q = 15, 23*c - 3 = 20*c + 3*q. What is the smallest common multiple of c and 50?
50
Let r = -5507/9460 - -25/44. What is the common denominator of 1 and r?
215
Suppose 6*p = -4*t + 3*p - 3, -2*p - 2 = 5*t. Suppose s + d - 2 = t, 0 = -s - 0*s - 2*d + 1. What is the smallest common multiple of 4 and (-36)/(-8)*2/s?
12
Let k = -18 + 14. What is the common denominator of -71/12 and k - (-1)/(4/9)?
12
Suppose 111 = 5*m + 21. Let w = -1612 + 1618. Calculate the least common multiple of w and m.
18
Let k be ((-512)/(-252) + -2)*(-262715)/(-980). Let t = -156/343 + k. What is the common denominator of t and 5/204?
612
Suppose -13*t - 12 = -10*t. What is the common denominator of 31/27 and 1/t - ((-181)/(-36) - -2)?
54
Let w = -316487/56 + 5651. What is the common denominator of w and 85/36?
504
Let d(y) = -y**3 - 5*y**2 + 3*y + 5. Let p be d(-5). Let g = 3880 + -54403/14. Calculate the common denominator of (19/(-2))/(-8 - p) and g.
28
Let p(s) = -3*s**2 - 6*s - 2. Let x be p(-2). What is the common denominator of -2/7 and (77/(-2) + 0)/(x*2)?
56
Suppose n = -11 + 14. Suppose -n*s = -3*x - 24 - 0, s - 2*x - 8 = 0. What is the smallest common multiple of s and 28?
56
What is the common denominator of 9*(-50)/(-24) - (-2 + 3) and -139/42?
84
Suppose -2 = 8*b - 7*b. Find the common denominator of 19/2 and ((-147)/72 - -4)*(b - 1).
8
Let v = 24296 + -3741571/154. What is the common denominator of 29/126 and v?
1386
Let p = -19 - -40. Let q be ((-4822)/4)/(p/39). Let h = q + 2243. Find the common denominator of 139/18 and h.
126
What is the common denominator of -75/8 and ((-174)/(-56) - 3)*52/(-6)?
56
Let a(r) = -r**2 + r + 1. Let p be a(-3). Suppose -m + 34 = i + 4*m, 2*i = 3*m + 29. Let x = i + p. Calculate the smallest common multiple of 11 and x.
88
Let c(u) = -u**2 - 5*u. Let s be c(-4). What is the lowest common multiple of 6 and 299/39 + s/(-6)?
42
Suppose 2*z + 276 = -5*b, -46 = 2*z + b + 230. Let h = 1408 + -8471/6. Calculate the common denominator of ((-7)/(-105))/((-2)/z) and h.
30
Suppose c + 20 = 3*d - 28, 5*d - 5 = 0. Find the common denominator of 23/24 and 258/c - 0/(-2) - -3.
120
Let d = -33795 - -1351697/40. What is the common denominator of d and 13/20?
40
Let q = -10469 - -6971. Let n = q + 34941/10. Find the common denominator of -145/12 and n.
60
Suppose -4*u - 2*c + 2182 = 0, 0 = 2*u + u - 3*c - 1641. What is the smallest common multiple of 10 and u?
2730
Suppose 173*l - 18 = 167*l. Calculate the smallest common multiple of 59 and l.
177
Calculate the common denominator of 16/63 and ((-3)/(-81))/((-105)/3330).
63
Calculate the common denominator of 2/147 and ((-243)/(-15))/((-168)/16).
735
What is the common denominator of 85/378 and 1*4/(-18) - 8010/(-324)?
378
Let p(c) = c**2 + 12*c + 12. Let f be p(-11). Let j be f - (0 + 3 + 2848). Let h = -19893/7 - j. Find the common denominator of h and 7/2.
14
Suppose 4*n - 84 = 10*n. What is the smallest common multiple of -3 - n/(4/2) and 4?
4
What is the common denominator of ((-2403)/(-18))/(-46 - -1) and -4/15?
30
Suppose -2*s = -5*x - 16, 3*s + 1 = -4*x + 2. Let a be 1 + x + 63/(-1). Find the common denominator of -4 + (-700)/a + -1 and -105/22.
176
Let n = 56 - 84. Let m = n - -50. What is the lowest common multiple of 6 and m?
66
Suppose -4*i = r + 22, r = 1 + 1. What is the common denominator of 6/(-2) - i/(-63) and -85/21?
21
Let b = 3728 - 3718. Let i = 4 - 1. Suppose -6*o + 2*o + 4*r = -68, -i*r = -9. Calculate the smallest common multiple of b and o.
20
Suppose 422*a - 594 = 413*a. What is the lowest common multiple of a and 300?
3300
Let d(i) = -i**2. Let v be d(3). Calculate the smallest common multiple of (-6)/v*-2*3/(-4) and (-4)/14 + 32/14.
2
Let k = -126 + 90. Find the common denominator of -16/139 and k.
139
Let m(q) = 14*q**3 + q + 1. Let p be m(-1). What is the common denominator of (-63)/(-42)*(-36)/p and 31/7?
7
Let s(f) = -56*f + 68. What is the smallest common multiple of 7 and s(1)?
84
Let c = 25 - 13. Let y = -3147 - -28393/9. What is the common denominator of (-7)/(-3)*(-42)/c and y?
18
Let y = 15 - 5. Suppose 4*p - y*p + 126 = 0. What is the least common multiple of p and 33?
231
Suppose 6*h - 16 = 2*h. Suppose -h*f + 92 = -88. Suppose -7*c = -12*c + f. What is the lowest common multiple of c and 2?
18
Let f = 23771/4634 + 28/331. Find the common denominator of ((-10)/6)/(98/(-357)) and f.
14
Find the common denominator of (94/8)/((-885)/236) and ((-76)/18)/((-5)/(-3)).
15
Let n = -142 + 160. What is the least common multiple of n and 21?
126
Let y = -493687/57240 - 1/7155. Calculate the common denominator of y and (1208/32)/((-21)/(-14)).
24
Suppose 186*r - 159*r = 405. What is the least common multiple of 360 and r?
360
Let z = 24763/990 - 265/11. What is the common denominator of z and -54/55?
990
Let c be ((-20)/(-12) - 1)*(-60)/(-8). Suppose -4*x + x = 4*k - 180, -5*k = -c*x + 300. Calculate the lowest common multiple of x and 22.
660
Suppose 11*f - 6*f + 2*u = 20, u - 7 = -f. Let h = 6697/194 - 2/97. Calculate the common denominator of h and 7110/(-1120) - f/7*-1.
16
Let i = 1591022 - 9502957/6. Let x = -7180 + i. What is the common denominator of x and ((-770)/(-45))/((-20)/3)?
30
Let l = -7063/624 + -3/208. Find the common denominator of l and 55/18.
18
Let r = 10530 - 189487/18. Calculate the common denominator of r and -5/162.
162
Suppose 4*r = -4*z + 6*r + 24, 6 = z - 5*r. What is the common denominator of 81/2 and 5518/4774 - (-1 - z/(-2))?
154
Find the common denominator of -2/105 and -7 - (3 + 1149/(-115)).
2415
What is the least common multiple of 75/18 - (-6 - (-333)/54) and 49?
196
Let s = 1954 - 1946. What is the least common multiple of 146 and s?
584
Suppose 809*j - 406*j - 99 = 400*j. Calculate the least common multiple of j and (-1)/2 - (-50)/4.
132
Let y = -11105/36 + 1267/4. Let d = 7147/1980 - 13/495. Find the common denominator of y and d.
36
Let v(a) = a**3 - 15*a**2 + 18*a + 15. Let o be v(13). Let x = -15 - o. Find the common denominator of (-2)/(-24)*x - -2 and 47/4.
12
Suppose -o - 5*d + 40 = 0, -52 = -3*o + o - 3*d. Suppose -15*w + 11 = -14*w + 5*y, -17 = -w + y. What is the least common multiple of w and o?
80
Let k = 9224 + -581135/63. Find the common denominator of 29/77 and k.
693
Suppose 41*c = 32*c + 504. Calculate the lowest common multiple of c and 8.
56
Let o = -217 - -377. Calculate the least common multiple of 200 and o.
800
Suppose 3*x = -0*x - r + 305, x + 4*r - 120 = 0. Calculate the lowest common multiple of x and 70.
700
Let u = -1167 - -1291. What is the lowest common multiple of u and 48?
1488
Let z = 3877/5 - 84999/110. What is the common denominator of z and -19/18?
198
Suppose 0 = 2*k - k - 5. Suppose k*p + 17 = 3*b + 1, -2*b = 2*p - 16. What is the least common multiple of b and 12 - (-4 - (-3)/1)?
91
Let a(n) = n**3 + 32*n**2 - 7*n - 199. Calculate the lowest common multiple of a(-32) and 40.
200
Suppose 4*t + 34980 = -16. Let r = 140077/16 + t. Let m = -2866/5 + 2305/4. Calculate the common denominator of m and r.
80
Let h = -3449051/54 - -63869. What is the common denominator of h and 97/18?
54
Suppose -3*p + 3*n - 4 = -10, -p - 2*n + 8 = 0. Calculate the common denominator of (102/(-15))/(p/25) and 87/10.
10
Suppose -k - 3*t + 198 = 0, 0 = 2*t + 8 - 0. Let b = k - 491/2. Find the common denominator of (2/48)/((-2)/4) and b.
12
Let i = -30 - -14. Let x = i + 18. Let s = 13 - x. What is the lowest common multiple of s and 3?
33
What is the common denominator of 1/(-1) - 159/6 and 107/20?
20
Let t(q) = -q**2 - 7*q. Let h be t(-6). Let k = 17 - h. What is the lowest common multiple of k and 11?
11
Calculate the common denominator of (-90)/4455*(2 + (-101)/4) and 125/66.
66
Let c = 3 - -1. Suppose -11 + 27 = c*i. What is the smallest common multiple of 5 and i?
20
Let b = -3419 - -17037/5. Let j be 2/(-9) - (-730158)/25380. Let i = -820/47 + j. What is the common denominator of i and b?
10
Let v = -16 - 59. Let s = v - -77. What is the smallest common multiple of s and 18?
18
Suppose -2*x = 5*g - 45, 5*x - x = -2*g + 50. Let q = -19 + x. What is the smallest common multiple of 4 and (q/(-1))/((-3)/(-2))?
12
Let a = 867 + -581. What is the lowest common multiple of 12 and a?
1716
Let s(b) = b**2 + b - 1. L