j. What is the lowest common multiple of j and 1029?
1029
Let s = 333/8 - 157/4. Find the common denominator of 35/2 and s.
8
Let y be ((-72)/48)/(2/528). Let i = -7156 + 42841/6. Find the common denominator of i and (-8)/44 - 1201*3/y.
12
Let t = 867 - 849. What is the least common multiple of t and 24?
72
Calculate the smallest common multiple of 58 and -10*1*4/(-5).
232
Suppose 0 = -0*i + 5*i - 25. Let o be 2/i*1750/(-5). What is the common denominator of 272/o*(-15)/6 and 17/2?
14
Calculate the common denominator of (7*4/(-60))/(44/(-85)) and -25/18.
396
Let u = 88 + -81. Calculate the smallest common multiple of 67 and u.
469
Suppose -2*f - 161 = 3*i, 3*f - i + 377 = -2*f. Let b be 6/8 - 5871/f. Find the common denominator of 91/8 and 0 + (b/32 - 4).
16
Let z(l) = -l**2 - 13*l + 2. Let s be z(-12). What is the common denominator of (609/98)/((-4)/s) and -43/6?
12
Let n = -941/2028 - -8/169. Find the common denominator of (-65)/30*140/(-42) and n.
36
Let x(g) = 35*g - 184. Calculate the lowest common multiple of 108 and x(8).
864
Let a(m) = -120*m**2 + 3*m. Let z be a(15). Let i = z + 51969/2. Let w = -1005 - i. Calculate the common denominator of w and -47/8.
8
Let p(d) = -d - 2. Let s be p(-7). Find the common denominator of 3*(-15)/(-9) + 575/(-110) and 1 + 11*s/4.
44
Let c = -70981/20 - -3550. Find the common denominator of c and 22/(-10) + -1 + 12/16.
20
Let w = 103 + -93. What is the smallest common multiple of -7*(0 - 2)*1 and w?
70
Calculate the common denominator of (57/21)/((-160)/35 - 4) and 13/105.
420
Let f be (-864)/(-39) - 4/26. Suppose -v - 10 = j, -5*j = -2*v - 2*j - 20. Find the common denominator of (-25)/14*f/v and -91/20.
140
Let j(m) = m - 10. Let h = -4 + 5. What is the smallest common multiple of 2*(-5 - h)/(-3) and j(17)?
28
Suppose 685*d = 681*d + 24. Let x = -3 - 1. Calculate the lowest common multiple of 7 and x + (d/(-2) - -18).
77
Let l(j) = 122*j**3 - 3*j**2 + j + 1. What is the smallest common multiple of 77 and l(1)?
847
Suppose 3*f + 3*r - 3 = 0, 0 = -3*f + 3*r - 2*r + 23. Let t(w) = -2*w**3 + 13*w**2 - 3*w - 2. What is the smallest common multiple of t(f) and 218?
1744
Let u = -428023/110 - -3891. Find the common denominator of u and -11/200.
2200
Let q(x) = -38*x**3 - x**2 + x + 1. Let f be q(-1). What is the common denominator of 2 - 2*f/(-28) and ((-86)/(-16))/(11/(11/8) - 6)?
112
Suppose 0 = -y + 1 - 6, 0 = 4*x + 3*y + 23. Suppose -2 - 3 = -s. What is the smallest common multiple of s and x/4 + 23/2?
55
Let g(t) = -t**2 + 4*t. Let x be g(3). Let c = 23/30 - 1/60. Calculate the common denominator of (x/(-16))/((-2)/(-136)) and c.
4
Let g = -128813/405 + -854/81. Let c = 274504 + -2741811/10. Let t = c + g. What is the common denominator of t and 95/6?
30
What is the common denominator of -107/30 and (-3)/40*1140/216?
240
Let f be (-5 - -1) + (-78610)/26264. Let b = -21/268 + f. What is the common denominator of b and (-274)/(-24) + 4/(-8)?
84
Find the common denominator of -3 + (-2313)/1254 + (3 - -2) and -41/4.
836
Suppose -5*n - 12 = -4*r, 264*n = 265*n - 4. Suppose -24 = -p - 0*k - 4*k, 5*k = 3*p - 123. Calculate the least common multiple of r and p.
72
Suppose 7*x = 2*p + 4*x - 29, -4*x - 12 = -p. Calculate the lowest common multiple of 110 and p.
880
Let y(n) = -n**2 - 9*n - 18. What is the least common multiple of 1 and y(-4)?
2
Calculate the common denominator of -62/5 and (6/4)/(6 + (-186)/36).
5
What is the lowest common multiple of (6 + (-324)/45)*10/(-3) and 23?
92
Let n(b) = 4*b - 3. Let v be n(4). Let i(f) = -f**3 + 2*f**2 + 5*f + 1. Let g be i(4). Let u = g + v. Calculate the least common multiple of u and 18.
18
Suppose -7*o + 103 = -9. Suppose 0*v - o = -2*u + 5*v, -9 = -5*u - 3*v. What is the least common multiple of (-136)/(-14) + (-4)/(-14) and u?
30
Suppose -2*s - 6*s = -101392. Let u = s + -418274/33. Find the common denominator of u and -95/4.
132
Suppose 0 = -6*a + 319 - 127. Suppose -2*p = -0*p - a. What is the least common multiple of 22 and p?
176
Let u = 2 + 3. Suppose -34 = 3*w - 5*s, -2*w = w + u*s + 74. What is the common denominator of -1*(-249)/w*3 and 51/8?
8
Let t = 1547 - 1071. Calculate the least common multiple of t and 14.
476
Let n = -35/132 + 491/220. Find the common denominator of n and -113/48.
240
Suppose 56*v + 80 = 60*v. What is the least common multiple of v and 72?
360
Let l(a) = -2*a**2 + 66*a + 3. What is the lowest common multiple of 140 and l(33)?
420
Let l(u) = u**2 + 12*u - 3. What is the least common multiple of l(-13) and 34/8 + -1 - 7/28?
30
Let x = 431792/67005 - -2/7445. Suppose v + 23 = -5*j - 4, 2*v + 2*j + 30 = 0. Find the common denominator of (-25)/v*72/(-27) and x.
9
Suppose -3*m = m - 8, 0 = -5*x + m - 102. Let h = x - -25. Suppose -5*i + 12 + h = 2*u, 2*i = 5*u + 30. Calculate the smallest common multiple of 4 and i.
20
Let s be -244 + -2 - (0 - 0). Let g = 5409/22 + s. Calculate the common denominator of ((-45)/(-24))/((-144)/(-264)) and g.
176
Suppose 2*q + 4 = 2*v, 2 = -2*v - 3*q - q. Suppose 106 = 5*c - t, 11 = 3*t - v. What is the least common multiple of (-1 - 3)/(2/(-8)) and c?
176
Let a(z) = -z**2 + 8*z - 1. Let k be a(8). Calculate the common denominator of ((-12)/36)/(k/(-57)) and -14/25.
25
Let l be ((-5)/(-110))/(2/2208). Let f = l - 1063/22. What is the common denominator of f and -37/16?
176
Suppose 0 = 4*u - y + 5, 2*u + 2*y - 3 = 7. Suppose -2*p + 9 + 31 = u. Suppose 0 = -5*l + 107 + 113. Calculate the lowest common multiple of l and p.
220
Let a = 1219 + -1198. Suppose -x + 35 = 2*w - 0*w, -x + 5*w = -7. What is the least common multiple of a and x?
189
Suppose -5 = 2*q - 1. Calculate the common denominator of 10/100*-8 - (-82)/40 and q.
4
Let p = -712352545/84937216 - 1/4666880. Let x = p + -6/455. Find the common denominator of x and -41/4.
20
Let v = 508225/24 - 21180. Let z = 84391/12 + -7028. Find the common denominator of z and v.
24
Let s = -4331 - -86597/20. Calculate the common denominator of s and -113/78.
780
Let l(r) = r + 2. Let b be l(6). Suppose -3*d - d = -b. Suppose -d*k + 22 = -k. What is the smallest common multiple of k and 6?
66
Let v(j) = -j**3 + 6*j**2 - 2*j + 9. Let u = 3 + 3. Let o be v(u). What is the common denominator of 11/10 and o + 5 + 1/15?
30
Let s = 3059/32 + -191/2. Calculate the common denominator of s and -5/56.
224
Suppose 0 = -s + 2, -5*s - 27 = -5*x - 6*s. Calculate the smallest common multiple of 234 and x.
1170
What is the common denominator of (11/(-396))/((-4)/(-798)) and ((1 - -5)/6)/(9/53)?
72
Let m(n) = n**3 + 33*n**2 + 31*n - 2. Suppose 0 = 10*z - 6*z - 108. Calculate the smallest common multiple of z and m(-32).
270
Let f(n) = -33*n - 114. Let v(r) = 3*r - 2. What is the smallest common multiple of f(-4) and v(4)?
90
Let t = 9626 + -23911. Let z = t + 285623/20. Calculate the common denominator of z and 63/22.
220
Let r = 659/10 + -292/5. Suppose -16 = q + 3*q. Calculate the common denominator of q/(-14) + (-310)/105 and r.
6
Let k be 3 - (-16)/((-4)/(-2)). Let o = -19 + k. Calculate the least common multiple of o/32 + 89/4 and 2.
22
Let a = 3 + -19. Let l = -35187/10 + 3512. What is the common denominator of l and (78/165)/(a/(-20))?
110
Let c(f) = f**3 - 36*f**2 + 3*f + 20. Let n be c(36). What is the common denominator of 94/(-48)*2/3 and ((-24)/n)/(12/260)?
144
Suppose 0 = 7*k + 121 + 418. Let i = k - -50. Calculate the smallest common multiple of i*(2 - 4)/6 and 2.
18
Let a = 31097/14 + -2220. Find the common denominator of a and 0 - (3 - (-438)/(-80)).
280
Let u(a) = -8*a - 9. Suppose 3*b = -4*d - 25, -5*b + 0*d = -3*d + 3. Calculate the least common multiple of u(b) and 6.
30
Suppose 0 = -5*u - 3*c + 63, 40*u - 38*u - 22 = 2*c. Calculate the smallest common multiple of 18 and u.
36
Let a = -345783/20 + 17284. Let w = -1570460147/34 + 46197888. Let o = w + -7885. Find the common denominator of o and a.
340
Calculate the common denominator of (-1)/(-48)*757 + -13 and (-14)/80*52/3.
240
Let o = 142365 - 25056175/176. What is the common denominator of -133/144 and o?
1584
Suppose 5*q - 5*t + 21 = 9*q, 0 = -4*q + 4*t + 12. What is the smallest common multiple of (1 - -38)/1 - -1 and q?
40
Suppose 12*h = 15*h + 9237. Let r = -12401/4 - h. What is the common denominat