 - 228*n + 230*n - 26 = 0, 5*n = 2*i - 97. What is the smallest common multiple of i and 20 - 8 - (1 + -1)?
36
Suppose -44*w + 43*w + 205 = a, 5*a - 1037 = w. Calculate the least common multiple of (-1)/1*5/(20/(-644)) and a.
1449
Let f(g) = 13*g**2 - 8*g + 35. Let y be f(4). Suppose -16*h + y + 45 = 0. Calculate the least common multiple of h and 46.
368
What is the common denominator of ((-3)/(-3) - 8) + (-1991)/(-176) and -85/4378?
35024
Let a = 479822/33 + -14542. What is the common denominator of a and 53/77?
231
Let v = -14041/9531 + -16/353. Let k = -54619/36 + 1519. Find the common denominator of v and k.
108
Let n(w) = 19*w**2 - 2*w - 8. Let i be n(-2). Let o = i + -60. Find the common denominator of (-1827)/270 + o/(-9) and 61/8.
40
Find the common denominator of (14/(-16) - 1)/(31098/511) and 133/1278.
10224
Let n = -298 + 60. Let x = 242 + n. Calculate the lowest common multiple of x and 36.
36
Let b = -13877/628680 + 59/3720. Calculate the common denominator of -137/78 and b.
10140
Let q = -531 - -555. Calculate the smallest common multiple of q and 240.
240
Let m(x) = 5*x - 3. Suppose 14*d - 14 = 70. Calculate the lowest common multiple of m(6) and 1911/364 + d/8.
54
Let v = 12620 - 8540. Calculate the lowest common multiple of v and 84.
28560
Let n(x) = x**2 + 81*x - 339. Let t be n(4). Suppose 0 = -g - 3*g. Calculate the least common multiple of t - g - (-4)/(-12)*0 and 18.
18
Calculate the lowest common multiple of (-2)/4*(-2 - 3456) and 7.
1729
Suppose 0*f - 4*f - 56 = 4*y, 3*f = -15. Calculate the common denominator of (290/120)/(2/y) and 25/3*6/28.
56
Let w = -12/439 + -41441/9658. Suppose -6*f + 5*f - 18 = 0. What is the common denominator of 2178/(-24)*(-4)/f and w?
66
Let o = 26 + 121. Let b = o - 136. Let p = -47033/27 - -5231/3. Calculate the common denominator of b and p.
27
Let s = 6027 - 3845143/638. Calculate the common denominator of -107/580 and s.
6380
Let o = 81 - 158. Let d = 101 + o. Calculate the lowest common multiple of d and 40.
120
Find the common denominator of 105/352 and (25/64 - (-2)/(-4))/((-1320)/1760).
1056
What is the common denominator of 17 - -10 - 35 - (-1049)/114 and 77/30?
570
Suppose 2 + 28 = 2*v. Suppose 20*y - 17*y - v = 0. Suppose -2*m = -4*w - 40, m - 2*m + y*w = -5. Calculate the lowest common multiple of m and 12.
60
Suppose 129*c = 124*c - 5. Let i = -6563/636 - -198/53. Find the common denominator of i and (c/((-6)/(-4)))/((-6)/183).
12
Let z = -218 + 801. Suppose 2*q - 683 = -z. Calculate the smallest common multiple of 60 and q.
300
Let p = 318 + -310. Calculate the lowest common multiple of 15/(-2)*p/(-5) and 10.
60
Let x(h) = 8*h + 1. Let m be (-3567)/(-18) - 11/66. Suppose -5*o + 2*o = 3*r - m, -3*o = -9. Calculate the least common multiple of r and x(4).
693
Let p be (112/64)/((-1)/(-80)). Find the common denominator of ((-22)/(-16))/(2/28) and 307/p + 385/49 + -8.
20
What is the lowest common multiple of 352 and -1 - 7 - (10 - 128 - -11)?
3168
Let b = -20460 - -37597. Let k = b + -308605/18. Calculate the common denominator of -71/66 and k.
198
Let g(o) = 2*o**2 - 5*o + 5. Let v be g(2). Suppose 16 = b + v*b. Suppose -110 = -7*j - b*j. What is the least common multiple of 5 and j?
10
Suppose -m - 205 = 7*m - 49*m. Calculate the smallest common multiple of 761 and m.
3805
Let f(q) = -29*q + 352. Calculate the lowest common multiple of (-42)/14*(-598)/3 and f(12).
1196
Let f = 48 + -43. Let s = 3 - f. Calculate the lowest common multiple of 10 and ((-112)/49)/(s/7).
40
Let r = 46/61 + -593/3294. What is the common denominator of r and (-5)/(-6)*13167/770?
108
Let c be 35/10 - (-5)/(-10). Suppose 3*y - 5*n - 93 + 30 = 0, -c*y = n - 45. What is the smallest common multiple of (0 + 0 - -10) + -2 and y?
16
Let a be (3 - (-132)/(-24))*2382/(-5). Let q = 7123/6 - a. Find the common denominator of q and 93/2.
6
What is the smallest common multiple of 30 + -20 + (-372)/(-1) - -8 and 2379?
23790
Let u = 199 + -249. Let v = u - -58. Calculate the smallest common multiple of v and 0 - -1 - 3*-1.
8
Suppose -4*h - 3*o = o - 2304, -4*h + 2296 = 5*o. Calculate the least common multiple of h and 4672.
4672
Let k = -22330279/704404 - -22270/769. Let j = k + -2/229. What is the common denominator of j and 7/4?
4
Suppose -3*v = 3*o - 45, -2*v + 35 = 2*v - o. Calculate the least common multiple of (-1)/(-2 - 71/(-36)) and v.
180
Let t = -28 + 68. Let k = 43 - t. Suppose -k*r + 21 = 3. What is the least common multiple of r and 150?
150
Suppose -d + 194 = 4*o, -7*d - 239 + 13 = -5*o. What is the least common multiple of o and (-50)/(-2) - 2/2?
48
Let x(l) = 53*l**2 - 49*l + 106. What is the smallest common multiple of x(2) and 60?
660
Let d(h) = 10*h**2 + 3*h - 3. Let q be (-2)/(-7) - (-329)/49. Suppose q*m - m - 18 = 0. What is the least common multiple of m and d(1)?
30
Let s = -3/3046 - 3445005/21322. Let y = s - -13453/84. Let m = -65417/33460 - 11/1195. Calculate the common denominator of m and y.
84
Let t = 12794939/1503286096 + -3/555949. What is the common denominator of t and 61/12?
8112
Let g be 6/(48/(-102356))*4860/(-3026). Let o = -20549 + g. Let q = 80229/30260 + o. What is the common denominator of q and -67/12?
60
Suppose l - 4*a = 135, 3*l + 3*a + 29 = 344. What is the least common multiple of l and 54?
1998
Let n = -326 - -383. Suppose n*v = 60*v - 66. What is the lowest common multiple of v and 6?
66
Calculate the least common multiple of 64 and (-168)/(-60)*(-520)/(-28).
832
Let y = 19975 + -19938. What is the least common multiple of 629 and y?
629
Suppose -3*f + 47 - 17 = 0. Let a be 2/(-5) + 44/f + -3. Calculate the common denominator of 4/(-14) + a/(140/187) and -151/42.
420
Let x(d) = d**3 - 3*d**2 + 2598*d - 10395. Let t(m) = m**3 + 4*m**2 + 2*m + 2. Suppose 0*r + r + 2 = 0. Calculate the lowest common multiple of x(4) and t(r).
78
Suppose 3*h - 2*x - 27 + 8 = 0, 0 = h + 2*x - 17. Let s(d) = 4*d + 4 - 6 + 0*d + 17*d**2 - 2*d. What is the least common multiple of s(1) and h?
153
Suppose 0 = 4*a + 3*d - 740, 784*a - 4*d + 390 = 786*a. Calculate the least common multiple of 179 and a.
179
What is the smallest common multiple of 171860/1170 + (-1)/(-9) and 33?
1617
Let l = 653975/114 + -11473/2. What is the common denominator of 67/228 and l?
228
Let w(b) = b**2 - 160*b + 1884. Calculate the lowest common multiple of w(12) and 16.
432
Calculate the least common multiple of (-36)/(-8)*1*14 and (-108)/((-64 + 55)*(-1)/(-6)).
504
Suppose 95*t - 93*t = -2*v + 14108, 0 = -4*t + 2*v + 28198. Calculate the lowest common multiple of 10 and t.
70510
Suppose 23*x - 25*x = -296. Let g = -136 + x. Suppose -b + 2*d = 1, 5*b - 3*d - 16 = -0*b. Calculate the smallest common multiple of g and b.
60
Suppose -3*u = -y + 2 - 10947, 5*u - 3*y - 18243 = 0. Calculate the lowest common multiple of u and 16.
3648
Let h = 48810 + -1270097/26. Let k = 17041/468 + h. What is the common denominator of k and 109/12?
36
Let o = -88 - 137. Let t = -224 - o. Calculate the lowest common multiple of 3 and t.
3
Calculate the common denominator of 101/2 and (-52734)/10556 + (15 - 11) - (-3 - -2).
5278
Suppose 0 = -35*t - 1950 + 39855. What is the lowest common multiple of t and 3?
1083
Suppose 20*c - 4742 = 2818. What is the common denominator of 28/41 and c/8 - 19/(-76)?
82
Calculate the common denominator of (-14 + 15)/(44/(-152)) and 47/24.
264
Suppose -6*s = 11 - 155. What is the least common multiple of (-576)/(-120)*(-38)/(-18) - 6/45 and s?
120
Suppose v + 13*v = 4*v. Let r be 48/64 + 1/4. Suppose v = -5*w + r + 9. Calculate the smallest common multiple of w and 6.
6
Let n(y) = 1. Let q(o) = o + 24. Let u(r) = 4*n(r) + q(r). Let j be u(-6). Calculate the smallest common multiple of j/7 + (-1)/7 and 3.
3
Let u(q) = 5 - 25 + 510*q - 1905*q + 13. Let l be u(2). Let s = 142697/51 + l. Find the common denominator of 143/30 and s.
510
Let t be 18022/21 + (-6)/(-9). Let k = -35113/42 + t. Find the common denominator of k and (2/(-13) - (-1255465)/511836) + 10/85.
12
Let g = 238034594/4267 + -55785. Let a = -669961/179214 - g. Calculate the common denominator of 49 and a.
42
Let a be (-187781 - 6)/((-1)/(2/(-236880))). Let h be 12/(-1269)*16/(-40). Let y = a - h. Calculate the common denominator of y and -71