0 - -1864. What is the lowest common multiple of 16 and a?
1648
Suppose 12 = -v - 3*o, -o = -4*v - 73 - 27. Let n(r) = r**3 + 25*r**2 + 24*r + 10. What is the smallest common multiple of 69 and n(v)?
690
Suppose 5*c + 5*b - 5 = 0, -2*b + 0*b + 2 = 3*c. Let h be (-3)/(-3 - c)*-6. Find the common denominator of 61/10 and 138/28 + (-10 - h).
70
Let x(j) = -4*j**2 - 428*j + 88. Calculate the lowest common multiple of 217 and x(-102).
65968
Suppose 2*k + 5 = -z, 2 + 8 = 5*k - 2*z. What is the least common multiple of (1 + k - 6) + 10 and 4?
20
Let x be 4 + (-5492)/(-20) - (-2)/5. Let r = -229 + x. Calculate the smallest common multiple of r and 20.
100
Calculate the common denominator of (-18)/90 + (-4)/(-10) - 438/3300 and -83/50.
550
Let v = -4921/30 + 751/5. Suppose 0 = 4*i + 15 + 5. What is the common denominator of -18*(4/i)/2 and v?
30
Let c(m) = -2*m**2 + 81*m - 37. Calculate the lowest common multiple of c(40) and 537.
537
Let f = 5977 - 5896. What is the lowest common multiple of f and 19?
1539
Let k(p) = -p**2 + 18*p + 21. Suppose 17 = -2*h - 2*r + 59, -r = 5*h - 97. Let c(b) = b**2 - 7*b + 6. Calculate the smallest common multiple of c(7) and k(h).
6
Find the common denominator of (-73)/(-6)*(15 - 1)/(-1260) and 71/900.
2700
Let g = -35375 - -1131989/32. Find the common denominator of g and 2/(-9) + 547/396.
352
Let z(n) = -10*n - 205. Let h be z(-23). Suppose t + 2 = 33. Suppose 0 = 2*k - x - h, -t + 1 = -5*k - 4*x. Calculate the smallest common multiple of k and 22.
110
Let n = 566 - 4547/8. What is the common denominator of n and (-17 - 1938/(-119))*(-133)/(-6)?
24
Let r be (-4)/(-14) - (-33420)/140. Let l = -206 + r. What is the least common multiple of 30 and l?
330
Suppose -144*c + 11642 = -9958. Let r = 30 + 105. What is the smallest common multiple of r and c?
1350
Let r(u) = -57*u - 671. What is the smallest common multiple of 15 and r(-43)?
5340
Suppose -7*h = 15 - 85. Calculate the common denominator of -50/9 and 97/h*(-30)/144.
144
Suppose 57*z + 11 = 58*z. Suppose 0 = -z*c + 36 + 74. Calculate the least common multiple of c and 45.
90
Suppose 25*x - 39737 = -4686 - 1451. What is the lowest common multiple of x and 189?
12096
Let b be (-68)/(-2)*(-6)/(-12). Let t be 6/4*(-8)/6 + 2. Suppose -3*l + b = g, t = 4*g + g - 2*l - 34. What is the smallest common multiple of g and 16?
16
Suppose 2*m + 3274 = 5*g + 592, -2*m = -2*g + 1074. Calculate the least common multiple of 670 and g.
2680
Suppose t - 2*t + 1589 = 4*s, 7855 = 5*t + 2*s. Let y = 3053/2 - t. What is the common denominator of y and 2233/(-294) - (-12)/(-21)?
6
Let f = -26 + 29. Let d be 0 - (-1215)/(-10)*(-68)/f. Let p = -44131/16 + d. Find the common denominator of p and -3/10.
80
Let g be 734/3 - 30/45. Let a = 288 - g. What is the least common multiple of a and -2 - (-40)/(2 + 0)?
396
Calculate the lowest common multiple of 2074/8 + 540/(-432) and 12.
516
Let q = 2455/4 + -21851/36. Calculate the common denominator of q and 20/3073.
27657
Let a be 236/30 - 2/(-90)*6. Let k(s) = -3*s**2 - 7*s + 16 + 3*s**2 + s**2. What is the lowest common multiple of k(a) and 12?
24
Calculate the common denominator of -65/22 and (-3213)/(-153)*(-1)/4.
44
Suppose 0 = k - 4*s - 20 - 162, 5*k - 974 = 4*s. Calculate the lowest common multiple of k and 1100.
9900
Let t be (-6 - -9) + (1 - 4203). Let i = 10363 + t. Let p = i + -166450/27. Calculate the common denominator of p and 8/21.
189
Suppose -4*k - 7*w = -2*w + 17, 0 = 5*k + 2*w. Suppose -8*u = -k*u - 252. What is the least common multiple of u and 6?
42
Let o = 6/54989 + -8194369/9238152. Calculate the common denominator of 99/224 and o.
672
Let l = 7682 - 7449. Calculate the lowest common multiple of 11 and l.
2563
Let z be (-1)/2*(16 + -706). What is the common denominator of (66/68 + -1)/(z/(-322)) and -1/27?
2295
Suppose -48*f - 852 = -52*f. Find the common denominator of 59/2 and 72/(-96) - f/(-28).
14
Let j = -11359 - -11371. What is the lowest common multiple of j and 124?
372
Let t = -12884299/1068 - -12064. What is the common denominator of t and -8/2937?
11748
Let t = 154/3337 + -285325/3073377. Calculate the common denominator of t and 55/3.
921
Let g = 20/839 - 84939/8390. Calculate the common denominator of g and 41/88.
440
Let o = 39015/14 + -2790. What is the common denominator of (-4116)/648*-3 - 13 and o?
126
Let v = 1869/29 - 60449/870. What is the common denominator of -149/150 and v?
150
Let m be (-7 - 173)*1/(-2). Let q = -4/13 - -844/39. Calculate the common denominator of q and (-2)/(-10) - (-272)/m.
9
What is the lowest common multiple of 45 and ((-312)/(-28))/(78/910)?
1170
Let r be -1 - 9/((-27)/(-78)). Let h = r - -509/18. Calculate the common denominator of 45/22 and h.
198
Let v = 32697 - 981053/30. What is the common denominator of (-12372)/(-9240) + 2/(-21) + 960/(-11088) and v?
210
Let n = -28423/23450 + -60/469. Find the common denominator of n and 169/270.
1350
Let k(n) = -n**3 + 2*n**2 - 30*n + 167. What is the lowest common multiple of k(4) and 1116?
5580
Let y be ((-1612)/(-60) + 4/30)*-1. Calculate the common denominator of (-2)/(-3)*y*(-4)/(-336) and 41/134.
938
Let p = 4 + -5. Let c be p/(-1 + (-3)/(-2)). What is the lowest common multiple of 16 and 16 - (-2 + 6 + c)?
112
Suppose -16 = -h + 2*z, 19*h - 15*h - 4*z = 68. Let c(m) = -m + 7. Let f be c(-5). Suppose 2*t + 0*t - f = 0. What is the lowest common multiple of h and t?
18
Suppose 2*k = n + 403, 126*k = 127*k + 5*n - 185. Calculate the lowest common multiple of k and 4.
200
Let v be ((-4)/12)/(6/(-90)). Suppose q = -4*i - 0*i + 51, -146 = -3*q - v*i. Let g = 53 - q. What is the least common multiple of 12 and g?
12
Suppose 7*d + 224783 = 8*d. Let a be (d/51)/((-10)/(-15)). Let q = a + -6612. What is the common denominator of -3/8 and q?
136
Suppose -y - 4*y + 120 = 0. Suppose -352*v = -358*v - i + 111, 3*v + 5*i = 69. Calculate the lowest common multiple of y and v.
72
Suppose 0 = -2*y - 3*y + 30. Calculate the smallest common multiple of (-10)/y*(-3 - 0) and (3 + -4)*-1*7.
35
Let n(a) = -a**3 + 17*a**2 + 57*a - 699. What is the smallest common multiple of n(18) and 313?
939
Let v = -111 - -16. Let a = -119 + 228. Let p = a + v. Calculate the smallest common multiple of p and 8.
56
Let r(n) be the third derivative of n**5/60 - n**4/24 - 11*n**3/6 + 35*n**2. What is the least common multiple of 26 and r(4)?
26
Suppose f - 5*c - 31 = -71, -38 = f - 4*c. What is the common denominator of 2 - (20/f + 341/48) and -93/8?
16
Let g(d) = d - 7. Let n be g(6). Suppose -44*c - 2*c + 828 = 0. Calculate the least common multiple of (n/2)/(3/(-120)) and c.
180
Let j be (-3 + -3 + 5)/(2/(-56)). Let i = j + -66. Let a = -28 - i. What is the lowest common multiple of a and 6?
30
Suppose 3*t - 5*k - 71 = 0, -2*t + 2*k - 1 = -43. Suppose 2*c = t - 3. Calculate the smallest common multiple of 22 and c/2*(16 - 12).
154
Suppose y - 25 - 75 = 2*z, 8 = -4*z. Calculate the lowest common multiple of y and 2856.
11424
Let l(g) = g**2 - 5*g - 20. Let m be l(9). Let y = 17 - m. What is the smallest common multiple of 1/3 + 1/((-3)/(-2)) and y?
1
Suppose 22 - 23 = -g, -5*o - 36255 = -5*g. Let x = -254270/79 - -11587365/1106. Let h = o + x. Calculate the common denominator of 29/22 and h.
154
Let f(v) be the third derivative of -17*v**4/24 - 23*v**3 + 2*v**2 - 7*v. Calculate the lowest common multiple of 28 and f(-10).
224
Let f = -4621/234 + 625/39. Let c = 1/34229 - -2806745/1129557. Calculate the common denominator of c and f.
198
Let n(i) = -3*i**2 + 24*i - 3. Let r be n(5). Calculate the lowest common multiple of 12 and r/(-10)*-3 + (-51)/85.
12
Suppose 100*a + 299 = 1499. Suppose -4*f = -2*b + 48, -3*b - 2*f = -b - 66. Calculate the lowest common multiple of b and a.
60
Let b be ((-1)/15)/(0 - 84/(-11007)). Let a = b + -18/35. What is the common denominator of a and -14/87?
348
Let p(f) = -71*f**2 + 2*f + 31. Let m be p(-7). Calculate the smallest common multiple of (m/(-27))/1 - (-10)/(-45) and 12.
384
Suppose 0 = 11*j + 443 - 1587. Calculate the smallest common multiple of 360 and j.
4680
Let j = 59239/226860 + -7/1194. What is the common denominator of j and -49/760?
760
Let g = 7179 + -7173. What is the least common multiple of 1264 and g?
3792
Let p 