. What is p(f(r))?
-198*r + 11
Let f(c) = -18*c**2 - 36*c - 25. Let i(b) = -8*b**2. Calculate f(i(a)).
-1152*a**4 + 288*a**2 - 25
Let i(z) = 3*z - 1. Let l(m) = 723*m. Determine l(i(q)).
2169*q - 723
Let r(c) = -17*c. Let w(z) = -z + 4. Let d(s) = -10*s + 100. Let k(a) = 2*d(a) - 50*w(a). What is k(r(y))?
-510*y
Let n(s) = -8*s. Let m = 621 + -621. Let x(j) be the second derivative of 0*j**3 - j + m + 0*j**2 - 1/12*j**4. What is x(n(o))?
-64*o**2
Let y(w) be the first derivative of -12*w**2 + 7*w**2 + 7*w**2 + 28. Let p(c) = -3*c. Determine y(p(s)).
-12*s
Let v(g) = 242*g - 12. Let h(q) = 443*q. Determine v(h(a)).
107206*a - 12
Let h(d) = 4*d**2 - 3*d + 18. Let k(x) = -3*x**2 + 2*x - 12. Let t(i) = 2*h(i) + 3*k(i). Let j(l) = -66*l + 3 - 3. Calculate j(t(f)).
66*f**2
Let a(b) = 131*b - 70*b - 62*b. Let u(r) = -294*r**2. Determine a(u(y)).
294*y**2
Suppose -5*q + 5 = -20. Let v(w) = -157*w - 6*w**2 + q*w**2 + 157*w. Let p(k) = k. Give v(p(c)).
-c**2
Let o(r) = -119*r - 49. Let d(c) = -5*c - 2. Let y(z) = 49*d(z) - 2*o(z). Let x(u) = -22*u. Let j(s) = 3*x(s) - 8*y(s). Let n(m) = 3*m**2. Determine j(n(i)).
-30*i**2
Let n(w) = 3*w. Let a(s) = 5*s**2 + 4*s + 291. Give a(n(d)).
45*d**2 + 12*d + 291
Let q(d) = -22*d**2. Let h(k) be the first derivative of -16*k**3/3 - 315. What is q(h(c))?
-5632*c**4
Let d(a) = 6*a - 1. Let z(j) = -6*j**2 - 7*j**2 - 4*j**2 + 19*j**2. Determine d(z(f)).
12*f**2 - 1
Let t(w) be the first derivative of w**5/20 + 2*w**2 - 15. Let b(z) be the second derivative of t(z). Let y(c) = -4*c**2. What is b(y(u))?
48*u**4
Let v(c) be the third derivative of c**8/20160 + 17*c**6/720 - c**5/20 + 19*c**2. Let z(h) be the third derivative of v(h). Let l(f) = 2*f. Give l(z(p)).
2*p**2 + 34
Let p(v) = -v - 2 + 2. Let l(k) = 5*k - 11*k - 7*k - 44*k**2 - 20*k. Let a(d) = d**2 + d. Let q(g) = 33*a(g) + l(g). Determine q(p(w)).
-11*w**2
Let u(n) = -2*n. Let h(q) = 159*q**2 + 81*q. Determine u(h(r)).
-318*r**2 - 162*r
Let k(t) = 3*t**2 + 45*t + 2. Let d(o) = 4*o**2 + 45*o + 3. Let h(u) = 2*d(u) - 3*k(u). Let j(a) = 4*a. Calculate h(j(r)).
-16*r**2 - 180*r
Let d(i) be the second derivative of i**6/80 - 5*i**4/4 + 9*i. Let r(b) be the third derivative of d(b). Let v(y) = 3*y**2. Calculate r(v(k)).
27*k**2
Let j(w) = 13*w**2 - 10*w**2 - 5*w**2 + 1. Let r(f) = -17*f. Let c(q) = 4*q. Let a(n) = -26*c(n) - 6*r(n). Determine a(j(t)).
4*t**2 - 2
Let x(o) = -2*o**2. Let q(m) = 7*m**2 + 10*m + 2. Let d be q(-7). Suppose 550 = j + j. Let a(v) = j*v + v**2 - d*v. Determine x(a(n)).
-2*n**4
Let y(s) = -2*s. Let r(u) = -u**3 + 5*u**2 + 5*u - 12. Let b be r(5). Let z = b + -12. Let j(l) = 66*l - z - 76*l + 1. Give y(j(i)).
20*i
Let w(a) = 20*a**2 - 1. Let i(h) be the second derivative of -1/6*h**3 + 0*h**2 - 3*h + 0. What is w(i(g))?
20*g**2 - 1
Let n(h) = 3*h. Let s(z) = 4 + 80*z + 59*z - 112*z - 2. Give n(s(a)).
81*a + 6
Let c(n) = 4*n**2 - 72. Let x(m) = -2. Let a(f) = -2*c(f) + 72*x(f). Let t(k) = 10*k. Give a(t(o)).
-800*o**2
Let d(c) = 262*c**2. Let f(n) be the third derivative of -n**5/60 - 248*n**2. Give d(f(u)).
262*u**4
Let a(j) = -11*j - 31. Let u(f) = 5*f + 15. Let l(o) = -4*a(o) - 9*u(o). Let h(q) = 140*q. Let b(y) = -23*y. Let x(c) = -6*b(c) - h(c). What is x(l(s))?
2*s + 22
Let f(j) = j**2. Let u = 511 - 508. Let s(r) be the second derivative of 0 + 2*r - 1/6*r**4 + 0*r**2 + 0*r**u. Give s(f(a)).
-2*a**4
Let i(l) = -10*l. Let k(g) = -35744*g - 2. What is i(k(c))?
357440*c + 20
Let r(b) = -20*b + b**2 - 18*b + 24*b. Let v(k) = k**2. Determine r(v(c)).
c**4 - 14*c**2
Let h(g) = 7*g**2 - 1. Let l(r) = -29*r. Determine h(l(c)).
5887*c**2 - 1
Let f(w) = 2735*w. Let l(h) = -5*h - 24. What is l(f(a))?
-13675*a - 24
Let v(p) = -p**2. Let b(u) = -u**2 - 9*u + 14. Let f be b(-10). Let j(m) = -6*m - 2*m - f*m + 4*m. Give j(v(c)).
8*c**2
Let j(h) = 5*h. Let m(p) = 13173*p - 1. Determine m(j(q)).
65865*q - 1
Let o(s) = s. Let l(c) be the first derivative of 3*c**4/4 - 10*c**2 - 12. Let t(q) be the second derivative of l(q). What is o(t(h))?
18*h
Let p(l) = -4*l**2. Suppose -9 = z + 2. Let o = 13 + z. Let f(q) = 0*q**2 - 4*q**2 + 0*q**o. Determine p(f(n)).
-64*n**4
Let z(q) = -3*q**2. Let h(s) = -s**3 - 10*s**2 - 9*s + 2. Let b be h(-9). Let t(p) = 0*p**2 + b*p**2 - 6*p**2. Determine t(z(j)).
-36*j**4
Let a(c) = 6*c. Suppose 4*d + 2*t + 4 + 28 = 0, -d = 2*t + 14. Let k = d + 10. Let v(m) = 0*m**2 + k*m**2 + 0*m**2. Determine v(a(j)).
144*j**2
Let z(q) = 2*q**2 - 5*q. Let h(o) = 3*o**2 - 8*o. Let g(t) = 5*h(t) - 8*z(t). Let j(m) = -86*m. Determine j(g(i)).
86*i**2
Let z(f) = -175*f**2 + 521*f**2 - 177*f**2 - 168*f**2. Let s(i) be the first derivative of -11*i**3/3 - 2. Determine z(s(c)).
121*c**4
Let m(t) = -16*t - 40. Let d(o) = 11*o + 25. Let h(x) = -8*d(x) - 5*m(x). Let r(i) = 6*i. Give h(r(k)).
-48*k
Let n(i) be the second derivative of i**3/2 + 27*i**2 + 300*i. Let v(d) = -d. Give v(n(y)).
-3*y - 54
Let q(d) = 12*d + 5*d + 6*d - 24*d. Let p be (-2 - -1)/((-6)/24). Let j(w) = -5*w - 6*w + p*w. Determine j(q(u)).
7*u
Let t(i) be the first derivative of -5*i**4/6 + 10*i - 1. Let l(s) be the first derivative of t(s). Let d(j) = -j**2. Give d(l(z)).
-100*z**4
Let s(f) = 11*f**2. Let k(y) = -29*y**2 + 7*y**2 + 10*y**2 - 11*y**2. Calculate s(k(l)).
5819*l**4
Let l(j) = -3*j**2 + 2*j. Let d(u) = -9*u**2 + 7*u. Let y(b) = -4*d(b) + 14*l(b). Let w = 3 - 3. Let g(v) = 4 + 2*v - 4 + w. Calculate g(y(a)).
-12*a**2
Let d(r) = -14*r. Let m(y) = 1375*y. What is d(m(n))?
-19250*n
Let w(v) = -v**2 + 83*v. Let r(n) = -84*n. Give w(r(x)).
-7056*x**2 - 6972*x
Let w(a) = a**2. Let r(l) be the first derivative of l**3 - l**2 - 44. Determine r(w(g)).
3*g**4 - 2*g**2
Let a(j) = -5*j**2. Suppose 4*q - 5*q + 2 = 0. Let u(d) = -7 + 4*d**q + 3 + 4. Determine u(a(y)).
100*y**4
Let z(c) = 1391*c. Let b(j) = -24*j. Calculate b(z(a)).
-33384*a
Let a(m) = -290*m**2 + 573*m**2 - 282*m**2. Let g(b) be the first derivative of b**2/2 - 2. Determine g(a(l)).
l**2
Let w(g) = 23*g**2. Let d(h) = 8*h**2 - 3*h**2 - 9*h**2. Calculate w(d(t)).
368*t**4
Let b(y) = 4*y. Let u(l) = 215*l. What is u(b(q))?
860*q
Let g(x) = -x**2 - 7*x. Let b(c) = 91236*c. Determine g(b(h)).
-8324007696*h**2 - 638652*h
Let u(q) = -q**2. Let w(r) = 0 + 0 + 4*r**2 + 0. Let o(z) = -21*z**2. Let l(m) = -3*o(m) - 14*w(m). Give l(u(a)).
7*a**4
Let v(y) = y**2. Suppose 0 = -2*u + 7 + 9. Let o(h) = -u*h - 7*h + 6*h - 2*h. Give o(v(a)).
-11*a**2
Let b(h) = 1. Let f(c) = c - 9. Let u(r) = -18*b(r) - 2*f(r). Let v = 43 + -40. Let j(x) = 4*x - v*x + x. Give u(j(w)).
-4*w
Let g(b) = 125*b**2 - 505*b**2 + 125*b**2 + 123*b**2 + 125*b**2. Let s(v) be the first derivative of v**2 + 1. What is s(g(h))?
-14*h**2
Let u(z) = 19249*z - 19249*z + 102*z**2. Let a(q) = 4*q. Give a(u(n)).
408*n**2
Let l(c) = c - 1. Let h(x) = -5*x + 4. Let u(m) = -h(m) - 4*l(m). Let p(k) = 3 - 655*k**2 - 3 + 1301*k**2 - 647*k**2 - 46*k. Calculate u(p(t)).
-t**2 - 46*t
Let v(j) = -279*j - 74510 + 74510. Let n(w) = -2*w. Determine v(n(s)).
558*s
Suppose -3*p = 4*w - 27, -2*p + 0*w - 2 = -4*w. Let l(h) = 10*h + 34*h - p*h. Let s(n) = 2*n. Give l(s(q)).
78*q
Let i(t) = -t**2. Let b(c) = 312*c**2 + 43*c**2 + 455*c**2 - 140*c**2. Calculate i(b(k)).
-448900*k**4
Let y(u) = -2243*u**2. Let x(a) = 1889*a**2. Give x(y(c)).
9503651561*c**4
Suppose 0 = -0*i + 7*i. Let t(g) be the first derivative of 0*g**2 - 5 + i*g + 1/3*g**3. Let v(a) = -2*a**2. Determine v(t(h)).
-2*h**4
Let d(c) = c**2. Suppose 0 = 3*q - 9, 5*t - 2*t + 2*q = 18. Let l(w) be the second derivative of -7/12*w**4 + 0*w**3 + t*w + 0 + 0*w**2. Determine d(l(i)).
49*i**4
Let w(q) = -240986*q. Let i(r) = 2*r**2. Calculate w(i(l)).
-481972*l**2
Let y(c) = 83*c. Let w(o) = -1 + 12*o + 1 + 0 - 14*o. What is w(y(d))?
-166*d
Let x(i) = 2*i. Suppose 6*t = 3*c + t + 4, -4*t = -4*c. Let a(z) = 166 - 166 - 5*z**c. Calculate x(a(j)).
-10*j**2
Let w(p) be the second derivative of p**4/24 - 9*p**2/2 - 7*p. Let g(k) be the first derivative of w(k). Let q(z) = -3*z. What is g(q(s))?
-3*s
Let r(a) = a. Let j(w) be the second derivative of 7*w**3/6 - 69*w. What is r(j(c))?
7*c
Let p(w) = 2*w**2. Let z(s) = -s**3 + 1. Suppose -t - 4 = t. Let h be z(t). Let f(c) = -5 - h - 6*c + 14. Determine p(f(i)).
72*i**2
Let w(h) = 