.
1280
Let g = 10 + -1. Let m = g - 3. Suppose 10 + 4 = 2*c - 3*o, -5*c - 2*o = -54. Calculate the least common multiple of m and c.
30
Suppose -2*y + 32 = 3*o, 4*o - 15 - 1 = 4*y. What is the common denominator of 31/16 and o/(-44) + (-1502)/88 + 4?
16
Let v(t) = -3*t + 136. What is the smallest common multiple of 132 and v(38)?
132
What is the common denominator of 127/24 and ((-31)/120)/(4 + 33/(-6))?
360
Let u = 217/30 + -19/3. Calculate the common denominator of u and (-865)/210*3 - (-2)/(-14).
10
Let h be -1 - 1 - (-5 - -1 - 31). Let g = h - 32. What is the lowest common multiple of 11 and g?
11
Let g = -9 + 12. Suppose -5*k = -w - 347, 93 + 108 = g*k - 3*w. Suppose 3*v + 0*s = s + k, 94 = 5*v + 4*s. What is the smallest common multiple of 4 and v?
44
Calculate the common denominator of 65/4 and (235/(-30) - 2) + (-9)/(-12).
12
What is the common denominator of -83/974 and ((-184)/480*3)/(-1) + 1?
9740
Let v(k) = -2*k - 23. Let t be v(-12). What is the common denominator of (-391)/(-102) + (-2 - (t + -1)) and -79/10?
30
Suppose -443 = -3*y - 1379. Let i = -868/3 - y. Suppose 0*m = m - 34. What is the common denominator of i and m?
3
Suppose -43 = -y + 44. Suppose p = m + 33, m + 42 = 4*p - y. What is the smallest common multiple of 10 and p?
160
Let b be 2/((65/(-50))/(-13)). What is the common denominator of (-236)/b*(5/(-11))/(-5) and -87/50?
550
Let n = -337657/18 - -18751. Let u = 242/195 + -151/26. Calculate the common denominator of u and n.
90
Suppose 0 = -124*i + 4624 + 1080. Let d = 1 - -3. What is the smallest common multiple of i and d?
92
Let a be 1*318*2/4. Let k(q) = -7*q - 6. Let r be k(-6). Calculate the common denominator of 21/4 and a/(-45) + (-6)/r.
20
Let k be ((-30)/(-12))/(3/6). Let j(s) = -s**2 + 4*s + 9. Let o = 4 + 6. Calculate the smallest common multiple of j(k) and o.
20
Let o be 130/(1 - (-2)/(-6)). Suppose k = 5*m + o, 5*m + k = 3*m - 71. Find the common denominator of m and 1*-3*5/(-4).
4
Suppose -3*k + 17 = 4*b - 2, b = 4*k - 19. Let y be (-1)/(((-6)/(-69))/b). Let c = y - -193/10. Find the common denominator of c and -7/10.
10
Let j = 80 + -71. Suppose -j*k + 6 = -8*k. What is the least common multiple of 6 and k?
6
Calculate the common denominator of 7 - ((-10)/30 - 2148/(-315)) and -65/4.
140
Let l = -9 + 10. Suppose -16 - 24 = -4*n. Suppose 2*k - 2 - n = 0. Calculate the least common multiple of l and k.
6
What is the least common multiple of 35 and (0 - 35/25)/((-6)/150)?
35
Let w be -1 + -2 - (-3 + -4). Let b(t) = -26*t + 24*t - 5*t**3 + 4*t**3 - w*t**2. What is the smallest common multiple of 20 and b(-4)?
40
Suppose -5*f = j - 874 - 1612, 0 = -4*f + j + 1996. Let d = -3913/8 + f. Let u = -9983/18 + 554. What is the common denominator of u and d?
72
Let o(x) = -x**2 + 9*x + 3. Let k be o(9). Calculate the common denominator of 19/4 and k + (21/24 - 2).
8
What is the least common multiple of 23 and (-2)/3*10794/(-28) + -4?
253
Suppose -9*n + 6*n - 234 = 0. Calculate the common denominator of (-12)/n - 1268/(-208) and (-52)/(-6)*-1 + -1.
12
Suppose -513 = -5*y + r, 3*r - 3 = -12. What is the least common multiple of y and 170?
510
Let q = 27 - 13. Let m(o) = o**3 + 10*o**2 + 12*o + 27. Let u be m(-9). Suppose 0 = -u*j + 2*j - 4. Calculate the lowest common multiple of q and j.
14
Suppose -3*s + 4 + 62 = 0. Suppose -111 - 64 = -5*h. What is the lowest common multiple of (-2 + h - -1) + -2 and s?
352
Suppose 21*t = -5*j + 16*t + 1145, j - 249 = 3*t. Calculate the least common multiple of j and 12.
468
Let d = 2231/196 - 31/49. Find the common denominator of -87/20 and d.
20
What is the common denominator of ((-168)/(-245))/(-12)*(-98)/6 and 31/24?
120
Suppose -2 = -3*z + x + 55, x + 97 = 5*z. Let o = 22 - 14. Suppose -2*h - 4*a + o = 0, a = 1 - 0. Calculate the lowest common multiple of h and z.
20
Let l(b) = b**3 - 13*b**2 - 8*b - 17. Let t be l(13). Calculate the common denominator of (14/(-9) - -2)/(t/(-528)) and -29/24.
264
Let y be ((-16)/8)/((-4)/(-22)). Let j(p) = p + 11. Let u be j(y). Suppose 4*r - m - 36 = u, -m - 2*m - 4 = r. What is the smallest common multiple of 8 and r?
8
Let l be 3 + 302/48*-809. Let z = l - -5090. Calculate the common denominator of z and -58/57.
456
Suppose -n = 5, -b - 81 - 16 = 5*n. Find the common denominator of 507/b + (-30)/(-18) and -87/4.
8
Let t(g) = g**3 - 7*g**2 + 4. Suppose 44 + 396 = 5*d. Suppose -5*p + d = 8. Calculate the least common multiple of t(7) and p.
16
Suppose -m = 3*m + 200. What is the common denominator of m and (201/75)/(8/(-10))?
20
Suppose 38 = 5*y - 3*j, 6*y - y - 2*j - 37 = 0. Suppose 3 - 9 = 2*i. Let v = 11 + i. Calculate the lowest common multiple of v and y.
56
Let g = 2/36151 + -5386643/2602872. What is the common denominator of 115/14 and g?
504
Let r be ((-301)/(-21))/((1672/522)/4). Let d = -252/19 + r. Find the common denominator of -1/4 and d.
44
Suppose -394 = -5*o + l - 51, 0 = 4*o - 5*l - 287. What is the lowest common multiple of 16 and o?
272
Suppose -2*z - 10 = -4*z. Suppose 5*w + 3*m - 37 = z*m, -w - 4*m = -25. What is the lowest common multiple of w and 33?
99
Find the common denominator of ((-2864)/240)/((-7)/(21/6)) and -103/50.
150
Calculate the common denominator of ((-58)/14)/(110/77) and (-1 - 2 - (-334)/48) + 1.
120
Let p(v) = v + 2. Let o be p(-5). Suppose -5*c + 24 = -4*c + 5*s, 0 = -5*c - 3*s + 76. Calculate the smallest common multiple of 4/((-6)/o) + 6 and c.
56
Let j be 1212/1*4/3*1. Let u = j - 6403/4. What is the common denominator of -87/16 and u?
16
Let z = 163 + -158. Let b(v) = -v**3 + 15*v**2 - 15*v + 15. What is the lowest common multiple of z and b(14)?
5
Suppose -2*a = -5 + 1. Let v be (-1 + -110)/(-1 + (-5)/10). Let o = v - 72. Calculate the least common multiple of o and a.
2
Let y be (-10)/(-2)*10302/10. Let b = y + -51403/10. What is the common denominator of -69/128 and b?
640
Let v(i) = i**3 + 9*i**2 + 8*i + 3. Suppose 3*s - 6 = -0*s. What is the lowest common multiple of v(-8) and 7 - (0 - s - -5)?
12
Let j = 13 + -7. Calculate the common denominator of -3/98 and ((-21)/j + 2)/((-63)/385).
294
Let y = 5215 - 83507/16. What is the common denominator of 86/(-32) + (101 - 95) and y?
16
Let j(v) = 34*v + 212. Calculate the least common multiple of j(-6) and 1518.
6072
Suppose 71*q - 230 = 61*q. What is the least common multiple of q and 8?
184
Find the common denominator of -6/5 and (-12)/18*2568/(-640).
40
Suppose 87*u - 108*u = 567. Find the common denominator of -1/8 and u.
8
Suppose -74*s + 1090 = -390. Calculate the lowest common multiple of s and 78.
780
Suppose -2*f - 4*j + 32 = 0, -j - 2 = -f + 4*j. What is the smallest common multiple of -1 + 0 - (-7 - 0) and f/5 - (-2)/(-5)?
6
Suppose -12 = -3*a - 0*a. What is the smallest common multiple of a and (-35)/(-105) + 34/6?
12
Let a(l) = -14*l**3 - 2*l**2 + 3*l - 2. Let z be a(2). Let w = 929/8 + z. Calculate the common denominator of ((-148)/(-90))/((-12)/15) and w.
72
Let f = 9 + -25. Let r = 31 + f. What is the lowest common multiple of r and 12?
60
Let l be (-4509)/(-891) - (0 - 0)/(-1). Let b = l - 19/6. What is the common denominator of b and 9/8?
264
Let f = -99 - -121. What is the lowest common multiple of f and 182?
2002
Calculate the least common multiple of 30 and 672/18 + (-4 - 56/(-21)).
180
Let v = -89 - -187. Calculate the common denominator of ((-111)/4)/(-7*(-21)/v) and -9/14.
14
Let y(j) = -10*j + 30. Let v be y(9). What is the common denominator of 202/v + (-2 + 0 - -2) and 11/51?
510
Suppose -4*x + 23 + 9 = 0. What is the lowest common multiple of 84/10 - 12/30 and x?
8
Let f(i) = 9*i**2 - 2*i + 1. Let p be f(1). Suppose p = 5*v + 38. Calculate the common denominator of ((-232)/(-42))/(4/v) and 19/2.
14
Let t be (-1129)/5 - (-1 - -2). Let f = t + 24903/110. Find the common denominator of f and -5 - 1122/(-60) - 9.
110
Let w = 54777/14 + -3917. Calculate the common denominator of w and -71/98.
98
Find the common denominator of ((-2)/(-30))/(132/9020) and -2 - 244/(-42) - 2.
63
Let n(l) be the third derivative of l**4/4 - 2*l**3 + 2*l**2. Let a = -2 - -6. Calculate the smallest common multiple of 18 and n(a).
36
Calculate the lowest common multiple of 64 and 478/12 + (-2)/(-12).
320
Suppose -z + 4*z = 3*f + 45, 2*z - 4*