t t = 5931/56 - 805/8. Find the common denominator of 14 and t.
7
Let g(j) = j**3 - 15*j**2 + 18*j - 5. Calculate the smallest common multiple of g(14) and 8.
408
Let x(n) = -n**2 - 17*n - 6. Let o be x(-10). Calculate the common denominator of (-14)/(-3)*(-156)/o and 7/20.
40
Let w = 33 + -54. Let f = w - -35. What is the least common multiple of f and 20?
140
Suppose 0 = -t + 4*t - 99. Suppose t + 3 = 2*s. Let o = -36 + 54. Calculate the least common multiple of o and s.
18
Let u(y) = y - 7. Let a be u(10). Suppose 0 = 4*m - x + 59, 0 = x - a. Let q = m - -22. What is the smallest common multiple of 10 and q?
40
Suppose -4*w + 6 = -14. What is the smallest common multiple of w and 1?
5
Let f(v) = -v**2 + 11*v - 8. Suppose -5*n - 34 = -a, -3*a + 2*n = -3*n - 52. What is the smallest common multiple of f(a) and 10?
10
Suppose -40 = 5*f + 4*t, -4*t = 3*f + 24 + 8. Let b(u) = 11*u**2 - 2*u - 1. Calculate the smallest common multiple of 3/(-4) + (-43)/f and b(-1).
60
Suppose 0 = -u - 2*u - 45. Let q = u + 0. Let t = -3 - q. What is the lowest common multiple of 5 and t?
60
Let d(t) = t + 9. Let r(q) = 3*q + 3. Let c be r(4). Suppose -4*i + c = i. What is the lowest common multiple of d(-7) and i?
6
Let g = 4016/3 + -1355. What is the common denominator of g and 107/6?
6
Let a(x) = -x**2 + 6*x - 4. Let c = -6 + -22. Calculate the least common multiple of ((-105)/c)/((-3)/(-8)) and a(5).
10
Let t = -223/154 + -32/11. What is the common denominator of 61/10 and t?
70
Let t = -16399/8040 - 2/1005. Calculate the common denominator of t and 4 + 206/(-24) - -4.
24
Suppose -11*v - 40 = -15*v. Let k = -3 + 15. What is the least common multiple of v and k?
60
Let h be (-3)/(-2 - 58/(-32)). Let s = -272/3 + 93. Calculate the common denominator of ((-22)/(-3))/(h/30) and s.
12
Let j be (-10)/35 - 58/(-7). Suppose 0 = 5*t - 5*l - 5, 0 = 4*t + 2*l - j - 8. What is the least common multiple of t and (4/6)/((-4)/(-42))?
21
Let v = 16/15 + -23/45. What is the common denominator of 37/2 and v?
18
Let v be ((-4)/(-2))/(1275604/2638225). Let a = -2/28991 + v. What is the common denominator of a and 103/10?
110
Calculate the common denominator of -1 + (4 - 225/(-24)) and -71/6.
24
What is the common denominator of (-5)/(-90)*(-231)/3 and -37/20?
180
Let p = 2 + -3. Let o be 2 + p/((-2)/4). Calculate the smallest common multiple of 8 and 19/o + (-12)/16.
8
Let p be (4/112)/(188/43135). Let s = p + 15/752. What is the common denominator of s and 53/20?
140
Let a be -485*(0 + (-4)/5). Find the common denominator of ((-8)/32)/((-18)/a) and 113/12.
36
Suppose -3*p = 4*r + 5 - 37, 5*r = 3*p + 67. Suppose 0*w - 140 = -4*w. Let n = w + -24. Calculate the lowest common multiple of r and n.
11
Suppose -5*r + 3*r + 5*o = 0, -2*o = -2*r - 12. Let s = -6 - r. Calculate the smallest common multiple of s and 8.
8
Suppose 3*z - 2*m = 20, -z + 42 - 7 = 5*m. Calculate the smallest common multiple of z/(-3)*(-15)/10 and 11.
55
Suppose -m - 3*m = -24. Calculate the least common multiple of m and (8/(-10))/((-4)/70).
42
What is the common denominator of (-4)/(-10) + 1227/(-180) and -101/6?
12
Let d(x) = x**3 + 6*x**2 - 9*x - 9. Let w be d(-7). Let m(a) = -a**3 + 5*a**2 - 3*a. Let s be m(w). Find the common denominator of 1162/(-60) - 3/s and 75/22.
66
Calculate the common denominator of 11 and (-1 - -4 - 1) + 43/8.
8
Let o = 24 + -8. Calculate the lowest common multiple of 26 and o.
208
Let g = 66 - 525/8. Let c be ((-14)/(-4))/((-3)/(-78)). Let h = 367/4 - c. Find the common denominator of g and h.
8
Let a = 1827879 + -31095614/17. Let i = 46021/136 + a. Let b = -943 - i. Find the common denominator of -71/4 and b.
8
Let l = 9 + -2. Calculate the lowest common multiple of 31 and l.
217
Suppose -2*f + 94 = 5*m, -m + 20 = 2*f - f. Let l = 10 - 4. What is the lowest common multiple of l and m?
18
Suppose -c = 80 - 90. What is the lowest common multiple of 36 and c?
180
Let i = 1/820 - -389/410. Let k = 27961/6 - 4675. Calculate the common denominator of i and k.
60
Let h(v) = 1 - v**2 + v - v**3 - v**3 + v**3. What is the least common multiple of h(-3) and 16?
16
Let z(u) = 3*u - 2. Let h be (-1)/3 - 30/(-9). Suppose -12 = -0*p - h*p. Calculate the least common multiple of z(p) and 16.
80
Let o = 4800 + -43144/9. Calculate the common denominator of (76/(-20))/(4/(-25)) and o.
36
Let x(w) = 2*w - 1. Suppose 4*n + c = 2*c + 29, 9 = -n - 3*c. Calculate the lowest common multiple of 11 and x(n).
11
Suppose k - 4 = -z, -z - z - 4 = -4*k. Suppose 4*l - 2 = 5*l, -14 = -y + 4*l. What is the lowest common multiple of y and k?
6
Suppose 0 = 2*x + 4*t - 16, -5*t + 2 = -x - 11. What is the least common multiple of x and 3 + 0*2/4?
6
Let i = -299/171 - 5/171. Find the common denominator of (6/(-2) - 0) + -26 and i.
9
Let n = 283637/18 + -15753. Find the common denominator of (-242)/(-24) + 1/2 and n.
36
Let y be 2/(-15)*6/(-2596). Let a = y - 34398/3245. Find the common denominator of a and (2/24)/((-2)/332).
30
Let v(t) = t - 11. What is the lowest common multiple of 10 and v(13)?
10
Let u(j) = -j**2 - 8*j - 8. Suppose 3*z - 4*z = 0. Suppose z = -4*o - 1 - 19, 3*n - 28 = -o. What is the least common multiple of u(-6) and n?
44
Let c(k) = k**3 - 7*k**2 - 6*k - 10. Suppose 5 = g + 1. Calculate the least common multiple of g and c(8).
12
Let l = 5450/7 - 1571/2. What is the common denominator of l and (2/28)/(4/((-912)/(-12)))?
14
Let a = 0 - -2. Suppose -a*b + 15 = b. Suppose -5*l + 1 = -b*u + 51, 4*u - l - 43 = 0. What is the least common multiple of u and 2?
22
Suppose 0 = -2*l + 6*l + 5192. Let t = l + 670. Let c = 2497/4 + t. Find the common denominator of c and -1/9.
36
Let m = -366 + 246. What is the common denominator of -83/8 and 3 - 4/m*-106?
120
Find the common denominator of (-6)/(24/(-95)) + 1 + -1 and -111/14.
28
Let x be -1 - ((-484534)/(-44) - 2). Let q = -11007 - x. Calculate the common denominator of q and 15/16.
176
Find the common denominator of -13/24 and ((-280)/45)/7*(25 + -1).
24
Let l = 15 + -15. Calculate the least common multiple of (0 - (-3 + -19)) + l and 2.
22
Let q(f) = f**3 - f**2 - f - 1. Let v be q(2). Let u = v - -1. Calculate the common denominator of u/(-6) - 35/45 and 17/11.
99
Let b = 1/791 + 2937/791. Calculate the common denominator of -56/85 and b.
595
Suppose -25 = b + 3*b - 5*i, -10 = -5*b - 2*i. Suppose 0 = -5*k - b*k - 550. What is the common denominator of 31/11 and -2 + (k/6 - 3)?
33
What is the least common multiple of (-132)/(-9) - 2*(-2)/12 and 30?
30
Let c be (-1078)/(-3) - 6/(-9). Calculate the common denominator of 2511/c + (-2)/(-5) and 43/14.
56
Let p = -3 + 5. Suppose 8 = 2*g + p. Let v = 5 - g. Calculate the smallest common multiple of v and 11.
22
Suppose -5*o + 0*o = -15. Find the common denominator of 14/15 and ((-2)/(-36))/(o/192).
45
Let r = 38 - 163/4. What is the common denominator of -23/8 and r?
8
Let x(w) = -9*w**3 - 3*w**2 - 2*w. What is the least common multiple of x(-1) and 8?
8
Suppose -2*v = 4*w + 4, -v - 3*v + 12 = -2*w. Let n = -3 + v. What is the lowest common multiple of n/3 - (-220)/12 and 8?
72
Let s(p) = -3*p - 3. Let m be s(-2). What is the least common multiple of (-18)/(-27) - (-25)/m and 1?
9
Let a(t) = t**2 - 8*t - 12. Let j be a(9). Calculate the lowest common multiple of j/(-9) - 23/(-3) and 12.
24
Suppose -7*v = -22 - 20. What is the least common multiple of v and 15?
30
Let a be 694*(-29)/(-2) + -1. Let c = -100517/10 + a. Find the common denominator of c and -97/20.
20
Suppose 2201 = 3*p - 700. Let s = 2971/3 - p. Let z = -26661/10 + 2677. What is the common denominator of z and s?
30
Let i = 170/333 - -14/37. Find the common denominator of i and -62/3.
9
Let t be 6 + -2 + (-6)/2. Suppose -5*v - 4*b + 55 = 0, 4*b - t = 3*v - 2. What is the lowest common multiple of v and 4?
28
Let q = 6 + 4. Let f = -6 + q. What is the least common multiple of f and 3?
12
Let f = 77 - 74. What is the lowest common multiple of 13 and f?
39
Let h = 263881/12 + -21978. Find the common denominator of -61/4 and h.
12
Let n = 1 - 1. Suppose -3*h + 5*b + 65 = 0, n*h - 4*b - 84 = -4*h. What is the lowest common multiple of 6 and h?
60
Let l = 1276 + -11530/9. Find the common denominator of 23/30 and l.
90
Let f(d) = -d**3 - d**2 - d + 