q) + (-3144)/384.
112
Let p = -1030423 + 3897059727/3782. What is the common denominator of p and -55/2?
3782
Let s = -37947/4 + 9574. Let p = s - 419/4. Let r = 455041/163338 + -2/11667. What is the common denominator of r and p?
14
Suppose -21*t = -68*t + 30389 - 9521. What is the lowest common multiple of t and 1332?
1332
Find the common denominator of (-18)/120*1645/(-504) and 107/192.
192
Let j(n) = -14*n**2 + 8*n + 47. Calculate the least common multiple of 3076 and j(2).
21532
Let i be -14*(-9)/18 + (-1 - -4). Find the common denominator of -87/32 and ((-2)/(-60))/(i/275).
96
Let v(p) = -39*p - 2. Let f(k) = k**3 - 70*k**2 + 396*k - 754. Calculate the lowest common multiple of f(64) and v(-4).
154
Let m = 1360192451065913187/15155 + -89752058759136. Let a = m - 37691. Let w = -1166947/90930 + a. Calculate the common denominator of -79/15 and w.
30
Suppose -2*s = -o - 6, 64*o - 63*o = -2*s + 6. Calculate the lowest common multiple of s and 384.
384
Let a(n) = -n**3 - 19*n**2 + 19*n - 13. Let g be a(-20). Suppose -g*p + 2*p = -20. Find the common denominator of -26/11 and p - 3 - 95/145.
319
Suppose 0 = 5*i, i - 5 = -o + 4. Calculate the smallest common multiple of ((-60)/o)/(3/63*-1) and 8.
280
Let d(g) = 2*g + 1. Let o be d(4). Calculate the common denominator of 641/72 + 2/o and -5 - 3/(84/(-356)).
56
Let b be 12/42 + 334/(-14)*-2. Calculate the least common multiple of (2*(-3)/24)/((-4)/b) and 0 - (3 + -2) - -37.
36
Let u = -2598 + 23386/9. Find the common denominator of u and -51/197.
1773
Let i = 711 - 612. Suppose -64*z - i = -67*z. What is the smallest common multiple of 44 and z?
132
Suppose 0 = 12*r + 727 - 6943. Let v = 50/207 - -3389/9108. Find the common denominator of r/240 - 9/27 and v.
440
Let t = 468 - 3295/7. Suppose 26*u - 25*u - 73 = 0. Find the common denominator of 0/1 + (u/(-2) - -2) and t.
14
Calculate the common denominator of -79/646 and (-66)/(-20)*(-650)/(-234).
1938
Suppose -4*i + 15*i + 660 = 0. Let a be (-1 - i/52) + 454236/234. Let c = a + -128407/66. What is the common denominator of c and -53/16?
176
Let m be 1*(0 + (2625 - -2)). Let r = 26181/10 - m. Calculate the common denominator of 285/(-72) + 1/(-4) and r.
120
Let o(n) = 36*n - 680. Let y = 15 + 9. What is the least common multiple of y and o(19)?
24
Let b(h) = h**3 + 9*h**2 - h - 13. Let n be b(-9). Let x be 3/(-1) + (n - -7). Suppose x = -6*z + 89 - 5. What is the least common multiple of 1 and z?
14
Let w = -814 + 232. Let u = 3493/6 + w. Find the common denominator of 91/15 and u.
30
Find the common denominator of (2/72)/(3/(-34)) and ((-38)/(-36))/((-1456)/156).
1512
Suppose -6*c = c - 28042. Let n = c - 31985/8. Let k = 169 + -2673/16. What is the common denominator of n and k?
16
Let c = 7249640/543 - 13351. What is the common denominator of -13/362 and c?
1086
Let d = -81 - -39. Let g be (109/d)/((-18)/(-20) + -1). Let n = g - 72/7. What is the common denominator of 31/2 and n?
6
Let k = 28989 - 1130639/39. What is the common denominator of -37/117 and k?
117
Let b(o) = 63*o - 78. What is the least common multiple of 237 and b(2)?
3792
Let g(c) = 2*c**2 - 73*c - 708. What is the lowest common multiple of 8920 and g(-8)?
8920
Suppose 9*d = 4*d + 135. Calculate the smallest common multiple of ((-152)/(-57))/(((-8)/d)/(-4)) and 60.
180
Suppose 66 + 110 = -16*b. Calculate the lowest common multiple of 63 and (-32)/b - 5/(-55).
63
Let k = 17 + -10. Suppose -8 = -3*b + 3*l + 7, l = -2*b + k. Suppose b*m = 20 + 4. What is the lowest common multiple of 1 and m?
6
Let q = -33418982/531 - -62936. What is the common denominator of 1/9 and q?
531
Let o(a) = a**3 + 88*a**2 - 6*a - 500. What is the least common multiple of 572 and o(-88)?
4004
Let x = -420212 - -182792302/435. Find the common denominator of 17/435 and x.
435
Let q = 12026 + -8875177/738. Calculate the common denominator of q and -5/2091.
12546
Suppose p + 40 = 37. Let f be p/2*(-80)/(-30). What is the least common multiple of f/6 - 90/(-54) and 1?
1
Let d(t) = 2*t**2 - 70*t - 309. What is the least common multiple of d(-4) and 6 + (0/(-3))/(-3)?
6
Suppose -4*x - 8 = -24. Suppose 2*b - x = 8. Let w(u) = 33*u - 158. Calculate the least common multiple of b and w(5).
42
Let a(b) = -2*b**3 + 30*b**2 + 3*b + 17. Let q be a(15). What is the common denominator of -1 - 3 - q/992 and 7/218?
1744
Let v(h) = -h**3 - 18*h**2 + 14*h - 25. Let i be v(-19). Let r = i - 66. What is the least common multiple of 24 and r?
24
Let x = 205 + -215. Calculate the least common multiple of x/5 - 2 - (-56 + 2) and 25.
50
Let a be (-92)/(-5) + ((-32)/20)/4. What is the common denominator of (154/112)/((-5)/a) and 69/188?
940
Suppose -15*j + 2054 = -3436. What is the lowest common multiple of j and 9?
1098
Suppose 811 = -13*y + 4*y + 2161. Calculate the least common multiple of y and 1950.
1950
Let f = -34870 + 6276577/180. Calculate the common denominator of 37/72 and f.
360
Let v = -66/295 + 64253/288510. Let x = 1417526548696/277286678847 - -1/378032282. Let j = x + v. Find the common denominator of -58/7 and j.
63
Let v = 67 + -18. Let g = v - 45. Suppose 0 = -i + g*z - 2, -5*i + 2*z + 38 = 6*z. Calculate the smallest common multiple of i and 12.
12
Let j = 4422/829 - 2/2487. Calculate the common denominator of 29/280 and j.
840
Suppose -d - 30 = -27. Find the common denominator of 107/40 and d*(-5)/(-10) + 735/56.
40
What is the common denominator of -7/82 and (-9925)/8094 + 86/(-3053)?
4674
What is the common denominator of (-2*(-142)/(-240))/(-2) and 312/50*2693/(-86176)?
600
Calculate the lowest common multiple of (((-4840)/6)/(-5))/((-21)/(-126)) and 352.
3872
Suppose -8 = -c - 5*o, 28*o = 3*c + 32*o - 13. Calculate the least common multiple of c and 672.
672
Calculate the lowest common multiple of 190 and (0 - 56/(-6))/(((-220)/(-627))/10).
1330
Let d(r) = r**3 + 5*r**2 - 16*r - 56. Let y be d(-6). Suppose j - 2*i = 5*j - 260, -y*j + 5*i = -274. Calculate the smallest common multiple of j and 2.
66
Let i = -1712/3 - -560. Suppose 3*u = -u + 16. Find the common denominator of i and (-143)/(-12) + u/6.
12
Suppose 0*p - 21 = -3*y + 5*p, 5*y - 16 = 2*p. What is the smallest common multiple of 260 and y?
260
Let m = -10472 + 11452. Calculate the least common multiple of m and 12.
2940
Let p = -5140 - -4276455/832. What is the common denominator of p and -31/728?
5824
Suppose 120*j = 133*j + 130. Let a = j + 114/11. Calculate the common denominator of a and 83/2.
22
What is the common denominator of 6 - 13 - (-806)/88 and 31/18?
396
Suppose 9*y = -3*y - 288. What is the lowest common multiple of 45 and ((-10)/(-4))/(y/(-288))?
90
Let j = -41581/27 - -1539. Find the common denominator of j and -163/66.
594
Let w = 59 - 55. Let x be (-26)/(w + 1056/(-260)). Let o = x + -411. Calculate the common denominator of o and 3/16.
16
Let h(q) = 10*q**2 - q. Let n be h(1). Calculate the least common multiple of (n/(-2) + -1)*-6 and 5 + 7/1 + 3.
165
Let p be 4*12/144 - 3602/6. Let u = p + 618. Let h(f) = -9*f + 7. Calculate the lowest common multiple of u and h(-5).
468
Let w(c) = 10*c - 3180. Let x be w(0). Let b = 159013/50 + x. Calculate the common denominator of -17/12 and b.
300
Let h be (600/(-90))/((-2)/15). Let g = 56 - h. Calculate the least common multiple of g and 26.
78
Suppose -17*y + 146 = -84 - 331. What is the least common multiple of y and (18 + 0)*(-33)/(-9)?
66
Let z be (3 - 1)/14 + 3514/98. Calculate the common denominator of ((-31)/30 - 1) + z/(-12) and 59/45.
90
Let u(i) = -9*i**3 - 47*i**2 - 52*i + 11. Calculate the smallest common multiple of 832 and u(-5).
14144
Let b = -751 - -591. What is the common denominator of -25/172 and (b/(-275))/(7 - 185/25)?
1892
Let t = -13 + 15. Suppose 0 = t*r + 2*r - 5*b + 24, 0 = 3*r - 2*b + 11. What is the least common multiple of (6/(-10) - 1)/(r/10) and 22?
176
Let r = 17 - -48. Suppose 69*s = r*s + 48. Let z = 59 - 26. What is the least common multiple of s and z?
132
Let t(r) = 3*r**2 + 92*r + 492. What is the lowest common multiple of 2310 and t(-6)?
18480
Let f = 10 - 7. Suppose -2*y = x - 223, -4*y + x = -0*x - 431. Suppose 17 = 21*w - y. What is the smallest common multiple of w and f?
6
Suppose 7555 - 107725 = -126*h. Calculate the smallest common multi