 3*v. Let j(u) = u**3 + 15*u**2 + 16*u - 30. What is the least common multiple of 8 and j(t)?
200
Let v = 153662 + -62233147/405. Find the common denominator of v and 42/8 + 3/4 + 26/(-11).
4455
Let i = -74 - -74. Suppose -5*y + 4*a + 22 = i, 0*y - a + 20 = 3*y. Calculate the least common multiple of 8 and y.
24
Suppose 3*y - 6*y + 49 = 4*v, y = 3. Let z be v/(-35) + (-80)/14. What is the common denominator of z/10*345/(-66) and 17/46?
506
Let u = -671213/157619 - -685/161. Calculate the common denominator of u and 51/4984.
54824
Find the common denominator of 39/88 and (-1534)/(-396) - ((-2061)/(-99) - 21).
792
Suppose 0 = -26*g + 23*g + 24. Suppose g*f - 5*f = 36. Calculate the least common multiple of f and 4 + -8 - -2*3.
12
Suppose 5*b = 3*z + 4394, 4*b + 4*z - 3499 = z. Let c = b - 857. Calculate the smallest common multiple of c and 20.
20
Let p be 1/(-4)*-6 + (-4845)/(-34). Calculate the common denominator of -7/64 and (-3424)/p*9/(-48).
192
Suppose 2*d + 14 = 2*u, u - 10*d = -7*d + 17. Find the common denominator of -44/35 and u/5 + 4 + 156/(-165).
385
Let m be ((-8)/10)/(68/20 - 3). Calculate the smallest common multiple of 144/m*-1*(-3)/(-4) and 81.
162
Let q(b) = -4*b**3 - 39*b**2 - 56*b + 10. Calculate the lowest common multiple of 684 and q(-8).
3420
Suppose 0 = -26*g + 33*g - 525. Calculate the lowest common multiple of 120 and 0 + -5 - (-3075)/g.
360
Let w = 176 - 106. Let g = -46 + w. Find the common denominator of ((-1)/g)/(12/(-549)) and 40/9.
288
Let f be 3*(-2)/(-39) + (-13076)/(-182). Suppose -76*g = -f*g - 100. Let p(a) = a**3 + 8*a**2 - a - 4. What is the lowest common multiple of g and p(-8)?
100
Let k(x) = x + 38. Let z = -11 + 11. Suppose c = -2*l + 14, 5*c - 54 = -8*l + 6*l. What is the lowest common multiple of c and k(z)?
190
Suppose -3*r - 2*o + 2 = 3, 5*o = -5*r. Calculate the lowest common multiple of (252/(-162))/(2/(18*r)) and 2.
14
Let k = 5655497/250 + -22622. What is the common denominator of 3/100 and k?
500
Let z be (-8 + 9)/((12/56)/3). Suppose -5*x = -34 + z. Calculate the smallest common multiple of x and 92.
92
Let u(w) = -w**2 + 14*w - 63. Let q be u(7). What is the common denominator of 649/228 - q/(-168) and -99/10?
190
Suppose 819*i + 133 = 952. Suppose 5*q + 59 = 2*x + 2*q, 3*x - 4*q - 86 = 0. Calculate the smallest common multiple of x and i.
22
Suppose 5*d - 140 = j - 0*d, -4*d = -j - 144. Let r = j + 162. What is the smallest common multiple of 2 and r?
2
Suppose p + 0 = -1, 0 = 3*g + p - 200. Let z = g + -59. Let s = 187 + -167. What is the least common multiple of s and z?
40
Let n = 5154 + -41291/8. What is the common denominator of n and 80/72 + (-13676)/3744 - 4/(-6)?
8
Let c = -47949209/834 + 57493. What is the common denominator of -49/834 and c?
834
Let o(j) = -j**2 - 26*j + 1375. Calculate the least common multiple of o(-31) and 1220.
1220
Suppose 3*x + z = 25 + 4, 5*x - 51 = z. What is the smallest common multiple of x and 46?
230
Let h = -849/8 + 691/8. Let l = -109 - -94. What is the common denominator of h and 2*(94/(-40))/((-12)/l)?
8
Suppose -2*u = -2*c + 1018, -3*c + 486*u = 488*u - 1522. What is the lowest common multiple of 36 and c?
4572
Let m = -497 - 156. Let y = -3236/5 - m. Let z = 238291/49798 + 2/3557. Find the common denominator of z and y.
70
Let f = 10/523 + -62337/5230. Find the common denominator of f and ((-103)/(-5))/(84/(-5)).
420
What is the common denominator of 0 + (-58)/9 - (-4)/(-12) and ((-1617)/70 - -3)*3/(-54)?
180
Let u = -250627/62 - -4042. Find the common denominator of u and -51/310.
310
Let t be 16 - 22 - 396/(-2). Suppose -27*a + t = -23*a. What is the smallest common multiple of 54 and a?
432
Let k = 2 - -3. Suppose k*j - 2*d - 5 = 6*j, 3*j - 29 = 5*d. Calculate the lowest common multiple of (-15)/(-7) + 6/7 and j.
3
Suppose 0 = -3*m - 5*w + 18, 5*m = 5*w - 2*w + 30. What is the smallest common multiple of (-6)/(-4)*(-15 + (-19 - -52)) and m?
54
Let c(q) = 104*q - 700. Calculate the least common multiple of c(7) and 1688.
11816
Let t(n) = 2*n + 47. Let l be t(-22). Suppose -l*i = 2*j - 40, -24 = -3*j - 4*i + 34. What is the smallest common multiple of j and 1/4*2*20?
70
Suppose 11*n - 16*n = -90*n + 170. Calculate the lowest common multiple of n and 338.
338
Calculate the common denominator of 58/111 and (2 - 48/15) + 38383/(-35160).
888
Suppose 0 = -3*y - 3*p + 20 + 61, -5*p + 55 = y. Let s = -4 - -7. Suppose s*z + 28 = 94. Calculate the smallest common multiple of y and z.
220
Let z = -11564 - -11569. Let b = -12 - -23. Calculate the smallest common multiple of b and z.
55
Let u(q) = 380*q + 14445. What is the lowest common multiple of u(-38) and 1599?
7995
Let l = 53529/2 + -26766. Let z = 15540257/342 + -45439. Calculate the common denominator of z and l.
342
Suppose 43237 + 24765 = 281*m. Calculate the least common multiple of 902 and m.
9922
Let p(k) = -k**2 - 5. Let o be p(-4). What is the common denominator of (-2)/(-1) + o/(-4) and (((-2368)/(-80))/(-4))/(-1)?
20
Let k(r) = r**3 + 6*r**2 - 11*r + 2. Let v = -156 - -181. What is the least common multiple of k(-7) and v?
150
Calculate the common denominator of 83/438 and 2/(-30) + (-5115)/(-452600).
1752
Let c = -59137/32264 + 195/109. What is the common denominator of c and ((-21)/14*(-188)/8)/((-9)/3)?
296
Calculate the common denominator of (-2)/(-21) + 0 - (2 - 133068/69552) and -23/16.
3312
Let v(x) = -2*x**3 + x + 1. Let j be v(-1). What is the common denominator of (-2)/10 - (-1572)/(-80)*j and -2 - (516/32)/3?
8
Suppose 7*y - v - 6 = 5*y, -v + 6 = 2*y. Let c be (-52)/8 - (y/(-2) + 1). Calculate the common denominator of 5/9 and 3832/204 + c/51.
9
Let z(d) = -6593*d - 6585. Suppose 6*t + 4*m = 3*t + 15, 0 = 3*m. What is the smallest common multiple of z(-1) and t?
40
Let p(j) = 16205*j - 10. Let o be p(7). Let g = -34027559/300 + o. What is the common denominator of g and 1/22?
3300
Let k = -6452563/90 - -71696. What is the common denominator of k and 149/810?
810
Suppose -10*u - 351 = -11*u - 3*t, 0 = 4*t + 12. Calculate the lowest common multiple of u and 24.
360
Let q be (50/(-12))/(-25) - 65/(-6). Let b(r) = -r**3 + 12*r**2 - 10*r - 7. Calculate the smallest common multiple of 96 and b(q).
96
Suppose 0 = 16*c - 2*c + 3556. Let i = c - -446. What is the common denominator of (-28)/i*22/(-5) and 33/8?
120
Let t(g) = -g**3 + 13*g**2 - 2*g + 14. Let n be t(9). Suppose -x + 0*b + 3*b = -95, -3*x = -2*b - n. Calculate the lowest common multiple of 22 and x.
110
Suppose 122*t - 12936 = -46*t. What is the least common multiple of 483 and t?
5313
Suppose 0 = -3*q - 8*u + 1204, -16*q + 2*u - 400 = -17*q. Calculate the smallest common multiple of 264 and q.
792
Let y = 46/6815 + -100623751/40890. Let m = y - -2468. Find the common denominator of -121/24 and m.
24
Suppose -2*l + 13146 = -26*q + 31*q, -2*q + 5260 = l. What is the smallest common multiple of 156 and q?
15756
Let a(s) = s**3 + 2*s**2 - 1. Let o be 18/48 - 5/(-8). Let d be a(o). What is the common denominator of 55/16*d/10 and -97/16?
16
Let y = -302858481321/30674 + 9873459. Calculate the common denominator of y and 59/20.
306740
Let c be 0 - (8 + -4) - (-25 - -19). Find the common denominator of (366/(-2135))/((-217)/(-110) - c) and -1 + (39/16 - -1).
112
Suppose -2*g + 94 = 2. Suppose 0 = -t - 5*i - 40, 4*t - 24*i = -29*i - 10. Calculate the smallest common multiple of t and g.
230
Calculate the lowest common multiple of 8 and 26 + -36 - 58*-1.
48
Suppose 0 = -c - 3*c - 1492. Let m = 21779609/20 - 1089353. Let b = c - m. Calculate the common denominator of b and -75/14.
140
Suppose -13*h + h - 18*h = -330. Let j(s) = 5*s**2 + 6*s - 8. Calculate the least common multiple of j(-6) and h.
1496
Let q be 0/((-5)/(5/(-2))). Suppose q = -19*d - d + 20. What is the smallest common multiple of d and 6?
6
Let n(w) = -w**2 - 23*w - 114. Let f be ((-76)/(-10) - 4)/(2/(-5)). Let c = 2 + 10. What is the least common multiple of n(f) and c?
12
What is the common denominator of (-159)/(-40) + (-21 - -18) and (515/(-35))/(0 + (-24)/(-14))?
120
Find the common denominator of -45/28 and (33/(-77))/((-78)/(-14)*10/(-15)).
364
Let m = 320499/20 - 16031. What is the common denominator of 11/9078 and m?
90780
Suppose 2145 + 1261 = -26*d. Let 