01/16. What is the common denominator of x and 11/30?
240
Let p = -5/10461 + -19322/31383. What is the common denominator of 25/63 and p?
693
Let r = 34453 + -70397/2. Let n = r + 4585/6. Let d = n + -409/6. Find the common denominator of d and -113/10.
10
Let q(i) = 879*i. Let l be q(-2). Let h = 752 - l. Let u = -25061/10 + h. What is the common denominator of u and 11?
10
Let r(m) = -15*m**2 - 3. Let y be r(5). Let n be 159/y*(2 + 13). Let b = 43/6 + n. Calculate the common denominator of b and -17/5.
35
Let w be (-1)/((-3)/1326*2). Let x = -356 + w. Calculate the common denominator of -58/3 and (1130/x)/(8/6).
18
Let c = 453965/66 + -6878. Find the common denominator of 1/220 and c.
660
Let b = 24 + -22. Suppose 0 = -4*g - j + 54 - 17, 0 = -b*g + 2*j + 16. Calculate the smallest common multiple of g and 2.
18
Calculate the common denominator of 99/16 and 357/918 - (-2)/(-9).
48
Let o = 1230 + -1221. What is the lowest common multiple of o and 54?
54
Suppose 0 = -3*p - p. Suppose p*f = 3*f + 2037. Find the common denominator of 61/14 and f/(-56) - 2/(-4).
56
Suppose -j = -3*a + 71, -28 = -2*a - j + 21. Let z(l) = l**2 - 5*l - 16. Calculate the lowest common multiple of a and z(-3).
24
Let b = -21 + 42. Let q be ((-1)/262)/(b/14). Let n = -17701/6288 - q. Calculate the common denominator of 107/22 and n.
176
Let j(r) = r**2 - 12*r + 125. Calculate the smallest common multiple of j(19) and 12.
516
What is the common denominator of (-3)/(-2) + 28/48 and ((51/6)/((-5)/(-50)))/8?
24
Find the common denominator of 7/90 and 24/(-324)*96/11.
990
What is the common denominator of 94/(-24) - (3 - 2) and 20/27?
108
Let k(b) = b + 15. Let y be k(-7). Let u be 297/(-72) + 1/y. Calculate the lowest common multiple of 4 and -4 + (u - -7) + 5.
4
Suppose 6*f - 8*f - 48 = 0. What is the common denominator of 46/f*-10 - (-18 + 20) and (-1)/4*44/5?
30
Suppose -2*w + 3*o = 83, 0*w + w = -4*o - 14. Let p = w - -52. Calculate the lowest common multiple of p and 14.
126
Suppose 2*m - 3*r = -m + 39, 4*m - 17 = -3*r. Suppose -4*n + m = -8. Suppose n*u - u - 66 = 0. What is the least common multiple of 10 and u?
110
Suppose -3*h + 4*q - 20 = -129, -3*h - 5*q = -73. Let a = 72 - 72. Suppose -2*x + 73 + h = a. Calculate the smallest common multiple of x and 9.
468
Calculate the common denominator of 63/170 and 8 - (-6)/(210/(-565)).
1190
Let o(h) = -h**3 + 9*h**2 - 9*h + 207. What is the least common multiple of o(10) and 6/5*5/2?
51
Let d(u) = -u**3 - 10*u**2 + 3*u + 32. Suppose -p = -2*p + 18. What is the lowest common multiple of d(-10) and p?
18
Let b be 4/6 + 44/(-12). Let j(k) = -k**2 - 7*k - 3. Calculate the least common multiple of j(b) and 5.
45
Let t = -775 + 791. Calculate the smallest common multiple of t and 24.
48
Let n = -13 - -35. Let p = -1047 - -1123. Calculate the smallest common multiple of p and n.
836
Let n = -62029/6052 + -1/1513. Find the common denominator of n and 59/20.
20
Let u be (((-441)/(-6))/(-1))/(15/20). Calculate the common denominator of -11/8 and (-189)/u + 3 + -3.
56
What is the lowest common multiple of 78 and (-1 - (-15)/(-10))/((-3)/90)?
1950
Suppose 0 = -4*u + 4*r - 16, -3*u - r + 8 = -0*r. Find the common denominator of (-146)/(-219)*(-135)/(-8) and 1 + u + (-55)/(-16).
16
Let n be (2/(-344))/(3/(-20326)). Let l = n - -14/129. Calculate the common denominator of 43*(-38)/84 + (-8)/(-28) and l.
6
Suppose 5*y + 12 = n, -5*n + 60 = -0*n + 5*y. Calculate the common denominator of -73/24 and (-7)/n*(-904)/28.
24
Let n be 7*((-2)/7)/(-1). Suppose n*o + 27 = 5*o. Calculate the least common multiple of o and 4.
36
What is the common denominator of (63/(-700))/(-2 - (-285)/138) and 57/25?
50
Suppose -4*y - 128 = 12. What is the common denominator of (-63)/(-12)*y/42 and -33/14?
56
Let w = -28/5 - -32/5. Suppose -15 = 2*d + h + 14, -61 = 4*d + 5*h. Calculate the common denominator of (6/(-4))/(d/(-168)) and w.
5
Let r(q) = -q + 5. Let z be r(6). Find the common denominator of (1/z)/(18/(-140)) and -31.
9
Let d(f) = -3*f + 2. Let t(i) = -7*i + 5. Let w(a) = -9*d(a) + 4*t(a). Let y be 0/(-7)*(-3)/(-6). What is the smallest common multiple of 18 and w(y)?
18
Let w be (-19)/(-3) + (-9)/27. Let l = 17 - w. Find the common denominator of -39/8 and (-3 + (-14)/(-4))*l.
8
Let g = 20 + -12. What is the common denominator of ((-1)/(-2) - (-136)/(-238))*51 and (-6)/g*(-110)/6?
28
Suppose -5*n + 120 = -3*w, 7*n + 2*w = 4*n + 53. Let k = n + -24. What is the common denominator of k - (-132)/56 - 4 and 87/2?
14
Let w = -163636 + 3762122/23. Let t = w + 5977/138. Calculate the common denominator of -15/4 and t.
12
What is the smallest common multiple of 24 and -4 + 98 + -3 + 3 + 2?
96
Suppose -162 = -25*s + 19*s. What is the smallest common multiple of 12 and s?
108
Let x = 3999271711/321 - 74800615/6. Let h = -7979 - x. Calculate the common denominator of h and -43/4.
428
What is the lowest common multiple of 76 and 3090/27 - 80/180?
228
Let v = -30 + 30. Suppose v = -2*a + d + 22, 0*d = 3*a + d - 28. Let m = -4 + 16. Calculate the least common multiple of a and m.
60
Let f = 33 - -2. Let v = f - 22. What is the lowest common multiple of 2/10 + 39/5 and v?
104
Let d be 20/(-15)*(-30)/4. Calculate the common denominator of 71/8 and ((-1)/d)/(-4 - (-818)/215).
168
Let x(o) = 6*o + 13*o**2 + 0*o**2 - 5*o. Calculate the lowest common multiple of 4 and x(1).
28
Suppose 5*d - 2890 = -5*h, -4*d - 8*h + 7*h + 2324 = 0. What is the smallest common multiple of d and 21?
4074
Let c = 4957/30 - 3279/20. What is the common denominator of 35/54 and c?
540
Let d = 78 + -53. What is the smallest common multiple of d and 5?
25
Let r be (3/(9/(-38)))/(28/126). What is the smallest common multiple of 12 and (-3 + 0/(-2))/(r/95)?
60
Let v be (46/21)/((-8440)/23655). Let f = v + -3/844. Calculate the common denominator of f and -16/9.
63
Let r = -83 - -123. Let u = -1937 + 7797/4. What is the common denominator of u and ((-175)/r + 4)*680/(-18)?
12
Let b(h) = h**3 + 4*h**2 + 4*h + 3. Let z be b(-3). Calculate the common denominator of 1924/112 + (-20)/(-35) and z - (-3 + (-423)/(-30)).
20
Suppose 3*m + 96 = 4*v, -9 = -v + m - 4*m. Suppose 0 = v*j - 7*j - 28. Calculate the lowest common multiple of 6 and j.
6
Let r = -27/1414 - -12241/67165. What is the common denominator of r and 23/114?
570
Let l = -9 + 38. Calculate the common denominator of 11/10 and (28/(-16) - -2)*l.
20
Suppose 3*m - 21 = 3. Suppose x - 1 - 1 = 0. What is the lowest common multiple of m and x?
8
Let v = 60719/23 + -2641. Let m = 1/413 + 2418/413. What is the common denominator of m and v?
161
Suppose 3*h - 73 = -19. Suppose 0 = -17*u + 14*u + h. What is the least common multiple of 42 and u?
42
Let h(a) = 263*a**2 - 3. Let s be h(2). Suppose -6*p + s = 305. What is the smallest common multiple of 6 and p?
372
Let b = -811259/30 + 27038. What is the common denominator of b and 286/455*(-10)/12?
210
Let h be (-2)/(-8) - (-868)/(-16). Let s be (-45)/h + 2/12. Suppose 3*f = 35 + s. Calculate the least common multiple of 16 and f.
48
Let r(g) = -g**2 - 3*g + 1. Let w be r(-5). Let a(f) = -f**3 - 10*f**2 - 7*f + 20. What is the lowest common multiple of a(w) and 9?
18
Suppose 0 = -5*a + 4*c + 20, -4*a + 16 = 2*c + c. Suppose 3*o - 6 = s - a*s, s - 3 = 0. Calculate the smallest common multiple of 2/o + 48/2 and 10.
110
Calculate the lowest common multiple of 128 and ((-80)/(-6))/((-50)/(-60)).
128
Let w(q) be the third derivative of q**6/120 + 7*q**5/60 + q**4/12 - 2*q**3 + 21*q**2. Calculate the smallest common multiple of w(-6) and 50.
300
What is the common denominator of 81/152 and ((-15965)/(-900))/(-31) - 6/(-27)?
760
Let h(x) = -x**2 + 5*x - 7. Let g be h(3). Calculate the smallest common multiple of (g - -16)/(-5) - -5 and 16.
16
Let r = 313/141 + -24089/9306. Calculate the common denominator of -46/231 and r.
1386
Suppose -12*v + 3 = -11*v. Suppose 114 - 24 = v*x. Calculate the least common multiple of x and 6.
30
Suppose -12 - 10 = -l. What is the lowest common multiple of l and (2*8)/((-4)/(-4))?
176
Suppose 5*t - 6*t - 12 = 0. What is the common denominator of ((-2)/t)/(-1) + (-5)/(-15) and 53/7?
42
Let r(y) = y**2 - 4*y - 16. Calculate the smallest common multiple of 4 and r(9).
116
Let j