-p**2 - 31*p - 120. What is the lowest common multiple of t(-21) and g(-2)?
180
Calculate the common denominator of -91/176 and ((-507)/988)/13*((-1)/8 - -4).
6688
Let f(n) = -n**2 + 26*n + 8. Let w be f(22). Let p = 102 - w. Let v = -27 - -37. What is the least common multiple of v and p?
30
Let x = -749/8 + 15725/168. What is the common denominator of -25/294 and x?
294
Let g(i) = -22*i**2 - 6*i - 12. Let z be g(-3). Let s = z - -240. Calculate the least common multiple of 80 and s.
240
What is the common denominator of 39*(-477)/(-1620) - (85/25 + -3) and -103/2340?
2340
Suppose -3*p + 200 = 2*c, -5*p = -3*p + c - 135. What is the common denominator of 29/65 and (-41)/p - (1 + (-15)/6)?
455
Let b(v) = 7252*v - 87006. What is the smallest common multiple of b(12) and 1*20 - (0 + 0)?
180
Let c(o) = o**3 - 2*o**2 - 5*o + 2. Let n = -66 - -69. Suppose -n*v = -3*y + 3, 3*y - 3*v = -v + 6. What is the lowest common multiple of c(y) and 2?
14
Let m = 2664/973 - 3129811/1115058. What is the common denominator of 41/20 and m?
11460
Let l be ((-8)/84)/(80/6423). Let t = l + -3/56. Find the common denominator of (-107)/18 - (-2)/4 and t.
90
Find the common denominator of -45/28 and (-9134)/2632 - (2/(-12))/(44/924).
1316
Let q = 33 - 11. Let k be ((-6351)/116)/(10/16 - 1). Suppose -k*h = -141*h - 45. What is the least common multiple of q and h?
198
Suppose -5*g = 3*x - 2*g, -g = -5*x + 12. Suppose 12 + 12 = -x*h. Calculate the least common multiple of 20 and 2/6 + (-1316)/h.
220
Let v(f) = -47*f - 464. What is the smallest common multiple of v(-16) and 624?
3744
Let i be (5 - 117/26)/(2/4). What is the smallest common multiple of i/((-2)/(-5) - (-44)/(-160)) and 3?
24
Let l(h) = 4*h**2 - 15*h + 52. Let o(s) = s**2 + 1. Let b(p) = -l(p) + 5*o(p). Calculate the lowest common multiple of 56 and b(3).
56
Let z be 1 + 10648/18 - (-332)/747. What is the lowest common multiple of -5 + -9 + 15 + z and 22?
594
Let a(n) = -n**2 + n - 2. Let p be a(0). Let b = -12402 + 148711/12. What is the common denominator of p + (81/(-42) - -2) and b?
84
Let s(f) = 117*f + 4. What is the least common multiple of s(0) and 1572?
1572
Let p = 1/7094 + -134811/177350. Find the common denominator of (51 - 14202/297)*3/(-50) and p.
550
Calculate the common denominator of -137/1890 and (-100)/336*(-10)/(100/(-27)).
7560
Let c = -36379/260 + 1778/13. What is the common denominator of c and 66/2 - 1829785/58600?
40
Let p(i) = 11*i**3 - 6*i**2 + 12*i - 44. What is the smallest common multiple of 14 and p(4)?
4284
Let z = -10 - -25. Suppose 0 = -21*u + z*u + 108. What is the smallest common multiple of u and 78?
234
Let o = 1438/1355 + -2125673/2162580. Calculate the common denominator of o and -83/336.
6384
Let d(h) = 11*h - 5*h**2 - h**2 + 9*h**2 + 11. Let y be d(-3). Calculate the smallest common multiple of 3/(y/(-45)*-3) and 24.
72
Let i = -76021/18 - -4219. What is the common denominator of 43/639 and i?
1278
Let s = -85/3 - -119/6. Let z = -836534/154349 + 168/31. Let t = z - -54859/224055. Calculate the common denominator of s and t.
90
Let f be 3 + (-250)/80 - (-690)/16. Suppose -13 = -b - 3*a, -19 = -5*a - 4. Suppose -f - 5 = -b*v. Calculate the least common multiple of v and 27.
108
Let i = 6862 + -82463/12. Find the common denominator of -7/816 and i.
816
Suppose -t + 4*t = 5*k + 44, 5*t = -4*k + 98. Let q be 4/3 - (-11)/(-33). What is the least common multiple of t and 36/(5 - q) - 0?
18
Find the common denominator of (34/(-8) + 2)/(21/6) and 53/77.
154
Let j(q) = q**3 - 6*q**2 + 13*q - 80. Let y be j(6). What is the common denominator of 113/18 and (3/108)/(220/(-105) - y)?
72
Let a = -23289479/364 - -63982. Find the common denominator of 1/91 and a.
364
Let f(m) = 65*m**2 - m + 1. Let j be f(-1). Let p = 121 - j. What is the smallest common multiple of p and 18?
54
Let o = -21 + 65. Let g = o - 92. Let s = 88 + g. What is the least common multiple of s and 1?
40
Suppose -38 - 28 = 11*w. Let p = -55733/18 - -3100. Calculate the common denominator of p and ((-4510)/(-420) - 9) + (-2)/w.
126
Let x = 532 + -372. Calculate the smallest common multiple of (64/(-12))/(((-654)/(-108))/(-109)) and x.
480
Let u be (-462367)/(-60) + 4/20*-2. Let k = u - 38536/5. What is the common denominator of -95/48 and k?
240
Suppose -m - 265*m = -3192. Calculate the smallest common multiple of m and 12858.
25716
Let q(p) = 4*p + 46. Suppose 0 = 2*u + 3*o - 8*o + 16, 4*o + 32 = -4*u. What is the lowest common multiple of q(u) and 284?
1988
Let s be (-1672)/60 - 4/30. Let f = s + 35. Let n = f + -1. Calculate the smallest common multiple of 1 and n.
6
Suppose -58*a + 212795 = -90835. What is the least common multiple of 39 and a?
68055
Suppose -3*w + 26393 = 10*y, 0 = y + 11*w - 7*w - 2643. Calculate the smallest common multiple of y and 14.
5278
Let l be (-17 + 227)*11*(-1)/(-2). Let r = l - 3422/3. Find the common denominator of -31/24 and r.
24
Let z be (-327)/(-12) + (4 - 102/24). What is the lowest common multiple of 20 and 1760/180 - (0 + (-6)/z)?
20
Let m(v) = 9*v - 96. Let h be m(10). Suppose y - 3 = 1. What is the common denominator of -47/6 and 1/(h/y)*(-1692)/(-336)?
42
Suppose -8*x - 3973 = 1179. Let q = -6453/10 - x. Calculate the common denominator of q and ((-6)/(-16))/(1/132).
10
Suppose -4*j = 5*c - 32, -c = 3*j + 13 - 15. Suppose u = -5*k - 98, -u - 3*k = 3*u + 307. Let r = -42 - u. Calculate the smallest common multiple of c and r.
248
Let c be (0 - (-7)/2)*(-2800)/40. Let a = c - -265. What is the lowest common multiple of a and 458?
4580
Suppose -5*w + 11*h = 12*h - 176, -3*h + 165 = 4*w. Let o(i) = -i**2 - 7*i - 1. What is the lowest common multiple of o(-6) and w?
165
Suppose 0 = 432*b - 43*b - 32160 - 64312. Calculate the smallest common multiple of 232 and b.
7192
Let k = 324 - 245. Let m = k - 43. What is the lowest common multiple of 48 and m?
144
Suppose -d - 3 = g + 4*g, 3*d + 9 = -2*g. Suppose 3*p - 3*k + 2*k - 19 = g, 0 = -p - 3*k + 23. What is the lowest common multiple of 20 and p?
40
Let k = 1946 - 1934. Calculate the least common multiple of 27 and k.
108
Let r = -41238/11 + 3750. Calculate the common denominator of r and 97/2.
22
Let r = -2410 - -681. Let u = r - -6953/4. Calculate the common denominator of 93/10 and u.
20
Let i be (0 - 44/(-4076))*(2 - 1). Let g = 7631472222/7 - 46658822142067/42798. Let z = g - i. Calculate the common denominator of z and 45/2.
6
Suppose 0 = -5*t - v + 54, 4*t + 5*v = v + 56. Find the common denominator of 3/(-45) - (-4)/(-2) and 4/t + ((-239)/90)/(-1).
90
Suppose 80*n + 68 = 2*d + 77*n, -68 = -3*d - 4*n. Calculate the lowest common multiple of 11 and d.
308
Let x(t) = t**3 + 8*t**2 + 18*t + 38. Let r be x(-7). What is the common denominator of 8/27 and 3666/2376 + r/33 + 1?
108
Let b be 4/9 + (-30434)/(-6120). Let p = -1/1530 + b. What is the common denominator of 37/52 and p?
156
Suppose -5*g = -r - 11, -5 = r + g - 0*g. Calculate the common denominator of (-5 - (-35)/r)*(-1)/(-4) and (-6)/(-15)*5 - (-33)/63.
168
Let b = 769 - 7651/10. Let u = -1216 + 1728. Let l = -933/2 + u. Find the common denominator of b and l.
10
Suppose -89088 = -2317*y + 2301*y. What is the least common multiple of 261 and y?
16704
Let p = 1349/10 + -96623/720. Calculate the common denominator of 41/45 and p.
720
Let h = -29 - 34. Suppose 202*l + 193*l - 750 = 405*l. Let g = h - l. What is the lowest common multiple of g and 8?
24
Suppose -9*k + 13*k - 6*i - 90 = 0, 63 = 4*k + 3*i. Let z(a) = -3*a + 2. Let r = 2 + -4. What is the smallest common multiple of k and z(r)?
72
What is the least common multiple of 10 and (-3)/(5100/(-565) + 9)?
1130
Let g(q) = q**3 - 2*q**2 + 2*q + 8. Let y(h) = -h**3 - 11*h**2 + 11*h - 15. Let u be y(-12). What is the smallest common multiple of ((-5)/15)/(u/846) and g(0)?
376
Calculate the lowest common multiple of (-2)/(-49) - 1866719/(-833) and 3.
2241
Let y = -81 - -85. Suppose 4 = -2*o + y*o. What is the smallest common multiple of 44 and o?
44
Calculate the least common multiple of (-2)/2*((14 - 14) + -64) and 14.
448
Let i = 12 - 10. Let k = 2219/246 + 170/41. What is the common denominator of i/8 + (-865)/180 and k?
18
Suppose 0 = 5*b - t - 1874, -23*t + 749 = 2*b - 24*t. Calculate the lowest common multi