-4*p = 2*t - 4, -3*t + 2*p - 14 = 12. What is the common denominator of 38/15 and (-4)/t + 3220/(-5775)?
165
Let c be ((-6)/(-4))/(54/(-72)). Let x be (c/(-6))/((-2)/(-12)). Suppose 2*g = 3*q - q - 36, -x*q = 4. What is the common denominator of g and -1/122?
122
Let j be 3/(-5)*(95 + -45). Calculate the lowest common multiple of 12 and (-10)/j + 213/9.
24
Calculate the lowest common multiple of (-16416)/(-228)*(-14)/(-8) and 196.
1764
What is the common denominator of (-5)/(-6) - (84/(-9))/14 and ((-834)/(-54)*-1)/((-8)/(-6))?
12
Calculate the common denominator of -101/258 and 561/594*(-6 - (2 - 0)).
774
Suppose 0 = -f + 2*q - 42 + 37, -58 = -4*f - 5*q. Suppose 18*z = 20*z - 224. Calculate the smallest common multiple of z and f.
112
Let r = 122978 + -31359476/255. What is the common denominator of r and -35/6?
510
Let y(l) = -l**3 + 7*l**2 - 6*l + 4. Let n be y(6). Let z = 16 - n. Suppose -10*m + 75 + 25 = 0. Calculate the least common multiple of z and m.
60
Suppose 624*q - 83268 = -147*q. Calculate the least common multiple of q and 558.
3348
Let c = 10/318341 + 236374877221/14007004. Let o = c - 16874. What is the common denominator of -25/8 and o?
88
Let r = -129 + 509. Find the common denominator of 47/14 and (r/720)/((-1)/2).
126
Let b = 50347/2850 + 1/950. What is the common denominator of b and 0 + ((-1790)/(-1356) - 112/84)?
678
Let t(f) = f**3 - 10*f**2 - 10*f - 8. Let k be t(11). Suppose k*y - 162 = 4*n, 7*n = 9*n. What is the smallest common multiple of 6 and y?
54
Suppose -5*m = -s + 541, 21*m - 20*m - 2185 = -4*s. Calculate the least common multiple of s and 70.
2730
Suppose 2541 = -145*s + 112*s. Suppose 5 - 2 = -3*p. Calculate the common denominator of -64/9 and (p - 1) + (-217)/s.
99
Suppose -2*u + 90 = -4*x, -2*u + 133 = u - 4*x. Suppose 0 = -3*j + y - u, 4*y - 77 = 5*j + y. Let g = j - -28. What is the lowest common multiple of 15 and g?
15
What is the smallest common multiple of ((-8856)/615)/(6/(-40)) and 64?
192
Let g = 16 - 44. Let u = g + 12. Calculate the common denominator of ((-2)/u)/((-39)/1586) and 69/8.
24
Let s = 21 - 90. Calculate the common denominator of -2 - (1/(-22) - 0) and (-8)/(-84) + s/14.
66
Let w be 1*(3 - 9)*1. Let a = -1871357/269478 - 1/14971. Calculate the common denominator of 88/w*8/(-144) and a.
54
What is the smallest common multiple of -7*(-108)/63*133/4 and 6?
798
Let o = -1266 + 12721/10. Let u = -1284/17 - -112091/1496. What is the common denominator of o and u?
440
Suppose -5*l + 259 = -46. Suppose 0 = -5*a - 28 - 242. Let j = l + a. Calculate the lowest common multiple of j and 14.
14
Let q = 250/417 + 27119/29190. Calculate the common denominator of q and 80/1113.
11130
Let w(v) = -78*v - 330. What is the lowest common multiple of 108 and w(-7)?
216
Let u = -375/2 + 142. Let m = 1566257/64 + -24472. What is the common denominator of u and m?
64
Let h be 14445/60 - (-1)/4. Let b = h + -237. What is the lowest common multiple of 6 and b?
12
Suppose 2*u - 9 - 15 = 0. Let j(w) = -2*w + 26. Let t be j(u). Suppose -2 - 58 = -t*d. What is the least common multiple of d and 21?
210
Let w be (-8)/(-20) - 5/((-1800)/(-2819154)). Let t = 7836 + w. Calculate the common denominator of 140/8*(-1)/6 and t.
12
Let b be 3/(-7)*-4 - (-4)/14. Calculate the smallest common multiple of 3 and (-533)/(-104) - b/16.
15
Suppose -5*v + 2*v = 4*g - 95, -4*v + 115 = 3*g. Suppose -196 = 18*r - v*r. Calculate the smallest common multiple of 4 and r.
28
Let l = 1089023850 + -116526555275/107. Let o = l + 9379. Let a = o + -11348/3317. What is the common denominator of a and -73/10?
310
Let q be 83 + (-5)/(15/9). What is the common denominator of (((-8)/(-18))/(-2))/(q/(-3210)) and (3/(-4))/(60/(-88))?
60
Let q(j) = -j**3 - j**2 + j + 6. Let s = -350 + 429. Suppose -89*b + 220 = -s*b. What is the lowest common multiple of b and q(0)?
66
Suppose -99*k + 70*k + 16443 = 0. What is the lowest common multiple of 891 and k?
6237
Suppose 4*w = 12, 3*w = -3*q + 3 + 18. What is the lowest common multiple of ((-154)/(-28))/((-1)/(-24)) and q?
132
Let g = 3 - -22. Let f = 341/2 + -713/4. What is the common denominator of ((-115)/g + 6)/((-88)/(-10)) and f?
44
What is the least common multiple of ((16/(-10))/((-42)/(-15)))/(4/(-7742)) and 6?
3318
Let n(r) = 13*r**3 - 25*r**2 + 83*r + 9. Calculate the least common multiple of 192 and n(3).
384
Let q(o) = -o**3 + 4*o**2 + 18*o - 51. Let i be q(9). What is the common denominator of 43/54 and 7 - (-5 + (-2317)/i)?
378
Let g(w) = -4*w - 23 + 2*w**2 - 3*w**2 + 2*w**2 - 6*w. Let i be g(11). Let m = 27 + i. Calculate the least common multiple of 9 and m.
45
Suppose 0 = -4*t - 3*w + 13, 0 = -3*t - 3*w - 4 + 13. Suppose -o + t + 5 = 0. What is the lowest common multiple of o and 6 - (-72)/60*10/(-6)?
36
Suppose -23*n - 29 - 23 = -328. Suppose -5*b + 6*v = v - 70, -3*v - 6 = 0. Calculate the least common multiple of n and b.
12
Let h = 257 + -164. Let g = 83 - 59. Calculate the smallest common multiple of g and h.
744
Let h(x) = x**3 + 4*x**2 + 4*x + 8. Let r be h(-8). Find the common denominator of (546/r)/(3/(-14)) and (-8 - (2175/(-35))/5) + -5.
70
Suppose -8 - 4 = -4*i. Suppose i*p - 36 = -3*p. Calculate the lowest common multiple of 18 and p + 0 - (0 + 1).
90
Let u be 11 + -10 - (-526)/(-14). Let l = u + 262/7. Let a = 262 + -264. Find the common denominator of l and a.
7
Suppose -5*b = h - 272, b - 6 = -2. Calculate the common denominator of 21/h*532/10 and (242/55)/((-4)/(-5)).
30
Let t be (7 + -6)/((-5)/(-555)). Let h = t - 48. What is the smallest common multiple of 60 and h?
1260
Let v = 6164373 - 61538903/10. Let j = 10472 - v. Find the common denominator of 13/10 and j.
10
Let g(h) = -h**2 - 25*h + 24. Let c be g(-16). Let d = c - 162. Calculate the smallest common multiple of 20 and d.
60
Suppose 29*g - 40*g + 3080 = 0. Suppose 5*m - g + 160 = 0. What is the smallest common multiple of m and 44?
264
Let d be 2/6 + 5 + 1906/15. Let c = -133 + d. Let s = -81637/20867 - -6/1897. Calculate the common denominator of s and c.
55
Suppose 363*y - 320*y = 549454. Calculate the smallest common multiple of y and 18.
115002
Let t(z) = -z**2 + 15*z - 2. Let i(s) = -s**3 - 9*s**2 - 22*s - 284. What is the smallest common multiple of i(-10) and t(7)?
108
Let b(t) = -3052*t**3 + 16*t**2 + 15*t + 10. Let r be b(-13). Let n = 603705961/90 - r. Let j = n + -802/9. Find the common denominator of -75/52 and j.
260
Let y = -24760 + 3293053/133. Calculate the common denominator of y and -51/931.
931
Let h be (-9)/(-2) - 13/(-52)*-2. Suppose -h*t - 6*p + 576 = -p, 0 = -t + 5*p + 144. Calculate the lowest common multiple of t and 33.
1584
Let i = 18109110359/13182150 + 1/527286. Let l = i + -1373. Calculate the common denominator of 103/40 and l.
200
Calculate the common denominator of ((-5626)/(-17520))/(-29) + -5 + 5 and 119/10.
8760
Suppose 5*q = 2*m + 16, 3*m - 6 - 4 = -q. Suppose -7*y + m = -12. What is the smallest common multiple of 278 and y?
278
Suppose -64*q - 12*q = 40*q - 83520. What is the smallest common multiple of 560 and q?
5040
Let w be -2 - (-2 + -413 - (-5 + 0)). Let i = w + -235. What is the least common multiple of i and 10?
1730
Suppose -q = 4*j + 1353, 2*j - 5*q + 678 = -7*q. Let a = j - -3733/11. Calculate the common denominator of 53/4 and a.
44
Suppose 3*o = 15*o - 42816. Suppose a = 2*b + o, 7164 = -2*b - 2*b - 5*a. Find the common denominator of -43/5 and 12/(-54) + b/(-504).
140
Let o = 2501/4 - 1840/3. Find the common denominator of -37/24 and o.
24
Suppose -2*i - 486 = -s + i, 3*i = -4*s + 1929. Suppose -t = -g - 0*g + 246, -5*t - s = -2*g. Calculate the common denominator of (g/28)/(3/(-2)) and -95/4.
28
Let k = 4181 + -37673/9. Let m = 14556867/467 + -31171. Let t = m + 29858/1401. Find the common denominator of k and t.
9
Let r(u) = u**3 + 4*u**2 + 6*u + 5. Let v be r(-3). Let p = 1/96 - -1903/96. Calculate the common denominator of v + -1 + 7/(84/(-76)) and p.
6
Suppose -15 = -j + 87*k - 83*k, 2*j + k - 12 = 0. What is the lowest common multiple of j and 409?
2863
Suppose 5*h + 5*v - 2110 = 0, -5*h + 0*v = -4*v - 2137. Let m = 459235/207008 + 2/6469. Calculate the common denominator of m and 2 + h/(-60) + 2/(-3).
32
Let u = -930297/77 - -12082. Calculate the c