?
2189
Let k(a) = 69*a + 529. Calculate the least common multiple of 90 and k(-7).
2070
Let j = -72/5 + 344/35. Find the common denominator of (-205)/123*18/(-8) and j.
28
Suppose -4*l + 7569 = -2*z + 52509, -l + z = 11234. Let a be -1 - (l/(-5))/(-4). Let i = a + -558. Calculate the common denominator of i and -57/4.
20
Suppose -150*g = -63*g - 74*g - 1248. Let q = -6 + 8. What is the least common multiple of g and q?
96
Suppose -3*r = -2*s - 201, -4*r + 273 = -0*r - s. What is the smallest common multiple of 6 and r?
138
Suppose 23*q + 7*q = 7200. What is the smallest common multiple of q and 24?
240
Let v(w) = 9*w**2 - 9*w + 9. Calculate the lowest common multiple of v(3) and 99.
693
Let c = -7844 - -62845/8. Find the common denominator of c and -3 + 2/((-160)/(-555)).
16
Let g = -2897141/631070 + -2/28685. Let c = -5/131372 + 835887203/262744. Let r = -3177 + c. What is the common denominator of r and g?
88
Let k(j) = -19*j + 2. Suppose 30 = -2*n + 92. Suppose 13 = y + t, -y = y + t - n. What is the lowest common multiple of k(-4) and y?
234
Let m = -63 - -319. Let y = m - 2023/8. What is the common denominator of y and 73/8?
8
Calculate the common denominator of ((-228)/1890)/(-4 - 123/(-30)) and -59/12.
252
Suppose -5*k - 10 = 4*c, -3*c + 2*c = -k + 7. Suppose 0 = -k*p + 5*p - 48. Calculate the lowest common multiple of p and 2.
16
Suppose -a = 4*a - 100. Calculate the lowest common multiple of a and ((-2)/(-8))/(58/928).
20
Let j = -325 + 351. What is the least common multiple of 8 and j?
104
Find the common denominator of (1/(-2))/(3/(-99)*-219) and -5/16.
1168
Let j = -119699/20 - -5982. What is the common denominator of -85/36 and j?
180
Let u = -1225 + 73483/60. Calculate the common denominator of 139/132 and u.
660
Calculate the common denominator of 61/22 and 60/22*15/(-12).
22
Let o = 329 - 1331/4. Calculate the common denominator of -19/652 and o.
652
Suppose 3*n = 8*n + 85. Let w = -16 - n. Calculate the smallest common multiple of w*(-8)/(0 + -2) and 20.
20
Let j = 1286 + -8971/7. Let r = -5528640757/30 - -184268814. Let i = r + 19217. Calculate the common denominator of i and j.
210
Let v = -14943 - -762040/51. Calculate the common denominator of v and -42/5.
255
Let y = 40 + -26. Let q = -16 + 40. Calculate the least common multiple of q and y.
168
Let f = -84 + 479. What is the common denominator of -22/57 and 4/(-30)*(-3)/(-30)*f?
285
Let j be (8/((-32)/(-180)))/1. Suppose -5*c - j = -10*c. Calculate the lowest common multiple of 11 and c.
99
Suppose 2*k - 32 = z, 8*z - 3*z - 64 = -4*k. Find the common denominator of (-214)/12 - k/(-24) and ((-122)/10 - -4) + -3.
30
Let f(p) = p - 2. Let y be f(5). Let g be ((-4)/y)/(14/21). What is the least common multiple of g + (80/4 - 2) and 20?
80
Let j = -493642/830415 - -3/12035. What is the common denominator of -22/9 and j?
207
Suppose -3*s + 9 = -4*v, 2*v + 4 = -s - 3. What is the common denominator of -137/6 and v/4*(4 + (-42)/(-9))?
6
Let w = 102 + -94. What is the lowest common multiple of w and 106?
424
Suppose 4*j - 84 = j. Suppose 3*n + j = 5*n. Calculate the smallest common multiple of n and 97/11 - -3 - 14/(-77).
84
Let k = -1674 + 12379. Let v = k + -214047/20. Calculate the common denominator of 17/20 and v.
20
Let p be (13/2)/((-2)/4). What is the common denominator of 15/p - 23/46 and 19/2?
26
Let v(o) = -4*o + 10. Let u be v(-10). Suppose 0*s - s + 10 = -g, -4*g - u = s. What is the least common multiple of 11 and ((-8)/g)/((-3)/(-36))?
88
Let i(t) = t**3 - 5*t**2 + 2. Let p be i(5). Suppose 2*w = 2*r - 0*r - 20, p*r = 3*w + 24. Calculate the least common multiple of r and 7.
42
Calculate the common denominator of ((-10842)/2080)/(45/(-20)) and 27/640.
1920
Let c be (-2 - (-1 - -1))/(10/15). What is the common denominator of -81/14 and c/((-48)/22)*(-2)/(-6)?
168
Let v(s) = -s**2 + 8*s - 3. Let f be v(7). Suppose f*x = 12, 3*d = 2*d - 2*x + 12. Calculate the least common multiple of 2 and d.
6
Let a(t) = t**3 - 2*t**2 + t - 4. Let r be a(3). Suppose -3*n + r = 2. Let s = -2 + 6. What is the least common multiple of s and n?
4
Let b = 1631 - 1613. What is the lowest common multiple of 56 and b?
504
Let h = 28/47 - 4571/1598. What is the common denominator of 25/119 and h?
238
Let l = -2517 - -332317/132. Let g = -22343/8 + 2800. Calculate the common denominator of g and l.
264
Find the common denominator of -503*(-2)/6804 - 772/2702 and -71/36.
972
Let w = -492655/153 + 3220. Calculate the common denominator of 99/68 and w.
612
Let o = 6 - 4. Let w be 16/o + -4 + -264. Let j = -465/2 - w. Find the common denominator of j and 31/3.
6
Suppose 2*m = 4*z + 12, -z = -2*m + m + 4. Let f = 19 - m. What is the least common multiple of f and 9?
153
Let z(i) = -16*i + 7. Let r be z(2). What is the common denominator of (-965)/r - 4/(-10) and 89/4?
4
Suppose -t - 40 = -39. Suppose 2*i - 3*f - 42 = -4*f, f = 0. What is the common denominator of ((-280)/i)/(t + -5) and -13/3?
9
Find the common denominator of (-1794)/(-504) + 3/(-9)*2 and 37/8.
56
Find the common denominator of ((-10)/(-63))/(12/(-78)) and -115/154.
1386
Let b(a) = 3*a**2 - 17*a + 1. Let x be b(5). Let q be 124/(-6) + (-2)/(-3). What is the common denominator of -51/5 and (-246)/q - (x + 10)?
10
Suppose -2*i = -3 + 5. Let j = -4 - i. Let n(k) = -k**3 - k**2 + 5*k + 1. Calculate the lowest common multiple of 12 and n(j).
12
Calculate the smallest common multiple of 9 and (-5)/((-10)/1370 + 0).
6165
Let m = -3/3385 - -11533/27080. Calculate the common denominator of m and -61/76.
760
Let b = -124478 + 37965753/305. Find the common denominator of b and -143/6.
1830
What is the lowest common multiple of 1176/24 + -2 + -3 and 4?
44
Let q = -567 - -2010. What is the least common multiple of q and 27?
12987
Let o(g) = 604*g + 7. Let m be o(7). Let p be 105/66*(-1 - -2661). Let d = p - m. Find the common denominator of 121/18 and d.
198
Suppose 19 = -f + 5*t, -5*f + 3*t = -2*f + 57. Let h = f - -37. Calculate the lowest common multiple of 10 and h.
90
Let j(o) = -o**3 - o**2 - o - 2. Let y be j(-2). Let i be y*(-2 - (-579)/291). Let d = 1625/582 - i. Find the common denominator of -33/4 and d.
12
Let s be -2 - (-3 - (-127 + 0)). Let k = 2945 - 11701/4. Calculate the common denominator of k and ((-6)/(-9))/(8/s).
4
Let t = 221791 - 1369931/6. Let l = 6553 + t. Calculate the common denominator of (26/64)/(((-63)/(-14))/9) and l.
48
Let v(r) = -r**3 + 19*r**2 - 18*r + 11. What is the least common multiple of v(18) and 4?
44
What is the lowest common multiple of 9 and 492*((-114)/18 + 7)?
2952
Let q = 510 + -400. What is the least common multiple of q and 110?
110
Let c be (-7179)/(-14) + 10/(-35). Let d = 5596/11 - c. Find the common denominator of d and 33/8.
88
Let j = -507 - -582. Calculate the lowest common multiple of 165 and j.
825
Let f be 471340/42*21/28. Let c = f + -8423. Find the common denominator of 5/(-4)*306/(-405) and c.
126
Let d be ((-3)/12*27355/10)/(-123). Let u = 8/123 + d. Calculate the common denominator of u and 53/38.
152
Suppose 2*a = -6, -2*y + a = y - 9. What is the smallest common multiple of 10 and ((-3)/(-6))/((y + -1)/24)?
60
Let v(c) = 10*c + 23. Let p be v(-5). Let f = p + 38. Calculate the least common multiple of f and 12.
132
Let g = -15/11 + -1007/44. Find the common denominator of -15*42*(-1)/220 and g.
44
Let p be 0 - (1/(-2) + (-45)/18). Suppose 5*y - r = p*r + 106, 4*r = -3*y + 38. Calculate the lowest common multiple of 10 and y.
90
Let j be (-102)/9*18/(-12). Suppose 2*z + 16 = -3*c + 55, c - j = -z. Calculate the smallest common multiple of z and 58.
348
Let b = 50563271/30414 - -2/15207. Let x = b - 1631. What is the common denominator of 45/14 and x?
14
Calculate the common denominator of ((-2)/16)/((-7112)/1424 - -5) and -151/24.
24
Let n = -4 + 36. Find the common denominator of -13/5 and (-10)/(-27)*n/(-10).
135
Calculate the common denominator of -43/259 and (-7029)/(-497)*(-4)/30.
1295
Let t(u) = 8*u - 62. Calculate the least common multiple of 150 and t(10).
450
Let n(i) = -i + 15. Suppose 5*o + 3*l - 24 = 31, 0 = 3*o - 4*l - 4. Calculate the smallest common multiple of 6 and n(o).
42
Let n be 98/2*(1 + 0). Calculate the common denominator of 1/(-2) + n/(-3) and 3 - 2