
Let d(y) = -3*y - 6. Let l be 10/(-3)*9/(-2). Suppose 9 + l = 3*n. What is the least common multiple of n and d(-4)?
24
Let i = -25809/8 - -3217. What is the common denominator of 3 + 1 - 693/180 and i?
40
Calculate the smallest common multiple of (-66)/4*(-5 - (-715)/(-33)) and 360.
3960
Let z be 4784/40 - 12/20. Suppose -4*g = z + 5. Calculate the common denominator of g and 57/4.
4
Let p(x) = -2777*x**3 + 4*x**2 + 2*x - 4. Let q be p(-3). Let b be (-4)/(-35)*q/14. Let s = b - 614. What is the common denominator of s and 17/10?
70
Let l = -785527/153 + 15403/3. Calculate the common denominator of 7/187 and l.
1683
Let l = 3 + -11. Let d = l + 6. Let p = d - -5. What is the lowest common multiple of p and 10?
30
Let s = 30399 - 2097467/69. Find the common denominator of s and 8/3.
69
Let b(a) = a**2 + 16*a - 65. What is the least common multiple of b(9) and 12?
480
Let z(s) = 0*s + s**3 - 6*s + s + 14 - 5*s**2. What is the least common multiple of 3 and z(6)?
60
Let q = 52523 + -2100811/40. What is the common denominator of 91/20 and q?
40
Let m(l) = -l**3 - 5*l**2 + 6*l - 4. Let u be m(-6). Let w be (0*2/u)/3. Suppose -5*q = -w*q - 30. What is the least common multiple of 10 and q?
30
Let x = 4057901279/1446216 - -5/180777. Let t = x - 2811. What is the common denominator of t and -52/5?
40
Let x(b) = b**2 + 2*b - 3. Let r be x(-4). Suppose -r*o - 2*m + m = -52, o + m = 12. What is the lowest common multiple of 10 and o?
10
Suppose -4*o - 4*m - 52 = 0, -5*o + 4*m - 50 = 60. Find the common denominator of (-4)/o*(-318)/12 and 73/48.
144
Let a(d) = -3*d**2 - 27*d + 6. Suppose 0 = v - 4*x + 11, 5*v - 8 = -5*x + 37. What is the smallest common multiple of a(-9) and v?
30
Let p = -18 + 9. Calculate the lowest common multiple of 5 + (-6)/p*3 and 15*30/250*5.
63
Suppose 2*p - 2*h = -h + 8, -3*p = -2*h - 14. Suppose -2*z + 0*q - 5*q = -13, -p*q = -z + 2. Calculate the smallest common multiple of 2/8*z - -15 and 14.
112
Let b be 40/3 - (-10)/15. Let t(i) = i - 5. Let y be t(b). Find the common denominator of (6 - y)*(-29)/(-4) and 69/2.
4
Let x = -222597294 - -42293584541/190. Let v = -2592/5 + x. Calculate the common denominator of v and (-1)/2 + 91/(-8).
152
Let o be (-328)/(-6) - (-12)/9. Let i = o - 32. Find the common denominator of 51/10 and -3 + i/21*-3.
70
Let p be 6/(-21) + -3 + 1728/1148. Let o = p - -3431/246. What is the common denominator of o and 81/22?
66
Let q be (-6 - (-240)/52)*(-17)/(-15). Let g = -10/13 - q. Find the common denominator of -39/38 and g.
190
Suppose 12 = -5*b + 8*b. Suppose -2*m - 2 = -3*m. Calculate the least common multiple of m - 4/(8/(-18)) and b.
44
Let i = 717/8 - 31019/344. What is the common denominator of i and (-3)/4*260/18?
258
Calculate the common denominator of (-1)/(-4)*(-404)/10 and -1 + ((-3367)/(-1078) - 4/(-14)).
110
Let s(n) = n**3 + 3*n**2 - n - 3. Let q be s(-3). Suppose q*x - x = -8. Let c(v) = v + 21. Calculate the least common multiple of c(-11) and x.
40
Suppose 3*r - 323 = o, o - 231 = -4*r + 202. Calculate the smallest common multiple of r and 11.
1188
Let n = 93 - 39. Let g(t) = t**2 - 9*t - 16. Let d be g(13). What is the common denominator of (-1905)/n + (-8)/d and -73/12?
12
Suppose 0*k - 3*k - 5*c = -980, k + 2*c = 326. Find the common denominator of (-4)/10 + (-768)/k and -61/10.
110
Suppose 2*g + 16 = -0*g. Suppose 37*p - 14 = 36*p. What is the smallest common multiple of p and (-4 + 0)/(1/g)?
224
Suppose -3*h - 2*h - 175 = 0. Let q be ((-1)/(-285))/(6/19182). Let y = q - -11/95. Calculate the common denominator of h and y.
3
Suppose 13 = 8*x + 45. What is the common denominator of 113/6 and (-16)/x - 50/8?
12
Suppose -4*d - 10 + 30 = 0. Let l be d/(10/4) - 1. Let k(v) = 2*v**3 + v - 1. Calculate the lowest common multiple of 4 and k(l).
4
Suppose 0 = -5*d - 26 + 116. Calculate the least common multiple of d and 0 - 590/(-22) - (-8)/44.
54
What is the least common multiple of 33 and (8/(-28))/((-21)/441)?
66
Suppose 0 = -u - 5*p + 2*p - 11, 0 = -2*u - 3*p - 7. Let w be 28/8 + 6/u. Let i(f) = -2*f + 11. Calculate the lowest common multiple of i(w) and 2.
2
Let g be (0 - -1)/((-2)/6). Let n be ((-4)/(-20)*0)/g. Suppose n = 4*l - 16 - 0. What is the smallest common multiple of 3 and l?
12
Let t = 275 - 263. Suppose -2*f - 3 = -3*z - 44, 5*z = 3*f - 63. Calculate the least common multiple of f and t.
48
Let l = 332 + 95. What is the lowest common multiple of l and 21?
1281
Calculate the least common multiple of 182 and (-3 + 21/(-4))/((-12)/416).
2002
Suppose 4*c = 7*c - 318. Suppose -42 = 4*w - c. Let x = w + -15. Calculate the least common multiple of x and 12.
12
Let o = -1/1847 + 35098/9235. Find the common denominator of o and -6/19.
95
Let u = 62 + -61. Suppose 3*c + 11 = 4*i, 5*i + 2*c + 0*c = 8. Calculate the smallest common multiple of u and i.
2
Suppose -153*g = -136*g - 833. What is the lowest common multiple of 6 and g?
294
Let p = 72955/12 + -24991/4. Let s = -529/3 - p. Let o = 67583/12 + -5620. Find the common denominator of o and s.
12
Let n = -19/16 - -117/16. What is the common denominator of n and 119/1788?
3576
What is the common denominator of 35/12 and 552/16*2/30 - 3?
60
Suppose 0 = 3*t - 20 + 14. Suppose -t*r - 5*g + 7 = -4*r, -5*g = -15. Calculate the smallest common multiple of (1/(1/20))/1 and r.
20
Let c be (-4144)/132*9/(-6). Let w = c - 1335/44. Find the common denominator of 1/(1 + 69/(-59)) and w.
20
Let y(w) = 4 + 1632*w**3 - w**2 + 4 - 1633*w**3. What is the least common multiple of y(0) and 22?
88
Find the common denominator of (45 - 35) + 231/(-32) and -77/108.
864
Let s = 2/903 - -18943/9030. Find the common denominator of s and 59/6.
30
Let w = 42162214 + -758523749/18. Let s = w - 21999. What is the common denominator of s and 1 + -5 - (-187)/(-99)?
18
Let r(a) = -7*a - 6. Let q(v) = -2*v + 1. Suppose -5*k + 2*g = 7, -g = -k - 2*k - 4. Calculate the smallest common multiple of q(k) and r(-2).
24
Let f be 12/4894*(9 + -13). Let n = 964286/17129 + f. Let k = -410/7 + n. What is the common denominator of k and -31/5?
35
What is the common denominator of 36072/5845 - (4 + (-2)/(-2)) and -41/10?
70
Suppose a = 18*a - 1683. What is the lowest common multiple of a and 36?
396
What is the common denominator of -45/56 and (-24145)/3850 - 1*-5?
280
Calculate the common denominator of (-118)/(-27) - 3*(-20)/(-15) and -24/11.
297
Let m = 12 + -8. Suppose -m = -5*x + 36. Suppose 6*n + 4*c - 48 = 2*n, 0 = n - 3*c. Calculate the smallest common multiple of n and x.
72
Let w = 11738983/216 - 54347. What is the common denominator of 46/189 and w?
1512
Suppose -14*f + 32 + 136 = 0. Calculate the lowest common multiple of 48 and f.
48
Let b = 2761/60 + -46. Calculate the common denominator of -139/60 and b.
60
Let k(z) = 11*z**2 - 28*z - 93. Suppose -5*y = 4*v - 5, -y + 0*v + 4*v + 1 = 0. Calculate the smallest common multiple of y and k(5).
42
Let z = 54208/377 - 1854/13. Let d = z - 16/261. What is the common denominator of d and -26/9?
9
Suppose 0 = -7*a - 21, 0 = t + 2*a + 2*a - 8. What is the lowest common multiple of t and 85?
340
Let x be ((-24)/(-10))/((-2)/20). Let y be (-15)/(-4) + (-6)/x. What is the common denominator of -67/10 and ((-1024)/336)/(y/6)?
70
Let y be (5/10)/(2/(-88)). What is the smallest common multiple of 102 and ((-36)/(-66))/((-2)/y)?
102
Let c be 57510/(-66)*54/(-12). Let f = 3924 - c. Find the common denominator of f and -81/16.
176
Suppose 0 = 3*s, -2*q + s - 13325 = -7*q. Let y = q - 53281/20. What is the common denominator of 35/16 and y?
80
Let a = -5 + 7. Let g be (-6 + 2)*(-2)/2. Suppose -18 - 14 = -g*m. What is the least common multiple of m and a?
8
What is the common denominator of 65/152 and (20727/4704)/(1 - (-62)/(-8))?
1368
Let a(y) = 6*y**2 + y + 1. Let w(n) = n**2 + 19*n + 19. Let r be w(-18). What is the least common multiple of 10 and a(r)?
40
Let z be -4 - ((-2114749)/(-198))/13. Let s = z - -7474/9. Find the common denominator of -19/10 and s.
110
Let j = 1603 + -1602. Calculate the lowest common multiple of j and 148.
148
Suppose -5*w = -2*w - 15. Suppose -2*a - 1 = -w. Suppose 3*v + 3*j - 30 = 0, a*v + 4 = 3*v - j. Calculate the smallest common multiple of v and 1.
7
Let o be (-59759)/9580 - (4 - 5). Let a = 