-690*w**2
Let t(r) = 3*r**2. Let p(g) = g - 2651. Calculate t(p(o)).
3*o**2 - 15906*o + 21083403
Let f(s) be the first derivative of -s**3 + s**2 + 1. Let x(a) = 7*a**2 + 36*a - 6. Let k(y) = -13*y**2 - 66*y + 11. Let o(j) = -6*k(j) - 11*x(j). Give f(o(r)).
-3*r**4 + 2*r**2
Let o(c) = c. Suppose -17 = -5*m + 13. Let j(x) = 11*x - 11*x - m*x. Calculate j(o(s)).
-6*s
Let a(l) = -5*l. Suppose v - 3*v = -62. Let b(k) = -17*k + 184. Let n be b(9). Let z(f) = v - n + 4*f**2. Give z(a(m)).
100*m**2
Let b(j) be the second derivative of -j**3/6 + 4*j. Suppose -5*k = 5*h - 15, -h - k = -6*h + 15. Let z(d) = -5*d + 2*d - 2*d + h*d. Give z(b(v)).
2*v
Let p(o) = 2*o**2 + 4*o + 4. Let r(t) = 6*t**2 + 11*t + 11. Let s(x) = 11*p(x) - 4*r(x). Let a(d) = 7*d**2. What is a(s(c))?
28*c**4
Let l(w) = 31679*w - 1. Let v(g) = -5*g**2. Give l(v(m)).
-158395*m**2 - 1
Let x(w) = -3*w. Let n(g) = 48006*g**2. Give x(n(b)).
-144018*b**2
Let w(m) be the second derivative of 1/3*m**4 - 5*m + 0*m**2 + 0 + 0*m**3. Let i(p) = -4*p. Give w(i(l)).
64*l**2
Let o(x) = 248*x**2 + 22*x - 16. Let h(p) = -82*p**2 - 7*p + 5. Let b(a) = -16*h(a) - 5*o(a). Let d(s) = -3*s. Determine d(b(k)).
-216*k**2 - 6*k
Let m(y) = -80*y - 23. Let z(t) = 304*t - 2. Determine z(m(o)).
-24320*o - 6994
Let w(o) = -2*o. Let v(b) = -306330*b**2. Calculate v(w(d)).
-1225320*d**2
Let a(m) = m. Let t(q) = -q**3 + 9*q**2 - 2*q + 8. Let p be t(8). Let k(v) = 33*v**2 + 27*v**2 - p*v**2. Calculate k(a(i)).
4*i**2
Let z(d) be the third derivative of d**4/4 - d**2. Let w(l) = l**2 + 2*l. Let v(s) = -3*s. Suppose 0*q - 3 = q. Let c(u) = q*w(u) - 2*v(u). Give z(c(a)).
-18*a**2
Let n(v) = 10*v**2 + 6. Let m(l) = l**2 + 1. Let k(c) = 6*m(c) - n(c). Let o(y) = -y**2 + 3 - 3. Give k(o(t)).
-4*t**4
Let x(k) = -72*k + 39*k + 60*k. Let y(f) = 5*f**2. What is y(x(v))?
3645*v**2
Let z(v) = -v**2. Let c(t) = 140833*t. Determine c(z(b)).
-140833*b**2
Let s(p) = -99*p. Let l(t) = -493*t. Let v(r) = -2*l(r) + 11*s(r). Let k(n) = -2*n**2. Determine v(k(y)).
206*y**2
Let r(c) be the third derivative of -5*c**4/12 + 7*c**2. Let x(a) = 7*a. Give x(r(h)).
-70*h
Let p(b) = -10*b - 6. Let d(t) = 32*t + 20. Let m(f) = 3*d(f) + 10*p(f). Let s(r) = -180*r**2. Calculate s(m(y)).
-2880*y**2
Let v(q) = -17*q**2. Let w(j) = 1486*j. Give v(w(t)).
-37539332*t**2
Let y(n) = -169*n. Let q(v) = -v**2 - 112*v - 1. Determine q(y(f)).
-28561*f**2 + 18928*f - 1
Let x(f) = -5*f. Let t(v) = 1595*v. Let s(h) = -41*h. Let k(m) = -116*s(m) - 3*t(m). What is k(x(i))?
145*i
Let o(k) = 3*k**2. Let c(l) = -1142*l**2 + 2*l + 2. Give c(o(i)).
-10278*i**4 + 6*i**2 + 2
Let x(s) be the second derivative of 43*s**3/6 - 2*s - 22. Let q(y) = -y. Determine q(x(f)).
-43*f
Let p(g) = g. Let v(z) = -71 - 15*z**2 + 47*z + 17*z**2 - 47*z. Give p(v(h)).
2*h**2 - 71
Let r(c) = 1949*c**2 - 4*c - 4. Let s(f) = -f. Calculate r(s(q)).
1949*q**2 + 4*q - 4
Let r(z) = 9*z - 51. Let k(p) = -126 - 130 + 2*p - 4*p + 256. What is r(k(t))?
-18*t - 51
Let z(u) = -48*u**2. Let y(r) be the third derivative of -r**4/24 - 5*r**2 + 6. Give y(z(k)).
48*k**2
Let s(c) = -789*c - 1. Let x(k) = 7*k + 46. Calculate x(s(m)).
-5523*m + 39
Let n(k) be the third derivative of 1/15*k**5 + 0*k**3 + 0*k**4 + 0 + 2*k**2 + 0*k. Let u(x) = -x**2 + 77*x - 154*x + 77*x. What is n(u(b))?
4*b**4
Let v(d) be the second derivative of d**4/12 - 46*d + 12. Suppose 0 + 2 = n. Let x(j) = -7*j**2 + n - 2. Calculate x(v(u)).
-7*u**4
Let t(k) = 409 - 2*k**2 - 409. Let q(b) = 4*b**2 - 4*b**2 + b**2. What is q(t(w))?
4*w**4
Let w(z) = -2*z**2. Let k(v) = v**2 + 63*v + 2. Give k(w(q)).
4*q**4 - 126*q**2 + 2
Let t(w) = w**3 - w**2 - 3*w - 1. Let z be t(3). Let v(l) = 0*l - 14*l + z*l + 5*l. Let g(j) be the first derivative of -2*j**3 - 1. Calculate v(g(p)).
6*p**2
Let o(q) = q**2. Let t(k) = k**2 - 53*k - 44. Determine t(o(z)).
z**4 - 53*z**2 - 44
Let s(y) = -y + 29. Let n(u) = -24*u + 50. What is s(n(g))?
24*g - 21
Let f(l) = -4*l**2. Let n(s) = 9 + 3 + 10*s**2 - 12. Determine f(n(q)).
-400*q**4
Let i(a) = a. Let n(o) be the third derivative of -41/24*o**4 + 0 - 10*o**2 + 0*o**3 + 0*o. What is i(n(f))?
-41*f
Let d(a) = -53*a + 2. Let b(l) = -317*l**2. What is b(d(v))?
-890453*v**2 + 67204*v - 1268
Suppose 0 = r + 2*r + 9. Let y(z) = 6*z**2 + 3. Let k(m) = -m**2 - 1. Let p(b) = r*k(b) - y(b). Let f(a) = 28*a + 13*a - 40*a. Calculate p(f(c)).
-3*c**2
Let w(s) = -2*s. Let m(z) = 2*z**2 - 191740*z. Calculate m(w(j)).
8*j**2 + 383480*j
Let s(q) = 300*q. Let n(i) = -638*i. Calculate n(s(a)).
-191400*a
Let g(y) = 162*y**2 + 2*y. Let t(r) = 2*r + 75. What is t(g(k))?
324*k**2 + 4*k + 75
Let z(l) = -l + 840. Let v(b) = -73*b**2 - 1. Determine z(v(x)).
73*x**2 + 841
Let n(c) = -20559*c - 5 + 5 + 20567*c. Let x(d) be the first derivative of -d**2/2 + 5. Calculate n(x(b)).
-8*b
Let t(i) = 380*i**2 - 98. Let r(a) = -2*a. Calculate r(t(z)).
-760*z**2 + 196
Let x(y) = 238*y - 508. Let u(t) = 4*t. Determine u(x(r)).
952*r - 2032
Let u(q) = -q. Let l(b) = 45*b - 55. Let f(o) be the first derivative of -5*o**2/2 + 6*o + 2. Let x(n) = 55*f(n) + 6*l(n). Calculate u(x(h)).
5*h
Let y(p) = -35*p. Let k(o) = 5*o**2 + 292*o - 147*o - 145*o. Give k(y(c)).
6125*c**2
Let z(m) = 11*m. Let k(g) be the first derivative of -1/3*g**3 + 0*g**2 + 0*g - 10. Determine k(z(p)).
-121*p**2
Let p(m) = 12*m. Let x(z) = -29394*z. Determine x(p(f)).
-352728*f
Let b(d) = 162*d. Let g(l) = -l - 10. Calculate g(b(f)).
-162*f - 10
Let l(y) = 2*y**2. Let q(u) = 1 - 126*u + 127*u - 1. Let p(o) = -o**2 - o. Let x(z) = -3*p(z) - 3*q(z). Calculate l(x(v)).
18*v**4
Let f(b) = -3*b. Let j(u) = 13*u - 5. Suppose 15*y + 64 = -11. Let k(c) = -2*c + 1. Let g(w) = y*k(w) - j(w). Calculate f(g(q)).
9*q
Let l(g) = 194 - 194 + 159*g**2 - 184*g**2. Let y(a) be the first derivative of 3*a**2/2 - 1. What is l(y(n))?
-225*n**2
Let r(l) = -10*l**2. Let q(v) = -10*v**2 - v**2 - 68*v**2 - 3*v**2. Give q(r(h)).
-8200*h**4
Let z(y) = -2*y - 10. Let r be z(-4). Let u(o) = o - 2. Let h(q) = -q + 5. Let g(t) = r*h(t) - 5*u(t). Let m(b) = b**2. Determine m(g(n)).
9*n**2
Let v(k) = k - 2. Let p(q) = -q + 3. Let s(i) = 2*p(i) + 3*v(i). Let w(c) be the second derivative of -c**3/3 + 4*c. What is s(w(z))?
-2*z
Let c(i) = 11*i. Let f be 4 - 3/(3/2). Suppose -3*j = 4*x - 22, -12*x + 9*x + 15 = 3*j. Let y(k) = -x*k**2 + 2*k**f + 3*k**2 + k**2. Give c(y(r)).
-11*r**2
Let u(r) = -2*r**2. Suppose -3*m + 4 = -2. Let q(c) = -7*c - 5*c - m*c. Determine q(u(j)).
28*j**2
Let u(i) = 2*i**2 - 166*i. Let b(h) = -1361*h. Give u(b(y)).
3704642*y**2 + 225926*y
Let z(h) = 10*h**2 - 9*h**2 + 0*h**2 + 3*h**2. Let t(r) = -2*r + 2. Let w(u) = 6*u - 7. Let n(v) = -7*t(v) - 2*w(v). Calculate z(n(q)).
16*q**2
Let n(i) = -2*i. Let p(f) be the second derivative of f**4/6 - 30*f**2 - 75*f. Give p(n(y)).
8*y**2 - 60
Let i(d) = -3*d. Let v(o) be the second derivative of o - 1/2*o**4 + 0*o**3 + 0*o**2 + 0. Determine i(v(r)).
18*r**2
Let n(m) = -16*m**2. Let q(j) = -6*j**2 - 3*j**2 - 5*j**2 + 16*j**2. Determine n(q(o)).
-64*o**4
Let b(o) = -7*o. Let j(w) = -14688*w. Give b(j(f)).
102816*f
Let n(t) = -807*t**2. Let c(b) be the third derivative of -b**4/12 - 76*b**2. What is c(n(r))?
1614*r**2
Let g = -4 - -4. Let l(a) = 12*a**2 + 0 + g - 9*a**2. Let m(k) = -2*k**2. What is l(m(d))?
12*d**4
Let b(h) = -6*h. Let c(f) be the third derivative of -f**5/40 - 5*f**3/3 + 5*f**2. Let u(i) be the first derivative of c(i). What is u(b(d))?
18*d
Let g(y) = -6874*y. Let n(r) = 2*r**2. Give g(n(p)).
-13748*p**2
Let n(l) = 2. Let m(i) = 3*i + 18. Let r(p) = -2*m(p) + 18*n(p). Let s(u) = -u**2 - 6*u - 5. Let w be s(-2). Let b(q) = -w + 3 + 0 + 2*q**2. Calculate b(r(v)).
72*v**2
Let n(o) = -2*o**2. Let z(v) be the first derivative of 181*v**2/2 - 204. What is n(z(s))?
-65522*s**2
Let v(r) = 16*r**2 - r. Let s(k) = 58*k**2 - 19*k**2 - 21*k**2 - 21*k**2. What is s(v(n))?
-768*n**4 + 96*n**3 - 3*n**2
Let x(h) be the first derivative of 2*h**3/3 - 22. Let m(j) = -3*j**2. Let u(d) = d**2. Let l be ((-2)/(-2))/((-5)/30). Let w(p) = l*u(p) - m(p). Give w(x(b)).
-12*b**4
Let b(y) be the third derivative of -y**5/30 + 5*y**2. Let r(i) = 20*i**2 - 13. Let l(d) = 10*d**2 - 6. Let t(w) = -13*l(w) + 6*r(w). What is t(b(c))?
-40*c**4
Let x(i) = 24*i. Let l(c) = 