ate the common denominator of 7 and m - (2 - r/12).
3
Find the common denominator of 3*(-20)/(-135)*37/4 and 34/33.
99
Suppose 3*q - 4*d - 24 = 0, 3*d = 4*q - 26 - 13. What is the least common multiple of 84 and q?
84
Suppose z + 3 = 0, g + 5*z + 12 - 2 = 0. Let t = -378 - -394. Calculate the smallest common multiple of t and g.
80
Let j(p) = -2*p**3 + 3*p**2 - 9*p + 6. Let z be (-5 - 1)*-1*1. Let y be j(z). Let g = y - -727/2. What is the common denominator of 131/6 and g?
6
Let q = -64097/11064 - -3/1844. Let o = -6/47 - -613/752. Find the common denominator of q and o.
48
Let y = 2482 - 1627. What is the least common multiple of y and 4?
3420
Let r = -4658 - -55967/12. Find the common denominator of 2 + (-1)/(-22) + -4 and r.
132
What is the common denominator of (3417/3740)/((-30)/25) and -75/88?
88
Let x be 4/18 + (-11206)/(-117). Let c = x + -171/2. Find the common denominator of 2 + 0 + (-26)/(-8) and c.
4
Let c be (-3)/1 - 2360/(-704). Let g = c - 411/88. Calculate the common denominator of 43/56 and g.
616
Let g be (3 + 3 + -2)*1. Let w be (8/(-4))/2 + g. Calculate the common denominator of 2 - (41/8 + w) and 93/4.
8
Let s = -97 + 67. Find the common denominator of 452/s*1/(-4) and 53/9.
90
Let r(f) = -5*f**2 + 112*f - 14. Suppose 5*o - 1 + 67 = 3*i, 30 = i + o. What is the smallest common multiple of r(22) and i?
270
Let y = 2706 - 16147/6. What is the common denominator of -6 - ((-6)/14 + 11305/(-490)) and y?
6
Let t = -1951/3 + 666. Suppose 5*y + 1466 = 4686. What is the common denominator of (2/36)/((-14)/y) and t?
9
Let l = 8 + -5. Suppose -l*u - 3*b = 0, 2*b = 1 - 5. What is the least common multiple of (u + 40/(-12))*-6 and 12?
24
Suppose -300 = -2*b - 30. Suppose -6*f + f = -b. Let w = f - 23. What is the least common multiple of 14 and w?
28
What is the common denominator of 42/714 - 2/9 and -1/255?
765
Let k be 6/(-8) + (-42)/(-56). Suppose k = -c - 2*c - 60. Calculate the common denominator of ((-414)/c)/((-54)/45) and -29/4.
4
Suppose 4*f = -f + 190. Suppose 34 = 4*z - f. What is the least common multiple of 18 and z?
18
Let x be ((-5817)/(-60))/(6/(-1165)). Let v be (1 + 611)*(-4)/((-256)/1968). Let l = x + v. What is the common denominator of l and 61/9?
72
Suppose 455 = l + 6*l. Let u = 74 - l. Calculate the smallest common multiple of u and 35.
315
Let m = 20 - 38. Let q be (-4)/m + (-187)/(-9). Let s = q + -9. Calculate the smallest common multiple of 10 and s.
60
Let a be ((-1042)/3)/(6/81). Let h = -56305/12 - a. What is the common denominator of h and (308/176)/(1/(-10))?
12
Calculate the common denominator of -93/40 and -41*(-3)/(-64) + 5/10.
320
Let i = -1/707 + -33224/3535. Find the common denominator of (534/(-33))/((-888)/814) and i.
30
Suppose 0 = -3*j - 2*j + 30. Suppose 0*r - r + 2*w + 9 = 0, -29 = 4*r + 5*w. Calculate the least common multiple of (-37)/(-4) - r - (-21)/(-84) and j.
30
Let w = -1/300563 - 736078617/51095710. Let f = w - -165/17. Calculate the common denominator of f and 108/32 - (1 + (-2)/(-2)).
40
Let m be 794880/(-44) + (-2)/4. Let c = m + 18069. Calculate the common denominator of 27/20 and c.
220
Let m be ((-1043)/1134)/((-6)/28). Let c = m - 17/243. Find the common denominator of ((-3)/(-20))/((-2)/(-52)) and c.
90
Let u(k) = 5 + k - 7 + 0*k + 4*k**2. Let h be u(-2). Let p = 16 - h. What is the lowest common multiple of 12 and p?
12
Suppose -129 = 9*z - 273. Let g = -13 - -22. What is the lowest common multiple of z and g?
144
Let p = -13239/31 - -427. Let r = -48413 + 3001703/62. Let c = r + p. Find the common denominator of c and -4/11.
22
Suppose -h - 3 = -5. Suppose h*o + 2*v - 73 = -3*v, 2*o - 65 = 3*v. What is the lowest common multiple of o/10 + 8/(-20) and 10?
30
Let g(d) = 8*d**2 + 70*d + 324. Calculate the smallest common multiple of 33 and g(-5).
1914
Let q be (2 + 2)/((-6)/(-51)). Suppose -5*w + 212 = -r + 2*r, -w + 4*r + q = 0. Find the common denominator of -37/2 and (2/6)/(w/(-414)).
14
Suppose b - 3 = -3*d, -2*d + 6*d = 0. Let h(w) = 11*w**3 - 2*w**2 + 4*w - 1. Let f be h(b). Let z = 1607/6 - f. Find the common denominator of z and 79/6.
6
Let o = 39 + -74. What is the common denominator of (242/(-10))/((-84)/o) and 79/6?
12
Suppose -3*r + 25 = -2*w, -2*r + 5 + 33 = 4*w. Calculate the smallest common multiple of r and 4*((-11)/(-4) - 1).
77
Suppose -20 = -2*z + 5*g, 0 = -z - 4*g - 9 - 7. Suppose n = 5, -4*v + n = -z*n - 55. Suppose 3*d + 3 = v. Calculate the lowest common multiple of 1 and d.
4
What is the common denominator of 59/8 and (4/48)/(4/(-440))?
24
Suppose 2*m = 17 - 13. Suppose m*o = 6 - 2. Suppose 48 = 4*v - 16. Calculate the smallest common multiple of v and o.
16
Let f = 747 + -49301/66. Find the common denominator of f and -71*(9 - 477/54).
66
Suppose 7*a + b = 2*a + 51, a = b + 9. Calculate the smallest common multiple of a and 4.
20
Let p(h) = -h**2 + h + 60. Let o be p(0). Suppose -o*w + 59*w = -10. What is the lowest common multiple of w and 11?
110
Suppose 4*z + 3*u = -412, -1 + 13 = -3*u. Find the common denominator of 73/8 and ((-405)/z + -4)/((-4)/15).
16
Suppose -f + 101 - 9 = 5*r, -3*f - 30 = -2*r. Calculate the lowest common multiple of r and 12.
36
Suppose 16*t = 702 + 530. Calculate the least common multiple of t and 35.
385
Suppose 16 = -p + 5*p. What is the lowest common multiple of p and 676/117 + -6 - 188/(-36)?
20
Let a = -503/2 + 4065/16. Calculate the common denominator of a and 3/4*(-122)/(-48).
32
Suppose 2*k - 65 = -25. Let v = 40 - 36. Calculate the least common multiple of k and v.
20
Suppose 5*s + 2*f - 158 = 0, 5*s - 3*f = -7 + 145. Suppose -3*n = -4*v + 73, 0*v + n = -v + 13. Calculate the lowest common multiple of s and v.
240
Let j = 39806455/231 - 172322. What is the common denominator of 20/189 and j?
2079
Let s be 1/(-5) - (-8)/40. Let h = s + 8. Calculate the lowest common multiple of h and 16.
16
Suppose 76*m + 2940 = 86*m. Calculate the least common multiple of m and 27.
2646
Let w(t) = -t**3 - 3*t**2 - 10*t - 3. Let n = 9 - 16. Let a be w(n). What is the common denominator of -20/9 and (-10)/(-30) + a/(-24)?
72
Suppose 473 - 97 = 4*d - 4*i, 0 = 2*d + i - 194. Let k = 104 - d. What is the lowest common multiple of 68 and k?
136
Let z(c) = -c**2 + c - 1. Let o be z(3). Let v(a) = -2*a + 8. Calculate the lowest common multiple of (-3 - 0/(-3)) + 11 and v(o).
88
What is the common denominator of 53/11 and (173/(-6) - -2)*(-19)/13433?
6666
Let q = -3 + -6. Let k = -8 - q. Calculate the smallest common multiple of k and 4.
4
Suppose 90*r - 10260 = 14*r. What is the least common multiple of 4 and r?
540
Let h = 640285472 - 1315146284519/2054. Let c = h - -1/1027. Let i = -918029/181780 + 2/9089. Find the common denominator of i and c.
20
Suppose 0 = -f + 2 - 3. Let s be (f/(1/22))/(-1). Calculate the lowest common multiple of (16 - 10)*s/6 and 18.
198
Let v be (-132)/15 + (-1)/5. Let q = 22 - v. Calculate the common denominator of (q/9)/(6/9) and -101/14.
42
Let m = 2496 + -29891/12. Let o = -197 - -387/2. Let b = m + o. Find the common denominator of b and 33/10.
60
Suppose 0 = 6*o - 18*o + 288. What is the least common multiple of 6 and o?
24
Let n = 12 - 10. Suppose -p - n*j + 29 = 4*p, -p = 4*j + 5. What is the least common multiple of 6 and p?
42
Suppose -5*g + 126 = -274. Suppose -4*j - 80 = -5*w - 9*j, 4*w = 4*j + g. What is the least common multiple of w and (55/(-33))/((-5)/54)?
18
Suppose -2*u + 4*u + 0*u = 0. Suppose 0 = -2*b - u*b + 12. What is the least common multiple of 21 and b?
42
Let f = -10975/4 - -2762. What is the common denominator of f and -79*(-6)/(-240)*-1?
40
Let g = -129 + 139. What is the lowest common multiple of 32 and g?
160
Suppose -11 = -v + 5*j, -v + 3*j + 27 = 3*v. Suppose x = v*x + 30. Find the common denominator of 2/x*(3 + 34) and -2/5.
15
Suppose -86 = -12*d + 46. Calculate the smallest common multiple of 2 - 2*3/(-6) and d.
33
Let s = -3039 + 27392/9. Calculate the common denominator of s and 61/12.
36
Let w(i) = i**3 - 4*i**2 - 6*i + 3. Let s be w(5). Let q be 105070/(-32) - (-3 - s). Let d = -3288 - q. Calculate the common denominator of -83/2 and d.
16
Let n = 43 - 39. Let a = -1621/5 - -18101/55. Calculate the common denominator of n/14 + (-64)/77 and a.
11
Let c = 27 + -24. Wh