4253/100344 - -3/4181. Calculate the common denominator of q and -97/8.
24
Let x(y) = -15 - 12010*y**2 + 14 + 30567*y**2. Let p be x(1). Let h = p + -501083/27. Calculate the common denominator of h and -10/27.
27
Let l be (6/15 - 0)/(8/360). What is the common denominator of (-2)/l + 9603/(-3240) and 83/40?
40
Let w = 658 + -644. Find the common denominator of 51/4 and ((-4)/w)/(348/19285).
12
Let q(i) = 2*i**3 - 125*i**2 + 1049*i + 21. What is the least common multiple of 176 and q(10)?
176
Let s(w) = -w**3 + 4*w**2 + 10*w - 12. Let j be s(5). Suppose j*l - 12*l = 60. Calculate the least common multiple of 36 and l.
180
Suppose 0 = 3*n + 12, -3964 = -4*s + 34*n - 29*n. Calculate the smallest common multiple of 2 and s.
986
Let f(s) = -91*s**3 + 69*s**2 + 214*s + 6. Calculate the lowest common multiple of f(-3) and 1036.
34188
Let h = -77075/54 - -12832/9. Let v = -87553/18 - -4860. Find the common denominator of h and v.
54
Let n be (3 - 2) + 2178 - -4. Let v = n + -19625/9. Calculate the common denominator of (-12)/(-28) - (-3 + 2) and v.
63
Let d be 1*(418 - 5)/7. Suppose -24 = -5*g - 69. What is the common denominator of 53/3 and d/g + (-2)/(-1)?
9
Let h = 2066 + -20667/10. Calculate the common denominator of 7/265 and h.
530
Let i = 5803/10 - 571. What is the common denominator of i and 71/22?
110
Let h = -2570 - -2618. Suppose 3*p = 9, -5*k + 2*k - 3*p + 225 = 0. What is the least common multiple of h and k?
144
Suppose -17*m + 30 = -20*m. Let g(j) = -j**3 - 10*j**2 - 4*j. Calculate the least common multiple of g(m) and 40.
40
Suppose -8*u + 11*u - 18558 = 0. Let l = u - 86519/14. Calculate the common denominator of l and -14/5.
70
Suppose -260*k + 262*k - 36 = 0. Suppose -k*i + 101 - 29 = 0. What is the common denominator of -61/4 and i?
4
Suppose -6*x = -x - 1260. Suppose h + x = 5*h. Calculate the smallest common multiple of h and 1432/48 - (-1)/6.
630
Let g(m) = -2*m + 9. Let j be g(4). Let y be j/4 + (-130332)/48. Let h = y + 89615/33. Calculate the common denominator of h and 109/12.
132
Let u = 42 - 168. Find the common denominator of ((10/165)/(-2))/((-4)/u) and 107/18.
198
Let h(b) = -5*b + 31. Let m be h(6). Suppose -m = 3*w - 3*g - 31, -3*g - 42 = -4*w. What is the least common multiple of w and 11?
132
Let x = 100374 + -24691879/246. Find the common denominator of 44/41 and x.
246
Let v(j) = -2*j**3 - 58*j**2 + j + 30. Calculate the least common multiple of v(-29) and 1068.
1068
Let a = 2850437516/55 - 51802097. Let b = a + -24039. Calculate the common denominator of b and 181/30.
330
Let r = 113 - 97. Suppose -r*b - 270 = -25*b. What is the lowest common multiple of 10 and b?
30
Suppose 2*x - 1 + 11 = 2*u, -5*u = -x - 17. Find the common denominator of ((-13)/(-22))/(u - (-65)/(-25)) and (-730)/110*1/2.
44
Let u = -1117 - -1129. What is the smallest common multiple of 942 and u?
1884
Let h be 640/(-8)*48/(-10). Let r = h + -359. Calculate the smallest common multiple of 20 and r.
100
Suppose -114 = 4*v - 110, -5*g = -8*v - 28. Calculate the least common multiple of 3254 and g.
6508
Let p = -7041/130 - -17588137/324610. Calculate the common denominator of -3/77 and p.
17479
Suppose -x + 0*f - f + 15 = 0, 2*x = 3*f + 55. What is the lowest common multiple of x and (-121 + 130)*17*2?
3060
Suppose 2*a + 8*z - 3*z + 2 = 0, 0 = 3*a + 4*z + 10. Let p = 8408 + -8405. What is the common denominator of (0 + p*4/32)*a and -38/3?
12
Let h(o) = -7*o**3 - 3*o**2 - 20*o - 16. What is the lowest common multiple of 497 and h(-1)?
3976
Let n be (3 - 239400/22) + 1. Let v = n + 10866. Let z = v - -1126/99. Calculate the common denominator of z and -54/13.
117
What is the common denominator of (-3)/((-17820)/(-410)) - 2/(-6) and -71/396?
1188
Calculate the common denominator of -15 + (-17)/((-510)/819) and -73/236.
1180
Suppose 3 = 4*b - p - 5, 0 = -4*b - 5*p + 8. Find the common denominator of 434/110 + 16/(-40) and (-6)/33 + (-311)/(-154)*b.
77
Let x(z) = -z**3 + 11*z**2 + 18*z + 26. Let o be x(12). Calculate the common denominator of -19/2 and 2*((-10)/200)/((-2)/o).
10
Suppose 0 = -2*k + f + 1, 4*k + 3 = 3*f - 6*f. What is the least common multiple of 18 and -1*(-2 - -1)*(7 + k)?
126
Let k = 37 - 42. Let j = -24083/10 - -2400. Calculate the common denominator of j and (-6 - k) + 255/(-12).
20
Suppose -2*k - 2*h + 5 = -k, k - 3*h = 0. Let b be 300/(-7 + k) + -4. Let n = b + 108. Calculate the smallest common multiple of 10 and n.
290
Let g = -35335 - -14557989/412. Let c = -13445/12 - -1117. Calculate the common denominator of c and g.
1236
Let g(n) be the first derivative of -9*n**4/4 - n**3 - 7*n**2/2 - 8*n - 42. Calculate the least common multiple of 66 and g(-2).
66
Let r be (-482)/4230 - (-3 - -2). Let z = r + 2/705. Let j = 13/180 + -37/20. Find the common denominator of j and z.
9
Let a be (-28654523)/86130 + ((-4)/(-11))/2. Let t = 1663/5 + a. Find the common denominator of t and 11/63.
378
Let k = 27 - 7. Let y = k + -15. Suppose -123 = -y*z + 67. Calculate the smallest common multiple of 16 and z.
304
Let l be 3/(-2) + 110/(-20). Let o(s) = -33*s - 208. What is the common denominator of (12/100)/((-4)/290) and o(l)?
10
Let l be 19 - (30/50)/(2/(-10)). Calculate the least common multiple of (5/(-30))/(3/(-9))*l and 118.
1298
What is the common denominator of -149/216 and (215/90)/(55/22 + -1)?
216
Let p = 29602 + -17997949/608. What is the common denominator of 115/48 and p?
1824
Let x = 14/183469 - 1948991971/10274264. Let m = 1329/7 + x. What is the common denominator of m and 5/8?
56
Let u = 89 - 85. Suppose 0 = -2*w - u, 0 = -5*c - 0*w + 5*w + 50. Calculate the least common multiple of c and 104.
104
Let x = -242 + 374. Suppose o = -x + 134. What is the smallest common multiple of o and 30/4 + (-2)/(-4)?
8
Let l = 19649 + -13239. What is the least common multiple of 6 and l?
19230
Let k be 5 - (2/17703)/((-56)/(-5487342)). Let p = k - 1/843. Find the common denominator of p and -25/34.
238
Let o be -5 - 2628/14 - (-2)/(-7). Let v = -179 - o. Calculate the lowest common multiple of 22 and v.
154
What is the common denominator of (355/(-20))/(85*276/80) and 16/161?
8211
Suppose -3*f + 4*g = 2707, 3*g + 428 = -f - 496. Let i = f + 1020. What is the smallest common multiple of 36 and i?
1332
Let r(d) = -57*d**2 - 23*d - 42. Let q be r(-2). Let x = q - -352. What is the least common multiple of 16 and x?
128
Let x(f) = -10*f**2 - 14*f + 77. Let b be x(-15). Let n = 15681/8 + b. Calculate the common denominator of -29/334 and n.
1336
Let t = 555 - 1396. Let j = 141229/168 + t. Calculate the common denominator of j and 7/22.
1848
What is the common denominator of -46/147 and 121/294 - (-512)/(-1152)?
882
Let s = 42 - 21. Let b be 143/3 - (-25)/75. Suppose b*y - 19*y = 348. Calculate the smallest common multiple of y and s.
84
Let h(a) = 4*a**2 - 1. Let c be h(-4). Let t = -59 + c. Suppose -2*k + t = -12. Calculate the lowest common multiple of k and 4.
8
Let t(w) = -w + 1. Let c be 2 + 6/(-4) - (-38)/(-4). Calculate the smallest common multiple of t(-2) and 4/6 - c/27.
3
Suppose 20*p = 16*p + 20. Suppose -2*v - 2*q + 49 = 3*v, -51 = -p*v - 3*q. Suppose 50 = 4*r - 10. What is the smallest common multiple of r and v?
45
Let v = -197 - -197. Suppose -16*b - 3*b + 608 = v. What is the least common multiple of b and 14?
224
Suppose -2*r + 109 = 5*k, 0 = -3*k + 2*r + 25 + 50. Let z = k + -16. What is the common denominator of -28/17 and z/(140/204) - 1?
85
Suppose -80*b = -75*b + 30. Calculate the common denominator of -83/15 and (-164)/6*(b - 1015/(-168)).
180
Let h = -49420/9 + 263617/48. Calculate the common denominator of h and ((-21)/(-120))/((-3)/44).
720
Let k = -13471 - -28287/2. Let c = 5405/8 - k. What is the common denominator of c and -31/4?
8
Let i(z) = z**3 - 9*z**2 + 26*z + 12. Calculate the least common multiple of 260 and i(6).
780
Let z be 1309/255 - 4/30. Suppose 40 = z*v - 4*i, 12*v + 4*i = 11*v + 32. What is the lowest common multiple of 258 and v?
516
Find the common denominator of ((-59)/1593)/(8/(-258)) and (2 + 2)/((-252)/(-76)).
252
Suppose -71*i + 4030 + 372 = 0. Calculate the least common multiple of 5 and i.
310
What is the common denominator of 53/6 and (-3381)/(-71530) - (1 - 16/20)?
1866
What is the comm