 z = 207911/18 - 11555. Let r = -164/13 + 2199/130. What is the common denominator of r and z?
90
Suppose -4*x = 4, -x = 2*w - 4*w + 5. Suppose u + a - 18 = 0, -2*u = -5*a + 4 - 19. What is the lowest common multiple of 9 and ((-27)/u)/(w/(-10))?
9
Let m(q) = -5 + 2*q + 2 + 2 + 2. Let j be m(2). What is the common denominator of 0/j + (-202)/28 and -22/9?
126
Find the common denominator of (12/240)/(2/325) and 4 - ((-292)/(-88) - 2).
88
Let n be (-2)/4 + (-18296)/32868. Let s = -1/913 - n. Find the common denominator of 4/(-4) + 894/144 and s.
72
Let k be -4 - (3 - 275118/(-84)). Let q = 3279 + k. What is the common denominator of 95/4 and q?
28
Suppose 230031 = -16*q + 85951. Let y = q - -107929/12. Calculate the common denominator of y and -58/45.
180
Let k be -716*(16/(-72))/((-2)/(-3)). Let f = 235 - k. What is the common denominator of -83/18 and f?
18
Suppose -36 = 3*b - 0*b. Let i = 24 + b. Let x = i + -10. What is the least common multiple of 12 and x?
12
Let i = 107743/16 - 6740. Find the common denominator of i and -49/526.
4208
Let j = 17 - -4. Calculate the lowest common multiple of 11 and j.
231
Suppose 225 = 10*l - 7*l. What is the least common multiple of 15 and l?
75
Suppose -5*n + 11 = 4*g - 6, -n - 11 = -4*g. Suppose 2*q = -h - 0 + 3, h = q + g. Let k(i) = i**2 + 8*i. Calculate the lowest common multiple of h and k(-9).
9
Let d = 22 - 26. Let h(z) = z + 4. Let l be h(d). Suppose l = -b + 4*y - y - 1, 3*y - 41 = -4*b. What is the smallest common multiple of 6 and b?
24
Let c = 15064 + -1446241/96. Find the common denominator of 29/16 and c.
96
Let i be ((-1 - -3)/(-6))/(7/(-84)). Suppose i*r - 44 = -12. Suppose 14 = 2*q - 3*z - 5, q = -z + 12. What is the lowest common multiple of r and q?
88
Suppose -g + 4 = g. What is the common denominator of g - (-2)/(-32)*-61 and (-2)/20 - 2 - -1?
80
Calculate the common denominator of 15/14 and 312/1088 - (-2 - -2).
952
What is the lowest common multiple of 7 + (62 - (-90)/(-10)) and 462?
4620
Let b(c) = -260*c + 1. Let z be b(-4). Let s = 4143/4 - z. Let a = -77039/12 + 6413. Find the common denominator of a and s.
12
Let l(y) = 9*y**2 + y**3 + 10 + 8*y - 11*y**3 + 5*y**3 + 6*y**3. Calculate the least common multiple of 20 and l(-8).
20
Let m(h) = 3 + 9*h**2 + h**2 - 7*h - h + 0 - h**3. Calculate the least common multiple of 54 and m(9).
108
What is the lowest common multiple of 2/8 + 2175/100 and 776?
8536
Suppose 19*f + 125 - 581 = 0. Suppose j = 5*j + f. Calculate the common denominator of -43/4 and j.
4
Suppose -9*o = -2*o + 308. Find the common denominator of 49/4 and -2*58/o - 0.
44
Suppose -10*k + 75 = 25. What is the smallest common multiple of 266 and k?
1330
Suppose 3*i - 3 = 0, 5*l = -0*l + 5*i + 260. Suppose 3*v + l = -7. Let p = v + 22. What is the smallest common multiple of p and 10?
10
Let h = 16388 + -246014/15. Let m = 1939/165 + h. Calculate the common denominator of m and 3 + (-7)/(147/(-48)).
77
Let k = 2 - -10. Let o(h) = h**2 - 11*h - 5. Let p be o(k). Suppose 4*i = p*i - 48. Calculate the smallest common multiple of i and 2.
16
Let c = -11034 + 220601/20. Find the common denominator of c and 8/68 + (-301)/102.
60
Let x be -1 - -4 - (6*-2 + -1). Suppose 20*c - 36 = x*c. Calculate the lowest common multiple of c and 11.
99
Let j = 19242 - 1693257/88. Find the common denominator of j and 41/116.
2552
Let p = 8819/3474 - -14/193. What is the common denominator of -139/18 and p?
18
Suppose 2*l - 3 - 23 = -v, l + 2*v = 7. Calculate the smallest common multiple of 30 and l.
30
Calculate the common denominator of 31/28 and (58/15*-1)/(2352/(-140)).
252
What is the lowest common multiple of 36 and (3/4)/(-3 - 150/(-48))?
36
Let x = 449369/2266 + -2179/11. Find the common denominator of x and -143/18.
1854
Let m(s) = 2*s**2 - 52*s - 140. What is the least common multiple of m(31) and 16?
1360
Suppose -414 = -7*j - 2*j. Find the common denominator of (1/(-2))/(57/j - 1) and 5/3.
33
Suppose 13 + 16 = d - 4*f, -f = -2*d + 65. Suppose 3*n - d = -15. Calculate the least common multiple of 7 and n.
42
What is the common denominator of 9/32 and 10/((-600)/(-9))*59/(-36)?
480
Calculate the common denominator of -42/145 and (1/(-14))/(4*75/(-4680)).
1015
Let h be (-2 + (2 - 1))*-13. Let n = h - 1. Calculate the least common multiple of 4 and n.
12
Let c = 29710/33 - 2687/3. Let p be 24*(-2 - -2 - -1). Suppose 4*a - u - 9 - 10 = 0, 0 = 5*a - u - p. Find the common denominator of c and a.
11
Suppose -2*x + 27 = -3*p - x, 2*p - 4*x + 18 = 0. Let s(r) = 2*r + 19. What is the lowest common multiple of 1 and s(p)?
1
What is the least common multiple of (-1 - -21)*(52/8)/13 and (-7 - -8)/(1*3/30)?
10
Suppose -4*f + 7 + 5 = 0, -3*t + 4*f = 0. Suppose -t*a + 23 + 9 = 0. Suppose -o - 5 = -g, g + o = -o + a. Calculate the least common multiple of g and 5.
30
Let v = -12594 - -37849/3. Let o = -116/3 + 28. Calculate the common denominator of v and o.
3
Let z = -33 + 26. Let k = 4 - z. Calculate the smallest common multiple of 7 and k.
77
Let o = 77825/12 + -6476. What is the common denominator of 115/12 and o?
12
Suppose -6*b - 50 + 206 = 0. What is the least common multiple of b and 172?
2236
Let b = 117 - 69. What is the common denominator of -71/4 and 1/2 - 103/b?
48
What is the smallest common multiple of 7 and ((-21)/(-6))/(40/(-16) + 3)?
7
Let r(w) be the third derivative of -w**5/60 - 5*w**4/12 + 11*w**3/6 + 2*w**2. Let n be r(-8). Calculate the common denominator of n/18*(-26)/6 and -3/5.
10
Let c = -8 - -14. Let t(i) = 10*i**3 - 6*i**2 + 4*i**2 - 2*i**3 - 1 + 2*i + i**3. Calculate the smallest common multiple of t(1) and c.
24
Let k = -29 + 44. Suppose 5*n = k, -9 - 2 = 2*z - 5*n. Suppose 0 = z*l + 15 - 31. Calculate the least common multiple of 2 and l.
8
Suppose -2*q + 2*u + 11 - 1 = 0, -3*q - u - 5 = 0. Suppose -5*y - 15 = q, 5*k - 37 = y + 6. What is the lowest common multiple of 8 and k?
8
Calculate the least common multiple of 6/(-39) + (-595)/(-65) + 4 and 22/4*(0 - -2).
143
Let p = -2809/4 + 697. Calculate the common denominator of p and (-22)/(-176) - 241/(-312).
156
What is the common denominator of 1/(-3) + (-889)/(-210) and -17/314?
1570
Suppose -55 - 25 = 8*f. Calculate the common denominator of f/136*(-1)/((-3)/(-60)) and 250/42 + (-2)/(-6).
119
Suppose 0*t - t = 0. Suppose -c + 6 - 2 = t. Suppose 0 = -3*l - 4*s + 38, 0 = 4*l - c*s - 3 - 1. Calculate the smallest common multiple of l and 8.
24
Let t = -11 + 8. Let v be (t - 1)/(1/(-1201)). Let g = v + -47979/10. What is the common denominator of 101/6 and g?
30
Let u(w) = -4*w**3 + w**2 + w + 1. Let f be u(-1). Calculate the lowest common multiple of -2*(-48)/3 - 10/f and 15.
30
Suppose -2*w + 75 = 13*w. Calculate the smallest common multiple of 4 and (0 + w)*48/30.
8
Calculate the common denominator of (-2)/(48/1284) + 5 and 2 - 51*1/(-8).
8
Let f be 4/18 - 392/63. What is the common denominator of -2 + ((-255)/(-18) - 2) and 446/84 + (-2)/f?
42
Let s = 492487/34 - 14482. Calculate the common denominator of s and 121/18.
306
Suppose -176 = 12*a - 704. Let h = a + -30. Calculate the least common multiple of 58/2 - (1 + 0) and h.
28
Suppose 4*d = 9*d - 275. Let c = 17917/1770 + -4/177. Find the common denominator of (3 - 140/d)*-4 and c.
110
Let q = 2041 + -1920. Calculate the smallest common multiple of q and 8.
968
Let z be (-1)/((-12)/18)*4/3. Suppose -3*o - s - 2*s + 27 = 0, z*o - 39 = 5*s. Calculate the lowest common multiple of 22 and o.
132
Let r(t) = t**2 + 5*t - 21. Let m be r(3). Suppose -2*l + l + 20 = z, -l - m*z = -18. What is the lowest common multiple of l and 33?
231
Let s be (-1 - -8)*(-590)/8. Let n = s - -522. What is the common denominator of n and 17/6?
12
Let t be (4/12)/(3/36*4). Calculate the common denominator of -76/21 and (-4 - -118 - -4)*t/54.
189
Let x = -8893/2332 - 1/212. Calculate the common denominator of x and -47/14.
154
Let t be 2/(((-16)/(-60))/2). Let v = -1550 - -7793/5. Find the common denominator of v and t/6*(-1)/20.
40
Suppose 5*l - 15 = -5*s, 2*s = -2*l - l + 9. Suppose f + l - 7 = 0. What is the least common multiple of f and 18?
36
Let k be (-1)/5*1 + 5586/(-47670). Let i = k + 10625/2724. What is the common denominator of i and 51/16?
48
Let q = 74 - 171. Let c = q - -11