10.
9110
Let a = 261 - 262. Calculate the common denominator of -63/80 and (-2)/(-10)*a + (-87)/(-80).
80
What is the common denominator of 41/1500 and (732/(-90))/(3/(45/1955) + 3)?
3000
Calculate the common denominator of -43/112 and 86/4*(-6)/(-152)*50/(-75).
2128
Let b = 6 - 3. Let g = b - 34. Let x = g - -51. What is the lowest common multiple of 14 and x?
140
Let m = 77880 + -77870. Let u(c) = -c**2 - c + 1. Let f(g) = g**2 + 2*g - 1. Let y(s) = 2*f(s) + 3*u(s). What is the common denominator of m and y(0)?
1
Suppose -15*r + 104 = -220 + 24. What is the smallest common multiple of r and 4240?
4240
Let n = 13184069/6 - 2189133. Let r = -8187 + n. Calculate the common denominator of r and 43/26.
78
Let t be (113*2)/(2/(-656)*-8). Suppose 1066 = 28*i - t. Calculate the lowest common multiple of i and 3.
369
Suppose 10*q = 2886 + 3459 + 455. What is the smallest common multiple of 340 and q?
680
Suppose -71 = 4*v - 55. Calculate the least common multiple of 43 + v + (9 - 3) and 30.
90
Let v be (-3)/9 - (-11171)/3522. Let o = 20618 + -12102763/587. Let f = v - o. Calculate the common denominator of f and -73/24.
24
Let h = 2077/630 - 59/126. Let s be (-5)/((-2800)/436) + 3. Let f = s - h. What is the common denominator of f and 123/10?
20
Let j(b) = 673*b - 599. What is the smallest common multiple of 6 and j(3)?
4260
Let f = -138 + 59. Let w = f - -82. Calculate the common denominator of 103/10 and (6/w + (-10)/4)*49.
10
Calculate the common denominator of 29/3 and (-16946)/(-9472) + (-3 + 5 - 4).
384
Let q(w) = -w**2 - 51*w + 158*w - 54*w + 3 - 47*w. Calculate the least common multiple of q(5) and 8.
8
Let j(c) = -48*c - 64. Let i(d) = d**3 + 10*d**2 + 13*d + 16. Calculate the smallest common multiple of i(-8) and j(-2).
160
Let b(i) = 5*i**2 - 2*i - 10. Let f be b(-5). Let m = -93 + f. What is the lowest common multiple of m and 40?
160
Suppose 3*m - 4*o = 22, 0 = -3*m - 3*o + 15. Calculate the least common multiple of (4/m)/((-29)/(-1566)) and 60.
180
Let f = 1183 - 276. Let k = 1598 - f. Let i = 1437/2 - k. What is the common denominator of i and 107/34?
34
Suppose -237*u + 613*u = 7520. Let m = 54 - -46. Calculate the least common multiple of u and m.
100
Let b(x) = -2*x**2 + 25*x + 6. Let g be b(13). Let y = 10817/156 - 974/13. Let q = y + g. Calculate the common denominator of -85/26 and q.
156
Let m(c) = -c**2 + 3*c. Let w be m(2). Suppose 5*l + 6*v = w*v + 92, -5*l + 83 = v. Calculate the common denominator of 2/l*-1*(-830)/20 and -11/4.
16
Let t be -95*3/30*2*-4. Suppose -t + 85 = b. Let w(c) = c**3 - c**2 + c + 10. Calculate the lowest common multiple of b and w(0).
90
Let y(x) = 4*x + 119. Let r be y(-27). Let n(z) = z**3 - 11*z**2 - z + 18. What is the lowest common multiple of 63/4 - 4/(-16) and n(r)?
112
Let a be ((-98)/(-14) + -7 + 1)/1. What is the common denominator of (-12)/(1296/750)*a*-3 and 59/30?
30
Let a = 28208899/200 + -141045. Find the common denominator of -119/520 and a.
2600
Suppose 3*z = 2*v - 8543, 2*z - 2*v = -3512 - 2184. Find the common denominator of 113/30 and ((21/54)/(-7))/(52/z).
120
Suppose -6*m = 9*m + 1200. What is the lowest common multiple of (5 - (-42)/(-30))/((-6)/m) and 66?
528
Let f = 2193 - 2160. What is the least common multiple of 504 and f?
5544
Find the common denominator of (-43)/(-774)*5/(300/(-138)) and 1/16.
720
Calculate the common denominator of (-7)/20*(14 + 23/161) and -11/40.
40
Let q = 183 + -315. Let v = 913/7 + q. What is the common denominator of (-1)/(6 + -1)*(-24)/16 and v?
70
Suppose f - 3*l - 27 = 0, 14 = 4*l + 2. Let t(i) = -i**2 + 37*i - 12. What is the least common multiple of t(f) and 39?
312
Let u be 2 - 4489/(-1540) - (17 - 12). Let g = u - -2/1155. Calculate the common denominator of 43/24 and g.
24
Suppose -29*a + 14*a + 90 = 0. Calculate the lowest common multiple of a and 1/1*7/((-63)/(-1242)).
138
Let h = 349 + -332. Let g = 41 - h. What is the smallest common multiple of 24 and g?
24
Let g be 14/(-3)*(4 + 2)/(-1). Calculate the common denominator of -113/28 and ((-23)/11)/((266/g)/19).
308
Let r be 13 + -2 + -6 - 3. Let x be 3/((-3)/20)*-8. Calculate the common denominator of (104/x)/((r/2)/(-14)) and 103/10.
10
Let h(p) = 26*p + 519. Calculate the lowest common multiple of h(10) and 369.
7011
Let w(o) = 73*o + 51. Let g(l) = -l**2 - 18*l - 32. Let y be g(-2). Calculate the least common multiple of w(y) and 4.
204
Let a(v) = -2*v - 19. Let f be a(-10). Suppose -f = y + r - 3, 3*r = -y - 4. Let m = -611/6 + 185/2. Calculate the common denominator of m and y.
3
Suppose -1012*p + 1084*p - 807 = -87. What is the least common multiple of 140 and p?
140
Let g = -9656 + 2587833/268. Find the common denominator of -43/54 and g.
7236
Let l(t) = 4*t**2 - 32*t + 4*t**2 + 1 - t**3 + 13*t**2 - 9*t**2. What is the lowest common multiple of 131 and l(8)?
131
Let g = 1446 - 4883. Let a be (-1931392)/560 + 1 + (-9)/7. Let w = a - g. Calculate the common denominator of w and 43.
5
Let r = -5202 + 5220. What is the smallest common multiple of r and 100?
900
Let x = 799411/120 + -6661. Calculate the common denominator of -119/120 and x.
120
Let y be 832/24*((-15)/(-2))/5. Let l = y - 27. Calculate the lowest common multiple of 2 + (5 + -3 - -4) and l.
200
Suppose -235*x - 80 = -251*x. What is the smallest common multiple of 40 and x?
40
Let x(y) = 8*y + 12. Suppose 30 = -3*n + 39. Let v be x(n). What is the common denominator of ((-74)/v)/(-5 + 7 + -3) and 38/21?
126
Let d = 1024023233/1491 - 686803. Find the common denominator of -46/45 and d.
22365
Calculate the common denominator of (2/(-7))/((-2)/13) and (-221)/(-238)*70/(-21).
21
Suppose -10 + 18 = 2*w. Suppose g - 3*c = -3, -w*c + 0*c + 36 = 4*g. Calculate the lowest common multiple of g and (-31)/(-3) + 4/6.
66
Let l = -339149/95 + 3570. What is the common denominator of l and 59/22?
2090
Let x = 1/7331 + 623097/278578. What is the common denominator of 47/32 and x?
608
Let b(a) be the third derivative of a**6/120 - a**5/3 + 23*a**4/24 + 41*a**3/6 - 38*a**2. What is the least common multiple of 91 and b(19)?
819
Let z(u) = 139*u - 262. What is the smallest common multiple of 6/4 + 9/2 and z(2)?
48
Let b = -30017 - -30833. Calculate the least common multiple of 4 and b.
816
Let l(i) = 11*i**2 + 12*i + 7. Let t be l(-10). Let u = 7911/8 - t. What is the common denominator of u and 19/16?
16
Let a = 4693841/1268 - 14807/4. Find the common denominator of a and 25/74.
23458
Suppose 4*q - 4088 = 4*g, -11*q = -6*q + 2*g - 5138. Suppose -q = -8*o - 450. Calculate the lowest common multiple of 63 and o.
504
Let k be ((-756)/147)/((-4)/42). Find the common denominator of -7/69 and 5/((-90)/(-68)) - (-18)/k.
207
Suppose 2*m + 15*m - 986 = 0. Suppose -2*g + m = -2*o, 4*g + o - 50 = 41. Calculate the lowest common multiple of 9 and g.
72
Let b(c) = -4303*c + 2. Let n be b(4). Let g = -309919/18 - n. Let h = 48/175 + -10489/3150. Find the common denominator of g and h.
18
Let a = 90 + -629/7. Let r = 15 + -17. Find the common denominator of r/(-7) + 660/(-546) and a.
91
Suppose -2*y + 238871 = -202657. Let g be y/4928 + 8/(-44). Let o = g + -318/7. What is the common denominator of -29/2 and o?
16
Let x = -398/157 - -3655/1256. Find the common denominator of x and (-130)/(-88) + (-1 - 0).
88
Suppose 0 = -158*x + 86311 + 626585. Calculate the least common multiple of x and 24.
4512
Let l = -5883 - -7265507/1235. What is the common denominator of -66/455 and l?
8645
Suppose -4*v + 185 = 5*x, 2*v + x - 45 = v. Let b = -66419 - -66459. What is the smallest common multiple of v and b?
40
Suppose 20220*c = 20313*c - 17670. What is the smallest common multiple of c and 1285?
48830
Let m be 5562/(-105) + 1/(21/(-9)). Let h = 2091/40 + m. Find the common denominator of h and 69/104.
104
Let j = -1217225/975982 + 531/433. Calculate the common denominator of j and 11/196.
4508
Let x = 44423 + -41935327/944. Find the common denominator of x and 37/100.
23600
Let a = -10958567/120 + 91320. Find the common denominator of a and 71/348.
3480
Let q = -129 - -164. What is the least common multiple of 1/4 - q/(-20) and 56?
56
Suppose 4*b + 5*w - 48 = 9*w, -4*w = 4. Suppose 0 = -3*n - x + 37, -15*n + 50 = -b*n + 2*x. What is the least common multiple 