 + -22403/13. Let g = v - 47713/624. Calculate the common denominator of -19/84 and g.
336
Let d = -1772 + 1784. Calculate the lowest common multiple of d and 44.
132
Suppose -30*b = -27*b - 2475. Suppose 4*c = -5*s + b, c - 255 = s - 42. What is the least common multiple of 84 and c?
420
Suppose 83 = s + r, r = -2*s - 0*r + 163. Let i be (-5)/(13/(-832)*20). What is the common denominator of 145/18 and (i/s)/((-16)/102)?
360
Let m be 1*2 + (-3)/(7 - 10). Suppose 2*w = g + 79 + 33, -g + m*w - 116 = 0. Find the common denominator of -59/6 and ((-39)/g)/((-166)/(-124) - 1).
84
Let c(v) = -v**3 - 7*v**2 - 4*v + 10. Calculate the smallest common multiple of c(-7) and ((-11)/(99/12))/(7 + 86/(-12)).
152
Suppose 103 = 3*m + 4. Let f(a) = 5*a**3 + 11*a**2 - 11*a - 24. Let k be f(-6). Let q = k + 666. Calculate the lowest common multiple of m and q.
264
Let v = -484247 - -270209911/558. What is the common denominator of -13/93 and v?
558
Suppose r - 17 = -p, -16*p + 70 = 4*r - 11*p. What is the lowest common multiple of (40/r + -2)/((-4)/(-216)) and 99?
396
Suppose 0 = 11*f - 87 - 12. Suppose 0 = 2*z - s - 38, f*s = 5*z + 10*s - 102. What is the least common multiple of 6 and z?
60
Let d = 79/3 - 51/2. Let v = 127/33 + d. Find the common denominator of v and -67/30.
330
Let t = 584339 + -874755536/1497. Find the common denominator of t and 11/6.
2994
Suppose z = -2*p, -5*z + 3*p = -2*p - 45. Let n = 384 - 362. Calculate the smallest common multiple of n and z.
66
Let u(t) = -t**3 + 12*t**2 + 8*t - 24. Let y be u(7). Let b = -159 + y. Let c(w) = -w**3 + 3*w**2 + 2*w. What is the smallest common multiple of b and c(3)?
354
Suppose f - 915 = 32*o - 30*o, 0 = f + 4*o - 897. What is the lowest common multiple of f and 90?
9090
Calculate the common denominator of 6/(-18)*9 - 1937/(-612) and -155/408.
1224
Let g(n) = 2*n**3 + 4*n**2 + 2*n - 2. Let i be g(-2). Calculate the common denominator of i/9 - (4 + (-320)/36) and (-170)/75 + (-1)/1.
45
Let z(i) = -i**3 - 7*i**2 + 10*i - 24. Let d = 1754 + -2623. Let k be 2/(-9) + d/99. What is the lowest common multiple of 5 and z(k)?
240
Suppose -24*g = 3*g - 945. What is the lowest common multiple of 385 and g?
385
Let x(t) = t**2 + t + 6. Let w be x(5). Suppose 69*z = 75*z - w. Calculate the smallest common multiple of 26 and z.
78
Let p = 115729/14 - 8272. Suppose 45*w + 25261 + 1739 = 0. Find the common denominator of p and -1 + 0 + -92*45/w.
70
Suppose 3*n - 43*q - 62 = -45*q, -4*q + 76 = 3*n. Let j = -2 + 14. Calculate the least common multiple of j and n.
48
Let o = 2774/4741 - -5/862. What is the common denominator of o and (-9)/(-12)*594/(-814)?
1628
Suppose 5*d + 8 = 58. Let w(x) = x**3 + 16*x**2 + 2*x + 34. Suppose 5*l - 2*o = -86, 4*l + 4*o + 70 = 18. What is the least common multiple of d and w(l)?
10
Suppose 257*l - 122*l - 38016 = 123*l. Calculate the smallest common multiple of 1440 and l.
15840
Find the common denominator of 9/((-405)/9) - (1731/585 - 3) and -28/165.
2145
Let t(c) = -c**3 + 11*c**2 - 17*c - 7. Let m be t(9). Suppose 0 = -10*z - m*z + 864. What is the lowest common multiple of z and 30?
360
Let m(f) = f**2 - f - 1. Let l(x) = 12*x**2 + 6*x + 2. Let s(q) = -l(q) - 6*m(q). Let j be s(-2). What is the common denominator of 87/8 and (j/12)/(10/45)?
8
Suppose -37 = 7*v + 26. What is the common denominator of 149/120 and (-4)/(-18) + (2486/(-360) - v)?
120
Let q(i) = 5*i - 6. Let c be q(2). Suppose 6*o + 280530 = -c*o. Calculate the common denominator of o/4860 + 2/9 and -67/24.
120
What is the lowest common multiple of 1178 and (-32 + 938/28)/(3/20)?
5890
Let v = 22 - 10. Suppose -5*h - 10*b - 943 = -9*b, 5*h + 4*b = -952. Let c = h + 224. Calculate the smallest common multiple of c and v.
36
Suppose -124*x - 68*x + 314 = -35*x. Calculate the least common multiple of 2646 and x.
2646
Suppose 0 = -6*t - 7 + 19. Suppose 59 = 3*x + t. Suppose 144 = 23*q - x*q. What is the lowest common multiple of 32 and q?
288
Let t = 59 - 52. Let l be -1 + (-3 - (-74)/53)*t. Let i = -17780/1749 - l. Find the common denominator of i and -7/12.
132
Suppose -10*l = -9*l + 2. Let f be 2 - l - 2*1. Calculate the smallest common multiple of 24 and f + (-75)/(-3) - 3/(-1).
120
What is the common denominator of 34/(-18)*(-60)/(-40) and 101/6?
6
Suppose -4*h = -71 - 113. Suppose -h = 4*c - 66. Suppose c*z - 20 = -0*z + 3*q, -z - 3 = -2*q. Calculate the least common multiple of 31 and z.
217
Let d be (4 + (-65)/15)/(3/(-1251)). Let n = 101 - d. Let b = n + 66. What is the smallest common multiple of b and 2?
28
Let m = 226986683/970 - 1170072/5. Let s = 1/97 + m. Let t = -1031/1419 + -1/1419. Calculate the common denominator of s and t.
22
Let g(f) = 2*f**3 + f**2 + f + 1. Let d(s) = 5*s**3 - 21*s**2 - 24*s + 62. Let l(c) = d(c) - 2*g(c). Calculate the smallest common multiple of l(24) and 22.
132
Suppose 4*k - 8 = -0*k. Let j = 101 + -84. Calculate the smallest common multiple of (4 - 4) + 3 + 0 + j and k.
20
Let t(o) = o**2 + 9*o - 12. Let q be t(-11). Suppose -q*x - 876 = 2*x. Find the common denominator of (x/28)/(-1) - 0/(-7) and -13/10.
140
Suppose -4*k - j + 756 = 0, -5*k + j = -j - 958. Find the common denominator of 79/153 and (7828/k)/(68/(-5)).
306
Calculate the common denominator of (840/28)/(-30) + 2 + (-274)/112 and -63/592.
4144
Suppose -25 = -5*o, 137 = 2*u - 3*o - 54. Suppose 0 = -3*m - 24 + 639. Let t = m - u. What is the lowest common multiple of t and 12?
204
Calculate the common denominator of (56 - 7880/140)*(2 + 410/96) and (-2 - -24)*(-27)/240.
120
Let r be (-5199)/(-2)*(-103)/(-27). Let u = 9920 - r. Find the common denominator of u and 87/10.
90
Let o = -155 - -405. Suppose -25*h + 0*h + o = 0. Suppose 9 + 1 = 5*a. Calculate the lowest common multiple of h and a.
10
What is the least common multiple of 986 and 11 - (-86 + -7 + 2)?
2958
Suppose -687810 = -176*z - 202578. What is the smallest common multiple of z and 6?
5514
Let v = 142271274061059/24105317599420 - -722/264370669. Let t = -566/97 + v. Calculate the common denominator of t and -25/8.
1880
Let i = -160138 + 93200293/582. What is the common denominator of i and 11/228?
22116
Let l(x) = x**3 + 65*x**2 - 518*x + 197. What is the least common multiple of l(-72) and 25?
6025
Let v = 53861/2198760 - -37/2008. Find the common denominator of v and -46/365.
1095
Suppose -10893 = -20*a + 7347. What is the least common multiple of a and 418?
10032
Suppose 4*a - 126 = a. Let i = -16 + a. Let w(f) = -6*f + 6. Calculate the smallest common multiple of w(-1) and i.
156
Suppose -53*u + 240*u = 32912. Calculate the smallest common multiple of 2266 and u.
18128
Suppose -3*k = 4*d - 17, -4*k = -4*d - 3 - 1. Calculate the common denominator of (-63)/(-2) + (-6)/18*k and -17/88.
88
Let k = -1343571/4 - -338308. Let x = k - 2399. Let a = -91611/20 + 4583. Find the common denominator of x and a.
20
Calculate the smallest common multiple of 396 and 1057 - (1*(-2 - -1))/(-20 - -19).
3168
Let y be 1 - -2 - 2 - -4775. What is the common denominator of 9/10 and -6 - (1 + y/(-680))?
170
Calculate the common denominator of (-5366160)/(-87075) + -61 + ((-2)/3)/1 and 139/30.
3870
Suppose -u - 33 = 15. Calculate the common denominator of 3825/891 + ((-3)/9)/(55/30) and (-68)/u + 4/(-16).
18
Let l = 18053402971/272 - 66372945. Let g = l - -2289/17. Find the common denominator of g and -35/36.
144
Suppose 0 = -s - 354 + 516. Suppose -2*u - 35 + 251 = 4*g, -5*u - 5*g = -540. Calculate the smallest common multiple of s and u.
324
Let l = -38525/12 - -3206. Let i = -19879 - -656053/33. Calculate the common denominator of i and l.
132
Suppose 0 = -5*k + 5*m + 6630, -3*m = 4*k - 6040 + 778. What is the lowest common multiple of 660 and k?
1320
Let r = 6113652065147/186 - 32869194647. Let o = r + 97522. Calculate the common denominator of o and -139/12.
372
Let w be (35/(-2) + 0)/((-134)/268). What is the common denominator of -4/51 and (385/(-42))/(w/(-28))?
51
Suppose 3*i - 1782 = -2*o, 3*o - 2*i - 3*i - 2730 = 0. Calculate the least common multiple of 30 and o.
900
Let o(r) = -r**2 + 12*r - 12. What is the smallest common multiple of o(10) and ((-54)/10)/((-72)/240)?
72
Let m = 3701539/61590 + 2/6159. Let k = -935 + 875. Let j = m + k. Find the common denominat