77*m
Let k(a) = 995*a**2. Let f(s) = -s**2 + 30*s. Determine f(k(z)).
-990025*z**4 + 29850*z**2
Let v(w) = -10*w. Let c(d) = -3*d. Let m(a) = -7*c(a) + 2*v(a). Let f(u) be the third derivative of 11*u**5/60 + u**3/2 - 88*u**2. What is f(m(s))?
11*s**2 + 3
Let p(n) = -1688 + 3373 + n - 1685. Let r(b) be the first derivative of 10*b**3/3 + 5. Give p(r(q)).
10*q**2
Suppose x + 5 = -4*y, -22*y - 8 = -4*x - 24*y. Let j(n) be the third derivative of 0 + x*n**2 + 0*n + 0*n**3 + 11/24*n**4. Let i(f) = 2*f**2. Determine j(i(q)).
22*q**2
Let a(j) be the third derivative of j**5/30 + 362*j**2. Let r(x) = -11*x - 2. Give a(r(n)).
242*n**2 + 88*n + 8
Let y(v) = -1107813*v + 11928. Let u(c) = 1487*c - 16. Let n(p) = 1491*u(p) + 2*y(p). Let l(q) = q. What is n(l(w))?
1491*w
Let a(o) = -2*o**2 + 74. Let p(h) be the first derivative of -h**3/3 + 211. Give p(a(x)).
-4*x**4 + 296*x**2 - 5476
Let t(n) be the first derivative of n**3 + 71. Let c(v) = 2*v. Give t(c(s)).
12*s**2
Let w(k) be the second derivative of 3*k**4/2 - 142*k. Let m(f) = -3*f**2. Calculate w(m(h)).
162*h**4
Let n(q) = -2*q. Let p(i) = -20435*i**2. What is n(p(k))?
40870*k**2
Let j(w) = 53*w**2. Let m(z) = -54332*z**2. What is m(j(d))?
-152618588*d**4
Let p(r) be the second derivative of -r**3/3 - 5*r - 6. Let n(v) be the third derivative of 13*v**5/60 - 7*v**2. Determine p(n(g)).
-26*g**2
Let a(b) = 48*b**2. Let x(h) = 1197*h**2. What is x(a(c))?
2757888*c**4
Let o(l) = -l. Let c(h) be the second derivative of 4*h**3/3 + 125*h + 2. Give o(c(u)).
-8*u
Let j(q) = -4*q**2. Let m(y) = -10492*y**2 - 731*y - 1462. Let k(l) = -86*l**2 - 6*l - 12. Let p(g) = -731*k(g) + 6*m(g). What is j(p(x))?
-29584*x**4
Let o(a) = -a**2. Let u(n) = -23255*n**2 + 4. What is u(o(v))?
-23255*v**4 + 4
Let h(j) = -3*j + j + j. Let t(x) = -x**2 + 4852 - 4852. What is h(t(r))?
r**2
Let s(d) = -13*d - 2. Let y(j) = -5*j - 3. Let x(q) = -13*q - 8. Let f(g) = -3*x(g) + 8*y(g). Give f(s(u)).
13*u + 2
Let v(s) be the third derivative of 3*s**5/40 - 7*s**3/6 - 4*s**2. Let m(a) be the first derivative of v(a). Let q(l) = 3*l. Determine m(q(y)).
27*y
Let r(h) = -20*h + 25. Let c(l) = -l + 1. Let f(s) = -s + 1. Let v(o) = -2*c(o) + 3*f(o). Let g(u) = -r(u) + 25*v(u). Let m(i) = i. What is g(m(x))?
-5*x
Let q(k) = 27*k - 12*k - 16*k. Let l(d) = -d**2. What is l(q(w))?
-w**2
Let v(j) = -21*j - 2. Let a(n) = 1974*n + 189. Let c(q) = -2*a(q) - 189*v(q). Let z(k) = 17*k**2. Give z(c(f)).
7497*f**2
Let s(j) = -6*j. Let x(n) be the third derivative of -5*n**4/4 - n**3/6 + 2*n**2 + 109*n. What is s(x(b))?
180*b + 6
Let z(h) = -19*h. Suppose 3*s + j = 15, -11*s - 7*j + 17 = -12*s. Let o(w) be the third derivative of 1/12*w**s + 0 + 0*w**3 + 2*w**2 + 0*w. What is o(z(a))?
-38*a
Suppose -n + 208 = 3*n. Let h(p) = 3*p**2 + n - 52. Let i(t) = -2 + 2 - 2*t**2. Determine i(h(r)).
-18*r**4
Let v(q) be the first derivative of -7*q**2/2 + 495. Let c(z) = -16*z. What is v(c(a))?
112*a
Let x(c) = 265*c**2. Let q(f) be the first derivative of f**3/3 + 732. Give x(q(i)).
265*i**4
Let c(q) be the first derivative of -5*q**3/3 + 110. Let r(z) = 6*z - 5. Let j(x) = 7*x - 6. Let p(l) = 5*j(l) - 6*r(l). Give p(c(m)).
5*m**2
Let a(m) = 349*m - 349*m - 3*m**2. Let y(k) = -k**2 - 4*k - 2. Let f be y(-3). Let b(u) = -u**2. Let w(n) = f*a(n) - 4*b(n). Let s(t) = -4*t. What is s(w(c))?
-4*c**2
Let m(r) = -88*r**2. Let g(p) = -4*p. Let h(b) = -69*b. Let i(q) = -33*g(q) + 2*h(q). Give i(m(y)).
528*y**2
Let u(k) = -3*k**2. Let a(q) = 14229*q - 748. Let z(l) = -153*l + 8. Let x(n) = 2*a(n) + 187*z(n). Determine x(u(t)).
459*t**2
Let u(l) = 4*l - 11. Let q(g) = -3*g + 6. Let a(r) = 11*q(r) + 6*u(r). Let x(i) = -3*i**2. Calculate x(a(c)).
-243*c**2
Let g(m) = 249*m**2 - 10*m - 47. Let n(k) = k. Give g(n(u)).
249*u**2 - 10*u - 47
Let n(k) = 2*k. Let q(l) = -160*l**2 - 909*l. Give n(q(w)).
-320*w**2 - 1818*w
Let x(l) = 2*l - 31. Let g(j) be the second derivative of 0*j**2 + 0*j**3 - 1/12*j**4 - 3*j + 0. Give x(g(q)).
-2*q**2 - 31
Suppose 3*b = 5*o + 31, -5*b + 2*o + 0*o + 20 = 0. Let s(x) = 7*x**2 - 3*x**2 - 9*x**b + x**2. Let g(r) = -r**2. Calculate s(g(v)).
-4*v**4
Let b(p) = -11*p**2. Let q(i) = 3*i - 193. What is b(q(s))?
-99*s**2 + 12738*s - 409739
Let h(d) = -2082 + 2082 + 8*d**2. Let y(j) = 9*j. Calculate y(h(o)).
72*o**2
Let q(v) be the first derivative of 2*v**3/3 - 1. Let r be 13/5 + (-6)/10. Let x(f) = 2*f + 3*f**r - f**2 - 2*f. What is q(x(a))?
8*a**4
Let j(o) = -o**2 - 1738*o. Let q(d) = -63*d. Give q(j(y)).
63*y**2 + 109494*y
Let o(s) = -7*s**2 + 5. Let l(u) = u**2 - 1. Let g(m) = 5*l(m) + o(m). Let v(w) = 4*w**2 + 2*w + 4*w**2 + 4*w**2 - 4*w. Determine g(v(p)).
-288*p**4 + 96*p**3 - 8*p**2
Let w(h) = -h. Let f(z) = z. Let r(u) be the third derivative of -17*u**4/6 - 9*u**2. Let g be -1 - 0/(0 - -3). Let b(s) = g*r(s) - 51*f(s). Give b(w(t)).
-17*t
Let a(u) = -59*u. Let d(h) = 3 - 3 + 277*h + 311*h. Let t(k) = 42*a(k) + 4*d(k). Let w(z) = 2*z. Calculate t(w(m)).
-252*m
Let f(v) be the second derivative of 0*v**2 + 0 + 3*v + 13/12*v**4 + 0*v**3. Let g(b) = -b. Determine g(f(n)).
-13*n**2
Let s(d) = d. Let u(j) = -2*j - 13014. Determine s(u(z)).
-2*z - 13014
Let k(q) be the third derivative of q**4/12 + 76*q**2. Let y(a) = 11*a. Determine y(k(b)).
22*b
Let u(p) = -2*p**2 - 84. Let q(w) = -101*w. What is q(u(n))?
202*n**2 + 8484
Let j(n) = -6*n**2 - 24*n**2 - 23*n**2 + 2*n**2. Let b(g) = 3*g + 5. Let p(c) = c + 2. Let x(m) = -4*b(m) + 10*p(m). Determine x(j(q)).
102*q**2
Let p(h) = 4*h**2 + 3. Let x(z) = 4 - 2 - 397*z**2 + 402*z**2. Let s(i) = 4*p(i) - 6*x(i). Let w(f) = -3*f**2. Calculate w(s(o)).
-588*o**4
Let m(a) = 4*a - 3*a + 2*a. Suppose -6 = -2*i + 5*h, 6 = 2*i + 4*h - h. Let x(n) = -2*n - 4*n**2 + 5*n - i*n. What is m(x(q))?
-12*q**2
Let j(c) = c**2 - 2372*c. Let o(p) = -3*p. Determine j(o(l)).
9*l**2 + 7116*l
Let i(g) = -2*g. Let v(l) be the second derivative of -l**4/12 + l**3/6 - 32*l. Let b(t) = -5*t**2 - 32*t. Let q(j) = -b(j) + 6*v(j). What is i(q(z))?
2*z**2 - 76*z
Let n(p) = -p**2 + 12*p - 88. Let a(m) = 12*m**2. What is n(a(h))?
-144*h**4 + 144*h**2 - 88
Let p(r) = 2*r. Let j(b) be the first derivative of 7*b**5/120 + 4*b**3/3 + 3. Let y(v) be the third derivative of j(v). Calculate y(p(i)).
14*i
Let m(h) be the third derivative of -h**4/24 + 4*h**2 - 35*h. Let u(r) = -11*r**2 + 17. Give u(m(y)).
-11*y**2 + 17
Let d(c) be the third derivative of -19*c**5/60 + 35*c**2 - 13. Let l(n) = 6*n. Calculate l(d(m)).
-114*m**2
Let d(h) = 223*h. Let c(j) = 153*j. What is d(c(n))?
34119*n
Let j(y) be the first derivative of 9*y**3 + 47. Let s(v) be the first derivative of -v**2/2 - 1. Determine s(j(l)).
-27*l**2
Let k(f) = -6*f. Let j(s) be the first derivative of -3*s**3 + 3*s**2 - 11. Let w(h) = 19*h**2 - 13*h. Let d(r) = -13*j(r) - 6*w(r). Give d(k(i)).
108*i**2
Let c(m) = -4*m**2 - 4. Let p(j) = 3*j**2 + 18*j + 2. Let o(g) = 8*g**2 + 45*g + 5. Let y(k) = -4*o(k) + 10*p(k). Give y(c(t)).
-32*t**4 - 64*t**2 - 32
Let l(n) = -n. Let w(b) = 28*b + 7. Let p(d) = 27*d + 8. Let y(q) = 5*p(q) - 6*w(q). Calculate y(l(m)).
33*m - 2
Let f(o) = 12*o**2. Suppose 0 = t, -2*i = -t - 3*t + 12. Let y(c) = -8*c - 6. Let u(z) = z + 1. Let s(b) = i*u(b) - y(b). Calculate f(s(v)).
48*v**2
Suppose 0*v - v + 9 = 0. Suppose -l - 3 = -12. Let a(k) = l + k - v. Let o(g) = 7*g. Calculate o(a(y)).
7*y
Let j(q) = -2*q. Let w(i) = i**2 - 11*i + 34. Let l be w(5). Let n(f) = 4*f**2 + 2*f**2 - 8*f**2 - l*f**2. What is n(j(y))?
-24*y**2
Let t(z) be the second derivative of 2/3*z**3 - 6*z + 0*z**2 + 0. Let q(c) = -7*c - 3 + 6*c + 3. Give q(t(n)).
-4*n
Let a be ((-3)/1 - -4)*3 - 3. Let w(u) = 0*u + a*u + u. Let s(n) = 6*n. Determine s(w(z)).
6*z
Let r(l) = l**2. Let n(f) = 366853*f**2. What is n(r(s))?
366853*s**4
Let g(q) = 2*q. Let w(r) = -7 + 3*r + 13*r**2 + 32*r**2 + 4*r**2. Let c(y) = -25*y**2 - 2*y + 4. Let m(u) = 7*c(u) + 4*w(u). What is m(g(l))?
84*l**2 - 4*l
Let s(t) = 19*t**2. Let i(z) be the third derivative of 0*z**4 - 1/60*z**5 + 0 + 0*z + 0*z**3 - 12*z**2. What is s(i(j))?
19*j**4
Let d be (-16)/96 - 13/(-6). Let g(r) = 5*r**2 + 4*r**2 - 9*r**2 - d*r**2. Let l(a) = -11*a**2. Calculate g(l(b)).
-242*b**4
Let p(c) = 58*c**2. Let i(f) = f + 39. Let d(v) = -v - 52. Let w(