s the common denominator of w and ((-861)/60)/7*2?
80
Suppose -3*q = 4*m - 6*q - 353, -3*q = -m + 77. Let x = m + -86. What is the lowest common multiple of x and 2?
6
Let g(c) = 3*c**2 - 2*c + 1. Suppose -5*u + 0*u - 28 = -4*d, -5*d - 2*u + 2 = 0. Let n be g(d). What is the smallest common multiple of 7 and 488/72 - (-2)/n?
7
Let m be (-4539)/8 + (0 - 3). Let r = m - -2237/4. Let h = 5706 + -125573/22. What is the common denominator of h and r?
88
Let c = -5 - -8. Let f be (-2860)/(-972) + -6 + c. Let w = f + -23515/972. Find the common denominator of -79/12 and w.
12
Let x = -9 + 12. Let l(j) = j**3 - j**2 - 5*j + 2. Let p = 5 + 3. Calculate the least common multiple of l(x) and p.
40
Suppose -j = -5*g + 13, -28*g = -26*g - 5*j + 4. Let i = 0 + 2. Calculate the lowest common multiple of i and g.
6
Suppose -75*g - 4 = -71*g. Let u be -2 - -5 - (-1 + 0). Calculate the least common multiple of 3 and 4 + (u - g) - 4.
15
Suppose -4*c + 2*o = -22, -19*c - o + 7 = -15*c. Calculate the lowest common multiple of c and 3.
3
Suppose -21 = -4*o + 3*o. Let u = 41/81 + -5/81. Let k = u + 424/99. What is the common denominator of o and k?
11
Let r = -13 + 12. Let a be (0/2)/(1/r). Suppose 0 = -4*i + 16 - a. What is the lowest common multiple of 18 and i?
36
Let h(w) = -w**3 + 8*w**2 - 2*w - 8. Let q be h(7). Let l(i) = -i + 8. Calculate the smallest common multiple of (q - (0 - -2)) + -3 and l(-6).
154
Let w = 17914 - 1648135/92. What is the common denominator of w and -61/40?
920
Suppose 5*b + 2*h = -h - 106, 0 = -2*h - 4. Let y = 26 + b. Calculate the smallest common multiple of y and 7.
42
Let v = -720031/66 - -32735/3. Find the common denominator of v and -18/121.
726
Calculate the common denominator of ((-903)/(-18))/7 + (-120)/90 and 131/6.
6
What is the common denominator of 23/(-46) - 586/(-528) and 115/192?
2112
Suppose 0 = -2*w + 5966 - 1736. Suppose 0*g = -4*g + 20, 5*j - g + w = 0. Calculate the common denominator of 61/12 and j/140 - (-2)/(-7).
60
Let z(v) = -v**2 + 7*v - 4. Let r be z(6). Suppose -y - y = -r. Find the common denominator of 64/3 and (1/(-28)*-4)/y.
21
Let m = 212087/107184 - -1/2233. What is the common denominator of 41/304 and m?
912
Let g(y) = 3*y. Let l be g(6). Suppose l = 4*i - 2. What is the lowest common multiple of i and 4?
20
Let s = 31972 - 959329/30. Find the common denominator of s and 41/4.
60
Let d = 3328 + -6330. Let f = 12097/4 + d. Find the common denominator of f and 37/2.
4
Let u = 31 - 31. Let j be 2 - (1 + (u - 0)). Suppose -4*w + j = -39. What is the smallest common multiple of w and 3?
30
Suppose 0 = -5*h - 3*p, 5 = -29*h + 34*h + 2*p. What is the least common multiple of 69 and h?
69
Let x = 5375 + -53707/10. Calculate the common denominator of -113/36 and x.
180
Let w = -238/159 + 6052/5247. Find the common denominator of -19/6 and w.
198
Let i be (3/(-24))/((-8)/(-158968)). Let a = 2480 + i. What is the common denominator of -105/44 and a?
88
Let y be 11 + ((-6)/(-3) - 3). Let l be y/(-2) + (1 - 1). Calculate the common denominator of (-615)/(-50) + 2/l and 55/2.
10
Suppose -4*m + 5 + 7 = 2*k, 3*m + 4*k - 14 = 0. Suppose -5*j = 3*n - 64, -21 = -m*j - n + 5. Calculate the least common multiple of 10 and j.
70
Let x(n) be the first derivative of n**3/3 - 4*n**2 - 7*n - 17. Let r(q) = -q**3 - q**2 + 2. Calculate the smallest common multiple of r(-2) and x(9).
6
Let w = 50 + 266. Calculate the lowest common multiple of 18 and w.
2844
Suppose -19 = -b + 3*m, -2*m + 24 = -8*b + 11*b. What is the least common multiple of b and 25?
50
Let k = -28078071/10 + 2810385. Let m = -2575 + k. Let i = -258 + 2055/8. What is the common denominator of m and i?
40
Let k be -1 + (-4 - 30/(-5)). What is the smallest common multiple of k/4*2*6 and 2?
6
Let h be ((-2)/(-4)*-1)/((-1)/12). Calculate the common denominator of 74/3 and (((-608)/h)/8)/(-4).
6
Suppose -b + 4*b = -3*n - 3, 4*n + 3*b = -1. Let a be 12/(51/(-15) + 3). Let w = a - -50. Calculate the least common multiple of w and n.
20
Let p = -53175/8 - -6659. Calculate the common denominator of p and 1454/(-60) - ((-693)/(-105) - (-3 - -9)).
24
Let v = -133349/12552 - 2/1569. What is the common denominator of v and 55/2?
8
Let m(h) = 3*h**2 + 11*h + 21. What is the least common multiple of m(-6) and 9?
63
Suppose -29*j - 15 = -34*j. Suppose -k - 30 = -j*z, -z - 5*k + 26 = -0*z. Calculate the lowest common multiple of z and 9*(1 - 0/(-1)).
99
Suppose 3*f = 4*h - 127 - 96, 3*f + 3*h + 258 = 0. What is the lowest common multiple of 2 and (f/18)/((-6)/8)?
6
Suppose 0 = t - 4*t + 9. Let x = -3 + t. Suppose -z + 6*z - 30 = x. What is the least common multiple of z and 1?
6
Let s(k) = -k**3 - 16*k**2 - 36*k + 41. What is the lowest common multiple of 16 and s(-13)?
16
Suppose 0*j = 2*j + 10, 4*q = -j + 27. Suppose 0 = -w + 16 + 4. Suppose -w = 2*h - 3*h. Calculate the least common multiple of h and q.
40
Let d be -10*(11 + -5)/(-42). Let j = -363/14 + d. What is the common denominator of j and 123/20?
20
Let o = -5119/2 - -2588. Suppose 2*g + k + 4 = 0, -g - g - 3*k = 0. Find the common denominator of o and g.
2
Let d(a) be the first derivative of -7*a**2/2 + 12*a - 3. What is the common denominator of -10/9 and d(7)?
9
Let y = -181 + 253. Find the common denominator of -44/3 and 4 + 105/y - (7 - 5).
24
Suppose -4*y = 2*s - 24, -5 + 1 = -4*y. Let l(q) = -q**2 + 12*q - 18. Calculate the lowest common multiple of 67 and l(s).
134
Calculate the common denominator of (-12 + 2864/240)*(-565)/104 and 1/10.
1560
Let x(u) = 25*u + 55. What is the smallest common multiple of 10 and x(1)?
80
Let x = 21/17999 - -835243/9179490. Find the common denominator of -57/85 and x.
510
Let l = 3/53 - -471/106. Suppose -3*j + 2 = -4*j. Calculate the common denominator of l and (-2 - 0) + 27/(-40)*j.
20
Suppose 3*s = 2*s + 22. Let h = 42 - s. Let r = 132 + -126. Calculate the smallest common multiple of h and r.
60
Suppose -16*l + 18*l - 5*m = 170, 134 = 2*l + 4*m. Calculate the least common multiple of 50 and l.
150
Let z(g) = 22*g - 13. Let y be z(3). Suppose y = f + 43. What is the least common multiple of f and 2?
10
Let b = -601 - -611. Suppose -5*r = -0*r - 4*y - 215, -3*r - 4*y = -129. Let v = -23 + r. What is the least common multiple of v and b?
20
Suppose -5*d = 19 - 49. Calculate the lowest common multiple of 28 and d.
84
Let d be 4*(4/1 - 5/2). Suppose d*m - 13 = 11. What is the least common multiple of 8 and m?
8
Let b = -4175/1592 + -1/398. Calculate the common denominator of b and (-43)/(-3) + (-5)/5 + 2.
24
Suppose 8*k = 11*k - 36. What is the least common multiple of k and 32?
96
Let n(o) = -o**3 - 5*o**2 - 4*o - 1. Let j be n(-4). What is the common denominator of 85/120*j + -3 and -59/4?
24
Let d be 2/10 - (-38)/10. Let t(l) = -2*l**2 - 28*l - 20. Let u be t(-13). Let m = u - d. What is the smallest common multiple of 10 and m?
10
Suppose 0*o + 3*o - 4*j = 16, 0 = 5*j - 10. Let a = o - -22. Let k = -22 + a. What is the least common multiple of k and 10?
40
Suppose 449*z - 465*z + 480 = 0. What is the lowest common multiple of 270 and z?
270
Let l = -231902383/16 + 14489232. Let a = 4663 + l. Find the common denominator of a and -23/10.
80
Let v = -3/202680204557 + -3142701082642106058/1897289394858077. Let h = 38034/23 + v. Let o = 72/37 + h. Calculate the common denominator of 119/10 and o.
110
Suppose -4*a + 4*o + o + 301 = 0, 5*o - 69 = -a. Let h = -50101/17432 - 2/2179. Calculate the common denominator of h and a/(-40)*42/7.
40
Suppose -5*j + 0*j + 695 = 0. Let d = j - 77. What is the common denominator of 3/11 and ((-2)/(-22))/(2/d)?
11
Suppose 0 = 8*h - 7*h - 47. Let m = h + -41. Calculate the smallest common multiple of 24 and m.
24
Let n be 52/(10/(-5) + 1). Let j = n + 62. Calculate the smallest common multiple of (-2 + 27)*(-4)/(-5) and j.
20
Let o(w) = 5*w + 152. Let r(s) = -2*s**3 + 4. Calculate the least common multiple of o(-28) and r(-2).
60
Suppose -2*g + 38 - 2 = 0. Let c = 60 - g. Calculate the common denominator of -19/16 and (-287)/c - 1/3.
48
Let b(m) = 0*m**2 + m**2 - 2*m - 3*m + 1 + 2*m. Let v be b(4). What is the common denominator of 3/2 and (-1)/v + (-309)/105?
14
Let o = 15 - 10. What is the least common multiple of 51/5 - o/25 and 2?
10
Let z b