3075/2. What is the common denominator of (-2)/(-6) + 159*5/(-90) and y?
32
Let f(g) = 21*g**3 - g**2 + 16*g - 33. Let o be f(2). Suppose -2*p + 2*y + 77 = y, y - o = -4*p. What is the smallest common multiple of p and 50?
200
Let u be ((-60)/45)/((-2)/42). Suppose -5*q + 2*t = -t - u, -4*q - t + 36 = 0. What is the least common multiple of q and 140?
280
Suppose -3 = h - 4*s, -4*h - 5*s = -h - 25. Suppose -8 = 4*b - 36. Suppose -b = -h*j - 2. Calculate the least common multiple of 25 and j.
25
Suppose 85 = 51*l - 9146. Calculate the smallest common multiple of 3 and l.
543
Let f = -12/791 + 80107/14238. Calculate the common denominator of 176/120*135/(-580) and f.
2610
Let t = -7363/10 - -737. Suppose -n + 4*n - 9 = -3*l, 0 = -2*l + n + 9. What is the common denominator of l/6*-1 + (-687)/90 and t?
10
Suppose -3*r = -3*t - 204, -r - t - 3*t = -48. Calculate the common denominator of 6/20*112/r and -173/30.
120
Let d(k) = 11*k**2 + 4*k + 4. Let q be d(-6). Let w = 1497/4 - q. Calculate the common denominator of 1/8 and w.
8
Suppose -447 + 291 = -z - 4*g, -3*g - 803 = -5*z. Calculate the least common multiple of 1168 and z.
11680
What is the least common multiple of 3 + 683 - -3 - (-2)/10*0 and 1007?
13091
Suppose -2*b = -4*w + 2*b - 24, -27 = 4*w - 3*b. Let h be 1*w/(-6)*-50. What is the least common multiple of 3 and 4/(-3) - h/9?
21
Suppose 4*s + 2*l - 14 = 0, -3*l + 4 + 5 = 2*s. Calculate the smallest common multiple of 8 and (s - -1) + -4*(-72)/4.
152
Let b = -38/7 - -246/35. Let s(c) = -48*c + 33. Let w be s(18). What is the common denominator of b and (-2)/7 - w/42?
10
Let u be 174/(-54) + (-2)/(-9) - -121. Let z = u + -2713/23. Let x = 1744/5 - 346. Find the common denominator of z and x.
115
Suppose v - 68 = -72, -4*d + 2*v + 2584 = 0. What is the lowest common multiple of d and 230?
3220
Let g(u) = -u - 4. Let l be g(0). Let z be 12*4/(-48)*l. Suppose -2*k = -z*k + 10, 4*x = -2*k + 142. Calculate the lowest common multiple of 18 and x.
198
Suppose 7040 = 141*h - 125*h. What is the lowest common multiple of h and 484?
4840
Let z = -1075/7 - -11461/77. Suppose -5*a = -5*r - 70, a - 16 = 5*r - 3*r. Find the common denominator of z and (-2)/a*227 - (-2)/(-3).
22
Let s = -9922664/239463 - -7490/181. What is the common denominator of s and -22/315?
6615
Let q be (-24)/(-15) + (-304)/40. Find the common denominator of q - (603/(-180) - 5) and 21/50.
100
Suppose 5*b - 36 = 3*b - y, -4*y - 72 = -4*b. Let i = 2/37 - 773/1295. Find the common denominator of -57*(-3)/b*5 and i.
70
Let r(b) = -85*b - 1423. Calculate the least common multiple of 1472 and r(-17).
16192
Let b = -3333 + 116644/35. Calculate the common denominator of 71/21 and b.
105
Let k be (-16)/4*(4 - 0). Find the common denominator of k/9 - (152/16 - 8) and -117/10.
90
Calculate the common denominator of 14/31 and 4/(-10)*(-22780)/1876.
217
What is the common denominator of (2292/48 + -47)*2/((-16)/22) and -15/5012?
20048
Suppose q + 0*c + 22 = 5*c, 0 = 4*q + c + 25. Let t = q - -21. Calculate the least common multiple of 195/(-5)*44/(-66) and t.
182
Suppose m = -3*d + 73, 78 = 5*d + 2*m - 43. What is the lowest common multiple of 1 and d/3 - (-2)/(-6)?
8
Let c = -83397 + 83911. Suppose 0*j = 3*j - 21. What is the lowest common multiple of j and c?
3598
Let v be -5 - 17418/48 - -1. Let r be ((-403158)/144)/(46/(-6)). Let q = v + r. What is the common denominator of q and -55/2?
46
Let v(d) = 5*d**3 - 40*d**2 + 167*d + 6. What is the smallest common multiple of v(9) and 1218?
13398
Calculate the common denominator of -19/10 and 0/273 - 104/(-114).
570
Let v = 139 - 134. Suppose 0 = 2*h - v*g + 14, -20*h - 16 = -24*h - g. Calculate the least common multiple of h and 27.
27
Let r = -2139 + 4187/2. Let h = 77801/15960 - -1/3990. What is the common denominator of h and r?
8
Suppose -p + k + 93 = 0, 0 = -6*p + 9*p + 3*k - 261. What is the lowest common multiple of p and 6?
90
Let c = -1309 + 289. Let g = c + 10237/10. Calculate the common denominator of g and 81/386.
1930
Let q = -2491/210 - -209/15. Let y = 491 + -13759/28. Find the common denominator of y and q.
28
Let q = -754/43 - -3901993/222525. Calculate the common denominator of q and 95/6.
10350
Calculate the smallest common multiple of (-84)/(-11) + (-992)/(-2728) and 1000.
1000
Let x(n) = n**2 + 17*n + 286. Calculate the least common multiple of x(-16) and 270.
270
Suppose 266*t - 265*t + 194 = 0. Let x = t + 769/4. Calculate the common denominator of x and 133/6.
12
Let y be (28/242)/((-4992)/(-492518)). Let m = y - -5/3872. What is the common denominator of -109/24 and m?
24
Suppose 2*v - 13 = -97. Let t be (-510)/v - 1/7. Calculate the common denominator of 3/t - (-195)/48 and -41/16.
16
Let y = -997 - -2258. What is the lowest common multiple of y and 91?
8827
Find the common denominator of 59/385 and 4/(-42) - ((-238)/(-357))/((-336)/(-951)).
3080
Suppose -4*o - v + 1275 = 815, 4*v + 98 = o. Calculate the lowest common multiple of 6 and o.
114
Suppose 3*c + c - 352 = 0. Find the common denominator of 22/c - 7/(-32) and -37/46.
736
Find the common denominator of ((-9394)/(-1793792))/((-2)/(-4)) and 71/2080.
29120
Let u = -279 + 1127/4. Suppose 206*t - 197*t = 54. Find the common denominator of u and 16/(t/(-4) + 4).
20
Let i = 620 - 636. Find the common denominator of (i/(-6) - 2)/(120/95) and -131/12.
36
Let c = -4176 + 4396. What is the lowest common multiple of c and 352?
1760
Suppose 0 = -3*f + 3*r + 729, -43*r + 198 = f - 39*r. What is the least common multiple of 133 and f?
31122
Calculate the common denominator of 2/(-3) - 60/(-64)*(-608)/(-880) and 47/440.
1320
Let v = 4079/10 + -406. Let f = -415332299/114755508 + -2/1687581. Let p = -31/153 - f. Calculate the common denominator of p and v.
60
Calculate the common denominator of (-1)/2 - ((-170191)/5658 + 30) and (-6 + 2)*5/81.
1863
Let j(w) = w**2 + 2*w - 4. Let m be j(-8). Let n be (-8)/(-20) - m/10. Calculate the lowest common multiple of 4/(0 + (-1)/n) and 18.
144
Calculate the common denominator of -3 + (5 - (-2 - 1766/(-380))) and 157/120.
2280
Suppose 3*u + 4051 + 14425 = 5*p, 5*p + 2*u = 18466. What is the least common multiple of 4 and p?
7388
What is the smallest common multiple of 8/22 + (-7 - 9588/(-132)) and 1353?
2706
What is the common denominator of 121/42 and 8/6 + 1175701/(-140448) + 7?
7392
Let i = -263569 - -104373265/396. Find the common denominator of 19 + 22/(880/(-830)) and i.
396
Suppose 2*c - 3*c + 3 = 0. Let m be 3 - (-10 + 8 - -2)/(-5 - 0). Suppose -m*k + g = -2*g - 9, 2*k - 1 = c*g. What is the least common multiple of 16 and k?
16
Let q be -5*(-6 + 7) + 5. Suppose -8*w - 69 + 245 = q. Calculate the least common multiple of 110 and w.
110
Let x(q) = 77*q**2 - 3*q. Let c be x(2). Let s be 3/(-14)*-31*c/(-3). Let o = s + 102247/154. Calculate the common denominator of o and -95/16.
176
Suppose 240*y - 193*y = 8930. Calculate the lowest common multiple of 304 and y.
1520
Let p(r) = r**3 - 14*r**2 - 31*r - 27. Let x be p(16). What is the common denominator of x/(2420/(-672)) - 3 and -121/60?
660
Suppose 60 = 9*t - 5*t. Let s be 1341/t - (-6)/10. Suppose -9*j + s = j. Calculate the least common multiple of 8 and j.
72
Let q be (27*(-14)/(-4))/(2/(-4)). Calculate the common denominator of (-9)/(-21) + (-451)/q and 4/(-132)*35 + (-1 - 0).
297
Let o be 991/(-5) - 4/(-20). Let t = -156 - o. Calculate the least common multiple of 12 and t.
84
Suppose 805*g - 15047893 - 4283920 + 5493863 = 0. What is the lowest common multiple of 33 and g?
189090
Let y(k) = 227*k**2 + 110*k + 456. Calculate the smallest common multiple of 24 and y(-4).
3648
Let l = 50179967/3212453760 - -1/583552. Calculate the common denominator of 16/3 and l.
5505
Suppose -3*u = 4*y - 579 + 565, 0 = 2*u - 4*y - 36. Calculate the smallest common multiple of 7 and u.
70
Let m = 283 - 157. Let f(t) = 3*t**2 + 15*t + 61. Let h be f(-4). What is the common denominator of 91/58 and (m/h)/((-16)/154)?
116
Let u = -7930 + 2241. Let w = -318593/56 - u. What is the common denominator of 95/56 and w?
56
Let v(d) = d**3 + 18*d**2 - 21*d - 38. Let f be v(-19). Suppose 4*b + 3*p = -0*p + 66, 4*b - 2*p - 56 = f. Calculate the lowest common multiple of b and 18.
90
Let s(u) = 43*u**2 + 1