 s**3 + 10*s**2 - 10*s + 11. Let x be d(-11). Suppose -3*r + r - 4 = x, 0 = -f + 2*r + 8. Calculate the smallest common multiple of f and 2.
4
Let c = 1262 + -8401. Let q = 142841/20 + c. What is the common denominator of q and -97/20?
20
Find the common denominator of 4/(-5) + 15531/5270 and 41/5.
170
Let b = 5504713/37 - 148785. Let g = -8011/666 - b. What is the common denominator of 52/21 and g?
126
Suppose -3 - 41 = -a. Suppose 0 = -5*b + 7*b - a. What is the lowest common multiple of b and 12?
132
Let c(n) = n + 1. Let j be c(-17). Let w = 0 - j. What is the smallest common multiple of 10 and w?
80
Let i = -24 - -20. Find the common denominator of (-17)/i*(-1 + 2) and 36/5.
20
Suppose -4*h = -d - 240, 55 + 245 = 5*h + 5*d. Calculate the smallest common multiple of h and 42.
420
Suppose -25 = 5*b, y + 0*b - 28 = 4*b. Let v = -34 + 74. Let s = v + -38. Calculate the least common multiple of y and s.
8
Let a(z) = 2*z**2 - 2*z - 2. Let u be a(3). Find the common denominator of 4/(-6) + (-388)/48*2 and u/(-45)*(-267)/8.
12
Let r = -295 + 97. Let g = -534 - r. Calculate the common denominator of (-2)/5 + g/110 and -51/8.
88
Calculate the lowest common multiple of ((-10)/15)/(1/(-48)) and 24.
96
What is the common denominator of -23/22 and (47/(-24) + 2)/((-4200)/21728)?
4950
Calculate the common denominator of (3*2/8)/((-70)/(-160)) and -99/56.
56
Let z = 753/65 - 200/13. Let i(b) = -b**2 - b + 27. Let l be i(-8). Let s = -262/9 - l. Find the common denominator of z and s.
45
Let h(j) = -7*j - 18. Let z(v) = 5*v**2 - 11*v + 20. What is the least common multiple of h(-4) and z(5)?
90
Let w = -42 + 41. Let c = w + 19. Calculate the smallest common multiple of 42 and c.
126
Let y = -174851/90678 + -2/6477. Find the common denominator of y and 25/49.
98
Find the common denominator of -49/27 and ((-558)/1860)/((-486)/790).
162
What is the common denominator of ((-82)/(-36))/(1 - 2) and 7/(245/(-2338))*5/60?
90
Suppose 0 = 8*u - 3047 - 3625. Calculate the smallest common multiple of 4 and u.
1668
Suppose -3*f - f = -16. Suppose -4*s + 2 = -4*l + 10, -f*l + 29 = 3*s. Suppose -s*p + 3 = -2*p. Calculate the smallest common multiple of p and 12.
12
Let r(u) = u**3 - 2*u**2 - u. Let v be r(-1). Suppose 3*j + 5 = -4. Calculate the smallest common multiple of 19 + (-3 - v)*j and 4.
44
Let d = -62/129 - 10757/2580. Find the common denominator of d and (3/99)/(7/(13041/18)).
220
Let c = 11/36 + 1/36. Let q(l) = -l - 11. Let r be q(-13). Calculate the common denominator of c and (6/(-36))/(r/(-218)).
6
Let y be 8 - (-5 - 1 - -7). Suppose -12*t + 5*h = -y*t - 30, -3 = h. Let c = -5 + 10. Calculate the smallest common multiple of t and c.
15
Let y be 0 + 0 - (0 + -9). Let j(p) = -10 + 9 + 11 - 2*p**3 + 9*p**2 + p**3. Calculate the smallest common multiple of 16 and j(y).
80
Suppose -39 = -3*u + 9. Let t = -111 + 172. Let r = -51 + t. What is the lowest common multiple of r and u?
80
Let w be (-249)/(-10055)*(-15483)/(-54). Let z = 2/6033 - w. Find the common denominator of z and 59/4 - 2 - -1.
20
Let d(r) = -r**2 - 20*r + 24. Let o be d(-21). Suppose -5*w = 4*l - 2, -2*l + 2 = o*w - 0. Calculate the lowest common multiple of 18 and w.
18
Let n = 11 - 19. What is the common denominator of -2 - -1 - (-73)/n and 65/8?
8
Let o = 26 + -18. Suppose -3*p = -9, -v - p + 0 + 21 = 0. Suppose 34*g - v = 31*g. Calculate the smallest common multiple of g and o.
24
Let a = 301 + -256. Calculate the lowest common multiple of a and 99.
495
Let p = 6020 + -301077/50. Find the common denominator of p and -105/22.
550
Let p be (-30)/(-12) - (-23)/2. Suppose p = 2*x - x + 2*u, -4*u = 3*x - 44. What is the common denominator of -1 + (-12)/x*-31 and -5?
4
Calculate the common denominator of (-3)/12*-4 + (-118)/(-24) and 49/104.
312
Let i(l) = 2*l**2 - l - 2. Let u be i(-1). Suppose 41 - u = 8*m. What is the least common multiple of m and 8?
40
Calculate the least common multiple of 4 + ((-12)/(-8) - 165/(-6)) and 48.
528
Calculate the common denominator of -69/20 and -9 + (-11)/((-7392)/5454).
560
Suppose 0 = -55*h + 50*h + 415. What is the lowest common multiple of 11 and h?
913
Let m = 7 - 1. Suppose -1 = 3*i + 2*f + 2*f, -3*f = 3*i + 6. What is the smallest common multiple of m and 6/(-231)*i + 84/22?
12
Let z(n) = n**2 + 15*n + 39. Let s be z(-18). Find the common denominator of s/6 + (6 - 2) + 1 and -52/5.
10
Suppose -3*u + 3*l + 51 = 0, -4*u + u = -4*l - 56. Suppose -4*v = -9*v + 20. What is the least common multiple of v and u?
12
Calculate the common denominator of (-4)/6 - 260/(-48) and 1470/(-336) + 1 + 1.
8
Let g be (24788/168)/((-1)/15). Let n be 6 + -7 + 4422/(-2). Let v = n - g. What is the common denominator of v and -49/10?
70
Let g = -465047/360 + 6461/5. Calculate the common denominator of g and 71/144.
144
Let i = 297/112 - -9/56. What is the common denominator of i and (-4459)/3510 - 6/(-15)?
432
Let f(j) = j**2 - 9*j - 13. Let n be f(10). Calculate the least common multiple of 6 and ((-18)/4)/(n/6).
18
Let f = -13003/2272 - -342/71. Let x = 502/23 + -11635/414. Calculate the common denominator of x and f.
288
Calculate the common denominator of 1/18 and ((-52)/(-48) - -1) + -2.
36
What is the lowest common multiple of ((-2)/2)/((-3)/6) and (-34)/85 - (-52)/5?
10
Let m(w) = 4*w**2 + 13*w + 49. Calculate the smallest common multiple of 24 and m(-11).
1560
Let p be ((-55)/10)/(1/(-2 - -12)). Let u = -3049/497 + -102/71. What is the common denominator of p/(-11) + 226/(-12) and u?
42
Let k be 0/(-1)*(6 - 5). Suppose 2*n - 2 - 6 = k. Let b(w) = 5*w - 23. What is the lowest common multiple of n and b(5)?
4
Let g = -291 - -298. What is the lowest common multiple of g and 9?
63
Suppose 4*g + v = 29, -10 - 3 = 2*g - 5*v. Let w be (2 + 0)/(g/(-21)). What is the common denominator of -48/5 and (w - -38)/(9/1)?
45
Suppose 5*l + 20 = 0, -3*l - 29 = -5*s + 63. Let c(v) = -v**2 - 7*v - 5. Let u be c(-5). Let t = u - -13. What is the lowest common multiple of s and t?
144
Let s = 11 - 8. Suppose 67 = 4*p + k + 16, -s*k + 10 = p. Let d(t) = -t**3 - 5*t**2 - 5*t - 3. What is the lowest common multiple of d(-4) and p?
13
Let r = -6 - -16. Let a(v) = -2*v**3 + 3*v**2 + 4*v - 3. Let h be a(3). Calculate the lowest common multiple of (1 - 2)/(1/h) and r.
90
Suppose 2*g = 2*a + a - 10, 4*a = -2*g - 24. Calculate the common denominator of 66/33 + 11/g and 111/10.
40
Let d(v) = -25*v**3 + 2*v**2 + 2*v - 3. Let s be d(1). Find the common denominator of s/160*290/4 and 39/8.
8
Let r(z) = -2*z + 2. Let a be -7*(32/(-70) + (-18)/45). Suppose -12 = -a*g - 0. What is the lowest common multiple of g and r(-2)?
6
Let b = -63 + 77. What is the least common multiple of b and (-7)/(-21) + 11/3?
28
Let s = -237 - -273. Calculate the smallest common multiple of s and 102.
612
Let m be 10/(-15) - 26/(-3). What is the lowest common multiple of (-3 - (3 - m))/(1/52) and 2?
104
Let t = -13330 + 213365/16. Calculate the common denominator of -15/532 and t.
2128
Let c = -247/86 + 5/129. Calculate the common denominator of (-60)/(-150) + 7/(-10)*7 and c.
6
Let g(j) = j**2 - 5*j + 5. Let d be g(4). Let p(a) = 46*a**2 - 1. Let w be p(d). Let l = w - 27. What is the least common multiple of l and 20?
180
Let s = -30629860889/11282340 + 7/564117. Let a = s + 2710. Calculate the common denominator of a and -63/8.
40
Let l = 1740124 + -24421235/14. Let k = l + 4252. Find the common denominator of 47/10 and k.
70
Let u(d) = -d**3 - 8*d**2 - 2*d + 17. Let v be u(-7). Calculate the lowest common multiple of 76 and ((-27)/v)/((-3)/(-28)).
532
Let u = -12050 - -421874/35. Let n = -243542 + 17044227/70. Let v = u + n. Calculate the common denominator of 77/2 and v.
2
Let j(q) = -3*q**2 - q + 57. Let p be j(0). Calculate the common denominator of (p/63)/(1 - 10/15) and (-2)/(-6) - (-26)/9.
63
Let q = 78 - 83. What is the smallest common multiple of 32 and 1*q*(-352)/110?
32
Find the common denominator of 9/42 + 41418/(-41580) and -119/220.
220
Let i(j) = -37*j - 71. Calculate the smallest common multiple of 64 and i(-3).
320
Suppose l + 5 = -h + 2*l, 3*h + l = -7. Find the common denominator of (3 - (-340)/(-24))*h and (93/4)/((-1)/1).
4
Let y = -11376076 - -341316239/30. Let k = -3371/3 + y. Let q = 271/5 + -877/