44 and k?
132
Let x = -1074/133 - -1533/209. What is the common denominator of x and (-1 + (-34)/(-14))*-1?
77
Let v be 10/(-35) + (-1002)/21. What is the common denominator of -31/48 and -2 - 158/v - (-18)/135?
240
Let v(k) = -k - 21 + 15*k + 13 + k**3 - 13*k**2 + 34. Calculate the lowest common multiple of 4 and v(12).
100
What is the common denominator of (-6916)/346860 + (-118)/(-2419) and 53/81?
19035
Let t = -10893859/4985 + -72/997. Let p = t + 131669/60. Find the common denominator of 149/60 and p.
60
Suppose 0 = 5*d + 7 - 12. Let n(m) = -3 + 2 + 11*m + 2. Find the common denominator of 19/5 and n(d).
5
Let m(o) = -96*o**2 + 3 + 3*o + 45*o**2 + 53*o**2 - o**3. Let r be m(2). Suppose 14*k - r*k = 350. Calculate the least common multiple of 22 and k.
770
Suppose -2*c - 1395 = p + 2*c, -4*c = -3*p - 4137. Let i = 2507 + p. What is the lowest common multiple of i and 16?
4496
Let m = -7634 + 7683. Calculate the lowest common multiple of 63 and m.
441
Let d = -16 + 49. Calculate the lowest common multiple of d and (3*(-30)/(-108))/((-14)/(-84)) - -19.
264
Find the common denominator of -82/273 and 2/23 - (-31698)/(-7452).
546
What is the common denominator of -31/408 and (-41 + 7359/99)*(-1 + 26/16)?
408
Let m = -626306 - -187891973/300. Find the common denominator of m and 127/6.
300
Let u = 4553 + -2121. Let o = u - 97331/40. Calculate the common denominator of 113/40 and o.
40
Let g(a) = -3*a**3 + a**2 + 271*a + 3083. Calculate the lowest common multiple of g(-11) and 44.
46376
Suppose y - 86 = 188*z - 191*z, -z + 42 = 3*y. Calculate the common denominator of z and 41/470.
470
Let r = 27 - 17. Suppose -g + 311 = 311. Suppose g = v - 4, m + v - 58 = 14. Calculate the smallest common multiple of m and r.
340
Suppose 24*o - 23*o + 3 = 2*y, 67 = -5*o - 3*y. Let l(p) = 8*p + 95. Let d(z) = -z + 4. Calculate the least common multiple of d(3) and l(o).
7
What is the lowest common multiple of (6/(-6))/((-34)/12104) and 228?
20292
Let c = 18/199 + 10277/2985. Let z = -3/10531 - 305102/1042569. What is the common denominator of z and c?
495
Suppose 0 = 3*y - 7*y + 20. Suppose -148 = -y*o + 2. Let r = -86 - -95. What is the smallest common multiple of o and r?
90
Let u be ((-24)/(-5))/(57/1330). Suppose 0 = -115*k + u*k + 105. What is the lowest common multiple of 30 and k?
210
Let s = 7/352 + -3483/352. Find the common denominator of s and 65/111.
888
Let o(v) = v**2 - 13*v + 12. Calculate the lowest common multiple of 16 and o(0).
48
Suppose x - 6*x = -d + 4, -2*d - 6 = 4*x. Find the common denominator of 23/9 and (-1318)/(-540) - x/(-5).
54
Suppose -147*n = -77263 - 10478 - 128349. What is the lowest common multiple of n and 1575?
22050
Suppose 8*d = 516 - 28. Let h = d - 29. Let u = 35 - h. Calculate the least common multiple of 9 and u.
9
Let m(d) = 2*d**2 - d + 2. Suppose -13*w = -5*w. Suppose w = 12*u - 3*u - 63. Calculate the least common multiple of m(2) and u.
56
Let z = -10030289 - -116923079056/11657. Let d = z + -642967345/139884. Let m = 4592 + d. What is the common denominator of 121/18 and m?
36
Let k(s) = -s**3 + 122*s**2 + s + 1606. What is the smallest common multiple of 864 and k(122)?
1728
Let l be (1/(-3))/(2/(-36)). Suppose -g + 2*g + 4*r + 23 = 0, 3*g + 34 = -5*r. Calculate the lowest common multiple of ((-33)/l - g)*-4 and 46.
230
Suppose 12*z = -0*z + 24. What is the common denominator of (-105)/z*(-9)/(-21) and -95/8?
8
Suppose 0 = -3*u - 2*c + 2045, -2*c - 3*c = 4*u - 2722. Let n = 778 - u. What is the lowest common multiple of n and 4?
380
Let t = -579 - -646. Suppose 0 = t*q - 78*q + 132. Calculate the lowest common multiple of 128 and q.
384
Let f be 2/(-15) - (-146)/(-30). What is the lowest common multiple of 20 and 25 + 7 + f + -3?
120
Suppose 0 = -5*f - 2*d - 8, 3*f - d - 1 = -8. Let u = 18 - f. Suppose 2272*z = 2271*z + 4. What is the lowest common multiple of u and z?
20
Let p(w) = -3*w + 1. Let f be p(-1). Suppose j = f + 14. Calculate the least common multiple of j and 2*5*(-6)/(-20).
18
Suppose 19*j + 30 - 144 = 0. What is the smallest common multiple of -3 + 44/12 + 128/j and 12?
132
Let r(l) = -l**3 + 14*l**2 - 14*l + 53. Calculate the smallest common multiple of 68 and r(13).
680
Suppose 0 = -y + l - 164, -3*l = -y - y - 323. Let d = -155 - y. Calculate the smallest common multiple of d and 216.
1512
Let p be (40 + -5)/(1/3). Suppose 0 = 95*l - p*l + 80. What is the least common multiple of l and 8?
8
Let n = 39159 + 23303. Suppose -5*j = -5*z - 153050, -5*j - 3*z + 90564 = -n. Let t = j + -734417/24. What is the common denominator of 77/24 and t?
24
What is the common denominator of 59/334 and (-8019)/1336 - (-31)/(899/174)?
1336
Calculate the common denominator of 106/(-4)*(-114)/1197 and -25/159.
1113
Let f = -46 + 60. Let z(n) = -5*n + 63. Calculate the smallest common multiple of f and z(-7).
98
Let a = 116 - 86. Calculate the lowest common multiple of a and 655.
3930
What is the common denominator of ((-175)/3654*-3)/(5 - (-352)/36) and 73/16?
61712
What is the common denominator of -79/174 and (39/(-12441)*(0 - -2))/(3/(-57))?
1914
Let y(o) = 80*o**2 - 129*o + 548. What is the least common multiple of y(6) and 6?
7962
Let q = -22/357 - 11209/9282. Let a be 656/6*1/(-2). Let r = a + 247/6. What is the common denominator of q and r?
26
Let v = 6496 - 3723. Let x = -1450 + v. What is the common denominator of -49/3 and (x/28 - 1/4)/(-30)?
30
Let w = 110601701/790 + -140002. Find the common denominator of w and -67/474.
2370
Let j = 2797 + -6037. What is the common denominator of -8 - (-5)/(j/(-6018)) and 73/6?
108
Let j = -56/155 + 371/186. Calculate the common denominator of -103/670 and j.
2010
Let j = -27191/9 - -13812677/4572. Calculate the common denominator of -103/28 and j.
3556
Let t(n) = 22 + 0*n - n + 2*n. Let v(r) = r**2 + 11*r - 1175. Let f be v(29). Calculate the lowest common multiple of 34 and t(f).
238
Suppose 0 = 2*i - 2, c - 4*c = i - 16. Let b(y) = 18*y + 401. Calculate the lowest common multiple of b(-22) and c.
5
Let c be (7/10605)/((-1)/601). Let x = c + -1/303. Find the common denominator of x and -17/24.
120
What is the least common multiple of 21 and ((-67)/(-3))/(704/99 + -7)?
1407
Let l = -3509 + 319325/91. Find the common denominator of 47/35 and l.
455
Suppose 105*w - 20780 - 13385 = 10985. What is the least common multiple of w and 774?
3870
Let s = 13867324 + -28566659079/2060. Let q = 9/515 - s. Let a = 6269/272 + -389/16. What is the common denominator of q and a?
68
Let r(d) = -d**3 - d**2 + d + 674. Let s be r(0). Let n = s - 575. What is the smallest common multiple of 55 and n?
495
Let t(q) = -q**3 - q**2 - 8. Let z be t(0). Calculate the common denominator of 29/(-66) + 5 + 3 + z and 29/30.
330
Let f = -11993 + 119843/10. What is the common denominator of 11/3308 and f?
16540
Let v(r) = 13*r**2 + 21 - 14*r - 9*r**2 - 3*r**2 + 1. Let p be v(12). Find the common denominator of 53/20 and (524/(-440) - p) + (-2)/5.
220
Let i = 11 - -13. Let s be 0 - 0/2 - (15 - (-242)/(-22)). What is the common denominator of -19/80 and 2/s*6 - (-44)/i?
240
Suppose 4 = 4*g - 0*g. Calculate the common denominator of -6*1105/204*(-1 + 0/1) and (-135)/(-12) + (0 - g).
4
Let n = -1222/75 - -68583/4175. Find the common denominator of -107/18 and n.
3006
Let w(b) = b - 6. Let q be w(7). Suppose q = f - 2*f, -63 = -3*z + 3*f. Let v = 56 - 44. What is the lowest common multiple of z and v?
60
What is the common denominator of -62/5 and (-2 + 138/4*2)/180?
180
Let o = 62 - -123. Let j = o + -175. What is the smallest common multiple of 20 and j?
20
What is the common denominator of 532/24*(267/(-42) - (-21 + 14)) and -54/9305?
37220
Let d be 3/(-18)*4 - (-14748263)/786. Let h = d + -18763. Let x = 7715/524 + h. Calculate the common denominator of x and 54/13.
52
Suppose -70*p = -32*p + 28*p - 2310. What is the lowest common multiple of p and (-2)/(-2)*(-1 + 16)?
105
Let h(u) = 12*u**2 + 374*u + 374. Calculate the lowest common multiple of h(-1) and -5*16*3/(-10).
24
Suppose 24*n - 5940 = 20*n. Find the common denominator of -44/49 and -2 - 0 - n/(-616).
392
Suppose -t + 208 = t. Calculate the least common multiple of t and (60/(-8))/((-45)/108).
936
Let g = 171451586691941/52908427740 - -1