8. Let n(y) = -31*y + 1927. Calculate the smallest common multiple of t and n(62).
15
What is the common denominator of (-106)/((-20)/(-50)*65) and 73/40?
520
Let d = 110689/14 - 7912. Let p be (-1 - 8211)*(-91)/(-116766). Let t = p + 11/998. What is the common denominator of d and t?
126
Let y = 2/227313 + 20230333/59556006. Find the common denominator of y and -23/20.
2620
Let j = -2402803/6 + 399291. Let g = j + 1190. Calculate the common denominator of g and 103/22.
66
Let s = -2327/40 + 284383/40. Let h = 253877/36 - s. Find the common denominator of 3/8 and h.
360
Suppose g - 5*g = -h - 107, 0 = -4*g - 4*h + 92. Calculate the least common multiple of (-4)/(-3)*-6*7/(-4) and g.
182
Suppose -203 - 277 = 4*w. Let d = -92 - w. What is the lowest common multiple of 10 and d?
140
Let n = 3 - -19. Find the common denominator of ((-4)/(-128)*n)/((-3)/(-4)) and -67/2.
12
What is the least common multiple of 82 + (-28)/(-6) + 2/6 and 24?
696
Let z = -73 - -91. What is the least common multiple of 140 and z?
1260
Suppose 4*j = 4*s + 88, -4*s - 2 = j + s. Calculate the lowest common multiple of j and 6.
18
Suppose 0 = p - 2*p + 10. What is the common denominator of -125/18 and 3/(-2) - (-128)/p?
90
Let l(c) = c**2 - 29*c + 58. Let j be l(27). Suppose -2*p - 268 = -j*w, -2*w + 4*p = 6*p - 140. Calculate the smallest common multiple of w and 22.
748
Suppose -5*v + 7*v - 24 = 0. What is the lowest common multiple of 16 and v?
48
Let f = -17/114 - 1357/456. Find the common denominator of -19/168 and f.
168
Let p(z) = z + 1. Calculate the least common multiple of p(0) and 20/(-6)*(-9 - (6 - 12)).
10
Let w = -358079/68 - -5266. Let v = w - 919/136. Find the common denominator of 59/14 and v.
56
Let i = 17818 + -12296. Let g = i + -121565/22. What is the common denominator of ((-3)/18 - 0)*-123 and g?
22
Let y be (-1)/3 + 64/(-6). What is the common denominator of (y/(-6))/((-6)/(-2)) and ((-618)/(-4))/((-7 + -2)*1)?
18
Let z be (-280)/(-4) - 15/(-5). Let f(g) = -2*g. Let s be f(-1). Suppose s*m + 2*o - 5*o = 53, 5*o = -4*m + z. What is the least common multiple of m and 16?
176
Let l(k) = -k**3 + k**2 + 2. Suppose 9*a + 190 = 28*a. What is the smallest common multiple of a and l(-2)?
70
Calculate the lowest common multiple of (-2 + (-2)/(-6))/(-1*125/150) and (-20)/(-6)*(-72)/(-15).
16
Let d(l) = 2*l**3 + 8*l**2 + 3*l + 1. Let r be d(-3). Let i(u) = -u**3 + 9*u**2 + 13*u - 22. What is the lowest common multiple of i(r) and 14?
56
Let n = -3178 - -22290/7. Suppose 0 = -m + 3*k - 1 + 13, -3*m = -5*k - 24. What is the common denominator of n and (-880)/180 - (m - 0)?
63
Let m = -5 - -22. Suppose 17 = -h - m. Let j = -26 - h. Calculate the lowest common multiple of j and 7.
56
Suppose -1 = 3*l - 13. Suppose f + 5*s - 68 = 17, 403 = l*f - s. Suppose 6*c = 2*c + f. Calculate the smallest common multiple of 11 and c.
275
What is the common denominator of -67/10 and -4 + 85/2 + 6?
10
Suppose -20040 = 7*q - 3*q. Let j = q - -90271/18. What is the common denominator of -37/14 and j?
126
Suppose 5494 = 4*j + 2*s, -5*s + 688 + 2055 = 2*j. What is the least common multiple of 20 and j?
13740
Let k = -458 + 539. What is the least common multiple of 36 and k?
324
Suppose -123 + 368 = -5*i. Calculate the common denominator of (i/(-15))/((-10)/(-25)) and (-34)/(-4) + 2/(-8).
12
Let f(o) = -o**2 + 12*o + 40. Calculate the lowest common multiple of 8 and f(14).
24
Suppose y = 5*y + 56. Let h(u) = -u**3 - 14*u**2 - u - 3. What is the lowest common multiple of h(y) and 2?
22
Let x = 7698 + -785215/102. What is the common denominator of -11/255 and x?
510
Suppose -4*w = -3*v - 4065, 0 = 2*w + 3*v - 0*v - 2019. Let n = 396749 + -3182073/8. Let o = n + w. Find the common denominator of 5/4 and o.
8
Suppose 7 = 2*a - 7. Suppose 0 = -a*w + 3*w + 3672. Let r = w + -7435/8. What is the common denominator of 83/16 and r?
16
Suppose 2 = -99*f + 100*f. Calculate the smallest common multiple of f and 86.
86
Let r = 3/298 + 11297/2682. Suppose -x + 3*g = -10, -4*g = -4*x - 0*x + 16. Calculate the common denominator of (2 - x/(-7)) + 3/(-1) and r.
63
Suppose -5*g = 5*o - 65, 3*g - o - 2*o - 9 = 0. Let s = 14 - g. Let d(c) = -8*c. Calculate the lowest common multiple of s and d(-1).
24
Calculate the lowest common multiple of ((-36)/8)/((-21)/224) and 120.
240
Calculate the common denominator of 5/(-60)*938/(-28) and 67/729.
5832
Suppose -13*p = 127 - 478. What is the lowest common multiple of p and 234?
702
Suppose 0 = -16*x + 260 - 36. Calculate the least common multiple of x and 1462.
10234
Suppose 84 = 2*f + 24. What is the common denominator of 3 - -89*5/f and -51/10?
30
Let l be ((-349779)/(-2))/((-180)/4). Let p = l + 3887. Find the common denominator of 49/11 and p.
330
Let u(g) = g + 31. Let x be u(0). Suppose x = 5*r - 24. Calculate the lowest common multiple of r and 6.
66
Calculate the common denominator of 1856/(-384)*(0 + -1) and 32/27.
54
Let n(k) = -k**2 - 6*k - 2. Let r be n(-4). Suppose 5*s + q = 8, 0 = s + s - q - r. What is the smallest common multiple of s and 1?
2
Suppose 3*i + 199 = 4*v, 15*i = 5*v + 18*i - 242. What is the smallest common multiple of 196 and v?
196
Let l(m) = m**2 - 4*m - 4. Let u be l(7). Let h be 22038/(-4)*u/(-6936). Let x = 186/17 - h. What is the common denominator of -87/4 and x?
16
Let u = -5 - -4. Calculate the common denominator of -8 and (u/3)/(18/630).
3
Let z = 1467273750 + -3274954895339/2232. Let k = z - 411/8. Let x = k + -11989/2232. What is the common denominator of 55/7 and x?
56
Let f(x) = 7*x**2 + 6*x - 8*x + 0*x + x. Calculate the lowest common multiple of 8 and f(-2).
120
Let g(b) = 0 + b**2 + 6*b + 1 + 8 + 1. What is the smallest common multiple of 2 and g(-4)?
2
Suppose 67*c - 84 = 53*c. What is the lowest common multiple of 36 and c?
36
Find the common denominator of ((-1)/2)/((-1317)/15) and -91/16.
7024
Let c = 383258 - 7669453/20. Let u = c - -214. Find the common denominator of 4862/(-1056) - -3*2 and u.
240
Suppose 4*z = w + 3*w + 132, -2*w + 4*z = 68. Calculate the lowest common multiple of 6 and 5*(106/40 - (-8)/w).
12
Let j be 1/3 + (-37)/3. Suppose -185 = 2*b - 1213. What is the common denominator of 8/j - b/12 and 65/18?
18
Let z be ((-2)/6)/(5/505). Let p = z + 1183/6. Let g = p - 863/5. What is the common denominator of g and 83/8?
40
Calculate the common denominator of 146/(-30) + ((-38)/(-6) - 6) and -52/27.
135
Let v(g) = g**3 + 10*g**2 - 12*g - 11. Let f be v(-11). Let u = -1 - -3. Let r = u + f. What is the lowest common multiple of 7 and r?
14
Suppose 48 = 5*p + 18. Let m(s) = -5*s + 6 + 0 - 1 - 26*s**2 + 27*s**2. Calculate the smallest common multiple of m(p) and 9.
99
Let d = -4683/2 + 42031/18. Calculate the common denominator of (-86)/192 + 2/(-6) and d.
288
What is the common denominator of -67/28 and ((-4)/(-16))/((1 - 2)/11)?
28
Let k(w) = -w**2 - 21*w + 27. Let q(p) = -6*p - 3. Let v be q(3). Calculate the lowest common multiple of 15 and k(v).
135
Suppose -2*j - 3*m = -1740, m = 5*j - 2485 - 1865. Let f be j/(-369) + (-5)/(-5). Let o = -1/41 - f. Find the common denominator of -58/7 and o.
21
Suppose 20909 = 8*c - 3219. Let l = c + -66267/22. Calculate the common denominator of -83/16 and l.
176
Let y(h) = -241*h**2 + 5*h - 9. Let w be y(2). Find the common denominator of 11/56 and 15/35 - w/(-42).
56
What is the common denominator of 852/2070*2*20/32 and -8/3?
138
Suppose -4*m + 2*r = 7*r - 170, -5*r - 150 = -4*m. What is the smallest common multiple of m and 115?
920
Suppose 21 = 2*m + 3*w, -10*w = 2*m - 9*w - 23. Calculate the least common multiple of m and 84.
84
Let i = 928499/125896 + -2/15737. Find the common denominator of -121/72 and i.
72
Let o be ((-7175)/8)/((-13)/(-39)). Let l = o + 2696. What is the common denominator of l and 55/4?
8
Let u(t) = t**3 - 7*t**2 + 7*t - 9. Let z be u(6). Let l be 1 - (0 - (z - 0)). Let o(v) = -2*v**3 + 2*v. Calculate the lowest common multiple of 2 and o(l).
12
Let a = -23 - -28. Let u(s) = s**3 - 10*s**2 + 10*s + 2. Let g be (1 + -10)/(-3 + 2). What is the least common multiple of u(g) and a?
55
Let d = -70/247 - 20583/4940. What is the common denominator of d and 69/44?
220
Suppose k + 7 - 67 = 0. Suppose -k = 4*w - 9*w. Let t = -877 + 891. What is