 459/24 and 30/414*120/32?
92
Suppose 0 = -4*j - n + 9, 0*n + 4*n = -2*j + 22. Let p be (-4214)/(-1296)*-10 + j. Let a = 5/324 + p. Find the common denominator of -61/20 and a.
20
What is the common denominator of -29/18 and (-7)/(-48)*(-1826)/(-847)?
792
Suppose -15*a + 11*a - i + 125 = 0, 0 = 2*a + i - 65. Calculate the smallest common multiple of 66 and a.
330
Suppose 100*k = 96*k + 840. Calculate the smallest common multiple of 42 and k.
210
Find the common denominator of -69/8 and (322/96 - 5)*6/9.
72
Let s = 452 - 3187/7. What is the common denominator of s and 3/703?
4921
Let x(d) = 3*d**2 + 14*d + 66. Let n(s) = -s**2 + 15*s + 27. Let f be n(17). Calculate the lowest common multiple of 7 and x(f).
805
Let g be (0 + -3)/(3/(-9)). Suppose 75 = -5*r - 2*y, 5*y - g + 1 = -r. What is the lowest common multiple of -3 - (r + (0 - 0)) and 18?
126
Calculate the common denominator of 346/(-24) - (-5)/(-15) and (-1)/(80/(-15) - -6).
4
Suppose -20*u + 295 = -19*u. Let b = u + -163. What is the lowest common multiple of b and 20?
660
Suppose -6*i + 2*i = -84. Suppose -19*a + i*a = 12. Suppose -22 = -3*m + 2*b, -3*m + 3*b = -18 - 3. What is the least common multiple of m and a?
24
Let q = 1 - 1. Suppose 0 = -2*p + i + 12, q = -2*p - 3*p - 5*i + 30. Calculate the common denominator of 25/8 and p/(-4)*296/(-132).
88
Find the common denominator of (-1)/6*((-230)/(-4) - -1) and (-425)/(-20) - (-2)/(-4).
4
Calculate the least common multiple of (2 + -13)/(70/(-350)) and 7.
385
Let z = -1779 + 17773/10. Let y be 1344739/186 + (-1)/6. Let k = y + -7229. What is the common denominator of k and z?
310
Suppose v + 5 = 2. Let d be ((-12)/9)/(2/v). Calculate the common denominator of -58/3 and (d + 0 + 59)/(-3).
3
Let z(d) = 2*d**2 + 30. Let u be z(0). Calculate the common denominator of -7/2 and 6/u - (-483)/(-40).
8
Let p = 466 + -1929/4. Calculate the common denominator of -38/333 and p.
1332
Let s = 108/29 + -257/435. Find the common denominator of 43/6 and s.
30
Let r = 18623/10 + -1859. Let y be (-13894)/(-6) + 1/3. Let c = y - 9315/4. Find the common denominator of r and c.
20
Calculate the common denominator of 93/9*(-2)/(-6) and 2542/656 - (-2)/(-4).
72
Let u(o) = -9*o + 338. Let m be u(0). Suppose 5*s = 2*s - 84. Calculate the common denominator of m/252 - (-8)/s and 19/2.
18
Suppose -216 = 18*x - 20*x. What is the least common multiple of 22 and x?
1188
Let n(y) = -3865*y**3 - 3*y**2 + 3*y - 1. Let s be n(1). Let w = s + 30889/8. Find the common denominator of w and 49/2.
8
Suppose 0 - 20 = -5*y. Suppose 4*j - 3*o - 48 = 0, y*o + 55 = 5*j - o. Let q(t) = -t**3 + 26*t**2 + 24*t + 87. What is the least common multiple of q(27) and j?
30
Suppose -171*m + 105 = -166*m. Calculate the lowest common multiple of m and 2.
42
Suppose 0 = 10*c - 25*c + 150. Calculate the lowest common multiple of c and 52.
260
Let f = 5443/18 - 302. Calculate the common denominator of -59/42 and f.
126
Find the common denominator of (189/(-13608))/((-3)/14) and 67/324.
324
What is the common denominator of (-32)/16 + (234/20 - 0) and 76/39?
390
What is the common denominator of -65/4 and ((-150)/(-800))/(24/(-10))?
64
Let v = 0 - 1. Let h = v + 23. Find the common denominator of 6 and (-2)/2 + (-82)/h.
11
Let x be ((-5)/4)/(4 - (-45)/(-20)). Let t = x + 121/42. What is the common denominator of 81/8 and t?
24
Let t be (-215)/3 + 4/(-12). Let g = t - -46. Find the common denominator of (370/50)/((-4)/6) and g.
10
Let z = 35 + -53. Calculate the common denominator of (52/z)/(8/(-6)) and 3/19.
114
Let m = -3882/5 - -779. Find the common denominator of (-6)/8 + (-322)/(-40) and m.
10
Let a(v) = -3*v - 23 + 3 - 3 + 4*v. Let u be a(11). Calculate the common denominator of -44/9 and u/(-24) - (-14)/(-44).
99
Let i be 7333731/12*(-1)/3. Let u = 205787 + i. Let c = -2054 + u. Calculate the common denominator of c and -25/4.
4
What is the smallest common multiple of 191 and (-3)/12 + (-6 - (-145)/20)?
191
Suppose -3*m + 45 = 5*u, 6*u - 5*m - 45 = u. Calculate the lowest common multiple of (-84)/9*(-3)/2 and u.
126
Let h = 80 + -77. Suppose h*t - 6 + 0 = 0, 0 = -5*q + 5*t - 5. What is the smallest common multiple of q and 43?
43
Suppose 1 = 5*f + 3*a - 3, 4*f = a - 7. Calculate the least common multiple of 4 and (5 - 6)*(f + 0).
4
Suppose m + 74 = p, -3*p - 4*m = -p - 172. Suppose 151*r - 141*r = 40. What is the smallest common multiple of r and p?
156
Let i(k) = -6*k**3 + k**2 - 1. Calculate the lowest common multiple of i(-1) and (2/1 - (-3 + 1)) + 2.
6
Find the common denominator of 1/144 and 47/4*78/117 + 6.
144
Let a = -67187/43 + 1563. What is the common denominator of a and -109/430?
430
Let t = 320/7 - 2726/63. What is the common denominator of (-115)/4*(4 - (-84)/(-20)) and t?
36
Let q be ((127785/100)/(-7))/((-78)/(-4)). Let d = q + 162/13. Find the common denominator of d and -70/3.
30
Let r(i) = 10 - 67*i**2 - 1 + 70*i**2 + 2*i. Calculate the lowest common multiple of 3 and r(0).
9
Let y be 30*(5/((-100)/28) + 3). What is the common denominator of 1/3 - (6 + (-35)/y) and -23/22?
176
Let v(r) = 12*r + 174. What is the smallest common multiple of v(-12) and 6?
30
Suppose -5 = 7*c + 2. What is the common denominator of (75/(-7) + c)*(-8)/(-320) and 3/14?
140
Suppose -16*k - 109 = -541. Calculate the smallest common multiple of -2 - -15 - -1*2 and k.
135
Suppose -3*b - 21 = -0*b. Let d(j) = j**2 + 5*j + 5. Let k be d(b). What is the smallest common multiple of -2 + 0 + k - -3 and 2?
20
Let t(u) = u - 56. Let j(r) = -3*r + 225. Let q(d) = 4*j(d) + 15*t(d). What is the least common multiple of 27 and q(-14)?
54
Let d = -12731345/162 + 78589. What is the common denominator of d and 35/162?
162
Suppose 22*u = 20*u + 34. Suppose u*i - 114 = 14*i. Calculate the common denominator of i and -52/57.
57
Let s = 4390 - 105425/24. Find the common denominator of 73/27 and s.
216
Let l(p) = 20*p**3 - p**2 - 2*p - 2. Let b be l(-1). Find the common denominator of (1/b*-1)/((-24)/(-532)) and -93/20.
180
Let w = 15130135/154 + -98247. Find the common denominator of w and 17/7.
154
Let n be (-20)/16 - 61/(-4). Calculate the smallest common multiple of (-28)/6*(-12)/n and 5.
20
Let g = -207233/22 - -9418. What is the common denominator of g and (-1092)/48 + (-4)/2?
44
Let m = 70 + -43. Let r = 37 - m. What is the lowest common multiple of 10 and r?
10
Let k = -94422/316925 - -10/12677. Calculate the common denominator of k and -32/3.
525
Let h = -3/671 - -53021/2684. Let r = 40300215513/14 - 643856395417475/223671. Let y = -2/10651 - r. Find the common denominator of y and h.
12
What is the smallest common multiple of (-36)/(-6) + (4 - 3) and 8?
56
Let t be ((-3)/8)/((-8)/(-10128)). Let u = -491 - t. Find the common denominator of (-4 + 2)/(8/(-46)) and u.
4
Let p(x) = x**3 - 6*x**2 + 6*x - 2. Let h be p(5). Let o = 14 - 114. Find the common denominator of 30 and -1 + o/(-32) - h.
8
Let c = 17 + -8. Suppose 2*z - 5*i - 26 = -z, -5*z = 4*i - 31. Suppose -3*x - 32 = -z*x. What is the lowest common multiple of c and x?
72
Let n(o) = -4*o + 2. Let i = -3 - -6. Suppose 5*g = i*a + 2*g - 6, -3*g - 14 = a. What is the least common multiple of 8 and n(a)?
40
Let m be (-15182)/(-1260) - (-42)/(-147). Let z = -224/45 + m. Find the common denominator of z and 149/18.
126
Suppose 4*d = 5*f + 27, 0 = -d - 2*f - f + 11. Suppose -8*b = -6*b - 14. Calculate the least common multiple of d and b.
56
Let q be 1646*(20/8 - 2). Let t = -321 + q. Calculate the common denominator of (-4)/20 + t/(-140) and -123/20.
140
Suppose 164 = 10*x - 16. Suppose 0*k = 4*k - 3*z - 89, 0 = -k - z + 17. Calculate the smallest common multiple of x and k.
180
Let c be (-3)/6 - ((-903)/186)/7. Let y = -123/806 - c. What is the common denominator of y and 71/20?
260
Suppose 2*v = n + 29, -1396*v - 4 = -1400*v - 4*n. Let y(m) = -m**3 - 4*m**2 + 9*m + 2. What is the least common multiple of y(-6) and v?
20
Let s(x) = x**2 - 2*x - 1. Let r = 12 + -13. Let k(d) = -d**3. What is the smallest common multiple of s(4) and k(r)?
7
What is the common denominator of (-1 + (-188)/(-192))/(2 + (-3834)/1926) and -1 - (-2 - (-122)/28)?
336
Calculate the least common multiple of (79 + 57)*(-6)/(-8) and 9.
306
Let u = -677 - -7465/11. Suppose 5 = 3*q +