 of (x/(-2) - -1) + (-742)/336 and -139/36.
72
Let q = -137083675073/71983287480 + 35/10167131. Let n = 76/177 + q. Let s = 99/47 - 7217/1128. What is the common denominator of s and n?
120
Suppose a + 2*c - 11 = 0, -a + 6*a - 73 = -c. Suppose 5*w + 36 = -z + 2*z, -5*w - a = 0. Calculate the lowest common multiple of z and 6.
42
Suppose 4*u - 5*i - 1391 = 711, u - i = 526. Suppose -33*n - u = -45*n. What is the lowest common multiple of n and 14?
308
Let j(i) = 2*i**2 + 157*i - 1127. What is the lowest common multiple of j(7) and 105?
210
Let g = 155 + -145. Suppose -g*v + 16*v - 30 = 0. Let o(w) = -w**2 + 6*w + 3. What is the lowest common multiple of v and o(6)?
15
What is the least common multiple of (-87)/116 + (-115)/(-4) and 604?
4228
Let s(j) = -j**3 + 88*j**2 + 1293*j - 22. What is the smallest common multiple of 10 and s(-17)?
41710
Let s = 2563705/26 + -98575. Let r = s + 19/13. Let j = -54 + r. Calculate the common denominator of -125/18 and j.
18
Suppose -1 = -b - 7. Let g be b/(-15) - (2137572164/(-1920))/(-13). Let c = 85641 + g. What is the common denominator of c and 19/2?
96
Suppose -3*b - a = -5409, b + 3*a - 4*a = 1799. Let m = b + -12575/7. What is the common denominator of 9/14 and m?
14
Let a = 911/6 + -151. Calculate the common denominator of a and 1*2/11 + 12789/5104.
48
Find the common denominator of -6 + (-241)/(-172) + 5 and 103/188.
8084
Let v = -14470/573 - -33/382. Let i = -895 - -16121/18. Calculate the common denominator of i and v.
18
Suppose 0*j - 88*j = -307120. What is the smallest common multiple of j and 349?
3490
Let z = 2231027/6753040 + -1/60295. Let q = 42880 - 6603577/154. Calculate the common denominator of z and q.
1232
Let q = -3344 - -53553/16. Suppose 2*y + 5*u + 161 = -2*y, 4*y = 4*u - 188. Calculate the common denominator of q and (-195)/y + 3/12.
176
Let y = -7620 + 198205/26. Let a be ((-138)/(-5))/((-33)/(-110)). Let b = a - 127/2. What is the common denominator of b and y?
26
Let a be (-14)/(-7) - 1/(1 + 0). Find the common denominator of 89/30 and 95*(-4)/72 + a + -3.
90
What is the smallest common multiple of 1048 and (6/(-18)*-12 + (-1 - -1))*1?
1048
Suppose -b = -2*v - 5, -4*v = -5*b - 2 - 3. Let y = -1/5761 - -697101/115220. Find the common denominator of y and ((-4)/114)/(b + 3644/732).
380
Let s(b) = -b**2 - 9*b. Let v(p) = p. Let q(h) = -8*h + 2. Let k(u) = -q(u) - 4*v(u). Calculate the least common multiple of s(-7) and k(8).
210
Let b be (-3 - 0)/((-4)/(-44)). Let a = b + 48. Calculate the least common multiple of 33 and a.
165
Let h(o) = 817*o**2 + 2857*o - 9. Calculate the smallest common multiple of 1308 and h(-4).
6540
Suppose -t + 3*r + 233 = 0, -2*r = -2*t + 336 + 106. Calculate the least common multiple of t and 60.
2580
Let h = 63267/1880 - 1510/47. Calculate the common denominator of h and 1/4 + 189/(-312).
520
Let d be 784882/80 + 6 - 1. Let w = 9818 - d. Calculate the common denominator of w and 29/108.
1080
Suppose -3*w = 2*c - 20, -6*c - 36 = -5*w - 10*c. Suppose 105 = 5*h - 5*f + 30, w*h = 5*f + 65. What is the least common multiple of h and 48?
240
Suppose 0 = -0*w + 13*w - 0*w. Suppose -g + 3 + 0 = w. Let q(u) = u**3 - u**2 + u - 3. What is the smallest common multiple of 8 and q(g)?
72
Let y = -778/110425 + 1145957501/220850. Let r = -5189 + y. Calculate the common denominator of 55/21 and r.
210
Suppose -9*r + 534 = -2402 - 295. What is the smallest common multiple of r and 2154?
2154
Let n = 21015 - 17177. Calculate the lowest common multiple of n and 3636.
69084
Let t(j) = 2*j**3 - 9*j**2 + 4*j - 44. Let u be t(5). Let a(p) = 366*p - 68. Let k = 0 + 2. Calculate the smallest common multiple of a(u) and k.
298
Suppose -189*r + 187*r + 369 = 73*w, -2*r + 19 = 3*w. Suppose 0*s = -3*s + 75. What is the smallest common multiple of w and s?
25
What is the common denominator of 12*(-21)/672 - (-15965)/42552 and 56/81?
15957
Suppose -277 = -5*g + 743. Let r(h) = 7*h + 39. What is the least common multiple of g and r(-3)?
612
Suppose 0 = 2*g - 4*s - 38 - 50, 2*s - 108 = -3*g. Calculate the smallest common multiple of g/57*27/2 and 28.
252
Let m be ((-8)/(-10))/((-5)/(-25)). Let z be 4/((-5)/(-170)*m). Let j = -18 + z. Calculate the smallest common multiple of j and 12.
48
Find the common denominator of (-1 - 166/(-168))*(-23406)/1245 and -113/924.
4620
Suppose -43*m = 2*b - 39*m - 1304, -5*b + 2*m = -3296. Calculate the least common multiple of b and 7.
658
Let g = 15165 - 11658. Calculate the least common multiple of g and 14.
7014
Let n = -4/319 - 8/203. Let k = -26/737 - -85483/20636. What is the common denominator of k and n?
308
Let f be -2 + (2 - 4 - -6) + 2. Let q(m) = m**3 - 5*m**2 + 5*m - 6. Let v be q(f). What is the common denominator of -103/18 and 82/(-24) + v*(-9)/6?
36
Suppose 19234 = -5*m + 3*c, 6202 = -2*m + 2*c - 1490. What is the common denominator of 151/18 and (-4186)/m - (-2)/(-4)?
1332
Let k be (3*(-4)/18)/(2/18). What is the smallest common multiple of (-5)/(-11 - k) - -21 and 88?
88
Calculate the lowest common multiple of 660 and (-1800)/(-252)*(-8 - -29).
3300
Let m(d) = 2*d**2 - d + 1. Let o be m(-2). Calculate the common denominator of 29/70 and ((-119)/210)/(-17)*o.
210
Let j = 2/173265 - 1686464/1559385. Let d = j - -22/27. What is the common denominator of 53/30 and d?
30
Let l = -1055 - -41128/39. Find the common denominator of -47/15 and l.
195
Calculate the least common multiple of (10/(-15))/(27/(-4455)) and 370.
4070
Let z = 212 - 14636/69. Find the common denominator of z and ((-25755)/990 - -26)/((-1)/(-134)).
759
Let s(l) be the second derivative of -l**4/12 - l**3/2 + 13*l**2/2 + 12*l. Let u be s(-8). Calculate the lowest common multiple of (-25 - u)*1*4 and 16.
16
Suppose q + a - 12 = 3*a, 0 = -5*q + 2*a + 76. Let u = -13717 - -274403/20. Calculate the common denominator of u and (-518)/q*9*(-1)/147.
280
Suppose -2*w = -3*o + 70, 2*o + 2*o - 100 = -4*w. Suppose -q = -6*q + 45. Calculate the smallest common multiple of o and q.
72
Let b = -74523/261550 - 3/41848. Calculate the common denominator of -127/4100 and b.
8200
Suppose -4*t = 416 - 1420. Suppose -6*x = -5*x - t. What is the lowest common multiple of x and 4?
1004
Let i = -24/21343 - 3557081/6402900. What is the common denominator of -31/225 and i?
900
Let o = -5382115946/4135 + 1301600. Find the common denominator of o and -57/2.
8270
Let m(f) = 15*f**3 - 9*f**2 + 8*f + 12. Let w be m(6). Let i = w - 17971/6. What is the common denominator of -49/6 and i?
6
Let c be 35 - 12/8*(-8)/6. Let j = c - 34. Suppose 0 = 5*m, -3*i - 2*i + 10 = -j*m. What is the lowest common multiple of 5 and i?
10
Let n = 24 + -30. Let m = n + 21. What is the smallest common multiple of 27 and m?
135
Let s = 212417 - 714146047/3362. Calculate the common denominator of s and 7/22.
36982
Let c(s) = s**2 + 6*s + 1. Let a be (0 + 132)/6 - (2 - 0). Suppose -a*g + 9 = -31. Calculate the least common multiple of g and c(-6).
2
Let v = -75 - -98. Suppose 5*c = -i + v - 10, 4*c = -5*i + 23. Calculate the least common multiple of 6 and i.
6
Let v(l) = 268*l - 687. What is the smallest common multiple of 2067 and v(3)?
6201
Calculate the least common multiple of (-12)/(-28) + 4/(-56)*-1982 and 568.
568
Let a(g) = -2*g + 33. Let s be a(8). Let u(i) = -i**3 + 17*i**2 - 2*i + 38. Calculate the lowest common multiple of u(s) and (1*4)/((-6)/(-9)).
12
Suppose 3*d - 9 = -31*l + 34*l, 3*d - 14 = -2*l. Calculate the smallest common multiple of 168 and d.
168
Suppose 0*y - 16 = -4*y. Suppose -5*v + 3*s - 844 = 257, -2*v = -s + 441. Let d = v + 240. What is the lowest common multiple of d and y?
36
Let v = 146 - 234. Let h = v + 133. What is the common denominator of 95/4 and ((-1)/(-15))/(10/h)?
20
Let u be (-504)/96 - 10/(-8). Let i be 1*u*-1 + (16 - 10). What is the smallest common multiple of 4/i + 1 + 98/5 and 9?
63
Suppose -613 - 363 = -4*p. Let w = 288 - p. Calculate the least common multiple of 8 and w.
88
Let y(b) = -12*b - 52. Let i(x) = 30*x + 130. Let n(f) = -5*i(f) - 12*y(f). Calculate the lowest common multiple of n(-5) and 7.
28
Calculate the common denominator of 3080/784 - (-1)/(-2) and (-2)/(-4) + (-222)/44.
77
Suppose 0 = -5*g + 144*o - 159*o + 755, -2*g + 351 = -o. Calculate the smallest commo