888
Let o = 1975 + -1483. Calculate the least common multiple of o and 36.
1476
Suppose 61157 = w + 5*x, -3*w + 183458 = -25*x + 27*x. Let h = w - 9295003/152. Find the common denominator of 43/10 and h.
760
What is the common denominator of (-2 - -12)/(-90) + 1/(-198) and 93/110?
990
Let n(b) be the first derivative of 21*b**3 - 29*b**2/2 - 29*b + 181. What is the least common multiple of n(-1) and 77?
693
Let i = 186236/65 + -2865. What is the common denominator of 30/949 and i?
4745
What is the lowest common multiple of 90 and (5/3)/((-427)/(-887733))?
6930
Let g = 2 - -27. Let w = -2105/124 + 45/62. Find the common denominator of w and -3 + (-1 - g/6).
12
Let z(n) = 6*n + 48. Let h = -11 - -7. Calculate the lowest common multiple of 119/5 - 1/(-5) and z(h).
24
Suppose 3*f - 4*g + 1141 = 8*f, 0 = -2*f - 4*g + 466. What is the smallest common multiple of f and 360?
1800
Let l be 4/(-14) - 61/7. Let b(r) = -r**2 - 11*r - 2. Let m = 17531 + -17511. What is the least common multiple of m and b(l)?
80
Let f be 62/6 - 2/6. Suppose 2*p + f = 18. Suppose 5*v - 27 = -p*a, 3*a - 3*v = 6 + 21. What is the smallest common multiple of a and 4?
8
Let j be (-4)/(-2)*82/4. Let x = -2796 + 2760. Let k = x + j. Calculate the smallest common multiple of 1 and k.
5
Let i = -28979 + 144902/5. Find the common denominator of i and 119/30.
30
Let u be (-1308)/10*80/32. Let l = -306 - u. Calculate the lowest common multiple of l and 3.
21
Calculate the common denominator of 531/(-588)*(-32)/(-24) and -103/44.
2156
Let t(m) = 2*m + 11*m**2 + 7*m**2 + 55*m + 9 - 15*m**2. What is the lowest common multiple of 60 and t(-19)?
180
Find the common denominator of (283/(-4) + -3)*(-2 - (-46341)/23175) and 91/24.
12360
Let x = 2/205 + -271/41. Let v be (-3)/(12/8) - (-7 - -7). Find the common denominator of 396/204*(v + 1) and x.
85
Let b be 4/(-26) + (68472/(-416) - 5). Let f = b + 4847/28. Find the common denominator of 0 + (145/(-12))/(-5) and f.
84
Let j(q) = 2655*q**3 - 5*q**2 + 20*q - 15. What is the lowest common multiple of j(1) and 885?
2655
Suppose 2*i - 3*i = -5*l + 30, i + 4*l + 75 = 0. Let q = -1 + 4. Calculate the lowest common multiple of 7 - 2 - 11/(i/140) and q.
33
Let i be (-6 - -8)/(1 + 2/(-4)). What is the common denominator of i/(-1488)*1150/(-5) and -23/2?
186
Suppose 3*m + 147 = 135. Calculate the common denominator of m*(-76)/(-168)*(-3)/(-4) and -29/28.
28
Let i = -4/32539 - -3156483/1626950. Let p = 7577123/120 - 63142. Calculate the common denominator of i and p.
600
Let s = -3 + 0. Let n = -15 + 16. What is the least common multiple of n and -1*(s + 1 + 1)?
1
Suppose 2*g - 237 = -11*g - 3. Calculate the least common multiple of 240 and g.
720
Suppose -5*t = -b - 90, -t + 2 = -5*b - 16. Suppose -165 = -o - 3*d, 5*d - 302 - 197 = -3*o. Calculate the least common multiple of o and t.
504
Let a be (-8655250)/2475*3/(-84)*-6. Let r = a + 5256/7. Find the common denominator of 70/69 and r.
759
Let q = 256 + -264. Let f(h) = h**3 + 9*h**2 + 10*h + 20. What is the lowest common multiple of f(q) and 32?
32
Let b = 0 - -3. Calculate the common denominator of (-42)/(11 + 0*(-3)/12) and (-206)/b*5/(-20).
66
Let r be (-7 - -16) + 2232249/(-105672). Let w = -3/4403 + r. Let u = 1218161/36 + -33835. What is the common denominator of w and u?
72
Let r = 75157/9786 + -26/699. Let k be 272512/(-44) + (3 - 7/2). Let u = k - -6192. Calculate the common denominator of u and r.
154
Let a(u) = 36*u + 292. Let o(p) = -10*p + 52. Let y be o(6). What is the lowest common multiple of (-3)/(-1)*(-24)/(-9) and a(y)?
8
Suppose -272 = -10*h + 5*h + 3*h. What is the lowest common multiple of h and 102?
408
Suppose -30*p - 104 = -43*p. Let z = -301 + 433. Calculate the least common multiple of z and p.
264
Let y = 94 - -52. What is the common denominator of 18/y - 28/84 and -71/9?
657
Let x be 3/(-9) - (-5468)/24. Let v = x - 263. Calculate the common denominator of 45/22 and v.
22
Suppose -159 + 21 = -6*h. Suppose 22*l - h*l = -3. Calculate the least common multiple of 7 and l.
21
Suppose -9*o - 30 + 174 = 0. Let l(q) = -10*q - o - 2*q**2 + q + 4*q**2 - 3*q**2. What is the smallest common multiple of 20 and l(-5)?
20
Let g(z) = 2*z**3 - 5*z**2 - 18*z - 1. Let k be g(-8). Let h = -843 - k. Calculate the common denominator of -58/3 and h/180 + 6/(-12).
45
Let f = -22 + 62. What is the lowest common multiple of f and (0 + -11)/(-5 + 3/(-6) - -5)?
440
Suppose 13*f = -10*f + 2645. Suppose -16*x = -173 - f. Calculate the lowest common multiple of x and 198.
198
Let z = 17976 - 17946. Calculate the least common multiple of 2430 and z.
2430
What is the common denominator of -79/12642 and (-20)/32*(-474)/(-30)?
50568
Suppose 0 = 254*m - 140*m - 662112. What is the lowest common multiple of 33 and m?
5808
Let k = -812621791/137051780 + 10106/108085. Let b = -9/634 + k. Find the common denominator of b and -109/36.
180
Let r = 17 + 7. What is the common denominator of (-3960)/(-1440)*273/99 and 19/r - 0 - 0?
24
Let k = -5833/16884 + 23/126. Find the common denominator of k and 39/10.
4020
Suppose 0 = 110*r + 92 - 364 - 58. Let v(p) = 5*p**2 + 2*p - 2. Let d(t) = -t - 4. Let f be d(-2). Calculate the smallest common multiple of r and v(f).
42
What is the smallest common multiple of (-47988)/(-992) + 3/(-8) and 16?
48
Let x(n) = -n**2 - 14*n + 11257. Calculate the least common multiple of x(99) and 180.
1260
Calculate the common denominator of (924/(-6930))/(8/374) and 77/255.
510
Suppose 4*t - 2*t - 2223 = -5*g, 5*g + 3*t - 2227 = 0. Let f = g + -11087/25. Find the common denominator of -53/4 and f.
100
Let j(w) = -38*w**2 + 4*w - 1. Let t be j(1). Let b = t - -129. Let p = -2 + 8. Calculate the smallest common multiple of p and b.
282
Let y = 315006/1630453 - 6/8719. Calculate the common denominator of 38/51 and y.
561
Let c = 31039 + -28295. What is the lowest common multiple of c and 3528?
24696
Let a(z) = -31*z - 5. Let m(u) = -u**3 + 129*u**2 + 669*u + 4. What is the smallest common multiple of a(-5) and m(-5)?
450
Let g be (-1848)/(-72) - 4/6. Suppose 6*x + g = 115. What is the lowest common multiple of 35 and x?
105
Let v(m) = -2*m**3 + 4*m. Let u be v(-2). Suppose -17 + 9 = -u*h. What is the least common multiple of h and (-4)/(-5)*(22 - 2)?
16
Let s = 1473499833/436108 + 18/109027. Let p = -3362 + s. Find the common denominator of -89/20 and p.
20
Suppose -12*w + 16 = -20. Suppose -y - w = -7. Calculate the smallest common multiple of 338/y + 2 + 3/(-6) and 16.
688
Let t = -82/11 - -848/99. Find the common denominator of t and (-3920)/(-84) + -25 - -1.
9
Let f be (-1 + -6 + 16)*1. Calculate the common denominator of (3 - 30/f)/(48/(-174)) and (-854)/60 - (-4)/10.
24
Suppose 5*l + 2*a = 144, a = -l + 2*l - 33. What is the common denominator of 77/(-15) - (-10)/l and 79/45?
45
Let v = -174 - -177. Let g(s) be the third derivative of s**5/30 - s**4/4 + 5*s**3/3 + 2*s**2. What is the lowest common multiple of 6 and g(v)?
30
Suppose 58*k - 8750 = -67*k. Calculate the lowest common multiple of k and 945.
1890
Calculate the smallest common multiple of 760 and 7 + (8/3 - 8/(-24)*2251).
760
Suppose 5*f = -2*b + 150, 0 = -5*b + f + 182 + 220. Suppose -3*g = 2*p - 222, 0 = 5*g - 4*p + p - 351. Calculate the smallest common multiple of b and g.
720
Let a = 57 + -37. Let n(h) = -28*h - 30. Let f be n(-3). Let g = f - 44. Calculate the least common multiple of g and a.
20
Suppose o = -4*w + 1524, -4*w + 5*o = -862 - 638. Calculate the least common multiple of w and 266.
2660
Let j(d) = d**3 - 7*d**2 - 17*d - 9. Let a be j(9). Suppose a = 2*g + 22 + 56. What is the common denominator of 45/(-15)*(-1 - g/14) and 61/20?
140
Suppose -8*a + 16*a + 192 = 0. Let x be (306/8)/(6/a). Calculate the common denominator of -115/12 and (-4 - x/18)*26/12.
12
Find the common denominator of -139/900 and (-2 - 762/(-200)) + 84/(-112).
900
Find the common denominator of 53/792 and (-13)/((-81510)/(-26581)) + 4.
3960
Let q = -167/74 - -641/407. What is the common denominator of 75/1342 and q?
1342
Let t(p) = 10*p - 18. Let s(u) = -u**2 - u + 45. Let l be s(6). Let c(w) = w**3 - 14*w**2 + 2*w - 21. Calculate the smallest common multiple of t(l) and c(14).
84
Suppose 3*m - 231 = -4*m. Suppose 15*d - m = 14*d. Ca