.
210
Let h be 1*(302 - 2)/4. Suppose -3*u - 44 = -4*n, -5*n + h - 20 = u. What is the lowest common multiple of 1*((-6)/9 - 25/(-15)) and n?
11
Suppose -81*w = -175*w + 154912. What is the lowest common multiple of 2266 and w?
18128
Suppose 0 = 2338*v - 2312*v - 39884. Calculate the smallest common multiple of v and 4.
3068
Suppose -10*j + 93 - 23 = 0. Calculate the common denominator of 6/(-135)*((-2058)/(-8))/j and 77/15.
30
Let j = 1355 - 276. Suppose -a = 560 + 232. Find the common denominator of j/a - (-24)/132 and -65/2.
72
Calculate the common denominator of (-44)/286 + 756/(-1001) + (-2)/6 and (2/44)/((-3)/50).
33
Suppose 0*x = 5*x + 2*c - 1, -2*x - 4*c = 6. Let l = -1928543/116882 + -5/58441. Calculate the common denominator of l and x/(-3)*(-36)/(-11).
22
Suppose -362 = -3*h + 2*z, 3*h - 5*z - 457 + 101 = 0. Calculate the smallest common multiple of 10 and h.
610
Find the common denominator of -2 + (10 - 1) + 30885/(-5800) and (-1)/(40/(-274)) - 8/10.
40
Let d = 985223/28 - 70305/2. Let c = -10271/252 + d. Find the common denominator of 3/10 and c.
90
Let x be ((-25510)/50)/(-6*12/(-4910)). Let l = 34789 + x. What is the common denominator of 11/12 and l?
36
Let u = 932479/100 + -9324. Find the common denominator of (-1 - (7 - 6)) + (-193)/(-80) and u.
400
Let z(g) = -g**3 - 8*g**2 + g + 26. Let v be 93/(-12) + (-12)/48. Calculate the smallest common multiple of z(v) and 4.
36
Let l = 170749/36 + -4742. Calculate the common denominator of l and (4*1)/((-125)/(-40) - 2).
36
Suppose -225*m = -229*m - 12. Let k(n) = -30*n + 5. Calculate the least common multiple of k(m) and 133.
665
Let n = 20179/10 - 2012. Suppose w + 6 = o + 5, 0 = -o + 2*w - 3. Suppose -o*t - j + 175 = 0, 4*t - 6*t + 2*j + 58 = 0. Find the common denominator of t and n.
10
Suppose 4*n + 8 = 40. Let q be 2/12 - 71/(-6). Suppose -2*d + 10 = -q. Calculate the lowest common multiple of n and d.
88
Suppose 2*q - 215 = -t, -4*t - 2*q + 857 = 3*q. Let i = 8359 + -8344. Calculate the lowest common multiple of i and t.
1065
Suppose 0 = c + 2*c - 2*r + 2, 3*c + 4*r = -32. Let j be 1*100/(-8)*c/6455. Let h = 42443/20656 + j. Find the common denominator of -1/20 and h.
80
Let l(i) = -4*i**3 - 26*i**2 + 21*i + 28. Let k be l(-14). What is the least common multiple of 3 and 3 + k/34 + (-24)/204?
168
Let v = -1460776023133/3984 + 366660646. Let o = v + 33/83. What is the common denominator of -31/72 and o?
144
Let k = -56 + -376. Calculate the common denominator of 14/81 and (-6)/(k/(-28))*2.
81
Suppose -3*n + 1074 = -3*i, 5*n - 3*i + 357 - 2131 = 0. What is the smallest common multiple of 1400 and n?
1400
Calculate the common denominator of (-6 + 66136/10857)*(-84)/(-112) and -7/1222.
13442
Let i(p) = -59*p**3 - 3*p**2 - 6*p - 3. Let l be i(-1). Suppose -3*q = 3*c - 105, -q + 5*c = -0*q - l. What is the least common multiple of 8 and q?
312
Suppose -10*x = -151 - 29899. Let c = x + -15076/5. Let i = c + -3/10. Find the common denominator of 91/20 and i.
20
Let w(v) = -v**2 + 9*v - 5. Let r(f) = -4*f. Suppose 0 = -3*g, -2*b = 3*b + 5*g + 10. What is the lowest common multiple of r(b) and w(6)?
104
Let a = -6447/5 + 154703/120. What is the common denominator of a and (-4)/(-10) - (-237)/20?
24
Suppose -5*c = -7 - 8. Suppose d = c*x + 2 - 7, -3*x = d - 1. Calculate the lowest common multiple of 71/3 + d/(-6) and 22.
264
Let o = -1643/12 + 437/3. Let b = 1662627 + -16694457/10. Let l = -6825 - b. What is the common denominator of l and o?
20
Let y = 15568 + -326989/21. Let b be (214/42)/(453/243). Let r = 13/453 + b. Calculate the common denominator of r and y.
21
Let f(r) = -2*r - 2. Let l be f(2). Suppose 402*z - 410*z = -16. Find the common denominator of 61/18 and z + 31/l + 2.
18
Let m(a) = -a - 107. Let n be m(0). Let b be (-1107)/(-9) + 2/(-2). Let z = n + b. Calculate the least common multiple of 9 and z.
45
Find the common denominator of (-33)/(-66)*(-1)/(-938)*-164 and -53/3.
1407
Let s = -247 + 251. Suppose -s*c = -4*d - c + 2319, d - 4*c = 596. What is the smallest common multiple of d and 10?
2880
Let v(k) = k**3 + 3*k**2. Let f be v(-2). Let m(l) = -74 + f*l**3 + 96 - l**3 - 2*l**3 + 17*l**2. What is the least common multiple of m(-17) and 16?
176
Let m be 69/92 - (-1843)/(-4). Let v = 487 + m. Calculate the smallest common multiple of 9 and v.
27
Let j = 136997 + -100692772/735. What is the common denominator of j and -17/315?
2205
What is the least common multiple of (192/(-15)*-2)/((-10)/(-25)) and (-2)/(4*2/(-64))?
64
Suppose -143*f + 145*f = 4*w + 338, -2*f - 5*w + 374 = 0. Calculate the smallest common multiple of 363 and f.
21417
Let c(s) = -s**2 - 6*s + 249. What is the least common multiple of 237 and c(12)?
2607
Let d(m) = m**2 - 2*m + 1. Let n(l) = 3*l**2 + 21*l + 14. Let u(k) = -4*d(k) + n(k). Calculate the lowest common multiple of 112 and u(29).
560
Suppose -2 = -u - 5*w, u - w + 1 = 15. Let l = 3236/3 + -51661/48. What is the common denominator of l and (-9)/u + 1 + (-1225)/60?
48
Suppose 0 = t - 5*o - 41, -4*t - 169*o = -173*o - 68. Calculate the least common multiple of t and 257.
2827
Let k be 15/6 + (-3)/(-6) + -1. Suppose -k + 14 = 3*i. Find the common denominator of 39/22 and (-42)/i*240/1232.
22
Suppose 0 = 5*j + 2*s + 260, 50 = -2*j - s - 53. What is the common denominator of 25/11 and (j/60)/((-18)/570)?
22
What is the least common multiple of 85 and 10/25 - 153/(-5) - (-73)/(-73)?
510
Let l(w) = 6*w + 57. Let p be l(-10). Let v(x) = 4*x**3 + 2*x**2 - 3*x - 3. Let i be v(p). Calculate the common denominator of 264/(-9)*(-2)/i and -49/15.
315
Suppose 0 = -3*r - 3 + 15. Suppose -5*l + 1 + r = 0. Suppose x + 3*q = 2, -9*q + 10*q = -3*x + 22. What is the lowest common multiple of x and l?
8
Let a(n) = 13*n**2 + 7*n + 5. Let v be a(-5). Calculate the common denominator of v/28 - 2/7 and (-4)/(-176)*(-384)/(-52 - -46).
44
Suppose 0 = -k - 3, 70 = 4*b + 2*k - 20. Calculate the smallest common multiple of -12*4/(-6) - 5 and b.
24
Suppose -y = 7*w - 2*w - 83, -3*y - 5*w = -299. Calculate the lowest common multiple of y and 4.
108
Let d = 4/8305 + -111311/49830. Let g = d + 194/15. Calculate the common denominator of (2682/(-360) - -5)*2/(-1) and g.
10
Let h(u) = -1666*u + 1. Calculate the least common multiple of h(0) and 706.
706
Let q(t) = 11*t + 117. Let u be q(-10). Let c = -14 + 23. Calculate the smallest common multiple of c and (3/(-21))/(u/(-245)).
45
Suppose 2*t - 108 = -12. Suppose 2*a + 5*s = -11, -5*a - 157*s + 156*s + 7 = 0. What is the lowest common multiple of a and t?
48
Let c = -8584/399 - -24/133. Let k = 7950 + -63879/8. Let i = k - -31. What is the common denominator of c and i?
24
Let b = 55026 + -4292099/78. What is the common denominator of 127/156 and b?
156
Let x = -3402977/66 + 51562. Find the common denominator of -115/182 and x.
6006
What is the smallest common multiple of 5951 and 2953470/546 + 5/7?
59510
Let z = 40053 - 39995. Calculate the least common multiple of 108 and z.
3132
Let q = 17 - -1. Let g = 253 + -617. Calculate the smallest common multiple of (-36)/270 - g/30 and q.
36
Suppose -1053 = -4*g - 5*o + 715, 0 = -4*g + 2*o + 1796. Find the common denominator of 4 + g/(-36) - 2 and -41/38.
228
Let a = -13868 + 69302/5. Find the common denominator of a and 36/2369.
11845
What is the common denominator of 6*3/54 + 146/360 and (1215/(-40))/(15/(-10))?
180
Suppose -3*n + 4 = -a + 2*a, -4*a + 16 = -n. Calculate the common denominator of (-8 + 480/(-28))*(-1)/a and -15/77.
77
Let q(y) = -40*y**2 - y - 3. Let o be q(-8). Let z be (-32)/56 + (-1453)/o. Let j = z - -1681/730. Calculate the common denominator of j and 56/9.
90
Let q(r) = -3*r - 60. Let g be q(18). Calculate the lowest common multiple of 24/(-10) + 24/60 - g and 24.
336
Let x(t) = 2*t**2 - 2*t - 3. Let v be -6 + (-9)/((-36)/200). Calculate the lowest common multiple of v*((-92)/16 - -6) and x(3).
99
Let n = 14111 + -14096. What is the lowest common multiple of n and 310?
930
Suppose 3*s = -5*f + 95, -3*f - 37 + 95 = 2*s. What is the lowest common multiple of 340 and f?
1360
Let r = -34/13 + 315/26. Let f = 10275 + -185071/18. What is the common denominator of f and r?
18
Suppose 2*m + 21 = 131. Suppose 5 + m = 5*v. Calculate the lowest common multiple of v