 -42. Find the common denominator of 16/p*(-35)/135 and -3 - ((-205)/(-105) - 4).
189
Let j = -23 + 44. Calculate the lowest common multiple of ((-12)/j)/((-5)/70) and 2.
8
Let b = 540/307 - 22697/31928. What is the common denominator of b and 5/1378?
5512
Let h be 4/30 + (0 - 387/(-135)). Let q be (-7 + -1503)/((-8)/h). Let s = 582 - q. Calculate the common denominator of s and -35/12.
12
Let o = -1628269/14 + 116311. Calculate the common denominator of o and 1 + -1 - (-49)/(-4).
28
Suppose -3*z = -11*z - 80. Let m(n) = n + 15. Let k(s) = s**3 - 9*s**2 + 8*s + 3. What is the lowest common multiple of k(8) and m(z)?
15
Let y = -183 + 187. Suppose y*o + 5 = 9*o. Calculate the smallest common multiple of o and 119.
119
Let y = 5245 + -5223. Suppose 0 = z - 4*z + 42. What is the lowest common multiple of z and y?
154
Let n = -1340 + 9343/7. Suppose -5*g - u = -40, 0 = g + 2*u - 11 + 3. Let y(s) = 2*s**2 - 19*s + 10. Find the common denominator of y(g) and n.
7
Suppose 24 = 2*m - 4*w - 0*w, -3*m - 2*w - 4 = 0. Suppose m = 59*c - 61*c. Calculate the least common multiple of 8 and c + 4 + (4 - 5).
8
Let g = 319779 - 159889607/500. Calculate the common denominator of ((-3)/(-4))/3*(-1313 - -1248) and g.
500
Let p be (-4)/6*(-6)/(-8)*-1997. Let d = p - 6998/7. Calculate the common denominator of d and 97/196.
196
Suppose -y - 7*p = -4*p + 10172, 0 = -y + 3*p - 10202. Let u = y + 387069/38. Calculate the common denominator of u and -5/4.
76
Suppose 34*m - 11*m = 3*m + 180. Calculate the lowest common multiple of m and 27378.
27378
Suppose 33*h - 6 = 126. Suppose -4*d - 5*j - 104 = -5*d, -h*j = -4*d + 352. What is the lowest common multiple of d and 30?
420
Let n = 66113/200 - 2643/8. Calculate the common denominator of n and 95/2012.
50300
Let f = -49 - 319. What is the common denominator of f/(-32)*(-1)/158 and -79/12?
948
Suppose 15*c - 4601 - 49 = 0. What is the lowest common multiple of c and 1085?
2170
Let k(c) = 5*c + 815. Calculate the lowest common multiple of 15 and k(-39).
1860
Let t be 26/(-8)*(-112)/(-110). Let q = 1203/440 + t. Let s = 79777/12 + -6652. Calculate the common denominator of s and q.
120
Calculate the common denominator of (7/((-70)/44) - -4)/((-84)/(-4585)) and 53/10596.
10596
Suppose 12163 = -95*a + 183163. What is the smallest common multiple of 450 and a?
1800
Let u be 6*(5 + 34/(-6)). Let a be u*(-18)/(-120) + (-17)/5. What is the common denominator of ((-132)/10 + a)/(-16 + 0) and 133/36?
360
Let l(b) = 3*b**2 + b - 844. Calculate the lowest common multiple of l(26) and 484.
2420
Let c = -774561652 - -3464614243253/4473. Let k = c + -8/639. Calculate the common denominator of (4 - 534/132)*94 and k.
77
Let h(i) = i**2 - 2*i + 11. Let o be h(6). Let c = -31 + o. Calculate the smallest common multiple of c and 44.
44
Let v = 8941/16 - 555. What is the common denominator of v and 65/906?
7248
Let q(l) = -l + 8. Let w be ((-2)/(-4))/(3/6). Suppose a - 28 = -4*o, 0 = -5*o + a - w + 45. Calculate the smallest common multiple of o and q(7).
8
What is the least common multiple of 12 and (-682541)/(-178) - (-5)/(-2)?
11496
Calculate the common denominator of -3 - (2571/2504 + (-11 - -9) + -2) and 49/48.
15024
Suppose -5*z + 65 = -5*c, -38 = -2*z + 4*c - 8. Calculate the smallest common multiple of z and 1553.
17083
Let p be 9/(-6) - (111/(-6) + -3). Suppose 206 = 42*o - 1642. Calculate the smallest common multiple of o and (67 + -61)*(0 - p/(-6)).
220
Calculate the common denominator of 878319/93906 - 9 - ((-6)/(-9))/2 and -35/22.
38258
Let i = 619633399/96990 + -338801/53. Let b = -85/61 + i. Find the common denominator of -119/60 and b.
60
Let l = 6977467/3030 + -877/303. Let r be (-5 + 9)*(-2302)/(-4). Let y = r - l. What is the common denominator of y and 73/4?
20
What is the common denominator of 35/248 and (8251/36)/37 + -8?
2232
Let n = -154 + 163. What is the least common multiple of n and 24 + (-6 + 12)*-1?
18
Let r be ((-64)/12)/((-5 - 4)/1647). Let v = r + -784. Calculate the least common multiple of 64 and v.
192
Calculate the common denominator of 139/30 and (183/(-2196))/(1/68*75).
450
Find the common denominator of 83/1716 and (2 - 51/(-39))*1/(8 - 128).
17160
Let o = -16/4751 - -46237/9497249. Let r = 77901/39980 + o. Find the common denominator of -23/15 and r.
60
Let g be (0 - -1) + 12*5/10. Suppose -4*d - 13*j + 8*j = -26, d - g = -j. Calculate the least common multiple of 18 and d.
18
Suppose 4*j = -3*r + 93 + 265, r - 266 = -3*j. Find the common denominator of 41/6 and 372/j + -2 + 6/6.
66
Let p(x) = 990*x - 1221. Calculate the lowest common multiple of p(3) and 15.
8745
Let w(d) = 8*d**2 + 72*d - 336. Calculate the smallest common multiple of 66 and w(6).
4224
Let z be (1/(-178))/((-408)/32). Let f = z + 15112/40851. What is the common denominator of f and (41/(-5))/((-18)/5)?
54
Let s = 124115/6 - 20790. Let b = -103 - s. What is the common denominator of b and 19?
6
Let x be (-5*10/75)/(2/(-36)). Suppose h - 2*i = 0, 3 + x = 5*h - 5*i. What is the least common multiple of h and 15?
30
Let s = -169 + 177. Find the common denominator of 86/21 and 237/63 + (8 - s).
21
Let l(q) = 23*q + 57. Let k be l(4). Suppose -k = -6*r + 91. Calculate the smallest common multiple of 8 and r.
40
Suppose -5*c - 906 = -y, 4*y - c - 10*c - 3678 = 0. Calculate the lowest common multiple of 260 and y.
4680
Let o = 2/27199 + 1930309/11151590. Find the common denominator of -65/18 and o.
3690
Let f(x) = -x**3 - 15*x**2 + 36*x + 41. Let c be f(-17). What is the smallest common multiple of 6*(-25)/(-30)*c and 20?
140
What is the common denominator of 23651/(-137886) - 2/28*-2 and 151/18?
6174
Let q be 1/(-2)*(-24)/(-674). Let x = q + -50707/10110. Calculate the common denominator of 103/30 and x.
30
Suppose 4*j - 1 = 3*u, -25 = -6*u + u. Suppose 0 = 7*a - 11*a. Suppose 52 = 3*s - 4*y, -2*y - 2*y + 8 = a. Calculate the least common multiple of s and j.
20
Calculate the common denominator of 30/(-11) + -6 + 4 and 6 - (-845)/(-60) - (-5 + 11/2).
132
Suppose 0 = -i - 4*t + 13, -i = -3*i - 3*t + 36. Let y be (-2514)/16 - i/14. Let k = y + 160. Find the common denominator of k and -3/22.
88
Let m(o) = -o**3 - o**2 + o + 65. Let y be m(0). Let s = 70 - y. What is the smallest common multiple of 2/(-5) + 2/s + 7 and 7?
7
Let f(m) = -8*m - 16. Let b be f(-8). Let p be 36/b + (-35361)/44. Let k = -177157/220 - p. Calculate the common denominator of k and -145/12.
60
Let m be (-1678)/(-10) + (-4)/(-20). Suppose -174*k = -180*k + m. What is the lowest common multiple of 20 and k?
140
Suppose 136 = -4*x + 5*i - 14, -37 = x - i. Let t = x + 39. Suppose -t*n + 9 = -31. What is the smallest common multiple of n and 10?
10
Let i = -946 + 947. Let u = 1 + 19. Let n = u + -10. Calculate the lowest common multiple of n and i.
10
Let j(z) = -2*z**3 - 14*z**2 - 21*z - 2. Let g(i) = -i**2 - 22*i - 62. Let u be g(-19). What is the least common multiple of j(u) and 24?
24
Let h(y) = y**3 - 6*y**2 - 4*y - 17. Let j be h(7). What is the lowest common multiple of 7/((-14)/(-9))*j and 10/(-4)*396/(-45)?
198
Let d = 24049 + -1298603/54. Calculate the common denominator of 107/18 and d.
54
Let b = 60 - 4. Suppose -5*w = -3*y - 685, -117 = 4*y - 137. Calculate the lowest common multiple of b and w.
280
Suppose -5*g - 3 = 7. Let v = -27 - -29. Calculate the least common multiple of v and 1*g/4*(3 - 7).
2
Let l = 523402 - 1629873799/3114. Find the common denominator of l and 19/12.
6228
Suppose 2*o = 4*a - 1376, 8*o = 5*a + 6*o - 1722. Let c be 2/4 + a/4. Calculate the common denominator of 11/6 and ((-50)/(-120))/(3/c).
12
Let b(h) = -h**3 + 32*h**2 + 53*h - 646. Let g = 28 + -6. Let j = -16 + g. Calculate the smallest common multiple of b(33) and j.
42
Suppose -20 - 36 = 8*x. Calculate the smallest common multiple of 3/(-21) - (85/x + -4) and 18.
144
Let p = -79 + 120. Suppose -a = -4*l + 98, 2*l + 4*a + 17 = 3*l. Let b = p - l. Calculate the smallest common multiple of 58 and b.
464
Let z(b) = b**2 - 3*b + 1. Let v be z(2). What is the least common multiple of (-2 + v - -2)/((-4)/248) and 2?
62
Let q(m) = -10*m**2 - 88*m + 48. Calculate the least common multiple of 1464 and q(-9).
7320
Let g = 5654 + -33787/6. Calculate the common denominator of g and -73/2