and p.
340
Let o be (-148505)/(-32970) - (1 - (-22)/(-18)). Let h = o - -104/157. What is the common denominator of 49/10 and h?
90
Let q = -1900 + -29034. Let w = -2722103/88 - q. What is the common denominator of 19/77 and w?
616
Suppose -4*t + 2*t + 20 = 0. Let d(m) = -m**3 + 2*m**2. Let f be d(0). Suppose f = -4*x - 13 + 37. Calculate the lowest common multiple of t and x.
30
Let r = 15071701/196 + -76896. Let p(k) = 8*k**2 - 2*k + 1. Let o be p(1). Find the common denominator of ((-58)/(-32))/(o/28) and r.
196
What is the common denominator of 5 + -5 - (-11)/45 and (-52)/182 + (-16671)/(-2415) + -7?
1035
Let d = -509281/1524705 + -78/5585. Calculate the common denominator of 20/1001 and d.
3003
Suppose -14*l + h + 219 = -9, 40 = 2*l - 2*h. Calculate the lowest common multiple of 384 and l.
384
Suppose 2*d + 5*k = -9, 0 = -7*d + 12*d + 2*k + 12. What is the common denominator of -62/9 and (d + 0)*(-604)/(-768)?
288
Suppose -3*n + 2*y + 6412 = 0, -5*n - 10*y + 10674 = -7*y. Let p be ((537759/(-84))/(-3))/1. Let r = p - n. What is the common denominator of -45/7 and r?
28
Suppose 0 = 6*u - 2*u - 100. Suppose u*o - 12*o - 195 = 0. Calculate the lowest common multiple of o and 31*1 - (-7 - -8).
30
Let b = -4147/1930 - 1/772. What is the common denominator of b and 43/1430?
2860
Suppose 0 = 20*c - 18*c - 36. Let h(i) = 5*i - 22. Calculate the lowest common multiple of h(c) and 102.
204
Let m = -18393/30052 + -12/7513. Let v = -39215/16 - -2457. Calculate the common denominator of m and v.
176
Let u = 355919773/940 + -378638. Find the common denominator of u and 43/564.
2820
Let t(n) = n**2 + 13*n - 72. Let d be t(-17). Calculate the common denominator of (14/(-36))/((-20)/(-12)) and (3/90)/(d/(-65)).
120
Suppose 0 = -54*j + 57*j + 2*f - 267, 5*f + 402 = 4*j. Calculate the lowest common multiple of 372 and j.
372
Let v = 1239/17 + -88481/1190. What is the common denominator of v and 27/4774?
23870
Suppose -30454 = -89*i + 9863. What is the lowest common multiple of i and 99?
14949
Let x(d) = -d**3 - 8*d**2 - d. Let l be x(-8). Let o = -1091/770 - -19/55. Calculate the common denominator of o and l/(-52) + 595/234.
126
Let q = -34760 + 34837. Let i(p) = 24*p**2 - 3*p - 3. Calculate the least common multiple of i(-2) and q.
693
Let k = 1434 + -68855/48. Find the common denominator of k and (226/200)/((-48)/96).
1200
Suppose -41 = m + f, f - 83 - 56 = 4*m. Let x = m - 475. What is the common denominator of 62/27 and 3 - (x/(-28))/(-2 - -3)?
108
Find the common denominator of (-16 + 1342/84)/(120/(-1862)) and -53/64.
2880
Suppose -3*q + 2874 = 3*w, 0 = 19*w - 18*w - 3*q - 990. What is the least common multiple of 3542 and w?
10626
Let h be -3 + (-12)/(-5) + (-10862)/15. Let a = h + 722. Let c = -439/240 + a. Calculate the common denominator of 31/54 and c.
432
Let f(u) = 6*u - 14. Calculate the smallest common multiple of 3*12/(-36) - -3 and f(5).
16
Let b = -177079 + 67289931/380. What is the common denominator of b and -53/1596?
7980
Let r = 26108 + -2088609/80. Find the common denominator of 47/2 and r.
80
Suppose 9*z - 84 = 6*z. Suppose t + z = 30. Let j = 3 + -1. What is the least common multiple of t and j?
2
Let z = 127379/2 - 63726. Suppose 4*u - 1086 = -5*p - 8228, 7160 = -5*p + 5*u. Let m = p - -4363/3. Find the common denominator of z and m.
6
Calculate the common denominator of 95/16 and 33/55 - 2681/210.
48
Suppose 0 = 2*c - h - 17, 5*c + 20*h = 21*h + 50. Calculate the smallest common multiple of 550 and c.
550
Calculate the lowest common multiple of 150 + -4 + (-9 - (-4)/4) and 345.
690
Let r = 4 + 4. Let a be 2 - 0*2/6. Suppose a*s = 7*s - 120. What is the least common multiple of s and r?
24
Suppose 0 = 2*b - 5*s + 8*s - 26, -b - 5*s + 34 = 0. Calculate the least common multiple of 396 and b.
396
Suppose -5*r + 275 = -5*k, r - 6*r - 25 = 0. Let o be 69 + 0 - (8 + -4 + -1). Let b = k + o. What is the lowest common multiple of b and 8?
24
Let s = -531 + 1103/2. Let n be ((-15)/6)/(((-1244)/8)/1). Let y = 14587/1866 + n. Find the common denominator of s and y.
6
Find the common denominator of 0/(-1) + (-558)/(-1620) and -69/4.
180
Suppose -21*h = -7*h - 1624. Suppose -115*l - 28 = -h*l. What is the least common multiple of l and 63?
252
Calculate the lowest common multiple of 12/((-180)/(-15))*2 and 100.
100
Let z = -433437/32 + 13546. Calculate the common denominator of z and (-7)/(-56)*(1 - (-354)/(-15)).
160
Let n(p) = 2*p + 98 - 91 - 9*p. Let v(f) = -4*f + 3. Let x(w) = 3*n(w) - 5*v(w). What is the lowest common multiple of 6 and x(-2)?
24
Let p = 293173/30 - 9770. Find the common denominator of 7/3090 and p.
3090
Suppose 7*q - 3*q = -5*m + 44651, -10*m + 33482 = 3*q. What is the least common multiple of q and 20?
55820
Let p = 1287 + -1195. What is the lowest common multiple of p and 46?
92
Suppose z = 2*a - 14, 3*z = 3*a + 6*z - 12. Suppose a*h = 5*h - 3639. Let n = 21889/6 + h. What is the common denominator of n and 35/122?
366
Let q = 3663 - -3055. What is the smallest common multiple of 2 and q?
6718
Let c = -42 + 62. Suppose c*s - 26*s + 420 = 0. Calculate the smallest common multiple of s and 55.
770
Let y = -547039/61640 - 2/7705. Calculate the common denominator of (-2)/(-4) - (51/(-216) + 1) and y.
72
Find the common denominator of 1*189/(-262)*2*(-3)/(-14) and 11/1310.
1310
Suppose -5*p + 997 + 3769 = -4*u, -3796 = -4*p - u. What is the lowest common multiple of 95 and p?
950
Let q(u) = 3*u**2 + 16*u + 18. Let s be q(-4). Suppose 5*r - 170 - 15 = 0. Suppose -29 = s*w - r. Calculate the smallest common multiple of w and 9.
36
Let r = -1721462/105 + 16395. Calculate the common denominator of 15/(-5) - -4 - (-749)/(-245) and r.
105
Suppose 3*n - 4*t = 33, 5*t - 3 = -3*n + 3. Let m = 47 + -14. Calculate the lowest common multiple of m and n*(-9)/(-21) - -3.
66
Let g = -1032 - -1969/2. Let k be (-23094)/(-8) + 4 + (-75)/20. Let p = k + -63535/22. Calculate the common denominator of p and g.
22
Suppose -719*y - 38 = -721*y. Suppose 6*o = y + 41. What is the least common multiple of 60 and o?
60
Let q = -1380 - -1520. Calculate the smallest common multiple of 30 and q.
420
Find the common denominator of 10/15 + 77/(-228) and 20 + (-13350)/1080 - (-1)/12.
684
Let t(a) = 191*a**3 + 23*a**2 - 52*a - 6. What is the smallest common multiple of 2890 and t(3)?
26010
Find the common denominator of 39/29 and 63/168 - 4396/14368.
13021
Suppose 8*w = -4 - 4. Let m be 1355/222*154*w/40. Let n = m - 1/888. Find the common denominator of -85/8 and n.
8
Let a be 8/2 - (8 + (7 - 3)). What is the common denominator of 102/14*(-2)/8 and (-19)/(-38)*70/a?
56
Let a = -12463/2910 + -5/291. Let n = 907543/1530051 - 1/120004. Calculate the common denominator of n and a.
1020
Let q = -99729 - -99761. Let d = 1 - 2. Calculate the smallest common multiple of q and 2/d*(-4)/4.
32
Suppose -i + 54 = 5*l, 0 = -4*l + 8*l - 2*i - 32. Suppose -l*m + 51 = -69. What is the smallest common multiple of m and 67?
804
Suppose 3*g = a + 80 + 113, -2*g + 5*a + 107 = 0. Let u = 72 - g. What is the lowest common multiple of u and 10?
30
Let d(q) = q**3 - 10*q**2 + 3*q - 9. Let h be d(12). Let s = -267 + h. Calculate the lowest common multiple of s and 56.
336
Let o = 6369/4 + -1574. Let b(a) = a**3 - 7*a**2 + 10*a - 10. Let j be b(5). Find the common denominator of (j/32)/((-2)/(-52)) and o.
8
Let o = 2013 - 1893. What is the lowest common multiple of 10 and o?
120
Suppose -a - 4*n - 356 = -4*a, -2*n = 4*a - 460. Suppose a*g - 114*g = 6. Calculate the lowest common multiple of g and (-2)/(((-6)/(-8))/(-3)).
24
Find the common denominator of 13/80 and (66/(-752))/(((-54)/(-99))/((-20)/(-165))).
11280
Suppose 12*u + 242 + 598 = 0. Let g = 115 + u. Find the common denominator of g and ((-2)/(-8))/(14/161).
8
Suppose -2*f = 2*f - 80. Let n = -25 - -91. Suppose 4*s = 3*r - n, 5*s = s. Calculate the smallest common multiple of r and f.
220
Suppose -56*j - 37*j = -27900. Calculate the lowest common multiple of 10 and j.
300
Let x be (-2981)/(-55) + (-1)/5. Suppose 0 = -6*z + 3*z + x. Suppose 38 = 7*o - z. Calculate the smallest common multiple of o and 22.
88
Suppose 5*j + 4*c - 689 = 0, -3*c = 17*j - 15*j - 270. Calculate the least common multiple of 9 and j.
423
Let c(