20*o. Calculate the least common multiple of 242 and o.
242
Suppose k - q - 6 - 1 = 0, -6 = -2*q. What is the lowest common multiple of k and 1314?
6570
Let c(b) = 2*b**2 - 2*b - 42. Let f be c(-6). Suppose 3*g = 57 + f. Calculate the least common multiple of g and 3.
33
Calculate the lowest common multiple of 60 and 1782/45 - (16/(-20))/2.
120
What is the common denominator of (-204)/(-108) - (-5)/2 and 5/38?
342
Suppose 5*s + 4*c - 372 = 0, 3*s + 5*c = 6*s - 201. What is the lowest common multiple of 20 and s?
360
Let x = -45 - -34. Let f(v) = -v**2 - 11*v + 22. Let n(z) = z**2 - 4*z - 7. What is the least common multiple of f(x) and n(-3)?
154
Let r = -32 + 28. Let b be ((-20)/6 - r)*-6. Let s = 14 + b. Calculate the lowest common multiple of 9 and s.
90
Suppose -5*l = 2*g, -5*g - 5*l = -0*l - 30. Let c = g + -1. Calculate the least common multiple of c and 9.
9
Let a = 18 + -7. Let c(z) = -z**2 - 4*z + 79. Calculate the smallest common multiple of a and c(-11).
22
Suppose 5*l = -0*l + 2*u - 46, 2*l = -u - 22. Find the common denominator of 119/12 and 30/36*(-2 + 186/l).
12
Suppose b = -33 - 39. Let l = b + 218/3. What is the common denominator of -30/7 and l?
21
Let q be 5 + 11463/(15/(-5)). Calculate the common denominator of 11/9 and (-2)/(q/(-2098)) + (-8)/(-36).
954
Let n = 220 + -126. Suppose 0 = 2*b + 22 - n. Calculate the least common multiple of 2 and b.
36
Suppose 0 = -0*z + 7*z + 350. What is the common denominator of 10/z - (123/(-10) + 1) and 61/12*3/1?
20
Let q = 70/87979 + 2082549859/1319685. Let a = 1580 - q. Find the common denominator of -67/6 and a.
30
Let h = -152 + -851. Let b = h - -3035/3. Calculate the common denominator of b and (-101)/2*(-2)/(-10).
30
Let x = -6587862589 + 2051005847755928/311331. Let f = x + -95/471. Let p = 32701/34372 + f. What is the common denominator of -39/4 and p?
52
Suppose -b + 4*b = 30. Calculate the smallest common multiple of (-41)/(-5) + 3/(-15) and b.
40
Let a = -22070087/108702330 - -2/988203. What is the common denominator of -149/60 and a?
660
Let d = -398777/30 + 13291. Let s = -4063/3270 - 108/109. Find the common denominator of s and d.
30
Let i = 7158 + -200335/28. Find the common denominator of i and -155/204.
1428
Suppose 1422 = a + 4*s + 6172, -2*s = -5*a - 23750. Let x = a - -61706/13. Calculate the common denominator of x and ((-171)/(-54))/((-2)/(-4))*-4.
39
Let w be (230/15)/((-2)/(-3)). Suppose -5*v + 25 = -4*g, 0 = v + v + g - w. What is the lowest common multiple of 7 and v?
63
Let l be (((-47355)/100)/7)/((-27)/(-202)). Let h be (-9340)/(-18) + (-6)/9. Let p = l + h. Calculate the common denominator of 23/48 and p.
240
Let o = 4195 - 25271/6. Suppose -a = 5*u + 19, -4*a + 2 = -3*u + 9. Find the common denominator of o and (-21)/378*474/a.
12
Let t(s) = -s**3 - s**2 + s - 1. Let n be t(-2). Let c = 5 - n. Suppose 5*a - 4*p = 2 + 37, -3*p + 45 = 3*a. What is the smallest common multiple of c and a?
44
Let s = 5 + 119. Calculate the least common multiple of s and 8.
248
Let n be (2/6)/((-5)/(-45)). Suppose 0 = -4*f - 5*c + 7, -f - n*c + 1 - 8 = 0. Suppose 2*v = -3*v + 90. What is the smallest common multiple of v and f?
72
Suppose -2*p + 9 - 20 = 5*k, p = -k - 4. Let c be k + (1 - 2/2). What is the common denominator of 1*c/6*-14 and -37/15?
15
Let o(f) = f**2 + 10*f + 1. Let t be o(-10). What is the lowest common multiple of 8/t + (-6)/3 and 8?
24
Suppose d - 5*d + 4*t + 660 = 0, 321 = 2*d + t. Calculate the common denominator of 83/4 and (6/d)/(1/5).
108
What is the common denominator of -25/6 and (1*(-83)/1)/(168/21)?
24
Suppose -5*i - 4604 + 569 = 0. Let u = -2476/3 - i. Find the common denominator of 58/9 and u.
9
Let s = -21 + 31. Let z = 761 - 752. Calculate the least common multiple of (s/(-4))/(1/(-2)) and z.
45
Let a(g) = g**2 + 3*g - 6. Let z = 70 + -67. What is the lowest common multiple of a(z) and 20?
60
Let w = -722 + 754. Calculate the least common multiple of 3 and w.
96
Let p(x) = 9*x**3 + x**2 - x. Calculate the least common multiple of -10*(10 - (11 - 0)) and p(1).
90
Let s = -5731 + 154700/27. Calculate the common denominator of s and 59/18.
54
What is the smallest common multiple of (49 + -58)/((3/6)/(-1)) and 144?
144
What is the lowest common multiple of 255 and 76/80*322 - (-3)/30?
1530
Let u = -2 - -4. Let d(b) = -2*b**2 - 6 + 4*b + b**3 - 7*b**2 - 13*b. What is the smallest common multiple of d(10) and u?
4
Let s = -48411/14 + 3455. Find the common denominator of ((-222)/(-40))/(2/(-4)) and s.
70
Find the common denominator of (-1)/5*465/8 and ((-3)/30)/(12985/763 - 17).
40
Suppose 12*b + 3 - 291 = 0. Calculate the lowest common multiple of b and 30.
120
Let y be 2/(-4) + (-77)/22. What is the common denominator of 195/(-100) + y + 3 and 67/2?
20
Suppose 2*s + 5*j = -72, 89 = -3*s + 3*j + 23. Let p = -15 - s. Let q = -49 - -58. Calculate the smallest common multiple of q and p.
99
Let q = 3528 + -5655. Let n be (-14)/q*33/(-44). Let h = n - 101345/8508. What is the common denominator of h and 1/20?
60
Let s be (325/26)/(2/4). Find the common denominator of -37/12 and (-10)/s - 141/210.
84
Let b be (30/(-4))/((-5)/10). Let c be (138/8)/(7/(-84)). What is the common denominator of (-1)/(-2)*c/b and 91/18?
90
Let b be (2630/(-6))/(3/(-9)). Let d = -9264/7 + b. What is the common denominator of -125/12 and d?
84
Let f(h) = 4*h**2 + 10*h + 22. Let q be f(-5). Find the common denominator of 17/8 and (3/q)/((-6)/1308).
24
Suppose 34*l - 13*l - 1407 = 0. What is the smallest common multiple of l and 8?
536
Let g = -1663 + 10015/6. Calculate the common denominator of ((-2)/(-44))/((2/79)/(-2)) and g.
66
Let s(d) = -20*d. Let z(p) = -p**3 - 9*p**2 + p + 8. Let r be z(-9). Let o be s(r). Find the common denominator of -11/14 and -7*4/((-192)/o).
84
Suppose -5*t - 5*w + 80 = 5, 5*t - 4*w - 39 = 0. What is the smallest common multiple of t and 3?
33
Let q = -37 + 2. Calculate the common denominator of (0 - (-10)/q) + 710/(-504) and -93/16.
144
Suppose -4*q = -0*q - 100. Suppose -5*f + r + q = 0, 22 = 2*f + 3*r - 5. Suppose 0 = -12*t + 17*t - 25. What is the lowest common multiple of t and f?
30
Let c = -1 - -9. Let g be 764/(-28) + 4/14. What is the least common multiple of (-4)/22 - (-50)/(-165)*g and c?
8
Let v(x) = x**2 - 9*x + 9. Let b be v(6). Let y be (-9)/(-6) + 27/18. Let a = y - b. Calculate the lowest common multiple of 14 and a.
84
Suppose 0 = -0*j - j - 3*k + 18, 0 = k. Calculate the common denominator of (-4)/j + (-424)/(-126) and 4/(-10) - 339/(-10).
14
Suppose 29*g - 2981 - 470 = 0. What is the least common multiple of 102 and g?
714
Let z be (-1077)/(-3) - (-2 + 1). Suppose 7*u - 3*u = z. Suppose 5*j - u = 2*j. Calculate the smallest common multiple of 16 and j.
240
Let c = 2234899/1455 - 23042/15. What is the common denominator of -83/99 and c?
9603
Let s = 131/71 + -5/426. What is the common denominator of s and -65/516?
516
Let j = -95353/30 + 3174. Let i = -7495/18 - -410. What is the common denominator of j and i?
90
Let x = 13 - 14. Let o be x*(-3 + 3)/3. Suppose -4*y + 2*y + 36 = o. What is the least common multiple of y and 22?
198
Let r = -39 + 37. Suppose 5*d - 4 = -0*d - 3*t, d - 2*t = 6. Calculate the least common multiple of 1 and (13 - r)*d/5.
6
Let q be (142/10)/((-8)/3265). Let t = q - -5806. Find the common denominator of t and -17/11.
88
Suppose 0*z - 2*z = 0, z = -4*x + 20. Suppose 3*m + 0*w = 3*w - 396, -x*m - 5*w = 630. Calculate the common denominator of 48/11 and -4 - (m/(-27) + -4).
99
Let w = -19 - -8. Let a = -7 - w. Suppose i = p + 3, -a*i - 2*p = 2*p - 4. What is the smallest common multiple of 6 and i?
6
Let v = 92 - 48. Suppose -w - 9 = -t, 4*w = 3*t + 2*t - v. Suppose -3*k = 4*j + 1, t*j = -5*k + 3*j. What is the lowest common multiple of 11 and k?
11
Let l(f) = 21*f**2 + 8. Let g be l(-4). Suppose 94 = -5*o + g. Suppose -4*i + o = i. What is the smallest common multiple of i and 2?
10
Let f = -11 + 17. Suppose -7*t = -2*t - 120. Suppose -t = -2*g - 4. Calculate the smallest common multiple of g and f.
30
Let u = 1965 - 506. Let w be (-10)/(-25) - 66273/45. Let q = u + w. Calculate the common denominator of q and -58/9.
9
Let r = -26 + 43. Suppose -4*t = -98 - 46. Suppose -5*w - t = -9*w. Calculate the l