6/5 + 17827/210. Find the common denominator of j and -55/27.
378
Let v(r) = r**2 + 8*r + 4. Suppose k + 5*g = 4*k - 40, 0 = -4*k - 4*g + 32. Calculate the smallest common multiple of k and v(-8).
20
Suppose 2*q + 10 = 3*z, 5*z - 8 = 4*q + 10. Suppose -t = 3*m + 20, -5*t - 3*m + 3 = 43. What is the lowest common multiple of (-1)/(-5) - 34/t and z?
14
Calculate the common denominator of (-329)/35 + 9 + (-401)/(-390) and -97/52.
156
Suppose -1835 - 1674 = -29*r. Calculate the lowest common multiple of 55 and r.
605
Suppose 6*c - 8*c = -14. Let o = c + -1. Suppose 0 = 4*b - 3*j - o - 11, -5*j = 5*b - 65. What is the lowest common multiple of 11 and b?
88
Let g = -34 + 38. Suppose g*y = 5*y - 46. Calculate the lowest common multiple of 12 and y.
276
Suppose -4*p = -7*p + 18. Find the common denominator of -37/7 and (-2424)/(-462) + p/(-14).
77
Let w(q) = -3*q - 24. Suppose 5 = 5*y, 5*o + 40 = -5*y - 15. Let c(u) = 11*u**2 - 2*u + 1. Calculate the lowest common multiple of w(o) and c(1).
60
Suppose 18*o - 160 - 164 = 0. What is the lowest common multiple of o and 33?
198
Suppose 4*z = -41 - 19. Let h be 216/8*(-4)/(-18). What is the least common multiple of 2 and 1*h*(-10)/z?
4
Let n(v) = 4*v**2. Let a be n(-5). Suppose 5*f = 2*g + 96, -a = -3*f - 4*g - 32. Suppose 5*u - 37 = 63. What is the lowest common multiple of u and f?
20
What is the common denominator of ((-5)/(-45))/((-10)/165) and -115/816?
816
Let h = 63 + -39. What is the least common multiple of (-2)/(-11) - (-3406)/143 and h?
24
Calculate the common denominator of -58/3 and 879/126 + (-51)/17.
42
Suppose -41*i + 39*i = 3*p - 50, -32 = -2*p - 2*i. Suppose 0*t + 4*t - 48 = 0. What is the smallest common multiple of t and p?
36
Let p = 47 - 27. Suppose -2*n = -7*n - 65. Let k = n + 25. Calculate the smallest common multiple of k and p.
60
What is the lowest common multiple of 6 and 9/15 + 588/20?
30
Let i = 54 + -52. Let r(z) = -3*z - 6. What is the least common multiple of r(-6) and i?
12
Let s = -30 + 34. Calculate the common denominator of (3/s)/(1/(260/(-12))) and 113/6.
12
Suppose 3*s - 13 = -5*c, 2*c + 7 = 2*s - 7. Calculate the smallest common multiple of s and 6.
6
Let i be ((-8)/65862)/(12/18). Let n = 5323837/43908 - i. Let s = n - 122. Calculate the common denominator of s and -77/2.
4
Let m(s) = 6*s - 16. Let y be m(11). Let l be -2 - -3 - (-1 + 2). Suppose l = 4*t - 30 - y. Calculate the smallest common multiple of t and 14.
140
Let t(v) = v**3 - 31*v**2 + 40*v - 273. What is the smallest common multiple of 54 and t(30)?
54
Let o(y) be the second derivative of y**3/3 + 6*y**2 - 20*y. Calculate the least common multiple of 8 and o(-4).
8
Suppose -4*f + 2 = -6. Let b be (-32)/(-4) + 3 + -1. Suppose 13*j - 33 = b*j. Calculate the least common multiple of f and j.
22
Suppose 2*a - 248 = -3*p, -4*a + 453 - 37 = 5*p. Let c = 43381/66 - 1975/3. What is the common denominator of c and 42*((-6)/20)/(p/25)?
176
Suppose 0 = -14*b + 944 - 174. What is the smallest common multiple of b and 35?
385
Let m(q) = 6*q + 12. Let k be m(-7). Calculate the lowest common multiple of -14*(k/(-21) - 2) and 13.
104
Let i be 126/(-4)*(-26)/39. Suppose -2*b + i = b. What is the lowest common multiple of 18 and 12/4 + -2 + b?
72
Let w = -137/28 + 15/7. Suppose -3*p = 2*b - 2*p + 61, 59 = -3*b + 5*p. What is the common denominator of 5/b*-6*3 and w?
28
Let u be ((-8)/10)/(18/(-45)). Suppose 56 = 2*g + u*g. What is the least common multiple of 20 and g?
140
Let j = -1105045689/200 + 5525217. Let y = 5961/9575 + 22/383. Let v = j - y. Calculate the common denominator of -76/9 and v.
72
Suppose -31*v - 5*q = -36*v + 40, 14 = 2*v - 4*q. Suppose -3*o + 11 = 5*u - o, -3*u - 3*o = -3. What is the lowest common multiple of v and u?
9
Let q be (-2)/(-11) - (-3 - (-191955)/(-33)). Let p = 128125/22 - q. Find the common denominator of p and 0 + (-183)/60 + 0.
220
Suppose l - 2*l - 5*k + 41 = 0, -5*k + 97 = 2*l. Calculate the lowest common multiple of 42 and l.
168
Suppose -5*s - 4*s + 117 = 0. Find the common denominator of (48/(-160))/((-3)/s) and 52/9.
90
Let k = 9281/1130 - 41/5. Let d = 1817/678 - k. What is the common denominator of -56/5 and d?
15
What is the common denominator of -77/50 and ((55/250)/(-11))/(36/6390)?
100
Let g(h) = h**2 - 20*h + 36. Let z be g(18). Suppose z = -k - 4*r + 6 + 18, -2*k - 7 = -3*r. What is the least common multiple of 20 and k?
20
Let i = 739/76 + -75/38. What is the common denominator of 59/3 and i?
12
Let y(o) = -o**3 + 7*o**2 - 5*o - 2. Let i be y(6). Suppose -3*n + i*n = 10. What is the lowest common multiple of 2 and n?
10
Let l(w) = w**2 + w + 6. Suppose -5*h - 473 = -513. Suppose 120 = h*b + 4*b. What is the lowest common multiple of l(0) and b?
30
Suppose 11451 = -i + 2052. Let w = -19417/2 - i. Let f = w + 354. Find the common denominator of 25/2 and f.
2
Calculate the common denominator of -17/6 and (-20)/(-90)*(-65)/54.
486
Let f = -108 + 148. Suppose j - 5*q = 5 - 0, 0 = -2*j - 5*q + 55. Calculate the least common multiple of j and f.
40
Calculate the least common multiple of ((-10)/(-7))/(47/329) and 40.
40
What is the least common multiple of -2 - ((10/5)/2 - 10) and 43?
301
Suppose -9*l = 127 - 1423. Calculate the smallest common multiple of l and 22.
1584
Find the common denominator of 87/28 and 18/27*-2 - 410/84.
28
Suppose -m + 3*f = -6*m, -f - 8 = -m. Let y = 0 + m. Find the common denominator of 29/16 and -3 + 225/42 + y.
112
Let p be (25/20 + -2)/((-1)/364). Let v = 461 + -989/2. What is the common denominator of v and p/120 + (-6)/(-16)?
20
Calculate the common denominator of (-1267)/315 - 16/(-72) and (-14)/(-10) - (0 - 0).
5
Let d be 7 - -5 - 5/1. Suppose 4*f + d = 11. Calculate the lowest common multiple of f and 11.
11
What is the common denominator of (-331)/90 - (-1300)/390 and 29/210?
630
Let c = 33 - 29. Suppose -33 = -7*u + c*u. Calculate the lowest common multiple of 2 and u.
22
Suppose -2*m + 6*m + 3*t = 41, -9 = -3*t. What is the smallest common multiple of 9 and m?
72
Let w be -1669*(0 - 1/(-76)). Let v = -49/38 + w. Calculate the common denominator of v and 13/8.
8
Let t be (-2)/(-1)*(-69)/(-6). Let x = t - 15. What is the lowest common multiple of x/6 + (-6)/(-9) and 3?
6
Suppose 3*x - 135 = -6*x. Let i(g) = 3*g - 37. What is the least common multiple of 8 and i(x)?
8
Let w(d) = 29*d - 249. What is the smallest common multiple of 84 and w(12)?
2772
What is the least common multiple of (-14 + 42/7)*1796/(-16) and 22?
9878
Let o(g) = g**3 - 13*g**2 - 10*g - 40. Calculate the smallest common multiple of o(14) and 52.
208
Suppose -s - 4*k + 12 = k, -2*s + 24 = -3*k. Let d(u) = 6*u + 38. What is the lowest common multiple of s and d(-6)?
12
What is the smallest common multiple of 18 and ((-65880)/(-1708))/(4/14)?
270
Let j(c) = 2*c**2 + 4*c + 4. Let t be ((-1)/(-3) + 1)*-3. Let b(y) = -y**3 - 4*y**2 + 4*y - 3. Calculate the lowest common multiple of j(t) and b(-5).
20
Let c(j) = -110 - j + 43 + 50. Calculate the smallest common multiple of 2/(-8) - 82/(-8) and c(-25).
40
Let j(h) = 3*h + 2. Suppose 196*d - 76 = 177*d. Calculate the lowest common multiple of d and j(3).
44
Let v be (4/(-6))/(1/954). Let s = 49339/10 - 4929. Find the common denominator of s and (v/(-126))/((-8)/6).
70
Let q = 154/109 + -14255/1526. Let z(y) = -2*y**2 + 15*y + 8. Let x be z(8). Find the common denominator of -2*(-265)/(-110) - x and q.
154
Let k be 5 - 1 - 287/(-7). Let f = k + -25. What is the least common multiple of 40 and f?
40
Let s = 219 + -214. Calculate the least common multiple of s and 8.
40
Calculate the common denominator of -29/26 and 1/(10/4)*(-444)/(-48).
130
Let k = 6469 + -51671/8. What is the common denominator of k and -101/170?
680
Calculate the common denominator of 1804/40 + -3 + 34/10 and 77/34.
34
Let d = 40 - 22. Calculate the least common multiple of d and 8/(-24) + 50/6.
72
Find the common denominator of 53/21 and ((-2064)/1053 + 2)/((-48)/180).
1638
Let u = 3 - 12. What is the common denominator of 55/9 and u/15 + (-222)/(-120)?
36
Find the common denominator of (-131 - -125) + 2/(-8)*52/10 and (-151*(-1)/6)/8.
240
Let f = 410 - 1077. Let g = -12017/18 - f. Let x = 495945/22 + -22547. Find the common denominator of x and g.
198
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