 s = 1208 - 992. What is the smallest common multiple of 8 and s?
216
Let n(i) = 0*i**2 - 21 + i**2 - 23*i - 2*i**2 - i**3 - 10*i**2. Let f be n(-9). Suppose -5*c = c - f. Calculate the least common multiple of c and 8.
8
What is the common denominator of (-3 + (-21)/(-14))*(-16)/(-234) and ((-2)/24)/((-5)/(-10))?
78
Let v(q) = q**3 + 3*q**2 + 2. Let u = 91 + -93. Let k = 15 - 0. What is the least common multiple of k and v(u)?
30
Let h = 646/5 - 261/2. Let c be (-13694)/5*(-50)/48. Let q = c + -2845. What is the common denominator of h and q?
60
Let o = -1770955/132 + 13416. Calculate the common denominator of o and 342/(-308) + (3 - 5/2).
924
What is the common denominator of (57/3724*14)/(864/(-2660)) and -23/432?
432
Suppose -4*r + 261 = -3*o + 195, -5*r - 21 = 2*o. Calculate the lowest common multiple of r and 0/2 + (6 - 1).
15
Let a = 14 + -10. Suppose 683 = -a*i + r, -3*i + i = 4*r + 346. What is the common denominator of i/6*1/3 and -3/20?
20
Let n = 29461 - 1060669/36. Let q(v) = -238*v**2 + 63*v + 381. Let s be q(-7). Let h = 281285/24 + s. Find the common denominator of n and h.
72
Let y = -2185/666 + -152/37. Calculate the common denominator of y and ((-246)/9 + 4)/(-4).
18
Let u(f) = 3*f - 25. Let j be u(7). Find the common denominator of 107/10 and (-87)/55 - (2 + j).
110
Let x = 4042 + -3417. Calculate the smallest common multiple of x and 25.
625
Let m = 619265479/1104 + -560929. What is the common denominator of m and -53/276?
1104
Let o be (-2)/6*(-3)/230. Let x = 7117/2990 + o. Let b = x - -205/143. Find the common denominator of b and -53/11.
11
Let d = -1121807/110 - -10198. What is the common denominator of 139/120 and d?
1320
Let r be ((-597802004)/(-50))/(6/90*1). Let i = r - 5153351965847/28735. Let j = -8/821 + i. Calculate the common denominator of j and -25/17.
119
Let v be (7/21)/((-957)/(-9)). Let b = -34268086 + 174904308089/5104. Let w = v - b. Find the common denominator of 51/2 and w.
16
Let l(t) = 23 - 2*t - 54 + 28. What is the least common multiple of l(-12) and 42?
42
Let p be ((-1)/9)/(4096/(-48)). Let x = p - 24193/768. Let q = -2/5719 - 13844/5719. Find the common denominator of x and q.
38
Let k = 314 + -313. What is the common denominator of 1/(k + (7 - 3)) + 8 and -89/15?
15
Let z(r) = 75*r**2 - 75*r - 324. Calculate the least common multiple of 1568 and z(-4).
4704
Suppose -a = -4*a + 3*w + 117, -3*w - 154 = -4*a. Let j = a + -29. What is the lowest common multiple of j and 6?
24
Let h = 17639619292/747 - 23613952. Let k = 31/83 + h. Find the common denominator of (-1 + (-14)/20)*-3 and k.
90
Suppose 400 = 5*w + 150. Let k = w - 54. Calculate the smallest common multiple of 4 and (k/10)/1 - 306/(-15).
20
Suppose 212*i - 4635 = 207*i. Calculate the least common multiple of i and 515.
4635
Let k = -12175/666 + 403/37. Find the common denominator of k and 3/2.
18
Let n be 5 + (2 - -3) + (-2 - -33). Suppose -5*u = g + 21, 3*g + 5*u = 7*g - n. Calculate the smallest common multiple of 2 and g.
4
Let a(c) = -c**2 + 11*c + 63. Let m be a(15). Suppose 2*v - 3*n = v + 64, 0 = -v - m*n + 34. What is the least common multiple of 49 and v?
49
Let t = 989/206 + 10/309. Let f(g) = -g - 9. Let c be f(-7). What is the common denominator of t and c - (1 + (-96)/(-9))?
6
Suppose -5*h - 8*l = -11*l, -h + 4*l = 0. Suppose h = 4*m - 560 - 360. What is the least common multiple of 8 and m?
920
Let k = 20609/4893 - 5/233. What is the common denominator of k and 115/798?
798
Let v(i) = i + 16. Let c be (-34)/2 - (6 - 4). Let f be v(c). Calculate the lowest common multiple of 3/(-18)*f*12 and 6.
6
Let y = -704191/90540 - 1/10060. What is the common denominator of y and -143/306?
306
Let t be 94983/(-864)*-22 - 25/(-75). Let f = t - 21796/9. Calculate the common denominator of 45/56 and f.
336
Let i = 82 + -48. Let x(p) = 8*p**2 + 5*p + 19. Let v be x(-3). Suppose -4*y = -4*b + v, -14*b - 64 = -17*b - 4*y. What is the least common multiple of i and b?
340
Suppose 59 = 5*w - 76. Suppose -45*a + w = -42*a. What is the least common multiple of 175 and a?
1575
Suppose -4*m = 2*q + m - 345, -325 = -2*q - m. Suppose 6*a + q = 4*a. What is the common denominator of 61/18 and (-4)/(-16) + 182/a?
360
Calculate the common denominator of 11/2067 and (-17)/(-9) + -2 + ((-86618)/(-4095))/46.
10335
Let g = -59625/25112 + -2/3139. Let k(z) = -z**3 - 9*z**2 - 2. Let w be k(-8). What is the common denominator of g and w/9 - 4/8?
24
Let h = 912 - 901. Let z(q) = q**3 - 11*q**2 - 12*q. Let v be z(12). Calculate the lowest common multiple of h and (-2 + 1)/(-1 + v).
11
Let v(o) = -o**3 + 15*o**2 + 26*o + 166. Suppose 2*q - 37 = 23. Calculate the smallest common multiple of q and v(17).
30
Let j(k) = -33*k**3 - 3*k**2 + 2*k + 6. Let w be j(-5). Let m = 16107/4 - w. What is the common denominator of 107/12 and m?
12
Let x = -20/607 - 24587/9105. Find the common denominator of x and (-1 + 4)*(-67)/(-945).
315
Let l = -30521/18 - -1693. What is the common denominator of 31/18*(1 - 18/14) and l?
126
Let n = 90720 + -5443337/60. Let x = -510209/182460 + -62/3041. Find the common denominator of n and x.
60
Suppose 5*l + 867 = -753. Let j be ((-1)/l)/((115/(-10))/1). Let z = -80119/37260 - j. Find the common denominator of z and -163/60.
60
Suppose -3*h - 17*h - 280 = -540. What is the least common multiple of h and 183?
2379
Suppose 0*q + 5*q - 4*b = -929, -q + 5*b = 190. Find the common denominator of -43/2 and 1 + -1 + q/(-310) + 0.
62
Let a = -689989/616 - -7838/7. What is the common denominator of -111/44 and a?
88
Let p = -3280463515391/251922830 + -2/25192283. Let x = p + 13011. What is the common denominator of -51/8 and x?
40
Let f(p) = -p**3 - 6*p**2 + 7*p - 4. Let q be f(-7). Let g(t) = t**3 + 6*t**2 - 6*t - 28. What is the least common multiple of g(q) and 4?
28
Let c = 4540 + -4532. What is the lowest common multiple of c and 60?
120
Suppose 0 = 5*a - 2*x + 58, -2*a - 2*x - 1 = 11. Let c = 34 + a. Let j = -522 + 537. What is the lowest common multiple of c and j?
120
Let x = -1812571/2 - -59845931/66. Let k = -471 + x. Calculate the common denominator of (-1 - (-3)/5) + 2255/1650 and k.
330
Let t = 910 + -900. Calculate the least common multiple of 420 and t.
420
Let p = 77 + -49. Suppose -2*g - 5*i + 83 = -382, 3*g - 740 = i. Suppose 249*r - g*r = 48. What is the least common multiple of p and r?
84
Let c = 10980264057452493/147092 + -74648954787. Let y = c - -1/6686. Calculate the common denominator of -51/20 and y.
220
Let x(u) = u - 1. Let a(q) = 2*q**2 - 1185*q + 8447. Calculate the least common multiple of x(7) and a(7).
750
Let l be 24743/(-70) + 4/(-40). Let h = -39257/112 - l. What is the common denominator of -21/4 and h?
16
Let n = -217312 - -121477443/559. Find the common denominator of -93/40 and n.
22360
Let g(n) = 2*n**2 - 29*n - 82. Let z be g(-4). Suppose -4*l - 54 = 74. What is the common denominator of z/(-176) + (-1)/l and 95/44?
352
Suppose 6*p - 3*p - 4*a = 136, -4*p = -a - 164. Suppose -1402*k = -1422*k + 1100. What is the smallest common multiple of k and p?
440
Let i = -2259 + 2284. Let g = -58 + 77. Calculate the least common multiple of i and g.
475
Suppose 8 = -4*r, -3*m + 6*r - 10*r = 38. Calculate the common denominator of m/2 - 7*84/(-90) and -151/24.
120
Let x = 64795/3542 - 420/23. Calculate the common denominator of -87/506 and x.
3542
Let y(x) = -12*x - 22. Let l be y(-2). Suppose l*q - 43 = -c, 17*q - 20*q + 138 = 3*c. Calculate the least common multiple of c and 21.
147
Calculate the common denominator of -137/420 and (-18)/81*138*2/44.
4620
Let w = 777 + 318. Find the common denominator of 6/(216/w)*3/15 and 837/(-310)*5/12.
24
Let a(r) = 6*r**2 + r + 35. Let f be a(-7). Let i = f - 315. Calculate the lowest common multiple of 3 and i.
21
Suppose 0 = 85*m - 84*m - 108. What is the common denominator of 49/15 and 9/(9/(-34))*(-4)/m?
135
Let a = 23093 + -23090. Let c(j) = -2*j + 542. Calculate the smallest common multiple of a and c(0).
1626
Let m = -340 + 348. Suppose 81 = m*i - 15. Calculate the lowest common multiple of i and 18.
36
Calculate the lowest common multiple of 91 and (-34)/(-119) - (-94)/14.
91
Suppose 2*r = 6*r + 3*o - 327, 0 = -3*r + 3*o + 261. Let g = r - 76. Suppose 3*a + 15 = g*a