. Suppose v*h - 6*h + 24 = 0. What is the common denominator of -97/4 and ((-15)/h)/(6/9)?
4
Let l be 2209524/180 - 2/15. Let s = 650497/53 - l. Let p = s + -2004/583. What is the common denominator of 31/10 and p?
110
What is the common denominator of -83/15 and ((-37)/(-5))/(-10 - 2)?
60
Let s = -236 - -1184/5. What is the common denominator of s and 122/(-12) + (0 - 0)?
30
Let i = 750211455495467461/419188 - 1789677794918. Let h = i - 3/9527. What is the common denominator of 83/8 and h?
88
Let y = 655305/32 + -20480. Find the common denominator of y and -101/52.
416
Let s = 95 - 116. Let r = s + 48. Calculate the least common multiple of r and 33.
297
Suppose k = -3*k - 140. Let g = -24 - k. Suppose l - g = 23. What is the smallest common multiple of l and 4?
68
Let t be (2 + 3)/(72/42381). Suppose 2*f - 5904 = -0*f. Let m = t - f. Calculate the common denominator of 35/12 and m.
24
Find the common denominator of -137/24 and (-1)/2*136/(-96).
24
Suppose -16 = -t - 0. What is the smallest common multiple of t and (-10 + 13)*1 - -17?
80
Calculate the common denominator of 477/(-81)*12/(-248) and 97/10.
930
Let m(g) = g - 6*g + 12*g**2 - g**3 - 16 + 0*g - 4*g. Let d be m(11). What is the lowest common multiple of ((-33)/22)/(d/(-16)) and 1?
4
Suppose 0 = -4*m, -4*o + 140 = 65*m - 60*m. Calculate the smallest common multiple of o and 70.
70
Suppose 35*s - 1920 = 38*s. Calculate the common denominator of 55/8 and 4/(s/(-42))*234/(-27).
40
Let s = 178346/835 - 1068/5. Let x = 2867/2338 + s. Let i = -5977 + 47891/8. Calculate the common denominator of i and x.
56
Suppose 4*d + 5*r - 71 + 12 = 0, 3*d = 5*r + 88. Suppose -12 = -3*q + d. Let l = 34 - q. Calculate the common denominator of l and -19/3.
3
Let o = 8 - -8. Suppose -w + o + 0 = 0. What is the smallest common multiple of 4 and w?
16
Suppose 0 = 2*k + 250 - 74. Let n(d) = -8*d - 98. Let r be n(-12). Calculate the least common multiple of (k/12)/(r/3) and 3.
33
Let o be 24/(-108) - (-842)/(-18). Let x = -28 - o. What is the lowest common multiple of x and 6?
114
Let b be (-44)/(-3)*(-13 - -16). Suppose -2*o - 36 = -3*t, 4*o + 50 + b = -5*t. What is the lowest common multiple of 2 and (o/(-6))/((-2)/(-8))?
14
Let k be (-3)/12 - (-2087)/(-12). Let g = 6351296/29865 + -2/9955. Let v = k + g. Find the common denominator of v and -7/3.
6
Suppose -5*q + 0*s - 80 = 5*s, -3*q + 5*s = 16. Calculate the common denominator of 2 + -2 - 16/q and (-6)/3 + ((-312)/15)/2.
15
Let v(l) = -l**2 + 51*l + 230. Calculate the smallest common multiple of v(55) and 16/6*150/4.
100
What is the common denominator of -55/49 and -17 + 10 - (-178)/14?
49
Suppose 3*o - 2*g = -5*g + 21, -37 = -5*o - 4*g. What is the smallest common multiple of o and 93?
279
Suppose 0*h + 4*h + 20 = 4*l, 2*h + 1 = l. Let g(m) = m**3 + 7*m**2 - 24*m - 11. What is the least common multiple of l and g(3)?
63
Suppose 0 = 60*t - 1310 - 790. Calculate the smallest common multiple of 133 and t.
665
Let r(o) = o**2 - 4*o - 2. Let k be r(3). Let s = 13281/14 - 6590/7. Calculate the common denominator of 2 + 0 + (-38)/k and s.
70
Let t be (4/6)/(-1 + 2312). Let r = -173369/152526 + t. Calculate the common denominator of r and (65/80)/((-41)/1148).
44
Suppose -2*d = -d - 51. What is the lowest common multiple of d and 63?
1071
Suppose -2 - 6 = -2*p. What is the least common multiple of 13/5 + (-14)/(-35) and p?
12
Let w = 1197/2 + -648. Let z = -32333/44 + 2927/4. What is the common denominator of w and z?
22
Suppose -2*j + 13 = 5*n - 0*j, 3*n - 3*j = 12. Suppose -10 = -2*p - q, -2*q = -3*p - n*q + 13. Calculate the lowest common multiple of 11 and p.
33
Let t = -1504 + 1522. Calculate the smallest common multiple of 35/2 - (-3)/6 and t.
18
What is the common denominator of -7 - -7 - 5/(2370/(-279)) and 77/16?
1264
Let j = 49/719 - -35707/66867. Calculate the common denominator of j and -5/69.
2139
Let b be 6*2/6 - (5 - 3). Suppose -8*o + o + 196 = b. What is the lowest common multiple of 12 and o?
84
Let z = 2374/285 + 1/285. What is the common denominator of z and (-6)/(-4) + 4/384*-412?
24
Let c = 1109/2 - 10561/19. What is the common denominator of -29/114 and c?
114
Let y(a) = 10*a**2 - 50 - 5*a**2 + 17 - 4*a**2 - 16*a. What is the lowest common multiple of 24 and y(18)?
24
Let q = 6/1703 - -88490/18733. Find the common denominator of q and (-266)/12 - 4/(-8).
33
Find the common denominator of 8*(-9)/(-1008)*118/(-5) and -31/6.
210
Suppose -2*b - 5733 = -51*b. What is the smallest common multiple of b and 117?
117
Let j be 2/(-12) - 39/(-18). Suppose 180 = 4*s + 5*b, 5*s + j*b - b = 204. Let i = s - 85/2. Find the common denominator of i and 7/22.
22
What is the common denominator of 99/406 and -4 + (-242)/24 + (-48)/(-12)?
2436
Suppose w + 4 = 11. Suppose -10*k = -w*k - 42. What is the lowest common multiple of 32 and k?
224
Let x = 29 - 20. Find the common denominator of 17/2 and 419/56 - x/(-24).
14
Let y = 0 - -8. What is the common denominator of 99/(-12)*(-14)/(-9) and (1/(-6))/(y/(-330))?
24
Find the common denominator of (-155)/(-228) + (-13 - (-637)/52) and 17/24.
456
Let z(w) = -w**3 + 9*w**2 - 9*w + 18. Let l be z(8). Suppose m = l - 1. What is the least common multiple of m and 6?
18
Let y = 743/68 + 218/17. Find the common denominator of y and (-2)/(-9) - 371/(-126).
12
Let w = 2/5063 - 541761/50630. What is the common denominator of -65/242 and w?
1210
Let c = 1 + 1. Suppose 2*g + 2 = 8, 4*g - 22 = -c*i. Suppose i*l - 2 = -5*k + 43, -2*k = -2*l + 22. Calculate the least common multiple of 14 and l.
70
Let d = 8 - 8. Suppose 0*p - 3*p + 9 = d. Suppose 0 = -p*c - 2*c + 5*x + 65, 0 = 2*c + 2*x - 38. Calculate the lowest common multiple of c and 6.
48
Suppose 3*d - 10*d = -56. Suppose -d = 5*s - 68. Suppose -4*y = -y - 42. What is the lowest common multiple of y and s?
84
Let v = -127/215 + 10359/430. Calculate the common denominator of ((-1)/66)/(3/(-87)) and v.
66
Let g(a) = a**3 + 10*a**2 - a - 8. Let k be g(-11). Find the common denominator of (k/22 - -3) + 2 and ((-4)/12)/(6/(-171)).
22
Let u = -51 - -45. Calculate the common denominator of 83/2 and (-3915)/(-108)*u/40.
16
Find the common denominator of 70/9 and (6/(-21))/(420/(-11613)).
90
Suppose 0 - 48 = -4*f. What is the smallest common multiple of f and (3 + -5 - -7) + -1?
12
What is the smallest common multiple of 128/24*(-135)/(-28)*7 and 10?
180
Let d(l) be the second derivative of -l**4/12 - 5*l**3/3 + 3*l**2 - 12*l. What is the least common multiple of d(-8) and 18?
198
Suppose 2 = -2*i - 4*r, 4*i - 6 = i + 3*r. Suppose -q - i = -7. What is the lowest common multiple of 64 and q?
192
Let d be (-9704)/6*(-9)/(-6). Let o be 1 - (-1 + (-4854)/d). Let z = o + -25451/26686. Calculate the common denominator of 83/16 and z.
176
Let c(u) = u**3 + 9*u**2 - 19*u - 71. Calculate the least common multiple of c(-9) and 6.
300
Let b = -329 - -353. What is the least common multiple of 120 and b?
120
Let a be (-1 - -2)*-1 - -5132. Let g be -12*8/(-64) - (-71969)/(-14). Let m = a + g. What is the common denominator of 20/19 and m?
133
Suppose 1 = -z - 20*k + 19*k, 21 = 3*z - 3*k. Calculate the smallest common multiple of 654 and z.
654
Let c(l) = -l**2 + 14*l + 3. Let n be c(15). Find the common denominator of 13/2 and (-1 + 12)*7/n.
12
Let h = -890/3 + 4507/15. Let a(q) = -13*q**2 - q. Find the common denominator of a(1) and h.
5
Suppose 5*m = 3*b + 1321, -67 = m + 2*b - 339. What is the least common multiple of m and 8?
1064
Let i = 28 - 14. Let w = 7 + -3. Suppose 4*a + a = -w*n + 8, -3*a - 10 = -5*n. Calculate the smallest common multiple of i and n.
14
What is the common denominator of 7 + -71*(-6)/24 and -115/108?
108
Let o(x) = x**2 + 2*x - 8. Let h be o(3). Suppose 8*w + h = 23. What is the smallest common multiple of w and 1?
2
Suppose -6*x - 24 = -8*x. Calculate the common denominator of ((-4)/4 - -3) + (-278)/x and 91/6.
6
Suppose -65 = -5*i - 3*l, -11 + 1 = -2*i + 2*l. Calculate the smallest common multiple of i and 16.
80
Suppose 0 = 5*z - 2*s - 28, -z + 5*s + 32 = 2*z. Suppose 2*u - 28 = -z*q, -2*q + 3*q + 2*u = 4. Calculate the least common multiple of q and 10.
40
Let f = -31613/40 + 6945/8. Let i = f + -79. What is the common denominator of i and -11/5?
5
Suppose 0 