- 10748. Let v = r - 34/3. Find the common denominator of -61/5 and v.
10
Let c be 12230/(-154)*1/(-17). Let f = 15/119 - c. What is the common denominator of 10/8 - (-3)/12 and f?
22
Let p be 2*((-1)/2 - -2). Suppose -9 = -4*i + p. What is the least common multiple of i and -1*20/(1 + -3)?
30
Suppose 4*d - 793 - 10535 = 0. Let n = d + -19878/7. What is the common denominator of n and 11/10?
70
Suppose 0 = 5*t - 14 - 11. Suppose t*x - 28 = 27. What is the least common multiple of x and 8?
88
Calculate the common denominator of 10/36 - (4 - 0) and -51/44.
396
Suppose 0 = -3*w + w + 10. Suppose w*j = 7*j - 6. Calculate the smallest common multiple of j and 7.
21
Let v = -3185/6 - -535. Let s = -84919/7176 + 1/2392. Calculate the common denominator of s and v.
6
Let o(b) = -7*b**2 + b. Find the common denominator of o(-2) and -41/3.
3
Suppose -3*k - 4*r - 31 = -11, -4*k - 56 = -2*r. Let i = 21 + k. Suppose 3*n - x = 8 + 6, 0 = 5*n - x - 22. What is the least common multiple of n and i?
36
Suppose -2*t - 2*t + 88 = 0. Suppose 0 = -3*k + 2*k + t. Calculate the common denominator of (-51)/k - (-2)/(-4) and -39/4.
44
Find the common denominator of 38/3 and 999/(-6)*6/90.
30
Let w be (-17409)/4554 + 0 - -3. Let z = -16/69 - w. What is the common denominator of -113/18 and z?
198
Suppose 12*p - 28 = 140. Calculate the lowest common multiple of -2*13/(-2) + -1 and p.
84
Suppose -5*u = 2 - 17. Suppose u*z - 2*p - 1 = 1, p = -4*z - 1. What is the common denominator of (88/18)/(-4) - z and 19/7?
63
Let b = 2239771/88998 - -2/14833. Calculate the common denominator of b and 4*((-12)/(-5) - (-2)/(-4)).
30
Let z = 10 - 5. Let t = 6 + 3. What is the smallest common multiple of z and t?
45
Let c(u) = 23*u**2 - 1. Let d be (0 - -1)*(-9 + 2). Let t(o) = -o**2 - 8*o - 1. Calculate the lowest common multiple of t(d) and c(-1).
66
Let c = 32 - 19. Let o = -3 + c. What is the smallest common multiple of o and 10?
10
Suppose -2*w + 15 = -5*s, 3 + 2 = 5*s. Find the common denominator of 5/3 and ((-13)/2)/((-4)/w).
12
Let x = -992683520/8165914281 - -2/9484221. Let r = -2267093/227304 - x. Let z = r - -69/8. What is the common denominator of 57/22 and z?
22
Suppose 2 = 2*j - 0*j. Let y(c) = 11*c**2 + j + 5 - c - 5 - c. Calculate the least common multiple of 7 and y(1).
70
Let k = 13 - 8. What is the lowest common multiple of k and 6?
30
Let v(s) = -s**2 + 5*s - 3. Let j be v(2). What is the common denominator of ((-14)/3)/((-20)/51) and ((-28)/(-16))/(j/(-36))?
10
Let h(c) = -419*c**2 - 3*c + 1. Let u be h(3). Let f = u - -30315/8. What is the common denominator of f and 81/4?
8
Let i = 8 + -5. Suppose -i - 3 = n. Let a(b) = b**3 + 5*b**2 - 9*b - 7. Calculate the least common multiple of 9 and a(n).
99
Let j be (-38)/(-3)*(-6)/30. Let x = 167/15 - j. Calculate the common denominator of (-146)/(-18) + (-3 - -1) and x.
9
Let u = -82/27 + -1859/108. Let y = 14191/140 + -698/7. What is the common denominator of u and y?
20
Suppose 2*p + 20 = i, p = 6*i - 2*i - 94. Let d = i - 14. Calculate the lowest common multiple of 10 and d.
10
Let v(z) = -2*z**2 - 2*z - 1. Let n be v(-1). Find the common denominator of (-3)/(-2)*(-278)/18 and n + (45/21 - 2).
42
Suppose v = -v. Suppose -4*g + 3*a + 38 = v, 10 = -5*a - 0. Suppose 2*w = 12 + 20. What is the smallest common multiple of g and w?
16
Let u = -822/5 - -13347/80. Let o = 106 - 22. Calculate the common denominator of u and 3/(o/22) + -1.
112
Suppose 5*d - 3*y - 7 = -6*y, 0 = 5*d + 2*y - 8. Let p be (2 + (-15)/6)*d. What is the smallest common multiple of p + 3 + 1 - -3 and 9?
18
What is the common denominator of (1 - 0)/(60/(-78)) and -7/18?
90
Suppose -5*o = 5*s - 20, -55 = -4*s + 5*o + 6. Suppose -5*h = -4*v - 45, s = h + 4*v - 5*v. Calculate the least common multiple of 2 and 60/h - 2/3.
6
Let x(i) = -3*i - 10. What is the least common multiple of 40 and x(-6)?
40
Let a = -2/797 + 292565/26301. Let q = 199/22 + a. Find the common denominator of -39/4 and q.
12
Suppose 90 - 376 = 2*l. What is the common denominator of 2*(l/(-12) - 3) and -1/4?
12
Let o = 284629314/4003 - 71104. Let j = 62514602998 + -5505411027954161/88066. Let x = o + j. Find the common denominator of x and 53/18.
198
Let b(z) = 2*z**2 - 4*z + 4. Let d be b(3). Suppose -4*t - 10 = -9*t - 3*s, 0 = 5*t - s - d. What is the lowest common multiple of t and 18?
18
Let f be 1/(-4) + 13/4. Let o be 1 + f - (6 - 4). Find the common denominator of 73/4 and ((-228)/56)/(1/o).
28
Let i(d) = -3*d**2 - 26*d - 13. What is the smallest common multiple of 6 and i(-8)?
6
Let v = 253/3 + -2207/24. Calculate the common denominator of v and -59/4.
8
Let z(g) = g + 11. Let c be z(-5). What is the common denominator of (-3)/(-9)*27/c and 24/7?
14
Suppose 3*q + q + 32 = 0. Let b = 0 - q. What is the lowest common multiple of b and 10?
40
Let z = 387/2 + -206. Suppose 2*l + 1 = -3. Find the common denominator of ((-68)/(-30) + l)*-21 and z.
10
What is the common denominator of -137/24 and (-2)/4*(-42)/(-9)?
24
Let m = 44 + -5. Find the common denominator of m/5 - -3 - 1 and -21/2.
10
Let r(c) = -4*c + 4. Let z be r(3). Let t = z - -11. Calculate the common denominator of 25/6 and (-19)/(-30) + (-1)/t.
30
Let o(s) = s**3 - 2*s**2 + s - 1. Let k be o(2). Let t = k - 0. What is the least common multiple of 2 and t?
2
Let h = -183/10 - -93/5. Calculate the common denominator of 93/4 and h.
20
Suppose 0 = -0*f + 3*f - 4*c + 81, -3*f + 3*c = 81. Let y = f + 45. Calculate the common denominator of 44 and (-4)/y - (-734)/(-180).
10
Let g = 89807096/9061245 + -2/201361. Let v = 19/9 - g. Find the common denominator of -45 and v.
5
Let q(p) = p. Calculate the smallest common multiple of (0 - -1) + 6 + 0 and q(7).
7
Let b = -10548 + 232149/22. Calculate the common denominator of 47/22 and b.
22
Let k = 2669 - 29379/11. Find the common denominator of -7/6 and k.
66
Let h = 8840 + -282931/32. Calculate the common denominator of 29/8 and h.
32
Find the common denominator of 99/8 and 2490/(-204)*(-2)/20.
136
Suppose -21 = 5*h + 3*n - 302, 4*h = n + 218. What is the smallest common multiple of 10/h - 84/(-22) and 10?
20
Let i(j) = -j**3 - 15*j**2 + 16*j + 16. What is the lowest common multiple of i(-16) and 22?
176
Let d be (-12700)/(-56) - (-4)/(-14). Let f = d - 222. What is the common denominator of -29/2 and f?
2
Let y(i) = -4*i. Let g be y(-3). Suppose 2*x + b = 14, 0 = 3*x + 2*b - 5*b - g. Let n = 27 - 17. What is the lowest common multiple of n and x?
30
Suppose -r = b - 8, 3*b + 27 + 13 = 5*r. Calculate the lowest common multiple of 5 and r.
40
Let p = 0 + 3. Let t(y) = y**3 + 18*y**2 + 77*y + 2. Calculate the smallest common multiple of p and t(-11).
6
Suppose 6*k - k - 110 = 0. Calculate the least common multiple of k and 12.
132
Let m be (-1922)/(-642) - (4 + 0 - 1). Let a be (24476/(-5350))/((-24)/(-10)). Let s = a - m. What is the common denominator of 71/10 and s?
10
Calculate the common denominator of ((-71)/30)/(30/(-25)) and (-6825)/2352 + -1*(-2)/(-7).
144
Suppose 2*b = -3*b. Let h(r) = 2*r - r - 14 + b*r - 3*r. Calculate the lowest common multiple of 3 and h(-10).
6
Calculate the lowest common multiple of (2/(-4))/((-3)/48) and 129/15 - (-9)/(-15).
8
Let s be (-72)/10*20/(-6). Let c = s + -14. What is the smallest common multiple of 8 and c?
40
Suppose 3*p - 39 = -5*r, -r + 23 = 5*p - 20. Let l = 93 + -87. What is the lowest common multiple of l and p?
24
Find the common denominator of ((-534)/27)/2 + 4 and 11/21.
63
Suppose -4*s + s = -15. Suppose s*c - 15 = 0, g + 0*c - 3*c + 7 = 0. Suppose 8*u - 11*u = -18. Calculate the smallest common multiple of u and g.
6
Let z(l) = -2*l - 2. Let u be z(2). What is the common denominator of u/(-10) - 585/(-50) and 95/2?
10
Suppose 42 + 134 = 11*x. Calculate the smallest common multiple of x and 30.
240
Suppose 0 = -22*p + 25*p - 45. Calculate the smallest common multiple of p and 3.
15
Let t = 182/9 - 112/9. Let f be 3/(-9) - (-14486)/(-7056). Let y = f + 5/441. What is the common denominator of y and t?
72
Let q = -63 + 69. Calculate the lowest common multiple of 3 and q.
6
Suppose 3*m = -4 - 5, 3*m + 42 = 3*p. Let o = p + -6. Calculate the lowest common multiple of o and ((-1)/1)/(-3)*3.
5
Suppose 0 = 3*g + 2*g - 50. Suppose 0*n + 