2346
Let j be 166492/(-14) - (-2)/7. What is the smallest common multiple of 120 and 20/310 + j/(-186)?
960
Suppose 30*y + 78 = -72. Let h(u) = 2*u + 2*u + u**3 + 7*u**2 + 11 + 1. Calculate the lowest common multiple of h(y) and 6.
42
Let y = -6377 - -344369/54. Find the common denominator of 97/30 and y.
270
Let p = 5398 + -2776. What is the lowest common multiple of 138 and p?
2622
Let a = 30345 - 30210. Let v(k) = -17*k + 1. What is the least common multiple of v(-1) and a?
270
Let d be 1924 - (1 + -2) - 2. Suppose -8*c = -11*c + d. Let r = c - 29477/46. Find the common denominator of r and -63/4.
92
Suppose 47*n + 47922 = 50*n. Let d = n - 1118129/70. What is the common denominator of d and 91/4?
140
Find the common denominator of (7 - 8385/1248)*296/66 and 17/264.
264
Let y be (-1)/6*(-943101)/(-15). Let v = y + 10437. Let j = -22/5 - v. Find the common denominator of 9/20 and j.
20
Let n = -914 + 1751/2. What is the common denominator of (-47120)/(-95040) + 4/(-66) and n?
108
Let z = 77 + -133. Let p = 58 + z. What is the common denominator of (679/8)/7 - p and -31/11?
88
Let y = 10844538/23 - 471895. Suppose 13*o + 790 = 11*o + l, -4*o - 1584 = -3*l. Let a = o - y. Calculate the common denominator of a and -16/5.
115
Let u = 37111/45 - 7409/9. Calculate the common denominator of u and 4/(-10)*255/117.
195
Let r = 669 + -1417/2. Calculate the common denominator of r and 27/296.
296
Find the common denominator of -2 + 9 + 28 + -35 - (-17)/6552 and 71/1144.
72072
Let f(d) = 19*d - 96. Let b be f(5). What is the common denominator of 3 + b*(320/115 + -2) and 53/11?
253
Let j(r) = -244*r - 3088. What is the lowest common multiple of 98 and j(-27)?
24500
Suppose 1980 = -5*y + 4*v, -34*y = -37*y + 4*v - 1180. Let j = 918387/8 + -114396. Let c = j + y. Calculate the common denominator of c and -23/2.
8
What is the common denominator of 849/(-1132) + (-9665)/(-13356) and -56/3?
3339
Let d(s) = 4*s - 38. Let x be d(-6). Let i = -44 - x. Suppose -3*m = -4*m + i. What is the lowest common multiple of 16 and m?
144
What is the common denominator of (-10)/(-40) + (-5)/((-720)/(-732)) and 83/8120?
24360
Let p = 29007/8 + -3635. Let u be (56/10)/(6/(-15)). Calculate the common denominator of p and (14 - 1358/98) + (-96)/u.
8
Let s be (-4)/4*(-3 - 1). Suppose s*i = 5*i - d - 39, -5*d = -i + 35. Calculate the least common multiple of 30 and i.
120
Let k(u) = 11*u - 113. Let q be k(10). Calculate the common denominator of 12*(-3)/(-837)*q and (-34)/24*(-14)/1.
186
Suppose -4*r - 667 = -b, -4*b + 272*r = 270*r - 2570. What is the least common multiple of 90 and b?
6390
Let a = 2515 - 2513. What is the smallest common multiple of a and 142?
142
Let t(d) = 2*d**2 - 15*d - 33. Let z be t(19). Suppose 7*w - z - 296 = 0. Let j = 895/9 - w. What is the common denominator of j and -52/15?
45
Let o = 1532/91 - 417/28. What is the common denominator of o and ((-5532)/(-576) + -9)*-4?
156
Let o = 7449 + -89317/12. Let w = 496638 - 318841733/642. Find the common denominator of o and w.
1284
Let u(i) = -2*i**3 - 13*i**2 + 7*i + 2. Let y be u(-7). Suppose 1582 = c - 2*c. What is the common denominator of -73/14 and (y/28)/((-12)/c)?
84
Let q be 3 + -6 - -7 - 82. Calculate the smallest common multiple of 0 - 6/3 - (-8 + q) and 54.
756
Let z = -1863221/6230503 + -1/58229. What is the common denominator of -85/8 and z?
856
Suppose 2*u - 3*g - 17 = 0, 4*u - 10 = 5*g - 7*g. Suppose 0 = -3*q + 5*d + 20, 3*d = u*q - 31 - 14. Calculate the lowest common multiple of q and 24.
120
Let x(h) = -7*h - 24. Let s be x(-4). Suppose -s*j + 54 - 18 = 0. Calculate the lowest common multiple of 30 and j.
90
What is the smallest common multiple of 2356 and (-249 - -255) + (-3 + 0 - 1/(-1))?
2356
What is the common denominator of (-5 - (-111)/21)/(100/105) and 83/440?
440
Let u = 56/45065 + -492371289/90130. Let r = u + 5469. Calculate the common denominator of (-23 + 5)*18/(-32) and r.
40
Suppose 0 = -4*f - 2*o + 1658, f + 31*o = 26*o + 419. Let j = f + -390. What is the smallest common multiple of 120 and j?
120
Let a = 582891/316904 + -1/22636. Calculate the common denominator of 83/528 and a.
3696
Let f be 114/627 - 48838/(-11). Suppose f = 12*v - 0*v. Calculate the smallest common multiple of v and 6.
1110
Find the common denominator of -21/880 and (6215/22)/((-440)/(-32))*(-1)/(-48).
2640
Suppose -32*r = -20*r - 1944. Let y = -126 + r. Calculate the lowest common multiple of y and 12.
36
Let o = -12876 - -6331. Let c = 104655/16 + o. Find the common denominator of c and 93/32.
32
What is the common denominator of (-7000)/7280*(-31)/30 and 151/156?
156
Let m = 1157 - -6415. Let b = -227113/30 + m. Let v = 24864 + -746009/30. Find the common denominator of b and v.
30
Let c be (9 - (-384)/(-40)) + (-28)/(-5). Suppose -2*l - 4 = -c*p, 2 = 4*p + 5*l + 12. What is the common denominator of 3256/222 - (-1 + (-2 - p)) and -28/3?
3
Suppose -4*v = -h + 192, -2*h - v = -30 - 309. Suppose -5*d + h = 17. Suppose 6*m - 101 - d = 0. What is the lowest common multiple of 4 and m?
44
Suppose 3*f = -0*f - 9. Calculate the common denominator of 3/(-2) + 10/(-8) and (202/84)/(f/(-9)).
28
Let h(d) = d**3 - 7*d**2 - 245*d + 1520. Calculate the lowest common multiple of 10666 and h(6).
74662
Suppose -5*y = 4*j - 2*j - 94, 0 = -3*y - 2*j + 58. What is the common denominator of 4/14*(-41)/(-2) and ((-3)/y)/((-6)/438)?
42
Let z be (0 + -1)*(230 - 9). Let d = -205 - z. Calculate the lowest common multiple of 180 and d.
720
Let k = 185 + -361. What is the common denominator of 14/15 and -2 - (692/k)/(18/12)?
330
What is the common denominator of -2 + 79/6 + 1 and (3/8)/(16191/155228)?
42
Suppose -162 = -32*l + 83 + 203. Calculate the least common multiple of 14 and l.
14
Let g = -1 - -4. Let y = -129 + 151. Suppose 9 = 3*i, -i + y + 25 = 4*z. What is the smallest common multiple of z and g?
33
Let v be (8/(-3))/(12/(-18)). Suppose 2*r + 4*n = 18, -3*r + 4*n + 3 = -v. What is the least common multiple of 1 and r?
5
Let n be -12 - (-4)/(-24)*0. Find the common denominator of (74/n)/((-232)/16) and 143/24.
696
Let f(g) = 6*g**2 - 24*g + 55. What is the smallest common multiple of f(2) and 54?
1674
Let z = 16816 + -353065/21. Let r = 34349045/246 + -139630. What is the common denominator of r and z?
1722
Suppose -7*m = -141 - 181. Suppose 2*v = -2*i, 2*v - v = 3*i - 8. What is the smallest common multiple of m and i?
46
Let b(q) = 11*q**2 + 21*q - 4. Calculate the smallest common multiple of b(-3) and 208.
416
Let q(p) = 21*p**2 + 35*p - 19. Let a be q(-7). What is the common denominator of (-6 + 4608/a)/(12/(-755)) and -3/85?
510
Suppose 0 = 29*s - 29*s + 33*s - 39897. What is the least common multiple of 273 and s?
8463
Let g = 6368602155239/615663 - 10344299. Let j = -127852723/12313260 + g. Let n = j + 2/15. Calculate the common denominator of -109/14 and n.
28
Let h = 1/3216784 - -110174489/1167692592. Calculate the common denominator of h and 151/138.
33396
What is the least common multiple of 530 and ((-42)/(-28) + -2)*(7 + -3)*-212?
2120
Let f(h) = -6*h + 165. Let p = 231 - 153. Suppose 0 = x - 2*x + z + 14, -5*x - 3*z = -p. What is the smallest common multiple of x and f(23)?
135
Suppose 5976 = -3*m - 6*m. Let k = 668 + m. What is the least common multiple of k and 370?
740
Let g(a) = 54*a - 93. Calculate the least common multiple of 161 and g(3).
483
Let q = -28904 + 9017951/312. Find the common denominator of 109/216 and q.
2808
Let l(y) = 4*y - 72. Let h be l(18). Calculate the smallest common multiple of (-3 + -2)*(-2 - h/(-2)) and 25.
50
Suppose -30*g + 113 = -304 - 213. What is the least common multiple of g and 812?
2436
Let a = 6438 + -45092/7. Let i = 11970 + -586506/49. Find the common denominator of a and i.
49
Let b = -3/775 + 69017/10850. Find the common denominator of b and 8/49.
98
Suppose 3*t - i = -32, 6*i - 4*i = -t + 1. Suppose -5*y + 5 + 55 = 0. Calculate the smallest common multiple of (41/(-3) - -3)*t/12 and y.
24
Let c = 5672 - 5618. What is the least common multiple of 390 and c?
3510
Let k be 6347/(-19023) + (-2)/(-6). Let h = k + -133061/317050. What is the common denominator of h and (17/(-68))/((-8153)/6045 + (-8)/(-6))?
100
Let b be 2 + ((-4)/12)/(2/(-72)). Suppose -9*r = 