-5*y - 2*a - 5 + 20. Suppose 3*n - 40 = -y*n. Let j(s) = s**2 - 4*s + 3. Calculate the lowest common multiple of 10 and j(n).
40
Let p = 1830/53 - 3/106. Let g(s) = 69*s + 6. Let y be g(-4). Calculate the common denominator of p and (-3*(-267)/y)/(4/(-6)).
20
Let y(n) = -882 - 883 - 7*n**3 + 1768 + 7*n. What is the lowest common multiple of 20 and y(-2)?
180
Suppose 6*x - x = -3*a + 43, 5*a = 3*x + 83. Suppose 0 = 41*l - a*l - 1800. What is the smallest common multiple of l and 27?
216
Let p be 2 + -8 + 2 + 33. Let v = p + -145/3. What is the common denominator of v and 40/11?
33
Let q = 23/487 + -1043/1461. What is the common denominator of 37/2696 and q?
8088
What is the common denominator of ((-7)/(-21))/(66/(-42)) and -137/456?
5016
Let z be 93 + 2 - -5*(-6)/10. Let b = -20 + z. What is the lowest common multiple of 10 and b?
360
Let h = 35223 + -35219. Calculate the lowest common multiple of 53 + (-2 - -1) + 0 and h.
52
Let j be 1 - (1 + (-395938)/(-88)). Let q = 4499 + j. What is the common denominator of q and 33/64?
704
Calculate the smallest common multiple of (-112)/14 + (1254 - 0) and 2.
1246
Suppose 83*n = 2354 - 694. Suppose 0 = b + 4*s - 7*s + 4, 3*b - 2 = -5*s. Let g(y) = 15*y**2 - y. Calculate the least common multiple of g(b) and n.
80
Let d = -2/23857 - -1312247/1335992. What is the common denominator of d and -13/343?
2744
Let v = -434477/28992 - -8641/576. Calculate the common denominator of v and 161/180.
27180
Let a = -571 + 571. Suppose -2*c + 5*t + a*t + 29 = 0, -3*c - 2*t + 34 = 0. What is the least common multiple of c and 248?
744
Calculate the common denominator of 49/472 and (-4)/(-32) + (-50)/(-408)*645/(-172).
16048
Let b be (3 + -2)/(-3 + 20/7). What is the smallest common multiple of ((-161)/b)/(1 + 0) and 3?
69
Let v be (1 - 88/(-20)) + (-2)/5. Suppose -3*w - 21 = v*n, 2*w + 3*n = -1 - 12. Find the common denominator of -5/14 and (-6)/w - (-5)/(420/(-18)).
14
Let y be (-50)/10 - -8 - (0 + -1265). Suppose -510 = -2*r - 2*c, 6*c - 4*c + y = 5*r. What is the smallest common multiple of r and 20?
2540
Let q = 10805 - 151199/14. Let o be (20/(-75))/((-982)/5). Let n = -148769/2946 - o. What is the common denominator of q and n?
14
Let m = -65165/189664 + -1/5927. Let v be -5 + (-234028)/49104 + 8. Let i = v + 182/279. What is the common denominator of m and i?
352
Let b = 900/11 - 22797/275. Find the common denominator of 1596/630*51/(-289) and b.
425
Find the common denominator of -61/369 and (55/(-10))/11 + 4/(5576/611).
6273
Suppose -5*w - 47 = 88. Let t = w + 38. Calculate the lowest common multiple of (3 - 56/(-10)) + 8/20 and t.
99
Let z = -104 - -114. Let v = z + 20. Suppose -5 = 5*s, 35 = 5*o + s - 6*s. Calculate the smallest common multiple of o and v.
30
What is the common denominator of (-10)/(-6) + (-7 - -2) + 20466/7128 and 53/3?
132
Let y = -19688 - -472579/24. Calculate the common denominator of y and 2/339.
2712
Suppose 227 - 695 = -39*n. What is the smallest common multiple of 2853 and n?
11412
Suppose 5*z - 5*l = 130, 8*z - 9*z + 5*l + 2 = 0. What is the lowest common multiple of 90 and z?
1440
Let a(r) be the second derivative of -r**3 + 191*r**2/2 + 169*r. Calculate the smallest common multiple of 8 and a(21).
520
Let y = -1012 + 1628. What is the common denominator of (-114)/y + (-10)/40 and -37/6?
462
Let f = -2166725 + 4415785461/2038. What is the common denominator of -5/6 and f?
6114
Let x = 12009 + -9915. What is the lowest common multiple of x and 10?
10470
What is the lowest common multiple of 5 and 4307/73 + (-10 - 0)?
245
Let z(t) = -t**2 + 17*t - 27. Let b be z(15). Suppose 4*p = -9 - b, 2*x - 5*p = 23. Calculate the lowest common multiple of x and 86.
172
Find the common denominator of (-3380)/(-1320) - (-45)/165 and 37/3271.
19626
Calculate the common denominator of 17/366 and ((-27)/(-28))/((-204)/1666).
1464
Suppose 6 = -k + 30. Calculate the smallest common multiple of k and (-40)/16*(-18)/3.
120
What is the common denominator of 860/351 + -3 + 142/(-923) and -53/1398?
12582
Let a be (10/(-4) - -1)*(-356)/6. Suppose -3*w + a = -5*l, -2*w + 4 + 2 = 0. What is the common denominator of (762/l)/((-9)/4) and -61/2?
6
Suppose 3*v - 3*q - 2 - 28 = 0, -2*v = 2*q + 4. Calculate the least common multiple of v and 583.
2332
Let q be (-4)/(-6)*(-12)/8. Let g(p) = -3*p**3 + p**2 + p. Let c be g(q). Suppose -b = c*b - 36. Calculate the least common multiple of b and 6.
18
Suppose -15*c + 29 = -16. Let o be (-1067)/(-44) + (-1)/4. Suppose -w + 2*z + o + 1 = 0, -2*z = -2*w + 46. What is the smallest common multiple of w and c?
21
Let v = 63775/11424 + 3/3808. Find the common denominator of v and 81/1964.
5892
Suppose -p - 4*p = 0, 80 = 6*i - 4*i + p. Suppose 120 = 3*o - o. Calculate the least common multiple of i and o.
120
Let v = 2/1579935 + 19031370349/12639480. Let q = v - 1510. Find the common denominator of (-832)/(-330) + (-2)/5 and q.
264
Let a = -1843 + 82972/45. Find the common denominator of 6/(-90)*6*88/6 and a.
45
Suppose -21 = -3*w + 15. Let n(m) = 5*m**3 + 4*m**2 - 8. Let b be n(2). Suppose -9*a + 6*a + b = 0. What is the smallest common multiple of a and w?
48
Let o be ((-48)/9)/(32/(-1968)). What is the common denominator of 83/10 and (8 - 4044/504)*(1 - o)?
70
Suppose 0 = 5*j - 25, -10 - 11 = 2*u - 5*j. Let q(x) = 9*x**2 - 36*x + 68. What is the least common multiple of q(u) and 4*4/((-8)/(-5))?
160
Let f = 2042891623/1545 - 1322260. Find the common denominator of f and -7/1545.
1545
Let y = 1737 + -1227. Suppose 4*s = -70 + y. Calculate the smallest common multiple of s and 10.
110
Calculate the least common multiple of 36 and (6/(-9) - (-4)/6) + 108.
108
Suppose -5807*f = -5814*f + 2352. What is the lowest common multiple of f and 294?
2352
Let i be 1 + -4 + 9 - (7 - 5). Calculate the common denominator of (i/(-110))/((-84)/3185) and -67/18.
198
Let q = -430807/28 + 15388. What is the common denominator of (-623)/126*9/(-6) and q?
84
Let w = -732317/9829280 - 3/13355. Find the common denominator of w and -33/56.
5152
Calculate the common denominator of (20335/477015)/((-10)/6 + 1) and -21/10.
6490
Let y = -7769/14 + 3804/7. What is the common denominator of -91/916 and y?
916
What is the common denominator of (12/(-24))/(8685/276 + 7/(-28)) and -40/3?
4308
Suppose z - 304 = -4*w, 5*z + 3*w = 132 + 1473. Calculate the lowest common multiple of z and 126.
2268
Suppose -3*k - 5*p = -20, 374*k - 371*k - 2*p = 76. Calculate the least common multiple of 22392 and k.
111960
Suppose 3*p - 6*p - 225 = 0. Let v = p - -81. Suppose -5*h + 26 = 4*o, 0 = 8*h - v*h + 4*o - 8. Calculate the smallest common multiple of 8 and h.
24
Suppose -h - 3*u = 8, -2*h - 5*u + 7 = 21. Calculate the common denominator of -41/12 and ((-15827)/420)/(-19) - (h - -1).
60
Let m(n) = -6*n**2 - 835*n**3 - 2 + 1 - 3*n + 7*n - n. Let t be m(-3). Let r = t + -629539/28. What is the common denominator of 137/18 and r?
252
Let c(j) = j**2 + 3*j + 6. Let l be 1136/224 - 2/28. Suppose 0 = -l*q + 4*d + 34, q + 1 - 15 = -d. Calculate the lowest common multiple of q and c(-4).
10
Find the common denominator of ((-13948)/(-240))/(-11) - (-104)/(-780) and -95/72.
72
Let a(r) = 2*r**3 + 65*r**2 + 34*r + 66. Suppose -2*n + 944 = 920. Calculate the lowest common multiple of a(-32) and n.
12
Find the common denominator of (2 - 0)*((-1251)/72*2)/(-30) and -181/960.
960
Let t = 753875/232 - 155/116. Let z = t - 3253. Calculate the common denominator of z and (-18)/(-8)*(-6)/8.
16
Suppose -16 = -4*d + 4*r, -154*r + 27 = 5*d - 152*r. Let n = -19 + 29. Calculate the lowest common multiple of d and n.
10
Let o = -2723559/2 - -41020307/30. Suppose -107*s + 102*s = -4*r - 27819, -r - 16683 = -3*s. Let l = s - o. What is the common denominator of 77/24 and l?
120
Suppose -3*x + 1069 = -0*x + 7*u, x + 4*u - 348 = 0. What is the least common multiple of x and 46?
368
Let g(u) = -12*u - 67. Let v be g(9). Calculate the common denominator of -67/27 and 2/55*13/((-117)/v).
297
Let c = 145 - 157. Let w be ((-18)/(-4) + -5)*c. Suppose 8 = 2*x + b, -x + 0*x - b = -w. Calculate the lowest common multiple of x and 3.
6
Let q = -6967 + 7567. Calculate the smallest common multiple of q and 960.
4800
Let u be (-3)/((6/(-216))/(4/6)). Let i(h) 