 What is the common denominator of b and 0 + (-52)/22 + -1?
44
Suppose 2*a = -0*a - 2614. Let b = 853 + a. What is the common denominator of b/(-72) - 6/27 and 93/2?
12
Let f(y) = 15*y**2 + y. Let u(p) = -p**2 + 2*p + 7. Let q be u(4). What is the lowest common multiple of 14 and f(q)?
14
Suppose -o - 2*g = 4*o + 22, 4*g = 3*o + 8. Let k = 7470 + -119593/16. Find the common denominator of k and o/(-6)*51/32.
16
Let b(l) be the second derivative of l**5/20 - 5*l**4/12 - 5*l**3/6 + 5*l**2/2 + 2*l. What is the lowest common multiple of 2 and b(6)?
22
Let i be 878129/(-308) - (-2)/(-11). Let j = i + 2832. Calculate the common denominator of j and 37/2.
4
Let w(z) = z**2 + 10*z + 4. Let n be w(-10). Suppose -3*j - 16 = -n*j. Suppose i - j = -3*s, -2*s - 2*i + 9 = -i. What is the lowest common multiple of s and 1?
7
Suppose -3*a + 4 = -a. Find the common denominator of (-40)/6 + (4 - a) and (-321)/(-2)*1/15.
30
Let u(x) = x**3 + 16*x**2 + 1. Let n = -39 + 23. Calculate the lowest common multiple of u(n) and 40/(-6)*(-9)/6.
10
Let k be (2565/(-160))/((-2)/(-12)). Let w = k - -93. Let o = -9935/5654 - 4/257. What is the common denominator of o and w?
176
Let c = 4 - 3. Let k(v) = 4*v**2 - 3*v + 1. Let z(l) = 5*l**2 - 3*l + 1. Let g(n) = -4*k(n) + 3*z(n). What is the least common multiple of 8 and g(c)?
8
Suppose 0 = -4*t + 22 - 2. Suppose -l = -25 + t. Calculate the smallest common multiple of 14 and l.
140
Let x = -12 - -14. What is the lowest common multiple of x and 4?
4
Suppose -3*k = z, -z = 5*k + 13 - 5. Suppose -2*t + 0 + 4 = 0. What is the least common multiple of t and z?
12
Suppose -2*z + 0*z = -78. Suppose -x = -3*x - 3*s + z, -5*s = 5*x - 95. What is the least common multiple of 1 + 2 + -4 + 5 and x?
36
Let m = 7089 + -70991/10. Let n = 16/167 + 9773/835. Find the common denominator of m and n.
10
Let r(b) = b**3 - 7*b**2 - 8*b + 3. What is the least common multiple of r(8) and 4?
12
Let j(s) = -s**2 - 7*s + 8. Calculate the lowest common multiple of 2 and j(-6).
14
Let w(t) = -t**3 - 5*t**2 + 4*t - 2. Suppose 0 = -2*x + 8 - 2. Suppose x*h = 4*h + 6. What is the lowest common multiple of 16 and w(h)?
80
Let d = -26 + 36. What is the lowest common multiple of 20 and (-1)/(-5) + 218/d?
220
Let l = -14485/4 + 3641. Find the common denominator of -16/9 and l.
36
Let m be (-38111)/8 - (0 - 1). Let k = m + 4756. Let j = -6822/11 + 94859/154. What is the common denominator of k and j?
56
What is the common denominator of -77/2 and ((-11)/7)/(10/(-25))?
14
Let t be 3*2/(-3) - -2. Suppose 3*l + t*l = 9. Calculate the least common multiple of l and 9.
9
Let p be 0 + 7802/(-4) + 0. Let n = -23339/12 - p. Let t = -685/14 - -31/7. Calculate the common denominator of t and n.
12
Suppose -2*i - 36 = -2*n, i - 5*n = -i - 36. Let a = -11 - i. Suppose 2 + 2 = 2*z. Calculate the lowest common multiple of a and z.
14
Suppose 3*f - 1641 = 765. Let c = 1513/2 - f. Find the common denominator of c and 9/5.
10
Suppose 3*d + d + 8 = 3*j, 0 = -3*d + j - 1. What is the least common multiple of d and 11?
11
What is the common denominator of -1/4 and 8/10 - 313/35?
28
Let f(r) = -2*r**2 + 3*r + 4. Let v be f(3). Let u(q) = q + 3. Let b be u(v). What is the common denominator of 83/18 and -29*b/(-4) + 1?
18
Let g be (-16)/(-10) - (-14)/35. Find the common denominator of (1/g)/((-40)/395) and (268/56)/(-1 - 0).
112
Let t be 1 - (0 + -13 - -1). Let y = 35 - t. What is the least common multiple of 8 and y?
88
Suppose 2*b = -4*r + r + 18, 3*b + r = 20. Suppose 3*w + 12 = 4*w. Let g = w - 6. What is the least common multiple of g and b?
6
Let k(x) = -x**2 + 7*x - 5. Let y be k(6). Let z be (2 + -2)/(y - -1). Let n(f) = f + 4. Calculate the lowest common multiple of 16 and n(z).
16
Calculate the common denominator of -59/9 and (8/3 - 2) + 104/20.
45
Suppose -4 = -7*p + 66. What is the least common multiple of p and 4?
20
Let v = 3/319 + 1249/2871. Let p = v + -188/99. Calculate the common denominator of p and -61/10.
110
Calculate the common denominator of (-46)/8*(-60)/18 and 33/10.
30
Suppose 5*c - 10 - 15 = 0. Let x = -4 - -6. Suppose l - 12 = 2*o, x*l - 9 = -2*o - 3. What is the least common multiple of c and l?
30
Let b(m) = -m + 12. Calculate the least common multiple of b(4) and 5.
40
Let m be (36/(-10))/((-2)/10). Calculate the common denominator of (-115)/m + (6 - 8) and -123/20.
180
Calculate the common denominator of 339/84 - 16/56 and -31/12.
12
Let p = 7759217/2178 + -95864/121. Let a(m) = 347*m - 8. Let l be a(8). Let b = l - p. What is the common denominator of b and -69/10?
90
Let t = 10 + -7. Calculate the lowest common multiple of t*2/12*10 and 7.
35
Let g be 2/1 - 61467/(-432). Let x = 100235 - 900763/9. Let i = g - x. Calculate the common denominator of -37/6 and i.
48
Suppose -f + 4*f - 87 = 0. Suppose -2*k = 10, 3*n + 4*k + 10 = -2*n. Find the common denominator of 119/6 and n/(-8) - f/8.
24
Let f = 2 + 5. Suppose 3*m - 8 = 1. What is the lowest common multiple of m and f?
21
Let h be 2/8 + (-311956)/(-336). Let u = h + -2779/3. Calculate the common denominator of 77/18 and u.
126
Let u = -3811/4 - -961. Find the common denominator of 53/34 and u.
68
Suppose 5*y = 14 + 36. Let c = 0 + 4. What is the lowest common multiple of y and c?
20
Let a = -1 - -11. What is the lowest common multiple of a and 54?
270
Calculate the common denominator of -2 + 1 - 759/220 and -43/10.
20
Suppose 6 = i - 16. What is the least common multiple of 6 and i?
66
Find the common denominator of 46/49 and -3 + 150/14 - (-7 + 11).
49
Let k(h) = -2*h**2 + 0*h**2 + 1 + h**3 - 4*h + h. Calculate the least common multiple of 6 and k(3).
6
Let n = 89 + 481. Calculate the common denominator of (-25)/36 + 2/(-8) and (2/(-12))/((-14)/n).
126
Suppose -5*u + 15 + 10 = 0. Find the common denominator of ((-1)/(-4))/(u/(-142)) and -53/6.
30
Suppose 0 = t - 0 - 1. What is the lowest common multiple of 21 and t?
21
Suppose 0 = 9*s - 10*s + 11. Let z = -14 + 6. Let o(a) = -a**3 - 8*a**2 + 1. What is the smallest common multiple of o(z) and s?
11
Let t be (-63)/(-12)*(-23252)/(-54). Let f = t + -2259. Calculate the common denominator of f and 97/6.
18
Let n be (-4)/(8/6) - -1293. Let l = n - 28401/22. Calculate the common denominator of (-59)/12 - 1/2 and l.
132
What is the lowest common multiple of (2/(-6))/((-2)/12) and -7*(-3)/(-3)*-2?
14
What is the least common multiple of (1 - (-2)/1) + 2 and 14 - (2 + 0) - 2?
10
Let c = 1031/4 - 1185/4. Let m = -5539/1020 - 98/85. What is the common denominator of m and c?
12
Suppose w + 4 = -2*y - w, 0 = w + 1. Let i(c) = c**2 - c. What is the smallest common multiple of 22 and i(y)?
22
Let j = -226/13 + 6778/351. Let l be (-2249)/(-108) - (-12)/16. Let q = j + l. What is the common denominator of q and 101/10?
10
Let p be (-28)/54*-12 - 1. Let o = p - 194/9. Calculate the common denominator of (-6)/4 + (-1386)/(-140) and o.
15
Let r = -13 + 13. Suppose 3*i + r*i - 27 = 0. What is the smallest common multiple of i and 2?
18
What is the common denominator of 7/30 and 64/6*(-60)/432?
270
Suppose 3*x = 5*x - 28. Suppose 68 = 4*n + 4*m, 4*m = 2*n - 5*n + 48. Calculate the smallest common multiple of n and x.
140
Suppose -7*k + 2*k = 2*z + 48, 3*z + 7 = -k. What is the common denominator of 10/6*(-44)/k and 52/5?
15
Find the common denominator of -119/10 and (-35)/(-54)*40/14.
270
Let y be 4/(-18) + (-2374)/9. Let m = -1882/7 - y. What is the common denominator of m and 49/8?
56
What is the common denominator of -5/27 and (-6)/8 - (-2330)/(-360)?
27
Suppose b + z + 7 = 0, -4*z + z - 16 = 2*b. Let v = b + 9. Calculate the smallest common multiple of v and (4/(-10))/(1/(-10)).
4
Let q be 30/(-4)*(-42)/9. Suppose 24 = 3*d - 3*b, 0 = 7*d - 2*d - 4*b - q. Calculate the smallest common multiple of d and 1.
3
Let v(w) = -w**2 - 10*w - 3. What is the smallest common multiple of 86 and v(-9)?
258
Calculate the common denominator of 55/6 and (-336)/(-88)*2/4.
66
Suppose 0 = -4*g + 4, 2*t + 4*g - 6 - 12 = 0. Calculate the least common multiple of t and 4.
28
Suppose 3*v - 522 = -5*x + 2*v, 2*v = 4. Let n = -680/7 + x. Find the common denominator of n and (54/(-21))/(140/637).
70
Calculate the least common multiple of 22 and -2*(-14)/(-10)*-10.
308
Let j = -15/14 + 1