380
Suppose -o + 5 + 73 = 0. Calculate the common denominator of (o/75 + -1)/((-4)/565) and 95/12.
60
Suppose -o + 6*t = 2*t - 39, 5*o - 179 = 4*t. What is the lowest common multiple of o and 50?
350
Let p be (10 + -10)/(1 - -1). Suppose -3*n + 10 = -3*k + 2*k, p = -4*n + 3*k + 15. What is the smallest common multiple of 2 and n?
6
Suppose 18*f + 788 = -1066. Let m = 118 + f. What is the least common multiple of 3 and m?
15
Let u be (-56596)/18 + (-6)/(-27). Let q be (1318737/280)/(3/2). Let k = q + u. What is the common denominator of k and 43/10?
20
Let p = -10/7693 - -1438991/307720. Let g = 9/20 + p. What is the common denominator of -39/4 and g?
8
Suppose 32*d - 35*d = -147. Calculate the lowest common multiple of 7 and d.
49
Let o = 26/277 - -20671/1108. Let n = 874 - 6572/7. Let c = n - -2605/42. Find the common denominator of o and c.
12
Suppose 2*i = 115 - 101. Let j = -89 - -142. Suppose 0 = 2*d + 3*o - j, -d + 3*o = -38 + i. What is the smallest common multiple of 14 and d?
28
Let u = -3167/28 - -650/7. Let i(b) = b - 28. Let x = 7 + -7. Find the common denominator of u and i(x).
4
Let m(y) = -26*y - 19. Suppose 0 = 3*f - 2*f - 3. Calculate the least common multiple of f and m(-2).
33
Let g = 170/27 - 257/108. Calculate the common denominator of 93/8 and g.
24
Let q = -114 - -416. Find the common denominator of (11/(-88))/(q/(-150) + 2) and -21/20.
40
Let l(x) = -x**2 + 4*x - 1. Let y be l(2). Suppose 5*j + r - 50 = -r, -j - y*r + 23 = 0. Calculate the smallest common multiple of j and (3 + -2 - -1)*4.
8
Let x be (-4)/18 - (-38265)/27. Let h = -8455/6 + x. Calculate the common denominator of h and -71/10.
30
Suppose -29*a = -992 - 1850. Calculate the smallest common multiple of a and 70.
490
Suppose -52 - 103 = -5*m. Suppose -3*v + m = v + u, 1 = -u. Let n(i) = 3*i - 13. Calculate the lowest common multiple of v and n(9).
56
Let k(n) = 3*n**2 - 24*n + 48. Calculate the smallest common multiple of k(8) and 6.
48
Let k(j) = j**2 + j + 72. Let s be k(0). Suppose -11*g + s = g. Calculate the least common multiple of 68 and g.
204
Let i(v) = -v**3 - 9*v**2 + 5*v - 5. Calculate the least common multiple of 35 and i(-10).
315
Suppose 0 = 4*f + 4*h - 56, 11 = f - h - 11. What is the common denominator of 2 + 0 - 483/f and -23/2?
6
Let r be (-191)/(-14) + (-1)/2. Let n = 1115/63 - r. What is the common denominator of (-19 + 1)/(2 + 3) and n?
45
Suppose 4*h + 8 = 2*w, 0 = 5*w - 4*h - 12 - 2. Let o = 15 - 14. What is the lowest common multiple of o and w?
2
Let g be (-46)/(-8) + 4/16. Let y be (-6)/(2/(10*1)). Find the common denominator of 51/14 and (-211)/y + (-2)/g.
70
Let n = 1601687/8 - 199820. Let z = n - 387. Let k = 1281/10 - 129. What is the common denominator of z and k?
40
Let q(j) = j**3 - 15*j**2 + 5*j + 8. What is the lowest common multiple of q(15) and 1?
83
Let x be (162545/(-399))/(1/6). Let i = x + 2438. Find the common denominator of i and 37/178.
1246
Suppose 4*v + k + 21 = -0*k, -4*k + 36 = -4*v. Let a be 6/4 - (-8485)/v. Let n = 1426 + a. Calculate the common denominator of n and -6.
3
Let n be 7/(7/(-3)) - -5. Calculate the smallest common multiple of (-5)/10*(-30 - n) and 18.
144
Suppose g - 10 = 6*g - 3*r, 2 = -g - r. Suppose -701*v = -702*v + 4. What is the smallest common multiple of v and (-4)/(-2 + 2 + g)?
4
Calculate the common denominator of 2/(-3) + (-604)/(-72) + -2 and -38/111.
666
Let p = -21 + 31. Suppose 2*s + 6 = 0, -5*g + 22 + 21 = -s. Calculate the smallest common multiple of g and (24/(-30))/((-2)/p).
8
Suppose -8*b - 128677 = -40061. Let h = 221589/20 + b. What is the common denominator of 11/28 and h?
140
Let n = 728 - 330. Suppose -5*o - n - 262 = 0. Find the common denominator of -101/6 and 321/o + 6/(-24).
66
Let q = -31 - -108. Suppose 3*h - q = 5*j, -h - 2*j = -3*h + 50. Calculate the smallest common multiple of h and 8.
24
Let h = 16277/63 - 1786/7. What is the common denominator of h and 40/127?
1143
Let i(y) = y**3 + 11*y**2 - 28*y - 22. Suppose -2*x + 16 + 4 = 0. Calculate the lowest common multiple of x and i(-13).
20
Let h be 0 + (-3 - (26 + -2)). Let c = h - -25. Calculate the common denominator of -47/14 and (-582)/(-108) - (0 + c).
126
What is the common denominator of ((-46)/(-130))/(783/435) and -61/65?
585
Let d be -2 - ((-471)/(-18) - -1). Let o be 4 - 6 - -2 - 382/(-6). Let j = d + o. What is the common denominator of j and -3/11?
22
Suppose n + 3*t + 4 = 0, 3*t = 5*n + 7 - 59. Suppose -5*y = -0*y. Calculate the lowest common multiple of 3/9*y - -3 and n.
24
Let r(h) = -10*h - 18. Let y be 2 + 14 - (-2 + 4). Calculate the least common multiple of 6/(-21) + 60/y and r(-4).
44
Suppose -3*t = -4 - 8. Suppose -12*i = 4*i - 128. What is the lowest common multiple of i and t?
8
Let f = -6/185 - -12079/1665. What is the common denominator of f and 4/((-16)/65)*2?
18
Let i be (-48)/112 - 104318/(-140). Let t = i + -744. Let u = 1059/17 + -16271/238. What is the common denominator of u and t?
70
Let v be (-28)/16 - ((-1)/4)/(-1). What is the common denominator of 4/52*v + 647/(-273) and -7/27?
189
Suppose 0 = 3*g + g - 32. Let h(z) = 44*z - 5. Let x be h(g). Let a = x + -2095/6. Find the common denominator of a and 47/20.
60
Let z(m) = 10*m**2 + 3*m - 1. Calculate the least common multiple of z(-1) and 1660.
4980
Let a be (543/(-2))/((-8)/(-6) - 1). Let c = a + 782. Calculate the common denominator of c and -71/4.
4
Let b = 2/10653 + 1033313/149142. Find the common denominator of -1 + (-532)/24 + -1 and b.
42
Suppose 0 = 32*j - 34*j - 8. Suppose q = -0*v - 5*v + 65, -3*q = 4*v - 41. Let w = v + j. Calculate the smallest common multiple of 11 and w.
110
Suppose 928*c - 2 = 927*c. What is the least common multiple of c and 12?
12
Suppose -2*r + 13*u + 37 = 8*u, 20 = -4*u. Calculate the least common multiple of r and 12.
12
Let w = -4561 - -95734/21. Find the common denominator of 53/21 and w.
21
Let j = -2422807/8 - -298018. Let k = 4839 + j. Calculate the common denominator of 19/33 and k.
264
Suppose -3*r = -4*z + 138, -z + 5 + 27 = -2*r. Calculate the lowest common multiple of z and 96.
288
Let d be 862/(-360) - 1/2. Let r = 11/20 - d. What is the common denominator of 30 and r?
9
Suppose u = -u - 4, -z - u + 2 = 0. Suppose 54 = z*q + 18. What is the smallest common multiple of 5 and q?
45
Let c = 267 + 165. Calculate the common denominator of 12/(-128)*c/(-4) and 27/2.
8
What is the least common multiple of 2 and -1*1685/(-15) + 2/(-6)?
112
Let j = -2/12105 - -665807/193680. Let d = -2883/2 - -1392. Find the common denominator of j and d.
16
Let x = -236707/18 + 13147. Calculate the common denominator of x and (-20)/5 + (-85)/(-30).
18
Let c(h) = h**3 - 13*h**2 + 2*h - 14. Let o be c(13). Suppose -z = -2*z + 8. Calculate the smallest common multiple of o/8*76/6 and z.
152
Let a be (-49)/(-15) + 9/(-3). Let i = -3/20 - a. What is the common denominator of i and -107/22?
132
Let c be (-9)/(-27) - 8/(-3). Suppose c*d + 7*w = 4*w - 6, -30 = -5*d + 5*w. What is the lowest common multiple of 10 and (-17)/(-3)*12/d?
170
Let p(u) = -4*u**3 + 1. Let w be (-6)/(-18) + (-10)/(-6). Let r be p(w). Let c = 47 + r. What is the lowest common multiple of c and 10?
80
Suppose -5*a + 99 = -141. Suppose -c + a = c. Suppose -2*y + 4 = d - y, 4*y - 22 = -5*d. Calculate the lowest common multiple of c and d.
24
Let l = 23 - 48. Let d = l + 41. Let c = -8 + d. What is the least common multiple of 5 and c?
40
Let f be (-6)/(108/(-15))*6. Calculate the common denominator of (-8)/(-18)*(-183)/(-8) and (-1)/f + 49/(-280).
24
Let v = -27 + 82. What is the smallest common multiple of v and 20?
220
Let f be 4/(-201)*(-3834)/22*1. Let y = -7/67 + f. What is the common denominator of y and -23/7?
77
Suppose -3*l + 6*l = 2*m - 7, 3*m = -4*l + 2. Let x(o) = 3*o**3 + 2*o**2 + o. Let u be x(-1). Let g = 3 - u. Calculate the smallest common multiple of m and g.
10
Let j be 15 + -4 - (-3 + 0). Let f(u) = 3*u + 2. Let b be f(-5). Let l = j + b. What is the least common multiple of 1 and l?
1
Let y = 985/18 + -83/9. Let u(d) = 2*d - 11. Let n be u(8). Suppose -4*i - 4*h + 196 = 0, 0 = -0*i - n*i + 3*h + 221. Find the common denominator of i and y.
2
Let z be 96/15 - (-2)/(-15)*3. Suppose 80 = z*p - 64. Calculate the smallest