west common multiple of n and 20.
15360
Let u = -9638 + 202313/21. Find the common denominator of u and 2 + 7 - 12525/1440.
672
Let q = 57 - 58. Let k be (q - -16) + 12 + -9. Suppose 258 = 4*z + k. Calculate the least common multiple of 10 and z.
60
What is the least common multiple of 6 and ((-33)/55*(-50)/18 - 2)*-1065?
2130
Suppose -278*c = 251*c - 80408. Let q(o) = -o - 1. Calculate the least common multiple of q(-3) and c.
152
Suppose -i - 12 = -y - 4*y, 12 = 2*y - 4*i. Suppose y*o - 2*h - h = -7, 3*h - 23 = -2*o. What is the lowest common multiple of o and 138/7 - (-2)/7?
20
Let p(h) = -7*h + 31. Let g = 18 - 14. What is the least common multiple of p(4) and g?
12
Suppose a - 32 = 4*o, -6*a + 7*o - 1 + 210 = 0. Calculate the least common multiple of ((-4)/5)/((-1)/35) and a.
252
Suppose -9 = 8*a - 25. Suppose g - 4*f = 24, -4*g - 3*f = a*f - 54. Suppose 0 = -20*p + g*p + 8. What is the smallest common multiple of 1 and p?
2
Let f = 665807/2672280 + 34/5139. Find the common denominator of f and -11/52.
520
Suppose c + 0*c - 47 = i, 0 = -4*c - 4. What is the common denominator of -19/64 and 586/80 - (-6)/i?
320
Let k(o) = 2*o**2 - 5*o. Let i(j) = -j**3 + 7*j**2 + 40*j - 48. What is the smallest common multiple of k(4) and i(10)?
156
Let b = -5185217 - -1685190641/325. Let s = b + 225/13. Find the common denominator of 9/10 and s.
50
Suppose 4*x + 75 = 5*l, -2*l = 3*l - 2*x - 65. Suppose -2*g = 4*u + 468, -3*u + 694 = -3*g - u. Let n = -229 - g. What is the lowest common multiple of n and l?
33
Find the common denominator of (1/23)/((-13)/481) and -67/598.
598
Suppose -258*b = -277*b + 190. Let s = -31 + 41. Calculate the least common multiple of b and s.
10
Let v = 161/121 + -16331/1452. Let d = -2/119307 + -197813/61562412. Let o = -10679/4644 - d. Calculate the common denominator of v and o.
108
Find the common denominator of -1/144 and -23 - (10 + (-4670926)/141648).
32688
Let h be (-19 + 37)/((-6)/(-40)). Suppose -5*o = r - 346 + h, 4*o + 3*r - 183 = 0. Calculate the lowest common multiple of 40 and o.
360
Let w = 16691 + -16403. What is the least common multiple of w and 636?
15264
Let b = 9852 + -108. Let w = 214479/22 - b. Find the common denominator of w and -83/134.
1474
Suppose -10*d = -9*d - 5*x, 0 = 5*d - x + 24. Calculate the smallest common multiple of ((-4)/1)/(d/10) and 1.
8
Let x be (887/(-9))/((-1505)/(-129)). Let o = 23/42 + x. Find the common denominator of o and -37/10.
10
Let b be (4 + -13)*(-3 - -1). Let q be (b/(-40))/((3/(-162))/(-1)). Let v = -4793/210 - q. Calculate the common denominator of v and 5/12.
84
Suppose 17*j - 70 = -19. What is the least common multiple of (-7)/((-3)/(6 + 3)) and j?
21
Let t = 157704 + -81848414/519. Calculate the common denominator of t and -14/11.
5709
Calculate the common denominator of 5/79 and (-5691)/(-462) - (9 - -1).
1738
Let r = 14335603/6 + -2394775. Let u = r + 5521. Find the common denominator of u and 58/35.
210
Let n = 35733 + -29961. Calculate the lowest common multiple of 20 and n.
28860
Suppose -2*f + 5*s = -27 + 22, -f - 5*s = -10. Calculate the smallest common multiple of f and 1325.
1325
What is the common denominator of 0 - (-20 - -26) - (-2 - 591/84) and 83/84?
84
Suppose -4*a - 168 = -3*a. Calculate the common denominator of 1*(-4)/14 - 34/a and 61/164.
492
Let g = 2395 - 2280. Calculate the smallest common multiple of 184 and g.
920
Suppose 2*f = 4*h - h + 4931, 1646 = -h + 3*f. Let y = 36097/22 + h. Calculate the common denominator of 50/20 + (-2)/16 and y.
88
Suppose -18*l = -16*l - 30. Let u be 16 - l - -2*(-91)/2. Calculate the common denominator of 275/88*(-76)/u and -8/33.
396
Let a be ((-282)/(-4))/(1 - (-10640)/2599). Let u = 3157581/464263781 - 1/315611. Let n = a - u. Calculate the common denominator of n and 1/102.
102
Find the common denominator of 0 + 6/(-63) - (-4582)/(-156513) and 9/(-36)*152/(-9).
2313
Calculate the common denominator of -17/130 and -5 - 156/(-24) - (-29)/(-40).
520
Suppose 0 = 4*w + 83 + 61. Let x = -26 + w. Let q = x - -84. What is the least common multiple of 12 and q?
132
Calculate the lowest common multiple of (48/(-45))/8 + 76418/285 and 737.
2948
Suppose -3233 = 1551*o + 40*o - 114603. Suppose s + 0*s - 40 = 0. Calculate the lowest common multiple of o and s.
280
Suppose -6*h + 7 + 17 = 0. Let y be h + (5 - 6)*(-1 + 2). Suppose -30 - 115 = 5*s - 5*w, -91 = y*s - w. What is the common denominator of s and 75/8?
8
Suppose -10 = m - 34. Let z = 83 - 5. What is the smallest common multiple of m and z?
312
Let z(t) = -6*t**2 - 9*t + 33. Let r(m) = -m**2 + 1. Let d(h) = 2*r(h) - z(h). What is the least common multiple of 4 and d(3)?
32
Let a(b) = -21*b - 16. Let t be a(-1). Find the common denominator of -125/84 and (-802)/140 + 0 + t.
420
Suppose -p = 2*y + 17, y - p + 31 = 3*p. Let o(w) = -w**3 - 10*w**2 + 12*w + 6. Let l be o(y). Calculate the common denominator of l*(-23)/15 - 1*-3 and -113/6.
6
Let u = -868939/6 + 8779753/60. Let d = -1505 + u. Let k = 67/140 - d. What is the common denominator of k and -109/10?
70
Let y(a) = 12*a**2 + 1503*a - 9014. What is the least common multiple of y(6) and 44?
4796
Let j = -340501/2232 - -2769/248. Let s = j - -449/3. What is the common denominator of -13/24 and s?
72
Let f be (-2)/18 - (-924180782)/212546880. Let r = 7646/4055 - f. Let w = -3/2080 - r. Find the common denominator of 9/20 and w.
20
Let w = -134011/220 - -6711/11. What is the common denominator of ((-194)/(-33))/(20/3) and w?
220
Let y = 3/1582 - -35989/791. Let b(v) = -8*v**3 - 3*v**2 - 24*v + 54. Let p be b(2). Let s = y + p. What is the common denominator of -73/20 and s?
20
Let x = -107 + 108. Let c be x - -2 - 4*2/(-4). Suppose 2*k - 10 = -2*y, 5*y = c*k + y - 16. Calculate the lowest common multiple of k and 12.
12
Let q = 62377/48 + -3907/3. Calculate the common denominator of 139/612 and q.
2448
Let u = 7468 - 89561/12. What is the common denominator of (-83 - -1)/(-26 - -11) and u?
60
Suppose 32*x = 27*x + 55. Let m(z) = z**3 - 12*z**2 + 10*z + 14. Let w be m(x). Suppose 31 = w*v - 41. Calculate the least common multiple of 7 and v.
168
Suppose 7 = 5*p - 4*z - 25, -2*z = -4. Find the common denominator of 0 + -71*(-1)/8 and (-670)/25*(2 + (-18)/p).
40
Suppose -20*x = -24*x + 20. Calculate the common denominator of 21/4 and 243/32 - (x - 0).
32
Let s(h) = 2607*h + 309. What is the lowest common multiple of s(2) and 2?
11046
Let q = 198301/36 + -5508. Calculate the common denominator of ((-8160375)/(-2700))/47 + -66 and q.
36
Let n = -690 - -693. Suppose -q = -2*q + 3*r, -12 = -n*q + 3*r. Suppose -5*t + 1 = -39. Calculate the least common multiple of t and q.
24
Suppose -2904 = -32*n - n. Suppose n*f = 93*f - 640. What is the smallest common multiple of f and 1?
128
Let x(d) = 52*d + 2395. Calculate the smallest common multiple of 253 and x(-12).
1771
Let r be -5 + ((-159)/(-27) - -5). Let b = -10838/1845 + r. Let d = 7929/4510 + b. Find the common denominator of d and 41/66.
66
Let x(n) = 2*n**3 + n**2 - 2*n - 2. Let d(q) = -q + 9. Let y be d(7). What is the least common multiple of x(y) and 12?
84
Suppose -8*w = -5900 - 14908. Calculate the smallest common multiple of 2601 and w.
2601
Find the common denominator of 43/8 and 24/1592*(-226)/36.
4776
Calculate the lowest common multiple of 3125 and (168/420 - (0 + (-8)/5)) + 248.
6250
Let x = 12/155 - 1103/7440. Find the common denominator of x and -57/1120.
3360
Let g(v) = v + 20. Let s(z) = -z**2 - 8*z - 10. Calculate the least common multiple of g(0) and s(-2).
20
Let l = -693 + -199. Let s = l + 907. Calculate the lowest common multiple of s and 10.
30
Let s = -7403/7224 - -52/43. What is the common denominator of s and -89/84?
168
Let d(j) = 885*j - 3399. What is the least common multiple of 7 and d(6)?
1911
Let q = -130581542097/385 + 339172567. Let y = q + 1891/7. What is the common denominator of 7/10 and y?
110
Suppose -3*y - h = -326, -4*h + 216 = 2*y - 8. Find the common denominator of -5 + (-6)/(y/177) and -56/33.
66
Let b = -1873636278 - -46254458759345/24687. Let d = b - 2/2743. Let j = -962/3 + 346. Find the common denominator of j and d.
9
Suppose -1039*q + 5 = -1034*q. Let i = 16 - -6. What is the lowest common multiple of q and i?
22
Let w(