38. Let f be 18/(-4)*(-40)/12. What is the lowest common multiple of p(f) and 8?
104
Calculate the common denominator of 216/(-27) - 57/(-20) and ((-250)/44)/(-5)*-1.
220
Calculate the common denominator of (-1*(-4)/(-2))/(36/(-58)) and ((-8)/30)/(4/14).
45
Let a(y) = y**2 - 6. Let q(s) = 3*s - 40. Let d be q(12). Calculate the lowest common multiple of 3 and a(d).
30
Let a = -129625/21 - -6171. Let y = 4380017/60 + -72998. Calculate the common denominator of y and a.
420
Let w = 4/2889 - -58735/5778. Let c = 413 - -17. What is the common denominator of (6/105)/(-6 + 2588/c) and w?
42
Let b = 68 - 68. Suppose 0 = i, b = m + i + i - 33. What is the least common multiple of 48 and m?
528
Let s be (-15039)/(2/18*-3). Let h = s - 1353697/30. Calculate the common denominator of 43/12 and h.
60
Let u(v) = v**3 - 14*v**2 + 36*v - 25. Calculate the least common multiple of u(11) and 72.
72
Let p(f) = -5*f - 2. Let v be p(-2). Let r = 6 - v. Find the common denominator of -18*(-2)/(-40) - r and 5/16.
80
Find the common denominator of 67/290 and (-699)/(-52) + 12/39.
580
Let g(v) = 4*v - 10. Let j be g(3). Suppose -b - 6 = -c, -j*c + 14 = -3*b - 0. Let y(d) = d**2 - 4*d - 4. Calculate the smallest common multiple of c and y(6).
8
Let d = 1/3006 - -48847/1503. Let s = 1380/17 - 7067/68. Find the common denominator of d and s.
4
Let n = -43872 - -3904652/89. Calculate the common denominator of 0 + 6/15 + 1722/(-330) and n.
979
Let x = 67 - 14. Let w = x - -40. Let m = w + -64. What is the lowest common multiple of 8 and m?
232
Suppose 3*m = -4*m - 196. Let x = -2 + 13. What is the lowest common multiple of x and (-7)/m + -2*15/(-8)?
44
Suppose -4*l = -5*l + 3, 3*l + 11 = 4*u. Calculate the least common multiple of 66 and 4/(60/357) - (-1)/u.
264
Let w = -15 + 5. Let z = w + 12. What is the smallest common multiple of z and 3?
6
Let r be ((-3)/2)/((-324)/365375278). Let f = r + -1691566. Let a = f + -107/27. Calculate the common denominator of 34/3 and a.
12
Suppose -2*k + 56 = -2*b, -2*b = 3*k + 19 + 57. Suppose -5*s = -2*y + y - 1, 9 = -3*s + 3*y. Calculate the lowest common multiple of (s + 5)*b/(-6) and 2.
32
Find the common denominator of (-22)/132*(200/6)/2 and 49/4.
36
Let k(f) = -f**3 + 6*f**2 + 27*f + 3. What is the lowest common multiple of k(9) and 744?
744
Find the common denominator of 1*93/(-6) + 4/16 and 0 + (85/(-14))/5.
28
Calculate the common denominator of -2*2*(-906)/432 and ((-215)/18)/(-5) + -2.
18
Let b(u) = 22*u**3 + u**2 + u. Let n be b(-1). What is the common denominator of (-82)/(-16)*(n/3 + 6) and -27/5?
30
Suppose 0 = -g + 3 - 1. Let a = 4 - g. Calculate the least common multiple of a and 7.
14
What is the least common multiple of 3 and 3 + 222/30 - 6/15?
30
Let x(j) = -j + 8. Let c(i) = -2*i + 12. Let w(o) = -5*c(o) + 7*x(o). Let r = 36 + -29. Calculate the smallest common multiple of w(5) and r.
77
What is the common denominator of (-1*3/27)/(40/(-906)) and -91/30?
60
Suppose 0 = 4*l + 4*y - 8, 9 - 3 = -3*y. Suppose 0*b = 2*g + 5*b - 16, -5*g - l*b = -40. What is the least common multiple of g and 9?
72
Let z(h) = -h**3 + 12*h**2 + 17*h - 8. Suppose 3*b + 4*l - 2 = 18, 0 = -3*b + l + 40. Calculate the smallest common multiple of z(13) and b.
132
Let a be (-4)/5 - (-44)/55. Suppose -z - 2*t + 14 = 0, 3*z + a*t - 34 = -2*t. What is the lowest common multiple of 3 and z?
30
Let l = 49 - 36. Suppose 4*d + 3*i - 41 = 0, 5*d - 2*i - l = 4*d. What is the lowest common multiple of d and 11?
11
Let c = 785 + -7012/9. Find the common denominator of c and -50/3.
9
Let o(f) = -f**3 - 14*f**2 - 41*f - 13. What is the lowest common multiple of o(-11) and 75?
75
Let f(s) = 40*s + 200. Calculate the lowest common multiple of 192 and f(-3).
960
Let c(q) = -4*q + 2*q - 8*q + q**2 - 9. Let i be c(11). Calculate the common denominator of (18/14)/(i/(-4)) and -99/4.
28
Let v(w) = w - 6. Let t be v(-7). Let x be (3 - 1)*((-4)/8 - 0). Find the common denominator of -47/32 and -2 - x/(-8)*t.
32
Let w = 17366786935 - 3473347785051/200. Let b = w - 48010. What is the common denominator of 22/7 and b?
1400
Let v = -57 - -33. Let m = -1379/408 + 1/204. Calculate the common denominator of -1 - (339/v + 3) and m.
8
Let w = -155 - -156. What is the lowest common multiple of w and 65?
65
Let w be 4*-1 - 60730/(-160). Let f = w - 374. What is the common denominator of f and -61/6?
48
Let a(c) = c**3 + 13*c**2 - c - 8. Let x be a(-13). Let u = 49 - 46. What is the smallest common multiple of x/(-20) - 90/(-8) and u?
33
Let f(h) = 2*h**2 - 1. Suppose -2*c - 2*c = q - 466, 0 = -3*q - 6. Let x = -115 + c. Calculate the lowest common multiple of f(-1) and x.
2
What is the common denominator of 3/154 and ((-1)/(-10) - 3)*(-85)/(-68)?
616
Let b = 13/460 - -27323/17940. Calculate the common denominator of b and ((-80)/2640)/(117/58 + -2).
858
Suppose 0 = -4*s - 201 + 69. Let u = s + 32. Let w(n) = -16*n. Calculate the lowest common multiple of 10 and w(u).
80
Let s = 388 + -386. What is the lowest common multiple of s and 50?
50
Let p be -1*4*42/8. Let f = p + 25. Suppose 0 = 4*b + f, 4*b - 4 = 5*g - 108. What is the smallest common multiple of g and 22?
220
Let o = -331327/145 - -2285. Let x be 1/(-580)*2224/12. Let j = o + x. Calculate the common denominator of j and 53/11.
33
Let d(y) = -13*y**2 + 13*y - 6. Let k be d(5). What is the common denominator of (-2)/3 - k/378 and 139/12?
108
Let v be (-5 - -3)/((-2)/2). Let b be v + -3 + 2 + 4. Suppose 2*w = 4*n - 3*w - 49, -4*n - b*w = 1. Calculate the lowest common multiple of n and 6.
6
Suppose 2*d + 3*d - 3*g - 54 = 0, 2*d - 3 = -5*g. Let c be 6/27 - 29/9. Let v = c + d. Calculate the lowest common multiple of v and 20.
60
Suppose -59*m + 32032 = 32*m. Calculate the lowest common multiple of 308 and m.
2464
Find the common denominator of -89/60 and 4 - (4780/1320 - (-10)/(-12)).
660
Let g(b) = -b**3 + 9*b**2 + 12*b - 12. Suppose v - 21 = -5. Calculate the smallest common multiple of g(10) and v.
16
Suppose 0 = -3*b + 12, -155 = -5*t - 2*b + 213. What is the lowest common multiple of 6 and t?
72
Let l(v) = 21*v - 55. Let x(j) be the third derivative of j**4/6 + j**3/3 + j**2. Calculate the least common multiple of x(4) and l(3).
72
Calculate the common denominator of 142/(-42) - (-4)/(-28) and 22/35.
105
Suppose -432*l + 220 = -422*l. Calculate the smallest common multiple of 88 and l.
88
Suppose -52*j + 768 = -46*j. Suppose j = 10*a - 2*a. Calculate the least common multiple of a and 92.
368
Let u(q) = -q**2 - 29*q + 82. Calculate the least common multiple of u(-14) and 14.
2044
Let k(o) = o**3 - 9*o**2 + 8*o + 10. Let s be k(8). Let f = -1931 + 15477/8. What is the common denominator of ((-7)/s)/((-2)/13) and f?
40
Let a(s) = 187*s - 163. Calculate the lowest common multiple of a(1) and 72.
72
Suppose 0 = -0*t - 5*t + 10. What is the common denominator of (t/3)/(12/666) and (-731)/(-170) + (-2)/1?
10
Suppose -5*s - 56 = -3*a, -s + 117 = 5*a + 5. Let b = 539 + -559. Let o = b + a. Calculate the smallest common multiple of 7 and o.
14
Suppose -174 = 5*m + 3*t, -4*t - 105 = 2*m - 27. Let a = -25 - m. Calculate the smallest common multiple of 6 and a.
24
Let u(x) = -6*x - 26. Calculate the smallest common multiple of 14 and u(-9).
28
Suppose -59 = -4*i + 3*h + 253, -h = -4*i + 312. Calculate the least common multiple of i and 2.
78
Let q be -1 + (3 - (-12)/4). Suppose -p = -j, 3*p = -2*j + 6*j - q. Calculate the lowest common multiple of p and 1.
5
Let h = -87015011/495 + 175788. What is the common denominator of h and 89/315?
3465
Suppose u + 4*n = 5*n + 93, 78 = u + 4*n. Calculate the least common multiple of 45 and u.
90
Let w = 294/29 + -5065/348. Let k be (3 + 8820/(-25))*2/(-3). Let c = k - 18691/80. Find the common denominator of c and w.
48
Let k(x) = -7*x - 17. Let z be k(7). Calculate the common denominator of (z/(-15))/((-120)/(-125)) and 95/4.
12
Suppose -4 = o - t - 19, o = -4*t + 20. Calculate the lowest common multiple of (1/(-3))/(7/((-504)/6)) and o.
16
Let m(t) = -t**3 - 9*t**2 + 9*t - 12. Let p = 4 - 14. Let y be m(p). Find the common denominator of -47/7 and (3/(-6) - y)*-18.
7
Let c be 1*(-6*1 - -4) - -3. Calculate the common denominator of (14/(-48))/(2/(-104)) and (-426)/288 - (c + (-6)/9).