4*b - c*b - 126. What is the least common multiple of 6/(1 - (-15)/(-21)) and b?
63
Suppose 223 = -17*p + 1141. Suppose p = 4*j + 7*t - 2*t, -4*t = 3*j - 41. What is the smallest common multiple of 206/6 + (-12)/(-18) and j?
385
Suppose 153*m = 139*m. Suppose 23*j + 31*j + 1836 = m. What is the common denominator of -3/14 and j?
14
Suppose -11*n = -173 - 366. Let d = n - 29. Let a = -12 + d. What is the least common multiple of a and 9?
72
Calculate the common denominator of 3/36 - (-969)/532 and 86/555.
3885
Let h be (-3 - (-3836)/(-474))/(1022/(-4)). Let u = h - -8/511. Find the common denominator of -61/33 and u.
2607
Find the common denominator of 35/666 and (-21)/(-7) + (56/228 - 1) + -3.
12654
Let c = -70883/1245385 - -6/5345. What is the common denominator of c and -25/3?
699
What is the common denominator of 254/7366 + (-6086)/(-3480) and 1/8?
120
Calculate the common denominator of 1/18 and ((-546)/(-8036))/(153/(-221)).
5166
Let k = 49 - 9. Let u = k - 40. Suppose -4*p + 22 - 10 = u. What is the lowest common multiple of p and 9?
9
Suppose -4*r - 16 + 85 = -3*n, 2*r = -2*n + 38. Calculate the lowest common multiple of 940 and r.
8460
Let n(i) = -4*i**3 + 8*i**2 + 24*i + 22. Let k = 239 - 243. Calculate the lowest common multiple of 12 and n(k).
1860
Let f = -4325 + 4703. Calculate the smallest common multiple of f and 378.
378
Suppose -3*j + 4*j = 10. Let x = -139 - -164. Suppose 0 = 3*a, 3*l - 3*a - x = -2*l. Calculate the least common multiple of l and j.
10
Let z(w) = -17*w + 2*w**3 + 3*w**3 + 1 + 16*w + 0*w**3. Let m be z(1). Find the common denominator of (-662)/(-120) - m/(-20) and -145/6.
30
Let m(p) = p**3 - 2*p**2 - p + 4. Let s be m(4). Suppose 6*y - s = 2*y. Let g = 147 - 99. Calculate the smallest common multiple of g and y.
48
Let s = -107035/48 - -2230. Let d = 9133 - 91231/10. Find the common denominator of d and s.
240
Suppose 0 = -5*p - 2*x + 954, -975 = -5*p - 2*x + 7*x. What is the least common multiple of p and 3?
192
Let v be (-2)/5 + (3410/25 - 2). What is the common denominator of 23/8 and (-3)/(-4)*(-2)/(12/v)?
8
Let x = 286 - 281. Calculate the common denominator of -33 and (0 - x) + (-2677)/(-531).
531
What is the least common multiple of 32/12*(-60)/(-40) and 506?
1012
Let k be 4 - 1 - (-2 - 8). Suppose 0 = -2*g - 3 + k. Suppose 0 = 4*r - g + 21, -s - 4*r = 7. Calculate the smallest common multiple of 17 and s.
153
Suppose 3*v = -679 - 140. Let i = 293 + v. Let j = 0 + 8. Calculate the least common multiple of j and i.
40
Let t = -35 - -39. Suppose 5*i + 6 = -t. What is the common denominator of 41/10 and (-3 + 70/22)/(i/(-7))?
110
Let o = 13716545/78579 + -16/8731. Let n = 175 - o. What is the common denominator of 19/3 and n?
9
Let b = -911985/4 - -229149. Let t = 1143 - b. Let n = 60547/20 + -3029. Find the common denominator of n and t.
20
Suppose -79*f + 31*f - 341 = -2837. Calculate the lowest common multiple of 196 and f.
2548
Let g = -21893/4496 + 16/281. Find the common denominator of g and 37/120.
240
Suppose 4*u - 24 = -0*u. Let w(k) be the first derivative of k**4/4 + 10*k**3/3 + 10*k + 63. Calculate the least common multiple of w(-10) and u.
30
Let i be 5*8/(-15)*-3. Let w(h) = 3*h - 16. Suppose -14*x + 352 = 2*x. Calculate the smallest common multiple of w(i) and x.
88
Let l = -176 - -404. Let p = -70 + l. Calculate the smallest common multiple of p and 12.
948
Calculate the common denominator of (3 + 1598/(-527))/((-161)/73 + 2) and 7/87.
13485
Let t = 13144 + -13016. Calculate the smallest common multiple of 180 and t.
5760
Let r = -10773 - -366213/34. Let i = 566327/3 + -188764. Find the common denominator of i and r.
102
Let o = 1/11105 + -410917/355360. Calculate the common denominator of o and 142/72 + (-2)/6.
288
Suppose 20*z - 5 = 15*z, 3*y = -2*z + 3173. What is the smallest common multiple of y and 453?
3171
Let g = 45784245541 + -46562570654066/1017. Let n = 19521/226 - g. Let x = n + 6852. Calculate the common denominator of x and 29/28.
252
Find the common denominator of 4*(-2 - -1) + 3 + 7338/6552 and 95/1638.
3276
What is the common denominator of 1216/(-418) - 4/(-10)*25/4 and 1/18422?
202642
Suppose 29*j - 315 - 120 = 0. Suppose 3*h = j + 129. What is the least common multiple of h and 80?
240
Suppose 987 = -2*k - 5*w, -k + 5*w + 1493 = -4*k. What is the common denominator of 3/330*(-131)/(-3) and (-1173)/k - 3/(-33)?
330
Find the common denominator of 15/7 and -4 + (10 + 4245/(-420))*118/(-6).
28
Calculate the common denominator of 120/90*(-26)/4 and 5*(-3)/522*63.
174
Let t(g) = -121*g - 1659. Calculate the smallest common multiple of t(-15) and 91.
1092
Let s(w) = -2*w**2 - 130*w + 1511. What is the least common multiple of s(10) and 5136?
56496
Let l be (2/(-413))/(8/(-14)). Let v = 7705/2832 + l. Calculate the common denominator of -133/120 and v.
240
Let j be (297/18)/(-11) + 534/(-4). Calculate the common denominator of 65/81 and 94/5*15/j.
405
Suppose 0 = -43*b + 37*b - 384. Find the common denominator of 1/(b/(-584)) + (-12)/2 and 69/4.
8
Suppose 8*f = 2*j + 10*f - 32, -f - 32 = -2*j. Suppose -25*t + 72 = -j*t. What is the least common multiple of 44 and t?
88
Let a be (-5 - -1 - 0) + 11. Suppose -14*k + 392 = -a*k. What is the least common multiple of 80 and k?
560
What is the common denominator of ((-37)/23680)/((-4)/(-830)) and -111/10?
1280
Suppose 3*m - 3*r = -4*r - 208792, m + r = -69594. Let v = -3479839/50 - m. Calculate the common denominator of 67/75 and v.
150
Let x be 976/183*(1 + 22/8). What is the common denominator of (2 - (-4 + (-335)/x)) + -4 and 17/15?
60
Let t(k) = 72*k + 900. What is the lowest common multiple of t(11) and 22?
18612
Let f = 267075 - 365892723/1370. What is the common denominator of f and 17/60?
8220
Let n(m) = -479*m + 2416. Let r(s) = -s**3 + s**2 - 1. Calculate the smallest common multiple of r(-1) and n(5).
21
Let z(c) = -2*c + 2. Let w = -39 + 33. Let b be ((-10)/w)/((-2)/12*1). Calculate the lowest common multiple of 4 and z(b).
44
Suppose 33 = 2*f - 3*c, 9*f + 4*c - 2*c - 257 = 0. Let l be (-3)/5 - 165/(-25). What is the smallest common multiple of -4*(-1 - 3/l) and f?
54
Let t(l) = -l + 21. Let h(n) = n + 7. Let b be h(12). Let m be t(b). Calculate the common denominator of (m/(-5))/(44/(-55)) and -47/9.
18
Suppose -28*n + 14561 = -26431. What is the lowest common multiple of n and 12?
1464
Let f(w) = -w**2 - 5*w + 5. Suppose -2*d - 6 - 2 = -2*a, -a - 2*d + 19 = 0. What is the smallest common multiple of f(-4) and a?
9
Let d = 6153/44 + -1739/11. Let s = -2/51 + -337/510. What is the common denominator of d and s?
20
Let x = -165734933/900 - -184150. Calculate the common denominator of 83/30 and x.
900
Suppose 18*t + 24 = a + 15*t, 0 = -5*a - 4*t + 139. Suppose 2*i + 3*w - 5*w - 4 = 0, -3*w = -5*i + 18. Calculate the smallest common multiple of a and i.
54
Let q = 34 - 28. Suppose -2*g + 5*d - 31 = 0, -3*g - q*d - 12 = -2*d. What is the least common multiple of 2 and (-5)/(-8)*(-64)/g?
10
Suppose 0 = -5*t - 265 - 365. Calculate the common denominator of 95/14 and ((-14)/(-63) - 0) + (-284)/t.
42
Suppose 0 = -4*n - 1202 + 2017 + 1945. What is the smallest common multiple of n and 759?
7590
Let a be (-126518)/(-16)*(-368)/144. Let h = -20207 - a. What is the common denominator of -61/4 and h?
72
Let q = -1236093/43 - -28741. Let z be (-26)/6 + 3 + 21639/6192. Let x = q + z. What is the common denominator of x and -93/74?
592
Suppose -2*h + 0*h = -524. Suppose 128 = -69*q + 166 + 583. Calculate the least common multiple of q and h.
2358
Let h = 2058 + -2049. Calculate the smallest common multiple of 375 and h.
1125
Let t(d) = 16*d + 1815. Calculate the lowest common multiple of t(-60) and 190.
1710
Let k = -61627/71706 - 23/703. Calculate the common denominator of k and (-66)/(-16)*8/12.
204
Let l = 5320193/498 + -32051/3. Let w = -29/102 - -104/17. Calculate the common denominator of w and l.
498
Let g = 4999/12 - 416. Find the common denominator of (-2 - (-230)/120)/((-69)/147) and g.
276
Let b(v) = 20*v - 35. Let m be b(-8). Find the common denominator of (-1*(-2 - -1))/(532/589) and (m/75)/(12/(-5)).
84
Suppose 2*b + 5*m + 3 = 0, b = -0*b + 3*m + 4. Let q(s) = -s + 10. Let x be q(6). Suppose -4*u + x = -24. What is the