43235 + -53569250347/62. Let u = -23069 + x. What is the common denominator of -119/12 and u?
372
Suppose 40*u = 36*u + 4. Find the common denominator of 2/3*18/(-33) and (u - 1) + (9/10 - 1).
110
Let r(n) = 28*n**2 - 10*n - 24. Let y be r(9). Let b be 3 + 3 + -3 + y/(-9). Let d = -2813/12 - b. Calculate the common denominator of 109/22 and d.
132
Let n(a) = -7*a**2 + 3*a - 1. Let r be n(2). Let c = r - -16. Calculate the common denominator of -11/10 and 5/(-6)*((-21)/4)/c.
40
Let a(n) = 21*n**3 + n**2 - 4. Let v be a(2). Suppose 0 = -4*h + 60 + v. Let b = -9 + h. Calculate the least common multiple of 20 and b.
240
Let t = -67 + 131. What is the common denominator of ((-176)/99)/(2/8) and t/6*(93/42 + -2)?
63
Let l = -231 + 237. What is the lowest common multiple of 10 and (-3)/(9/l) - (13 + -37)?
110
Let n = 17 + -54. What is the common denominator of 19/80 and (-6 + 280/45)/(16/n)?
720
Let c(s) = -s**2 + 23*s - 15. Let b be c(22). Suppose b*m - 62 = 106. What is the lowest common multiple of m and 5?
120
Let p be ((2 + (-33)/(-3))*21)/10. Let o = p - 928/35. Calculate the common denominator of o and 2/124*-1*1.
434
Find the common denominator of (-205)/(-4)*((-4446)/495 - -9) and -13/1152.
12672
Let k(h) be the third derivative of -h**5/60 - 13*h**4/24 + h**3/2 - 3*h**2. Let a = -313461/574 + 3825/7. Find the common denominator of a and k(-10).
82
Suppose 3*r - 2*r + 2151168 = -5*j, 8604672 = -4*r + 2*j. Let y = 184996151/86 + r. Let f = -20/43 - y. Find the common denominator of f and -59/3.
6
Let k = -47 - 88. Find the common denominator of 38/32*(-3)/(-1) and (-660)/(-32)*10/k.
144
Let f(m) = -251*m**3 + m**2 - 5*m - 5. Let k be f(-1). Find the common denominator of -109/66 and (-6)/21 + 3894/k.
66
Suppose 10588 = 25*h - 11268 - 39769. Calculate the smallest common multiple of 1530 and h.
44370
Calculate the least common multiple of 687 and ((-9)/6)/(4/(-22) + 4632/26928).
35037
What is the common denominator of (-321)/2140*1*215/612 and -1/510?
4080
Let h(l) = -4*l - 21. Let u be h(7). Let t = 61 + u. Calculate the lowest common multiple of t and ((-27)/12)/3*-4.
12
Calculate the lowest common multiple of ((-1)/(-11))/(21/231) and 22.
22
Suppose 0 = q + 3*q - 32. Suppose 1185*h - 121 = 1174*h. What is the smallest common multiple of q and h?
88
Let a = -406671/32 + 12707. Find the common denominator of a and 9/24*-2*1798/(-1914) - -1.
352
Let n = -294 + 303. Suppose -n*q = -13*q + 2*f + 14, 2*q - 4*f = -2. Calculate the least common multiple of q and 191.
955
Let x = 36 + -70. Let m = x - -74. Suppose -113*f + 37*f = -912. Calculate the lowest common multiple of f and m.
120
Let t = 753/22 - 621772/18161. Find the common denominator of 31/182 and t.
23114
Let c = 1/2719 + -274631/32628. Calculate the common denominator of 17/1623 and c.
6492
Suppose 0 = 20*r - 10*r - 20. Find the common denominator of 567/(-14)*(r + 0)/354 and 71/2.
118
Let u = -30 + 48. Calculate the lowest common multiple of 224 and u.
2016
Let x = 140213 - 40381435/288. What is the common denominator of -137/2016 and x?
2016
Calculate the common denominator of 89/454 and (-5)/(((-25)/5)/5) - 33/5.
2270
What is the common denominator of -35/1063 and 6/(-13) + 5658/16146?
9567
What is the common denominator of -58/27 and 2*(-3)/24*(-88 + 105)?
108
What is the lowest common multiple of (90/50 - 6)/(6/(-60)) and 6?
42
Calculate the common denominator of 103/678 and (-6 - -1)*(-2)/125 - (-3819)/9450.
14238
Find the common denominator of 2945/200 - (-1 + 10 + 4) and -53/60.
120
Suppose -f = f - 2*g, 2*f = 5*g - 6. Suppose 0 = 5*y - 4*y + a, -f*y = -3*a - 5. What is the lowest common multiple of ((-4)/2)/((-2)/16*y) and 22?
176
Suppose 655 - 889 = -39*p. Calculate the smallest common multiple of 84 and p.
84
Let m = -4/201 + 4111/1206. Let k(v) = v**2 - 7*v + 3. Let u be k(3). Find the common denominator of 2*u/(486/(-228)) and m.
18
Suppose -210 = -p - 1189. Let g = -3829/4 - p. What is the common denominator of g and 779/(-18) + (-4)/18?
4
Let k(t) = -125*t - 50. Calculate the lowest common multiple of k(-4) and 2925.
5850
Let f = -5051592 - -50589917/10. Let p = f - 7408. Let d = 10001/436 + 34/109. What is the common denominator of d and p?
20
Let b = -742 - -1539. Suppose 0 = y - 3*f + b, 0*y - 4*y - 3153 = -5*f. Let g = 1511/2 + y. Calculate the common denominator of g and 3/10.
10
Let a be (1/(-216))/(-3 + (-860)/(-8)). Let m = 677329/3814668 + a. What is the common denominator of 64/3 and m?
507
Let d be -3*3/(99/42551). Let x be (603 + -50)/((-3)/(-21)). Let g = x + d. What is the common denominator of -97/2 and g?
22
Let x = -606/83 + 754429/103750. Find the common denominator of -32/35 and x.
8750
Let s(k) = 152*k - 3350. What is the lowest common multiple of 10 and s(23)?
730
Let h = -30/28373 - -1760993/28599984. Find the common denominator of h and -113/84.
1008
Let i = 19186562/73107 + -4/8123. Let v = -37387/144 + i. Calculate the common denominator of v and 15/2.
16
Let x = 64 - 65. What is the common denominator of 0 + 1 + 55/105 and (-1142)/(-60) - (-2)/(-11 - x)?
42
Let b be (1610/(-3))/((-4)/(-24)). Let f = b + 35378/11. Calculate the common denominator of f and 9/229.
2519
Let h be 1426/(-434) + (-4)/(-42)*3. Let b = 43471/12 + -3618. Calculate the common denominator of -134*(-50)/(-40)*h/45 and b.
12
Let d = 102234449/747 + -136860. Find the common denominator of d and -97/30.
7470
Let k be (-2 - -1)/(17/(-4) - -4). Suppose 14 = k*m - 4*h - 18, 4*h = -16. Suppose 0 = -m*y + 11*y - 56. Calculate the lowest common multiple of 47 and y.
376
Let k = 82 - 2. What is the least common multiple of 4 and k?
80
Let o = -3217/207 - -475/23. Let a = 441 + -1343/3. Find the common denominator of o and a.
9
Let p(x) = 3*x - 13. Let g be 8/((1 - 3)*(-1)/(-9)). Let j be ((-2)/3)/(1*4/g). Calculate the smallest common multiple of 5 and p(j).
5
Let b = 222 - 138. Let t = -788584 - -788724. What is the smallest common multiple of b and t?
420
Let q = 119/26 + -28/195. Find the common denominator of q and -73/160.
480
Let g = -379 + 3410/9. Let z be (-4)/6 + (-53)/63. Let k = g + z. Find the common denominator of 8/33 and k.
231
Let r(s) = s**3 + 4*s**2 + s. Let b be r(-1). Let t(h) = 10*h**2 - 11*h + 12. Calculate the smallest common multiple of 10 and t(b).
30
Let v = 83 - 78. Let b be 440/5 - 3 - v. Let l = b - 56. What is the lowest common multiple of 3 and l?
24
Let y(k) = 38*k**2 + 99*k + 944. What is the lowest common multiple of 730 and y(-11)?
44530
Let t = -14269/68 - -827/4. Find the common denominator of t and -83/222.
3774
Let y be (-5 - 3) + (1 - -5). Calculate the common denominator of -31/4 and y/1 - 1786/342.
36
Let d = 1920865/335682 + -1/18649. What is the common denominator of (213/(-54) - -4)*(-476)/12 and d?
54
Let b = -1 - 0. What is the common denominator of ((-1)/45)/((96/3030)/(-8)) and (-246)/(-9)*b/16?
72
Let p be (-1 - 1)*546/(-4). Suppose 0 = 5*u - 677 - p. Calculate the common denominator of -73/14 and (48/44)/(-4)*u/(-12).
154
Let l(w) = -w**3 - 40*w**2 + 42*w + 45. Calculate the smallest common multiple of l(-41) and (206 - 0) + (-36)/(-9).
420
Let f(p) = -2*p + 28. Let o = 41 + -26. Suppose -5*m - 5*w + 85 = 0, o = 5*w - 2*w. What is the smallest common multiple of f(m) and 18?
36
Let n = 124172/35 - 3548. What is the common denominator of n and (-2)/6 + 2074/(-420) + 6?
70
Suppose -4*a + 84 = 4*w, 26*a - 28*a + 23 = w. Calculate the smallest common multiple of w and 190.
190
Let d = -1/40128 + 338873/575168. Find the common denominator of d and 127/860.
2580
Let j = 592481/5035 + -2238/19. What is the common denominator of j and 3/1961?
9805
Let d = -275 + 278. Calculate the smallest common multiple of (d/(-1))/(129/(-2494)) and 16.
464
What is the smallest common multiple of 560 and (287 - (-44 - -22)) + 11?
2240
Let q = 3323 + -3319. Suppose 6*p = p + 3*b + 21, -1 = -3*p - 4*b. Calculate the lowest common multiple of q and 8 + p + (-2 - 2).
28
Let n(u) = -u**3 - 15*u**2 + 2. Let x be n(-15). Suppose -x*l = -1929 + 89. Let a = 9213/10 - l. What is the common denominator of a and 137/6?
30
Calculate the common denominator of (-9)/108 + 4 - 4 - (-97)/44 and -61/1998.
21978
Calculate the common denominator of 163/702 and 1967/(-13230