Let y be a(0). What is the common denominator of (-1)/y*(-890)/(-55) and h?
132
Suppose -8*f + 10 = -6*f. Let j(s) = 2*s**2 - 5*s - 7. What is the lowest common multiple of j(f) and 20?
180
Let z = 192 + -156. Let o = z + -27. Suppose -t - 25 = -6*t. Calculate the smallest common multiple of o and t.
45
Let r(d) = -7*d + 393. What is the smallest common multiple of 5 and r(7)?
1720
Let w = 6747 + -175443/26. What is the common denominator of -83/12 and w?
156
Let u be 123/360*4024*(-1)/(-6). Let b = u + -2002/9. What is the common denominator of b and -53/10?
10
Let q = 104 - 102. Let t be (10/(-8))/((-2)/8). Suppose 0*i + t*g - 3 = -3*i, -4*i - g = -4. What is the least common multiple of i and q?
2
Suppose -2*i + 1 = w - 3, -8 = 4*w. Let d(z) = -2*z + 35. Suppose 5*u - 81 + 21 = 0. What is the smallest common multiple of d(u) and i?
33
Let o = -189 - -217. What is the least common multiple of 36 and o?
252
Calculate the common denominator of ((-2)/(-220))/(15/(-7390)) + 4 and -31/15.
165
Let o(h) = h**2 - 6*h - 1. Let a be o(5). Suppose 0*q = 2*q - 50. Let d = a + q. Calculate the smallest common multiple of d and 10.
190
Suppose 5*i + 2*p - 5*p - 75 = 0, 0 = -5*p - 25. Let u be 72/(-20)*(-15)/(-6). What is the common denominator of 21/22 and (904/108)/(i/u)?
198
Let n = -8003 + 39677/5. Let i = n - -719/10. What is the common denominator of i and ((-129)/21)/(-1 - -2)?
70
Let r(p) = -4 + 19*p**2 + 0 - 2*p + 10*p**2 + 3. What is the least common multiple of 14 and r(-1)?
210
Let k(d) = d**2 - 13*d + 14. Let t be k(7). Calculate the smallest common multiple of (t - -6 - -4)*(-2)/2 and 8.
72
Let b = 2857/840 - 61/84. Find the common denominator of 2/5 and b.
40
Suppose 0 = -3*a + 3. Let o(q) = q**2 - 4*q. Let s be o(6). Let m = 20 - s. Calculate the lowest common multiple of m and a.
8
Let t be -4 - (-3 + (-1023)/9). Let d = -123/10417 + 55122251/500016. Let c = t - d. Calculate the common denominator of -57/14 and c.
112
Suppose 0 = 11*w + 169 - 785. What is the least common multiple of 22 and w?
616
Let z(k) = k**2 + 7*k + 9. Let i be z(-3). Let w = 3 - i. What is the lowest common multiple of w and 7?
42
Suppose -3*x = -2*b + 824, -3*b + 189 + 1045 = -5*x. Let c = b - 939. Let g = 2587/5 + c. Calculate the common denominator of g and -69/10.
10
Let l = -1678/25 + 155251/2300. Find the common denominator of 50/161 and l.
644
Suppose 5*c - 105 = 5*f, -3*c - 3*f = -5*c + 43. Let y be (22465 - 0)*(-8)/c. Let x = y + 53785/6. What is the common denominator of x and 41/12?
12
Calculate the least common multiple of 3/((-30)/(-4)) - 9152/(-220) and 42.
42
Suppose -3*x + 5*m + 23 = -11, 0 = -4*x + 2*m + 22. Let z = 45 + -24. Let y = z - 13. Calculate the least common multiple of x and y.
24
Let g be (-65)/6 + (-4)/24. What is the lowest common multiple of (-3)/6*(3 + g) and 3*(-8)/(-12)*4?
8
Let w = 12411 - 149039/12. What is the common denominator of w and -46/21?
84
Let k(n) = n**2 + 12*n - 63. Calculate the least common multiple of 35 and k(-19).
70
Let w(c) = c. Let u(y) = -2*y + 15. Let g(k) = u(k) + w(k). Let b be (-10)/25 - (-27)/5. What is the least common multiple of 9 and g(b)?
90
Calculate the common denominator of 1815/(-378) + 1 - 35/(-315) and 83/60.
420
Let g = -22 - -39. Let x = g + -5. Calculate the common denominator of 88/(-6) - x/36 and 46/7.
7
Let m = -15 + 33. What is the common denominator of -2 + (-43)/m - -2 - -1 and 50/21?
126
Let h = 45843/9350 - 94/425. Calculate the common denominator of h and ((-10)/25)/((-16)/(-178)).
220
Let d = 55 + -30. Let c be (-4240)/d*39/(-12). Let u = c + -32897/60. What is the common denominator of 13/6 and u?
12
Suppose 11*u - 3*q + 180 = 16*u, 3*u + 2*q = 107. What is the least common multiple of 12 and u?
156
Let q = 15 + -89/6. Let r = 180/7 - 4387/154. Find the common denominator of q and r.
66
Let k = -8884195/12 + 744042. Let d = -3698 + k. What is the common denominator of 99/6*5/(-12) and d?
24
Let q(i) = 6*i**3 + 2*i**2 - 4*i + 5. Let p be q(2). Suppose 4*u - 4*h = 548, p = u + 2*h - 96. What is the common denominator of -111/20 and (-2)/1 + u/14?
140
Let j = 3251/132 - 269/12. What is the common denominator of j and -73/60?
660
Suppose -2*r = 3*m - 3850, 4*r = 5*m + 2994 - 9418. Calculate the smallest common multiple of 4 and m.
1284
Calculate the smallest common multiple of 12 and -6*(3108/18)/(-1).
3108
Let u be (1239/9)/7*3. Suppose -54*i - 30 = -u*i. Calculate the smallest common multiple of (-2)/8 - (-130)/8 and i.
48
Let m = 3 - 1. Suppose -3*u - 5*c + 50 = 0, 4*c = -13*u + 11*u + 36. What is the lowest common multiple of m and u?
10
Calculate the least common multiple of 3 and 16/(-20)*(-4375)/50.
210
Let o = 1391 + -1373. What is the lowest common multiple of 34 and o?
306
Let n(c) = 7*c + 24. Let w be n(-12). What is the common denominator of -43/27 and (175/w + 3)*-2*-125?
54
Let m = 37501/35805 + -19/651. Find the common denominator of -21/355 and m.
3905
Let k = -108/23 - -55/23. Calculate the common denominator of k and 39/(-8)*12/(-45).
230
Let g = 1029 + -4155/4. Find the common denominator of 36/23 and g.
92
Suppose 0 = -3*l + 27 - 0. Let j = -47 + 55. What is the smallest common multiple of j and l?
72
Let m(c) = -c**2 - 13*c + 564. Calculate the smallest common multiple of m(18) and (-2)/(-8) + (-110)/(-8).
42
Let n = -784/5 - -3351/20. Find the common denominator of n and 113/24.
24
Let s(k) = -k - 9. Let n be s(-11). Let j = 1241 + -14939/12. Calculate the common denominator of (-366)/48 + 3/n and j.
24
Suppose -3*j + q + 7 = 0, 14 = 2*j - 0*j - 3*q. Suppose z - 7 - j = 0. Calculate the smallest common multiple of 6 and z.
24
Suppose 0 = -2*a - 3*n + 14 + 2, -3*n = 4*a - 20. Suppose 4*z - 3*j = 71, 46 = 4*z - 0*z + a*j. What is the lowest common multiple of 6 and z?
42
Let a = 1 + 1. Suppose -2*w = -3*p - 19, -4*p + 3*w = -p + 24. Calculate the smallest common multiple of a and 1*(4 + p + -10)*-1.
18
Calculate the common denominator of 55/12 and ((-10)/8)/(5 + 17/(-5)).
96
Suppose -126*t + 880 = -115*t. What is the lowest common multiple of (0 + 1 + -6)/(-1) and t?
80
Calculate the lowest common multiple of 5 and (-102 + (-3 - 0))*(-7)/21.
35
Suppose -4*u - 14 + 54 = 0. Calculate the smallest common multiple of u and (-1420)/(-18) - 2/(-18).
790
Let q = -27 - -40. Suppose 3*w - 8 = -f + 3*f, -3*f + 5*w - q = 0. Find the common denominator of 19/3 and ((-23)/(-6))/(f/2).
3
Suppose -b + 2 = 14. Let z(m) = m**3 + 11*m**2 - 15*m - 33. What is the least common multiple of 18 and z(b)?
18
Let a = 5/2179 - 272465/39222. Find the common denominator of -59/12 and a.
36
Find the common denominator of 170/56 - 2/8 and ((-21)/16)/(-17 - 62/(-4)).
56
Let m(c) = -c**3 + 6*c**2 + 7*c + 4. Suppose 2*d - 38 = -0*d. Let j = -13 + d. What is the lowest common multiple of j and m(7)?
12
Suppose 0 = 10*a - 7*a - 3*n - 18, a + 3*n - 26 = 0. Calculate the lowest common multiple of a and 4.
44
Let r = -42 + 45. Find the common denominator of (r/105)/(4/(-790)) and -21/8.
56
Let v(c) = -c**3 - 5*c**2 + 3*c + 1. Let x be v(-4). Let a be (-2)/3 + (-1206)/x. What is the least common multiple of (a/(-16))/(1/(-4)) and 2?
22
Let b be (2/(-4))/((-27)/(-26253)). Let g = -483 - b. Calculate the common denominator of 393/63 - (-4)/(-6) and g.
42
Let f = 2 - -60. Find the common denominator of -87/4 and f/(-6)*108/(-120).
20
Let b be (-6)/(-4)*(-32)/48. Calculate the common denominator of ((-30)/96)/(b/68) and (2/8)/(10/(-8)).
20
Let i = 3/1627 - 128557/13016. Calculate the common denominator of (-401)/18 - (-6)/(-27) and i.
8
Suppose 3*j - 63 + 21 = 0. Find the common denominator of 16/7 and (6/j)/((-28)/(-490)).
14
What is the common denominator of ((-27)/21 + 3/4)*-1 and -65/16?
112
Let f = 14 - 14. Suppose f*t - 40 = -t. What is the lowest common multiple of 4 and t?
40
Let u(f) = f**3 + 13*f**2 + 15*f - 20. Let a be u(-12). What is the lowest common multiple of (a/(-21))/4 + (-116)/(-6) and 16?
80
Let d(o) = -o**3 + 10*o**2 + 22*o + 29. Calculate the lowest common multiple of 175 and d(11).
1050
Suppose -c = -5*w + 419, 3*w = 5*c + 130 + 139. Suppose -4*k - 29 - w = 0. Let n = -19 - k. Calculate the smallest common multiple of 9 and n.
9
Calculate the common denominator of (0 + 21/15)*(-