?
40
Let z = 473/1323 + -2/189. What is the common denominator of 534/154 - 10/(-35)*-14 and z?
539
Suppose -36*z + 40*z = 5*r - 624, 0 = 5*z + 30. Calculate the smallest common multiple of r and 264.
1320
Suppose -u = 3*n - 2*u - 34, -3*n - u = -38. Suppose 3*r + n*a - 472 = 8*a, 4*r = -a + 638. Calculate the lowest common multiple of r and 12.
480
Let w be (38/(-22) + 1)*(-232)/493. Let r = w + -7207/18326. What is the common denominator of r and 95/42?
294
Let b = 1032483/176 - 411100121/70224. Let d = b - 2/399. Let c = 5457/826 + -630/59. Find the common denominator of c and d.
28
Let l = -42 - -45. Suppose 0 = l*p - 14 - 1. Calculate the common denominator of 1/p - 782/680 and 93/20.
20
Calculate the lowest common multiple of 3 and (0 + 12/(-6) + 0)/(2/(-9)).
9
Let o = -12760 - -13563. What is the smallest common multiple of o and 1168?
12848
Let d = 7950 + -63503/8. Calculate the common denominator of 3395/(-770) - -2*2 and d.
88
What is the common denominator of 113/946 and ((-1053)/(-430))/39*15/(-78)?
24596
Let u(g) = -g**3 - 29*g**2 - 33*g + 48. Let x be u(-28). Suppose 4*k - 184 = -l, 4*k + l - x = -l. What is the least common multiple of 55 and k?
495
Suppose -9*k - 36 = -12*k. Calculate the common denominator of 174/k - (2 - -2)/(-4) and 17/4.
4
Suppose 130 = h - 15. Suppose 0 = 5*i - 3*m + 2, -i - 13*m = -10*m - 14. Calculate the lowest common multiple of i and h.
290
Suppose -2*q = 16 - 34. Suppose 11 = -q*t + 227. Calculate the smallest common multiple of 32 and t.
96
Let f(l) = -l**3 - 3*l**2 + 8*l + 6. Let q be f(-5). Suppose 0 = 4*i - 8*i - q. Calculate the common denominator of -17/36 and ((-1)/16)/(6/i*1).
72
Suppose -158072 = -114*c - 72*c - 6296. Calculate the smallest common multiple of c and 36.
2448
Suppose -l + 2*w = 7*w - 267, 2*l - w = 490. What is the common denominator of 95/24 and (-2)/(-6) - l/(-76)?
24
Let d = 11 - -74. Let y = -6162977/16 - -385184. What is the common denominator of y and d/(-22)*(-2)/10?
176
Let q = -299797/36 - -8329. Let w be (-50)/((4 - 1)*6/18). What is the common denominator of q and 5/(-4)*-4*(-35)/w?
36
Let i be (-2 + -2 + 5)*(-3 + 4). Calculate the smallest common multiple of (11 + -12)*1 - (-12 + i) and 9*1*1/1.
90
Let v = 266 + -155. Suppose -19*z + 357 - 77 + 119 = 0. Calculate the smallest common multiple of v and z.
777
Let w(m) = -m + 36. Let y = -17 - -16. Calculate the least common multiple of y + 17 - (-20)/5 and w(18).
180
Suppose 384 = -4*q - 760. Let s = q + 298. Calculate the smallest common multiple of 24 and s.
24
Let g(c) = 2*c**2 + 80*c + 474. What is the smallest common multiple of 8 and g(-6)?
264
Let z = 31355 + -31345. Let a(n) = -n**2 - 10*n + 9. Calculate the lowest common multiple of z and a(-9).
90
Suppose -k = 2*l - 241, 5*k - 41 + 276 = 2*l. What is the lowest common multiple of 840 and l?
840
Let i = -572749/170 - -43629/17. Let n = 802 + i. What is the common denominator of n and 73/8?
40
Let l = -2027855 + 14172269/7. Let w = -6475/2 - l. Calculate the common denominator of 3/(-2)*92/(-15) and w.
70
Let w(z) = -18*z**2 + 398*z - 2. Let d be w(22). Let s(l) = l**2 - 6*l + 6. Let a be s(5). Calculate the common denominator of 76/3 and 510/d*14/48 + a.
24
Suppose 2*z + 5*h - 131 = 0, 2*z + z - 2*h - 187 = 0. Suppose 0 = -52*s + 61*s - z. What is the least common multiple of 3 and s?
21
Suppose -4*v = 5*h - 7*v + 12, -4*v - 16 = 4*h. Calculate the least common multiple of 45 and h/(-2)*(-7 + (-968)/(-24)).
450
Let j = -190 - -242. Suppose -j*g = -43*g - 63. What is the smallest common multiple of g and (-5)/(-3)*(-24)/(-2)?
140
Let t(u) = -1 - u**2 + 11 - 54 - 4 - 20*u. What is the least common multiple of t(-6) and 32?
288
Let b(y) = -y**2 + 22*y - 9. Let n be b(21). Let u = 3/2765 - -12701/16590. What is the common denominator of 639/n*(-2)/(-36) and u?
120
Let k be (-3)/(-9) - 5/(-3). Let t = 332 + -362. What is the common denominator of t and (-292)/56 + (-3)/k?
7
Let g(w) = 17*w - 122. Let m be g(10). Find the common denominator of (m/5)/((-1936)/80) and -29/44.
484
Let p = 2/66277 - -3115009/331385. What is the common denominator of -9/7384 and p?
36920
Let z be (80/(-35))/((-1)/35). Calculate the common denominator of (486/(-20))/((-48)/z) and 2/(-1) - 173/(-64).
64
Find the common denominator of (1/16)/(4/296) and -9 - (-21123)/23130*-5*-2.
2056
Let n(h) = 13*h**2 + 94*h - 9. Calculate the lowest common multiple of n(-8) and 36.
2556
Let s(t) be the third derivative of -5*t**4/24 + 11*t**3/3 - 8*t**2. Suppose 38*k - 20 = 42*k. Calculate the least common multiple of 3 and s(k).
141
Suppose -2*k + 3 = -1. What is the common denominator of (-6 - -7) + (273/24 - 2) and 21/161*27/k?
184
Suppose -3*a - 88 = -11*a. Suppose 16*y + 275 = a*y. Calculate the lowest common multiple of 10 and 22/y - (-184)/10.
90
Let y be (-5 + -1)/(-5*12/690). Let v = y - 67. Calculate the lowest common multiple of v and (-4 + 32/12)*18/(-8).
6
What is the lowest common multiple of 109 + (-55)/44*4 and 286?
1144
Suppose 51*h - 457 = -155*h + 1603. What is the least common multiple of 2892 and h?
14460
Let a = -17 + 35. Let i(y) = -16 + 10 - 6*y + 26 + y**3 + 10. What is the smallest common multiple of a and i(0)?
90
Let s(n) = n**3 - 9*n**2 + n - 6. Let t(z) = z + 9. Let y be t(0). Let l = 360 - 330. Calculate the least common multiple of l and s(y).
30
What is the common denominator of -105/184 and (-1 - (-58)/64)*972/3312?
2944
Suppose -5 + 23 = -3*p. Let k(u) = u**3 + 6*u**2 + 9. Calculate the lowest common multiple of 18 and k(p).
18
Let m = -324295/18 + 18022. Suppose 0 = 3*i + 2574 + 4230. Find the common denominator of (-9)/21 + 3*(-1528)/i and m.
54
Let w(f) be the first derivative of -21*f**2/2 - 40*f - 103. Calculate the least common multiple of w(-4) and 32.
352
Let w = 18 - -4. Suppose 48 = 5*i - w. Calculate the smallest common multiple of (-30)/8 + 6/2 + 1003/68 and i.
14
What is the least common multiple of 340 and 120/14*(-265608)/(-930)?
12240
Let k = -54/131177 - 22607761/208571430. What is the common denominator of k and 34/3?
1590
Suppose -5*c + 85 = -5*h, -h - 3*h = -c + 14. What is the lowest common multiple of 2646 and c?
2646
Suppose 0 = 4*k - 3*c - 176, 4*c = 5*k - 26 - 194. Let a be ((-18)/8)/(-3 + k/16). Calculate the smallest common multiple of a*1 - (10/2)/5 and 22.
88
Suppose -3*v = -4*a + 2475, -5*v + 86 = -2*a + 1299. Calculate the smallest common multiple of a and 195.
3120
Let u(k) = k**3 - 2*k**3 - 3*k**2 - 2 + 6 - 564*k + 554*k. What is the lowest common multiple of u(-4) and 9?
180
Calculate the common denominator of (((-13161)/(-5576))/(3/4))/(-115) and -21/85.
3910
Let a be ((-1134)/2548)/(147/(-471) + 0). Let b = -1/343 + a. Calculate the common denominator of -61/4 and b.
52
Let r = 3481 - 3453. What is the least common multiple of 9 and r?
252
Let m = 21941 + -21768. What is the lowest common multiple of m and 9?
1557
Let c = -8 - -9. Let v(o) = 3*o**2 + o. Let n be v(c). Suppose n*g - 32 - 16 = 0. What is the lowest common multiple of g and 58?
348
Let b be (-27 - -2)/((-2 - -1) + 2). Let x = b - -31. What is the common denominator of x/(-84)*3*-29 and -69/14?
14
Let k be -8 + -11 + 16 + (0 - -1). Let z = 13 + -5. Calculate the common denominator of 61/6 and k/z - 52/(-128).
96
Calculate the common denominator of 8/(-11648)*164 - (-3 - 74/(-26)) and 105/286.
4004
Let d be (-22 + 3 + -12)*1*-1. What is the common denominator of 21/4 and (3/(-90)*d)/((-168)/54)?
280
Let n(m) = -5*m**2 - 15*m + 4. Suppose 2*w + 16 = 2*y - 4*y, 34 = -3*y - 5*w. Calculate the smallest common multiple of n(y) and 13.
52
Let g be (105/10)/((-148)/(-629826)). Let u be (-4)/(-30) + (-6 - 2010999/(-45)). Let t = g - u. Calculate the common denominator of t and -51/8.
296
What is the common denominator of -63/1000 and (-273)/160 - 114/95?
4000
Let j = -28743 + 28873. What is the least common multiple of j and 170?
2210
Suppose 111 = c - 1369 + 240. Calculate the least common multiple of c and 620.
1240
Let a = -41459718523 - -2001260613309583/48270. Let n = a + -1/1609. What is the common denominator of 40/100 - 89*(-6)/(-160) and n?
240
Suppose -699 + 539 = -5*u. Calculate the lowest common multiple of u and 24*9/(162/24).
32
Let t = 469121/9243330 + -502/5