What is the common denominator of 101/22 and ((-1272)/g)/((-8)/6)?
110
Let y(i) = -2*i - 6. Suppose 8 = 4*v - 0. What is the lowest common multiple of v and y(-13)?
20
What is the smallest common multiple of 11 - -2 - (2 - -2) and 5?
45
Let o = 205 - 88. Let z = o + -76. What is the common denominator of 79/2 and z/(-5)*(-35)/(-98)?
14
Let m = 12 - -21. What is the lowest common multiple of 6 and m?
66
Let h = 18 + -20. What is the smallest common multiple of (-2)/h + (0 - -2) and 9?
9
Suppose -2*y + 3*a = -60, 2*y + 3*a + a = 88. What is the lowest common multiple of 24 and y?
72
Let n = 24489/20 - 1225. Let o = 615323/26 + -23670. What is the common denominator of n and o?
260
Suppose 0 = -4*u + 2*u + 8. Suppose 0*p - u = -p. What is the smallest common multiple of 9 and -1*(p - 3)*-3?
9
Let u(g) = -g**2 - 19*g + 14. Calculate the least common multiple of 6 and u(-19).
42
Let p = -927502/329 - 29502/47. Let y = p + 3441. What is the common denominator of -79/4 and y?
28
Let u = 1723/2 - 833. Suppose 0 = -3*a + 2*v - 24673, -2*a - 24672 = a - 3*v. Let o = a - -49489/6. Calculate the common denominator of u and o.
6
Suppose 3*w - 6 = 0, -5*x + 4*w = 3*w - 8. Let m be (-8)/24 - x/3. What is the smallest common multiple of (0 + m/(-2))*20 and 1?
10
Let l = -49 + 67. What is the least common multiple of 4 and l?
36
Let j be (-4)/((-5268)/45)*1. Let s = -527673625 + 1389892299805/2634. Let b = s - j. Calculate the common denominator of b and -85/4.
12
Suppose -5*m = -3*m - 5*n - 25, -38 = -4*m - 2*n. Let r(h) = -h**3 - 6*h**2 - 2*h - 3. What is the smallest common multiple of m and r(-6)?
90
Let c be (-66)/9*-3 - 0. Let h = c - 11. What is the lowest common multiple of h and 12/66 + (-40)/(-22)?
22
Let k = 4953/20 + -1011/4. Calculate the common denominator of k and -29.
10
Let y be (25560 + -1)*2/(-16). Let n = 3189 + y. Calculate the common denominator of 542/84 + 4/(-14) and n.
24
What is the common denominator of 5/(20/(-42))*-1 and 71/20?
20
Suppose h = 3*w - 15, -3*w - 4*h + 12 = -3. Suppose -5 + 35 = -w*x. What is the common denominator of x/16*(-1356)/81 and -109/22?
198
Let k be -1 + 24/722*30. Let u = k + 1451/2527. Calculate the common denominator of 21/10 and u.
70
Let u = -8 + 15. Suppose -2*m - 3 + u = 0. Calculate the smallest common multiple of 16 and m.
16
Suppose 5*u - 5*r + 55 = 0, -25 = 5*u - r + 18. Let x be (u/5)/(4/(-30)). What is the common denominator of 0 - -14*x/(-15) and 27/5?
5
Let u = 2 + 1. Find the common denominator of (-70)/u*2/(-4) and (-36)/5*(-4)/6.
15
Suppose -3*d + 15 = 3. Suppose l - 3*h = 6, d*l - 2 - 5 = -5*h. What is the least common multiple of (-12)/18 - (-14)/l and 22?
44
Let s = -12 + 20. What is the lowest common multiple of s and (-2)/(6/(-3)) - 0?
8
Suppose 5*b - 4*f = -22 + 57, -4*b - 3*f - 3 = 0. What is the smallest common multiple of (1/b)/(7/105) and 1?
5
Let i = 13037 + -208657/16. Calculate the common denominator of -13/10 and i.
80
Let c = -6 + 12. Suppose 2*w - c*w - 16 = 0. Calculate the smallest common multiple of (-210)/(-27) - w/18 and 8.
8
Let x(w) = w**3 + 5*w**2 - 6*w + 5. Let o be x(-5). Suppose 4*z - 3 = -o. What is the common denominator of 11/(-2)*6/z and -35/2?
8
Suppose 0 = 13*o - 12*o - 8. Calculate the lowest common multiple of o and 3.
24
Let d = 5 + 3. Calculate the common denominator of 4/d + 47/9 and -65/16.
144
Let j(y) = 2*y - 8*y + y + y. Calculate the smallest common multiple of j(-1) and 12.
12
Suppose -5*r + r - 12 = -3*w, w = -5*r + 4. Let x = r - -4. Calculate the smallest common multiple of x and 10.
20
Let p = 18 - 13. Suppose -5*r + p*y - 5 = 0, 4*y - 8 = 2*r - 2. What is the smallest common multiple of (r + 68)/3 - 1 and 8?
88
Let g = -71384664/5 - -1572248603/110. Let n be 280/(117/58 - 2). Let f = n - g. Calculate the common denominator of f and 69/16.
176
Let z = 88 + -20. Suppose 0 = -4*c + 82 + 110. Let f = z - c. Calculate the lowest common multiple of f and 14.
140
Let v = 4 + -2. Calculate the least common multiple of v and (9 - 4)*18/5.
18
Let b = -21/40 + -1559/40. Calculate the common denominator of b and -127/42.
42
Suppose 0 = 2*o - x - 20, o - x + 2*x = 10. Calculate the least common multiple of o and 22.
110
Let o be -3 + (1 - 1480/(-2)). Find the common denominator of (1/(-6))/(20/o) and 67/14.
140
Suppose 2*q + 20 = 5*i, i = -0*i - 5*q + 4. Suppose -i*x + 9 = -x. Let s(v) = -v**3 - 8*v**2 - 3*v - 17. Calculate the least common multiple of x and s(-8).
21
Let c = 73 - 63. What is the lowest common multiple of c and 22?
110
What is the common denominator of (96 - -2)*2/(-88) and 15/(-72)*(130/(-6) - 1)?
198
Suppose 0 = -11*k - 2*k + 546. What is the least common multiple of k and 6?
42
Let c(z) = 3*z - 4. Let b be c(3). Suppose 0 = b*q - 3 - 7. What is the common denominator of -71/3 and q/(-7) - 248/(-35)?
15
Let f = -61 + 141. Suppose -3*l - l + f = 0. Calculate the smallest common multiple of l and 8.
40
Let j = 5 - -37. Suppose j = 5*g + 4*m - 2*m, 3*g - 3*m - 42 = 0. Calculate the least common multiple of 3 and g.
30
Let k be 0 + -19 - (1 - -1). Let w = k - -32. Suppose 2 = -3*m + w. Calculate the least common multiple of m and 1.
3
Let n = 8/2535 - 7723/1690. Calculate the common denominator of n and -55/21.
210
Suppose 4*o - o = 4*f - 54, 2*f = 5*o + 34. Let u = 8 - -1. What is the smallest common multiple of f and u?
36
Let u(w) be the first derivative of -w**3 + 1. Let y be u(1). Find the common denominator of ((-357)/14)/(y/5) and -87/8.
8
Let l(g) = g - 2. Let q be l(5). Let p(k) = k - 10. Let c be p(11). Calculate the lowest common multiple of -20*(-3 + q - c) and 2.
20
Let t(l) = -l**2 - 5*l + 3. Let u be t(-5). Suppose -u*p = -p - 8. Suppose p*v - 2*v - 16 = 0. What is the least common multiple of v and 4?
8
Suppose 483 = 7*n + 84. What is the least common multiple of 27 and n?
513
Calculate the common denominator of (-145)/(-36) - -1 - 68/51 and -5/32.
288
Let q = -45 + 79. Let f = -20 + q. Suppose 0*p - 2*p - 62 = -4*h, 53 = 4*h + p. Calculate the lowest common multiple of h and f.
14
Let d(z) = -3*z + 3. Let x be d(-4). What is the common denominator of ((-309)/12)/(x/6) and 61/14?
70
Let y = -55 - -2. Let k = y - -77. Find the common denominator of (-238)/k - (1 + 0) and 15/4.
12
Let d = 26 + -16. What is the smallest common multiple of 2 and d?
10
Suppose -19 = -4*d + 9. Let p(k) = 2*k - 8. Let g(b) = b - 9. Let v(c) = -4*g(c) + 5*p(c). What is the common denominator of v(5) and d?
1
Let m(l) = 4*l**3 + l**3 + l**2 + l**2. Let i be m(-4). Calculate the common denominator of 46/3 and 1256/i - (-2)/8.
9
Let a be -18*(-1 - (-2)/6). Let q = -3 + a. Calculate the smallest common multiple of q and 4.
36
Let h = 108 - 219/2. Let t = 6343/8 + -794. What is the common denominator of h and t?
8
Let z(h) = h**3 - 2*h**2 - 2*h + 4. Let l be z(3). Suppose -l + 29 = 2*s. What is the least common multiple of s and (6*-1)/((-2)/3)?
99
Find the common denominator of -27/4 and ((-306)/75)/(4 + 48/(-15)).
20
Let s(u) = u**3 - 8*u**2 + 8*u + 2. Suppose 0 = -2*w - 5 + 19. What is the least common multiple of 11 and s(w)?
99
Let p = 27763 + -777283/28. Calculate the common denominator of p and -41/12.
84
Suppose 0 = -f - 5*v - 53, 4*f - v + 116 = -75. Let n = f - -151/6. Find the common denominator of 121/12 and n.
12
Calculate the common denominator of -37/10 and 9/(-15)*(3 + 116/(-54)).
90
Let d be -1*0/2 - 20. Let f be ((-3128)/d)/(36/(-4555)). Let t = 19795 + f. What is the common denominator of 107/14 and t?
126
What is the common denominator of -32/3 and (0 - 19) + (4 - 3)?
3
Suppose -4*t + 16 = -2*t. Let h = 2 - -2. What is the lowest common multiple of t and h?
8
Let z(v) = -6*v + 4. Let x = 30 - 10. Calculate the least common multiple of x and z(-1).
20
Let f = -72 - -108. Calculate the smallest common multiple of 7 and f.
252
Suppose -5*p + 8*p - 54 = 0. Let d = -31 + 37. Calculate the least common multiple of p and d.
18
Find the common denominator of 49/3 and (-44)/3*1 - -3.
3
Let z = -13 - -31. Suppose -25 = -5*a + 5. What is the least common multiple of a and z?
18
What is the smallest common multiple of 100 and (5 - 4)/((-2)/(-20))?
100
What is the lowest common multiple of -27*(-1 + (-1)/(-3) + 0) and 16?
144
Let n = -6677/390