 4*m - 15. Let n = m - 18. Calculate the common denominator of ((-259)/70)/(n/(-15)*-3) and 73/16.
16
Let u(j) be the third derivative of 2*j**4/3 - 7*j**3 - 68*j**2. Calculate the smallest common multiple of 6 and u(3).
6
Let z(u) = -74*u + 2944. Calculate the lowest common multiple of z(36) and 216.
7560
Let q = -6142 + 6146. Calculate the smallest common multiple of q and 1408.
1408
Suppose -4*m + 541 = -2*k - 115, 2*m - 5*k - 344 = 0. What is the common denominator of (-3)/(2/((-232)/m)) and 3 + 6 - (-167)/(-6)?
54
Let i be (135/(-10) - -3)/((-1)/(-8)). Let d(j) = j**3 + 4*j**2 - 4*j + 4. What is the common denominator of d(-4) and i/105 - 269/(-55)?
11
Let g = -1953 + 1981. Let a(s) = -28*s - 7. What is the least common multiple of g and a(-2)?
196
Let i(o) = 2*o**2 - 17*o + 29. What is the lowest common multiple of 2534 and i(11)?
15204
Suppose l = -b - 472, -5*b - 42*l + 39*l - 2370 = 0. Let f = 11604422/23739 + -5/15826. Let n = f + b. Find the common denominator of 37/64 and n.
192
What is the common denominator of (85/75)/((-736)/(-1656)) and (12/(-10))/(104/110)?
260
Let i be -2*(5/2 + -3). Suppose -i = 3*l - 7. What is the common denominator of 107/18 and (-3)/(15/l)*(-6825)/252?
18
Let s = 3/170 - -1391/170. What is the common denominator of -5/48 and s?
240
Let p(y) = 302*y - 1829. Calculate the least common multiple of 63 and p(9).
8001
Let l(v) = -4*v**2 + 10*v + 42. What is the least common multiple of 896 and l(0)?
2688
Let h = -72607505/238 - -305075. Let l = h + -5/238. Calculate the common denominator of l and 36/37.
259
Suppose 191*x - 17173 = 5898 - 3016. What is the smallest common multiple of 930 and x?
6510
Suppose 5*z = 25, -32 = 3*s - 2*z - 2*z. Let f be 1375/22 + (-6)/s. Suppose 0 = -2*b - 0*b + f. Calculate the least common multiple of 16 and b.
32
Let w be (3/6)/((-5)/10) + -4. Let o = 2189/460 - 83/23. Find the common denominator of o and ((-25)/400)/(w/(-68)).
20
Let t be (2/(-6) - 0)/((-1)/(-3)). What is the smallest common multiple of (15/9)/(t/(-18)) and 39?
390
Let a = -10256 + 205041/20. Calculate the common denominator of a and 590/(-12)*483/(-805).
20
Let x = 17430 - 16562. Calculate the lowest common multiple of 217 and x.
868
Find the common denominator of 37/98 and ((-1096)/(-980))/(24/10).
294
Let n(z) = -2*z**3 - 7*z**2 + 14*z - 5. Let q be n(-7). What is the common denominator of (-3869)/(-477) + (-4)/(1 - -1) and (-9)/15 + (-1006)/q?
72
Let o = 3875/6201 - -8/159. Find the common denominator of o and (-10)/(-12) - 3/(-15).
1170
Suppose -4*y = -3*t - 14, 3*t - 2*t + 6 = 2*y. Suppose -5*u + 77 = y*u. Calculate the common denominator of (u/176)/((-2)/92) and 3/8.
8
Let i = -21209/10 - -2124. Find the common denominator of i and 97/550.
550
Suppose -4*y - 387 = -5*l, y + 0*y = 5*l - 378. Suppose -7*g + 188 - 62 = 0. What is the lowest common multiple of g and l?
450
Let p(n) = n**3 - 36*n**2 - 74*n - 80. Let x be p(38). What is the common denominator of 41/84 and x/(-96) + (-1)/(-4)*-1?
168
Suppose -2*a - 4*j = -13 - 29, a = -4*j + 31. Find the common denominator of -11/5 and a/(-63 + (-5)/15*-6).
305
Let s = 1103/12 + -2933/30. What is the common denominator of s and (-5558)/(-9620) + ((-85)/34)/((-325)/(-60))?
740
Let r = 111 - 13. Calculate the common denominator of r/(-54) - 4/6 and (-40)/(-7*1/((-4)/(-12))).
189
Suppose 5387 - 1956 = 16*b - 7097. What is the smallest common multiple of 188 and b?
1316
Let l be (-1)/3 - 598/(-12). Suppose -152 = -3*v + o, 29 = -4*o + 21. Let d = v - l. Calculate the common denominator of -119/20 and d.
20
Suppose p + m + 4 = 0, 0*m - 2*m + 55 = -5*p. Calculate the common denominator of (p + 4)*2/((-120)/284) and (-91)/24 - (-8)/12.
24
Suppose 5*z + 10 = 0, -z - 17 = -f - 2*f. Suppose y - 9 + 6 = 0, f*d + 4*y = 22. What is the smallest common multiple of 14 and d?
14
What is the lowest common multiple of 1573 and (1118/(-104) + 1)/((-2)/176)?
9438
Let w = -29 - -240/7. Calculate the common denominator of (132/352*(-2)/3)/(51/140) and w.
357
Suppose 11*f + 21042 = 5*f. Calculate the lowest common multiple of (f/126)/(1/(-6)) and 5.
835
Let o = 96 + -95. Calculate the smallest common multiple of o/((-67)/(-33) + -2) + -3 and 48.
240
Let s be (-4 - -1)/(-4*(-5)/(-40)). Let o be (26081/28 - s/(-21)) + 4. Let g = 944 - o. Find the common denominator of 97/170 and g.
340
Let q(f) be the third derivative of -f**4/24 + f**3/2 + 37*f**2. Suppose 4*y - m + 24 = -5*m, y = -4*m - 12. What is the least common multiple of 5 and q(y)?
35
Calculate the common denominator of -13 - ((-692)/624 + -12) and -37/48.
624
Let u(w) = 123*w - 115. What is the smallest common multiple of 23 and u(1)?
184
Let q be (-28)/(-42)*-3*2969/256. Let y = q - 7/128. Calculate the common denominator of -19/10 and y.
20
Let m(y) = 3*y**2 + 19*y + 9. Let n be m(-8). Calculate the common denominator of n/343 + 1334/(-616) and 71/32.
352
Suppose -4*p + 779 = 5*t, 0 = 2*p + t - 139 - 252. Calculate the common denominator of 1/4 + p/272 and -103/24.
408
Suppose 2*o - 3*k = 33, -2*o + 0*o + 30 = -2*k. Suppose -o = -4*q + 4. What is the common denominator of (-4655)/42*q/(-20) and -3?
6
Suppose -2*q - 5*l = -7*l - 310, 5*q = 3*l + 777. Calculate the common denominator of -123/160 and q/640 - (-24)/60.
160
Let y = -13025 - -495047/38. Let w = 3764/75 + 12/25. Let o = 1271/30 - w. Find the common denominator of o and y.
190
Let p be (2 - 14/6) + 541/435. Let l = p + -8559/3190. Let a = -2281/14 + 163. Calculate the common denominator of l and a.
154
Let q = -21/34 - -443/153. What is the common denominator of q and -81/82?
738
Let j(c) = c**3 - 22*c**2 + 14*c - 35. Let a be j(21). Let l be 2/((5 - 3)*-1). Find the common denominator of -27/22 and (1 - a/(-12))/((-3)/l).
198
Calculate the common denominator of (3/10)/(15 + (-74655)/5025) and -91/24.
96
Calculate the lowest common multiple of (-11)/(-2) + 2/4 and ((-9776)/(-286) + -34)/((-4)/(-154)).
42
Let t(s) = s**2 + 11*s - 148. Let o be t(8). Suppose -o*p = z - 164, 4*z = -5*p - 0*p + 216. What is the smallest common multiple of 8 and p?
40
Let v be ((-12)/14)/(5 - 106/21). Calculate the common denominator of 61/9 and 3 + v + 4/(-3) + 1.
9
Let k be (-2)/(-12)*7/((-56)/17844). Let w = -777/2 - k. Find the common denominator of 163/42 and w.
84
What is the common denominator of (10107/2246)/(60/(-34)) and (-614)/(-440) + 1/(-4)?
220
What is the common denominator of 2/4 + (-11742)/19912 and (1629/(-18) - -11)/6?
524
Let q(k) = k**3 - 3*k**2 - 4*k. Let z = 121 + -117. Let x be q(z). Let n = x + 18. What is the smallest common multiple of n and 30?
90
Suppose 0 = -2*d + 8 + 2. Suppose 4*h + 44 = 2*o + 140, -d*h - 3*o = -142. Let t = 63370 - 63352. Calculate the lowest common multiple of t and h.
234
Let i be 9/18*(2 - 0). Let b be (-2)/(587/(-195) + i - -2). What is the common denominator of ((-2224)/b)/4 + 36/45 and -52/3?
39
Let r be -12*(-1)/3 - 2. Let t(a) = 2*a**3 - a**2 - 2*a. What is the smallest common multiple of 198 and t(r)?
792
Let k be (-5)/((5 - 3) + -3)*5. Let c = k + -5. What is the common denominator of 5/6*(-127)/c and -23/3?
24
Let h = -96049/49212 + -28/1367. Let b = 584875 + -35092577/60. Find the common denominator of h and b.
180
Let o = -85 + 57. Calculate the common denominator of -103/14 and (-5)/35*(102/o + 1).
98
Suppose -5*c + 182*c = 1685 + 6811. What is the lowest common multiple of 402 and c?
3216
Suppose -5*s + 16 = -r, 5*s + 2 = 43*r - 40*r. Suppose 3*h + 31 = 3*t + t, -4*t - r = 5*h. What is the smallest common multiple of 36 and t?
36
Let r(s) = s**3 + 47*s**2 + 380*s + 67. What is the smallest common multiple of r(-17) and 176?
36432
Suppose 0 = -q - 3*a + 1, 2*q + 10*a - 2 = 8*a. Let t(b) = -68*b + 72. Calculate the lowest common multiple of t(q) and 20.
20
Find the common denominator of (28*(-2)/(-4))/((-96)/(-45)*-6) and -101/128.
128
Suppose 2*u + 1712 = 6*u - 4*b, -4*b = 4*u - 1672. Suppose 26*r - u + 111 = 0. What is the lowest common multiple of 14 and r?
84
Let g(v) = -v**2 + 67*v + 1735. Calculate the smallest common multiple of 11 and g(86).
1111
Suppose 4*w - b - 189 = 0, -28*w - 2*b = -25*w - 139. What is the least common multiple of w and 18?
846
Suppose 6*l - 4*k = l + 6, 2 = 2*k. Find the common denominator