 and ((-6)/40)/(1644/275 + -6)?
40
Let x = -3196 - -86267/27. Calculate the common denominator of -35/108 and x.
108
Let m = 31 + -29. Suppose 0 = 4*q + 5*t - 57, 3*q - 5*t - 15 = -m*q. Suppose b - 9 - 3 = 0. Calculate the smallest common multiple of q and b.
24
Let k = 4233 + -20937/5. Let i = k - 49. What is the common denominator of i and -21/2?
10
Find the common denominator of 91/20 and (180/(-500))/(84/270).
140
Let v be (335/10)/(1/2). Let b = -63 + v. What is the smallest common multiple of b and 14?
28
Let k(y) = -y**3 + 9*y**2 - 9*y + 18. What is the least common multiple of 11 and k(8)?
110
Find the common denominator of 8/16*(6/3 + 7) and 55/112.
112
Find the common denominator of 83/90 and (-232)/(-60)*100/(-96).
180
Let f be ((-30)/(-25))/(6/80). Let c be 0 + -1 + -2 + f. Let u = -5 + c. Calculate the smallest common multiple of 20 and u.
40
Let i be (4/((-4)/3) + -1)*-3. Suppose 23 = z + i. Suppose -4*t + 5 - 1 = 0. Calculate the lowest common multiple of t and z.
11
Let k = -2981154629/22 - -135483349. Let r = 23684 + k. What is the common denominator of r and 101/52?
572
Let r(d) = d**2. Let y(u) = u**3 - 2*u**2 + 10*u - 7. Let i(t) = 6*r(t) - y(t). What is the smallest common multiple of 3 and i(6)?
57
Let l = 326 - 152. What is the smallest common multiple of l and 16?
1392
Suppose 3*h = 4*n - 37 - 20, -4*n - 4*h = -64. What is the smallest common multiple of 8 and n/((-1 - 28/(-16))*2)?
40
Let c be 40*-1*(10/4)/5. Calculate the common denominator of (3 + 108/c)*(-40)/(-6) and 65/3.
3
Let d = 7/118 - -2032/59. Let j = 302/15 + -2671/120. What is the common denominator of j and d?
8
Let o = -71 - -103. Let c = -28 + o. Let s = 15 - c. What is the least common multiple of 9 and s?
99
Suppose s - 3*n - 22 = 0, 4*n = s + s - 34. Let x = s + 6. Let k = -4 + x. What is the smallest common multiple of k and 3?
9
Let w(t) = -t + 7. Let d be (4/(-8)*4)/(-1). Calculate the smallest common multiple of w(d) and 3.
15
Let z = -218 + 7417/34. Calculate the common denominator of z and (-3)/2*23/(-1863)*393.
306
Let v be 21/9*32/13272. Let f = 64693/1422 + v. What is the common denominator of -49/8 and f?
8
Suppose -4*u + 53 = -3. What is the least common multiple of (-10)/(-4)*456/30 and u?
266
Find the common denominator of -26/159 and ((-3)/12 + 735/3276)*-61.
2067
Let p be 4/14 + 2660619/(-378). Let h = 7036 + p. Calculate the common denominator of h and (-189)/(-40)*8/6.
90
Suppose 5*h - h - 4108 = 0. Let k = -3/92515 + 562213673/555090. Let c = k - h. Calculate the common denominator of c and 19/16.
48
Let w(s) = 4*s + 11. Let a = 14135/7 - 2026. Find the common denominator of w(-8) and a.
7
Let b = 841/147 - -11/98. Let j = b - 61/12. Find the common denominator of 1/4 - (-438)/(-40) and j.
20
Let o = -56 - -12. Find the common denominator of (1/(-2))/(o/781) and 41/14.
56
Let o be 2/4*(5 - 5). Suppose -3*u - 925 = 4*w, o*w + 693 = -3*w - 2*u. Find the common denominator of 151/12 and w/36 + 10/(-45).
12
Calculate the smallest common multiple of 8 and 6 - (-5)/(15/18).
24
Let i be 5*((-2)/5)/1. Let q be 3498/(-48) + i + 5. Let h = q - -385/8. Calculate the common denominator of h and 17/10.
20
Let m = -17287/285 + 1060/19. Let y = -4761 + 99950/21. Find the common denominator of m and y.
105
Let n = -233765/214414 - -36/2281. Calculate the common denominator of 48 and n.
94
Let w(c) = -c**3 - 4*c**2 - c. Let s be w(-3). Let b be (2 - -1) + s - -1. What is the least common multiple of 1 and (-4)/2*3/b?
3
Let x be (-2433)/(-1215) + 1 - 3. Let o = -29593/11340 + x. Let c = o + -92/7. What is the common denominator of -13/22 and c?
44
Let i = -1557 - -1761. Calculate the least common multiple of i and 12.
204
Suppose 23*i = -12*i + 2100. Calculate the least common multiple of 24 and i.
120
Let o = 20 - 16. Calculate the smallest common multiple of (-13 - -10)/((-3)/o) and 11.
44
Let g(j) = -j**3 - 7*j**2 + 79*j + 27. Suppose 3*n + 3 = 9. Calculate the least common multiple of n and g(-13).
14
Suppose -219 - 1 = 11*j. Calculate the common denominator of j and -76/99.
99
Let t = -18964 - -417117/22. Find the common denominator of -91/426 and t.
4686
Let s = -3103/3528 + 120/49. Find the common denominator of s and 145/126.
504
Suppose -k - 21 = -4*r + 6, r + 2*k - 9 = 0. Calculate the lowest common multiple of 5 and r.
35
Let x be 190*-2*(-1)/4. Let z = x - 63. Suppose z = f + 3*f. Calculate the lowest common multiple of f and 22.
88
Let m be (-1)/(((-4)/(-11))/4). What is the common denominator of -29/2 and (-178)/(-24)*(-2)/m?
66
Let m = 2162361 + -25977515/12. Let c = 2440 + m. Let z = 11563/12 - 962. Find the common denominator of c and z.
12
Suppose -52 = -4*a + 5*b, b = 12 - 8. What is the least common multiple of a and -3 + 85 - 2 - 2?
234
Let p = 25 - 20. Suppose 8*j - p*j - 3 = 0. Calculate the least common multiple of 3 and j.
3
Let l = -126 + 231. Let t = 112 - l. Calculate the least common multiple of 9 and t.
63
Find the common denominator of (-134)/16 + 28/7 and 13/66 + 20/30.
88
Let i = 4347385/748 + -100799/17. Let n = 1068/11 + i. Calculate the common denominator of n and ((-306)/56)/((-51)/(-119)*2).
8
Find the common denominator of -43/100 and (-2)/11 + 4017/10296.
600
Let p = 6 - -27. What is the common denominator of (-22)/p + 259/114 and ((-2)/(-8))/((-44)/1001)?
304
Calculate the common denominator of 10/8*10/75 and 4/((-360)/147) - 0.
30
What is the common denominator of 134/4 + -4*15/(-20) and -97/18?
18
What is the common denominator of ((4743/(-34))/(-31))/(22/8) and -71/224?
2464
Let v be 250*((-1 - (-1)/2) + 0). Let r = -116 - v. Calculate the smallest common multiple of r and 8.
72
Suppose -m - 28 = -5*m. Let p be 65/m + (-2)/7. Let a(f) = f**2 - 7*f + 4. Calculate the smallest common multiple of 14 and a(p).
154
Suppose 5 = 4*v + 1. Let r be 3/(-1*(-1)/1). Suppose -x = -v - r. Calculate the least common multiple of 2 and x.
4
Let r = 1363/17 - 2917/153. Let u = 905/18 - r. Calculate the common denominator of u and -17/54.
54
Let r be (0 - 4636/(-14)) + 0. Let f = -329 + r. Find the common denominator of 89/8 and f.
56
Let f = -701 + 731. What is the least common multiple of f and 12?
60
Let f = -2093 - -2251. Calculate the least common multiple of 22 and f.
1738
Let d = 18 + -15. Suppose -5*o + 47 = t + 2*t, 5*t = d*o + 67. What is the least common multiple of ((-14)/t)/(2/(-10)) and 5?
5
Suppose 2*b = -2*b + 2*w + 10, 3*w = b. Suppose -5*f = -2 - 3. Suppose -4*n = 8, 5*n - f - b = -y. What is the smallest common multiple of 18 and y?
126
Suppose 4*h - 77 = 3*x, 3*x - 2 = 1. Calculate the smallest common multiple of 320 and h.
320
Suppose 184 = w + 3*w + 4*g, 0 = 2*w - g - 98. What is the lowest common multiple of 3/12*-2*w/(-4) and 4?
12
Let i = -16081/80 - -201. What is the common denominator of i and 87/40?
80
Let z = -12 + 36. What is the lowest common multiple of 1 and (-46)/(-8) - (-5 - (-138)/z)?
5
Calculate the common denominator of (-20401)/5520 + 4/30 and 35/6.
48
Let j be (50162/105)/(84/(-5)). Let d = 263/9 + j. Calculate the common denominator of 37/18 and d.
126
Let d(r) = r**3 - 5*r**2 - 6*r. Let y be d(6). Suppose y = -h + 7 + 13. Calculate the least common multiple of h and 10.
20
Suppose 0*t - 10 = -t. Suppose 0 = 7*p - 17*p + 70. Calculate the lowest common multiple of p and t.
70
Suppose -3*j - 4*v = -49, j - v = 7 - 0. Calculate the least common multiple of 2/(-6) + 84/9 and j.
99
Calculate the common denominator of (47/10 - 5)*340/(-336) and -81/56.
56
Let i(l) = 5*l - 5. Suppose 4*u = 5*x - 2*x + 17, 5*u = 3*x + 25. Find the common denominator of i(u) and (-30)/(-56) + 6/(-21).
4
Suppose 139 - 73 = -v. Let z = 21936/7 - 3126. Find the common denominator of 0 - ((-39)/v - (-4)/(-8)) and z.
77
Let i = -12027/130 + 1152/13. Let x = 4752 + -104563/22. What is the common denominator of x and i?
110
Suppose 423 = 7*f - 340. What is the least common multiple of 3 and f?
327
Let a(z) = z**2 + 14*z + 19. Let u be a(-10). Let w = u + 28. Calculate the lowest common multiple of 5 and w.
35
Let t = -147 - -171. Calculate the lowest common multiple of t and 18.
72
Let w(y) = -y**3 + 17*y**2 + 21*y - 42. Let l be w(18). What is the common denominator of 7/32 and (l - 15) + 174/80?
160
Suppose 4 