(n) = -n**2 + 12*n - 41. Let z be -1 - (-17 + -1 + 5). Let x be f(z). Let j = 85 + x. What is the lowest common multiple of j and 36?
396
Let f be -1 + 2 - 4209/5121. Let i = 2381918/13381173 - f. Let q = i - -2516359/470340. What is the common denominator of 7/2 and q?
20
Let p be 129/75582*35828279 + (-1)/3. Let t = 1161824/19 - p. Let c = t - -92/51. Calculate the common denominator of -43/12 and c.
156
Suppose d + 2 = -1. What is the common denominator of ((-2)/(-14))/(1/d) and (-2 - 5/(-2))/((-13)/32)?
91
Let j = -63375827519/954 + 66431662. Let h = -206/9 - j. Find the common denominator of -89/10 and h.
530
Let y = -4973843/9416 + -167/1177. Let u = -10579/20 - y. Calculate the common denominator of -9/100 and u.
200
Calculate the common denominator of (164/6*(-57)/7277)/(22/1) and 85/766.
8426
Let u(m) = -684*m - 2958. What is the least common multiple of 15 and u(-18)?
46770
Let r(n) = -n**3 - 8*n**2 + 8*n - 6. Let g = -894 - -390. Let i = -501 - g. Calculate the smallest common multiple of r(-9) and i.
3
Suppose 3*y - 111 = -3*v, 5*y - 1334*v = -1329*v + 155. What is the smallest common multiple of 85 and y?
170
Let j be (-20)/4 + ((-86135)/(-17228))/1. Let c = j - -1404157/258420. Find the common denominator of 13/12 and c.
60
Let y(s) = -s**2 - 620*s + 9. What is the least common multiple of y(0) and 6630?
19890
Suppose -14 = 3*i + 4*z, 0 = -5*i - 2*z + 3*z - 8. Let o(x) = -13*x - 6. Let y = -62 - -69. What is the least common multiple of y and o(i)?
140
Suppose -2155 + 299 = 127*z - 156*z. What is the lowest common multiple of 408 and z?
3264
Calculate the common denominator of -101/3288 and 3/((-17)/(-187)*16).
6576
Let u = 319 + -319. Suppose 6 = 2*i - 22. What is the lowest common multiple of -7 + u + (4 - -5) and i?
14
Let s = 1 + 3. Suppose -15 = s*c - c. What is the common denominator of 59/10 and 2/c*(-340)/24?
30
Let g be (-9)/(-6)*16/6. Suppose -2088 = -304*b + 2776. What is the least common multiple of (1 - (-4 + -3))*g and b?
32
Let t = -579 + 581. What is the least common multiple of (-59 - 85)*t/(-6) and 2?
48
Let d = 146683 - 146603. Calculate the least common multiple of d and 29 - (-2 + 4)/(-2).
240
Let o = 37649 + -6965007/185. Find the common denominator of 73/38 and o.
7030
Let t be (12/10)/(16/9640). Find the common denominator of (882/t)/(-3) - 6/(-12) and 35/18.
4338
Let l = -544600 + 474891121/872. Find the common denominator of l and -39/4142.
16568
Let g = -83947/18 + 4670. What is the common denominator of 74/10*(2 - 41/18) and g?
18
Let b be -294 + (3 - (4 - 7)). Calculate the common denominator of (-10)/15*-1 + 466/b and 97/6.
144
Suppose 0 = -10*u + 5*u + 10, 5*g - 5*u = -40. What is the least common multiple of (-4)/(-6) - 138/(-9) and (-69)/(-9) + 4/g?
112
Let p(y) = y**2 + 34*y + 31. Let m be p(-33). Calculate the common denominator of 93/14 and (-600)/(-384) + m + 0.
112
Let y = 7771 - 7753. What is the least common multiple of 1584 and y?
1584
Let v(n) = -n**3 + 31*n**2 + 219*n + 123. What is the least common multiple of v(37) and 282?
564
Let d = 11 + -1. Let i(q) = -8*q + 125. Calculate the smallest common multiple of 21 and i(d).
315
Suppose -4*d = -66*d + 106330. Let a be 1260/((-3)/(351/(-86))). Let z = d - a. Calculate the common denominator of 47 and z.
43
Let f = -2729 + 27413/10. Find the common denominator of f and -71/52.
260
Let q = -601 + 652. What is the common denominator of 58/3 and 1*q/4 + 5?
12
Let w be 1/(-2) + -1 + 3038/28. Let a = w - 100. What is the lowest common multiple of 10 + (-530)/65 + (-4)/(-26) and a?
14
Let l = -93 + 43. What is the common denominator of (-26)/(-7) - (-1)/(-1) and (-8 + l)*3/(-8)?
28
Let p = 642581 + -523060837/814. Calculate the common denominator of p and -79/10.
4070
Suppose 5*z - 1120 = -310. Let x(o) = -o**3 - 12*o**2 + 5*o + 39. Let p be x(-12). What is the lowest common multiple of (140/p)/10*-3 and z?
162
Let t = -815305/42 + 19413. What is the common denominator of ((-10)/(-3))/(396/(-162)) and t?
462
What is the common denominator of 11/923*((120/5)/4 + -4) and -67/3?
2769
Let q(t) = 1224*t**2 + 2*t. Let z be q(2). What is the common denominator of (-165)/(-140)*-10 + 17 + -11 and (-7610)/z - 2/(-5)?
98
Suppose 0 = 3*l + y + 3003, -3*l = -7*y + 3*y + 2988. Let j = l - -197965/198. What is the common denominator of j and -77/2?
198
Suppose 140*s - 2*v = 136*s + 42, 0 = 3*s - 4*v - 54. Calculate the least common multiple of 11152 and s.
33456
Suppose -28*h + 5*g = -29*h + 83, -2*g = -2. Calculate the smallest common multiple of 26 and h.
78
Let b be ((-1)/(-4) + 154/24)*-18. Let l = b - 44. Calculate the common denominator of l/(-6)*(-1)/18*1 and 53/3.
27
Let q = -10059 - -10154. What is the smallest common multiple of q and 880?
16720
Let c = 50902/9 - 5650. Let f = -7883/30 - -1273/5. Calculate the common denominator of c and f.
18
Let t be (-4066)/4062 + -1 + 2. Let c = -62939/22341 + t. Find the common denominator of c and 9/(-3) + 33/(-21).
77
Let q(k) = k**3 - 2*k**2 + 69*k + 1006. Calculate the least common multiple of 52 and q(0).
26156
Let t = 43585/76782 + -77/134. Let w = 3191/8022 - t. What is the common denominator of w and 109/6?
42
Let m be 80*(10/(-4))/(-1). Let r be 0*(-2)/(-14)*-1. Suppose r = -12*x + 8*x + m. Calculate the least common multiple of 8 and x.
200
Suppose -2*w = 25*l - 27*l + 1356, w = -l + 690. Calculate the least common multiple of l and 1368.
1368
Suppose -2*n - 10*z + 301 = -11*z, -4*z = -n + 161. What is the smallest common multiple of (1 - n/(-7)) + (-6)/21 and 56?
616
Let n = -8116 + 8118. What is the least common multiple of 322 and n?
322
Calculate the common denominator of 45/1177 and 2/4 - (-1)/((-63558)/30283).
31779
Let j be (-8862)/(-19935) - 12/(-54)*-2. Let b = 75769/159480 - j. Calculate the common denominator of b and -9/14.
280
Let z be 2*-1 - (-8 + 3). Suppose z*k - 43 = -5*s, -5*k = -s - 2*s - 117. Let t = -15 + k. What is the least common multiple of t and 10?
30
Suppose -2*g + 3*b = -7*g + 12, -1 = -g - 2*b. Suppose 1 = 5*x + 5*y - 4*y, 2*y + 5 = -g*x. Calculate the least common multiple of 32 and (1 + 10)*x*-2*-2.
352
Suppose 4*l = -2*q + 54, 141 = -3*l - 3*q + 189. What is the least common multiple of l and 199?
2189
Let s = -25258554883/1232 - -20502075. Let r = s + 41/176. Find the common denominator of (3*(-3)/(-30))/(264/6380) and r.
28
Let q(r) = 3*r**3 - 2*r**2 + 1. Let t be q(1). Suppose 3*w + 22 = 7, t*w = -k - 6. Suppose 0 = -z + k + 2. Calculate the least common multiple of z and 2.
6
Suppose b - 14 = 8*w - 6*w, 3*b - 17 = w. Calculate the common denominator of -11/90 and -2 - w - 125/(-40).
360
Let m = -16338151/972 + 67235/4. Find the common denominator of m and 79/270.
2430
Suppose 5*h + 1 - 16 = 3*b, 0 = -2*h + b + 6. Suppose 110 = c + 2*d, -d + 8 - h = 0. What is the least common multiple of 110 and c?
1100
Suppose 2200 = j + 3*j + 4*j. What is the lowest common multiple of j and 500?
5500
Let i = -30127513/215802 + 5305/38. Find the common denominator of -73/3786 and i.
11358
Suppose -4*u + 2*u = -n - 8, 2*u - 8 = 3*n. Suppose n = -154*a + 149*a + 15. What is the least common multiple of a and (15/2)/(2/4)?
15
Let s(q) = q**2 + 55*q - 642. Calculate the smallest common multiple of s(11) and 420.
420
Let w = 462 - 462. Suppose -b + w*b - 2*s + 234 = 0, -5 = s. What is the least common multiple of b and 10?
1220
Let b(c) = 3*c - 2. What is the smallest common multiple of b(6) and (-5)/((-25)/(-16))*750/(-120)?
80
Suppose 2*i - 670 = 1854. Let a = i - 26423/21. Let v = 153014/27 - 5668. Calculate the common denominator of v and a.
189
Let n(l) = 9*l + 17. Let g(w) = w - 1. Let u(b) = 14*g(b) - 2*n(b). What is the least common multiple of u(-32) and 12?
240
Let f(a) be the first derivative of 3*a**2/2 - 18*a + 18. Calculate the least common multiple of 81 and f(10).
324
Suppose -10 = 5*w + 5*u, w - 2*w = -u - 8. Calculate the common denominator of -77/2 and w/(-9)*3*(-46)/44.
22
Let h = -184584/11 - -16758. Let x = h - -8588/385. Find the common denominator of 109/28 and x.
140
Let v be ((-4)/10)/(38/451820). Calculate the common denominator of 43/42 and 1/(-28)*v/(-319).
462
Let z = 312 - 382. Calculate the least common multiple of (z/105)/(2/(-6)) and 10.
10
Suppose 