t y(a) = a**3 + 14*a**2 + 12*a + 5. Let m be y(-13). Let q = m + -2. Calculate the smallest common multiple of 6 and q.
48
Suppose 18 = 2*m - 18. Let p(k) = 2*k - 6. Calculate the smallest common multiple of m and p(6).
18
Suppose 3*r = -5*j + 793, -5*r + 507 = -3*r - j. Calculate the smallest common multiple of 64 and r.
256
Let r = 370/17 + -1382/51. What is the common denominator of r and (-5)/5 + 166/20?
30
Let c(t) = t**2 + 7*t + 13. Let w be c(-8). Let s = 307/4 + -84. What is the common denominator of s and w/20 + 1/2?
20
Suppose -y = 3*d + 27, 4*d + 45 = -5*y - 35. What is the smallest common multiple of ((-20)/(-14))/(y/(-84)) and 2?
10
Let z(n) = n**2 - n + 5. Let f be z(0). Suppose f*g = -u - 68, -g = 5*u + g + 340. Calculate the common denominator of u/160*2 + 1 and 49/16.
80
Find the common denominator of 57/20 and (18/(-4) + 4)*(-344)/(-1456).
1820
Suppose -13 = -3*g + 5. Let v(y) = y**3 - 6*y**2 - 6*y + 1. Let m = -32 - -39. Calculate the least common multiple of g and v(m).
24
Let t = -145 - -217. What is the least common multiple of t and 80?
720
Let x = -460 + 247. What is the common denominator of (-4)/12*x/(-24)*-2 and -53/6?
12
Let q be 46/8 + (-9)/12. Suppose -2*z = -2*m - 20, q*z - z = 2*m + 42. Calculate the smallest common multiple of 5 and z.
55
Let g(x) = -23*x + 26. Let u be g(22). Let s = -7677/16 - u. Find the common denominator of s and (2/24)/(8/540).
16
Let w be 4/(-6)*(2 + 0 + 4). Calculate the common denominator of 127/36 and (-4)/12*(1 - 0)/w.
36
Let l = -52848/218215 + -24/2297. Calculate the common denominator of 37/20 and l.
380
Let a = -5624 + 101197/18. Let b = -27/112 + -2833/560. Calculate the common denominator of b and a.
90
Let k be (38/4)/(2/60). Let u = 99617/14030 - 2/7015. Calculate the common denominator of u and (k/(-25) - 0/(-2))/(-1).
10
What is the common denominator of 220/8 - 36/16 and 0 - (-1)/(12/206)?
12
Find the common denominator of 127/366 and (112/(-88) + -5)*(-3)/(-27).
4026
Let p(y) = -y**2 - 21*y - 84. Calculate the smallest common multiple of p(-13) and 104.
520
Suppose -2*k + 3 = -5*t - 11, -k = -3*t - 8. Suppose y + k*y = -126. What is the common denominator of 77/y*(-4)/6 and 39/11?
99
Suppose z + 9*z = 1460. Suppose 6 - z = -5*s. What is the smallest common multiple of 12 and s?
84
Let i(d) = d**2 + 8*d + 65. Calculate the least common multiple of i(-13) and 16.
1040
Calculate the lowest common multiple of (-315)/252*48/(-10) and 3.
6
Let y be 872/(-6)*-3*-2. Calculate the common denominator of -125/48 and y/160 + 4/2.
240
Let x be (-3)/1*(-4)/(-6). Let i = 3115/148 - 122/37. Find the common denominator of i and (-10)/(-6)*3/x.
4
Let w = 94 - 65. Let i = w + -231/8. Calculate the common denominator of i and 71/6.
24
Let s = -766/23 - -14729/483. What is the common denominator of s and 113/60?
420
Let z = -190049/150 + 1267. What is the common denominator of z and 27/250?
750
Let z = 655901/2070 - 7240/23. What is the common denominator of 38/27 and z?
270
Let k = -18 + 14. Suppose -g + 64 = 3*g. Calculate the common denominator of -7/8 and (g/22)/(2/k).
88
Let w = -207 + 243. Suppose 0 = 4*p - 26 - 22. Calculate the smallest common multiple of w and p.
36
Calculate the common denominator of 44/3 and -5 + -5 + 58/(-4).
6
Let c(k) = k**3 - 15*k**2 + 32*k - 51. Calculate the least common multiple of 96 and c(13).
864
Find the common denominator of 8/161 and (249/150)/(70/(-175)).
3220
Let c(h) = h**2 - 9*h - 20. Let g be c(17). Let b = -1 + 3. Calculate the least common multiple of 8/12 - g/(-6) and b.
20
Let u(z) = z + 8. Let q be u(-9). Let v be (-1 - q) + (7 - 4). Suppose -v*i + 3 = -g, 0*g - 5*i + 27 = 2*g. Calculate the smallest common multiple of g and 11.
66
Let k = -2961 + 1982. Let s = k + 8857/9. Let a = 12/1171 - 43459/12881. Calculate the common denominator of s and a.
99
Let k = -1604933/63 - -25476. Calculate the common denominator of k and -43/7.
63
Suppose -11 = 6*m - 5. Calculate the common denominator of (-1 + m)/(64/(-74)) and -7/22.
176
Find the common denominator of (-254)/(-16)*(-4)/15 and 55/18.
90
Suppose 1 - 5 = -2*f. Suppose 0 = -f*k + 3*c + 18345 + 6, -9179 = -k - 2*c. Let g = k - 128407/14. Find the common denominator of -101/8 and g.
56
Let f = 1765901/52 + -33958. What is the common denominator of f and -99/82?
2132
Let b(r) = -46*r - 26. Let z be b(-3). Suppose 9*a + 5*a = z. What is the least common multiple of a and 44?
88
What is the least common multiple of ((-4)/25)/(8/40)*-120 and 30?
480
Let d = -37/269 - -23767/18292. Find the common denominator of d and -103/18.
612
Let m = -139 + 91. Calculate the common denominator of 75/272 and -2 + (210/m)/(-5).
272
Suppose 0 = -5*k + 5, 4*u + k - 2 + 5 = 0. Let g be 7 + -11 + 3/u. Let a = g - -13. Calculate the lowest common multiple of 4 and a.
12
Suppose -2*n - 16 = -4*n + s, 0 = 5*n - s - 43. What is the common denominator of ((-546)/70)/(n/(-2)) and 18?
15
Let w(i) = i**3 - 2*i**2 + 5*i + 2. Calculate the smallest common multiple of w(5) and 12.
204
Suppose -27 = 2*i - 3. What is the least common multiple of (-88)/i - (-2)/(-6) and (-1 + 2)/(-57 - -58)?
7
Suppose -3*i - 9 = -54. Let c(p) = p**2 - 2*p + 3. What is the smallest common multiple of i and c(-4)?
135
Suppose 43 = 2*x + 1. Suppose 33 + x = q + 4*s, 2 = s. Let r = q + -30. What is the lowest common multiple of r and 4?
16
Let q = 552 - 528. Suppose -46 = -z - 13. What is the lowest common multiple of q and z?
264
Calculate the lowest common multiple of 36 and (2/(-5))/((-89)/82770).
1116
Let u(n) = -5 - 5*n + n - 2*n + 2. What is the smallest common multiple of 1 + (2 + (-10)/2)*-1 and u(-2)?
36
Calculate the common denominator of (4424/36)/(-14) - 12/(-3) and 48/253.
2277
Let p = -53 + 77. Suppose 3*d + p = d. What is the common denominator of -3*(-2 + 110/d) and -27/5?
10
Suppose 17*y - 1567 = 2564. Calculate the lowest common multiple of 33 and y.
2673
Let u be (0/2)/(-1*(-4 + 2)). What is the common denominator of 46/9 and (-8)/(456/109) - (-3 - u)?
171
Let x be -6 + (0 - -2) - -6. Let b = 757/46 + 1/23. What is the common denominator of (x/(-4))/((-1)/(-3)) and b?
2
Suppose u - 7*u + 72 = 0. What is the common denominator of (-21)/(-7) + 170/u and 59/5?
30
Let h(y) = -y**2 + 8. Let j = 99 - 101. Calculate the lowest common multiple of (-1)/(-2) - (-17)/2 and h(j).
36
Let m = 20509 + -820419/40. Calculate the common denominator of 93/80 and m.
80
Suppose 3000 = 8*x - 3*x. Find the common denominator of 71/8 and ((-2)/(-24))/(42/x).
168
Let f(t) = -t**2 + 4. Suppose -5*g = -3*g. Let o be f(g). Calculate the least common multiple of 22 and (32 + -8)/(6/o).
176
Let t be (-344)/28 + 6 + 4/14. Calculate the common denominator of -36/29 and 2/16*t + 2/4.
116
Suppose 0 = -3*m + 3*l - 948, 0 = 2*l + 2 - 4. What is the common denominator of m/(-12) - (-9)/(-3) and 55/3?
12
Calculate the common denominator of (1/(-12))/(12/603) and (546/(-77) - -9)*-1.
176
Calculate the common denominator of 428/(-963) + (-14)/216 and 143/162.
324
Calculate the least common multiple of 2 and 64 - -1 - (-10 - (-70)/10).
68
Suppose 0 = -2*i + 142 - 70. What is the least common multiple of 4 and i?
36
Let c be ((-2)/2)/((-11)/(-18425)). Let a = -30061/18 - c. Find the common denominator of a and -5/238.
2142
Suppose -3*m = -4*o - 30, -4*m + 16 = -2*m - 4*o. Suppose 2*q = -6*q + 88. Suppose q + 21 = 4*n. Calculate the lowest common multiple of n and m.
56
Let c = -1950 + 1960. What is the least common multiple of c and 86?
430
Let c(d) = -d**3 - 7*d**2 + 3. Let a be c(-7). Let m = a + 0. Suppose f = -r - 3 + 12, 0 = -5*f - m*r + 37. What is the least common multiple of f and 7?
35
Let f = 1283 + -2180. Let p = 903 + -4482/5. Find the common denominator of f/54 + 38/(-9) + 4 and p.
30
Suppose 7*p = 5*p - 26. Let k = p - -15. Suppose 5*u = -k*q - 13, q + 2*u - 1 = -6. What is the least common multiple of q and 6?
6
Calculate the common denominator of (-206)/(-420)*3 - 56/98 and -7/334.
1670
Calculate the common denominator of 326/4*(-26)/(-1716) and 59/48.
528
Let j(y) = y**3 + 14*y**2 - 17*y - 18. What is the smallest common multiple of 22 and j(-15)?
132
Let w(y) = -y**3 - 35*y**2 + 69*y + 94. Calculate the smallest common multiple of 9 and w(-37).
279
Find