Suppose 0*s + s = 15. Suppose -4*a = -17 - s. Suppose a*w + 50 = 13*w. Calculate the lowest common multiple of w and 5.
10
Let p = -802 + 1045. What is the least common multiple of p and 216?
1944
Calculate the common denominator of 3*(6/(-8) - 733/(-540)) and 23/210.
630
Find the common denominator of (-478)/56 + (129/12 - 10) and -179/30.
210
Let y be (-1 - 0)*-1253*(-95)/225. Let l be (2/25)/((-1)/(-6520)). Let q = l + y. Find the common denominator of q and 34/7.
63
Let y = 5807/16 - 359. Let r = -7023/4 + 1781. What is the common denominator of y and r?
16
Let j = 14 + -19. Let o be 8/20*-1*j. Suppose -h + 2*v = -1, -5*h - 2*v + o + 27 = 0. Calculate the least common multiple of 14 and h.
70
Let p be (-10)/45 - (-30542)/3060. Let t = 117/10 - p. What is the common denominator of 40/9 and t?
153
Suppose -4*k = 5*u - 60, -7*k + 2*k = -25. Let w = 6 + -1. Suppose p + 0*n + 1 = w*n, -5*p - 5*n + 25 = 0. Calculate the least common multiple of u and p.
8
Suppose 0*a + 31 = -2*q + a, -a = 3*q + 44. Find the common denominator of (-110)/q - -2 - -2 and 694/40 - 2/(-5).
12
Let x = -30613/6288 + 22/393. Let q = 2333/880 - -167/55. Find the common denominator of x and q.
16
Suppose 0 = 4*t, -5*t = -8*j + 11*j - 42. Calculate the least common multiple of j and 17.
238
Let n be (-13)/(-26) + (-2618)/(-4). Calculate the common denominator of 28/9 and n/300 + (-2)/(-8).
90
What is the common denominator of (4/(-18))/((-4200)/1035 + 4) and 87/10?
30
Let s = -434451439/226056 + 8/28257. Let b = 1928 + s. What is the common denominator of b and -5/9?
72
Let x(v) = 4*v**3 - 9*v**2 - 6*v + 7. What is the lowest common multiple of 16 and x(3)?
16
Let v = 28221/12308 + -242/181. Calculate the common denominator of 143/12 and v.
204
What is the common denominator of 122/(-12) - 2/(-8) and (((-60)/(-125))/(-6))/(36/(-3195))?
60
Let c = -38959/58 - -615/29. Let l = -7168/11 - c. Calculate the common denominator of l and (-1)/(-3) + 113/12.
44
Let u = -109 - -111. What is the common denominator of -10/11 and u/(-1)*(-391)/(-204)?
66
Suppose 21*c - 1283 = 2119. What is the smallest common multiple of c and 9?
162
Let n = -4 + 8. Suppose 21 = -n*z + 4*g + g, 3*z + 2*g = 13. Let l(x) = 2*x**2 + 4*x - 1. Calculate the lowest common multiple of l(-3) and z.
5
Let t = 18/89 - -673/1513. What is the common denominator of t and -4/7?
119
Let a(o) = o**3 + o**2 - o - 105. Let n be a(0). Let y be ((-261)/n + 3)*65. Let z = y + -24141/70. Calculate the common denominator of z and -107/10.
10
Let s = 2008 + -1788. What is the lowest common multiple of s and 308?
1540
What is the common denominator of 9/21 - (-747)/70 and -50*20/3450 + (-1)/(-3)?
230
What is the common denominator of (-140)/(-600)*54/28 and 127/1734?
17340
Let b = -4836943/55 + 87949. Let n = 324411/70840 - b. Let u = 4195/3864 + n. Find the common denominator of 9/8 and u.
24
Suppose 3*d = 7 - 25. What is the common denominator of 11/(-22) + (-22)/d and (24/35)/(4/10)?
42
Suppose 7*o + 12 - 5 = 0. Let n = 49/17 - 1787/272. Calculate the common denominator of n and ((-451)/(-6))/(-11)*(-2 + o).
16
Let d = -2353584749069/5936 - -396493384. Let s = d + 3/848. What is the common denominator of s and (-3)/7*273/(-48)?
112
Let z(g) = -7*g + 2*g + g**3 + 8 + 3*g + g. Let w(x) = 2*x + 68. Calculate the smallest common multiple of z(0) and w(-26).
16
Let q(p) = -p**3 + 4*p**2 + 6*p - 4. Let i be q(6). Find the common denominator of i/(-18) - 4/2 and ((-242)/(-24))/(3 + 7/(-2)).
18
Let i be (-2)/10 - 10015/(-32982). Let v = 1/1434 + i. Let q = 5743/1035 - v. Find the common denominator of 38 and q.
9
Suppose 27*o - 288 = 15*o. Calculate the least common multiple of 21 and o.
168
Calculate the common denominator of (-2869)/(-665) - (5 + 1) and -31/77.
385
Let f = 345 - 334. What is the smallest common multiple of 25 and f?
275
Suppose -3*z + x + 2618 = 0, -4*x = 5*z - 1895 - 2491. Find the common denominator of -19/3 and z/(-1428)*-2 + (-6)/(-21).
51
Let u(s) = -s + 19. Let v be u(16). Suppose 0*a = -4*a + m - 1, a + v*m - 16 = 0. Calculate the smallest common multiple of 9 and a.
9
Suppose 1 = -4*t + 3*t. Let u(y) = -2*y**2 - 3*y - 2. Let k be u(t). Calculate the common denominator of 47/9 and (188/(-64))/k*2.
72
Let f be 9 + -7 + (-1 - -1). Suppose r - f*r = -40. Suppose -b + r = b. Calculate the smallest common multiple of 2 and b.
20
Suppose 5*w + 3*m - 2003 + 451 = 0, 0 = -3*w + 4*m + 937. Suppose -61 + w = 5*a. What is the smallest common multiple of a and 10?
50
Find the common denominator of (-62)/(-465) + 673/(-360) and -79/45.
360
Let z = -293 + 535. Calculate the smallest common multiple of 121 and z.
242
Suppose 211 = 3*s - 137. Let v = 148 - s. Calculate the least common multiple of 16 and v.
32
Suppose 5 = 2*r - 3*t, 0 = 2*r + r - 3*t - 3. Calculate the common denominator of 13/3*(0 + (-12)/40) and 115/(-76) + r/8.
190
Let a = -3759/55 - -354/5. Calculate the common denominator of a and 35/12*182/(-35).
66
Let c = -12 + 22. Let s = -57 - -24. What is the smallest common multiple of c and -3*2/s - 300/(-44)?
70
Let v(a) = 4*a**2 - 4*a + 3. Let l be 0 + -23 - 3 - -2. Calculate the smallest common multiple of v(2) and l/18 - 26/(-6).
33
Suppose -5*w = -14*w + 90. What is the least common multiple of 27 and -2*(2 + w/(-4)) + 8?
27
Let j be (-4 - 18/(-4))*16. Suppose 5*l + 3*o + 35 = j*o, 4*l + 22 = o. Find the common denominator of (22/24)/((-1)/l) and 49/18.
36
Let f = -2588/63 + 272/7. Find the common denominator of f and 3/2246.
20214
Suppose -9*z = -6*z - 90. Calculate the smallest common multiple of 36 and z.
180
Let a(f) = -86*f + 18. Let i be a(7). What is the common denominator of 9/16 and (i/440)/(4/(-10))?
176
Let i = -131/43 - -11809/3354. What is the common denominator of 1/(-4)*(-34)/4 and i?
312
Let z be 2/180*79481/187. Let c = z - 1/2805. Find the common denominator of (-2)/(-18)*161/(-46) and c.
18
Let r(u) = 2*u**2 + u - 5. Suppose -4*l - l - 76 = 4*h, 5*h + 32 = -l. What is the lowest common multiple of r(-3) and 30/(-4)*8/l?
10
Suppose 4*c - 78 = -3*t + c, -c - 4 = 0. Let l = 14 + 13. What is the smallest common multiple of l and t?
270
What is the common denominator of 5 + (-4)/((-36)/(-37)) and 15/38*2/(-3)?
171
Suppose -24*v + 20*v = t - 83, 3*v - 4*t = 86. Calculate the smallest common multiple of v and 26.
286
Suppose -2*c - 18 = 5*m, -c + 2*m - 12 = 3*c. Calculate the common denominator of -40/7 and -4*(-4)/c + 278/50.
175
Calculate the common denominator of 0 + 1 + (350/72)/(-7) and -33/40.
360
Let b(n) = -n**3 + 3*n**2 + 7*n - 16. What is the least common multiple of 264 and b(2)?
264
Let m(d) = -d**3 - 2*d**2 - d. Let t(x) = -x + 1. Let w be t(3). Calculate the smallest common multiple of 10 and m(w).
10
Let q = -82492/15 + 5503. What is the common denominator of q and -25/32?
480
Suppose 0 = -23*y + 905 - 169. What is the lowest common multiple of 16 and y?
32
Suppose -400 = -49*m + 39*m. What is the smallest common multiple of m and 76?
760
Let g(a) = 39*a - 15. Calculate the smallest common multiple of g(2) and 70.
630
Suppose 5 = 5*p, 0*j + 5*p = 3*j - 121. What is the lowest common multiple of j and 21?
42
Let l = -2722 + 3958. What is the common denominator of -91/6 and (-2)/7 - l/1848?
66
What is the common denominator of (-2)/(-6) + ((-112)/(-33) - 5) and 133/6?
66
Let r = -1161 + 1311. What is the least common multiple of 250 and r?
750
Find the common denominator of ((-126)/600)/21*(-430)/(-4) and 19/5.
40
Let f = 176167/14 - 12576. Calculate the common denominator of f and 131/396.
2772
Calculate the common denominator of -17/67 and (-9)/(-36) + (-564)/(-16).
134
Suppose 26 = -3*v + 5*v + a, 2*a = 5*v - 74. Suppose 0 = 12*p - 2 - 46. Calculate the lowest common multiple of v and p.
28
Let a(j) = 3*j**2 + 3*j. Let t = 490 + -466. Calculate the lowest common multiple of t and a(-2).
24
Suppose 6*h + 2*h - 88 = 0. Suppose -h = -2*b - 5*r, 3*b = r - 4*r + 12. What is the least common multiple of 12 and b?
12
What is the common denominator of (4 - 35/14)*(-39)/(-198) and -89/20?
220
Let y(u) = u**3 - 3*u**2 + u - 4. Let p be y(3). Let s be p/((-56)/(-20) - 3). Suppose -s*l + 33 = -17. Calculate the least common multiple of 4 and l.
20
Let f be (-20)/(-70) + (4632/(-14))/