41843 + -7908301/1087918. Let h = 68/13 - y. Suppose -5*u + 25 = 0, -41 = -j - 4*u + 5. What is the common denominator of h and j?
2
Suppose -4*w + 78 = -w - 3*y, y = 4. Calculate the common denominator of (w/(-36))/((-4)/(-3)) and 85/146.
584
Let a(q) = q + 4. Let c = 9 + -20. Let o = c - -23. What is the smallest common multiple of a(8) and o?
12
Suppose 4*y + z + 3 - 10 = 0, 5*z - 12 = 3*y. Let f = 307/20 - 39/4. Calculate the common denominator of f and -10*y/(32/38).
40
Let i = 0 + -5. Let t(h) = -h**3 - 5*h**2 + 6. What is the smallest common multiple of t(i) and 9?
18
Let a = -29749 - -1487393/50. Calculate the common denominator of a and -73/15.
150
What is the common denominator of 2 + (-28)/(-9) + -1 and (6/(-144)*-6)/(18/148)?
18
Let c = -33/13 + 983/208. Let s = -16787/10 - -1680. Calculate the common denominator of s and c.
80
Suppose 4*w + 5*b - 17 = 0, -2*b = 4*w - 9*w + 13. Let r = 61 - 53. Suppose -r = a - w*a, 2*l = -a + 16. What is the smallest common multiple of l and 18?
18
Let b = 9048 + -9047. Let x = 35313/3640 - 1/728. What is the common denominator of x and b?
10
Suppose 14 = -0*h + 2*h. Let f = h - 5. Suppose 3*y - 26 = -2*q, -4*q + 5*q + 39 = 5*y. Calculate the lowest common multiple of y and f.
8
Suppose -16 - 13 = -4*i - x, 2*i = -3*x + 27. Calculate the smallest common multiple of i and 360.
360
Let m = -12255/2032 - 4/127. Find the common denominator of (-2)/(-7) - (-1089)/(-2268) and m.
144
Let a be 6*9/(-12)*6. Let f = 19 + a. Let p = -3 - f. Calculate the smallest common multiple of 11 and p.
55
Let d(c) = 8*c - 123. Calculate the lowest common multiple of 1 and d(32).
133
Let v = 10979 - 263417/24. Find the common denominator of v and 75/34.
408
What is the least common multiple of 43 + ((-1)/2)/((-73)/146) and 220?
220
What is the common denominator of -127/18 and ((-1515)/10 - 0)*1/(-9)?
18
Suppose 0*d + 20 = d. Suppose -5*v = -138 + 43. Suppose 4*o = -4, -o + 12 + v = 2*j. Calculate the lowest common multiple of j and d.
80
Let l = 31 - -2. Calculate the smallest common multiple of l and -2 - 11/((-11)/5).
33
Suppose -3*l + 6440 = l. Let q = l + -17698/11. Calculate the common denominator of 206/(-12) - (-10)/15 and q.
22
Let l(o) = -10*o - 4. Suppose 0 = -5*u - 2 - 18. Let m be l(u). Suppose -2*j = -5*j + m. Calculate the least common multiple of j and 16.
48
Let z = -15865/2262 - -206/29. Find the common denominator of 67/12 and z.
156
Let u be (-1 - 5) + (2 - 3). Let q(w) = -w**3 - 8*w**2 - 9*w - 2. What is the least common multiple of 10/((12/2)/12) and q(u)?
60
Suppose 0 = -5*t + b + 8523, -3*b + 5121 = -0*t + 3*t. Calculate the lowest common multiple of (-2)/(-4) - (-22)/4 and t/62 - (-2)/4.
84
Suppose 8 = 3*l - 1. Find the common denominator of -77/4 and -1*109/14 + l.
28
Let i(n) = -n + 0 + n + 14 - 3*n. What is the lowest common multiple of 20 and i(0)?
140
Suppose 5 = 5*w + 25. Suppose -4*b = -3*b + 4*c - 14, 5*b - 4*c - 46 = 0. Let x = b + w. Calculate the lowest common multiple of x and 3.
6
Let v = 2 + 84. Let y = v - 76. What is the least common multiple of y and 4?
20
Let u = -107 - -59. Let t = 3/2 - u. Calculate the common denominator of -93/10 and t.
10
Let d(s) = 1 + 10*s**2 - 21*s**2 + 9*s**2 + 18*s + 6*s. What is the smallest common multiple of 4 and d(10)?
164
Suppose 0*w = -6*w + 390. Find the common denominator of -39 and (-20)/30 + (-2)/66*w.
11
Let f be -3 + 2 - 1*(-44)/4. Suppose -f*q + 9*q + 4*s + 36 = 0, 3*q + 3*s = 33. Let p = 1 + 1. Calculate the least common multiple of p and q.
16
What is the common denominator of -57/62 and (288/(-120))/(18/(-100))?
186
Let w = 184887 + -53617291/290. What is the common denominator of w and -43/174?
870
Suppose 3*g - r - 129 = 0, -7*g + 6*g + 4*r = -54. Calculate the smallest common multiple of g and 3.
42
Let f be 4/18 - 118892/(-72). Let k(j) = 65*j**2 - 2*j + 5. Let m be k(5). Let u = m - f. What is the common denominator of u and 63/2?
2
Let c be 423/4*3/(-18). Let d = -1117/72 - c. What is the common denominator of -77/2 and d?
18
Let t = -85779/10 - -8566. Calculate the common denominator of -101/142 and t.
710
Suppose 58 = 2*i + 2*r + 24, 0 = -i - 5*r + 5. What is the least common multiple of i and 50?
100
Suppose 14 = -0*o - 2*o - 2*f, -2*o - 3*f = 9. Let d = o - 10. What is the common denominator of 5 - 3 - 19/d and -117/20?
220
Let c = -3281/22 + 204877/1386. What is the common denominator of c and 43/266?
2394
What is the common denominator of -17/72 and (2/(-1848)*-3)/(420/9310)?
792
Let o = 84241865/343644 + 1/49092. Let z = o - 3401/14. Calculate the common denominator of z and 6/(-24) - (-453)/(-36).
42
Let y = -59869/20 - -2991. What is the common denominator of y and -101/16?
80
Suppose -6*g - g + 14 = 0. Suppose g*f + 4*k - 16 = 0, 2*f - 2*k - 16 = -0*k. Calculate the smallest common multiple of 9 and f.
72
Suppose -8 = 2*g, 4*l - 3*g - g = -104. What is the common denominator of 23/22 and ((-486)/l)/(4 - 0)?
220
Let j(u) = 58*u - 4. Let x be j(2). Suppose 38 = -4*z + 3*k + 140, -2*k = 4*z - x. What is the least common multiple of z and 12?
108
Suppose 3262 = 5*g - h, 0 = -2*g + 6*g + 4*h - 2624. Let a = -106974 - -645737/6. Let z = g - a. Find the common denominator of -9/14 and z.
42
Let l be (-141)/5 - (-1)/5. Calculate the common denominator of (-1 - -24)/(26 + -4) and -2 + 6*(-9)/l.
154
Let y be (2*3433)/(12 + -10). Let x = 27429/8 - y. Calculate the common denominator of 2 - (-177)/(-48)*2 and x.
8
Let b(w) = w. Suppose 0 = 6*v + 224 - 770. Suppose v*t - 96*t = -30. What is the least common multiple of t and b(1)?
6
Let q = 13008/2827 + 9/257. Calculate the common denominator of (1834/168)/((-1)/2) and q.
66
Suppose -80 = -10*k + 15*k. Let s = 34 + k. What is the smallest common multiple of 4 and s?
36
Suppose 5*k - 12 = j, -k - j + 2 + 4 = 0. Calculate the common denominator of (606/(-120) - -5)/(k/258) and -2*(74/(-32) - -1).
40
Calculate the common denominator of ((-108)/(-3))/((-80)/(-24)) and 50/9.
45
Let q(d) = 5*d + 22. Let o(g) = 10*g + 43. Let b(t) = -3*o(t) + 5*q(t). What is the smallest common multiple of 1 and b(-6)?
11
Let t(j) = 3*j**2 + 3*j - 40. Calculate the lowest common multiple of 56 and t(-5).
280
Let u = -2875469/42 + 68335. Let g = 394/3 + u. Calculate the common denominator of g and 53/20.
140
Suppose -11*m = -255 + 35. Calculate the least common multiple of m and 35.
140
Let j(u) = -7*u + 44. Let t be j(6). What is the common denominator of 71/12 and t/1 + -1 - (-123)/12?
12
Let o(i) = -i**2 - 9*i - 9. Let g be o(-7). Suppose 0 = g*v + 3*k - 9, 0 = -4*v + v - 2*k + 6. Find the common denominator of (-94)/34 + v + 0 and -42/5.
85
Calculate the least common multiple of (12/15)/(2/600) and 5.
240
Let n(b) = -13*b**2 - 3*b - 8. Let l be n(10). Let j = l + 435. Let p = j + 2642/3. Calculate the common denominator of -50/3 and p.
3
Let k be (1 - (-422)/(-33))/((-8)/(-24)). Let i = 1373/55 + k. Find the common denominator of -49/5 and i.
5
Let g(j) = j**2 + 5*j + 9. Let z be g(-3). Suppose -330 = -z*w - 7*w. Calculate the lowest common multiple of 21 and w.
231
Suppose 8*d + 4*x - 628 = 4*d, 0 = d - 5*x - 139. What is the smallest common multiple of d and 406?
4466
What is the common denominator of 157/30 and ((-12)/27)/((-39)/26)?
270
Let v(h) = h**2 + h + 8. Suppose -d = d. Let q = -2 - -7. What is the smallest common multiple of v(d) and q?
40
Let s be 2 - 1 - 514/508. Let a = s - -1471/889. Calculate the common denominator of -3 - ((-1)/11)/(36/(-54)) and a.
154
Let c = -6462 - -51625/8. Find the common denominator of c and 25/498.
1992
Suppose 2*z = -5*z + 21. Suppose z*o + x = -3*x + 46, -3*o + 71 = -x. What is the least common multiple of o and 36?
396
Suppose -4*v - 4*r + 148 = 0, -108 = -4*v + v - 4*r. Suppose 27*h - 25*h = v. Let q = -15 + 21. Calculate the lowest common multiple of h and q.
60
Let j be 2 - (-3)/(3 - 0). Let m be -1 + (12 - 0)/4. Suppose 4*f + 44 = 4*s + 5*f, -j*f - 8 = -m*s. What is the least common multiple of s and 20?
20
Let u be 4 - (-2)/4*22. Suppose -48 = -u*t + 7*t. Let q = 38 - 27. Calculate the least common multiple of q and t.
66
Suppose -253 = 2*n - 5*l + 102, -2*l = 2*n + 390. Find the common denominator of 103/12 and (-165)/n + -5 - (-4)/1.
228
Suppose