.
30
Suppose -5*f - 4960 = 3*b, -3309 = -0*b + 2*b + f. Let n = 3233/2 + b. Calculate the common denominator of n and -33/10.
10
Let r = 60325019/730 + -82637. Let n = 10657/5840 - r. Calculate the common denominator of 51/8 and n.
16
Let y = -1255097333519917603099/538005 + 2332872990993142. Let d = 2/179335 - y. Let b = d - 21769/18. Find the common denominator of -25/2 and b.
18
Let d(l) = 5*l**2 + 3 + 4*l**2 - 1 + 6*l + l**3. Suppose -4*t - 3*g + 14 = 0, 2*t - g + 1 - 3 = 0. Calculate the least common multiple of d(-8) and t.
18
Suppose -2*u + 3*m = 13, 6*m - 2*m - 22 = -2*u. Calculate the smallest common multiple of 11 and u.
11
Suppose 2*c = c + 2. Suppose c*v - 32 = v. Suppose -4*p - 2*b - 3*b + 92 = 0, 2*p - b - v = 0. What is the smallest common multiple of 10 and p?
90
Let a be -1 + (2*-23)/(-2). Suppose -8*p + 10 + 22 = 0. Suppose d = u - 7, 3*u - 4*d - p - a = 0. What is the smallest common multiple of u and 2?
2
Suppose -2*o + 2 = 4. Let w be 4/((-103632)/(-539774)) + o. Let j = w - 2/2159. Find the common denominator of j and -67/6.
6
Let g = 6 - 4. Calculate the common denominator of 6616/(-560) - g/7 and 87/4.
20
Suppose -4*j - v + 5 = 0, 2*j - v = -3*j + 13. Calculate the lowest common multiple of j and 8.
8
Suppose -l + 11 = -11. Let b = -343/456 + -7/57. What is the common denominator of b and 4/l + (-541)/132?
24
Let a(z) = -14941*z**3 - z. Let g be a(-1). Let t = g + -1440. Let q = t + -189135/14. What is the common denominator of -67/6 and q?
42
Suppose 20*v - 7*v = 364. What is the lowest common multiple of v and 20?
140
Let m = 37 - 27. What is the common denominator of (m/24)/((-8)/(-204)) and -49/12?
24
Let g = -10893/10 - -1093. What is the common denominator of g and -1/3?
30
Let r = 45 + -41. Suppose -2*t = 4*u - 46, 0 = -u + 2*t + 2*t - 11. Calculate the least common multiple of u and r.
36
Suppose -x + 0 + 2 = 0. Suppose -3*n = -297 - 168. What is the lowest common multiple of n/15 - 4/(-6) and x?
22
Let k = -7 + 1. Calculate the least common multiple of 7 and -3*8/k - -2.
42
Let t = -3 + 17. What is the smallest common multiple of t and 16?
112
Suppose -5*n = -4*n - 22. What is the least common multiple of n and 1 + (13 - 11)*(-2)/(-4)?
22
Suppose -20 = -4*i, -1 = -u + 5*i - 28. Let s be 1 - (3/3)/(-1). Calculate the lowest common multiple of 4 and (-3)/u*8 + s.
28
What is the common denominator of 20/11 and 10/(-45) - 11/18?
66
What is the common denominator of 15*2/80*(-92)/(-6) and (-10)/(-2 - (-38)/7)?
12
Let q = -179222 - -4297595/24. Let u = -1051/8 - q. Find the common denominator of (885/6)/5 - 2 and u.
6
Let j = 10 - 17. Let p(n) = -n**3 - 7*n**2 + 3*n + 8. What is the common denominator of p(j) and (1*28/6)/(-4)?
6
Suppose 0 = -r + 5, 18 = l + l + 2*r. Find the common denominator of -119/10 and 10/l*94/(-20).
20
Suppose -3*b - b - 20 = -5*k, -b - 16 = -4*k. Suppose -5*g = -k*g - 12. What is the lowest common multiple of (-44)/(6/((-9)/3)) and g?
132
Let i(w) = -w**2 - 3*w + 5. Let b be i(-5). Let a = b - -3. What is the lowest common multiple of ((-16)/(-6))/(a/(-6)) and 6?
24
Suppose 0 = -q - 3 + 6. Suppose q*z - 4 = 5*r, -4*r + 65 = 4*z + 17. What is the least common multiple of 2 and z?
8
Suppose 9*i - 27 = 6*i. Calculate the lowest common multiple of i and (-2)/8 + 45/20.
18
Let i = 5851547/8 + -729406. Suppose d + d + 8142 = 4*x, 2*x - 4051 = -3*d. Let h = x - i. Find the common denominator of h and 93/8.
8
What is the lowest common multiple of 1*(-4 - (-20)/4) and 18?
18
Let w(a) = a - 1. Let u be w(2). Suppose -55 = -4*o + 5*i, 5 = -2*i - u. Calculate the smallest common multiple of 16 and o.
80
Suppose 2*i = c + 45, 0*i = 2*i - 5*c - 33. What is the lowest common multiple of i and 6?
24
Let q = -10 - -10. Let h(m) = m**2 - m + 18. What is the least common multiple of h(q) and 22?
198
Let h = 7 + -5. What is the common denominator of 13/14 and 164/(-240) + h/6?
140
Let d = -24 - -29. Suppose -3*w = 0, -d*t + 0*w + 110 = -5*w. Calculate the smallest common multiple of (9/5 + -1)*10 and t.
88
Let g be (4/8)/((-2)/4). Find the common denominator of -2 + 0 + g/14 and 430/(-32)*2/(-10).
112
Let p be (4/(-8))/((-2)/32). Suppose 0 = -q + 2 + p. Let x(n) = -n**2 + 6*n + 7. Calculate the least common multiple of q and x(5).
60
Let r be (-3)/4 - 110/(-8). Suppose r + 32 = 5*f. What is the smallest common multiple of f and 11?
99
Suppose 4*x + 0 + 16 = 2*m, 3*m + 3 = -3*x. Let q = 4 + x. Calculate the smallest common multiple of 8 and q.
8
Suppose 0 = 4*m - 5*x - 37, m = x + 12 - 4. Let j be 26/10 + (-2)/(-5). Let q = j + 1. Calculate the least common multiple of q and m.
12
Suppose -3 + 1 = -k. Suppose -6*s = -k*s. Suppose s*z = z - 10. Calculate the lowest common multiple of 8 and z.
40
Suppose 2*u - 2 = 0, 0 = 2*r + 3*u + 6157 - 50120. Let v = r - 527641/24. Find the common denominator of v and (-8)/28 + 799/126.
72
Let v(o) = -31*o**3 + o**2 - 5*o - 3. Let p be 264/56 + 2/7. Let g be v(p). Let f = g - -23149/6. Calculate the common denominator of 17/6 and f.
6
Suppose 4*o - 76 = -5*q + 29, -4*q = 3*o - 79. Suppose 6*g = 5*f + 2*g, 5*f + g = o. What is the least common multiple of f and 4?
4
What is the common denominator of 5/8 and (-6)/8 + 1730/(-600)?
120
Suppose -9 = -3*h - 0. What is the smallest common multiple of h and (-64)/(-36) + (-152)/(-36) + -4?
6
Let g(f) = -f - 9. Let s be g(-7). Let k(a) = 3*a**2 - 1. What is the lowest common multiple of 1 and k(s)?
11
Suppose 5*q = -5*c + 480, -2*q = -q + 3. Suppose 3*l = 12, j + 12 = 3*l + 4. What is the common denominator of j/(-22) + 524/c and 9?
9
Let k(m) = -7*m + 3. Let u be k(-3). What is the common denominator of 49/4 and ((-5)/(-2))/(u/42)?
8
Let z = -6837 + 20261/3. Let h = z + 901/12. Find the common denominator of h and (-3)/2 - (-100)/35.
28
Let l = -19354 + 232109/12. Calculate the common denominator of 127/6 and l.
12
Suppose 9*f - 7*f = 14. What is the smallest common multiple of 5 and f?
35
Suppose -6*x + 5*x - 39 = 0. Calculate the common denominator of 652/(-84) - 1/(-3) and x.
7
Suppose -2*p - g + 7 = -6*p, -g = 3*p + 7. Let o = -23/179 + 15895/2506. What is the common denominator of p*1 + (-29)/(-8) and o?
56
What is the common denominator of (556/(-24) - -4) + -3 and -11/10?
30
Suppose 0 = 8*p - 3*p - 40. What is the least common multiple of 11 and p?
88
Suppose 9*d - 3*d - 120 = 0. What is the least common multiple of d and 7?
140
Suppose 3*c + 5*z = -c + 11, -c = -3*z + 10. Find the common denominator of 23/4 and (c - (-2 + -1)) + 35.
4
Let w = -16 + 30. Let o be w/10 - (-6)/(-15). Calculate the smallest common multiple of -12*(o + (-5)/3) and 11.
88
Let t = 1142 - -220. Suppose z + 132 = t. Let a = -7289/6 + z. Find the common denominator of a and -23/6.
6
Let n = -2 - -8. Let k = 34 + 18. Let q = k - 30. What is the lowest common multiple of n and q?
66
Suppose -6*j = -11*j + 30. Calculate the lowest common multiple of 22 and j.
66
Suppose 2*c + 0 - 20 = 0. Calculate the least common multiple of c and 5.
10
Let v = -1559/884 - -3/221. Calculate the common denominator of v and 71/2.
4
Let w = 21 + -19. Calculate the lowest common multiple of 12/(3 - (w - 1)) and 3.
6
Let f(b) = 20*b**3 - 7*b**2 - 2*b + 6. Let u be f(5). Let m = 41855/18 - u. Find the common denominator of m and -1 + ((-75)/(-48) - (-2 + 0)).
144
Suppose -3*w = -4*w + 23. Suppose 5*u + w + 27 = 0. Calculate the lowest common multiple of (-8)/20 - 144/u and 14.
14
Suppose 4*b - 28 = -0*b. Calculate the lowest common multiple of b and (-4)/(-24) - (-35)/6.
42
Let j = -38516 + 13596134/353. Let s = j - 18485/5648. Calculate the common denominator of s and 29/9.
144
Let h be (0 - 0) + 6 + 1. Let p be 21/(-7)*(4/6 + -1). Suppose t = h - p. Calculate the least common multiple of t and 16.
48
Suppose -2*s = -2*d - 10, 5*d = -2*s + 17 + 14. Calculate the least common multiple of s and 5.
40
Find the common denominator of 2/(-6) + (-343)/210 and -51/20.
60
Let s = 8 + 1. What is the lowest common multiple of (-1 - (-33)/s)*3 and 17?
136
Suppose 3 = -r + 7. Suppose 5*w - 4*g + 3*g - 104 = 0, r*g = 4*w - 96. What is the common denominator of w and -1/10?
10
Let h(a) = -a**2 + a + 11. Let k be h(0). Let y = 22 - k. Suppose -3*m = 5*u - 22, 7 = 4*m + u - y. Calculate th