h, -3*h + 15 = 3*k. What is the common denominator of k + 146/15 + (-14 - -9) and 67/(-12) - (-1)/(-1)?
60
Suppose r - 5*y = -y + 288, -r - 5*y = -342. Calculate the least common multiple of 24 and r.
312
Let o = -2678080 + 5913200521/2208. What is the common denominator of 137/96 and o?
2208
Suppose u - 8 = -4*f - 19, -5*f - 15 = u. Calculate the common denominator of 89/66 and 3 + f/52*(-404)/(-24).
858
Let a = -1153691/360 - -16028/5. Find the common denominator of a and 119/162.
648
Let u(w) = -w**3 - 9*w**2 + 32*w - 36. Calculate the least common multiple of 14 and u(-13).
224
Let u = -119118/7 + 17064. Let i = 47 - u. What is the common denominator of -107/176 and i?
1232
Let u(o) = 92*o**2 - 37*o + 21. What is the lowest common multiple of u(2) and 225?
1575
Calculate the common denominator of 7/9654 and (-97)/6 - (-84 + 64).
9654
Let n = -15008 + 15104. What is the lowest common multiple of n and 768?
768
Suppose 7*q - 12*q = -35. Suppose r = -p + 6*p - 3356, 2*p - 9*r = 1265. What is the smallest common multiple of p and q?
4711
Suppose -42*v + 43*v = m - 1242, -4*m + 2*v + 4960 = 0. What is the lowest common multiple of 10 and m?
6190
Suppose -4*o + o - 3*l - 264 = 0, 3*o - 3*l + 294 = 0. Let u = -44027/57187 + -4/1079. Find the common denominator of (o/30)/((-3)/(-6)) and u.
265
Suppose 5*m = -5*y + 560, -177*y + 178*y - 4 = 0. What is the smallest common multiple of 792 and m?
2376
Suppose -10*w = 1 + 69. Let b be w*((-10 - -4) + 1). Find the common denominator of -27/7 and -3 - (1 - (-65)/b).
7
Let d = 36 + -45. Let m(t) = 5*t + 4. Calculate the smallest common multiple of m(7) and (6/d)/((-3)/108).
312
Let s = -947/4 - -240. Find the common denominator of (-14)/3*(-3672)/5984 and s.
44
Suppose 210*l = 820 + 1280. Let c(g) = -g**3 - g**2 - g + 20. What is the least common multiple of l and c(0)?
20
Let p be (-90534)/460410*(-4 - -3)*2. Let h = p - 76/745. Find the common denominator of (1 - (-22)/9) + -4 and h.
927
Let y = -6634087/171 + 38796. Calculate the common denominator of y and -59/3.
171
Find the common denominator of ((-48)/(-138))/(-4) - (-40599)/235980 and -23/2280.
2280
Suppose -253 = -8*g + 83. Suppose 2*j + 44 = 3*x, 0 = -2*x - 7*j + 2*j + g. Calculate the least common multiple of x and 4.
16
Let x(g) = g**3 + 9*g**2 + 9*g - 40. Let j be x(-7). Find the common denominator of j + (3173/420 - 8/14) and -3/20.
60
Calculate the common denominator of -17/22 and 2*(-10214)/5056 - (-28)/7.
13904
Suppose 54 = -5*t + 4*v, -35*t + 2*v = -37*t. What is the common denominator of t and 97/86?
86
Calculate the common denominator of -149/72 and 25/((-10500)/3765) + (1 - -5).
504
Suppose -j + 281 = 3*y, -j - 20*y + 329 = -23*y. Let p(c) = c**2 + 5*c - 6. What is the lowest common multiple of j and p(-7)?
2440
Let q = 1698 - 1044. Let f = q + -511. Calculate the lowest common multiple of f and 52.
572
Find the common denominator of 131/12 and (1*355/(-210))/(-9 - -70 - 8).
4452
What is the common denominator of 173*(-4)/(-336) + -4 and -39/196?
588
Let b = 10470 + -136086/13. What is the common denominator of b and 20/(-22)*7/(-2)?
143
Let w = -4951763/164 - -30192. Let v = w + -3/41. Let m = 4/3 + v. What is the common denominator of m and -141/70?
420
Suppose b = -s + 555, -31*s - 565 = -b - 30*s. What is the least common multiple of b and 168?
1680
Let g = -5375 - -4905. Let h be (30/(-4))/((-4)/(-251)). Let s = g - h. What is the common denominator of -9/14 and s?
56
Let c(r) = 18*r + 52. Let v be c(-12). Let u = 110 + v. Calculate the common denominator of -4 - (1 + -2) - 318/u and -71/8.
72
Let a be 11/(-66) + 481/6. Let h = a + -71. Suppose z - 20 = -h*z. What is the least common multiple of z and 13?
26
Let p = 2/28911010075 + 2452492073582917/1001159367887175. Let x = p + 9/3298. Find the common denominator of x and -3 + 51/(-8)*1.
168
Suppose -9*c + 34 = -38. Let f be 3/(-2) - 4/c. Find the common denominator of 53/2 and f/(-75)*2350/(-120).
90
Let h(c) = -2*c - 29. Let f be h(-12). What is the common denominator of -74/57 and f/1 + 595/60?
228
Suppose -2*o + 4*z = -7 - 23, 5*o - 3*z - 68 = 0. Suppose 4*q = -o*q + 748. What is the smallest common multiple of 28 and q?
308
Let g = 22/57 - -1327/57. What is the common denominator of (-4)/(-2) - 2007/858 and g?
858
Let l(u) = 2*u**2 + 83*u - 1189. Calculate the lowest common multiple of 146 and l(-53).
2190
Let r be (-8542562)/4614060 - 4/22. Let a = 2/20973 - r. Find the common denominator of a and -103/24.
120
Let i be (-1 + 5)*796/(-5). Let m = i - -646. Let f = -99/7 - -682/21. What is the common denominator of m and f?
15
Let s = 30068 + -120359/4. Let g = -12729/5152 + -50/161. Calculate the common denominator of s and g.
32
Let x = -1172 + 172315/147. Find the common denominator of 65/56 and x.
1176
Let b = 3490 + -2542. Calculate the lowest common multiple of b and 24.
1896
Let m be (-108)/(-8)*102/(-9). Calculate the common denominator of m/66 + (-3)/(-4) and 11/8 + 43/(-86).
88
Let m = 4038 + -3975. What is the smallest common multiple of m and 210?
630
Suppose 263 = 119*i - 927. What is the smallest common multiple of i and 565?
1130
Calculate the lowest common multiple of 2314/65 + -17 + (-6)/10 and 75.
450
Suppose 2*o - 11 = -4*k + 37, 56 = 2*o + 2*k. Let l = -48678 - -778777/16. What is the common denominator of l and (-4)/4 + 22/o?
16
Let r be -2 + (-12)/(-30) + (-2)/5. Calculate the smallest common multiple of 1 and 630/77 + -2 + r/11.
6
Let u = 52345/6 - 8727. Calculate the common denominator of (6/195)/((-24)/(-305)) and u.
156
Let h be 2/6 + (-88)/66. Find the common denominator of 179/120 and 2152/576 - (h + 5).
360
Calculate the common denominator of 26923/(-120336) + (-2 - (-75)/36) and -53/352.
24288
Calculate the common denominator of -1*7 + 38780/5250 and (-158)/18 - (-13 + 10).
225
Suppose 0 = 45*p - 41*p - 12. Suppose -86 = -5*h - 4*x, 8*h - 96 = p*h + 6*x. What is the lowest common multiple of h and 81?
162
Let o = 5102/3 - 1689. What is the common denominator of o and -4/57?
57
What is the common denominator of 4/1189 and (-9)/(-2)*10336/4104?
3567
Calculate the smallest common multiple of 840 and 85 + 0 - 1118/86.
2520
Let h be 45300/96 - 5/(-40). Suppose -h = -4*z - 3*t, 660 = 5*z - 3*t + 70. Calculate the least common multiple of z and 10.
590
Calculate the common denominator of (16/(-88) - 2174/(-704))*34/(-306) and -26/309.
9888
Suppose r - 81 = -24. Let k = r + -47. Suppose -53 = -5*y + 47. What is the least common multiple of y and k?
20
Suppose -175*j - 1000 = -180*j. Let s = 232 - j. What is the least common multiple of s and 4?
32
Let s(q) = -3*q + 6. Let j be s(-4). Let p = 3 - j. Calculate the common denominator of p/24*62/(-5) and -29/4.
4
Suppose 0 = 2*d - 10, -138 = -0*c + c - d. Let n = c + 369. What is the least common multiple of n and 10?
1180
Let v = -1469 + 16172/11. Let i = -8975575092436/8415 - -1066616171. Let k = i + -4/765. Calculate the common denominator of v and k.
33
Suppose -53*i - 158 - 160 = 0. What is the common denominator of -29/69 and 8 - i/(-648)*1006?
1242
Suppose -85 = -5*h - 5*u, -u = 3*h - 14 - 27. Calculate the least common multiple of h and 2/(-4) + 177/6 - -3.
96
Find the common denominator of 95/1318 and (-262)/8*(-4)/(-12).
7908
What is the common denominator of -25/272 and ((-646)/(-57))/(1 - 19/(-3))?
2992
Let m = 4742 - 4382. What is the lowest common multiple of 480 and m?
1440
Let h be -1*(26 - 0) + -2. Let r be (51580/h)/(16578/(-21)). Let n = r + 17/307. What is the common denominator of n and 109/22?
198
Suppose -9*j - 259 + 61 = 0. Let t = j - -25. Calculate the smallest common multiple of t and 50.
150
Let t(d) = d**2 - 13*d + 16. Let g(b) = 37*b + 4. Calculate the smallest common multiple of t(12) and g(0).
4
Let j = 84443/105 + -10469/14. Let s = -363/5 + j. Find the common denominator of -133/18 and s.
18
Find the common denominator of 119/6 and 4/(-6)*(-9 - 0) + 4923405/(-813630).
4398
What is the common denominator of 11/12 and (4/13984)/((-156)/(-104))?
5244
Let s = -2352 + 529199/225. Find the common denominator of -53/123 and s.
9225
Let z = 9713/15360 - -1/1024. Let u be (3 + (0 - -3))*(-1)/3. Calculate the common denominator of (-11)/10*u - 48/(-72) and z.
30
Let c = -175/11 -