 + x(y).
6*y**2 + 4*y - 1
Let g(s) = -14*s**3 - 1366*s**2 + 18*s + 5. Let i(c) = -3*c**3 - 341*c**2 + 4*c + 1. Determine -2*g(j) + 9*i(j).
j**3 - 337*j**2 - 1
Let o(z) = -2*z - 5. Let c(y) = 3735*y - 200. What is 3*c(t) - 120*o(t)?
11445*t
Let r(x) = -13*x**3 - 13*x**2 + 40*x - 5. Let c(a) = 9*a**3 + 11*a**2 - 40*a + 4. What is 3*c(n) + 2*r(n)?
n**3 + 7*n**2 - 40*n + 2
Let g(b) = -14*b**2 + 6*b + 19. Let s(u) = 28*u**2 - 13*u - 38. Give -13*g(v) - 6*s(v).
14*v**2 - 19
Let y(h) = 8*h**3 - 9*h**2 + 4*h. Let u(n) = 3*n + 2170*n**2 - 3 + 2173*n**2 + 7*n**3 - 4351*n**2 + 3. Calculate -7*u(z) + 6*y(z).
-z**3 + 2*z**2 + 3*z
Let l(t) = 3*t**3 - t**2 + 2*t - 2. Let x(a) = 2*a**3 + 5*a**2 - 4*a - 39. Calculate 3*l(q) + x(q).
11*q**3 + 2*q**2 + 2*q - 45
Let o be (3/(-6))/(4/(-8)). Let i(f) = -3*f**2 - 4*f + 4. Let w(r) be the third derivative of -r**5/60 - r**4/24 + r**3/6 + 90*r**2. Give o*i(d) - 4*w(d).
d**2
Suppose 4*r = -p - 4*p + 28, -5*p + 14 = -3*r. Suppose -284*w = -274*w + 60. Let z(a) = a**3 - 3*a**2. Let n(j) = -j**2. What is r*z(h) + w*n(h)?
2*h**3
Let f be (-6)/2*(-3 - -4). Let n(k) = k**2 + 2049 + 2048 - 4097. Let x(t) = -5*t**2 - 3*t + 2. Give f*n(y) - x(y).
2*y**2 + 3*y - 2
Let l(j) = -j**3 + j**2 + 3*j + 1. Let b(a) = 68*a**3 - a**2 - 4*a - 39. Calculate -b(y) - l(y).
-67*y**3 + y + 38
Let s(w) = -15*w - 6. Let n = -247 - -263. Let v(y) = n*y - 1 - 17 + 25. What is -7*s(g) - 6*v(g)?
9*g
Let k(p) = -2*p + 1. Let q(z) be the third derivative of 1/8*z**4 + 0*z - 1/6*z**3 + 0 - 149*z**2. Determine 6*k(v) + 5*q(v).
3*v + 1
Let k(d) = -d**3 - d**2 + d. Let u(n) = -25*n**3 - 22*n**2 + 4*n + 1. Determine 4*k(l) - u(l).
21*l**3 + 18*l**2 - 1
Let i(b) = 331*b**2 - 18*b. Let g(t) = -316106*t**2 + 17187*t. Give 6*g(x) + 5729*i(x).
-337*x**2
Let n(j) = 6*j**3 - 11. Let f(u) = u**3 - u. Let t(k) = 4*f(k) - n(k). Suppose -2 + 68 = -11*z. Let c(w) = -w**3 - 2*w + 5. Calculate z*t(g) + 13*c(g).
-g**3 - 2*g - 1
Let x(i) = 27*i**2 - 6*i - 27. Let u(j) = -27*j**2 + 8*j + 37. What is -5*u(n) - 6*x(n)?
-27*n**2 - 4*n - 23
Suppose -911 = -231*c + 244. Let m(n) = 9*n**3 + 8*n**2 + 59. Let a(q) = 6*q**3 + 5*q**2 + 39. What is c*m(h) - 8*a(h)?
-3*h**3 - 17
Let f(y) = -4*y**2 - 138*y - 31. Let o(a) = -2*a**2 - 92*a - 22. Calculate -5*f(v) + 7*o(v).
6*v**2 + 46*v + 1
Let j(n) = n - 14. Let v(d) = -35683*d + 35688*d + 6 - 61. Calculate -9*j(g) + 2*v(g).
g + 16
Suppose 0 = 87*r + 14*r + 24*r + 4875. Let n(v) = -5*v. Let d(w) = -31*w. Calculate r*n(j) + 6*d(j).
9*j
Let z(q) = 1102*q**3 + 6688*q**2 - 608*q. Let h(s) = s**3 + 11*s**2 - s. Determine 608*h(i) - z(i).
-494*i**3
Let j(a) = 12*a - 678. Let q(k) = 14*k - 663. Determine -5*j(n) + 4*q(n).
-4*n + 738
Let t = -10 - -12. Let k(l) = -2*l**3 - l**t + l**3 - l**3 + l**3. Let o(j) = 70*j - 18*j - j**2 - 28*j - 3*j**3 - 11*j - 15*j. What is 2*k(g) - o(g)?
g**3 - g**2 + 2*g
Let n(j) = -10*j**3 - 4*j**2 - 4. Let x be (-38)/684*6*(-1 + 11/(-1)). Let v(h) = -21*h**3 - 9*h**2 - 7. What is x*v(m) - 9*n(m)?
6*m**3 + 8
Let c(s) = s**2 - 7*s + 1. Let w(u) = 16*u**2 + 20*u - 20. Determine 3*c(p) + w(p).
19*p**2 - p - 17
Let c(p) = -5. Let i(j) = -j**3 + 1. Let x be 59/354*294/1. Suppose -x*r - 50 = -39*r. Determine r*i(t) - c(t).
5*t**3
Let y(w) = w**3 - 2*w**2 + 4*w + 6. Let d(n) = -2*n**3 + 4*n**2 - 7*n - 12. Let b = -15654 - -15643. Calculate b*y(u) - 6*d(u).
u**3 - 2*u**2 - 2*u + 6
Let m(o) = -23*o**2 + 39*o - 27. Let z(y) = 13*y**2 - 20*y + 12. Give -4*m(j) - 7*z(j).
j**2 - 16*j + 24
Let o(j) = 18*j - 70. Let i be o(4). Let l(c) = -4*c**3 - 10 - i*c**2 + 5 + 3. Let z(d) = 13*d**3 + 7*d**2 + 7. Give 7*l(s) + 2*z(s).
-2*s**3
Suppose 624*y + 405 - 1029 = 0. Let m(z) = -3*z**2 + 5*z. Let g = 2 + -7. Let v(i) = -i**2 + i. Determine g*v(c) + y*m(c).
2*c**2
Let g(i) = -15*i**3 + 3*i**2 + 3*i + 1. Suppose 5*c + 12 = -4*f, -20*f + 22*f - 3*c - 16 = 0. Let l(n) = -14*n**3 + 2*n**2 + 2*n + 2. Determine f*g(z) - 3*l(z).
12*z**3 - 4
Let h(d) = -9002936*d + 41584. Let q(u) = -5195*u + 24. Give -3*h(f) + 5198*q(f).
5198*f
Let p(g) be the third derivative of g**5/60 + g**4/2 + g**3/2 + 1391*g**2. Let i(y) = -2*y**2 - 23*y - 5. Give 3*i(d) + 5*p(d).
-d**2 - 9*d
Let f(a) = -7*a**2 - 35*a - 35. Let o(d) = d + 1. Let u = -27 - -11. Let m be 10/(-8) + (-4)/u. Determine m*f(v) - 35*o(v).
7*v**2
Let c = -3008 - -3009. Let u(m) be the first derivative of -m**2 - 2*m + 5. Let t(n) = -1. What is c*u(q) + t(q)?
-2*q - 3
Let q(t) = -7*t**3 - 6*t**2 - 6*t - 6. Let y(x) be the third derivative of 7*x**6/20 + 7*x**5/12 + 35*x**4/24 + 35*x**3/6 + 49*x**2. Calculate 35*q(c) + 6*y(c).
7*c**3
Let r(u) = 4*u - 41. Let m(t) = -t + 22. Let d(o) = -11*m(o) - 6*r(o). Let n(c) = 39*c - 11. Calculate -11*d(y) - 4*n(y).
-13*y
Let p(r) = 16*r**3 + 6*r**2 - 7*r + 742. Let a(b) = 2*b**3 + b**2 - b - 1. Calculate -7*a(s) + p(s).
2*s**3 - s**2 + 749
Suppose 68 = -33*x - 76 + 111. Let b(z) = z**3 + z**2 - 1. Let k = -1 + 2. Let f(h) = -5*h**3 + h**2 - 1. What is k*b(t) + x*f(t)?
6*t**3
Let i(c) = -11*c - 7. Suppose 2*j + q = 14, 3*q - 27 = -j - 2*j. Let x be j/(15/(-39)) - 1. Let z(k) = -1 + k - 5*k - k - 2. Determine x*z(n) + 6*i(n).
4*n
Let j(h) = 2*h + 1. Suppose -p + 2*o - 42 = -31, 5*o = 3*p + 33. Let a(s) = -1. Let d(z) = 5*z + 1. Let b(w) = 4*a(w) - 2*d(w). Give p*j(q) - 2*b(q).
-2*q + 1
Let p(h) = -1058*h**3 - 12*h**2 + 8*h. Let j(t) = -975477*t**3 - 11067*t**2 + 7378*t. Give -4*j(v) + 3689*p(v).
-1054*v**3
Let r(s) = s - 4. Suppose 0*l = -n - 4*l, 36 = 5*n + 2*l. Let v be (-42)/168 - ((-34)/n)/1. Let m(j) = j - 3. Calculate v*m(w) - 3*r(w).
w
Let g(r) be the third derivative of -r**5/60 + r**4/24 - r**3/6 + 2*r**2 + 3387*r. Let i(f) = 5*f**2 - 17*f + 3. What is -4*g(n) - i(n)?
-n**2 + 13*n + 1
Suppose -2*c - 5*f + 6 + 13 = 0, 0 = -2*c + 4*f - 8. Let r(o) = -o - 594 + 0*o + 595. Let x(d) = -d. Determine c*x(m) - r(m).
-m - 1
Let k(i) = -17*i**3 + 8*i**2 + 5*i + 5. Let r(h) = -22*h**3 + 4*h**2 + 2*h - 33. Let z(a) = 2*a**3 + 5. Let f(c) = r(c) + 7*z(c). Give -5*f(p) + 2*k(p).
6*p**3 - 4*p**2
Let o(m) = 10*m - 5. Let t(n) = -11*n + 6. Suppose -77*w + 79*w - 80 = 0. Let b be 27/18*w/12. Determine b*t(c) + 6*o(c).
5*c
Let p(n) = -n**2 + 5*n - 5. Let d be p(5). Suppose -55 = -5*f - 7*k, f - 5*k + 4*k = -1. Let v(r) = -6*r + 6. Let o(w) = -5*w + 5. What is d*o(j) + f*v(j)?
j - 1
Let y(o) = 8013*o**2 - 17*o. Let j(a) = 2671*a**2 - 6*a. Give -51*j(d) + 18*y(d).
8013*d**2
Let i(h) = -2*h**3 - 4*h**2 - 21*h + 4. Suppose 219 = -60*w - 21. Let k(b) = b**3 + 2*b**2 + 11*b - 2. What is w*i(j) - 7*k(j)?
j**3 + 2*j**2 + 7*j - 2
Let v(d) = 2*d**2 + 5*d + 7 + d**2 - 17*d + d + 18*d. Let i(t) = -7*t**2 - 15*t - 15. Calculate 6*i(w) + 13*v(w).
-3*w**2 + w + 1
Let k(i) = -20448*i**3 - 25*i**2 - 39*i + 32. Let q(s) = 3408*s**3 + 4*s**2 + 6*s - 5. Give 2*k(x) + 13*q(x).
3408*x**3 + 2*x**2 - 1
Let x(w) = 11514*w**2 - 8*w - 4. Let d(c) = -1473797*c**2 + 1022*c + 511. Calculate -4*d(h) - 511*x(h).
11534*h**2
Let b(d) = -3*d - 35. Let a(z) = 7*z + 88. Let o(h) = -2*a(h) - 5*b(h). Let k(m) = 2*m - 5. Give -k(j) + 3*o(j).
j + 2
Suppose 46*a = 36*a + 110. Let y(k) = -k**3 - 23*k**2 + 23*k - 18. Let q be y(-24). Let p(s) = 9*s + 17. Let o(d) = -5*d - 9. Determine a*o(r) + q*p(r).
-r + 3
Let f(q) = 1366*q**3 + 11*q**2 + 16*q + 41. Let o(a) = 911*a**3 + 7*a**2 + 10*a + 26. Calculate 5*f(y) - 8*o(y).
-458*y**3 - y**2 - 3
Let p(c) = -9*c + 3. Suppose -32 = -3*k + 5*b, -5*b - 36 = k - 5*k. Let f(y) = -18*y - 15*y - 11*y + 10 + k. What is -3*f(x) + 14*p(x)?
6*x
Let v(r) = 12*r + 1777. Let k(g) = 15*g + 1760. Give -3*k(j) + 4*v(j).
3*j + 1828
Let r(d) = -3902*d**3 - 120*d**2 - 14*d - 14. Let s(g) = -780*g**3 - 26*g**2 - 3*g - 3. Give -3*r(n) + 14*s(n).
786*n**3 - 4*n**2
Let v(g) = 2*g. Let n(j) be the first derivative of -5*j**2 + 2334. Suppose -2*o + 4 = 6. Calculate o*n(p) - 10*v(p).
-10*p
Let l(h) = -h**3. Let i(c) = 3*c**3 + c**2 + 27. What is i(k) + 5*l(k)?
-2*k**3 + k**2 + 27
Let v(t) = 1082*t + 32. Let f(h) = -541*h - 19. Give 5*f(d) + 3*v(d).
541*d + 1
Suppose -5*n = -4*h + 87 - 83, 8 = -n + 2*h. Let r(c) = -c**2 - 7*c - 3. Let q(a) = 8*a + 4. Determine n*r(d) + 3*q(d).
-4*d**2 - 4*d
Let p(c) = -c**3 - c**2 + 2. Let r(k) = 552*k**3 - 4*k**2 - 2*k + 10. Calculate -5*p(t) + r(t).
557*t**3 +