Let r be ((-66)/(-4))/(27/90). Suppose -5*m + 2*d + 46 = 0, -2*m + 5*d + r = 3*m. Calculate the smallest common multiple of m and 12.
24
Let b(s) = -s**2 + 11*s - 15. Let r be b(9). Suppose 2*f - 5 = -3*p, r*f - 6*f = -4*p + 1. What is the least common multiple of f and 7?
7
Calculate the least common multiple of ((-1105)/425)/(2/(-20)) and 26.
26
Calculate the common denominator of (0 + (-7)/28)*(-108)/14 and -115/42.
42
Find the common denominator of ((-7)/2)/(3 - 1) and 1 - ((-258)/(-84) - -6).
28
Let k be (6/(-4))/((-7)/(-1974)). Let w = k + 3821/9. Calculate the common denominator of w and -92/15.
45
Suppose -3*f + 0*g + 78 = -2*g, 26 = f + 2*g. What is the smallest common multiple of 169 and f?
338
Let c(s) = s**2 + 7*s + 2. Suppose 0 = 3*j - 7 + 1. Suppose -z - 9 = -j. Calculate the smallest common multiple of 4 and c(z).
4
Let a(u) = 16*u + 50. Let n be a(-6). Let q = n + 52. What is the least common multiple of 8 and q?
24
Let b = 98 + -56. Suppose -d = 4*j - b + 7, -j + d = -5. What is the least common multiple of j and 54?
216
Let i(r) = r**3 + 15*r**2 - 8*r - 21. Let l be i(-15). What is the common denominator of 23/15 and (1034/l)/((-4)/(-6))?
15
Let z = 259352243/1368 + -189585. What is the common denominator of 101/8 and z?
1368
Suppose -14 = 8*j - 38. What is the least common multiple of (-4)/(-24) + 70/12 + j and 3?
9
Calculate the common denominator of 91/218 and 8/(-36) - (-7 - 2344/(-792)).
2398
Let o = -2 + 2. Let g(d) = d**2 - d - 7. Let w be g(o). Let n(s) = s**2 + 7*s + 10. What is the least common multiple of n(w) and 10?
10
Let u = -10 - -15. Let i be ((-234)/15)/3*u. Calculate the smallest common multiple of (-2)/(-7) + i/(-7) and 4.
4
What is the common denominator of 2/7 + -6*(-136)/84 and -34/35?
35
Suppose -y = 246 - 0. Let u(a) = -3*a + 16. Calculate the least common multiple of u(-4) and y/(-15) - 4/10.
112
Suppose 3*y + 88 = 4*n, -5*n + 2*y + 105 = -3*y. Let g = -13 + n. Let t = 44 - 24. Calculate the smallest common multiple of g and t.
60
Let s = -9563/8190 - 107/182. Find the common denominator of s and -161/150.
450
Let n be (-3)/((-3)/1) + 83. Suppose -2*p + n = -5*o, 3*p - 15 = 2*o + 23. Calculate the smallest common multiple of 16 and o/((-6)/3) - -2.
80
What is the common denominator of -61/24 and ((-102)/(-162) - -4)/(22/3)?
792
Suppose -71 = -g + 3*v, -g - g = -3*v - 151. Suppose g = 3*w + 2*w. Let i = 82 + -76. What is the smallest common multiple of i and w?
48
Let u = 140 + -93. Let w = u + -32. What is the common denominator of -51/7 and w?
7
Let u be (-7722)/(-55230) - 3/21. Let n = u + -88069/11835. Calculate the common denominator of 237/21 + -1 + -2 and n.
63
Let m(t) = t**3 - 8*t. Let o be m(3). Suppose 4*p = 2*p + o*s + 36, -68 = -4*p + 5*s. Calculate the smallest common multiple of p and 16.
48
Let c = 3/352 - -10891/2464. What is the common denominator of c and -1/48?
336
Let o be -2*2/8 + (-244)/(-504). Let c = -5/9 + o. Find the common denominator of c and 29/11.
77
Suppose -2*p + 634 = 10*l - 8*l, -4*l = 2*p - 630. Calculate the least common multiple of p and 319.
319
Let z = 17786 - 28759. Let j be (7/6)/(3/z). Let n = j - -4269. Calculate the common denominator of 79/8 and n.
72
Let r = 128 - 101. Calculate the smallest common multiple of 27 and r.
27
Let x(m) = 12*m**2 + m. Let t(n) = n + 4. Let q be t(-2). Suppose -2*o - 2*o - 2*y + 4 = 0, 4*y + 4 = -q*o. Calculate the lowest common multiple of o and x(-1).
22
Let d = 2 - 1. Let p be -4 + (1/1 - -66). Suppose 7*h + 2*h = p. What is the lowest common multiple of d and h?
7
Suppose 6 + 23 = -p. Calculate the common denominator of (p + -1)*(-5)/(-16) and 0 + 73*(-3)/54.
72
Let m(g) = -2*g**3 + 21*g**2 - 20*g + 5. Let u be m(10). What is the common denominator of u/186 + 26/(-39) and -61/14?
434
Let q = 510 - 4574/9. What is the common denominator of ((-3762)/45)/(-11) + 4/(-3) and q?
45
Suppose -t + 6*t = -100. Let s be -7 + 7 + 10298/t. Let c = s - -2608/5. Calculate the common denominator of 19/3 and c.
30
Calculate the common denominator of (-5 + 704/36)/(4/6) and -48/89.
534
Let w = -24 + 7. Let m = -5 - w. Suppose 0 = -9*n + 11*n - m. Calculate the smallest common multiple of 14 and n.
42
Let d = 455 - 995. Find the common denominator of (-4)/6 - 33/d*14 and 25/12.
180
Find the common denominator of (-1068)/(-240) + (-2)/(-8) and -143/426.
2130
Suppose 5*c - 6 = c - 2*p, -5*p = 5. Let v be 6/(-62)*c/3. Let g = v - -469/62. What is the common denominator of g and -67/10?
10
Let p = -599134844/58621251 + -70/79111. Let h = p - -221/19. Calculate the common denominator of 55/27 and h.
351
Let t be ((-1)/2)/((-5)/20). Suppose -1 - 5 = r + 5*o, 3*r - t*o - 16 = 0. Suppose 7*b - r*b - 36 = 0. Calculate the lowest common multiple of 10 and b.
60
Suppose -54*a + 4*u = -49*a - 35, 5*u + 40 = 5*a. Let n = -3 + 5. What is the least common multiple of a and n?
6
Let a = -101 - -88. What is the smallest common multiple of 14 and (-1)/1 + (a - -16)?
14
Let m = 1/437640755 + 298593534321217/80088258165. Let d = m - 24717/305. Let p = d - 3645. Calculate the common denominator of -55/6 and p.
30
Suppose 2635*r = 2633*r + 48. Let f = -10 - -18. What is the smallest common multiple of f and r?
24
Let m be (-69)/6*-178 - 3. Let a = 44997/22 - m. Calculate the common denominator of -43/8 and a.
88
Let n(f) = -2*f + 51. Let v be (4 - 8)/(-16) - (-3)/(-12). Calculate the smallest common multiple of 24 and n(v).
408
Let x be -14 - (3 - (0 - -1)). Let y = -20 - x. What is the common denominator of 3/2 and 27/8 + (y - -4)?
8
Suppose 3*x + x + 36 = 0. Let s = 20 + x. What is the least common multiple of s and 4?
44
Let l = 1239/220 + -252/55. Let v = 301/4 - 55. Calculate the common denominator of v and l.
20
Let q = 474 + -446. Calculate the smallest common multiple of q and 32.
224
Suppose 2*b - 9 = 1. Suppose 0*i - 235 = -b*i. Find the common denominator of -1 - (-1)/(4/i) and 55/8.
8
Calculate the smallest common multiple of (9/(-3))/((55/90)/(-11)) and ((-6)/(-12))/(2/4).
54
Suppose -538 = -52*h + 502. What is the least common multiple of h and 60?
60
Calculate the lowest common multiple of -2 + (-3 - 2 - -8) and 100.
100
Let t = -124801/24 + 5194. Calculate the common denominator of t and -53/39.
312
Let j = 12971/1644 + 11/411. Find the common denominator of 63/22 and j.
132
Let y = -26 + 38. Let u = y - 11. Suppose -2*i + 5 = -u. Calculate the smallest common multiple of i and 1.
3
What is the common denominator of -1 - (43/(-6))/(39 - 30) and 67/612?
1836
Suppose -3*s + 237 = 21. Suppose -24 = -5*h - k + s, 5*h + 5*k - 80 = 0. Find the common denominator of -23/9 and h.
9
Suppose 27 - 7 = -10*h. What is the common denominator of h - 0 - 2/(-23) and 26/5?
115
Suppose 3970 = 4*d + 754. Let f = d - 1513/2. Calculate the common denominator of f and (-776)/6*2/(-32).
12
Let n be (-12)/(-18) - 14/(-6). Find the common denominator of (-274)/12 - n/9 and -62*3/8 + -2.
12
Let u(r) = 7*r**3 - 6*r**2. Let h be u(5). Suppose -w - 137 = -4*x, 4*w + x = -h + 109. Find the common denominator of 6/(-9)*w/(-66) and -22/9.
99
Let g be (-2 + (3 - -1))*-8. Suppose -n - 6*z = -2*z - 2, 5*z = -4*n + 52. What is the lowest common multiple of n and g/(-10)*15/2?
36
Suppose -5772 = 59*p - 72*p. What is the lowest common multiple of 2 and p?
444
Suppose 0 = -8*k + 14*k + 96. Let t = k - -46. Calculate the lowest common multiple of 9 and t.
90
Let q = -695 + 5575/8. Suppose 2*a + 650 + 3490 = 5*b, -4*a - b - 8324 = 0. Let w = 4245/2 + a. Calculate the common denominator of w and q.
8
Let c = 21 + -8. Suppose 5*f - c = j, -3*j - 13 = -0*f - 2*f. Calculate the smallest common multiple of ((-66)/(-18) - 3)*12 and f.
8
Suppose -2*p - 15 = 5*b, -4*b - 9 = -p + 2*p. Let h(v) = -9*v - 29. Calculate the lowest common multiple of h(p) and 16.
16
Suppose -5*i = -3*m - 2*m + 195, -3 = 3*m. Find the common denominator of 68/33 and (-436)/i - (-10)/(-2).
330
Suppose -2*q - 2*q = -12. Suppose q*m - 24 = -m. Suppose m*y - y = -190. Calculate the common denominator of y and -3/7.
7
Let f = -6245 + 49881/8. Find the common denominator of -79/6 and f.
24
Let i = -4239955/5358 - -2374/3. Let m = 52669/10716 + i. Calculate the common denominator of -25/33 and m.
132
Suppose d - 2*d - 35 