nator of 50/(-250)*(-1010)/(-232) and 31/203.
812
Suppose 2*x - 14 = 3*l, 0 = -3*x - 2*l + l + 32. Let j be 4/x + (-234)/60*1. Let v = j + 121/6. Calculate the common denominator of v and -61/15.
15
Let p = 265 - 293. Calculate the common denominator of ((6/p)/(-3))/(3/(-34)) and 6/(-33) - 1009/198.
126
Let r be (-18)/(-5)*(-10)/(-4). Find the common denominator of (-1*r)/(5 - 7/3) and 57/8.
8
What is the common denominator of 135/(-1350) + (-289)/3510 and 61/273?
2457
Calculate the common denominator of 72/320*-4*25/(-655) and 9/4061.
8122
Let q(j) = 3*j**3 - 2*j**2 + 3*j - 4. Let c(g) = -g**2 + 16*g + 22. Calculate the least common multiple of q(3) and c(0).
748
Suppose -4*m + 2*x = 220, -3*x + 17 = -m - 33. Let z = 62 + m. What is the smallest common multiple of 632 and z?
1896
Calculate the common denominator of (-2 + 177/90)*((-203)/8 + -4) and -53/8.
48
Suppose 0 = -2*o - y + 23, -3*o + 40*y = 42*y - 36. Let t = -8 - -10. Suppose 4*k - 2*k - t = 0. Calculate the lowest common multiple of o and k.
10
Suppose -2 - 10 = -g. Calculate the lowest common multiple of g and 20 + 0 - (-297)/675*-25.
36
Suppose -13*s - 68 = 21*s. Find the common denominator of s - (70/42 + (-184)/33) and -42/323.
3553
Calculate the least common multiple of 6018 and (-30 + 984/32)/((-1886)/1888 - -1).
12036
Let q = 1378971925497/34453668212 + -6844979/171267. Let n = q + 1/11532. Calculate the common denominator of -35/6 and n.
942
Suppose 180 = p + 2*a, -3*a - 330 + 888 = 3*p. Calculate the smallest common multiple of 72 and p.
576
Let t = -3/374 + 11995/3366. Calculate the common denominator of 43/576 and t.
576
What is the smallest common multiple of 180/27 + 4/3 and ((-760)/(-42) - 2) + 3/(-63)*2?
16
What is the smallest common multiple of 14 and (209/(-2))/(2407/116 + -21)?
2926
Let g be (-1615289)/408 - 2/16. Suppose 3*f + 11844 = -3*u, -12488 = 3*u - 5*f - 652. Let i = u - g. Calculate the common denominator of 43/9 and i.
18
Let q = 234115/12 + -19501. Calculate the common denominator of -99/9158 and q.
54948
Find the common denominator of 48098/44836 + -1 - (-2521)/(-27731) and -113/14.
14266
Let t = 39036 - 78059/2. Calculate the common denominator of -95/6002 and t.
6002
Suppose -512*p - 2383118 + 6832398 = 0. What is the lowest common multiple of 4 and p?
17380
Let z(l) = -l + 136. Let s be z(-18). Find the common denominator of (30/(-16))/(33/(-4)) and (-787)/s - -1 - 18/(-42).
22
Suppose 120 = 6*x - 246. Suppose 5*c = 2*n + x, n - 4*n + 2 = c. Calculate the least common multiple of 5 and c.
55
Let y(r) = r**3 - 9*r**2 + 8*r - 18. Let k be y(8). Find the common denominator of (-161)/(-36) + (-1)/2 and 27/k*59/(-6).
36
Suppose -7*o = -2*o - 15, 3*u = 3*o. Suppose -4*d - 10*s = -6*s - 28, -4*d + u*s + 42 = 0. Calculate the smallest common multiple of d and 45.
45
Suppose -68*d = -91*d + 58*d - 15680. What is the lowest common multiple of d and 16?
448
Suppose -b = -0*b - 3*d - 43, 3*d - 32 = -2*b. Calculate the lowest common multiple of b and 300.
300
Suppose a - 5*a - 4*n + 88 = 0, 0 = -a + 2*n + 34. What is the lowest common multiple of 72/(-16) - (-168)/16 and (a - 2)*(-21)/(-28)?
18
Let p(b) = b**3 - 20*b**2 - 36*b + 498. Calculate the smallest common multiple of p(21) and 610.
1830
Suppose -3*m - 183 = -3*q, 6 = 152*m - 150*m. What is the smallest common multiple of 32 and q?
64
Suppose -2*v + 3 = v. What is the common denominator of (-174)/(-20) - (v - 1) and 2/17 - (-1144)/(-1632)?
60
Let y(g) = 4*g**3 - 46*g**2 + 24*g - 12. Calculate the smallest common multiple of 318 and y(11).
1590
Suppose -5*v - 816 = -4*y, -71*v + 68*v = 4*y - 816. What is the lowest common multiple of y and 306?
612
Suppose -789*x - 822*x + 15881 = -1556*x - 344. What is the lowest common multiple of x and 1/(-3) - (-22)/3?
2065
Calculate the common denominator of 2976/(-5632)*((-420)/(-414) - 1) and 61/1472.
16192
Suppose -9*y - 469293 - 580296 = 0. Let z = 28222193/242 + y. Calculate the common denominator of z and -27/7.
1694
Suppose 52*s - 2963 = 48*s - 3*m, -2221 = -3*s - m. What is the smallest common multiple of s and 1?
740
Suppose -5 = v, 4*v = 5*z + 1403 + 677. Calculate the least common multiple of ((-60)/(-14))/((-90)/z) and 3.
60
Find the common denominator of ((-21200)/(-2728000))/(-1 - 0) and 107/6.
20460
Let q = 36239 + -36219. Calculate the smallest common multiple of 15016 and q.
75080
Suppose -5*l - 108 - 201 = -3*a, -a = 5*l - 123. What is the lowest common multiple of a and 189?
756
Let m = -205/846 + 19499/69090. What is the common denominator of m and 41/882?
4410
Let v(z) = 5*z + 7. Let x be ((-75)/15)/(0 - 1). Suppose 3*k - 12 = 2*g + g, -x*k + 22 = -3*g. What is the smallest common multiple of 44 and v(g)?
132
Let q = -610159/24570 + 2/12285. Let u = 8862 - 3136. Let b = -34447/6 + u. Find the common denominator of b and q.
6
Let a = 6842 - 4140. Calculate the least common multiple of a and 193.
2702
Let d = 251495/24 + -10484. What is the common denominator of -21/628 and d?
3768
Let v be (136/36)/(-1) - (-6)/(-27). Let f be 2*((-20)/(-8) - 3) - v. Calculate the common denominator of 83/8 and (-148)/136 - (2 - f)*2.
136
Suppose 4*h + 3*p - 411 = 4*p, 5*h = 3*p + 519. Suppose h*a + 240 = 118*a. What is the smallest common multiple of 18 and a?
90
What is the common denominator of 93/4 and (-17)/((-237150)/(-100245)) - -7?
1860
Let w(j) = -j**2 - 32*j - 150. Let y be w(-22). Suppose 2*s + s - 27 = 0. Suppose 0 = 4*d - s*d + y. What is the least common multiple of 28 and d?
28
Suppose -748 = -128*z + 5*z + 74528. What is the least common multiple of z and 2448?
2448
Calculate the least common multiple of 8/6*(11 - 18)*-21 and (-7)/(7/(-5)) - (-16 + 1).
980
Let n = -9018 + 270569/30. Calculate the common denominator of ((-13)/156)/(6/(-177)) and n.
120
Let p = 19 - 8. Let d(h) = 3*h**2 - 11*h + 23. Let o(u) = 15*u + 78. Let g be o(-5). What is the lowest common multiple of p and d(g)?
187
Let q = -250 - -242. What is the least common multiple of 140 and (q/(-5))/(86/6020)?
560
Suppose 0 = -4*z + 4*m + 212, -3*m = -z + 34 + 29. Let w = 249/4 - 1691/28. What is the common denominator of (-5)/((-60)/8) - (-22)/z and w?
56
What is the common denominator of 58653/(-18144) + ((-3)/5)/((-1)/5) and 37/928?
8352
Suppose 3*q - 34 - 14 = 0. Suppose 2*y = -7*y + 2916. Let n = y + -320. Calculate the lowest common multiple of n and q.
16
What is the common denominator of 29/192 and (-1)/(-7)*(12 + 387/(-864) + -10)?
1344
Suppose 14*c - 221 = -53. Let r = -89 + 110. Calculate the lowest common multiple of c and r.
84
Let c(z) = z**2 + 31*z - 56. Let o be c(-23). What is the common denominator of (3/(-27))/((-35)/o) and 5/14?
42
What is the common denominator of 180/125*1/2*-5 and (24/(-140))/((-6)/80)?
35
Let c be -174*10*(-2)/12. Suppose -4*n - c = -2*p - 9*n, 0 = -2*p - 2*n + 284. Suppose x = -6*x + p. Calculate the lowest common multiple of 10 and x.
20
Suppose z + 4*r = 140, -104*z = -107*z - 3*r + 402. Calculate the lowest common multiple of z and 561.
2244
Let x(i) = i**3 - 4*i**2 - 4*i - 2. Let u be x(5). Suppose 2*k + 3*k + 23 = u*j, 0 = -2*j - 2*k + 10. What is the least common multiple of 31 and j?
186
Suppose 33*h = -4*k + 30*h - 4, -32 = -4*k + 6*h. Calculate the least common multiple of 10251 and k.
20502
Suppose 17 = -k - 93*c + 97*c, -4*k = c - 17. What is the lowest common multiple of 20 and k?
60
Suppose -6*h - 403 = 113. Let j = 39 - h. Calculate the common denominator of 37/(-75)*j/(-75) and -13/35.
315
Suppose -4*y + 8*j + 259 = 7*j, 2*y + 4*j = 134. Calculate the common denominator of ((-1)/y)/(52/65) and -93/4.
52
Let s be 1*(-3 - -4) + -4. Let r(d) = -d**3 - 3*d**2 - d + 1. Let j be r(s). Calculate the least common multiple of 14 and (0 - 12)/((j - 1) + -5).
42
Suppose 20*m - 14*m - 1800 = 0. Calculate the lowest common multiple of m and 180.
900
Let y = 83 + -79. Suppose -8*g + 112 = -y*g. Suppose 3*w = 4*c - 3 + 51, c + 64 = 4*w. Calculate the lowest common multiple of w and g.
112
Let d(g) be the second derivative of -g**3/6 - 5*g**2/2 + 8*g. Let m be d(-6). Calculate the smallest common multiple of 3 + (2 - 0) + -2 + m and 22.
44
Let x(n) = -2*n**3 - 17*n**2 - 10*n - 31. Let y be x(-8). Calculate the lowest common multiple of 0/2 - (