+ 24082, 2*x = 3*j + 27220. Let p = j + 163343/18. Find the common denominator of -127/6 and p.
18
Let a = 2 - -9. Calculate the least common multiple of 6 and a.
66
Calculate the common denominator of (3 - 36/8)/((-36)/226) and -23/20.
60
Let y = -7 + 14. Let j be ((-10)/15)/(2/(-33)). Let v = j - y. What is the smallest common multiple of v and 18?
36
Suppose -212 = -21*k + 712. Calculate the least common multiple of k and 4.
44
Suppose 5*k + 13 + 6 = -3*a, 4*a = -3*k - 7. What is the smallest common multiple of a and 7?
14
Calculate the smallest common multiple of 48 and (-1)/(-1) + 4/(4/11).
48
Find the common denominator of (-2 - 1) + 230/60 and -101/26.
78
Let w(t) = 2*t + 14. Let s(z) = 1. Let y(l) = -42*s(l) + 3*w(l). What is the smallest common multiple of 2 and y(4)?
24
Let d(p) = -p + 8. Let f be d(9). Let l(q) = -3*q. Suppose 2*y - 5*u + 12 = 42, -3*y - 2*u + 26 = 0. What is the least common multiple of y and l(f)?
30
Find the common denominator of (-1 - (2 + 1)) + (-325)/(-20) and ((-1)/(-2))/((-3)/103).
12
Let m(j) = 3*j**3 - 2*j**2 + 2*j + 2. Let y be m(2). Let w = 5927/6 - 992. Find the common denominator of 1 + (25/y - 1) and w.
66
Let f(a) = -a**3 + 5*a**2 - a - 4. Let p(m) = -5*m - 4. What is the lowest common multiple of p(-4) and f(2)?
48
Suppose 0 = 4*b + 2 + 6. Suppose 1 = t - 3*h, -4*t = -6*t + h + 17. Calculate the lowest common multiple of (b + (-10)/(-4))*10 and t.
10
Let i = -1021/12 + 85. What is the common denominator of 2 and i?
12
Let y = -2/89 - -386/1335. What is the common denominator of -145/18 and y?
90
Suppose 0 = x - 5 - 0. What is the common denominator of (-6)/x - (-24)/16 and 14/5?
10
Suppose -3*l + 0*l = 4*c - 16, 5*c + 5*l - 20 = 0. Suppose 8 = 5*h - c*h. Calculate the least common multiple of h and 10.
40
What is the common denominator of 2/9 - (-1195)/495 and (-64)/(-28) + 0 + 0?
77
Let d = 2 + 3. Suppose 8 = -2*g, -5*f + 16 = -3*g - 1. Let z = d - f. What is the lowest common multiple of 10 and z?
20
Let v = 3823/4 - 972. Calculate the common denominator of v and (-781)/(-154) + (-4 - 0).
28
Suppose -4*h - 2*r + 16 = 0, h - 16 = -3*h - 3*r. Suppose 5*f - 6 = h. Calculate the common denominator of 56/5 and 2 - ((-20)/7 - f).
35
Let n = 56841/40 - 5677/4. What is the common denominator of 77/20 and n?
40
Let t = 2195/8 + -15697/56. Let d = -2419 - -14549/6. What is the common denominator of d and t?
42
Let t = 5711761 + -753944987/132. Let j = t + -701/12. Calculate the common denominator of 81/16 and j.
176
Let d = 403/6 - 161/3. Find the common denominator of (-28)/14 + (-91)/2 and d.
2
Suppose -51 = 2*i + 31. What is the common denominator of 89/10 and i*((-2)/(-1))/(-20)?
10
Suppose -5*z = -3 - 7. Let r be (-34805)/(-10) + z/3. Let x = -3500 + r. Find the common denominator of x and 68/9.
18
Suppose -3 = 4*z - z. Let y = -6 + z. What is the smallest common multiple of 1 and (y/(-3) - 2)*9?
3
Let q(u) = u + 5. Let f be q(-7). Calculate the common denominator of -10*f*(-9)/(-192) and 53/14.
112
Calculate the common denominator of (2 - (-39)/(-21))*-22 and -37/7.
7
Let s = -10 + 12. What is the least common multiple of s and 1?
2
Suppose -5*j + 38 = 3*r, 5*j - 54 = -6*r + 2*r. What is the least common multiple of r and 48?
48
Suppose 0 = 3*f + 2*j - 0*j - 32, -5*f + 5*j + 95 = 0. What is the smallest common multiple of f and (-2 + 3)*2*7?
14
Let c = -132989/32 + 4155. Find the common denominator of c and 41/8.
32
What is the least common multiple of (-15 - 0)*(-6 - -4) and 20?
60
Let r = 10949 - 240951/22. What is the common denominator of r and -67/10?
110
Suppose 3 = -3*y + 6. Let n(u) = 4*u**2 - 2*u + 1. Calculate the least common multiple of y and n(1).
3
Let d = -5 + 8. Suppose d*p + 4*h = -0*p - 15, 0 = 2*p + 4*h + 14. What is the common denominator of ((-459)/(-15))/3*p and 39/5?
5
What is the least common multiple of (-3)/(-30) - (-119)/10 and -1 + 1 + -1 + 17?
48
Find the common denominator of 47/16 and 114/(-96) - (-3 - 0).
16
Let i(h) = 2*h - 3. Let u be i(3). Let o(c) = 226*c + 9. Let x be o(-3). What is the common denominator of -93/22 and u/(-5) + x/(-90)?
66
Let z = 405/38 - 22/19. Let w = 5415/88 + -846/11. Let k = z + w. Find the common denominator of k and -83/2.
8
Let r(h) be the third derivative of 3*h**2 - 1/24*h**4 + 0*h + 0 - 1/6*h**3. What is the lowest common multiple of r(-2) and 2?
2
What is the lowest common multiple of 3 and (-2 - 24/(-4)) + 1?
15
Suppose i + 2*z + 16 = -0*z, -3*z = 0. Let o = -6 - i. What is the smallest common multiple of 5 and o?
10
Suppose -5*q = -0*q - 115. Suppose q = 2*c - 17. What is the lowest common multiple of c and 16?
80
Let b = 13105/16 - 820. Let g(w) = 148*w**2 + 3*w + 6. Let p be g(-8). Let l = 207939/22 - p. What is the common denominator of b and l?
176
Let f = -15 - -20. What is the lowest common multiple of 5 and f?
5
Calculate the least common multiple of 24 and (-282)/(-22) + -6 - (-4)/22.
168
What is the common denominator of 9/((-10)/(-4) + 0) and 119/6?
30
Let j = -1/1761 + -29929/14088. Calculate the common denominator of j and -95/8.
8
Let x be -4*(2 + -1)/(-1). Suppose 24 = 5*b + x. Suppose -4*o = o - h - 32, 2*o + b*h - 4 = 0. Calculate the lowest common multiple of 11 and o.
66
Let a = -16384 + 48494/3. Let f = a - -413/2. Find the common denominator of f and -83/6.
6
Let i(d) = d**2 + 23. Let z be -1*(4 + (0 - 0)). Find the common denominator of 87/(-55) + z/(-10) and i(0).
11
Let h be 16/20*(-130)/(-4). Let t = -6 + h. Calculate the least common multiple of t and 14.
140
Let h = 57/7 + -501/77. Calculate the common denominator of 0 + 1 - 49/11 and h.
11
Suppose -9941 = 5*u + 6*m - 5*m, 0 = -5*u + 5*m - 9965. Let b = -15993/8 - u. Find the common denominator of 93/8 and b.
8
Let z be 4/(-16) + 9/4. Suppose m + 0 + z = 0. What is the common denominator of -33 and 280/(-25) + m/(-4)?
10
Let r(z) = z**2. Let j(n) = 6*n + 5 - 1 - n**2 - 3*n**2. Let p(m) = j(m) + 3*r(m). What is the smallest common multiple of 8 and p(6)?
8
Let r = 75977/13518 + -7/751. Let s(y) = 10*y**3 + 2*y**2 + 2. Let k be s(-2). Find the common denominator of r and -4 + 6 - k/36.
18
Let c = 182 - 50. Suppose 0*i + 3*i = -c. What is the common denominator of (-21)/15*70/i and -103/22?
22
Suppose 4*d = -4*z - 12, -6*z - 36 = -2*z - 4*d. Let v = -4 - z. Suppose -3*r + 48 = r. What is the lowest common multiple of v and r?
12
Suppose -3*w - 5*n = -73, -2*w = 3*w - n - 131. Calculate the least common multiple of w and 2.
26
Let t = -69569/40374 + 2/2243. Find the common denominator of 13/18 and t.
18
Suppose -8*d + 1327 = -305. Calculate the smallest common multiple of 2 and d.
204
Let y be -2 + 0 + 1 + -2. Let c = 4 + -2. Calculate the lowest common multiple of y*(-1 - 2) + 0 and c.
18
Let u be 10/(-15) - 1553/(-3). What is the common denominator of 119/20 and -4 - (u/(-18))/11?
180
Let q = -108 + 109. Calculate the least common multiple of 1 and q.
1
Let u be 3/1 - (1 + -2). Suppose 13 = u*x + 5, 3*a - 48 = 3*x. Calculate the least common multiple of a and 16.
144
Suppose -2 = -0*m - 2*m. Calculate the least common multiple of 11 and m.
11
Let o(f) = f + 6. What is the smallest common multiple of 21 and o(12)?
126
Let r be 2/(-8) + 1/4. Let i(b) = 2*b + 9. Let c be i(11). Suppose 2*z = r, -z + 13 = 2*n - c. What is the smallest common multiple of n and 6?
66
Suppose -2*x - 36 = -4*a + 2, -a = -5*x + 13. Let w = -80863/8436 + 3/1406. Calculate the common denominator of (33/(-30))/(a/(-45)) and w.
24
What is the common denominator of 2*(-4)/(-16) + 2 and 43/12?
12
Suppose 6 = 3*s - 5*v, 3*s + 0*s - 4*v - 6 = 0. What is the smallest common multiple of 16 and s?
16
Let y = -3308066/3005 - 1410/601. Let p = -1110 - y. Calculate the common denominator of 4/14 - 1664/140 and p.
5
Suppose 0 = -5*x + 21 + 9. Calculate the least common multiple of (12/(-10))/((-6)/20) and x.
12
Let j = -60301/10 - -6022. Find the common denominator of j and -25/38.
190
Let x = -45/1337 - -2253115/8022. Let z = 282 - x. Let q = 128159/4202 - -1/2101. Find the common denominator of q and z.
6
Let j = -6 - -38. Suppose 0 = 5*b - j - 8. Calculate the least common multiple of 6 and b.
24
Let m(g) = -73299*g. Let b be m(-1). Let f be b/33 + 4/(-22). Let j = f + -13415/6. What is the c