t p = -10808 + 11702. Calculate the least common multiple of p and 138.
20562
Let x = 247608 + -451884647/1825. What is the common denominator of -37/75 and x?
5475
Let r = -27/8 + 5/8. Let q = -57 + 150. Find the common denominator of r and (q - 6)*(-1)/(-4).
4
Let d = -333038/87 + 3828. Calculate the common denominator of 11/768 and d.
22272
Let i(u) = 73*u + 3213. Suppose 3*z + 84 = -z. Let n = z + 39. Calculate the smallest common multiple of n and i(-44).
18
Find the common denominator of (2 + -1 + 70/(-68))*(-66)/132 and 6/2363.
9452
Let u = 3129 - 109513/35. What is the common denominator of u and -69/20?
140
Let n = 2/127985 + 5629506/117362245. Calculate the common denominator of 71/21 and n.
2751
Let b = -60473/54 - -1118. Let d = 3/674 - -24419/3033. Find the common denominator of b and d.
54
What is the lowest common multiple of 36*(4 - (-30)/(-9)) and -9 + (-747)/(-81) - (-642)/27?
24
Suppose p + 4*b = 3*b - 24, 2*p + 5*b + 57 = 0. Let w be 36/p + 2 - 7902206/504. Let i = 15677 + w. Calculate the common denominator of 113/12 and i.
36
Let s be 3/(-5 - -2)*-200. What is the common denominator of 11/40 and (-2)/(-16)*(-2480)/s?
40
Let y(a) = -11*a**2 - 117*a - 58. Calculate the smallest common multiple of y(-10) and 4316.
12948
Let u = -5602 + 106496/19. Let c = u - 1275/38. Find the common denominator of c and 1/66*335 + 280/(-168).
22
Let h be -3 + 1292843/380245 + 6/(-15). Let i = h + -1673556/18175711. Find the common denominator of 93/4 and i.
956
Suppose 13*v = 27*v - 196. Suppose 0 = -5*g - 10, 5*c - 7*g + 4*g - 216 = 0. Calculate the lowest common multiple of c and v.
42
Calculate the least common multiple of (-2)/(-14) - 76/(-7) - 1 and -1 - -2 - ((-44)/11 - 15).
20
Calculate the common denominator of 57/200 and (-2 - (-728)/350)/(-6*104/636).
2600
Let o be -603 - (-2)/(-4)*(-48)/(-4). Let j = 633 + o. Calculate the lowest common multiple of 150 and j.
600
Suppose a - 40*x - 304 = -45*x, 1390 = 5*a - x. What is the least common multiple of a and 186?
558
Find the common denominator of -85/48 and (4/144)/((140/(-2490))/(-14)).
48
Let n = -352 + 400. Suppose 0 = n*j - 3211 + 907. Calculate the least common multiple of 66 and j.
528
Let x be 1/((2 - 1)/(-5)). Let h(y) = y**2 + 4*y + 7. Suppose 1589*m - 2292 = 1398*m. What is the smallest common multiple of h(x) and m?
12
Suppose 4*w + 2*c + 362 = 0, 6 = -c - c. Let f = w - -93. Calculate the common denominator of 73/6 and (805/(-84))/((-2)/f*1).
6
What is the common denominator of -37/11 and (22/(-3058))/((2 - (1 - -4))/(-61))?
4587
Let t = -24678 + 740417/30. Find the common denominator of (-59 - 3)*(26/24)/(-13) and t.
30
Suppose -230*n + 750 + 1780 = 0. What is the lowest common multiple of 1117 and n?
12287
What is the common denominator of 16/225 and 1/(-21648)*6772 - (-12)/33?
36900
Let j = 3002219/9646980 + 16/22969. Calculate the common denominator of -103/600 and j.
4200
Let g = 89327/130 - 8778/13. Let r(q) = -q**2 - 16*q - 14. Let n be r(-15). Calculate the common denominator of g and 464/24 - (n + 1 + -1).
30
Let p = 6765 - 6700. What is the lowest common multiple of 50 and p?
650
Suppose -t + 3*i - 37 + 129 = 0, 5*t = -5*i + 360. Let o = t + -55. Suppose -36 + 124 = 4*m. Calculate the least common multiple of m and o.
22
Let v = -7831097653/30672765 - 4/2044851. Let l be (3204/(-60))/(33/(-42) - -1). Let k = v - l. Calculate the common denominator of k and -49/59.
531
Let g(k) = -27*k**2 - 15 - 3 + 6*k**3 - 5*k**3 + 51*k - 1. Calculate the least common multiple of g(25) and 15.
30
Let r be 2/4*(-110)/(-11). Let m be (-5)/(r - (-860)/(-168)). Suppose -2*x + m = 12. What is the lowest common multiple of 12 and x?
60
Let v = -2408469/242 - -9952. What is the common denominator of -49/374 and v?
4114
Let t = -3259/29998 + -36/283. Find the common denominator of -1*51/(-15) + -3 - (-8424)/(-960) and t.
424
Let y = 15 - 10. Suppose 0 = -y*h + 257 + 38. Suppose 3*f - h = -23. What is the least common multiple of 24 and f?
24
Suppose 5*g - x - 181 = 0, 0 + 3 = -3*x. What is the smallest common multiple of g and (-5 - 13)*(-17 + 14)*1?
108
Let v be ((-5)/2)/((-4)/(-8)). Find the common denominator of 599/(-105) + (-54)/126 and 1 - (25/(-3))/v.
15
Let z(y) = -15*y + 747. Calculate the least common multiple of 1424 and z(45).
12816
Suppose 4*t + 4*l - 24 = 0, 5*t - 2*t + 4*l - 14 = 0. Let v(f) = -77*f - 1983. What is the least common multiple of t and v(-31)?
2020
Suppose 5*k - 256 = 3*z + 67, -2*k + 114 = -5*z. What is the smallest common multiple of 23 and k?
1541
Suppose -4*a = 408 - 536. Calculate the lowest common multiple of 2 and a.
32
Let q be 2 - (36/(-33))/((-2)/11). What is the common denominator of (-2812)/(-220) - (q/22)/(-1) and -57/236?
1180
Calculate the common denominator of 9/3 - (354/160 - 65/(-130)) and 67/456.
4560
Let r = 103 - 27. Calculate the least common multiple of r and ((-9622)/136 + 72)*108/15.
684
Let t be (1475/(-10))/5*2. Let j = 61 + t. Suppose -j*o + 112 = -72. What is the least common multiple of 18 and o?
828
Let t = 1/5546 - 33721/2467970. What is the common denominator of t and -107/50?
4450
Let b = 212/303 + -3893/16968. Calculate the common denominator of 27/200 and b.
4200
Suppose -419 - 13 = -3*w - 5*f, -2*w = f - 288. What is the least common multiple of w and 96?
288
Let z = -689222801/936 - -736349. Find the common denominator of z and -155/702.
2808
Let o(n) = n**2 - n + 18. Suppose 15 = -15*v + 13*v - 5*t, -3 = -3*v + t. Suppose 228 = -v*j + 6*j. Calculate the smallest common multiple of o(0) and j.
342
Let c(b) = 13*b + 33. Let x be c(11). Let w be (27/(-18))/((-3)/x). Find the common denominator of 0 + 4/(w/(-51)) and 85/4.
44
Suppose 2*f - 4*b - 6 = -5*b, 0 = 5*b. Suppose 0 = -2*n - 2*d + 42, f*n + d = 5*d + 84. What is the least common multiple of n and 63?
504
Find the common denominator of 734/192*-4 + 10 and -3/824.
2472
Let i = 28 + -30. Let z = 6 - i. Calculate the smallest common multiple of (-5)/(-20) - (-46)/z and 20.
60
Find the common denominator of 21/(-3) + 390/55 and 4/647.
7117
Suppose -10*o + 7*o + 18 = 0. Suppose 2*h + 6 = -2*t, 5*h + 4 + 11 = 0. Suppose -2 = -g + 4*m + 18, -m - 4 = t. What is the lowest common multiple of g and o?
12
Let r = -4057/1770 + -87/59. What is the common denominator of r and -1/2364?
11820
Suppose -2*f + 3291 = 3*u, -4*u + 0*f + 4388 = -f. Let z = -26339/24 + u. Let p = -163684/33 - -4961. Find the common denominator of p and z.
264
Let k = -12 - -18. Calculate the common denominator of k/(-9) - 134/(-36) and (2882*(-14)/(-924))/(-2).
18
Let x(b) = -2*b**2 + 26*b - 1. Let t be x(13). Calculate the common denominator of -49/16 and 19/t*(-1)/(-58).
464
Let p = -3/9433 - -122911/886702. Let j = 2673/94 - -50/47. Find the common denominator of j and p.
94
Let a = -22562 + 22632. What is the lowest common multiple of a and 721?
7210
Let g = 1/3856 - 44355/42416. What is the common denominator of g and (-123)/(-6)*(-6)/(-20)?
220
Let b be (-1)/(-2) + 258/(-4). Let v = -36 - b. Suppose i + i = v. Calculate the smallest common multiple of i and 10.
70
Let b = 9 - 7. Suppose 0*y - 3*y = -b*q - 345, 0 = 4*q. Let p = y - 848/7. Find the common denominator of p and -49/3.
21
Let g(s) be the third derivative of 487*s**4/8 + s**3/3 - 11*s**2. Let q be g(3). Let k = q - 43891/10. Find the common denominator of 65/18 and k.
90
Let b be (-3756)/(-10)*(-40)/(-6). Let f = 6179908613/2450238 + -2/1225119. Let v = b - f. What is the common denominator of -81/22 and v?
66
Suppose k - 3*l - 1307 = 0, -2*k = 6*k - l - 10364. Calculate the lowest common multiple of k and 1.
1295
Let r be 15/(-2)*288/20. Let m = -106 - r. What is the smallest common multiple of 3 and m + (-6)/12*-82?
129
Let w = -169325/18 - -9408. Calculate the common denominator of w and 178/4*(-3)/108.
72
Let u be (-290)/(-100) + (3 - (-116)/(-40)). Suppose 0 = -u*i + 275 + 73. Calculate the lowest common multiple of i and 48.
1392
Let l = -945 + 960. Let z be (-2)/8 + (-195)/12. Let a = l + z. Find the common denominator of a and -44/23.
46
Suppose 0*q = -4*q - 5*u + 697, 2*q - 5*u - 371 = 0. Suppose -q*b + 172*b + 576 = 0. What is the lowest common multiple of 44 and b?
1056
Suppose 2*c + r = 95, 8*r - 235 = -5*c + 3*r. What is t