Let m(a) = 8*a**2 - 143*a - 859. What is the least common multiple of 205 and m(-6)?
1435
Let k = -1/216 + -175/108. Calculate the common denominator of 31/73 and k.
584
Let g = -14 + -71. Let x = 87 + g. What is the least common multiple of 67 and x?
134
Suppose 3*s - 30 = 3*t, 4*s + s - 48 = 4*t. Suppose -7*w + 2*w + 260 = 0. Calculate the least common multiple of s and w.
104
Suppose 4*c + 16 = 6*c. Suppose 3*d - 34 = -2*p, -3*d - 12 = -p - 31. What is the lowest common multiple of c and d?
8
Let g be 20/(-70) - (-1444)/7. Suppose 0 = 3*i - 70 - g. Suppose 0*q - i = -5*x + 2*q, 0 = 5*x + 4*q - 116. Calculate the least common multiple of 8 and x.
40
Let h = -58 + 130. Calculate the common denominator of -37/18 and ((-26)/(-5))/(h/210).
18
Suppose -2*w = 5*s - 5, w + 31 = 2*s - 4*w. Suppose s = 5*p - 6*p. What is the common denominator of 103/6 and 3132/(-192)*2/p?
24
Let v = 17409295/126 + -138170. Find the common denominator of -39/14 and v.
126
Let o = 6367 + -4067. Suppose -11*r = -6*r + o. Calculate the common denominator of 1/5 and r/(-90) - 2*-1.
45
What is the common denominator of -22/25 and (52/(-7))/(70/98)?
25
Let l(k) = 34*k - 144. Calculate the least common multiple of l(6) and 105.
420
Calculate the common denominator of -83/32 and -3 - (350/(-144) + (-12)/(-48)).
288
Let m be 18954468/19264817 - 1/1. Let a = m - 3/6149. Let k = a - -6053/1687. What is the common denominator of k and -28?
7
Let f = -876827/30 - -29231. What is the common denominator of -13/120 and f?
120
Suppose 0 = 4*x + 4, 0 = 4*r - 8*r + 2*x + 66. Calculate the least common multiple of 12 and r.
48
Let x = -781/64 - -42745/1856. Let a = 359/232 + x. Let s = -957967/51092 - 2/12773. Find the common denominator of a and s.
8
Suppose -162 = -17*s + 42. Calculate the least common multiple of 656 and s.
1968
Suppose 4*t = -4*q, 0 = t - 6*q + 3*q. Suppose t = -4*h + 3*h - 6. Calculate the least common multiple of 6 and 1/(-3) - 20/h.
6
Suppose -1734 = -4243*b + 4209*b. Calculate the lowest common multiple of b and (-1)/(0 - -1) - -22.
357
Let n = 28219/2720 - -1/2720. Let k = 2657 - 53043/20. Find the common denominator of n and k.
40
Let u = -2125 - -42541/20. Calculate the common denominator of (-351)/(-147)*(-35)/10 and u.
140
Let i = 3441/10 + -348. Let t = -646 + -1385. Let h = t + 16209/8. Find the common denominator of i and h.
40
Let a = 46879/22780 + -9/1139. Calculate the common denominator of a and 57/1310.
2620
Let v = -194 + 196. Calculate the lowest common multiple of v and 2.
2
Let f = 225713/392 - 4605/8. Find the common denominator of f and -11/8.
392
Suppose -4*v + 207 - 87 = 0. What is the least common multiple of v and 15?
30
Let a(o) = 3*o - 45. Calculate the lowest common multiple of 2 and a(19).
12
Suppose 3*k + h = 102, 75 = 5*k + 2*h - 94. What is the smallest common multiple of 40 and k?
280
Let u(s) = s**3 - 6*s**2 + s - 4. Let m be u(6). Let a be m + -4*(-4)/8. Calculate the common denominator of -14/11 and (-300)/(-6)*a/(-55).
11
Suppose 4*f = 49 + 31. Let o = 30 - f. Find the common denominator of 6/28*63/o and -85/16.
80
Let h(z) = 3*z + 42. Let p be h(-5). Let s = 39 - p. Calculate the smallest common multiple of s and 9.
36
Suppose 0 = -6*m - 28 - 14. Let z = m - -23. Suppose 13*c + z = 15*c. Calculate the lowest common multiple of c and 5.
40
Calculate the common denominator of -1 + 479/684 + 6/57 and 97/120.
360
Let o be -30*((-2)/2)/3. Let j(x) = -x**3 + 10*x**2 + 3*x - 14. Let b be j(o). Let m = b - 15. What is the smallest common multiple of m and 1?
1
Let w(o) = o + 2. Calculate the least common multiple of w(8) and 116.
580
Let w = 22 - 6. Let b(d) = d**2 + 9*d + 10. Calculate the least common multiple of w and b(-8).
16
Let a(w) = -w**3 - 9*w**2 + w + 4. Let z be a(-9). Let i(s) = -s**3 - 6*s**2 - 10*s - 9. What is the least common multiple of 2 - 0/(1/1) and i(z)?
16
Let s(p) = -p - 13. Let y be s(-13). Let x(m) = m + 12. Let w be x(y). Let u = 20 - w. What is the least common multiple of 8 and u?
8
What is the lowest common multiple of ((-4)/((-24)/(-651)))/(6/(-36)) and 4?
2604
What is the common denominator of 63/24*(-70)/45 and 13/124?
372
Let m be ((-6)/15)/((-4)/(-5))*-4. Suppose 5*s + 5*o = 50, m*s - 4*o = -3 - 7. What is the lowest common multiple of s and 25?
25
Let y(l) = -13*l - 15. Let f be y(-6). Let k = -1 - -11. What is the smallest common multiple of 40/18*f/14 and k?
10
Let m = -384274/9 + 42626. Let v = m + 2155/36. What is the common denominator of v and 4/11?
44
Suppose -6*t - 72 = -10*t. What is the common denominator of -23/30 and (0 + -67)*-1*2/t?
90
Let j = 3754/13 - 555293/1924. Find the common denominator of j and -61/20.
740
Suppose -2*b = -3*t - 8, -41*t + 45*t = 2*b - 6. What is the lowest common multiple of t and (44/6 + 0)*3?
22
Suppose -4*d = 4*n + 940, -2*n = -0*n - 2*d + 478. Find the common denominator of (26/39)/(44/n) and -31/16.
176
Let i = 5309/3315 - 1/663. What is the common denominator of i and -67/40?
40
Let h = -4/14520905 - -149478197474/5096837655. Let j = 388/13 - h. Find the common denominator of j and 19/27.
27
Suppose -3*v - 5044 = -v. Let s = v + 15097/6. What is the common denominator of 83/6 and s?
6
Let m(t) = -t**2 - t + 6. Suppose -14 = -7*l + 21. What is the least common multiple of l and m(0)?
30
What is the common denominator of ((-3)/(-15))/(4/(-630)) and 164/21 - (-39)/117?
14
Let g = -7/2 + 33/10. What is the common denominator of g and ((-4)/11)/4*(-2765)/(-70)?
110
Let b = -552 - -1613/3. Calculate the common denominator of -68/57 and b.
57
What is the common denominator of -127/6 and 10/(-6) - (-4090)/1680?
168
Suppose -3*f + 3*d = -24, -f + 10 = 36*d - 39*d. Calculate the least common multiple of 66 and f.
462
Suppose -5*v + 0*v + 214 = -3*z, 216 = 5*v - 2*z. What is the lowest common multiple of 22 and v?
44
Suppose -13 = 2*a - 45. Suppose 2*r = 4*r - a. What is the least common multiple of r and 10?
40
Let t(o) = -412*o - o**2 + 2*o**2 + 386*o + 36. What is the smallest common multiple of t(26) and 8?
72
Let k = -5197/3010 + -5/43. What is the common denominator of k and 87/14?
70
Let o = 6385326 + -89459539/14. Let f = o + 4644. What is the common denominator of -101/2 and f?
14
Let x = -1346 - -1646. What is the lowest common multiple of x and 30?
300
Let z = 3207/341 + -143008/23529. Let y = 10/69 - z. Let w = -29 - -149/3. Find the common denominator of y and w.
33
Let v = 14575/23 - -502799/138. Let w = v + -4287. Find the common denominator of w and 85/16.
48
Suppose -7*x - 191 = 145. Find the common denominator of (-2)/(-5)*30/x and 89/16.
16
Let u = 309 + -237. Calculate the smallest common multiple of u and 96.
288
Let r = 186 + -105. Calculate the least common multiple of r and 117.
1053
Suppose -4*b = -30*b + 1638. Calculate the smallest common multiple of b and 21.
63
Let p = 20 + -28. Let o be (-154)/121*(-76598)/p. Let z = o + 12189. What is the common denominator of z and -133/6?
66
Let x(d) = -2 - 15 + 0 + d**2 - 14*d - 14. Calculate the smallest common multiple of x(17) and 6.
60
Suppose -2987 = 4*u - 8959. Let f = u + -14871/10. What is the common denominator of f and 27/10?
10
Let x be (-2)/(-8)*(1497534/(-27))/(-1). Let o = 13871 - x. Calculate the common denominator of 56/9 and o.
18
Suppose 5*i + 4*j = -1636, 2*i + 2*i - 3*j + 1284 = 0. Let y = 6483/20 + i. Find the common denominator of -115/6 and y.
60
Let w(f) = -f**2 - 2*f + 4. Let h be w(-4). Calculate the common denominator of (22/55)/((-2)/h) and ((-12)/27)/((-2)/84).
15
Let r be 152*(-27)/(-6)*5. Let v = r - 34109/10. What is the common denominator of v and 55/3?
30
Let f(d) = -d**2 + 1. Let a be f(0). Let h = 26 - 23. Let g = a + h. Calculate the lowest common multiple of g and 4.
4
Suppose -7*b - 5 = -2*b. Let h(s) = 6*s + 3. Let t be h(b). What is the common denominator of -67/64 and (5/(-36))/(t/(-114))?
576
Let v = 3345/7 + -475. Let t = 31/11 - -283/44. Calculate the common denominator of v and t.
28
Let f = -371028 + 152863445/412. What is the common denominator of f and -131/18?
3708
Let z(i) = -i**2 - 13*i + 6. Let y be z(-6). Find the common denominator of (-4)/(y/(-285)) - (-3)/(-2) and 87/(-2) - 2 - -2.
4
Let k = -5630 - -8596. Calculate the least common multi