
20
Let j = -97 - -239/3. Calculate the common denominator of j and 9/8.
24
Find the common denominator of -17/9 and (-66)/40 + (-2)/(-8).
45
Let h(p) = p**3 - 5*p**2 + 2*p - 8. Let c be h(6). Suppose -y + 4*z + 8 = 0, -4*y - 4*z + c = y. Calculate the smallest common multiple of y and 14.
56
Let n = -8/5289 + 93535/63468. Calculate the common denominator of n and -19/24.
72
Suppose -2*k + 3 = -5. Let y(p) = -p + 11. Let o be y(5). Calculate the common denominator of 83/10 and (-374)/(-84) - k/o.
70
Suppose 0 = -3*a - 0*a - 2*g - 10, 2*a - g + 9 = 0. Let o = a + 5. Suppose -2*n + 6 + 2 = 0, 0 = l + 2*n - 13. What is the least common multiple of o and l?
5
Suppose 0 = -5*b + 31 - 11. Suppose 12 = b*j + 5*y - 17, -2 = -2*y. What is the smallest common multiple of 2 and j?
6
Suppose 0 = b + 3*o, -5*o + 4*o = 5*b. Suppose 4*a - 27 - 53 = b. Let j = 5816/5 - 1172. Calculate the common denominator of a and j.
5
Let i = 4 + 4. What is the common denominator of ((-664)/12)/(i/(-6)) and -89/20?
20
Let y = 17/4 + 19/20. What is the common denominator of y and ((-5)/22)/(5/84)?
55
Let g be 8/12 + 2/(-3). Calculate the common denominator of 75/40*(-2 + g) and -68/3.
12
Suppose -4*q - y + 0*y - 1 = 0, 4*q + 5*y - 11 = 0. What is the common denominator of 71/3 and q/(-1) + 23/(-3)?
3
Let u = -18 + 17. Calculate the lowest common multiple of u/(-2) + 18/4 and 1.
5
Let a be (-1)/4 - 5/(-20). Let k be -2 + ((-87744)/(-43873) - a). Let c = k + 4080229/877460. Calculate the common denominator of -83/6 and c.
60
Suppose l - 3*l = -48. Calculate the least common multiple of l and 5.
120
Let m = 685 + -112343/164. Let v = -7295/164 + m. What is the common denominator of v and 1346/56 + 6/(-21)?
4
Suppose 0 = 4*j - 0 + 4. Let q be -1*(j - -2)*1. What is the common denominator of (q/(-6))/((-20)/258) and 7/10?
20
Let x be (-4)/(-14) - (-292)/7. Suppose -j + x = 2*j. What is the least common multiple of j and 10?
70
Let p = 63 - 32. What is the common denominator of -145/6 and p?
6
Let m be 8/(-32) - 9/(-4). Suppose -k = 5*i - 56, 2*k - 40 = -6*i + m*i. Calculate the least common multiple of 6 and i.
12
Let p = 7 + -2. Calculate the smallest common multiple of p and 9.
45
Let q be (2 + -1)/((-4)/(-20)). Suppose 0 = k - b - 6, q*b + 4 = -6. Calculate the lowest common multiple of k and 64/10 + (-2)/5.
12
Let h be -1 + 1 - 20634/14. Let s = h + 1479. Let z = -121 + 82. Find the common denominator of z and s.
7
Suppose -2*d - 3*k - 12 - 8 = 0, -3*d - 5*k - 29 = 0. Let y = -1 - d. Calculate the least common multiple of 10 and y.
60
Suppose 3*s - 2*w - 13 = 0, 0*s = -2*s - 4*w - 18. Calculate the smallest common multiple of s and 10.
10
Let q = -20168 + 241877/12. Find the common denominator of q and (-4)/26 - 2636/104.
12
Let d = -12 + 25. Let i be (0 - -3)/((-9)/(-60)). Let a = i - d. What is the lowest common multiple of 10 and a?
70
Let t = -23 - -35. Calculate the smallest common multiple of 6 and t.
12
Let i(l) = -4*l - 2. Calculate the lowest common multiple of i(-3) and 2.
10
Suppose y = -5*x - 48 + 2, -2*x + 3*y = 32. What is the smallest common multiple of 20 and ((-8)/x)/((-24)/(-540))?
180
Calculate the smallest common multiple of 14 + (2 - (-12)/(-9))*-3 and 40.
120
Suppose 0 = -6*z + 7 + 5. Calculate the smallest common multiple of 18 and z.
18
Suppose 5*q - 3*r - 65 = 0, -3*r = -r + 10. What is the lowest common multiple of 12 and q?
60
Let n be ((-40)/(-6))/(4/12). Let d be n*4/(16/489). Let s = d + -4797/2. Calculate the common denominator of s and 37/3.
6
Let r be 2/5 + (-78529)/(-40). Let l = r - 1955. What is the common denominator of l and (-5)/2*10/(-22)?
88
Let x = -20 - -29. Let b(f) = 4 - x*f - 1 - 4 + 0. What is the lowest common multiple of b(-1) and 4?
8
Find the common denominator of 27/10 and (-129)/(-4)*(-2)/15.
10
Suppose 0*y = 3*r - 2*y - 19, -r + 18 = -3*y. Suppose -7 = 2*l + r, 19 = 2*f - 3*l. Calculate the smallest common multiple of f and 13.
26
Suppose -3*n - 2*o + 4*o = -14, 2*n - 4*o - 12 = 0. Suppose -r + 2*r = n. Calculate the lowest common multiple of r and 7.
28
Let n(g) = -g**3 + 11*g**2 + 2*g - 10. Let a be n(11). Calculate the common denominator of 169/18 + a/(-6) and (65/(-24))/((-4)/6).
144
Suppose -l - 5*h = 60, -5*h + 37 = -3*l - 63. Let p be l/(-6)*(-114)/(-4). Find the common denominator of 2*2*p/(-16) and -27/10.
10
Let z(c) = -c**3 + 6*c**2 - 6*c + 6. What is the lowest common multiple of z(4) and 22?
154
Let u = -148 + 293. What is the smallest common multiple of u and 3?
435
Suppose -5*w + p - 24 = -3, -5*p - 5 = -3*w. Let h be 6/3 - 14*w. Suppose k = -2*l + 36, -3*k - h = -4*l - 4*k. What is the lowest common multiple of 14 and l?
126
Let h = -1400 - -22391/16. Suppose w + 3*u = -0*w + 10909, w + 4*u = 10914. Let j = 174227/16 - w. Calculate the common denominator of h and j.
16
Let d(f) = 2*f**2 - 2*f - 4. What is the smallest common multiple of 25 and d(4)?
100
Suppose -4*o = -0*o - 8. Calculate the least common multiple of 56 and o.
56
Suppose -2*i + 240 = -3*i. Calculate the common denominator of (6/i)/(2/(-268)) and 63/2.
20
Calculate the common denominator of 47/6 and 397/198 + 8/36.
66
Calculate the common denominator of 29/22 and (-13)/(78/(-225))*2/(-14).
154
Let s(f) = -8*f - 10. Calculate the lowest common multiple of 6 and s(-4).
66
Suppose 4*y - 2*y + 1998 = f, 5*f + 4980 = -5*y. Let r be y/4016 - 5/(-20). Let k = 71777/6024 + r. Find the common denominator of k and 29/22.
132
Let v be (2 - 1)*(5 - 2). Let c be 3/5 - (-333)/45. Find the common denominator of (-45)/(v/(3/c)) and 35/18.
72
Let m = -705310 + 28210447/40. Let d be 1 + (1 - (-226)/5). Let x = m + d. Calculate the common denominator of -67/12 and x.
24
Suppose 6*s - 16 = 2*s. Calculate the smallest common multiple of (2 - 3) + 10 + 1 and s.
20
Let h = 30/190189 + 4554836061/1901890. Let p = h - 2389. What is the common denominator of 97/20 and p?
20
Suppose u = -2*f + 70, 32 = 5*u + 12. Let i = -4514/9 - -500. Calculate the common denominator of 49/f - 12/18 and i.
99
Suppose 0 = m - 20 + 19. Calculate the least common multiple of m and 11.
11
Suppose 0 = -3*z + 932 + 4639. What is the common denominator of 111/10 and z/270 - (-2)/9?
10
Let a = -27 - -53. Find the common denominator of (a/(-10))/(4/(-70)) and 22/(-14) + (-7 + 2 - -1).
14
Let k(p) = 11*p - 9. Let x be k(7). Calculate the common denominator of (x/(-8))/((-18)/10) and 123/20.
180
Let z = 32 + -72. Let h = 150 + -94. Let g = z + h. Calculate the lowest common multiple of 14 and g.
112
Suppose 3*u - v - 1824 = -0*u, 0 = -4*v. Let x be u/1050 + (-16)/56. Let y = x - -3067/1050. Calculate the common denominator of y and 89/20.
140
Calculate the least common multiple of 54 and (4 - (-26)/(-6))/((-3)/54).
54
Let p be ((-200)/(-42))/(10/(-45)). Let f = p - -1679/63. What is the common denominator of f and -11/9?
9
Let p(j) = j**2 + 3*j + 3. Let d be p(-6). Let w = d - 11. Calculate the smallest common multiple of w and 6.
30
Calculate the lowest common multiple of (-11)/44 - (-41)/4 and 7.
70
Let o(h) = h**2 - 2*h - 4. What is the smallest common multiple of 7 and o(4)?
28
Let x = 689/102 - -211/17. Find the common denominator of x and 55/2.
6
Let n = 2/12927363 + -971013017039/129273630. Let g(b) = 3*b**3 + 25*b**2 - b - 5. Let m be g(-17). Let u = n - m. Find the common denominator of -15/14 and u.
70
Let h(r) = -2*r**2 - 9*r + 3. Let c be h(-7). Calculate the common denominator of 22/c - (-4)/2 and -151/6.
48
Let u be (-5 + 3)*9390 + -2. Let f = -107/448547 - -134835472647/7176752. Let o = f + u. What is the common denominator of o and 121/20?
80
Suppose j - 2 = 3*j. Suppose l + 5 = 5*t, -3*t - 1 = -t - l. Calculate the smallest common multiple of 10 and t - (1 - (-1 - j)).
10
Let v = 5 + -7. Calculate the common denominator of 85/(-42) + (-28)/(-42) and (v/42)/(4/438).
14
Let b = -10400977/6 + 1739335. Let j = 5751 - b. Let h = 359/4 + j. Calculate the common denominator of h and -99/8.
24
Suppose 3*i = 43 - 7. Suppose 4*n - 5 = 5*n, 0 = -4*x - 4*n - i. Suppose -19 = -x*y - 1. Calculate the smallest common multiple of y and 9.
9
What is the lowest common multiple of 6 and 5/2*14*4?
420
Let j be -127*(-129)/(-2712)*2. Let c = -1/678 + j. Find the common denominator of 125/12 an