ppose 38 = -4*u - 2. Calculate the least common multiple of 48 and (22/u)/(5/(-25)) - -1.
48
Let f be 2*(238/(-120))/(-7). Let l = f + -4/15. Calculate the common denominator of l and ((-874)/(-920) - 3/6)*(-155)/(-6).
40
Let a(k) = k**3 + 23*k**2 - 53*k - 695. What is the lowest common multiple of 3160 and a(-24)?
3160
Find the common denominator of ((-4)/128)/(46/(-276) - 214/(-564)) and -101/400.
1600
Let n = -216 - -219. Suppose 0 = -2*f - n*z - z + 68, -3*f + 96 = 3*z. Calculate the smallest common multiple of 78 and f.
390
Let n(v) = 2*v + 906. Calculate the lowest common multiple of n(48) and 1336.
4008
Suppose -3*h = -7*h - 48. Let y be (24/324 - (-32)/54)*-147. What is the common denominator of 10 + h - y/(-18) and -26/25?
225
Suppose -2*r + d - 5 = 0, 2*r - 3*d = -5 + 6. Let a be ((-1)/(-2))/(-1 + 6/8). What is the smallest common multiple of 12 and (((-18)/r)/9)/(a/(-32))?
24
Let g(l) = l + 1. Let q(u) = -u**2 - 6*u + 14. Let x(t) = 2*g(t) + q(t). Let s be x(-10). Let d = s + 118. What is the least common multiple of d and 8?
296
Let v be (1213025/198)/(2081 - 0). Let r = v + 1/2081. Let u = 493/10 + -236/5. Find the common denominator of u and r.
90
Suppose 0 = -565*o + 567*o + 4*i - 142, -4*o + 2*i = -224. What is the lowest common multiple of o and 413?
413
Let r = -6555 + 6559. What is the lowest common multiple of r and 257?
1028
What is the least common multiple of 4 + 385/5 + -1 + 5 + -5 and 380?
1520
Let z = -581174/259475 - 2/10379. Let k = -116449241/40 - -2911611. Let o = -380 + k. Find the common denominator of z and o.
200
Let h be (-1)/4 - (-3)/72*59698. Let t = h + -2497. Calculate the common denominator of -61/16 and t.
48
Let i(d) = d**2 + 11*d - 148. Let r be i(-19). Let h be 2/8 - (-286)/8. Find the common denominator of (-1)/r + 293/h and 79/28.
252
Suppose -9*d + 116 = -64. What is the lowest common multiple of 340 and d?
340
Let z = 6074 - 989. Calculate the common denominator of 13/35 and 6 + z/(-350) + 8.
70
Find the common denominator of -13/27 and (4 - (-42266)/(-10710)) + (-4)/10.
459
Let d be (-46)/391 + (-412)/(-34). What is the lowest common multiple of (-30)/(-4)*(448/d)/8 and 7?
35
Let m be ((-8)/14)/(5/(-35)). What is the lowest common multiple of 5 and 26/m - (0 - 9/6)?
40
Suppose 11*m - 19*m - 1408 = 0. Let j = m + 238. What is the lowest common multiple of j and 11?
682
Suppose 561 = 3*t + 5*z, -t = 3*z + 243 - 430. What is the smallest common multiple of t and 110?
1870
Let m = 8039/1804 + -3/1804. Let a = -66594 + 1531941/23. Let q = 5195/506 - a. What is the common denominator of q and m?
22
Let j(v) = -17*v - 35. Let u be j(-18). Suppose -u - 121 = -7*s. Calculate the least common multiple of 16 and s.
112
Let b(x) = x**2 + 17 - 1 - 6*x**2 + 6*x**2 + 11*x. Let m(g) = -3*g - 46. Let t be m(-12). What is the smallest common multiple of 2 and b(t)?
6
Let n be (-35374)/(-5 - -1 - -2). Let a be 3/((-264)/1557092) + 3. Let s = n + a. Calculate the common denominator of s and -69/2.
22
What is the common denominator of -57/140 and ((-16)/72 + (-6808)/1440)*(-1 + -1)?
140
Let f(r) = -r**2 - 2*r - 3. Let u be f(-2). Find the common denominator of 5/36 and (-1)/(u - 621/(-267)).
180
Let b(z) = 3*z - 2. Let h be b(2). Suppose 0*r - 12 = 4*g + h*r, -g = -3*r + 3. Let y(p) = p**2 + 4*p + 5. Calculate the least common multiple of 3 and y(g).
6
Let u = -94/187 + 10873/10098. Find the common denominator of u and -101/558.
1674
Let j(n) = n + 4. Let a be j(-7). What is the common denominator of 1 + 113*a/66 and 10/15 + 1450/480?
176
Let m(k) = 2*k**2 - 3*k + 1. Calculate the least common multiple of 399/21*(3 + -2) and m(2).
57
Let w(v) = -v**2 + 166*v - 1365. Calculate the lowest common multiple of 99 and w(19).
47124
Suppose 2*b = 3*b - 40. Suppose -1 = 13*f - b. Suppose 0 = -4*j + 4*n + 12, -3*n + 23 = f*j - 4. Calculate the lowest common multiple of 13 and j.
78
Suppose 7*g - 120 = -37 + 29. Let y(l) = 5*l**3 - 2*l**2 + 1. Let o be y(1). Let w = o - 2. Calculate the lowest common multiple of g and w.
16
Calculate the common denominator of (84/15 + -6)*(-6970)/816 and 27/272.
816
What is the lowest common multiple of ((88/(-10))/((-106)/(-265)))/3*-120 and 176?
880
Let c = 1434 - 1432. Suppose -z - c*i + 6 = 0, -10*z - i = -6*z - 59. Suppose -a = -n + 5*n - 8, 16 = 2*a + 4*n. What is the lowest common multiple of z and a?
16
Let c = 61809 - 43513579/704. What is the common denominator of 7/528 and c?
2112
Let f be (-1464)/(-14) + 1032/(-1806). Suppose -2*m + 3*v + 3 = -13, 2*v = 3*m - 34. Calculate the smallest common multiple of 14 and f/14 - (-8)/m.
56
Let i = 514321/33 - 15584. Suppose -1227 = -8*f + 5685. Find the common denominator of (-1928)/f + 3/4 and i.
297
Let r = -828889 + 808166872/975. What is the common denominator of r and 47/50?
1950
Let i(s) = 431*s - 4. Let t be i(-8). Calculate the common denominator of 89/10 and t/1064 - 12/(-28).
190
Let r(q) = 30*q - 7 + 11*q**2 - 23*q - 16*q - q**3. Calculate the lowest common multiple of r(10) and 13.
39
Let h = 273 + -273. Suppose h = a - 11*g + 13*g - 222, 2*a = 4*g + 420. What is the lowest common multiple of 33 and a?
2376
Let j be -17*(-92)/(-9) + 48/(-216). Let f = 222 + j. Calculate the least common multiple of 10 and f.
240
Let z = -289031/60 + 4817. Calculate the common denominator of z and -73/1830.
3660
Let u = 2553 + -2537. Let w(f) = 6*f**2 - 2*f + 12. Calculate the lowest common multiple of w(7) and u.
1168
Let j(b) = 6*b**2 + 23*b - 574. What is the smallest common multiple of j(-27) and 578?
6358
Let q(h) = -h**3 + 20*h**2 + 17*h + 81. Let c be q(21). Calculate the common denominator of (1 + 3 + (-8)/6)/c and 107/26.
234
Let s = 674386/73 - 9238. Let f = s + 1923/292. Let p = -29057/16 - -1817. Calculate the common denominator of p and f.
16
Let k(u) = -u**3 - 43*u**2 - 46*u - 150. What is the smallest common multiple of k(-42) and 3510?
3510
Suppose -p = w - 10, 4*p - 2*w = -p + 22. Let c be (-8)/p - (-2061)/27. Suppose -5*y + c - 30 = 0. What is the smallest common multiple of 1 and y?
9
Let b(g) = -45*g. Let o be b(2). Calculate the common denominator of (17/(-3) + 0)/(o/(-9)) and -27/5.
30
Let i(f) = 97*f - 38. Let h be i(8). Let g = -6265/18 - -3314/9. What is the common denominator of g and h/360 - (0 - -3)?
60
Let b(x) = 9*x**2 - 51*x - 4. Let u(t) = t**3 - 3*t**2 + 2*t - 18. Let a be u(4). What is the lowest common multiple of 8 and b(a)?
56
Calculate the smallest common multiple of 195 and 7/3 - ((-11)/3 + -9).
195
Let o(f) = f - 22. Let r be o(-8). Calculate the common denominator of 441/r - (-30)/25 and 137/18.
18
Suppose h = 0, 2*h = 5*c + h - 10. Find the common denominator of c/(-3) - (-2358)/108 and -65/34.
102
Let g(y) = 3*y - 7. Let j be g(5). Suppose 170*o - 165*o + 20 = 0. Let t = o + j. Calculate the least common multiple of 2 and t.
4
Let w = -90 - -93. Suppose -u - 337 = -w*i - i, -i + 1628 = -5*u. Calculate the common denominator of 99/8 and u/240 - ((-20)/(-8))/(-5).
48
Let l = -1416833176211/300 + 4722797226. Let a = l + -19972. Let n = -1713/100 + a. What is the common denominator of n and 25/3?
6
Let z be 3*(-6)/99 - 994/(-22). Suppose -z*u + 232 = -41*u. Suppose 0 = -4*t - 8, -2*j + u = j - 2*t. Calculate the least common multiple of 14 and j.
126
Let i = 79/10 - 282/5. Let d be (1 + -40)*(5 + -1 + 2). Calculate the common denominator of i and 24/8 + 1 + d/44.
22
Let p(g) = 7*g + 24. Let b be p(-2). Suppose -4*h - 5*r + b*r + 95 = 0, 0 = -5*h - 5*r + 175. What is the least common multiple of h and 45?
90
Suppose -5 = 4*s - 133. Suppose 0*l - 2*l + 116 = -2*c, 5*c + 70 = l. Let b = 75 - l. Calculate the lowest common multiple of b and s.
160
Let x(s) = -14*s. Let b be x(0). What is the smallest common multiple of (b + 0 + 8)*50/20 and 160?
160
Let h = 21/1079 + -23351/479076. What is the common denominator of 12/54 + (12124/72)/(-7) and h?
444
What is the common denominator of -7 - (-16)/(229600/100785) and 65/2296?
11480
Let u(f) = f**3 - 9*f**2 - 6*f + 62. Suppose 18*r = 15*r + 27. Calculate the lowest common multiple of 94 and u(r).
376
Let u(r) = -253*r**3 - 11*r**2 + 82*r**3 + 86*r**3 + 26 + 86*r**3 - 8*r. What is the least common multiple of u(12) and 2?
74
Let a(v) = v**3 - 5*v**2 + 2*v + 3. Let 