r**2 - 15*r - 45. Let l(k) = 64*k**3 - 18*k**2 - 8*k - 24. What is 8*d(a) - 15*l(a)?
56*a**3 - 10*a**2
Let u(c) = -7*c**3 - 47*c**2 + 3*c + 426. Let j(a) = -6*a**3 - 38*a**2 + 3*a + 427. Calculate -5*j(n) + 4*u(n).
2*n**3 + 2*n**2 - 3*n - 431
Let j(n) = 2*n**3 - 11*n + 6. Suppose 23*u + 6 = 24*u. Let h(s) be the first derivative of -s**2/2 + s - 1034. Determine u*h(o) - j(o).
-2*o**3 + 5*o
Let l(j) = -58*j + 387. Let b(o) = 19*o - 123. What is -7*b(r) - 2*l(r)?
-17*r + 87
Let z(l) = -95*l**3 - 7*l**2 - 98*l - 14. Let m(t) = -31*t**3 - 2*t**2 - 32*t - 4. What is 7*m(h) - 2*z(h)?
-27*h**3 - 28*h
Let y(v) = 5*v**2 + 5*v + 6. Let m(t) = -4*t**2 - 4*t - 5. Let a = -3091 + 3085. Give a*y(s) - 7*m(s).
-2*s**2 - 2*s - 1
Let w(p) = -27*p**2 + 2*p + 196. Let o(s) = 13*s**2 - s - 94. Determine -5*o(i) - 2*w(i).
-11*i**2 + i + 78
Let o(s) = 5*s - 46. Let u be o(10). Let w(g) = -7*g**3 - 5*g - 5. Let k(q) = 6*q**3 + 4*q + 4. Suppose 5*h = 2 + 23. What is h*k(y) + u*w(y)?
2*y**3
Let x(f) = -172*f**2 - f + 14. Let g(n) = -689*n**2 - 6*n + 60. Calculate -2*g(k) + 9*x(k).
-170*k**2 + 3*k + 6
Let h(f) = -29*f + 5. Let d(z) = 595*z - 102. Let v be (-2717)/551 + (-6)/87. Give v*d(n) - 102*h(n).
-17*n
Let o(p) = 0*p - 5*p**3 + 8*p**3 + 4*p**3 + 5*p. Let u(i) = -10246497*i**3 + 6*i + 10246504*i**3 - 2*i. Give -4*o(n) + 5*u(n).
7*n**3
Let r(p) = -4*p**2 - p - 4. Let u = 1907 + -1911. Let l(v) = -13*v**2 - 3*v - 11. Give u*l(w) + 11*r(w).
8*w**2 + w
Let j(g) = 12 + 2 + 26*g + 0. Let p(f) = -13 - 20 - 13 + 9*f + 61 - 10. Let k be (3 - 55/15)*-21. Give k*p(t) - 5*j(t).
-4*t
Let w = 131 + -135. Let b(n) be the second derivative of 0 + 5/2*n**2 + 5/6*n**3 - 1/6*n**4 - 15*n. Let m(f) = -f**2 + 4*f + 4. Determine w*b(v) + 5*m(v).
3*v**2
Let g(d) = 2*d**3 + 4*d**2 + 5. Let q(z) = z**3 - 27*z + 6. Suppose 7*i = 11*i - 20. Let w be q(i). Let m(t) = -t**3 - t**2 + t - 1. Give w*m(b) - g(b).
2*b**3 - 4*b - 1
Let v(q) = -3194*q**2 + 2*q + 21. Let c(p) = -6389*p**2 + 5*p + 49. Give -3*c(o) + 7*v(o).
-3191*o**2 - o
Let t(o) = -11*o**3 + 6*o**2 - 2*o + 54. Let s(c) = -23*c**3 + 13*c**2 - 5*c + 120. Calculate -4*s(z) + 9*t(z).
-7*z**3 + 2*z**2 + 2*z + 6
Let a(l) = -3 + 0 + 9 - 7. Let v(t) = 5*t**3 + 2*t**2 + t - 5. Let i(g) = 5*g**3 + 3*g**2 + 2*g - 5. Let h(k) = -3*i(k) + 4*v(k). Give 5*a(z) - h(z).
-5*z**3 + z**2 + 2*z
Let m(w) = 43*w + 1. Let q(j) = 342. Let p(c) = -79. Let h(r) = -13*p(r) - 3*q(r). Determine 2*h(u) - m(u).
-43*u + 1
Let d(c) = -1245*c - 50. Let l(u) = -313*u - 13. What is -6*d(k) + 23*l(k)?
271*k + 1
Let m(h) = 24*h**3 - 2*h**2 - 2*h + 2. Let s(d) = -d**3. Let n(p) = -2*m(p) - 36*s(p). Let l(u) = -11*u**3 + 5*u**2 + 5*u - 5. Determine -4*l(c) + 5*n(c).
-16*c**3
Let n(h) be the second derivative of 3*h**3 - 4*h**2 - 227*h + 4. Let w(b) = 12*b - 5. Suppose 0 = -2*a - 3*m - 22, 3*a - 4*m - 1 = -0*a. Give a*n(f) + 8*w(f).
6*f
Let f(r) = r + 1. Let n = -206 + 212. Let h(k) = 10*k**2 - 62*k + 11. Let i be h(n). Let y(a) = 2*a + 5. Give i*y(z) + 3*f(z).
z - 2
Let q(s) = -2*s - 5846. Let t(h) = 2*h + 5848. Give -3*q(f) - 2*t(f).
2*f + 5842
Let i(c) = 77*c**3 - 17*c**2 + 6*c - 2. Let a(m) = 51*m**3 - 12*m**2 + 4*m - 1. Calculate 7*a(h) - 5*i(h).
-28*h**3 + h**2 - 2*h + 3
Let b(s) = -10*s**3 - 6*s**2 + 16*s - 2. Let p(m) = -18*m**3 - 17*m**2 + 30*m - 5. Give 5*b(i) - 2*p(i).
-14*i**3 + 4*i**2 + 20*i
Let u(w) = -2*w + 2. Suppose 5*f - 6 = -1, 2*y - 5 = -3*f. Let n(j) = 7*j + 0 - 2*j - j + y - 3*j. Determine -4*n(m) + u(m).
-6*m - 2
Let q(u) = 8097*u - 7. Let l(r) = 1346*r - 1. What is -13*l(c) + 2*q(c)?
-1304*c - 1
Let n(p) = -2103*p**3 - 19*p**2 - 16*p - 7. Let s(b) = 1051*b**3 + 7*b**2 + 6*b + 3. Determine 2*n(t) + 5*s(t).
1049*t**3 - 3*t**2 - 2*t + 1
Let a(w) = w**3 - w + 1. Let f(z) = z**3 - z**2 - 10*z + 5. Let u be f(-3). Let g(h) = 8*h**3 - h**2 - 3*h + 4. What is u*g(t) + 4*a(t)?
-4*t**3 + t**2 - t
Let j(h) = h**3 + 8*h - 4. Let a(f) = -f**3 + 16*f**2 - 41*f + 21. Let p be a(13). Let t(q) = q**3 + 7*q - 4. What is p*j(c) + 6*t(c)?
c**3 + 2*c - 4
Let n(b) = -b**2. Let p(v) = -5*v**3 - 3*v**2 - 2*v. Suppose -4*m + 271 = 3*l + 266, -5*m = 5. Calculate l*n(t) - p(t).
5*t**3 + 2*t
Let d(u) = -8*u**2 + 4. Let n(m) = -12*m**2 - 3*m + 27. Let b(a) = -11*a**2 - 2*a + 19. Let k(h) = -3*b(h) + 2*n(h). What is -6*d(p) - 8*k(p)?
-24*p**2
Let g(n) = 3*n**3 - 84*n**2 - 5*n - 1. Let h(y) = -2*y**3 + 83*y**2 + 4*y + 1. Determine 3*g(k) + 4*h(k).
k**3 + 80*k**2 + k + 1
Let w(z) = -6*z + 1. Let b(f) = -105*f**2 - 20*f + 4. What is -b(o) + 3*w(o)?
105*o**2 + 2*o - 1
Let t(u) = 7*u**2 + u. Let d = -1583 + 1590. Let c(q) = -15*q**2 - 2*q. Determine d*t(w) + 3*c(w).
4*w**2 + w
Let l(w) = 19*w**2 + 29006*w + 59. Let i(v) = -12*v**2 - 19337*v - 37. Calculate -8*i(y) - 5*l(y).
y**2 + 9666*y + 1
Let t(z) = 4*z**3 + z + 1. Let n(b) = -3788*b**3 - b**2 + 3*b + 3. Give n(i) - 3*t(i).
-3800*i**3 - i**2
Let q(b) = 6*b**2 + 4*b + 11. Let j(l) = -l**2 - l - 2. Let f = -13730 + 13728. Determine f*q(a) - 11*j(a).
-a**2 + 3*a
Suppose l = 3*o + 34, -66*o - 3 = -65*o. Let g(i) = i**2 + i + 1. Let n(k) = 50*k**2 + 25*k + 25. Determine l*g(h) - n(h).
-25*h**2
Let w(j) = -32*j. Let f(i) = -i. Let b(v) = 64*v + 1790. Let d be b(-28). What is d*f(a) - w(a)?
34*a
Let t(n) = -28*n**2 - 42*n. Let v(a) = 26*a**2 + 35*a. Determine 4*t(d) + 3*v(d).
-34*d**2 - 63*d
Let n(c) = -6*c**2 + 7*c + 1144. Let x(b) = 3*b**2 - 3*b - 568. Determine -3*n(h) - 7*x(h).
-3*h**2 + 544
Suppose 0 = 3*v + 3*s + 6, 6*s - 22 = -3*v + 7*s. Let z(i) = -7*i**2 - i - 14. Let h(q) = -6*q**2 - q - 14. Give v*z(w) - 6*h(w).
w**2 + w + 14
Let i(o) = -227 - 234 - 235 + 695. Let m(l) = -l + 5. What is 11*i(c) + 2*m(c)?
-2*c - 1
Let l(q) be the third derivative of -q**5/60 + q**4/6 + 13*q**3/6 + 7268*q**2. Let g(i) = 6*i**2 - 21*i - 66. Calculate 4*g(r) + 21*l(r).
3*r**2 + 9
Let b(n) = -505*n**3 - 11*n. Let u(s) = 101*s**3 + 2*s. Give -2*b(d) - 11*u(d).
-101*d**3
Let r(n) = -n**3 + 2*n**2 - 7*n - 4. Let k(b) = 2*b**3 - 4*b**2 + 15*b + 9. Suppose -151*l - 2332 = -553*l + 1286. Give l*r(q) + 4*k(q).
-q**3 + 2*q**2 - 3*q
Let z(r) = -4*r**2 - 17*r - 7. Let w(v) = -v**2 - 4*v - 2. Let i(y) = -9*w(y) + 2*z(y). Let s(g) = -g - 3. Suppose 266 = 14*p + 294. What is p*i(t) - 3*s(t)?
-2*t**2 - t + 1
Let t(j) = -6*j - 3. Let c be (200/5)/8*2*-1. Let h(s) = s**3 + 12*s**2 + 21*s + 13. Let d be h(c). Let n(z) = -5*z - 3. Calculate d*t(l) - 4*n(l).
2*l + 3
Let j(k) = -13*k**3 + 5*k**2. Let g = -64 + 376. Let n = -316 + g. Let h(v) = 13*v**3 - 4*v**2. Determine n*j(i) - 5*h(i).
-13*i**3
Let v(a) = -2*a**2 - 749*a - 8002. Let t be v(-11). Let p(n) = -6*n**2 + 2. Let c(i) = -11*i**2 + 3. Suppose x + 3 = 6. What is t*p(z) + x*c(z)?
-3*z**2 - 1
Let l(b) = -85*b**3 + 25*b. Let h(a) = -7*a**3 + 2*a. Suppose -9*y + 550 = -31*y. What is y*h(r) + 2*l(r)?
5*r**3
Let j(i) = -39*i**3 - 2*i**2 - 10*i - 126. Let d(l) = 2*l**3 + l + 20. Give -8*d(n) - j(n).
23*n**3 + 2*n**2 + 2*n - 34
Let j(o) = 20*o**3 + 7*o**2 + 20*o - 10. Let r(w) = 19*w**3 + 5*w**2 + 16*w - 10. Calculate -4*j(u) + 5*r(u).
15*u**3 - 3*u**2 - 10
Let n(x) = -x**2 + x + 1. Let w(u) = -11*u**2 + 32*u + 15. Let b(s) = 37*s**2 - 96*s - 53. Let o(i) = 2*b(i) + 7*w(i). Give -n(k) + o(k).
-2*k**2 + 31*k - 2
Let j(h) = -h**2 + h + 8. Let v(o) = 2110*o**2 - 8440*o - 67520. Determine 8440*j(m) + v(m).
-6330*m**2
Let v(k) = -20 + 4*k - 43 - 34 + 100 - 5*k. Let y(h) be the first derivative of h**2/2 - 4*h - 1. Calculate 8*v(m) + 5*y(m).
-3*m + 4
Let d(c) = 43*c**2 - 10*c + 10. Let i(b) = 40*b**2 - 8*b + 9. Determine -6*d(q) + 7*i(q).
22*q**2 + 4*q + 3
Let n(m) = -4*m**2 - 303*m + 77. Let b be n(-76). Let k(x) = 2*x**3 + 2*x**2 - 4*x + 6. Let l(v) = -v**3 + v**2 + v - 1. Calculate b*k(f) + 4*l(f).
-2*f**3 + 6*f**2 + 2
Let d(g) = -52*g**2 + 3*g + 357. Let k(o) = 248*o**2 - 14*o - 1786. Give -14*d(y) - 3*k(y).
-16*y**2 + 360
Let p(w) = 2*w**3 - 2*w**2 + 4*w + 11. Let o(l) = -3*l**3 + 497 + 3*l**2 + 10*l + 0*l**3 - 16*l - 513. Determine -5*o(x) - 7*p(x).
x**3 - x**2 + 2*x + 3
Let f(h) = 14*h - 15. Let z(k) = -k + 2. Determine -2*f(v) - 14*z(v).
-14*v + 2
Let l(w) = 162*w. Let v(s) = -23*s. Let u(c) = 7*c**2 + 186*c - 77. Let n be u(-27). Calculate n*l(b) + 27*v(b).
27*b
Let q(a) = a + 6. Let y(t) be the third derivative