.
36
Calculate the common denominator of (-6137)/(-570) + 3*(-2)/10 and -99/20.
60
Let n(f) = 2*f - 6. Let q be n(5). What is the common denominator of 180/(-21) + q/8 and -2 - ((-230)/32)/1?
112
Suppose 6*b - 40 = b. Calculate the lowest common multiple of 8 and b/6*18/12.
8
Suppose p - 2*d - 15 = 0, 3*d - d + 6 = 0. What is the common denominator of 77/10 and 118/12 + 6/p?
10
Suppose 0 = p - 1 + 5. Let c(v) be the third derivative of v**4/24 + 5*v**3/6 - v**2. Calculate the lowest common multiple of c(p) and 3.
3
Calculate the common denominator of (-9)/(-36) + (-394)/56 and -69/8.
56
Let h = 2/21471 + 122507/42942. What is the common denominator of h and 145/12?
204
Calculate the common denominator of 3/12*388/(-18) and -91/8.
72
Let b(a) = -a**3 + a**2 - a - 15. Let n be b(0). What is the common denominator of -45/8 and (-5)/n + (-106)/18?
72
Let m(s) = 4*s + 33. What is the least common multiple of m(-5) and 4?
52
Let o = 17824 + -213757/12. Let h = -5612/133 + 400/19. Let p = h - -2671/126. Calculate the common denominator of p and o.
36
What is the common denominator of 50/1092 - (-21)/49 and -7/8?
312
Let b = 121321/18 - 6742. Calculate the common denominator of b and 71/36 + 2/(-8).
18
Let x(f) = f**3 + 6*f**2 - 8*f - 1. Let d be x(-7). Suppose 4*v + 2 - d = 0. Calculate the smallest common multiple of 8 and v.
8
Let p(b) = b**3 + 5*b**2 - 4. Let m be p(-5). Let v = 12 - m. Let q = -25 - -43. What is the least common multiple of q and v?
144
Suppose -2 + 1 = z. Suppose -5*s + 0*s + 10 = 0. Let w = s + z. What is the smallest common multiple of w and 8?
8
Let i(u) = -u**3 + 23*u**2 - 41*u + 1. Suppose 17 = 3*z - 31. Calculate the least common multiple of i(21) and z.
176
Let a(d) = d**3 - 10*d**2 + 10*d - 2. Suppose 0*i - 23 = -2*t - i, -t - 4*i = -29. Calculate the lowest common multiple of 1 and a(t).
7
Let g = -3331 + 654. Let y = g + 10783/4. Calculate the common denominator of 9/2 and y.
4
Suppose 0 = 8*c - 3*c - 11625. Let a = -16227/7 + c. Let s = 3/1544 + 77173/13896. Find the common denominator of a and s.
63
Suppose -5 + 29 = 4*a. Calculate the lowest common multiple of 15 and a.
30
Suppose 3*q - 5*b - 834 = 461, -5*q - 4*b = -2109. Suppose 5*i - q = 7*t - 3*t, -85 = -i - t. Find the common denominator of 2*i/(-8) + -2 and 21/4.
4
Suppose 8*r - 13*r + 20 = 0. What is the smallest common multiple of 14 and r?
28
Find the common denominator of 813/(-198) - (-2)/6 and (2/20)/((-10)/195).
220
Suppose 5*o - 5*z = -2*z + 23, 5*o - 2*z = 27. What is the lowest common multiple of 7 and o?
7
Calculate the smallest common multiple of 2*(-2 - 0)*-1 and (-5)/(-15)*21*1.
28
Let t be ((-159)/(-6))/((-2)/4). What is the common denominator of 21/14*t/(-18) and 1 + (-83)/(-16) + -2?
48
Let w = 616 + -235. Let u = -108 + w. Calculate the common denominator of u/80 + (-6)/(-15) and 19/8.
16
Let c = -164118/19 + 8640. Find the common denominator of -17/9 and c.
171
Let r = -4237/90 + 412/9. Find the common denominator of r and 41/14.
70
Let g = -4 + 5. Let m = 76 + g. Calculate the common denominator of -101/16 and 7/14*m/(-4).
16
Let t = -366883001/216 + 1698523. Let b = -133/54 + t. Calculate the common denominator of b and (-4)/10 + 111/165.
88
Suppose -t + 3 = 2*j, 4*j + t = -2*t + 3. What is the least common multiple of j and 7?
21
Let c be (2/(-5))/((-2)/(-10)). Suppose -5*o + 31 + 14 = 0. What is the smallest common multiple of (-7 + c)*4/(-6) and o?
18
Let y = -3 - -3. Let z = y - 4. What is the lowest common multiple of 1/z + (-37)/(-4) and 6?
18
Suppose -f + 2*a = 4*f, f = -a - 7. Let y be (-1061)/f*68/(-14). Let v = -2583 - y. What is the common denominator of 27/5 and v?
35
Let f = -45 + -42. Find the common denominator of 1 - (-1)/(12/(-131)) and (f/70)/(6/(-15)).
84
Let i = 1 + 3. Suppose 46 = i*w - 10. Calculate the smallest common multiple of 18 and w.
126
Let z = -25282/13 + 1946. Find the common denominator of 1/4 and z.
52
Let z be (-4)/(-6) - 23433/36. Let d = z - -640. Find the common denominator of 51/8 and d.
8
Let v = 734381/137260 + -2/6863. What is the common denominator of 19/4 and v?
20
Suppose 4*z - 26 = 2*v, 4*z - 30 = v + 1. Calculate the least common multiple of z and 16.
144
Let q = 93023 - 281506/3. Let j = 804 + q. Calculate the common denominator of j and 10/35 - (-155)/21.
3
Let v = -4931 + 39523/8. Let j = -51 + 79/2. Calculate the common denominator of v and j.
8
Let o = 71 - 119. Calculate the common denominator of -27/16 and 3 - ((-188)/o + -2).
48
Suppose 0 = -b + 9*b - 112. Calculate the lowest common multiple of b and 2.
14
Let k(c) = 3*c + 9. Let y be k(-6). Let n be 7076/y + (-4)/(-18). Let o = -8658/11 - n. Find the common denominator of 53/9 and o.
99
Suppose 3*s - s - 2*z - 14 = 0, 4*s - z = 25. What is the smallest common multiple of s and 64?
192
Let w be 3/(-6) + (-16894)/52. Let m = w + 23833/78. Calculate the common denominator of m and (-9)/12 + ((-381)/132 - -4).
66
Let t(a) = 3*a - 15. What is the least common multiple of t(11) and 22?
198
Let c = 31 + -22. What is the lowest common multiple of c and ((-3)/5)/(14/(-140))?
18
Suppose k = -3*i + 4*k + 15, i + k = -3. Suppose 17 + i = w. Suppose 2*n = -2*j + 12, 2*n - j = -n + 34. What is the least common multiple of n and w?
90
Let w(f) = -f**2 - 14*f + 3. Let s be w(-17). Calculate the least common multiple of 2 - (-2)/(2/5) and s/(-60)*(-15)/(-2).
42
Suppose 5*o = 8*o. Calculate the common denominator of (o - 23/5) + 0 and -43/3.
15
Let q(y) = y**3 + 6*y**2 + 2*y - 2. Let f = 5 + -9. What is the smallest common multiple of (1/1 - 5)*-5 and q(f)?
220
Suppose 0 = 2*d - d - 114. Suppose -3*v + 12 = -p + 6*p, 4*p - 11 = -v. What is the common denominator of 125/6 and ((-1)/p)/((-16)/d)?
24
Let s = 41435/8514 - -34/387. Find the common denominator of s and -111/14.
154
Let x = 57/4 - 397/28. Let f = -1/2816 + 11441/2816. Find the common denominator of x and f.
112
Suppose 3*s - 25 = -2*s. Suppose -2 = h - 5*v, -5*h + 17 = 2*v - 0*v. Suppose s*c = -h + 13. Calculate the lowest common multiple of 8 and c.
8
Let o(q) = -q**3 + 8*q**2 - 16*q + 44. What is the lowest common multiple of (1 - (0 - 1))*6 and o(6)?
60
Let v(i) = -i**2 - 15*i - 14. What is the lowest common multiple of v(-11) and 9?
90
Suppose 132*p - 200 = 127*p. Suppose -3*k - 16 = -5*k. Suppose 2*m + k = -0*m, -p = -4*b + 4*m. What is the least common multiple of b and 4?
12
Let x = -3051/5 - -615. Find the common denominator of 17/43 and x.
215
What is the common denominator of 2/40*22*6 and -7/9?
45
Find the common denominator of (6/156)/((-4)/((-244)/7)) and -143/6.
546
Let y be ((-159)/(-2))/(12/(-391)). Let s = 2602 + y. Find the common denominator of (2 + 39)/(-2*9) and s.
72
Let x(u) = u**2 - u - 10. What is the smallest common multiple of x(6) and 22?
220
Suppose -2*n - 2 = -18. Suppose 2*o + 4 = 4*a, 5*a = -o + 3*o + n. What is the least common multiple of o and ((-30)/(-35))/((-1)/(-7))?
6
Suppose 4*r = 2*f - 2, -3*f + f = -10. Suppose -3*p + 8 = -p. Suppose 5 = 5*v, -p*c - 4*v = -0*c - 36. Calculate the lowest common multiple of r and c.
8
Suppose -109 = -0*b - b. Suppose -4*z - c + 144 = 0, 3*z + 4*c - b = 3*c. What is the common denominator of z and ((-2)/8)/(15/276)?
5
Let l = 28087/6 - 4661. Calculate the common denominator of l and 17/65.
390
Suppose 0*w - 19 = -w + 4*h, 2*w - 12 = -5*h. Let p = 15 + -5. What is the lowest common multiple of w and p?
110
Let p(i) = -i**3 - i**2 + 4*i - 2. Let j be p(-4). Suppose -s = l - 6, j = 4*s + s + l. What is the least common multiple of s and 8?
24
Let b = -26253 - -8330. Let y = 115937215/6444 + -52585/716. Let i = b + y. What is the common denominator of -7/10 and i?
90
Let l be 4/6*208345/(-6668). Let o = l - 5/1667. Calculate the common denominator of o and 13/8.
24
Let z be 40/(((-4)/2)/2). Find the common denominator of 1 + 1 - 154/z and 69/20.
20
Let l be 4/14 - (-468)/(-21). Let b = 29 + l. Calculate the least common multiple of b and 1.
7
Let o(p) = -7*p - 4*p**2 + 5*p - 3 + 2 + 5*p**2. Let a be o(-1). What is the common denominator of 43/20 and -1 - (121/(-14) + a)?
140
Calculate the lowest common multiple of 7/3 - (-2)/(-6) and 11.
22
Let h be (-43)/(-1)*9/6. Let w = -439/6 + h. What is the common denominator of 