-2*j + 71 = -5*q. What is the lowest common multiple of j and 36?
396
Find the common denominator of (280/24 - 11)/((-28)/(-81)) and -27/322.
322
Let l be (-3)/(81/46536) - 4. Let y = l + 341093/198. Find the common denominator of 103/18 and y.
198
Let y be (16*(-2)/12)/((-4)/6). Suppose 0*s - 4*t = -s + 8, 0 = 5*s - y*t - 56. What is the least common multiple of s and 27?
108
Suppose -39*p = -38*p - 4. What is the least common multiple of 80 and p?
80
Suppose 2203 - 11591 = 2*b. Let w = b - -46823/10. What is the common denominator of -15 and w?
10
Let w be 2*(-1)/(-2)*11. What is the common denominator of 40/(-420) + (-5)/((-2310)/(-796)) and (w/5)/((-3)/9)?
55
Let t = -13939 + 3010829/216. What is the common denominator of t and 83/16?
432
Let i = 25057/60 - 1235/3. What is the common denominator of i and -15/44?
220
Let w = -74414/31 + -730809/310. Let i = -4754 - w. Let v = 1558/3 - 17054/33. Calculate the common denominator of i and v.
110
Let n be (-651351)/21 - 2/7. Let b = 744515/24 + n. Find the common denominator of b and -163/30.
120
Let x = -30 - -42. Suppose -f - 19 + 12 = -4*r, 4*f - 4 = 0. What is the smallest common multiple of x and r?
12
Let h(o) = o**2 - 6*o - 1. Let y be h(10). Let q = 46 + y. What is the common denominator of 9/(-21) + q/(-210) and -2/7?
42
Suppose 234 + 32 = 7*z. What is the smallest common multiple of 1 and z?
38
Suppose 5*f - 2*f - 9 = 0. Let t = 814 + -811. Calculate the least common multiple of f and t.
3
Calculate the common denominator of (258/(-16))/((-345)/(-92)) and 61/2.
10
What is the common denominator of -5/44 and ((-557)/(-55) - 9) + (-4)/10?
44
Let u(j) = -4*j. Let w be u(-1). Suppose -12 = p + w. Calculate the common denominator of (2/42)/(p/(-600)) and -11/18.
126
Let x(s) = 4*s + 58. What is the lowest common multiple of x(-10) and 36?
36
Suppose -5*n + 4785 = 3*v, 4*v = 2*n - n - 980. Let s = 112/3239 + -31021023/32390. Let l = n + s. What is the common denominator of l and -87/16?
80
Let m = 35905 + -111322/3. Let o = m + 1188. What is the common denominator of o and 3 - -1 - (-459)/(-216)?
24
Let k = 59649/11690 + -3/1169. Find the common denominator of -149/6 and k.
30
Let n = -9 + 7. Let k be 260/(-12) + n/(-3). Let l = 41 + k. What is the least common multiple of l and 16?
80
Let u be -1*5*(-1 - 1). Calculate the common denominator of (13/u)/((-32)/(-60)) and (-6)/3 - 25/(-70).
112
What is the common denominator of -97/150 and (((-2)/4)/1)/(306/(-4216))?
450
Calculate the common denominator of 71/118 and (6 + 12 + -4)*51/36.
354
Let h(a) = -a**3 - 3*a**2 + 7*a + 7. Let k be h(-4). Calculate the smallest common multiple of 9 and 74/8 - k/(-20).
9
Suppose -14*a + 502 = 40. What is the smallest common multiple of a and 462?
462
Let r(p) = p**3 + 8*p**2 - 2*p - 1. Let z be r(-8). Find the common denominator of 53/27 and ((-10)/18)/(-2 + 24/z).
54
Suppose 0*f = -2*f + 180. Suppose -5*l - 4*d = -758, 5*l + 5*d = l + 610. Let g = l - f. What is the smallest common multiple of g and 20?
60
Calculate the common denominator of ((-8408)/(-560) - 7) + (-1)/(-5) and 3 + (-123)/(-12) + -1.
28
Find the common denominator of ((42/35)/(-6))/(6/725) and (-27)/19 + (-1 - -1).
114
Suppose 72*h - 71*h - 103 = 0. What is the smallest common multiple of h and 3?
309
Find the common denominator of 26/77 and 2/(-3)*747/(-420).
770
Let r = 24112 + -5979787/248. Let s = r + -12717/1240. Calculate the common denominator of -46 and s.
10
Suppose 7*b - 2*b - 2*a - 36 = 0, b + 3*a = 14. Suppose o - 6*o - 55 = 0. Let q = -5 - o. Calculate the least common multiple of b and q.
24
Let r(l) = -4*l - 16 + l + 4*l + 9. Suppose -5*v - 2*k - k = -16, -4*k + 14 = 3*v. What is the lowest common multiple of v and r(10)?
6
Let j = -1108 - -2134. Let c = j - 4189/4. What is the common denominator of ((-99)/(-30) + -3)*(-2575)/(-45) and c?
12
Suppose 0 = -2*f + h + 3*h + 20, -f - 5*h = 18. Let t be (-9)/f*(7 - 1). Let u = 45 + t. Calculate the lowest common multiple of u and 6.
18
Find the common denominator of (260/3656)/((6 - -2)/(-8)) and -89/4.
1828
Suppose 3*w - 3*v + 0*v = -24, -29 = 3*w - 4*v. Suppose -29*f - 57 = -32*f. Let l = w + f. What is the least common multiple of l and 22?
176
Suppose 3*b - 7 = -4*t, 2*t - 4*t + 11 = -b. Let d(n) = -n + 10. Suppose 0*x + 36 = 6*x. What is the lowest common multiple of d(x) and t?
4
Let w(s) = -s**3 - 6*s**2 - 14. Let z be (-14)/3*(-39)/(-26). Let p be w(z). Find the common denominator of 34/11 and 305/p + 8/(-2).
77
Let l = -931/2 - -7067/15. Find the common denominator of 57/35 and l.
210
Let b(n) = n**2 - n. Let f(g) = -9*g**2 + 5*g - 2. Let v(u) = -2*b(u) - f(u). Let y be v(3). Calculate the common denominator of (-16)/56 + (-47)/y and -47/3.
24
Find the common denominator of (-11)/(-7) + -2 - 5754/980 and 6/30*625/6.
30
Let u = 35333637431/1393476 + -4569/66356. Let j = u + -25360. Find the common denominator of j and -77/2.
42
Let f = 10300/7 - 1474. Suppose 5*c + x - 115 = -12, -4*c - 5*x + 74 = 0. What is the common denominator of c and f?
7
Suppose 0 = 33*s - 83*s + 300. Calculate the least common multiple of 331 and s.
1986
Suppose 5*d + 2*r = 81, 0 = -4*d - d + 3*r + 66. Suppose -2*a + 2*t = -48, 7*t - 27 = -2*a + 2*t. What is the smallest common multiple of a and d?
105
Suppose d - 4907 = -4*n, 0 = 23*d - 26*d - 15. What is the smallest common multiple of 10 and n?
6140
Let u = 71935/626031 + -10/4707. Let h = u - -8909/1197. What is the common denominator of (-5)/(-12)*102/(-4) and h?
72
Suppose -3*z + 19 = -0*z + 5*w, -5*w = -4*z + 2. What is the common denominator of -99/20 and (z - (-736)/(-228))*(-7)/(-2)?
1140
Let b(c) = -4*c**2 + 6*c + 2. Let f(a) = -a**2 + a. Let g(y) = b(y) - 5*f(y). Calculate the least common multiple of 180/(-3330) - 668/(-37) and g(-4).
126
Suppose v = 5 + 2. Let j(l) = -l**3 + 12*l**2 + 0*l**3 - l - 114 + 131 + 0*l**3. Calculate the least common multiple of v and j(12).
35
Let t(n) = 3*n**3 + 2*n**2 - n + 2. Let d be t(-2). Calculate the least common multiple of d + 17 + (-2)/(-2) and 5.
30
Let w = -80 - -60. Let v = w + 38. What is the least common multiple of v and 18?
18
Let f = 864 + -814. What is the lowest common multiple of 100 and f?
100
Suppose 0 = 5*q - 34 + 9. What is the least common multiple of 7 and q?
35
Suppose 0*d = -5*d + y + 71, -3*y = 2*d - 42. What is the common denominator of 52/17 and 149/20 + (-3)/d?
68
Let k = 1015/702 + 16/27. Find the common denominator of 31/2 and k.
26
Calculate the common denominator of (-112)/(-24) + -5 + (-249)/(-180) and -47/232.
1160
Let m(h) = -13*h + 512. Suppose -g - 45 = -4*g. What is the lowest common multiple of m(39) and g?
15
Let b = 4391205 + -913373659/208. Let w = b + 3/208. What is the common denominator of 65/2 and w?
2
Find the common denominator of -19/63 and (78 - 79)/((-14)/46).
63
Let g = 51 + -42. What is the lowest common multiple of 42 and g?
126
Suppose 3*m + 1393 = 5*i, -6*i + 5*i + 277 = m. Calculate the lowest common multiple of i and 8.
1112
What is the common denominator of 37/30 and 42/48*399/(-49)?
120
Let z = 95 - -45. Calculate the smallest common multiple of z and 35.
140
Calculate the smallest common multiple of 216/20*(-10)/(-3) and 24.
72
Let a be (-6 - 42/(-6)) + -37 + 0. Let s = a - -74. Calculate the least common multiple of s and 10.
190
Let b(z) = 8*z - 1. Let g = -7 - -15. Find the common denominator of b(-2) and 226/(-18)*12/g.
6
Suppose -a - 15 = -g - 0*a, 0 = -2*g + 5*a + 39. Find the common denominator of 4 + ((-363)/g - -2) and -29/5.
20
Suppose -3*x + 476 = -3*p - 367, 5*x = -4*p + 1378. What is the smallest common multiple of 22 and x?
3058
Suppose -5*x - 2*x = -28. Suppose -x*z - 5*j + 115 = 0, j - 149 = -5*z - 0*z. Calculate the least common multiple of 6 and z.
30
Suppose -3*h = -h + 42. Calculate the common denominator of -49/2 and (-7)/h - 344/42.
14
Suppose -3*l + 5 = -4*z + 9*z, 3*z + 2*l = 3. Let j = 11 - z. Suppose -17 + 85 = 5*o - 2*t, 3*o - 2*t - 44 = 0. Calculate the least common multiple of j and o.
60
Suppose 3423 = 34*j + 703. Calculate the least common multiple of j and 25.
400
Let c = 3538/3 + -1166. Let j = 704/3 + -1255/6. Calculate the common denominator of j and c.
6
Let j(o) = 3*o**2 - 33*o - 20. Calculate the l