Suppose 0 = -5*w + 4*w + 2*w. Suppose w = -9*d - 0*d + 432. Calculate the least common multiple of 18 and d.
144
Suppose 4 = 4*a - 5*k, 9*k - 20 = 4*k. Suppose 2*r + 3*r = 2*m + 71, -2*r = -2*m - 56. Let u = m - -33. Calculate the smallest common multiple of u and a.
30
Let r = 11965 + -11963. Calculate the smallest common multiple of 70 and r.
70
Suppose 0 = -5*p - 4*h + 390, p - 86 = -2*h - 8. Calculate the lowest common multiple of p and 91.
546
Let o be ((5 + -5)/(-5))/(-2). Suppose 211*x - 198*x - 6279 = o. Calculate the smallest common multiple of x and 3.
483
Let f(c) = c**2 + 19*c + 67. Let n be f(-14). Find the common denominator of 7/24 and 0 + n + (-4466)/(-1008).
72
Let d(k) = -60*k - 132. Let y be d(-12). Let f = y - 578. Calculate the smallest common multiple of 30 and f.
30
Let v = 388 - 169. Let n = -192 + v. Calculate the lowest common multiple of n and 21.
189
Calculate the common denominator of (-3)/(-10)*545/75 - 3 and 121/3460.
17300
Let b(m) = 8 + m - 3*m - m + 12*m + 13*m**2. Calculate the lowest common multiple of 10 and b(-2).
210
Calculate the common denominator of -40/279 and ((-17324)/(-4368) - (-20)/(-5)) + 8/(-32).
50778
Suppose 2*j = 10*j - 1800. Let b = j + -867/4. What is the common denominator of b and -75/68?
68
Calculate the common denominator of 3/(-107)*(-5704)/372 and 65/9.
963
Suppose 0 = 4*d - 3*a + 11, -3*d - 17 = 14*a - 18*a. Suppose 2*k + 2*u - 30 = -3*u, -4*k = -4*u - 4. Calculate the lowest common multiple of d and k.
5
Let q = -272 - -612. Suppose -4*j = -4*r + q, 3*j - 401 = -5*r - 0*j. Suppose 15*b + r - 667 = 0. What is the least common multiple of 18 and b?
234
Let c = 1430 + -416. Let q = c + -27385/27. What is the common denominator of 11/15 and q?
135
Let x = 2/589 - 68993/23560. Find the common denominator of -37/45 and x.
360
Find the common denominator of -19/273 and (-64)/(-24) + ((-24600)/(-10647) - 5).
3549
Suppose 528*m - 4222 = 403*m + 12653. Calculate the least common multiple of m and 3255.
29295
Let x = -3/50183 - -2360836/37386335. What is the common denominator of -41/105 and x?
15645
Let o(w) = -w**3 - 40*w**2 + 43*w + 92. Let j = 78 - 72. Calculate the smallest common multiple of j and o(-41).
30
Suppose 0 = -d - 3*r + 6, -4*d + 5*r = -74 + 16. Calculate the common denominator of (7 + (-87)/d)*(-107)/5 and -85/16.
80
Let v be ((-1)/(-1))/(7 - 8). Let x = 15 + v. What is the lowest common multiple of x and 20/110 - (-1 + (-185)/11)?
126
Let v(b) = 90*b + 135. Let o be v(2). What is the common denominator of (o/(-112) + 3)/(2/(-108)) and -87/34?
136
Let n = 13627/11 + -1235. What is the common denominator of 38/517 and n?
517
Suppose 5*d - 3*j = 22, 0*j + 2 = 3*d + j. Suppose 11*o - 437 - 2676 = 0. Let s = o + -261. What is the lowest common multiple of d and s?
22
Let h = -25430 - -29490. Calculate the smallest common multiple of 406 and h.
4060
Let i(q) = q**3 + 3*q**2 - 2*q + 4. Calculate the lowest common multiple of (-16)/12 - 21/(-9)*(-4720)/(-70) and i(-3).
780
Suppose 5*m + h + 10 = 0, 2*m + 31*h = 28*h - 4. What is the common denominator of 2 + (m - (-256)/360) and 53/45?
45
Suppose -8*l + 22 + 58 = 0. Let g = 13 + -12. Suppose -q + g + 2 = 0. What is the lowest common multiple of q and l?
30
Calculate the least common multiple of -11 + (4 - 73)*4298/(-6) and 8.
49416
Suppose 0 = -2*l - 5*l + 14. Let k(s) = 159*s + 5. Let d be k(l). Calculate the common denominator of 13/4 and (d/(-68))/((-3)/(-8)).
12
Let b(l) = -l**2 + 35*l - 55. Suppose 3*j - 685 + 187 = 5*v, -696 = -4*j - 4*v. Calculate the lowest common multiple of j and b(30).
855
Let j(x) = -18*x**3 + 7*x**2 + 11*x + 20. What is the least common multiple of 18 and j(-4)?
11160
Let i = 5504 - 148619/27. Find the common denominator of i and -77/18.
54
Let r(a) = 4*a**3 - 2*a**2 - 4*a + 1. Let w be r(3). Let q(n) = 2464*n + 29. Calculate the common denominator of w/57*(-9)/6 and q(0).
38
Let i = -82054 + 45935. Let o be (-44)/(-3)*i/(-152). Let w = -3477 + o. Calculate the common denominator of w and 121/6.
6
What is the lowest common multiple of 27228 and (72/10)/(1604/4010)?
81684
Suppose 217*x + 5824 = 210*x. Calculate the common denominator of ((-3)/3)/((x/24)/(-13)) and 89/36.
72
Suppose -1388*h + 7 = -1387*h. Calculate the least common multiple of h and 56.
56
Let b = 4/1011 + -75833/2022. Let l be (-114)/(-22) + (-8)/44. Calculate the common denominator of ((-2)/20)/(l/30) and b.
10
Let b = -8573/10720 + 54/67. Calculate the common denominator of 81/16 and b.
160
Let s be 3 + (61726364/237)/(-4). Let u = s + 65109. Find the common denominator of u and 29/7.
1659
Let j = -8575/1244 + -22/933. Let k be 7*88/(-3) - -6. Let z = -202 - k. What is the common denominator of z and j?
12
Let y(n) = -7*n - 3. Let l be y(-5). Calculate the common denominator of 117/(-120)*-2 + 1 and (-54)/(-5)*2/l*2.
20
Suppose 0 = 39*g - 68*g + 38*g - 126. Let i = -89 - -138. What is the smallest common multiple of g and i?
98
Suppose -101*f + 410 = 6. What is the least common multiple of f and 3376?
3376
Let b be 1851/45 + (-4)/30. Suppose -141 = 13*i - 16*i. Let r = i - b. Calculate the smallest common multiple of r and 60.
60
Calculate the common denominator of ((-304)/1491 + (-5)/(-35))*10/2 and 23/216.
15336
Let k = 12 + -6. Suppose x = f - 3, f = -0*f - x + 9. What is the lowest common multiple of (-27)/f*6/(-9) and k?
6
Let z = -62306787/49 - -513475283077/403809. Let r = z + -800/67. What is the common denominator of 73/69 and r?
2829
What is the common denominator of -4/9 and 1310/(-98250)*(1 - (-144)/14)?
1575
What is the lowest common multiple of 4/6*(0*10/(-110) + 6) and 3890?
7780
Let c = -22182 + 22892. What is the least common multiple of c and 260?
18460
Suppose 321*y + 15955 = 79513. What is the smallest common multiple of (-90)/(-3 + 0 + 2) and y?
990
Let p = -42/83 - -7103/1079. Let v = p - 2224/351. Calculate the common denominator of v and 7/27.
27
Let v = 4398/23 + -82591/414. Suppose 0 = 3*p + 26 + 19. What is the common denominator of v and (-30)/84*(-237)/p?
126
Let h = 3555 + -31988/9. What is the common denominator of h and -103/228?
684
Suppose 4*f + 3*s = 597, -3*f + 2*s + 102 = -333. Suppose -v + 6*v = 4*u - 591, -u + f = -v. Let h = 156 - u. What is the least common multiple of h and 51?
204
Suppose a = -2*b + 2256, 0 = -118*a + 123*a + 20. What is the smallest common multiple of b and 791?
7910
Let b = 185506/33 - 5619. What is the common denominator of (149/(-36))/(5/10) and b?
198
Suppose -134*a - 2355 + 7983 = 0. What is the least common multiple of 462 and a?
462
Suppose -44778 = -721*r + 704*r. Calculate the smallest common multiple of 10 and r.
13170
Let a = 2569/1188 + -113/27. Find the common denominator of a and -3/208.
2288
Let t = -49 - -53. Let j be (1/(-3)*-1)/(t/24). Calculate the smallest common multiple of 15 and 6*j/6*15/3.
30
Let r = 138/2797 - -159583/1924336. Find the common denominator of 75/2 and r.
688
Let m(p) = -p**3 + 3*p**2 + 5*p - 3. Let x(y) = 1. Let r(l) = 4*l + 16. Let w(u) = -r(u) - x(u). What is the lowest common multiple of m(4) and w(-5)?
3
Let i(b) = -2*b**2 - 3*b + 12. Let r be i(-9). Calculate the lowest common multiple of 28 and (41/r)/(1/((-3)/1)).
28
Let b be (-347)/4218*4 - (-12)/36. Let d = b - 957/718466. Let w = -2818/2555 + d. What is the common denominator of w and 15/118?
590
Let a = 505 + -5526/11. Let l = -225181/105 + 15559/7. Let b = -388/5 + l. Find the common denominator of a and b.
165
Let l = -38 - -44. Suppose 3*z - 3 + l = 0. Calculate the common denominator of -145/6 and z - (-430)/115 - 1.
138
Suppose 3*s + 0 = -5*p - 3, p + 23 = 5*s. Let j be -1*1*s/(-2). Suppose -4*g - j*n = -85 + 9, 2*g = 4*n + 28. What is the smallest common multiple of 4 and g?
36
Let n(w) = -w**3 - 19*w**2 - 15*w + 55. Let a be n(-18). What is the lowest common multiple of a/(((-3)/(-131))/3) - -1 and 8?
264
What is the common denominator of -46/147 and (8 + (-2 - (-1278)/(-56)))/((-36)/(-1))?
2352
Suppose -5*g - 29*q + 25*q - 29 = 0, -3*g + q = 31. Find the common denominator of 20/51 and (1/g)/(560/(-18240)).
357
Suppose -6*i = 4*i - 80. Suppose -i*n = -6*n + 40. What is the common denominator of 15/n*186/(-15) and -41/14?
70
Let r(l) = -18*l - 802. What is the lea