x) = x**2 - 7*x - 4. Let a = 120 + -112. Calculate the least common multiple of a and w(8).
8
Let b(t) = t + 1. Let u(k) = -6*k - 19. Let o(z) = -5*b(z) - u(z). Calculate the least common multiple of 2/(-5) - 62/(-5) and o(-6).
24
Find the common denominator of 95/28 and 35/(-55)*5/(-2).
308
Let a = 7799/208 - 472/13. Calculate the common denominator of a and -49/26.
208
Suppose -3*b - 2315 = 4981. Let g = b - -21911/9. Let h = 38/11 + -466/33. What is the common denominator of h and g?
9
Suppose 0 = 3*p + 99 - 264. Suppose -3*w = 2*a - p + 20, -3*w + 36 = 3*a. Calculate the smallest common multiple of 5 and w.
55
Let w be 2/10 + (-156)/(-20). Suppose -w = -m - m. What is the least common multiple of 8 and m?
8
Let y = 10 + 38. Calculate the smallest common multiple of 12 and y.
48
Let h = -12399383483/15467 + 801667. Let b = h - -13796474/232005. Let o = b - 197/3. Calculate the common denominator of 151/6 and o.
30
Let v(d) = -8*d - 2. Let h(t) = -3*t - 1. Let b(p) = 11*h(p) - 4*v(p). Calculate the least common multiple of b(-5) and 3.
6
Let l = -43 - -307/7. Calculate the common denominator of l and -31/3.
21
Let n = -312/5 - -63. Find the common denominator of 5 and n.
5
Suppose 141 = 5*t + 2*w, -4*t + 61 = -2*w - 41. What is the lowest common multiple of 21 and t?
189
Calculate the common denominator of 49/61 and 1502/(-240) + (-4)/(-30).
488
Let t = 3/14 - -83/168. What is the common denominator of t and 29/15?
120
Let c = -5/992 - -48147/6944. Let y be 3/(-12) + (-454)/(-1672). Let b = 11359/1463 + y. What is the common denominator of b and c?
14
Let s = -62/79 + -6163/1106. Let d = 204605/18 + -11373. Calculate the common denominator of s and d.
126
Let n(s) = -s**3 + 17*s**2 - s + 19. Let x be n(17). Calculate the smallest common multiple of 2 and x/7 - (-132)/28.
10
Let t = -18 - -28. Suppose 3*f + t = 4*f. What is the lowest common multiple of f and 21 - (-1)/(2 + -3)?
20
Suppose -4*d = -49 - 15. What is the smallest common multiple of 26 and d?
208
Let j(s) = s - 3. Let n be (-5)/1*(-116)/10. Suppose 5*p - n = -3. Calculate the lowest common multiple of p and j(6).
33
What is the common denominator of 65/54 and (4 - 1)/(-9) - (-156)/96?
216
Let y = -22/23 + -1683/92. What is the common denominator of 51/16 and y?
16
Suppose 9 = 2*y - 0*y - 5*o, 0 = y - 3*o - 4. Calculate the smallest common multiple of 1 and y.
7
Suppose -2*n + 0 + 8 = 0. Calculate the lowest common multiple of ((-8)/(-12))/((-2)/(-6)) and n.
4
Suppose 3*k - 5*o = 35, 5*k - 40 = -o + 9. Let n = -4 - -6. Calculate the lowest common multiple of k and n.
10
Let j = -160816/10435 - 23392241529/20870. Let p = j + 1127055. Let b = -6193 + p. What is the common denominator of b and 57/2?
10
Let s = 159 + -104. Calculate the least common multiple of 7 and s.
385
Suppose 4*l - 2*u - 12 - 10 = 0, 2*l = 5*u + 31. Let s = 3 + -1. What is the lowest common multiple of s and (0 + -3)/(l/(-2))?
2
Let i = -386 - -3005/8. Find the common denominator of i and 53/4.
8
Let r = 10264/7 + -1474. Let y = -549661/48215 - -2/9643. Calculate the common denominator of y and r.
35
Suppose -233 - 91 = -3*d. Suppose -3*r + d = 3*r. What is the lowest common multiple of r and 12?
36
Suppose 0*i + 4*i - 700 = 0. Calculate the common denominator of i/126*6/(-4) and (((-2178)/(-20))/(-3))/3.
60
Let z = -32279/342 + 1674/19. What is the common denominator of z and (-7 + 0)*(-21)/30?
90
Let h(d) be the first derivative of 3*d**2/2 + d - 3. What is the smallest common multiple of 2 and h(3)?
10
Let i = -7385/22 - -677/2. Calculate the common denominator of (-28)/3 - 6/9 and i.
11
Calculate the common denominator of (-4)/(-22)*(-7 + 13/(-2)) and -25/22.
22
Let z(s) = -s**3 + s**2 + s + 1. Let a be (-39)/9 + (-2)/(-6). Let p = -4 - a. Calculate the smallest common multiple of z(p) and 5.
5
Let k be ((-15)/(-5))/((-3)/2). Let a = -115/4 + 11/2. Calculate the common denominator of (329/(-6))/(-7)*k and a.
12
Let u = -1/19 - 109/95. Calculate the common denominator of 97/4 and u.
20
Let a = -8411 + 151465/18. Find the common denominator of a and -73/10.
90
Let y = -3415015/148668 + 8/2859. Let s = 50/39 - y. Find the common denominator of s and 65/12.
12
Let u = -61 - -271. Calculate the common denominator of 2/(-12)*(-1695)/50 and (-1)/1 + u/16.
40
Let s be (3 - -2)*4/5. Suppose -8 = -3*a + s. Suppose -3*l - 4*y = -32, 3*l + 0*y = y + 37. What is the lowest common multiple of a and l?
12
Suppose 5*u = 3*u + 16. Calculate the least common multiple of ((2 + -1)*-1)/(-1) and u.
8
Let c(p) = p**2 + 3*p + 26. What is the lowest common multiple of c(0) and 10?
130
Let c = 176061/7 - 25218. Let r = c - -4881/70. Find the common denominator of r and -107/10.
10
Let r = -64521/10 - -6458. What is the common denominator of r and 87/40?
40
Suppose 0 = -5*o + 10*o - 10. Suppose o*g + 0*g - 4 = 0. Calculate the least common multiple of 2 and g.
2
Let t = -39 + 71. Find the common denominator of (-33)/(t/12 - 2) and -67/16.
16
Suppose 28 = -52*g + 56*g. What is the lowest common multiple of g and 5?
35
Suppose -36 = -5*c + 24. Suppose -2*w = -4*f - c, -4*w + 3 = -f - 14. What is the common denominator of f and 38/9?
9
Let j = 16 - 4. What is the smallest common multiple of j and 6?
12
Let g be (-12)/(-3)*2/8. Suppose 4*m - 3*f = 1, 5*m - 6*f + g = -3*f. Find the common denominator of 61/4 and (m/8)/((-6)/(-356)).
12
Let c = -4 - 1. Let l = 2 - c. Let a = 13 - 8. Calculate the lowest common multiple of l and a.
35
What is the least common multiple of (-1104)/(-10) + 38/(-95) and 6?
330
Let p = 7 - -6. Suppose 7 = 3*h + 2*j, -4*j = h + 2*h + 1. Let s = h + p. What is the smallest common multiple of s and 8?
72
Calculate the lowest common multiple of 3 and -2 + 2 + 32 - 16/8.
30
Suppose -4*s = -5*c - 9, -2*c - 39 = -5*s - 5*c. Suppose -3*o + 14 - 3 = 4*w, 5*o - 5 = -4*w. Calculate the smallest common multiple of w and s.
30
Let z = -2 + 1. Let q(b) = -19*b**3 + 2*b**2 - 1. Let k(v) = v**2 + 14. What is the least common multiple of q(z) and k(0)?
140
Let n be (-28)/(-5) + (-10)/(-25). Let b = 8 - n. Find the common denominator of 89/4 and ((-2)/12)/(b/177).
4
Suppose -14 - 46 = -3*c. What is the least common multiple of 22 and c?
220
Calculate the common denominator of 99/(-4)*16/168 and 145/6.
42
Let f = -1490 + 23755/16. Calculate the common denominator of -53/6 and f.
48
Let p = -1600 + 11224/7. Let c = p + 1/14. Let l = 2114 + -21247/10. What is the common denominator of c and l?
10
Let g(o) = 3*o**2 + 21*o - 18. Calculate the least common multiple of g(-8) and 16.
48
Let u = -480/191 - -254694/101803. Let s = 1785690421419/8528 + -837565877/4. Let b = s - u. Find the common denominator of 149/6 and b.
48
Let j be (4 - (-2 + 0))/(-2). Calculate the smallest common multiple of 2 and 2/(-6) + (-58)/j.
38
Let r(x) = 1 - 3 + 2*x + x + 1. Calculate the lowest common multiple of (-27)/(-1 + 1/(-2)) and r(7).
180
Suppose -3*i - 5 = -23. Calculate the smallest common multiple of i and ((-30)/(-35))/((-1)/(-35)).
30
Let y = -92031/10 + 9192. What is the common denominator of y and 36/7?
70
What is the common denominator of -34/7 and (-1495)/175 - 4/(-10)?
7
Let y be (-38)/(-3) + 4/(-6). What is the smallest common multiple of 3/(6*1)*y and (-2 + 6 - 0)*2?
24
What is the lowest common multiple of 1834/30 + 24/(-180) and 4?
244
Let c = -1011/4 - -268. Suppose 2*y + 12 = -4*b, -3*y = -0*b - 2*b + 34. Calculate the common denominator of (9/(-24))/(y/(-136)) and c.
20
Let h = 186 - 1459/8. What is the common denominator of -137/12 and h?
24
What is the smallest common multiple of 22 and 22/3 + (-2)/(-3)?
88
Suppose 0 = 2*a + 2*a - 8. Suppose a*i = -i + 18. Calculate the least common multiple of 20 and 99/i - (-1)/(-2).
80
Let t(b) = b**2 + 7*b + 1. Let y(k) = -k**2 - 8*k - 1. Let q(a) = 6*t(a) + 5*y(a). Let x be q(2). Calculate the lowest common multiple of 7 and 6*12/x - -1.
63
Suppose -f + 1 + 4 = o, -2*f - o = -13. Let d = 8 + f. What is the smallest common multiple of 14 and d?
112
Let q(l) = -l + 15. What is the lowest common multiple of q(-3) and 45?
90
Let n = 75 - 55. Calculate the smallest common multiple of n and 8.
40
Suppose -2*j - 3*s = -34, 5*j - 2*s = 124 - 20. What is the smallest common multiple of j and 76?
38