Let p = 1152583/666 + r. Let a = p + -1736. Find the common denominator of a and -3/11.
66
Suppose -1 + 9 = -2*b + 4*r, -3*r = -4*b + 4. Suppose -h + 69 - 12 = 0. Let n = h + -55. Calculate the smallest common multiple of b and n.
4
Let f = -205779304302475/11851990773 - 2/136229779. Suppose 4*s - 15314 = 54138. Let d = s + f. What is the common denominator of d and 32?
87
Let o(c) = -7*c + 3. Let u be o(1). Let n be ((-7)/(-14))/(2/u). What is the common denominator of (2 + n)/4*79 and 31/6?
12
Let q = 3400 - 3357. Suppose -w = 4*w - 5. Calculate the lowest common multiple of q and w.
43
Suppose -14 + 29 = -l. What is the common denominator of ((-822)/45)/((-132)/l) and -73/18?
198
Find the common denominator of (-2899)/3120*4 + (-1 - 14/(-8)) and 91/1194.
5970
Let d = -11682 + 8215. Let t = -38163/11 - d. Calculate the common denominator of t and 66/198 + 1 + 109/(-30).
110
Let y = -241277/1368 - -3326/19. Calculate the common denominator of 29/1096 and y.
9864
Find the common denominator of 432/210 - -3*2/(-21) and -87/364.
1820
Let b = -178/39215 + 1/1705. Let a be (-2)/21 - 640373/120428. Let p = a + b. Calculate the common denominator of p and -77/6.
12
Suppose -5*q - 83 + 528 = 0. Let b = 83 - q. What is the smallest common multiple of 15 and -4*(15/40)/(b/28)?
105
What is the common denominator of 113/1080 and (126/168)/(15/(-12)) - 717/(-360)?
1080
Suppose 12 = -4*w - 4. Let p be ((20/6)/(-1))/(w/6). Suppose -26 + p = -3*r. Calculate the smallest common multiple of r and 5.
35
Let l = -186577/20 + 9332. Find the common denominator of l and 173/480.
480
Let v = 2 + 2. Suppose 0 = v*a - 7*a + 24. What is the lowest common multiple of 2*(-17)/(102/(-12)) and a?
8
Suppose -190*i - 36 = -199*i. Suppose -i*j - 4*j = -96. Let w(o) = o**3 - 5*o**2 - 3*o + 9. What is the lowest common multiple of w(6) and j?
108
Let a(q) = -7*q**3 - 5*q**2 + 6*q - 3. Let u(y) = -6*y**3 - 6*y**2 + 5*y - 3. Let l(h) = 4*a(h) - 5*u(h). What is the smallest common multiple of l(-5) and 116?
232
Calculate the common denominator of (-9)/(-30)*(5 + (-4815)/162) and -53/170.
1020
Let m = -1780 - -1810. What is the smallest common multiple of m and 1794?
8970
Let t = -36 + 54. Suppose -w = t - 62. What is the lowest common multiple of w and 48?
528
Let t(h) = -5*h - 16. Let s be t(-4). Suppose c = s*k + 1, -5*k = -c - 19 + 18. Suppose -504 = c*w - 16*w. What is the smallest common multiple of 8 and w?
72
Suppose -3*x - 3*m = -7*m - 920, -5*x - 4*m + 1576 = 0. Suppose 2*n = 5*n + 5*c - 200, 5*n + 3*c = x. Calculate the smallest common multiple of n and 24.
120
Let i = 5 + -4. Suppose -6*g - 107 + 95 = 0. Find the common denominator of i/(-6)*(-37)/g and -43/22.
132
Let q be 194618/24507764*(-131)/3. Let k = q + -1/11553. Find the common denominator of k and -79/8.
888
Calculate the smallest common multiple of ((-8)/12)/(7 - (-510)/(-72)) and 256.
256
Let v(s) = -2*s**3 - 17*s**2 - 43*s - 144. Calculate the lowest common multiple of 129 and v(-7).
1290
Let s = -2618 + 2652. What is the smallest common multiple of s and 26?
442
Let j = 467 - 467. Suppose 6*n - 493 + 109 = j. What is the lowest common multiple of 88 and n?
704
Suppose 0 = -4*a - 40, -133*p + 138*p - 30 = -4*a. Suppose 13 = -5*n + 188. What is the smallest common multiple of p and n?
70
Suppose 52*q + 1233 = 51*q. What is the common denominator of q/420 + ((-4)/14)/(-1) and 5/68?
340
Let g = -556049/11 - -50551. What is the common denominator of (0 - 4)*2/52 and g?
143
Let a = 1395020231/309660 + -292824/65. Find the common denominator of 73/33 and a.
52404
Let c(a) = -a - 4*a**3 - 30 + 2*a**3 - 2*a - 318*a**2 + 345*a**2. Let u be c(13). Let p = 136 - u. What is the lowest common multiple of 40 and p?
360
Suppose 6*d = 9*d + 63. Let v = -21 - d. Calculate the common denominator of 51/8 and (-1 + 58/88)*8 + v.
88
Let s = -173 - -184. Suppose -5*q = -b + 22, q - 8 = 3*q. Calculate the smallest common multiple of s and b.
22
Let k = -98 + 506. Let f = k - 4073/10. Calculate the common denominator of ((-7)/42)/(4/(-122)) and f.
60
Suppose -b = 3*a - 1285, -4*a = -4*b - 2237 + 497. What is the least common multiple of a and 55?
4730
Let s(j) = 63*j - 1374. What is the lowest common multiple of s(22) and 40?
120
Suppose 17 - 15 = 3*u + 5*c, 4*u + 2*c = 12. Suppose 5*w - 170 = -u*f, 3*f - 45 = -w - 0*w. What is the lowest common multiple of 36 and w?
180
Suppose -5*x + 5*c = -645, x + 238 = 3*x + 2*c. Let b(t) = -t**2 + 30*t - 114. What is the lowest common multiple of b(25) and x?
1364
Suppose 5*s = 10*s - 40. Let i(h) = 10*h - 39. Let w be i(s). Find the common denominator of w/4*3*1/12 and 101/10.
80
What is the smallest common multiple of 514 and -5*(-1 - (55/(-25) + 2))?
1028
Let a(l) = -l**2 + 5*l - 7. Let q be a(3). Find the common denominator of q - 3 - (-1424)/144 and 65/9.
9
Calculate the lowest common multiple of 4 and (12/(-144))/((-3)/12) + (-3814)/(-6).
636
Suppose r - 7 = -14. Let n be -2*10/5 - r. Suppose 0 = 2*q - 5*d - 2, -q - 2*d + 7 = -n. What is the lowest common multiple of q and 30?
30
Let y = 28/2283 + -49361/239715. Calculate the common denominator of y and -137/330.
6930
Suppose 6*k + 5 = 3*k + 4*p, -4*k - 5*p - 48 = 0. Let l = 1429 + -1450. What is the common denominator of k/2*(-14)/l and 56/3?
3
Let p = 9 + 6. Calculate the common denominator of 2/(-3) + 19/(-10) and (12/p - 46/(-330))/(-1).
330
Let i(o) = o**3 - 7*o**2 + 25*o - 86. What is the lowest common multiple of 404 and i(6)?
2828
Suppose -2682*n + 2659*n + 17296 = 0. What is the lowest common multiple of n and 8?
752
Calculate the least common multiple of ((-5)/10 - (-126)/(-4))/(57/(-2223)) and 585.
18720
Suppose 8*y - y = -42. Calculate the common denominator of ((-1)/y - 0)*(-720)/(-270) and 13/11.
99
Suppose 0 = -q + 2*t + 4, -5*q + 8 = -3*t - 26. What is the common denominator of q/6*4520/2240 and -17/35?
210
What is the lowest common multiple of -5 + -2 - ((-10936)/16)/(2/4) and 40?
1360
Let o(t) = -24*t + 6. Let z(g) = 12*g - 3. Let b(i) = -3*o(i) - 5*z(i). Let v = 110 + -83. What is the least common multiple of v and b(2)?
189
What is the common denominator of -5/5033 and (9/(-2))/((-19)/(-38)*5)?
25165
Let i(z) = z + 9. Suppose 0 = -16*n + 326 - 214. What is the least common multiple of i(7) and n?
112
Let q = -27677 - -37949. What is the least common multiple of q and 60?
51360
Let j = -287316 + 89642461/312. Calculate the common denominator of j and 71/30.
1560
Let b be 52/(-3)*(-9)/6. Suppose 0 = 4*q + 4*n - 44, -18*q = -20*q - 4*n + b. What is the least common multiple of q and 17?
153
Suppose -5*m + 97 = -0*u + 4*u, 5*u + 4*m = 128. Suppose 5*o - 4*o = 5*i - 238, i - 2*o - 44 = 0. What is the lowest common multiple of i and u?
336
Let o = -170612516/927 - -184048. What is the common denominator of 43/309 and o?
927
Let p be 14*(2 + -3) - -6. Find the common denominator of 2 - 161/252 - (-6)/p and -83/330.
990
Let u = 12448/1215 - 11/243. Let i = -2277687/1026592 + -2/32081. Find the common denominator of u and i.
160
Suppose q + 699 - 3109 = 0. Let m = -1390 + q. What is the lowest common multiple of m and 14?
7140
Let o = -165334604791/20590164 + 7/2941452. Let d(a) = 10*a**2 + 25*a + 350. Let y be d(-29). Let x = o + y. Calculate the common denominator of 5/164 and x.
1148
Let d = -5852091/296308 - -2/74077. Find the common denominator of (-467)/(-380) - 4/10 and d.
76
Let x = 1327/50 - 76/25. Suppose 0 = -k + 1947 - 292. Let w = 14935/9 - k. Find the common denominator of x and w.
18
Suppose -192764 = -221*j + 5*j + 217636. What is the smallest common multiple of j and 40?
3800
Suppose 318 = 2*f - 4*o, o = 4*f + 4*o - 647. Suppose -f - 2359 = -7*y. Calculate the smallest common multiple of y and 16.
720
Let v = 89 - 88. Find the common denominator of 113/40 and v/2 - (-496)/640.
40
Let m be (35/21)/(2 - 31/4). Let y = -6083/276 - m. Find the common denominator of -38/17 and y.
68
Let m = 476 - 479. Calculate the smallest common multiple of 166 and 91/13 - (-15)/m.
166
Let w = -47 - -49. Calculate the common denominator of (-3)/((-255)/93 + 3) and (-798)/(-288) - (w + -2).
48
Let b(w) = w**3 - 27*w**2 - 2*w + 62. What is the lowest common multiple of 4384 and b(27)?
4384
Let o be (-5)/(70/8) - (-145110)/29