Let m = u - -1/153. Calculate the common denominator of 2 + -3 - (-11)/10 and m.
10
Let j be ((-3)/(-4))/(1/(-4)). Suppose 6*r + n + 88 = 11*r, 0 = -2*r - 3*n + 42. What is the smallest common multiple of (-22)/(-6)*(3 - j) and r?
198
Calculate the common denominator of 2/6 - (75/26)/(-5) and -49/2.
78
Let k(j) = 3 - 33 - 6 - 9*j. Calculate the smallest common multiple of 24 and k(-8).
72
Let z = 99 + -53. Suppose 2*x - 23 = c - 2*c, -4*c = x + 6. What is the lowest common multiple of z and x?
322
Let s(c) = c**2 + c - 5. Suppose 5*k = -0*k. Let a be s(k). Let o(w) = -w**2 - 6*w - 2. Calculate the least common multiple of o(a) and 7.
21
Suppose -5 = 5*f - 3*d + 37, -2 = -f - 2*d. Let i = 421 - 208. Find the common denominator of (i/f)/(3 + -8) and 81/58.
290
Suppose -10*b = -6*b - 5*s - 221, -2*b - 2*s = -106. What is the lowest common multiple of 522 and b?
1566
Let h = 3/4916 - -169569/54076. Find the common denominator of h and 119/410.
4510
Let d = -242 + -1652. Let c = d - -75799/40. What is the common denominator of 47/8 and c?
40
Suppose -2*u = -0*u + 7838. Let g = 2410505 + -33801843/14. Let s = g - u. Find the common denominator of 39/16 and s.
112
Let p = -267779/95969 - -4/5051. What is the common denominator of p and (-399)/(-72) + (-1)/(-3)?
152
Suppose n + 2*o = -7, 2*o - 16 = 4*n + 6*o. Let u be -2 + 36 + 3 + n. Suppose -h = h + 2*w - u, 4*h - 92 = w. What is the lowest common multiple of 20 and h?
220
Let h = -9010577 - -135336958/15. Let y = -19685 + 31578. Let a = y - h. Find the common denominator of a and 67/10.
30
Suppose -145*x + 141*x = -16. Suppose 104 + 72 = x*v. What is the smallest common multiple of v and 7?
308
Suppose b + 20 = -2*a, -b = -0*b + 5*a + 29. Calculate the lowest common multiple of 11 and (-6)/(-8)*(-10 - b).
33
Suppose 9*v + 115 = -407. Let j = -28 - v. Calculate the smallest common multiple of j and 12.
60
What is the common denominator of ((-33)/96)/((-8)/32) and 5/44?
88
Let c = -2/439437 + 7372799/4980286. Calculate the common denominator of -103/78 and c.
1326
Calculate the common denominator of (-38)/10 + 4 - (-2998)/(-18740) and 3/2.
1874
What is the least common multiple of 29 and (-3)/(((-32)/(-192))/(1/(-2)))?
261
Suppose -11344 = -2*o + o + g, 0 = 4*o - g - 45391. Let f = o + -249727/22. Calculate the common denominator of f and 226/(-24) + (-3)/9.
44
Suppose 167544 = 4*o - 347280. Let s = o - 12355909/96. Find the common denominator of s and 69/14.
672
Suppose 2*t - 3*u = -t + 39, 59 = 5*t - 3*u. Let y = 102 + -97. Calculate the lowest common multiple of t and y.
10
Find the common denominator of 103/204 and ((-1066)/(-104))/(10/(-8)).
1020
Let z = 2146 - 1346. Suppose 5*n = -5*o - z, 2*o + 270 = 2*n - 50. Calculate the smallest common multiple of (12/(-10))/(12/o) and 5.
80
Let w = -762620363417963/168264420480 + 1/1314565785. Let y = w + 4532. Find the common denominator of -19/10 and y.
640
Suppose -160*z = -155*z - 290. Calculate the least common multiple of z and 4.
116
Suppose 0 = d - 6*d + 42795. Let z = -171097/20 + d. Calculate the common denominator of z and -47/18.
180
Calculate the common denominator of ((-2)/8)/(9/(-672)) and -1 + ((-4)/6 - (-35)/(-2)).
6
Suppose 4*o = -5*n + 56, 0 = 3*n - 6*n. Suppose 2 = 2*y, 8*y - 3*y - 61 = -2*r. Calculate the smallest common multiple of r and o.
28
Suppose 0 = 10*i - 15*i + 15. Suppose 0 = 5*t + i*s - 105, 4*s - 5 = -25. Calculate the least common multiple of 6 and t.
24
Let g(o) = -53*o**3 + 2*o**2 - 19*o - 5. Let j be g(-7). Let f = -2797523/152 + j. Calculate the common denominator of f and -31/16.
304
Let p = -121447/18 + 6753. What is the common denominator of p and (-1)/(-4) + (-36)/10?
180
Let z be 40814/(-40)*(-4)/(-2608). Let c = 2/815 + z. Calculate the common denominator of -2 + 0 + 39/(-4) and c.
16
Let l = -1681/45 - -88213/2340. Find the common denominator of l and -95/2.
260
Let s(w) = -5*w - 5. Let o be s(-5). Let u = -4 + o. What is the lowest common multiple of u and 12?
48
Let w = -522/49 - -40543/3332. Find the common denominator of w and ((-87)/28)/((-6)/4).
476
Let x = 3332/115 + -66260037/2286890. Let g = -502116/109373 - x. Calculate the common denominator of -25/6 and g.
66
Let d = 879/25 - 14349/400. What is the common denominator of (-2)/7 + (-502)/56 and d?
80
Find the common denominator of 3/1 + (-1)/(-6) and (-1 - (-3)/9)/((-90)/(-1647)).
30
Let i(w) = 4*w**3 - 14*w**2 + 9*w + 5. Calculate the lowest common multiple of 60 and i(5).
600
Let d = 142 + -57. Calculate the least common multiple of d and 20.
340
Let u be (-17)/9 + 2 + 2070478/396. Suppose 4*r - 5*y = 20883, -4*r - 3*y + 8925 = -11998. Let g = r - u. What is the common denominator of g and 79/8?
88
Let k(g) = 23*g + 387. What is the lowest common multiple of 9 and k(0)?
387
What is the lowest common multiple of 12 and 9/(-6)*1092/(-9)?
1092
Let o(m) = -20*m**3 + m**2 + 2*m + 1. Let t be o(-1). Find the common denominator of (-19)/t + (0 - -2) and 21/10.
20
Find the common denominator of (-849)/(-216) + (-4)/18 and 172/(-1118) + (-2914)/156.
24
Suppose 4*r + a = 94, -149*r + 154*r + a - 118 = 0. Calculate the least common multiple of 34 and r.
408
Let u = 756 - 336. Calculate the least common multiple of 3 and u.
420
Suppose -5*d = 1060 - 1260. What is the smallest common multiple of d and 40?
40
Suppose 3*s - 3*a = 60, 3*s = 8*s + 5*a - 60. What is the smallest common multiple of s and 12?
48
What is the lowest common multiple of 28 and ((-264)/15)/((-7)/35)?
616
Let x = 1087 - 2237/2. Let o(z) = -z**3 - 6*z**2 + z + 5. Let b be o(-6). Calculate the common denominator of x and b/12*114/(-4).
8
Let y(o) = 3*o + 3. Let g be y(3). Suppose 36*f - 38*f = -g. Calculate the least common multiple of f and ((-4)/(-10))/((-2)/(-10)).
6
Let d(a) = a**2 - 4*a - 2. Let j be d(5). Suppose -j*v + 4*v + 3 = 0, -16 = -4*w - 4*v. Calculate the lowest common multiple of w and 4.
28
Let c = 1/1532 + -12641/3064. Let i(u) = -u**2 + u + 20. Let j be i(0). Suppose -21 = -x + j. Find the common denominator of c and x.
8
What is the lowest common multiple of 750/60*(-42)/(-5) and 60?
420
Let v = 1828 - 7235/4. Suppose -44916 = -0*t - 2*t. Let z = t - 404381/18. Find the common denominator of v and z.
36
Let j be (-1)/(-6) + 65/6. Let k = j + 9. Let d = 6 + -2. What is the least common multiple of k and d?
20
Let f(c) be the second derivative of -c**5/20 - c**4/6 + 2*c**3/3 - 9*c**2/2 - 6*c. Let s = -14 + 10. Calculate the smallest common multiple of 9 and f(s).
63
Suppose 21*i - 129 = -3. What is the smallest common multiple of (2 - 3)*36/(-1) and i?
36
Suppose 0 = 3*c - 6*c + 18. Suppose g - 36 = 33. Let f = g - 60. Calculate the smallest common multiple of c and f.
18
Let n be (16/(-10) + 0)*10. Let t = -64 + 38. Let o = n - t. Calculate the lowest common multiple of 8 and o.
40
Let v = 275/8 + -2049/56. What is the common denominator of (-2)/7 + 5/(-2) and v?
14
Let c = 3025 - 2773. Calculate the least common multiple of c and 336.
1008
Suppose 3*r + 32148 = 4*z, -4*z + 4*r = -9377 - 22767. Let q = -31893/4 + z. Let i = q + -725/12. Calculate the common denominator of i and 64/9.
9
Calculate the common denominator of -61/10 and 386/(-357) + 15 + 1414/(-98).
510
Let d = 108 - 102. What is the lowest common multiple of 12 and d?
12
Let x(q) = -9*q + 27. Suppose -5*n = -50 - 5. Let v be x(n). Calculate the common denominator of 8/v*45/6 and -33/4.
12
Let c = 128/45 - -74/15. Calculate the common denominator of c and -43/197.
1773
Let s = 102909/55 - 1871. Let z = -1651/770 + s. What is the common denominator of z and 63/8?
56
Let i be 8/2 + (-15360)/3825. Let b = 12973/2040 - i. Calculate the common denominator of 81/58 and b.
232
Let y = -7803907/350 + 22297. Find the common denominator of y and -73/150.
1050
Suppose 6*s + 40 - 58 = 0. What is the smallest common multiple of 130 and s?
390
Let j = -46/151 - -22007/69762. Let u = 1889/231 - j. Find the common denominator of 59/3 and u.
6
Find the common denominator of 79/285 and (-10)/(-3)*21/12.
570
Suppose -3*x + 117 = 2*p + 3, -x - 4*p = -48. Calculate the lowest common multiple of 42 and x.
252
Suppose 0 = -6*z + 3 + 3. Let j be (-2 - z) + 3152/6. Let a = j + -517. Find the common denominator of 85/8 and a.
24
Let 