-2536197401/324 - -7827759. Let r = 1/162 + s. Find the common denominator of 3/17 and r.
68
Let c(o) = 7*o - 28. Let t be c(4). Suppose -2*z = -t*z - 3*u - 4, -2*u + 8 = 0. Calculate the smallest common multiple of z and 16.
16
What is the common denominator of 11 - 2 - 274599/29484 - (-2)/7 and -40/47?
1692
What is the lowest common multiple of 12 - 17 - (-7)/2 - 15132/(-8) and 1890?
1890
Let n(p) = 2*p**2 + 7*p - 12. Let v be -5*((-26)/(-5) + -4). Let w be n(v). What is the lowest common multiple of -3*(-1)/3 + w + -1 and 106?
954
Let k be ((-1246)/20)/(144/40). Let c = 23260/9 - 2587. Let o = k - c. Find the common denominator of -73/4 and o.
4
Let r(m) = m**3 + 8*m**2 - 21*m - 8. Let p be r(-10). Calculate the least common multiple of 14 and (1 + 0 + p)*20/12.
70
Let p be (0 + 12/(-14))*-7. Let z = p - 5. Suppose h - 5 = -2*g, 4*h - 16 = -g - 3*g. Calculate the least common multiple of g and z.
1
Let g = -44965171911086930/195397 + 230122120149. Let l = -2/5281 - g. Let d = l - 1973/333. Calculate the common denominator of 41/22 and d.
198
Find the common denominator of 681/(-1135)*38/(-88) and -97/352.
1760
Let x = 251 - 208. Suppose x*q - 27*q = 8992. Calculate the lowest common multiple of 14 and q.
3934
Let p = -41 - -23. Suppose -4*k + 56 = -4*s, 7*k = 2*k - 4*s + 25. What is the least common multiple of k and ((-48)/p)/((-1)/(-3))?
72
Let p = -3002 - -3007. What is the lowest common multiple of 295 and p?
295
Let m = -391 - 5. Let b = 414 + m. Calculate the lowest common multiple of b and 544.
4896
Let k = 489/11 - 15857/352. Find the common denominator of k and 9/28*(-551)/(-348).
224
Find the common denominator of 11/(132/(-18)) - 8/216 and 55/426.
3834
What is the common denominator of ((-18)/(-11))/(232/(-290)) + 2/6 and 25/618?
6798
Let f = 1187/105 - -2/21. What is the common denominator of (13/(-2))/((-34765)/1636) and f?
85
Suppose 0 = i + 47 - 52. Suppose -z + 2*z = 3, 0 = -i*b - 2*z - 24. Find the common denominator of 93/28 and 2072/16*b/280.
280
Let p(x) = 2917*x**3 + 4*x**2 + 2*x - 2. Let t be p(-1). Let s = t - -46623/16. What is the common denominator of s and -81/112?
112
Let l = 98693/8292 - -10/691. Let t = -2331/4 + 560. Calculate the common denominator of t and l.
12
Find the common denominator of -127/24 and (-5)/(40/24) + -61*52/(-1176).
1176
What is the smallest common multiple of 339 and 40/8 - 6/12*(3 + -137)?
8136
Let t be ((-222)/(-4) - -2)*-4. Let b = t - -237. Calculate the lowest common multiple of b and 1.
7
Suppose 0 = 3*g + 6, 4*h - 3*g + 7 = 29. Suppose 4*r - 97 = 27. Suppose 5*l = -25, -3 - r = -2*p + h*l. What is the least common multiple of p and 4?
28
Suppose 0 = -2*u + 763 - 659. Calculate the least common multiple of u and 25/5*44/5.
572
Let k = 141 + -46. Let d(u) = 7919*u - 63312. Calculate the lowest common multiple of d(8) and k.
760
Let j be (0 + 1)*(-5)/(5/(-101)). Suppose -5*z = -64 - j. What is the least common multiple of -4*(1 + -1 - 3) and z?
132
Let d = 2775314087/4390 - 632190. Find the common denominator of d and 15/3512.
17560
Calculate the common denominator of -139/18 and 77691/(-9744) - 7*(-2 - -1).
1008
Suppose -f = -2*t + 33, 2*t + f + f - 42 = 0. Suppose 2*y - y = -5*u + 63, -y + 4*u = -99. Let o = -80 + y. What is the least common multiple of t and o?
18
Let d be 14/77 + (-4197)/33. Let f = d + 129. Suppose g - n - 1 = n, -3*n + 37 = f*g. Calculate the smallest common multiple of g and 10.
110
Suppose -5*n + 2881 + 1029 = -5*q, -2*q = n - 785. Calculate the smallest common multiple of n and 12.
3132
Let u = -395998/23 - -17226. Let c = 691/230 + u. Find the common denominator of (-6)/12*(171/60 + 2) and c.
40
Suppose f = 5*v + 27, -f + 4*v + 12 = -5*f. Suppose 5*k - f*k - 99 = -3*a, 2*k = -3*a + 101. What is the lowest common multiple of 56 and a?
280
Let n be (-68660)/(-10032) + 2 - 6/33. Let f = n - 14/57. Calculate the common denominator of -55/21 and f.
84
What is the lowest common multiple of (8 + (-26)/4)*84 and 1512?
1512
Suppose 0 = -18*r + 1122 + 498. Suppose 225*x - 226*x + 20 = 0. What is the lowest common multiple of r and x?
180
Suppose 2*y - 2*t + 190 = 3*y, -2*y - t = -386. Let r = -137 + y. What is the least common multiple of 7 and r?
399
Suppose -61 = -4*p - m, 2*p - 8*m = -10*m + 26. What is the smallest common multiple of p and 136?
272
Calculate the common denominator of 29/288 and (-76 - -62) + (-2444)/(-192).
288
Let a = -77363/9 + 8643. Let j = a + -1625/36. Calculate the common denominator of ((-31)/28)/(2/6) and j.
252
Let i = -23428 + 24008. Calculate the lowest common multiple of 464 and i.
2320
Let d(b) = 13*b**2 - 5*b. Let x = 19 + -16. Let i be d(x). Suppose -3*c + i = j, -2*j + 6 + 0 = 0. Calculate the least common multiple of c and 12.
132
Let s be ((-90)/(-420))/(6/(-33176)). Let u = 398287/336 + s. Find the common denominator of u and (116 + 0 + -3)/(-10).
240
Calculate the common denominator of -73/1750 and (-13079)/(-43500) - ((-13)/(-6) - 2).
3500
Let y(i) = 179*i - 519. What is the least common multiple of y(3) and 1290?
3870
Let m be (-37)/(-6) - (-3)/(-18). Suppose 124 = -10*n + m*n. Let d = n - -47. What is the smallest common multiple of 22 and d?
176
Suppose -673*v = -678*v + t + 183, -174 = -5*v - 2*t. Calculate the smallest common multiple of 44 and v.
396
Let s = -6/5899 + 384857/1398063. Find the common denominator of s and -79/30.
2370
Let o(r) = -r**3 - 2*r**2 - 5*r - 4. Let z be o(-2). Let b be 3/z*506 - 1. Find the common denominator of (-8)/(-28) - (-838)/b and 85/4.
36
Let b(o) = -2*o**2 - 4*o + 11. Let p be b(-3). Suppose 0 = 5*u + y - 96, 3*u - p*y = 17 + 63. What is the least common multiple of u and 158?
1580
Let a be (-10)/(-4) - (-8)/((-96)/8958). Calculate the lowest common multiple of a/(-34) - 22/(-187) and -40*(-1)/(12/15).
550
Let p(a) = 2*a**3 - 21*a**2 + 110*a + 14. Calculate the least common multiple of p(6) and 8.
1400
Let j = 16 + -9. Suppose -y = c - 5, -1 = y - 2. Calculate the lowest common multiple of j and c.
28
Let r(k) = -20225*k + 60705. Calculate the smallest common multiple of 328/6 + (-2)/(-6) and r(3).
330
Let o(v) = 151*v**2 + 5*v + 1. Let a be o(-2). Let p = 1361 + -3031. What is the common denominator of (-3)/7 + p/a + 3 and -59/6?
102
Suppose 5*d = -3*v + 7 - 57, 14 = -v - d. Let i = 1075 - 463. What is the common denominator of (v/(-8))/(-1)*i/630 and -71/4?
28
Suppose 11*j = 5*j - 18. Find the common denominator of (145/20)/(7 - -1) and ((-60)/108)/(4/j).
96
Calculate the smallest common multiple of -33 - 4726/(-136) - 2482/(-8) and 4.
312
Let z = 352 - 1514. What is the common denominator of -37/68 and (z/(-21))/(-12*(-2)/9)?
68
Let s(u) = u**3 + 5*u**2 - 2*u. What is the smallest common multiple of s(-3) and -5 - ((-4)/8*44)/(-5 - -7)?
24
Suppose -2*b = -b + 20. Let h = b - -19. What is the lowest common multiple of -3 - h*(-39)/(-3) and 4?
20
Let j = -15827 - -29553/2. Suppose 6583 - 1463 = -5*s. Let z = s - j. Find the common denominator of z and 81/10.
10
Suppose 0*t - 2*t - 5*k = -7, 0 = t - k - 21. Suppose 10*r + 50 = 15*r. Let m(w) = -2*w**2 + 20*w + 10. What is the least common multiple of m(r) and t?
80
Suppose -27*z + 800 = 13*z. Calculate the lowest common multiple of 436 and z.
2180
Let c = 272435/5745619 - -31/8173. What is the common denominator of c and 50/9?
6327
Let y = 19 - 78. Let o = y - -71. Calculate the least common multiple of 14 and o.
84
Let l(s) = -s - 21. Let x be l(-20). Calculate the common denominator of 137/60 and -1 + x + (-183)/36.
60
Suppose -5*z = 3*o - 723, -90*z - 438 = -2*o - 86*z. Calculate the lowest common multiple of o and 462.
462
Let w be 8/(-40) - (1291/(-5) + -1). Let c = 265 - w. Calculate the smallest common multiple of c and 72.
72
Suppose 488 - 143 + 425 = 7*p. Calculate the lowest common multiple of 190 and p.
2090
Let v(h) = 5*h**2 - 36*h - 11. Let w be v(16). Let d = w + -4115/6. Calculate the common denominator of d and (27/(-96) - 2)*2.
48
Let l = -103892289/530 + 196023. Calculate the common denominator of 111/70 and l.
3710
Let s(i) = -17*i + 32. Let w be s(7). Find the common denominator of 6/(-48)*(-636)/(-9) and w/(-27) - (-2)/4.
18
Let c(x) = x**3 - 22*x**2 - 71*x - 60. Let m be c(26). Let k = m - 746. What is the smal