0980
Let i = -7553987/6 + 1256113. Let f = i + 2895. Find the common denominator of 3/11 and f.
66
Let a = 8517 - 7197. What is the least common multiple of a and 1980?
3960
Find the common denominator of 57/385 and ((-6)/(-22))/((-5850)/13260).
385
Let s = -328154/5 - -5608638/85. Let q = s + -353. Calculate the common denominator of 8/5 and q.
85
What is the lowest common multiple of 140 and 2/9 - 0 - (-6 + 1824/(-54))?
280
Let a = 66 + -16. Let o(s) = -4*s**2 - 28*s - 33. Let q be o(-23). Let g = q - -16550/11. What is the common denominator of g and a?
11
Suppose -4*x = -3*a - 3*x + 993, 4*x + 984 = 3*a. Let b = a + -317. Calculate the smallest common multiple of 34 and b.
510
Calculate the lowest common multiple of 4 - 5 - (1 + -18 - -14) and 847.
1694
Let d(j) = 14*j**2 + 30*j - 28. Calculate the lowest common multiple of 6 and d(-3).
24
Calculate the common denominator of 1 - 8 - (-99)/1232*124 and -87/1016.
7112
Let h(a) = -2*a**2 + 49*a - 177. What is the lowest common multiple of 3 and h(20)?
3
Calculate the lowest common multiple of 92 and (-140)/(-21)*(-3036)/(-88).
460
Calculate the common denominator of -53/7928 and (-18)/(-6) - 189/(-6).
7928
Suppose -70962 = 27*f - 534012. What is the common denominator of (-4)/(-50) + (-9072)/f and 41/77?
539
Suppose 20 = 4*z - 4*g, -z + 8 = -5*g - 1. Let v = -29 - 25. What is the lowest common multiple of (2 - v/z) + (-6)/12 and 15?
15
Suppose 12*o - t + 28 = 17*o, 5*o - 10 = 5*t. Suppose -f + 1 = 0, -3*f + 119 = -o*h + 611. Calculate the smallest common multiple of h and 108.
1188
Let t(o) = -o**3 + 13*o**2 - 6*o - 12. Let w be t(12). Suppose -4*q - w = -7*q. Suppose 0 = 41*z - 43*z + q. Calculate the least common multiple of z and 48.
240
Let y = -4705 - -4735. What is the least common multiple of y and 240?
240
Suppose 130*z - 4536 = 4*z. Calculate the least common multiple of 2 and z.
36
Let k = 43643/10 - 4360. Calculate the common denominator of k and ((-136)/6)/((-55)/3).
110
What is the common denominator of -57/20 and ((-43)/2193)/((-10)/156)*(-3)/(-6)?
340
Let n = -512295095/346092 - -222114/151. Let y = n - -132/191. What is the common denominator of y and -49/18?
36
Let f be 7 - (1 + -4 + 3). Let u = 5001/4130 + 1/295. Find the common denominator of ((-26)/(-8))/(f/(-42)) and u.
14
Let v = 2700 + -2691. Let f(n) = -n**2 + n. Let p be f(-1). Let l(w) = -2*w**3 - 4*w**2 - 4*w - 2. Calculate the smallest common multiple of v and l(p).
18
Let t be 1/1 + -20 + 18 + -9. Find the common denominator of t/(3 + 2) - (-1060)/352 and 123/80.
880
Let m = 5804771/363 + -15991. Calculate the common denominator of m and -163/330.
3630
Let h(d) = d**3 + 16*d**2 + 24*d + 93. What is the least common multiple of 256 and h(-13)?
2304
Suppose -r = 4, 4*s + 53*r = 49*r + 24. Let q(w) = 13*w + 9. Calculate the least common multiple of s and q(9).
630
Suppose -16*m + 310 = -1517 - 829. What is the lowest common multiple of m and 1826?
1826
Suppose 5*n = -4*c + 17815, 13*n - 13355 = -3*c + 8*n. What is the lowest common multiple of 3568 and c?
17840
Suppose 0 = 4*u - 4*h - 4352, -u = 38*h - 33*h - 1130. Calculate the least common multiple of u and 3285.
3285
Let z = -21 - -30. What is the smallest common multiple of z and ((-6)/39)/((-22)/1430*5)?
18
Suppose -177*k = -10688 - 994. Calculate the least common multiple of k and 297.
594
Let x = -1727971 + 1112816671/644. Let s be (-10)/4*(-2)/92. Let k = x - s. Find the common denominator of -45/8 and k.
56
Calculate the common denominator of -57/572 and 16/(-56) - 13838/(-33880).
2860
Suppose -t + 3*q = -18, 4*t - 2*t = -q + 36. Let j = 19512 - 19510. Calculate the smallest common multiple of j and t.
18
Let t = -566848 + 2495831683/4403. What is the common denominator of 59/7 and t?
4403
Let d = 692 - 652. Calculate the smallest common multiple of d and (216/42)/((-2)/(-28)).
360
Suppose 4*u + 34 = -2. What is the smallest common multiple of 51 - -4 - (u + 4) and 50?
300
Suppose -2165 = -5*u - 5*q, 3*u - 4*q - 288 = 1004. Calculate the common denominator of 1086/u + 3 + -6 and -53/24.
72
Let o(g) = -g**3 + 6*g**2 + 86*g + 161. What is the lowest common multiple of 204 and o(13)?
1632
Let r(n) = 761*n - 8. Let s be r(8). Let z = 1/4180059 - 101760749653/16720236. Let x = s + z. Calculate the common denominator of -31/12 and x.
12
Let x(o) = -108*o**2 + o - 3. Let z be x(3). Find the common denominator of -163/60 and (-621)/z - (-3)/2.
180
Let n = -761297/9386802 - 7/12566. Calculate the common denominator of -17/415 and n.
3735
Let b(t) = 3*t**2 - 11*t - 4. Let z(j) = -2*j + 71. Let h be z(33). Calculate the lowest common multiple of b(h) and 10.
80
Suppose 20*y = 12*y + 40. Suppose -5*l = -20, -o + l = y*l - 20. Calculate the smallest common multiple of o and 48.
48
Let k = -36794/38055 - -1/5074. Find the common denominator of k and (424/(-80) - -5)*(-142)/(-12).
60
Suppose 589*w = 606*w - 159698. What is the smallest common multiple of w and 14?
9394
Let p be -11 - (-175)/(-50)*12/14. Suppose k + 141 = 4*k. Let y = k + p. Calculate the lowest common multiple of 24 and y.
264
Let p = -2027537/108036882 + 105/22354. Calculate the common denominator of 47/3 and p.
4833
Let x = -2/15407 - 878159/308140. What is the common denominator of (0 - -2) + (-48)/270 and x?
180
Let i be 1/((-10)/(-14136)) + 2. Let w = -1410 + i. What is the common denominator of (-100)/(-120) - 340/(-96) and w?
40
Suppose 3*a + 3*a = 1278. Let p = a + -211. Calculate the lowest common multiple of p and 308.
308
Let l(n) = -n**3 + 3*n**2 - 4*n + 2. Let i be l(3). What is the least common multiple of 6 and i/(-25) - (-51)/30*88?
150
Let z = 268 + 378. Let p be (8/(-18))/((-2)/(-2991)). Let w = z + p. Calculate the common denominator of w and 133/18.
18
Suppose -7*v = -10*v + 5*c + 2088, -4*c = 5*v - 3480. Calculate the lowest common multiple of 348 and v.
696
Suppose 4*x - 3*x = -2*i + 1, 5*x - 5*i = 35. Suppose -x*d - 2*k = 134, 5*d - 7*k = -12*k - 140. Calculate the least common multiple of 28 and d/(-2) + 3*1.
112
Suppose -5*l = -6*l + 20. Let n be -2*95/l*-2. Suppose -n*k = -79 + 3. Calculate the smallest common multiple of k and 48.
48
What is the common denominator of (-13770)/(-145152)*8/(-6) and -163/840?
3360
Calculate the common denominator of (-35)/(-84) + (-4)/48 + (-784)/3270 and 67/35.
3815
Let r = 218/205 - 68817/65600. What is the common denominator of r and 127/54?
43200
Let k(u) = -16*u**2 + 68*u - 75. Let t(f) = 11*f**2 - 46*f + 50. Let m(c) = -5*k(c) - 7*t(c). Calculate the smallest common multiple of m(7) and 10.
230
What is the common denominator of 65/408 and 534/8*74/1332?
408
What is the common denominator of 121/10 and 52012/(-62568) - (2/(-24) + (-9)/12)?
78210
Let i(f) = -3*f**3 + 11*f**2 - 3*f + 12. Let p = 1 + -6. What is the lowest common multiple of i(3) and ((-6)/(-10))/((-1)/p)?
21
Let u = -734624/375 + 1959. Let x = u - -10489/4125. What is the common denominator of x and 93/106?
1166
Let s = -34934/6849 + -8/761. What is the common denominator of s and (5 - 2) + 1380/40?
18
Let r be (2 - 8) + 1 - (7 - 8). What is the common denominator of 6/r*(2058/(-612))/(-7) and 39/2?
68
Let q = 127754 - 127628. Suppose 2*m - 170 = -3*d + 126, 5*d + m = 491. Calculate the least common multiple of q and d.
882
Let d = -248/75 - 84/25. Calculate the common denominator of d and (2/(-6))/(73/33).
219
Let p = -2733 - -2817. Calculate the lowest common multiple of p and 8.
168
Suppose a - 2*y + 72 = 0, 0*a = a - 4*y + 72. Let d = -1955/27 - a. Find the common denominator of d and 13/(-4) - (-16781)/14532.
189
Let o = -543823/24 - -22656. Find the common denominator of o and (-4)/10*2 + (-51)/90.
120
Let d = 20076 - 1284799/64. Let q = -4/3105 + -61471/6210. Find the common denominator of q and d.
320
Let r be (-3)/(-1 + 4)*(-72)/3. Let j be (171/r)/((-1)/210). Let q = j - -1511. Find the common denominator of q and -23/16.
16
What is the lowest common multiple of 1350/(-405)*5724/(-10) and 1272?
3816
Let q be 1/8*-3 + 51/8. Suppose -2*r + 9 = y, -5*r + 1 = -3*y + q. Let b(t) = -t**3 + t + 6. What is the lowest common multiple of r and b(0)?
6
Let j = -43651 + 11480174/263. Calculate the common denominator of j and 29/9.
2367
Let o = 2607 - 2583. What is the lowest c