 Let a be -3*(12/4 - k). What is the common denominator of a/60 + (-3)/15 and 45/4?
20
Let b(m) = 21*m**2 + 2*m - 1. Calculate the lowest common multiple of b(1) and 32/(-112)*(-4)/(12/21).
22
Let k = -1 - -4. Suppose 0 = -3*i - 2*h + 2, -k*h = 4*i - 1. What is the lowest common multiple of 146/24 + (-107)/1284 and i?
12
What is the lowest common multiple of 6 and (-4)/(-8)*4 - 38/(-2)?
42
Let c(j) = -j**3 + 3*j**2 - 2*j + 2. Suppose 2*f + 10 = 7*f. Suppose 0 = -f*h + 4*h - 24. Calculate the lowest common multiple of h and c(2).
12
Let y(g) = -9*g - 133. What is the least common multiple of y(-31) and 20?
1460
Let b be -32*(4 + (-27)/6). Let o = b - 9. What is the smallest common multiple of 10 and o?
70
Let v(u) = u**3 + 6*u**2 - 3*u - 14. What is the smallest common multiple of v(-4) and 20?
60
Let f = -1 + -4. Calculate the smallest common multiple of 30 - (10/(-5) - f) and 14/(-4)*(-3 + 1).
189
Suppose -1529*w + 1536*w = 252. Calculate the least common multiple of w and 72.
72
Let n = 59 - 65. Let l(w) = w**2 + 5*w + 5. Calculate the least common multiple of l(n) and 1.
11
Suppose -y + 56 = 3*y. Let g = 10 + 0. What is the lowest common multiple of g and y?
70
Suppose 3*z = -2*t + 25, -5*t + 0*t + 5*z = -125. Suppose 0*m - 5*m - t = 0. What is the least common multiple of 9 and 1/(4*m/(-176))?
99
Calculate the smallest common multiple of ((-165)/10)/(((-15)/(-8))/(-5)) and 22.
44
Let j be 10/80*(-45820)/(-3). Let b = 1920 - j. Calculate the common denominator of (31/6)/((-33)/9) and b.
66
Let h be (-2)/3*-1*(-117)/(-6). Let f(p) = -p + 17. What is the least common multiple of f(h) and 9?
36
Let v = -16896 - -29359. Suppose w = -3*y - v, -3*w = -3*y - 8*w - 12479. Let l = y + 58187/14. Find the common denominator of l and -75/22.
154
Let s(n) = -8*n - 11. Let h be s(-8). Let m = 103 - h. Calculate the smallest common multiple of 50 and m.
50
Let i = 167/59 - 594083/211574. Find the common denominator of 31/22 and i.
3586
Let f = 26 + -8. What is the smallest common multiple of 312 and f?
936
Suppose 0 = -4*m + o + 446, -346 = 4*m - 7*m - 5*o. What is the lowest common multiple of m and 70?
560
Let l = 13 + -1. Let h = -14 - -39. Suppose 16 = 3*j - 4*g, 0*g = 5*g - h. Calculate the least common multiple of j and l.
12
Let w = 45 + -24. Let s = w + -18. Calculate the smallest common multiple of (-4)/18 + (-448)/(-72) and s.
6
Let t = 459 + -454. What is the smallest common multiple of 6 and t?
30
Let r = 1583/120 - 57/5. Let m = -2266/5 + 465. Calculate the common denominator of r and m.
120
Let d(s) = -s**3 - 8*s**2 + 17*s + 26. What is the lowest common multiple of 8 and d(-10)?
56
Let k be ((-6412)/50)/(576/(-60)). Let a = -266/15 + k. Let i = -7/240 + -7561/4080. Calculate the common denominator of a and i.
136
Suppose 3795*p - 3798*p = -12. Let g = 14 + -12. Calculate the least common multiple of p and g.
4
Let t be (-12)/(-2270)*10/8. Let q = -13057/681 + t. What is the common denominator of -5/22 and q?
66
Let r(u) be the second derivative of u**5/20 - u**4/4 - 2*u**3/3 + u**2 - 4*u. Let h be r(4). What is the least common multiple of (2/1 - h) + 9 and 6?
18
Let o be (-46)/6 - (-4)/6. Let w = 20516/9 - 2276. Calculate the common denominator of w and (-4)/6 - o/105.
45
Let m be (53/(-48))/((-131)/(-681)). Let h = 75/131 - m. Find the common denominator of h and ((-411)/2192)/(3/17).
16
Let g = 1 - -11. What is the lowest common multiple of (-60)/36*-3*2/2 and g?
60
Suppose 3*a + 16 = -2*m, -13 = -2*a + 4*m + 3. Let v = a + 2. Calculate the common denominator of 47/32 and -1 - v - (-402)/(-54).
288
Suppose 0 = -9*j + 27 + 18. What is the lowest common multiple of j and 8?
40
Suppose -59*u + 128 = -57*u. Calculate the lowest common multiple of 8 and u.
64
Suppose 6*n - 11*n = 185. Let v = n + 48. Calculate the lowest common multiple of 2 and v.
22
Let q = 11 + -117. Calculate the common denominator of 38/(q/(-6) + -3) and -61/14.
154
Let u be 2/(-11) - 2162888/715. Let n = u + 6033/2. What is the common denominator of -43/2 and n?
10
Let t = 91 + -79. Find the common denominator of ((-1)/t)/((-4)/(-9)) and -1/2.
16
Suppose 0 = -0*v - 4*v + 640. What is the common denominator of -91/24 and v/(-8)*(-10)/(-24)?
24
Let g = 4361/78 - 482/13. Let j be (-6)/9 + ((-86)/6 - 2). Calculate the common denominator of g and j + 14 + 3/4.
12
Calculate the lowest common multiple of (-9)/12 - (261/(-12) - 5) and 130.
130
Let n(u) = -3*u - 10. Suppose 3*j - 3 = -5*d - 0, 0 = j - 3*d + 13. What is the smallest common multiple of 2 and n(j)?
2
Let f = -11597/360 - -161/5. Calculate the common denominator of 2/9 and f.
72
Let p = 51 + -29. Calculate the smallest common multiple of (-5 + 30/(-18))/(6/(-18)) and p.
220
Suppose 37 = w - 23. What is the common denominator of 25/w*(-4)/(-10) and 81/(-30)*-1 + 1?
30
Let d be (-12)/16*2342/27. Let a = d - -197/3. Let q = 185303/36648 - 3/4072. What is the common denominator of a and q?
18
Let t(d) = 8*d**2 + d - 2. Let j be t(4). Suppose 2*s = -22 - j. Let v = s + 763/10. Calculate the common denominator of 31/10 and v.
10
Let n be ((-4)/(-6))/(4/(-6)). Find the common denominator of (-4)/(-14) - 5/(-2) and n/(-3) + ((-1498)/96)/(-7).
112
What is the common denominator of ((-8)/120*183)/3 and -46/105?
105
Find the common denominator of 21/4 and -39*(-31)/192 - 7.
64
Suppose 20*v - 1217 - 183 = 0. What is the least common multiple of 49 and v?
490
Suppose 5*j - 4 = y, 2*j - 12 = -3*j + 3*y. Calculate the common denominator of (1644/(-8) - j)/27 and 63/2.
18
Let g = 3266 - 22815/7. What is the common denominator of g and 23/33?
231
Suppose -2*l = 2*v + 2, -3*l = v - 4 + 11. Suppose 3*z - 2*x = x - 207, 0 = v*x + 2. Calculate the common denominator of 3/14 and ((-3)/z)/(4/390).
28
Let w = 11 + -17. Let m(p) = -p - 13. Let h be m(w). Let v = h + 14. What is the lowest common multiple of 5 and v?
35
Let b = -4416/11 + 8773/22. Let s = 4808 - 76985/16. What is the common denominator of s and b?
176
Let z = -882 + 4369/5. Find the common denominator of z and 3*(0 - (-40)/(-36)).
15
Let t be (-353945)/132 - (-5 - (-171)/33). Let v = t + 2680. Calculate the common denominator of v and 39/4.
12
Calculate the smallest common multiple of 6/8 + (-34)/(-8) and 63.
315
Let d be (-1 - -10)/3*-3. Let l = d + 13. What is the common denominator of 115/(-12) + -2 + l and 99/20?
60
What is the common denominator of -53/6 and 16028/5880 + (-2)/(-5) - 3?
294
Let a = 169876/69 - 2462. Calculate the common denominator of a and -7/36.
828
Let d = 29563 - 29533. Calculate the lowest common multiple of d and 36/2*3/2.
270
What is the common denominator of 71/35 and (-21)/(-60)*(-1 + 12/20)?
350
Suppose 0 = -5*l - 5*x + 160, -2*x - 23 - 123 = -5*l. Calculate the smallest common multiple of 36 and l.
180
Calculate the common denominator of 200/(-25) + (-516)/(-61) and -5.
61
Find the common denominator of (-942)/144*(-12)/33 and 155/66.
66
Let x = 3/791 - -54573/1582. Suppose -4*d + 10*q - 6*q + 15108 = 0, -5*q + 18885 = 5*d. Let p = d - 30123/8. What is the common denominator of p and x?
8
Suppose -219*u + 243*u - 768 = 0. Calculate the least common multiple of u and 80.
160
Suppose 51 = 22*a - 125. Suppose -i + 132 = i. Let b = -47 + i. Calculate the smallest common multiple of a and b.
152
What is the common denominator of -1/29 and 6/4 - 450/40?
116
Let h = 1/996 + -4925/332. Let q = -32 + 29. Calculate the common denominator of (3/q)/(5/((-2325)/(-110))) and h.
66
Let c = -4 + -10. Calculate the least common multiple of 2 and (-139)/(-7) + (-2)/c.
20
Let j be 16 + (-3 - -2)*1. Let t = 1070 - 4343/4. Calculate the common denominator of j - 14 - 66/16 and t.
8
Let h(j) = -3*j + 6. What is the lowest common multiple of 9 and h(-3)?
45
Suppose 15*g = -27*g + 3276. What is the least common multiple of (-4)/(-5)*1*5 and g?
156
Let p be 3/(-6)*24/(-1). Suppose p*n = 11*n. Find the common denominator of -91/10 and (n + -1)*(-336)/66.
110
Suppose 5*p = -z - 11, -3*p - 5*z = -6 + 17. Calculate the common denominator of p/13 - (-444)/(-663) and 70/9.
153
Let n(c) = 789*c**2 + 5*c - 1. Let g be n(6). Let d = g - 1194269/42. Find the common denominator of d and -59/4.
84
Suppose 9*u - 525 + 39 = 0. Calculate the lowest common multiple of 24 and u.
