 What is the lowest common multiple of 164 and k?
656
Suppose 0 = -3*o + 4*j + 62, 105*o - 48 = 102*o - 3*j. Let x(l) = l**2 + 6*l + 8. Calculate the least common multiple of o and x(-6).
72
Let b(t) = 4*t**2 + 266*t - 1346. What is the least common multiple of b(5) and 316?
6636
Let y be (5/2)/(2/308). Let h = y + -3797/10. Calculate the common denominator of -85/62 and h.
310
Calculate the common denominator of (-30)/(-5)*24/15936 and -59/16.
1328
Suppose -4*a + 5*a = 0. Calculate the lowest common multiple of 22 and a*(25/20)/5 + 23.
506
Let y = -530/329 - 31/235. What is the common denominator of -71/2000 and y?
14000
What is the lowest common multiple of 2/(20/978) + (-19)/(-95) and 210?
1470
Suppose -7*s + 2*s - 35 = 0. Suppose 17 = -6*a + 23. Calculate the lowest common multiple of (-19)/s + 6/21 and a.
3
Suppose j - 152 = -144. Suppose -j*m + 29*m - 126 = 0. What is the lowest common multiple of m and 24?
24
Let h = 2749 - 1898. Calculate the smallest common multiple of 4 and h.
3404
Let x be (-6)/(-12)*-32 + 1 + -4. Let k(m) = m**3 + 6*m**2 - 8*m - 4. What is the smallest common multiple of k(-7) and 12/42 + x/(-7)?
3
Let z = -68649 - -5629287/82. Let m = 1203 - 2459/2. Find the common denominator of m and z.
82
Suppose -90*w + 461 = 229 - 848. What is the lowest common multiple of 40 and w?
120
Let v = 52 - 32. What is the lowest common multiple of v and 6950/556 + 10/(-4)?
20
Let l be (-452)/(-10) + 4/(-20). Let r = 1641 + -6495/4. What is the common denominator of 6/l*(-3210)/(-48) and r?
12
Let x be -5 + (-790)/(-35) + (-8)/14. Suppose -6*g = x - 71. Suppose -5*o + 2*o = -3*l - 138, -5*l + 40 = o. Calculate the smallest common multiple of o and g.
45
Let r be ((-3213)/18)/((-6)/8). Let g(l) = -2*l**2 + 4*l. Let x be g(3). Find the common denominator of -11/3 and (-2)/x - r/84.
6
Let g be ((-109914)/(-36))/(0 - -11013). Let x = -2/3671 - g. What is the common denominator of (11 + (-35)/3)*147/16 and x?
72
Let j(o) = 3*o**3 - 36*o**2 + 23. Let s be j(12). Suppose 8*d = -2*a + 11*d + s, 5*a - 86 = -2*d. What is the lowest common multiple of 106 and a?
848
Let v = -66329/9610 - -2/961. What is the common denominator of (60 + -15)/15 + -2 + (-814)/1068 and v?
2670
Let g be 120/16*-2*(-2)/6. Suppose 1 + 9 = g*j. What is the lowest common multiple of (-228)/(-36) - j/6 and 6?
6
What is the common denominator of 31/392 and (-66)/(-441)*168/98 + (-4)/16?
2744
Suppose 2*k = -4*h + 8*h + 472, 3*k - 4*h - 700 = 0. What is the common denominator of 70/4 + (-8 - k/(-36)) and 29/22?
66
Suppose t - 54 = -2*t. Let b(k) = -11*k - 69. Let i(y) = y + 1. Let h(j) = -b(j) - 2*i(j). Calculate the lowest common multiple of h(-5) and t.
198
Suppose 0 = 3*o - 12, -6*k - 2*o = -k - 352193. Let r = k - 5493983/78. Calculate the common denominator of 43/65 and r.
390
Suppose 0 = 2*b + 3*q - 48, 4*b = -3*q + 120 - 24. Suppose 0 = y + b - 0. Calculate the smallest common multiple of 18 and (y/10)/((0 - -4)/(-20)).
36
Suppose -2*p + 4*x + 94 = 0, 46*x = 51*x + 20. What is the least common multiple of 572 and p?
1716
Calculate the common denominator of (-21)/(-7) + 2 + (-21154)/4263 and -38/15.
3045
Suppose 13*x + 8 = 18*x - 4*k, -3*x = 3*k - 21. Suppose -b = -3*s - 0 - x, b + s = 12. What is the smallest common multiple of b and 14?
70
Let s = -32/3 + 859/60. Suppose 5*q - 4*g + 5278 = -3662, -5*q - 4*g = 8940. Find the common denominator of (-6)/(-10) + q/80 and s.
20
Let p = -79 - -13. Calculate the common denominator of p/252 + (-23)/(-7) + -3 and 1*-2 + (-89)/14.
42
Suppose 6*a + 1256 = 4*a. Let q = -5061/8 - a. Calculate the common denominator of q and 5/46.
184
Let p = 20184 - 20124. What is the least common multiple of p and 1720?
5160
Let q = -83304853225 + -1742549174241. Let y = q + 405361504345120849/222012. Let k = -1/31716 + y. Find the common denominator of -7/4 and k.
84
Let r(f) = 7*f + 17. Let u be r(-3). What is the common denominator of (u/(-54))/(952/9894) and 13/21?
126
Let b = -481 + 483. Suppose -7*v = b*n - 4*v - 348, -5*n + 2*v = -870. What is the lowest common multiple of 3 and n?
174
Suppose -6*b + 12 = -12. Let j(u) = -79*u + 411. What is the least common multiple of b and j(5)?
16
Let q = -141 + 152. Let u(i) = i**3 - 7*i**2 - 42*i - 16. What is the smallest common multiple of u(q) and 26?
78
Let u = -93/280 + 2747/420. Find the common denominator of 143/48 and u.
48
Let w = -51962/43701 + -3/2081. Let u = -37/1267 + 116981/144438. What is the common denominator of w and u?
798
Calculate the smallest common multiple of (6 + 3)*12/3 and 174.
1044
Suppose -z = 3*k - 226, 2*k - 540 - 551 = -5*z. What is the smallest common multiple of z and 930?
6510
Let n = 30 - 26. Suppose -n*y - 20 = -4, -3*u = -3*y - 72. Suppose 2*i - 119 + 43 = 0. What is the least common multiple of u and i?
380
Let n = -8082163951/5493 + 1471357. Find the common denominator of -65/27 and n.
49437
Suppose 0 = -3*i - 0*i + 30. Let f(g) = 22*g**2 - 1. Let a be f(1). What is the least common multiple of i and (-94)/(-14) - (120/a + -6)?
70
Suppose 5*b = 4*x + 9*b - 1668, 3*x - 1250 = -4*b. Let f = x + -2515/6. Let i = 3314 - 29756/9. Find the common denominator of f and i.
18
What is the common denominator of (-1)/36*133 + 81/(-108) and 79/15?
45
Let z(q) = 11*q - 299. What is the lowest common multiple of z(28) and 608?
5472
Let b = -1071 - -741. Let v = b + 366. Suppose 5*x + 5*u - 55 = 0, -2*x + 5*x + 4*u - 30 = 0. Calculate the lowest common multiple of v and x.
252
Let v(s) = -s**3 + 11*s**2 - 31*s + 12. Let p be v(6). Suppose p = m - 16. Let g = 5786 + -46203/8. Find the common denominator of m and g.
8
Suppose 2*h + 16 = -2*a - 56, -3*h + 179 = -4*a. Suppose -k = -4*k - 4*i + 179, 0 = k + i - 59. Let z = a + k. What is the least common multiple of 2 and z?
16
Suppose 519 - 15 = 21*i. Suppose -4*t - 4*m + 308 = 0, 5*t + 3*m - 98 = 285. What is the smallest common multiple of i and t?
456
Suppose -2*k - 2*k = 12, -3*y + 198 = -4*k. Let d = 60 - y. What is the least common multiple of d/10 - -7*13/5 and 6?
18
Let u = -48053/15 - -3209. What is the common denominator of -56/2265 and u?
2265
Let j = 11264 + -180225/16. Calculate the common denominator of (-940)/(-8)*1/180 and j.
144
Suppose -d = -3*n + 2 - 54, d - 2*n - 56 = 0. Calculate the smallest common multiple of d and 680.
5440
Suppose v + 0*v = -5*p + 12, -2*p = 2*v - 8. Suppose 5*a - 252 = p*u - u, -5*u = 10. Calculate the least common multiple of (-4)/5*-3 - (-48)/(-120) and a.
50
Suppose 0 = 4*p - 3*x - 94 - 86, 5*p - 248 = -2*x. Suppose 20*d - 80 = 19*d - 2*o, -200 = -3*d + 4*o. Calculate the smallest common multiple of d and p.
144
Let d = -16867747/372 + 45343. Calculate the common denominator of -43/310 and d.
1860
Suppose -3*y = -2*y + 3*q - 437, y - 477 = 5*q. Let m = y - 4949/11. What is the common denominator of m and (-7 - -12)/20*(-162)/5?
110
Suppose -14*v + 2*v - 2064 = 0. Calculate the common denominator of v/(-129)*(-702)/80 and 33/20.
20
Let x = -56 + 102. Find the common denominator of (x/36)/(2/(-10)) and -6*(-17 - 7831/(-451)).
198
Suppose -2*n - 4*b = 2*n, -5*n - 4*b + 4 = 0. Suppose -52 = -n*v - 0*v. Suppose -5 - v = -g. Calculate the lowest common multiple of 14 and g.
126
Find the common denominator of ((-95)/76)/(3/(-18))*41/385 and 41/406.
4466
Suppose 2*z = 16*h - 117632, -4*z + 14738 = -104*h + 106*h. What is the smallest common multiple of h and 72?
58824
Let a = -264/479 - -1769543/3209779. Let t = 328361/80412 - a. What is the common denominator of t and ((-74)/18)/((-2)/1)?
36
Let u = 1280/47 - 3171/94. Let k be (-6)/(-2) + (-1 - 0). What is the common denominator of (-290)/72 - k/9 and u?
4
Let h = -690 - -698. Suppose 5*k - 39 - 451 = 0. Suppose -38 + k = 5*c. What is the smallest common multiple of c and h?
24
Let w = -69 - -72. Let t(l) = 2*l**3 - 2*l**2 - l + 6. Calculate the least common multiple of w and t(2).
12
Let q = -571 + 2195/2. Let d = 4253/8 - q. Calculate the common denominator of d and 10/17.
136
Let h(l) = 28*l + 2128. What is the least common multiple of h(-34) and 24?
1176
Calculate the common denominator of (-4)/(217000/(-3785)) - (-34)/527 and 16/77.
3850
Let r = -4193059/102 - -41108. What is the common denominator of ((-89)/6)/((-22)/6) and r?
1