72
Suppose 28*h - 4 = 29*h, 98491 = -5*t - 4*h. Find the common denominator of 2/57 and t/14850 + (-12)/(-66).
1710
What is the least common multiple of 174 and ((12 - 170) + 13)/(-1)?
870
Suppose -4*n = 5*p - 7, 3*n - 9 = -5*p - 0*n. Calculate the smallest common multiple of (2 + -3)/(0 + p/(-420)) and 154.
1540
Let w = -18 - -16. Let q be 1/(((-1)/2)/(w - 0)). Suppose 3*i = k - 27, -31 = -0*k - k + q*i. Calculate the smallest common multiple of k and 3.
15
Let j = 3/13330 - 75987/26660. Find the common denominator of j and (0 - 99 - 2)/(-56).
280
Let b be (-1720458)/(-12)*(0 + 123/(-315)). Let w = b + 55985. Calculate the common denominator of 305/(-60)*(-2 + 5 + -1) and w.
210
Find the common denominator of (-2)/14 - 107969/(-424200) and -23/30.
600
Let t = 5694 + -4946. What is the lowest common multiple of 64 and t?
11968
What is the common denominator of ((-4)/(-48))/((-6)/(-37)) and 47/30?
360
Let d = -290 - -308. Let f(p) = p**2 - 10*p - 75. Calculate the smallest common multiple of d and f(-13).
2016
Let w(z) = -z**2 + 15*z + 79. Calculate the smallest common multiple of w(13) and 50.
1050
Let n = 326 - 346. What is the common denominator of 63/2 and (186/20)/(8/n)?
4
Suppose -2*r - 8 = 3*x - 3, 2 = -4*x - 5*r. Let q be ((-5 - x) + 4 + 3)/1. Calculate the common denominator of 2/12*127 - q and 34/9.
18
Let j = -3426100515865/2060214856 + -2/36789551. Let w = j - -6645/4. Calculate the common denominator of -54/7 and w.
56
Let t = -171/7 + 544/21. Calculate the common denominator of t and (-17)/(-1190)*1517/82.
420
Let s = -46 - -46. Let k(u) = u**3 - u**2 + 155. Let q be k(s). What is the common denominator of 12/(-4)*q/(-10) and -65/8?
8
Let a = -3/3133 + -1773269/9399. Let c = -1019/6 - a. Calculate the common denominator of (-66)/(-4)*1/3 and c.
6
Suppose 6*t = -4 + 28. Let o be 30*(168/165)/t. Let r = o + -449/66. Calculate the common denominator of -65/27 and r.
54
Let o = 433583/314730 + 1/6994. What is the common denominator of o and 10/115 + 194/2530?
495
Let k(t) = t**3 - 5*t**2 + t - 26. Suppose 8*c + 10 = -2*c. Let h = c - -179. What is the smallest common multiple of k(6) and h?
1424
Let n = 20/63 + -38321/252. Let j = n + 173. Let f = 39379/16 + -2467. Find the common denominator of f and j.
16
What is the common denominator of -109/14 and -1*5334/17100 - 4/(-38)?
1050
Let l be 1/(-2) - 241128/(-108). Let n = l - 2242. Calculate the common denominator of n and 3/2*262/(-54).
18
Let p = 994/395 + -2934119/1155770. Find the common denominator of p and -53/2508.
17556
Suppose -56 - 24 = -4*r + 3*f, 108 = 4*r + 4*f. Suppose -3267 = -10*h - r*h. Calculate the lowest common multiple of 81 and h.
891
Suppose 5*x - 11 = 4*q, 5*x - 3*q = 6*x - 6. What is the smallest common multiple of 2 and 23/x + (-16)/(-48)?
8
Let w = 26/463 + -14873/9260. Find the common denominator of w and 22/245.
980
Suppose 0 = f - 0*f - 9. Let s = 36 - f. Suppose -2*z - 55 = -4*z - 5*o, -z - 3*o = -s. What is the smallest common multiple of z and 15?
30
Suppose 84*u = 106121 + 111735 - 25580. What is the lowest common multiple of 6 and u?
4578
Let p(i) = 820*i + 7. Let g be p(-5). Let a be ((-54)/36)/(g/4). Let d = 593449/24558 + a. Calculate the common denominator of -3/14 and d.
42
Suppose -76*q + 6028 = -2180. Calculate the smallest common multiple of 24 and q.
216
Let t be (-12)/(-30) - 18/(-5). Let v be (3 - -1)/t*18. Find the common denominator of 4 + (-224)/v - 0 and 38/35.
315
What is the least common multiple of 1056 and (-184 + 178)/(3/(-54))?
9504
Let b = 1 + 22. Let o = 16 - b. What is the common denominator of (2/(-6))/(o - (-5241)/747) and 5/9?
36
Let j = -755/9 - -82. Let g = -315 + 49. Find the common denominator of j and g/24 + 3/(-12).
9
Let l(p) = 13*p**2 + 152*p - 756. Let y = 88 - 46. Calculate the smallest common multiple of l(-16) and y.
420
Let z = -114931 + 1838939/16. What is the common denominator of 122/(-147) + (-1)/(-2) and z?
2352
Calculate the common denominator of 1/((4/(-103))/1) - -3 and ((-1)/(9/6))/(56/1001*8).
96
Let n(d) = -d**3 - 6*d**2 - 10*d - 12. Let l be n(-4). Find the common denominator of 53/30 and (190/l - -1)/(9*3).
90
Let m be -1 - (449 + -6) - -5. Let p = m + 746. Calculate the lowest common multiple of p and 1.
307
Find the common denominator of 52/11 and (-4 - -11)*-1*64/(-380968).
74833
Suppose 5*u = 3*c - 20, 0 = 4*u - 23 + 3. Let w be (-13737)/152 + (c/8)/5. Calculate the common denominator of 71/90 and (-665)/w - 5 - -2.
90
Let r be ((-33)/2 - 1)*(-432)/(-252). What is the common denominator of -8/39 and 240/r + 712/91?
273
What is the lowest common multiple of 2465 and 3/((-45)/(-2)) - -182*168/180?
4930
Suppose 0 = 3*u + i + 29, -i + 30 = -5*u + i. What is the common denominator of (5 + 136)*(-1 + 603/594) and (u/20)/((-36)/(-365))?
198
Let v = 1719/4 - 821/2. Let y be -2 - (4 + -1 + (-8164)/1648). Let k = 677/721 + y. What is the common denominator of k and v?
28
Let y = 26132 - 261401/10. Calculate the common denominator of y and -21/11639.
116390
Let y = 5750/27 - 213. Let i be (-76905)/189*(-2)/274 - 2. Let d = i + -22/137. Calculate the common denominator of d and y.
189
Suppose -2*p - 4 - 2 = 2*t, -2*t + 4*p = -24. Let x(c) = -c**2 + 12*c + 19. Let a be x(13). Suppose i - a = -0*i. What is the least common multiple of t and i?
6
Let v = 1010/10049177 + 773261425273/126318154890. Let a = -37/419 + v. Let t = -46/5 + a. What is the common denominator of -119/24 and t?
24
Calculate the common denominator of 189*1359/18360 + -14 and 81/850.
3400
Let x = 22162 + -34386. What is the common denominator of -2 - (x/468)/16 and 24/143?
1287
Suppose 2*t = -4*z - 20, 29*t - 30*t + 5*z = 31. Calculate the least common multiple of (-12)/t + (-645)/(-20) and 27.
297
Suppose -3*n + 189 = q, -11*n + 8*n - 15 = 0. Calculate the smallest common multiple of q and 204.
204
Suppose -5*x - 1453*y + 46048 = -1457*y, 9184 = x - 4*y. Calculate the lowest common multiple of 14 and x.
64512
Suppose -267 - 213 = -24*c. What is the least common multiple of 4072 and c?
20360
Suppose -72 = 423*y - 432*y. Calculate the smallest common multiple of 311 and y.
2488
Let v be 1 - (-4 - (-2 + -6)). Let m be -4*(75/20)/v. Calculate the common denominator of (42/9 - m) + (-50)/(-132) and 51/16.
176
Let t be 1695/35 + 3/(-7). What is the common denominator of 91/116 and 10/(-4)*t/(-128)?
464
Find the common denominator of ((-19)/300)/(8/24) and ((-16)/24)/((-110)/(-114)).
1100
Calculate the common denominator of 18 + (-15507)/900 + -2*(-6)/(-9) and -53/480.
2400
Suppose -144*k - 3980 = -5*q - 149*k, -4*q + 5*k + 3265 = 0. Calculate the lowest common multiple of 3450 and q.
24150
Let o = 3105 + -3065. Calculate the lowest common multiple of 77 and o.
3080
Let p(o) = -1. Let v(b) = -7*b + 15. Let j(s) = 22*p(s) + 2*v(s). Calculate the least common multiple of 254 and j(0).
1016
Let g be (((-14)/(-56))/((-2)/44))/(12/48). Let o(j) = 23*j**2 - j - 1. Let b be o(-1). Let f = b + g. What is the least common multiple of 23 and f?
23
Let i be -4 + 54271/44*-29. Let o = i + 35775. Find the common denominator of (726/81)/((-16)/(-6)) and o.
396
Suppose -9*l = -8*l + 2. Let d(z) = -z**3 + z**2 + 2. Calculate the least common multiple of (-14)/42 - 67/(-3) and d(l).
154
Let s = -64724 + 14239327/220. What is the common denominator of 79/924 and s?
4620
Let i = 15912/7 + -2278. Let h(j) = j**3 - 9*j**2 + 18*j + 74. Let a be h(17). Let f = a + -24196/9. What is the common denominator of f and i?
63
Let t = 3111/7 - 445. Let i = -2636 - -10639/4. Calculate the common denominator of i and t.
28
Let m = -171 - -173. Suppose 0*s = s - m*h - 16, -3*s - h = -34. What is the least common multiple of s and 14?
84
What is the common denominator of 41/232 and ((35/(-435))/(-7))/(60/141)?
3480
Let l(n) = n**2 - 29*n - 23. Let a be l(13). Let s = -16137 + 355075/22. Find the common denominator of a/117*(-48)/32 and s.
286
Let r = -27 - -23. Let k = 11 - -23. What is the smallest common multiple of k and 2/r - (26/(-4) + 2)?
68
Let q = -51362 - -2670735/52. Calculate the common denominator of (-3)/4*7/35 and q.
260
Let v(x) = -21*x + 98. Let g be v(9). Let q = 6796/3 + -2244. Calculate the common denominator of q and (32/6)/((-286)/g).
33
Find the common