82. Let s(x) = x**2 + 23*x - 18. What is the smallest common multiple of t and s(-24)?
6
Let y = 2/4373 - 245478/1290035. Find the common denominator of y and 37/413.
2065
Find the common denominator of 85/2 and 24/180 - 4/(-19560)*-1867.
326
Let i(m) = -521*m**3 + 2*m**2 + 3*m + 1. Let k be i(-1). Let b = 571 - k. What is the lowest common multiple of 40 and b?
200
Let n(i) = i**2 + 2*i + 17. Let j be n(0). Let c = 0 + j. What is the common denominator of (-556)/187 + (-2)/c and -149/6?
66
Let j = 85 - 81. Let t = 6 - -126. Calculate the least common multiple of t and j.
132
Let w = -10696 + 18306. Calculate the smallest common multiple of w and 14.
53270
Let g be -1 + (4 - 2844844/12). Let z = -931875/4 - g. Let f = 4104 - z. Find the common denominator of f and -127/6.
12
Calculate the common denominator of (3242635/73416)/29 - 9/6 and 10/33.
42504
Suppose -1266 - 3662 = -14*g. Suppose -19*a = -3*a - g. Calculate the smallest common multiple of a and 14.
154
Let u(m) = 11*m + 71. Let v = 453 - 459. What is the lowest common multiple of 1 and u(v)?
5
Let r(t) = 5*t**3 - 3*t**2 - 35*t + 165. Calculate the smallest common multiple of r(4) and 90.
2970
Suppose z + 5*r = -235, -4*r + 2*r - 244 = z. Find the common denominator of -7/11 and 4/((-280)/z) + -6.
77
Let x(k) = -14*k + 59. Let h be x(-26). Let o = 598 - h. Calculate the common denominator of 5/4 and (-4)/(-18) - o/(-45).
36
Let w = -4096507/174 - -23543. Calculate the common denominator of -70/261 and w.
522
Suppose -3*s = -2*b - 5, b + 1 + 4 = 4*s. Calculate the common denominator of (9/(-108)*2 - 68/48)*(-60 + 45) and ((-90)/7 - b)/(-3).
84
Suppose 5*q - 5383 = -3*v - 1266, q = v - 1359. What is the common denominator of 155/v*(-452)/50 and 23/30?
330
Let d = 1 + 0. Suppose -6*f + 9*f = 3*z - 81, f - 21 = -z. Suppose 0 = m - z + 15. What is the lowest common multiple of m and d?
9
Suppose 7*a = -15*a + 1364. Suppose -69*s = -a*s - 140. Calculate the smallest common multiple of s and 12.
60
Find the common denominator of 17/3 and 6/(-27) + (-19*2370/(-36))/5631.
11262
Suppose q = -5*f + 225, 6*q + 2*f - 954 = 2*q. What is the common denominator of (9/q)/(7/(-756)) and 3783/(-429)*1/(-4)?
220
What is the common denominator of 95/168 and (1*(-82)/696)/((-91)/26)?
4872
Let a(l) = -l**3 - 10*l**2 - 30*l - 17. Let w be a(-11). Suppose 0 = 10*h - 106 - w. What is the least common multiple of h and 14?
378
Let c(t) = 9*t**3 - 4*t**2 + 12*t - 3. What is the lowest common multiple of c(2) and 121?
847
Let f = -333376/265 - -6292/5. Let r be ((-7 + 2)/(-5))/((-1)/3). Let a = 47/2 + r. Calculate the common denominator of a and f.
106
What is the common denominator of -44/5525 and 299/102 - (-48)/12*(-1)/2?
33150
What is the least common multiple of 9 and (-46)/23*4/((-8)/2178)?
2178
Suppose 0*n - 6*n = 37482. Let p = n + 156126/25. What is the common denominator of 4/3 and p?
75
Suppose x = 2*i + 10, -4*x - 2*i = -3*x + 2. Let m be x/6 - ((-136)/12 - 3). Calculate the common denominator of 40/7 and ((-26)/m)/(-2 + (-4)/(-3)).
35
Suppose -85 + 97 + 2095 = 43*a. What is the least common multiple of 1561 and a?
10927
Suppose -2*u - 3*u = 3*x - 34, 0 = x + 5*u - 18. Calculate the common denominator of 7/(294/(-284))*(-4)/x and -88/21.
21
Let t be (-494)/(-3) - (-5)/15. Suppose -3*w + 44 = -b - 55, -5*w + t = -4*b. Suppose 165 = -9*g + 14*g. Calculate the smallest common multiple of w and g.
33
Calculate the lowest common multiple of (2/5)/(-23 - (-23477)/1020) and (-8)/(-32) + (-1582)/(-8).
792
Calculate the common denominator of 91/36 and (-1)/(-908)*(78 - (-35 - -16)).
8172
Let d(m) = m**3 + 23*m**2 + 39*m - 62. Calculate the lowest common multiple of d(-21) and 21.
21
Let v(n) = -40*n**3 + 16. Let s be v(-5). Find the common denominator of -19/36 and 140/(-1330) - (-4366)/s.
396
Let v = 131 + -135. Calculate the common denominator of -15/8 and -8*(v + (-28005)/(-6980)).
2792
Let s = -854663 - -205119437/240. Let p = s - -1/80. Find the common denominator of -80/21 and p.
21
Suppose -77*l - 111*l + 3795 = 599. What is the least common multiple of l and 493?
493
Suppose 5 + 0 = 5*m. Suppose 3*i = -2*i + o + m, 2*i = 4*o - 14. What is the least common multiple of 73 and i?
73
Suppose -4*c - 3*f + 6*f = -158, -c = f - 50. Calculate the lowest common multiple of 20 and c.
220
Find the common denominator of ((-1014)/52 - -21)*(-382)/6660 and -79/4.
2220
Let u(d) = -d**3 + 27*d**2 - 39*d + 35. What is the lowest common multiple of 50 and u(25)?
1550
Let d = -272 - -268. Find the common denominator of 1085/700 - 1/d and -55/12.
60
Let j = 119 + -114. Suppose -j*h - 4*q = -91, -7*q + 95 = 5*h - 2*q. Calculate the least common multiple of 30 and h.
30
Let k = 25441/180 + -1298/9. Calculate the common denominator of k and -11/100.
300
Let y(z) = -2*z**3 + z**2 - 7*z - 10. Let k be y(3). Let p = -42 - k. Calculate the lowest common multiple of 32 and p.
544
What is the common denominator of 13/1642 and (-4520)/(-240) + 1 + 2?
4926
Suppose -15*x + 69 = 31 - 82. Calculate the smallest common multiple of 640 and x.
640
Let f = -82 + 1294/15. What is the common denominator of f and -32/225?
225
Let i be ((-26)/(-39))/(0 - 4/(-18)). Suppose -c - i*l = -28, -5*c + c + 68 = l. Let x = -4 - -8. Calculate the smallest common multiple of c and x.
16
Suppose a + 3*j + 0*j - 20 = 0, 4*j = 4*a - 80. Let h(g) = -2*g + 1659*g**2 - 18*g - 1658*g**2 + 14. Calculate the smallest common multiple of h(0) and a.
140
What is the smallest common multiple of 1/2 - -3543*16/96 and 60?
11820
Let n = 4/1713 + 15281/58242. Let p = n + 250/51. What is the common denominator of -64/147 and p?
294
Let o(s) = 3*s**3 + s**2 - 3*s + 1. Let v be o(1). Suppose 0 = -v*m + 3*k + 39, -2*m - 3*k + 15 = 6. What is the smallest common multiple of m and 14?
84
Let d(x) = 3*x + 53. Let q be d(-16). Suppose 3*p = 3, 2*p = -3*n + 5*p + 15. Suppose q*y - 9 - n = 0. What is the least common multiple of 12 and y?
12
Let f(c) = 2*c**2 + 7*c + 2432. Calculate the least common multiple of f(0) and 28.
17024
Let h = 679 + -676. What is the lowest common multiple of (h*6/10)/((-138)/(-1840)) and 51?
408
Suppose 35 = -4*g - 5*x, 5*x + 14 = -g + 2*x. Suppose -43 = -5*c + 5*z - 23, -2*z + 10 = 0. Calculate the lowest common multiple of c and (3/g)/((-3)/45).
9
Let b = -3922952/35215 - -1/35215. Let n = -869/10 - b. What is the common denominator of 45/424 and n?
424
Let k(w) = 2*w**2 + 5*w + 2. Let l be k(-2). Suppose -9*j + 4*j - 10 = l. Calculate the lowest common multiple of (1 - (4 + j))*-1 and 12.
12
Let i = 40332215/12 - 3363425. Let j = i - -2404. What is the common denominator of j and -62/63?
252
Let w(i) = -2*i**2 - 44*i + 47. Let r be w(-23). Calculate the common denominator of ((232/384)/29)/(r/19) and 139/60.
240
Suppose 5*q - 308 = 1237. Suppose -11*n + q = -8*n. Suppose n = 5*d + a, 0 = -4*d - 5*a + 2*a + 89. What is the smallest common multiple of 4 and d?
20
Suppose 0 = 5*d - d - 2*r - 70, 4*d = 5*r + 67. Let b = 26 - d. Suppose -34*n + 30*n - 4*a = -124, -a - 89 = -3*n. What is the least common multiple of b and n?
120
Suppose -24*m = 1752 - 12792. Let t = m - 40481/88. What is the common denominator of -149/48 and t?
528
Let h = 19914/91 - 1536/7. Find the common denominator of h and -35/403.
2821
Let c be ((-10)/10)/((-1)/2). Suppose w - 29 = -4*v, w + 3*w - 172 = -c*v. What is the least common multiple of 55 and w?
495
Let f = 2383 - 2273. Calculate the least common multiple of (-2)/(-4) + (-33)/(-6) and f.
330
Let b be 48 + 2/(-2) + 1. Suppose 5*n + 15 + 213 = -y, 0 = 2*n - 2*y + 96. Find the common denominator of 67/44 and (n/10 - -5)/(b/(-1450)).
132
Suppose g + 5*i - 638 = 0, 3*g + 4*i = 844 + 1004. Calculate the smallest common multiple of 76 and g.
608
Suppose 0 = -2*k + 5*u + 210, -226*k + 222*k + 5*u = -410. What is the lowest common multiple of 64 and k?
1600
Let m(c) = c**3 + 17*c**2 - 482*c - 30. Calculate the smallest common multiple of 1870 and m(-32).
1870
Let i(p) = 3*p**3 - 7*p**2 + p + 5*p - 2*p**3 + 2. Let t = -54 - -68. Calculate the lowest common multiple of t and i(6).
14
Suppose -6*i = -4*b - i + 1159, 2*b = -2*i + 584. Calculate the common denominator of b/(-12) + (-4)/8*-4 and -71/40.
40
Let m be ((-11)/((-693)/(-6