1243/4 + 4731595/134. Find the common denominator of 27/8 and g.
536
Suppose 20690 = 5*i - 16515. Let a = 104217/14 - i. What is the common denominator of a and 105/22?
154
Let l = -1764 + 3601/2. Let u be (3 + -7)*(-7113)/12. Let h = u - 33115/14. Calculate the common denominator of h and l.
14
Calculate the common denominator of (-76)/(-18)*(-335)/157316 and 57/8.
42264
Suppose 2*n - 17 = -5*f, 4*n - 5*f = 38 + 41. Calculate the common denominator of (18/(-8))/3 - 2 and 8*(-1)/(-8) - (-30)/n.
8
Let p = -47 - -95. Suppose -12 = 4*j - p. Suppose j*m - 6*m = 45. Calculate the least common multiple of m and 33.
165
Let k = -1/31282 - -766767/11198956. Calculate the common denominator of 93/1790 and k.
3580
Let d(l) = -2*l**2 + 4*l - 9. Let j be d(3). Find the common denominator of -31/56 and 1/((-10)/j)*(-9)/4.
56
Let y = 45 - 50. Calculate the common denominator of 158/y*-2*2/16 and -173/30.
30
Let x(z) = z + 11. Let b be x(-9). Find the common denominator of 13/35 and 1 + 135/42 + 2 + b.
70
Let c be 421465/(-22) + (-1)/2. Let v = c + 344945/18. Let m = -793029/28 + 28319. What is the common denominator of m and v?
252
Suppose -4*k + 89 = 5*g, -4*g + 16 + 36 = 2*k. Suppose 25 = 3*n - 2. Suppose 73 = n*i + 19. What is the lowest common multiple of k and i?
48
Suppose -32*s + 59*s - 1350 = 0. What is the lowest common multiple of 87 and s?
4350
Calculate the least common multiple of 3388 and (22/(-8))/(22/(-176)).
3388
Suppose a + 28 = 5*a. Suppose -a*o - 4*o = -88. What is the common denominator of 3/(-7) - o/16 and 11/10?
70
Let i(v) = v**3 + 3*v**2 + v + 1176. What is the least common multiple of 140 and i(0)?
5880
Suppose w - 2 = -4*p + 2, 4*p + 20 = -3*w. What is the common denominator of 4/w - (-455)/60 and 105/464?
464
Suppose 0 = -j - 2*j - 6, -2*l = 4*j + 228. Let p = -862 - -753. Let h = p - l. What is the lowest common multiple of 11 and h?
11
Suppose -12*d + d + 308 = 0. Suppose -d*f + 126 = -22*f. Find the common denominator of 124/f*(231/(-18))/(-11) and 52/9.
9
Suppose 116607*w - 116618*w = -398750. What is the least common multiple of 6 and w?
108750
Find the common denominator of 50/513 and -2*(-99)/380 - 0.
5130
Calculate the common denominator of -29/49 and (-56903)/(-106722) + 6/9*4/(-6).
3234
Let w = -1/4377 - 58845/5836. What is the common denominator of w and 2 + 2 - 6495/1800 - (-2)/12?
120
Let r(m) = -m + 1. Let l be r(-16). Suppose 2*u - 5*u + 4*p + l = 0, -5*p = 10. Suppose -6*b + 21 = -u. What is the smallest common multiple of b and 8?
8
Suppose 7*u - 4*u = 0, -t = 4*u - 342. What is the common denominator of -73/4 and 38/t*(-294)/4?
12
Suppose 3*f - 3 = -6, -2*f + 2320 = 2*v. Let o = -89629 - -707719/8. Let p = v + o. What is the common denominator of p and -37/6?
24
Suppose 5 = 4*p - 3. Let t = 221561/33 - 6712. Calculate the common denominator of t and p - (726/378)/((-2)/(-6)).
231
Suppose -8*b + 4009 = 361. Calculate the common denominator of -7/3 and 77/42*(-9)/b.
912
Let k = 3473 + -3446. Let x = 31 - 22. Calculate the smallest common multiple of k and x.
27
Let g = 136630 - 28282469/207. Calculate the common denominator of g and 61/30.
2070
Let k(g) = 4*g**2 + 1 - 10*g**3 - 10 + 9*g**3 + g + 0. Let h be k(3). What is the common denominator of 10/24*(23/h + 3) and 53/30?
90
Let t = 4/7171 - -509029/200788. Find the common denominator of 29/16 and t.
112
Suppose -29*h + 33*h - 5*v = 451, 4*h = -v + 481. Calculate the lowest common multiple of 272 and h.
1904
Let k(y) be the first derivative of -3*y**2/2 - 28*y - 157. Let d = -41 - -25. What is the least common multiple of k(d) and 14?
140
Let u(j) = -902*j + 54. Let o be u(10). Let v = o - -161323/18. Find the common denominator of 130/(-12) + -4 + 50/15 and v.
18
Let g = -12/3097 - -96535/136268. What is the common denominator of g and 5/72?
792
What is the common denominator of 87/1274 and (-1)/(-24)*(-505)/(-65)?
15288
Suppose -38*g = 5703 + 23747. Let f = -765 - g. Calculate the smallest common multiple of 1/((-3)/2)*-18 and f.
60
Let i = 66 + -76. Calculate the least common multiple of 34 and ((-756)/(-135))/((-4)/i).
238
Let r = -2558533/421827 + 2278/379. Calculate the common denominator of r and -55/1113.
1113
Let f(w) = 7*w + 222. Let t be f(-39). What is the common denominator of 85/t*134/20 and 2/4*74/(-7)?
42
Suppose 0 = -10*t + 3*t + 112. Suppose 0 = -q - 7 + 223. Suppose -u - 3*u = -s - 177, 0 = 5*u + 4*s - q. Calculate the lowest common multiple of u and t.
176
Suppose 23*o + 4 = 24*o, -951 = k - 4*o. Calculate the common denominator of (-4)/(-6)*149/(-4) and (-2 + k/(-10))/(90/(-6)).
30
Let j(h) = -3*h**3 - 14*h**2 + 44*h - 4. Let o be j(-13). Let p = -43739/12 + o. Calculate the common denominator of 133/204 and p.
204
Find the common denominator of ((-6)/4 - (-12181)/8112)/(1/(-5)) and -47/108.
5616
Suppose -7164 = -10*s - 6924. What is the smallest common multiple of 159 and s?
1272
Let z = 5830340/290241 + -2391/119. Calculate the common denominator of z and 8/1355.
12195
Let o(l) = -l - 2. Let u be o(6). Let v(z) = z**3 + 10*z**2 + 17*z + 6. Let a be v(u). Find the common denominator of 73/9 and (102/(-27) - -4)/(1/a).
9
Suppose 0 = a + 4*a - 240. Let m(p) = -p**3 - 7*p**2 - 6*p + 24. What is the smallest common multiple of m(-6) and a?
48
Suppose h = 5*c - 89, 2*c - h = -0*h + 35. What is the common denominator of (-7)/12*c/4 and 774/(-69) - (-98 + 85)?
184
Let s = -867391/24 - -36147. Find the common denominator of s and 4829/(-880) - (-3)/(-15).
48
Calculate the least common multiple of 22 and (-187)/(-4) + 39/12.
550
Suppose 5*u - 227 = -o, 0*u + 647 = 3*o - 2*u. Suppose -5186 = -1354*t + 540 + 9168. What is the smallest common multiple of o and t?
2387
Let d be ((-9)/(-12) - 1) + (-4919316)/(-1232). Let m = d - 7985/2. Calculate the common denominator of -7/22 and m.
154
Let k(b) = 11*b**2 - 74*b - 237. What is the lowest common multiple of 81 and k(-6)?
5427
Let n = -3 + -28. Let x = 27 + n. What is the least common multiple of 104*x*2/(-32) and 4?
52
Suppose 0*a - 80 = -2*a. Suppose -99 - 86 = -3*p - 173. What is the least common multiple of a and p?
40
Let l(c) = -8*c - 340. Let g(y) = 3*y + 7. Let q be g(-5). Calculate the least common multiple of (-124)/q + 2/4 and l(-44).
48
Let f(w) = w**2 - 14*w - 60. Let p be f(-4). Calculate the lowest common multiple of ((-148)/(-6))/(p/(-324)*-18) and 9.
333
Suppose -6*o = -1 - 17. Suppose o*t + 75 = 21. Calculate the common denominator of (8/(320/183))/(t/8) and -49/12.
60
Let k = -4003 + 4747. What is the lowest common multiple of 120 and k?
3720
Let f(n) = n**3 - 4*n**2 + 11*n - 7. Let b be f(5). Let m = -62 + b. Suppose -m = -57*r + 56*r. Calculate the least common multiple of r and 29.
319
What is the least common multiple of (4760/(-100))/(1/(-105)*3) and 68?
3332
Let m(g) be the second derivative of g**4/12 + 2*g**3 + 25*g**2 - 2*g + 14. What is the lowest common multiple of ((-3)/2 - -2)*24 and m(-7)?
60
Suppose 3*x + 5*s = 28, -3*x + 2*x = 4*s - 14. Suppose -y = -4*k, 2*k = -3*y + 2*y + x. Let b = 172 - 170. Calculate the smallest common multiple of y and b.
4
Let p = 164 - 27. Suppose -p*t = -142*t + 165. Calculate the lowest common multiple of 36 and t.
396
Suppose 3*g + 4*y = 4128, 13*y - 17*y = 5*g - 6872. What is the smallest common multiple of 8 and g?
2744
Let s = -13 + 89. Let b(x) = x**2 - x - 35. Let q be b(6). Calculate the least common multiple of s and q/(-30) - (-3)/((-36)/(-118)).
380
Let w = -23/314578 + -1692212/30356777. Let b = 1837/4 + -354549/772. Let d = w - b. Find the common denominator of 13/6 and d.
66
Let q = -3407 + 4977. What is the smallest common multiple of q and 10?
1570
Let q = -127146/326029 + 13/6094. What is the common denominator of q and ((-375)/(-45))/(7 + -1)?
1926
Let n(t) = -39*t + 1336. Calculate the least common multiple of n(-42) and 9.
26766
Let g(y) = 19*y**2 + 4. What is the least common multiple of (1 - 6/(-4))/(4165/(-280) - -15) and g(-3)?
700
Suppose 80*s - 76*s - 160 = 0. Suppose -11*a - 461 = 133. Let b = -46 - a. Calculate the smallest common multiple of b and s.
40
Let q = 2284 - 826. Let y = -1404250 - -21085606/15. Let k = y - q. Calculate the common denominator of -101/12 and k.
60
Let t = -205 - -200. Find the common 