Calculate the common denominator of -71/172 and (-10 + 84617/8418)/(13/15 - 1).
10492
Let g = 33103/90 - 1821/5. Find the common denominator of 3/54*4716/(-48) and g.
72
Let o = 8462003/243 + -34823. What is the common denominator of -91/108 and o?
972
Let m = -31469/330 + 998/11. Calculate the common denominator of m and 145/2736.
13680
What is the common denominator of 95/154 and (-570)/429*(-3 + 1 + (-42)/(-24))?
2002
Suppose -4*k + 5*i + 32 = 0, -17*i = 2*k - 21*i - 16. Calculate the common denominator of 95/72 and (320/(-12))/k*(-55)/30.
72
What is the common denominator of -131/720 and 15/3 - (-396)/(-550) - 5?
3600
Suppose 0 = -53*u - 13*u + 2009 + 763. What is the smallest common multiple of u and 27?
378
Suppose -3*z - 14 = 3*r + 124, -5*z - 215 = 2*r. Let s = 143 + z. Calculate the smallest common multiple of s and 16.
816
Suppose 5*o = 3*i - 110, -5*o + 8 + 2 = i. What is the least common multiple of i and (-1)/(-24)*6 + (-60)/(-16)?
60
Let b = 3085/36 - 361/4. What is the common denominator of (7/((-105)/6))/(133/35 - -7) and b?
27
Let s = 2 + -1. Suppose 346055*o = 346014*o + 123. What is the least common multiple of s and o?
3
Let s = 40188 - 11976091/298. Calculate the common denominator of s and 83/22.
3278
Let w(o) = 50*o - 870. Let r = 3 - -4. Let z = r + -1. Calculate the least common multiple of w(18) and z.
30
Let z = 8409361 - 286352623/34. Let r = z - -12773. Calculate the common denominator of 19/4 and r.
68
Suppose 0 = 2*l - l + 706. Let a = l - -7772/11. Find the common denominator of (84/1386)/(1/6) and a.
11
Suppose -198 = -11*r + 2*r. Suppose r*d - 270 = -5*d. Calculate the least common multiple of 6 and d.
30
Suppose 0 = -g - 0*g + 12. Suppose -37 = -q + 4*j, -18 = -2*q - 20*j + 14*j. Calculate the least common multiple of g and q.
84
Calculate the common denominator of (1/(-6))/(104/9204) and (-3)/45*-3 + -3.
20
Let k be (-4)/(-10) + 6 + (-348)/(-30). Let v = k + -35. Let t = v + 21. Calculate the smallest common multiple of 12 and t.
12
Let s be 2*-1*-93*441/98. Let x = s - 489. What is the smallest common multiple of x and 2?
348
Let y = -44488219489/76603120 - -1/7660312. Let a = 2898/5 + y. Calculate the common denominator of a and -57/2.
80
Suppose 4*t - 60 = 8*t. Let i = -15 - t. Find the common denominator of i - 3/4*11/165 and -31/70.
140
Let w(c) = -127*c + 535. What is the lowest common multiple of w(-5) and 108?
7020
Let d be 135102/8 - (-1)/4. Let z = 77/294134 + -27315269068/1617737. Let p = z + d. Calculate the common denominator of -101/8 and p.
88
Suppose 23*a = 26*a - 186. Suppose -4*m + 4 = 0, 5*r = 2*m - 4*m + a. What is the smallest common multiple of 40 and r?
120
Let r = 288 - 286. Let u(d) = 39*d**2 + 3*d. What is the lowest common multiple of 18 and u(r)?
162
Let g = -1049/504 + -302/63. What is the common denominator of g and -79/620?
1240
Let n be 122/14 + 4/14. Suppose -803 = 21*k - 4940. Suppose k = n*w - 109. Calculate the lowest common multiple of 10 and w.
170
Calculate the common denominator of (2507/(-184) + 21)*2/61 and 73/62.
7564
Let q = 80580053/1232 + -917667/14. Let t = -1505/11 - q. Let g = 219553/22 + -9981. Find the common denominator of t and g.
176
Let p be (-2)/5*(5609 + -9)/(-10). Let n = 248 - p. Calculate the lowest common multiple of n and 12.
24
Let i = -202/7 + 1415/42. What is the common denominator of -9/10238 and i?
30714
Suppose 38 = -6*h - 4. Let a be ((-1820)/45)/h - (-4)/18. Let c = a - 4. What is the lowest common multiple of 6 and c?
6
Suppose -3*i - 5*g - 1 + 33 = 0, 0 = -5*i + 5*g. Calculate the lowest common multiple of i and (-2)/(-1) + 9 + (8 - 11).
8
Let b = -417/736 - -27983/37536. Calculate the common denominator of b and 2/17.
408
Suppose 2*x - 87762 = 3*p - 2*x, 2*p = 4*x - 58508. Let k be 60/(-88)*p/654. Let c = k + 2/1199. Calculate the common denominator of c and 51/8.
8
What is the least common multiple of ((-168)/(-20) - 0)/(15/225) and 231?
1386
Let w = 726944/2312409 - 266/869. Find the common denominator of 101/24 and w.
21288
Suppose -56*k + 55*k = 9*g - 44646, 0 = -5*k + 30. What is the smallest common multiple of 14 and g?
34720
Suppose -11 + 161 = 6*r. Suppose 91 = 3*s + 2*d + 14, 0 = -s - d + r. Calculate the smallest common multiple of s and 12.
108
Let n = 42 - 51. Let k(p) = -10*p - 13. Calculate the least common multiple of 3 and k(n).
231
Suppose 0 = 4*b - p - 37, -4*p = -2*b - 7*b + 85. Calculate the least common multiple of 99 and b.
99
Let s(w) = 7*w - 84. Let x = 663 + -630. What is the lowest common multiple of s(13) and x?
231
Let o = 8071157237/5960 - 1354221. Find the common denominator of o and 19/1788.
17880
Let h = -5512 - -6178. What is the lowest common multiple of 16 and h?
5328
Let g = -24432/13055 - -16/373. Let v = -533/469 + -10/67. What is the common denominator of v and g?
35
Let f(k) = -2*k + 2. Let m be f(-1). Suppose -3*a + 2*j + 3*j - m = 0, -4*j - 4 = 0. Calculate the common denominator of 89/10 and (-45)/2*a/(-10).
20
Let l = 66 + -101. What is the smallest common multiple of (-3)/15*l + 9 and 64?
64
Let r = -16244/308091 - 3/6041. Calculate the common denominator of 19/408 and r.
2856
Let b = 23 + 19. Find the common denominator of (-917)/(-198) + 22/(-99) + -4 and ((-15)/(-133))/(4/b).
418
Let x be (-4*4/(-32))/(1/4). Suppose 8 = -x*k - 6. What is the common denominator of -115/6 and ((35/(-6))/k)/(12/(-8))?
18
Let s be -3 + -1 + 5 - -6159. Suppose -5*v - 4*g - 10279 = -0*g, 5*g - s = 3*v. Find the common denominator of v/(-385) + (-5 - 0) and 97/4.
308
Let h = 1032/595 - 16/119. What is the common denominator of h and 3/262?
1310
Find the common denominator of 13/965 and (-2302)/579 - 68/(28 + -45).
2895
Suppose 0 = -176*s - 21*s - 121*s + 17808. What is the lowest common multiple of s and (0 - -43) + 1 + 0?
616
Suppose 5*k - 3*k + 4*l + 12 = 0, -k - 2 = l. Let f(a) = a - 33. Calculate the least common multiple of k/(-4)*(-43 - 1) and f(41).
88
Let m be 1 + (2 + -6 - 162). Find the common denominator of m/102 - (-8)/16 and -1/7.
119
Let k = 914/245 - 3/98. Let n = 26530 - 7507993/283. Find the common denominator of k and n.
2830
Suppose -x + 2*o + 23 = 4*x, 4*x - 22 = -2*o. Suppose -x*g + 3 + 2 = -5*s, -g + 2*s = 2. What is the least common multiple of (-12 + 21)*g/3 and 2?
12
Suppose -576 + 180 = -3*x. Let u = x - 81. Calculate the least common multiple of u and 5.
255
What is the common denominator of 71/1932 and ((-1)/14)/(3228/(-44654))?
1932
Calculate the common denominator of (454/(-9328))/(-1) + 15170/(-407) + 37 and (-3)/10 + -2 - 0.
2120
What is the common denominator of (-819)/(-1890)*5/46 and -9/230?
1380
Let t = -7517/15 - -1001/2. What is the common denominator of t and -89/60?
60
Let x = 327 - 321. Suppose 59 = -x*p + 77. What is the smallest common multiple of p and 9?
9
Let z = -9884909 - -16557222031/1675. Let s = -3/67 - z. Calculate the common denominator of -67/40 and s.
200
Suppose j + 4427 = 2*k, -k + 47*j = 42*j - 2236. Calculate the lowest common multiple of 5025 and k.
55275
Let i(q) = -6 + 5 - q - 5 - 2*q**2 + q**2 - q**3. Let k be i(0). What is the least common multiple of (-265)/(-15) - 2/k and 3?
18
Let h be (3/21)/(11/77). Suppose 9 + h = 5*a. Find the common denominator of 59/20 and (4 - a)/(-24*(-12)/(-99)).
80
Let r = 3012 + -2996. What is the smallest common multiple of 250 and r?
2000
Let b(w) = 163*w + 23. Calculate the least common multiple of b(3) and 14.
3584
Let m be 2/3*-6 - (-1213)/(-3). Let z = 13550/33 + m. Calculate the common denominator of z and -39/11.
11
Let b(r) = -r**2 - 17*r - 16. Let j(q) = q - 25. Let s be j(10). Calculate the least common multiple of b(s) and 22.
154
What is the common denominator of -11/72 and 2/(-756)*(-29475)/(-150)?
504
Suppose -2*r - r + 24 = 0. Let q(z) = z**2 - 3*z - 8. Let p be q(6). Suppose 3*k - 16 = -p. What is the smallest common multiple of k and r?
8
Let r be 45223/(-45) + 2*1. Let t = -5097/5 - r. Let m = t + 1234/63. What is the common denominator of m and -8/15?
105
Let n = -2227 - -57839/26. Let w be 7/14*(-652)/13. Let z = w + n. Find the common denominator of z and -5/8.
8
Let l = 215649 - 686626393/3184. Find the common denominator of 53/64 and l.
12736
Let y = 314721 + -52871881/168. Let v = 22/21 - y