 Suppose 0 = -5*i - 2 - 8, -38 = -2*a + 3*i. Calculate the least common multiple of a and q.
16
Suppose 3*l - 1174 = -4*u, 0*u + 2*l + 889 = 3*u. Let v = -18308 - -475919/26. Calculate the common denominator of v and ((-7)/(-385))/(2/u).
286
Suppose -n - 40 = -11*n. What is the lowest common multiple of 117 and (-1 + -35)*-3*2/n?
702
What is the common denominator of -17/15 and (-2)/336*-1606 - 920/805?
60
Let u(l) = -l**2 + 9*l - 16. Let d be u(6). Let j(b) = -3*b**d + 0*b**2 + 7*b**2 - 3*b**2 + b + 4. What is the lowest common multiple of j(0) and 6?
12
Let i = 330 - 19793/60. Find the common denominator of 107/360 and i.
360
Suppose -10*u + 157 = -3893. Calculate the least common multiple of 243 and u.
1215
Find the common denominator of 1*((-2)/8 - (-289)/(-238)) and (-278)/96*-2 + -1.
168
Suppose 0 = 38*b + 8066 - 15248. What is the smallest common multiple of 63 and b?
189
Let a(q) = 20*q**2 + q + 2. Let o be a(3). Let j = 311 - o. Calculate the common denominator of (10/(-144))/(9/j) and -79/6.
36
Let f = 16709 + -534759/32. Calculate the common denominator of f and 149/360.
1440
Let s = -1615 + 1624. What is the smallest common multiple of s and 219?
657
Suppose -6*k - 14 = -10*k + 3*t, 3*k + 4*t = -2. Suppose 3*j + 2*a - 20 = 0, k*a + 15 = 5*j + 3. Calculate the least common multiple of j and 656.
656
Let g = 1248761 - 49945643/40. Let i = g - 599/5. Find the common denominator of i and -37/26.
104
Suppose 30872 + 4638 = 335*y. Calculate the least common multiple of 106 and y.
106
Let w(d) = 2*d**3 - 49*d**2 - 23*d - 62. Let p be w(25). What is the smallest common multiple of p/((-7)/(-4)*(-3)/14) and 3?
96
Let f = -24980 + 25008. Calculate the smallest common multiple of 2236 and f.
15652
Let i = -5717687/16 + 357350. Suppose 5*b = 2*b - 57. Find the common denominator of i and b/(-2)*10/(-4).
16
Let y be 5/60*-2 + (-11)/6. Let q(l) = 6*l**2 + 6*l + 9. What is the least common multiple of 49 and q(y)?
147
Let h = -43941029/1533273210 + 3/896651. Calculate the common denominator of h and -11/10.
1710
Suppose 8*v = -43 + 3. Let i be (-4 - v)/(2/60). Suppose -9*u + i = -4*u. Calculate the lowest common multiple of u and 1.
6
Let i = 136/3 - 3151/30. Let o = i + 526/5. Let l = 12307/1740 - -3/290. What is the common denominator of l and o?
12
Suppose 1 - 19 = 9*t. Let f(h) = -4*h**3 - 3*h**2 + 2*h + 4. Suppose 100*p - 97*p = 84. Calculate the smallest common multiple of p and f(t).
140
Let q = 48805/22 - 2219. Find the common denominator of -57/1852 and q.
20372
Let s be (-102449)/(-55)*80/(-32). Let t(i) = 129*i**2 + 3*i - 9. Let q be t(6). Let p = s + q. Find the common denominator of p and 113/12.
132
Let z = 4174 + -41659/10. Find the common denominator of z and (-3)/(-7)*(-3536)/780.
70
Suppose -465 = 24*g - 29*g. Suppose -4*w + g = -4*i + 5*i, -w - 2*i + 32 = 0. Calculate the lowest common multiple of w and 22.
22
Suppose 0 = 3*p - 17 + 8. Find the common denominator of 124/(-76)*2 + p and -51/11.
209
Let l = -43568 - -43572. What is the least common multiple of 21084 and l?
21084
Calculate the common denominator of 80/1440*40/(-4) and (1/(-5))/((-18)/1110).
9
Let f = 1110285389/16884 + -591836/9. Calculate the common denominator of -97/12 and f.
5628
Suppose 2*t = -4*n + 42, 7*t = 2*t - 15. Let v = n - 6. Calculate the lowest common multiple of 27 and v.
54
Let o = -185097 - -29985841/162. What is the common denominator of o and -139/936?
8424
Let f = -14725/8 - -1835. Calculate the common denominator of -37/520 and f.
520
Let j = -2785981/567817 + -637/2159. Let v = 2/1315 + j. Calculate the common denominator of -55/4 and v.
20
Suppose 250*x + 46 = 248*x. Let i = -796/33 - x. Calculate the common denominator of -113/6 and i.
66
Let x(u) = -u**3 - 6*u**2 + 7*u + 5. Let b = 35 - 49. Let p = -21 - b. What is the least common multiple of x(p) and 13?
65
Let r = -4/4729 + 71267/392507. Let j(m) = 2*m + 2. Calculate the common denominator of j(-2) and r.
83
Let c = -7 + 6. Find the common denominator of c/(-6*4/(-5)) and 16318/(-1845) - (-4)/10.
72
Find the common denominator of 1/3*(-1107)/(-72) and 1/(-2)*11567/3766.
56
Let r = -2244 - -24726/11. What is the common denominator of r and 3/((-1485)/(-2890)) - 5?
99
Suppose 3*t - 8*t - 2*g + 127 = 0, -3*g - 12 = 0. Let d = 190 + -80. Let v = -89 + d. What is the least common multiple of v and t?
189
What is the common denominator of -63/64 and (6/(-28))/(504/(-49))*246/(-26)?
832
Let g = 3594 - 3485. Calculate the least common multiple of 16 and g.
1744
Suppose 4*u + 3257 = 3*p, 2*p + 14*u = 10*u + 2178. Suppose p - 187 = 30*m. Calculate the least common multiple of 51 and m.
510
Let j = -7/16710 - -127429/590420. Find the common denominator of j and -51/1166.
6996
Suppose 2688 = 2086*d - 2079*d. What is the lowest common multiple of d and 64?
384
Suppose 23*g - 14*g - 27 = 0. Let c be -24*(2 - 7/3). Let w = -4 + c. Calculate the smallest common multiple of g and w.
12
Suppose 4*f = 9*f - t - 46, -f = -5*t - 14. Suppose 5*z + 4*r = 364, 2*z - 78 = 4*r + 62. What is the lowest common multiple of f and z?
72
Let p be (6 + 4225/(-705))*11. Let k = -284147964 + 1282075625059/4512. Let r = k - p. Calculate the common denominator of -91/20 and r.
160
Let u = 28 - 40. Let t be (-2)/11*u + (-10)/55. Calculate the common denominator of (-138)/40 + ((-55)/(-20) - t) and -79/2.
10
Let m(z) = -64*z + 10407. Let t(r) = -r + 10. Let j be 14*((-5)/(-2) + -2). What is the lowest common multiple of t(j) and m(162)?
39
Suppose 0 = -h + 4 - 27. Let v = h + 47. What is the smallest common multiple of v and 6?
24
Suppose -5*o + 4*c = -611, -572*o + 571*o = -c - 122. Calculate the lowest common multiple of 33 and o.
1353
Let i be ((-15097)/(-2))/(7/(-42)*-3). Let v = 61870871 + -1299605248/21. Let u = v + i. Calculate the common denominator of -4/33 and u.
231
What is the common denominator of 58/(-12)*(-38)/1083*9/(-2) and 95/568?
10792
Let c(q) = 17*q + 62. Let n be c(-4). What is the lowest common multiple of ((-297)/n)/1*(-4)/(-6) and 45?
495
Suppose -3*v - 4*f - 160 = f, -325 = 6*v + 5*f. Let q = -74 - -1. Let k = v - q. What is the smallest common multiple of k and 10?
90
Let d(q) = -29*q - 1042. Calculate the smallest common multiple of d(-36) and 181.
362
Let h = -93352 + 93472. Calculate the smallest common multiple of h and (-6)/(-10) + (-324)/(-10).
1320
Let c(x) = 4*x**2 - 3*x + 4. Let d be c(23). Let f = -32849/16 + d. What is the common denominator of f and 89/64?
64
Let c(i) = 28*i**3 + 4*i**2 + 4*i - 9. What is the least common multiple of 21 + -1 + -1 + 2 and c(1)?
189
Let t(m) = 50*m**3 - 7*m**2 + 5*m + 7. Let i be t(5). Let g = i - 48945/8. What is the common denominator of (0 - (-2582)/(-120)) + (-68)/(-255) and g?
8
What is the common denominator of (-2)/14 + (3957/14616 - 4/16) and 87/4?
696
Let x be 5229/41*(-22)/(-92). Let b = -2/943 - x. Let n = -4997/4 + 1260. What is the common denominator of n and b?
4
Let f(q) = 71*q + 33. Let v be f(2). Let y = 203 - v. What is the smallest common multiple of 208 and y?
1456
Suppose i + 2*i = -3*v + 189, -v = -i - 59. Let j = -63 + v. What is the common denominator of -15/4 and ((-5)/j - 1)/((-330)/(-869))?
20
Let o = -7500683/80 + 93757. Find the common denominator of o and (21/(-16))/((-30)/28).
80
Let r = 1015777699/1178 + -862290. What is the common denominator of r and -3/62?
1178
Let t = 76 + -76. Suppose -3*r - 1 = -2*p + 7, t = -4*r. Suppose -3*a + 0 = 2*j - 40, -3*j - 45 = -3*a. What is the lowest common multiple of p and a?
28
Let n(i) = -3*i**3 - i**2 - i - 1. Let f(r) = 7*r - 32. Let c be f(-24). Let v = c - -221. Calculate the lowest common multiple of v and n(-2).
21
Let g(j) = 318*j + 651. Calculate the least common multiple of 11 and g(-2).
165
Let s = 2634 - 15701/6. Calculate the common denominator of 6/14*1 - (-4727)/3654 and s.
18
Let v(w) = 6*w**2 + 9*w - 78. What is the lowest common multiple of v(-10) and 56?
3024
Suppose -5*c = -4*x + 21, c = x - 3*x + 7. Let u be 2 - (-24)/x*1. Suppose u = -2*p + 4*h, h = 4*p - h - 14. Calculate the least common multiple of p and 3.
6
Let f = -314/25 - -9277/450. Let x = 872/45 - 118/9. Find the common denominator of x and f.
90
Suppose -63 = -k - 26. Let q = -34 + k. What is the l