 -3*x = -m + 1466. Let t = 556821/1456 + 9237/91. Let r = x + t. What is the common denominator of -113/20 and r?
80
Let t = -36410 + 1893413/52. What is the common denominator of t and 48/1079?
4316
Let g(m) = -52*m - 34. Let s(f) = -5*f - 117. Let a be s(-23). Calculate the lowest common multiple of g(a) and 21.
210
Let y = -9327061/4890 + 9537/5. Calculate the common denominator of y and -55/28.
13692
Suppose 38 = 29*x - 28*x + 6*t, 0 = x - 2*t + 2. Calculate the smallest common multiple of 1423 and x.
11384
Let j = 25 + -23. Let h(q) = 3 + q**2 + 2*q + 0*q**j + 4. Calculate the lowest common multiple of h(3) and 12.
132
Let h(k) = -k**2 + 7*k + 7. Suppose -18*n + 75 + 15 = 0. Let y be h(n). Calculate the common denominator of -63/2 and y/15*(-42)/(-4).
10
Let p = 9929/1870 + -466/85. What is the common denominator of 21/30 + 2/6 and p?
330
Find the common denominator of 52/135 and ((-52)/4374*-3)/((-64)/(-264)).
4860
Let r = 2/726371 + -34141185/634848254. What is the common denominator of r and -39/190?
4370
Let x = 20 - 18. Let r = 18 + -20. Find the common denominator of -26/11 and (174/28 - x)*r.
77
Let m(t) = 3 - 18*t - 15 + 14*t. Let a be m(-4). Suppose 4*g + 10 = y, a*y + 3*g - 57 = 2*g. What is the smallest common multiple of 2 and y?
14
Let w(y) = 5*y + 15. Let x be w(-5). Calculate the common denominator of (30/x)/((-14)/8) and 91/4.
28
Let m = -188 + 189. Calculate the least common multiple of 14 and (m + 0/1)/(9/63).
14
Let k be (6/4 - -3)*(-16)/(-6). What is the common denominator of k/15 + (662/(-140) - 3) and (-2)/(-10) + 4466/(-280)?
28
Find the common denominator of -53/10 and -1 - (-7 - (-1986349)/331108).
71980
Let w be 6/(-3)*25/(-10). Suppose 5*h - 5*i - 35 = 0, -3*i = w - 8. Calculate the smallest common multiple of 1 and ((-58)/(-29))/(2/h).
8
Let p(f) = -19*f**3 - 2*f**2 - 11*f + 22. Let s be p(2). What is the common denominator of s/1728*((-33)/(-4) - 0) and 89/16?
144
Let v = 10409 - 93650/9. Let z(a) = -a**3 + a**2 + 1. Find the common denominator of v and z(4).
9
Suppose 82 = 2*d - 3*t, -181*d = -183*d - 2*t + 62. What is the lowest common multiple of d and 2555?
2555
Suppose 3*z = -2*q + 10, 3*q - z = 4*q - 4. Let t be (-3 - 134)/(q - 3). Find the common denominator of ((-18)/(-24))/(t/58 + -2) and 25/38.
266
Let r = 810/7 - 2353/21. Calculate the common denominator of 29/2184 and r.
2184
Calculate the common denominator of -13/224 and ((-19)/(-151240))/(34/(-6885)).
44576
Let x = -16/39227 + 2111479/79552356. Find the common denominator of -53/234 and x.
6084
What is the common denominator of 7/36 and (-4)/(-10) + (-675610)/1505400?
6948
Suppose -3*t + 963 = 891. Calculate the smallest common multiple of 12 and (12/t)/(4*(-2)/(-480)).
60
Suppose 4673 = -6*i + 5729. What is the least common multiple of i and 4128?
45408
Find the common denominator of (2 - (-893420)/89220) + -12 and -113/6.
8922
Let z = -12433/52220 - 8/1119. Calculate the common denominator of 103/210 and z.
420
Calculate the least common multiple of -6 + (4/(-1 + 5 + -5) - -255) and 410.
20090
Let p(d) = -2*d**2 + 205*d - 1506. Calculate the smallest common multiple of p(90) and 310.
3720
Suppose 2610 = 5*h + 55*z - 53*z, -h + 522 = -5*z. Suppose -3*k = 9, -2*i - 2*k - 122 = 2*i. Calculate the common denominator of 77/24 and i/h - 2*(-3)/2.
72
Suppose -663*d + 552*d + 5328 = 0. Calculate the least common multiple of 2376 and d.
4752
Find the common denominator of (6/2210*-5)/(-3) and 8/221.
221
Let m(l) = 56 - 31 - 4*l - 35 - l**3 - 2*l**2. What is the smallest common multiple of 56 and m(-3)?
616
Suppose 4*x = -9*d + 108, -205*d = -3*x - 208*d + 51. Let r(g) = -104*g - 4. Calculate the least common multiple of x and r(-3).
2772
Let o = -8259 - -24725/3. Calculate the common denominator of -33/233 and o.
699
Let k be -1 - (-59894*(-1)/(-2))/11. Suppose -1295 = 5*b + 12295. Let h = b + k. What is the common denominator of h and -46/7?
77
Let s = -238 + 232. Calculate the common denominator of s/15 + (-12733)/(-1020) and (-1)/(-4) + (-90)/(-4).
12
Let i = 268654302/235 - 22167719/20. Let m = i - 34824. Find the common denominator of m and -1/32.
1504
What is the common denominator of 20/(-18480)*-24*47/18 and -103/198?
1386
Suppose -38161 + 49448 + 49193 = 63*o. What is the least common multiple of o and 24?
960
Let r = 24443 - 22922. What is the smallest common multiple of 78 and r?
3042
Let b be (0 + 239 + 1)*(-618)/(-515). Calculate the least common multiple of 110 and 4/6*b/12.
880
Let k be (1/1 + -7221)*1/(-2). Let v = k + 5919. Let m = -114235/12 + v. What is the common denominator of 85/4 and m?
12
Suppose 61 = -10*d + 31. What is the common denominator of 77/40 and ((-2)/15*d)/(3/(-29))?
120
Suppose -294*m + 298*m = -4. Calculate the common denominator of 27/(-5)*(-20)/(-88) and 2/m*3*(-6)/16.
44
Let k(c) = 17*c**2 - 5*c + 1. Let b be k(-1). Calculate the smallest common multiple of ((-6)/15*-1)/(b/20010) and 21.
2436
Let k = -1158/7 + 49829/301. Let j be 3020/86 - (-1)/(-2). Let u = j - k. Calculate the common denominator of u and -27/10.
10
Let r = 10418108212/10099 - 1031598. Let a be 18698308/5089896 - (-2)/(-9). Let l = r + a. Calculate the common denominator of 29/8 and l.
168
Let z = 7786/18053 - 7/2579. What is the common denominator of z and 99/1952?
13664
Suppose 4 + 35 = 13*z. Suppose 11*r = 6*r + 5*i + 65, z*r = -i + 23. Calculate the least common multiple of 22 and r.
198
Let s = 252 + -189. What is the least common multiple of s/15 - (-6)/(-30) and (-30)/(-4)*(-8)/(-3)?
20
Let d(b) = -21*b. Let g = -5 - -1. Suppose 475 = 72*u - 389. Calculate the lowest common multiple of u and d(g).
84
Let f be (131/(-54))/(1/5811). Let k = 14101 + f. What is the common denominator of k and ((-20)/(1 + -6) + -6)*1068/(-360)?
90
Let c be 8385/(-18) + 25/(-30). Let v = 9701/21 + c. What is the common denominator of -117/70 and v?
70
Let r(u) = 21*u**3 - 3*u**2 + 8*u - 6. Let y be r(1). Suppose -2*f - 2*m + y = m, 0 = 2*m - 8. Calculate the smallest common multiple of f and 8.
8
Suppose 7*y - 2 = 5. Let k(a) = 73*a**3 - 4*a**2 + 3*a + 1. Let o be k(y). Suppose o - 143 = -5*p. What is the lowest common multiple of p and 5?
70
Let a = -39 + 55. What is the lowest common multiple of (-13830)/9681 - ((-38)/7 - -1) and a?
48
Let p = 10681691/4152 + -7718/3. What is the common denominator of p and 19/32?
5536
Suppose -31*c - 71442 = -17*c. Calculate the common denominator of -2 + 1 + 61/12 and (-762)/(-8)*(-14)/c*-9.
108
Calculate the common denominator of (-4)/378*(-39 - (-5713)/(-348)) and (-130)/(-36) + -2 + 2.
162
Let v(f) = 62689702940*f**2 + f + 2. Let o be v(2). Let h = -42798510956438119/170676 + o. Let s = 1/4741 + h. What is the common denominator of -17/12 and s?
36
Let a = -2831 - -2833. Calculate the least common multiple of a and 1832.
1832
Let y(m) = -98 - 128*m + 27*m + 40*m + 24*m. Calculate the least common multiple of 13 and y(-3).
13
Let v(q) = 2*q**3 - 2*q**2 + q + 91. Let i be v(0). Find the common denominator of 886/(-858) - (-14)/i and -25/9.
99
Let z = -24064 - -24320. Calculate the smallest common multiple of z and 48.
768
Suppose -3*z = 1 - 19. Suppose 0 - z = 2*k. What is the lowest common multiple of 11 and -3 + k + 21 + -3?
132
Calculate the common denominator of (184/(-16))/((-3)/6 - 19/2) and -137/300.
300
Let o = 167419/550 + -3342/11. Calculate the common denominator of o and -2/45.
450
Let t = 17681/22 + -803. Let s = -97900 + 3132797/32. What is the common denominator of s and t?
352
Let w be 4/6 - (-292795)/66. Let b = -4436 + w. What is the common denominator of -6 - 2455/(-132) - 378/2079 and b?
132
Let n be (21/9 + 1)*(-126)/(-5). Suppose -4*u - r = -n - 87, -u + 59 = -3*r. Calculate the smallest common multiple of 40 and u.
440
Suppose 130 - 24 = 3*g + 4*m, 0 = -2*g - 4*m + 72. What is the least common multiple of g and 4?
68
Let a be (12/21)/(-5*2/(-8875)). Let y = a - 106199/210. Calculate the common denominator of y and 17/21.
210
Suppose -5*u + 18 + 22 = 0. Let b = 35 - u. Suppose c = t - 9, -c - b = -5*t + t. What is the lowest common multiple of 48 and t?
48
Suppose 68*o - 70*o + 2600 = 0. Suppose -8*s + o = 12*s. What is the smallest common multiple of s and 13?
65
Let u be ((-16)/96)/((-1)/3126)