 1906279/11748. What is the common denominator of 139/1602 and y?
3204
Suppose -5*o + 58 = -7. Suppose 0 - 10 = -2*i + s, 4*s + o = -i. Find the common denominator of 61/22 and (-5 + i)/(201/(-79) + 3).
198
Let m(f) = -2*f - 19. Let w be m(-6). What is the smallest common multiple of 0 + (1 - (-1 - 30)) and 5 + w + 1 + 17?
32
Let r(j) = -32*j + 2845. Let u be r(89). Let v = -34 - -66. Calculate the common denominator of 39/7 and (2/(-636)*u)/((-1)/v).
371
Let t be (-6)/12*-8*-2. Let f = 4 - -1. What is the lowest common multiple of 3 + 120/(18 + t) and f?
15
Let h(m) = 2*m**3 - 13*m**2 + 15*m + 41. Calculate the least common multiple of 63 and h(9).
5229
Suppose 7*m = 3*m. Suppose -34 = -3*q - 4*r - 12, m = -2*r + 8. Find the common denominator of 115/18 and 1370/(-120) + q + -1.
36
Let i(j) = 8*j + 6. Let u be i(1). Let a(n) = -n**2 + 12*n + 32. Let h be a(u). Suppose -h*p + 0 = -16. Calculate the least common multiple of 36 and p.
36
What is the common denominator of ((-46)/(-120) - (-35)/(-140))*(-621)/3192 and 17/2660?
2660
Let g(a) be the third derivative of -1/24*a**4 + 5/2*a**3 + 0 - 12*a**2 + 0*a. Calculate the least common multiple of 24 and g(6).
72
Let m = -1981 + 2043. Calculate the lowest common multiple of m and 64.
1984
Let f be (-20)/16 + (-263439)/(-110720) + -1. Let g = 21/1730 - f. Find the common denominator of g and -61/120.
1920
Suppose -188*p - 140 = 5*s - 187*p, -3*s = 5*p + 40. What is the common denominator of 4/14 + (-59)/917 and s?
131
Let p = 394 - 388. Suppose p*m - 15*m + 36 = 0. What is the lowest common multiple of 32 and m?
32
Let f be (10 + (1 - 3))/((-2)/4). Let h be 4/f + (-1)/(-4). Suppose h = 18*d - 24*d + 36. What is the smallest common multiple of d and 5?
30
Let k(a) = -3*a - 7. Let b be k(-7). Let y be b/1 + (6 - 9). Suppose 16*i = y*i + 20. What is the lowest common multiple of i and 18?
36
Find the common denominator of ((-84)/24 + 6032/1272)*3/(-40) and 34/9.
7632
What is the common denominator of 55/18 and 75/(-5) + 380397/25308?
684
Let g be 2/1 + -6 + -4. Let w(v) = -2*v - 13. Let a be w(g). What is the common denominator of 19/2 and 456/27*(a + (-6)/4)?
6
Let q be (3 + 2)*(3 + -2). Suppose 10*s + 30 = q*s. What is the common denominator of (-115)/s*9/18 and -65/16?
48
Let g = 18517/40 - 463. Find the common denominator of (-219)/60 + (-1)/5 and g.
40
Let y(m) be the third derivative of -m**5/60 + m**4/8 + 17*m**3/6 + 2*m**2. What is the smallest common multiple of 1 and y(5)?
7
Suppose -55*h + 5645 = -1644 - 7011. What is the lowest common multiple of h and 2990?
5980
Let n(z) = z**3 + 6*z**2 - 2*z + 3. Suppose 3*l + 39 = 2*c, 24 = 4*c - 2*l - 42. What is the lowest common multiple of c and n(-6)?
15
Suppose 3*d - 2027 = -5*g + 570, 5*d = -4*g + 2075. Calculate the smallest common multiple of g and 416.
2080
Let m = 3314 - 3296. What is the lowest common multiple of 42 and m?
126
What is the smallest common multiple of 640 and 5/2*(13824/9)/8?
1920
Suppose 5*g + 5*s = 195, 0*s = 2*s + 2. Suppose -20 = -x + o - 4*o, 3*x + o = 44. Find the common denominator of g and (x/56)/(2/(-41)).
8
Suppose 3272*r - 3278*r + 54 = 0. Suppose 0 = -r*j + j + 616. What is the least common multiple of j and 88?
616
Let r(x) = -8*x**3 - x**2 - 223*x - 642. What is the smallest common multiple of 190 and r(-3)?
22230
What is the lowest common multiple of 512 and 455 + (-80)/8 + 3?
3584
Suppose 5*y = 2*s - 19, -3*s + 45 = -4*y + 2*y. Let d(k) = k**3 - 19*k**2 + 38*k + 32. What is the smallest common multiple of 40 and d(s)?
200
Let v = -8887288 + 177818657/20. Let z be 3645 - (1 + 1 - 1). Let q = z - v. What is the common denominator of -21/10 and q?
20
Let i(l) = 2*l + 18. Let n be i(-10). Let w be (23/n)/(2 + 162/(-80)). Let r = -10135/22 + w. Calculate the common denominator of r and -103/22.
22
Let u = 9847/2646 - 176/49. What is the common denominator of 35/822 and u?
7398
Suppose 2*z - 56 = -2*n + 128, 3*z + 5*n = 260. What is the least common multiple of 15 and z?
300
Find the common denominator of (-4300)/134880*((-5)/50 - 0) and -77/18.
40464
Suppose 32*z + 1358 = 33*z. Suppose z - 197 = -27*h. What is the common denominator of h and 39?
1
Suppose -2*p + 5 = 57. Let k(w) = w**2 + 29*w + 81. What is the lowest common multiple of k(p) and 21?
21
Suppose 0 = -5*j + 25, -6*u + 7*u = -2*j + 52. Let o = u - 38. Calculate the lowest common multiple of o and 247.
988
Suppose 5*w + 3*u = 2874, 2*w - 97 - 1065 = 5*u. Calculate the least common multiple of 48 and w.
576
Calculate the common denominator of -20/667 and ((-2)/5)/((-38456)/3135)*130/12.
5336
What is the smallest common multiple of 1936 and (-34 - -16) + 42 + 5300?
21296
Suppose -3*t - 18*s + 82 = -16*s, 0 = -2*t + 4*s + 60. Calculate the smallest common multiple of t and 340.
2380
Suppose -2*o + 3*s - s = -404, -4*o + 792 = 4*s. Let w(m) = m**2 + 22*m + 106. Let u be w(-7). What is the common denominator of 26/7 and u + 0 + (-175)/o?
56
Let l = -141 + 30. Let s be (-40)/12*9/l. Let g = s - 1732/111. What is the common denominator of -75/8 and g?
24
Let q be (-2118)/4*-2 - (-167)/(-1670). Let l = -1062 + q. Calculate the common denominator of l and 19/16.
80
Let b = -661 + 448. Let h = 241 + b. What is the lowest common multiple of 44 and h?
308
Suppose s + 28 = -s. Suppose -4*n = l - 5, -4*l - 3*n = 2*n - 53. Let z = l + s. Calculate the smallest common multiple of z and 30.
30
Find the common denominator of ((-777)/(-666))/(14/54) and 9/148.
148
Let x = 2296 + -4545/2. Calculate the common denominator of -47/1639 and x.
3278
Suppose -319*c - 2079 = -658*c + 318*c. Calculate the least common multiple of 135 and c.
1485
Let z = -4154 + 4242. Calculate the lowest common multiple of z and 1386.
5544
Let r = -15 - -45. Suppose a - r = -15. Calculate the lowest common multiple of a and 7.
105
Calculate the least common multiple of 7 and (-3)/(6/(-22)) + 1912 + -210.
11991
What is the common denominator of (-230)/(-207)*(-2 - 78/(-165)) and 2/8 + 201/396?
33
Suppose -12 = -10*x + 22*x. Find the common denominator of (-14499)/(-1782) + (x - -3) + -7 and 101/90.
990
Suppose 25*p - 404 = -9*p - 98. What is the least common multiple of 129 and p?
387
Let c(w) = 16*w + 2. Let s(g) = 3*g**2 - 4*g - 5. Let k be 4 + (-3 - (1 + -4)). Calculate the lowest common multiple of s(k) and c(1).
54
Let d = 48860 + -2736071/56. What is the common denominator of d and -93/52?
728
Suppose 4*i + 3*a - 190 = 0, 2*i + 2*a - 88 = 4*a. Let d = i - 69. Let w = -16 - d. What is the least common multiple of w and 19?
133
Let c = 151 + -43. Suppose 0 = -282*g + 33*g - 216*g + 9300. What is the least common multiple of c and g?
540
Let m be 6*5/10 + 0. Suppose 3*f + 2*c = 7, -12 = -f - 2*f + m*c. What is the smallest common multiple of 6 and ((-112)/(-7))/(2/f)?
24
Let g(f) = 4*f**2 - 30*f - 38. Let y = 12 + -4. Calculate the least common multiple of g(9) and y.
16
Suppose 0 = 4*j - 0*j + r, -2*r + 8 = 0. Suppose 99*l - 13894 - 624 = -938*l. Calculate the lowest common multiple of ((-64)/(-6))/(j/(-3)) and l.
224
Find the common denominator of 52/17 and 349/40 - (-68)/170 - (1 + 2).
136
Let q(d) = 156*d + 1272. What is the lowest common multiple of 1998 and q(-8)?
7992
Suppose -15*y = -21746 + 72356. Let l = -26957/8 - y. Let x = 79/4 + -20. Find the common denominator of x and l.
8
Suppose -3*t + 3*q = -1 - 2, 0 = -q. Let f be (-18)/12*(0/t - -8). Calculate the common denominator of (50 - 3)/((-4)/(f/33)) and 19/41.
451
Let n = -21/25 - 303/175. Let j = 24 + -20. Calculate the common denominator of ((-1)/4)/(j/72) and n.
14
Let f = -8065218/258857 - -749578350691/13883536338. Let g = f + -2/26817. Find the common denominator of g and 385/(-30) + (-1 - 2).
6
Let y = -179612 - -213917816/1191. Find the common denominator of -143/6 and y.
2382
Suppose -313 = -4*s + 47. Suppose -5*g - s = -15*g. Calculate the smallest common multiple of g and 55.
495
Find the common denominator of 29/27 and (-29)/377 + 150132/2229552.
42876
Suppose -5*k - 5*g = -45, -4*k + k + 31 = 4*g. Suppose q + s = -19, k*q + s + 36 = 3*q. What is the common denominator of q/(-4) - 4 - (-933)/(-180) and -79/15?
15
Let q be (-26)/(-12) - -2*(-1)/12. Suppose 0 = 5*y - q*r - 16, -6*r = 5*y - r + 5. Find the common denomin