0).
20
Let u(s) = s**2 + 4*s - 10. Let l be u(-6). Suppose -22 + 8 = -l*n. What is the smallest common multiple of (n/(-2))/((-2)/8) and 18?
126
Let d(m) = -6*m**2 + 56*m - 6. Let l be d(9). What is the common denominator of 612/(-96)*3/l and -15/22?
352
Suppose x = 4*s + 42, -5*x + 2*s = 11 - 167. What is the common denominator of -121/50 and (-179)/x - (56/10)/(-7)?
150
Let q = -33/109 + -224/9701. What is the common denominator of q and -6/23?
2047
Let c = 1271 + -7577/6. Calculate the common denominator of 4/(-42)*(3159/4)/(-9) and c.
42
Let k(n) = -3*n + 24. Let z = -51 + 4. Let u = -32 - z. Calculate the smallest common multiple of k(5) and u.
45
Suppose 0 = -3*m - 2*m + 60. Suppose -68*n + 4692 - 1428 = 0. What is the common denominator of 26/17 and 4*(-8)/n - 67/m?
68
Let k = 6 + 14. Let j be 4*((-1)/(-5))/(10/25). Suppose d - 3 = -j*u, 0 = u + 71*d - 69*d. What is the lowest common multiple of k and u?
20
Let g = 48/113 + -1409/3051. Calculate the common denominator of 28/57 and g.
513
Let a be 8*(21/(-12))/(-7). What is the least common multiple of (a/10 + -2)/((-20)/200) and 56?
504
Let u be (8135/(-20))/(3 + (-13)/4). Suppose 1300 = 4*f - 4*x, -3*f = 2*f - 3*x - u. What is the lowest common multiple of f and 10?
1630
Suppose 5*i - 33*n = -39*n + 110, 3*i - 58 = -2*n. What is the smallest common multiple of 1240 and i?
2480
Let f = 244 + -160. Suppose -4*h + h - p = -63, p + f = 4*h. Calculate the common denominator of (-330)/(-4)*(-2)/(-2*h) and -113/10.
70
Suppose 22*a - 17*a - 2*u = 42, -2*a + 2*u = -18. Let p(w) = -w + 6. Let b be p(6). What is the lowest common multiple of a and (-16)/5*(-5 - b)?
16
Let f(a) = -22 - 8*a + 36*a**2 - 32 - 7*a + 70*a**2 - 45*a**2. What is the smallest common multiple of f(-3) and 16?
2160
Let f = 384 - 360. Suppose -8*s + 105 = -3*s. Calculate the smallest common multiple of s and f.
168
What is the least common multiple of 126 and ((-153)/(-8)*2)/((-420)/(-11760))?
2142
Suppose -3*f + 22 = -f. Let h be 192/30 - 3/(-5). What is the smallest common multiple of h - 5/10*-4 and f?
99
Let p = 65 - 59. Suppose 0 = 2*k + k + p. What is the smallest common multiple of 21 and 444/48 - k/(-8)?
63
Let r = -276503/8 + 34551. Let d be (-24)/(-10)*(-40)/(-12). Calculate the common denominator of r and ((-25)/d - -1) + 1.
8
Let y be 1 - (-3086)/30 - (-10)/75. What is the lowest common multiple of 12 and 22*(-7)/(-8) - 130/y?
36
Suppose 0 = 8*i - 3*x - 9795 - 1440, -3*x - 2811 = -2*i. Calculate the least common multiple of i and 4914.
9828
Let b = -207593/18 + 11536. Find the common denominator of b and 73/238.
2142
Let d(u) = -u**3 + 16*u**2 + 19*u - 32. Let c be d(17). What is the common denominator of 56/24 + 1148/(-96) and 70/4*c/(-8)?
8
Find the common denominator of -97/48 and -3 - 7/(-8)*(-40281)/(-11484).
1056
Let w(p) = -37*p + 1148. Let b(q) = q**3 - 8*q**2 + 5*q + 10. Let h be b(7). What is the smallest common multiple of 176/(-12)*6/h and w(30)?
418
Let i = 1130 + -590. What is the lowest common multiple of 18 and i?
540
Let v(m) = 5157*m + 242. Let b be v(-20). Let p = 50419993/490 + b. Find the common denominator of p and 17/12.
2940
Let y(v) = 56*v**3 - 21*v**2 + 67*v - 24. What is the lowest common multiple of 9 and y(6)?
11718
Let m = -2582/17 - -207767/1360. Find the common denominator of 0 + -5 + 12 - -50*(-35)/308 and m.
880
Suppose 71 = -291*f + 974 + 843. What is the least common multiple of 18556 and f?
55668
Let p be 120/70 - 8/84*-3. Find the common denominator of 2/(-4) - (p - (-237)/(-9)) and -44/9.
18
Find the common denominator of 23/26 and (1916/192 + -10)/((-5)/115).
624
Let x = -74 - -40. Let i = -10 - x. Suppose 0 = -6*f + 111 - 3. Calculate the smallest common multiple of i and f.
72
What is the smallest common multiple of 114 and ((-24)/10)/(-3) - (-1045)/475?
114
What is the lowest common multiple of 99 + (8 - 15 - -4) and 18?
288
Calculate the smallest common multiple of 36 and (-15)/9 + 56/12 - -377.
3420
Let v = -70/99 + -4084/3465. Find the common denominator of v and 3 + (0 - 6) - 121/(-70).
70
Let h be 52/8 + (-2)/4. Suppose -h*t = -2*t - 3*r - 79, -3*t + 3*r + 63 = 0. Let f = 48483 - 48479. Calculate the lowest common multiple of f and t.
16
Let z = -505936/145353 - 24/3727. Let r = -1453/234 - z. Calculate the common denominator of -17/10 and r.
90
Suppose 31*i = 42*i. Suppose 8*k - 135 - 129 = i. What is the lowest common multiple of 132 and k?
132
Let r = -19/27 + -593/27. Let t be (-16)/3*147/(-154). Let b = 47/11 - t. Calculate the common denominator of b and r.
33
Let c = 1869108 - 4007367653/2144. Find the common denominator of c and -53/22.
23584
Let d = 516 - 2631/5. Calculate the common denominator of ((-15)/(-100))/(6/28) and d.
10
Suppose 13*t = 9*t - 2*c - 60, -4*c = -t - 15. What is the common denominator of (-610)/(-36)*(3/t - 0) and 79/2?
18
Let t = -22801 + 16180. Let u = t + 53063/8. What is the common denominator of u and -28/129?
1032
Let m = -3854 + 4016. Calculate the least common multiple of 195 and m.
10530
Let j = 902 + -1378. Let i(r) = 9*r. Calculate the smallest common multiple of j/(-51) + 4/6 and i(2).
90
What is the lowest common multiple of 28 and -1 - (8909/(-604))/(1/124)?
12796
Suppose -5*f - 19 = 21*v - 17*v, 3*v - f = 0. What is the common denominator of -6/11 and 290/(-488) + v/4?
1342
Suppose f - 3*c = 5601, -70*c + 74*c = 10*f - 56218. What is the smallest common multiple of 20 and f?
22500
Suppose h + 101*m - 202 = 99*m, 804 = 4*h + 4*m. What is the lowest common multiple of h and 160?
800
Suppose 2*u = -4*g + 202, -u - 5 - 237 = -5*g. What is the least common multiple of g and 7?
49
Let v = 102 - 92. Suppose 19 - 29 = -v*w. Let p(d) = 5*d**2 - d + 1. What is the smallest common multiple of p(1) and w?
5
What is the common denominator of 11 - (-8 - (-21068)/1080) and -89/18?
270
Let t be (8/4)/(-4)*-2. Let g be (-2036)/762 - t*-2. Let d = -57961/33528 - g. What is the common denominator of d and -99/8?
88
Calculate the common denominator of (-81)/((-15)/((2/20)/(14/210))) and 19/6092.
30460
Suppose -5*w = -9*s + 6*s - 706, 0 = -s + 5*w - 222. What is the common denominator of 161/30 and (s/8184)/((-3)/12)?
930
What is the lowest common multiple of ((-5798)/(-104))/(3/48) and 4014?
8028
Suppose 0 = 4*q + 3 - 27. Suppose 0*j = -j + q. Suppose 0 = -z - 4, a = -4*z - 6 - 9. Calculate the lowest common multiple of j and a.
6
Suppose -40*u = -267 - 267 + 54. Let s = 2070 - 1444. What is the smallest common multiple of s and u?
3756
Suppose 6*j + 3*g = 4*j + 57, g = -1. Let w(n) = -62*n**2 - n + 1. Let a be w(1). Let m = -59 - a. Calculate the lowest common multiple of j and m.
30
Calculate the common denominator of -61/28 and 13413/(-28728) - 360/240*(-8)/21.
9576
Suppose -56 = -5*t + 414. Find the common denominator of (-121)/(-66) - (0 + -6) and t/210 + 8/(-20).
42
Let y be (-11)/(-5) - (-4)/(-20). Suppose 0 = y*o + o - 36. What is the least common multiple of (0 - -24)*20*(-8)/(-128) and o?
60
Calculate the least common multiple of 1350 and ((-1833)/(-423))/((-3)/270*-3).
17550
Suppose 3*y + 42 = 5*q, 3*q - 4*q = -3*y - 6. What is the smallest common multiple of q/6*((-44)/(-12) + -1) and 52?
52
Let o = 3315/19 - 96619/570. Let c be (-11250)/1188 - 4/(-5). Let l = -95/11 - c. What is the common denominator of o and l?
30
Let o = 400 + -228. Let j be (-1 + 4 + o/(-24))*371. Let t = j - -1553. What is the common denominator of t and 73/18?
18
Let w = 1953 + -21423/11. Let b be (-3)/(-11)*(-109)/3. Let r = w + b. What is the common denominator of 29/9 and r?
99
Suppose -5*s + 2*s + 36 = 0. Let g(r) = -10*r**2 + 82*r - 8. Let a be g(8). What is the common denominator of 41/4 and 324/(-16)*a/s?
4
Suppose -64 = -3*o + 2*o. Let r = -320530 - -320658. What is the least common multiple of o and r?
128
Let h = -434 - -436. Suppose -2*z - 3*m = -18, 3*m + 7 + 11 = h*z. Calculate the lowest common multiple of 6 and z.
18
Let q(n) = 2*n**2 - 72*n + 348. What is the least common multiple of q(32) and 276?
276
Let b(l) = -38*l**3 - 7*l**2 - l - 3. Let r be b(-4). Let n = r + -37159/16. Find the common denominator of n and 63/356.
1424
Calculate the common denominator of (43/(-3870))/(8/(-309)) and 53/980.
11760
Let g = 9 + -6. Let j(k) be the