e -3088 + 12034 = 142*i. What is the smallest common multiple of 378 and i?
378
Let r(u) = -6*u + 35. Let z be r(7). Calculate the least common multiple of 4 and z + (-820)/(-28) - 2/7.
44
Suppose -13*m + 25 = -12*m. Let o = m + -15. Let x(z) = -z**2 + 11*z + 1. Calculate the lowest common multiple of x(o) and 8.
88
Let r = -6715 + 134409/20. Let h be ((-6)/(-14))/(9/((-28539)/(-24))). Let t = h + -555/8. Calculate the common denominator of t and r.
20
Let j be ((-72)/16)/(12/160). Let i = -504905/86864 - -1/10858. Find the common denominator of 0 - 290/j - 8 and i.
48
Let z = -1229/1045 - -1/55. Let m = 731/57 + z. Find the common denominator of m and 25/68.
204
Let o = -7852635 - -1672614655/213. Let w = 50/71 + o. Calculate the common denominator of (-11330)/(-1848) + 33/(-12) and w.
21
Suppose 351165 = 49*c - 43187. Calculate the lowest common multiple of 12 and c.
24144
What is the common denominator of 13/228 and -8 + (-21)/14*43393/(-7980)?
2280
Suppose -5*h - 3118 + 11038 = 0. Let p = -34203/19789 + 2/1799. Calculate the common denominator of h/160*10/(-4) and p.
44
Let q(p) = -6*p - 6. Let l be q(-16). Let r(b) = 3*b + 1. Calculate the smallest common multiple of (-1 - 0)/(-3*10/l) and r(1).
12
Let c = -357481/7824 - -2203/48. Calculate the common denominator of c and 22/9.
2934
Let o be (-20)/16 - (-1245839)/(-420). Let s = o - -2972. What is the common denominator of s and 31/55?
165
Let f = 393/46 - 101461/11822. Let v = -28427/2570 + f. Find the common denominator of v and -73/44.
220
Let l(o) = 235*o**2 + 53*o - 128. Calculate the smallest common multiple of 144 and l(2).
7344
Suppose 0 = 32*l - 4353 + 545. Calculate the common denominator of (l/448)/(30/72) and 49/44.
880
Suppose -5*s + 2636 = 2546. What is the lowest common multiple of s and 1208?
10872
Let o = -36 - -8. Suppose -5*d - 2*g + g = -34, 12 = 4*d - 3*g. What is the smallest common multiple of (60/(-21))/(o/294) and d?
30
Let a(z) = z**3 + 20*z**2 - z - 13. Let p be a(-20). Let l = 37 - p. Calculate the least common multiple of 15 and l.
30
Let s(x) = 2*x + 0*x + 18 - x - 2*x**2 + x**2. Let i be s(0). Suppose 3*y + 1 = 5*n - i, 2*y + 16 = 5*n. Calculate the least common multiple of n and 3.
6
Let q = -140239 + 706353/5. Let p = q + -1035. Find the common denominator of p and -21/20.
20
What is the common denominator of ((-336)/96)/(27858/(-36)) and -35/8?
37144
Let y(o) = 20 + 6*o - 50 - 39. Calculate the least common multiple of y(24) and 24.
600
Suppose 0 = 4*a - 2 - 910. Suppose -107 = -o - 109, -2*o = p. What is the least common multiple of p and a?
228
Let v = 175 - 171. Calculate the common denominator of 2 - (-2 - 113/(-22)) and v + ((326/(-152))/1 - 3).
836
Let p = 10508/301 - 6633085/189931. Calculate the common denominator of p and 20/4417.
4417
Let c(q) = 36*q**2 - 4*q + 18. Let p be c(3). Suppose -6*b + p = 5*b. What is the least common multiple of b and 45?
90
Suppose v = -7*n + 4*n + 14, -2*v = 4*n - 22. Let s(u) = -4 - 10*u - v*u + 4 + 2*u**2. Calculate the smallest common multiple of 7 and s(8).
56
Suppose -5*x + 4*c - 283 = -5, x - c + 56 = 0. Let t = -26 - x. Suppose 2*j = 2*f + t, 5*f - 90 = -5*j - 0*f. What is the lowest common multiple of j and 16?
16
Suppose 2*c + 232 = 5*y + 192, 8*c + 10 = -5*y. What is the lowest common multiple of 134 and y?
402
What is the common denominator of (300/1152)/(-25)*(-1 + 118/(-310)) and -169/2640?
81840
Suppose 68*i - 28544 = 14*i - 6512. Calculate the least common multiple of i and 54.
3672
Let q = 1114 + -1102. Calculate the lowest common multiple of q and 1.
12
Suppose -52*q + 62*q - 60 = 0. Suppose q*n - 193 = -133. What is the least common multiple of n and 16?
80
Let r = -49/3 - -21. Let b(t) = -t - 24. Let j be b(-12). Calculate the common denominator of r and (-358)/(-80) - ((-252)/35)/j.
24
Suppose 107*k - 175*k + 15912 = 0. What is the least common multiple of k and 858?
2574
Suppose 52*f = 51*f - 34. Let l = f - -21. What is the common denominator of l/(-2) - 13/((-117)/(-36)) and -53/8?
8
Let a = 3232/369 - 3363607/103320. Let f be 4/(-10) + (-176)/(-14). Let s = f + a. Calculate the common denominator of -47/8 and s.
8
Suppose -3*g = 5*x + 141 - 175, g + 5*x = 18. What is the least common multiple of g and 2334?
9336
Let b = 7627 - 121977/16. Let y be -1 + 1 + 1/((-7)/70). What is the common denominator of -2 + 2667/180 + 4/y and b?
48
Let x be (-4)/(12/(-3)) + 1154. Find the common denominator of -17/123 and (-1)/5 + (-11)/(x/274).
861
Suppose 9 = 3*o - 5*w - 41, -4 = 4*w. Let i = -1737 - -591. What is the smallest common multiple of o and i/(-54) + (-2)/9?
105
Let w = 3845 - 1471. Let g = 10586323 + -349270234/33. Let d = w - g. Find the common denominator of d and 31/9.
99
Let u be 12 + -13 + 10*(-41)/(-2). Let c = 214 - u. Calculate the least common multiple of 10 and c.
10
What is the smallest common multiple of 5 and (-1 + 18/8)/((-117)/(-5148))?
55
Let v = -2/33857 - -44928245/101571. Let u = 433 - v. Calculate the common denominator of u and 43/27.
27
Let p(x) = 2*x**2 - x - 90. Suppose -3*g + 50 = -2*g. Calculate the lowest common multiple of p(8) and g.
150
Let s = 26 - 59. Let f = s - -48. Calculate the smallest common multiple of (-2)/11 + (-8372)/(-308) and f.
135
Let q = -2238 + 2400. What is the smallest common multiple of q and 72?
648
Let z = -13976 + 6568. Let c = z + 155510/21. Find the common denominator of c and 4/(-10) - 212/270.
189
Suppose 3*u = 4*g - 3 + 116, 5 = -g. Suppose 336 = u*t - 501. What is the lowest common multiple of 30 and t?
270
Let g = 1923/2 - 974. What is the common denominator of ((-91)/126)/(2/(-33)) and g?
12
Let z = 30 + -27. Suppose 5*q - 41 = -16, -4*q + 38 = z*c. Suppose -51*m = -44*m - 14. Calculate the lowest common multiple of c and m.
6
Let h = 31 + -47. Calculate the common denominator of 4/56*4 - (-438)/231 and (-14)/(-88) - (-4)/h.
11
Let o(n) = -n**2 - 14*n + 748. Calculate the lowest common multiple of o(19) and 495.
5445
Let y = -2849 + 62659/22. Calculate the common denominator of 35760/(-47520) + (-4)/(-18) and y.
66
Let l be (-5 + 9)*((-5)/(-10) + -1). Let o = -207509/11319 - 2/3773. Find the common denominator of o and (450/(-12) + 0)*l/(-16).
48
Let p(h) = -4*h + 24. Let l be p(5). What is the common denominator of -57/28 and 5037/(-1380)*(-2)/l?
280
Suppose -4*x + 6*x + 175 = 5*v, 0 = 24*x. What is the lowest common multiple of 476 and v?
2380
Let m(p) = 3*p + 27. Let z be m(-18). Let i = z + 23. What is the least common multiple of (-22)/(-8)*6*i/(-6) and 3?
33
Let i be ((-1500)/(-24))/25*(0 - -20). Suppose -4*p = -5*p + 18. Calculate the smallest common multiple of ((-225)/i)/(2 + 23/(-10)) and p.
90
Suppose -18*j - 52585 = -5011. Let k = 21177/8 + j. Calculate the common denominator of k and 69/14.
56
Let w = -28 + -84. Let s = 313 - w. Let t = 11053/26 - s. Calculate the common denominator of -37/8 and t.
104
Let d(v) = 22*v**2. Suppose 575 = -22*g - 1427. Let f = g - -111. Calculate the lowest common multiple of f and d(-1).
220
Calculate the smallest common multiple of 4920 and 4*((-6479)/(-1254) + (-2)/6*5).
34440
Let o = 1270508 + -1252720997/986. Find the common denominator of -29/10 and o.
4930
Let w be (-48)/(-168) + (2 - (-142)/(-7)). Find the common denominator of -2 - 0 - w/144 and -13/6.
24
Let r = 55117/68 + -811. Suppose 3*i = -g + 4*g - 9, 4*g - 2 = -i. Calculate the common denominator of r and g.
68
Let v be ((-55203)/2*8/(-12))/1. Let r = -127292/7 + v. Let k = -215 + r. Find the common denominator of 18 and k.
7
What is the common denominator of 103/21 - (23 + (2 - 19)) and (-4)/(-3)*55/12?
63
Find the common denominator of (-5)/25*(-4 + 138/36) and (7/56)/(5/(-2)).
60
Suppose q = 5*v + 740, 4*q - 62 = 2*v + 216. Let g = v + 164. Calculate the smallest common multiple of 12 and g.
60
Let i(r) = -r**3 - 18*r**2 + 19*r + 21. Let z be i(-19). Calculate the smallest common multiple of 3*98/z*6/4 and 15.
105
Suppose 5 - 96 = -l + 3*z, 0 = -3*l - 3*z + 189. Let c(j) = 42*j**2. What is the least common multiple of l and c(1)?
210
Let w = -23831 + 24117. Calculate the lowest common multiple of w and (-6)/(-2) + 30/5.
2574
Suppose -3*n + 17 + 7 = 0. Let d(i) = -3*i - 64. Let f(v) = -6*v - 129. Let w(r) = -7*d(r) + 3*