/((-2)/(1 - -3)). Let g(u) = u**3 - 13*u**2 + 22*u + 14. What is the least common multiple of 14 and g(n)?
14
Let d = 835 + 0. Let u = d + -831. Suppose 0 = 2*k - 2. Calculate the smallest common multiple of k and u.
4
Let g be (-13645)/(-25)*(-10)/(-8). Let o = g + -3398/5. Find the common denominator of -139/24 and o.
120
Let v be ((-56)/(-140))/((-2)/(-20)). Suppose 0 = 11*h - v*h - 49. Calculate the lowest common multiple of h and 21.
21
Let p = -6462 - -6526. Calculate the lowest common multiple of p and 632.
5056
Suppose -2*k - 2*k - 396 = 0. Let i = -7109/588 + -15/196. Calculate the common denominator of i and (-3)/(k/85) + -3.
66
Suppose -81 + 1 = -8*v. Let j(l) = -l**3 + 10*l**2 + 4*l - 20. What is the smallest common multiple of j(v) and 98?
980
Let f be (-9)/(-12) + 76/(-16). What is the lowest common multiple of f/18 - (-3250)/45 and 96?
288
Let f be -5 + (1 + -14)*-1 + -5. Calculate the smallest common multiple of f/(-2)*348/(-18) and 8.
232
Let m be (0 + -6)*(25 + -13 - 179). Let i = m - 986. Calculate the lowest common multiple of 268 and i.
1072
Let y = 29401 + -1646511/56. What is the common denominator of y and 41/(-20) + 1 + 42 + (0 - 38)?
280
Suppose 5*d - 15 = -k - 3, 0 = k + 3*d - 6. What is the common denominator of 63/10 and k - 2*(-193)/36?
90
What is the least common multiple of (499 - 487)*((-1)/3 + 1) and 88?
88
Let g = 602 + -569. Suppose -7*n - 12 = -g. Calculate the smallest common multiple of n and 51.
51
Suppose 0 = 4*i - 552 - 1393 - 2023. What is the least common multiple of i and 4?
992
Let l = -55/3841 - -548419/1014024. Calculate the common denominator of -5/528 and l.
528
Let o = 8 - 9. Let g = o + 1. Suppose g = 4*m + m - 50. Calculate the lowest common multiple of 22 and m.
110
Suppose -408 = 12*d - 468. Calculate the least common multiple of 140 and d.
140
Let c be 1/((1 - -1)*15/(-420)). What is the common denominator of -49/13 and c*21/(-56) - (-6 + 3)?
52
Suppose 8*t - 10 = 3*t. Suppose 6*m = t*m - 16, 4*u = -5*m + 44. Let j(o) = -o**2 - 2*o + 7. Calculate the lowest common multiple of u and j(-3).
16
Let g = 80/11 + -1669/231. Find the common denominator of 3 + (5083/(-322))/17 and g.
42
Suppose 0 = 26*b - 30*b + 256. Calculate the smallest common multiple of 28 and b.
448
Calculate the common denominator of -16 + (-14 - (-40940)/1350) and 19/975.
8775
Suppose 49 = -87*y + 80*y. Calculate the common denominator of -13/6 and -2 - 43/(-24) - 7/y.
24
Let q = -2459 - -319559/130. Calculate the common denominator of q and 113/2210.
2210
Let j = 212 - 29. Suppose -j + 18 = -15*p. What is the smallest common multiple of p and 9?
99
Let h be (-3)/2 + (0 + -6)/12. Suppose 2*c + 5*a - 124 - 105 = 0, 0 = -c + 5*a + 77. Calculate the smallest common multiple of 4 and h/(-12) - (-15691)/c.
308
What is the lowest common multiple of (((-4)/3)/2)/((-4)/384) and 39/65 - -3*985/75?
320
Let v(i) = -i**3 - 12*i**2 - 20*i + 15. Suppose -y + 19 + 11 = 0. Let s = y + -16. Calculate the smallest common multiple of s and v(-11).
798
Suppose -2*l = 6*d - 5*d - 7, -4*d - l - 7 = 0. Find the common denominator of (-284)/(-40) + d/(-5) and ((-34)/96)/(1/(-3)).
80
Let j = 855/376 + -7/47. Suppose n = -3*h + 22 - 76, 36 = -2*h + 4*n. What is the common denominator of h and j?
8
Suppose -5*t + 0*t = -540. Suppose -8 = a - 4*m, 6*a - 689 = -m - 662. Calculate the least common multiple of a and t.
108
Let g = -553 + 552. Find the common denominator of -37/12 and 9/g + 3193/351.
1404
Suppose 2*w - 60 = -2*w. Let v be ((-81)/w)/(-1*(-2)/(-30)). Let b = v + -73. Calculate the least common multiple of b and 20.
40
Suppose 121 = 3*i - 7*l, 19*i - 4*l = 17*i + 82. Suppose 23*j + 285 = 26*j. Calculate the least common multiple of i and j.
855
What is the common denominator of (-300)/(-1800) - 134/(-324) and -41/42?
1134
Let r be (-4)/(-66) - 16660/462. Find the common denominator of -115/78 and 70/(-273)*r/45.
78
Find the common denominator of 279/(-62)*86/(-1410) and -87/10.
470
Suppose -f + 34*g - 39*g = -1149, 5*f = -3*g + 5811. Calculate the lowest common multiple of f and 87.
33756
Calculate the least common multiple of (-164898)/(-162) - (0 + 5/(-45)) and 22.
11198
Find the common denominator of -61/42 and 202*(-132)/26640 - -1.
7770
Let z(l) = -l**3 - 5*l**2 - 15*l. Let k be z(-3). Calculate the common denominator of -2*(-131)/120 + k/54 and 27/4.
60
Find the common denominator of (-2)/((-8449)/(-791) + -11) and 1/1854.
1854
Let v = 9505 + -8665. What is the least common multiple of v and 120?
840
Suppose 0 = -5*t + 8*q - 10*q - 255, 0 = 2*t - 3*q + 102. What is the lowest common multiple of 6 - ((t - -1) + 1) and 20?
220
Let w = 6927/4 - 1717. Suppose 5*m = u + 3*u - 38, 0 = -5*u - 4*m + 68. Find the common denominator of w and 3/(-28)*42/u.
8
Let m(v) = v + 9. Suppose -19 = -5*h + 6. Suppose 4*o = -20*o + 240. Calculate the least common multiple of m(h) and o.
70
What is the least common multiple of 101 and (4/22 + (-4032)/(-693))/(2/3)?
909
Calculate the common denominator of 99/8 and 2738/(-222) + 5/(-6).
24
Let g = -6330334 + 53731875063/8488. Find the common denominator of 73/44 and g.
93368
Let y be 3/(-2)*(36128/6)/(-4). Suppose -9*u + y - 836 = 0. Suppose -5*x + 2*j = -u, -4*j = 5*x - 118 - 16. What is the lowest common multiple of x and 24?
120
Let v = 1982/9 - 14051/63. Calculate the common denominator of v and 64/57.
399
Let b = -379509525/5049623 - -1905958638607687975/13149218292. Let i = 144948364 - b. Let q = -105/124 - i. What is the common denominator of q and 71/18?
126
Let y = -172/29 + 8733/1624. What is the common denominator of y and -51/2480?
17360
Let h = 233 + -244. What is the common denominator of 25/h + 1 - 4/12 and -167/30?
330
Calculate the common denominator of -4 - ((-92)/(-12) - 7)*15/12 and -127/48.
48
Let j = 68303357/99 - 689933. Find the common denominator of j and ((-34)/48 - 0) + -1.
792
What is the common denominator of 1 + 292/72 - (24 + -17) and 20/3?
18
Suppose -5*o = 4*v + 282, 12 = -4*v - 0. Let j = -51 - o. Let c(g) = g**2 - 5*g + 18. Calculate the least common multiple of c(j) and 142.
852
Find the common denominator of 1854/(-60)*(-70)/(-15456) and -17/1840.
3680
Let m be (-1)/(-2) + 18/4. What is the common denominator of ((-41)/m)/((-6)/(-9)) and ((-71920)/93)/(-29)*(-6)/55?
110
Let f = 4295 + -4294. Let n be (-685)/(-15) - 4/6. Let y = -27 + n. Calculate the lowest common multiple of f and y.
18
Let x = -52121/57480 - -119/479. Calculate the common denominator of x and 73/440.
1320
Suppose -3*z - 2 = 1. Calculate the common denominator of 1 + 7 - 2230/340 and 345/(-96)*-2 + z.
272
Let v be 1464/7953 - 2/11. Let w = 230685/21208 - v. Let j = -15/1094 + -60567/10940. Find the common denominator of j and w.
40
Let p = 10980 + -153617/14. Calculate the common denominator of 18/(-12) + 2/(-84) and p.
42
Suppose -9*b + 14*b = -15. Let u be -3*(3/b - 33/(-9)). Calculate the common denominator of -56/5 and u/(-28) - 268/154.
55
Let j = -767 - 777. Let c = j + 4687/3. Calculate the common denominator of 17/3 and c.
3
Calculate the common denominator of -39111*(-6)/16632 + -8 + -6 and 103/420.
4620
Let d = 2 - -2. Suppose 4*u - 15 = -5*l, 5*l - 13 = -3*u - 3. Suppose -u*m - 2*k = -0*m - 23, m - 4 = -k. What is the smallest common multiple of d and m?
20
Let h(q) = -331*q**2 - 394*q - 2. What is the smallest common multiple of 1281 and h(-1)?
1281
Let o(d) = d**2 + 23*d - 50. Let x be o(-30). Suppose 0 = 35*u - x - 190. Calculate the lowest common multiple of u and 11.
110
Let g = 212054/7 - 64889273/2142. Find the common denominator of g and 73/46.
7038
Let p(u) = -u**2 + 6*u + 18. Let v be p(8). Suppose -v*h + 3*s + 22 = 4*s, -5*s + 20 = h. Calculate the lowest common multiple of (80/(-72))/(-3*1/54) and h.
20
Let r be 55/(-35)*17 + (-2)/7. What is the common denominator of 9/(r/(-12)) - 309/48 and 56/9?
144
Let o = 1/14330 + -182966/3704305. Calculate the common denominator of o and -47/6.
3102
Let p = 294/5 - 487/10. What is the common denominator of (-4*(-65)/(-6540))/(3*(-2)/54) and p?
1090
Let d = -95953/852862 - 5/4042. Suppose -3*y - 6 - 84 = 0. Find the common denominator of d and y.
211
Let x = 6366 - 1476907/232. Let y = -14107/2088 - x. Calculate the common denominator of 