r of y and -81/700.
7700
Let p = -6/8377 + 561319/83770. What is the common denominator of -187/690 and p?
690
Let k(w) = -w**3 + 8*w**2 + 18*w - 12. Let x be k(10). Let j = x + 45. Suppose -1 + j = v. What is the smallest common multiple of 18 and v?
36
Suppose 0 = -6*i + 315 + 27. Suppose 31*h - 34*h - i = 0. Let q = 27 + h. Calculate the smallest common multiple of 16 and q.
16
Suppose -18*r - 46 = -154. What is the least common multiple of 3 - (r/(-2) - 48/16) and 10?
90
Let w(h) = h**3 - 5*h**2 + 5*h - 7. Let r be w(5). Suppose b - 15 + r = 0. Calculate the smallest common multiple of 9 and 5 + (12/2 - b/(-1)).
72
Let t = -20 - -30. Calculate the common denominator of ((-171)/10)/(16 - t) and 150/8 - (-1 - -4).
20
Let c(f) = -f**3 + 61*f**2 - 56*f + 792. What is the least common multiple of 1204 and c(60)?
7224
Let v = 659 - 637. Calculate the least common multiple of 66 and v.
66
Suppose 5*w - 212*p + 215*p - 2757 = 0, 3*w + 3*p - 1659 = 0. What is the smallest common multiple of 21 and w?
3843
Let y = 12418 + -12376. Calculate the smallest common multiple of y and 51.
714
Suppose 0 = -u - 5 + 46. Suppose u*v = 44*v - 54. Let d = 88 - 14. Calculate the smallest common multiple of v and d.
666
Let v(t) = -t**3 - t**2 + 68*t + 239. Suppose -5*u = -2*o - 154, 0*u + 156 = 5*u - 3*o. What is the smallest common multiple of v(-4) and u?
30
Let a be ((-210)/(-90))/((-3)/18). Let p = a - -23. What is the least common multiple of 33 and p?
99
Suppose 8*d - 9702 = -3*d. Let w = 18560/21 - d. Find the common denominator of w and (4 + 466/(-108))*-4.
189
Suppose -l = -8*l + 1071. Suppose u - 2180 = -2146. Calculate the least common multiple of u and l.
306
Let z = 1481 + -20647/14. Let c = 69863281/280 + -249512. Calculate the common denominator of z and c.
280
Let g be (-70)/4 + (-1)/2. Let l = -61/16 - -565/16. Calculate the common denominator of l and (-3)/(-3)*23/g.
18
Calculate the smallest common multiple of 6 and 8/2 + (-3)/(-15)*505.
210
What is the common denominator of 17/1425 and -2 - 1/((-50)/104)?
1425
Let n = 7793843/180 - 43300. What is the common denominator of n and -52/45?
180
Let c(f) = -f**3 + 15*f**2 - 10*f + 49. Let y be c(14). Let t = y - 95. Calculate the lowest common multiple of t and 16.
80
Let i = -25 + 541. What is the least common multiple of 120 and i?
5160
Let m(v) = 101*v**2 - 7*v + 30. What is the least common multiple of 3 and m(3)?
918
Let u(z) = -z**2 - 42*z + 671. What is the least common multiple of 451 and u(-49)?
3608
Suppose 3*j + j + 308 = -4*a, 4*a - 3*j + 329 = 0. Calculate the common denominator of 149/12 and a/(-280) + (-25)/896.
384
Let f = 19371/10 - 1942. Let i = 1/2779 - -69079/1100484. What is the common denominator of f and i?
1980
Let k = -195020 - -60261254/309. What is the common denominator of -17/412 and k?
1236
Let g = 17944 + -287007/16. Calculate the common denominator of (-805)/7590*(-2)/(-42)*(1 - -12) and g.
1584
Suppose 603*h - 544*h - 531 = 0. Calculate the least common multiple of 1330 and h.
11970
Let n = 7895 + -23668/3. Calculate the common denominator of n and 29/12.
12
Let l(s) = s**3 + 13*s**2 + 27*s - 20. Let d be l(-10). Calculate the lowest common multiple of 56 and 36/180 + 78/d.
56
Let w(i) = -i**3 + 15*i**2 - 4*i + 28. Let h be w(15). Let t = 60 - 101. What is the common denominator of t and (-12)/h*-23 + 4?
8
Let q = 2 - -3. Suppose -q = x + 2. Let g(w) = -3*w - 11. What is the lowest common multiple of 9 and g(x)?
90
Let n = 1221 + -895. Let b = 386 - n. What is the least common multiple of 15 and b?
60
Let m = 4417095163/714590 + 2/357295. Let b = m - 6175. What is the common denominator of b and 23/10?
10
Let y = 233 + -230. Let a(v) = -60*v - 25. Calculate the lowest common multiple of a(-4) and y.
645
Suppose 4*l = 32, r - 38*l + 34*l = 3036. What is the least common multiple of r and 44?
33748
Let h = 59/240 - 1529/720. Find the common denominator of 103/30 and h.
90
Let x = 1019/1931 + 81263669/19310. Let q = x + -4214. What is the common denominator of q and 51/100?
100
Calculate the common denominator of 99/1462 and -6 + 4361/1428 + 4 + 6/(-4).
8772
Let d = -274323186/1559 + 175961. Let l = 122641/62360 + d. Calculate the common denominator of l and 5/6.
120
Suppose -4*z = -2*z. Suppose -x - 4*q = -9, z = 5*x + q - 0 + 12. Calculate the smallest common multiple of 6 and -20*(x - (-18)/10).
24
Let t be (3/(-2))/((-2)/180). Suppose t = 15*i - 0. Calculate the lowest common multiple of i and 11.
99
What is the common denominator of (-10)/210*889/60 and -143/228?
3420
Let k(m) = 4*m**2 - m + 7. What is the lowest common multiple of k(3) and (28 + -903)*17/(-85)?
1400
Calculate the smallest common multiple of 22 and 10 + 700/(20/2).
880
Calculate the least common multiple of (-8)/32 + 19/((-456)/(-966)) and 528.
2640
Let p = -1795063 + 2391023797/1332. Calculate the common denominator of 103/28 and p.
9324
Suppose 311 = 153*g - 152*g. Let r = 597/2 - g. Calculate the common denominator of r and (51/(-18))/(1/(-9)).
2
Suppose -5*p = 5*x + 90, 3*p + 50 = -x - 8. What is the common denominator of 103/12 and (895/p + -1)/6?
24
Let o(u) = 13*u**2 + 43*u - 236. What is the smallest common multiple of 40 and o(6)?
1960
Let n(v) = -929*v + 3 + 873*v + 1. Let f be n(-8). Let a = f + -4072/9. Find the common denominator of a and -97/36.
36
Let o = 101 - 77. Suppose 65*k = 1427 - 387. Calculate the lowest common multiple of o and k.
48
Let c be 20/(4 + (-208122)/52029). Let u = c + 50988323/294. What is the common denominator of u and -27/8?
1176
Suppose 3*j + 1 = 4*y - 622, 4*j = -y + 151. Let x = -6211/506 + 298/23. Calculate the common denominator of y/(-5)*2/(-4) and x.
22
Let q be (-2)/(-1) - (-3157881601)/629790. Let s = q + -228/14995. Let a = s - 5038. Calculate the common denominator of -119/50 and a.
150
Let w = -222409/16 - -13906. Find the common denominator of w and 33/1240.
2480
Let k(l) = -l**2 - 13*l - 28. Let m(j) = -1. Let f(g) = -k(g) + 3*m(g). What is the lowest common multiple of 15 and f(-2)?
15
Let f(h) = -2*h**2 + 95*h + 174. Calculate the smallest common multiple of f(49) and 60.
540
Let x = 6229513/60 - 103828. Find the common denominator of 85/72 and x.
360
What is the smallest common multiple of (783/(-12))/((-126)/56) and 46?
1334
Suppose 70*p + 48*p - 78*p - 240 = 0. Calculate the least common multiple of 15469 and p.
92814
Let o(v) = -56*v - 26. Let i be o(-2). Suppose -8*c = 2*d - 3*c - i, -5*c = -20. Calculate the smallest common multiple of 31 + 0 + -4 + 0 and d.
297
Let c = 159/56 + 1/56. Let x = c + 275/14. Calculate the common denominator of x and -67/15.
30
Suppose 1850 - 1900 = -5*l. Let p(u) = u**2 + 6*u + 7. What is the smallest common multiple of p(-5) and l?
10
Let a = 20938 - 20106. Calculate the lowest common multiple of a and 286.
9152
Suppose 4*q - 20 = 4*w, q - 11 = -2*w + 5*w. Suppose -5*l + 10 = 5*c, -q*l = -l. Suppose c*f - 36 - 6 = 0. Calculate the lowest common multiple of 9 and f.
63
Let c = 32535/518 - 21009867/5180. Let r = 3992 + c. Let f = -18613/6 + 3096. Find the common denominator of f and r.
60
Suppose 710*y - 5*k + 13340 = 712*y, 5*k - 6655 = -y. Calculate the lowest common multiple of 4 and y.
26740
Suppose -k - 3*k - 4*h = 464, 5*k + 584 = -4*h. Calculate the common denominator of (-394)/k + 2/(-5) and 3 + -2 + (-1)/(-1) + 15811/(-582).
60
Let f = -252 + 252. Suppose f = -y + 80 - 75. Let m(s) = -s**3 + 6*s**2 + 2*s + 2. Calculate the smallest common multiple of y and m(5).
185
Let b = -279459 + 214624559/768. What is the common denominator of b and 103/288?
2304
Let y(a) = -6*a - 11. Let l be y(-8). Suppose l*b - 54 = 43*b. What is the common denominator of 61/9 and -5 + 8 + (-24)/b + -2?
9
Suppose -z - 2*n - 3 = 0, -7*z - 3*n = -10*z. What is the lowest common multiple of 0 - ((-4)/z - 8) and 266?
532
Let g(c) = c**3 - 7*c**2 + 9*c - 13. Suppose p - 9 + 1 = 0. Let u be 32/6 - (p/(-3) + 2). What is the least common multiple of g(u) and 7?
35
Suppose -22*v = 3*v - 400. What is the lowest common multiple of 48 and v?
48
Suppose 3*y = -4*s + 589, -6*s - 297 = -8*s - y. Suppose -5*w + 4*m = -s, w - 29 = 2*m + 6. What is the smallest common multiple of w and 10?
270
Suppose 2*c - 6*n = -4*n + 10, -5 = -2*c + 3*n.