5*h = 3*u - 70, -u + 5*h = 28. Calculate the lowest common multiple of u and 2440.
17080
Let m = 11/3858 + -24337/868050. Find the common denominator of -11/750 and m.
6750
Suppose 3*g = -5*z + 15, 0*g = -3*g + 2*z - 6. Suppose -v + 14 = -2*d, g*v = 3*v + 5*d - 20. Find the common denominator of -23/6 and (-3)/v*(-30)/8*22.
12
Suppose -l - 12*r = -8*r - 16, 4*r - 16 = 0. Calculate the least common multiple of 6 - (-15)/(l - 5) - 2 and 573.
573
Let h = 819/2 - 441. Let v(j) = -j - 2. Let o be v(2). What is the common denominator of h and (59/o)/(3/(-6))?
2
Suppose -121 = 4*a - 15*a. Suppose -2*q + q + a = 0. What is the lowest common multiple of q and 7?
77
Let v be 48/21 - ((-90)/(-21) - 4). What is the smallest common multiple of 44 and v/(-7) + 1806/147?
132
Suppose -3*m + 303 = -3*a, 4*a + 0*m = -4*m - 444. Let r = -405 + 283. Let p = a - r. Calculate the least common multiple of p and 18.
144
Suppose 6*o - 34 - 74 = 0. Let p = -313 + 198. Calculate the least common multiple of o and (-88)/(-5) + (-46)/p.
18
Suppose o + 4*k - 2 = 6*k, -2 = -o - 2*k. Suppose -3*m = m - 24. Calculate the smallest common multiple of (-3 + 1)/(o/(-6)) and m.
6
Find the common denominator of 1/(-8)*(-12 - 8008/(-741)) and 89/150.
2850
Suppose 35*a - 11928 = 28*a. Let f = -37497/22 + a. Let w = -605/234 - -30/13. What is the common denominator of f and w?
198
What is the lowest common multiple of 825 and 870/522*(-1 + 562)?
14025
Let i(y) = 408*y**2 - 27*y + 72. Calculate the least common multiple of 4 and i(2).
3300
Let p be (-1619 - (3 - 2)) + 2. Let g = 29219/18 + p. What is the common denominator of g and -61 + 6672/112 - (0 + (-1154)/(-280))?
180
Let j = -2 + 5. Calculate the common denominator of 75/44 and 23/j*(-9)/24.
88
Let o(r) = r**2 - 21*r + 74. Calculate the lowest common multiple of 6 and o(20).
54
Let t be -3*(-17839)/89145 + (-15)/25. Let d = t + -12751/47544. Calculate the common denominator of d and -63/104.
728
Suppose 0 = 3*o - 9 + 27. Let s(i) = -i**3 + 8*i**2 - 7*i + 6. Calculate the least common multiple of ((-28)/21 + (-10)/o)*18 and s(7).
6
Let h = -5239/2 + 2627. Let f = -10161 + 995787/98. Calculate the common denominator of h and f.
98
Let t = -90 - -94. Find the common denominator of -7*(-7)/(-14)*(-1)/t and 41/302.
1208
Let r(s) = 2*s**2 + s - 2. Let h be r(-3). What is the common denominator of 139/42 - 25/(-525)*18 and (6/h)/((-3)/(-6))?
78
Let n(d) = -4*d**2 - 39*d + 23. Let z be n(-10). Suppose 15*g - 3*t - 17 = z*g, 0 = 3*g + 2*t - 6. What is the smallest common multiple of g and 156?
156
Let m = 23 + -21. Suppose -i + 3 = 2*y - 5, 8 = -m*i. Suppose -15 + 35 = 4*t. What is the smallest common multiple of y and t?
30
What is the least common multiple of (9 - -411)*(-3)/(-2) and 175?
3150
What is the common denominator of 163/270 and (38/(-162))/((-3542)/(-264))?
43470
Let g be 4316/54 - (-14)/189. Let q = 145 + -79. Let t = g - q. What is the lowest common multiple of 204 and t?
1428
Suppose 2*i = -2*h + 66, -2*h = -226*i + 227*i - 36. Calculate the lowest common multiple of 285 and i.
570
Let s(o) = o**3 + 109*o**2 + 93*o - 1614. Calculate the smallest common multiple of s(-108) and (5/1)/((-9)/(-882)).
1470
What is the smallest common multiple of 155/(-465) - (-2161)/3 and 960?
2880
Let o = -17993 + 24737. Calculate the smallest common multiple of o and 24.
6744
What is the common denominator of 37/32 and 2/12 + 22507/(-18744)?
352
Let l = 1321/910 + -164/65. What is the common denominator of -17/46 and l?
322
Let i be (-1)/5*-5 + (-3 - -5). Suppose -238 = -i*z - 4*g, -g - g + 162 = 2*z. Calculate the smallest common multiple of z and 16.
688
Let c = -156 + 256. Find the common denominator of 51/92 and ((-426)/c)/(24/(-20)) - -2.
460
Calculate the least common multiple of (61 + -59)/(((-3)/6)/(-1)) and 88.
88
Let p(r) = -60*r - 2. Let g be p(2). Let q = g + 329/3. Let x = 9158 + -274841/30. Find the common denominator of q and x.
30
Let g be ((-418159)/20)/7 - 60/(-300). Let y be 2/6 - 35705/(-12). Let n = g + y. Find the common denominator of -55/16 and n.
80
Suppose -4*i - 20 = -o, -7 = i + 4*o + 15. What is the lowest common multiple of 280/45 + i - (-140)/18 and 218?
872
Let c be 2/6 + (-170)/(-180). Let x = -127/36 + c. What is the common denominator of 6/(-11) + 8166/2508 and x?
76
Let o(r) = -390*r**3 - 4*r**2 - r + 3. Calculate the lowest common multiple of 429 and o(-1).
4290
Let c = -402467 + 139253681/346. Find the common denominator of c and 1/10.
1730
Suppose -75 + 3 = -2*i. Let b be i/(-27) - 38/(-6). Suppose -156 = -b*z + z. What is the common denominator of z and 33/4?
4
Let r = -1088870 + 336461432/309. Let o = -164267/67980 + r. Find the common denominator of 37/2 and o.
220
What is the smallest common multiple of 624 and -4 + (31 - 45/15)?
624
Find the common denominator of 17/156 and -1093*(-1)/1170 + 5/((-50)/4).
468
Let o = -137 - -231. Suppose 4*a + 3*u = 326 - o, 3*a - 161 = u. Let t = -44 + a. What is the lowest common multiple of 9 and t?
99
Find the common denominator of 366/(-1098) - 1367*(-2)/7320 and -117/1220.
1220
Suppose 0 = 4*w - 722 + 10. Suppose 5*i - 362 - w = 0. Let x = i + -100. What is the least common multiple of x and 32?
32
Let r = 16694182833/10738948 - 3/976268. Let i = -3119/2 + r. Calculate the common denominator of -87/22 and i.
22
Let n(m) = -m**3 + 44*m**2 - 252*m - 81. Calculate the smallest common multiple of n(37) and 712.
712
Suppose -x - 4*x = -490. Let n = -70 + x. What is the smallest common multiple of n and 1392/(-638)*11*2/(-12)?
28
Let t be (-286)/48 + (-2)/(-7 - -1). Let h = 11/2 + t. Let k = 1/24 - h. What is the common denominator of -16/11 and k?
66
Let m = -501531/77 + 6513. Calculate the common denominator of -71/735 and m.
8085
Let l be -4 - (2 + (-2570722)/189). Let a = l + -13598. Calculate the common denominator of a and -17/15.
135
Suppose 0 = 3*m + 66 - 264. What is the lowest common multiple of (450/175)/((-2)/(-11) - 217/1617) and m?
594
Let z = -608 + 618. Calculate the common denominator of (-2)/z - (-9232)/960 and -63/68.
204
Suppose -69*l + 2*a - 53418 = -82*l, 2*a - 12318 = -3*l. Calculate the smallest common multiple of l and 330.
45210
Let o be (-6 + -6)/((-6)/16). Suppose 5*y - 8 = o. Let k(i) = 10*i - 776. Calculate the smallest common multiple of k(82) and y.
88
Let k = 28 + -18. Suppose -19 = -17*d - 2*d. What is the smallest common multiple of k and (-4 - (80/(-12) + d))*15?
50
What is the common denominator of ((-336)/317912)/(56/441) and 73/22?
35684
Let y be (-25)/((-2)/30*-5). Find the common denominator of -125/12 and (-2)/(-48)*y/(-2) + -2.
48
Let t(m) = -10*m**2 + 98*m + 8. Calculate the smallest common multiple of 590 and t(6).
1180
Let q = 37880669/3966 + 1639/661. Let r = 9529 - q. Find the common denominator of -23/5 and r.
30
Let k = 89 + 249. Let d = k - 333. What is the smallest common multiple of d and 23?
115
Let a = -39 - -66. What is the smallest common multiple of a and 264/(-110)*3/(-2)*15?
54
Let g be (10 - 12) + -1 + 1. Suppose 32 = 4*x - 16. Calculate the least common multiple of x and (-110)/(-25)*((g - 0) + 7).
132
Let d = 1/663350 - 5141973/670315175. What is the common denominator of d and -25/2?
4042
Let x = -3894 - -4132. What is the smallest common multiple of x and 68?
476
Suppose 32*v - 13*v - 1425 = 0. What is the lowest common multiple of 375 and v?
375
Suppose -w + 878 = -0*t - 5*t, 0 = -t + 4*w - 168. Let v = 182 + t. What is the smallest common multiple of 108 and v?
108
Let o = -453 + 686. Let z = -441 + o. Calculate the common denominator of 32/z - 2966/(-520) and 41/80.
80
Let d(j) = -j + 4. Let w be d(2). Suppose c = 38 + w. Suppose -6 = -2*n + q + 28, -2*n + c = 2*q. Calculate the lowest common multiple of n and 32.
288
Suppose -61 = -2*r - 17. Calculate the smallest common multiple of r and 32/240 - (-24)/(-270)*-111.
110
Let b = 7810/13 - 189247/312. What is the common denominator of b and -139/48?
48
Let f be -8 + 11 - (-4)/528*-40642. Let v = -923/3 - f. Calculate the common denominator of ((-11)/3)/(68/6) and v.
374
Let c be 1989/(-34) + 3/18*3. Let f = -17853/20 - -893. What is the common denominator of f and 5/10 - c/5?
20
What is the common denominator of (-948)/(-2607) - (-1498)/(-5632) 