
Let m = -1108/63 - -76889/4662. Calculate the common denominator of m and ((-356)/(-72))/(0 + -1).
666
Let q = 90/239 - -10381/86040. What is the common denominator of q and 127/30?
360
Suppose 2*m - 23276 = -12*m + 3*m. What is the smallest common multiple of 2 and m?
2116
Suppose 3*h = 24 + 6. Let n(o) = -41118*o - 65 - 148 + 41081*o. What is the smallest common multiple of n(-6) and h?
90
Suppose 41282*s - 18900 = 41252*s. Calculate the least common multiple of s and 810.
5670
Let z be ((-19)/133)/((-2)/(-8210)). Let u = z + 361359/616. What is the common denominator of u and -95/8?
88
Let d(n) be the second derivative of -n**4/12 - n**3/2 + n**2 - 18*n. Let c be d(-4). What is the least common multiple of c*(-3 + (-27)/(-6)) - -7 and 24?
24
Let b be 41/(-36) + ((-54)/(-24) - 2). Let j = b + -355/36. What is the common denominator of j and 3/430?
860
Let w(h) = -2*h**3 + 20*h**2 + 12*h - 36. Let t be w(16). What is the least common multiple of 17/((-714)/t) - (-8)/14 and 49?
490
Suppose -3*x - 2*a + 38 = -2*x, -2*x - 3*a + 81 = 0. Suppose 3*b - 3*l = x, 0 = -2*b + 4*l - 93 + 115. What is the least common multiple of b and 1/(-2)*6/(-1)?
21
Let v(n) = -2*n - 7. Suppose 458*g - 2*q = 456*g + 20, -2*q + 71 = 5*g. Calculate the lowest common multiple of g and v(-6).
65
Let l = 4931413/144 - 34245. What is the common denominator of l and 1/612?
2448
Let n be ((-108)/55)/((-31)/3720). Let r = -238 + n. What is the common denominator of r and 4/14*(-118)/(-4)?
77
Suppose 18*u + 2*k = 22*u + 40, 5*k = -4*u - 54. What is the common denominator of u + 468/(-45) - -9 and ((-15)/(-46))/(-5 - 1)?
460
Suppose -75*a + 754 = -146. Calculate the least common multiple of a and 7467.
29868
Let g = -132/101 + 10319/8282. Let f = g - 1897/492. Calculate the common denominator of f and 151/72.
72
Let k(n) = 189*n - 48. Let i be k(-4). Let m = i + 38591/48. Calculate the common denominator of m and 71/128.
384
Let q be -4*((-9)/2 + 3). What is the common denominator of -11/7 and 309/(-57) - (0 + (2 - q))?
133
Let t = -9020/153 + 3110659/52785. What is the common denominator of 8/315 and t?
21735
Let c be (-512660)/320496 - 18/(-99). Let i = 2/1821 + c. Calculate the common denominator of i and -91/4.
12
What is the common denominator of 139/648 and ((-1711)/4640)/(15/25)?
2592
Suppose 18*l - 34360 = 166988. Let i = l - 134081/12. Let m = -442319/40 - -11057. What is the common denominator of m and i?
120
Suppose 6*v = 34*v - 196. What is the lowest common multiple of 36 and (13 - v - -75)*1?
324
Suppose z - 5*b = 120, -2*z - 5*b + 67 = -113. Let m = z - -253. Calculate the least common multiple of 4 and m.
1412
Let v(s) = s**3 - 3*s**2 - 3*s - 8. Let i be v(4). What is the least common multiple of (6 + -50)/(1/i) and 14?
1232
Let n be 4/(-8) - (405/51)/(-5). Let p = 443/85 + n. What is the common denominator of p and -54/5?
10
Let r(k) = -k**3 + 6*k**2 + k - 12. Let h(n) = -n**3 + 2*n**2 + 11*n - 9. Let x be h(4). Calculate the smallest common multiple of 10 and r(x).
90
Let d = 1607651/120 - 13397. Calculate the common denominator of d and 121/360.
360
Let j = -16043 - -18647. Calculate the lowest common multiple of j and 558.
7812
Calculate the common denominator of ((-201)/4)/((-183)/(-2)) and 4/(-3) - (-7383)/(-4554).
1342
Find the common denominator of (378/(-81))/((-5)/(-105)*2750) and -119/1250.
13750
Suppose 9*m = 27 + 135. Calculate the common denominator of -2 - -1*1/m*4 and -19/12.
36
Let m = 16900 + -676071/40. What is the common denominator of m and (-403)/(-576) + (-4)/(-18)?
320
Suppose 86*v - 92*v = 48. Calculate the common denominator of 61*(-8)/18*v/64 and -53/39.
234
Suppose 0 = -o - 5*i - 3, -2*o + i - 17 = -33. What is the least common multiple of 2018 and o?
14126
Let m = -23225 - -27220. What is the smallest common multiple of m and 17?
3995
Let h = 11997 + -11677. Calculate the lowest common multiple of 252 and h.
20160
Let m = 17881159/1122 - 47810/3. Calculate the common denominator of 11/714 and m.
7854
Let i be 1*4 - (-42)/(-6). Calculate the common denominator of 2/(-28)*1*108 and (-2)/i*(-477)/(-24).
28
Let s be ((-1)/6*-2)/((-3)/27). Let g be (s + (-3826)/8)*2. Let d = -1006 - g. What is the common denominator of d and 37/11?
22
Let a = -2/155 + 529/155. Let b be (24/(5 - 7))/1. What is the common denominator of (-519)/20 - -4 - b/(-15) and a?
20
Suppose -14 = -3*u - 4*j - 3, 0 = -4*u + j + 40. Suppose 42 = u*z - 8*z. What is the smallest common multiple of 9 and 138/z - 2/(-21)*-3?
9
Let p be (-12)/93*((-34)/1516)/17. Let h = p - -834167/70494. Find the common denominator of 47/96 and h.
96
Let q = 221 - 231. Calculate the common denominator of ((-819)/28)/(75/q) and 103/290.
290
Let y = 2 - 4. Let s = y + 13. Let c = -2794 - -2801. Calculate the lowest common multiple of c and s.
77
What is the smallest common multiple of ((-352)/110)/(4/(-100)) and 1960?
3920
Suppose -k - 4*k + 25 = 0. Let s(w) = -3*w**2 - 295*w - 666. Calculate the smallest common multiple of s(-96) and k.
30
Let d = 12461 - 224171/18. Find the common denominator of 113/1014 and d.
3042
Let n = 1009653/674177 - 384/259. What is the common denominator of n and -27/10?
26030
Let y be (8/(-60))/(795/45). Let f = y - 3971/530. Calculate the common denominator of -63/136 and f.
136
Let i = -7641 + 8401. Calculate the lowest common multiple of 20 and i.
760
Let g(w) = -14*w - 28. Let p = 1 - -19. Suppose 19*l - 17*l - p = 0. Calculate the lowest common multiple of g(-3) and l.
70
Let s = 9 + -1. Let h be -212*-4*1/8. Suppose g - 1 - 97 = -2*b, 2*b = 3*g + h. Calculate the least common multiple of s and b.
200
Let h = -11205 + 11331. Calculate the least common multiple of h and 72.
504
Let h = -3050/3 - -9196/9. Let v = -2 - -2. What is the common denominator of (-10)/3 + v + 2 and h?
9
Let o(a) = 94*a**2 + 8*a + 6. Let v be o(3). Find the common denominator of -32/49 and (9/168)/(4362/v + -5).
196
Let l(s) = 125*s**2 + 24*s - 44. Let h be l(5). Let m = -70395/22 + h. Calculate the common denominator of 1 - 0 - 103/10 and m.
110
Suppose 7 + 1 = -4*q. Let h = 388 + -378. Calculate the lowest common multiple of h and (-5 - q) + (23 - 2).
90
Let k = 3/96445 + 320138/1909611. Find the common denominator of -67/165 and k.
495
Suppose 3*a = 4*k + 47 - 10, 31 = 5*a + k. What is the least common multiple of 326 and a?
2282
Let u = 92 - 43. Let h be (-14)/u - ((-19)/(-7) - -2). Calculate the common denominator of 97/10 and 3 - (-50)/(-4)*h/105.
210
Let a = -2347565 - -6338425427/2700. Let z = a + -1/100. What is the common denominator of 80/117 and z?
351
Let c(t) = t**2 + 4*t + 4. Let d be c(-4). Suppose -2*r = -2*i + 20, -2*r - 32 = -d*i + 8. What is the lowest common multiple of -2 - (-5 + 1 + 3)*16 and i?
70
What is the common denominator of -95/6548 and 84/1008*12/9 - (-338)/36?
6548
Let d = 61 - 40. What is the smallest common multiple of d and (-567)/2835 + 76/5?
105
Suppose -r = -2*g - 314, 2*g - 399 = -3*r + 567. What is the lowest common multiple of r and 320?
320
Let h be (22/(-6))/((-6)/(-126)). Let v = -93 - h. Find the common denominator of (-23)/v - 3*(5 + -6) and 67/34.
272
Suppose 6*y - 6895 = 6713. Let q = y + -126981/56. Calculate the common denominator of -59/14 and q.
56
Let c be (-2)/7 + (-11)/((-23577708)/5017943577800). Let j = 39798444/17 - c. Let q = j + -11/237. What is the common denominator of q and -9/4?
76
Let k = 21299/4 - 47960/9. What is the common denominator of k and 1257/(-756) + 10/(-70) + -1?
36
Suppose -2*o + 3*r = 155, -6*o - 305 = -2*o - r. Let s = 116 + o. What is the common denominator of 10/(-6) + 430/s and 53/27?
108
Suppose -3*r = -96 - 6. Let w be (-11)/(-660)*28554/r. Let y = w - 21/85. Calculate the common denominator of 23/8 and y.
8
Suppose -5*q = 5*w + 105, 4*w - 13*q = -14*q - 87. Let j = w - -118. What is the least common multiple of j and 4?
96
Suppose 12*a + 210 = 7*a + 11*a. What is the smallest common multiple of 55 and a?
385
Let n be ((-312)/(-36) - 8)/(4/42). Suppose -19*c + n*c = -36. Calculate the lowest common multiple of 33 and c.
33
Let l = 14555/2142 + -10/1071. Find the common denominator of l and ((-6)/(-4))/((-12)/(-55)).
56
Let b be 27*(22/24 - (-38)/(-152)). Find the common denominator of 33/72 + 17/