Let i be ((-2)/(-5))/((-2)/(-10)). Suppose 3*n + t = i*v, v + 2*n - 38 = 3*n. What is the least common multiple of v and 18?
306
Let v = 408 - 395. Suppose v*x + 83 = 200. Calculate the least common multiple of 355 and x.
3195
Let s = -104 - -300. Suppose -4*a + s + 16 = 0. Let v = a - 45. What is the least common multiple of v and 11?
88
Let p(n) = n**3 - 21*n**2 - 12*n + 53. Let r be p(21). Calculate the common denominator of -3 - (r/2)/((-305)/(-10)) and 16/11.
671
Let w(v) = 5*v + 8. Let y be w(8). Let n = y + 1. Let s = n - 41. What is the least common multiple of s and 4?
8
Let y = 562 + -555. Calculate the lowest common multiple of y and 3440.
24080
Let w = 112 - 86. Calculate the common denominator of ((-35)/(-16))/(13/(w/(-12))) and -67/14.
672
Let h = -78 - -153. Suppose 110 = -6*j + 17*j. What is the lowest common multiple of j and h?
150
Let i(r) = -15 + 1334*r + 6 + r**2 - 1324*r. Calculate the lowest common multiple of 48 and i(-13).
240
What is the common denominator of -23/93 and (-10)/(-195)*-3 - 6/33228*-449?
13206
Suppose -506*u + 483*u + 11385 = 0. Calculate the smallest common multiple of 132 and u.
1980
Calculate the common denominator of ((-1269)/(-1316))/((-9354)/32) and 99/8.
87304
Let s be 4 + (40/340 - (-98)/34). Calculate the common denominator of 31/11 and ((-175)/s)/(55/10).
11
Let v = -368 + 236. Let q = v - -167. Calculate the least common multiple of 35 and q.
35
Suppose -4 = 3*z + 2, 465 = -v - z. Let r = v - -474. Calculate the least common multiple of 21 and r.
231
Suppose -3*k - 4 - 23 = 5*r, 0 = -4*r - 2*k - 22. What is the common denominator of -4 - (r - 35/(-20)) and -131/150?
300
Suppose -6*r + 4*y - y + 5169 = 0, 4*r = -2*y + 3466. Calculate the lowest common multiple of 594 and r.
9504
Suppose 5*y + 2 + 3 = 0. Let p(f) = f**2 - 155*f + 156. Calculate the lowest common multiple of y*(-2)/((-4)/(-14)) and p(1).
14
Let i = -2134253/4992 - -5559/13. Calculate the common denominator of 73/384 and i.
384
Let p(a) = -2*a + 23. Let h be p(10). Let d = h - -1. Suppose 3*q - 2*r = 7, -d*q - 4*r + 18 = -18. What is the smallest common multiple of q and 6?
30
Let r be (-1359)/630 + 3/(-6)*1. Let z = -1916/945 - r. Find the common denominator of z and 127/36.
108
Find the common denominator of ((-1909)/(-966))/(5/2) and (-2 + 1 + -11)*6/14.
105
Suppose 4*h - 1377 = -0*h + 3*m, -2*h + m + 689 = 0. Let v = 351 - h. Calculate the smallest common multiple of v and 3.
6
Calculate the common denominator of -93*(-1*2 - (-1)/((-66)/(-143))) and 87/784.
784
Suppose 972 = -22*n + 58*n. Suppose -49*k = n*k - 456. Let q(z) = -z**3 - 7*z**2 - 8*z - 7. Calculate the smallest common multiple of q(-6) and k.
30
Let p = 7510 + 16033. Let l be (1 - 1412444/6)*(-2)/(-20). Let y = p + l. Calculate the common denominator of y and -1/7.
210
Let p be ((-30)/(-35))/(30/350). Calculate the common denominator of -47/42 and p/168*(-11)/55.
84
What is the smallest common multiple of 12/27*(-66015)/(-30) and 5?
4890
Let u = 203 - -5378. Let y = u - 134033/24. Calculate the common denominator of y and 61/4.
24
Suppose -4 = -j, 3*f + 3*j - 7476 - 7026 = 0. Let x = 38717/8 - f. What is the common denominator of 74/15 and x?
120
Let l be 2/2 + (25 - (8 - 7)). Suppose -l*s = 4*t - 30*s - 3116, 3*t - 2310 = -3*s. What is the lowest common multiple of 18 and t?
774
Let b(o) = -o**2 - 6*o + 54. Let t be b(0). Let g = t - 47. Calculate the lowest common multiple of g and 67.
469
Suppose 3*h - 58 = 4*w + 30, 2*w + 220 = 7*h. Calculate the smallest common multiple of h and 384.
384
Let i = 1265 - 1260. Suppose 0 = 3*p - 17 + 5. Suppose j - i = p. Calculate the lowest common multiple of 3 and j.
9
Let y(r) = 3*r**2 - 24*r + 16. Let k(m) = -6*m**2 + 48*m - 34. Let a(z) = 2*k(z) + 5*y(z). Calculate the least common multiple of a(8) and 48.
48
Find the common denominator of 6 + (4 - -3) + 930/(-36) + 4 and -137/186.
186
Let a = 2/259049 - -406783/38080203. Find the common denominator of -59/175 and a.
25725
Let j be (-122)/((-30)/5 + 4 + 1). Suppose 34 = -11*t + j. What is the lowest common multiple of 125 and t?
1000
Suppose 35*a - 33*a = 3*n - 2667, n - 2*a = 885. What is the smallest common multiple of 3861 and n?
11583
Suppose 0 = -2*b + 5*l + 578, 188*b - 1144 = 184*b + 4*l. Calculate the lowest common multiple of 1136 and b.
1136
Suppose -277*v + 126 - 104 = -255. What is the smallest common multiple of v and 6710?
6710
Let n = 881799783/14840 - 415943/7. What is the common denominator of -67/16 and n?
4240
Let d = -68709 + 687157/10. Let b be 4/(4 - 2) - 1. Calculate the common denominator of -1 + (b + -2 - 11) and d.
10
What is the least common multiple of 210/22 + -9*(-54)/(-891) and 2991?
8973
Let i(v) = -v**2 + 85*v - 1423. What is the least common multiple of i(58) and 52?
572
Let m be -2 - (-311608)/224*1/444. Let i = -101/111 + m. What is the common denominator of i and -17/154?
1232
Let f = 67 - -4. Calculate the common denominator of 286/(-165)*(-20)/(-6) and (-4)/(-2) - f/2.
18
Let j = -12602 - -12606. Calculate the lowest common multiple of 4928 and j.
4928
Suppose -5*u + 42 = 4*z, -5*z = 6*u - 2*u - 48. Let m = -944 + 947. Calculate the lowest common multiple of z and ((-30)/9 + m)*399/(-19).
56
Let p(q) = -14*q - 101. Suppose 6*j + 73 = 25. Calculate the least common multiple of p(j) and (11/(-2))/((-1)/2).
11
Let b be ((-51)/15)/(12/(-60)). What is the common denominator of (b - -1)*((-207)/135)/(-23) and 32/273?
1365
Let z = -106033/6558 - -2/1093. Let x = 2152047721/54 - 39851024. Let y = x + -1712. Find the common denominator of z and y.
54
Let o = -6402446/171 + 37441. Calculate the common denominator of o and 71/3.
171
Let a = 873194401/792 - 1102518. What is the common denominator of a and 23/360?
3960
Let c(i) = -i**3 + 7*i**2 + 11*i - 22. Let r = -138 + 146. What is the lowest common multiple of c(r) and 293?
586
Calculate the common denominator of -18 - (27 + 218260/(-4816)) and -117/6020.
6020
Suppose -130 = -4*d - d. Let a = 50 - d. Suppose -4*j + 5*t - 66 + 265 = 0, 239 = 4*j + 3*t. What is the lowest common multiple of a and j?
168
Let u = -190 - -230. Let o = 4 + -7. Calculate the least common multiple of (24/u)/(o/(-15)) and 7.
21
Let o(c) = 57*c**3 + 3*c**2 + 69*c - 129. Calculate the smallest common multiple of 342 and o(2).
18126
Let q = -1608 + 1738. Suppose 4*c = 23 - 7. What is the smallest common multiple of q and c?
260
Let r be (5/73)/(-1)*3593/44. Let n = r + 327/73. Find the common denominator of -49/11 and n.
44
Let t = -5337 + 2503051/469. Let z = t + -7955/4221. Calculate the common denominator of 2/2*(-90)/(-22) and z.
99
Let i(u) = u**3 + 10*u**2 - 9*u + 22. Let f be i(-11). What is the smallest common multiple of 35 and (f/1 - -3) + 109 + -72?
280
Calculate the common denominator of 99/700 and (-2)/14 + 9838/1260 + -8.
6300
Let c = -14 + 24. Suppose -4*o + 170 = -t, -2*o - t = 2*t - 92. Suppose -z - 9 = -4*b, -b = -3*z - 15 + o. Calculate the least common multiple of c and z.
110
Calculate the common denominator of -52/69 and ((-98760)/(-3366))/(-10) + 8 + -5.
12903
Let t = -84/2959 + 7300525/23672. Let z = -763981/12 + 63970. Let f = t - z. Find the common denominator of f and -85/36.
72
Let u(k) = 156*k**2 - 18. Let x be u(-4). Let z = x + -1174. Let d = -13053/10 + z. Find the common denominator of d and 5.
10
Suppose 5*b = 9*b + 2*j - 4136, 4148 = 4*b + 4*j. Calculate the lowest common multiple of 4 and b.
4124
Suppose -5*z = -0*z + 4*u - 38624, -3*u = -4*z + 30924. Find the common denominator of -37/3 and (1 + 2)*(-296)/z.
966
Let p = 2/17539 + -859429/157851. What is the common denominator of -14/3009 and p?
9027
Suppose -71*f = -72*f + 27. What is the lowest common multiple of 99 and f?
297
Suppose -36*j = -57149 - 41059. What is the smallest common multiple of j and 12?
8184
Let p be -3 - -1 - (-79 + 1). Calculate the least common multiple of 21 - (-117)/(-52)*4 and (-10)/15 + p/6.
12
Suppose 4189 + 2483 = 9*l - 8169. What is the smallest common multiple of 10 and l?
16490
Find the common denominator of (-495)/(-12150)*(-33)/2 and -5/16.
720
Let d be (-7)/14 - (-1101)/9. Let b = 40541/330 - d. Calculate the common denominator of b and 32/144*(-12)/(-20).
165
Let c be 38 - 3/(0 + -1). Suppose 