f -i**6/60 - i**5/12 - i**4/4 - 9*i**3/2 + 112*i**2. What is the least common multiple of ((-9)/6 - 0)*-26 and r(-4)?
585
Let r be 1*-9*135/5*7. Find the common denominator of -32/33 and (1092/r)/((-2)/(6*1)).
297
Let i(x) = 40*x + 1370. What is the least common multiple of i(-29) and 150?
1050
Let x(c) = 15*c**3 - 3*c - 2. Let o(p) = p**3 - 4*p**2 - 3*p - 11. Let h be o(5). Let g be x(h). What is the lowest common multiple of (4 - g) + -4 - 2 and 33?
132
Let a(u) = u**3 - 25*u**2 + 31*u + 65. Let r be a(29). Calculate the common denominator of 79/24 and (-1)/5 - r/3360.
168
Find the common denominator of 56/1161 and -8*(-14)/(-1680)*(-62)/6.
5805
Let x(w) = -124*w - 11. Let l be x(-6). Let i = l + -5857/8. Let h = 35/8 - i. What is the common denominator of -7/12 and h?
12
Let c(u) be the third derivative of u**5/60 + 3*u**4/8 - 3*u**3/2 + 16*u**2. Let d be c(-10). Find the common denominator of (d/4)/((-9)/582) and -13/3.
6
Suppose 158*m + 120231 = 231*m. Calculate the smallest common multiple of m and 9.
1647
Let s = -2/45793 - -1374424/14516381. Find the common denominator of 79/10 and s.
3170
Let c = 213 + -209. Suppose 30 = g + c*i, -3*g + 51 + 39 = 4*i. What is the lowest common multiple of 15 and g?
30
Let s be 1/(-6) - (-2 + (-92)/(-24)). What is the common denominator of 198/4 + s/1 and 99/2?
2
Find the common denominator of -74/1329 and 14050/525 + -20 + -8*(-2 - -3).
9303
Let o be (14 - 13)*(-209246)/20 + 4. Let b = o - -10467. Find the common denominator of -111/50 and b.
50
Let n = 13 + 67. Let b = 97319 + -97223. Calculate the least common multiple of b and n.
480
Let n be (-10)/(-2) + 171/(-19). What is the smallest common multiple of 36 and (18/(-12) + 3)*(0 - n)?
36
Let t(q) = q - 15. Let w be t(15). Suppose w = -2*b + 7*b. Suppose b = -n + 5*v + 35, -2*n - 2*v = 2*v. Calculate the lowest common multiple of 7 and n.
70
Suppose -84*p + 87*p = s - 132, -2*p + 16 = 0. What is the least common multiple of 168 and s?
2184
Let o be (0 + 4)*(-6)/4. Calculate the common denominator of 99/(-12)*(728/585 + (-12)/(-60)) and (2/o)/((-42)/138).
84
Let z = 1784149/1352088 - 2/18779. Find the common denominator of (-37)/(-16)*36/15 and z.
360
Suppose -819 + 147 = -6*i. Calculate the least common multiple of 192 and i.
1344
Let g = -68491/42 + 3255/2. Calculate the common denominator of g and 22/9.
63
Let f = -954769 - -1002507643/1050. Find the common denominator of 127/450 and f.
3150
Let a = -51855 - -5393019/104. Find the common denominator of -37/32 and a.
416
Let z = 4982/7 + -711. Let u(v) = -12*v**3 + 2*v**2 - 6*v + 2. Let l be u(3). Calculate the common denominator of z and (-12)/21*l/36.
63
Calculate the common denominator of (-4176)/(-615) + (-77)/((-44)/(-4)) and 13/123.
615
Let b be (-7365)/35 + ((-96)/(-28) - 3). Let v = b + 224. What is the lowest common multiple of 56 and v?
56
Let p = 236 + -222. Suppose 7*f - p = -7. What is the least common multiple of f and 11?
11
Let s be (3/2394*6)/(1522/298426). Let y = 3/5327 - s. Find the common denominator of y and -53/4.
76
Calculate the lowest common multiple of (-2)/1*(-2 + 1/2) and 7/56 + ((-1635)/(-40) - 0).
123
Let a = -857101/27 + 31741. Let m = a + 4447/1890. What is the common denominator of m and 23/(-2)*(-2)/2?
70
Suppose -3*z = 5*g + 46, -z + 0*g - 27 = 4*g. Calculate the common denominator of (-3)/z - (-5679)/126 and 49/19.
38
What is the smallest common multiple of 9 and (-249)/(-4) + ((-10)/(240/(-18)) - 0)?
63
Let h = -197/5 - -2209/60. What is the common denominator of (-2)/7 + (-4 - 869/(-126)) and h?
36
Let f = 22333995/397 + -56257. Let g = 2935/2 - 1430. What is the common denominator of g and f?
794
Let h = -24057/46 + 523. Find the common denominator of h and -10/3.
138
Let s(t) = t**3 + 40*t**2 + 37*t - 58. Suppose -2*z = -0*z + 78. Let k(y) = y**2 - y - 4. What is the smallest common multiple of s(z) and k(-4)?
80
Suppose 2*g + 4*p - 24 = 0, g + 3*p + 48 = 5*g. Let t(d) = -d**2 + 11*d + 8. What is the smallest common multiple of (1/2 - -1)*g and t(11)?
72
Suppose 2*j - 51 + 19 = 0. What is the common denominator of (782/(-690))/(j/(-6)) and -93/32?
160
Let k = 3749520619500549179/27999 - 133916233435136. Let w = 239856/1037 + k. Let v = -15837 - w. What is the common denominator of 77/30 and v?
270
Suppose -4*l + 32*b - 35*b + 31 = 0, 0 = 5*l - 4*b. What is the lowest common multiple of 54 and l?
108
Suppose -3*h - 4*m = -4*h + 39, -2*h + 63 = -5*m. Let d = 2664 - 2669. Let p = h + d. Calculate the least common multiple of 2 and p.
14
Suppose 0 = 4*p - 45 + 145. Let r be ((-8)/(-10))/(p/(-125)). Suppose g + 1 = -5*f - 4, r*g - 4*f - 52 = 0. Calculate the lowest common multiple of g and 20.
20
Let o = 142081/27 + -5263. Calculate the common denominator of (-147)/15 + 2 + -3 and o.
135
Let u be (-7*(-2)/4)/(-271)*-2. Let m = u + 5009/5420. Calculate the common denominator of -37/468 and m.
2340
Suppose 2*t + 522 - 130 = 9*t. Calculate the smallest common multiple of 168 and t.
168
Suppose -2*x + 11912 = -29832. Let o = x - 793083/38. What is the common denominator of -3/2 and o?
38
Suppose o + 3*g = 8, 0*o - 3*o - 5*g + 16 = 0. Suppose 3*c + o*a + 48 = 11, 2*a + 19 = -c. Let h = -38 + c. What is the common denominator of -13/7 and h?
7
Let n(g) = -27*g - 780. Let v(z) = -2*z + 19. What is the lowest common multiple of n(-29) and v(9)?
3
Let a = 19/1379 + 107/16745. Calculate the common denominator of -121/36 and a.
21420
Let d = 7980 + -279234/35. Let b = -3061/140 - d. Find the common denominator of b and -81/40.
40
Let b(m) = 7*m**2 + 20 - m**3 - 8 - 3 - 7*m. Suppose -5*i + 15 = l - 73, 5*i + 5*l - 80 = 0. What is the lowest common multiple of b(5) and i?
72
Let g(h) = 2*h**2 - 2*h + 5. Let n(c) = -4*c**2 + 127*c - 63. Calculate the lowest common multiple of g(5) and n(31).
90
Let u(a) = -a**2 + 13*a - 16. Let l be u(7). Suppose -4 = -6*w + l. Calculate the common denominator of 55/38 and (w/(-55))/(2/(-105)).
418
Let k = 246179/33318 - -2/16659. Calculate the common denominator of k and 0 - ((-118)/48 - -4).
72
Let z be 1*(-2)/(-8) - 78565/(-380). What is the least common multiple of 5 and (5 - z/36)/((-1)/88)?
330
Calculate the common denominator of 55/9 and 1/2 + (1925/2090 - 1/3).
171
Suppose 2*g = -3*n + 68, 4*n + 12*g - 88 = 10*g. Let w = 1 - -11. Calculate the lowest common multiple of n and w.
60
What is the common denominator of (-25)/15 - 399/63 - 1865/(-228) and -37/2128?
6384
Let h(i) = -i**2 - 16*i - 11. Suppose -t + 13 + 11 = 3*v, 3*v = 4*t - 36. Calculate the least common multiple of h(-13) and t.
84
Let v = -128560 + 38568061/300. What is the common denominator of v and -131/126?
6300
Let w = -4031389/1100 - -3665. Calculate the common denominator of -35/4 and w.
1100
Let x be -1 + -4*23/(-8)*-14. Calculate the common denominator of ((-114)/x)/(3/9) and ((-13)/(-14))/(3/10).
63
Let z be 24/16*(1 - 0)*6. Suppose z*g = 238 + 158. Let i(u) = -u**3 + 7*u**2 - 4*u + 6. Calculate the least common multiple of g and i(6).
396
Let z(m) = 7*m**2 - 2*m. Let a be z(2). Let w be ((-84)/a)/(2/(-4)). Suppose w*j - 7 = 21. What is the smallest common multiple of j and 8?
8
Suppose 76962 = 25*w - 12638. Calculate the least common multiple of w and 1536.
10752
Let k be (0 - (1 - -2))/((-3)/4). Suppose 248 = 3*q - 2*g, k*q - 16*g - 332 = -13*g. What is the lowest common multiple of q and 80?
80
Suppose -5*v + 132 = -153. Suppose -22 = 5*r - v. Suppose -5*y + r*y - 14 = 0. Calculate the least common multiple of y and 8.
56
Let c = -21359/219260 + -91/2308. Find the common denominator of c and 236/342 - 1/3.
855
Let m = 58 + -86. Calculate the common denominator of 77/32 and 905/(-12)*m/(-1400).
480
Let n = 14988 + -14985. Suppose 0 = 5*l - 0*x - 3*x - 180, -4*x = -5*l + 180. Calculate the lowest common multiple of n and l.
36
Suppose 5*v + 148 = -107. Let o = -47 - v. What is the common denominator of -75/8 and o + (-4 - (-75)/66)?
88
Let u be 0/(-5) + 2/(-1) + 0. Let y be (7 + 11/u)/(6/32). Suppose 0 = y*p - 5*p - 54. Calculate the least common multiple of p and 74.
666
Suppose 3*u + 129 = 150. Suppose 5*n + 5*s = 3*n + 19, -3*s + 17 = 2*n. Calculate the least common multiple of n and 9/u*(-28)/(-6).
42
Suppose -2 = -2*y - z + 6*z, -y = 4*z - 27. Let i = y