Let z = -353/154 - -128561/53130. What is the common denominator of z and 101/736?
11040
Let d(g) = 3*g + 87. Let r(v) = -2*v**2 + 5*v + 35. Let l be r(7). Calculate the smallest common multiple of d(l) and 27.
27
Let o be -8 + 1 - ((32 - 14 - 4) + -421). Suppose -144 = 2*s - 620. What is the common denominator of 7/16 and s*(-5)/o + 1?
80
Let n = -6440 - -173822/27. Find the common denominator of (2 - (-2040)/(-108)) + 80/(-180) and n.
27
Let p(n) = -2*n + 35. Let b be p(14). Suppose r - 11 = -o + 2, 4*r = -o + 43. Let y = b + r. Calculate the lowest common multiple of 9 and y.
153
Let c = -2034 - -20431/10. Find the common denominator of 65/344 and c.
1720
Let y be ((-6)/(-9))/((-1)/33). Calculate the common denominator of (-9)/(-5346)*174 - (-4)/y and ((-82)/4)/(29/(-2)).
261
Let b(h) = -27*h + 520. Calculate the smallest common multiple of b(19) and 225.
1575
Let q = 12495 - 1287021/103. Let c = q + 2925/412. Let t = -5293 - -105831/20. Calculate the common denominator of c and t.
20
Let t = -31 - -33. Let b(x) = -2*x**3 - 17*x + x**3 - 1 - 1 - 62*x**t + 72*x**2. Calculate the lowest common multiple of 8 and b(5).
152
Let o be 1/2 + (-3436)/(-624). Let g = o - -29/39. Calculate the common denominator of g and (-579)/40 - -5 - -3*(-9)/(-72).
20
Suppose -2*x - 5*f = -104, 5*x - 130 - 88 = -2*f. Suppose 5*i + 17 = x. Let k(c) = 5*c - 5. Calculate the smallest common multiple of 26 and k(i).
260
Let d = 12581/9 + -1419. Let h = d + 1739/99. Find the common denominator of -3 - ((-20)/(-17) - 3) and h.
187
Let v = -650 + 649. Calculate the common denominator of (-725)/40 - (-7 - v) and 17/8.
8
Let g(v) = -1 - 2*v + 3*v - 2. Let n = -199253 + 199256. What is the least common multiple of n and g(4)?
3
Suppose 8476*j - 1152 = 8474*j. Calculate the lowest common multiple of j and 168.
4032
Calculate the common denominator of 76/1645 and 1423890/95175 + (5 - 20).
14805
Let l = 12209/26 + -467. What is the common denominator of 115/2442 and l?
31746
Let l(r) = -r - 25. Suppose 3*f + 5*v = 5*f + 33, -4*f = 2*v + 6. What is the least common multiple of f/(-22) + 885/33 and l(-31)?
54
Suppose -291070 = 607*b - 2846*b. Let j = 26 - 14. Suppose 3*w - 54 = j. What is the least common multiple of w and b?
1430
Suppose 2 = 3*t - 2*p, -5*t + 59*p - 55*p = 0. Let d(b) = b + 2. What is the lowest common multiple of d(5) and t?
28
Suppose 453 + 153 = 3*z. Let t = 5695/444 + 1/148. Calculate the common denominator of z/(-66) - (-4 - (-10)/3) and t.
66
Let a = -416222 - -124866743/300. Calculate the common denominator of -149/420 and a.
2100
Let t(h) = -6*h + 168. Let l = -109 - -142. Calculate the smallest common multiple of t(21) and l.
462
What is the common denominator of (-314)/6360 + ((-363)/(-30) - 12) and 41/90?
9540
Suppose 6*o + 32634 = -43*o. Let l = -656 - o. Calculate the smallest common multiple of 89 and l.
890
Let r(o) = -7*o - 7. Let h(a) = -a**2 + 8*a - 5. Let i be h(6). Let f be r(i). Find the common denominator of -55/2 and (-350)/f + (-8)/6.
12
Let k be (-27)/108 + (-81)/(-4). Suppose 3*a = -u + 122, -u - k = 4*u. Find the common denominator of ((-47)/(-16))/(6/(-24)*-4) and a.
16
Suppose -4*q = 74 + 30. Let u be q/(-7) - (-18)/63. Suppose 5*j + 2*r - 20 = 0, -j + 4*r + u = r. What is the least common multiple of 26 and j?
52
Let z = -29 - -32. Find the common denominator of (-21)/(-306)*(-412)/28 and (-46)/z*(-126)/224.
408
Suppose 0 = -21*d + 3293 + 907. Calculate the smallest common multiple of d and 104.
2600
Let o(s) = 2*s - 6. Let a be o(0). What is the common denominator of ((-744)/70 - -1) + a/(-14) and (-382)/(-88) - 1/4?
55
Let n = 86663/18 - 4816. Let l be ((-375)/(-225))/(1/(-54)). Calculate the common denominator of (-40)/l - 4060/792 and n.
198
What is the common denominator of ((-1235)/(-399))/((-144)/(-21)) and -81/1712?
15408
Calculate the common denominator of (-59)/708 + 311/5964 and -23/14.
994
Let t(u) = -u**2 + 10*u - 9. Let w be t(9). Let z = -14520 - -362953/25. Find the common denominator of (-9 + w)*(-14)/(-15) and z.
25
Let k(s) = 1161*s**2 - 13*s + 5. Let i be k(2). Let c = -106355/23 + i. Calculate the common denominator of 23/3 and c.
69
Let v = -1787/4 + 98357/220. Find the common denominator of v and 31/1155.
1155
What is the common denominator of ((-35)/(-2))/(13266/(-5302)) - (-14)/2 and 137/144?
9648
Let k(y) be the first derivative of 5*y**3/3 - 83*y**2/2 - 24*y + 113. What is the smallest common multiple of k(17) and 126?
630
Let o = 10 + -2. Suppose 2*b = -3*l + 731, -3 = -b - 4*l + 385. Calculate the lowest common multiple of o and b.
352
Let h = -2 - 185. Find the common denominator of -97/4 and 4 + 26/(-6) + h/96.
32
Let u be (40/(-6))/((96/18)/(-8)). Let p(q) = -11*q + 26. Let g(z) = 23*z - 51. Let v(d) = -6*g(d) - 13*p(d). What is the least common multiple of v(u) and 30?
90
Suppose -220 + 184 = 6*m, m = 2*j - 4710. Calculate the least common multiple of 48 and j.
2352
Calculate the common denominator of -8 - -5 - (-1005)/198 and ((-14)/3 + 4)/((-8)/158).
66
Let l(w) = 366*w - 5. Let a be l(-3). Let d be (-1)/3 - a/(-12). Let h = d + 93. What is the common denominator of 67/4 and h?
4
Suppose 5*b + 4 = 4*c - 2, 0 = 2*b + 3*c - 16. Suppose -7*d + b*d = -60. Let s = 173 + -141. Calculate the least common multiple of d and s.
96
Let d = 123 + 105. Calculate the least common multiple of 120 and d.
2280
Let s = 1594/39 + -37585/897. Find the common denominator of -85/506 and s.
1518
Let o = -71667 + 105995509/1479. Calculate the common denominator of 32/5 and o.
7395
Find the common denominator of 37/420 and (-3)/((-21)/(-2)) + (-5486074)/138600 + 40.
6300
Let q be (-1712 - -1) + 24/(-3 + 11). Let z = q + 1719. Suppose -25 = -5*s - 4*w, -3*s - 5*w + 15 = -0*s. What is the least common multiple of z and s?
55
Let j = 13 + -7. Suppose j = r - 1. Let a(t) = t**3 - 11*t**2 + 11*t + 1. Calculate the lowest common multiple of r and a(10).
77
Let h = -2419/1674 - -58/31. Calculate the common denominator of (-22)/8*14 + -1 and h.
54
Let d = 12983/646650 + -1/12933. Calculate the common denominator of 149/690 and d.
3450
Calculate the lowest common multiple of 12 and ((-2)/9 + (-380)/18)*(-1518)/44.
2208
Let h(q) = -11*q**3 - 65*q**2 + 15*q + 63. Calculate the lowest common multiple of h(-6) and 133/2 - (-2)/(-4).
198
Suppose -12870 = 135*x - 168*x. Calculate the least common multiple of x and 234.
1170
Suppose 0 = -k - 5*o + 1804, -5*k + 5*o + 8904 = o. Calculate the least common multiple of 40 and k.
8920
Let d = 4572 + -4252. What is the lowest common multiple of 32 and d?
320
Suppose 1494 = 288*f - 285*f - 2*a, -5*f = 3*a - 2490. Calculate the lowest common multiple of 4150 and f.
12450
Let r = 116863439/78 - 1498274. Let x = 74/3 + r. What is the common denominator of ((-3)/(-44))/(2/(-100)) and x?
286
Let h be -5 + 3 - (0 + 4). What is the common denominator of ((-12)/9)/(152/(-30) - h) and 8/(-80)*(123 + 1)?
35
Let k be (-18)/(-81) - 122/(-18). Suppose k*p - 93 = 5. Find the common denominator of (-3 - (-165)/(-18))*(-4)/p and 2/21.
21
Let q = 8318/3 - 41689981/15036. Calculate the common denominator of -71/6 and q.
15036
Let i be (-32)/(-12) + (-4)/6. Let d(w) = 120*w**2 + w - 4. Let j be d(i). Let s = j + -6683/14. Calculate the common denominator of 97/8 and s.
56
Let y be (-167 - (16 + -8))/1. Let n = -171 - y. What is the smallest common multiple of 270 and n?
540
Let l = 968302367315/22 - 44027479925. Let w = 13739420 + l. Let i = w + -3463. Find the common denominator of -107/26 and i.
286
Let u(r) = 4*r**2 - 2*r - 47. Let m be u(4). Suppose -54*y = -m*y - 180. What is the smallest common multiple of 412 and y?
412
Find the common denominator of 113/90 and 16/12*6 - 137754/16200.
900
Let m(h) = 5*h**2 - 8*h - 11. Suppose 4*w + 11 = 4*o - 13, -3*w - 9 = 0. Let g(q) = 4*q. What is the smallest common multiple of m(o) and g(3)?
60
Suppose -2*z = -63*z - 25*z + 154456. Calculate the smallest common multiple of z and 3.
5388
Let x be ((-9)/173)/(-9) - 0. Let r = -1713/2941 - x. Find the common denominator of r and -61/2.
34
Let i = 14234 - 13889. Calculate the smallest common multiple of i and 24.
2760
Let p = 18314 - 1373522/75. What is the common denominator of p and -10/3?
75
What is the common deno