v(k) = -2*k**2 + k + 4. Let n be v(-1). What is the least common multiple of 32 and 256*(-2)/(-4)*n?
128
Let c = -1/541 + -17303/4869. Find the common denominator of c and -71/144.
144
Let s = 15339 + 30386. Find the common denominator of 10/7 and 42/(-38) + 1 - s/(-3534).
42
Let y be (-20)/50*30/4. What is the common denominator of 2/y*54/(-480) and 85/64?
320
Let l(s) = 32*s + 1. What is the least common multiple of (-9)/(-14 - -13*(1 + 0)) and l(1)?
99
Suppose 35*b - 8*b = 2759 + 3316. What is the least common multiple of 45 and b?
225
Let k be (78/(-30) - -5)/((-6)/20). What is the common denominator of 43/5*(-4)/k and 1/((-34)/(-20) - 1)?
70
Let x = 1770 + -7115/4. Find the common denominator of x and (-18549)/1680 + 3*374/102.
560
Let h = 3150/557 + -1145887/183810. Calculate the common denominator of h and -9/130.
4290
What is the lowest common multiple of 165 and (-4 + 40 - 13) + 1?
1320
Suppose -4*t + z + 80 = -7*t, -5*z = -20. Calculate the common denominator of 113/96 and -4 + 0 + -1 - t.
96
Let q = -270 + 286. Find the common denominator of q/88 + 511/(-572) and -40/11.
572
Let u = 782145 - 2025755463/2590. Find the common denominator of -60/1813 and u.
18130
Let m = -75353/822 + 275/3. Let p = 85747/4110 - m. Let x = 21 - p. What is the common denominator of x and 73/9?
45
Let g(r) = -2*r - 10. Let v be g(-6). Let b = 282767/12384 - -1/12384. What is the common denominator of v/(24/(-182)) + 1 and b?
6
Let k = -70/53 + 4467/212. Let w = 146/297 + -25931/24354. What is the common denominator of w and k?
164
Let l be (-488758)/(-194887)*36/(-16). Let s = l + -2/27841. Find the common denominator of (-65*135/750)/(1 - (-7)/5) and s.
56
Calculate the common denominator of 121/102 and (-5)/(26460/(-9006)) + 150/(-90).
14994
Let u = -341/12 + 949/24. Let a = 1027585/6557826 - -1/48939. Find the common denominator of u and a.
536
Let q be (-7 + (-22)/(-4))*2. What is the common denominator of 38/5 and q/(1 - -2) + (-1232)/(-2030)?
145
Let x be (261/225*-5)/(2/(-1157)). Let m be (-3)/(-9) + (-10051)/3. Let t = x + m. Calculate the common denominator of -41/2 and t.
10
Let r = -98 + 272. Let x = 179 - r. What is the lowest common multiple of 2 and x?
10
Let c(h) = -h**3 + 39*h**2 - 157*h + 14. What is the lowest common multiple of c(34) and 380?
2280
Let v(b) = b**2 + 14*b + 12. Suppose 2*w = -26 - 0. Let k be v(w). Find the common denominator of 4*(2/k - -4) and 71/4.
4
Let k(d) = d**3 + 17*d**2 - 11*d - 49. Let b be k(-19). Let w = b - -607. What is the lowest common multiple of w and 9?
45
What is the least common multiple of (-282)/(-27) + -12 + (-1872)/(-162) and 660?
660
Let f = -32/211 + -7249/12027. Calculate the common denominator of f and -1/9.
171
Suppose 0 = 3*w - n - 12, 3*w = 7*w + 4*n. Let t = -1029 + 1558. Let m = 535 - t. What is the lowest common multiple of m and w?
6
Let f(u) = u**2 - 21*u + 9. Let m be f(23). Find the common denominator of m/(-10)*((-66)/20)/(-3) and 69/34.
340
Calculate the common denominator of (-447)/(-70) + 24/(-84) and (72/1100)/(4/(-15)).
110
Let v(h) = -h**3 - 29*h**2 - 31*h - 82. Let x be v(-28). Let g(j) = -2*j + 14. Let b(o) = 12*o**2 - o + 1. What is the lowest common multiple of b(1) and g(x)?
60
Suppose 6*c = -19 - 17. Let h(r) = 15*r - 1. Let k be h(-2). Let n = c - k. Calculate the smallest common multiple of 1 and n.
25
Let h be 2225/(-9) - 2/2. Let b = h + 17587/72. Find the common denominator of 5/3*(132/110)/(6/(-32)) and b.
24
Suppose 4*c = 2*x + 552, 0*x + 700 = 5*c - 5*x. Suppose -249*d + 2959 + 18953 = 0. Calculate the smallest common multiple of d and c.
1496
Calculate the smallest common multiple of (-465)/(-620) + (-2)/(-8)*-23 + 539 and 36.
3204
Let v(z) = -5*z**2 + 19*z - 5. Let g be v(8). Let u = g + 116. Find the common denominator of 384/u - -1 - -3 and 23/6.
114
Calculate the least common multiple of 6/54*-21*-360 and 16.
1680
Suppose -24*c + 6 = -22*c. Suppose -4*a + 4*d = -104, -c*a - 5*d - 49 = -5*a. What is the common denominator of 47/2 and (-13)/6*a/(-15)?
10
Let a = 28347/162350 + -86/425. Calculate the common denominator of 83/6 and a.
5730
Suppose 2*o - 5 = 11. Suppose -o*u - u + 27 = 0. Suppose 0 = -w - u*w + 24. What is the smallest common multiple of 22 and w?
66
Let b be (42/(-30436))/(3/(-4)). Let r = b + -3337/41306. Calculate the common denominator of r and -17/104.
1976
Suppose -252*q + 505*q - 251*q = 36. What is the least common multiple of 417 and q?
2502
What is the common denominator of -1/1328 and (11/8)/(-2 + 84/70)?
2656
Let z(u) = u**3 + 7*u**2 - 11. Let t be z(-6). Calculate the smallest common multiple of (-28)/(-21) - t/(-15) and 8.
24
What is the least common multiple of (1 + 32/(-5))/((-1022)/140 - -7) and 270?
270
Let v(d) = -10 - 11*d + 1 + 49*d. Let k be v(-6). Calculate the least common multiple of 4/18 - k/27 and 5.
45
Suppose 0*w - 60 = k + 4*w, 5*w - 55 = 2*k. Let d be (-2858)/(-4)*k/16. Let f = d + 1803. Calculate the common denominator of 29/5 and f.
20
Let w = 4669499/15 - 79239964/255. Let x = -555 + w. What is the common denominator of x and -73/153?
765
Let b = -6673 + 420365/63. Find the common denominator of b and 83/609.
1827
Let y be 45 - 0/((-4)/(-2)). Suppose -56*x + 152 = 20*x. Suppose y = -p + 4*p + 3*s, 0 = x*p + s - 28. Calculate the lowest common multiple of 5 and p.
65
Suppose -2*b + 126 + 240 = 0. Suppose -7*g + 50 = b. Let z = 25 + g. What is the smallest common multiple of z and 18?
18
Calculate the common denominator of -81/16 and ((-2)/(-6680))/((-220)/6050).
2672
Let x = 1911/62 + -22660/93. Let c = x - -487/3. Let m = 617/42 - -38/21. Calculate the common denominator of m and c.
2
Let l = 13555 - 13549. Calculate the smallest common multiple of l and (6/2 + -2)*22.
66
Suppose -2*v + 30 + 90 = 0. Let j = -33 + 461/14. Find the common denominator of j and (-1254)/v - 4/(-10).
14
Let d(b) = -b**2 - 4*b - 9. Let y be d(6). What is the common denominator of 99/16 and -2 - y/(-84) - 2/7?
112
Let p be (6920/(-150))/(-1) + 4/(-30). Suppose -21 = z - 4*m - 59, -3*m = 3*z - 69. Suppose -6*a + z = -p. What is the lowest common multiple of a and 8?
24
Let o be 3*-1 + (-1 - -109 - 4). Suppose 4*z = 3*a + o + 50, z = -a + 29. Let j = z - 22. Calculate the lowest common multiple of j and 8.
24
Calculate the common denominator of 158/120 - (-27 - -26)*(3 + -5) and 143/2748.
13740
Let s(g) = 475*g - 87. Let t be s(31). Let l = 1449218/99 - t. What is the common denominator of l and 57/22?
198
Let u = -3224869/4340592 + -3/30143. Calculate the common denominator of -109/120 and u.
720
Calculate the common denominator of ((-434)/(-144) + -3)*(-29)/((-4756)/(-808)) and -79/26.
19188
Let r = 404981/48 - 25315/3. Find the common denominator of 73/288 and r.
288
Calculate the common denominator of -39/320 and (46/64)/(7 + (-2 + -9 - -6)).
320
Let c = 40 - 32. Suppose c*b = b + 35. Suppose b = 5*a - 25. What is the lowest common multiple of a and 4?
12
Let g(y) = 32*y + 224. Let s be g(-7). Suppose s = 10*p - 343 + 103. Calculate the smallest common multiple of p and 246.
984
Suppose -169*a + 164*a - 5*y + 1485 = 0, a - y - 305 = 0. Calculate the smallest common multiple of 129 and a.
903
Suppose 10*f + 825 - 1815 = 0. Suppose -16*u = -20*u + 180. What is the smallest common multiple of f and u?
495
Let x(m) = -m - 6. Let a be x(-18). Calculate the lowest common multiple of 30 and a*2 - (-51)/(-17).
210
Suppose 5*a = y + 5 - 17, 0 = -2*y - a + 2. Let w = 223 - 283. Calculate the common denominator of -49/118 and -1 + y/8 + 549/w.
590
Suppose 13*z - 285 = 8*z. Suppose 2*x + 0*k = 5*k - 61, -3*k = 4*x + z. Calculate the common denominator of 101/4 and (-508)/18*x/(-24).
12
Let n = -82343/12 + 6850. What is the common denominator of 5/8 and n?
24
Let r = 1353 + -1351. Let u(z) = 103*z**2 + z. What is the least common multiple of u(-2) and r?
410
Let d be 19/2158*(8296/(-16) - 2). Let m = 2/3237 - d. Calculate the common denominator of -74/33 and m.
132
Let b = 262 - 262. Suppose -4*x - p + 1122 = b, 2*x - 5*p = x + 270. Calculate the smallest common multiple of 2 and x.
280
Let z(b) = -5*b + 7. Let d be z(-5). Let h = -5001 + 30095/6. Calculate the common denominator of h and (-4)/(d/21) + 10/(-2).
24
Let r = -122 - -118. Let m be