x + 9. Let k be f(-6). Let q be k - (-5)/((-15)/6). Let t = 73 - q. What is the least common multiple of 56 and t?
168
Let y = 56354 + -56322. Suppose -4*f = -d + 16, 2*d - 21 = -5*f + 24. What is the lowest common multiple of d and y?
160
Let t = 24 + -28. What is the smallest common multiple of (16/(-24))/(t/6) and 11 + (0/(-8 - -6))/(-2)?
11
Let i = 9615661/126 - 76314. Find the common denominator of i and 89/504.
504
Suppose -15 = l - 5*x - 0*x, 3*x - 25 = -l. Find the common denominator of -173/120 and (-7)/(14/175*l).
120
Calculate the common denominator of -7/120 and 3/(-33) - 33/(297297/11050).
2520
Suppose 16*n - 11837 = 44051. What is the lowest common multiple of 1996 and n?
13972
Let g = 73 + -38. Let l = 135 - 126. What is the lowest common multiple of l and g + (4 - 0/3)?
117
Let d = -4343/4608954 + -4/2403. Find the common denominator of d and 53/8.
7672
Let d(u) = 2*u**2 + 128*u + 2316. Calculate the least common multiple of 1105 and d(-26).
4420
Let h = -865 + 1472. Let z = h - 20024/33. Calculate the common denominator of z and 5/354.
3894
Let i = -269411/18 - -14962. Let x = -5858/5 + 58617/50. Find the common denominator of i and x.
450
Let x = -52679 + 3160781/60. What is the common denominator of x and ((-2)/24)/(1/31)?
60
Suppose -31*c + 121269 = 24*c - 346671. What is the smallest common multiple of c and 8?
17016
Suppose 100*j - 101*j + 1 = 5*c, 0 = c + 3*j + 11. What is the least common multiple of 1 and c?
1
Let p = 75 - 19. Let l = 21 - p. What is the common denominator of l/28*89/5 and 39/10?
20
Suppose 4*j + 142 = 6*j - 2*g, 0 = -2*g - 8. Calculate the smallest common multiple of 4 and j.
268
Let m be (4/(48/39))/(2/368). Suppose -338 = -9*f + m. What is the least common multiple of 2168/f + 4/26 and 24?
168
Let b(r) = 73*r + 4250. Suppose -2*u + 2*v = u - 3, 5*u = 5*v. Calculate the lowest common multiple of b(-58) and u.
48
Let o = -7193381/2585352 + 354/9793. Let q = o + -61/132. What is the common denominator of q and 47/54?
216
Let c(q) = -157*q**2 + 3*q + 3. Let p be c(-2). Let r = p + 1051. Calculate the common denominator of 117/20 and 3/21 + 339/r.
20
Find the common denominator of ((-60)/40)/((-2340)/155) and 1/78.
312
Let b = -18 - -14. Let k be 30/b*((-12)/5)/1. Suppose 6*m = -3*m + k. What is the least common multiple of m and 9?
18
What is the common denominator of (2/(-5))/((-306)/(-960)) and 9 - (-895)/(-1080)*8?
459
Suppose -20 = 5*a + 2*b, 3*a + 1 = -10*b + 11*b. What is the common denominator of 109/14 and (97/a*2)/16?
112
Let m = -1458 + 1478. Suppose 0 = 4*o, j - 29 - 585 = -4*o. Calculate the least common multiple of j and m.
6140
Let l(d) = -3 - 3*d - 1 + 6 + d**2. Let h be l(10). Suppose 0 = -u + 5*u - h. What is the least common multiple of u and 16?
144
What is the common denominator of -67/198 and (-1)/396*(3248/87 - 10)?
594
Calculate the smallest common multiple of 1343 and 2 - (1 - 5*3/15).
2686
Let m be ((-8)/18 - 75/135)*120. What is the common denominator of 101/78 and (513/m)/((-54)/72)?
390
Let a = 103 + -107. What is the common denominator of 0/4 - (-25)/7 and ((-6)/4)/(3/a) + 13?
7
Let g be (-15)/(-40) + 314/16. Suppose -d + 40 = 2*n, 2*d + g = -3*d. Suppose a + 20 = 3*a. Calculate the lowest common multiple of n and a.
110
Suppose -87*x = -158*x + 1704. What is the least common multiple of 5523 and x?
44184
Let j = -11975336 - -215740199/18. Let p = j + -10238. Let x = 497467/27 + -18422. What is the common denominator of x and p?
54
Let l = -2/2509 - 122911/37635. What is the common denominator of l and -2 + 1066/60 - (49 - 27)?
30
Let i = -14688 + 14696. What is the lowest common multiple of 4 and i?
8
Let w = 12213 + -11502. Calculate the smallest common multiple of 9 and w.
711
Let u = 13/5 - 101/35. Find the common denominator of (-12)/(-18)*-2 + 16 and u.
21
Let o be (44/340)/(5/10). Let h = 1287/1360 - o. Let a = -556 - -6559/12. Find the common denominator of h and a.
48
Calculate the common denominator of 2255/984 + (-28)/(-8) and 127/582.
2328
Let c be (-1)/(-9) - (-1)/(-9). Suppose c = 21*w - 471 - 54. Calculate the lowest common multiple of 5 and w.
25
Calculate the common denominator of (62550/(-168))/15*4/30 and 101/3066.
3066
Suppose 13132*y = 13139*y - 18172. What is the smallest common multiple of y and 2596?
2596
Suppose 16*q = 17*q - 184. Suppose -2*s = 2*s - q. Let n = s - 27. Calculate the lowest common multiple of n and 4.
76
Let l(t) = -3*t**2 + 5*t + 2. Let h be l(2). Suppose h = 2*f - 10, 3*f - 2*f = 3*r + 86. Let o = 31 + r. What is the smallest common multiple of 14 and o?
28
Suppose 22445 = 56*d + 5757. Calculate the smallest common multiple of d and 2980.
2980
Let w = -3894 + 3912. Calculate the least common multiple of w and 48.
144
Let i be 1 + 25/4 - (-189)/252. Suppose 0 = -i*n + 74 + 70. What is the smallest common multiple of n and 2?
18
Let l = 64 - 68. What is the common denominator of 1/6*(7 - -150) + l and 7/75?
150
Let z = 937/44 - -5/11. What is the common denominator of z and (-634)/(-96) - 4/6?
16
Calculate the common denominator of (-285)/48 + ((-1270)/80 - -16) and 68/141.
2256
Suppose -20*u = -8*u. Let y = -99530/3 - -12341617/372. What is the common denominator of y and (-34 - u)/(168/(-30))?
2604
What is the common denominator of -61/24 and (-2)/7 - (-71553)/(-112728)?
264
Suppose -628*n - 395283 + 1431469 + 2002078 = 0. Calculate the lowest common multiple of n and 1.
4838
Let n = 45401 + -2179385/48. Let i(z) = 2*z**3 - 2*z**2 - z - 7. Let o be i(-3). Calculate the common denominator of n and ((-8)/64)/(2/o).
48
Let q(d) = -3*d**2 + 46*d - 17. Let x be q(15). Let y be (-3 + 2)/((-1)/(-3)). What is the common denominator of (y + 140/45)*x and -35/9?
9
Let j = -528 + 708. Suppose 8*x - x = 84. Calculate the least common multiple of j and x.
180
Let o be ((-3)/(-6))/((-2)/(-28)). Let m = 18 - o. What is the lowest common multiple of 6/(-16) + 637/56 - 0 and m?
11
What is the common denominator of 58/615 and (-548)/2055*(1 - 105/82)?
615
Let y(v) = 52*v**2 - 5*v - 28. Suppose 8*p + 57 = 9. Let q be y(p). Let m = -7429/4 + q. Calculate the common denominator of 43/18 and m.
36
Suppose -764 = -4*l - 4*y, -l - 102 + 289 = 5*y. What is the smallest common multiple of 18 and l?
576
Let w be ((-5)/(-20)*(8 + 0))/(-1). What is the common denominator of 16/40 + (-1465)/1050*w and -23/84?
84
Suppose -9*p = -3*p + 192. Let i = p + 33. Let j(r) = 4*r + 74. Calculate the smallest common multiple of i and j(-16).
10
Let m be 10/(-12)*1222/10. Let d = 2507/24 + m. Let s = 393/23 + -5609/230. What is the common denominator of s and d?
40
Suppose -31*k + 11*k + 122682 = 3*k. What is the lowest common multiple of k and 4?
10668
Let h(t) = 6*t**2 + 52*t - 405. Calculate the least common multiple of h(-18) and 9.
603
Suppose 2*u + 57 = 5*z, -2*u + 0*z - 63 = z. Let q = -16 - u. Find the common denominator of (-12)/30 + (-96)/q and 3/25.
25
Calculate the common denominator of (168/(-80) + 7)*8*7/84 and 1/1450.
4350
Let d be 0 - ((-167449)/(-5525))/(1256/(-230)). Let i = d - -2/34697. Let h = 5628/17 - 125567/374. Calculate the common denominator of i and h.
220
Let y be (9/(-1) + -1)*297/66. Calculate the lowest common multiple of y/(-6)*(2 + -4)*-1 and 21.
105
Let i = 5958 + -3800. What is the common denominator of (97/10)/(36/(-15)) and ((-6)/4)/(78/i)?
24
Let a be 1 - (110 + -2)*774/336. Let z = a - -1472/7. Calculate the common denominator of z and 31/14.
14
Suppose -288 = -4*y - 4*p, 488*y - 490*y + 144 = -4*p. Calculate the lowest common multiple of 396 and y.
792
Let t = -4338 - -117104/27. Suppose -3*u - 10 + 1 = 0. What is the common denominator of t and ((-981)/(-30))/u*4/12?
270
Suppose -11*b + 36 = 4*n - 6*b, n = -4*b + 20. Suppose 0 = t - n*u - 63, 4*u - 2*u = t - 55. What is the common denominator of t and 17/5?
5
Suppose -6*y = 61*y - 17867 - 10742. What is the least common multiple of y and 427?
427
Let z = -15 + 19. Suppose -2*u - 78 = -z*u. Find the common denominator of 1/(-3) + u/(-6) and -53/44.
132
Let h = -4 + 7. Suppose -z - 18 = -h*z. Let w = 39 + -33. What is the lowest common multiple of w and z?
18
Let m = 1592342/10395 + -41680/297. Let h = m - 96/77. Let q = -747/217 + 3/217. Find the common denominator of h and q.
3