 multiple of 333 and j.
7326
Let a(c) = 43*c**2 - 5*c + 4. Suppose -10*j - 3*f = -6*j + 2, 4*f + 4 = -4*j. What is the smallest common multiple of 14 and a(j)?
42
Let z = -5997/2 + 2756. Let f = 223 + z. Let c = 91/296 + -20993/888. What is the common denominator of f and c?
6
Let w = 28386 - 27038. Calculate the smallest common multiple of 20 and w.
6740
Let o = -136367/220860 + -6/2045. Calculate the common denominator of o and -10/49.
5292
Let w(m) = -3*m**2 - 5*m + 77. Suppose -24 = 3*i + i. Calculate the smallest common multiple of w(-5) and ((-27)/6)/(i/16).
108
Let v = 4 + -2. Suppose -8*t + 6*t + 90 = 0. Suppose v*p + p = t. Calculate the smallest common multiple of 27 and p.
135
Let g = 5553 + -5241. What is the least common multiple of g and 80?
3120
Suppose -23*w - 98 = -1455. Suppose -w*b + 62*b = -5*c + 43, c - 13 = -b. Let v = 21 - 14. Calculate the lowest common multiple of v and b.
77
Let a(z) = 73*z + 5562. Calculate the least common multiple of a(-76) and 168.
168
Let m = -6115/2 + 49013/16. What is the common denominator of m and (-952)/(-24)*3/20?
80
Let c(b) = -b**3 + 9*b**2 - 3*b + 3. Suppose 8*m - 12*m = -12. What is the lowest common multiple of 6 and c(m)?
48
Suppose 0 = -5*x + 4*s + 208 + 248, -3*x + 268 = -s. Let f(l) = -2*l**2 - 24*l - 51. Calculate the smallest common multiple of f(-9) and x.
264
Suppose -82 - 60 = -h. Calculate the common denominator of (20/30)/(14/(-93)) and (24/(-224))/((-3)/h).
14
Let y(v) = -2*v**3 - 23*v**2 + 12*v + 4. What is the lowest common multiple of y(-12) and ((-350)/80 - -4) + (-1398)/(-16)?
348
Let x = 1268 - 8892/7. Let o be (-7576)/7 - 0/(-4). Let u = 1085 + o. Calculate the common denominator of u and x.
7
Suppose -62008 + 98426 = 98*r - 118226. Calculate the smallest common multiple of 3 and r.
1578
Let m be 47 - (-2 - -1)/(2/4). Suppose m*h = 44*h. Suppose -6*t + 27 + 45 = h. Calculate the smallest common multiple of 24 and t.
24
Suppose -110*n + 361383 = -581537. Calculate the smallest common multiple of 1 and n.
8572
Let h be 6/(-84)*(-52485)/18. Let k = h - 1448/7. What is the common denominator of k and -101/14?
84
Let u be (-11993)/3*18/(-24). Let z = -4531 + 1514. Let d = u + z. What is the common denominator of -21/10 and d?
20
Suppose -4*u = -2*y + 48, -3*y + u = -17 - 35. Suppose 442 = 2*q - 826. Calculate the smallest common multiple of q and y.
5072
Let o(s) = s**3 - 5*s**2 + 6*s - 3. Let r be o(4). Calculate the common denominator of ((-25848)/(-464))/(-9) + 6 and 3 - r/30*2.
174
Suppose 6*n - 168 = 2*n. Calculate the lowest common multiple of n/(-4)*2/(-3) and (-10)/6*204/(-20).
119
Let v(f) = -f**2 - 25*f - 85. Let s be v(-21). What is the common denominator of (2284/24 + s)*3/50 and -43/20?
20
Suppose 550*s = 590*s - 5400. What is the least common multiple of s and (-670)/(-25) + 1/5?
135
Calculate the common denominator of 4 + (-4 - -2) - (70532/(-5112))/(-7) and 49/9.
1278
Suppose 1 + 89 = 5*c - 3*k, -4*k = 2*c - 62. Let w(j) = 7*j + 3. Calculate the lowest common multiple of w(3) and c.
168
Let p(k) = -2*k**3 - 4*k**2 - 2*k + 2. Suppose 0 = 791*h - 1166*h + 1500. Calculate the lowest common multiple of h and p(-2).
12
Find the common denominator of 7/1922 and (308/(-2079))/(6/63).
17298
Suppose 2*b - 310 = -j + 2*j, 2*j = 0. Let q(s) = 3*s + b - 141 + 4*s - 5*s. Calculate the smallest common multiple of q(0) and 36.
252
Let i(m) = -m**3 + 13*m**2 - 24*m + 16. Let u be i(11). Calculate the least common multiple of 0 + u/6 + 9 and 8.
8
Let v = 467 + -452. Find the common denominator of 13/16 and v/(-66)*(-83)/5.
176
Let w = -8141 - -97711/12. Calculate the common denominator of 35/142 and w.
852
What is the common denominator of ((-18)/15)/((-608)/5890) and 73/18?
72
Suppose -s + w + 8 = -24, 0 = 5*s + 3*w - 120. Suppose 0 = -22*q + 21*q - s. Find the common denominator of q and 22/(-5)*(-10)/18.
9
What is the lowest common multiple of ((-50)/4)/((-545)/872) and 1390?
2780
Suppose 6*v + 4*v = 180. Calculate the common denominator of 5384/(-2016) + (-4)/v and -61/16.
112
Suppose 26521 + 158141 = 244*h - 533918. Calculate the smallest common multiple of h and 1085.
20615
Let z = -6383 + 6399. Calculate the least common multiple of 1920 and z.
1920
Suppose 0 = 20*p - 58 - 55 - 7. What is the smallest common multiple of p and 172?
516
Let f = -38 + 16. Let y = f + 27. Suppose -y*q = -12*q + 70. What is the least common multiple of q and 2?
10
Suppose -148 = -16*i + 76. Suppose -m = 3*m - 616. Calculate the smallest common multiple of i and m.
154
Let d be (-27)/63 + (-24)/(-7). Suppose -15 = 5*l - 5*b, -2*b = 5*l - d*b + 11. What is the least common multiple of 54 and ((-2)/l)/(2/16)?
216
Let n = 2039 - 18307/9. Suppose -j - 12683 = 4003. Let a = j + 584056/35. Calculate the common denominator of a and n.
315
Let s = 855/88 - 29415/2552. Let f = -5160 - -195999/38. Let c = f - 341/152. What is the common denominator of s and c?
232
Let x = 186515431/624 + -298903. Find the common denominator of -71/208 and x.
624
Suppose 0*v + 1050 = 21*v. What is the lowest common multiple of v and 0 + -2 - (-50 + -2)?
50
Suppose h + 5*g + 9 = 2*h, 5*g = 2*h - 8. Let m be 1/(h*(-3 - -4)). Calculate the common denominator of ((-3)/48)/(m/18) and 40/9.
72
Let k = -125 - -180. Let h = k + -47. Suppose 0 = -3*s + 172 - 166. Calculate the smallest common multiple of h and s.
8
Let n = -338158 - -338187. Let c = -794/217 - -177521/45136. Find the common denominator of c and n.
208
Suppose 12*b + 8*b - 140 = 0. Suppose b*n - 11*n = -5*g - 40, 0 = 3*n - g - 30. What is the lowest common multiple of 10 and n?
10
Let u(p) = -8 + 12 + 5 - 9*p + 0. Let j be u(-4). Suppose -a + 5*a = 3*g + j, 4*a - 33 = -g. Calculate the smallest common multiple of 3 and a.
9
Suppose 4*v - 173 = -53. Calculate the lowest common multiple of v and (205/20 + -10)/((-5)/(-660)).
330
Let z = -76 + 86. Suppose z*x + 857 = 87. Let r = 95 + x. Calculate the smallest common multiple of 69 and r.
414
Suppose -3*m + 224 = -3*i + 242, 4*m - 18 = -3*i. Calculate the smallest common multiple of i and 28428.
28428
Suppose -3*n - 3 = -3. Let c be 14/(n - 165/(-2469)). Let h = -2049/10 + c. Find the common denominator of 11/14 and h.
154
Suppose -79*l + 45*l = -476. What is the lowest common multiple of l and 22?
154
Let j = -3454 - -27655/8. Let b = 1447/37 + -112640/111. Let x = 967 + b. Find the common denominator of j and x.
24
Let r = 676983/40 - 16927. What is the common denominator of 181/1020 and r?
2040
Let f be 3/9 - (-80)/12. Suppose -f*w = 1 + 27. Find the common denominator of (115/(-15))/(w/(-6)) and -81/20.
20
Let a = 4019103/36129730 + -10/39703. Find the common denominator of 41/520 and a.
3640
What is the least common multiple of (5115/99)/(1/6) and 186?
930
Let q = -1/550 + 2831/44550. What is the common denominator of ((-3355)/(-36234))/(10/166) and q?
162
Let y = 86408542/2297 - 37618. Let b = y - -245827/27564. What is the common denominator of b and 167/90?
180
Let x(t) = -t**3 + 13*t**2 + 9*t - 54. Calculate the least common multiple of 33 and x(12).
198
What is the common denominator of 30/15255*(-2 - -28) and -67/18?
2034
Let z(r) = 2*r**2 + 9*r - 14. Suppose -12*q + 250 = 13*q. What is the least common multiple of q and z(-6)?
20
Suppose -5*q = -5*h + 45, 0 = 4*h + 4*q + q. Let r(b) = -11*b**2 + 55*b + 11. What is the smallest common multiple of 221 and r(h)?
2431
Let d be 3 + -3 + (-157328)/168. Let i = d + 936. What is the common denominator of 151/24 and i?
168
Suppose -v + 28 = 5*d - 63, v - 1 = 0. Suppose 2*f = 70 - 4. What is the lowest common multiple of d and f?
198
Let o = -6804/295 + 4289879/187620. What is the common denominator of o and -47/93?
19716
Let p = 184615/1404 + -1710/13. Let q = -12819/4 + 3194. What is the common denominator of p and q?
108
Let z = 45169/5164146 + -83/4566. What is the common denominator of -4/81 and z?
30537
Let d = -6 - 4. Let m = -128900 + 128911. What is the lowest common multiple of (2 + d/(-4))*2 and m?
99
Let s = 9991111/69135981 - -1/1166852. Find the common denominator of 83/12 and s.
948
Let c = -110 - -126. Let s(y) = -69*y**2 - 23*y + 30. Let v be s(c). Let j = -216173/12 - v. Find the common denominator of -29/14 and j.
84
Let k = 155 + -156. 