Suppose 0 = -3*p - a + 191, -6*p + 273 = -2*p + 5*a. Let w = -23 + p. Find the common denominator of w and 1/(-2) - 306/(-6).
2
Let d = -20 + 28. Suppose -4*f = -36 + d. What is the smallest common multiple of 2 and f?
14
Let l be (-4)/6 + 10816/60. Let m = l + -8177/45. What is the common denominator of -44 and m?
9
Suppose 0*r + 4*r = -32. Let j = r - -15. What is the lowest common multiple of 3 and j?
21
Let g(y) be the first derivative of 5*y**2/2 - 5*y - 2. Let j be g(6). Suppose -o + j = 7. Calculate the least common multiple of 20 and o.
180
Suppose 0*g + 4*o = -4*g + 36, -2*o + 42 = 5*g. Let r = 30 - 21. What is the lowest common multiple of g and r?
72
Let a(c) = 2*c. Let k be a(1). Let h = -3 + k. Find the common denominator of (3/21)/(h/(-53)) and 43/11.
77
Suppose 2*p = 1 + 3. What is the least common multiple of p and 6?
6
Suppose 5*v - 3 = -3*w, w = 2*v - 0*v + 1. What is the lowest common multiple of 4 and w?
4
Suppose -5*g + 5 = -15. Find the common denominator of (-2)/(-18) + (-1665)/162 and (-1)/2*g/(-18).
18
Let k(t) = -t**2 + t - 57. Let l be k(0). Let j be 7/6*(-3 + -35). Let g = j - l. Find the common denominator of -10 and g.
3
Let s = 57 - 41. What is the smallest common multiple of s and -1*18*-1*1?
144
Suppose 6*g + 88 = 10*g. Calculate the lowest common multiple of g and 80.
880
Let o(q) = 3*q + 1. Let z = 14 - 12. What is the lowest common multiple of o(z) and 8?
56
Let s be 2 + -2 + 0 + 6. Calculate the smallest common multiple of 4/(s/3) + 0 and 7.
14
Let q be 141 - (4 - 2/2). Find the common denominator of -1/16 and q/(-36) + 0 + -1.
48
Let x be (12/(-8) - -2)*-2. Let g = x - -11. Calculate the lowest common multiple of g and 11.
110
Let s = 13 + -9. What is the lowest common multiple of s and 4?
4
Let f be (6/3)/(2/(-7230)). Let l = f + 43277/6. Let x = -126607/198 - -6972/11. Find the common denominator of x and l.
18
Let g = -1837 - -267. Let u = -29843/19 - g. What is the common denominator of 45/8 and u?
152
Suppose 0 = 5*c - 9*c + 88. What is the least common multiple of c and 34?
374
Let z(j) = -j + 17. Calculate the least common multiple of 5 and z(10).
35
Suppose 5*p + 2*v = -13, 4 + 9 = -p - 3*v. Calculate the common denominator of 22/(-12)*3*(-2)/(-9) and (-1)/p*(-54)/(-10).
45
Let m = 3/1828 - 33839/12796. Calculate the common denominator of m and (9/(-22))/(-1) - -1.
154
Suppose 3*m - 153 = -45. Calculate the lowest common multiple of m and 27.
108
Let p = -10 + 14. Let n be p/((-13)/(-12) - 1). Calculate the smallest common multiple of (6/(-4))/((-4)/n) and 14.
126
Let b be ((-11)/4 - -3)*-4. What is the common denominator of -1 - (89/2 - b) and -93/4?
4
Let x(a) = -a**2 - 11*a - 2. Suppose 5*m + 53 = v - 5*v, 0 = -3*m - 5*v - 37. Calculate the smallest common multiple of 12 and x(m).
48
Calculate the smallest common multiple of ((-54)/(72/8))/((-1)/2) and 15.
60
Suppose -5*c + 57 = -i, -2*c + 20 + 7 = i. Calculate the least common multiple of c and 2.
12
Let f(h) = -37*h**2 - 5*h + 18. Let n be f(-13). Let g = n + 55586/9. Find the common denominator of g and -21/2.
18
Let d = 79225039/5170 - 2192672/143. Let u = d + 48/611. Let v = -4661/968 + -3/968. Find the common denominator of v and u.
110
Find the common denominator of 12/(-90) + (-2002)/60 and 89/22.
22
Let q = -4613/6 - -745. Find the common denominator of 91/12 and q.
12
Let f(a) = -a**2 - 8*a + 9. Let u = -1 - -15. Calculate the lowest common multiple of u and f(-7).
112
Let h = -1 + 5. What is the common denominator of (-87)/(-10) - (0 - -1) and (-29)/(-1)*h/88?
110
Suppose 3*w - 73 = -4*q + 443, 3*q - 3*w = 366. What is the common denominator of 17/5 and q/(-15)*(-2)/(-6)?
5
Let c = 7 - 5. Calculate the lowest common multiple of 20 and c.
20
Let v(a) = 14*a**3 - 2*a**2 + a. Calculate the lowest common multiple of v(1) and 8.
104
Suppose -3*o = -6*o + 5*m + 79, 0 = 5*o - 3*m - 137. Suppose 0 = -2*z - 4*b + 48, -z - 3*b = -0*z - o. What is the smallest common multiple of z and 20?
80
Let d = 6992/2431 - 20/187. Calculate the common denominator of -19/6 and d.
78
Find the common denominator of (-225)/(-36)*(-38)/(-15) and ((-6)/9)/(28/(-177)).
42
Let g = -7195178/95 - -379282/5. Let q = -38519/342 + g. Calculate the common denominator of (0 - -1)/((-8)/(-34)) and q.
36
Let f(g) = 4*g + 1. Let z be f(1). Suppose 3*b - 27 + 225 = -4*w, -2*w + 264 = -4*b. Find the common denominator of -21/20 and (3/z)/(b/(-105)).
220
Let l = 3536214182461/4466 - 791807927. Let t = -50/319 - l. Find the common denominator of 79/10 and t.
70
Suppose -5*w - 2*j + 122 = 0, -3*w = -0*w - j - 82. Suppose -19 = k - 2. Let n = w + k. Calculate the smallest common multiple of n and 10.
90
Let f = 3 - 2. Suppose 2*c - 32 + 10 = 0. What is the least common multiple of f and c?
11
Suppose 0*p - p + 6 = 0. Suppose 2*a - p = -a. Calculate the least common multiple of 11 and a.
22
Suppose 0 = -0*d - 2*d + 22. Calculate the least common multiple of d and 8.
88
Let k = 40 - 20. Suppose 2*q = 2 + 8. Suppose -4*o = -q*z + 102, 4*z + 4*o = -z + 78. Calculate the least common multiple of z and k.
180
Let y be 12/56*17419/3. Let f = 1243 - y. What is the common denominator of -1 + (19/(-18) - -1) and f?
126
Let w = -16197/2110 + -5/211. What is the common denominator of w and 53/62?
310
Let h = -32 - -33. Suppose -18 = -5*x + 3*x. Calculate the lowest common multiple of x and h.
9
Suppose -4*m + 2*t + 7 - 29 = 0, -3*t - 17 = 4*m. Let p(k) = -86*k + 2. Let d be p(-2). Find the common denominator of -149/6 and d/m*3/(-24).
60
Let n = 43082766 - 475027416/11. Let a = n - -216633/2. Let z = -6775 + a. Calculate the common denominator of z and -29/2.
22
Let g = -19 + 25. Suppose g*w - 46 = 38. Calculate the lowest common multiple of w and 8.
56
Let f(a) = -a + 5. Suppose 4*z = 26 + 14. Calculate the smallest common multiple of z and f(-1).
30
Let i = -119 + 122. What is the smallest common multiple of i and 15?
15
Let g be 4/(-5)*20/8. What is the common denominator of -81/16 and 3/24*g*53?
16
Let f = 3 - -6. What is the least common multiple of 2 and f?
18
Suppose -2*a = 5*x + 150, -5*a = 2*x - x + 53. Calculate the common denominator of (2 - 27)*x/90 and 13/9.
9
Suppose 5*w - 21 = 9. What is the lowest common multiple of w and 14?
42
Let k = 1 - 2. Let x = -6 - k. Let m = 12 + x. Calculate the smallest common multiple of 3 and m.
21
Let v = 18/157 + 9191/628. Let n = 327/44 - 57/11. Let p = v - n. What is the common denominator of p and 25/18?
18
Suppose 9 + 4 = 2*v + w, 5*w = -4*v + 23. Let g(i) = i + 10. Suppose n - 6 = 3*n. Calculate the smallest common multiple of v and g(n).
7
Let k = -2862932275/597144 - -5/298572. Let v = 4805 + k. Find the common denominator of v and 37/6.
24
Let y = 38 + -14. What is the lowest common multiple of 10 and y?
120
Let s(p) = 8*p + 41. Calculate the smallest common multiple of s(-5) and 20.
20
Let z = 1655 + -26489/16. Calculate the common denominator of z and ((-46)/10)/((12/5)/6).
16
Find the common denominator of -51/4 and ((-1)/(-12))/((-8)/183).
32
Let p(u) = -u + 35. What is the least common multiple of p(25) and 32?
160
Calculate the common denominator of -5 and (18 - 11)/(10/(-7)).
10
Let s be (-13)/2 - 2/(-4). Calculate the common denominator of -29/4 and s/18 - 278/(-24).
4
Let k = 1153/2 + -558. What is the common denominator of -119/10 and k?
10
Suppose 5*s = 4*s + 186760. Let o be 688484/s + (-4)/10. Let k = -1/1334 + o. What is the common denominator of k and -79/10?
70
Let l = 369/2 - 193. Let z(x) = x**3 + x**2 - x - 2. Let j be z(-2). What is the common denominator of j + 2 + 9/20 and l?
20
Let f = -8421/11 - -765. Calculate the common denominator of f and (-3)/(-1) + 201/(-21).
77
Suppose -j + 3*j = 152. What is the smallest common multiple of j and 2?
76
Let t be 1/(-6)*-3*6682. Let b = t + -40117/12. What is the common denominator of b and 67/10?
60
Calculate the common denominator of 93/9 + (0 - -1) and 112/11*(-4)/8.
33
Let c = 151/6 + -25. What is the common denominator of c and -95/12?
12
Let z = -708 - -2060/3. What is the common denominator of 65/3 and z?
3
Suppose 3*p - 7*p + 5*r = 12, 5*r - 30 = -5*p. Calculate the least common multiple of p and 14.
14
Let y = 5478 + -43737/8. What is the common denominator of -