Let n be 1*-1 - (-12 + 9 - 0). Suppose 0 = 4*r - 12, 11*z + n*r + 54 = 16*z. Calculate the least common multiple of 16 and z.
48
Let s be (-1)/(-7)*(-64467)/6. Let c = s + 1541. Let k = 34590 - 1867939/54. Find the common denominator of k and c.
378
Let y(j) be the first derivative of j**4/4 - 32*j**3/3 - 5*j**2/2 + 178*j - 98. Calculate the lowest common multiple of 66 and y(32).
198
Let i = 18319/72 - 2057/8. Calculate the common denominator of i and 39/868.
7812
Let a(k) = -13*k**3 - k**2 - k - 1. Calculate the least common multiple of a(-1) and (46/(-16))/((-26)/1248).
276
Let o = 63582862/9769006869 - 12/1023683. What is the common denominator of 35/3 and o?
9543
What is the common denominator of ((-5)/(1450/8))/(3978/(-66300)) and 4/20 - 1234/(-180)?
522
Find the common denominator of (8/(-14))/((-12)/(-6)) - (-170910)/731808 and 67/88.
1936
Calculate the common denominator of 119/5720 and 292/24*-3*(-15)/75.
5720
Let k be 5/5*(-20 + 5). Calculate the lowest common multiple of 10*(-6)/36*54/k and 754.
2262
Let o = 33 + -55. Calculate the common denominator of (3/(-96))/(60/(-6600)) and (-72)/(-42)*o/32.
112
Let w = 167/234 + -4/39. Let z = 15863/9 - 7047/4. Let r = z - -22/9. Find the common denominator of w and r.
36
Suppose 0 = 3*a - 6*b + 8 - 158, a = -5*b + 43. Suppose 0 = -5*j + 3*r + 412, 5*j + 3*r + 27 = 415. Calculate the least common multiple of j and a.
240
Let l be 5368/(-183) + 8/(-3). Let h = 26990 - 1079683/40. Calculate the common denominator of h and ((-66)/l)/((-27)/42).
120
Let c = -12/919 + 16343/55140. What is the common denominator of c and 37/228?
1140
Let g(c) = -6*c - 73. Suppose 3*y = 4*d - 1 + 61, 0 = -5*y + 2*d + 86. Calculate the smallest common multiple of y and g(-13).
80
Suppose -2*r = 2*r - 360. Let b = -60437/10 + 6053. Find the common denominator of b and (-6)/30 - (-139)/r.
90
Suppose -2*f + 17 + 157 = 0. Let z = -91 + f. What is the lowest common multiple of 48 and z/(-14)*(-1 + 0)*-14?
48
Let a = 55 + -19. Suppose -3*q = k - 75, 3219*k - 3215*k - 2*q = 244. What is the smallest common multiple of k and a?
252
Let g be 30/20 + (-971219)/60. Let d = -16184 - g. What is the common denominator of -17/8 and d?
120
Let f(r) = r**3 + 3*r**2 - r + 834. Calculate the smallest common multiple of 834 and f(0).
834
Suppose 33*r = 36*r - 162. Suppose 24*a - 18*a - r = 0. Calculate the smallest common multiple of 34 and a.
306
Let x be (2 + -52)*147/(-98). Suppose 2*g + 29 = x. Calculate the least common multiple of g and 3.
69
Suppose 0 = 242*a + 67878 - 388770. Calculate the lowest common multiple of a and 816.
10608
Calculate the common denominator of -3*1 + 9/480*136 and -4 - (-3)/((-450)/(-561)).
100
Let d be 1 - 11/13 - 992/26. Find the common denominator of -52/9 and 142/(-249) + d/(-57).
747
Suppose 3*u = 12*u - 891. Suppose 4*x = -2*p - 154, 4*p = -p + x - 407. Let z = u + p. Calculate the least common multiple of 3 and z.
18
Suppose 4*w = 2*x + 2*w - 896, 2246 = 5*x - 2*w. Suppose 107*y - 102*y - x = 0. Calculate the lowest common multiple of 81 and y.
810
Suppose -38*x = -44*x + 72. What is the common denominator of (x/122)/(-2 + 72/34) and 117/10?
610
Let z = 1442479/137 - 10529. Let v = 43/4110 - z. Calculate the common denominator of v and (-33)/396*(-2)/3.
90
Let c = -306213/26920 - 1/13460. Find the common denominator of c and -37/499.
3992
What is the common denominator of -104/1815 and 6/363*-52*10/300?
1815
Let r = 4708 + -1598. Calculate the smallest common multiple of 11 and r.
34210
Let o = -28 + 38. Let w be 3 - (o/(-35) - (-26)/(-7)). Suppose w*u + 209 = -78. Find the common denominator of -50/3 and u.
3
Let r(h) = h**3 + 9*h**2 - 22*h + 42. Calculate the smallest common multiple of r(-6) and 7.
1974
Let t(q) = 22 - 5 - q + 20. Let p = -6926 - -6911. What is the smallest common multiple of 9 and t(p)?
468
Let j = 305 - 177. Let q be (3 + -6)/((-24)/j). Suppose -4*g - v + 40 = -4*v, -4*v = q. What is the smallest common multiple of g and 30?
210
Let v(n) be the second derivative of 11*n**4/6 - n**3/6 - 5*n**2/2 - 8*n + 3. What is the smallest common multiple of v(2) and 3?
81
What is the common denominator of 10/21 and -115*((-1154)/(-5193) + (1 - 41531/33975))?
15855
Let u = 279 + -282. Let n(c) = -2*c - 4. Let w(o) = -2*o - 4. Let z(y) = -3*n(y) + 4*w(y). Calculate the least common multiple of z(u) and 12.
12
Let l be (2*(-7 - -6))/(-1). Suppose -56 = -c - c. Suppose -2*a - l*w = -c, 3*a - 2*w = -0*a + 42. Calculate the least common multiple of a and 10.
70
Let t be (-3)/((-3)/4) + (-9 - -12). Suppose 0 = -5*w + 2*w - 2160. Calculate the lowest common multiple of w/(-126)*t/2 and 34.
340
Let a be (-9365)/(-220)*(-32)/(-1240). Let g = 1/682 + a. What is the common denominator of 23/12 and g?
60
Let f be (-3 - -2)/((-29)/4263). Find the common denominator of (f/35 + -10)/(-1) and 146/(-4) - (-4)/(-2).
10
Let l be (-8)/6*1*24/(-16). Suppose l*a + 5 = -3*q + 32, -5*a = 3*q - 90. Calculate the lowest common multiple of 63 and a.
63
Suppose a - 4620 = -9*a. Calculate the common denominator of 132/98*a/(-264) and -79/14.
14
Calculate the least common multiple of -1*(-3 - (-1 + 9 + -1)) and 860.
860
Suppose -3*r + 855 - 8672 = 2*t, 4*t - 2*r = -15674. Let x = t + 86125/22. Calculate the common denominator of (-6)/1*(-38)/64 and x.
176
Suppose 2*b - 5*i = 0, 0 = i - 2*i + 2. Let m(w) = w**2 - 3*w - 58. What is the lowest common multiple of b - (-1)/3*(-12)/(-4) and m(10)?
12
Suppose -u = -0*u - 18. Let z be ((-174)/(-5))/((363/110)/11). Suppose 9*b = z + 10. What is the smallest common multiple of b and u?
126
Suppose -3*f - f = -4*k + 100, -2*f = -6. Calculate the lowest common multiple of 1052 and k.
7364
Find the common denominator of -8 + (-205)/(-25) + 4/(-3820)*76 and 29/41.
7831
Let b(f) = -36*f**2 + 37*f**2 + 10*f + 9*f + 13*f + 108. Calculate the least common multiple of 18 and b(-30).
144
Find the common denominator of ((-2)/(-63)*-51)/(585/26 - 0) and 28/135.
945
Let l be (-50)/55*22/(-4). Suppose 4*k = 2*m - 0*m + 258, l*k + 3*m - 328 = 0. What is the smallest common multiple of 78 and k?
390
Suppose 146 = 3*w - 493. Let n = w + -197. What is the least common multiple of 20 and n?
80
Let a be 4 - -80 - 0 - 4 - 4. Let j = a - 21. Calculate the least common multiple of j and 20.
220
Suppose 5*b + 65 = 5*c, c + 3*c = -b - 23. Let u be (-210990)/(-12)*(-12)/(-75). Let x = u + -2825. What is the common denominator of x and b?
5
Suppose -x + 5*b = -21, 2*x + 2*b = 2 - 20. Let i(k) = k**2 - 3*k - 25. Let u be i(x). Suppose -4*y = -19 + u. What is the least common multiple of y and 7?
28
Let u = -2105/7 - -26191/84. Calculate the common denominator of 63/20 and u.
60
Let d = 4663 + -46577/10. Let c = -3497 + 489589/140. Calculate the common denominator of d and c.
140
Suppose 2*x = -x - 3. Let p be 40*((-76)/(-16) + -2 + x). Let t = p + -64. Calculate the least common multiple of 4 and t.
12
Let z = -82854003/611 - -135604. What is the common denominator of -51/235 and z?
3055
Suppose 0 = -2*n + 2*w + 454, -24*n - 1411 = -30*n - w. Calculate the lowest common multiple of n and 624.
1872
Suppose 0 = 38*g - 7263 - 10065. Calculate the lowest common multiple of 39 and g.
5928
Let c = 50 + -28. Let r = -7633 - -7687. What is the smallest common multiple of r and c?
594
Let y = 6639/2 + -3317. What is the common denominator of y and 27?
2
What is the common denominator of -157/4788 and (202/456)/((-226)/226)?
4788
Calculate the common denominator of 33264/(-729) + 14 + 32 and 1/4*(-6)/15.
270
Let w be (5/(-1))/(0 - 1). Suppose -w*k - 150 = -10*k. Let a(t) = t**3 - 72*t**2 - 226*t + 99. What is the smallest common multiple of a(75) and k?
120
Let z be ((-143)/2 - -4)*(-16)/12. Suppose -26 = 16*i - z. Calculate the lowest common multiple of 98 and i.
196
Let c = 293 - 155. Suppose k - 5*d - c = -k, 0 = -2*k + d + 130. Calculate the smallest common multiple of k and 48.
192
Find the common denominator of 131/13896 and 16/(-2) + 16117/(-1362).
13896
Let o be -1*((-1)/(-1) - 457). Let i be 2 - (o/(-16) - (-2)/(-4)). What is the least common multiple of 12 and 5/((-10)/(-6)) + 0 + i?
204
Let s be 1*(-21)/14*-26. Let t = 79 - s. Calculate the lowest common multiple of t and 56.
280
Suppose -4*z = -1394