c**2 + 2298. Give r(f(a)).
16*a**4
Let t(k) = 1596*k**2 + k - 2. Let d(p) = 47*p - 2. Give d(t(y)).
75012*y**2 + 47*y - 96
Let a(c) = 2*c**2 - 45*c. Let g(u) = 21989*u. Determine g(a(h)).
43978*h**2 - 989505*h
Let k(z) = -4*z. Suppose -3*f + 2*f = -b + 10, -5*f - b - 26 = 0. Let x(j) = -2*j - 9. Let d be x(f). Let h(s) = -2*s + 8*s - d*s. Give h(k(n)).
-12*n
Let m(p) = -9*p**2. Let v(g) = 2*g + 1. Let w(i) = 30*i + 14. Let y(d) = -70*v(d) + 5*w(d). Determine y(m(q)).
-90*q**2
Let w(p) = 108*p**2 - 3*p - 230*p**2 + 119*p**2 + 3*p. Let u(n) = -3*n + 6. What is u(w(s))?
9*s**2 + 6
Let o(j) = -14*j**2 + 2*j - 2. Let u(r) = -6*r**2 + r - 1. Let l(n) = -o(n) + 2*u(n). Let y(a) = -48*a**2. Determine l(y(k)).
4608*k**4
Let u(p) be the second derivative of -p**3/6 + 1806*p. Let m(h) be the second derivative of -13*h**3/6 - h. Calculate m(u(k)).
13*k
Let x(l) = l**2. Suppose 4*m - 25 + 9 = 0. Suppose 0 + 8 = m*v. Let o(i) = 4*i**2 + 2*i**2 + 3*i**v. Give x(o(y)).
81*y**4
Let u(g) = 124*g - 1. Let l(w) = -3*w - 1527. Calculate l(u(h)).
-372*h - 1524
Let t(a) = -33*a**2. Let j(v) = 1810*v. Calculate t(j(k)).
-108111300*k**2
Let t(p) = 10*p + 5*p + 4*p - 22*p. Let i(a) = 2*a + 48. What is i(t(n))?
-6*n + 48
Let m(a) = 12*a**2. Let n(u) be the first derivative of -u**4/3 - 42*u + 29. Let s(l) be the first derivative of n(l). Give s(m(f)).
-576*f**4
Let n(q) = -24154*q. Let p(h) = -2*h - 19. Give n(p(j)).
48308*j + 458926
Let r(w) = -1018*w**2. Let c(b) = -2*b**2. What is r(c(f))?
-4072*f**4
Let x(o) = o**2 + 6. Let d(p) = p**2 + 5. Let a(n) = 6*d(n) - 5*x(n). Let t(c) = -8*c. What is a(t(z))?
64*z**2
Let p(z) = -1003*z. Let n(v) = 2*v. What is n(p(l))?
-2006*l
Let k(p) = -634*p**2 + 1047 - 1047. Let w(q) = -q**2. Determine k(w(z)).
-634*z**4
Let b(t) = -2*t. Let f(o) = 186*o**2 - 152*o**2 + 62*o**2. Determine f(b(q)).
384*q**2
Let q(t) = -139*t. Let h(u) = -u + 131701 - 131701. Give q(h(r)).
139*r
Let h(o) = -2*o**2. Let d(s) = -382808*s. What is d(h(a))?
765616*a**2
Suppose 51 = 2*z - z. Let t(k) = -z*k + 121*k - 62*k. Let d(r) = 3*r**2 - 3*r**2 + r**2. Determine t(d(c)).
8*c**2
Let v(j) = 2*j. Let y(w) = 40*w. Suppose z = -4*z + 50. Let n(c) = 13*c. Suppose 0 = 2*i - 3 + 9. Let m(h) = i*y(h) + z*n(h). What is v(m(g))?
20*g
Let p(u) be the second derivative of u**4/4 + 7*u**2/2 - 9*u. Let r(o) be the first derivative of p(o). Let k(v) = -2*v. Determine k(r(y)).
-12*y
Let v(h) = 51*h + 8*h + 74*h - 16*h + 10*h. Let a(x) = -x. What is a(v(f))?
-127*f
Suppose -26*f + 30*f = 32. Suppose 0*g + f = g. Let d(r) = 3*r - 8. Let t(l) = l - 3. Let o(b) = g*t(b) - 3*d(b). Let m(x) = 8*x. Determine o(m(i)).
-8*i
Let y(m) be the third derivative of -17/60*m**5 + 0*m**3 + 0 + 0*m**4 + 0*m + m**2. Let v(n) = n**2. Determine y(v(k)).
-17*k**4
Let a(x) be the first derivative of 7*x**2 - 256. Let r(w) = -14*w. Determine r(a(d)).
-196*d
Suppose -1 = 3*s - 13. Let p be -1*(0 - s - 1). Let z(h) = 4*h**2 - p*h**2 - 14*h**2. Let m(v) = -2*v**2. What is z(m(d))?
-60*d**4
Let v = 103 + -61. Let p(o) = v*o - 77*o + 34*o. Let a(g) = -2*g**2. Calculate p(a(r)).
2*r**2
Suppose -3 - 5 = -4*c, 4*c = 3*l - 19. Let z(r) = 13*r - l*r + 7*r**2 - 4*r. Let y(n) = 3*n**2. Calculate z(y(x)).
63*x**4
Let l(j) = 40*j**2. Let f(c) = 54*c. Give f(l(o)).
2160*o**2
Let x(u) = -2*u. Let t(q) = 75*q - 2*q**2 - 72*q + 3 - q**2. Let l(o) = -3*o**2 + 2*o + 2. Let f(d) = 3*l(d) - 2*t(d). Determine f(x(c)).
-12*c**2
Let j(t) be the first derivative of 40*t**2 + 362. Let f(d) = -3*d. Calculate f(j(m)).
-240*m
Let g(t) = -2*t - 5. Let c(v) = 295*v**2 - 1. Give g(c(o)).
-590*o**2 - 3
Let f(g) = -9*g**2 + 2*g + 2. Let s(u) = -242*u**2 + 55*u + 55. Let b(i) = -55*f(i) + 2*s(i). Let y(t) = 2*t + 18. What is y(b(o))?
22*o**2 + 18
Suppose 8 + 0 = 4*t. Let x(v) = -7 + 2*v**t - 4 + 11. Let n(c) = -8*c. Give n(x(k)).
-16*k**2
Let q(y) = -35*y. Let s(h) = 3736*h. Give q(s(p)).
-130760*p
Let y(r) = 5*r - 3. Let a be y(-6). Let z = 35 + a. Let i(p) = -7*p**2 + 19*p**z - 12*p**2 - 6*p**2. Let k(w) = 3*w. What is k(i(f))?
-18*f**2
Let k(n) = -n**2. Let q(v) be the third derivative of -2*v**4/3 + 13*v**3/6 - 3*v**2. Let f(u) = 4*u - 3. Let o(s) = -26*f(s) - 6*q(s). Give k(o(c)).
-64*c**2
Let d(l) = -l - 2. Let m(f) = -2. Let g(r) = -2*d(r) + 2*m(r). Let o(w) = -4*w**2. Let z(s) = -2*s**2. Let p(q) = 2*o(q) - 3*z(q). Calculate p(g(n)).
-8*n**2
Suppose 3*v + 2*v - q = 1, v - 3*q - 3 = 0. Let c(d) = v - 2*d**2 + 0 + d**2. Let j(r) = -3*r. Determine j(c(h)).
3*h**2
Let z = 376 - 257. Let x(q) = 119 + 20*q**2 - z. Let h(f) = -2*f**2. Determine h(x(g)).
-800*g**4
Let a(y) = -y + 28. Let r(x) be the first derivative of -x**2/2 - 20. Give a(r(p)).
p + 28
Let h(s) = s**2. Let l(o) = -2*o**2. Let v(y) = -10*h(y) - 4*l(y). Let n(t) = -44*t**2 + 82*t**2 - 31*t**2. Determine v(n(m)).
-98*m**4
Let q(g) = 15*g**2. Let u(d) be the second derivat