18987 + 8833621359/5873441068. Let q = a - 69/131. Calculate the common denominator of q and 38/99.
396
Suppose -383*n + 94*n + 910 + 824 = 0. What is the smallest common multiple of 2613 and n?
5226
Let k(w) = 8*w**3 - 4*w**2 + 2*w + 2. Suppose 905*p - 900*p - 5 = 0. What is the least common multiple of 14 and k(p)?
56
Suppose 288*f - 239*f = 419 + 22. Calculate the smallest common multiple of f and 3032.
27288
Suppose 56*p + 14*p - 28699 = 30101. Calculate the smallest common multiple of 126 and p.
2520
Let h = 35078/11 + -3187. Calculate the common denominator of h and -50/133.
1463
Calculate the smallest common multiple of 330 and -13*(-18)/(-468) + 2/8*1322.
330
Suppose -5*b + 21 + 489 = 0. Suppose -f + 5*h + 9 = 3, -5*f = -h - b. What is the lowest common multiple of 108 and f?
756
Let l = -3955825/66 + 59938. What is the common denominator of (1 + 5/(-2))/((-180)/(-226)) and l?
660
What is the lowest common multiple of 77 and 4/6*96 + 5 + 1?
770
Let s = -486 + 586. Let c(h) = -3*h**3 + 4*h**2 + 9*h + 20. Calculate the lowest common multiple of c(-3) and s.
1100
Let r = 1084 - 706. Calculate the common denominator of 79/78 and 166/r + 15/(-105).
702
Let s = -849 + 7588/9. What is the common denominator of s and -11/162?
162
Suppose 2*b + 4 = 3*p, 164 = 2*b + 156. What is the least common multiple of 254 and p?
508
Suppose -5*l - 2*c = -4*l - 14, -2 = -3*l + 2*c. Suppose 4*i + 3 = 5*u + 2, 28 = -4*i - l*u. Calculate the smallest common multiple of -6*(-3 + 14/i) and 15.
195
Let z = 69626 + -3759955/54. Let o = -16686/11 + 401267/264. What is the common denominator of o and z?
216
Suppose 0 = -5*m + 4 + 101. Let w(o) be the third derivative of o**4/8 + 29*o**3/2 + 30*o**2. Calculate the least common multiple of w(-26) and m.
63
Let g = -9129630385920234797863/11247180 - -811726173664885. Let q = -2/133895 - g. Calculate the common denominator of q and 143/60.
420
Let t = 118 + -404. Let z = t - -340. What is the smallest common multiple of z and 22?
594
Calculate the common denominator of -151/3036 and (-1330)/(-1540) - (-2)/2.
3036
Let u(a) = -a**2 + 2*a + 11. Let l be u(4). Suppose -l*i - 55 = 35. What is the common denominator of (-5)/i - 302/108 and 143/30?
270
Let j = -2247749/184746 + 1/30791. Let o(b) = -12*b**3 + b + 1. Let i be o(-1). Calculate the common denominator of j and ((-92)/18)/((-8)/i).
6
Suppose -3*d = 5*n - 96, -531*n + 526*n = -4*d - 117. Let a = 22 + 5. What is the lowest common multiple of a and n?
189
Suppose 0 = 11*b - 989 + 967. Calculate the smallest common multiple of 5303 and b.
10606
Let i = -85 + 84. Let t(r) = -21*r**3 - r - 2. Let b(w) = -w**3 + w**2 - w + 40. What is the least common multiple of b(0) and t(i)?
40
Suppose 3*r + 125 = -2*r. Let o = 178/7 + r. What is the common denominator of o and (-60)/40 + (-48)/(-10)?
70
Let q = -1069796647/50 + 21395145. Let f = -788 - q. Find the common denominator of 6/55 and f.
550
Let i = -553/22 + 1745/132. Let w = 3301906/7875 + -25775/63. Let m = w - -1/250. Calculate the common denominator of m and i.
12
Calculate the common denominator of ((-890)/(-1428))/(-5 - 5) and 4/1071.
4284
Suppose 19*p - 684 = -400 + 742. Calculate the least common multiple of 10 and p.
270
Suppose h = -2*h + 15, 5*x - 4*h - 65 = 0. Suppose -15*o + x*o - 104 = 0. Calculate the lowest common multiple of 16 and o.
208
Let p be (-13)/(156/(-9)) + 59/(-4). Calculate the common denominator of (-1054)/112 + (-4)/p and 101/4.
8
Let a = 4649/7392 + 5/2464. Find the common denominator of a and 77/188.
3948
Let w be (11 - (-114)/(-12))*(-149)/6. Let r = 9110393/36 + -253034. Let k = w + r. Calculate the common denominator of 52/7 and k.
63
Suppose -265 = -16*x - 58 + 177. What is the least common multiple of x and 224?
672
Let s = -22319/4295 - 3/859. Let n = s - -14. Let f = -12724 + 203483/16. Find the common denominator of n and f.
80
Let u be 8/(-2) - ((-108)/12 - 6). Suppose -25*n + 252 = u*n. Calculate the least common multiple of n and 7.
7
Suppose -5*s - 304 = 4*p, 3*p + 303 = -5*s - 0*s. What is the common denominator of -10/27 and (142/(-9))/(80/s)?
54
Let z = -253130 + 178203555/704. Calculate the common denominator of -51/896 and z.
9856
Let f = 54 + -22. Suppose -246*l = -490*l + 15616. Calculate the lowest common multiple of l and f.
64
Let f = -285 + 202. Let i = -87 - f. What is the smallest common multiple of 13 and 1/i*(-15 - -3)?
39
Let n = 212463 + -85834989/404. Find the common denominator of ((-9)/6)/((-18)/262) and n.
1212
Let b = -17501 - -19166. What is the smallest common multiple of b and 2220?
6660
What is the smallest common multiple of (1610466/247)/1 + 4/(-38) - 8 and 6512?
6512
Let c = -1366/5 + 30177/110. Calculate the common denominator of c and 10/29.
638
Let w = 193 + -187. What is the least common multiple of (18/15)/(w/60) and 12?
12
Let l = -34333/61110 - 47/485. Calculate the common denominator of -41/84 and l.
252
Let n = -8204 - -8369. What is the smallest common multiple of 609 and n?
33495
Let a = 408/1651 - 48787/832104. Calculate the common denominator of -191/420 and a.
2520
Suppose 0 = -3*m + 5*n - 600 + 1753, -2*m + n = -757. Suppose -235 = -47*z + m. Calculate the least common multiple of 91 and z.
91
Let b(d) = d**3 - 14*d**2 + 13*d + 5. Let f be b(13). Suppose 0*c + 15 = f*c. Let p(x) = x**2 - 85*x + 479. What is the lowest common multiple of c and p(6)?
15
Let x = -27 - -32. Let d be 3/x + 84/10. Suppose -d*u + 8*u = -16. Calculate the smallest common multiple of u and 14.
112
Let m = 15/308 - -1033/924. What is the common denominator of 73/252 and m?
252
Calculate the smallest common multiple of 3 and ((-10320)/33 + -2)/((-170)/1870).
3462
Let p = -518 - 101. Find the common denominator of -37/12 and p/(-252) - (-28)/126.
84
Let a(u) = 11*u - 10. Let r(s) = 3*s + 11. Let q be r(0). Suppose -6*m - 7 = -g - m, -5*m - q = -3*g. Calculate the smallest common multiple of a(g) and 3.
12
Let m = -10900/19 + 316134/551. Calculate the common denominator of 53/29 and m.
551
What is the common denominator of -59/186 and ((4004/735)/(-11))/(4*62/12)?
6510
Calculate the common denominator of 0/7 + 424/326 + -1 and 7/6.
978
Let q be (-1051)/2 + 21/14. Find the common denominator of (-4301)/(-102) + -20 + -4 and q/24 - (-2)/(-12).
6
Let y(i) = 2*i**2 + 10*i - 15. Suppose 0 = 5*v + 16 + 24. Let g(c) = -c**3 + 8*c**2 - 4*c - 3. What is the least common multiple of y(v) and g(7)?
198
Suppose -2*n - 126 = -4*n. Let u = n - 59. Let p = -33 - -51. What is the lowest common multiple of p and u?
36
Suppose 3*m = -5*p - 7 - 24, -5*m + p - 61 = 0. Let r = 13 + m. Let b(t) = -t**3 - 7*t**2 + 17*t - 2. What is the least common multiple of r and b(-9)?
7
Let y(f) = f**2 + 8*f + 5. Let p be y(-8). Let o(h) = 4*h - 8. Calculate the smallest common multiple of 78 and o(p).
156
Suppose -3 - 17 = -5*u. Suppose 9*c - u*c = 90. Let p = -2082 + 2098. What is the lowest common multiple of c and p?
144
Let b(p) = 86*p + 56. Let z be b(6). What is the common denominator of 403/14 - (-6)/(-21) and (-65)/z*19*-1?
44
Let n(w) = -w**2 - 58*w + 281. Let i(a) = -a**3 - 2*a**2 + 2. Let s be i(-2). What is the lowest common multiple of (s + -1)*-1*-6 and n(-62)?
66
Calculate the common denominator of 0 - (-4*(-1)/3 - 67703/42660) and -43/486.
4860
Suppose 2*u - 3707 = -5*t + u, 0 = -2*t - 5*u + 1492. Let f = t - 4471/6. Calculate the common denominator of -29/508 and f.
1524
Let o be 6 - ((-107760)/215908 - -7). Let x = 186/701 - o. Calculate the common denominator of x and -97/42.
462
Let n be (-2)/(((-1)/(-2))/1). Let b = 12 + n. Calculate the least common multiple of b and (1 - (6/39 + (-75)/(-104)))*8.
8
Calculate the common denominator of 3 + (-1197)/(-135) + -6 and 77/216.
1080
Suppose 4*n - 12 = n. Let g be 1066/(-552) - (-2 - (-7)/n). Let c = g - -1463/2553. What is the common denominator of 58/9 and c?
333
Let w = -314 + 318. Suppose 3*c = w*o + 191, 8*c + 2*o - 327 = 3*c. What is the least common multiple of c and 17/2 - (-3)/2?
130
Suppose 3*r = -5*i - 14, -11*r + 6*r + 18 = -2*i. Suppose 9*u - 13*u + r = -3*g, 5*u - 18 = -4*g. Calculate the lowest common multiple of 128 and g.
128
Let q = 2715059/673170 - -2/22439. Let h = -18014 - -324145/18. Calculate the common denomin