. What is the least common multiple of y and 319?
1595
Let u = -2231 + 40147/18. Find the common denominator of 68/9 - (-32)/24 - 4 and u.
18
Let i(b) = b**3 + 4*b**2 - 5*b - 4. Let q be 48/(-27) + 4/72*-4. Calculate the least common multiple of 20/(q*(20/8 - 3)) and i(-4).
80
Let n(f) = 11*f**3 + 22*f**2 - 41*f - 4. What is the least common multiple of n(2) and 30?
90
Suppose k - 37 = -3*z, 0 = -13*z + 9*z - 3*k + 51. What is the least common multiple of (20/(-75) + 8/z)*70 and 3?
84
Let n(m) = -2*m**3 + 27*m**2 - 21*m + 154. What is the least common multiple of n(13) and 90?
450
What is the common denominator of -163/4182 and (-2 - 33/(-24))*1334/345?
8364
Let w be 12/30 + (-38)/(-5). Let o be w/((-4)/(-12) - 1). What is the smallest common multiple of 21 and 92/14 + o/(-28)?
21
Suppose -4*c - 2*j = 6, 0 = -0*c + 3*c - j + 2. Calculate the lowest common multiple of (16 + c)/(3/6) and 27.
270
Let r = 73640714/803 + 7617544/73. Let a = r - 78919981/396. Let d = a - -3235. What is the common denominator of d and 5/32?
288
What is the least common multiple of 828/(-30)*(9 - 29) and 2392?
7176
Let t be 546/(-27) + 2/9. Find the common denominator of 1/80 and 6/(-18)*-1*(-666)/t.
80
Let c = -523 - -521. Find the common denominator of (c - -1) + (-2040)/672 and -57/88.
616
Suppose 3*k + 942 = -3*d, 9*k + 1281 = -4*d + 10*k. Let h = 330 + d. What is the lowest common multiple of h and 9?
99
Let b = -77547/322420 - -59/6860. Calculate the common denominator of -151/282 and b.
1410
Let t = -17661751/297 - -59467. Find the common denominator of -55/162 and t.
1782
Let l = -16 - -11. What is the common denominator of 6/27*-3 - 1055/(-30) and l - -2 - 33/18?
6
Let a(m) = 51*m**3 - 8*m**2 + 8*m + 6. Let u be a(2). Let b = u + -384. Let r = 0 + 2. Calculate the lowest common multiple of r and b.
14
Let x = -372075 - -887026817/2384. What is the common denominator of -85/2384 and x?
2384
Let c(b) = -10*b + 32. Let m be c(-12). Let x = 218 - m. Let w(v) = -9*v - 84. What is the least common multiple of w(-10) and x?
66
Let h(f) = f**2 + f - 5. Let g = -76 - -92. Suppose -97 = -g*a + 63. Calculate the least common multiple of h(-4) and a.
70
Let v(g) = 3*g + 17. Let b be v(-7). Let j be (-61985)/16 + (-16)/b. Let p = 3868 + j. Find the common denominator of p and -31/11.
176
Let r = 1560289/320 + -4876. Find the common denominator of r and -145/24.
960
Calculate the least common multiple of ((-8)/(-18)*-3)/(4/(-6)) and 178.
178
Let n(r) = -r**3 - 9*r**2 - 14*r - 17. Let y be n(-6). Let w(c) = 11*c - 4. Let z be w(-4). Let b = y - z. Calculate the lowest common multiple of 4 and b.
28
Let x(u) = u**2 - 10*u + 60. What is the smallest common multiple of x(-14) and 594?
1188
Let o(a) = a**3 - 2*a**2 + 35*a + 2. Let t be o(-7). Find the common denominator of 67/342 and (19/t)/((-1)/267).
684
Suppose 0 = 59*g - 567 - 64 - 77. Calculate the least common multiple of 2840 and g.
8520
Calculate the common denominator of -5/117 and (10 - (-1570)/(-156))*57.
234
Let r(m) = -34*m**3 - 2*m**2 - 6*m - 4. Calculate the lowest common multiple of r(-1) and 16.
272
Let t be ((-48)/14)/((-1)/14). What is the common denominator of -121/246 and 4/t*1/((-5)/(-159))?
2460
Let i = -930 - -1098. Find the common denominator of 11/192 and 2/(-6) - (-147)/i.
192
Let y be 1680/(-36)*(-9)/(-3). Let q = y + 156. What is the smallest common multiple of q and 164?
656
Let n = 1/2135 - -33727/12810. What is the common denominator of ((-4)/(-30))/(2/41) and n?
30
Let j be (3 - (-13)/(-3))/(2/(-3)). Let z be ((-4)/(-12))/(j/348). Suppose 0 = -11*m + z + 19. What is the lowest common multiple of 4 and m?
28
Let a(b) = b**3 - 3*b - 2. Let s be (-3)/6 + 5 - 1/(-2). Suppose -s - 3 = -i. What is the lowest common multiple of i and a(3)?
16
Let x = -123518859 - -2964867839/24. Let m = -17296 + x. Find the common denominator of m and 107/60.
120
Suppose -3*u + 5 = 5*k + 2*u, 5*k + 4*u = 10. Suppose 0 = -k*d - 19 + 115. Calculate the lowest common multiple of (-4)/(-6) - (-56)/6 and d.
80
Let b(x) = -49*x. Let g be b(-1). Let s = -49 + g. Suppose -4*p + 79 = 5*w, -4*w - p + s*p = -61. What is the least common multiple of w and 1?
15
Let y = -278 + 423. Let n = -121 + y. Calculate the smallest common multiple of 57 and n.
456
Suppose 0 = 4*o + 4, 2*m + 3*o = 5*o. Let b be m/(-2)*(85 + (-3 - -8)). What is the lowest common multiple of 10 and (-24)/(-5)*b/12?
90
Let y(u) = -46*u + 22. What is the least common multiple of 20 and y(0)?
220
Let u = -115 + 249. Calculate the common denominator of 11/14 and 5 - (5 - u/(-12)).
42
Let p = -30271/2475 - -134/11. What is the common denominator of 133/180 and p?
900
Suppose 139339 + 139961 = 175*o. Calculate the least common multiple of 7 and o.
1596
Suppose 3*i - 215 = 955. Calculate the common denominator of (i/24 + 1)*2/14 and (-7)/14 - (-38)/16.
56
Let m = -14420 - -17875. What is the smallest common multiple of 10 and m?
6910
Suppose 53 = -5*h + 23. Calculate the common denominator of ((-43)/h)/((-50)/(-20)) and -7/15.
15
Let z = 30273979/358 + -84564. What is the common denominator of z and -87/8?
1432
Suppose -9*v = -v - 80. Calculate the common denominator of 1869/1248 - v/65 and 43/10.
160
What is the least common multiple of ((-8)/(-28))/(13/3276) and 198?
792
Suppose -2*f - 5*d = -70, 4*f - 4*d = -0*d + 112. What is the smallest common multiple of 64 - (-5)/(-10)*-2 and f?
390
Suppose 335 = -2*g - 3*q, 45 = -g - 2*q - 122. Let i = 12595 + -62117/5. Let r = i + g. Find the common denominator of r and -41/9.
45
Let a be -38*((-11101)/40 - -1). Let u = a - 10503. Find the common denominator of u and 8/((-5120)/2832) - -4.
40
Suppose 2547*p + 192 = 2553*p. Let w be (6/(-4))/(1/(-2)). Suppose 0 = -h - 3*x + 21, 5*x + 2 = 5*h - w. Calculate the least common multiple of h and p.
96
Let g(c) = -96*c + 4734. Calculate the smallest common multiple of 2646 and g(49).
13230
Suppose 0 = -b - 4*z + 6, z + 8 = -z. Suppose 2*y + 5*d = 3*y - 7, -5*d - 103 = -4*y. What is the smallest common multiple of b and y?
352
Let m(x) = -15*x**3 - x**2 + 1. Suppose 3871*t - 3874*t = -54. What is the smallest common multiple of m(-1) and t?
90
Suppose 3*h - 3*n - 11 = 2*h, 0 = n + 3. Let i be h - 73 - ((-3 - -7) + -5). Calculate the common denominator of (5 - (-63)/i)*(-10)/(-4) and 93/14.
28
Let v be (24/(-8) + -74)/1. Find the common denominator of 137/60 and (-131)/(-78) + (-11)/(v/(-21)).
780
Calculate the common denominator of (-12)/16 + (-766)/(-880) and -69/220.
440
Let u(w) = -w**2 + 8*w - 5. Let y be u(7). Suppose -y*i + 24 = -4*i. What is the smallest common multiple of (-69)/i + (-6)/8 and 7?
35
Suppose -6*w + 237 = 93. Suppose -26*s + w*s = -3*m + 17, -2*s - 32 = 2*m. What is the common denominator of (-3)/(876/194) - -1 and s?
146
Let c = -13747275551/770754798 - 398/654291. Let p = -2/589 - c. Calculate the common denominator of p and -67/54.
54
Let k = -2237 + 13493/6. What is the common denominator of k and 35/984?
984
Suppose -2*u = -3*g - 2841, -5738 = -5*u + 5*g + 1352. What is the smallest common multiple of u and 3?
1413
Let q = 35 + -50. Let t = q - -26. Calculate the smallest common multiple of t and (-5)/(-10) + 5/2.
33
Suppose 3*i + 5*y - 3 + 2 = 0, i = 3*y + 5. Calculate the common denominator of (-84)/(-567)*(-321)/8 and i/7 + (-580)/168.
18
Suppose 0 = -5*v + r + 29, -4*v + 9*v - 13 = -3*r. Suppose 512 = v*h - h. What is the smallest common multiple of 16 and h?
128
Let n be (1 + 9/(-6))*-4. Suppose -525 = 3*x + n*x. Let t = 108 + x. What is the lowest common multiple of 45 and t?
45
Let k be (-140109)/(-6264) + (-19 - -16). Let f = -583/29 + k. What is the common denominator of f and -131/54?
216
Suppose 0 = 92*r - 93*r, -351 = -3*b + r. Calculate the smallest common multiple of b and 2.
234
Suppose 59500 = 8*u - 4*u. Let x = -223438/15 + u. Let i = x + 1159/60. What is the common denominator of i and 55/2?
20
Let u(z) = z + 7. Suppose -5*w = v - 34, 6*v - 10*v - 5*w + 61 = 0. What is the least common multiple of 62 and u(v)?
496
Suppose 81 + 87 = 3*u. Calculate the lowest common multiple of 40 and 30/35*u/12.
40
Let v be ((-1130475)/950)/(18/(-74)). Let o = -4892 + v. Find the common denominator of o and 47/2.
114
Let g = 26 - 21. Suppose -68 - 112