
Let u be -4 + (-1 - 1 - -9). Suppose 9 = -u*o + 12. Calculate the common denominator of o/4 - 406/8 and -29/8.
8
Let x be ((-28)/10)/7 - (-180422)/(-40). Let h = x - -4505. Calculate the common denominator of -101/20 and h.
20
Let n = 310183/52056 - 2/6507. What is the common denominator of 20*5/15*(-7)/24 and n?
72
Let b be (102213/66)/(5 + -2). Let w = b + -515. Calculate the common denominator of -57/16 and w.
176
Suppose 17 - 7 = 2*v. Suppose 133 - 141 = -2*b. What is the smallest common multiple of b and v?
20
What is the common denominator of -11/75 and 4 + (-28)/(-3)*(-54)/115?
1725
Let b = -1 - 2. Calculate the common denominator of 1/b*10 + (-5)/10 and -19/27.
54
Let f(t) = -2*t. Let d be f(-2). Suppose 27 = d*b - 29. Suppose -4*l = -2 - b. Calculate the least common multiple of 18 and l.
36
Let b = 1944548044/12893 - 150822. Let k = b - -1869509/154716. What is the common denominator of k and -61/18?
36
Let l(u) be the first derivative of -u**4/4 - u**3/3 - u**2/2 + 38*u - 7. Calculate the smallest common multiple of l(0) and 12.
228
Suppose 0 = 4*o - 4*s - 32, 0 = -o - s - 3*s + 23. Let l = -28 + 47. Suppose -5 = 14*v - l*v. What is the least common multiple of v and o?
11
Let f be (-2)/5 + (-1611)/(-15). Find the common denominator of 0*(-3)/(-12) + f/(-24) and -53/9.
72
Let m be 0 + -2 - (-13 - 0 - -3). What is the common denominator of 61/9 and (43/(-6) - -2)/(6/m)?
9
Let v = -34099/6 + 5704. Calculate the common denominator of v and -62/9.
18
Suppose 56*p - 63*p = -42. What is the smallest common multiple of 64 and p?
192
Let p = -21 + 24. Suppose 2*b - 4*b = 2, p*w + b - 5 = 0. Calculate the least common multiple of w and 12.
12
Let r(w) = -3*w**3 + 38*w**2 + 20*w - 42. Let j be r(-17). Let c = j - 684229/27. What is the common denominator of c and 73/27?
27
Let r = 3265337/145 - 22520. What is the common denominator of r and 59/25?
725
Let t(a) = 23*a**3 - a**2 + 3*a - 2. Find the common denominator of (6/5)/((-54)/(-340)) and t(1).
9
Calculate the common denominator of (-226)/40*(7 - 19/3) and 55/459.
4590
Calculate the common denominator of 103/4 + 1/(-4) and (-4)/6 + (-13)/((-1092)/(-1610)).
6
Suppose 0*h - 8 = 4*h + 3*y, h + 2 = -4*y. Let f = -34/9 - 31/18. Calculate the common denominator of (-26)/16*h + 2 and f.
4
Let f = -1439/16 - -22457/240. Find the common denominator of 74/105 and f.
210
Suppose 0*p + 3*p = 2*r - 3, p = 5. What is the smallest common multiple of (-2 - 1)/(-6) - 118/(-4) and r?
90
Let k = 133/302 + 2683/12080. What is the common denominator of -69/128 and k?
640
Calculate the common denominator of 3540/4032 + (-8)/6 and 37/192.
1344
Let q = -2749982 + 55068089/20. Let s = q - 3427. Let y = 6601/6 + -1103. What is the common denominator of s and y?
60
Let k(b) = b**2 + 8*b + 9. What is the lowest common multiple of k(-7) and 7 - 1*(5 - 8)?
10
Suppose 0 = -3*q + 2*q - 16. Find the common denominator of (2/8)/(1/(-118) + 0) and ((-34)/q)/((-1)/3).
8
Let l be ((-1194)/(-72))/(-3 + 704/234). Let c = 3694 + -5644. Let f = l + c. What is the common denominator of f and -51/14?
28
Let a be (-3886441684)/42*3393/2953354040. Let q = -1385396/13301 - a. Let k = q + -6/2989. Find the common denominator of 83/46 and k.
460
Let i(r) = 3*r + 36. What is the least common multiple of i(12) and 14?
504
Suppose 0 = -11*h + 7*h + 24. Suppose 3*g - h = 21. Suppose -2 = 3*o - 14. What is the least common multiple of g and o?
36
Let x = 10861 - 977323/90. Calculate the common denominator of x and -131/18.
90
Let u be 73435/100 + 1/4. Let h = 747 - u. Calculate the common denominator of h and -83/6.
30
Let s be 2/4*(21 + -25). What is the common denominator of -5/6 and s/(48/164*1)?
6
Let y be 1*(-4994)/4 + 4. Let m = y + 1195. Calculate the common denominator of m and -1/37.
74
Let k(w) = 3*w**2 - 4*w - 8. Let c be k(4). Suppose 4*u - c = 4*g + 20, 4*g = 3*u - 37. What is the smallest common multiple of 21 and u?
21
Let a(n) = n**3 - 7*n**2 + 30*n + 18. What is the smallest common multiple of 198 and a(6)?
1782
Let j(k) = k**2 - 5*k + 4. Let t be j(4). Let l = -4 + 12. Suppose t = 3*r + r + 5*u - l, 5*r - 55 = 5*u. What is the lowest common multiple of r and 3?
21
Let w be (-4 - -5 - -4) + 3. Suppose -20 = -3*f - w. Calculate the smallest common multiple of f and (0 + 1)/(2/6).
12
Suppose -3*p - 77 = 2*r, 2*p - 6*p + 107 = -3*r. Let f be (-8)/(-48) + r/6. Find the common denominator of 61/5 and (f/(-9))/(4/(-279)).
10
Suppose 0 = 5*w + 4*v + 2 + 4, 5*w + 5*v = -10. Suppose -5*x + 4*z + 17 = 0, 4*z - 5*z + 2 = 0. Calculate the lowest common multiple of 3*(2/(-2) + w) and x.
15
Suppose 0 = -0*z + 3*z + 4*g - 7, 23 = 5*z + g. What is the smallest common multiple of 10 - (3 - 0 - 1) and z + -1 + 0/(-4)?
8
Let w = 24 + -14. Let u be 3 + -3 - (3 - (-2 + 8)). Suppose -2*h - 1 = -u*h, c = -3*h + 5. What is the lowest common multiple of c and w?
10
Suppose 2*p + 8 = -2*p. Let s be (p/(-12))/(3/(-74577)). Let r = s + 4134. What is the common denominator of -89/4 and r?
12
Let t = -11 - -13. Find the common denominator of -2 + (-61)/6 + 2 and (-2 - 49/t) + -1.
6
What is the common denominator of 85/152 and 651/(-120) + (-88)/(-22)?
760
Suppose 14*x + 127 = 18*x + h, -15 = 3*h. What is the lowest common multiple of 84 and x?
924
Suppose 2*m - 58 + 32 = 0. Suppose m*p = -3*d + 8*p + 43, 5*d = -3*p + 61. Suppose 0 = -0*u - u + 9. Calculate the least common multiple of d and u.
99
Let q be (-2)/4*(-230 - -2). Suppose 7*j + 3 = 4*j. What is the smallest common multiple of (q/(-12))/(j/2) and 10?
190
Let p(o) = o**3 - 10*o**2 + 5*o + 7. Let q be p(8). Let t = q + 42. Let y = t - -59. What is the smallest common multiple of y and 18?
180
Let m = 161 + -125. What is the common denominator of -1 + 0 + 50/4 and (24/m)/(36/(-321))?
18
Find the common denominator of (-1 + 262/280)/((-54)/585) and -3/112.
112
Let y = 0 + -6. Let b = 10 + y. What is the common denominator of (-1590)/(-462) - b/(-14) and 69/8?
88
Let p = -172402/35 - -4924. Find the common denominator of 1/80 and p.
560
Let w(j) = j - 4. Let i be w(5). Let x(u) be the second derivative of 13*u**5/20 - u**3/3 + u**2/2 + u. Calculate the least common multiple of x(i) and 2.
12
Let s(i) = 3*i**3 - 2*i + 2. Let h be s(1). Suppose h*v + 2 + 1 = 0. Calculate the common denominator of -49/8 and v/4*2988/(-126).
56
Let o = -21 - -38. Let q = o + -5. What is the common denominator of -11/7 and 1834/q*(-4)/(-28)?
42
Let x = 24015/2362 + -2/3543. Let k = 387 - 703/2. Calculate the common denominator of k and x.
6
Let m be (-2)/3*-9*(1 + -2). Calculate the smallest common multiple of 1 and (9/m)/(6*(-2)/16).
2
Suppose -5*n = -m - 3, 2*m + 17 - 3 = 2*n. Let r(h) = 2*h**2 + 16*h + 14. Calculate the lowest common multiple of 6 and r(m).
42
Let u = -29 - -43. Let o = u + 3. Suppose 2*y - 18 = -2*a, 3*y + 0*a = -a + o. What is the least common multiple of 10 and y?
20
Find the common denominator of 109/28 and -1 - ((-665)/1624 - 1).
1624
Let a = 199 + -174. Let b = -1 - 1. Calculate the common denominator of -6/7 and a/(-15)*(-9)/b.
14
Calculate the common denominator of 131/12 and ((-23)/(-69))/((-152)/(-1116)).
228
Let n(c) = 10*c**2 - 15*c - 18 - 4 - 9*c**2. Calculate the least common multiple of 80 and n(17).
240
Let w be 1/(2 + 9/(-5)). Suppose 0 = -w*f + 2*f + 15. What is the least common multiple of 6 + -2 - (3 - 4 - -4) and f?
5
Calculate the common denominator of 1/5 and (1/11)/((-442)/182).
935
Let l be (4409/2)/(7/(-2) + 3). Let y = l + 92633/21. Calculate the common denominator of y and 32/27.
189
Suppose 0 = 6*d - 11*d + 10. Let f be d + -3*4/(-3). Let g(z) = z**2 - 3*z - 14. What is the smallest common multiple of 2 and g(f)?
4
Suppose -4*l = l - 4*x - 267, 4*l - 3*x = 213. What is the least common multiple of l and 24?
408
Let z = 7/99 - 1597/21186. Let k = 4505/2354 + z. What is the common denominator of k and 2/13?
143
Find the common denominator of (-1 + 3)/((-18)/43) and (-1959)/2160 + 78/54 + -1.
720
Let t = -186473/12 + 15527. Let o = 1372 + -24707/18. Find the common denominator of t and o.
36
Let m = -30448/21675 + 90/289. What is the common denominator of m and 76/33?
825
Suppose d = -p + 2 - 0, -13 = -5*d - 2*p. Let r = d + -1. Suppose 5*g + 2*f + r = 6, 15 = -5*f. Wh