 3*35/(-15). Find the common denominator of (-227)/y - (-3)/(-4) and -95/8.
40
Suppose -16*j = -11*j - 540. What is the smallest common multiple of j and 72?
216
Let s be (-1)/(-5)*2805085/(-204). Suppose 52*v - 61*v + 24795 = 0. Let u = v + s. What is the common denominator of 47/9 and u?
36
Let i = 20 - -37. Suppose -4*h = 3*f + 2*f - 105, -3*h + 3*f = -72. What is the least common multiple of 14/(-35) - i/(-5) and h?
275
What is the common denominator of 8/3327 and (2 - 1)*1635/270?
19962
Let h = 3/132889 - -9168429/40398256. Find the common denominator of h and 109/532.
2128
Suppose -38*x + 2487 + 1923 = 25*x. Calculate the least common multiple of 581 and x.
5810
Find the common denominator of ((-6)/8)/(243/534) and (-45)/36*((-1302)/(-6696) - (-2)/8).
54
Calculate the least common multiple of 48 and (16/6*5490/280)/(1/7).
2928
Find the common denominator of (-109618)/(-29988)*-3 + 14 + -3 and 145/18.
14994
Let q = 5105 + -3027. Suppose 0 = 5*k - 1022 - q. Suppose k = 4*a + 3*h, 0 = 7*a - 5*a - 4*h - 332. Calculate the least common multiple of a and 8.
632
Find the common denominator of (885/(-1652))/((-16)/7) and 18 + -12 + (-634)/144.
576
Let k = -1697 + 13599/8. Find the common denominator of k and 93/100.
200
Let n(r) = -3*r + 279. What is the lowest common multiple of 210 and n(63)?
630
What is the common denominator of (180/147)/(-12)*104/(-20) and -95/154?
1078
Let r(b) = 100*b - 788. What is the lowest common multiple of r(8) and 334?
2004
What is the common denominator of (111/(-12) - 2)*5/(-100) and 53/48?
48
Suppose 1646*k + 89 = 1655*k - 37. Let c = -6 + 8. Calculate the least common multiple of k and c.
14
Let c = -15085 + 2157173/143. What is the common denominator of 41/130 and c?
1430
Suppose 4*g - 7 = 17. What is the common denominator of (-3)/g*178/2 and 1204/(-774) + 9 + 1920/(-189)?
14
Let h = 157 - 94. Suppose 0 = 10*d - 1512 + 1442. Calculate the lowest common multiple of h and d.
63
Let c = 252 + -259. What is the common denominator of c - -6 - (-195)/9 and ((-33)/2)/(27/7)?
18
Let j be 9/(-6) - 78366/132. Let x = -593 - j. Calculate the common denominator of -3 + 119/12 + -1 and x.
132
Let d(o) = 2*o**2 - 3*o + 7. Let g be d(0). What is the common denominator of (-57)/66 + g/7 and -73/54?
594
Let s be 2/(-7) - (-438)/14. Let q = -8514 + 8555. Let w = q - s. What is the lowest common multiple of 10 and w?
10
Let z(c) = c**3 - 8*c**2 - 4*c + 72. Let m be z(9). Suppose 0 = 4*b + 4, 5*b = 5*n - 88 - m. Calculate the smallest common multiple of 72 and n.
360
Let t(z) = z**3 - 85*z**2 + 475*z + 20. Suppose 0 = -x - 4, -5*k + x = -4*k - 81. Calculate the least common multiple of t(79) and k.
693
Let c(y) = 254*y - 15904. Calculate the lowest common multiple of 3168 and c(64).
3168
Let o(d) = -3*d - 40. Let h be o(-14). Suppose 2*i + 3*i = -5*g + 20, 4 = -h*i - 5*g. Calculate the smallest common multiple of 2 and i.
8
Let t(k) = 15*k**2 + 94*k + 158. Calculate the least common multiple of t(-5) and (9*-2)/(6/(-30)).
630
Let p be 1/(-4) - (-6505)/84. Let w be ((-4)/(-6))/(40 + -44)*482. Let b = p + w. Find the common denominator of -85/36 and b.
252
Suppose 1113 = 3*r - 4*j, 0 = 19*r - 21*r - 4*j + 742. Let v = r + -360. Suppose 0 = 3*p - 2*p - 8. Calculate the least common multiple of v and p.
88
Let p(i) = -i**3 + 10*i**2 - 18*i - 12. Let y(l) = 2*l**2 + 6*l - 13. Let t be y(2). What is the least common multiple of p(t) and 8?
72
What is the common denominator of ((1/2)/(-1 + 176/136))/(-53) and -33/53?
530
Suppose 0 = 5*w - 18 + 3. Suppose 2*y + 238 = -w*c, -2*c = -c - 5*y + 68. What is the common denominator of -29/10 and (c/20)/(12/10)?
20
Calculate the common denominator of 19/(43263/22)*(-1125)/(-30) and -3/295.
20355
Let i(g) = -11*g + 44. Let v be i(13). Let u = v - -211. Calculate the least common multiple of 40 and u.
560
Suppose -1 = y + 2*d - 7*d, 4*d - 24 = -5*y. Suppose 2*a = y*a + 752. Let m = a - -1563/4. Calculate the common denominator of m and 105/58.
116
Let z be ((-2)/3)/(8/(-36)). Suppose 0 = 4*a - 9 - 7, -3*d - 36 = -z*a. Calculate the lowest common multiple of 8 and d/(-3)*36/16.
24
Let f = -500 - -510. What is the lowest common multiple of f and 3690/42 + ((-4)/(-28) - 0)?
440
Suppose -6 = 3*l - 3*x, 0 = -2*l - 3*x + 39 - 18. Let m = -5 - -38. Let s = m + -27. What is the least common multiple of s and l?
6
Let l(a) = -a + 30. Suppose 5*h = -4*o + 20 + 23, -4 = 4*h. Calculate the smallest common multiple of 92 and l(o).
828
Let q = 1078 + -2213/2. Let z = 316169 - 6007202/19. Calculate the common denominator of q and z.
38
Let r = 19 + 67. Let t be (r/(-4))/((-8)/(-16)). Let d = -19 - t. Calculate the smallest common multiple of 12 and d.
24
Let p = -2815 - -2836. Calculate the least common multiple of p and 63.
63
Let s = 165 + -113. Suppose -s = -4*v + 2*h, -16 = -v - 2*h + 4*h. Calculate the common denominator of (-956)/(-80) - (-3)/v and 7/11.
55
Calculate the common denominator of (-16)/(-85)*1794/1656 and 64/27.
2295
Suppose 34*d = 919 + 1291. Suppose -3*g + 20 = -2*h - 41, -3*g + h = -d. What is the least common multiple of 16 and g?
368
Let u = -4584 + 18730. Let c = -226249/16 + u. Find the common denominator of c and 97/4.
16
Let c(p) = -p**3 + 7*p**2 - p - 16. Let x be c(4). Suppose 0 = -7*i - 0*i + x. Calculate the lowest common multiple of i and 20.
20
Let d(x) = -9*x + 3. Let j be (-36)/(-9) - 7*2. Let t(q) = -q**3 - 11*q**2 - 8*q + 19. Let y be t(j). Calculate the smallest common multiple of 24 and d(y).
24
Suppose w + 4*w = 4*d + 53, 2*d = 6. Suppose w*o - 4*o = 450. Calculate the lowest common multiple of 10 and o.
50
Let q = 7367 - 7355. What is the lowest common multiple of 1040 and q?
3120
Suppose 5*b = -5*l + 1035, -684 = -5*l + 5*b + 311. Let a = l + -191. Calculate the least common multiple of a and 30.
60
Let t(h) = -808*h + 42. Let k be t(1). Calculate the common denominator of 87/4 and (-30)/10 + k/(-156) + -2.
156
Let n(o) = 2*o + 4. Let k be n(7). Suppose 4*i = 14 + k. Let j(c) = -c**3 + 10*c**2 + 4*c - 22. Calculate the lowest common multiple of j(10) and i.
72
Let m = -840413/27 + 31129. Find the common denominator of m and -1 + ((-167)/(-108) - 0).
108
Let k be ((-193)/18 - -4)*(-39912)/15. Let u = k - 17885. What is the common denominator of 11/45 and u?
45
Suppose -5*p + 4*q + 55 - 157 = 0, 0 = 2*p - q + 39. Let f = -2098 + 50303/24. Calculate the common denominator of 15/(-30)*(-4)/p and f.
72
Calculate the common denominator of -65/42 and (-25)/(-100) + (-4 - 33/(-21)).
84
Suppose 3*f + 1588*i - 1591*i = 2043, 3*i + 3411 = 5*f. What is the least common multiple of 304 and f?
2736
Let q(r) = -r + 9. Let s be q(11). Let m = -16 - -17. What is the common denominator of 23/49 and (946/(-88))/(5/s + m)?
294
Let p = -662513 - -7798440413/11771. Let l = p - 88446307/3884430. Let m = 229/10 + l. Calculate the common denominator of m and 31/15.
165
Let k = -333 - -503. Suppose -k = 3*i - 188. What is the lowest common multiple of i and 10?
30
Let u be ((-10)/(-4))/((-3)/6). Let m = u + 15. Suppose j = -4*o + 35, -3*j + 1684 - 1711 = 0. What is the lowest common multiple of o and m?
110
Suppose -109 = 15*l - 64. What is the common denominator of -18/5 and l - (-4 + (-354)/(-756))?
630
Suppose -29 = c + v, 4*c - 4*v + 1 + 147 = 0. Calculate the smallest common multiple of (1 + -6)/(3/c - 0) and 11.
55
Let r be 0/(-4*(-5)/(-5)). Suppose 144 = -9*u - r*u. Calculate the lowest common multiple of 1*(-6)/2 - (-26 + u) and 2.
78
What is the smallest common multiple of 2/(-17) - (18 + (-3008)/136) and 21?
84
Let p be ((-10860)/(-14))/(2 + (-216)/56). Let z = 533609/1274 + p. Find the common denominator of z and 8/9.
882
Let h be (-1267885878564)/34520*6/(-630). Let s = -61216072/175 + h. Let d = s - 20/863. What is the common denominator of 89/16 and d?
112
Let i = 1647481/50 - 32948. Calculate the common denominator of i and 6 + 78/(-600)*46.
50
Let y = -72 + 71. Calculate the common denominator of -17/25 and (79*y/(-6))/((-75)/(-10)).
225
Let p(r) = r**3 - r**2 - 13*r + 23. Let b be p(4). Let m(y) = -y**2 + 23*y - 38. Calculate the lowest common multiple of 7 and m(b).
266
Let b = -160119/16 + 10012. Let t(x) = 14*x + 118. Let d be t(-10). What is the common denominator of (