30*n**5 + 0*n - 1/120*n**6 + 0 - 1/3*n**3 + 2*n**2. What is the smallest common multiple of 5 and l(3)?
5
Let s(d) = d**3 + 6*d**2 + 4*d - 5. Let i be s(-5). Suppose -3*o - 15 = i, -4*x + 2*o + 14 = -0*o. Calculate the lowest common multiple of x and 6.
6
Let r = 1418 - 12749/9. What is the common denominator of r and -62/33?
99
Suppose -3 = f - 2*f, -4*f = 3*h - 42. What is the smallest common multiple of 7 and h?
70
Let p = 2 - -10. Calculate the smallest common multiple of 16 and p.
48
Suppose -a + 59 = 3*h, -2*a + 3*h + 74 + 35 = 0. Suppose z + a = 5*z. Calculate the least common multiple of 8 and z.
56
Let w = 75281 + -526125/7. Let b = 13983/112 - w. Find the common denominator of b and -1 + (2 - (-69)/(-20)).
80
Let q = 39 - 17. Let h(f) = 21*f**2 - 1. What is the smallest common multiple of h(1) and q?
220
Find the common denominator of -47/6 and ((-7)/(-14))/((-6)/32).
6
Find the common denominator of -4 + 2*(-99)/(-16) and -27/8.
8
Let d(m) = m**2 + 8*m + 11. Let y be d(-11). Calculate the lowest common multiple of (4 + 0)/(2/2) and y/3 - 4/6.
28
Let i = 2469/160 + -177/32. Let p(d) = -4*d**2 - d - 1. What is the common denominator of p(-1) and i?
10
Let o = -45307/7 - -6498. Let y = o - 27. What is the common denominator of -9/11 and y?
77
Suppose 3*d + l - 9 = 0, 5*l = 5*d - 2*d - 9. Suppose 11 + 0 = u - 5*r, -2*r + 50 = d*u. What is the lowest common multiple of u and 8?
16
Find the common denominator of ((-456)/(-95))/((-14)/(-20)) and -8/9.
63
Let l = 48/125 + 4347/1375. Find the common denominator of 2/30*(-57)/2 and l.
110
Let v(z) = 14*z**2 - 3*z + 7. Let y be v(7). Suppose -5*f - 53 = y. Find the common denominator of f/(-45)*(-30)/(-8) and 151/6.
12
Let i(l) = l**3 + 4*l**2 - 7*l - 5. Let q be i(-5). Suppose 0*j - q*j + 40 = 0. What is the common denominator of 44 and 2/3*(-4)/j?
3
Suppose 0 = 4*b + 3*t + 55, -56 = 2*b + 3*t - 21. What is the smallest common multiple of 18 and (54 + 1)*b/(-25)?
198
Let p = 61 - 29. Calculate the least common multiple of p and 6.
96
Suppose -520 - 195 = -5*v. Let x = -206 + v. Calculate the common denominator of 17/14 and ((-345)/x)/(6/(-9)).
14
Let m = -7 - 8. Find the common denominator of 0 + -1 - (-69)/(-10) and (93/m)/(1/2).
10
What is the common denominator of 58/9 and 114/(-16) + (8 - (-6 + 11))?
72
Let c = 120 + -108. What is the lowest common multiple of c and 8?
24
Let s = -7 - -12. Suppose -5*o = 4*l - 62, -2*l + 7*l - 80 = -s*o. Calculate the smallest common multiple of 16 and l.
144
Let n = -2 - 4. Let u(b) = -2 - 8*b + 5*b - 7*b - b**2. What is the least common multiple of 18 and u(n)?
198
Suppose 2*h + h = 4*z + 15, 4*h - 3*z - 27 = 0. Suppose 4*s = s + 6. Calculate the lowest common multiple of 33/6 - 1/s and h.
45
Let z = 83 + -59. Calculate the least common multiple of 3 and z.
24
Let p = -26579/16 - -1662. Find the common denominator of p and -11/18.
144
Let b = -5562 + 89023/16. Find the common denominator of b and -103/34.
272
Suppose 0 = -7*a + 64 - 8. Calculate the least common multiple of a and 11.
88
Suppose -l - 3*o + 4761 = 0, -3*o = -l + 730 + 4055. Let h be l/(-225) + (-2)/(-6). Let x = 293/150 - h. What is the common denominator of -125/12 and x?
12
Let j = -4004/5 - -805. Let f be (-31389)/(-9) + 3/2. Let c = 3499 - f. Calculate the common denominator of j and c.
30
Calculate the lowest common multiple of 3 and (-3)/(-15) + (-356)/(-20).
18
Let x = 10 - 19. Let c = 3 + x. Let s = 9 + c. What is the least common multiple of s and 8?
24
Let m be 6/4*(2 + 0). Suppose j + m*j = 0. Suppose 0 = 5*o - j*o - 30. What is the smallest common multiple of o and 6?
6
Let z be (-13713104)/62*(-1)/6. Let h = z + -36864. Let r = 8261/930 - h. Find the common denominator of r and -46/11.
110
Let w be (-1 - -3)*(-1)/(-1). Suppose -3*z - 7 = 5*p, 2*z + 2*z = w*p + 34. Calculate the smallest common multiple of z and 1.
6
Let p = 88 - 82. Calculate the least common multiple of p and 20.
60
Let f(h) = h**2 - 6*h + 12. Calculate the lowest common multiple of 8 and f(6).
24
Let o = 1667/4 - 407. Find the common denominator of o and (7/(-6))/(8/9).
16
Let j = -3060 - -49053/16. Find the common denominator of j and 21/2.
16
Let n = 8 + -31/4. What is the common denominator of (-15)/(-5) + (-34)/16 and n?
8
Suppose 2*s = 2*y - 18, -14 - 34 = -5*y + 2*s. What is the smallest common multiple of ((-2)/2)/((-2)/4) and 15/y*(-4)/(-3)?
2
Let g = 14 + -12. Calculate the least common multiple of 14 and g.
14
What is the common denominator of 91/20 and 5 + 134/8 + -4?
20
Suppose 2*j + 5*i + 24 = 6*j, 0 = 3*j + 5*i - 18. Let d(y) = y + 27. Calculate the least common multiple of j and d(-21).
6
Suppose 0 = 4*g + s - 45, -13 - 7 = -4*g + 4*s. Calculate the lowest common multiple of ((-5)/(-3) - -1)*3 and g.
40
Suppose 4*c + 11 = 3. Let m = c + 11. What is the smallest common multiple of (12/10)/(1/5) and m?
18
Let s(b) = -b**3 - 3*b**2 + 3*b - 3. Suppose -2*i = 3*g + 16, 4*g - 7 + 31 = -4*i. What is the lowest common multiple of 4 and s(g)?
4
Let b = 199/2024 - 1/88. Find the common denominator of 17/3 and b.
69
Let z be 1553/3 + 3/9. Let m = z + -1619/3. Find the common denominator of m and (-178)/10*(-10)/(-4).
6
Let h = 8299003/195 - 1062899/39. Let c = 76474/5 - h. Let m = c + 163/26. Find the common denominator of 33/8 and m.
40
Let u = 9866 + -157941/16. Find the common denominator of (-47)/(-12) + 1/2 and u.
48
Let l = -36850 - -884273/24. Find the common denominator of l and 17/6.
24
Let x = 15/556 - -12063/1112. Find the common denominator of x and 12/67.
536
Let o = 622/15 - 229/6. Find the common denominator of o and 59/(-4) - 1/2.
20
Suppose -4*b = -28 - 36. Calculate the smallest common multiple of b and (3/6)/((-1)/(-16)).
16
Let c(p) = p**3 + 18. Suppose -5*i - 5*a = 0, 5*a = i + 4*i. Let b(o) = o**3 + 7*o**2 + 7*o - 4. Calculate the least common multiple of c(i) and b(-4).
144
Calculate the lowest common multiple of 7 and (-1)/(4/(0 + -16)).
28
Suppose -2*j - 11 + 3 = 0, g + 72 = j. What is the common denominator of 2/7 - (-502)/(-42) and (-2)/5*g/(-8)?
15
Let k = 15 - 6. Suppose 11 + k = 2*a. What is the lowest common multiple of 22 and a?
110
Let x(k) = k**3 - 10*k**2 - k + 16. Calculate the lowest common multiple of x(10) and 3.
6
Let g(f) = f**2 + 6*f - 4. Let o be g(-8). Let w = 30 - o. Calculate the smallest common multiple of w and (1/(-1))/(1/(-8)).
72
Suppose -t = -2*l + 11, -3*t - t + 4 = 0. What is the common denominator of -73/6 and (l - 9) + 100/6?
6
Let x(f) = f**2 + 8*f + 9. Let b be x(-7). Suppose -5 = -3*p - 6*o + 4*o, b*o + 20 = 2*p. Calculate the least common multiple of p and 7.
35
What is the common denominator of ((-1)/3)/(12/142) and 232/(-22)*(-6)/16?
198
Let c be (-33)/22 - (3 - -1). Let g = 2 + c. What is the common denominator of g and -74/3?
6
Let y be (8455/(-325))/((-46)/6). Let f = -2/299 - y. Find the common denominator of 118/(-22) - 2/(-1) and f.
55
Suppose -n + 6*n - 4*b = 80, -5 = b. Let o = -7/60 + 937/60. Find the common denominator of 77/n + (-2)/3 and o.
4
What is the least common multiple of 14*(-4)/20*-5 and 60?
420
Let d(z) = -2*z - 17. What is the common denominator of d(5) and -93/2?
2
Suppose -2*x + 5978 = -540. Suppose 2*a + x = a. Let d = 26031/8 + a. Find the common denominator of d and -15/16.
16
Calculate the common denominator of (2 + 265/150)/(-1) and 67/2.
30
Suppose 2*b - 3019 = -s - 0*b, 2*s - 6026 = -b. Let j = -42111/14 + s. Find the common denominator of j and (14/40)/(12/(-105)).
112
Let l = -5294516 + 137676807/26. Let r = -746 + l. Calculate the common denominator of r and 23/22.
286
Let t(l) = 1. Let v(k) = k. Let q(m) = t(m) + v(m). What is the least common multiple of q(2) and (28/(-16))/(1/(-4))?
21
Let q(m) = m**3 + 2*m**2 - 8*m - 5. Calculate the lowest common multiple of q(-3) and 14.
70
Let r = 34 + -13. Let a = r - 7. Calculate the least common multiple of 16 and a.
112
Let o = 14/103 + -5557/721. Let z = 3963/2 - 1932. What is the common denominator of z and o?
14
Let v = 1139/18 - 241/9. Let k = -1534/7 - -218. Calculate the common denominator of k and v.
14
Let f = 5/1111 + 24367/16665. Find the common denominator of f and 41/33.
165
Let f(q) = -207*q**2 + 3*q + 2. Let i be f(-2). Let b = i + 21661/26. Wha