4 - 2742. What is the common denominator of m and (-34)/(-14) - p/2?
28
Let n = -10 + 13. Suppose -n*u + 3 = -9. Calculate the lowest common multiple of 18 and 21 + (u - 2 - 1).
198
Suppose -4*b - 4 - 6 = -2*o, 5*b = 0. Suppose q + 19 = -5*a, 0 = 4*q + 4*a + 1 - o. Calculate the least common multiple of 31 and q.
186
Let j = 7 - 5. Suppose 5*r = 3*w + 84, j*w + 6 = r + 5*w. What is the lowest common multiple of r and 9?
45
Suppose b + 5 = 10. Suppose 3*g + 5 + 37 = b*z, -3*z + g + 26 = 0. Calculate the lowest common multiple of z and 8.
72
Let r = 39 + 21. Calculate the common denominator of (6 - r)*1/(-16) and -13/18.
72
Let p(h) = -h**3 + 8*h**2 - 10*h + 3. Let v(y) = 2*y**3 - 16*y**2 + 21*y - 5. Let t(r) = 9*p(r) + 4*v(r). What is the least common multiple of 32 and t(7)?
224
Suppose 8*m - 16 = 4*m. Find the common denominator of ((-35)/(-30))/((m/(-15))/(-1)) and -19/18.
72
Calculate the common denominator of -1*(-215)/90*-3 + -3 and -79/6.
6
Let a be (-6)/(-4) + 42/28. Suppose 22 = a*k - 2*s, 3*s - 2 = -2*k + 4. Let c(m) = -m + 8. Calculate the smallest common multiple of c(5) and k.
6
Let y = 9/229 + 6771/2519. Calculate the common denominator of y and (6/(-60))/(12/(-145)).
264
Let g = 62157 + -12990773/209. What is the common denominator of -41/114 and g?
1254
Let f be (4 + -2)*(0 - -2). Let c = 12 + -12. Suppose f*p = -c*p + 24. Calculate the smallest common multiple of 8 and p.
24
Suppose -4*y - 3*q = -38 - 33, 4*y = 4*q + 92. What is the smallest common multiple of y and (-5)/15 - 75/(-9)?
40
Let j be 6 + -4 - (-3 - -8460). Let g = -118451/14 - j. What is the common denominator of (-1 + 54)*(-1)/(-10) and g?
70
Suppose -3*f = -616 + 40. Calculate the lowest common multiple of 6 and f.
192
Let p = 50 - 17. Let g be (-12)/(-60)*52270/p. Let b = -955/3 + g. Calculate the common denominator of 52/11 and b.
11
Suppose 3*x - 4492 = 5*g, 3*g + 348 = x - 1152. Let n = x + -6067/4. What is the common denominator of n and 9/8?
8
Suppose 0 = -2*t - 3*b + 24, 4*t = 2*t - 4*b + 28. Calculate the smallest common multiple of 2/(-4) + (-5)/(-2) and t.
6
Let r be 15/10*11*(-202)/6. Let h = -537 - r. Calculate the common denominator of h and 73/15.
30
Let d(k) = k**2 + 2*k - 10. Let y be d(-5). Let h(n) = y*n + 11 - 143*n**2 + 142*n**2 + 3*n. Calculate the lowest common multiple of h(9) and 11.
22
Let t = -1055 - -2149/2. Suppose 0 = -2*f - 4*a - 0*a - 15452, 0 = -2*f + 2*a - 15434. Let u = -123567/16 - f. What is the common denominator of u and t?
16
Let d = -48 - -60. Calculate the least common multiple of d and ((2 - 2) + -2)*-4.
24
Let a = 591 + -589. Calculate the least common multiple of 17 and a.
34
Calculate the lowest common multiple of 125 and ((-92)/24 - 1/(-3))*-50.
875
Let j be 400101/(-144)*8/(-1732). Let q = j + -1/3464. Find the common denominator of q and -57/16.
48
Let f = 271 - 259. Calculate the smallest common multiple of 10 and f.
60
Let g = -46291/12 + 3863. What is the common denominator of g and 95/12?
12
Let w = -622 - -942. Let l = 6724/21 - w. Find the common denominator of l and -19/63.
63
Calculate the common denominator of -59/55 and (-6)/5*(-171)/266*7.
55
Let q be (-15)/(-12)*(0 + 4). Suppose -3*u = 12, 27 = q*y - 4*u - 24. What is the smallest common multiple of 26 and y?
182
Suppose k - 7 = -1. Let d = 14 - k. Calculate the least common multiple of d and 4 + 1 + (-4)/1.
8
Suppose -4*r = -4, 3*w = -5*r + 10*r + 13. What is the least common multiple of 192 and w?
192
Let h(u) = u**3 - 13*u**2 + 7. Let p be 345/27 - 5/((-90)/4). What is the lowest common multiple of h(p) and 6?
42
Suppose 73 = -3*i - 467. What is the common denominator of 1/3*(-282)/20 and 16/(-72) - (-41)/i?
20
Suppose -c - 3*c = -5*f - 128, -3*f = -2*c + 66. Calculate the common denominator of 461/72 - (-6)/c and 58/7*(-28)/12.
24
Let s(z) = 71*z + 359. Calculate the least common multiple of 175 and s(-5).
700
What is the common denominator of (-2)/6 - -129*7/(-189) and -25/18?
18
Let h = 739/451 + -14/11. Calculate the common denominator of h and 111/14.
574
Suppose 4*l = 7*l. Suppose l = 3*k - 0*k - 30. Suppose 0 = 3*p, -4*p + 27 = 3*b - 3*p. What is the lowest common multiple of k and b?
90
Let g(k) = -k**2 - 21*k + 4. Suppose 4*r - r = -63. Calculate the lowest common multiple of g(r) and 14.
28
Suppose -178 = -15*m - 28. What is the least common multiple of m and 11?
110
Let q(f) = 6*f - 33. Calculate the lowest common multiple of q(9) and 21.
21
Calculate the common denominator of -39/647 and (22 - 2) + (-123)/82.
1294
Calculate the least common multiple of 40/(-3 + 11) - -103 and 32.
864
Let o = 625 - 622. Let z = 8 - 2. What is the smallest common multiple of o and z?
6
Let j(k) = 55*k - 66. What is the smallest common multiple of 9 and j(4)?
1386
What is the common denominator of -91/440 and (-3)/(-11)*(-713)/(-138)?
440
Suppose -9 + 3 = -3*r. Let h be (-8955)/234 + (-4)/r. Let c = h + 4475/156. Calculate the common denominator of 14/5 and c.
60
Let a(m) = 3*m**2 + 15*m - 24. Calculate the smallest common multiple of a(-7) and 54.
54
Let a(l) = -8 + l + 0 - 9 + 4. What is the lowest common multiple of 5 and a(18)?
5
Let q be 0 - (-2 + -2 + 2). Find the common denominator of ((-22)/4)/(56/20 - q) and -28/13.
104
Let x be (-30)/3 + 0/(-2). What is the common denominator of (-1 + (-168)/15)/((-16)/x) and -79/28?
56
Let h(t) = -t**3 - t**2 + 48. Let z be 0/(-3*(1 + 0)). Let k be h(z). What is the common denominator of -13*(-9)/k - -1 and -17/10?
80
Let n = 2/347 + -11471/3470. What is the common denominator of 60/550*5*(-6 + 1) and n?
110
Let j = -3439/715 + 94/65. Calculate the common denominator of j and 7/(-6)*(-81)/6.
44
Suppose 5*f + x + 430 = 0, 144 = -3*f + x - 114. Let y = f - -205/2. Find the common denominator of y and 1/4 - (-66)/(-20).
20
Suppose -2*k - 4*z + 28 = 0, -2*k - 2*z + 7 = -11. Suppose -k*y - 13 = -1. Calculate the common denominator of (-1)/y + (-62)/12 and -1/4.
12
What is the common denominator of 6/(-5) - 2694/(-1260) and 79/14?
210
Let c = -1211 + 1237. Calculate the least common multiple of c and 22.
286
Let j(c) = 73*c + 1. Let f be j(-3). What is the common denominator of 0/3 - f/24 and -79/18?
36
Let j be -1*(0 + (-32)/4). Let t = j + 2. Calculate the common denominator of -23/4 and t/15 + (-215)/12.
4
Let b(n) = n**2 - 2*n + 3. Suppose 3*r + 1 = -2*d, -4*r + 21 - 7 = -5*d. Let i = 4 - r. What is the lowest common multiple of b(i) and 1?
6
Calculate the common denominator of (102/8)/((-189)/42) and -23/7.
42
Let q(u) = -8*u**2 + 6 + 4*u**2 + 5*u**2. Let l be 0 + (1 - 1)*-1. Calculate the smallest common multiple of 2 and q(l).
6
What is the common denominator of 89/2 and 0 + -2 + -14*10/(-22)?
22
Let c = 21262250755/72 + -295320446. Let m = c + 11408. Let s = m + 1741/360. Calculate the common denominator of -6/7 and s.
70
Let x = -736/5 - -54379/370. Find the common denominator of x and -53/6.
222
Suppose -5*d - 47 = f, -d + 17 = -f - 0*f. Let k be (-6)/15 + f/(-5). What is the common denominator of 32/(-9) + k/18 and 73/6?
6
Suppose -2*l = -5*z + 3*l - 10, -18 = z - 5*l. Let p = 761 + -760. What is the lowest common multiple of p and z?
2
Suppose n + 7*n = 512. Calculate the smallest common multiple of 36 and n.
576
Let l(k) be the third derivative of k**4/12 + 10*k**3/3 + 13*k**2. What is the lowest common multiple of 14 and l(-6)?
56
Calculate the lowest common multiple of 12/(-18)*(-18)/6 and 423.
846
Let p = 1154 - 1046. Calculate the lowest common multiple of 18 and p.
108
Calculate the common denominator of -51/80 and 86/(-473) - 742/(-1056).
240
Suppose -5*u + 53 = -147. Find the common denominator of 3 + 1 - 4/288*116 and 1 + (-1)/(u/82).
180
Let s(i) = i**2 - 8*i + 12. Calculate the least common multiple of s(0) and 30.
60
Let o(j) = 5 + 2*j**2 + 3344*j**3 + 1 + 2 - 9. Let s be o(-1). Let z = -46831/14 - s. Calculate the common denominator of z and 29/8.
56
Let d = 25 + -23. Suppose 0 = 3*k - d*k - 38. Let n(b) = b**2 - 2*b - 2. Calculate the lowest common multiple of n(6) and k.
418
Suppose 4*o - 9*o = -25. Suppose 2*t - o*g - 31 = 27, -5*g - 82 = -3*t. Calculate the least common multiple of 30 and t.
120
Suppose 136*v - 380 = 131*v. Calculate the least common multiple of v and 20.
380
Let g = -12