*v + 10. Let t be w(-4). Let u be 316/t + 8/2. Let n = 69/14 - u. Calculate the common denominator of n and -103/12.
12
Suppose 0 = r + 5, 55 = -2*u + 3*r + 154. Let d = -29428 + 29456. Calculate the least common multiple of d and u.
84
Let g = -5081/825 + 596/75. Let b = 6123 - 110065/18. Find the common denominator of g and b.
198
Let n = -4013/231 - -403/21. Let p = 5461 - 142047/26. What is the common denominator of p and n?
286
Let x be (-927577)/(-11198)*48/112 - 5*-1. Let r = -45/1616 - -248723/9047984. Let g = x + r. What is the common denominator of 65/8 and g?
8
What is the common denominator of 113/420 and -2 + (1038/(-400))/((-135)/60)?
2100
What is the least common multiple of 2*26/((-260)/(-285)) and 204?
3876
Let y = -6325/2 + 82393/26. Let v = 479/52 - y. Let q = 232 + -487/2. What is the common denominator of q and v?
4
What is the lowest common multiple of 126 and -28*5*(54/(-12)*-1 - 5)?
630
Suppose 0 = 4*j + 2*j + 6. Let n be (-20)/50*(-10)/j. Find the common denominator of 71/2 and n/6 + (-2275)/600.
24
Let k(i) = -3050*i + 24409. Calculate the lowest common multiple of k(8) and ((-4)/(-10))/((-2)/(-390)).
234
Calculate the common denominator of 31/18 and 594/54 + (-83001)/7524.
7524
Let l(j) = -253*j + 27075. Calculate the least common multiple of (-2)/6 + (-169)/(-3) and l(107).
56
Let f be 82/2 - (0 + 0)*-1. Suppose -p = 4*y - f, 0*y - y + 179 = 4*p. Let a = -1 + 5. Calculate the smallest common multiple of p and a.
180
Let q = -650271 - -1104160213/1698. Calculate the common denominator of -131/30 and q.
8490
Let g = 834 + -288. Calculate the least common multiple of 78 and g.
546
Let g = -70/223 - -12691/35457. Calculate the common denominator of g and 43/102.
5406
Let d be (-186)/9*(-51594)/(-504)*-3. Let x = d - 6348. What is the common denominator of x and 91/10?
210
Calculate the common denominator of (-11033)/15510*1 + 15/50 and 28/141.
141
Let c(t) = -t**2 - 12*t - 21. Let j be ((-370)/15)/((-2)/(-3)). Let x = j + 28. Calculate the smallest common multiple of c(x) and 7.
42
Suppose 4*j - 81*g + 337 = -80*g, 3*j = -g - 251. Let a = 52 - 28. Calculate the common denominator of (9/a)/(j/(-944)) and -145/42.
42
Let i be (26 - 20)*(-10)/(-6). Let g(b) = -2*b**3 + 11*b**2 - b + 4. Let x be g(i). Let l = -1893/2 - x. Calculate the common denominator of -17/16 and l.
16
Suppose 2*k = -3*g + 4, k - 6*k + 3*g = -31. Suppose k*o = -0*o. Find the common denominator of 2 and o + (0 - 4/40).
10
Suppose 7*h = 4*h. Suppose -2*j + j = z - 4, 0 = 2*z + 4*j - 10. Suppose z*y - 29 + 11 = h. What is the lowest common multiple of y and 15?
30
Suppose 7*j - 29 - 55 = 0. What is the smallest common multiple of j and 1188?
1188
Let t = 4238/11 + -1535/4. Find the common denominator of t and -58/9.
396
Suppose -12 = -2*i - 4*b + 4, 5*i + 2 = 4*b. Suppose -2*p - 104 = -i*l - 6*p, 0 = 3*l + 4*p - 146. What is the lowest common multiple of 12 and l?
84
Let q(s) = -4*s - 90. Let n be q(-23). Suppose -4*c - n*y = -86, -2*c + 0*y - 5*y = -23. Calculate the lowest common multiple of c and 36.
72
Let w be (-7)/((-28)/16) + 2. Suppose 10*l + 36196 = w*l. Let t = 126599/14 + l. What is the common denominator of -13/22 and t?
154
Calculate the smallest common multiple of 1425 and 57857/29 + ((-240)/(-420))/((-58)/7).
9975
Let f = 156 + -111. Suppose -2*y + 4*p - 5*p + 110 = 0, -y + 55 = -2*p. What is the least common multiple of f and y?
495
What is the lowest common multiple of 1/((75/210*(-1)/(-70))/18) and 11?
38808
What is the common denominator of -149/1800 and 3 + -1 + 1 - (-590)/(-135000)*678?
9000
Let b = 6487/1628 + -118/37. What is the common denominator of b and -99/8?
88
Find the common denominator of -113/72 and ((-89)/28)/((-432)/21).
576
Let q = -60298/9 + 57404029/8568. What is the common denominator of q and -97/34?
952
Suppose 5*c = 6*c + 38. Calculate the common denominator of c and (38/(-114))/((-4)/267).
4
Let c = -65 + 77. Suppose y = c + 8. What is the least common multiple of 16 and 10*(2/y)/(8/128)?
16
Let c(u) = -10*u + 178. Suppose 2*l - 3*b - 36 = 0, 0 = 3*l + l - 4*b - 80. Suppose -4*o + l = -0*o. Calculate the smallest common multiple of o and c(16).
18
Let s(i) = -i**2 + 14*i - 19. Let h be s(11). What is the common denominator of (-69 + -1)*-2*(-3)/264 and (37*(-9)/h)/3?
154
Let i be 4/30 - 116/(-30). Suppose -i*v = -136 + 112. What is the smallest common multiple of 12 and v?
12
Suppose 127*c - 132*c = j - 2, 4*j + c - 8 = 0. Suppose -2*w - 12*w = -2100. What is the lowest common multiple of w and j?
150
Find the common denominator of ((-6068)/(-9266))/74*(1 + 125/(-101)) and 41/3.
34239
What is the common denominator of 61/116 and (-12)/(-39) + 19992/(-128180)?
580
Let y = -66091353/680633770 + 4/617635. Calculate the common denominator of -97/2 and y.
1102
What is the common denominator of -23 - 11049/(-435) - 163/(-30) and (-25)/(-141)*8/(-5)?
282
Suppose 3*x + 5*t - 949 = 0, 957 = -28*x + 31*x - 3*t. Let k = 338 - x. Calculate the lowest common multiple of 34 and k.
340
Let f be ((-2932)/245635)/((-16)/216). Let m = f + 3/7558. Find the common denominator of -47/143 and m.
1430
Let l be 8/(-6) - 1/(-3). Let d be 3*l/1 + 598/(-1). Let z = -8389/14 - d. Calculate the common denominator of -27/2 and z.
14
Suppose 127*x - 124*x = 819. Find the common denominator of (1053/x)/(1 - 13/(-7)) and 63/46.
460
Suppose 100 = -3*q - 38. Let l be (75/(-3))/(q*(-2)/16). Let z = l + 347/138. Find the common denominator of z and -46/9.
18
Let g(v) = v**2 + 46*v - 361. Let x be g(7). Suppose 4*a = 5*s + 41, s + 15 - x = 0. Calculate the lowest common multiple of 12 and a.
12
Let g be ((-10)/15)/(3/(-18)). Find the common denominator of 55/39 + g/6 and 1 + (1525/(-15))/5 + 3.
39
Suppose -1676*t = -1580*t - 468480. Calculate the lowest common multiple of t and 5.
4880
Suppose -2*u - 4*v - 2 = 0, -3*u - 2*v - 4 = 11. Find the common denominator of ((-9)/u)/(-3) + 1139/32368 and 15/14.
1904
Let a = 212 + 1048. Calculate the lowest common multiple of a and 40.
2520
Let o(h) = h**2 + 119*h + 240. Calculate the least common multiple of o(0) and 330.
2640
Let m = 14/351 - -436/351. Let a be -9*(-9)/(-63) + 2. Let q = -253/70 + a. Find the common denominator of m and q.
390
Suppose -18*c = -3*i - 22*c - 18, -2*i + 21 = -c. Calculate the smallest common multiple of i and 8352.
8352
Let d be (1 - 0 - 10)*7/(-21). Find the common denominator of 3 - ((-170)/(-24) + d + -5) and 59/3.
12
Suppose w - 94 = -88. Suppose 12*h - w = 78. Calculate the lowest common multiple of h and 131.
917
Let p = 214 + -102. Suppose -9*l = -2*g - 7*l + 20, g = 6*l + 20. Calculate the smallest common multiple of g and p.
112
Let f = 23020 - 598439/26. Calculate the common denominator of -73/286 and f.
286
Let v = -173 + 170. Let u(s) = 6*s**3 - s**2 + s. What is the least common multiple of ((-7)/((-42)/135))/(v/(-4)) and u(1)?
30
Suppose -3*r = 5*w + 76, 0 = 5*r - 6*w + 9*w + 132. Calculate the least common multiple of 71 and r/(-9) - (3 + (-2 - 0)).
142
Let p(c) = 13*c + 473. Let y be p(-41). Find the common denominator of ((-185)/(-1628))/(3/y) and (2/6)/(10/42).
55
Find the common denominator of -6*4/(-42) - 476/1470 and 22/195.
1365
Suppose 813 = 3*u + 3*g, -4*g - 1365 = -5*u + g. Let p be (-1)/4 - (-1 + (-2612)/u). Let m = p - 3967/306. Find the common denominator of m and -49/30.
90
Let x be ((-36)/(-45))/((-2)/5). What is the least common multiple of 44 and (6 - 0)/(-1 - x)?
132
Let t = -102 - -105. Suppose -13 = -t*c - 7, 2*c = -2*y + 24. What is the least common multiple of 16 and y?
80
Let v = 23272/7 - 18128916/5453. Let l = v + -67765/1558. What is the common denominator of l and (-76)/(-57) + 233/(-24)?
8
Let c(g) = 10*g + 30. Let k be c(-24). Calculate the common denominator of -40/3 and 1/(k/(-71)) + 3/(-5).
42
Suppose 1472*x = 1486*x - 84. Let y(m) = 46*m - 6. What is the least common multiple of x and y(2)?
258
Suppose 0 = -4*d + 380 + 880. Calculate the smallest common multiple of 105 and d.
315
Let a(h) = h + 39. Let i be a(0). Suppose 0 = -3*r - 12 + i. Suppose 0 = 61*b + 24*b - 53*b - 64. Calculate the least common multiple of r and b.
18
Let q = 349931/33 + -10606. Find the common denominator of q and 56/837.
9207
Find the common denomina