Suppose -12 = -a - 5*b, -5*a + 4*b = -2 - 0. Let w(t) = a*p(t) + 3*c(t). Let m(i) = -i**2. Determine w(m(z)).
z**2
Let t(o) = 1947400*o. Let v(h) = -2*h**2. What is t(v(b))?
-3894800*b**2
Let r(j) = -10*j**2 - 3*j. Let a(y) = -19*y**2 - 5*y. Let x be 2/(-3)*(-105)/14*-1. Let o(q) = x*r(q) + 3*a(q). Let s(l) = 3*l. Calculate s(o(p)).
-21*p**2
Let p(b) = 8*b. Let j(y) = 80541*y. Calculate p(j(o)).
644328*o
Let g(a) = -20*a. Let o(u) = -40*u + 10*u + 9*u + 5 - 5. Calculate g(o(y)).
420*y
Let k(w) = 2*w**2. Suppose 4*d + 2*r = 26, -11 - 23 = -5*d - r. Let g(q) = 14*q**2 - 3*q**2 - d*q**2 - 7*q**2. Determine k(g(a)).
18*a**4
Let m(v) = -v**2. Let g(d) be the third derivative of -d**5/30 - 41*d**4/6 - 2*d**2 + 7*d. What is g(m(h))?
-2*h**4 + 164*h**2
Let j(s) = -2*s**2 - s - 2. Let u(k) = -27*k**2 - 18*k - 36. Let l(v) = -18*j(v) + u(v). Let c(o) = 4*o - 2. Determine l(c(w)).
144*w**2 - 144*w + 36
Let n(a) = -10*a. Let c(u) = -62037*u + 62037*u + 3*u**2 + 2*u**2. Give n(c(m)).
-50*m**2
Let y(a) = -2*a. Let d(j) = 84220*j**2. Give y(d(l)).
-168440*l**2
Let k(x) = -3914*x. Let d(n) = 3*n + 68. What is d(k(t))?
-11742*t + 68
Let p(q) = 17*q**2. Let w(i) = -29357*i. Give p(w(x)).
14651168633*x**2
Let n(k) = 44*k - 44*k - 3*k**2. Let f(q) be the second derivative of -q**7/630 - 5*q**4/12 - 2*q. Let l(i) be the third derivative of f(i). What is l(n(u))?
-36*u**4
Let j(n) = -3*n**2. Let s(z) = -2*z. Let x(g) = -2*g - g + g. Let b = -110 + 115. Let r(y) = b*s(y) - 4*x(y). Calculate j(r(q)).
-12*q**2
Let q(c) = -3*c**2. Let k(n) = 44*n**2 + 1. Let d(v) = -1. Let a(l) = -2*d(l) - k(l). Calculate q(a(y)).
-5808*y**4 + 264*y**2 - 3
Let r(l) be the first derivative of -9*l**2/2 + 31. Let a(y) = -6*y**2. Calculate r(a(w)).
54*w**2
Let c(z) = -2*z - 109 + 170 - 87. Let u(l) = -3*l. Give u(c(f)).
6*f + 78
Let o(d) be the second derivative of -d**4/12 + 2*d. Let n(j) = -541 + 1096 + j**2 - 555. Determine o(n(y)).
-y**4
Let p(z) = 19*z. Let q(a) = 7821*a**2. Calculate q(p(d)).
2823381*d**2
Suppose 4*r - 3*f = -24, r - f - 11 = 6*r. Let s(m) = m**2 + 5*m + 5. Let z(q) = -q**2 - 3*q - 3. Let o(l) = r*s(l) - 5*z(l). Let y(i) = -i. What is y(o(j))?
-2*j**2
Let w(y) = -2*y**2. Let l(n) = -6*n**2 - n + 136. What is l(w(o))?
-24*o**4 + 2*o**2 + 136
Let d(q) = q. Suppose -4*a + 4 = -2*a. Let k(u) = -a - 3*u**2 - 5 + 7. What is d(k(s))?
-3*s**2
Let p(h) = -3*h**2 - 2*h**2 - 3*h**2 + 6*h**2. Suppose -s + 2*k - 2 = 0, -3*s - 3*k + 14 = s. Let x(i) = -26 - i + 26 - s*i. Calculate p(x(f)).
-18*f**2
Let z(w) be the first derivative of w**3 + 2. Let v(f) = 2*f - 2. Let h be v(2). Let g(s) = -11 + 11 - h*s. Calculate z(g(m)).
12*m**2
Let q(d) = -22*d**2. Let w(p) = 364*p + 20. Determine w(q(z)).
-8008*z**2 + 20
Let c(k) = -6*k - 3. Let r(o) = -10*o**2 - 2*o - 69. Calculate c(r(z)).
60*z**2 + 12*z + 411
Let o(c) = -c - 3. Let g(w) = 93*w + 9. Let x(t) = -g(t) - 3*o(t). Let p(n) = 3*n**2. What is x(p(z))?
-270*z**2
Let v(b) = 5615*b. Let f(r) = -r**2. What is v(f(w))?
-5615*w**2
Suppose -14*q + 2*u + 6 = -15*q, -q = -5*u - 15. Let r(v) = q*v - 11*v + 4*v. Let n(y) = -4*y. What is n(r(m))?
28*m
Let n(x) = 217*x**2 + 84*x. Let t(d) = d**2. Determine n(t(q)).
217*q**4 + 84*q**2
Let r(g) = 3*g - 4. Let a(o) be the second derivative of 2*o**3/3 - 2*o - 33. What is r(a(y))?
12*y - 4
Let y(v) = -24*v**2 - 25*v**2 + 77*v**2 - 27*v**2. Let f(l) = 4*l**2 - 23. Determine f(y(z)).
4*z**4 - 23
Let r(y) be the first derivative of -y**2/2 + 706. Let t(i) be the second derivative of 25*i**4/6 + i**3/3 + i. What is r(t(u))?
-50*u**2 - 2*u
Let a(y) = -16*y**2. Let i(j) = -47 + 9*j + 39 + 8. Give a(i(q)).
-1296*q**2
Let u(a) = -2*a**2. Let f = 4 - 11. Let h(m) = 9*m - 7. Let s(y) = 3 - y - 4*y + 1. Let g(t) = f*s(t) - 4*h(t). What is g(u(j))?
2*j**2
Let r(o) = o**2. Let s(i) be the third derivative of -i**5/60 + 11*i**4/6 - 24*i**2 - 2. What is s(r(a))?
-a**4 + 44*a**2
Let k(i) be the second derivative of -i**4/12 + 9*i**2/2 - 16*i. Let q(t) be the first derivative of k(t). Let p(v) = -v. Give q(p(c)).
2*c
Suppose -22 = -2*w - 4*h, 3*h = 4*w + 5 - 27. Let f(u) = 0 + 0 + 0*u - w*u. Let z(v) = -v**2. Determine z(f(b)).
-49*b**2
Let j(r) = -285147*r. Let k(v) = v. What is k(j(a))?
-285147*a
Let n(p) = -4*p**2. Let j(i) = 8*i**2 - 12*i. Let u(a) = -4*a**2 + 6*a. Let t(b) = 2*j(b) + 5*u(b). Determine t(n(z)).
-64*z**4 - 24*z**2
Let k(o) = -5*o - 9. Let p(z) be the first derivative of z**2/2 + 87. What is p(k(i))?
-5*i - 9
Let f(k) = -3*k**2 - 12*k. Let w(x) = x. Let c be w(-6). Let l(o) = 2*o**2 + 10*o. Let n(z) = c*l(z) - 5*f(z). Let u(t) = 0*t + 0*t + 7*t. Determine n(u(j)).
147*j**2
Let n(p) = -318*p - 79*p - 460*p. Let r(x) = -x**2. Calculate r(n(m)).
-734449*m**2
Let c(k) = -k**2. Suppose 8*r = 14*r. Let i(p) be the first derivative of r*p - 1/2*p**2 - 4. Calculate i(c(a)).
a**2
Let a(u) = -62*u. Let c(n) = 3388*n**2 - 4*n. Determine c(a(l)).
13023472*l**2 + 248*l
Let x(b) = -10*b**2. Let o(c) = 4*c - 9. Give o(x(y)).
-40*y**2 - 9
Let f(c) = 13*c + 5. Let s(j) = 20*j + 11. Let g(r) = 1. Let i(w) = 3*g(w) - s(w). Let t(p) = -8*f(p) - 5*i(p). Let k(d) = d**2. Give t(k(b)).
-4*b**2
Let s(h) be the first derivative of -3 + 5*h + 1/2*h**2. Let w(q) = -q - 6. Let d(o) = 6*s(o) + 5*w(o). Let y(j) = -17*j**2. Calculate y(d(p)).
-17*p**2
Let o(d) = -5*d. Let x(c) = 21*c - 7*c - 6*c + 7*c + 9. Let k(s) = -2*s - 1. Let a(r) = -9*k(r) - x(r). What is o(a(q))?
-15*q
Let t(o) = 3*o. Let q be (-21)/7 - (-2 + -6). Let b(c) = -7*c - 5. Let n(i) = i + 1. Let a(s) = q*n(s) + b(s). Calculate a(t(f)).
-6*f
Let d(q) = 12*q**2. Suppose 2*b - 3*h + 9 = -2, b - 3*h + 7 = 0. Let f(c) = -3*c**2 - 4. Let o(j) = 7*j**2 + 9. Let v(z) = b*o(z) - 9*f(z). Determine d(v(n)).
12*n**4
Let i(u) = -39*u. Let h(l) be the first derivative of -l**2 + 76. Determine h(i(d)).
78*d
Let c(l) = -l. Let a(z) be the third derivative of 19*z**5/60 + 20*z**2 - 4. Determine a(c(i)).
19*i**2
Let m(i) = -23506*i. Let z(x) = 4*x. Determine m(z(c)).
-94024*c
Let b(x) = -72*x. Let w(l) be the third derivative of 0 + 48*l**2 + 0*l + 0*l**3 - 1/24*l**4. Calculate w(b(k)).
72*k
Suppose 3*h = -12, 3*b + h - 2*h = 10. Let n(u) = b*u - 2*u - 2*u. Let v(p) = -5*p + 16*p - 18*p + 8*p + 6*p. Give n(v(q)).
-14*q
Let f(v) = -v - 16236. Let o(j) = j**2. What is f(o(y))?
-y**2 - 16236
Let n(c) = 4*c. Let y(q) = -20837*q**2. What is n(y(t))?
-83348*t**2
Let w(c) = 23*c + 3. Let h = 103 - 41. Let z(b) = 223 - 59*b - 45*b - h + 1346*b. Let d(n) = 161*w(n) - 3*z(n). Let a(t) = 2*t**2. Determine d(a(i)).
-46*i**2
Let o(k) be the first derivative of -2*k**3/3 - 257. Let m(b) = -308*b**2. Give o(m(r)).
-189728*r**4
Let c(a) = 3*a. Let w(k) = -k. Let j be w(-2). Let q(y) = -7*y - 2. Let l(m) = -1. Let p(o) = j*l(o) - q(o). Calculate c(p(i)).
21*i
Let l = 216 + -212. Let m(k) be the second derivative of 0*k**3 + 0 + 4*k + 0*k**2 + 1/12*k**l. Let h(p) = -5*p**2. What is h(m(z))?
-5*z**4
Let r(f) = 3*f**2. Let t(i) = 77*i. Let m(l) = l. Let n(c) = -126*m(c) + 2*t(c). Determine n(r(k)).
84*k**2
Let y(c) = c. Let p(s) = -30*s**2 + 8 + 13 + 5*s**2 + 8*s**2 - 7*s**2. Determine y(p(g)).
-24*g**2 + 21
Let m(l) = 24*l - 531. Let t(b) = 2*b. What is t(m(v))?
48*v - 1062
Let d(j) be the second derivative of j**4/12 - 68*j**2 + 55*j. Let o(v) = -v. What is d(o(n))?
n**2 - 136
Let r(n) = 2*n**2 + 277*n - 27. Let f(q) = -6*q**2. Give r(f(y)).
72*y**4 - 1662*y**2 - 27
Let w(u) = 2*u**2 - 5*u + 5. Let k(d) = 7*d**2 - 14*d + 14. Let q(c) = -5*k(c) + 14*w(c). Let g(b) = -4*b**2 + 4*b**2 + b**2. Give q(g(a)).
-7*a**4
Let t(d) = -2*d**2. Let l(x) = -2*x**2 + 15520. Give l(t(g)).
-8*g**4 + 15520
Let v(f) = -16*f + 5. Let k(o) = -37*o. Determine v(k(w)).
592*w + 5
Let b(x) = -x. Let s(v) = -51*v + 26*v - 2*v - 41*v - 61*v. Determine s(b(w)).
129*w
Let c(z) = 563*z. Let w(p) = 3*p + 1. Let g(k) = 57*k + 18. Let x(v) = -g(v) + 18*w(v). Determine x(c(j)).
-1689*j
Let z(s) be the second derivative of 1/4*s**4 + 0 + 0*s**3 - 8*s + 0*s**2. Let v(i) = -2*i. Calculate v(z(q)).
-6*q**2
Let a(t) = -1 + t + 1. Let g be -2*(4/6)/((-28)/63). Let o(y) = -y + 3*y - g*y + 2*y. Calculate o(a(q)).
q
Let f(k) = -5*k**2. Suppose -3*r - 4*v = -16 - 6, -2*r - v = -8. Let i(z) = 5*z - r*z - 3*z + z**2. Give f(i(p)).
-5*