 y**2 - 5*y - 3. Let m be q(4). Calculate the least common multiple of 12 and v/m + (-10)/35.
36
Let q be 0 + 1 + 1 - 10. Let k = -2 - q. Calculate the smallest common multiple of 4 and k.
12
Let b = 1433/6 - 5063/21. Calculate the common denominator of b and 77/8.
168
Let g be -2*5/((-40)/92). Suppose 5*c = -g + 113. Calculate the smallest common multiple of 16 and c.
144
Let t = -7 + 4. Suppose 0*b + 5*b + 2*g = 70, 0 = g. Calculate the lowest common multiple of b and t/(2/4*-3).
14
Let l = 10409/4 - 2584. Calculate the common denominator of (-4)/(-16) + 65/8 and l.
8
Let h be ((-8)/16)/(2/16). What is the common denominator of h/18 + 834/(-135) and 25/11?
55
Let m = 192 + -2003/10. Let x = -21 - -3. Calculate the common denominator of (-9)/(-30)*255/x and m.
20
Let y = 105 - 88. What is the lowest common multiple of y and 5?
85
Suppose 20 = -5*o - 4*i + 85, -31 = -4*o + i. Suppose a - o = -5*c, 7*a - 4*a = -3*c + 27. Calculate the smallest common multiple of a and 5.
45
Suppose 3*y + 5*o = -0*y + 86, 76 = 3*y - 5*o. Suppose 2*k + 2*t = 38 - 6, 2*k + t - y = 0. Calculate the lowest common multiple of k and 6.
66
Let m(t) = 3*t - 1. Let w be m(2). Let r = 6 - w. Calculate the least common multiple of 4 and r.
4
Let l = -6884 - -144605/21. What is the common denominator of -91/15 and l?
105
What is the common denominator of 65/20*14/(-4) and 111/14?
56
Suppose -5*b - 5 = -55. Let x = b - -10. Calculate the lowest common multiple of 6 and x.
60
Suppose -5*h = -3*h + y - 15, -h - y + 7 = 0. Let n(x) = 9*x - 9. Let l be n(h). Calculate the common denominator of (l/24)/(-3) + 1 and 95/6.
24
Calculate the least common multiple of 6 and 1/(-3) + (-366)/(-18).
60
Let y = 5 + 0. Let r(l) = l**2 - 3*l - 6. What is the smallest common multiple of r(y) and (-164)/(-16) - 2/8?
20
Let s = 1966/9 + -225. Calculate the common denominator of s and (2*13)/(-1 + 10).
9
Suppose 3*r = 3*j + 42, 3*r = 5*j + 11 + 35. Find the common denominator of 1/r*438/10 and -67/6.
60
Let u = -7 + 2. Let p = 8 + u. What is the lowest common multiple of p and 6?
6
Let d = 115405415/14 - 8239382. Let i = -3864 + d. Calculate the common denominator of 2/(-2) - (-131)/6 and i.
42
Suppose 6*c = 71 + 1. What is the lowest common multiple of c and 14?
84
Let d be (4/3)/((-2)/(-45)). Let c = d + -20. Suppose -36 = 2*u - 4*u. What is the smallest common multiple of c and u?
90
Let p = 66 - 64. Let l(b) = -19*b - 1. Let a be l(-2). Let r = a - 19. Calculate the least common multiple of r and p.
18
Let s = 20 + 0. What is the smallest common multiple of s and 22?
220
Calculate the smallest common multiple of 4/14 - ((-324)/42 + -4) and 16.
48
Calculate the least common multiple of (-12)/30 + (-102)/(-5) and 40.
40
Let u(n) = -n**3 + 10*n**2 - 9*n + 10. Calculate the smallest common multiple of u(9) and 22.
110
Let l(d) = d**2 - 2*d - 3. Let w be l(4). Suppose -3513 + 33793 = w*t + 5*n, 5*n - 24224 = -4*t. Let x = 54442/9 - t. Find the common denominator of x and 28/9.
9
Calculate the lowest common multiple of 52 and 14/(-21)*(-31 + 1 + 0).
260
Let v = 8394643/90 - 93272. What is the common denominator of 12/7 and v?
630
Let q(r) = -31*r + 8. Let s be q(-12). Let a = s + -713/2. Find the common denominator of 14/5 and a.
10
Suppose -2*h = 2*c - 16, 0 = c - 0*h + 3*h - 18. Suppose m - 17 = -3*i, 42 = c*m + 5*i + 11. Calculate the smallest common multiple of 6 and m.
6
Suppose 0 = 3*c - 0*c - 30. What is the least common multiple of 10 and c?
10
Let v = 54 + -52. Calculate the least common multiple of 16 and v.
16
Let t = -4084/7 + 582. Calculate the common denominator of -46/7 and t.
7
Let l = -28 - -46. Let q(a) = 2*a**2 - a - 1. What is the least common multiple of l and q(-1)?
18
Suppose 3*r = 4*r - 3. Calculate the common denominator of 2/10*75/(-8) and r/9 + (-88)/6.
24
Let t = 11 - 10. Let z = 2/7397 + 332849/59176. What is the common denominator of t/(4/(-130)) - 0 and z?
8
Let q = 2/16581 - 1608385/232134. Calculate the common denominator of q and (-2 - 130/(-24)) + -1.
84
Let t(i) = 2*i - 1. Let n be t(3). Suppose n*p = p + 24. Calculate the least common multiple of 12 and p.
12
Calculate the common denominator of 74/21 and (-1)/(-4) - 2608/(-2496).
546
Let y(n) = 11*n**2 - 2*n + 1. Calculate the lowest common multiple of y(1) and 28.
140
What is the common denominator of 83/8 and (1/(-3 + 1))/((-2)/71)?
8
Let i = -14 + 28. Suppose 4*h = y + 56, -h + 2*h - 4*y = i. Calculate the smallest common multiple of h and 6.
42
Let u(l) = -2*l**2 - 5*l + 2. Let d be u(5). What is the common denominator of 1059/270 + (-4)/18 and (-3)/(-48)*d/(-1)?
80
Let v = 0 + -6. Let y = -148/3 - -107/3. Find the common denominator of v/15 + (-344)/(-110) and y.
33
Let l(o) = o**2 + 2*o - 7. Let v be l(-6). Let m(n) = n**3 - 16*n**2 - 17*n + 14. What is the least common multiple of m(v) and 14?
14
Find the common denominator of -23/24 and -2 - ((-82)/(-20))/(-1).
120
Suppose 8*h - 7*h = 20. What is the least common multiple of h/(-70) - (-23)/7 and 3?
3
Let z(g) = g + 16. Suppose -2*b = 2*n - 10, -3*b - b + 4*n = 12. Let x = b + 0. What is the least common multiple of x and z(-11)?
5
Suppose 0 = 4*w - 3*v - 4, -3*w + 0*v = 5*v - 32. Let p(a) = -3 - 6*a - a + w*a + 0*a. Calculate the smallest common multiple of p(-2) and 9.
9
Let j(v) = -19*v**3 + 2*v**2 - 1. Calculate the least common multiple of j(-1) and (-9)/12*(1 + -17).
60
Suppose -3*p - 2*p + 35 = 0. Calculate the least common multiple of 4 and p.
28
Let o be 3 + -1 + (-84)/(-3). Calculate the common denominator of 63/2 and 6/(-8)*172/o.
10
Let i = 1331 - 5297/4. Find the common denominator of i and 93/10.
20
Let h(k) = k**2 - 6*k + 7. Suppose -3*f - 5*w + 18 = 0, 3*f - 1 - 5 = -w. Calculate the lowest common multiple of f and h(6).
7
Let r = 8 + -6. Suppose -2*v - r*b - 2*b - 6 = 0, -5*b - 46 = -3*v. Calculate the least common multiple of v and 1.
7
Let j = -36 - -12. Let i(c) = -8*c + 5. Let z be i(4). Find the common denominator of (-980)/198 + (-6)/z and j.
11
Let h = 4 - 1. Suppose 0 = -h*d - d + 32. Calculate the least common multiple of ((-3)/((-9)/14))/((-1)/(-3)) and d.
56
Let k = 47 + -11. Calculate the common denominator of -77/2 and (-2)/(-8) - (-717)/k.
6
Let j = -9 + 13. Suppose 0 = j*f - 3 - 1. What is the lowest common multiple of f and 11?
11
Let r(l) = 8*l - 8. What is the smallest common multiple of 1*-1 - (-1 - 22) and r(3)?
176
Let c be -179*2*(-4)/(-8). Let k = -883/5 - c. Calculate the common denominator of -27 and k.
5
Let a = 63 + -127. Let x be (24/a)/((-3)/(-14395)). Let l = 1797 + x. What is the common denominator of l and -125/6?
24
Let x = -311773/48 + 6496. What is the common denominator of -61/4 and x?
48
What is the common denominator of (460/150)/(8/18) and -68/9?
90
Suppose -k - 4*k - 10 = 0. Calculate the smallest common multiple of 20 and k/(-7) - (-760)/35.
220
Suppose 0*p = -p + 13. Let x = 19 - p. What is the least common multiple of x and 4?
12
Suppose 2 = -0*s + s. Suppose 2*w + 5 = f, -s*f + 3*w = 3*f - 25. Let o(r) = -r**3 + 6*r**2 - 4*r + 1. Calculate the lowest common multiple of 4 and o(f).
12
Let c(k) = k + 2. Let j be c(-2). Let q(s) = 4*s - 4. What is the lowest common multiple of q(3) and -1 + 2 + j - -9?
40
Calculate the common denominator of 27/52 and (-1)/(-12)*(-141)/(-2).
104
Suppose -8*d + 4*d = -3*a + 18, -4*a - 4*d + 24 = 0. Suppose -3*t = -25 - 5. Calculate the lowest common multiple of t and a.
30
Suppose 5*m + 43 - 13 = 0. Find the common denominator of 65/18 and -1 + 67/m + 4.
18
Let d = 13666 - 341598/25. What is the common denominator of 65/9 and d?
225
Calculate the common denominator of 2/(-240)*13*-3 and 63/20.
40
Let v = -7781 - -124449/16. Let q = -64389/10 - -6448. Find the common denominator of v and q.
80
Let x be (-4)/6*3/(-2). Let f = -8 - -16. Calculate the lowest common multiple of f and (-2*4)/(x - 2).
8
Let z = -3757 + 1286. Let n be (-1 - -210)*(-47)/4. Let l = z - n. Calculate the common denominator of l and -117/10.
20
Calculate the lowest common multiple of (-1 + -4 + 4)*-2 and 11.
22
Let x(q) = q**3 + 7*q**2 + 6*q - 6. Calculate the least common multiple of 5 and x(-5).
70
Let r be 0 + (24605/9)/1. Let i = 2731 - r. Calculate the common denominator of i and -109/