and f?
36
Suppose 624 = 131*q - 118*q. Calculate the least common multiple of 64 and q.
192
Suppose -z = 2*z - 27. Let b = -5707 + 5728. Calculate the smallest common multiple of b and z.
63
Suppose -7 = 3*g - 19. Suppose -4*r + 22 = -2. What is the smallest common multiple of (14/4)/(g/8) and r?
42
Let a be (15/24)/(5/180*4). Let d = -13/4 + a. Find the common denominator of -33/31 and d.
248
Let w = -771/95 - -6/19. Calculate the common denominator of -17/24 and w.
120
Suppose -5*w - w + 216 = 0. What is the common denominator of (-155)/w*2/5 and -69/34?
306
Let m(y) be the third derivative of -5*y**4/24 - 8*y**3/3 - 13*y**2. Calculate the lowest common multiple of 9 and m(-4).
36
Let k(f) = 3*f**2 + 2*f - 21. What is the smallest common multiple of k(3) and 42?
84
Let c = -6594 + 204369/31. Find the common denominator of c and 58/93.
93
What is the common denominator of -119/198 and (4/14)/(2/(-2534)*180)?
990
Suppose 38*z - 884 = 25*z. What is the lowest common multiple of z and 119?
476
Suppose 3*b - 144 = 2*p, 2*b - 34 - 78 = -4*p. What is the smallest common multiple of b and 65?
650
What is the common denominator of (-162)/(-32) + (-12 - -10) and (-35)/(-28) - (-2)/1?
16
Let t = 91 - 97. Calculate the least common multiple of ((-4)/t)/((-1)/(-15)) and 26.
130
Let x be 1*6*(-2)/4. Let w(m) = -13*m - 3. Let f be w(x). Find the common denominator of -1/16 and -2 + 358/f + -3.
144
Let s(b) = 4*b + 41. Let i be s(-9). Suppose -3*o + 27 = 5*c, -c + 2*c - 23 = -i*o. What is the common denominator of c and -47/16?
16
Let y = 7299/5 + -1448. Let j be ((-3)/(-1) - 6)/(12/(-32)). What is the common denominator of j/(-10)*261/(-36) and y?
5
Let p(v) = v**2 + 2*v + 7. Let o be p(-6). Let q = 20 - o. Find the common denominator of (-1)/q*60/2 and 25/11.
11
Let i(d) = 38*d**2 - d - 2. What is the smallest common multiple of 343 and i(-3)?
343
Let q = 3 + -6. What is the common denominator of q + 2 - (-121)/26 and ((-8)/(-20))/((-12)/365)?
78
Let a = -53/24 - -301/48. Calculate the common denominator of a and 43/20.
80
What is the common denominator of 89/130 and ((-485)/26)/(-5)*41/(-369)?
1170
Suppose 4*a + 37 = 3*g - 11, -5*a = 5*g - 80. Suppose -3*p - 3*q + 15 = -p, 12 = -4*q. Calculate the lowest common multiple of p and g.
48
Let u = -20 - -51. What is the common denominator of (u/5)/((-162)/(-45)) and 4 + 9/(-2) - 48?
18
Suppose 10*n = 13 - 3. What is the smallest common multiple of n and 29?
29
Suppose 3*i - 3*b = -15, 10 = -5*i + 3*b - 17. Calculate the common denominator of 33/8 and 2/(160/i) - (-20)/(-40).
40
Suppose -k + 2*k - 11 = -2*f, 3*f = -2*k + 18. Let s(b) = -3*b**2 - 2*b. Let w be s(k). Let y = w - -59. What is the common denominator of 11/3 and y?
3
Suppose 2775 = 765*o - 760*o. What is the lowest common multiple of o and 10?
1110
Suppose 0 = c - 3*c + 570. Let b = c + -169. Calculate the least common multiple of b and 10.
580
Let o = -4981/3122 - -32/669. What is the common denominator of o and (-498)/(-42) - 5 - 4?
42
Let y(c) = 1917*c**3 - 2*c**2 + 5*c - 2. What is the lowest common multiple of y(1) and 11?
21098
Find the common denominator of 462/(-52) - 648/(-108) and (-1)/3 + 13/18.
234
Let b = -23 + 41. Suppose 5 = -5*j - g + 78, -5 = -j - 5*g. Calculate the lowest common multiple of b and j.
90
Suppose 9*t = 374 - 14. What is the lowest common multiple of t and 35?
280
What is the common denominator of -1 + (-1)/(-2) - 580/(-672) and -133/24?
168
Suppose -6*p + 113 - 53 = 0. Calculate the smallest common multiple of p and 6.
30
Find the common denominator of (-16)/(-96)*(18/28)/3 and 50/77.
308
Suppose -2*p + 5761 = -p + 3*i, -5*i = -4*p + 23129. Let s = p - 92351/16. Find the common denominator of s and 95/24.
48
Let v = -1/10360 - -782207/279720. Find the common denominator of 127/66 and v.
594
Let t = -611/60 + 13/30. Let n = -60775 - -254907/4. Let h = n + -2933. Calculate the common denominator of h and t.
4
Let g = -55/9466 - 6348279/1400968. Let m = 43/37 + g. Calculate the common denominator of 139/90 - (-15)/(-25) and m.
72
Let d = -462 + 672. Calculate the smallest common multiple of d and 42.
210
Let t = 5/336 - -731/1680. Suppose -255 = -0*j + 3*j. Find the common denominator of (-4)/(8/j) + 0 and t.
20
Let z = 30 + -12. Let k = z - 7. What is the smallest common multiple of 22/3 - 7/21 and k?
77
Let k = 18440051/6 + -3066594. Let x = 22991 - 16224. Let t = x - k. Calculate the common denominator of t and 71/12.
12
Let y = -111 + 214. Let d = y - 83. What is the least common multiple of d and 2/(-1 - 6/(-5))?
20
Let n = 1/947 - 55877/3788. Find the common denominator of 5/(-6)*(-9)/30 - (-1736)/(-1376) and n.
172
Suppose -22*l + 18*l - 13328 = 0. Let z = 33257/10 + l. Calculate the common denominator of -27/10 and z.
10
Let p = 599103440031144813857/195309138327093481782 + 775/8671501094347. Let y = -59/34439 + p. Let j = y + 11/109. Find the common denominator of j and 15/8.
24
Let x = -39 + 15. Calculate the least common multiple of 54/x*(-16)/3 and 27.
108
Find the common denominator of -73/114 and (7/(-84))/((-3)/84*2).
114
Find the common denominator of -16/33 and 0 - ((-4)/(-42))/(10/260).
231
Let b = -885137 - -642608863/726. Let s = 1/121 - b. Find the common denominator of s and ((-190)/(-12))/(-1) + -1.
6
What is the common denominator of (82/270)/(4 - (-84)/(-18)) and -89/126?
630
Suppose 2*o + 3*o - 10 = 0. Let u = -2/10769 - -818462/96921. What is the common denominator of u and 31/(-5) - (o + -2)?
45
Suppose 5 - 1 = t. Suppose 0*d = -d + 4*b - 12, -2*d - 12 = -t*b. Suppose -4*j + 16 + 24 = d. What is the lowest common multiple of j and 11?
110
Suppose 16*x - 13*x - 27 = 0. What is the smallest common multiple of x and 99?
99
Let a(s) = 11*s**2 - s + 1. Let p = 61 + -60. What is the smallest common multiple of a(p) and 11?
11
Let w(q) = q**2 - 10*q + 18. Let n be w(8). Suppose 0 = -n*c + 5*m + 16, -1 = 2*c + 4*m + 1. Calculate the smallest common multiple of c and 5/25 + 49/5.
30
Let p(b) = b**3 + 13*b**2 - 31*b - 6. Calculate the lowest common multiple of p(-15) and 119.
1071
Let n = 327421/48 - 6823. What is the common denominator of n and 107/6?
48
Suppose -8*c + 3*c + 75 = 0. Let j = 6 - c. Calculate the common denominator of 37/20 + j/(-45) and -25/22.
220
Let p = -4/1783 - -194435/39226. Calculate the common denominator of -1/10 and p.
110
Let o be (-10452)/(-108) - (-4)/18. What is the common denominator of 4 - o*1/14 and 113/20?
140
Suppose -11*s + 16 = -3*s. Suppose s*v - 8*v = -84. Calculate the lowest common multiple of v and 16.
112
Suppose 0 = -15*r + 7*r + 112. What is the least common multiple of 10 and r?
70
What is the smallest common multiple of 18 and 6*-50*(-8)/48?
450
Let h = 76 - 54. Suppose -5*k + 45 = 2*l - 35, 0 = k - l - 9. Calculate the lowest common multiple of k and h.
154
What is the common denominator of 69/35 and (-1590)/364 - (2 + (-336)/156)?
70
Suppose -22*h + 4*h + 360 = 0. Find the common denominator of h and -20/9.
9
Let y = 37 + -62. Calculate the common denominator of y/(-10)*(-25)/(-30) and 76/15.
60
Suppose 2*d - 5*w = 1187, -2*w = 3*d + 2*w - 1838. Calculate the common denominator of (18/32)/(27/(-396)) and (d/(-60))/((-12)/(-10)).
12
What is the smallest common multiple of 432 and 423/4 + 40/160 + -7?
4752
Let y be ((-2692)/24)/(13/39). Let u = 665 + -315. Let j = u + y. What is the common denominator of j and 61/8?
8
Let j = -10 - -14. Suppose 0 = 2*q + x - 2, 2*x + 2 = q - j. Suppose -25 = -q*g + 15. Calculate the least common multiple of 4 and g.
20
Suppose -45 = l - 6*l. Suppose 3*j = 2*s - 16, 4*s + j = -j + 48. What is the smallest common multiple of s and l?
99
Suppose -v - 4*n - 27 = 0, -8 = v + 5*n + 18. Let y be (v - 11) + 1*-2. Calculate the least common multiple of 12 and (-1 - -17)*(-22)/y.
24
Suppose -5*o - 245 = 4*t, 0 = -t - o - 51 - 10. Let r = 72 + t. What is the least common multiple of 36 and r?
36
Suppose 7*l = 2*l + 15. Let z(w) = -w**3 + 5*w**2 - 6*w + 4. Calculate the lowest common multiple of z(l) and 28.
28
Calculate the common denominator of -25/22 and 3/(-6) + (-570)/(-195).
286
Suppose 3*j + 2*l = -j + 56, -44 = -5*j + 4*l. Let y(k) = 2*k - 1. Calculate the least common multiple of j and y(2).
12
Let w be 49205/(-2782)*(-