 i and -6 + (944/216 - -2)?
27
Let c = -121 + 116. Let x(r) = 5*r**3 + 25*r**2 - 5*r - 13. What is the least common multiple of x(c) and 60?
60
Suppose -28*i + 8133 = -523 - 3244. What is the lowest common multiple of 425 and i?
425
Let m = -44/205 + 7351/820. Let f = -1053 - -12619/12. Calculate the common denominator of m and f.
12
Let b(i) = i**3 + 25*i**2 + 24*i + 2. Let c be b(-24). Suppose -4*a + 276 = c*x, -12 + 165 = x + 5*a. What is the lowest common multiple of x and 16?
128
Let i = 35 - -213. Suppose -5*v + v = -3*y + i, 4*y - 340 = 3*v. What is the smallest common multiple of 6 and y?
264
Let x = 13585548/353 + -38486. Let r be ((-10)/10590)/((-26)/(-16164)). Let v = r + x. What is the common denominator of 18/7 and v?
91
Let u = -107/6 + 27/2. Calculate the common denominator of 2*(-3)/45 + (-10387)/(-940) and u.
12
Let t = -47177 + 3255205/69. Find the common denominator of t and 1/4 - 363/108.
207
Let p be 11/((-55)/(-30))*3226884/9. Let f = p + -47317097/22. Let i = -479 + f. What is the common denominator of 57/20 and i?
220
Let y = -12959 + 337021/26. Find the common denominator of -27/676 and y.
676
Suppose 5*s + 3 = 28. Suppose -4*d = -6*d + s*g + 32, 0 = -d + 3*g + 14. What is the least common multiple of 8 and (-92)/(-115) - d/(-5)?
24
Let i = -76342 + 37789309/495. Find the common denominator of i and -71/540.
5940
Suppose -f - 16 = 4*j, -49*j - 22 = 4*f - 54*j. Calculate the common denominator of 4/(f/(-2)) + (-246)/(-288) and -97/48.
48
Let n = -7230 - -7251. Calculate the least common multiple of 204 and n.
1428
Let i(z) = 7*z**2 + 27*z - 14. Suppose -118*t - 50 = -108*t. Calculate the lowest common multiple of i(t) and (-3)/(3/2*-1).
26
Let t = -18 + 20. Calculate the common denominator of (-2 + (-24)/9)/((-8)/27) and t/(-12) - 1162/(-735).
140
Suppose 94832 = -5*j + 241432. What is the smallest common multiple of j/360 + (-4)/9 and 63?
567
Let p(y) = -86*y + 12. Let h be p(-9). Let o be 2/(-20) + h/9060. Let i = o - 1649/906. What is the common denominator of i and 14/33?
66
Let v(b) = b**3 - 13*b**2 - 12*b + 3. Let f be v(14). Calculate the smallest common multiple of 52 and -31 + f + -1 + 7.
156
Let k(v) = 15*v**2 - 4*v - 57. Let o(f) = 7*f**2 - f - 28. Let h(q) = -3*k(q) + 7*o(q). What is the smallest common multiple of 16 and h(-7)?
272
Let j(b) = -b**2 + 28*b + 302. What is the smallest common multiple of 8 and j(35)?
456
Suppose 25*g = 35*g - 400. Calculate the smallest common multiple of 168 and g.
840
Suppose l - 5*o - 28 = -0*o, -2*o = 4*l - 2. Find the common denominator of 103/12 and (-74)/6*1/(24 - l).
252
Let n = -72100 - -34319525/476. Find the common denominator of n and -75/128.
15232
Let h(o) = o**3 + 23*o**2 - 17*o + 172. Calculate the lowest common multiple of 496 and h(-24).
496
Let k = -287835253/636 - -452571. Find the common denominator of 79/12 and k.
636
Let i = -112 - 83. What is the common denominator of ((i/44)/15)/(3/(-4)) and 71/3?
33
Let p be (54/(-10) - -6)*(-20)/(-6). Suppose -107 = -u - 3*a, -p*u + 140 + 98 = -2*a. Calculate the least common multiple of u and 20.
580
Suppose -15*a = -8*a + 70. What is the lowest common multiple of (12/a)/((-88)/1100) and 35?
105
Let l(n) = 32*n - 318. Let t be l(10). Suppose 3*q - 193 - 61 = -5*w, t*w - q = 95. Calculate the lowest common multiple of 8 and w.
392
Suppose 0 = z - 3, 63 = 2*f - 3*z + 2*z. Suppose -11 - 4 = g. What is the smallest common multiple of f and (-25)/(-2)*(-36)/g?
330
Let o(i) = 346*i - 687*i + 355*i - 143. Calculate the smallest common multiple of o(15) and 4.
268
Let g = 34943/9 + -3884. Calculate the common denominator of -119/132 and g.
396
Let s = -36/3049 - -258827/487840. Let i = -9577 - -57323/6. What is the common denominator of i and s?
480
Let n(r) = -15*r + 174 + 32*r - 11*r + 34. What is the smallest common multiple of n(-28) and 1/(((-2)/(-24))/1)?
120
Find the common denominator of (5/(-10))/((-6)/22) and (27/(-18))/(8/26).
24
Let x(d) = d**2 - 21. Let s be x(-5). Suppose 2*b + 2 = 4*k, 0 = k - 2*b + s - 0. Suppose -n - n + 8 = 0. Calculate the smallest common multiple of n and k.
4
Suppose 0 = -64*t + 17*t + 9303 + 97. What is the smallest common multiple of 160 and t?
800
Let l(m) = m**3 + 6*m**2 + 15*m + 5. Let o be l(-13). Let i = -9633/7 - o. What is the common denominator of i and (-5 + 330/100)*(-5)/(-2)?
28
Suppose 0 = 16*s - 6*s - 250. Suppose -s*v = -9*v - 128. What is the smallest common multiple of 116 and v?
232
Suppose 3*l = 3*p + 32544, -2*p = -p - 2*l + 10844. Let j = 423275/39 + p. Find the common denominator of 91/75 and j.
975
Suppose 1 - 19 = -3*s. What is the lowest common multiple of 58 and (s/(-27))/((-1)/(-6))*-6?
232
Let m = 3922 - 3913. What is the least common multiple of m and 2758?
24822
Let p = -3 - -5. Suppose -111 = -3*l - 3*q + 6*q, 0 = 3*l - p*q - 110. What is the lowest common multiple of l and 28?
252
Suppose 4*t - 4*v - 84 = 0, -6*v = -2*t - 3*v + 43. Suppose 2*h - 8*n + 5 = -3*n, 0 = 2*h + 5*n - 25. What is the smallest common multiple of h and t?
20
Suppose -101 = -3*n - 2*r - 25, -3*r + 16 = n. Suppose j + 9 = 5*f, 6*f - 8 = f + 2*j. Suppose f*x + 2*x - 8 = 0. What is the lowest common multiple of n and x?
28
Let k = -96 - -96. Suppose k = -g - f - 2 - 9, -31 = g + 5*f. Find the common denominator of (2/8*-3)/(g/(-13)) and -73/26.
104
Let u(f) be the second derivative of -2*f**3/3 - 19*f**2 - 105*f. What is the lowest common multiple of u(-12) and 67?
670
Suppose -162 = 16*h - 18*h. Let l = h - 195. Let v = l - -72. Calculate the common denominator of 13/29 and v.
29
Suppose 17*q + 33 = -18. Calculate the common denominator of 77/6 and (-389)/777 - q/63*2.
222
Suppose 8*p + 5 = 5. Calculate the common denominator of 155/114 and (3 - (p + 4))*142/(-30).
570
Let z = 18163 - 127164/7. Find the common denominator of -10/1523 and z.
10661
Let h = -2 + 1. What is the common denominator of (-31 + 2)/((-435)/(-15) - 22) and 1 - h - 148/(-8)?
14
Suppose 4*h - 1349 = 5*b, 0 = -40*b + 43*b + 3. Calculate the lowest common multiple of 40 and h.
1680
Let j = -12735 - -13195. Calculate the least common multiple of j and 11.
5060
Let u = -1868773/7644 + 55177/273. Let z = 1167/28 + u. Calculate the common denominator of 13/16 and z.
784
Let l(h) = -h**2 - 12*h - 9. Let a be l(-12). What is the common denominator of (-15)/2 + (-4)/(-36) and 318/120 + 5/((-15)/a)?
180
Suppose -125*s + 141*s - 112 = 0. Let a(g) = -5 + g + 5*g**2 - g**3 + 0*g**2 + 2*g**2. Calculate the lowest common multiple of 5 and a(s).
10
Let l = -22163/9833 - -146835679/18584370. Let d = l - -10/189. Find the common denominator of 15/16 and d.
80
Let i(z) = -z**3 - 10*z**2 - 13*z + 27. Let h be i(-11). Let k = -281 + h. What is the smallest common multiple of 12 and k?
60
Suppose -5*v + 22 = -18. Suppose 9000 = 33*b + 17*b. Calculate the least common multiple of v and b.
360
Let u(w) = w**2 + w - 16. Let s be u(-5). Calculate the common denominator of 1/1 + (-168)/(-64) and 0/(-5) + 13/s.
8
Suppose 283*i + 5*n = 286*i - 34, -3*n = 4*i - 26. Calculate the lowest common multiple of i and ((-159)/6)/(9/(-18)).
424
Suppose -569 = -16406*u + 16404*u - 3. What is the lowest common multiple of u and 11?
3113
Suppose 2*p - 10 = 3*r, p = -0*p - r + 5. Let v = -203 + 635/3. Find the common denominator of 74*(5/18)/p and v.
9
Let k(h) = h**3 - 10*h**2 - 90*h - 490. Let c = 70 + -3. Calculate the lowest common multiple of c and k(17).
201
Let s = -107 - -126. What is the common denominator of 61/30 and s - 13 - (-358)/(-40)?
60
Suppose -10 = -u - 2*r - 7, -3*u = -2*r - 33. Calculate the lowest common multiple of u and (12/(-10))/((-2)/45).
27
Let a = -21/5 - -333/50. What is the common denominator of -23/165 and a?
1650
Let g = -160 - -360. Find the common denominator of (-158)/(-8) - (24 - 26) and -2*5/g*-206.
20
Let q = -4936549/1368 + 8281/342. Let w = -3590 - q. Calculate the common denominator of w and 127/12.
24
Let p = -138 + 146. Suppose -27 = -6*j + 3. Suppose 5*y = j, 0 = d + y - 15 + 2. Calculate the smallest common multiple of p and d.
24
Calculate the common denominator of ((-129)/3168)/(5/(140/(-21))) and -53/576.
6336
Calculate the common denominator of ((-9)/(-14))/((-380)/399*9) and 51/644.
6440
Let g(x) be 