489.
5379
Suppose 20*o - 17*o - 228 = 0. Let a = 79 - o. Suppose 6*s + a*s - 1278 = 0. What is the lowest common multiple of 8 and s?
568
Let r(i) = 4325*i - 30255. Let b = 252 - 150. Calculate the lowest common multiple of r(7) and b.
1020
Let u(x) = x**2 - 14*x + 24. Let w(l) = 2*l**3 + 11*l**2 + 2*l - 15. Let r be w(-5). Calculate the smallest common multiple of 132 and u(r).
264
Let v = 278 - 251. Suppose 0*g - 4*g = 8, -5*n - 4*g = -v. What is the least common multiple of n and 35?
35
Find the common denominator of (1428/(-56) + 13)/(-11 - 0) and 83/2674.
29414
Suppose -4309 + 12514 = 40*h - 64595. What is the lowest common multiple of h and 312?
10920
Let g = -10623/8 - -61035/8. Let q = -1209913/192 + g. What is the common denominator of -89/2 and q?
192
Suppose 2*a = 3*a - 4. Calculate the least common multiple of 2 + (-573)/(-12) + (-161)/(-644) and a.
100
Let g be 10/20*6*7. Calculate the common denominator of 49/4 and -3 + 177/g + -5.
28
What is the common denominator of (-23)/621*2616/1312 and 23/984?
2952
Suppose -5*i + 352 - 57 = 0. Let z(h) = -5*h - 38. Let u be z(-9). Let v = i - u. What is the smallest common multiple of 20 and v?
260
Suppose 0 = -2*g + 3*g, -3*d - 432 = 2*g. Calculate the common denominator of 119/30 and (-2*(-44)/d)/(16/(-66)).
240
Let w = -8 - -74. Suppose w*u = 63*u + 276. Let l = u + -86. What is the least common multiple of 58 and l?
174
Suppose -3*d + 838 = 2*g, 298*d = 293*d - 2*g + 1398. Calculate the smallest common multiple of d and 1050.
4200
Calculate the least common multiple of (1 + (5 - 0))*14/4 and -5 - (-36 - (-4)/(-1)).
105
Find the common denominator of -17/3 and (71/388)/((-7)/(-56)*20).
2910
Let g = -30207/8 + 3768. Calculate the common denominator of g and (-568)/6*131/(-3144).
72
Let o(f) be the third derivative of -1/120*f**6 - 1/2*f**3 + 0*f + 2/15*f**5 + 10*f**2 - 5/12*f**4 + 0. Calculate the lowest common multiple of o(6) and 6.
18
Let y = -1/143 - 7285/1144. What is the common denominator of (-1)/4 - 4644/1584 and y?
88
Let y(r) = -r**3 + 15*r**2 - 35*r - 9. Suppose -96 = -2*b - 8. Calculate the smallest common multiple of y(12) and ((-2)/3)/(b/(-198)).
3
Let x(l) = -22*l**2 + 34*l + 60. Let q be x(-29). Let b = -699503/36 - q. Calculate the common denominator of b and ((-2)/8)/1*101.
36
Let d(c) = -11*c**2 - 3*c + 3. Let o be d(2). Let n = 42 + o. Find the common denominator of 53*n/30*-1 and 109/10.
30
Let j be 18/(-81) - 20/(-9). Suppose -3*y = -17 + 2. Suppose 2*s + j*s = -y*l + 84, 20 = 2*l + 5*s. What is the lowest common multiple of 20 and l?
20
Let o = -375/5297 - -6126003/84736109. Let i = o - -985934/3919265. Find the common denominator of 167/42 and i.
1470
Let s = -24311/4 + 1750543/288. Calculate the common denominator of 103/44 and s.
3168
Let w be (15/(-2))/((-4083)/1362 + 3). Find the common denominator of -76/33 and w/2142 - (-20)/70.
1122
Suppose 5*b - 3*z = 57, 3*b + 3*z = -z + 11. Suppose b*d - 8*d = 4. Let l(m) = -m**2 + 17*m - 22. Calculate the least common multiple of d and l(9).
100
Let k(i) = -19*i**2 - 112*i + 5. Let w be (-3)/(9/15)*1. What is the least common multiple of 90 and k(w)?
90
Suppose 5*k - 1886 = -k + z, -5*k - 4*z = -1591. Calculate the lowest common multiple of k and 84.
1260
Let g = 2422766609869759/92580540 + -7458246536/285. Let t = g - 3/12494. Find the common denominator of -10 and t.
156
Let l = -75078318065/72 + 1042735219. Let t = l + 19199. Calculate the common denominator of (-779)/(-190) + (-1 - 0) + 5 and t.
360
Let a(v) = 26*v. Let f be a(4). Let n = -46 + f. Calculate the least common multiple of 2 and n.
58
Calculate the least common multiple of 9110 and (21432/56)/19 - (-1)/(-7).
18220
Let z(l) = 2*l**2 - l. Suppose 3*h + h - 3*c = 5, 0 = 2*h + 5*c - 9. Calculate the smallest common multiple of z(h) and ((-4)/3)/((-10)/315).
42
Suppose 0 = -3*w + 10 + 50. Suppose w = -3*l + 7*l. Suppose 5*u + 3 = 5*h - 7, 4*u = h - l. Calculate the smallest common multiple of h and 8.
8
Let c = 211103 + -238124113/1128. Calculate the common denominator of c and -41/1692.
3384
Suppose -19*m + 667 = -6*m - 1088. What is the smallest common multiple of 297 and m?
1485
Let b be (129262/(-245))/(732/2). Let y = b - 30/61. What is the common denominator of y and 67/3?
15
What is the common denominator of (-1827)/2842*22/4 and 34/45?
1260
Calculate the common denominator of (7/(-3))/(132/36) and (-4)/(-42) - (4/22 - 729651/(-1873872)).
2288
Suppose 256*t = 2172174 + 1773042. What is the smallest common multiple of 30 and t?
154110
Let a be (-60)/200 + (-173)/(-10). Let b = 2974 - 23695/8. What is the common denominator of 206/18*a/(-102) and b?
216
Let k = 48 - 46. Suppose -p - 211 - k = 3*r, -r + p - 75 = 0. What is the common denominator of (-4)/6 - (-284)/r and 37/6?
18
Suppose -4*r + 4*u = -2168, -5*r - 2*u + 2755 = 2*u. Calculate the least common multiple of 1 and r.
547
Let u = 7/27499 - -2501065/5279808. Find the common denominator of u and -173/240.
960
Let o be 9950/32 + (34 - 28). Let t = o + -317. Let d = -47351/12 + 3949. Find the common denominator of t and d.
48
Let w be 9/(-7) - (90/(-70) - -1). What is the smallest common multiple of w*(4 + 68/(-4)) and 3?
39
Suppose 165 = -5*a + 5*v, 3*a + 2*v = -2*v - 92. Let q = a + 34. Suppose -c + q*c - 12 = 2*j, 3*j = 2*c - 19. Calculate the least common multiple of 20 and c.
20
Suppose 6 = n - 5*n + c, -3*c = -2*n - 8. Calculate the least common multiple of (-1)/2*2*n and (0 + -1)*1 + 7.
6
Let a = -51215/1862 + 510/19. Find the common denominator of 51/28 and a.
196
Suppose -2 = -3*z - 5. Let q be 3 - (-3)/z - 6/2. Find the common denominator of (-652)/24 + 2 - (1 + q) and -41/3.
6
Let f(s) = -74*s**2 + 4*s + 2. Let q be f(2). Let j = 328 + q. What is the least common multiple of j and 3?
42
Let y = 2/766893 + 30931195/59817654. Find the common denominator of 65/756 and y.
9828
Let n = 79681 - 54581449/685. What is the common denominator of 6/137 and n?
685
Suppose -15*b + 5*h + 61 = -14*b, h = 2*b - 113. What is the smallest common multiple of 106 and b?
2968
Let u = 823 + -845. What is the least common multiple of 1 - 3 - (-5 - -1) and 511/219 + u/(-6)?
6
Suppose 0 = k - 2, 0*v - 4*v + 2*k + 44 = 0. Let u(o) = o**3 + 7*o**2 - 7*o. Let w be u(0). Calculate the common denominator of -117/20 and 48 + w + 0 + 6/v.
20
Let s(p) = -99*p + 2378. Let w be s(24). Let y = 8 - 5. Suppose y*d + 16 = 2*c, 24 = c + w*c + 3*d. Calculate the lowest common multiple of 5 and c.
40
What is the common denominator of (20/300)/((-42)/(-50)) and 5/567?
567
Suppose 0 = -3*m - 4*m - 28. Let q(b) = -8*b + 2. Let v be q(m). Let j = v - 22. Calculate the least common multiple of j and 8.
24
Suppose 27 = 3*a + 3*o, -6 - 5 = -a + o. Let s(d) = d**2 + 12*d + 139. What is the smallest common multiple of a and s(-11)?
640
Let h = -174 - -3234. Calculate the lowest common multiple of 24 and h.
6120
Let c = 329317 + -2780423425/8443. Let h = c + 159685/1030046. What is the common denominator of h and 61/12?
732
Let h be 127452/13 - ((-8)/(-1))/2. Calculate the common denominator of ((-2)/55)/(10/h*-32) and 0 - (-1 - (-2)/(-16)).
88
What is the lowest common multiple of 6/(-20) + 473165/550 and 16?
3440
Let h = -3608 + 198509/55. Let q = 669819/40 + -16745. Find the common denominator of h and q.
440
Suppose 485*d - 190*d = 224599 + 1063371. Calculate the least common multiple of d and 118.
4366
Let c be 8/(-2) + (-21215015876101290)/2611056848104400. Let x = -1644/2261046803 + c. Let b = -1/14435 - x. What is the common denominator of 33/8 and b?
8
Let j be (-192)/(-6) - (0 - -1)*-4. What is the least common multiple of 66 and j*15/(-6)*3/(-5)?
594
What is the common denominator of -47/1092 and ((-18)/45)/(1144/(-425))?
12012
Suppose -7*o + 0*o = -21. Calculate the common denominator of o - -273*28/(-2208) and 1/16.
368
Let b(x) = -6*x**3 - 4*x**2 - 5*x + 14. Calculate the smallest common multiple of b(-6) and 286.
13156
Let s be ((-35)/(-7))/(-5)*0. Calculate the common denominator of -15 + 15 + ((-99)/4 - s) and 89/66.
132
What is the least common multiple of 3337/142*24/2 and 940?
2820
Let c(r) = r**2 - 185*r - 5564. What is the least common multiple of 240 and c(-28)?
1200
What is the common denominator of -31/190 and