- (-6)/16.
231
Let y = 98 + 201. Let u = 1855/6 - y. What is the common denominator of u and -49/20?
60
Let j be -19*(257708/(-6800))/(-11). Let z = j - -1606/25. Calculate the common denominator of z and -67/18.
612
Let d = 11 + -7. Suppose -9 = d*t + 11. Calculate the common denominator of 4/2 - (-28)/t and -2/9.
45
Suppose 0 = 3*r - 4*s + 28 - 122, -2*r - 4*s = -56. Suppose l + 3*l = -2*v + r, -l = -5*v - 24. Calculate the lowest common multiple of l and 3.
9
Suppose 2*x - 4*t - 42 = 0, 0 = t + t. What is the lowest common multiple of 27 and x?
189
Let a be (-7754)/(-30) - (-8)/2. Let k = -1555/6 + a. Find the common denominator of -21/4 and k.
20
What is the common denominator of -11/3 and 2 + 56/(-20) - (-2665)/300?
12
Let w be -1*(2 + (-3 - -1)). Let m(t) = 18 - 8*t**3 + 20*t**3 - 11*t**3 - 2*t**3. Calculate the smallest common multiple of m(w) and 8.
72
Let k be (-12 - -13)/((-2)/(-20)). What is the common denominator of 21/20 and (-2295)/1900 - 2/k?
380
Suppose 0 = 10*a - 35 - 145. What is the lowest common multiple of 4 and (1 + a/(-8))/(21/(-84))?
20
Let d(b) = 3*b - 18. Let q be d(8). Let y = 21 - 15. What is the smallest common multiple of (0 + 21/q)*(-54)/(-63) and y?
6
Suppose -4*p + 8 = 0, 2*g - 152*p = -155*p + 50. Calculate the least common multiple of 1956 and g.
21516
Let t(q) = 55*q**3 - 2*q**2 + 3*q - 2. What is the smallest common multiple of 18 and t(1)?
54
Let n = -11579/9 + 1288. Let u(m) = m**2 - 3*m. Let o be u(5). Find the common denominator of n and 36/o*(-45)/4.
18
Calculate the least common multiple of 1 and (1*150 - 0)/((-2)/(-1)).
75
Let h be 2*19*(-3)/6. Let a = 27 + h. Let l = -373 - -375. Calculate the lowest common multiple of a and l.
8
Let p be -22754 - (-4 + 2) - 0. Let h = 909969/40 + p. Find the common denominator of -53/4 and h.
40
Let k = -15 - -12. Find the common denominator of -65/22 and (390/(-72))/(k/2).
198
Let b(a) = a**2 + 8*a - 2. Let l be b(-6). Let x = l - -23. Calculate the least common multiple of x and 2*(1 + 14/4).
9
Suppose 2*m + 54 = 74. Suppose 2*n - 3*u - 47 = 0, -4*n + 5*u + 93 = -0*u. What is the least common multiple of n and m?
110
Let n = 31 + -28. Suppose -2*r + n*r = 22. What is the smallest common multiple of 26 and r?
286
Let j be 289/(-4) + (-11)/(-44). Let g(p) = 5*p - 2. Let h be g(2). Calculate the common denominator of -93/14 and ((-54)/h)/(j/(-66)).
112
Let j be -4 + 5 + -3 + 20. Calculate the common denominator of 10/3 and (2 + -1)/(j/(-78)).
3
Let r = -5964779249/20950 + 284715. Let j = r + -272471/2534950. Let x = j + -9109/1936. What is the common denominator of 79/20 and x?
80
Let c be 301/(-160) + 1/(-2). Let p = c - 55/32. Calculate the common denominator of 636/128*(14/3 - 6) and p.
40
Let w(g) = -g**3 + 8*g**2 + 4*g - 23. Calculate the least common multiple of w(8) and 16.
144
Let n(q) = 4*q**2 - 38*q + 79. What is the least common multiple of 144 and n(7)?
144
Let j = -84 + 84. Suppose j*x + 9*x = 198. What is the lowest common multiple of x and (-2)/(-6) - (-106)/6?
198
What is the smallest common multiple of 16 and (-6)/(55/15 - 4)?
144
Let c = -919 + 928. Let l(u) = -u**3 - 6*u**2 - 2*u - 9. What is the lowest common multiple of c and l(-6)?
9
Let d(s) = -s**3 + 8*s**2 + 10*s - 6. Let a be d(9). Suppose -a*y + t + 20 = -0*t, -3*y = 5*t - 8. Calculate the smallest common multiple of y and 6.
6
Suppose -4*a = t + 12, -5*a - 16 - 12 = -2*t. Let w be 3/9 + 40/6. Suppose 0 = r - 3 - w. What is the lowest common multiple of t and r?
20
Let x(h) = -h**3 + 2*h**2. Let m be x(2). Suppose m*t + 4*t = -16. Calculate the lowest common multiple of (-3)/3*1 - t and 11.
33
Let f(b) = b - 1. Let q(r) = r**3 + 8*r**2 + 9*r - 7. Let s(v) = 2*f(v) - q(v). Calculate the least common multiple of s(-7) and 4/32 - 79/(-8).
10
Let d be (-797)/((-30)/(-9) + -3). Let a = d - -23971/10. Calculate the common denominator of -54/5 and a.
10
Let s(t) = -t**3 + 8*t**2 + 15*t - 52. Let w(x) = 2*x**2 - 6*x - 5. Let m be w(8). Suppose 25 = -5*d + m. Calculate the smallest common multiple of s(9) and d.
10
Let f = 37006161/308 - 120150. Calculate the common denominator of f and 53/44.
308
Let m = -3030561/68 + 44568. What is the common denominator of m and 83/36?
612
Let w(m) = 3*m + 17. Let g be w(-13). Calculate the common denominator of (g/(-68))/((-6)/(-21) - 0) and 51/8.
136
Let n(v) = 1379*v**3 + 3*v**2 + 3*v + 4. Let h be n(-2). Let k = 132401/12 + h. What is the common denominator of k and -4 + 2 - (-41)/(-20)?
60
Let n = -7829 + 78401/10. What is the common denominator of n and 103/28?
140
Let f = -42 - -48. What is the least common multiple of f and 15?
30
Let o = 115 - 73. Let g = o + -39. Calculate the least common multiple of 7 and g.
21
Let w = 1274 + -16560/13. What is the common denominator of -71/21 and w?
273
Let w be 0 + (-203)/(-6) + -3. Let v = w + -992/33. Calculate the common denominator of v and 702/(-4)*2/42.
154
Let x be 4 + (-2)/(-2)*-2. Suppose -2*t + o = 25, 3*o - 34 - 15 = 4*t. Find the common denominator of ((-402)/27 + 0)/x and t.
9
Let b = 3593 - 14449/4. What is the common denominator of -45/2 and b?
4
Calculate the common denominator of (43/63 + (-10)/15)*-2 and -23/7.
63
Suppose 11*m - 13*m + 4*w = -14, 0 = -4*w - 12. Let h(k) = -k + 5. Calculate the smallest common multiple of m and h(-3).
8
Suppose -5*l - 6*m + m + 340 = 0, 0 = 3*l - 5*m - 220. What is the lowest common multiple of 10 and l?
70
Let a = -15 - -3. Find the common denominator of -21/20 and (-300)/(-112) - 3/a.
140
Let y = -931 - -937. Let a = 3 + -5. Let s(k) = k**2 + 2*k + 1. What is the smallest common multiple of s(a) and y?
6
Let s = 64862 - 37749797/582. What is the common denominator of s and 51/22?
6402
Let y(g) = -g**2 + 13*g + 7. Let f be y(7). Let l = 71 - f. Calculate the lowest common multiple of l and 18.
198
Calculate the common denominator of -14/87 and (-64)/(-96)*86/10.
435
Suppose 148 + 468 = 8*q. Calculate the least common multiple of 133 and q.
1463
Let f = 75 + -71. Suppose -u + 32 = 2*z, -u + 20 = z + f*z. What is the smallest common multiple of u and 8?
40
Suppose 4*n = 20, 0 = 4*b + 6*n - 3*n - 147. Let c = -22 - -40. Calculate the least common multiple of c and b.
198
Let s = -357162151/216 + 1653537. Let y = s - -65/108. Find the common denominator of y and 2*(-327)/(-120) + 0.
40
Suppose a - 122 = 3*a. Let d = a - -72. Calculate the smallest common multiple of 8 and d.
88
Let k(s) be the first derivative of s**4/4 - 2*s**3 - s**2/2 - 4*s - 6. Calculate the smallest common multiple of k(7) and 16.
304
Let y = 1655 + -29809/18. What is the common denominator of y and -31/90?
90
Let a(y) = -19*y + 2. What is the smallest common multiple of -108*((-22)/152 + (-62)/589) and a(-1)?
189
Suppose -37 = 2*h + 2*g - 105, 106 = 3*h + 2*g. Let r = h - 36. What is the smallest common multiple of r and 44?
44
Let z = 2/10605 - -129373/42420. What is the common denominator of z and 13/28?
140
Let k be 2*(-6)/4 + (-1 - -69). Let x = -55 + k. Calculate the least common multiple of 2 and x.
10
Suppose -1 = -k - 0*k. Let o(r) = r**3 + 16*r**2 + 18*r + 48. What is the least common multiple of k and o(-15)?
3
Find the common denominator of ((-3)/12*-1)/(3/(-118)) and 127/72.
72
What is the common denominator of (-7)/((-2632)/(-372)) + (5 - 5) and -13/3?
282
Suppose 4*m = 4*h - 0*m, -5*m - 9 = 4*h. Let n = 0 - h. Suppose 0 = 234*y - 867 - 1005. Calculate the least common multiple of y and n.
8
Let j = 105 + -100. What is the smallest common multiple of j and 94?
470
Suppose 88*i = 90*i + 248. Let t = i + 136. Calculate the least common multiple of 16 and t.
48
Let c be (-1)/(-2) - (-9)/6. Suppose -2*k + k + 4 = -t, -c*k - 3*t - 12 = 0. Find the common denominator of 43/18 and ((-73)/2)/(k + -11).
198
Let q(f) = f**3 + 9*f**2 + 6*f - 14. Let v(y) = -y**2 - 11*y + 10. Calculate the least common multiple of v(-11) and q(-8).
10
Let d(u) = -2*u**3 - 15*u**2 - 7*u + 9. Let h(g) = g + 15. Calculate the lowest common multiple of h(0) and d(-7).
45
Suppose 35*a = 19 + 16. What is the least common multiple of 60 and a?
60
Let j = 5272 + -47398/9. Let o = -9866/21 + 1394/3. Find the common denominator of j and o.
63
Let o(q) = -3*q - 5. Let y = -27 + 7. Let w = y + 15. What is the lowest c