8008. Let y = c + -2652492457/22. Let l = -23188 - y. Find the common denominator of 1/18 and l.
198
Let b be ((-509)/6)/(2/(-9)). Let x = b + -387. What is the common denominator of x and 1 + -7 - (-1224)/160?
20
Let o be (2 + -1)/((-3)/(-15)). Suppose -60 + 5 = -o*h. What is the lowest common multiple of 3 and h?
33
Suppose 0 = -46*p + 909 + 1023. Calculate the least common multiple of p and 60.
420
Let y(r) = 33*r - 21. Suppose 0 = 4*l - 187 + 51. What is the lowest common multiple of y(1) and l?
204
What is the common denominator of 83/90 and (-917)/280 + -3 + 4?
360
Let q = 10173 - 162709/16. Find the common denominator of -58/33 and q.
528
Calculate the common denominator of (-3)/(-2)*(-174)/(-234) and -36/17.
442
Let q = -934547/80 + 11682. Find the common denominator of -7/20 and q.
80
Suppose -3211 + 361 = -19*o. Calculate the lowest common multiple of o and 54.
1350
Suppose -24 = -2*v + c, -2*v = -0*v + 4*c - 14. Suppose -4*f = 5*q - v - 80, 97 = 4*f - q. Calculate the lowest common multiple of f and 20.
120
Let l = -206 - -3082/15. What is the common denominator of l and -35/24?
120
Let y be (-3)/7 - 70260/210. Let j = y + 479. Calculate the lowest common multiple of 2 and j.
144
Let b = 14371/32 + -449. Calculate the common denominator of 298/(-6)*9/(-18) and b.
96
Let m = 803 - 783. Calculate the least common multiple of 6 and m.
60
Let g(h) = 486*h + 1. Let w be g(-1). Let f = 3889/8 + w. Find the common denominator of (5/(-33))/(4/(-102)) and f.
88
Suppose 4*l = 3*m - 21 + 1, -2*l = -2*m + 12. Let f(h) = 2*h**3 - 2*h**2 + 4*h - 4. Calculate the smallest common multiple of f(2) and m.
12
Suppose -5*w + 7750 - 42000 = 0. Let z = w + 3843. Let y = z + 30027/10. Calculate the common denominator of y and 49/18.
90
Suppose 0 = 3*k + 12, -9523 = 5*p + 2*k - 5*k. Let y = -11387/6 - p. Find the common denominator of (-8)/(-16) + (-70)/(-3) and y.
6
Suppose 3*t - 14 - 13 = -3*i, 5*t + i = 37. Let j be (-129483)/18*(-2)/t. Let b = j + -2061. Calculate the common denominator of b and -23/10.
70
Let n = -43 + 54. What is the smallest common multiple of 3*1 + -1 + 1 and n?
33
Suppose 0 = -3*o - 2*j - 77, -79 = 3*o + j - 0. Calculate the common denominator of (15/o)/5*35 and -22/15.
45
Suppose 3*n - 13 = 11. Suppose v - 3*p - 8 = p, 2*v - 5 = -3*p. Let t = v - -16. Calculate the lowest common multiple of t and n.
40
Suppose -35*c + 28*c = -84. Suppose 4*p - 15 = 57. Calculate the lowest common multiple of p and c.
36
Let o(w) = -w**3 - 8*w**2 - 3*w - 7. Let q be o(-7). Let c be (-114)/(-14) - (-5)/q. Suppose 3*g + c = 56. What is the lowest common multiple of g and 16?
16
Suppose -12 = -2*h + 6. Suppose 13 - 15 = 2*g. What is the smallest common multiple of h and 3 + g + 18 + 0?
180
Let w = 3084/5 - 615. What is the common denominator of 121/738 and w?
3690
Let r(m) = m - 1. Let c be r(-3). Let f be 2/15 + c/30. Suppose 0 = 2*u - 6, f = 3*s - u - 11 - 16. Calculate the smallest common multiple of s and 2.
10
Let c = -3842/3 + 1262. Find the common denominator of 67/24 and c.
24
Let t = 56 + -54. Let z = t + 6. Let w = 11 - 4. What is the smallest common multiple of w and z?
56
Let a = -8 + 12. Suppose a*h = 14 - 2. Suppose -h = s - 9. Calculate the least common multiple of s and 8.
24
Suppose 368 = -20*i + 1248. What is the lowest common multiple of i and 36?
396
Suppose z = -2*l + 1, -4*l - 5*z = -2 + 15. Suppose l*h - 19 - 41 = 0. What is the least common multiple of 18 and h?
180
Let z = -5127 - -20609/4. Find the common denominator of (-214)/3*4/(-32) and z.
12
What is the common denominator of 67/200 and (-2)/32*14602/2205?
1800
Suppose 39*w - 198 = 28*w. What is the smallest common multiple of 36 and w?
36
Suppose -2 + 7 = -s, -5*k + 5*s = -160. Suppose 0 = 4*p - 21 - k. Calculate the lowest common multiple of p and 4.
12
Suppose -10 = -5*t, -p = 4*t - 5 - 13. Let c(j) = -j + 1 - 20 + 4. What is the least common multiple of c(-16) and p?
10
Suppose -2*d = -d - 240. What is the common denominator of (-2)/5 - (-241)/d and (-2)/20*(-7980)/(-608)?
48
Let x be 8/6*90/40. Suppose -2*g + 1 = 3*m, -4 + 13 = -m - x*g. Let t = -1392 - -9768/7. Calculate the common denominator of m and t.
7
Suppose -j = 3*j - 432. Let h be ((-138)/(-12))/(j/58). Let i = h + 2/27. What is the common denominator of -65/14 and i?
28
Let n be 8/10 + (-468)/(-15). Suppose 37*a = n*a + 25. Calculate the least common multiple of 9 and a.
45
Let g = 127 - 79. Suppose -p + 5*p = -g. Let f = 6 - p. What is the lowest common multiple of 12 and f?
36
Let j = -3/263 - -86829/3419. Let m = -24412/975 + j. Let g = 514/75 + m. Find the common denominator of 51/10 and g.
10
Let h = -29881/480 + 938/15. What is the common denominator of h and 1*(-1 + (-162)/20)?
160
Suppose -w - 200 = -4*x + 3*w, -3*x + w = -140. Calculate the smallest common multiple of 18 and x.
90
Suppose 0 = q + 3*o - 391, 13*o + 1542 = 4*q + 14*o. What is the smallest common multiple of q and 63?
3465
Suppose 5*a = -x + 36, -2*x + 15*a = 14*a - 28. Calculate the least common multiple of 76 and x.
304
Let i be 3/((-72)/(-201662)) + -3. Let y = i - 8389. What is the common denominator of 77/18 and y?
36
Let g(m) = 3*m**2 + 10*m - 10. Let c be g(7). What is the common denominator of (5/(-9))/(6/c) and -6 - -4 - (-356)/24?
6
Let f = 4201/6 - 695. What is the common denominator of f and -5/6?
6
Let u = 97 + -97. Let m(h) = 9*h + 8. Find the common denominator of -22/9 and m(u).
9
Let p be 3/2*90/27. Suppose 12*a - 98 = p*a. Suppose -4*m + d + 48 = 5*d, 0 = -2*m + 4*d - 6. What is the least common multiple of m and a?
14
Let v(w) = -7*w**2 + 31*w - 11. Let a(j) = 4*j**2 - 15*j + 5. Let z(o) = -10*a(o) - 6*v(o). What is the lowest common multiple of 16 and z(18)?
16
Let c = 3641 + -287602/79. Calculate the common denominator of c and -43/8.
632
Find the common denominator of 2873/408 + 3 + -7 and 93/40.
120
Let y be 398732/71775 - (3 + -3)/(-7). Let a = y - -2/7975. Calculate the common denominator of a and -52/7.
63
What is the common denominator of 37/3 and ((-99)/3)/(714/6)?
357
Calculate the common denominator of -59/10 and (-56 - -54) + 2/((-456)/(-542)).
570
Let c(d) = -33*d + 1338. Let u be (0 - -2)/((-3)/(-6)). Let t = 6 - u. Calculate the least common multiple of t and c(40).
18
Suppose 14*n - 36 = 11*n. What is the least common multiple of n and 2?
12
Let x = -191569175239/2112 + 90705100. Let l = x + -3/704. Calculate the common denominator of 249/6*(-1)/5 and l.
60
Let g(s) = 3*s**2 + 94*s + 585. Let q(d) = -d**2 + 8*d - 8. Calculate the lowest common multiple of g(-7) and q(6).
148
Let k = 48 + -22. What is the least common multiple of k and 58?
754
Let f(i) = -22*i - 126. Let a(m) = -7*m - 42. Let q(c) = 14*a(c) - 4*f(c). What is the smallest common multiple of 20 and q(-10)?
80
Suppose h = 5*s - 4*h - 35, s + h - 9 = 0. Let k = -1828 - -1900. What is the smallest common multiple of k and s?
72
Let g = -41 + 43. Suppose g*a + 3*c = 12, a - 5 = -4*c + 2*c. Calculate the least common multiple of 2 and a.
18
Let j(p) = -2*p - 12. Suppose 4*k + 44 = 8. Calculate the lowest common multiple of (-2 - 1)/((-1)/3) and j(k).
18
Calculate the common denominator of ((-2)/8)/((-1)/(-38)) and (5/15)/((-33)/(-117)).
22
What is the common denominator of -69/14 and (351/390)/((-480)/46)?
5600
Let d(r) = r**3 - 7*r**2 + 2*r + 4. Suppose 10*v - 5*v = 35. Let o be d(v). Find the common denominator of 119/24 and 59/(-4)*(-9)/o.
24
Let y = 10 - -6. Let k = -122 + 130. Calculate the least common multiple of k and y.
16
Let n be (-58)/(-4)*(-18 + 22). Suppose 0 = -4*l + u + 46, -7*l + u + n = -2*l. Calculate the least common multiple of 8 and l.
24
Suppose 0 = 3*x - 4*x + 16. Calculate the least common multiple of (-115)/(-15) + (-3)/(-9) and x.
16
Let a = -34269/51901 - -11/1207. Find the common denominator of a and 33/50.
2150
Let z = 870 - 5294. Let c be (-2)/4*z/7. What is the common denominator of (3/(-2))/(60/c) and 83/8?
40
Suppose -20 = 5*o + 70. Let r = o + 20. Calculate the lowest common multiple of 4 - 0 - (-5 + 3) and r.
6
Let h(f) = f**3 - 2*f**2 + f + 11. Let l = -25 + 25. Let k be h(l). Calculate the common denominator of 73/8 and ((-10)/(-6))/(k/(-18)).
88
Suppose 5*l + 5 = -5. What is the common denominato