r + 42*r + 83748. Let p = r - -44051443/1578. Let t = p + 40279/12624. Find the common denominator of t and -97/18.
144
Let j be 6/2*9/(-1). What is the least common multiple of 22 and 8/3*j/(-6)?
132
Let x(n) = n**3 - n**2 - 5*n + 7. Let b be x(2). Let v(i) = 30*i - 5. Calculate the lowest common multiple of v(b) and 45.
225
Let b = -1187 - -1623. Calculate the smallest common multiple of b and 545.
2180
What is the least common multiple of 8256/(-1204)*112/(-6) and 256?
256
Find the common denominator of 61/4238 and (-20)/(-5 + 0) - 125799/30970.
21190
Let y = -22973/189 - -834/7. Calculate the common denominator of y and 145/288.
864
Let q = 672655 + -351125789/522. What is the common denominator of 139/522 and q?
522
Let r be ((32/6)/(-2))/(26/78). Calculate the lowest common multiple of ((-147)/12 - -4)/(3/r) and 16.
176
Let p = -3333/592 + -17/296. Calculate the common denominator of 89/96 and p.
96
Let i(u) = -u**3 + 26*u**2 - 45*u - 4. Let t be i(24). What is the smallest common multiple of 9 and -4 + (t - (3 - (4 + -5)))?
180
Let m be (-1 + (-1460)/(-1178))*7474/148. Let f = m + -249/19. Find the common denominator of -33/20 and f.
620
Suppose -4*x - 390 + 413 = q, 36 = 2*x + 4*q. Let p = 10 - 20. What is the least common multiple of (-2)/x + (-425)/p and 15?
210
Suppose -12*h = -13*h + 11. Suppose -3*z + 140 = h*z. Suppose -50 = -z*x + 5*x. What is the lowest common multiple of x and 8?
40
Let g(n) = n**3 + 51*n**2 - 72*n - 256. What is the least common multiple of 20 and g(-52)?
3920
Suppose -u = -5*g + 62 + 49, u + 99 = g. Find the common denominator of (1 + 3)*(-42)/(-384) and 10*21/(-10)*(-40)/u.
16
Let s(v) = v**3 - 10*v**2 + 18*v - 18. Let w be s(8). What is the common denominator of (-34)/30*25/6 and (w - 67/(-80)) + (-6)/(-10)?
144
Let v = 14351 - 14327. Calculate the lowest common multiple of 52 and v.
312
What is the least common multiple of 232 and -609*(-8)/84*18?
2088
Let t = 7392 + -7357. Calculate the smallest common multiple of t and 133.
665
Suppose 603 - 4773 = 5*c - 2*u, -3*c + 2*u - 2502 = 0. Let n = 16587/20 + c. Find the common denominator of n and (884/(-78))/(104/30).
260
Let r be -2811*(-3 + 35/10). Let n be (-8 - -9) + 0 + 13948/(-10). Let b = r - n. What is the common denominator of b and 29/5?
10
Let o(z) = 2*z**2 + 6*z + 6. Let y be o(-2). What is the smallest common multiple of 30 and ((-400)/(-20))/(1/y)?
120
Let q(a) = -a**2 + 2*a. Let t be q(2). Suppose t*h + h = 154. What is the lowest common multiple of 24 and 2/14 + 4136/h?
216
Let t = -486 + 496. Suppose t*d - 451 = 749. What is the least common multiple of 36 and d?
360
Let u be (-1)/3 - (-652)/1848. Let a = -55/14 + u. Calculate the common denominator of 252757/31626 - 4/(-18) and a.
154
Let q(j) = 2*j + 171. Let l be q(-17). Suppose -2*f = 3*r - l, -r - 6*f = -2*f - 29. Calculate the smallest common multiple of 42 and r.
294
Let k(r) = -21*r + 206. Let q be k(-34). Suppose 3*w - i - 545 = 0, -5*w + 20*i = 16*i - q. What is the smallest common multiple of 4 and w?
180
Let c be (-6)/78 - 349321/(-4543539). Let p = 1314757/998580 - c. Find the common denominator of 77/2 and p.
60
Let t be 0 + -4 + 8 - -1. What is the common denominator of 46/(-69) - 7*t/(-6) and ((-13)/(-78))/(1/165)?
6
Let o(f) = 11*f - 86. Let i(j) = 2*j + 1. Let b(d) = 3*i(d) - o(d). Calculate the lowest common multiple of b(7) and 6.
54
Let j(t) = t**3 + 3*t**2 - 2*t + 6. Let f be j(-4). What is the common denominator of ((-2)/54)/((-4)/(-498)) and (-23)/14*(6/(-8) - f)?
504
Let a be (-81)/135 + 8709/15. Let r = -13973/10768 + -10/673. Find the common denominator of r and (((-3)/6)/(-1))/(340/a).
272
Suppose 194 = 3*s + 4*j, 5*s + 5*j - 285 = 35. Suppose 9*w + 4*i = 6*w + s, 20 = 4*i. What is the smallest common multiple of 5 and w?
70
Let s = 3671619/893 - -29584/893. Let r = 4147 - s. What is the common denominator of r and (-221)/20 + (-2)/(-8)?
95
Let p(y) = 17*y**2 + 11*y. Let i be p(-1). What is the common denominator of 41/12 and i - ((-1086)/(-132) - 6)?
132
Suppose 2*y - 219 + 225 = 0. Let r(j) = 2*j**3 + 8*j**2 - 10. Calculate the least common multiple of 365 and r(y).
2920
Let s = 153/2 - 1193/15. Calculate the common denominator of s and 89/231.
2310
Let u(q) = q**3 - 16*q**2 + 48*q + 3. What is the smallest common multiple of u(3) and 21?
210
Suppose -20 = -84*f + 82*f. Calculate the common denominator of 1127/(-35) + -1 - 8/f and -47/75.
75
Suppose 0 = 41*p + 494 - 945. What is the smallest common multiple of 9602 and p?
105622
Let j be (183/6)/(2/(-12)). Let t = j - -379/2. Calculate the common denominator of t and (-1 - (-23)/56) + -1.
56
Let w(x) = 21*x**2 - 299*x + 2. Calculate the lowest common multiple of w(15) and 242.
242
What is the common denominator of -61/7049 and (-113)/(-339) + (-272)/(-84) + 2?
7049
Suppose 1196 = 3*h - 4*v, 5*h + 30*v = 29*v + 2001. Calculate the least common multiple of h and 2200.
4400
Let h be 12/(2*(-6)/176). What is the common denominator of (6/h*118)/(-3) and (2 - -1) + 59/4?
44
Suppose -7*k - k + 59 = 11. Calculate the lowest common multiple of k and 1580.
4740
Suppose -2937 = -24*o + 2871. What is the least common multiple of o and 3?
726
Let y(w) = -67*w + 134. What is the smallest common multiple of y(-8) and 10?
670
What is the common denominator of (-8)/(-6)*((-14)/((-2479232)/(-1770988)) + 10) and 6/7?
77476
Let u(k) = k**2 + 5*k - 8. Let z be u(-6). Let j = z - -12. Let m = -8235 + 8288. What is the least common multiple of j and m?
530
Let v(z) = -60*z - 9 + 11 - 16 - 16. What is the lowest common multiple of 18 and v(-5)?
270
Calculate the common denominator of 93/10 and (482/(-495255))/(((-4)/(-29))/2).
4110
Find the common denominator of -9/248 and ((-53)/795)/(1*8/642).
1240
Let o(t) = t**2 + t - 15. Let s be o(3). Let r be (1/(4/66))/(s/376). Calculate the common denominator of 3/4*(r/72)/(-11) and -38/27.
216
Let v(w) = 2*w - 12. Let r be v(6). Suppose -d = 5*p + 2*d + 2, 5*p - 4*d - 26 = r. Calculate the common denominator of -1/16 and 1 + (p - 39/12).
16
Let w = 17152 + -274333/16. Calculate the common denominator of w and -7/8.
16
Let i be (-443814)/(-180)*(-6)/(-42)*-4. Let o = i + 1409. Find the common denominator of 12/10*14/(-9) and o.
15
Let p(d) = -2*d + 7. Let v be p(3). Suppose -w - v + 5 = 0. Calculate the lowest common multiple of w and 17 - (8 + -18 + 11).
16
Suppose -53390 - 11818 = -33*f. What is the least common multiple of f and 104?
1976
Suppose -t - 2*v + 35 = -25, -4*t + 225 = 3*v. Suppose t = 2*k - 3*o, -2*k - 6*o - 22 = -58. What is the least common multiple of k and 148?
888
Let z = -652873/30 - -21766. Let l be 2 + (-2)/(3 - 13)*-87. Let y = -917/55 - l. Find the common denominator of y and z.
330
Find the common denominator of (-56)/(-15) - 11/(-55) and (-222)/20 - (5 + -9).
30
Suppose 2*u = 5*s - 42, -2*s - u + 17 = -2*u. Suppose s + 1 = 9*q. What is the lowest common multiple of ((-8)/3)/(4/(-12)*q) and 4?
8
Suppose -3*p = -2*i + 17, -2*p - 16 = -6. Let w(z) = 13*z**2 - 3*z + 1. What is the least common multiple of 259 and w(i)?
2849
Let u = 1137 - 997. What is the lowest common multiple of u and 21?
420
Let c = 1726/7 + -248. Let z = 72197/42 - 5134/3. Find the common denominator of z and c.
14
Let l be -5 + (-18)/12*-80. Let o = -45321/34298 + 5/1559. Find the common denominator of l*4/48 + (-2 - -3) and o.
132
Suppose 0 = 29*y - 24*y + 3*p - 6812, 1388 = y + 7*p. Calculate the smallest common multiple of y and 1120.
19040
Suppose -2*w + 5*d = -w - 52, 5*d - 74 = -2*w. Let y(t) = t**2 + 5*t - 137. What is the least common multiple of w and y(11)?
546
Let n = -571/5 - -4413/40. Let y = -38608/11 - -6176543/1760. What is the common denominator of n and y?
160
Let o = -22990 + 6414175/279. What is the common denominator of -139/372 and o?
1116
Let m = -23712 + 782561/33. What is the common denominator of -46/9 and m?
99
Let y(l) = 4*l**2 - 3*l - 8. Let t be y(2). Find the common denominator of (-1050)/1008 + (5/t)/1 and -35/104.
312
Let r be 2 - 1 - (-4)/(-2). Let m be (48/120)/(r/(-25)). Suppose -m*f = -49 - 41. Calculate the least common multiple of 1 and f.
9
Suppose -j = -5*o + 13, 4*j - 3*o - 2*o = -7. Suppose 13*p - 32 = 9*p. Calculate the smallest common multiple of p/28 