Calculate the common denominator of (1078/189)/(8/6) and (-10)/(-10) - 23/(-2).
18
Let v = 209237894/47362725 - -4/1894509. Let j = 4/225 - v. Calculate the common denominator of j and (18/(-21))/((-6)/(-8)).
35
Let v = 61/2 + -376/15. Find the common denominator of v and 63/25.
150
Let n be 139/(-2)*396/(-9). Let s = n - 12151/4. What is the common denominator of ((-9)/6)/(6/134) and s?
4
Let y = 6412 - 4480. Calculate the least common multiple of y and 2.
1932
Let d = 25293039853/12577970 + 2/1257797. Let l = d + -2013. Let s = 4268 + -76861/18. Find the common denominator of l and s.
90
Let x = 52421/6 + -8756. What is the common denominator of 19/127 and x?
762
Let t = 1787 - 1766. Suppose -2*o = 3*o - 105. Calculate the least common multiple of t and o.
21
Find the common denominator of 41/19 and (-2 - 67/4)/((-39)/6).
494
Let f be ((-102)/(-5))/((-8)/(-20)). Let i be f*(-4 - (2 + -2)). Calculate the common denominator of (-4)/(-34) + 75/i and -63/5.
20
Suppose -2*x + 4 = 5*i, -2*i + 4*x - 8 = -5*i. Suppose 4*t - 24 - 8 = i. Calculate the least common multiple of t and 9.
72
Suppose 5*y = u + 10, 2*u - y = -0*y + 7. Suppose -u*b + 195 = 55. What is the lowest common multiple of b and 12?
84
Let x be (-261)/(-264)*(-69)/6*-4. Let v = -480/11 + x. Find the common denominator of -33/4 and v.
44
Let d = 307/3828 - 7/66. Let z = -1801/116 - d. Find the common denominator of z and 143/12.
12
Let n = 4209653/108 + -38978. Calculate the common denominator of n and -61/96.
864
Let z(y) = -y**2 - y + 6. Calculate the common denominator of z(4) and -58/3.
3
Suppose 0 = 2*m - 3*l - 19 + 3, -2*m = l - 8. Suppose -m*b = -3*b. Suppose b = -2*r + r + 8. What is the least common multiple of 9 and r?
72
Let z be 606/(-2120)*-57*(-2)/9. Let l = 142/53 - z. Find the common denominator of -43/20 and l.
20
Suppose m = 3*v + 6*m - 19, -v - 1 = -2*m. Suppose -12 = -v*c - 0. What is the lowest common multiple of 4 and c?
4
Suppose 9*w - 11*w + 4 = 0. Calculate the least common multiple of (-6)/w*1 - -12 and 2/6 - (-33)/9.
36
Suppose -230 = -16*o + 58. What is the lowest common multiple of 78 and o?
234
Suppose g - 4*g - 5 = -2*m, 0 = -2*g + 2*m - 4. Calculate the smallest common multiple of 8 and (g + 13)/((-8)/(4/(-1))).
24
What is the least common multiple of 198 and 8968/68 + -3*(-8)/204?
396
Calculate the lowest common multiple of 6328/210 - 14/105 and 153.
1530
Let i = 40139 - 3371737/84. What is the common denominator of i and -157/210?
420
Let p = -348 - -2440/7. Let t = 1261/20 - 424/5. What is the common denominator of p and t?
28
Let p = 6147/2266 - -53/103. Calculate the common denominator of p and 37/34.
374
What is the lowest common multiple of -4 + 18/5 + 192/30 and 13?
78
Suppose -23 = -2*d - 1. Let l = -8 + d. Calculate the least common multiple of l and 18.
18
Let d be 162/(-480) + (-1 - (-7)/5). Let f = d - -101/48. What is the common denominator of f and (-2)/(-8) + 369/84?
42
Calculate the common denominator of 91/54 and (7/14)/(-3 + 1824/428).
270
Let k be ((-3)/(-4))/((-1)/(-12)). Let y(f) = -2*f + 10 - k*f - 4. Calculate the common denominator of y(-4) and -29/10.
10
Let t = -46 - -44. Calculate the common denominator of -1/8 and (-15)/(-15) + t/32.
16
Let q = 7592505/152 + -49948. Let o = q - 5/76. Calculate the common denominator of 47/7 and o.
56
Let p(y) = -y**3 + 3*y**2 + 2*y - 4. Let u be p(3). Suppose 4*a - 7 = -t, u*t = -2*a + 3*t + 11. Calculate the least common multiple of 6 and a.
6
Let v = -11403/4 + 878239/308. Let p = v - 6/7. What is the common denominator of p and (-7)/3*108/(-8)?
22
Suppose 135 = 18*f + 27*f. Let a = 15 + 9. What is the least common multiple of a and f?
24
Let o(p) = 27*p - 92. What is the least common multiple of 369 and o(11)?
1845
Let u(l) = 2*l + 14. Let c be u(-7). Suppose c*q = -4*q. Suppose q = -2*z + 12 + 2. What is the lowest common multiple of 6 and z?
42
Let m be (12/(-10))/((-3)/15). Suppose -4*s - 13 - 11 = 2*o, o + 4*s = -m. Calculate the common denominator of (o/15)/(4/(-21)) and -27/14.
70
Suppose 4*q = -i - 2536803, 0*q - 4*i + 1268388 = -2*q. Let t be 336795/q - 2/5. Let y = t + 3/1208. What is the common denominator of y and -115/78?
546
Let i = -6 - -18. Suppose -3*z = 196 - 205. Suppose 0*h - 3*p = -z*h + 9, 20 = 5*h - 4*p. What is the lowest common multiple of h and i?
24
Suppose -4*g = 4*p - 2*g - 56, 3*p - 3*g = 33. Let c(y) = -y**2 - 5*y - 15. Let n be c(p). Find the common denominator of (-12)/(-3) - n/30 and 44/9.
90
Let o = 47538392767/7360440 - 4775058/739. Let k = -8640 - -10756796/1245. Let v = o - k. Find the common denominator of 57/16 and v.
16
Let i be 6/4*(-16)/(-6). Suppose 3*v = -2*y + 8, 9 = i*y + 2*v - 15. What is the least common multiple of 4 and y?
28
Let x = 431/4 - 111. Let i be (-1 + (-3 - -1))*(-8)/(-6). Find the common denominator of x and -2 + (-38)/i*(-3)/(-33).
44
Suppose 0 = -187*g + 190*g - 300. Calculate the least common multiple of 60 and g.
300
Let r be (1*6)/(0 - 18/(-348)). Find the common denominator of 85/2 and 3/(-2)*(r/9)/4.
6
Let s(y) = 6*y**2 - 165*y - 58. Calculate the least common multiple of 78 and s(28).
78
Let r(u) = 45*u + 78. What is the least common multiple of r(0) and 22?
858
Suppose 0 = -m - 5*w + 14, -2*m + w + 27 + 45 = 0. Let d = 39 - m. Let o = -13 - -19. What is the lowest common multiple of o and d?
30
Let f be -1*2/(-1) + (281 - 3). What is the common denominator of (-7)/(f/132) - 6/(-10) and 1/1*1/(-9)?
90
Suppose -4*k - 3 = -5*k. Let t = -124 + 84. What is the common denominator of 17/3 and (2 - (-76)/t) + k?
30
Let v be (3/(-1))/((-7)/(28/6)). Suppose v = 3*y - 4*g - 5, 0 = y - 4*g - 5. What is the least common multiple of 1 and y?
1
What is the lowest common multiple of 6/(3351/(-480) - -7) and 1?
320
Let u be (-2)/(-4)*(-52)/(-4329). Let v = 289/7326 + u. What is the common denominator of 1180/45*6/16 and v?
66
Let o = -58257 + 2912963/50. Calculate the common denominator of 2/45 and o.
450
Suppose 80 = 4*g - 3*w, 4*w - 8*w = -4*g + 80. Let y = 210 + -160. What is the common denominator of (-24)/g*(-9)/(-2) and y?
5
Let l = -35 + 39. Suppose 0 = 3*j - 4*h - 48, -l*j = -3*j + 4*h - 32. Calculate the smallest common multiple of j and 32.
160
Let n = 38 - 39. Let p(o) = -7*o**3 + o**2 + 2*o + 2. Calculate the least common multiple of 36 and p(n).
72
Suppose -52*v - 5*r = -48*v - 13, 3*v = -2*r + 8. What is the smallest common multiple of 221 and v?
442
Suppose 2*u - 13 = -4*o - 1, 5*o = -3*u + 17. Suppose u*y + 84 = -3*j + 5*y, 5*y + 112 = -4*j. What is the common denominator of -59/20 and 7/28 + 193/j?
140
Let n(d) = -2*d - 11. Let i = 14 - 20. Let z be n(i). Suppose -v + z = g + v, 3*g = v + 10. Calculate the lowest common multiple of 1 and g.
3
Let p = 4 - 11. Let f = 11 + p. Calculate the least common multiple of -1 - 4*6/(-12) and f.
4
Suppose 0 = -63*u - 77*u + 3920. Suppose -3*z + 2*h = -50, h + 75 = 5*z - 4*h. Calculate the lowest common multiple of z and u.
140
Let n = 6 + -6. Suppose 2*h - 12 - 22 = n. Let f = h - 10. What is the least common multiple of 8 and f?
56
Let y(a) = -a**2 - 15*a + 52. Suppose 17 = -2*l + l. Suppose 4*k + 0*k - 64 = 0. What is the least common multiple of y(l) and k?
144
What is the common denominator of -30/143 and 4 + 24/(-3) - (-8820)/2178?
1573
Let g = -2793/8 - -304477/872. Calculate the common denominator of g and 32/5.
545
Let i(s) = s**2 - 2*s - 36. Calculate the lowest common multiple of 794 and i(8).
4764
Find the common denominator of -49/6 and 88/624*(-20)/(-16).
312
Let l be 7 + ((-4)/(-10) - 34/10). Suppose -7 = -l*j + 1. Calculate the smallest common multiple of j and 128.
128
Let v be ((-3)/5)/(-3) - (-240)/50. Suppose f = b + 5, v*f - 3*f + 3*b - 25 = 0. What is the lowest common multiple of 20 and f?
40
Let w = -645994/3 - -100132652/465. Let b = 37/62 + w. Find the common denominator of (-56)/(-12)*(-147)/(-70) and b.
10
Suppose -2*n + c + 45 = 2*n, 0 = -5*n - 2*c + 40. Calculate the least common multiple of (4/5)/(1/n) and 6/2*7 + 183/(-61).
72
Let r(u) = u**2 - 8*u + 3. Let p be r(8). Suppose -d + 48 = 4*j, p*j + 71 = 2*d + 6*j. What is the smallest common multiple of d and 44?
308
Let g(d) be the first derivative of -d**4 + d**3/3 + 3*d**2/2 + 2*d - 1. What is t