 = 5914*g**2 + 1. Let i be t(-1). Let z = 4263/16 - 267. Calculate the common denominator of z and (2/10)/(286/i).
176
Suppose 4*v + 16 = -r, -5*v + 3*r - 41 = -r. Suppose 20 = 4*s + w, -2*s + 3*w - 24 = -5*s. What is the smallest common multiple of (-3)/(-6)*22*(-4 - v) and s?
44
Let p(u) = -u**2 + u + 1. Let m be p(0). Find the common denominator of -2 + m + (-324)/30 and 6/11.
55
Let h(s) = -2 + 0 + 3*s + 0 + 4. Let g be h(1). Suppose -3*t - 19 - g = -3*q, -4*q + t + 26 = 0. What is the lowest common multiple of 14 and q?
42
Find the common denominator of (1/(-7))/(438/(-87) + 5) and 7/89.
623
Calculate the common denominator of -21/16 and 3 - -6 - (-28310)/(-3140).
2512
What is the common denominator of 73/((-8 - -5) + -5) and 81/20?
40
Let d be (-5)/(3/(-2)*4/6). Let x = d - 3. Calculate the smallest common multiple of 10 and x.
10
Let w = -8 - -13. Suppose -18 = -3*m + 4*m + w*c, 0 = -4*m + 3*c - 72. What is the common denominator of 1 - ((-255)/m + 2) and -85/6?
6
Suppose -3*n - 4*x = -n - 30, 4*x - 5 = 3*n. Suppose -23 = -o + 10. What is the smallest common multiple of o and n?
165
Let y = 1083/11 + -20957/198. Let q = -34589/8 + 4329. Find the common denominator of q and y.
72
Suppose 0 = -9*o + 5*o - 116. Let d = 202/7 + o. Find the common denominator of -32/13 and d.
91
Suppose 1514 = 42*v + 254. Calculate the least common multiple of v and 30.
30
Suppose -a - 2 + 1 = 0, 4*x = -2*a + 46. Suppose -2*w + 2*j + 7 = 1, 0 = 4*j - x. What is the lowest common multiple of w and 9?
18
Let x be (-8610)/(-232)*176876/18. Let q = x + -364684. Let g = -14/29 - q. Find the common denominator of 9/4 and g.
12
Let b = 20 + -13. Suppose u = 5 - b. Calculate the common denominator of 17/20 and 745/210 - u/3.
140
Let t = 238071/805 - -227/115. Let p = 293 - t. Calculate the common denominator of -37/19 and p.
133
Suppose 1 = -2*u + 1. Suppose u = -21*a + 9*a + 288. Calculate the least common multiple of 6 and a.
24
Let p = -440 + 463. Calculate the lowest common multiple of 138 and p.
138
Let v = 1/18 + 136/9. What is the common denominator of (-356)/(-128) + 0/(3 + -1) and v?
96
Let p = 400 - 229. Let s = 1219/7 - p. Find the common denominator of 4/(-8)*(-1)/2*61 and s.
28
Suppose 8 = 2*m, 0 = 2*r - 0*r - 3*m + 6. Suppose -y + 5 = r. Calculate the least common multiple of y and 14.
14
Let c = -386 + 77. Let m = 1205/4 + c. Find the common denominator of (-13)/(-30)*(-81)/6 and m.
20
Let r be -1 + (-15)/162*(-55851)/782. Let g = -3/1564 + r. Find the common denominator of 121/36 and g.
36
Suppose -4*l + 7 + 1 = n, 2*l - 4*n = 22. Suppose 4*w = -x + 36, -w = l*x - 8*x + 138. What is the smallest common multiple of 24 and x?
168
Let h = 276 - 261. Calculate the smallest common multiple of 27 and h.
135
Calculate the common denominator of ((-136)/(-15300))/(4/455) and 26/81.
810
Let r = 1494 + -1386. What is the lowest common multiple of 324 and r?
324
Suppose 0 = -12*c + 11*c + 82. What is the common denominator of 131/12 and 4/5 - c/1480*2?
444
Suppose 2*w + 24 = 5*w. Suppose 0 = 12*l + 13*l - 50. What is the smallest common multiple of w and l?
8
Let x be (-60)/36 - (-4)/6. Calculate the common denominator of x/(1/(-2)) - (-755)/(-100) and 63/16.
80
Suppose 4*n = -c + 923, 0 = 5*c + 25 - 0. What is the least common multiple of n and 16?
464
Suppose -3*w - 32 = v, -5*v - 78 = -3*v - w. Let u = v + 66. Let r = -14 + u. What is the lowest common multiple of r and 16?
112
Suppose 2*x - 9*x + 105 = 0. Suppose x*r = -2*r + 68. What is the least common multiple of r and 16?
16
Let j = 4130 + -470833/114. What is the common denominator of j and -77/152?
456
Suppose -9*x + 594 = 2*x. Calculate the least common multiple of 36 and x.
108
Suppose 0 = 7*y + 83 - 209. Let r(f) = 8*f**3 - 2*f**2 + 2*f - 1. Let o be r(1). Let h(m) = m**2 - 8*m + 9. Calculate the least common multiple of h(o) and y.
18
Let r = -5911/34 - -174. Find the common denominator of 11/((-44)/3) - (-25)/(-16) and r.
272
Let x(w) = -11*w + 2. Let c be x(5). Find the common denominator of -61/12 and 1 - c*1/36*3.
12
Let l = 36 - 1. Suppose 0 = -p + 3*r + 2 + 2, -5*r = 4*p - 16. Suppose p*x + x = 5*n + l, 2 = 2*n. What is the lowest common multiple of x and 22?
88
Calculate the common denominator of ((-2)/16*4)/((-60)/134) and -85/54.
540
Let r be -2*(-7)/((-21)/(-6)). Suppose -60 = -r*t - 4. Let w(l) = -l**3 + 5*l**2 + 2*l - 4. Calculate the least common multiple of t and w(3).
140
Let m = 66895723/49 - 1365114. Let a = 2236221/21560 - m. Let s = a + -39/40. Calculate the common denominator of s and 79/8.
88
Calculate the least common multiple of 42 and (105/(-25))/(5/(-175)).
294
Let h(u) be the third derivative of 5/24*u**4 + 1/15*u**5 - 6*u**2 + 0 + 2/3*u**3 + 1/120*u**6 + 0*u. Calculate the smallest common multiple of h(-2) and 18.
18
Let h = -78 + 83. Calculate the smallest common multiple of 6 and 2/5 + (48/h - 7).
6
Suppose 120*s = 2448 - 528. Suppose -8*g = -3*g - 10. Calculate the least common multiple of g and s.
16
Suppose 0 = 58*t - 60*t + 60. What is the smallest common multiple of t and 20?
60
Calculate the common denominator of (-2)/3*2/8*-81 and (-65)/(-21) - 2/3.
14
Let y = -818 - -998. What is the lowest common multiple of y and 24?
360
What is the least common multiple of 838 and (-2)/(-16) - (1068/96 + -15)?
1676
Suppose 3*j = -4*s + 1824, 5*j - 419 = -4*s + 2629. Calculate the common denominator of (-4)/6*(-13)/(-3) and (-1 - 12/(-7))*j/90.
63
Let m be (-14)/(-28) - 10/(-4). Suppose m*p - 2*n - 18 = n, -4*p + 5*n = -23. Let r = 14 - 8. What is the least common multiple of p and r?
42
Let y = 30/89 - -5695/267. Let n be ((-1)/168)/(14/140). Let i = 695/84 - n. What is the common denominator of y and i?
3
Let h(y) = 2*y - 8. Suppose 5 = -5*p, 5*c = -5*p + 153 + 127. Calculate the least common multiple of h(9) and c.
570
Suppose 0 = -5*z + z + 24. Let q(i) = i**3 + 11*i**2 + 2*i + 7. Let y be q(-11). Calculate the smallest common multiple of z and (3 - y/(-6))/((-1)/(-8)).
12
Let t = -26241 + 1259485/48. Calculate the common denominator of t and 25/24.
48
Let n(f) = -2*f**2 - 4*f - 4. Let i be n(-3). Calculate the common denominator of (-4)/i*(-38)/(-4) and (-3)/2 + (-36)/60.
10
Find the common denominator of (-39)/(-27) - (-12 + 6) and 9/3 - (-405)/(-70).
126
Let r = -42 - -70. Suppose -3*o = -3*t - 2*o + r, t - 3*o = 4. What is the least common multiple of t and 9?
90
Suppose -2*c + 5 = 5*a - 7, -3 = a - 5*c. Suppose -a*t + 0*t = -4. Calculate the lowest common multiple of t and 6.
6
Let h(a) = -104*a - 29. Calculate the lowest common multiple of 45 and h(-1).
225
Let a = 76 - 52. Find the common denominator of ((-48)/10 + 5)*(-395)/a and -68/15.
120
Let x = -60 + 75. Suppose -x*i + 17*i - 8 = 0. Calculate the lowest common multiple of 4 and i.
4
Let h = 6482 - 90833/14. Let m = 101769/16 + -6358. Find the common denominator of h and m.
112
Let f = 11 - -5. Let k = 93 + -91. Calculate the lowest common multiple of k and f.
16
Let m be -75*(485/15 + 4). Let x = m + 16385/6. Find the common denominator of (2 - 19/6)*-21 and x.
6
Let y = -33 - -69. Let j(v) = v**3 + 8*v**2 + 5*v + 2. Calculate the smallest common multiple of j(-3) and y.
288
Let s = 174 + -172. Let w = -2/297 + 68/297. Calculate the common denominator of w and s*(-23)/(-18) - (-10)/45.
9
Find the common denominator of (-511)/(-70)*25/45 and ((-1)/4)/((-3)/176).
18
Let q = -10 - -33. Suppose -7*d + 47 = -q. What is the least common multiple of 9 and d?
90
Let f = 256 + -160. What is the smallest common multiple of f and 24?
96
Let v = 702 + -527. What is the smallest common multiple of 20 and v?
700
Suppose -72*v = -69*v - 273. What is the lowest common multiple of 104 and v?
728
Suppose -4*s + 3 + 8 = -v, -2*v = -3*s + 7. Suppose 0 = -5*q + 2*q + 2*a - 1, 0 = -5*q - 5*a + 40. Calculate the smallest common multiple of q and v/2*8 + 0.
12
Let y(a) = 2*a - 2. Let r be y(3). Let q be (-296)/6 - 24/36. What is the smallest common multiple of (-460)/q - r/(-5) and 28?
140
Let d = -2/1025 - 39947/14350. Let h be 8/(-20) + (-66)/(-15). Calculate the common denominator of (-1)/h + 39/15 and d.
140
Let w = 5 + 17. Suppose w*q + 7 = 23*q. What is the least common multiple of 3 and q?
21
Let a = -29 - -46. Let m(q) =