466. Calculate the smallest common multiple of t(4) and 56.
1512
Suppose 0 = 7*w + 31 - 38. What is the common denominator of (-612)/(-1260) - (w + (-2)/1) and 41/35?
35
Let o = -36 - -41. Suppose o*i - h - h = 133, i = -3*h + 30. Calculate the smallest common multiple of 33 and i.
297
Calculate the common denominator of 175/(-10)*-9*5/(-100) and 27/286.
1144
Let s = -101 - -103. Suppose -n - 4*i + 15 = -1, 3*n + s*i = 88. What is the smallest common multiple of n and 16?
32
Suppose -12*j + 11400 = 6*j + 2*j. What is the smallest common multiple of j and (2/3 - (-240)/(-36))*-1?
570
Let o = -933787/1069050 + 1/7127. Calculate the common denominator of o and -47/630.
3150
What is the smallest common multiple of 20 and (-8*6)/(126/540 + 45/(-54))?
80
Let z = 112388605/704 - 159643. Calculate the common denominator of z and 83/192.
2112
Suppose -3*v + 0*v + 2*s = -52299, 5*v = -3*s + 87184. Let f = 3556775/204 - v. Find the common denominator of f and 33/8.
408
Let o be 3/(-1) + (-27747)/(-60). Let m = 2566/5 - o. Let y = m + -53. What is the common denominator of y and -9/10?
20
Suppose -6*k = -0*k + 30. Calculate the lowest common multiple of 28 and (462/(-30))/(1/k).
308
Let t = 5376909/11792326 + 5/64793. Find the common denominator of t and 59/42.
546
Let a = -959 - -1351. Let x = -312 + a. What is the least common multiple of 10 and x?
80
Let f = 80 - 73. Let m = f - 2. Suppose 5*o = -4*v + 7 + 19, 2*o + 49 = 5*v. Calculate the lowest common multiple of m and v.
45
Calculate the common denominator of (0 - 1)/((-338)/16) and ((-226)/(-35))/((-36608)/(-4928)).
1690
Suppose -5*t - 20 = 0, 0*x - x + 4*t = -114. Let l(j) = j**3 - 8*j**2 - 7*j + 4. Let v = 62 - 53. What is the smallest common multiple of x and l(v)?
1078
Suppose -5*v + 12804 = 2*j, v - 2220 - 350 = -5*j. Find the common denominator of (-14440)/v + 5/1 and 19/7.
448
Let t = 79447/736725 - 286/1175. What is the common denominator of 52/121 and t?
6897
Suppose -21*g - 872 = -13*g. Let s = g - -55. What is the common denominator of ((-67)/s - 0)/(3/9) and 49/58?
522
Let z = 179931441645089373/40964 + -4392428513582. Let x = 2/10241 - z. Let h = x - -15911/44. What is the common denominator of -21/5 and h?
55
Let i(f) = -25 + 22*f**2 + 46*f + 8*f**2 - 48*f + 3*f**3 - 2*f**3. Calculate the lowest common multiple of 55 and i(-30).
385
Let r be (-130)/4 - (14/4)/(-7). Find the common denominator of (r + 2)/(2032/(-5)) and -139/12.
3048
Find the common denominator of ((-172)/15050)/(18/(-15)*1) and -17/264.
9240
Suppose 23*f = 3*u + 21*f + 74, 5*f + 43 = -2*u. Find the common denominator of 31/258 and -7 + ((-844)/u - 9).
258
Let k = 64/23393 - -1966843/59184290. Find the common denominator of k and 51/2990.
32890
Suppose -3*c - 14 = -26. Let o be 1 + c + 0 - 3. Suppose 0 = 4*n + o*h - 26, 0*h = 5*h - 5. What is the least common multiple of 3 and n?
6
Let d = -2458957827/1646 + 1493899. What is the common denominator of 77/2 and d?
1646
What is the smallest common multiple of 1602 and 2/(-4)*((6 - -3) + -6 - 7)?
1602
Calculate the common denominator of -2*(5 - 1) + 80467/13406 + 2 and -1/2.
13406
Let r be (3 - (-3 + -5)) + 4. Suppose 43 = -2*n + r. Find the common denominator of (-3)/n*(1 + 63)/2 and 53/8.
56
Let s = -3272 - -3325. Calculate the least common multiple of 477 and s.
477
Suppose -111*l + 41*l + 609 = 189. Calculate the smallest common multiple of 6153 and l.
12306
Let l = -39634 - -1347613/34. Let z = 19759/8 - 2466. What is the common denominator of l and z?
136
Let q(g) = g**3 + 73*g**2 - 27*g - 1317. What is the least common multiple of 1308 and q(-73)?
1308
Suppose 13 = -2*o + 41. Suppose 60 = o*j + 4. Suppose -j*n + 46 = 3*f, -52 = -f - 2*f - n. What is the least common multiple of f and 8?
72
Let j = 6222 + -5968. Calculate the least common multiple of j and 14.
1778
Suppose 5*y - 3*r + 81 = 0, 0 = -3*y - y - 4*r - 84. Let i be -19 - y - -1*3. Calculate the common denominator of (3 - (-13)/(-4))*7 + i and -77/4.
4
Let j = -23540 + 5155243/219. Calculate the common denominator of j and -15 + 849/57 + 544/114.
219
Let t = 2848 - 3995. Let y be 2 + -3 + t + 4. Let m = y - -5677/5. Calculate the common denominator of 10/3 and m.
15
Let d(h) = -317*h + 58. Let g be d(7). Let i be (-2)/6 + 596230/(-276). Let l = i - g. What is the common denominator of 5/12 and l?
276
Find the common denominator of 1/744 and 25/(-4)*(-7089)/12510.
744
Suppose -17*j + 637 + 179 = 0. What is the least common multiple of j and 152?
912
Let z = 292127/60 + -4869. Calculate the common denominator of 29/96 and z.
480
Let f = 4698/11 - 23358/55. Calculate the common denominator of 17/1944 and f.
9720
What is the common denominator of -35/104 and (((-87)/(-18))/((-12)/3))/((-26)/(-3))?
208
Let d be 124 - -1 - 84/14. Let m = 126 - d. Let x = 22 - 4. What is the smallest common multiple of x and m?
126
Let x be 8 + 0 - (-4 - -7). Suppose -x*a + 0*a - 55 = -5*q, 0 = 3*a - 3. Suppose 132*u - 108 = 126*u. What is the least common multiple of u and q?
36
What is the lowest common multiple of (-17)/(-272)*-8 + (-1)/((-2)/43) and 280?
840
Suppose 3*i + 256 - 301 = 0. Find the common denominator of 109/70 and 126/330 - 9/i.
770
Suppose -2*h + 3*h - 6 = -k, h + 3*k = 10. Suppose 3*x - 2*t = -h, 5*x + 4*t = 46 - 16. What is the smallest common multiple of 10 and x?
10
Let a = -872/23413 + -470874146/1475019. Let h = a - -2196/7. Find the common denominator of h and 43/162.
162
Suppose -10*g + 14*g - 4 = 0. Let k be g/4 - (-39)/4. Suppose 297 = k*v - v. What is the least common multiple of 30 and v?
330
Suppose -5*w + 3*g + 0*g = -483, -3*w = -2*g - 289. Let c = 0 + w. Calculate the least common multiple of c and 121.
1089
Let z = -1039493/524 + -1308/131. Let l = -2019 - z. Find the common denominator of 19/25 and l.
100
Let n = 11994311387169731/155862 + -76954686757. Let p = n - -1/1237. Calculate the common denominator of p and 77/16.
1008
Let o = -27 + 29. Suppose 3*p + 5*w - 85 = -o*p, 3*p + 4*w = 48. Let t = 37 - 29. Calculate the lowest common multiple of p and t.
40
Let z(m) = -13*m + 1. Let d(w) = -2*w**2 + 53*w - 26. Let g be d(26). Suppose g = -18*r - 0*r + 504. Calculate the least common multiple of z(-1) and r.
28
Let l be (-3)/20*-2*6580/48. Let v = l - 739/16. What is the common denominator of 123/20 and v?
80
Let c(m) = m**3 + 7*m**2 - 88*m - 633. Calculate the smallest common multiple of c(-8) and 1771.
1771
Suppose -10 = 15*x - 55. What is the common denominator of 1734/(-272) + x/(3/(-4)) and -85/82?
328
Let l be (-2)/2*9 + 4. Let b = l + 16. Let y(r) = r**3 - 7*r**2 + 2*r + 4. What is the smallest common multiple of y(7) and b?
198
Let k = -238063/18 - -13232. Find the common denominator of k and 19/201.
1206
Let h(u) = 5*u**2 + 15*u - 9. Let q be h(5). Let s = q - 181. Calculate the least common multiple of 14 and s.
70
Let b be (15504/(-84))/((-22)/(-1973)). Let t = -16553 - b. What is the common denominator of -62/21 and t?
231
Let l = -1080/13 + 48781/572. Let v = 120525 - 2892563/24. Calculate the common denominator of l and v.
264
Let i = -4287 - -115762/27. Let k = 151/1080 - i. Find the common denominator of -97/12 and k.
120
Let p = -140841 - -65350153/464. Find the common denominator of 71/928 and p.
928
Suppose -2*y = p - y + 11, -2*p + 5*y = 15. Let m = 10 + p. Calculate the common denominator of -56/9 and 9/81 - (m/(-2) + -2).
9
Calculate the common denominator of 12/(-810)*5418/(-1092) and -76/81.
5265
Let k(r) = -r**2 + 17*r - 57. Let u = 311 + -305. Calculate the lowest common multiple of 3*(16/3)/4 and k(u).
36
Let p = 249149/116112 + 1/14514. Let u be (-2 + -1)*(-1)/3854. Let i = 132993/38540 - u. What is the common denominator of p and i?
240
Suppose -7*x + 24 = -3*x. Suppose x*a - 7*a - 3397 = 0. Let f = 47471/14 + a. Calculate the common denominator of f and -5/4.
28
Let c be ((-10)/2)/((-41)/(-1353)). Let w = c + 1985/12. Calculate the common denominator of 53/21 and w.
84
Suppose 164 = 4*t - 396. Let k = 154 - t. Suppose 2*u = -3*v + 62, 60 = 2*u - 3*v - 14. Calculate the least common multiple of k and u.
238
Let f = -199923/108509 - -2/5711. Let p be (2 - 819/513)/((-4)/219). Let v = f - p. Calculate the common denominator of 75/4 and v.
4
Let c = -61093603/18 +