 What is the common denominator of o and 31/6?
6
Let z = 667 + -21347/32. What is the common denominator of 61/10 and z?
160
Suppose 0*v = -3*v + 36. Let p(l) = 10*l - 12. Suppose q + 3 = b + 3*q, 5*b - 15 = 2*q. Calculate the least common multiple of v and p(b).
36
Let o be 2/9 + (-320)/(-18). What is the lowest common multiple of 39 and (-3)/(-1)*2*3/o?
39
Let r(h) = h**2 + 5*h + 15. Let d be r(-6). Let y = 29 - d. What is the lowest common multiple of 18 and (-1)/(-8)*22*y?
198
What is the common denominator of 88/195 and ((-6477)/1260)/(-17) - (-8)/(-32)?
2730
Let v = 96175/1694 - 49/242. Let k = -1801/28 + v. Find the common denominator of ((-3)/5)/((-6)/105) and k.
4
Let n(l) = -l**2 - 4*l + 1. Let q be n(-3). Suppose 9*w - q*w = 10. Suppose t + j + 3 = 17, 24 = w*t + 4*j. What is the least common multiple of 11 and t?
176
Suppose -43 = -4*x - 7. Suppose 5*u = x + 21. Calculate the smallest common multiple of u and 9.
18
Let c be (-1)/4 - 30/8. Find the common denominator of (21/(-168))/(2/49) and (-2)/(-6)*109/c.
48
Suppose 2*p - u = 3*p, 0 = 3*u - 9. What is the common denominator of -31/4 and (-5)/6*p/20?
8
Let w = -5683/4 + 1400. What is the common denominator of 19/5 and w?
20
Let o be ((-588)/(-10480))/(174/27525). Let b = o + -2/3799. Find the common denominator of b and 29/4.
8
Suppose 4*z - 16 - 6 = -d, z = -5*d + 15. Suppose 6*f - z*f = 2. Let b = 13 - 7. What is the least common multiple of b and f?
6
Let z = 61 - 56. Suppose -4*x - 2*y + 22 = 0, -x - 4*x - z*y = -35. Calculate the smallest common multiple of 2 and x.
4
Suppose 0*y = y - 4, -y = -4*r + 120. Suppose r = -5*p + 51. What is the least common multiple of p and (-2)/(3/((-9)/6))?
4
Let x be (-99)/15 - 6/(-10). What is the common denominator of 57/8 and (-186)/16 - x/24?
8
Let i(j) = -j**3 - 5*j**2 + 5*j - 4. Let h be i(-6). Find the common denominator of 27/10 and 7/((-35)/h) + 816/(-460).
230
Suppose 780 = -81*z + 91*z. Calculate the smallest common multiple of 66 and z.
858
Suppose u - 7 = o, 0*u = -2*u - 5*o + 42. Let d = 5593 + -5584. Calculate the smallest common multiple of d and u.
99
Let j = 59/66 - 1/6. Let i = 11790/247 - 652/13. Find the common denominator of i and j.
209
Let s = -44 + 60. Suppose 2*w = s + 28. Let y = -9 - -21. Calculate the least common multiple of w and y.
132
Suppose 133 + 43 = 4*c. Let y = -5 - -23. What is the common denominator of 119/18 and c/(-20)*(-25)/y?
18
Let v = -2886713/60 - -48113. What is the common denominator of -143/36 and v?
180
Let h = 8125216476/26228825 + -11654/55925. Let l = h + -2162/7. Calculate the common denominator of l and -97/10.
670
Find the common denominator of (-31)/(-248) - 2447/888 - -2 and 43/9.
333
Let m(r) = 2*r**2 - 8*r + 4. Let i(o) = o**2 - 7*o + 9. Let k be i(6). Suppose 6*l = k*l + 24. Calculate the lowest common multiple of m(4) and l.
8
Suppose 7*z = 3*z - 5*t + 39, 2*z + 2*t - 22 = 0. Calculate the smallest common multiple of 2 - (3 - 2) - (-8 + 5) and z.
16
Suppose -4*y + 4 = 0, 5*l = 4*y - 6 - 28. What is the common denominator of -8/5 and 12/56*(-8)/l?
35
Let p = 922 + -219433/238. Find the common denominator of p and 44/255.
3570
Let f(v) = 5*v**2 - 6*v - 6. Calculate the least common multiple of 5 and f(4).
50
What is the smallest common multiple of (-189)/(-12) - 1/(-4) and (-1)/3 + ((-66)/(-9) - -3)?
80
Let l(v) = -3*v + 20. Let p(h) = h. Suppose 0 = 5*y + 4*q - 21, -y + 3*q - 10 = y. Let o(i) = y*l(i) + 4*p(i). What is the least common multiple of 18 and o(0)?
180
Let i = -64405234465000973296 + 3192462363087451237845749185/49568368. Let w = -1/6196046 - i. Let q = 2553 - w. Find the common denominator of -27/4 and q.
16
Suppose 110 = 3*l - 19. Let c be 4*((-28)/(-8) + -3). What is the common denominator of l and (-2)/5*53/c?
5
Suppose r - 6 = l - r, 4*r - 24 = -l. Suppose -p - 2 = -3*c + 2*c, 2*p + 2*c - 12 = 0. Let j = l - p. Calculate the smallest common multiple of 3 and j.
6
Let l be 4/6 - 233/4494. Let j = l + 3/107. Find the common denominator of j and (99/48)/((-30)/(-72)).
140
Let z = 42 - 37. Suppose 2*n + 4*g = -0*n, -z*g = 3*n - 3. Calculate the smallest common multiple of n and 18.
18
Let l = -146/261 + -9937/2610. Let c = -354713/780 - -5916/13. Find the common denominator of l and c.
60
Suppose 6*y - 158 = 3*l + 2*y, -l - 3*y - 31 = 0. Let a = l + 56. What is the smallest common multiple of a and 14?
70
Suppose 15637 + 3641 = 51*x. What is the least common multiple of x and 15?
1890
Let x = 5555/3 - 1835. What is the common denominator of x and -23/63?
63
Let n be 0 - (-1 - -2)*-1. Let z be (-3 + n)*(-2 - -1). What is the smallest common multiple of (1 - 1 - z) + 8 and 3?
6
Let x = 25188 - 604423/24. Calculate the common denominator of 356/(-12)*1/6 and x.
72
Suppose -2*m + 5*z + 6 = -31, -m - 5*z - 19 = 0. Calculate the least common multiple of m and 57.
114
Let q(i) = i**2 + 5*i - 4. Let n(y) be the first derivative of -2*y**2 - 13*y - 9. What is the least common multiple of q(-7) and n(-6)?
110
What is the common denominator of -113/14 and 14/104 - ((-42)/(-6) - 5)?
364
Let k = -20 + -30. Let y = k - -34. Find the common denominator of (-65)/6 + (-12)/y and -17/14.
84
Let v be 3 - 4 - (-198239298)/(-32). Let c = v + 6192741. Let w = c - -2239. What is the common denominator of w and 52/3?
48
Let r = -323 - -147. What is the common denominator of (-4)/(-3)*(-207)/40 and 60/r*(-148)/(-10)?
110
Suppose 2*f - 4*f - 27 = -3*q, -2*q - f + 32 = 0. Calculate the least common multiple of q and 2/(-7) - 9/(-7).
13
Suppose -21*a = -22*a + 2. What is the smallest common multiple of -1 - ((-75)/4)/(3/12) and a?
74
Let l(s) = 15*s**2 - s - 3. Let u be l(-3). Let i = -6 - -10. Suppose 0 = -o - i*o - u. Calculate the common denominator of o and -1/10.
10
Let m = -61 + 69. Calculate the lowest common multiple of 28 and m.
56
Let c be 351366317/177*(-714)/30. Let j = c + 47245843. Let a = j + 6/295. Find the common denominator of a and -53/8.
24
Let v(j) = -21*j - 54. What is the smallest common multiple of 140 and v(-4)?
420
Suppose 0 = -3*i - 11*i. What is the common denominator of -13/28 and -2 - (-6)/144 - (1 + i)?
168
Suppose 335*n + 20 = 339*n. What is the least common multiple of 251 and n?
1255
Suppose -39 = -218*l + 205*l. Let c = -25 - -76. Suppose 5*w - c = 4. Calculate the least common multiple of w and l.
33
Let a(t) = 6*t**2 - 3*t + 2. Let m be a(2). Calculate the common denominator of -25/2 and ((-78)/m - -4)*-71.
10
Let w = 6 + 6. Suppose 33*t + 58 = 190. Calculate the least common multiple of t and w.
12
What is the common denominator of 154/(-4)*(-1)/4 and (-10325)/(-630) - 5 - (-2 + (-34)/(-18))?
8
Suppose 32 + 22 = 18*o. What is the smallest common multiple of (3 + -8)*(1 + -2) and o?
15
Suppose -3*y = -4*f + 4, -3*y + 1 = -f - 7. Calculate the smallest common multiple of 6 and (2/y + 0)/(7/42).
6
Let a be 0 + (-564)/(-52) + (-2)/(-13). Let i(c) = -c - 10. Let g be i(-7). Let f = g + a. What is the least common multiple of f and 32?
32
Suppose -3*s - 133 = 5*g, 0*g = -5*s + 2*g - 263. Calculate the common denominator of -45 and 2/(-4)*(s - -2).
2
Suppose -c - 4*z - 21 = -0*c, -3*c = 2*z + 93. What is the common denominator of -5*-5*1/(-40) and 6/c + 666/(-88)?
8
Let x = 1/493 + 15281/986. Let j = 3/3664 - 22197/260144. Let m = -2177/284 + j. Find the common denominator of m and x.
4
Suppose 3*v - 22 = -1. Suppose -5*r + 3 = -v. What is the lowest common multiple of r and 9?
18
Let m(n) = n**3 + 7*n**2 - 2*n + 16. Calculate the smallest common multiple of m(-7) and 39.
390
Let w(p) = 172*p + 14. Let v(q) = -q**3 - 7*q**2 + 9*q + 1. Let b be v(-8). Let t be w(b). Let d = t - -10724/9. Find the common denominator of d and 22/3.
9
Let v(h) = 2*h + 6. Calculate the smallest common multiple of v(3) and 24.
24
Let r be 4/((-6)/(-3) - -19). Let j = -1117033/337470 - -4/8035. Let z = r - j. Find the common denominator of 3/4 and z.
4
Let d be 6/10*10/4022. Let h = 26011/88484 + d. Let a = 8/55 - h. Calculate the common denominator of a and -55/16.
80
Suppose 71 = 17*z + 20. Suppose 4*g - 2*q - 129 = z*q, 0 = 5*g + 5*q - 195. Calculate the lowest common multiple of g and 44.
396
Let n(z) = -2*z**2 - 3*z + 3 + 2*z - 3*z + z. Let f be n(3). Calculate the smallest commo