a(m) = -4*m**2 - 86*m. Calculate a(d(h)).
-4*h**4 - 86*h**2
Let k(q) = -6*q. Let n(h) be the first derivative of 0*h - 5/2*h**2 + 0*h**3 - 1/12*h**4 - 3. Let v(a) be the second derivative of n(a). Give k(v(w)).
12*w
Let s(f) = f. Let v(t) = 14*t - 167. Let y(l) = 18*l - 167. Let u(p) = 4*v(p) - 3*y(p). What is u(s(x))?
2*x - 167
Let m(f) = 5*f**2. Let h(l) = -186 + 32*l**2 + 57 + 76 + 53. Calculate h(m(u)).
800*u**4
Let g(x) = 2789*x**2. Let o(m) = -m**2 + 72. What is o(g(y))?
-7778521*y**4 + 72
Let p(c) be the first derivative of 2*c**3/3 - 170. Let m(y) = -25*y. Let h(f) = 49*f + 1. Let k(v) = -2*h(v) - 5*m(v). Give p(k(i)).
1458*i**2 - 216*i + 8
Let x(o) be the third derivative of o**5/60 + 7*o**3/3 + 2*o**2. Let k(t) be the first derivative of x(t). Let s(n) = 3*n. Calculate s(k(g)).
6*g
Let a(u) = -4*u**2. Let j(v) be the third derivative of 0*v - 4*v**2 - 2/3*v**3 - 1/24*v**4 + 0. Let h(b) = -2*b - 7. Let y(d) = 4*h(d) - 7*j(d). Give a(y(i)).
-4*i**2
Let b(x) = -1040*x**2. Let j(p) = 16*p. What is j(b(n))?
-16640*n**2
Let u(y) = -15*y. Let t(m) = -100*m. Let v(o) = -9*o. Let z(h) = 4*t(h) - 45*v(h). What is z(u(r))?
-75*r
Let b(j) = 2 + 8*j - 2 - 10*j. Suppose -m - 4*m + 1770 = 0. Let a(h) = -m - h + 3*h + 354. Calculate b(a(u)).
-4*u
Let p(j) = 59*j**2 + 3. Let i(x) = 6*x. What is i(p(a))?
354*a**2 + 18
Let b(o) = 6*o. Let q(r) = -14*r**2 + 5*r. Let i(s) = -76*s**2 + 28*s. Let n(h) = -5*i(h) + 28*q(h). What is b(n(j))?
-72*j**2
Let u(g) = -2*g + 0*g + 0*g. Let p be 4/14 + (-45)/(-63). Let t(x) = 10*x - p - 6*x + 1. What is t(u(n))?
-8*n
Let g(c) = 12*c**2. Let r(u) = 13*u**2 + 7*u - 7. Suppose -2*h - 5 = -h. Let z(y) = 9*y**2 + 5*y - 5. Let s(v) = h*r(v) + 7*z(v). Give g(s(f)).
48*f**4
Let c = -5 + 8. Let b(p) = 3*p + 3 - c + p. Let w(u) = 0*u - 119506 + 4*u**2 + 0*u + 119506. Give w(b(q)).
64*q**2
Let f(o) = 2*o - 239. Let j(w) = -w - 7. What is j(f(a))?
-2*a + 232
Let t(s) = 367*s**2 - s. Let r(m) be the second derivative of -m**4/12 - 2*m + 14. What is t(r(w))?
367*w**4 + w**2
Let o(m) = -125*m**2. Let d(r) = 2*r. Let k(h) = -5*h. Let a(n) = 14*d(n) + 6*k(n). Give a(o(i)).
250*i**2
Let h(y) = y + 4975. Let b(c) = -2*c - 3. Determine h(b(p)).
-2*p + 4972
Let h(w) = 8*w - 33*w - 2 - 43*w + 2. Let i(x) = -7*x**2. Give i(h(a)).
-32368*a**2
Let x(s) = -78*s + 47*s + 22*s + 18*s. Let t(n) = -54*n**2. What is t(x(w))?
-4374*w**2
Let s(o) = 52*o**2. Let h(k) = -102*k - 108*k + 219*k. What is h(s(f))?
468*f**2
Let n(q) = 259*q + 10. Let l(r) = r**2. Determine l(n(t)).
67081*t**2 + 5180*t + 100
Let u(x) be the second derivative of -33*x**4/4 - 2*x + 241. Let i(a) = 4*a**2. Give i(u(w)).
39204*w**4
Let y(r) be the third derivative of 5*r**4/24 - 2*r**2. Let f = -15 + 17. Let t(l) = -4*l**2 + l**2 + 5*l**f. Give t(y(u)).
50*u**2
Let u(f) be the first derivative of -f**2/2 + 87. Let t(s) be the first derivative of 31*s**3/3 + 3. Calculate u(t(m)).
-31*m**2
Let f(x) = -x. Suppose -5*z = 4*r - 28, z - 4*r + 8 = 4. Suppose -4*a + a = -2*j - z, -4*j = -4. Let w(l) = a*l - 3*l + 0 + 0. Determine w(f(b)).
b
Let i(t) = -14*t. Let j(u) = 8840 - 8839 - 5*u - u + 3*u. Give j(i(s)).
42*s + 1
Let u(t) = 2*t - t - 4*t. Let f(h) be the second derivative of -h**7/1260 + 5*h**4/6 + 7*h. Let s(a) be the third derivative of f(a). Give u(s(y)).
6*y**2
Let s(h) = -h**3 - 12*h**2 - 10*h + 13. Suppose b = 3*b + 22. Let l be s(b). Let j(x) = 1 - 1 + 2*x**2 + 0*x**l. Let o(u) = -4*u. Calculate o(j(r)).
-8*r**2
Let x = 71 + -77. Let m(r) = 528*r**2. Let j(d) = -17*d**2. Let p(v) = x*m(v) - 187*j(v). Let b(q) = -q. Give b(p(s)).
-11*s**2
Let a(w) = 1000*w - 2. Let i(k) = -k**2 + 274. What is i(a(x))?
-1000000*x**2 + 4000*x + 270
Let s(j) = -30078*j. Let g(w) = -5*w**2. What is g(s(p))?
-4523430420*p**2
Let h(y) = 8*y. Let b(r) be the second derivative of r**4/4 + r**3/3 - r - 186. What is h(b(u))?
24*u**2 + 16*u
Let u(i) = -24*i**2. Let w(h) be the second derivative of -5*h + 0*h**2 + 0 - 1/6*h**3. What is u(w(a))?
-24*a**2
Let h(z) = -1639*z + 7. Let f(i) = 8*i**2. Determine h(f(u)).
-13112*u**2 + 7
Let h(f) be the second derivative of f**4/3 - 4*f. Suppose 0 = -4*p - 4*o - 12, 5*p - 2 = -3*o - 7. Let y(w) = 8*w**2 + 11*w**2 - 17*w**p. Determine y(h(l)).
32*l**4
Let o(z) = 12*z**2. Let j(c) be the second derivative of 1/4*c**4 + 0*c**2 + 0*c**3 - 3*c + 0. What is o(j(a))?
108*a**4
Let p(z) = -205*z + 106*z + 99*z + 8*z**2. Let t(g) = 2*g**2 + 20*g. What is t(p(k))?
128*k**4 + 160*k**2
Let t(d) = 6*d. Let l(o) = o**2 + 3*o - 6. Let x(c) = c**2 + c - 2. Let k(y) = l(y) - 3*x(y). Determine t(k(g)).
-12*g**2
Let n be (3 + -2)*7 + -1. Let a be (4/(-6))/((-2)/n). Let k(r) = 0 + 0 + 2*r**a + 0*r**2. Let w(x) = -5*x. Calculate w(k(q)).
-10*q**2
Let a(z) = 19*z. Let y(g) be the second derivative of -g**4 - 2*g - 91. Calculate y(a(o)).
-4332*o**2
Let b(s) = 52*s**2. Let x(z) = -7*z**2 - 125960 + 125960. Calculate b(x(c)).
2548*c**4
Let z(i) be the first derivative of -1 + 0*i**2 + 0*i + 4/3*i**3. Let t(q) = -2*q**2. Calculate z(t(k)).
16*k**4
Let p(y) = 5*y**2 - 3*y + 3. Let n(a) = -13*a**2 + 8*a - 8. Let q(l) = -3*n(l) - 8*p(l). Let c(z) = -50*z. Calculate c(q(g)).
50*g**2
Let f(j) be the third derivative of -j**5/60 + j**4/24 + 2*j**2 + 68*j. Let v(x) be the first derivative of -x**2/2 + 2. What is f(v(d))?
-d**2 - d
Let k(a) be the second derivative of a**3/6 - a. Let h(b) be the second derivative of 13*b**4/12 + 3*b - 106. What is h(k(q))?
13*q**2
Let q(x) = -6*x. Suppose -12*w + 10 = -7*w. Let g(u) = -w*u - u - 6*u + 13*u. What is g(q(p))?
-24*p
Let n = 75 - 27. Let k(m) = -26*m + n*m - 21*m. Let p(s) = 3*s. Give p(k(f)).
3*f
Let m be 5/((-165)/6) + (-6)/(-33). Let y(d) = -1038*d + 1038*d - 2*d**2 + m*d**2. Let l(o) = -o. What is y(l(s))?
-2*s**2
Let q(l) = 3*l**2. Let g(v) be the third derivative of 5*v**7/1008 + 7*v**5/20 + 2*v**2 - 4*v. Let k(t) be the third derivative of g(t). Calculate q(k(x)).
1875*x**2
Let s(y) = 27*y**2 + 16*y + 6. Let x(o) = 15*o**2. Determine s(x(c)).
6075*c**4 + 240*c**2 + 6
Let t(w) = 2*w. Suppose -b + 2 = d - 10, -2*b = 5*d - 30. Let v(y) = b*y**2 - 26*y**2 + 10*y**2. Give t(v(o)).
-12*o**2
Let j(r) = 288*r**2 - 134*r**2 - 146*r**2. Let l(k) = -8*k. What is l(j(m))?
-64*m**2
Let n(j) = -7*j. Let k(q) = -q**2 + q - 1. Let a(d) = -6*d**2 + 2*d - 2. Let l(z) = -3*a(z) + 6*k(z). Determine n(l(o)).
-84*o**2
Let u(h) = -18*h - 1. Let n(k) = 18*k + 1. Let a(p) = -6*n(p) - 7*u(p). Let j(g) = 2*g. Calculate a(j(v)).
36*v + 1
Let z(o) = -19*o + 4. Let p(q) be the second derivative of -q**3/2 - q + 198. Determine p(z(r)).
57*r - 12
Let p(l) be the second derivative of 5*l**4/12 + 1375*l. Suppose -3*h = h - 8. Let o(a) = 0*a**h + 4*a**2 - 3*a**2. Determine p(o(b)).
5*b**4
Let q(t) = 2*t**2. Let y(a) be the first derivative of -9/2*a**2 + 0*a**3 + 1/3*a**4 + 11 + 0*a. Let d(o) be the second derivative of y(o). Calculate q(d(c)).
128*c**2
Let j(g) be the first derivative of 57*g**2/2 + 31. Let s(i) = -2*i**2. Determine s(j(l)).
-6498*l**2
Let b(i) = -2*i. Let l(p) = 4475052*p. What is l(b(k))?
-8950104*k
Let z(l) = -6*l. Let a(j) = -837*j**2 - 63. Let q(m) = -27*m**2 - 2. Let k(h) = 2*a(h) - 63*q(h). Give k(z(o)).
972*o**2
Let q(f) = -130*f. Let v(z) = 2331*z. Determine v(q(l)).
-303030*l
Let j(p) = p**3 - 6*p**2 + p - 4. Let z be j(6). Let h(s) = 8 - 6 - z - 3*s. Let r(a) = -a**2. Give h(r(o)).
3*o**2
Let q(s) be the first derivative of -110*s**3/3 - 134. Let f(n) = -n**2. What is q(f(b))?
-110*b**4
Let g(a) = a**2 - 18*a + 20. Suppose -4*c + 51 = -c. Let z be g(c). Let u(i) = -9*i + 3*i + 5*i - z*i. Let x(k) = -4*k**2. Give x(u(w)).
-64*w**2
Let y(q) = -252*q. Let t(k) = 213*k. What is y(t(v))?
-53676*v
Let h(o) = 2*o**2 - 79*o + 3745. Let m(b) = -2*b**2. Determine h(m(g)).
8*g**4 + 158*g**2 + 3745
Let n(r) = -r**2. Let p(z) be the third derivative of z**2 - 1/4*z**4 + 13 + 1/2*z**3 + 0*z. What is n(p(o))?
-36*o**2 + 36*o - 9
Let y(p) = -9*p**2. Let f(j) = 7*j**2 - 3. Let d(v) = -20*v**2 + 10. Let c(s) = 3*d(s) + 10*f(s). What is y(c(a))?
-900*a**4
Let h(b) = 5*b**2. Let i(m) be the first derivative of -5/2*m**2 - 14 + 0*m. Calculate i(h(a)).
-25*a**2
Let r(w) = w + 1. Let z(x) = 6 + 3 + 21*x + 5. Let m(n) = -14*r(n) + z(n). Let k(u) = 46*u - 91*u + 48*