k = 5 + -5. Let h = 1613 - 20987/13. Calculate the common denominator of h and (-111)/18 - (2 + k).
78
Let q(r) = r**2 - r - 5. Let p be (-9 + 9)/(1*2). Suppose 5*n + 8 + 7 = p. Calculate the least common multiple of 2 and q(n).
14
Suppose 10 = 2*h - i, h + h + 6 = 5*i. Let n = h - 11. Let o(u) = -u**2 - 6*u + 2. What is the least common multiple of o(n) and 2?
10
Suppose 6*b = b + 2*c + 25, -4*b + 13 = -3*c. Let h(u) = 5*u - 11. Calculate the smallest common multiple of b and h(3).
28
Let d(a) = -2*a - 2. Let t(x) = -3*x - 4. Let y(f) = 5*d(f) - 3*t(f). Let c be y(-16). Suppose c + 22 = 5*g. What is the lowest common multiple of g and 2?
8
Let x(s) = 2*s + 4. Let v be x(-4). Calculate the common denominator of 1*1/v*19 and (-4 + (-637)/42)*(-12)/20.
4
What is the smallest common multiple of (2*249/(-18))/((-17)/51) and 4?
332
Let w = 297/5 - 1363/20. Suppose 0 = r + 5*r + 18. Find the common denominator of ((-548)/(-144) - 3)*r and w.
12
Let v = -119/44 - -147/88. Calculate the common denominator of v and 7/456.
5016
Let z(t) = t**2 - 2*t - 168. Calculate the lowest common multiple of 48 and z(-16).
240
Suppose -5*x + 253 = -0*x - 2*l, -5*x = -l - 249. Calculate the smallest common multiple of 14 and x.
98
What is the least common multiple of 8 and 1080/4 - (6 + -17 + 5)?
552
Let o(f) = -2*f - 1. Let b be o(1). Calculate the common denominator of ((-322)/b)/(-7) - 4 and -40/13.
39
Let s = -6 - -6. Suppose s = 3*z + 2*z - 10325. Let h = 12419/6 - z. Calculate the common denominator of -53/8 and h.
24
Let s(o) = 13*o**2 - 2*o + 1. Suppose b = -11*h + 10*h + 11, 0 = -3*b + 4*h + 12. Calculate the smallest common multiple of s(1) and b.
24
Let z(y) = -y**2 + y - 1. Let u be z(5). Let l = u - -17. Let x = 13 + l. Calculate the smallest common multiple of 9 and x.
9
Let f = -23641/110 - -2418/11. Let t(d) = -20*d - 9. Let h be t(-6). Find the common denominator of h/(-6) - 4/(-6) and f.
30
Let l = 44 + -24. Let a = -71 + 129. What is the least common multiple of a and l?
580
Let u = 59 - 48. Let y = 19 - u. Calculate the lowest common multiple of 7 and y.
56
Let m(x) = -6*x - 52. What is the smallest common multiple of 12 and m(-11)?
84
Let a(l) = 13*l**3 + l**2. Let u be a(-1). Suppose 10 = -2*o, -4*w = -7*w + 3*o. Let i = w - u. What is the least common multiple of i and 6?
42
Let l be ((-334)/(-1628))/(9/279). Let k = l - 348/37. Calculate the common denominator of (-251)/60 - 120/(-90) and k.
220
Let i = 6 - 4. Let k = -317 - -328. What is the lowest common multiple of k and i?
22
Let n(t) = 6*t**2 + 66*t - 29. What is the least common multiple of n(-16) and 410?
4510
Calculate the common denominator of (58/22)/(16 - 14) and 65/22.
22
Suppose 789*b - 787*b = 20. Calculate the smallest common multiple of b and 496.
2480
Suppose 0 = 4*g - 20, -2*f - 2*g - 9 + 107 = 0. Calculate the common denominator of f and ((-2)/30*-6)/(32/(-90)).
8
Let i(z) = -26*z + 354. Calculate the smallest common multiple of i(13) and 660.
2640
Suppose 0 = 5*u + 16*u - 336. Calculate the lowest common multiple of 64 and u.
64
Suppose -2*a = 2*h + 2, 5*h + a + 3*a = -2. Let y(t) = t**3 + 39*t**2 - 82*t + 7. What is the smallest common multiple of h and y(-41)?
14
Let u be 307788/58752 - (1 + -1). Let t = -9/544 + u. Find the common denominator of t and 12.
9
What is the lowest common multiple of 176 and 6/(-9)*(-9 + 0) - -104?
880
Suppose 2*c - 1 = 5*a - 9, 5*c + 5 = 5*a. Calculate the lowest common multiple of c and 20.
20
Suppose -5*k + 10*k + 187 = 4*a, 237 = 5*a - 3*k. Calculate the lowest common multiple of 24 and a.
48
Let y be 656969/(-60) + 9/(-15) + 1. Let j = 10937 + y. What is the common denominator of j and -29/21?
84
Suppose -4*r + 1 + 39 = 4*w, 0 = 4*r - 5*w - 4. Calculate the lowest common multiple of r and 1260.
1260
Let l = 2/4117 - 465247/53521. Let r = l - -1957/104. Calculate the common denominator of r and -15/28.
56
Let v = 1 + 0. Let o = -250 - -252. Calculate the lowest common multiple of 5 + (-2 + v - -2) and o.
6
Let f(u) = 4*u - 12. Let z be f(3). Suppose 0 = -4*g + j - z*j + 77, -66 = -3*g - 2*j. Calculate the least common multiple of 144 and g.
720
Calculate the common denominator of -53/40 and (27*(-18)/84)/1.
280
What is the common denominator of 4 + (-8)/296*(-1 - -198) and 85/8?
296
Suppose 1 = -p - m, -5*p + 8*p + 9 = -5*m. Calculate the smallest common multiple of p/(-8)*(2 - 10) and 16.
16
Suppose -2*q + 81 = 61. Let c be (-3)/((-21)/12 - -1). Suppose 44 = -2*g + c*g. What is the lowest common multiple of g and q?
110
Let n = 21 - 15. Let w be -3 - 0 - (0 + -1). What is the common denominator of ((-13)/10)/(w/n) and -79/26?
130
Calculate the common denominator of -17/16 and (-1067)/(-99)*(-27)/18.
48
Suppose -5*a + 4*m + 79 = 0, 19 = 3*a - 2*a - 4*m. Calculate the smallest common multiple of ((-70)/25)/((-6)/a) and 4.
28
Let y = -4851/10 + 495. Calculate the common denominator of y and (5/(-4))/((-275)/90 - -3).
10
Let o be (9/1818)/(1/(-18)). Let s = 10093/1212 - o. Calculate the common denominator of s and 137/(-14) - (-2 + 0).
84
Let u be (-12)/(-10)*(-9 - -14). Suppose -u*m + m = -10. What is the smallest common multiple of (-158)/(-14) - 8/28 and m?
22
Let o = 5119947/110 + -46546. What is the common denominator of 31/20 and o?
220
Let c(f) = -f + 47. What is the smallest common multiple of c(-13) and 10?
60
Let m = -24 - -30. Find the common denominator of 69/8 and ((-110)/(-11))/(-1 - (m - 0)).
56
Let h = -89/2 + 40. Let x = -10491/28 - -29011/84. Let v = x - -80/3. What is the common denominator of h and v?
14
Let g be (7/7)/(2/240). Calculate the common denominator of -4 + (g/(-33))/5 and -1/44.
44
Calculate the common denominator of 13/65 + 46*13/160 and 22/(-32) + (-24)/(-32).
16
Let k(t) = -4*t - 1. Let s(f) = 199*f - 164. What is the lowest common multiple of s(1) and k(-4)?
105
Let y = -4/89 + 11149/534. Let l = -755 + 11377/15. What is the common denominator of l and y?
30
Suppose -5*b = 0, 3*y - 4*b - 15 = -0. Let d = 13 + -4. Suppose d = 2*u + u. What is the smallest common multiple of y and u?
15
Let t(d) = -d**3 + 6*d**2 - 7. Let i be t(6). Let h = -5 - i. Suppose p + 22 = 3*p. Calculate the lowest common multiple of p and h.
22
Let p = -98 - -107. What is the smallest common multiple of (2 + -1)*12/2 and (18/10 + -1)*(1 + p)?
24
Let s = 4/263 + -42351/526. Let r = -87 - s. Let z = -2246/3 - -1475/2. Calculate the common denominator of z and r.
6
Let d = -28883/144 - -1754/9. Let b be (1/3)/((-2)/(-12)). What is the common denominator of d and (-218)/24*b/(-3)?
144
Let q be (5450/(-15))/(8/(-12) + 1). Calculate the common denominator of -21/20 and q/(-105)*21/36.
180
Suppose 4*u - 4*o = 57 + 3, 60 = 4*u - 3*o. Calculate the least common multiple of u and 9 + (2 + 0 - 2).
45
Suppose -m - 4*m = -45. Suppose -13*u - 117*u + 2890 = 159*u. What is the lowest common multiple of m and u?
90
Suppose 0*b - 7 = b. Let c(s) = -s**2 - 9*s + 4. Let q be c(b). Find the common denominator of ((-27)/(-30))/(q/(-51)) and 115/6.
60
Let m = -2/851 + -70609/10212. Find the common denominator of m and 5/44.
132
Let i = 23594/15 - 1571. Find the common denominator of i and 56/267.
1335
Calculate the common denominator of 3/444*5/(15/213) and 77/4.
148
Suppose -2*t + 11 = -g, 5*g - t - t = -63. Suppose 2*z - 33 = 3*a - 2*a, -z - a = -24. Let x = g + z. What is the lowest common multiple of x and 5?
30
Let r be ((-20)/5)/((-1)/(-2)). What is the common denominator of (-2 - 46/r)*-1 and 78/(-20) + -4*5/(-10)?
20
Let y = 3/85 + -6121/4845. Find the common denominator of y and -5/57.
57
Let y = -546/17 + 1555/68. Find the common denominator of y and -55/52.
52
Suppose 0 = -5*f + 92 - 12. Calculate the lowest common multiple of f and 25 + ((9 + -9)*5/10 - 5).
80
Suppose -2*k + 36 = -d, 83 = 5*k + 5*d - 37. Let w(a) = -17*a - 169. Calculate the lowest common multiple of k and w(-11).
180
Suppose -5*b = -39 - 6. Suppose -5*g - b = p, -g = p - 2*p + 15. What is the smallest common multiple of ((-2)/12)/(-4 + 6*1169/1764) and p?
77
Let a(n) = -3*n - 6. Let i(r) = -2*r + 3. Suppose 8 + 4 = 3*b. Let x be i(b). Calculate the smallest common multiple of a(x) and 9.
9
Suppose -3*b + 39 = -0*u - u, 4*b = 4*u + 60. What is the least common multiple of