he common denominator of 1 - 0 - (1806/60)/7 and 97/10.
10
Suppose -2*r + 25 = 2*r + m, 2*r + 5*m = -1. Calculate the common denominator of (r + 2040/(-234))*(-6)/(-4) and 113/6.
78
Suppose -2*n = n - 18. Let y(d) = -d**2 + 6*d + 7. Calculate the lowest common multiple of 4 and y(n).
28
Calculate the common denominator of 142*(-1 + -1)/(-40) and -4 - (2 + 407/(-88)).
40
Let l(q) = q**2 + 2*q + 1. Let x(t) = t**2 + 4*t - 9. Let v be x(-6). What is the smallest common multiple of l(-3) and -18*8/(-12)*v/6?
12
Let b be (-2 - (-1 + 0))*-5. Let i(q) = -q. Let t be i(-15). Let u = t + b. What is the smallest common multiple of 14 and u?
140
Let y = 966 + -660. Find the common denominator of (4/(-6))/(1 + -3) and y/(-140) + (-6)/(-21).
30
Suppose 0 = -h - 4*i, 0 = 5*h + 5*i - 31 + 1. Suppose x + h = 6. Let m(k) = 5*k**2 - 2. Calculate the lowest common multiple of m(x) and 12.
36
What is the common denominator of 87/32 - (-7 + (-297)/(-36)) and 23/176?
352
Suppose 0 = 3*o - 2*y - 737, -5*y - 10 = 10. Calculate the least common multiple of 15 and -3 + (4/6)/(6/o).
120
Let k = 15983 + -10753. Let a = k - 52239/10. Let m = 67/2 - 62. Find the common denominator of m and a.
10
Calculate the common denominator of -89/248 and (1/(36/(-248)) - -4) + 3.
2232
Let g(n) = -n**3 - 3*n**2 + 16*n - 21. What is the lowest common multiple of 77 and g(-7)?
693
Find the common denominator of (-152)/1368*20/(-3) and -62/297.
297
Let u = -31881/110 - -1453/5. Find the common denominator of -143/288 and u.
3168
Let m(x) = 35*x**2 - 1. Let t(u) = 69*u**2 - 2. Let r(k) = -11*m(k) + 6*t(k). What is the least common multiple of 10 and r(1)?
140
Let y = 48/11 - 565/132. Find the common denominator of y and ((-21)/(-336))/(0 + -1).
48
Suppose -4*p + 0 = n - 1, -3 = 3*p. Suppose n*z - 5*r = 30, 3*z + 4*r = -r + 2. Calculate the smallest common multiple of z and 7.
28
Let s be (-32)/(-12)*(-3 + 477/12). Suppose -2 = 6*j - s. Calculate the lowest common multiple of j and 12.
48
Let g = -175 - -352. Suppose -4*o - 3*w = -8 - 9, -4 = o - 2*w. Find the common denominator of o/(-6) - g/(-9) and 12/17.
51
Calculate the lowest common multiple of (-4 + -2)/(-1) - -4 and 2272.
11360
What is the least common multiple of 48 and ((-74)/(-111))/(2/90)?
240
Suppose 2*x + x - 6*x = 0. What is the lowest common multiple of 9 and 9*(-3 - (-4 - x))?
9
Let w be (-978)/740 + -1 + 2. Let t = w + -14/37. Let c = 4451/10 + -441. What is the common denominator of c and t?
10
Suppose -6*z + 150 = 54. What is the least common multiple of z and 22?
176
Let y be ((-2)/(-3))/((-38)/399). Let m = 12 + y. What is the lowest common multiple of (10 - 5)/(m/6) and 4?
12
Let t = 5932933/82 + -72354. What is the common denominator of -6/5 and t?
410
Let d = 347/6 + -1559/24. What is the common denominator of d and -85/124?
248
Let v be (-18914)/(-6) + 4/(-12). Let o = v + -31547/10. Calculate the common denominator of o and -107/26.
130
Suppose -2*n - 23 = -4*q - n, 0 = 4*q - 4*n - 20. Let j = 11 - 9. Suppose 3*p - 31 = w, 3*w + j*w = -5. Calculate the smallest common multiple of q and p.
30
Suppose 3*q - 76 - 68 = 0. Suppose 0 = -2*l - 2, 0 = -3*t - 2*t - 2*l + q. Calculate the smallest common multiple of t and 22.
110
What is the lowest common multiple of 4 and (320/(-50))/((-4)/30)?
48
Let s(i) = 2*i**2 + 25*i - 1. Let a be s(-12). What is the smallest common multiple of 52/a + (-5)/(-1) and 10?
10
Let p(s) = 10*s**2 - 30*s + 4. What is the smallest common multiple of p(-2) and 16?
208
Suppose -5*a - 47 = -17. Let d be (8/(-6))/(a/9). Suppose -s + 6*s + 37 = d*j, -19 = j + 5*s. What is the smallest common multiple of 7 and j?
42
Let d = -1/1055 - -22159/4220. Let g = d - 109/12. What is the common denominator of g and 11/58?
174
Calculate the common denominator of -3 + 3564/(-600) - -10 and 61/5.
50
Let x = -38 - -151/4. What is the common denominator of -4*(-3)/(-42) + (-14675)/8050 and x?
92
Let b = 81156 - 12579132/155. What is the common denominator of b and 59/8?
1240
Suppose 0 = t - 4*w + 51, t - w + 3*w + 27 = 0. Let h = t - -39. Calculate the least common multiple of h and 33.
132
Let a = -237528/131 + 155579605/86198. Let d = a + -3/658. Calculate the common denominator of 19/10 and d.
70
Suppose 0 = 2*g + 4*q - 24, -5*g = 2*q - 4*q. Suppose -n - 8674 = -4*m - 6*n, 4*m - g*n = 8660. What is the common denominator of m/180 - (-1)/(-3) and -13/12?
60
Let o = -17 + 33. Let u(h) = -h**3 + 16*h**2 + h - 19. Let i be u(o). What is the smallest common multiple of 22 and i - (5 + -3 - 13)?
88
Let l = -31 - -82. Let u = -35 + l. What is the lowest common multiple of u and 20?
80
Let u be -2*(192/(-20) - -1)/(-1). Let k = u + 16. Let n = 329 + -3671/11. What is the common denominator of k and n?
55
Suppose -3*g + 13 = -3*q - 5, -5*g + 28 = -4*q. Let j = q + 12. Calculate the common denominator of 51/14 and 6/(-10)*185/j.
70
Let p = -162669/20090 - 6/2009. Calculate the common denominator of -13/20 and p.
20
Let u = 1434 + -77405/54. What is the common denominator of 52/33 and u?
594
Let t = -10151 - -61039/6. Find the common denominator of t and (4/234)/(1/(-75)).
78
Let f = 1072747/66 + -16253. Find the common denominator of f and 71/44.
132
What is the smallest common multiple of 37 and (-84)/(-14) + 0/3?
222
Let u(z) = -9*z + 27. Let b be u(-12). Let d = -28 + 193/8. Calculate the common denominator of d and (-381)/b - (-15)/25.
72
Let v = -10239/14 + 730. Calculate the common denominator of (-5 - (-98)/(-72)) + 5 and v.
252
Suppose 5*t = 3*q - 522, -2*t - 5*q - 211 = -4*q. What is the common denominator of (15/325)/(6/t) and -69/10?
130
Suppose y + 194326521 = -2*d - 48511879, d = 2*y + 485676815. Let q = y - -902630344391/3717. Let m = -3/413 + q. What is the common denominator of m and 1/6?
18
Let x be (-12)/16 - (-486)/8. Let c = -6445/12 - -534. Calculate the common denominator of (-66)/(0 - x/(-9)) and c.
60
Let i = -3085155869/207570288 - -7/3098064. Let d be ((-272)/(-134) - 2) + -3 + 5. Let f = i + d. Calculate the common denominator of -101/12 and f.
12
Let f = 1547/114 - -24/19. Let l be 23/(-2*5/300). Let k = l - -3427/5. What is the common denominator of f and k?
30
Let i(l) = l**2 - 14*l - 2. Let n be i(14). What is the common denominator of 6 and 225/(-42) - (-6 - n)?
14
Let x = -51 + 57. Let q(r) = -r**3 + 5*r**2 + 6*r + 1. Calculate the smallest common multiple of 10 and q(x).
10
Let h be -4*(-4)/24*-69. Let a = 54 + h. What is the smallest common multiple of a and (-5)/(-2) + (-1)/2?
8
Let u = 502 + -412. What is the least common multiple of 180 and u?
180
Let y = -547159/2139456 - -6/11143. What is the common denominator of 89/20 and y?
960
What is the common denominator of 18/7 and (1/(-4))/(140/(-1764))?
140
Let o(m) = -m**3 - 6*m**2 + 5*m - 6. Suppose 3*v + 1 = -z, 4*z - 9*z + 2*v + 46 = 0. Calculate the lowest common multiple of z and o(-7).
8
Let c = 10/21 + -974/105. Let b = -403170807/192431260 + -6/310373. Let j = b + -3/620. What is the common denominator of j and c?
10
Let z = 389 + -339. Calculate the lowest common multiple of 30 and z.
150
Let z = 1082389/50 + -21647. What is the common denominator of -24/25 and z?
50
Let w = -11 + 8. Let t = 2899 - 2877. Calculate the smallest common multiple of w/9 + (-86)/(-6) and t.
154
Let w = 1220 - 1190. Suppose j - 5 = 2*a, 3*j + 0*a - a - 15 = 0. What is the smallest common multiple of w and j?
30
What is the smallest common multiple of (9/(-12))/(36/(-19296)) and 6?
402
Suppose 2*t - 272 - 70 = 0. Suppose -4*c - t = -7*c. Calculate the common denominator of (c/(-2))/((-36)/30) and 22/9.
36
Let z(c) = -11*c + 22*c - 1 - 12*c - 3. Calculate the lowest common multiple of 39 and z(-5).
39
Let p = -934/3 + 6709/21. Let v be 2/11 - 4476/(-1155). Let g = -13/7 + v. Calculate the common denominator of p and g.
35
Let r = -749/15 + 7051/135. What is the common denominator of r and -7/72?
216
Let r = -10746 + 10884. Let u = 36 + -22. What is the lowest common multiple of u and r?
966
What is the common denominator of (-690)/44 + 24/132 and 2 + -2 - (-38)/(-8)?
4
Let y = 78 + -24. Suppose y = 10*l - 4*l. Calculate the lowest common multiple of l and 4.
36
Let w = -1463/4 - -363. Find the common denominator of 63/22 and w.
44
Let l(a) be the 