k = 3*o - 22, -1 = -3*k + 6*o - 2*o. Suppose -k*w + 8*w - 2 = 0. Let x = 4158 + -4156. What is the least common multiple of x and w?
2
What is the smallest common multiple of 22 and 1808/(-24)*(-3 - 0)?
2486
Suppose 0 = -15*w + 2*w + 26. Let u be w/(-4) - 104290/15211. Let q = u + -2/2173. Calculate the common denominator of 21/2 and q.
14
Let j be (7 - 1)/(-6) + 119 + 1. Suppose -110*c = -j*c + 486. What is the lowest common multiple of c and 2?
54
Let o(j) = 15*j - 517. What is the smallest common multiple of 1374 and o(35)?
5496
Suppose 0 = -26*l + 24*l. Suppose l = -3*p - 15, 3*u + 4*p - 224 = 1049. Let y = -3890/9 + u. What is the common denominator of y and 31/5?
45
Let q = 35572 + -853855/24. Let m = -4565 - -68509/15. Let u = -43/120 - m. What is the common denominator of u and q?
24
Let s = -395/7 - -6683/126. Let l = -27469/4626 + -5/771. What is the common denominator of l and s?
18
Suppose 5*l - 4617 = -2*m + 679, 3*l - 3176 = -m. What is the least common multiple of 108 and l?
9504
Find the common denominator of (8/9120)/(12/790) and 31/54.
4104
Find the common denominator of 1251/1080*-5 - -12 and 12/(-18) - (-53)/(-21).
168
Let f be (18/270)/(4/(-128463)). Let v = 2140 + f. Find the common denominator of -1 + 27/(-4) + 0 and v.
20
Suppose 0 = 104*s - 103*s + 19. Let l(y) = -5*y - 71. What is the smallest common multiple of 5/15 - (-260)/12 and l(s)?
264
Suppose 3*p = -3*p - 3484842. Let f = -386817215/666 - p. Let v = 2/111 + f. Calculate the common denominator of -103/12 and v.
36
Suppose 13*v = 232805 - 44240. What is the least common multiple of v and 9?
43515
Let w = -35113283/15156 + -4375/1684. Let z = w + 2312. What is the common denominator of z and (-13517)/1960 + 33/165 - 6/16?
126
Let g(c) = -6*c - 26. Let o be g(-8). Suppose 3*s + 42 = 5*k - 0*s, -3*k + o = -5*s. Calculate the least common multiple of 90 and k.
90
Let w = 75 + -60. Find the common denominator of (-8)/24*(-66)/(-20) and (-32)/16 + w/17.
170
Suppose 306*d - 29072 = 7507 - 3531. What is the least common multiple of 588 and d?
5292
Let t be ((-1)/(-5))/((-253)/(-14795)). Let d = t + -5381/230. Find the common denominator of d and 137/18.
90
Let i(n) = -n**3 + 32*n**2 + 391*n - 82. What is the smallest common multiple of 410 and i(41)?
820
Let p be (-22 - -21) + (-3)/((-24113232)/145194658). Let s = 1/309144 - p. Let l = s + 523/13. What is the common denominator of -13/2 and l?
6
Let b(a) = -283*a - 857. Calculate the lowest common multiple of b(-4) and 40.
2200
Let x(d) = -d**2 - 13*d + 11. Let t be x(-9). Let r = -39 + t. Calculate the lowest common multiple of r and (-24)/14*(-28)/2.
24
Let n be (-94472572)/(-48960) + 2/15. Let s = n + -32820/17. What is the common denominator of (-6)/8*(-3)/12 and s?
144
Let x(k) = -k**3 - 2*k**2 - 113*k + 288. What is the least common multiple of 504 and x(0)?
2016
Let r(z) = z**3 - 3*z**2 - z - 5. Let b be r(4). Suppose b = 8*l - 57. What is the lowest common multiple of 8 and l?
8
Suppose -19*c + 5*h + 8 = -18*c, 10 = 2*h. What is the least common multiple of c and 1*7 + (-14)/(-7)?
99
Let d(q) = q**3 - 11*q**2 + 5*q - 16. Let b be d(11). Suppose 267 = 4*n + b. Calculate the smallest common multiple of 3 and n.
57
Let m be ((-36)/24)/(9/(-168)). Suppose -209*h - m = -213*h. What is the smallest common multiple of h and 12?
84
Let r = -34216 + 34236. What is the least common multiple of r and 0 + (0/1 - -574)?
5740
Let r = 285 - 534. What is the common denominator of -2 + (-417)/144*-2 and r/16*12/18?
24
Suppose 9*f - 36 = 3*f. Suppose -l = f*l - 77. What is the lowest common multiple of (-1)/2*2*-1 and l?
11
Let p be (10/15)/((-2)/9). Let y = p - 42. Find the common denominator of 13/30 and (6/y)/((-24)/(-170)).
90
Calculate the lowest common multiple of 1 and 8856/24 + (-28)/(-4).
376
Suppose 0*d + 5*d + 17 = 4*b, -b - 5*d = 2. Suppose -4*x + 3*f = -64, -2*f - 8 = 3*x - 39. What is the least common multiple of x and b?
39
Suppose 2*y - j - 16 = j, -2*y + 3*j + 13 = 0. Let f = y + 2. Calculate the least common multiple of f and (-3)/(6 + 531/(-81)) - 6/15.
65
Let f = 16236 - 15524. What is the lowest common multiple of 16 and f?
1424
Suppose 0 = -5*s - 141 + 731. Let o(t) = -t**3 - 15*t**2 + 586*t + 7970. What is the lowest common multiple of s and o(-13)?
826
Calculate the common denominator of (-10530)/(-486)*(-6)/1372 and 131/490.
3430
Suppose -3*y = -w + 23, 4*y + 52 = 4*w - 0*y. Let x(h) = 436*h + 26 - 435*h - w. Calculate the lowest common multiple of x(9) and 51.
459
Let f be 16/4*1*3/(-12). What is the common denominator of 363/60*f/(-2) and -35/16?
80
Suppose 0 = 34*h - 30*h + 24. Find the common denominator of (-11)/(-374) - h/2 and 7/4.
68
Calculate the least common multiple of 105 and ((-24)/(-2))/(-4)*7280/(-48).
1365
Let i be ((-144)/(-120))/(34/35 - 1). What is the common denominator of 79/24 and ((-24)/80)/(i/65)?
168
Let o be 10 - (69069/(-570))/(-13). Let v be 2/(-4)*(-84)/(-190). Let j = v - o. Find the common denominator of 52/9 and j.
90
Let i = 14073/2980 - 130/149. Let f = -5/16279 - -1205061/1351157. Let p = f - 10693/1660. Calculate the common denominator of p and i.
20
Let m = 274974/17 + -186429941/11526. Find the common denominator of m and -36/565.
3390
Let p(b) = 3*b**2 - 9*b - 17. Let l be p(5). Suppose l*w = -10*w + 966. Calculate the least common multiple of w and 6.
42
Suppose 219 = 8*t - 861. What is the smallest common multiple of t and 135?
135
Suppose 38*o + 1860 = 2240. What is the smallest common multiple of 1086 and o?
5430
Suppose 126*t - 250*t + 139*t = 1800. What is the least common multiple of t and 424?
6360
Let d be ((-8)/12)/((-2)/(-165)). Let x = 472/11 - 43. Calculate the common denominator of d*(98/(-16) + 6) and x.
88
Let j(a) = -895*a - 4343. What is the smallest common multiple of j(-5) and 1284?
14124
Let u = -81 - -83. Let x be (u - 3) + 40228/9229. Let y = 4/839 + x. Find the common denominator of -27/4 and y.
44
Let l = 37 - 15. Find the common denominator of -53/102 and 682/(-110)*(-5)/l.
1122
Let o(s) = -s**3 + 2*s**2 - 1. Let p be o(1). Let w(n) = -n**2 + 3. Let v be w(p). Suppose -2*k + 39 = v. Calculate the smallest common multiple of 28 and k.
252
Calculate the common denominator of 29 + -14 + -8 - 7 - (-63)/215 and 57/86.
430
Calculate the lowest common multiple of (-29 - -39)/((-3)/(-6)) and 428.
2140
Let p(c) = c**2 - 12. Let w be p(-4). Suppose w = 5*y - 1. What is the lowest common multiple of y and 11?
11
Let t = -2133 + 6601. Let s = t - 27403/6. Let v = 689/6 + s. Find the common denominator of 33/14 and v.
42
Suppose 9*t - 18 = 7*t. Suppose -t*n = -117982 + 335323. Let j = 531189/22 + n. What is the common denominator of -7/16 and j?
176
Let n = 30222 + -2992025/99. Find the common denominator of 42/215 and n.
21285
Let o = 5156 + -36096/7. Suppose 10 = -z - z. Find the common denominator of o and ((-45)/24)/((-1)/z).
56
Let n = 20 + -14. Let i be (-1900)/(-30)*1 + 8/(-6). Suppose -89*m + 486 = -i*m. Calculate the least common multiple of n and m.
18
Suppose -3*w - 50 = -2*w - 4*y, 0 = -3*w + 3*y - 105. Calculate the common denominator of (52/325)/(10/(-425)) and w.
5
Let i(x) be the third derivative of -3*x**4/4 - 47*x**3/6 + 152*x**2. Calculate the least common multiple of i(-3) and 18.
126
Let z(m) = m**3 + 48*m**2 + 41*m - 177. What is the smallest common multiple of z(-47) and 231?
1155
Let i = -9142/9 - -4726408/4653. Let h = -8740136658547/6204 + 1408790568. Let y = i - h. What is the common denominator of y and 58/9?
36
Let r = -6140 - -6976. Calculate the lowest common multiple of r and 1102.
24244
Suppose -779 = -4*a - 5*t, 4*a = 8*t - 6*t + 758. Let b = a - 131. Calculate the least common multiple of b and 10.
60
Let b = 1744 - 1124. What is the least common multiple of b and 160?
4960
Let z = 21990 + -21987. What is the lowest common multiple of z and 544?
1632
Calculate the common denominator of 12 + ((-18981)/30)/37 and 43/326.
1630
Let n be ((-89649)/44823 - (1 - 3))*7. Let l = n - -221754385/134469. Let i = l - 1651. What is the common denominator of i and 41/48?
144
Suppose 0 = -115*z + 99*z - 16. Calculate the common denominator of (-184)/(-1936)*(z*10)/(-5) and -3/77.
847
Suppose 2*g - 65 = -3*d - 2*d, 0 = -2*d + 3*g +