q - 19. Find the common denominator of -1/2 and ((-639)/24)/((-30)/p).
10
Let z = 18755/6 + -3116. What is the common denominator of z and -17/6?
6
Calculate the common denominator of (114/40)/((-2)/5) and 121/20.
40
Let g be 3574/12 - (-6)/(-36). Let x = -275 + g. What is the common denominator of 36 and x?
3
Suppose -d - 10 = -6*d. Suppose -d*i + 4 = -i. Suppose -36 = -i*p - 0*p. What is the lowest common multiple of p and 9?
9
Let t(z) = -z - 14115. Let n = 2 - 2. Let c be t(n). Let j = c + 169529/12. Find the common denominator of j and 75/22.
132
Let d = 12 + -9. Suppose d*o - 12 = -0*o - 3*k, -o + 8 = -3*k. What is the least common multiple of o and 3?
15
Let z(h) = 11*h**2 + h - 2. What is the lowest common multiple of 40 and z(-2)?
40
Let z = -32 + 18. Let r = z - -6. Calculate the common denominator of (-20)/r*(-69)/20 and 55/6.
24
Let v = -38 + 48. Calculate the smallest common multiple of v and 56.
280
Let s = -2/227 - -10918/2497. Let k be ((-321)/(-594))/((-4)/102). Let n = k + s. What is the common denominator of n and 71/2?
12
Suppose 0 = -0*g - 4*g. Suppose g = 6*z - 2*z - 8. What is the smallest common multiple of z and 16?
16
Let b = 15888/325 + -661/13. Find the common denominator of -43 and b.
25
Suppose 2*b - 2 - 8 = 4*l, 8 = l + 3*b. Suppose -2*q = -d - 19, 3*q + d = -2*d + 33. What is the least common multiple of q and 1/(l + (-33)/(-30))?
10
Let f be -3 + 5 + 635 + 0. Let r = -175 + 49. Find the common denominator of -29/18 and 1*-1 - f/r.
18
Suppose 5*x = -0*y - 2*y + 30, 2*x = -y + 16. Calculate the least common multiple of y and 16.
80
Suppose -12 = -3*w + w. Calculate the common denominator of ((-21)/56)/(w/10) and -97/22.
88
Let r(l) be the third derivative of l**5/60 - l**4/12 - l**3 + 4*l**2. Let z be r(6). Find the common denominator of 6/(-6) - 80/z and -18/7.
63
Calculate the common denominator of 295/(-650) - (-2)/13 and -25/44.
220
Let m = -63931/14660 + 8/733. What is the common denominator of (214/8 - 5)/(-9) and m?
60
Suppose -u + 30 = 2*u. What is the smallest common multiple of 10 and u?
10
What is the common denominator of (-3)/(-30)*-3 + 46/(-23) and (-4)/(-6) + (-263)/(-6)?
10
Suppose 28 = -0*s + 2*s - 3*v, 2*v + 92 = 5*s. What is the lowest common multiple of s and 2?
20
Let k be (9 + 819)/((-15)/(-2)). Let v = -4911/40 + k. Calculate the common denominator of v and 3/56.
56
Let s(i) be the first derivative of i**2/2 + 14*i + 2. Calculate the lowest common multiple of 8 and s(-11).
24
Find the common denominator of (4/(-17))/(14/(-84)) and -29/4.
68
Let f(w) = -w**3 + 8*w**2 + 19*w + 20. Let i = 1 - -1. What is the smallest common multiple of f(10) and i?
10
Let l = 3 + -5. Let i(o) = 17*o - 2. Let v be i(l). Let t = -26 - v. What is the lowest common multiple of t and 9?
90
Suppose 0 = 2*n - 4*n + 22. Let r = 20 - -7. Suppose -r = -3*y + 3*w, 0*y + 3*y + 4*w + 8 = 0. What is the smallest common multiple of n and y?
44
Let t = 14/65 - -3509/910. What is the common denominator of (-71)/8*1/2 and t?
112
Find the common denominator of -89/54 and -2*(-146)/30 + (-2)/(-12).
270
Let g(p) = -p**3 - 10*p**2 + p + 14. Calculate the least common multiple of g(-10) and 12.
12
Let h(q) = -5*q**2 - q + 4. Let f(d) = 6*d**2 + d - 4. Let p(b) = -4*f(b) - 5*h(b). What is the least common multiple of p(-5) and 18?
144
Let g = -6205 + 49715/8. Find the common denominator of g and -11/4.
8
Let j = -1022 - 615. Let h = -26181/16 - j. Calculate the common denominator of h and -119/12.
48
Let p = -16 - -34. What is the smallest common multiple of 18 and p?
18
Let z(p) = p**3 - 16*p**2 - 17*p + 2. Calculate the smallest common multiple of 58 and z(17).
58
Let i = -21883/56 - -10/7. Let c = -2644/7 - i. Calculate the common denominator of c and -42/11.
88
Calculate the least common multiple of ((-1)/3)/(6/(-18)) and 7.
7
What is the common denominator of (88/40)/((-24)/(-10)) and -73/18?
36
Let b(z) = z + 3. Let j be b(-3). Suppose j = -0*i - i + 6. What is the smallest common multiple of i and 10?
30
Suppose 0 = 4*o + 2*l - 406, -3*o + 109 = -2*o + 3*l. What is the smallest common multiple of o and 2?
100
Suppose -3*y + b + 24 = 0, -4 - 4 = -y + 5*b. Calculate the common denominator of -59/8 and (236/(-50))/(y/10).
40
Let q(t) = 3*t. Let h be q(1). Suppose -24 = h*i - 0. What is the common denominator of (-10)/6 - 2/i and 7/16?
48
Let l(t) = -t**2 + 7*t. Let y be l(6). What is the smallest common multiple of (y/(-4) + 1)*-8 and 8?
8
Let k(i) = 3*i + 0 - 11 + 2. What is the smallest common multiple of 2 and k(7)?
12
What is the common denominator of (-150)/(-4) - (-1 - 1) and -31/6?
6
Suppose 10 + 10 = k. What is the smallest common multiple of k and 48?
240
Let p(v) = -v + 17. Calculate the smallest common multiple of 9 and p(7).
90
Find the common denominator of (-1)/4 + 146/(-56) and -54/13.
91
Suppose 0 = -5*j + 9*j - 4. What is the common denominator of (-129)/144 - j/(-3) and ((-51)/(-18) - 0)/3?
144
Let q = -541 - -5419/10. Find the common denominator of q and 3/(-6) + (-38)/(-32).
80
Let m(j) = -j**2 + 15*j - 13. Let r be m(14). What is the common denominator of -65/2 and (r/16)/(1/(-19))?
16
Let b(w) = -4 - 1 + 4*w**2 - w**3 + 2. Calculate the lowest common multiple of b(3) and 1.
6
Let v(n) = 545*n**3 - 2*n**2 - 2*n - 2. Let z be v(-2). Let o = z - -43783/10. What is the common denominator of 59/2 and o?
10
Let g(s) = -s - 5. Let i be (8/10)/((-1)/10). Let h be g(i). Suppose -h*z = -5*m + 53, m - 4 = z + 7. What is the lowest common multiple of m and 6?
30
Suppose -2*a - 23 = v, -4*v = -5*a - 19 - 71. Let j = a - -30. Calculate the smallest common multiple of j and 8.
16
Let c = -23258/7 + 3330. What is the common denominator of 36/5 and c?
35
Let x(t) = t. Let y be x(-8). Find the common denominator of 20/(-25)*67/y and -49/5.
10
Let c = -7110 - -42763/6. Calculate the common denominator of c and (-38)/(-6)*(-3)/2.
6
Let r = 20 + -22. Let l = r + 4. Calculate the least common multiple of l and 11.
22
Let u = 28 - -10. Suppose -128 + u = -5*o. What is the smallest common multiple of o and 12?
36
Find the common denominator of (4/(-60))/((-6)/2055) and -93/14.
42
Let h = 15375/22 - 696. What is the common denominator of h and 2/2 - (-8)/96?
132
Let l = -1 + 6. Let r = -20 - -29. What is the lowest common multiple of 6/r - (-20)/6 and l?
20
Suppose -r + 6*r = 150. Calculate the smallest common multiple of 14 and r.
210
Let l(a) = 2*a - 7. Calculate the lowest common multiple of (-134)/(-12) - (-2)/(-12) and l(6).
55
Let b = -3581 - -6778. Let u = -25655/8 + b. Let t = -1/1505 - 151987/27090. Find the common denominator of t and u.
72
Suppose -4*u + 1240 = u. Let p = -477/2 + u. Let w = -188 + 3383/18. Find the common denominator of p and w.
18
Suppose 5*l - 4*v = -18823, 0 = -6*l + l - 5*v - 18850. Let q = 22697/6 + l. Find the common denominator of 18/(-12)*(-100)/(-132) and q.
66
Suppose -3*r = -4*q + 1 - 0, 2*r - 10 = 0. Suppose 3*m + 5*c = 20, q*c - 6*c - 24 = -2*m. Calculate the smallest common multiple of 3 and m.
30
Calculate the common denominator of -4 + -2 + 204/9 and -27/5.
15
Let f = 76 + -58. Suppose 3 = -2*o + 19. Calculate the least common multiple of f and o.
72
Let g = 22697/10 + -2266. Let o = -3549/1360 + -11/272. Calculate the common denominator of g and o.
20
Let f be (-20)/(-3)*(-6)/(-4). Suppose -2*h - f - 28 = -5*v, 5*v - 5*h = 35. What is the lowest common multiple of v and 10?
40
Let n be (-1*(4 - -2))/(-2). Let r = 9 + n. Calculate the smallest common multiple of r and 22.
132
Let g(r) = 60*r**3 - 7*r**2 - 9*r - 7. Let n be g(-7). Let v be (-5)/(-5) - n/5526. Let m = 1/614 + v. What is the common denominator of m and 43/9?
9
Let a = 194/9 + -1183/72. Calculate the common denominator of a and 2 + 66/32 + 1.
16
Let k = -6089/297 + 1/594. What is the common denominator of (6/4)/(15/(-114)) and k?
10
Suppose -25 = 2*w + r + 53, 5*w + r + 192 = 0. Calculate the common denominator of (-4)/6 + 47/(-15) and w.
5
Suppose -13282 = -q + 4*n - 3*n, -4*n + 26552 = 2*q. Let p = q - 292097/22. What is the common denominator of -79/6 and p?
66
Calculate the common denominator of ((-12)/(-18))/(24/110) and -31/30.
90
Let c = -16 - -23. Let j = -18 - -31. Suppose -q = -t - 5*q - j, t + 1 = -q. What is