 -149/48.
48
Calculate the common denominator of -53/8 and (-3 + 85/25)/((-4864)/(-2375)).
128
Let a be 1508/(-26) - (-1 + 3). Find the common denominator of 0 - -4 - (-1 + (-296)/a) and -101/12.
60
Let d = -218455986665526 - -18215733991804245635/83384. Let x = d - -290/10423. Let v = x - -3758. What is the common denominator of v and -93/38?
152
Let j(i) = -3*i**3 - 2*i**2 + 2*i. Suppose 5*n - 22 = 3*d, 5*d = -246*n + 244*n + 15. What is the lowest common multiple of d and j(-2)?
12
Let y(d) = -3*d + 54. Let q be y(22). Calculate the common denominator of (-13)/(-15) - (16 + q) and 23/15.
15
Find the common denominator of (-4)/(-10) - (-118)/(-120) and (-23)/(-10) + -28 + -25 + 29 + 31.
60
Let h be (3 - 0)*(-2652)/126. Let z = -4329/70 - h. Calculate the common denominator of z and -25/11.
110
Let i = 71/14 - 67705/13342. Let y = i - -12461/22872. Let x = -9/499 + -25323/6986. Find the common denominator of x and y.
168
Let o = -184 + 254. What is the smallest common multiple of 28 and 177/(-59) + o/((-2)/(-1))?
224
Let l be (0 - (-170)/4)/(4/(-8)). Let y = l - -99. Calculate the smallest common multiple of y and 62.
434
Suppose -20 = 10*o - 0. Let q be (-3 + 0)*1*(o - -1). Suppose 0 = -k - 2*x + 8, -4*x + 11 = q*k - 11. What is the lowest common multiple of 30 and k?
30
Let h = -29100533/1535 - -18958. Let u be (4/36*-33)/(1228/(-3114)). Let j = h - u. Find the common denominator of j and 71/9.
90
Let u(j) = -j**3 + 14*j**2 + 31*j + 22. Let a be u(16). Calculate the common denominator of (-1251)/a*1*(-2)/(-54) and 91/6.
18
Let c = 6714 - 67179/10. Find the common denominator of c and (-2)/10 - (-789)/(-330).
110
Let a(b) = -6*b + 52. Suppose -10*o + 7 = -9*o. What is the least common multiple of a(o) and 10?
10
Find the common denominator of -79/3040 and -1 + 663/(-26) + 3.
3040
Let x = 10173 - 4465949/439. Let p = 22397/1756 + x. Suppose v + 78 = -3*v + 5*c, -5*v - 89 = -2*c. Calculate the common denominator of v and p.
4
Let r be 30 - (16*-1)/(-4). Let q be 4 - (1 + 3 - r). Let t = 32 - q. Calculate the smallest common multiple of 16 and t.
48
Let u(o) = -o**3 + 4*o**2 + 5*o + 3. Let g = -914 - -939. Suppose 4*x = 0, 20*b - x + 140 = g*b. What is the lowest common multiple of u(5) and b?
84
What is the common denominator of -17/65 and ((-29)/(-870))/(26/575)?
780
Suppose -4*a - 3 = -7. Let w be (5/15 + (-4)/12)/a. Suppose 5*x - 2*s - 20 + 9 = 0, w = x + s - 5. Calculate the lowest common multiple of x and 69.
69
Calculate the common denominator of 30 + -44 + (-68612)/(-4890) and 32/3.
2445
Let t(g) = 6381*g + 12952. What is the lowest common multiple of t(-2) and (-1)/(-1 - (-30)/32)?
1520
Let i be 1013564/(-198) + (-2)/(-9). Let v = -6968 + 12089. Let o = v + i. Calculate the common denominator of o and -77/6.
66
Suppose 512 = 3*f - 9*m + 13*m, -f = 2*m - 168. Calculate the smallest common multiple of f and 506.
4048
Let b = -13690/9 + 10075147/6624. Calculate the common denominator of 81/644 and b.
5152
Let p = -73 - -298. Suppose 0 = 13*c - p - 230. What is the common denominator of (-153)/(-77) - (-2)/7 and c?
11
Let j = -152 - -229. What is the common denominator of 17/3 and 3 - (-1)/((-9)/j*1)?
9
Let m(g) = -g**3 + 6*g**2 + 5*g + 8. Let o be m(7). Suppose -58*d + 34*d + 24 = 0. What is the common denominator of d + (o/(-15) - -2) and -30?
5
Let y be (8/(-44060))/(-3 + 2)*-10. Let g = y + 328343/52872. Calculate the common denominator of -101/2 and g.
24
Let j be (-25442)/(-12) - 4 - 2. Let n = j + -2107. Let v = 6/29 - -75/58. What is the common denominator of n and v?
6
Suppose 0 = 9*o - 17*o - 1240. Let z = -149 - o. Let y(x) = 2*x - 1. Calculate the least common multiple of y(2) and z.
6
Let o = -28 + 46. Suppose o*q + 16 = 2*q. Calculate the common denominator of -11/2 and q + 3 + 0 + 168/(-304).
38
Let g = -155 - -37. Let m = 119 + g. Suppose 2*r + 15 = 5*r. What is the least common multiple of m and r?
5
Suppose -85*b - 6*b = -782964. What is the lowest common multiple of 10 and b?
43020
Let w = -3406 + 3415. Calculate the least common multiple of w and 3.
9
Let p(u) = 4*u + 19. Let y be p(-6). Let c = 27 + y. Suppose -f = -5*i - 18, -3*f - 2*i + c = -i. Calculate the lowest common multiple of 7 and f.
56
Let g(h) = h**3 + h**2 - 3*h - 6. Let k be g(5). Let x = 4851 - 9933/2. Let v = x + k. Calculate the common denominator of v and -71/30.
30
Suppose -5*s + 4*w = -22, -2*w + 4*w + 10 = 2*s. Calculate the lowest common multiple of 19 and (27/54)/(s/60).
285
Suppose 3*j - 2 = 202. Suppose -391*u + 3306 = -2799 - 2497. What is the lowest common multiple of u and j?
748
Let r be 60/45*(-27)/6. What is the common denominator of 44 and 5356/7488 + 10/r?
144
Let r = -1076065/28262844 + 2/261693. What is the common denominator of -61/756 and r?
6804
Let d = 11469 + -11465. What is the lowest common multiple of 8050 and d?
16100
Let c = 18 + -8. Let r(g) = g**3 - 15*g**2 - 253*g + 4466. What is the lowest common multiple of r(16) and c?
3370
Let j = 1839 - 40397/22. What is the common denominator of j and -5/82?
902
Suppose -t = 4*q - 8, -4*t - 49*q + 53*q = -32. Let l(c) = 5*c + 4. What is the least common multiple of l(8) and t?
88
Calculate the smallest common multiple of (24/(-15))/(-1 - (-56)/70) and 4272.
4272
Suppose 0 = -3*x + 3*a + 15, 6 + 18 = 5*x - 4*a. Calculate the least common multiple of ((-44)/(-12))/((-106)/108 + 1) and x.
396
Let c be (-6 + 86)*2/(-5). Let q be (-1)/(4/(c/(-2620))). Let p = q + -46497/2620. Calculate the common denominator of -69/58 and p.
116
Let s = -17 + 19. Suppose s*z - 11 = 1. Suppose -3*t = 5*h - 117, -h + 15 + 10 = -t. Calculate the smallest common multiple of h and z.
24
Let u = -537473/1193850 + 142/3411. Find the common denominator of -47/2240 and u.
11200
Suppose 0 = 16*z - 12*z + 40. Suppose 70 = -n + o, -2*o = 2*o. What is the common denominator of -137/24 and 106/n + z/(-75)?
168
Let w = -289736/17 - -17038. Let z = -759/136 + w. What is the common denominator of 103/18 and z?
72
Suppose 137*p - 25806 = 68724. What is the smallest common multiple of p and 506?
7590
Let z = -23469 - -39167. Calculate the lowest common multiple of 18 and z.
141282
Let v = -9390/13 - -423226/585. Find the common denominator of v and -2/5.
45
Calculate the common denominator of -11/1917 and 186/4*90/(-1485).
21087
Let s(g) = -g**3 - g**2 + 13*g + 21. Let p be s(-2). What is the common denominator of 63/(-72) + (p - (2 + -1)) and 111/14?
56
Let b = -14 - 5. Let m = 23 + b. Suppose 4*x - x = -4*q + 9, 2 = 2*q + 4*x. What is the smallest common multiple of m and q?
12
Suppose -5*p = 5*p + 760. Let y = 141 + p. Calculate the common denominator of 1 + (-16)/(-42)*y/(-20) and -53/18.
126
What is the common denominator of ((-203)/2088)/(((-240)/34)/3 - -3) and 151/396?
792
Suppose 5*i = 6*v - 3*v - 10, 5*v + 3*i + 6 = 0. Suppose 4*x - 36 = f, v = 2*x + f - 12. Calculate the lowest common multiple of 406 and x.
1624
What is the common denominator of 47/106 and (-6)/50*245/7791?
530
Let q = 195323/22 - 8881. Find the common denominator of q and -29/1046.
11506
Let k = -2 + -14. Let x = 1856 - 1900. Let j = k - x. What is the smallest common multiple of 12 and j?
84
Suppose 5*c - 2*l - 152 = 0, -3*l - 75 + 23 = -2*c. Calculate the least common multiple of 36 and c - -7 - 1 - 6.
288
Let f be 3/(36/3)*(-609712)/(-32). Let b = -4773 + f. What is the common denominator of 42/10*5/8 and b?
8
Let u(h) be the third derivative of -h**6/120 - 2*h**5/15 + 49*h**3/6 - 17*h**2 - 3. What is the least common multiple of u(-9) and 20?
260
Let v = -66 - -64. Let t(w) = w**3 + 2*w**2 - 4*w - 5. Let k be t(v). Suppose -8 = 4*g, k*q - 7 = g + 1. What is the least common multiple of q and 4?
4
Let r = 6397/42 + -446/3. What is the common denominator of 54/(-4) - 4/(-6) and r?
42
Suppose -78*y + 28256 = -119398. What is the smallest common multiple of y and 30?
18930
Let d = 155 + -148. Suppose d*x + 225 = 12*x. Calculate the smallest common multiple of x and 15.
45
Let h = 84/835 - 72991/20040. Let m be (-113648)/12*(-25)/22. Let n = m + -10764. What is the common denominator of n and h?
264
Let n(a) = -68*a - 75. Let i be n(8). Let j = i + 2489/4. Find the common denominator of j and -53/12.
12
Find the common denominator of 29/61