 Let y = -15 - x. What is the least common multiple of 1 and y?
11
Let q(v) = 7 - 3*v**2 + v**3 - 11 - 5*v - 3. Let d = -29 - -41. Calculate the least common multiple of d and q(5).
36
What is the least common multiple of ((-33)/1)/(-3*(-20)/(-60)) and 468?
5148
Calculate the common denominator of (5 - (-22)/(-4))/(906/534) and 23/4.
604
Let z be -3 + 113*(-3 + 4). Let j = -11/15 - -223/30. Find the common denominator of j and ((-5)/z)/(1/(-61)).
110
Suppose -3*s + 5*v - 3*v = -7, 0 = -2*s - v. What is the lowest common multiple of s and 14?
14
Suppose 5*a = -20, -2*a - 803 = 4*c - 5667. What is the lowest common multiple of 7 and c?
1218
Suppose 22 = 3*k + 55. Let u(p) = -p - 7. What is the lowest common multiple of u(k) and 16?
16
Let a(i) = i**2 - 1. Let z(o) = -4*o**2 - 8*o. Let n(f) = 3*a(f) + z(f). Let c be n(-8). Calculate the common denominator of 23 and 366/36 - 2/c.
6
Let x = 930 + -18603/20. Find the common denominator of (207/336)/((-2)/8) and x.
140
What is the common denominator of -29/10 and (-1767)/155*10/14?
70
Let s(f) = 2*f**2 - 4*f + 2. Let t = 11 - -1. Calculate the lowest common multiple of s(3) and t.
24
Let f(x) = -11 - 7*x - x**2 + 8 + 8. Let o be f(-7). Suppose -3*r = -0*r + 2*z - 17, 5*z = -o*r + 30. Calculate the least common multiple of 5 and r.
5
Let s(g) be the first derivative of -g**4/4 - 2*g**3/3 - 5*g**2/2 - 4*g + 1. Let y(i) = -2*i**2 - 18*i. What is the lowest common multiple of s(-3) and y(-8)?
80
Let w be -19 + -3 + (0 - -3) - 4. Let t = -16 - w. Calculate the smallest common multiple of 5 and t.
35
Let i be (-6)/6*(4 + 0). Let r be (-31)/(-3) + i/(-6). Suppose 5*x + r - 61 = 0. Calculate the least common multiple of 8 and x.
40
Suppose -8*k + 14*k - 12 = 0. Calculate the lowest common multiple of k and 96.
96
Let f be 687/4550 + ((-228)/(-39) - 6). Let r = f - 6031/2275. What is the common denominator of r and 1/4*(-222)/21?
182
Let p be (2 - 6)/1*-1. Suppose 5*u = -p - 21. What is the lowest common multiple of (u + -1)/(-3)*3 and 2?
6
Let p = -439/8 + 55. What is the common denominator of ((-1)/7)/(4/(-44)) and p?
56
Let x = 2081 - 4251/2. Calculate the common denominator of x and -17/33.
66
Let c(n) = -n**2 - 29*n + 24. Calculate the smallest common multiple of 12 and c(-29).
24
Let w = -1181/9 - -137. Calculate the common denominator of -53/18 and w.
18
Let v = -25/8 - -29/40. What is the common denominator of -50/7 and v?
35
Let k(z) = -z**2 - z - 2. Let l be k(0). Let o be l*(3 + 38/4). Find the common denominator of -89/2 and (7/2)/((-15)/o).
6
Let g = 95803/4290 + -1462/65. What is the common denominator of g and 133/60?
660
Suppose n - 7*n + 24 = 0. Suppose 30 = z + 4*y - y, -n*y = -4*z + 56. Calculate the smallest common multiple of 12 and z.
36
Let u be -4*(2 - (-5)/(-5)). Let d(v) = 2*v**3 + 6*v**2 - 7*v + 5. What is the least common multiple of 12 + 2/(-2) + 0 and d(u)?
11
Let f = -7/409 - -30172/18405. Find the common denominator of -127/54 and f.
270
Let u = 115 + -81. Calculate the least common multiple of 12 and u.
204
Let o = -372 - -582. Calculate the smallest common multiple of 4 and o.
420
Let z = 2 + 1. What is the common denominator of 1/1 + (-73)/z and ((-4)/10)/((-28)/(-126))?
15
Suppose -37*v = -43*v + 66. Suppose 2*r - 12 = 4*f, -2*f = 4*r - r - 26. What is the smallest common multiple of v and r?
88
Suppose 3*b = 38 - 8. Let n(z) = -2*z**3 - 7*z**2 - 10*z - 4. Calculate the least common multiple of b and n(-2).
20
Let n = -849973295/987 + 861172. Let j = n + 8/141. Let m = -1108/3 - -384. Calculate the common denominator of m and j.
21
Let n = 33041/7305 - -5/487. What is the common denominator of 1/((-504)/(-12579)) + (-6)/(-16) and n?
15
Let n = -88 + 86. Let r(f) = -f**3 - 8*f**2 - 7*f + 4. What is the least common multiple of 2*(3 + n - -1)*1 and r(-7)?
4
Suppose -1 = q, -2*q - 17 = -2*b + 3*q. Suppose -4 - 122 = -b*g. What is the common denominator of g and -73*1*(-2)/6?
3
What is the smallest common multiple of 74 and (1696/(-636))/((-4)/30 - 0)?
740
Suppose -3*b = 15, 3*v - 4*b = -2*v + 110. Suppose 4*x = 3*s - v, -4 + 19 = -5*x. Suppose -14 = -2*d + 26. Calculate the smallest common multiple of d and s.
20
Let r = 111 - 66. Calculate the least common multiple of 15 and r.
45
Let h = 1217 - 2389/2. Let c = -1343 + 2757/2. Find the common denominator of h and c.
2
Let h = 324 + -189. What is the lowest common multiple of h and 27?
135
Let l be -2 + 8 + -4 + 2. Let s be 7 + -3 - l - -2. Let g = 9 - s. Calculate the smallest common multiple of g and 8.
56
Let p be 18 + 5 - 2/(-2). Suppose 3 = -2*f + 13. Suppose -p = -s - s + f*u, -2*s + 24 = -2*u. What is the least common multiple of 12 and s?
12
Let v = 486/139 + -38459/12232. What is the common denominator of v and 67/99?
792
Calculate the least common multiple of 14 and 105/10 + (-4)/8.
70
Suppose 3*y - y - 26 = 4*f, 0 = 3*y + f - 32. Let h(b) = b**3 - 6*b**2 - 8*b + 10. What is the lowest common multiple of h(7) and y?
33
Let y(r) = r**3 + 11*r**2 - 12*r - 2. Let l be y(-12). Find the common denominator of l/(-3) + 1253/168 and 173/42.
168
Let x = 7003/180 + -153/4. Find the common denominator of -67/90 and x.
90
Suppose -v + 2*m = v - 14, 0 = -5*v + 2*m + 29. What is the common denominator of 915/48*(-2)/v and -43/10?
40
Let j = 5468333113491/200 + -27341600667. Let q = j + -64902. Let m = 2/25 - q. Calculate the common denominator of 67/16 and m.
16
Let m = 1195003/30 + -39829. Find the common denominator of -2 + (0 - (-287)/60) and m.
60
Suppose -d = -4*y + 115, -4*y - d = d - 106. What is the common denominator of 170/y - (0 - -1) and (1*(-201)/(-4))/3?
28
Suppose 0 = 3*u + 4*q + 7 - 1, -3*q - 17 = -4*u. Find the common denominator of 41/6 and ((-17)/(-34))/(-1 + (-7)/u).
18
Let a be ((-9)/12)/((-2)/8). Suppose -q = w - 2, 3*w - a*q + 2*q = 14. Calculate the least common multiple of 3 and w.
12
Let z = 196 - 108. What is the common denominator of 2/(-16)*(-1888)/z and -99/8?
88
Suppose -2*i + 56 = -0*i + 4*c, -68 = -4*i + 3*c. Let n = i + -10. Suppose -3*j + 2*u - 5*u = 0, 12 = 2*j - u. Calculate the lowest common multiple of j and n.
20
Let g(v) = -v**3 + 14*v**2 - 11*v - 30. Let j be g(13). What is the common denominator of 39/11 and ((-303)/36)/(2/j)?
66
Let u = -123515/48 + 2573. What is the common denominator of u and (-2)/(8/58) - (-15 + 12)?
48
Let s be ((-10)/(-2))/((-2)/(-14)). Let j = s + -17. Calculate the least common multiple of 2 and j.
18
Suppose -c - w = -26, 5*c - 5*w - 95 = c. Suppose 0 = m + 4*m - c. Suppose -83 + 17 = -6*f. What is the lowest common multiple of m and f?
55
Let y be (-6)/(-9) - (-3575)/(-10). Let q = -1403/4 - y. Find the common denominator of q and 73/12.
12
Let c(t) = -6*t - 16. Let y be c(-4). Calculate the smallest common multiple of (-14)/42 + y/6 and 3.
3
Let i(a) = -a**3 + 5*a**2 + 8*a - 9. Let w be i(6). Suppose v - w*g = 21, 0*g = 4*g - 4. Let u = v - 14. What is the smallest common multiple of u and 7?
70
Suppose 0 = 3*r - 5*r + 4. Let h be r/6 - (-89)/3. Let k = h + -14. What is the least common multiple of k and 6?
48
Let j = 8825/8 + -1097. What is the common denominator of j and 55/8 - (10/(-5) + 6)?
8
Let m = -2519 + 2555. What is the lowest common multiple of m and 8?
72
Let w = 102 + -86. Let u(h) = h**2 - h + 2. What is the least common multiple of w and u(0)?
16
Let f be 7/7 + 11*1. Suppose -4*h - 10 = 3*o - 1, -4*o - f = 5*h. Calculate the least common multiple of 22 and (10/(-25))/(o/30).
44
Suppose u - 29 + 3 = 0. Calculate the smallest common multiple of (0 - 1)/((-1)/2) and u + -3 - (-6)/(-2).
20
Let b(v) = 2*v - 4. Let s = 11 - 6. Let i = 55 - 45. Calculate the smallest common multiple of i and b(s).
30
Suppose -2*c + 18 = 3*r, 2*c = -r + 4*r - 30. Suppose 2*w - 24 - r = 0. Calculate the lowest common multiple of 6 and w.
48
Calculate the common denominator of -23/16 and (-35)/28*5/50*89.
16
Let y = -29 + 35. Suppose -k = -24 + y. Calculate the least common multiple of 12 and k.
36
What is the common denominator of -47/36 and (-6)/(-10) + (-24574)/(-7260) - 2?
396
Let i = -30077/3934 + 5/1967. What is the common denominator of -11/8 and i?
56
Let s = -505789/72 - -7025. What is the common denominator of -17/64 and s?
576
Calculate the common denominat