
472
Let n = -5 - -9. Suppose 2*q - 30 = -n*b, -5*b + 2*q = -q - 10. Let t = 15 + b. Calculate the lowest common multiple of 6 and t.
60
Let j(u) = -11*u**2 - 2*u - 1. Let h be j(-1). Calculate the smallest common multiple of 2/(-4) + (-95)/(-10) and (-36)/h - (-6)/15.
36
What is the common denominator of 119/20 and 3/4 - (-713)/(-868)?
140
Let d(j) = -j - 3. Let g be d(-5). Suppose s = -1, -t + 2*s = -g*t - 1. Let n(u) = u**2 + 9*u - 6. What is the lowest common multiple of n(-10) and t?
4
Suppose -2*p = -4*i + 8, -4*i - 5*p + 13 = 5. What is the smallest common multiple of ((-1)/2)/((-2)/80) and i?
20
Let u be 2/(-6) + (-26)/(-6). Let o be 62/6 - ((-44)/12 - -4). Suppose o = k + u*k. What is the lowest common multiple of 9 and k?
18
Let i be (-5)/15*(-362)/44. Let v = -19/33 + i. What is the common denominator of v and 67/2?
6
Let r(j) = -j - 3. Let u(a) = -5*a. Let i be u(1). What is the smallest common multiple of ((-2)/(-4))/((-2)/(-4)) and r(i)?
2
Let p(y) = y**2 - 3*y - 4. Let j be ((-10)/2)/(-5 + 4). Calculate the smallest common multiple of p(j) and 16.
48
Suppose -z + 2 = -4*c - 11, 12 = -4*z. What is the least common multiple of c/5*50/(-4) and (-28)/35*5*-1?
20
Suppose -3*u = 4 - 10. What is the least common multiple of 11 and u/9 - (-352)/36?
110
Suppose 2*v + 4*q = -q + 39, -2*v + 4*q = -12. What is the lowest common multiple of v and 2?
12
Let d = 3319/72 + -398/9. What is the common denominator of d and -49/12?
24
Let o(t) = t - 1. Let i(x) = x**2 + 8*x + 5. Let j be i(-6). Let g = 9 + j. Calculate the least common multiple of o(g) and 8.
8
Let s(f) = 5*f**2 - 7*f + 4. Let h be s(4). Calculate the common denominator of ((-4)/6)/(h/(-987)) and 125/6.
12
Let u = 12935/7 - 1851. What is the common denominator of 2/(-4) - 25/4 and u?
28
Let q(a) = a - 7. Let p be q(6). Let m(o) = -2*o - 1. Let i be m(p). Calculate the common denominator of 97/4 and 1/i + (-58)/22.
44
Suppose 0 = o - 2. Suppose -c - o = -4. Let j(q) = 6*q**3 + q**2 - 1. Calculate the smallest common multiple of j(1) and c.
6
Let z = -1210 + 11989/10. Find the common denominator of z and 29/2.
10
Let z be (1 - 2 - 2) + 1. Let s = z + 11. Suppose 0 = 2*c + 4*k - 10, c - 5*k + 16 = 4*c. What is the least common multiple of s and c?
63
Suppose -2*u + 8 = 2*u. Suppose 0 = -x - 3, x - u = 4*y - 25. What is the least common multiple of 1 and y?
5
Let z be (-69170)/336 - 38/(-57). Let s = z + 1362/7. Find the common denominator of s and 31/2.
8
Let j = 5 + 7. Calculate the lowest common multiple of 48 and j.
48
Let s be 32/(2*2/4). Calculate the common denominator of 11*(6/s)/(-1) and 67/20.
80
Let c = -29225/6061 - -2/551. Let b = 51 - 88. Calculate the common denominator of (2 + 1)*b/18 and c.
66
Let a = 779/68 - -3/68. Find the common denominator of -33/40 and a.
40
Let n(x) = x**3 - 2*x**2 - x - 3. Suppose 0 = 3*c - 10 - 29. Let s = -8 + c. What is the least common multiple of n(3) and s?
15
Let m be (-464)/108*(-2)/(-40). Let p = 2993/270 - m. Find the common denominator of -2/5 and p.
10
Suppose 5*o = -i + 4*i + 59, -o + 3*i = -19. Suppose -k = -2*m, 4*k + 2*m - 10 + 0 = 0. What is the least common multiple of k and o?
10
Suppose -2*n + 14 - 6 = 0. Let j = 51 - 23. Suppose -n*b + j - 4 = 0. What is the least common multiple of 14 and b?
42
Let d be (-1)/(-3) - (-21)/(-9). What is the common denominator of -57/5 and (-23)/5 + d/(-4)?
10
Let k = 0 + 0. Suppose q = 2*x - 33, -3*x + q + 0*q + 51 = k. Let a = 29 - x. Calculate the least common multiple of a and 9.
99
Let x = 1245 - 5019/4. Find the common denominator of -31/8 and x.
8
What is the common denominator of (-29)/(((-12)/(-30))/(1/50)) and 37/28?
140
Let d = -86579/15 + 5777. Calculate the common denominator of d and -5/6.
30
Calculate the lowest common multiple of (-238)/(-21) + (-2)/(-3) + -1 and 8.
88
Let a(i) = -562*i + 1. Let f be a(-10). Let m = f - 45023/8. What is the common denominator of m and (-1)/1 + 38/40?
40
Find the common denominator of 37/9 and -4 - 101*1/(-2).
18
Let s be 1/(-6) - 74/(-12). Suppose -o = 2*o - s. Calculate the smallest common multiple of 11 and o.
22
Let l(x) = -x**2 - 8*x + 3. Let f be l(-8). Calculate the common denominator of (-10)/f*(-171)/(-12) and 43/14.
14
Suppose -12 = -4*x + 5*h, h + 31 = 4*x + 3. What is the lowest common multiple of 3 and x + 3*(-2)/3?
6
Let l = -3 - 2. Let v be ((-2)/l)/(1/(-5)). What is the lowest common multiple of 2 and v*(-6 - (1 + -2))?
10
Find the common denominator of (-2)/(-4) + 0 + (-791)/(-168) and -44/15.
120
Suppose 3*u - 7 - 10 = 2*b, -3*u - 4*b + 47 = 0. What is the lowest common multiple of 9 and u?
9
Let b(k) = 4*k + 5. What is the lowest common multiple of 9 and b(3)?
153
Let d(u) = -u - 2. Let i be d(0). Let w be (3/i - -2)*-2. Calculate the smallest common multiple of w/(-3) + 123/9 and 20.
140
Let z = 315388 + -3764107/12. Let h = -1700 + z. What is the common denominator of h and 97/16?
48
Suppose -2*s - u + 3*u + 22 = 0, -5*s - 4*u + 91 = 0. Let k = s - 8. What is the least common multiple of 13 and k?
91
Let o be -9*5*3/(-3). Find the common denominator of ((-36)/o)/(1/(-3)) and 43.
5
Suppose -4*t = 2*i + 1310, -2*i = -0*i + 2*t + 1304. Let v = i - -5185/8. What is the common denominator of v and 81/2?
8
Let p = 651 + -942. Let r = -437 - -5237/12. Calculate the common denominator of r and p/(-12) - 3/6.
12
Suppose -4*g + 67 = 3*f, -5*f + 33 - 92 = -4*g. Calculate the least common multiple of g and 4.
16
Let b(d) = -11*d + 2. Let g be (-4)/3*(-9)/6. Let u be b(g). What is the lowest common multiple of 8 and (u/3)/((-1)/3)?
40
Let r(x) = -x**2 - 10*x + 14. What is the lowest common multiple of 8 and r(-10)?
56
Let v = -11 - -9. What is the common denominator of -9/4 and v/4 + 90/(-32)?
16
Let q be 18*3/24*4. Suppose -w + q + 0 = 0. What is the lowest common multiple of w and 6?
18
Let n = 4855 + -48457/10. Calculate the common denominator of n and 97/16.
80
Let v(w) = -2 - 2 - 2*w + 6*w. Suppose -1 - 8 = -3*o. Calculate the lowest common multiple of v(o) and 22.
88
Let h = -67 - -104. Suppose -5*u + 15 = -2*u, h = 3*v - u. What is the smallest common multiple of v and 16?
112
Find the common denominator of -23/6 and (29/2 + 0)/((-42)/18).
42
Suppose h - 3*d - 17 = 0, 3 = d - 2*d. Suppose -r + 21 = 2*s, 2*s - 3*r + h = 3*s. What is the lowest common multiple of 3 and s?
33
Let u(x) = 11546*x**2 + 2*x - 1. Let v be u(1). Let q = 161587/14 - v. Find the common denominator of -17/16 and q.
112
Calculate the common denominator of 3/11 and 40/7 - 2/2.
77
Let i = 0 + 0. Let v = i + 0. Calculate the least common multiple of 18 and -2*(1 + v)*-4.
72
Let q = 2725531/36 + -75716. Let w = -41236/2709 - 1/2709. Let v = w - q. What is the common denominator of -151/12 and v?
12
What is the common denominator of 27/7 and (3/220)/(4/288)?
385
Calculate the common denominator of (-6)/27 - ((-598)/342 + -1) and -27/5.
95
Suppose -48 = 2*w - 6*w. What is the lowest common multiple of 6 and w?
12
Suppose -4*z - 6*t + 12 = -2*t, 0 = -5*z + t + 15. What is the least common multiple of z and 4?
12
Let s(y) = -5*y + 4. Let w(u) = 1. Let d(n) = -s(n) + 3*w(n). What is the lowest common multiple of d(3) and 12?
84
Let v = 2/1741 - 7042/67899. Let i = -526890206/273 - -1930003. Let c = i + v. What is the common denominator of c and 7/3?
21
Calculate the smallest common multiple of 14 and (264/9)/(-4 - (-28)/6).
308
Let q(x) = -x**3 - 7*x**2 - 2. Let j be q(-7). Let d(b) = -2*b. Calculate the least common multiple of 6 and d(j).
12
Suppose 0 = 19*s - 17*s - 22. Suppose -5*a + 27 = 3*c, -4*a - 2*c + 0*c = -22. What is the smallest common multiple of a and s?
66
Let c be 5/((-5143440)/5850567) + 0. Let z = c - 2/21431. Calculate the common denominator of 127/12 and z.
48
Suppose 8*y - 99 = -11. Calculate the smallest common multiple of y and 7.
77
Let p = -1444 + 4373/3. Let i = -1 + -1. Calculate the common denominator of (i/(-4))/(25/(-60)) and p.
15
Calculate the least common multiple of 10 + (-105)/27 - (-1)/(-9) and ((-4)/(-10))/((-1)/(-15)).
6
Let i(t) = -t**2 - 4*t - 3. Let n be i(-6). Let p = -9 - n. Calculate the common denominator of ((-106)/p)/(10/(-6)) and 99/8.
40
Let f = 2337 + -60727/26. Calculate the common denominator of f and -54/5.
13