. Let k = y - 1207795/42. What is the common denominator of -61/15 and k?
210
Suppose 0 = 10*w - 16*w. Suppose 3*h + l - 42 - 4 = w, h + 4*l - 8 = 0. Calculate the lowest common multiple of 20 and h.
80
Let m(n) = -2*n - 10. Let d = -1 + 6. Suppose 6*u - 2*u - 4*g - 20 = 0, 0 = -d*u + 3*g + 21. What is the smallest common multiple of m(-9) and u?
24
Suppose 3*s - 3*l = -9, 0 = 5*s - 2*l - 2*l + 10. Suppose -s*y = -34 + 22. What is the lowest common multiple of 14 and y?
42
Let f(b) = -b**2 + 8*b + 6. Suppose 0 = -5*o + 10*o - 15. Suppose 0 = 4*r - 17 - o. What is the least common multiple of f(8) and r?
30
Suppose -4*x - 15 = o, -7*x - 15 = o - 2*x. What is the common denominator of (-5)/o*558/28 and 121/18?
126
Let z = -25 + 30. Suppose -2*p = 2*v - 20, 26 = 5*p - z*v - 14. Calculate the least common multiple of 10 and p.
90
Let d = 333 - 328. Suppose 3*y - 49 = -2*y - 4*w, 4*y - 36 = -4*w. Suppose -y = 2*x - 33. Calculate the least common multiple of d and x.
10
Let x(n) = n**2 + 5*n - 5. Let g be x(-6). Calculate the common denominator of (17 - (-2 + g))*138/92 and 13/8.
8
Let m = 680 + -536. What is the smallest common multiple of 144 and m?
144
Let u = 121 - 211. Calculate the common denominator of (u/16)/((-1)/(-4)) and (75/32)/((-1)/2).
16
Calculate the smallest common multiple of 12 and ((-32)/(-3))/(((-154)/168)/(-11)).
384
Suppose 0 = 2*b + 48 - 118. Suppose -14*t - b = -19*t. Calculate the lowest common multiple of 10 and t.
70
Suppose -5*k = -7*k + 10, 0 = l + k - 61. Calculate the smallest common multiple of l and 24.
168
Let i = 81/11 + -371/22. What is the common denominator of 49/30 and i?
30
What is the common denominator of 40/33 and ((-812)/261)/((-94)/(-6))?
1551
Let u = 4436/21 + -211. What is the common denominator of (-1911)/70*30/108 and u?
84
Suppose 2*p = 10, 13*p - 19 = -b + 10*p. Calculate the smallest common multiple of b and (-18)/(2 - -1)*-1.
12
Let g be 3 + -2 + 5 + -3. What is the common denominator of 18/11 and (-73)/g*7/21?
99
Calculate the least common multiple of (23 - 4) + (33 - 34) and 244.
2196
Calculate the common denominator of (-2 - 283/(-5))*1/6 and ((-7)/(-14))/(9/57).
30
Suppose 35*d + 5 = 30*d. What is the least common multiple of (-11 - -13)/(d/(-22)) and 12?
132
Let z = 17121/8 + -2144. Calculate the common denominator of 37/10 and z.
40
Find the common denominator of 2*1/15 - 76281/16920 and 41/1782.
7128
Suppose -15*w + 3*w = -1440. Let l = w + -110. What is the lowest common multiple of l and 8?
40
Calculate the least common multiple of (29 + -1)*(-4 + (-440)/(-77)) and 20.
240
Let i = 138660 + -16639297/120. Find the common denominator of -133/24 and i.
120
Let u = -93409/21 - -4444. Calculate the common denominator of -113/18 and u.
126
Calculate the smallest common multiple of 204 and ((-15)/(-6))/((-160)/(-5376)).
1428
Suppose 0 = 3*f - 3*n - 9, 5 = -n + 2. Suppose -o = 5*r - 44, 3*o + f*o - 108 = -3*r. Suppose -26 - o = -6*t. What is the smallest common multiple of t and 8?
40
Let i = 65 + -41. Suppose 0 = -z - h + 29, -3*z + 8*z + h - 137 = 0. Calculate the lowest common multiple of z and i.
216
Let r = 237057/77 + -3079. Let t = 159/77 + r. Let f = -12861/2648 + -6/331. What is the common denominator of t and f?
88
Suppose 0 = 3*c + 4*b - 9339 - 358, -c - 2*b = -3235. Let v = 22647/7 - c. What is the common denominator of -10/37 and v?
259
Find the common denominator of 4 - ((-5708)/(-336) - 11) and 73/63.
252
Let h(u) = 13*u - 17. Let r = 10 - 0. Let f(q) = q**3 - 10*q**2 + q - 4. What is the smallest common multiple of f(r) and h(3)?
66
Suppose 4*w = 109 + 147. Suppose 32 = 2*f - 5*y, -2*y - 2*y = -4*f + w. Calculate the least common multiple of f and (-6)/((-9)/6*1).
16
Suppose 42 = 2*v + 16. Let s = -9 + v. Suppose s*h = 8*h - 56. Calculate the smallest common multiple of h and 8.
56
Suppose 5*s - 4*m = s + 36, 0 = 2*s - 5*m - 15. Let u be 4/(-10) + (-36)/(-15). Calculate the lowest common multiple of (-1 + -1)/((-1)/u) and s.
20
Suppose 0 = -5*k - 4*g + 36, -g = -3*k - 3*g + 22. Suppose f - 2*t = 8, 2*t = -f + 1 + 3. Calculate the smallest common multiple of k and f.
24
Suppose 4*v = 5*c + 34, 2*c - v + 36 = -2*c. What is the common denominator of (-1 - (-37)/4)*c/(-435) and -25/2?
58
Suppose 44 = -0*c + 4*c + 4*a, -2*c = -4*a - 16. Suppose 0 = 7*o - 12*o - 20. Let y = c + o. Calculate the lowest common multiple of y and 10.
30
Suppose 6*t + 224 = 10*t + 2*p, -p = 0. Calculate the common denominator of -67/3 and ((-323)/t - 0) + 20/160.
42
Let k = -441 - -458. What is the smallest common multiple of k and 5?
85
Calculate the common denominator of (2/10)/(240/(-2250)) and -13/172.
344
Let p = 11 - -7. Let u = 105039/20 + -5254. Find the common denominator of ((-7)/8)/(p/8) and u.
180
Let y be (100586/(-10776))/((-5)/3). Let s = 1/1796 - y. Find the common denominator of s and 0/(-2) + 5/(405/(-477)).
45
Let l = -4 - 10. Let x = l - -18. Suppose 4*r - 4 = x. Calculate the least common multiple of r and 22.
22
Let c(g) = 4*g - 23. Calculate the least common multiple of c(7) and 4.
20
Let h = 285 + -3993/14. Calculate the common denominator of h and -41/20.
140
Let n = 9 + -6. Suppose 3*q - 2*q = -n*j + 43, 59 = 4*j + 3*q. What is the smallest common multiple of 14 and j?
14
Suppose -5*a = -m + 208, a + 908 = 5*m - m. What is the smallest common multiple of 4*((-1)/4 + m/48) and 21?
126
Let b = 14659 - 175763/12. Let r = 5/8 + 15/8. Let a = -5/3 + r. Calculate the common denominator of b and a.
12
Let u = 56 - 52. What is the common denominator of ((-2)/u)/(5/23) and 34/65?
130
Suppose 147 = 3*w + 5*o, 2*w - 245 = -3*w + 4*o. Calculate the smallest common multiple of 98 and w.
98
Suppose -4*c = 2*s - 84, 4*c + 120 = 2*s - c. What is the smallest common multiple of s and 50?
50
Suppose -2*f + 4*f - 3*b - 13 = 0, 35 = 4*f - 3*b. Let s = 7 + f. Let n = s - -2. Calculate the smallest common multiple of n and 16.
80
Let f = 262/43 - 4795/1161. What is the common denominator of 53/6 and f?
54
Let t = 4121/99162 - 7833076499/4710195. Let q = t - -8306/5. Find the common denominator of 37/2 and q.
38
Let s = -14 + 18. Calculate the least common multiple of s and ((-152)/(-12))/((-2)/(-6)).
76
Let q(m) = m. Let g be q(0). Suppose g = -4*c + 12*c - 96. Calculate the lowest common multiple of 1 and c.
12
Let s(c) = -16*c + 13. Let j be s(-8). Find the common denominator of (-3 - j/(-48))/((-2)/(-268)) and -81/16.
16
Suppose 0 = 5*s + 4*f - 116, -4*s + 3*s = -f - 16. Calculate the lowest common multiple of s and 7.
140
Let k(u) = -29*u + 19. What is the smallest common multiple of k(-5) and 18?
1476
Calculate the common denominator of 192/(-45) - (-5 - -6) and -86/21.
105
Let i(x) = x**3 + 8*x**2 - 11*x + 4. Find the common denominator of i(-9) and -41/52.
52
Suppose 3*f - 7 = 5*w + 4, 2*f = -3*w - 18. Calculate the lowest common multiple of 4/((8/(-14))/w) and 20.
140
Suppose -5*j - 575 = -3*z, -5*j + 286 = 2*z - 89. Calculate the lowest common multiple of 130 and z.
2470
Let x = 15148253/6 + -2518207. Let u = x - 6520. Calculate the common denominator of u and ((-2)/6)/(2/92).
6
Let p = 2/33 + 725/1287. Find the common denominator of p and -41/26.
234
Let g(c) = -c**3 + 7*c**2 + 9*c - 3. Let i be g(8). Suppose 3*b - t = i, 1 + 5 = b + 4*t. What is the least common multiple of 3 and b - -5 - (-1)/1?
24
Let j = -856495/4 - -215282. Let q = 1167 - j. What is the common denominator of q and 55/9?
36
Let q = -13250479/303 - -43731. Find the common denominator of -10/27 and q.
2727
Let b = -10207 - -1153413/113. Calculate the common denominator of b and -64/9.
1017
Let x be (12/4)/(-6)*-10. Suppose 5*v = 3*p - 8 - 13, -x = -4*p - v. Calculate the common denominator of 23/8 and 3 + (126/15 - p).
40
Let o(y) = -y**2 - 6*y + 12. Let u be (-23 - -22)/(2/18). Let j be o(u). Let c = -13 - j. Calculate the smallest common multiple of c and 5.
10
Suppose 70 = 5*f + 5*y, -f - 28 = -3*f + 3*y. Let i = 1701 - 27241/16. Calculate the common denominator of 1/(-2)*110/f and i.
112
Let r = -47 - -53. Calculate the least common multiple of (-52)/(-2) - (7 + -8) and r.
54
Let a = 5829/4 + -52591/36. Calculate the common denominator of (-5)/(-10)*(-18)/(-10) and a.
90
Let t = -75 - -185. What is the common denomi