1, -2*n = -w + y - 0. Calculate the smallest common multiple of w and 2 - (4 + -15 - -3).
20
Let k be (232/(-20))/(2/(-300)). Find the common denominator of (0 + 7/(-10))/(-1) and ((k/(-16))/5)/6.
40
Let w = 402819/50 - 8058. Let f = 3/25 + w. Find the common denominator of f and 61/10.
10
Let v = 415/4 + -2249/20. Let o be (-3 + 9 - 2) + -3001. Let i = -65913/22 - o. What is the common denominator of v and i?
110
Let b(z) = z**3 + 71*z**2 + 148*z + 693. Suppose -3*k = -31 - 41. Calculate the least common multiple of k and b(-69).
24
Let w = -3233 - -12869/4. Find the common denominator of 61/40 and w.
40
Suppose 4*z = -j - j + 6, -z + 4*j = -24. Calculate the common denominator of (-58)/(-9) - (-6)/z and -137/18.
18
Let t(v) = 2*v**2 + 35*v - 47. What is the smallest common multiple of t(-19) and 84?
420
Let c = -153077 - -31227629/204. What is the common denominator of -53/33 and c?
2244
Suppose -22*w - 15 + 257 = 0. What is the lowest common multiple of 142 and w?
1562
Let z be (-7)/(7/(-2)) - 5. Let w(m) = -m**3 - 3*m**2 - 3*m - 1. Let a(p) = -12*p. What is the least common multiple of w(z) and a(-1)?
24
Let b = -5041299/178 - -28322. Find the common denominator of b and -3/8.
712
What is the common denominator of -119/110 and (-36)/297*2*(-54)/(-3)?
110
Suppose 0*a - 3*a + u = -286, 12 = -3*u. Let o = -84 + a. Calculate the lowest common multiple of o and 10.
10
Calculate the common denominator of -67/6 and 1/((6616/24)/(12/18)).
4962
Suppose 0 = 5*h - 0*h - 30. Calculate the lowest common multiple of (31 - 29)*((-5)/(-1))/1 and h.
30
Let h(l) = -l**3 + 4*l**2 - 4*l + 3. Suppose 90*g - 8 = 89*g. Calculate the lowest common multiple of h(2) and g.
24
Let z(j) = 14*j - 44. Let r be z(4). Suppose 0 = 7*d - 58 - r. Suppose -6*v + 63 = -2*v + 5*f, 0 = -v + f + 27. What is the least common multiple of d and v?
110
Calculate the common denominator of 6/(-4) - (-63)/(-4) and (25 - -3 - -2)*(-5)/(-4).
4
Let a = -3/7628 + -161927/427168. Calculate the common denominator of a and -83/112.
224
Find the common denominator of 79/20 and 1/(-28)*232/(-44).
1540
Let r = 5/546 + 5021/8190. What is the common denominator of 9/50 and r?
450
Let k be (-7 + 3289)/(14/(-11)). Let n = k - -2585. Calculate the common denominator of 63/14*(-4)/5 and n.
35
Let v = -483155/56 - -8628. What is the common denominator of v and -37/224?
224
Suppose 2*n = 6*n - 44. Suppose 5*s = -s - 3*s. Suppose s = x + 2 - 3. Calculate the smallest common multiple of x and n.
11
Suppose -4*c + 304 + 68 = 0. Calculate the common denominator of 155/120 + (-1)/(-4) and (-2)/(-3)*c/20.
120
Let p(l) = -l**2 + 15*l + 42. Calculate the smallest common multiple of 36 and p(14).
504
Let x = -236645/32 - -7396. What is the common denominator of x and 31/24?
96
Let r(l) = -l**3 + 29*l**2 - 20*l - 22. Let f be r(28). Suppose -6*w + 122 + f = 0. Calculate the least common multiple of w and 8.
216
Suppose -2*g = -3*t - 56, -4*t - 151 = -4*g - 47. Calculate the smallest common multiple of 9 and g.
198
Let s(q) = -q + 10. Let w be s(11). Let k be w/(-1)*(15 + -10). Find the common denominator of -65/8 and (k - 2) + (-210)/44.
88
Suppose -33 = -a - 29. What is the common denominator of ((-7)/((-98)/a))/(96/2716) and -49/20?
60
What is the common denominator of 639/60*3/(108/8) and -83/36?
180
Let z = -8785091/2 + 2899085033/660. Let y = -112/15 + z. Find the common denominator of 43/12 and y.
132
Let z = 1 + 25. Suppose 3*x - 2*s = 12, 5*s + 13 = 5*x + 4*s. What is the lowest common multiple of z and x?
26
Suppose 126 = 2*m + 2*i, 0 = -m - i + 4*i + 67. Calculate the common denominator of (-1)/(-1) + (-92)/m + 4 and -101/22.
176
Let c = 0 - 3. Let j = 97 - 85. Calculate the least common multiple of ((-2)/4)/(c/18) and j.
12
Find the common denominator of 2 + 12/6 + 940/(-234) and -79/104.
936
Calculate the smallest common multiple of 234 and (3 - 0 - 27/6)*-6.
234
Let v = -1170 + 210. Find the common denominator of -85/8 and 2*3*(-12)/v.
40
Let w = -6208 + 62149/10. Suppose 21*t = 20*t. Suppose 4*g = 2*i - 22, t*i = -g + 3*i - 8. What is the common denominator of w and g?
10
Suppose 0 = 4*z - 4*k - 76, 5*z - 45 = -5*k. Let h = 26 - z. Suppose 120 = -1218*l + 1228*l. What is the lowest common multiple of h and l?
12
What is the common denominator of (-39)/6*17/(-3451) and -45/7?
406
Suppose -588 = -s - 6*s. What is the lowest common multiple of 4 and s?
84
Let m be 2/(-4)*(1 - -13). Let w be 3*(-2)/m*7. Suppose -w*y = -y + 5, -4*y + 12 = 4*t. Calculate the lowest common multiple of t and 7.
28
Suppose -7*r - 7*r + 3836 = 0. What is the lowest common multiple of r and 8?
1096
Let z = 151 - 134. Let t = z - -1. What is the lowest common multiple of t and 6?
18
Let s(t) = 2*t + 3. Suppose -3 = -f - r + 4, 15 = 3*r. Let g(o) = 2*o - 3. Calculate the least common multiple of s(3) and g(f).
9
Let q(p) = -p**3 + 22*p**2 + p - 31. Let y be q(22). Calculate the common denominator of -31/27 and (0 + (-4)/10)*165/y.
27
What is the common denominator of 47/30 and ((-52)/80)/((-714)/(-85))?
840
Let r(w) = w**3 - 8*w**2 + 13*w + 10. Let u be r(7). Suppose -2*c + 20 = v, 2 = -3*v - c + u. Calculate the least common multiple of v and 18.
144
Let c = 3910373465 - 30285842396573/7745. Let r = -2/1549 + c. Let s(q) = q**2 + 5*q - 6. Calculate the common denominator of r and s(4).
5
Let f(u) = 62*u**2 + 5*u - 3. What is the smallest common multiple of f(1) and 10?
320
Let z(o) = 8*o**3 - 2*o**2 - 14*o + 3. Let k be z(-3). Find the common denominator of -73/10 and -4*2/36 - 1095/k.
70
Let i = 17202365657/1427835 - -3/95189. Suppose -3*d + 28033 = -8129. Let t = d - i. What is the common denominator of -47/11 and t?
165
Let k = -59/15 - -18/5. What is the common denominator of ((-28)/(-10))/((-20)/55) and k?
30
Let l = 1922 + -7625/4. Find the common denominator of -16/5 and l.
20
Let k be 18802/12 - (-2)/(-3). Let d be (0 - 3)/3 - (-1 + 1570). Let i = d + k. What is the common denominator of -11 and i?
6
Let p = -231 + 461. Calculate the lowest common multiple of p and 20.
460
Let l = 51 + -19. Let o = -452 - -472. Calculate the smallest common multiple of o and l.
160
Let h = 5 + -5. Let r(m) = m**2 - 2*m + 18. Let t be r(h). Let z = -14 + t. What is the smallest common multiple of z and 22?
44
Suppose -33 = -0*o - 3*o. Let q be o/(-429)*(-81 - -1). Let a = -419/195 - q. Find the common denominator of -44/5 and a.
5
Let j = 92 - 26. Suppose -3*p = -2*s - j, p + 3*s - 14 = 8. Suppose 0 = -351*x + 412*x - 122. Calculate the smallest common multiple of x and p.
22
Find the common denominator of (-496)/(-360)*9/12 and -61/60.
60
Let a = -167 + 166. Let i(v) = 12*v**2 - 2*v - 1. Let d be i(-1). Let x = a + d. Calculate the least common multiple of 22 and x.
132
Suppose 15*i + 2 - 152 = 0. Suppose -m - 2*o + 10 = 0, 3*m - 17 = m - 3*o. What is the smallest common multiple of m and i?
20
Let x be (-26315)/(-546) + (-6)/(-6). Let r = 645/14 - x. Let c = r + -140/39. Calculate the common denominator of c and -14/11.
77
Calculate the common denominator of 101/40 and (-117)/(-396) - (-6)/(-4).
440
Let y = -3 - -5. Suppose -32 = -6*x + y*x. What is the lowest common multiple of x and 8?
8
Let w = -6578/3 + 2232. Let q = w + -437/6. Let b = -923 + 5491/6. What is the common denominator of q and b?
6
Let y(p) = -p**3 + 21*p**2 - 33*p - 14. Let d be y(19). Let u = d + -75. Let c(a) = 2*a. What is the lowest common multiple of c(5) and u?
30
Suppose -3*n = 5*f + 3, 4*n - 2*f - f + 4 = 0. What is the common denominator of n/2 + 2/(-9) and (-1881)/(-1824)*(-2)/(-6)*-2?
144
Suppose -5*u = s - 60, -2*s - u + 124 = 4. Calculate the lowest common multiple of 6 and s.
60
Calculate the lowest common multiple of 198*(28/12)/7 and 77.
462
Let g = -20 + 19. Suppose -16 = 5*o + 24. What is the common denominator of g - 1 - (-5)/o and 64/9?
72
Let c(j) = -j + 12. Let u be c(10). Let a = -4 - u. Calculate the common denominator of -93/14 and a/(-45)*909/(-12).
70
Suppose -15*a + 12*a = -615. Let x be (231031/a)/(294/5). Let h = x + 2/6027. What is the common denominator of 23/24 and h?
24
Suppose 2*l = 6, 3*w - 4*w + l + 2 = 0. Suppose r = -w*m - 4*r + 60, 0 = -3*m - 5*r + 36. What is the lowest common multiple of m and 6?
12
Let d = 205 + -185. L