
1330
Let k be (-4588)/4590 + (-4)/(-4). Let m = 7139/2295 + k. Let a = 7/8 - 27/8. What is the common denominator of m and a?
18
Let u = 3534 + -24786/7. Suppose -y - 16 = 4*n, -2*n - 2*n = -5*y - 128. Find the common denominator of u and (y/28)/((-40)/(-378)).
70
Let c be ((-14)/483)/((-16)/6126). Let d = -68/69 - c. What is the common denominator of (-2244)/(-840) + 4/10 and d?
84
Let w = 444425/2808 + -2050/13. Find the common denominator of w and 85/21.
1512
Suppose -38*k + 36*k = -4. What is the least common multiple of 19 and k?
38
Suppose 2*d - 14 = -2*n, 3 = 5*d - 2*n - 25. Suppose 9*x - 96 = 3*x. What is the least common multiple of x and d?
48
Let f(k) = k + 4. Calculate the smallest common multiple of ((-18)/(-21))/((-1)/(-14)) and f(0).
12
Let q = -15 + 18. Calculate the least common multiple of (12/10)/(9/30) and q.
12
Let f(o) = o**3 - 9*o**2 - 4*o + 18. Let c be f(8). Let q = c - -93. Calculate the least common multiple of 6 and q.
30
Suppose 8*y - 3*y = 5*w - 40, -2*y = -w + 6. What is the smallest common multiple of 410 and w?
410
Let g(d) = 9*d. Let b be g(2). Let f be 3848/5 - b/(-45). Let v = -1501/2 + f. Find the common denominator of v and -145/6.
6
Let l be 3/((-15)/550) + 2. Let t = l + 124. What is the smallest common multiple of t and 16?
16
Let j(q) = -6*q + 125. Calculate the lowest common multiple of 8 and j(16).
232
Let y(f) = f**3 - 30*f**2 - 28*f - 61. Calculate the smallest common multiple of 128 and y(31).
128
Suppose 3*i - 2*i - 107 = -c, 2*i - 5*c = 235. Calculate the common denominator of i/(-42) - (-2)/7 and (-46)/207 - -1127*(-1)/(-90).
30
Let r = 20 - 12. Suppose -260 = 3*a - r*a. Suppose 4*s - w - a = 0, -2*s + 11 = -2*w - 9. Calculate the least common multiple of s and 10.
70
Let z = -266 + 273. Calculate the smallest common multiple of 2 and z.
14
Suppose 2*p = -2*h - p + 27, 0 = -4*h - p + 39. Let f(z) = z**3 - 10*z**2 + 10*z + 3. What is the least common multiple of 22 and f(h)?
132
Calculate the common denominator of -53/69 and 3/(15/(-2)) + (-19866)/30960.
552
Let q = 12 - -21. What is the smallest common multiple of q and ((-108)/48 - -3)*16/1?
132
Let s = 6602 + -118799/18. Calculate the common denominator of 0 + (-46)/(-40) + 0 and s.
180
Suppose -6*x - 102 - 138 = 0. Let a = x + 55. What is the lowest common multiple of 9 and a?
45
Suppose 7*l + 198 = 18*l. Calculate the lowest common multiple of l and 48.
144
Let t = 745 + -20759/28. Find the common denominator of -109/80 and t.
560
Let g = -101 + 110. Suppose 5*n + g = -3*d + 159, 3*n + 3*d - 96 = 0. What is the smallest common multiple of 6 and n?
54
Let r = 505 + -489. Suppose 31 = u + 7. What is the smallest common multiple of r and u?
48
Let v = 151 + -136. Calculate the smallest common multiple of v and 21.
105
Let y be (-67)/5 + 153/(-255). Let l = 1 - 2. Calculate the common denominator of 37/2 and (l - -60)/(y/1).
14
Suppose 0 = -19*o + 1088 + 3168. What is the lowest common multiple of 112 and o?
224
Let c(n) = 13*n + 509. What is the smallest common multiple of 24 and c(-33)?
240
Let r = 1967/5 - 41182/105. Let p = 575/42 - r. Let c = -76/15 + 22/105. Find the common denominator of c and p.
14
Let z(g) = 3*g**2 + 14*g + 20. Suppose 4*q = -4*l + l + 102, 3*q - 62 = 5*l. Let o = q + -16. Calculate the least common multiple of o and z(-2).
8
Let z(y) = -6*y**3 - 8*y**2 - 2. Let a be (-5)/(3/(3 - 0)). Let n(o) = o**3. Let t(r) = a*n(r) - z(r). What is the least common multiple of t(-8) and 5?
10
Suppose 33 = 4*r + 1. Suppose -3*v + 20 - 14 = 0, 5*z - v + 32 = 0. What is the lowest common multiple of (-26)/z + 4/36*-3 and r?
8
Let w be (-137316)/68656 + 0 + 2. Let m = 1407433/257460 - w. What is the common denominator of m and 71/8?
120
Find the common denominator of 151/12 and (-3 + 3288/1088)/3.
408
Let x(o) = -3*o**3 - 13*o**2 - 6*o + 13. What is the smallest common multiple of 12 and x(-5)?
372
Suppose q - 4*q = -3*t - 3, 0 = 4*q + 5*t - 22. Let i = 1 + 1. What is the smallest common multiple of 4 + q/((-15)/(-5)) and i?
10
Let j be (1974/(-732) - 3/(-6)) + 2. Let g = j + -1965/244. Calculate the common denominator of 113/12 and g.
12
Let s = -37498947/406 + 92362. What is the common denominator of 125/6 and s?
1218
Let w be -2 + 9/((-27)/(-6)). Suppose w = -2*u + 4*u. Suppose 4*s - 16 = -u*s. What is the least common multiple of s and 4?
4
Suppose -h + 4*j + 31 = 0, -j - 3 = -0. Find the common denominator of (-3)/12 + 281/(-12) and h.
3
Suppose 7*z + 4 = 8*z. What is the common denominator of z + -2 - 39/14 and -25/2?
14
Let f(n) = -n**2 + 30*n - 98. Let u be f(4). Let r(m) = -m**2 + 6*m - 8. Let k be r(6). Calculate the common denominator of -20/9 and u/k*(-1136)/72.
18
Let k = -751 - -776. Suppose 5*t - 141 = -16. Calculate the smallest common multiple of k and t.
25
Suppose 5*o = -2*d - 57, -d - 87 = 3*d + o. Let q = -9 - d. Calculate the least common multiple of 27 and q.
108
Let d = 73 + -79. Calculate the common denominator of d/18 + 47/(-2) and -52/9.
18
Let w = 28885/14 + -2058. Calculate the common denominator of w and -45/32.
224
Suppose 16*o - 66 - 30 = 0. Calculate the lowest common multiple of o and 2.
6
Let a = -47631 + 3334243/70. Find the common denominator of a and 47/6.
210
Suppose 5*o + 42 = 19*o. Suppose u = -3*j - o, 5*j + 3 = -u - 4. Calculate the lowest common multiple of u and 9.
9
Suppose 3*r + r = 4. What is the least common multiple of 3120/108 + (-1)/(-9) and r?
29
Suppose -4*o + 16 = -0*o. Suppose -a = -o*a. What is the common denominator of 139/12 and (-63)/8 - (a + -1)?
24
Let d = -28 - -8. Find the common denominator of (9/d)/((-4)/5) and 149/6.
48
Let p = -123 - -127. Suppose 2*w + 2*w - 20 = -p*t, -18 = -4*w - 3*t. Calculate the least common multiple of 2 and w.
6
Let w = -4897/253 - -372/23. Let x be -12 - (-2 + 2/1). What is the common denominator of 2 + ((-254)/x - 1) and w?
66
Calculate the least common multiple of ((-7)/(-2))/((-2)/(-8)) and 22.
154
Let z = -9411/6572 + 46/31. Find the common denominator of z and -19/44.
2332
Suppose 32*i - 30*i = 4. Let v(f) = 2*f**2 - 4*f + 3. Suppose 5*q = 10, -5*c + q + 4*q = 5. What is the smallest common multiple of c and v(i)?
3
Let h = 1263 + -1247. Calculate the smallest common multiple of h and 6.
48
Calculate the common denominator of -58/77 and -1 + 6 + ((-386835)/1980)/37.
924
Let v = -396881/450 + 7945/9. Find the common denominator of 93/14 and v.
350
Suppose -2*c = -14 - 2. Let j(h) = 7*h - 41. What is the smallest common multiple of 9 and j(c)?
45
Let i = -3006 + 60107/20. Let q be (2/(-8))/((-858)/22359). Let a = -20/143 + q. Calculate the common denominator of a and i.
40
What is the least common multiple of 1 + 16/40 + 346/10 and 36?
36
Suppose 4*b + 8 = 0, 5*y + 4*b - 5*b = 42. Let v = 61 + -57. Suppose -v*f = -f - 18. What is the lowest common multiple of y and f?
24
Suppose -2*b - 11 = -55. Calculate the smallest common multiple of 14 and b.
154
What is the common denominator of 665/1254*(-8)/5 and (-15)/(-25) + 88/270?
297
Let d = 1189 + -1179. What is the lowest common multiple of d and 140?
140
Let m = 6109140/643 + -9501. Let j be (3770/16075)/((-27)/(-525)). Let i = j + m. Find the common denominator of i and -26/7.
63
Let i be 29/2 + 45/(-30). Let q = i + -8. Calculate the least common multiple of 8 and q.
40
Let l be -1*(11 + -17 + 10). Suppose 0 = -r + 4*r + 282. Calculate the common denominator of r/20 + 3 + l and 29/5.
10
Let s(a) = a**3 - 13*a**2 + 15*a + 6. Let o(r) = 2*r + 12. Let z be o(0). Let h be s(z). What is the common denominator of 370/h - (-2)/(-14) and 5/7?
21
Let b = -21863/7520 - -1/940. Find the common denominator of b and -65/12.
96
Suppose 0*i = 5*l - 4*i + 216, 4*l = 3*i - 172. Let f be (-36)/108*(-5 + 2). Find the common denominator of (-6)/(f/(41/l)) and 57/50.
100
Let f = -5043 + 5068. Suppose -4*y = -4 - 0. What is the lowest common multiple of f and y?
25
Let a be 126/33 - (-2)/11. Suppose 0 = -3*z + 2*v + 19, -5*v = a*z - 39 - 17. Let g(j) = j**2 - 5*j - 4. Calculate the smallest common multiple of g(7) and z.
90
Let c be (4 - 2)*(3/(-2) - -1). What is the least common multiple of ((-9)/(-5))/(c/(-15)) and 15?
135
Let f = 5 - 2. Let h be 11 - (20/5 - 0). Suppose -h = -r + f. What is the lowest co