10
Let s = 165 + -153. Calculate the lowest common multiple of 24 and s.
24
Let d(t) = 17*t**3 - 1. Suppose 4*q = q + 3. Suppose -m + 8 = 2. What is the smallest common multiple of m and d(q)?
48
Let z = 1245/2 - 651. Calculate the common denominator of z and 133/12.
12
Suppose -7 + 37 = 5*o. Calculate the least common multiple of 8 and o.
24
Let l = 872 + -2573/3. Calculate the common denominator of 25/3 and l.
3
Suppose 0*c - 41 = -4*c - u, 5*c - 4*u = 25. Suppose 4*i - 31 = -x, i + 2*x = 11 + 2. What is the smallest common multiple of i and c?
63
Find the common denominator of ((-3)/(-9))/(18/128) and -163/30.
270
Let z be ((-30)/9)/((-2)/3). Suppose -3 = -2*d + z*y, 4*d + y = 6*y + 21. What is the least common multiple of 10 and d?
90
Let t = -2988 - -26950/9. Let y(a) = -a**3 + a**2 + 2. Let s be y(2). What is the common denominator of t and (22/(s + 1))/(-5)?
45
Calculate the lowest common multiple of 8 and 10 - (-5)/(20/(-8)).
8
Suppose 2*t = -2*t + l - 3, 4*t + l = -5. Let j(s) = s**3 - 7*s**2 + 6*s + 1. Calculate the lowest common multiple of j(6) and (3/t)/9*-15.
5
Let c be 19077/10 - 3/12. Let a = c + -1902. Find the common denominator of a and -19/16.
80
Suppose -a = 2*i + i - 33, -4*i + 3*a + 57 = 0. What is the lowest common multiple of 4 and i?
12
Let n be ((-106)/4)/(2/(-148)). Let h = 31389/16 - n. Let y = -18849 + 414567/22. What is the common denominator of y and h?
176
Suppose 6 + 14 = n. Calculate the lowest common multiple of n and 22.
220
Suppose -4*n + 4 = 0, 4*c - 4*n - 1 = 31. Let s(h) = -h**2 - 11*h + 16. What is the lowest common multiple of c and s(-12)?
36
What is the common denominator of -67/16 and 2/(36/219) + -2?
48
Suppose 3*o + 5 = -4*r, r - 5*r - 7 = o. What is the lowest common multiple of ((-69)/(-3))/1 - o and 18?
198
Suppose -80 = -5*b - 5*s, 5*b + 2*s - 71 = -0*s. Let i = 1693 - 6823/4. What is the common denominator of b*(-6)/(-22)*-1 and i?
44
Let s = 10 + -12. Calculate the smallest common multiple of 8 and (0/(-3) - s) + 20.
88
Let r(t) = -t - 2. Let x be r(0). Let s be (-1)/x*-6 + 3. Let a(j) = j + 11. Calculate the least common multiple of 7 and a(s).
77
Let y be 18/(-12) + (-173)/(-2). Find the common denominator of (-17)/(-3)*(-2)/(-2) and y/15*(0 + 4).
3
What is the least common multiple of 12 and ((-16)/(-5))/((-12)/(-30))?
24
Let j = -14 - -30. Calculate the least common multiple of 62 and j.
496
Let i = -2 - -4. What is the lowest common multiple of (-8 - -2)*(-3)/i and 6?
18
Let b = -937 - -1755. Let y be ((-2)/10)/((-2)/8266). Let p = b - y. What is the common denominator of 52/9 and p?
45
What is the common denominator of (-3)/(-6)*37/(-9) and -83/20?
180
Let t(u) = u**2 - 4*u + 4. Let n be t(5). What is the common denominator of (-2)/n + 755/(-450) and (-10)/8*2/30?
60
Suppose 10*o - 24 = 8*o. Calculate the lowest common multiple of 40 and o.
120
Let k(w) = w**2 + 4*w + 1. Let l be k(-4). Calculate the least common multiple of -3*(l - 20/4) and 16.
48
Let a = 6 - 3. Suppose 2*z - a = -13. Let x = z - -9. Calculate the least common multiple of 8 and x.
8
Suppose 3*i = -2*x + 32, -3*i + 11 = x - 11. What is the common denominator of (-2)/1 - (-117)/x and ((-2)/(-24))/((-1)/178)?
30
Let j = 34 + -6. Calculate the common denominator of -35/6 and (-10)/70 - 1074/j.
6
Let i = 1861951/51 + -36510. Find the common denominator of i and -1/5.
255
Suppose 0 = -5*w + 1778 + 5352. Let i = -15669/11 + w. What is the common denominator of i and 40/9?
99
Let k = 0 + 6. Suppose -10 = -j - 4. Calculate the least common multiple of (-4)/(-3) - 2/j and k.
6
Let w(v) = -3*v - 2. Let q be w(-9). Suppose -2*y = 3*y - q. What is the lowest common multiple of y and 8?
40
Find the common denominator of (-14)/(-3)*7/(-2) and (-2)/9 + 17/(-9).
9
Let a be -2*14/(-4)*6. Let x be ((-3)/9)/((-1)/a). Let t = x + -8. Calculate the least common multiple of 12 and t.
12
Let a = -24 + 74. Calculate the lowest common multiple of 12 and a.
300
Calculate the common denominator of 12/5 and (-520)/(-105)*(-2 + 14/4).
35
Let b be ((-112434)/20)/(-3) - -1. Let k = -1873 + b. Calculate the common denominator of k and ((-336)/35)/(99/(-30)).
110
What is the lowest common multiple of 7 and (4 - 1) + 0 + 7?
70
Let y = 3096422/1045 - 27342/95. Let c = -2673 + y. Find the common denominator of c and 62/9.
99
Let y(c) = -8*c - 2*c**3 + 2*c**3 - 3*c**2 + c**3 + 8*c**2. What is the least common multiple of y(-6) and 4?
12
Let i(j) = -j**2 + 8*j - 5. Let n be i(7). Suppose -f = n*f - 30. What is the smallest common multiple of ((-3)/(-5))/(25/250) and f?
30
Let s = -612/5 - -4499/35. Find the common denominator of s and -29/4.
28
Let v = -6279/17 - -372. Calculate the common denominator of -151/6 and v.
102
Let k = 4 - -1. Let b(j) = j**3 - 6*j**2 - 6*j - 9. Let m be b(7). What is the smallest common multiple of k and 1 + m - (-7)/1?
30
Let u = -905/63 - -99/7. What is the common denominator of 30/7 and u?
63
Suppose 58 = 4*d - 30. Calculate the least common multiple of 16 and d.
176
Let v be 2*(27595/13798 + -2). Let g = v - -262173/75889. Find the common denominator of g and -26/3.
33
Let a be 3 + (1 - 3/3). Let g be (48/18)/(2/a). Find the common denominator of 483/(-60) + (-1)/g and -81/20.
20
Let n(j) = 3*j - 1. Suppose 45 = -m + 6*m. Let u be n(m). Suppose -u = -5*r - 6. What is the lowest common multiple of 4 and r?
4
Suppose 0 = 4*m + m - 15. Suppose b - f - m*f = 32, -3*b - 4*f + 48 = 0. Calculate the lowest common multiple of 10 and b.
20
Let h(c) = -145*c - 1. Let k be h(-3). Let l = k - 4451/10. Find the common denominator of l and (39/72)/(1/15).
40
Let o(m) be the first derivative of -m**3/3 + 4*m**2 - 4*m - 2. Calculate the lowest common multiple of 2 and o(6).
8
Calculate the least common multiple of (12/8)/(-3)*-22 and 2.
22
Let r = 1285699/6 - 212179. Let o = 2096 - r. Find the common denominator of o and 21/17.
102
Let c(y) = -y**2 - 7*y - 6. Let r be c(-7). Find the common denominator of (-178)/(-12)*r/(-16) and -2 - (1 + 117/30).
80
Let y = 106/21 - 40/7. What is the common denominator of (0 - 44)*(1 + -2) and y?
3
Let u = -20/21 + -101/63. What is the common denominator of 19/6 and u?
18
Let o = -1009/392 - -22/49. Find the common denominator of -19/20 and o.
40
Let a = -103/5 + 497/20. Find the common denominator of a and -49/10.
20
Find the common denominator of -27/8 and 201/(-30) - (-9)/(-3).
40
Let h = -101103549/20 - -5053246. Let f = h + 3855/2. Find the common denominator of f and -55/2.
20
What is the least common multiple of (-106)/(-6) - 12/(-36) and 82?
738
Let q(x) = 4*x**3 - 3*x**2 + 2*x - 2. What is the smallest common multiple of q(2) and (-1320)/(-84) + (-2)/(-7)?
176
What is the common denominator of -47/22 and (-3 + 4/(-5))*3?
110
Let k = -1413/35 + 234/5. What is the common denominator of k and (3/15)/(4/(-850))?
14
Let z = 79 + -211. Let q be z/8*(-191)/(-21). Let h = -293/2 - q. What is the common denominator of 63/4 and h?
28
Suppose k + 15 = 3*n - 2*k, -n + 5*k = 7. Calculate the smallest common multiple of 9 and n.
72
Suppose 3*k = 2*a + 5, -4 + 3 = -5*a + 3*k. Suppose -5*j - 36 = -a*v, -v + 3*v = -3*j + 4. What is the smallest common multiple of v and 1?
8
Let q be 3/(-9)*21/(-1). Let z = 10 - q. Suppose i - 4 = z. What is the lowest common multiple of 3 and i?
21
Let n be (-4 + 3)*-1 - -3. Suppose 87 = 4*z + 5*y, 57 = n*z + 3*y - 8*y. What is the least common multiple of 6 and z?
18
Let r be 36399/1332 - (5 + -3). Let z = -1/148 - r. Suppose 4 = -2*s, 3*s - 6*s + 92 = 2*t. What is the common denominator of z and t?
3
Calculate the common denominator of (2 - 2) + 76/(-20)*3 and -139/36.
180
Suppose 0 = -3*i + 7 + 2. Suppose 0*y = i*y - 6. What is the common denominator of -25 - (0 - y/3) and -65/3?
3
Find the common denominator of ((-6)/(-44))/((-30)/(-320)) and 10/(-35) - (-87)/35.
55
Suppose 14 = -k + 2*k. What is the smallest common multiple of k and 8?
56
Let t(q) = 0*q - q + 8 + 7*q + q - 2*q**2. Let i be t(6). Calculate the least common multiple of (-6)/(-33) - 18/i and 7.
7
Let b(f) = f + 2. Let z be b(-6). Calculate the least common multiple of 20 and (-14)/z*108/63.
60
Let p = -1034/5 - -200. Let d = -2118 + 6430/3. Find the common denominator of p and d.
15
Suppose -26 = -4*y +