o - 6*o + 3*u = -359, -q*o + 2*u = -182. Suppose 0 = -5*g + o - 16. What is the lowest common multiple of g and 12?
84
Let t(l) = -9*l - 1. Let r be t(-1). Let d(c) = 3*c**2 - 7*c + 10. Let i be d(r). What is the common denominator of (4 - 3) + i/(-8) and -11/10?
20
Let p(a) = -4*a - 5. Suppose 5*b + 0*j - 30 = -5*j, 33 = 4*b - 5*j. Let o = b + 1. What is the least common multiple of p(-4) and o?
88
Let d(w) = 2*w**2 - 4*w - 4. What is the least common multiple of d(-5) and 12?
132
Suppose a + 3*i - 11 = -3*a, -19 = -5*a - 2*i. Let f(t) = -t**2 + 7*t - 2. What is the smallest common multiple of f(a) and 1?
8
Suppose -5*l - 166361 = 2*m, -5*l - 2*m = 3*m + 166355. Let y = l - -366323/11. Let c = y + -7069/198. Find the common denominator of c and -39/2.
18
Let i = 10563/682 + -335/31. Suppose -3*j - 28152 = 14232. Let l = -254171/18 - j. Calculate the common denominator of i and l.
198
What is the common denominator of 950/(-399) + (-4)/14 and (-546)/(-10)*(-3)/(-18)?
30
Let d = -49383/3406 - 2/1703. Let f(v) = v**3 + 8*v**2 + 6*v - 1. Let b be f(-5). What is the common denominator of ((-18)/(-15))/(b/155) and d?
22
Let j = 2418 - 4737/2. Calculate the common denominator of j and -95/6.
6
Calculate the smallest common multiple of (-1228)/(-18) - (-2)/(-9) and 2.
68
Let u(a) = -a + 4. Calculate the least common multiple of 11 and u(1).
33
Let k = 12 - -8. Let h = 7 + -2. Suppose b + k = h*b. What is the least common multiple of 7 and b?
35
Suppose 4*m + d = -319, -31 + 299 = -3*m + 5*d. Calculate the common denominator of 1 + 0 + m/6 and 125/6.
6
Find the common denominator of (-4)/(320/(-812)) - 4 and -99/16.
80
Let r(t) = -2*t - 21. Calculate the common denominator of 49/24 and r(0).
24
Let j be ((-410)/1000545)/(4/(-5931852798514833)). Let v = -607683724211 + j. Let a = -1/9529 + v. Find the common denominator of a and 35/6.
42
Let g be 4/(-22) + (-2298819)/330. Let i = 6958 + g. Find the common denominator of -69/20 and i.
20
Suppose -3*s - 55 = -5*h, h + 0*h + 4*s + 12 = 0. Let q = h - 2. What is the least common multiple of q and 16?
48
Let n be (-81)/(-12) - (-15)/(-20). Calculate the common denominator of -53/4 and n - 6 - (-12)/14.
28
Calculate the least common multiple of (-39)/(-9) + 4/(-12) and 10.
20
Suppose -o + 0*o - 1401 = 0. Let b = o + 11251/8. Calculate the common denominator of b and 57/16.
16
Let r(x) = -12*x - 1. Calculate the least common multiple of r(-1) and 1.
11
Let r = 58/1781 - 12851986/8905. Let y = 1437 + r. Let o = -2738/3 - -925. What is the common denominator of y and o?
15
Let c = -11228391/1384 + 8113. Let m = c + 60887/12456. Calculate the common denominator of m and 37/11.
99
Let g be (0 + -2)/((-16)/(-5794)). Let r = 719 + g. What is the common denominator of r and 24/80*25*-1?
4
Suppose 0 = -4*u - 2*t - 3568, 3*t = 2*u + t + 1796. Let j = 31114/21 + -12307/21. Let k = j + u. Calculate the common denominator of -18 and k.
7
Let m(k) = k**2 + 5*k - 10. Let n be m(-8). Suppose -2*f = -4*f + n. Calculate the least common multiple of f and 4.
28
Suppose 0 = 4*b - 8*b + 28. Suppose b = 4*v - 9. Let y(z) = -z + 9. What is the lowest common multiple of v and y(8)?
4
Suppose 28 = 2*t - 6*t. Let m(b) = b - 9. Let q be m(0). Let l = t - q. What is the least common multiple of l and 7?
14
Let s = 1116/35 + -163/5. Calculate the common denominator of s and 63/5.
35
Let q be 4/(-20)*(-13489)/2. Let m = -1356 + q. What is the common denominator of 83/22 and m?
110
Let p = -330/23 + 2557/276. What is the common denominator of p and -59/16?
48
Let a = 126 - 114. Suppose -2 + 14 = 3*z. What is the smallest common multiple of a and z?
12
Let r be (1/(-2))/((-1)/(-36)). Let x be (r/8)/((-15)/40). Suppose s + x = 2*s. Find the common denominator of -14/3 and s.
3
Let z = 55 + -37. Let i = 10 - 4. Calculate the smallest common multiple of z and i.
18
Let r be (-3)/2 - 357/2. What is the common denominator of -59/5 and 1858/r + 4/18?
10
Let n be ((-1)/3)/(4/(-48)). Calculate the smallest common multiple of 1*10 - 0/n and 16.
80
Let g(x) = -2*x - 6. Let s be g(-4). Suppose 2 + 18 = s*v. Calculate the least common multiple of v and 2.
10
Suppose 3*i - 8*i = -3*q - 63, -5*q - 71 = 3*i. Calculate the common denominator of (1084/q + 1)/3 and -1 + (30/(-4) - 0).
4
Let o = 114 - 99. What is the lowest common multiple of o and 6 + 1 + 2/(-1)?
15
Let r(u) = -1056*u**2 + 2*u - 1. Let h be r(-2). Let v = -29657/7 - h. What is the common denominator of -22/9 and v?
63
Let s(k) = 7*k**2 + 1. Calculate the least common multiple of 223 and s(1).
1784
Suppose -4*t + 2*t = -20. What is the smallest common multiple of 10 and t?
10
Let x = 81 - 75. Calculate the lowest common multiple of 2 and x.
6
Let t(z) = -7*z**3 - 2*z**2 - 2*z. Let s be t(-2). Suppose 3*u = -4*a + s + 4, u - 15 = -a. What is the least common multiple of a and 12?
132
Let y = 52263 - 107293/2. Let q = 1344 + y. Find the common denominator of q and ((-4)/(-60))/((-4)/(-770)).
6
Suppose -2*m + 38 = -46. Calculate the lowest common multiple of m and 3.
42
Let j = -23721261/20 - -1186891. Let u = 827 - j. Calculate the common denominator of u and 55/16.
80
Suppose -3*c + 4*c = 7. Let k be (-1)/(1/(-4) - 0). Suppose -5*q - 8*t + 4*t = -46, -k*t = -16. What is the smallest common multiple of c and q?
42
Let q = 9 + -7. Calculate the smallest common multiple of (-11)/(1/(-1))*q and 12.
132
Let i = 135757/935 + -726/5. Let u = i - 83/374. What is the common denominator of u and 7/6?
66
Calculate the common denominator of -31 and 2 - ((-417)/(-18) - -3).
6
Let n be 5/((-15)/9) + -3. Let w(l) = l**2 + 7*l + 8. What is the lowest common multiple of w(n) and 10?
10
Let s = 203 + -201. What is the least common multiple of s and 1 + -1*(-6 - 1)?
8
Let f = -11267/902 + 678/41. What is the common denominator of f and (400/12 + -2)*1/(-4)?
66
Let j be (20/3)/(1/(-3)). Let d be -2 - j - 1/1. Suppose m = -2*b + d, 5*b = b + 2*m + 30. Calculate the smallest common multiple of 6 and b.
24
Suppose -5*b - 3 = d, 2*d - 9 = 2*b + 9. Suppose -3*l + 17 = 4*o + o, -5*l + d = 3*o. Calculate the least common multiple of 14 and o.
28
Suppose 9 = -4*m + 41. Calculate the least common multiple of m and 7.
56
Let z be (-4 - -3) + (2 - -1). Suppose -z*v = -0*v - 8. Calculate the smallest common multiple of v and 10.
20
Suppose 5*l = -3 + 73. Let s = 36 - l. Calculate the lowest common multiple of s and 8.
88
Suppose 6*r - r - 14 = -4*c, 0 = 2*r - 4*c. Suppose -20 = -r*l + l. Let p(b) = 21*b**2 + 2*b - 1. Calculate the least common multiple of p(1) and l.
220
Let l = 963/136 + -75/34. Calculate the common denominator of l and -87/10.
40
Let k(m) = 9943094*m**2 + 4*m - 10. Let l be k(-7). Let o = l - 2362001655395/4848. Let x = o - 3/1616. Calculate the common denominator of x and -113/14.
84
Let s = 44 + -39. Calculate the smallest common multiple of s and 11.
55
Let y be (-2 - (1 + -4)) + -2. Let d(j) = -j + 1. What is the lowest common multiple of d(-6) and -2 + 3 + 2 + y?
14
What is the least common multiple of (30/(-18) + -1)/((-2)/21) and 12?
84
Let x(k) = k + 1. Let r(t) = -2*t - 4. Let c(m) = r(m) - 3*x(m). Let p be c(6). Let h = -21 - p. Calculate the smallest common multiple of h and 6.
48
Let k = -384916/488631 - 2/14807. Calculate the common denominator of k and -2/3.
33
Suppose 55 = 5*k + 9*g - 4*g, -4*k + g = -39. Calculate the common denominator of (-119)/k + (-12)/(-30) and (-29)/(-11) + (0 - -2).
22
Suppose 0*s + s = -4*w - 15, -2*w - 11 = -3*s. Calculate the smallest common multiple of 12 and 10/(-5) + 16/s.
84
Suppose -3*h = -5*o + 12788, -h - 4236 = -0*h + 5*o. Let v = -33987/8 - h. Calculate the common denominator of v and 45/4.
8
Let l = -7823 + 1619339/207. Let a = 5329/1449 + l. Let n = 583889/56280 - -2/7035. Calculate the common denominator of n and a.
56
Let a = -26 - -35. What is the lowest common multiple of a and 27?
27
Let k = 50919/140 - 2568/7. Let l = 10517/860 + -313/43. Calculate the common denominator of l and k.
20
Let j(w) = w**3 - 4*w**2 + 12*w + 7. Calculate the smallest common multiple of j(4) and 2.
110
Let w = 5 + -1. Let f(a) = -a. Let x(y) = 2*y - 1. Let k(v) = f(v) + x(v). Calculate the least common multiple of w and k(11).
20
Suppose -18 = -3*b + 3*v, 2*v = 3*b