). What is the common denominator of (12/9 - 2)/(s/(-852)) and 137/36?
360
Let p(g) = -665*g + 1202. Calculate the lowest common multiple of 10 and p(-1).
18670
Let r = 3320 - 33149/10. Let y = -167643/122 - -1374. What is the common denominator of r and y?
610
Let x = -466 - -570. Suppose -5*q - 2 - 3 = 0, -4*q = -5*w + x. What is the least common multiple of w and 30?
60
Let j = 42560/59 + -167174087/231752. Find the common denominator of j and 107/88.
43208
Let u(r) = -r**3 - 19*r**2 + 23*r + 40. Let a be u(-20). What is the common denominator of 5/a*(-66)/12 and 95/18?
72
Let u(x) = -x**3 - 32*x**2 + 36*x + 111. Let c be u(-33). Let q = 17 - 17. What is the smallest common multiple of 18 and (q - -9)*c/18?
18
Suppose -79*k + 75*k = -88. Let g(x) = -x - 7. Let s be g(-10). Suppose -3*y = 4*a - 119, -s*y + 28 = a + 5. Calculate the least common multiple of k and a.
352
What is the common denominator of -83/8 and 3/1 + (-9790)/3208 + 161/1932?
9624
Let m = 1/672 + 281/4704. Let x = m - 1525/98. Let n = 47/3 + x. What is the common denominator of n and 109/14?
42
Let q(z) = 25*z + 87. Let y be q(-6). Calculate the common denominator of -67/32 and ((-26)/144)/(42/y).
96
Let n be ((-3)/54)/(15/(-267150)). Let o be 996 + -1 + 0 + -1. Let k = o - n. Find the common denominator of k and -73/3.
9
Suppose -31*r = -3291 - 1049. What is the least common multiple of 185 and r?
5180
Let j(b) be the third derivative of b**5/20 + b**4/3 - b**3 - 2*b**2 - 14. Let w(r) = -r**2 - r + 14. What is the lowest common multiple of w(0) and j(2)?
154
Calculate the lowest common multiple of (-15)/(2/36*10*(-501)/334) and 24*(1 + -3 + 3).
72
Let j = 15935 - 1003910/63. Find the common denominator of (-11)/42*(-15)/4 and j.
504
Let c be ((-274)/4 + 0)*(195 - 197). Let y be ((-382)/(-6))/((-8)/(-18)). Let w = y - c. Calculate the common denominator of 2/7 and w.
28
Let v be 2*-3*(1 + (-10)/5). Find the common denominator of 85/(-136)*v*1/2 and ((-316)/88 + 3)*3.
88
What is the smallest common multiple of 22 and 4/(-20) + 21662/10?
23826
Let j(c) = -7*c - 64. Let i(s) = -28*s - 256. Let f(m) = -2*i(m) + 9*j(m). Calculate the smallest common multiple of 96 and f(-13).
864
Suppose 0 = 33*o - 37*o + 12. Suppose -o*p = 140 - 158. What is the lowest common multiple of 11 and p?
66
Let h(c) = 4*c**2 - 114*c + 51. Calculate the common denominator of h(28) and -44/2859.
2859
Let x = -1042 + 10363/10. Suppose -3*r - 3 = -15. Calculate the common denominator of (-7 - -15)/8 - r/(-11) and x.
110
Let s(r) = r**3 + 33*r**2 + 26*r - 187. Let b be s(-32). What is the common denominator of ((-25)/(-30) + -1)*1*b and ((-39)/(-2) + 0)*-1?
6
Suppose -2*d - 6 = -p, p + 0*p + 2*d = 14. Suppose 12232*j = 12252*j - 120. Calculate the lowest common multiple of p and j.
30
Let a be ((-88)/(-924))/(800/(-402) + 2). Let q = -661/70 + a. What is the common denominator of 13/28 and q?
140
Let g be 13/(-11) - 16/(-88). Let l(c) = -2*c + 4. Calculate the least common multiple of l(-4) and (-7830)/(-81) + (-1)/(-3) + g.
96
Calculate the common denominator of (-16)/(-12) - 274/252 and 475/112*(-131)/655.
1008
Let w = -39 + 54. Suppose -4*r = -139 + w. Let c = 37 - r. Calculate the smallest common multiple of 10 and c.
30
Suppose -17 = z + l - 383, 0 = 2*z + 5*l - 729. Let w = z + -347. Calculate the lowest common multiple of w and 44.
220
Find the common denominator of -5/231 and (6/(-1029))/((-48)/224).
1617
What is the common denominator of (-1742)/134 - (-193)/18 and 11/486?
486
Let h = 2/10015 + -911369/20030. Let c = -185 + 316. Let z = c + -745/6. Calculate the common denominator of h and z.
6
Find the common denominator of 67/60 and ((-76)/798 - (787/630 - 1))*2.
180
Find the common denominator of (336/108)/14*(-987)/(-182) and -25.
39
Let z(a) = -a**2 - 12*a - 10. Let s be z(-8). Let r = -18 + s. Let c = r - 3. What is the smallest common multiple of 1 and c?
1
Suppose -5*m + 3 = 3. Let q be (0 - -2)*(m - (-35)/(-10)). Find the common denominator of 4/q - (-2630)/315 and 143/18.
18
Let z = 1754 + -1744. Suppose 6*c - 261 = 99. Calculate the least common multiple of c and z.
60
Let w be (78/4)/((-13)/((-3352115)/645)). Suppose 28094 = -4*g - 3086. Let z = g + w. What is the common denominator of 79/4 and z?
172
Let c = -105562007/507 - -208209. Find the common denominator of -19/39 and c.
507
Let d = 17394970283658896635 - 61390572654671683775586255/3529214. Let p = d - 53426793/149. Let t = p + 26/911. Calculate the common denominator of 13/3 and t.
78
Let v be 56/476 - (-1471)/357. Let a = v + -2477/84. Calculate the common denominator of a and -81/32.
32
Let b(a) = a**2 + 15*a - 107. Let d be b(-26). Suppose -11 = -4*r - d. Let p = -3181/621 - -7/621. Calculate the common denominator of r and p.
9
Let x = 39359 + -787181/20. Find the common denominator of x and 3/(-2)*76/(-708).
1180
Let h be (1314 - (-1 - 2))/((-9)/78). Let p = -137105/12 - h. Calculate the common denominator of p and 11/140.
420
Calculate the smallest common multiple of (-506)/(-161)*(-5 - -19) and 154.
308
Suppose -10*g = 13*g - 9*g - 238. Let z(x) = 4*x + 7. Let k be z(5). Let n = k - g. Calculate the smallest common multiple of 28 and n.
140
Let n = 2844/11 + -28143/110. Find the common denominator of 18/301 and n.
3010
Let o = -4009111/70 + 57275. Calculate the common denominator of -197/210 and o.
210
Let f = 125 + -127. Let b(x) = x - 1. Let m be b(f). What is the lowest common multiple of ((-10)/m)/(-1 - (-8)/6) and 12?
60
Calculate the common denominator of ((-11)/(-4))/(5/(-8)*312/390) and (-141)/(-21)*1/3.
42
Calculate the common denominator of -113/12 and 6578/1495*(-10)/(-1299).
5196
Suppose 14*i - 75 = -i. Suppose -5*z + 0*n = 4*n - 236, 4*n - 188 = -4*z. Suppose -z = -i*a + 2*a. Calculate the least common multiple of 24 and a.
48
Suppose -2*c - 204 = -7*c - 2*x, 0 = -5*c - 5*x + 195. Suppose -h = 2*h - c. Let p = -3 - -7. What is the least common multiple of p and h?
28
Let w = 161068 - 161012. What is the least common multiple of (4/3)/(2/12) and w?
56
Let c(k) be the third derivative of 11*k**6/120 + k**5/60 - k**4/12 + k**3/3 + 5*k**2. Calculate the smallest common multiple of 3 and c(1).
12
Let x = 9523/6 + -1599. Suppose 0 = -21*u + 17*u + 16. Calculate the common denominator of x and 171/(-12) - (-2)/u.
12
Let r = 7389 + -7385. What is the least common multiple of r and 464?
464
Suppose 0 = 5*a + f - 2832, -28*a = -27*a - 4*f - 600. Calculate the smallest common multiple of 12 and a.
1704
Suppose 8*c - 58 = 1078. Let s = -138 + c. Calculate the lowest common multiple of s and (-16)/(-2) - (3 - 1).
12
Let o be (4 - -10)*(-12)/(-3). Suppose 5*v + 5*t + 10 = 0, 0 = v + 4*t - 9*t - 10. What is the lowest common multiple of (54 - (v - 0))*o/42 and 2?
72
Suppose -3*r - 265 = -223. What is the lowest common multiple of 70 and ((-10)/(-2) + (r - -16))*5?
70
Let j be 2/(-7)*(4 - -3) + -4. Find the common denominator of 2142/324 - (-1 - j) and -71/12.
36
Let k be 12/248*(-6520)/(-66). Let f = 58/31 - k. Suppose y + 12 + 12 = 0. What is the common denominator of y and f?
11
Calculate the common denominator of 3039/21240 - (-3 - 50/(-16)) and -11/1416.
7080
Suppose 981 = -19*d + 2805. Suppose -3*x + 49 = -215. What is the smallest common multiple of d and x?
1056
Let n(k) = 6*k + 9. Let t(c) = -c**2 - c + 2. Let i(y) = 2*n(y) - 2*t(y). Calculate the smallest common multiple of i(-7) and 36.
252
Calculate the common denominator of 14/2 - 604*85/5712 and 137/612.
4284
What is the smallest common multiple of -4 + (38948/18 - 4/(-18)) and 96?
4320
Let h = -8039/7 + 1154. Suppose 16*u - 16 - 368 = 0. Suppose 0 = i + 2*f - 12, -40*i + 38*i + 2*f + u = 0. Find the common denominator of h and i.
7
Calculate the smallest common multiple of 50 and 38 - (-11)/(132/(-24)).
900
Let l(z) = -z**3 + 17*z**2 - 2*z - 35. Let p be l(15). Calculate the common denominator of 5/(-15) - p/60 and -11/192.
192
Let u = -1/2871 + -35369/114840. What is the common denominator of 13/432 and u?
2160
Let m be 4 + -7 - 20162872/(-480). Let q = m - 42000. Calculate the common denominator of ((-485)/(-20))/(3 + -1) and q.
120
Let g = -1227/10 - -23813/190. Find the common denominator of g and 83/5092.
5092
Let t be (-2 - 6/(-9))*-78. Calculate t