 Calculate the common denominator of g and (-482)/10122 - 47/(-28).
84
Let l be 2/5 + -2*(-33)/10. Let d(s) = -s**3 + 5*s**2 + 16*s - 14. Let v be d(l). Find the common denominator of v - (-3 + 596/80) and -151/12.
60
Let w = -232715 - -1396295/6. Find the common denominator of w and 1034/1036 - 6/(-21).
222
Calculate the smallest common multiple of 105 and (216/(-32))/(713/(-620) + (2 - 1)).
315
Suppose u = -347*f + 348*f - 1414, -3*f = 2*u - 4207. What is the least common multiple of f and 21?
1407
Let a = 10261/8 - 1278. Let d = -1499697/2506 - 72/1253. Let r = d - -638. What is the common denominator of r and a?
8
Let q be (-7 + 214236/30604)/(204/1064407). Let o = q + -9/7651. What is the common denominator of o and -89/15?
510
Let i = -10381267405/3212 + 3232026. Calculate the common denominator of 5/2628 and i.
28908
Suppose 51 = 2*n + 3*h, -n - 4*n - h + 95 = 0. What is the least common multiple of n and 99?
198
Suppose -4*a - g = -17, 9*a - 10*a - 3*g - 4 = 0. Suppose 0 = 5*y + 10, -a*u + 25 = 4*y - 17. What is the least common multiple of u and 2?
10
Let q = -48342132/7 + 2176252607/315. Let v = -2721 + q. Calculate the common denominator of 43/5 and v.
45
Let b = 251031 + -1753368/7. Let p = 104441/189 - b. Find the common denominator of p and -61/9.
27
Suppose -17*n = -19*n + 322. Suppose -2*v - n = 5*v. Let u(y) = -y**2 - 24*y - 1. What is the smallest common multiple of 30 and u(v)?
330
Suppose -961 = -h - 5*s, 3*h - 4*s - 1673 = 1115. Calculate the smallest common multiple of h and 20.
4680
Let o be (-593261)/86660 - 2*2. Let j = 18/4333 - o. Let l = -12 + j. What is the common denominator of 23/2 and l?
20
Let i = 2/56667 + -2210057/1246674. Find the common denominator of i and ((-28)/(-110))/(8/90).
22
Suppose 514 = -2*w - 3*k + 5*k, 0 = 4*w + 5*k + 992. Let i = 305 + w. What is the least common multiple of 4 and i?
52
Let t = 9766/6303 - 76/191. Suppose 3*f - 6 - 5 = o, o - 1 = -3*f. Find the common denominator of t and 11/o*24/(-9).
165
Let t(w) = -3*w**2 + w - 2. Let j be t(1). Suppose -3*h - 2*p + 94 = -3, 4*h - 2*p = 148. Calculate the smallest common multiple of (5 - h)/(6/j) and 2.
20
Let l = -9230 + 9274. What is the lowest common multiple of 3548 and l?
39028
Let s be ((-54)/(-30))/(6/70). Suppose t = -5*u + s, 4 = -4*t + 4*u + 16. Calculate the least common multiple of t and 16.
48
Find the common denominator of -25/36 and 1 - ((-759)/(-36) + 18/72).
36
What is the lowest common multiple of 102 and ((-170)/(-8))/(85/136)?
102
Let q be (6/(-5))/(-3) + 273198676/(-52997586). Let j = q - 23/205417. Let t = j + -1/86. Find the common denominator of t and 34/9.
90
Suppose -15*l = 2*u - 14*l - 3229, -5*l - 1642 = -u. Calculate the smallest common multiple of 882 and u.
9702
What is the lowest common multiple of 7 and (6/9 - 208/(-48)) + -1 - -4?
56
Let v be (70/1575)/(46/11780). Let d = v - 180/23. What is the common denominator of 80/33 and d?
99
Let x = -409 - -412. Suppose 2*z - 48 = -4*c, -45 = z - 3*z - x*c. Calculate the smallest common multiple of 108 and z.
108
Let p be 3/(-5) - (-184)/40. Suppose 0 = -p*v - 5*f + 109, -v + 40 - 14 = f. What is the least common multiple of v and 36?
252
Let p = -67 - -61. Let v be 3/p + (-3045)/10. Find the common denominator of v/6*((-3672)/(-920) + -4) and -101/22.
1518
What is the common denominator of -137/6 and 6/15 + (-11)/((-52580)/(-1704))?
7170
Suppose 208*y - 689 + 171 = 134*y. Calculate the lowest common multiple of y and 1450.
10150
Suppose 4*a = -0*a + 20, 0 = 2*p + 4*a - 68. What is the least common multiple of 13671/630 - 9/(-30) and p?
264
What is the common denominator of -43/2358 and ((-1068)/3144)/((-441)/42)?
16506
Let k = 1385473/85 - 16300. Calculate the common denominator of k and 32/119.
595
Calculate the common denominator of 1*8 + 60*9/1296 and (-5 - 1)/((-696)/(-150)).
348
Suppose 4*g - 17*f - 580 = -19*f, 2*g = 4*f + 270. What is the lowest common multiple of g and 52?
572
What is the common denominator of 5/50 - (-123)/(-410) - 1158/(-315) and -41/12711?
88977
Let j = -1295 - -217. Let s = j - -17255/16. Let k = -3/10358 + 222727/103580. Find the common denominator of k and s.
80
Suppose -2*b + 2*h + 227 = -h, -116 = -b + 4*h. Suppose 0 = -164*v + 165*v + q - 12, 3*v - 68 = 5*q. Calculate the lowest common multiple of v and b.
112
Let s = 57/11 + -1769/352. Find the common denominator of 1113/(-276) + 6/2 - -1 and s.
736
Let n be 6441/(-38430) + (4/24)/1. Let x = n + 215643/8540. What is the common denominator of x and 13/109?
436
Suppose 4*h = 5*o + 70, o = h + 4*h + 7. Find the common denominator of (-8 - 26/o)/(1 + 0) and -21/185.
1665
Let i = -10582693/78 - -135677. Let y = -10475 + 125777/12. What is the common denominator of i and y?
156
Suppose -7*p - 15*p = 5*f - 1944, 4*f - 1467 = -5*p. Calculate the smallest common multiple of f and 54.
9666
Let j = 38 - 26. Let f be (-12)/(-4)*(-88)/j. Let u = f - -28. What is the least common multiple of u and 9?
18
What is the common denominator of 17/504 and 406/9947 - 5855/14994?
8568
Let u = -13814 - -18284. Calculate the least common multiple of u and 72.
53640
Let r(d) = -d**3 + 6*d**2 + 9*d + 2. Let m be 0/(8*(-1)/(-2)) + 7. Suppose -x - 8 = -3*x. What is the lowest common multiple of x and r(m)?
16
Let v be 1/5 - 13488322/460. Let g = v - -29321. Calculate the common denominator of g and -5/6.
138
What is the smallest common multiple of 3/((-3)/71)*(-203 - -188) and 7?
7455
Let k = -6303263/69936 - -4233/47. Calculate the common denominator of -23/1364 and k.
16368
Suppose -89*f = -95*f + 1092. Let c = 8878 - 88663/10. Calculate the common denominator of f/(-12) - (2 + -6 + 5) and c.
30
Find the common denominator of 89/10 and (-871)/(-66) + 1076/(-2959).
30
What is the common denominator of (-1805)/(-750) + 768/(-320) and -193/660?
3300
Let u = -7161823/639 + 78455/7. Find the common denominator of u and -30/7.
4473
Let q = -6529 - -3281. Let s = 19363/6 + q. Find the common denominator of s and (-167)/(-15)*1/(-2).
30
What is the common denominator of -41/293 and 70/(-23440)*-97 - 12/32?
293
Suppose -2*d + 3*t = -6*d + 33, -5*d = 4*t - 40. Find the common denominator of (2 - 6656/2604) + 8/d and -42/5.
1085
Suppose 4*x - 3*r = -5*r - 30, 4*x + 15 = r. Let h be x/(1/2*(2 - 4)). Suppose -h*n + 72 + 38 = 0. What is the smallest common multiple of n and 16?
176
Let d = 5650 - 5602. Calculate the smallest common multiple of 105 and d.
1680
Let p = 341 - 327. Let h = p - 419/30. Find the common denominator of h and 91/100.
300
Calculate the common denominator of (-1)/2 - 45534/(-52200) - 12/174 and -107/300.
300
Let a = -16576 + 16796. What is the lowest common multiple of a and 682?
6820
Let k be (5 - (-36)/(-8))/(2/9988). Let m = k + -34941/14. Calculate the common denominator of m and (-18)/12*(-97)/(-18).
84
Suppose 3*i - i = 8. Suppose 22 = i*g - 26. Suppose 9*c = 1304 - 1277. What is the least common multiple of c and g?
12
Let v(c) = -3 + 16 + 13*c - 12*c. Let g(j) = 15*j**2 + 1. What is the smallest common multiple of g(1) and v(-9)?
16
What is the least common multiple of (-21)/(2268/(-54408)) - 6/81*-3 and 756?
1512
Let z = -1193455/98 - -12178. Let v be -1 - (-34738)/40*(-4)/(-326). Let y = v + 105/163. What is the common denominator of y and z?
490
Let q(l) = 78*l**2 - 37*l + 77. Calculate the lowest common multiple of q(2) and 315.
315
Let b be (-22)/(-11) + 45081/32. Let x = b - 1411. What is the common denominator of x and -81/88?
352
Let z be ((288/(-30))/(-8))/(8/20). Suppose -4*y = -z*y - 5*j - 20, -5*j = 4*y - 30. Calculate the lowest common multiple of y and (1 + 0)*(1 - -1).
10
Let x be (3/((-9)/195898))/((-1152)/(-804)). Let f = -45574 - x. What is the common denominator of f and 5/2?
144
Let k = 47417/109 + -435. Find the common denominator of -56/3 and k.
327
Let z = 4/147183 - 769181/20556559. Find the common denominator of z and 59/69.
28911
Suppose -75*n - 640 = -91*n. What is the least common multiple of 520 and n?
520
Suppose 3*h + 1 + 23 = 0. Let n = 2 - h. Let d(g) = -2*g**3 + 27*g**2 - 10*g + 7. What is the smallest common multiple of d(13) and n?
230
Let k = -65947/264 - -1995/8. Let t = -13507 + 405317/30. Calculate the common denominator of t and k.
330
Suppose 2*a