ppose -585*u = -583*u - 2*n - 246, 2*u = -3*n + 291. Suppose -2*a = -4*d - 20, 5*a + d - 50 = -d. Calculate the lowest common multiple of u and a.
660
Let j = -3523/17490 + -1/11660. What is the common denominator of j and -41/605?
7260
Suppose -16 = -10*u + 34. Calculate the smallest common multiple of 6 + 5 + 78 - u and 16.
336
Let i(c) = 26 + 68*c**3 + 39*c - 36*c**3 + 38*c**2 - 34*c**3. Calculate the lowest common multiple of 9 and i(20).
18
Let t = 2872/3795 - -21/115. Calculate the common denominator of 42/735 + (32/1050)/(54/3180) and t.
297
Let t be ((-312)/30)/(2/(-140)). Let l = 329 - t. Calculate the common denominator of (90/(-16))/(l/(-28)) and 119/10.
190
Let k = -6 + 9. Let s be 3/(-6)*k + 3/2. What is the common denominator of (-1 - -53)/(s - 9) and -17/20?
180
Let y = 59059/137286 - -2/2367. Let z = 0 - 33. Find the common denominator of (z/24)/(4/20) - 2 and y.
232
Let p = -240053/3 - -83228. Let t = -3008 + p. Let i = t + -983/6. What is the common denominator of -31/12 and i?
12
Calculate the common denominator of 57/32 and (-276)/(-161)*69/(-48).
224
Suppose -5*k + 66 = 2*a, 4*a + 23 + 27 = 3*k. Suppose -513 = -27*i + 8*i. Calculate the common denominator of -25/21 and 385/k*(-2)/i.
189
Find the common denominator of -87/3424 and (-19)/(-19) + (0 - ((-56452)/5136)/(-11)).
10272
Suppose -5*i + 270 = u, 139*u - 137*u - 378 = -7*i. Suppose -4*k - 5*g = -91, 68 = 4*k - k + 4*g. What is the smallest common multiple of i and k?
216
Let j be (95/(-2) - 2)*1268/(-3). Let p be 4 + (0 - 83691/j). Let o = -223195/188298 - p. What is the common denominator of 95/12 and o?
108
Let g be 74/6 - (48/(-18) + 4). Suppose -g*u + 480 = -u. Calculate the smallest common multiple of 60 and u.
240
Let k(g) = -g**3 + 20*g**2 - 22*g + 54. Let x be k(19). Find the common denominator of (-2*x/944)/(81/(-1026)) and 31/6.
708
Suppose -4 = -7*q + 31. Suppose -p + 4*p - q*v = 87, p - 15 = -3*v. Suppose 21 - p = -g. Calculate the least common multiple of 10 and g.
30
Let n = 99 + -82. What is the common denominator of (-190)/(-209)*n/4 and -123/20?
220
Suppose -j + l + 748 = -1349, -3*j - 5*l = -6235. Calculate the smallest common multiple of 380 and j.
4180
Let l = -2/330489 + -1725823/10575648. What is the common denominator of l and 37/1080?
4320
Suppose 4 - 2 = o. Suppose -4*m = -9*m + 20. Suppose -32 = -3*l + 2*v, -o*l + m = v + 2*v. What is the lowest common multiple of 17 and l?
136
Suppose -19*r + 60 = -111. Calculate the common denominator of (-6)/(-2) - (6345/70)/r and -17/14.
14
Suppose -47*b + 35083 - 11019 = 0. What is the lowest common multiple of b and 704?
5632
Suppose 3*b - 4*z - 1529 = 0, 8 = -3*z - 7. Let q = b - 1987/4. Let y = 8877 + -70919/8. Calculate the common denominator of q and y.
8
Let y = 125/9 + -599/36. What is the common denominator of (-8)/16 - (-210)/(-108) and y?
36
Suppose 4*o = -8, 0 = -3*i - o + 3*o - 47. Find the common denominator of (-6)/(-216)*242/i and 59/14.
2142
Let k = 894/173 - 232437/41866. Calculate the common denominator of 41/7 and k.
1694
Let w = -267471251/14 + 19117695. Let l = -12611 + w. Find the common denominator of (-508)/(-560) - (-25)/175 and l.
140
Let p = 11482470999507883 + -48249342872463655035/4202. Let q = -63652659 + p. Let x = q - 3/382. Find the common denominator of x and 145/6.
66
Suppose 4*g = 2*c, -10 = -3*g + 2*g - 2*c. Suppose 4*a = -4*d + 372, 2*a - d = g*d + 171. What is the smallest common multiple of a and 2?
90
Suppose 3*o - 640 = -4*b, 48*o - 51*o + 4*b + 680 = 0. Calculate the least common multiple of o and 572.
2860
Let t be (-448)/(-42)*(-6)/(-4). What is the common denominator of (-1 - (-10)/25) + 606/(-40) and (-44)/t*(-4 - -18)?
4
Let c(a) = -5*a + 31. Let x be c(5). What is the common denominator of -73/2 and ((-22)/6)/(x + (-872)/132)?
20
What is the common denominator of -68/9 and 249/(-2)*(4/(-10))/(3456/(-160))?
36
Let x = -2/335 - 13001/10720. Find the common denominator of x and 2 + 126/(-80) + (-21)/(-14).
160
Let t = -1107889/48510 + 12288/539. What is the common denominator of t and 41/1470?
4410
Let t(p) = 25*p**3 + 4*p**2 - 5*p + 2. Let b be t(1). What is the common denominator of (b/78)/((-1)/67) and 34/195?
195
Suppose l + 1 - 15 = 0. Suppose -w + 6 = 2*y - 11, 5*w = 4*y + 15. What is the least common multiple of l and w?
14
What is the common denominator of -51/28 and (0 - (-291)/(-120))/((-134)/(-335))?
112
Suppose b - 4379 = -4*d - 3930, -4*b + d = -1915. What is the least common multiple of 180 and b?
9540
Let v(b) = -b - 15. Let r be v(13). What is the least common multiple of (1 - (-36)/r) + 86/7 and 27?
108
Let q = 203/130 - 3841/3900. Calculate the common denominator of q and -53/60.
300
Suppose 19*c - 7418 + 2012 = 2194. Calculate the smallest common multiple of 175 and c.
2800
What is the smallest common multiple of 1018 - (12 - (-322)/(-23)) and 884?
13260
Let c(r) = r**3 + 7*r**2 - 2*r + 11. Let h be c(-9). Find the common denominator of -52/9 and h/(-48) - (-6)/18.
144
Let i = -117475/224 - -3670/7. Find the common denominator of -95/906 and i.
14496
Suppose 2*o = 2*l + 212, -13*o + 5*l + 90 = -12*o. What is the smallest common multiple of 70 and o?
770
Suppose 2*a + 413 = t, 3*t - 12*a - 1219 = -11*a. Let w = t + -387. Calculate the smallest common multiple of w and 78.
234
Calculate the common denominator of (184/(-16))/(336/(-52)) + -2 and -77/80.
1680
Let t(q) = -93*q - 2988. Calculate the smallest common multiple of t(-39) and 72.
5112
Let z = 48655 + -20094475/413. What is the common denominator of 119/6 and z?
2478
Let s(v) = 7*v**2 - 1. Let r be s(-1). Let j = r + -3. Let c(h) = -1113*h + 1119. What is the smallest common multiple of j and c(1)?
6
Let a(x) = 29*x + 16 - 7*x**2 - 2 + 8*x**2. Let c be a(-27). Calculate the least common multiple of 4 and ((-3)/((-18)/c))/(14/(-21)).
20
Suppose -327*f - 329*f + 646*f = -25350. Calculate the least common multiple of f and 35.
17745
Suppose -3 = -3*g + 5*i, g = -87*i + 83*i + 18. Let u = -8 - -18. Calculate the smallest common multiple of g and u.
30
Let k(b) = -2*b**2 - 17*b + 7. Let z be k(-9). Suppose 3*o - 51 = 5*n, -5*n + 2*n - 21 = -o. What is the smallest common multiple of o and z*1/2*-12?
12
Suppose 135*h - 130*h - 30 = 0. Calculate the smallest common multiple of h and 5.
30
Let r be (2/(-3))/(16/183045). Let d = -7617 - r. Let c = -1277709/10 + 127763. Find the common denominator of d and c.
40
Suppose 0 = -a - o + 12, 5*a + o = -o + 45. Suppose -9*y + 70 = -a*y. What is the lowest common multiple of 15 and y?
105
Let b = -8765/1396 + 10/349. Let q = 3/77588 + -30192819/77588. Let o = -348287/896 - q. Calculate the common denominator of o and b.
128
Calculate the common denominator of ((-11)/(-264)*-51)/(6/(-28)) and 23/33.
132
Let a(h) = h + 6. Suppose -3*x - x - 4*g = 16, x + 2*g = -4. Let t be a(x). Calculate the common denominator of 37/18 and t + 0 - (-120)/(-16).
18
What is the common denominator of 174/(-320)*115/552 and ((-765)/165)/(1 + -4)?
2816
Calculate the common denominator of 139/36 and -1*3*2 + -9 + (-21743)/(-1428).
252
Let h(w) = 21*w**2 - 10 - 11*w**2 + 8*w - 11*w**2. Let s be h(3). Calculate the common denominator of (2/(-4))/((-2868)/(-570) - s) and -61/119.
714
Let o = -256 - -910. What is the least common multiple of o and 9?
1962
Let j be 6*-2*(-36)/(-16). Find the common denominator of (6/344)/(((-75)/(-830))/5) and j/288*(2 - -4).
688
Suppose 0 = -2*s - 4, -3*r + 2*r + 1 = 2*s. Suppose i - r = 1. Calculate the smallest common multiple of i and 2/(2/9) + -1.
24
Suppose -v + 25 = 4*v. Suppose -2*m - 3*m = -i - 31, v*m - 13 = -2*i. Calculate the common denominator of -33/20 and 214/34*1/i.
1020
Let m = 52/2615 - -81487/31380. Let y = -15293/1140 + 174/95. Calculate the common denominator of y and m.
60
Let w = -270885 - -1083531/4. Let r be (-17 - 0) + (-4 - -5). Calculate the common denominator of (18/165)/(r/95) and w.
88
Let i = -281291/225 - -7501/6. Calculate the common denominator of i and -143/60.
900
Let u(m) = -79*m - 621. Calculate the least common multiple of u(-8) and 359.
3949
Let y = -114 + 131. Let w be -20 + y - (-2 + 3). Find the common denominator of (-187 - w)*(-4)/(-24) and 18/5.
10
Let l = -470 - -476. Let c be -44 - 9/(18/(-8)).