.
30
What is the least common multiple of 105 and (230/(-20) - -9)*-10?
525
Let o(v) = 8*v + 6. Suppose 4*k - 16*k + 108 = 0. Let s be o(k). Let x = s - 60. What is the common denominator of x and 2/5?
5
Suppose 970 = 14*w - 990. Find the common denominator of -15/182 and (-689)/w - 72/168.
1820
Let b(f) = 46*f**3 + 2*f**2 + 21*f + 19. Let l be b(8). Let o = l - 715927/30. Calculate the common denominator of 1 + (-1 - (-61)/(-33)) and o.
330
Suppose -2655 + 72 = -54*u + 1467. Calculate the lowest common multiple of 184 and u.
13800
Let g = 51428093/456 - 112781. Find the common denominator of 5/81 and g.
12312
Let o = 270 + -42. Let a be o/54 + (-4)/18. Suppose z - a = 6. Calculate the lowest common multiple of 7 and z.
70
Find the common denominator of (-5945)/1800 + 33/11 and -35/1692.
16920
Suppose -46 = -4*f + 3*z + 21, 4*f + 2*z - 62 = 0. Calculate the lowest common multiple of 1584 and f.
1584
Let x = 505 + -385. Suppose -71*q + 59*q = -x. Calculate the lowest common multiple of 306 and q.
1530
Calculate the common denominator of -101/144 and (-4044)/20160 - 3*2/14.
720
Suppose 2*m - 16 = 16. Suppose 5*h + 4*r = 11, 0*r = -5*h + r + m. Calculate the lowest common multiple of h and (-2)/(-4)*(3 + -17) - (-23)/1.
48
Suppose -44*t - 7892 = -3*l - 39*t, -5260 = -2*l + 3*t. What is the least common multiple of l and 160?
13120
Let x = 1014 - 987. What is the least common multiple of 87 and x?
783
Suppose -2*p = 3*p. Suppose -a = -p*a - 35. Let d = -31 + a. Calculate the least common multiple of d and 8.
8
Let g(c) = 0*c**2 + c**2 + 185 - 166 + 20*c. Let m be g(-19). Suppose m*w - 8*w = -48. What is the least common multiple of 3 and w?
6
Let r = -20554 - -616493/30. Let k be (-12)/(-70)*112/1860. Let i = k + 115427/4650. Find the common denominator of i and r.
30
Let b = -10058528 - -160998229/16. Let d = 3856 - b. Calculate the common denominator of 69/160 and d.
160
Suppose -51*z + 47*z = 5*r - 6533, -r + z = -1312. Calculate the smallest common multiple of r and 33.
3927
Let c(p) = -p**2 + 53*p - 1. Let d be c(25). Let r = d + -15405/22. What is the common denominator of r and (-5)/60*(-500)/(-6)?
198
Suppose -230 - 58 = -18*u. Suppose -144 = 5*y + 31. Calculate the common denominator of 29/5 and ((-6)/u)/(y/(-28) - 5).
10
Suppose -11*b + 19*b + n = 7838, 973 = b - n. Calculate the lowest common multiple of b and 801.
8811
Suppose -344 = i + 3*i - 4*b, 2*b = i + 82. Calculate the least common multiple of (-4)/(-30) + (-1338)/i and 33.
165
Let w(s) = s**2 - 6*s + 24. Let n be w(0). Find the common denominator of ((-74)/n)/((-9)/6) and 335/(-150) - 3/5.
18
Let q = 961/910 - -326/65. What is the common denominator of q and (-94)/32 - (-1)/(-4)?
112
Let i(g) = 2*g**2 + 23*g + 12. Let r be i(-12). Let b(c) = -c**3 + 24*c**2 + 2*c - 27. What is the least common multiple of (1 + -4)/((-1)/6) and b(r)?
126
Let y = -23064 - -138319/6. Let x = -705089/1215 - -2903/5. Calculate the common denominator of x and y.
486
Let s = -99256 - -76824229/774. Calculate the common denominator of 19/39 and s.
10062
Let s(w) = 3*w**3 - 2*w - 2. Let v be s(-2). Let d be 4/v - (-640)/(-110). Calculate the common denominator of -87/4 and (18/12)/(d/33*-5).
20
Calculate the common denominator of (-23)/3064*1199 + (-522)/(-58) and 6/11.
33704
Suppose 5*q = -2*w + 141, -3*w = q - 78 - 140. Let a = -13 + w. Calculate the lowest common multiple of 40 and a.
120
Let w = 36 + -26. Let l be ((-51)/2)/(8/(32/(-3))). Suppose l*y - 64 - 106 = 0. Calculate the lowest common multiple of w and y.
10
Let l = -18 - -26. Suppose 300 - 250 = 25*w. Calculate the smallest common multiple of l and w.
8
Let p(x) = -48*x - 4062. Calculate the smallest common multiple of p(-90) and 688.
2064
Let q = 113 - 105. Suppose -q*g - 2*g = -110. What is the least common multiple of 47 and g?
517
Let t = -8435/9 - -691121/738. Let f = 677/10 + -451/5. What is the common denominator of t and f?
82
Let c be -4 + 2 + 24/9*3. Suppose 4*z = 4*b + 2*z - 30, -c = -2*z. What is the lowest common multiple of 12 and b?
36
Suppose -5*h + 2*h + 15 = 5*i, -3*h + i + 15 = 0. Suppose 0 = -2*t - 8, 4*y - h*t - 15 = 125. Calculate the lowest common multiple of 6 and y.
30
What is the common denominator of 3/(-15) + (-83510)/(-330050) and -35/492?
11316
Suppose 3*b - 336 = 3*u + 840, 0 = 3*b + u - 1176. Let i = b - 82. Find the common denominator of -17/11 and i/(-28) - -1 - -2.
154
Let h be 1/(-3) + (-26)/(-6). Find the common denominator of (-4)/9 - ((-57870)/12960 - 4/6) and (2/h)/((-14)/104).
112
Suppose -5*h - 4 = -2*v, -4*v + 5*h - 13 = -21. What is the smallest common multiple of v and 564?
564
Let g be 3220209/(10 + -6 - -48). Let q = -61929 + g. Find the common denominator of q and 109/24.
312
Let q be (18664/10)/(-1*(-2)/(-25)). Let t = -513365/22 - q. Find the common denominator of t and -31/452.
4972
Let v = 92 - 143. Find the common denominator of (v/15)/(28/10) and -149/36.
252
Let w be ((-478)/(-20) - (-6)/12)*5. Let l = w + -34. Let n = l + -83. Calculate the smallest common multiple of n and 2.
10
Suppose 2*h - 54 = 2*u, -2*u = 3*h - u - 81. Suppose -i + 2 = -2*p + 151, p - 80 = -5*i. Let c = p - 69. Calculate the smallest common multiple of h and c.
54
Let l be 2/(-4) - 2530/4. Let k = 61753/10 - 6163. What is the common denominator of 1*(l/(-210) + 8/(-10)) and k?
70
Suppose 3 = -j - 0*j, -5*d = 3*j + 144. Let l = -18 - d. Suppose -1176*q + 1172*q = -28. Calculate the least common multiple of q and l.
63
Let v(b) = 50*b**2 + 382*b - 10. What is the smallest common multiple of 266 and v(-9)?
11438
Calculate the common denominator of (-96 - -98) + (-94)/(-72)*5/(-2) and 23/(-27)*(-48)/(-20).
360
Suppose -464097 = -25*o - 1115222. Let k = o - -625177/24. Find the common denominator of -38/27 and k.
216
Let r = -69 + 165/2. What is the common denominator of 21/2*(-49)/3724 and r?
152
Let d = -49 - -91. Let u(q) = -q**2 - 65*q + 885. What is the smallest common multiple of u(11) and d?
294
Suppose 26*n - 1470 - 625 = 297. Calculate the smallest common multiple of 196 and n.
4508
Let z be 77/7370*4/35. Let b = z + -95479/3350. Let d = 1231/15 + -492/5. What is the common denominator of d and b?
6
Suppose -2*n + 4*y + y = 971, 0 = -5*n - 3*y - 2412. Calculate the common denominator of -35/12 and (-2*3/n)/((-12)/111).
1932
Let r(y) = 5*y + 2. Suppose -18496 = -1463*b + 885*b. What is the lowest common multiple of r(6) and b?
32
Let c = -293 - -491. What is the common denominator of -5/24 and 275/c*(-52)/40?
72
Let a(j) = -j**3 + 25*j**2 + 10*j + 68. What is the least common multiple of 9 and a(25)?
954
Let g = 22819/108240 + -4/6765. Calculate the common denominator of 23/352 and g.
352
Let q = 3/922 - 259091/2766. Suppose 0 = -27*b + 24*b + 3*c + 300, -4*b + 409 = 5*c. Let l = b + q. Find the common denominator of 73/4 and l.
12
Let d(m) = 6*m**3 + 2*m**2 + 12*m - 72. Let v be d(4). Let a = -284 + v. What is the smallest common multiple of a and 33?
1188
Suppose 6*v - 1 - 425 = 0. Calculate the smallest common multiple of v and 710.
710
Let r = -38979/220528 - -14/1969. Find the common denominator of r and 51/728.
1456
Suppose -6*c - 1191 = -3*n, 13*c - 12*c + 1196 = 3*n. What is the smallest common multiple of n and 4161?
29127
Let i be 1166/(-18) + ((-35)/(-45) - 1). Let v = i + 95. Calculate the common denominator of (-6)/(622/285 - (-4)/v) and -9/5.
110
What is the common denominator of 29/154 and -12 + (-40030)/(-1540) + -14?
154
Find the common denominator of -41/465 and (18/(90/175))/(306/2).
23715
Let g(k) = -k**3 - 5*k**2 + 3*k + 8. Let t = -12099 + 12109. Calculate the smallest common multiple of g(-6) and t.
130
Let a = -5109 + 275905/54. What is the common denominator of 125/108 and a?
108
Let u = 31 + -262. Let l be 2940/(-77)*(-6)/1. Let y = l + u. What is the common denominator of y and -79/26?
286
Let w = -259 + 262. Suppose 0 = -3*n - w, -4*f + 0*n = 2*n - 58. Calculate the smallest common multiple of f and 1.
15
Find the common denominator of -7 - (-20)/(-288)*(-30681)/210 and 2/7 + (-734)/(-126).
144
Let y = 4 - -1. Suppose 5*t + y*o = 510, 4*t - 5*o = t + 330. Suppose -27 - t = -12*x. Calculate the lowest common multiple of 14 and x.
154
Let r = 1833 + -38482/21. Find the common den