of k and -1/11.
22
Let i(p) = 119*p**2 + 1. Let l be i(-1). Let t = 88/5 - 143/10. What is the common denominator of t and (-215)/l*(0 - 3)?
40
Suppose 202 = 3*r + 2*h, r - 5*r - h + 276 = 0. What is the least common multiple of r and 35?
70
Let z = -173173/24 + 7214. What is the common denominator of z and 79/20?
120
Let u be (-12)/8*(-4)/6. Let j be 2/(u/((-9)/(-6))). Suppose -2*r + 5 = -j. What is the lowest common multiple of 78 and r?
156
What is the common denominator of ((-1101)/(-90))/1 - 6/15 and 29/106?
318
Let t(i) = 2*i - 53. Let d be t(0). Let h = d - -77. Let l = -4 - -6. What is the least common multiple of l and h?
24
Let x(c) = 19*c**2 + 12*c + 11. What is the lowest common multiple of x(-1) and 48?
144
Let o = 284/81 + -1817/1296. What is the common denominator of o and 55/144?
144
Let v = -4971547/104 + 740148/13. Let s = -9143 + v. Calculate the common denominator of 27/4 and s.
8
Suppose -4*v + 268 = -3*x, v + 3*v + 2*x = 288. Calculate the least common multiple of v and 14.
70
Let v = -12109/4 - -3044. Calculate the common denominator of v and (-2*(-1)/(-3))/(14/91).
12
Let i = 391/1293 + -17517715/9051. Let a = 1928 + i. Let s(x) = x**3 + 5*x**2 - 5*x. Find the common denominator of a and s(-5).
7
Suppose 6*r - 11*r - 140 = 0. Calculate the common denominator of (15 - (3 - 5))/r and 61/6.
84
Let d(t) = 35*t**2 + 3*t - 11. Let k(o) = 12*o**2 + o - 4. Let s(m) = 4*d(m) - 11*k(m). Calculate the lowest common multiple of s(-1) and 6.
42
Let r(l) = 2*l**2 - 18*l. Calculate the smallest common multiple of r(15) and 16.
720
Let n = 91 + -31. Let x be (1/(-2))/((-3)/n). Suppose 3*y - 4*k - x = k, -3*k = -y + 2. What is the lowest common multiple of 11 and y?
55
Suppose -w - 4*f + 3 = -0*f, 0 = 5*w + 4*f - 15. Calculate the least common multiple of ((-180)/27)/((-1)/w) and 8.
40
Let b be 1604/(-10) - 3/5. Calculate the common denominator of -121/30 and b/(-18) + -1 - 0.
90
Suppose -4*c - 282 = -2*g, -4*c + g = -3*g + 284. Calculate the common denominator of (c/160)/((-2)/(-8)) and -19/3.
12
Let a = -118/53 + -3927/212. Calculate the common denominator of a and 77/38.
76
Let t = 2547/40 + -329/5. Let n = 24377/6 - 4080. Calculate the common denominator of t and n.
24
Suppose 5*f - 110 = -0*f. Suppose 0 = -4*r - 4*h - 344, h - 76 = 3*r + 174. Calculate the least common multiple of (360/r)/((-6)/28) and f.
220
Let i(x) = 2*x**2 - 66*x - 56. Calculate the lowest common multiple of 438 and i(34).
876
Let y = 4364833/87668 + 104/3131. Let k = -207/4 + y. Calculate the common denominator of (10/3)/(88/(-54)) and k.
154
Suppose -4*h = -0*h - 36. Let q(d) = d**3 - 10*d**2 + 9*d + 2. Let o be q(h). Calculate the smallest common multiple of 18 and (o - 26)*15/(-20).
18
Let f = -79/17 + 3233/714. Find the common denominator of f and 151/18.
126
Suppose 5*f - 10*g - 300 = -14*g, f - 51 = g. Calculate the least common multiple of f and 4.
56
What is the common denominator of 9/40 and -6 - (-7 - 310/(-160))?
80
Let w(u) = 221*u - 12. Let s be w(4). Let q = s + -1763. Calculate the common denominator of -53/9 and 2/2 + q/88.
72
Suppose -30*b + 28*b + 16 = 0. What is the smallest common multiple of 40 and b?
40
Let i(k) = 4*k - 20. Let d be i(9). Suppose 21*x - d = 20*x. Calculate the lowest common multiple of x and 30.
240
Suppose -i = -2*d - 97, -5*d + d - 479 = -5*i. Find the common denominator of (6/(-2))/6 - (-100)/i and -17/10.
190
Let s be (2563/6)/(35/609). Let w = s + -7426. Let r = 10421/1482 - 574/57. Calculate the common denominator of w and r.
130
Let o be (-4)/20 + 19/(-5). Let r be (-2)/o*91902/10. Let f = r + -4602. Calculate the common denominator of -77/2 and f.
10
Let g = -1098 + 9871/9. Calculate the common denominator of g and -71/6.
18
Calculate the common denominator of 64/(-3)*(-10)/(120*-1) and 21/2.
18
Suppose -5*b - 37 = -0*q - q, -4*q + 28 = 4*b. Calculate the lowest common multiple of 10 and q.
60
What is the common denominator of (7/714)/((-328)/109 + 3) and 139/18?
306
Let c(y) = -10*y + 1. Let s be c(-3). Suppose 2*j + 39 = b, s = -2*j - 2*b + 1. What is the common denominator of (-16)/6 + 3/j and 14/3?
6
Let o(z) = z**2 - 11*z - 6. Let b be o(13). Let v = 29 - b. Calculate the lowest common multiple of (-1 - -7)/(6/9) and v.
9
Calculate the common denominator of 52*((-1379)/168 - -8) and 89/10.
30
Suppose -3*w + 3*p + 270 = -0*p, -p + 380 = 4*w. Suppose 4*k - 98 = -w. Calculate the lowest common multiple of k and 92.
92
Let c(s) = -14*s + 364. What is the smallest common multiple of 210 and c(25)?
210
Let o(p) = -p**3 - 2*p**2 + 11*p + 6. Let k be o(9). Let g = 13031/2 + -5695. Let q = k + g. Calculate the common denominator of 89/18 and q.
18
Let r be (-2)/6 - (-4)/12. What is the lowest common multiple of 4 and r + 2 - 48/(-6)?
20
Calculate the common denominator of (31/(-93))/((-5)/(-68)*2) and (2/18)/((-3)/(-63)).
15
Let i = 279653/54830 - 2/5483. What is the common denominator of 732/210 + (-1)/5 and i?
70
Let b be 6/(-4) - 14/(-4). Let d = -8 + b. What is the common denominator of (-67)/16 - (-3)/d and -19/22?
176
Let g = 70 - 48. Suppose -2 = 3*h - 8, 0 = 4*n - 2*h - 44. Calculate the smallest common multiple of n and g.
132
Let q(c) = 2*c - 38. Let a be q(21). What is the common denominator of -143/12 and (-46)/(-24)*-3*a/18?
36
Suppose -2*i + 5*i = 48. Let p(a) = 9*a**3 + 2*a**2 - 1. What is the least common multiple of p(1) and i?
80
Suppose 0 = 2*c - 16152 + 3048. Let u = c - 104875/16. What is the common denominator of u and -61/4?
16
Let z be (-1)/(-1 - (-75)/74). Let i = z - -104. Suppose -16*u = -21*u + i. What is the least common multiple of 18 and u?
18
Suppose 167 = -z + 3*z + w, 3*w = 4*z - 349. Let x = -73 + z. What is the least common multiple of 6 and x?
12
Suppose 2*i - 5*f + 6 = -23, f = -5. Let q = -9 - -4. Find the common denominator of -74/9 and 9/i*(-78)/q.
45
Let w(z) = z + 2. Let y be w(-3). Let s = y + 4. Find the common denominator of 6/(-99)*s - -1 and 77/6.
66
Let w = -9865 - -591811/60. Calculate the common denominator of w and -163/210.
420
What is the common denominator of -5 - (-7 + (-340)/72) and -13/102?
306
Let x(t) = -2*t + 1. Let z be x(-8). Suppose 6*u = z + 13. Calculate the lowest common multiple of 11 and u.
55
Let p be (5/(-10))/((-1)/(-24)). Let o(q) = 10*q**3 + 2*q - 1. Calculate the smallest common multiple of o(1) and (p/5)/((-24)/80).
88
Suppose 0 = -4*s + 2 + 14, -5*s + 27920 = 3*w. Suppose -5*u - 1070 - w = 0. Let h = 12293/6 + u. What is the common denominator of h and -16/7?
42
Suppose 2*d - 83 = 36*z - 39*z, -2 = -2*z. Calculate the smallest common multiple of 368 and d.
1840
Let h = 4427/60 + -341/5. Calculate the common denominator of h and 27/1432.
4296
Let a = 574 - 436. What is the lowest common multiple of 14 and a?
966
Let c(k) = -3*k**2 - 3*k. Let a be c(-2). Calculate the least common multiple of (-9 - a)*(-5)/3 and 4.
20
Let d(v) = v**3 - 4. Let c be d(2). What is the common denominator of (c - 52/76) + -1 and -10/11?
209
Let b be 256515/20 + ((-9)/(-4) - 3). Let n = -359181/28 + b. What is the common denominator of -37/4 and n?
28
Find the common denominator of (-160)/(-42) + (0 - -5)/15 and 20.
7
Suppose 8 = -j - j + 2*f, -24 = -4*j - 4*f. Suppose 2*o = 0, v - 7 = 5*o + j. Let q = 30 - v. What is the least common multiple of q and 18?
198
Let b be 42/6 - (-9)/(-3). Suppose 5*h - f = 297, 5*h - b*f - 213 = 75. What is the lowest common multiple of h and 18?
180
Suppose 18*y + 32 = 26*y. Calculate the common denominator of 22/9 and (-12 - 12/y) + (-3)/(-12).
36
Let g(i) = i**2 + 4*i + 3. Let h be g(-2). Let w = 3 + h. What is the smallest common multiple of (56/35)/(1/5) and w?
8
What is the common denominator of -4 + 2964/(-690) + 8 and -89/20?
460
Suppose -2*c + 54 = -26. Calculate the common denominator of (-96)/5*c/36 and (-72)/18*8/3.
3
Suppose -5*u = -r + 20 - 0, 100 = 5*r + u. What is the common denominator of r and -32/69?
69
Suppose 5*o + t + 31 = 5*t, -4*o - 24 = -3*t. Find the common denominator of (-43)/(-2)*(o - -2) and 91/6.
6
Suppose -4*f = -12*f - 24336. Let m = f + 18163/6. Let k = 835/6 - 251/2. Find the common denominator of k and m.
6
Calculate the common denominator of (-1 - 1758/108) + 10 and 27/11.
198
Suppose -4*c - x 