*q - 30, -3*q = 3*r + 6. Let g be (-4)/18*-3 - 50/75. Calculate the least common multiple of 6 and (-30 + r)*((-36)/21 - g).
48
Suppose 4*q + j - 315 = 2*j, 0 = -5*q + j + 394. Suppose -i + 3*t = q, -5*i - 265 = t + 194. Find the common denominator of 83/20 and i/70 - (-9)/12.
20
Let f = 44639743/446 + -100089. What is the common denominator of 55/12 and f?
2676
What is the common denominator of -21/986 and (-36 - (-8)/2)*(6 + (-707)/119)?
986
Suppose -34*j + 1283 + 247 = 0. Suppose j*t + 21 = 156. Calculate the smallest common multiple of t and 12.
12
Let o = 18049 - 1209231/67. Let u = -1905/469 + o. Find the common denominator of u and 127/70.
70
Calculate the least common multiple of 74 and (-5)/(-3)*9324/140.
222
Let n = -4311 + 4839. What is the lowest common multiple of n and 99?
1584
Let r(w) = 5*w + 85. Suppose 21*n - 30 = 23*n. What is the smallest common multiple of 86 and r(n)?
430
Let l(v) = 4*v - 4. Let i be l(10). Suppose -i = -4*d - x - 2*x, 20 = 2*d + 2*x. What is the lowest common multiple of d and (-5654)/(-110) - (-6)/10?
156
Let c = -5687 + 278690/49. Find the common denominator of 93/308 and c.
2156
Let n = -70/321 + 13367/1926. Let w = 3/11392 - -745987/717696. What is the common denominator of n and w?
126
Suppose -37*u - 4*u + 1517 = 0. What is the lowest common multiple of u and 148?
148
Calculate the common denominator of (15/6)/(-1 + -4) - (-2399)/4954 and -8.
2477
What is the common denominator of -143/24 and 18930/(-9252) - ((-8)/1 + 6)?
6168
Let r = -398 - -284. Find the common denominator of ((-4)/(-8))/(1*32/r) and 69/8.
32
Let p = 26622 + -25942. Calculate the smallest common multiple of p and 442.
8840
Calculate the common denominator of -29/1064 and (6 - 2/4)/((-33)/18 + 3).
1064
Let x(h) = h**3 - 25*h**2 + 95*h + 33. Calculate the smallest common multiple of 25266 and x(5).
101064
Let v = -13463/10 - -1349. Let y = -64 + 61. Calculate the common denominator of v and ((-45)/(-14))/(y + (-138)/(-42)).
20
Find the common denominator of (-87)/(-1595)*5/174 and 111/580.
6380
Let a = 5492 + -5473. What is the least common multiple of 6 and a?
114
Let a(i) = -30*i - 66*i**2 - i**3 + 11 + 173*i**2 - 61*i**2 - 59*i**2. Let u = -2 + 3. What is the smallest common multiple of a(-10) and u?
11
Let m = 13 - 51/4. What is the common denominator of 3/33*(2 + -4) + (-833)/(-44) and m?
4
Let b(w) = 2*w**3 - 16*w**2 - 10*w + 85. Calculate the lowest common multiple of 485 and b(8).
485
Let s = 1148627/94 - 12219. Find the common denominator of 5/28 and s.
1316
Suppose -20*k = 25*k - 182340. What is the smallest common multiple of 6 and k?
12156
Suppose -4*v + 3*t = 75 - 261, -3*v + 4*t + 143 = 0. Let d be 1/11 + (75894/(-143))/(-3). Let p = d + -147. Calculate the smallest common multiple of p and v.
90
Let b(t) = 14*t**2 + 261*t + 2371. Calculate the smallest common multiple of b(-9) and 68.
1156
Let o = -533678/4857 - -2535183662/22570479. Let v be ((-2)/5)/((-1)/(15/(-13941))). Let i = v + o. What is the common denominator of i and 83/2?
18
Suppose 4 = 4*m - 4. Suppose 9 = 11*p - m. What is the common denominator of (-105)/25*1*p/6 and -89/22?
110
Let r be ((-34)/(-3) + 2)*(-36)/(-30). Suppose 0 = -3*d + 17 + r. Suppose -18 = -13*l + d*l. What is the common denominator of l and -23/5?
5
Let i(f) = -5*f - 4. Let h be i(4). Let w(r) = -1631*r + 122331. Calculate the smallest common multiple of (h/(-9))/(2/27) and w(75).
36
Let a(o) = o**3 - 7*o**2 - 9*o + 9. Let n(p) = 5*p + 108. Let z(f) = 3*f - 5. Let w be z(-5). Calculate the least common multiple of n(w) and a(8).
8
What is the common denominator of 54/7 and (13/(-12129))/((-7)/6)?
2177
Suppose -3*d + 200 = -1863*t + 1867*t, 4*t = -4. Calculate the least common multiple of 128 and d.
2176
Let p be 1/(3/18*2). Suppose 3*y - p = 3. Suppose -4*g = 5*a - 20, -3*g - 475 + 487 = 3*a. What is the smallest common multiple of y and a?
4
Let m = 770 - 474. Let b = -96 + m. What is the lowest common multiple of b and 180?
1800
Suppose -5*h + 210 = -3*f, 43*h - f = 42*h + 44. Calculate the lowest common multiple of h and 93.
1209
Let m = -196 + 769/4. What is the common denominator of (1/(-324))/((-1288)/428 - -3) and m?
324
Let g = -69 + 70. Let t = -633/5 + 8231/60. Find the common denominator of t and 3 + g + (-26)/(-36).
36
Find the common denominator of -11*(-3)/792*-13 and -145/342.
1368
Let c(w) = w**3 + 17*w**2 - 4*w - 56. What is the smallest common multiple of 32 and c(-6)?
2912
Let m = 17619538707/5176 - 3404084. Calculate the common denominator of 73/72 and m.
46584
Calculate the common denominator of -17/10 and (3 - (-4968)/(-1742))*(18 + -15)/9.
8710
Let o = 3 + 2. Let w be 15/10 - 325/(-10). Suppose -4*j = -4*u - 16, 17*j - 5*u = 21*j - w. Calculate the lowest common multiple of j and o.
30
Calculate the common denominator of (-132)/140*(-40)/840 and 23/20.
980
Let f = 19813 - 19807. Suppose -5*v + 20 = 0, -6*h + h + 3*v + 3 = 0. Calculate the lowest common multiple of f and h.
6
Let c = 345 - 339. Suppose c*o = -41 + 131. What is the smallest common multiple of o and 45?
45
Suppose -11*s = -15*s - 4*f + 17032, -5*s = -3*f - 21322. What is the smallest common multiple of 20 and s?
42620
Suppose 126*k - 26*k = 9500. Calculate the lowest common multiple of k and 190.
190
What is the least common multiple of 42*(-3 + 260/70) and 1745?
10470
Suppose 0 = 5*i + d - 595, -5*d + 7*d = -10. Calculate the smallest common multiple of 56 and i.
840
Let p = 3/395 - 584/24885. Find the common denominator of p and 53/1218.
3654
Suppose 40916 + 2456 = 7*p. Let d = -74225/12 + p. Find the common denominator of d and -3 - -62*5/180.
36
Let v = -7039 - -7055. Let z(j) = 6*j - 12. Suppose -15 = -5*w + 2*w. Calculate the lowest common multiple of v and z(w).
144
Let i be (-1 + 1922/15)*(-12708)/(-14). Let o = i - 115391. Let v = o + -249/28. What is the common denominator of -31/26 and v?
260
Let i(y) = 181*y - 152. What is the least common multiple of ((-1)/(-2))/(1/12) and i(1)?
174
Let c = 4669 - 4408. Calculate the least common multiple of c and 174.
522
Let p(t) = 4*t**3 + t**2 - t + 1. Let w be p(3). Let i = w + -108. Find the common denominator of 99/20 and (-2)/i + ((-6848)/42)/8.
60
Let b = 190 - 154. What is the smallest common multiple of -12*(-15)/b*3 and 15?
15
Find the common denominator of 32/1161 and (102/(-143276))/((-4)/(-78)*(-11)/(-77)).
32508
Suppose 2*f - 18076 = 3*w - 2*f, -w - 6034 = 3*f. Let l = w + 9388. Let x = l - 272194/81. Find the common denominator of x and -7/11.
891
Find the common denominator of (-984015)/(-70374) - (-1 + 15) and -31/22.
6974
Let a be (402/(-186) - -2)*(-3734)/28. Let x = -2/217 + a. Let i = -1/998 - -9731/499. Find the common denominator of x and i.
2
Let m be 4*(-2)/(-4) + -97. Let o = 205 + m. Calculate the lowest common multiple of 12 and o.
660
Let s = 112392218/15 - 7487563. Let j = 5249 - s. Calculate the common denominator of j and 2/25.
75
What is the smallest common multiple of 52 and (-1280)/384*132/(-10)?
572
Find the common denominator of -2 + -2 + (-406)/(-80) and (-32)/(-176) - (-7312)/5280.
120
Suppose -2*i + 4*a + 372 - 100 = 0, 4*i = -3*a + 522. Suppose 0 = -5*s + k + i, -4*s = -3*k + k - 102. Calculate the lowest common multiple of s and 36.
108
Suppose 4*r = 2*r - 3*r. Suppose 4*j - 4 = -r*a - 3*a, 2*a + 4 = -j. Suppose -2*y - j = -36. What is the least common multiple of y and 108?
432
Let l = -8/1463 - 97285/134596. What is the common denominator of -59/4 and l?
92
Calculate the common denominator of 35/96 and (-62538)/3168 + 11 + 11/((-77)/(-63)).
1056
Let i be (40/(-30) - -3)*(-12)/(-10). Suppose -5*n + i*z + 253 - 20 = 0, n - 57 = 3*z. Calculate the lowest common multiple of 25 and n.
225
Suppose -w - 5*c - 115 = 0, -2255*w - 105 = -2254*w + 3*c. Suppose -2*r + 0*r = 38. What is the common denominator of (r/(-10))/((-12)/w) and 61/22?
44
Let q = -374094221/2968 + 7107645/53. Let p = 8062 - q. What is the common denominator of 2/4 + 32/7 and p?
56
Let z = 28 + 28. Suppose 0*s = -2*p + 2*s - 214, 5*p + 5*s + 575 = 0. Let y = p - -129. What is the lowest common multiple of y and z?
504
Let d = 2/3303 + -86983/6606. Let v be 756748/(-10)*10/(-72). Let l = v + -10513. Calculate the common denominator of l and d.