 42. Let w = c - -10. What is the common denominator of (-8)/20 - w/(-2) and 45/16?
80
Let x = -11 + 20. Let u = 62 + -43. Suppose 5*d + 3*i - 27 = 0, -2*d = -5*i + u - 5. What is the least common multiple of d and x?
9
Find the common denominator of 3/(-16)*(-462)/(-105) and -115/28.
280
Let n = -2663/18 - -152. What is the common denominator of (-58)/36 - (-13 - -9) and n?
18
Let b = -1 - -16. Suppose y - 2*q - 7 = -2*y, 0 = 3*y + 2*q - 11. What is the least common multiple of y and 7 + (-35)/b + (-4)/6?
12
Suppose -n + 0 = s + 3, 0 = -4*n - s - 21. Let i be 4/n - 45256/(-67776). Let g = i + 175061/25416. Calculate the common denominator of g and 57/7.
63
Suppose 2*x = -2*t - 8, 0 = 2*t + t + 4*x + 16. Suppose t = -5*y + 10 - 5. Calculate the smallest common multiple of 10 and (-212)/(-12) + y/3.
90
Let z = -3 + 2. Let s(q) = 603*q + 3018. What is the smallest common multiple of 4 + 0/1 + z and s(-5)?
3
Let x = -1333/210 + 17/15. Find the common denominator of x and 12/8 - (-34)/(-16).
56
Suppose 0 = -0*a - 4*a + 56. Let n(k) = 1 - k - 19*k**2 + 14*k**2 + 23*k**2. What is the least common multiple of n(1) and a?
126
What is the lowest common multiple of 306 and (0 + 36/15)/(1/10)?
1224
Suppose 2*n - 3 = -3*p, 0*p + 16 = 4*n - 4*p. Let m(o) = -1 + 2 + n + 3*o - 1. What is the smallest common multiple of 14 and m(5)?
126
What is the common denominator of -5 and 91/52 - 6425/3420?
171
Suppose 7*a - 2*a = -5*j + 15, -2*a + 3 = -j. Suppose -a*z - 45 = -4*q - 3*z, -2*q - z + 25 = 0. Calculate the least common multiple of q and 16.
80
Suppose -9 = -2*j - w - 1, -4*w = 8. What is the lowest common multiple of 5 and j?
5
Suppose 2*x - 111 = 61. What is the least common multiple of x and (84/105)/(3/15)?
172
Suppose 10 + 15 = 5*z. Suppose 0 = -0*c - z*c + 10. Suppose r - w + 2 = 13, 30 = 3*r - c*w. What is the smallest common multiple of r and 4?
8
Let u be 6/(3 - 0 - 1). Suppose 8*g - 135 = u*g. Calculate the smallest common multiple of 21 and g.
189
Suppose -5*j - 3*w + 74 = w, 0 = 2*j - 3*w - 48. What is the common denominator of 50/7 and (-1)/5 - j/(-5)?
35
Let h(d) = -d**3 - 3*d**2 + d + 4. Let v be h(-3). Let c = 67 + -32. Let k = c - v. Calculate the common denominator of k and -17.
1
Let d = -356615/6 - -59016. Let r = d - -32893/78. What is the common denominator of r and 23/12?
156
Suppose -4*v = -4*y, y - 3*v + 3 = -1. Suppose -5*b + y*q = -54, -4*b + q + 58 = 16. What is the smallest common multiple of 2/(-8) - (-9)/4 and b?
10
Let k be (228/(-5))/(0 + (-327612)/10290). Let a = -3/1187 - k. Calculate the common denominator of -54/7 and a.
161
Let j = -14 + 98. What is the least common multiple of j and 3?
84
Find the common denominator of ((-2)/5*6)/(846/(-940)) and -8/69.
69
Let y = -12596 + 264433/21. What is the common denominator of 40/3 and y?
21
Let t be (192/(-5796))/((-2)/(-33)). Let g = -17665/966 + t. Let h = 28/9 - 103/36. Calculate the common denominator of h and g.
12
Let n = -156 - -294. Suppose 46 = 4*l + n. Let s = l - -32. What is the smallest common multiple of 6 and s?
18
Let x = -463784/39 - -11893. Find the common denominator of 20/221 and x.
663
Suppose -2*a = -6*a. Suppose -7*o + 9*o - 10 = a. Calculate the lowest common multiple of 1 and o.
5
Calculate the lowest common multiple of 72 and ((-495)/44)/((-1)/28).
2520
Let d = 110 - -54. Calculate the smallest common multiple of d and 2.
164
Find the common denominator of -32/35 and 14 - 18 - ((-482)/60 + 0).
210
Let x = -19 - -3. Let m = x + 17. Suppose -5*s - m + 16 = 0. Calculate the lowest common multiple of 9 and s.
9
Let c be (-69782)/140 - 2/4. Let p = c - -2487/5. Calculate the common denominator of p and 5/9.
315
Let m be 130/6 + -2 + 1/3. Let l(b) = -2*b + 58. Calculate the smallest common multiple of l(m) and 10.
90
Let d = -47 - -47. Let f = d - -3. Calculate the lowest common multiple of f and 13.
39
What is the common denominator of 62/245 and 374/5797 - 3562/27342?
2205
Suppose 78*y - 35*y = 21156. Calculate the lowest common multiple of 9 and y.
1476
Calculate the common denominator of 3/(-3) - (-1 + 98/(-380)) and 119/6.
570
Let l = -8763/770 - -114/77. What is the common denominator of l and 73/160?
160
Suppose 9267 = 2*l - 3*a, l + 2*a - 3670 = 960. Let c = l + -27895/6. Calculate the common denominator of c and (-3)/6 + (-107)/(-12).
12
What is the smallest common multiple of (57/38)/(3/12) and 30?
30
Let o = -51276524101/4167188270 - -173/245273. Let a = 7/1699 + o. Find the common denominator of a and 109/18.
90
Suppose 0 = 6*h - 4*h - 8. Suppose -23 = -h*r + 25. Calculate the smallest common multiple of 18 and r.
36
Let k(m) be the second derivative of m**4/4 - m**2/2 + 12*m. Let a be k(1). What is the common denominator of -109/6 and (25/(-20))/(a/6)?
12
Suppose 0 = 2*c - 6*c + 5*a - 10155, 0 = 4*c + 3*a + 10163. Let z be 342519/(-135) + 2/5. Let o = z - c. Find the common denominator of -31/2 and o.
18
Let a = -4 - -12. Suppose -v + a = 2. Suppose -2*b = f - 16, -4*f + 0*f = -2*b + 26. Calculate the smallest common multiple of b and v.
18
Find the common denominator of 69/2 and 6 + (-85)/(-1054)*(-4308)/58.
1798
Suppose -4*g = -3*u - 231, -2*u + 98 = g + g. What is the smallest common multiple of g and 12?
108
What is the smallest common multiple of 54 and (-2)/(-40)*8*5/2?
54
Find the common denominator of 9163/(-426020) + (-1)/10 and -85/4.
716
Suppose i - 4*b = -13 + 35, 0 = 5*i + 2*b. Calculate the least common multiple of i - 7/(21/(-48)) and 74.
666
Let s(a) = a**2 - 19*a + 42. Calculate the smallest common multiple of 6 and s(17).
24
Suppose 2*f + 34 = 2*p, -2*p - 2*f + 34 = -5*f. Suppose 5*a - 67 = -p. Calculate the smallest common multiple of 1*(-2 + 2 + 2) and a.
10
Suppose -8 = l - 4*h, 2*l + h = l + 7. Find the common denominator of 23/144 and (-45)/(-100)*-11 + l.
720
Let p be (-26 - -5)*(-180)/21. Calculate the common denominator of (-4)/18 + 805/p and 2 - 5 - 50/(-9).
36
Suppose 0 = -n + 6 + 4. Calculate the common denominator of n/16*(-4 + (-46)/10) and 25/3.
24
Let z(l) = -3*l - 9. Let p be z(-5). Suppose 5*q - 5*k - 20 = 0, -3*k + 16 = -2*q + p*q. What is the least common multiple of q and 86?
172
Suppose 18*b = -825 + 4389. What is the smallest common multiple of b and 2?
198
Let l = -2534 + 45691/18. Let g = -1461457/30 - -48720. What is the common denominator of l and g?
90
Let m(n) = -n**3 + 2*n**2 + 39*n - 10. What is the lowest common multiple of m(7) and 18?
18
Suppose 2*k - 5*d - 2 = 0, k - 3*k + 6 = -3*d. Suppose 0 = k*u - 56 + 2. What is the lowest common multiple of (-2 - -41)/((-2)/(-2)) and u?
117
Let i(x) = -5*x + 7. Calculate the common denominator of i(-6) and 9/20.
20
Let d be (-3 + -2 + 3)*-7. Let q = 9 - d. What is the lowest common multiple of (-32)/q + (-14)/35 and 11?
66
Let n = -1070/69 + -88/23. Let m be ((-16)/12)/((-2)/6). Suppose r = m*r + 102. What is the common denominator of r and n?
3
Calculate the common denominator of 175/15*(-4)/(-21) and ((-60)/25 + 2)*(-103)/4.
90
Suppose -12*t - 113 + 3463 = 13*t. Let a(g) = -g**3 - 2*g**2 + 6*g + 1. What is the smallest common multiple of t and a(-4)?
1206
Let s(f) = -f**2 + 9*f - 6. Let v be (-30)/105 + 58/7. Let t be s(v). Let b = t - -8. Calculate the least common multiple of b and 8.
40
Suppose -21*k + 137 + 5344 = 0. What is the least common multiple of 72 and k?
2088
Let s = 3/1528 - -13719/16808. What is the common denominator of 46/1185 and s?
13035
Let c = 44232993 - 2653854467/60. Let p = -6259/3 + c. What is the common denominator of p and 53/7?
420
What is the common denominator of (1190/(-1000))/(10*6/15) and 13/240?
1200
Let z be (-204 - 2)*(1 - 0). Calculate the common denominator of (-2)/((-18)/(-30) - z/(-260)) and 77/18.
90
Let y be (303/(-2325))/((-24)/285). Let o = y - -3/1240. Find the common denominator of ((-1)/(-16))/(9/(-444)) and o.
60
Let h = 4569/4 - 3458/3. Let x = 183763/26 + -7070. Calculate the common denominator of x and h.
156
Suppose -3*y - 3*k + 75 = 0, -4*k = k - 25. Let i = 21/131 + 6927/917. Find the common denominator of (44/10)/((-12)/y) and i.
21
Let z = 822 + -782. Calculate the smallest common multiple of z and 24.
120
Let g = 2058/5 - 12983/30. Let s = 201/5 + -4373/90. What is the common denominator of g a