. Let g = -52699/8 + j. Find the common denominator of -81/160 and g.
160
Suppose -b + 48 = -3*h - 0*b, 0 = -5*h + 5*b - 90. What is the common denominator of 95/4 and 5/(-15)*h - 3/22?
44
Suppose -29*m - 714 = -46*m. Let o = 62 + -30. Suppose 4*h - o = -0. What is the smallest common multiple of m and h?
168
Let a = 14 + 28. Suppose 3*c - 3*t + a = 5*c, 5*t + 63 = 3*c. What is the lowest common multiple of 5 and c?
105
Let c = 1199357/859344 + 3/17903. Calculate the common denominator of 115/972 and c.
3888
Let g = 30 - 31. Let o be (19770/2790)/(206 + (0 - g)). Let u = o - -2/713. Calculate the common denominator of u and 76/33.
297
Let f be (5076/34209)/((-6)/593 + 0). Let y = -2/1267 + f. What is the common denominator of y and 25/41?
123
Let x be ((-162)/(-3))/((-6)/6). Let a be (14 - -23)*(-16)/x. Let r = a + -6493/378. Find the common denominator of 9/14 and r.
14
Let t = 19581 - 274019/14. What is the common denominator of t and 18/(-21)*(-504)/324 - 316/192?
112
Let d(n) = -n**2 - 65*n - 188. What is the smallest common multiple of 588 and d(-61)?
1176
Suppose m = 8*m - 4 - 3. Let n(c) = -3*c**3 - c**2 + 1. Let a be n(-1). Suppose 59 = a*h - 91. Calculate the smallest common multiple of m and h.
50
Suppose 5*n = -5*u - 4794 - 7401, 2*n - 6 = 0. Find the common denominator of -35/22 and u/480 - (-4)/(-40).
176
Let y = 22 + -36. Let z = 25 + y. Suppose h + 5*m - 8 = -22, 3*m = -2*h + 7. Calculate the least common multiple of h and z.
11
What is the lowest common multiple of 2288/55*(-5)/(-2) and ((-6)/9)/((-5)/330)?
1144
Let j = 550 - 4387/8. Suppose i + 0*i - 10 = 0. Find the common denominator of j and 2/8 - 75/i.
8
What is the common denominator of 14 + ((-11134)/437 - -12) and -143/666?
15318
Let n = 784453/30 + -26151. Let t = 4/20253 - 391618/303795. Find the common denominator of n and t.
90
What is the lowest common multiple of 465/((2/5)/(160/200)) and 2?
930
Let j(c) = 5*c**2 + 6*c + 7. Let m be j(-2). Let q(h) = -h**3 + m - 7*h + 3*h**2 + 2*h + 2*h**3 - 17. Calculate the lowest common multiple of 4 and q(-4).
4
Suppose 38*m + 4218 = 260*m. Let z(x) = x**2 + 3*x - 6. Let t be -1*6 - (-3 - -2). Calculate the smallest common multiple of z(t) and m.
76
Suppose -5*a = z - 13 + 3, -10 = -5*a - 4*z. What is the smallest common multiple of a and 2101?
4202
Let t = 965 + -534. Let u = -411 + t. What is the least common multiple of u and 10?
20
Let t(i) = -23*i + 128. Let f be t(4). Suppose 0 = f*d - 4125 + 1101. Calculate the smallest common multiple of 14 and d.
84
What is the common denominator of (29/4)/((-4)/(-12)) and ((-4)/((-64)/(-164)))/(-5 + (-5)/(-3))?
40
Let q = 597 - 472. Calculate the common denominator of 1/36 and (-142)/480 - (-50)/q.
144
Suppose 661*a + 6940 = -659*a + 1325*a. Calculate the smallest common multiple of 1735 and a.
6940
Calculate the least common multiple of (-8)/204 + 4333835/2805 and 6.
3090
Let y = -9844 + 11320. What is the lowest common multiple of 8 and y?
2952
What is the common denominator of 185/7030*-6*66/(-16) and 57/32?
608
Calculate the common denominator of (18/(-5))/18*8 and -59/1140.
1140
Let z be 1*(-3 - 4) - 5. Let q = 16 + -8. What is the smallest common multiple of (-123)/(-205)*z*5/(-2) and q?
72
Suppose 30240 = 398*c - 326*c. Calculate the smallest common multiple of c and 1470.
2940
Let t = 1698 - 25384/15. Calculate the common denominator of t and 1*(-9)/(-27)*(-7)/(238/82).
255
Let i(r) = r**3 - 10*r**2 + 18*r - 5. Calculate the smallest common multiple of (49/(-70)*-8)/((-4)/(-10)) and i(8).
154
Suppose -3*q + 7 = -8. Let p be q*-1*(-56)/70. Suppose p*a - 4*j = -0*a + 8, -4*j = a - 17. What is the lowest common multiple of a and 16?
80
Let y = 37825 - 25720989/680. Find the common denominator of -77/40 and y.
680
Let i = 2749 + -2719. Calculate the least common multiple of i and 432.
2160
Suppose 45*y = 64*y - 2005 + 637. What is the smallest common multiple of y and 144?
144
Let h = -11403679602 + 1756181890305/154. Let j = 98906 - h. What is the common denominator of j and 83/8?
616
Let x be 28/6 + (-8)/(-24). Suppose 5*b - 2*w - 34 = 0, x*b - 3*w - 29 - 2 = 0. Let r(v) = v**2 - 3*v - 8. Calculate the smallest common multiple of r(6) and b.
40
Let b = -23780067/50919484 + 5/1157261. Let q = b + 19/620. Calculate the common denominator of 56/165 and q.
165
Let d = 1/102959 + -722044/137038429. Calculate the common denominator of d and 21/484.
5324
Let k(j) = -j**3 - 2*j**2 + 2. Let r be k(1). Calculate the common denominator of 17/84 and r + 9 + (-1576)/192.
168
Suppose 0 = -3*r + 3, h - 9 = 4*r - 3. Let s be (6/10)/(42/35 - 1). Suppose 5*l = h, u = s*u - l - 6. What is the smallest common multiple of 12 and u?
12
Let x = -345 - -715/2. Let y = 36847681/94 - 392004. Let z = 5/47 - y. What is the common denominator of x and z?
2
Suppose 453*b = 447*b - 6. What is the common denominator of -127/12 and ((-6600)/4384)/(6/(-4)) + b?
1644
Let b be ((-738)/(-60))/(86/(-130) - -1). Let u = -92339/2596 + b. Find the common denominator of -93/8 and u.
472
Suppose -1320 = -406*s + 296*s. What is the lowest common multiple of s and 84?
84
Suppose -952*l = -933*l - 570. What is the smallest common multiple of 240 and l?
240
Let p = 2714 + 11566. Let j be p/80*4/3. Calculate the common denominator of 0 - (j/108 - 0) and -16/7.
378
Suppose 42 - 12 = 3*o. Suppose -5*i + 44 = -4*z + 201, -5*z + 195 = -5*i. Suppose -z = -5*k + 52. Calculate the lowest common multiple of o and k.
90
Let j = -39599/12 + 3303. Let g = 41730281/39429960 - 2/328583. What is the common denominator of g and j?
120
Calculate the common denominator of -13/343 and (-1)/(-2002)*1585 - (-2)/(-319)*29.
8918
Let y = 23017/6902 + 11/493. Calculate the common denominator of (-990)/(-12)*((-6)/(-260))/1 and y.
364
Calculate the common denominator of (-48 + (-12782)/(-264))/(2/68) and 111/530.
1590
Let z(o) = 79*o + 1. Let d be z(1). Suppose 3*h - 3*b - b + d = 0, 4*h + 2*b + 136 = 0. Let l = h + 54. Calculate the smallest common multiple of l and 2.
22
Let g = -6955/6 - -62731/54. Calculate the common denominator of g and (-14)/(-6)*((-3)/24 - 1960/(-2880)).
27
Let q = 3336 - 20089/6. Calculate the common denominator of q and 32/2005.
12030
Let f = -821225 + 1869929357/2277. What is the common denominator of 22/207 and f?
2277
Let o(z) = 2*z + 69. Let g be o(-24). Calculate the smallest common multiple of 110 and ((-2135)/g)/(-5) + (-1)/3.
220
Let a = -3/25214 - 35731/123523386. Let q = a + 89819/9798. Find the common denominator of -79/28 and q.
84
Suppose -5340*f - 1368 = -5348*f. What is the smallest common multiple of 285 and f?
855
Suppose -64865 = 31*w - 7019. What is the common denominator of -145/18 and 1/((-2880)/w) + 1/(-5)?
288
Let h(m) = -18*m + 1 + 20*m + 7. Calculate the lowest common multiple of h(5) and 28/3 - (16/3 + -5).
18
Let i(u) = -308*u - 10500. What is the least common multiple of i(-40) and 2730?
5460
Suppose 8*z = 6*z - 5*f - 1130, 2*z - 4*f + 1112 = 0. What is the common denominator of 83/152 and (-16)/(-112) - (-1018)/z?
760
Let g = -540 + 3307/6. Let c be 4*((3 + -2 - 3) + 6). Find the common denominator of (-22)/(-99)*132/c and g.
6
Calculate the common denominator of 38/115 and (-37)/20 + (-28)/(-224).
920
Calculate the common denominator of (-4)/(-7) - 1198266/2552004 and 15/19.
1482
Suppose -315 = -4*r - 4*j - j, 4*j - 396 = -5*r. Suppose -89*p + 80 = -81*p. What is the smallest common multiple of r and p?
80
Calculate the common denominator of (-213)/154 + 15 + -24 + 105/10 and 59/238.
2618
What is the common denominator of (-76)/(-57) + 6399/(-4722) and 21?
4722
Let m be (-8)/(32/(-1860)) - (-4 - 0). What is the common denominator of -55/194 and 4 + m/(-126) + 6?
1746
Let t(v) = -v**3 + 38*v**2 + 78*v + 86. Calculate the lowest common multiple of 350 and t(40).
1050
Let i = 624213 - 1227827000/1967. Calculate the common denominator of i and -58/1967.
1967
Suppose 0 = 3*v - 5*o + 62, 8 = -4*o. What is the smallest common multiple of (v/(-18))/(2/6) and 18?
36
Let j be (-57 - -61) + (-653307)/(-97510). Let v = -1/9751 - j. Calculate the common denominator of v and 125/6.
30
What is the common denominator of -86/195 and (-5595)/1040*2 - -11?
1560
Let m = 736 + 2529. Let x = 143593/44 - m. Let