*3 + 18*s**2 - 43*s - 39. Let y = -16 - 4. Calculate the least common multiple of k(y) and 30.
210
Let w = 10746751/2628 - 36802/9. Let p = 476069/10 + -47595. Find the common denominator of w and p.
1460
Let v = -1698 + 1734. Let k(u) = u**3 - 20*u**2 + 20*u + 29. What is the lowest common multiple of k(19) and v?
144
Find the common denominator of 77/178 and 24/32 + (-2140)/1690 - (-6)/8.
30082
Let s = -33709/20 - -1683. Calculate the common denominator of s and (-2)/(-13) + (-8)/((-12480)/(-6415)).
120
Calculate the smallest common multiple of -7 - ((1 + 4 - -2) + -20) and 139.
834
Let q = -42 - -924. Let f = 4 - -2. Find the common denominator of 51/7 and 4/f + (-35)/q*15.
14
Let a be (66/(-11))/((-6)/(-4)). What is the lowest common multiple of 15 and 6/(1 - a - (-18 - -22))?
30
Let x = 22746 - 2047187/90. What is the common denominator of -53/36 and x?
180
Let q = -120/301 + -29559/602. Calculate the common denominator of 23/208 and q.
208
Let n = -20 - -48. Suppose 5*j - h + 5*h = 350, 4*j = -h + 280. Calculate the least common multiple of n and j.
140
Let a(m) = -m + 3. Let r be (10 - 7) + -1 + -2. Suppose 0 = 3*j + 3*l, 2*j + 5*l - 9 - 3 = r. Calculate the least common multiple of 11 and a(j).
77
Suppose 0 = -5*k + 2814 - 114. Calculate the least common multiple of 54 and k.
540
Let q be (141/6 + 10)/(2/(-36)). What is the common denominator of 4/(-6) - (-154)/6 and (q/270)/((-2)/6)?
10
Let w be (-1 - -6) + (-13169)/585. Let b be (117/(-27))/(6/(-32)). Let p = w + b. What is the common denominator of p and 121/12?
60
Let v be (-2)/(-10) + 1282/(-20)*2. What is the least common multiple of (-76)/266 + v/(-7) and 63?
126
Suppose -15 = -4*z + 3*z + w, -5*z + 2*w + 72 = 0. Calculate the least common multiple of 1000 and z.
7000
Let u = -1/792 + 13073/3960. Let g = 712487/128760 - 1/8584. Let c = g - 66/5. What is the common denominator of u and c?
30
Suppose -4*f + 12 = 2*z, f + 19 = 6*z - z. Suppose -11*g + 40 = -z. Calculate the common denominator of 97/26 and g.
26
Let i = 299 - 287. Suppose 4*j = -q - 77 + 58, 3*q + i = -3*j. What is the lowest common multiple of q and 8?
8
Let x = 421 + -411. Suppose -x = -5*w + r + 4*r, 0 = 5*r + 5. Suppose -3*v + 12 + 0 = 0. What is the least common multiple of w and v?
4
Suppose 0 = 20*m - 25*m + 5, -2*q - 1 = -5*m. Suppose -3*y + 8*y = 25, q*f + y = 21. What is the least common multiple of f and 1/(-1) + 362/2?
360
Suppose 3*n + 6 = 3*i, 5*i + 5*n = i + 35. Suppose 4*x + 3*j = 39 - 12, j - 42 = -i*x. Calculate the common denominator of 17/6 and (19 - 2)/((165/x)/5).
66
What is the common denominator of (165/(-243))/(697/123) and -10/459?
459
What is the common denominator of 7 and (-21)/70 - (-5352)/11840?
296
Let n be (11/(330/12))/((-2)/(-70)). Suppose 5*x = -2*x + n. Find the common denominator of 2/7 - (x + (-34)/(-28)) and 21/80.
560
Suppose -2*f + f = 109764. Let m be (-13 + -13 + 30514509)/278. Let r = f + m. Calculate the common denominator of -91/10 and r.
1390
Let u be -3*((-8)/3 - -2). Suppose 2*h = 4*h - u. Let n = -6764 - -6766. Calculate the least common multiple of n and h.
2
Suppose -16 = -2*y - 4*c, -2*c = 2*y + 7 - 15. Suppose 2*n + 4*k = 6*n - 216, y = -4*k - 20. Calculate the common denominator of n and 37/198.
198
Suppose 3*m = -2*f + 16 + 45, 160 = 5*f + 5*m. What is the least common multiple of 40 and (120/f)/(-1)*(-4 + -3)?
120
Let z be (-6339663)/(-616) + (-2)/1. Let t = 10290 - z. Calculate the common denominator of -19/20 and t.
280
Let f = 170 + -1181/7. Suppose 0 = 9*u + 6 - 42. Suppose -u*x - 641 = -685. Calculate the common denominator of f and x.
7
Let d(k) = -4*k**3 + 4*k**2 + k - 21. Let b be d(-7). Suppose -49*x + b = -35*x. What is the least common multiple of 4 and x?
220
Let p be (-12)/(5/3 + -1). Let t = p - -38. Let h = -99 - -169. What is the smallest common multiple of h and t?
140
Let p = 53 - 13. Let j = 54 - p. Suppose -4*t - j = -54. Calculate the least common multiple of 8 and t.
40
Let s be 3 - ((-83415)/5571)/(-5). Let p = s + 41951/141132. Let x = -1565/228 - p. What is the common denominator of 21/26 and x?
78
Let b(m) = -2*m**3 + 6*m**2 + 4*m - 10. Let u be b(3). Calculate the smallest common multiple of (288/168)/(u/126) and 3.
108
What is the common denominator of (3/4)/(-3) + (-38402)/(-93912) and 73/18?
774
Let v(h) = h**2 - 10*h - 213. Suppose 9*q + g - 109 = 4*q, 0 = -4*q - 5*g + 83. Calculate the smallest common multiple of v(q) and 162.
2754
Let i = 3326693/76 - 43773. Calculate the common denominator of i and -17/3116.
3116
Let r = 209 + -208. Calculate the common denominator of r/((-10)/35 - 110/7) and -73/20.
80
Let o be 9*18/1215 - (-19799)/(-30). Let h = 661 + o. Calculate the common denominator of 95/66 and h.
66
What is the least common multiple of (-7299776)/(-792) - (-20)/18 and 14?
64526
Let i = -86 + 97. What is the smallest common multiple of 160 and (-4)/(-22) + 174/i?
160
What is the least common multiple of 48 and 5/(-4) - 1201865/(-3220)?
1488
Suppose -4*w + 8 + 8 = 0. Let l(t) = -4*t**2 - 44*t - 16. Let j be l(-10). What is the least common multiple of (0 + -1)/(j/(-96)) and w?
4
Find the common denominator of (2 - 11/5)/(5 + 1281/(-123)) and -43/24.
4440
Let k be (56/140)/(1/15). What is the common denominator of ((-63)/28)/(k/(-11)) and 101/36?
72
Suppose 2*p - q = 28 + 4, 8 = 2*q. What is the smallest common multiple of 87 and p?
522
Calculate the lowest common multiple of 22 and 23928/(-72)*(-54)/9.
21934
Let l = -1253/60 + 124/5. Let g = 52567/4 + -24787/2. Let r = g - 749. Find the common denominator of r and l.
12
Suppose 3*r = 2*r + 4*o - 7, -4*o - 3 = -3*r. Let c(p) = -p**3 + 7*p**2 - 6*p + 2. What is the smallest common multiple of c(r) and (-1764)/7350 - (-1224)/100?
132
Let v = -502 - -527. Suppose 8*t - v*t = -714. What is the lowest common multiple of 36 and t?
252
Suppose 4*q - 7*q = -3*l + 345, -2*q + 4*l = 224. What is the common denominator of (-1 - -2) + q/20 and -111/200?
200
Calculate the common denominator of 101/165 and 6/(-40)*146/(-396).
1320
Let l be (-82)/(-132)*125/(-50). Let n = l + 18/11. Find the common denominator of -37/15 and n.
60
Suppose -23*x = -21*x + 5*u + 6, -6 = 3*u. Suppose m + 2*p = 2, 2*p + 4 = -x*m + 10. What is the smallest common multiple of 41 and m?
164
Suppose 5*j + 31255 = -4*x, 45*j + 4*x - 6227 = 46*j. Let i = 459898/547 - -272114283/50324. Let c = j + i. What is the common denominator of c and 69/10?
460
Let n = 1591/26 + -230/13. What is the common denominator of n and -1*(-1)/((-162)/639)?
18
Let g be ((-2)/5)/(-1*6/30). Suppose -g*w - 5*x + 6 = -w, 0 = 3*x. What is the least common multiple of 115 and w?
690
Let y(x) = -2*x + 32 + 43 + 33 - 75. Calculate the least common multiple of 93 and y(6).
651
Let a(n) = -n**3 - 12*n**2 - 25*n - 20. What is the least common multiple of 25 + -13 + 0 + 3 and a(-10)?
30
Let z(m) = 144*m + 2353. Suppose 4*h + h + 2*n = 48, 0 = -3*n - 3. Calculate the lowest common multiple of h and z(-16).
490
Let s = -279 - -343. Calculate the least common multiple of s and (-172)/(-8) - (-10)/4.
192
Suppose 4*r + 51 = 3*d - 16, r - d = -16. Let c = r - -25. Suppose 30 - 24 = c*h. What is the lowest common multiple of 3 and h?
3
What is the least common multiple of 22 and -9 + (-115)/((-10)/2)?
154
Suppose 2*g = 834 + 2232. Let m = 122629/80 - g. What is the common denominator of m and 5/8?
80
Suppose -i - 15 = 2. Let d = 104 + -4369/42. Calculate the common denominator of 18/(-120)*-7*i/(-3) and d.
420
Let i(h) = h**2 + 7*h - 109. Calculate the least common multiple of 522 and i(8).
5742
Let h = 2538 + -2517. Calculate the least common multiple of 462 and h.
462
Suppose -2*z - 20 = -o, -2*o + 22*z + 35 = 17*z. Calculate the lowest common multiple of o and 2/9 - 320/(-18).
90
Let s(p) = -p**2 + 9*p + 6. Suppose -4*w - 5*l + 144 = 26, -24 = -w - 4*l. Calculate the smallest common multiple of w and s(9).
96
Suppose -27 = -3*s + 21. Suppose -w - s = -5*w. Suppose 37*r + 33*r - 256 - 304 = 0. Calculate the smallest common multiple of r and w.
8
Let s = 87 + -55. Let h = s + 8. Calculate the lowest common multiple of h and (-162)/108 - (-150)/4.
360
Let d be -1 - 43 - 1/1. Let x = 1256 - 1276. Calculate the common denominator of (-894)/d - (-4)/