. What is the least common multiple of 1 and s?
11
Let z = -1420 + 19867/14. Find the common denominator of ((-29)/4)/((-2)/(-4)) and z.
14
Suppose 5 = 5*s - 3*o, 5*o - o - 20 = 0. Calculate the least common multiple of s and 4 + 3 + -3 + (1 - -3).
8
Let z = 25 + -21. What is the smallest common multiple of z and 2?
4
Let g = -169 + 79. Let c = -245/3 - g. What is the common denominator of (-1731)/(-90) + 2/(-5) and c?
6
Let c(x) = 10*x**2 + 9*x + 24. Calculate the smallest common multiple of c(-4) and 16.
592
Let x = -60/293 + -12345/4102. Let c be 3 - (404284/74304 + 3). Let o = -4/1161 - c. Calculate the common denominator of x and o.
112
Suppose -2*k = -0*k + 4*l + 9442, -18872 = 4*k + 5*l. Let o = -47073/10 - k. Calculate the common denominator of o and -49/8.
40
Let u(y) = 4*y + 1. Let b be (-3)/(-18)*3*2. Let a be u(b). Suppose -w - 4*r + 32 = 3*w, -2*r + 37 = a*w. Calculate the smallest common multiple of 1 and w.
7
What is the common denominator of 193/180 + 2/(-9) and -2*(-1)/(-11)*26?
220
Suppose -4*u - 5*s + 59 = 0, -u + s = -3*u + 37. Suppose -5*c + 18 = 3*p - 2*p, -3*c + u = 4*p. What is the lowest common multiple of 11 and c?
33
Suppose 2*f = -0*f + 28. Suppose -2*a - 6 = -4*a. Suppose 0 = 5*w + 3*u - 75, 2*u - a*u + 67 = 4*w. What is the lowest common multiple of w and f?
126
Suppose 0 = -3*z - z - 28. Let x = 15 + z. Suppose -d = -1 - 6. What is the smallest common multiple of d and x?
56
Let x = -4 - -14. Calculate the lowest common multiple of x and (-1)/3*(-48)/8.
10
Let r(i) = -i**2 + 9*i - 2. Suppose 0*f - 27 = -3*f. Let b be r(f). Calculate the smallest common multiple of (b/(-6))/((-5)/(-45)) and 1.
3
What is the common denominator of -12 and 6/75*(-405)/(-12)?
10
Let d(v) = v**2 - 10*v - 7. Let q be d(11). Let h(x) = q - 4 + 5*x - x**2 + 0 - 2. Calculate the lowest common multiple of 4 and h(3).
4
Suppose 0 = -t - 3 + 4. Calculate the common denominator of ((-134)/6)/((-16)/(-12)) and (1 + 14/20)/t.
20
Let o = 9132 + -4756. Suppose g + o = -t - 1482, 5*t + 17574 = -3*g. Let x = 46931/8 + g. Calculate the common denominator of 51/7 and x.
56
Suppose -4*b + 4 = -4. Find the common denominator of 1/b*(-78)/(-16) and -71/12.
48
Let f = -15 + 9. Calculate the common denominator of -9/2 and (153/f)/(5/2).
10
Let r(z) = z**2 + 9*z - 2. Let u be r(-9). Let o be (-66)/(-2)*1 + u. Calculate the lowest common multiple of (1 + o)*2/4 and 12.
48
Let h = 4/929 + -66015/13006. Let v(d) = -d**2 - 4*d + 1. Let m be v(-4). Calculate the common denominator of (m/((-10)/(-43)))/(-2) and h.
140
Let w be ((-2)/5)/((-1)/10). Suppose -w*z + 3 = -5. What is the least common multiple of 11 and z?
22
Let y = -2633/2 - -65927/50. Let s = -2371 - -26098/11. Find the common denominator of y and s.
275
Let l(w) = -11*w + 2. Calculate the lowest common multiple of 14 and l(-6).
476
Let s = 2/7 + 17/14. What is the common denominator of 55/6 and s?
6
Let s(t) = 2*t. Let h be s(5). Calculate the common denominator of 11/1*2/(-12) and 39/(-5)*h/(-4).
6
Let s be 5 + -1 - (-6)/(-6). Suppose 5*c - 16 = -2*d + c, 4*d + s*c = 42. Calculate the lowest common multiple of 8 and d.
24
Calculate the common denominator of (-14)/357*474/(-8) and (-1)/4 + (-69)/24.
136
Suppose w - 4 = -0*w. Suppose w = 2*g - 2. Calculate the least common multiple of g and 8.
24
Let x = -905819028153521461267609/4888014 + 185314327690862701. Let s = x - 2/814669. Let l = s + -617. What is the common denominator of l and 36/7?
42
Let l(q) = -4*q. Calculate the smallest common multiple of 20 and l(-3).
60
Let h be (-4)/(-18) + (-68)/(-18). What is the common denominator of 87/10 and 1392/330 - h/(-22)?
10
Suppose 3*n + 5*k - 28 = 2, -2*n + 20 = -k. What is the lowest common multiple of n and 28?
140
Suppose 4*q - 155 = 5*d + 57, 76 = 2*q + 5*d. Calculate the lowest common multiple of (-1)/(2*(-4)/q) and 1/(-2) - 45/(-6).
42
Let g = -23 - -31. Calculate the least common multiple of g and 7.
56
Suppose 2 = -3*f + 5*f. Suppose -5*x + 3 + 7 = 0. Calculate the least common multiple of f and x.
2
Let a be ((-10)/(-8))/((-2)/(-8)). Suppose a*g = -9 + 29. Calculate the common denominator of 18/g*(-28)/(-66) and 33/7.
77
Let t = -70 + 85. Calculate the lowest common multiple of t and 20.
60
Let v(y) = -155*y**2 + y. Let j be v(-1). Let c = -68 - j. What is the lowest common multiple of c/(-12)*-1*3 and 10?
110
Let x(k) = k**3 + 8*k**2 + 6*k - 2. Let m be x(-5). Suppose 4*u = 41 + m. Calculate the common denominator of 16/5 and 98/u*(-16)/(-7).
15
Let s = 94 + -62. What is the common denominator of s and 77/4?
4
Let y be (-3)/3 + 0 + 4. Suppose 7 = -2*w - y*a, -5*w + a + 2*a + 14 = 0. What is the common denominator of ((-1)/6)/(w/(-59)) and 39/10?
30
Let n(t) = t**2 - t. Let m be n(-4). Let u = m + 30. Suppose 0 = 5*z - 4*h - u, 8*z = 3*z - h + 25. What is the lowest common multiple of z and 12?
12
Let i = 9 - 0. What is the smallest common multiple of i and 4?
36
What is the smallest common multiple of 4 and (9 + 27)*2/3?
24
Calculate the common denominator of (189/24 - 2) + 2 and -9/2.
8
Let p(i) = -4*i**2 + 2*i - 1. Let d be p(1). Find the common denominator of 2 + (-123)/72*d and -43/7.
56
Let w(y) = -y**3 - 3*y**2 + 2*y + 6. Let g be w(-4). What is the common denominator of 77/18 and -4 + 1 + (-69)/g?
126
Suppose -l - 4*r + 0*r = 14, 4*l = -5*r - 12. What is the least common multiple of 4 and l?
4
Let k be (-1)/(-5) - (-2241)/45. Suppose -4*y = y - k. Calculate the least common multiple of 7 and 49/35 - (-6)/y.
14
Let k = 6497/268 + -33/67. What is the common denominator of k and -39/2?
4
What is the common denominator of (-6*(-75)/(-6))/4 and ((-9)/12)/(27/(-262))?
36
Let m be (-1 + 0)*(4 + -24). Find the common denominator of 31/6 and 6/15 + (-58)/m.
6
Let k(u) = -2*u**2 + 2*u + 2. Let n(l) = l**2. Let j(c) = -k(c) - n(c). Let v = -18 - -32. Calculate the least common multiple of j(-2) and v.
42
Let x = -353 + 767/2. Find the common denominator of -107/22 and x.
22
Calculate the common denominator of 5/76 and ((-2)/((-48)/(-159)))/(-1).
152
Let g be 0 - -1 - (3 + -1). Let r be (16/(-12))/(g/6). Find the common denominator of (-2)/r - 340/112 and -46/3.
21
Let l = 6967/390 - 2/65. Find the common denominator of 7657/1144 - (-2)/11 and l.
24
Suppose 3*q - l + 28 = -0*l, 0 = 5*q + 5*l + 20. Let x = -8/373 - 24927/2984. Find the common denominator of x and (-134)/(-15)*3/q.
40
Let f = -26397/40 - -660. Find the common denominator of -79/12 and f.
120
Suppose 3*z + z - 16 = 0. Suppose 633 + 656 = -o - z*p, 20 = 4*p. Let h = -7949/6 - o. Find the common denominator of 41/6 and h.
6
Let w(o) = -2*o - 9. Calculate the lowest common multiple of w(-7) and -4 - (-8)/1 - 1.
15
Let v = -1/8999 + 1358861/107988. Suppose -x + 0*z = z + 1075, -z + 1 = 0. Let i = x + 4325/4. What is the common denominator of i and v?
12
Suppose -4 = -0*v - v. Suppose -d = -4*q - 30, -d + v*q - 2*q = -20. Calculate the least common multiple of d and 96/10 + 10/25.
10
Let c = -19 + 29. Calculate the lowest common multiple of c and 10.
10
Suppose -3*f + 9 = -0. Calculate the common denominator of -3/8 and ((-9)/f)/24*6.
8
Let j(l) = 5*l**2 + 7*l + 8. What is the smallest common multiple of 11 and j(-2)?
154
Let u = -5 + 9. Suppose -u = -p, -7 = -g - 3*p + 6*p. Let v = -11 + g. What is the least common multiple of 11 and v?
88
Suppose -35 = -5*u + 75. Suppose 2 = -j - 19. Let g = -11 - j. Calculate the least common multiple of u and g.
110
Let b(d) = 8*d - 2*d + 3 + 1. Let u be b(4). Find the common denominator of u/(-3)*38/32 and 23/10.
60
Suppose 4*o + c = 2 + 6, -o = 3*c - 2. Let b(y) = y**3 - 6*y**2 + 7*y - 6. Let s = -3 + 8. What is the smallest common multiple of o and b(s)?
4
Let v = 22 - -8. Calculate the smallest common multiple of v and 18.
90
Let u = 64670 - 131835/2. Let c = 1273 + u. Find the common denominator of 25/9 and c.
18
Calculate the common denominator of 1/6 + (-227)/12 and 93/14.
28
Calculate the common denominator of 2*(314/(-92) + 3) and (-6)/(-12)*(-32)/6.
69
Let w(r) = r - 1. Let b be w(1). Let f = b + 11. What is the least common multiple of 11 and f?
11
Let q be (10/3)/((-4)/(-6)). Suppose -q*f + 0*f - 3*w - 2 = 0, 3*f - 3*w - 18 = 0. What is the least common multiple of f and 8?
8
Suppose 2