 - 69. Suppose 12420 = 28*b + 103*b + 7*b. What is the lowest common multiple of b and z?
360
Suppose 4*d = 3*v - 2, -110*v + 105*v + 29 = -3*d. Calculate the least common multiple of 2057 and v.
20570
Let k be 0 + (-6207639)/12862710 + (-14)/(-49). Let u = k - -10/3603. Calculate the common denominator of -79/18 and u.
1530
Calculate the smallest common multiple of 270 and ((-710)/8)/(14 + 452/(-32)).
19170
Suppose 20*i + c = 24*i - 28, -3*c = 2*i - 14. Suppose -15 = i*o - 57. Calculate the lowest common multiple of o and 1/(-4) + 218/8.
54
Let s = 11 + -17. Let r(i) = -226 - 7*i + i**2 + 234 - 2*i**2. What is the least common multiple of 20 and r(s)?
140
Let x be (7 + -1)*13/(-2). Let v = x - -71. Suppose -3*s = s - v. What is the smallest common multiple of 1 and s?
8
Let t(j) = 2*j**3 + 2*j**2 - 28*j + 20. Calculate the least common multiple of t(5) and 144.
720
Let c(b) = 314*b + 3412. What is the least common multiple of 44 and c(-10)?
2992
Let v(n) = 200*n - 3392. Calculate the least common multiple of v(17) and 2697.
21576
Let x = -2234 + 2267. Calculate the smallest common multiple of x and 126.
1386
Suppose -5*a + o + 1505 = 0, -2*o = 1 + 9. Let c = a - 265. Suppose h - 5*g = 6*h, -2*g - 8 = -2*h. Calculate the smallest common multiple of h and c.
70
Let o = -36 + 86. What is the least common multiple of o and 20?
100
Let g = -24587/120 + 1028/5. Calculate the common denominator of ((-453)/(-120))/((-54)/72) and g.
120
Let o = 215 + -19. What is the smallest common multiple of 36 and o?
1764
Let g be (180/10)/(-9) + 3212/1602. Let d = -45625/6408 - g. Calculate the common denominator of d and 73/56.
56
Let t = 826 + -810. Suppose -z - 3 = 2*z. Find the common denominator of (z/t)/(6/388) + -1 and 59/4.
24
Let c = -20737/5070 - 5/507. Let q = -164 - -1436/9. Find the common denominator of c and q.
90
Let t = -435 - -87. Let v = t + 998/3. What is the common denominator of 10/39 and v?
39
Let t = -254 + 345. Suppose 259 = 3*f + t. Calculate the smallest common multiple of 21 and f.
168
What is the common denominator of -41/16 and (-605492)/377920 + 24/15?
18896
Let a = -24175 - -1087927/45. Calculate the common denominator of (123/2)/(-1093 - -1138) and a.
90
Suppose -6*a - 84 = 8*a. What is the smallest common multiple of ((-3474)/(-51) - 1) + a/51 and 6?
402
Suppose -3*w = -8 - 4. What is the least common multiple of w and 4*10/4*(-7)/(-35)?
4
Let q(l) = -113*l**2 - 12*l - 43. Let d be q(-5). Let v = d - -84263/30. Let k = -6/163 + -3949/3423. What is the common denominator of k and v?
210
Let m be (5/15)/(1/15). Suppose m*d = 27 - 7. Suppose -4*l + 84 = d*n, -3*l + n = 5*n - 66. Calculate the smallest common multiple of 27 and l.
54
Let z = 53575 - 8839978/165. Find the common denominator of (8/756*3)/(555/(-8806)) and z.
1485
Let z = -332/171 + 26297/9405. Let b = 871/530 - -374/53. Find the common denominator of z and b.
110
Calculate the common denominator of 52/2541 and ((-740)/(-1008))/(165/88).
22869
Let g be 4 - (7 - 2) - -304. Find the common denominator of (17 - (2 - -3))*(-1)/(-2) and (-1)/(-2)*g/(-21).
14
What is the least common multiple of 3 and -2*(-9)/324 - 1077/(-54)?
60
Let x be 5/8*1/237*-1. Let f = x - 379115/32232. Let o = f + 3809/357. Find the common denominator of o and 41/2.
42
Let j = 45 + -31. Calculate the common denominator of -2 + (0 - 81/j) and (-6)/21 + (-79)/(-154).
154
Find the common denominator of 29/315 and ((-5762)/14620)/(-3 - 0 - -5).
21420
Suppose 11*s = -29*s + 17*s + 1380. Calculate the lowest common multiple of s and 112.
1680
Suppose 0 = 5*r - 104 - 166. Suppose 0 = -467*i + 13807 + 898 - 695. Calculate the smallest common multiple of r and i.
270
Find the common denominator of 24/56*(6/16)/1 and 47/693.
5544
Let s = 1962167/403 + -3860934049/793104. Let c = s + 1/1066. Find the common denominator of -101/42 and c.
336
Let g(y) = y**3 + 6*y**2 + 4*y + 8. Let j be g(-4). Let a be 18/j - ((-6333)/(-3660) - 1). Let z = a + -6728/915. What is the common denominator of z and -67/2?
6
Let l(o) = -35*o + 184. Let m(k) = 3*k + 38. Let a be m(-11). What is the smallest common multiple of 7 and l(a)?
63
Let f(o) = 5*o**2 + 109*o - 258. What is the smallest common multiple of 4701 and f(-24)?
9402
Let s(c) = -c**3 - 3*c**2 - 5*c - 7. Let v be s(-3). Suppose v*p - 8 - 16 = 0. Find the common denominator of 117/p*(-12)/81 and -11/21.
63
Let l(z) = 4*z + 8. Let x(m) = 2*m + 4. Let o(p) = 2*l(p) - 5*x(p). Suppose 0 = 2*g - j - 14, j = 5 - 7. Calculate the lowest common multiple of o(-6) and g.
24
Let k = -20104 + 20105. Calculate the least common multiple of k and 16915.
16915
Let a(l) be the first derivative of 3*l**4/4 - 2*l**3 + 5*l**2/2 - 10*l - 28. Let r be a(4). Let t = r + -20. What is the lowest common multiple of 5 and t?
430
Suppose -50 = -4*b - 2*q + 126, 0 = b - q - 50. Suppose p - 2*x = -5*x + 16, 4*x = 0. Calculate the common denominator of b and 484/(-18)*(-12)/p.
6
Let m be 462/56 - 3/(-12)*-1. Let v = 125543/12 - 10455. What is the common denominator of m/(-68) + 12831/(-1190) and v?
60
Suppose 0 = s + 7*g - 95, -16*s = -25*s + 4*g + 51. Let k = -8 - -15. What is the lowest common multiple of s and k?
77
Let p(q) = -2*q**2 - 361 - 21*q + 3*q**2 + 387. Let z be p(19). What is the common denominator of (-38)/(-12)*(-42)/z - 4 and -23/21?
84
Calculate the common denominator of 846/(-20) + (-120)/(-150) and (10/(-4))/((-1)/((-14)/(-16))).
16
Let j = 4835341/1170 - 24797/6. Find the common denominator of -53/18 and j.
1170
Let q(h) = -4*h - 68. Let c be q(-21). Let j(n) = -2*n**3 + 32*n**2 + n + 13. What is the common denominator of -101/40 and j(c)?
40
Let s = -22 + 48. Let x be 2 + 1 - 2 - 131. Calculate the smallest common multiple of s and x/(-14) + (30/35)/(-3).
234
Let w be (6 - -3)/(-3) + 8252. Let c = w + -3498. Let d = -66555/14 + c. What is the common denominator of d and -51/20?
140
Let a = -49421/22 + 2250. Let q be (-4)/43728*-35*(-2)/7. Let k = -319711/54660 + q. Calculate the common denominator of a and k.
220
Suppose 694*r - 144 = 682*r. Suppose r*n - 155 = 385. Calculate the least common multiple of 90 and n.
90
Suppose 3*i - 4*g - 27 = 37, 10 = 5*g. What is the common denominator of 71/60 and (-298)/(-88) + (20 - i)?
660
Let k = 58 + -60. What is the common denominator of (-20)/11 + 2/2 and (52/234)/(k - (-116)/57)?
33
Let p(x) = -680*x**3 + 2*x**2 + x. Let a be p(-1). Calculate the common denominator of ((-300)/16 - 2) + -1 and a/90 + -2 + 8/(-12).
20
Let a = -197 - -206. Find the common denominator of 17/33 and (2 + (-17)/a)/((-1)/(-43)).
99
Let z(v) = v**3 - 10*v**2 - v + 9. Let f be z(10). Let s be (f/(-5))/(126/(-15)). Let x = -27/7 - s. What is the common denominator of 11/7 and x?
42
Suppose -630 = -4*f - 6*f. Suppose 0 = -s - 5*v + f, 0*v = -2*s - 2*v + 110. Suppose -s*y + 48*y + 10 = 0. What is the smallest common multiple of y and 32?
32
Let n(x) = 4*x**2 - 4*x + 22. What is the least common multiple of 6 and n(7)?
570
Calculate the common denominator of (46/(-56) - -4)/1 + (-32)/(-56) and (-2)/6 - 58/28.
84
Let d(f) = 2*f**3 + 31*f**2 + 66*f - 34. What is the least common multiple of 1316 and d(-11)?
1316
Suppose -2*i = -4*i, h + 4*i = -1062. What is the common denominator of -89/6 and h/54*1/(-10)?
30
Suppose -2*x - 4*l + 24 = -0*l, 4*x = -3*l + 28. Calculate the common denominator of 2/x*1218/(-105) and 41/25.
25
Suppose 13*j - 11 = 93. Suppose -6*c - 2*z = -4*c - 436, -4*z + j = 0. Calculate the least common multiple of 12 and c.
216
Suppose 1 = -k + j - 1, k + 5 = 2*j. Let f(p) = 342*p**3 + p - 1. Let r be f(k). Let q = r + -3110/9. Find the common denominator of q and 107/10.
90
Calculate the common denominator of -7/533 and (-3012)/(-29520) - 72/(-480).
1599
Let c = -1461885 - -6710052283/4590. Calculate the common denominator of -139/90 and c.
4590
Let b = -8 + 7. Let r(o) = -21*o**3 + o**2 + 2*o + 1. Calculate the lowest common multiple of 2 - 5 - (110/10 - 38) and r(b).
168
Suppose 5*v - 5465 = 3*q, -4*v + 7*v = 3*q + 3273. Calculate the least common multiple of v and 16.
2192
Suppose 2256 = 6*g - 534. Suppose 0 = 3*r - 135 + g. What is the common denominator of -29/11 and (r/(-8))/((-105)/60)?
77
Let n = 1291 + -827. Let b = n + -460. What is the sm