95/(-50) + -1). Let w = c + 938. Find the common denominator of -18/185 and w.
185
Let v be 6*(7 + 1075/(-15)). Let d = 410 + v. Calculate the lowest common multiple of d and 36.
396
Let x = -164 + -299. Let r = 5/5506 - 5024235/11012. Let l = r - x. What is the common denominator of 5/26 and l?
52
Suppose t - 83 = -2*r, 3*t = -2*r + t + 78. Find the common denominator of 606/9*3/r and -19/178.
1958
Let l be ((-2382)/4)/((-114)/(-76)). Let o = l + 409. What is the lowest common multiple of o and 3?
12
Let l be (-21)/6*3/(63/(-12)). Let r be l + (-49*(-3 - -2) - 0). Let n = 78 - r. What is the smallest common multiple of n and 24?
216
Calculate the common denominator of 31/36 and (30/75 + (-281)/840)*(-1183)/260.
1440
Suppose 4*g = -2*g + 24. Suppose 3*v - g*v = -138. What is the common denominator of (4/(-32))/(v/134 + -1) and -89/2?
16
Let d = -20407/2 + 10239. Calculate the common denominator of -61/6118 and d.
6118
Let b be (-2)/(2/3) + (-27630)/(-40). Let r = b - 679. Let z = -242/21 - -4271/336. What is the common denominator of z and r?
16
Suppose -2*z - 5*k + 1907 = 0, -2*z + 4*k + 1477 + 511 = 0. What is the lowest common multiple of z and 4636?
18544
Suppose 0 = 52*m - 241*m - 42*m + 7623. Calculate the least common multiple of 15138 and m.
166518
Let b = 2549 + -10275/4. Calculate the common denominator of (-18)/72*(9/7 + -3) and b.
28
Let v(y) = 29*y - 5. Let m be v(1). Find the common denominator of 30/240 - (-505)/m and -31/40.
120
Suppose 0 = 2*u + 5*s - 3939 - 446, -4*s + 2185 = u. Calculate the smallest common multiple of u and 1323.
6615
Let x = 2/5321 - -47869/53210. Calculate the common denominator of -8/389 and x.
3890
Suppose 9*r - 18 = 144. Suppose 3*a + 0*a = r. Let p(u) = u**2 - 3*u - 1. What is the least common multiple of 4 and p(a)?
68
Let v = -67185 + 36980. Let d = -725051/24 - v. Find the common denominator of d and (-6)/21 + 397/42.
24
Suppose 578850 = -4*l + 2*t - 1378956, 3*l + 1468353 = 3*t. Let r = 16168725/32 + l. Let p = r - 15822. Find the common denominator of p and 97/22.
352
Let a(i) = -391*i + 28. Let c be a(-4). Find the common denominator of (2 - 0) + c/(-832) and -29/13.
104
Suppose -5*u + 90 = -3*l, 0 = -u - 7*l + 5*l + 5. Calculate the least common multiple of 46 and 303/u + 5/(-25).
460
Suppose 4*n = -4*t + 60, n + 4*t = -4*n + 70. Let o = -79 + 83. Suppose 500 = 5*d + 2*v, v - o*v - 181 = -2*d. What is the smallest common multiple of d and n?
490
Calculate the lowest common multiple of 6864 and 16696/23 + 110/1265.
75504
Suppose 3*n + 175 = x, -4*x - x + 275 = -5*n. What is the common denominator of 158/n - (-2)/(-10) and (11 + -15 + 388/90)*(-1275)/100?
30
Suppose 5*u - 1015 = -1000. Suppose -193 = -5*g - u*a, 2*g - 86 = -0*g + a. Calculate the lowest common multiple of 8 and g.
328
Let b be (-80)/60*(1 + 15/(-6)). What is the common denominator of -37/27 and (-168)/(-45) - b - (-1 - -4)?
135
Let v(b) = 14*b - 78. Let r be (-171)/(-6)*2 - 4. Let t = 65 - r. Calculate the lowest common multiple of v(6) and t.
12
Let q = 176648 + -2827473/16. Let p = q - -539/8. Find the common denominator of -75/38 and p.
304
Suppose -19 = -5*t + 2*n, 3*t + 2*n - 24 = -n. Suppose 3*q - t*q = 4*y - 24, 2*q + 11 = 3*y. What is the smallest common multiple of 42 and y?
210
Calculate the common denominator of -2 - ((-3468)/315)/(-11 + 16) and 49/25.
525
Let j = -2883313609/1824 + 1580764. Calculate the common denominator of j and -11/240.
9120
Suppose -4*l + 6851 = -3001. What is the common denominator of l/126 - (-4)/14 and (-75)/(-24) + -2*((-2205)/18)/35?
24
Suppose -5*c = 2*s - 462 + 198, c + s - 48 = 0. Let k(x) = -7*x. Calculate the smallest common multiple of c and k(-5).
280
Let a = 532302757/1080 + -492873. Find the common denominator of a and 143/270.
1080
Let w = -98 - -120. Suppose b - w = 32. What is the smallest common multiple of b and 66?
594
Suppose -82 - 52 = -5*r + 2*v, -4*r + 115 = v. Calculate the lowest common multiple of 129 and (9 + (0 - -1))/(r/168).
2580
Let h = -83431/10 + 8354. Let d(o) = -o**2 + 15*o - 30. Let u be d(12). Find the common denominator of (u/((-72)/(-498)))/(10/(-2)) and h.
10
Let w(t) = -t**3 - 17*t**2 - 8*t - 4. Let y be w(-17). Let l be -9*6/36*(-104)/(-6). Find the common denominator of 38/21 and ((-2 - -4)/y)/((-13)/l).
231
Suppose 0 = l + 4*u - 19, 4*l + 11*u - 115 = 8*u. Suppose -691 = -9*f - 25. Let z = f + -72. What is the least common multiple of l and z?
62
Let j(f) = f**3 + 3*f**2 + 14*f + 6. Let v be j(-4). Calculate the common denominator of v*4/(-40)*(-2)/8 and -97/32.
160
Let r be 3 + (-3 - 3/(-3)). Suppose 4*u - 2*w + 4*w = 16, r = -3*u + 5*w. Calculate the least common multiple of u and -3 + 1 - ((-2 - 4) + 3).
3
What is the common denominator of (-1456)/104 + 3336/225 and 59/51?
1275
Let a = 4513 - 3508. Calculate the least common multiple of 27 and a.
9045
Suppose -265*s + 212151 = -94471 + 37117. Calculate the lowest common multiple of 54 and s.
6102
Let n = -16 - -31. Let w = 24 - n. Suppose -44*y + 32*y + 108 = 0. What is the lowest common multiple of y and w?
9
Let t = 380580 + -605122277/1590. What is the common denominator of t and -65/36?
9540
What is the common denominator of (-24)/324*(-5)/(120/2178) and -61/273?
1638
What is the lowest common multiple of 3042 and 1*(245/(-210) + (-38)/(-12))?
3042
Let s = 1/322 + -5394/161. Let p(u) = -u**3 + 9*u**2 - 10*u + 22. Let r be p(8). What is the common denominator of s and 4/(-6)*r - (-99)/16?
16
Let c be ((-121)/34)/(((-48)/13)/8). Let l = -2/51 - c. Calculate the common denominator of -145/24 and l.
24
Let p = 83603/20230 - 670/289. Find the common denominator of 71/390 and p.
2730
Let b be 0 + 1 - 88054/(-12). Let v = b - 7321. Let u = -12994873/40 + 324871. Calculate the common denominator of v and u.
120
Let w = 42 - 24. Suppose 2*k + 2*q = 120, -264 = -5*k - 7*q + 8*q. What is the smallest common multiple of w and k?
54
Let s(q) = 15*q**2 - 6*q + 5. Let k be s(1). Suppose -k*r = -0*r - 700. Calculate the smallest common multiple of r and 20.
100
Let v(w) = 32*w - 4*w - 8 - 8 + 5*w - 2*w**2. Calculate the smallest common multiple of v(14) and 66.
594
Suppose 4*s + 2*z - 844 = 0, 0 = s + 3*z - 211 - 10. What is the least common multiple of 88 and s?
1672
Let l = -3507 + 3510. Calculate the smallest common multiple of 31 and l.
93
Suppose 2*p + 1 - 11 = 0. Let s be (-1*3 + (12 - p))*11. Suppose -s = z - 3*z. Calculate the least common multiple of 58 and z.
638
Calculate the smallest common multiple of ((-20)/35 - 7/((-343)/(-10752)))*-6 and 165.
1320
Suppose 4*b - 4*g - 312 = 0, 941*b - 944*b + g + 226 = 0. Calculate the least common multiple of b and 26.
962
Let h(c) = -8*c - 15. Let s be h(7). Let u = s - -73. What is the smallest common multiple of u and 8?
8
Let a = 264445842548125197/313432316463112 - -8095/12846990783. Let n = a - 45/36596. Let u = n - 845. Calculate the common denominator of u and 91/8.
24
Let s = -11434 - -205709/18. What is the common denominator of -121/192 and s?
576
Suppose -3 - 17 = 2*z - 4*y, 0 = 5*y. Let x(c) = c**2 + 8*c + 1. Let q be x(z). Let i = 61 - q. What is the lowest common multiple of i and 32?
160
Let q = 1553 - 837. Suppose -12*u + 14*u + 188 = p, 4*p + u = q. What is the smallest common multiple of 14 and p?
1260
Let f = 13850 + -276931/20. Find the common denominator of 6/16*156/5 and f.
20
What is the lowest common multiple of 8 + ((-2)/2)/1 and 56/2*-7*(-2)/28?
14
Suppose -912 = 3*x - 157*x + 10330. Calculate the lowest common multiple of x and 5.
365
Let j be (-16)/((6/9)/2). Calculate the lowest common multiple of 54/(-2)*(-8)/6 and ((j/(-28))/6)/(6/84).
36
Let m(i) = -5*i - 9. Let b be m(0). Let d(u) = -5*u - 47. Let t be d(b). Find the common denominator of -52/3 and (t/16)/(3/121).
24
Let u = 280 + -280. Suppose 0 = -f - u*f - 5, -3*p + 5*f + 55 = 0. What is the smallest common multiple of (1 + 18/4)*2 and p?
110
Let f(d) = -13*d**2 - 2*d - 9. Let o be f(4). What is the common denominator of ((-411)/90)/(8/(-10)) and ((30/32)/5)/(o/(-6700))?
24
Calculate the common denominator of -83/120 and (-15)/(-10)*-4 + (-2 - 710/(-40)).
120
Let w(d) = -d**3 - d**2 + 2*d - 2. Let m be w(2). Calculate the common denominator of -73/28 and (12 + -5)/(-35) 