780)/8)/(10/(-8)).
1734
Let t = -320308651/1483896 - -29357/136. Find the common denominator of -11/15 and t.
54555
Let f = -211/328 + 45/328. Calculate the common denominator of -143/4674 and f.
9348
Suppose 160 = 8*s - 4*s. Let x(q) = -32*q**3 - 6*q**2 + 229*q + 233. Calculate the smallest common multiple of x(-1) and s.
120
Let k be 4 + (1 - 0) + -5. Suppose -5*r + r + 248 = k. Find the common denominator of -29 and (-51 + 4)*(r/(-30) - -2).
15
Let f be (252/(-96))/(-7)*94/(-12). Let r = 20051773/48 + -417763. Let v = f + r. What is the common denominator of v and 163/30?
30
Let g(v) = 2*v + 94. Let l be g(13). What is the lowest common multiple of 7/(-2)*l/(-70) + 5 and 229?
2519
Let x = 282 - 274. Let i be 61 - ((-6)/(-3) + -5). Suppose -22*s = -18*s - i. What is the lowest common multiple of x and s?
16
Suppose -56*t + 71148 = 65*t. What is the lowest common multiple of 420 and t?
2940
Let d(a) = -4*a + 13. Let k be d(3). Let q(s) = s**2 - s - 6. What is the least common multiple of q(4) and (-12)/(-3) + 24*k?
84
Let m(n) = -187*n - 1437. What is the smallest common multiple of m(-8) and 42?
2478
Let q be (-2)/4 + (-28)/(-8). Calculate the common denominator of 4 - 7/(105/(-18))*(-1755)/52 and q/(-9) + 43/(-12).
12
Suppose -5*v - 10*v = -15. Calculate the common denominator of -34/67 and (-4 - (-680)/176)*(27 + v).
737
Let s(r) = r**3 + 8*r**2 - 48*r + 23. Let q be s(-11). Suppose 4*o - q = 4*z, -2*o + 3*z + 123 = 27. What is the least common multiple of 5 and o?
45
Let a be (-3)/(-7) + 34352155/10976560. Let f = -5/1153 - a. What is the common denominator of f and 1 - (1 - (-30)/(-68))?
272
Find the common denominator of 17/711 and 1 + -9 + 2 + 9 + 5554/(-1896).
2844
Let v = 445 - 5233/12. Calculate the common denominator of v and (-2)/10 - 1346/(-4180).
2508
Let o(r) = r**3 + 6*r**2 + 5*r + 32. Let s be o(-6). Suppose 0*l - l + 43 = -4*y, s*l - 5*y = 74. What is the least common multiple of 4 and l?
108
Let q(u) = u**2 - 56*u + 164. Calculate the lowest common multiple of q(53) and 260.
260
Let s be (-418)/(-12) + (-2)/(-12). Let v = s - 25. Suppose -3*i - 3 = 0, -d + 8*i + 19 = 11*i. What is the least common multiple of v and d?
110
Suppose 5054 = 4*c - 23*c. Calculate the least common multiple of (-1)/(7/c) - (-1 - 1) and 20.
40
Suppose -4*n + 108 = -n. Let q be n/(-48) + (-34)/8. What is the common denominator of (-9)/(-21) + q + 2 and -89/4?
28
Let b(t) = 192*t**3 - 6*t + 6. Let x be b(1). Calculate the common denominator of (-154)/x - 7/(-126)*6 and -31/72.
288
Let v = -35 - -33. Let b be 38444/(-4136) - v - 0. Let h = -580/47 - b. What is the common denominator of 119/10 and h?
110
Let d = 88127/3 + -29383. Calculate the common denominator of 91/1192 and d.
3576
Suppose 0*u + 5*u - 140 = 0. Let g = u - 27. Suppose 4*q = -4*n + 36, q + g = n - 8. What is the lowest common multiple of n and 5?
45
Let p be (-40)/420 + (-69)/(-63). Find the common denominator of 571/(-66) + (p - 169/143) and -1/11.
66
Let p(g) = 7*g**2 - 3*g - 2. Let i = -1345649/133 - -10118. What is the common denominator of i and p(-2)?
133
Let c = -939 + 434. Calculate the common denominator of -5/28 and 12/16 - c/(-1260).
252
What is the common denominator of 1322/(-240) + 12/(-60) and -3 - 248/192 - 15/10?
24
Suppose -121*d + 2*d + 4747 + 489 = 0. Calculate the least common multiple of d and 4.
44
Suppose -3*o + 11 + 121 = 0. Let h = o + 0. Calculate the smallest common multiple of 44 and h.
44
Suppose -4*g - 5*m + 32 = 0, 4*m = g - 2*g + 19. Suppose -8 - 4 = 3*k, 0 = 4*d + g*k + 120. Calculate the common denominator of 91/6 and -2 + 2 - 102/d.
18
Let f be (-5)/(15/6) - 136555/(-102). Let s = 1337 - f. Find the common denominator of s and -3/34.
102
Suppose -17 = -5*m + 8. Suppose -m = -c - 14. Calculate the smallest common multiple of c/63 + (-15)/(-7) and 4.
4
What is the common denominator of (-9)/(315/(-10)) - (-311)/(-35) and 21/1049?
5245
Let a(v) = -13*v - 220. Let q(g) = -2*g - 33. Let m be q(-15). Calculate the smallest common multiple of a(-17) and m/(15/2)*-115.
46
Let h(g) = g**3 - 15*g**2 + 13*g + 6. Let o be h(14). Let q = o + -8. Find the common denominator of ((-7)/2)/(44/q) and 26/9.
99
Suppose -20*c + 19*c + 811 = -5*g, 2*c - 4*g - 1610 = 0. Let h = -765 + c. What is the lowest common multiple of h and 21?
252
Let h(u) = 10*u**3 - 57*u**2 - 13*u + 6. What is the least common multiple of 2564 and h(6)?
23076
Calculate the common denominator of (70/21)/((-16)/102) and (-795)/12*(-36)/(-4320)*12.
8
Let l(z) = -8*z**3 + z**2 - z - 2. Let v be l(3). Let s = 1607 - 19325/12. Find the common denominator of s and (v/28)/((-12)/14).
12
Suppose 23 = -5*r - 227. Let s be (48/(-20))/((-15)/r). Calculate the least common multiple of 6/(-24) + (-178)/s and 10.
110
Calculate the common denominator of -22/2275 and -9 - (2/(-25))/(2860/321695).
4550
Let d(z) = -z**2 - 1. Let p(j) = -9*j**2 + 25*j - 16. Let i(m) = -6*d(m) + p(m). Let c be i(8). Calculate the common denominator of 123/(-380)*(2/3)/c and 53/2.
380
Suppose z + i = 14, 2*z - 45*i = -49*i + 16. Calculate the smallest common multiple of 148 and z.
740
Let f = -3438 - -3466. Calculate the smallest common multiple of 8 and f.
56
Suppose -3*h - 11 = 4*r - 5, -2*h + 1 = r. Find the common denominator of -53/44 and (r/(-10))/((-324)/(-2205)).
264
Let v = -24501 + 24861. What is the lowest common multiple of 519 and v?
62280
Let r = 11857/22 - 540. Let f = -1579/8 - -199. What is the common denominator of f and r?
88
Let i = -2765 - -4118. What is the smallest common multiple of i and 615?
6765
Suppose -302*u = -336184 - 358080 + 241264. Calculate the smallest common multiple of u and 660.
16500
Let m = 40 - 34. Suppose -3*x = 4*a - 55, 2*a = 5*a + 6. Suppose 5*l - 4*l - x = 0. What is the lowest common multiple of m and l?
42
Let q = 826749/821 - 1007. Let m = 3158/51723 + q. What is the common denominator of -143/126 and m?
126
Let i(f) = -16*f**2 - 4*f - 7. Let n be i(-2). Calculate the common denominator of 43/38 and (n/(-288))/(1/(-14)).
304
Suppose 0 = -2842*k + 2841*k - 4*d + 28, k = -d + 19. Calculate the lowest common multiple of 1008 and k.
1008
Let s = 35268 - 24062. What is the lowest common multiple of 2 and s?
11206
Calculate the common denominator of ((-2)/14)/(5/270) and 469/(-531) - (-10)/45.
413
Let w = 10/3599 + -442877/71980. Let j be 802/(-10) + 30/150. What is the common denominator of 242/j + (-29 - -30) and w?
40
Suppose 22*t = 51 + 169. Let o = t + 0. What is the smallest common multiple of o and 78?
390
Suppose -2*z - 882 = 2*t, -2*z + 0*t + 5*t - 854 = 0. Let i = -428 - z. What is the least common multiple of i and 33?
99
Let k(o) = o**2 - 3*o - 10. Let v be k(-4). Suppose -v*u - 315 = -33*u. Calculate the smallest common multiple of 12 and u.
84
Let h(r) = -r**3 + 7*r**2 + 6*r - 12. Let a be h(7). Let j = a - 22. Calculate the common denominator of -65/6 and (-324)/560 - j/14.
60
Suppose -18 + 66 = 4*y. Suppose 26*s + t + 122 = 30*s, 40 = s - 5*t. What is the least common multiple of s and y?
60
Suppose -2 = 2*k + 4, 4*k = 4*q - 516. Suppose 244*n + 1015*n = -14834 + 139475. What is the smallest common multiple of n and q?
1386
Let s(o) = -17*o + 58. Let x be s(5). Let w(c) = -c**3 - 25*c**2 + 50*c - 66. Calculate the lowest common multiple of w(x) and 28.
84
Calculate the lowest common multiple of 1032 and (-34827)/(-30) - ((-3)/5 - (-42)/84).
9288
Suppose 81*q = 86*q + 710. Let d = q + 158. What is the smallest common multiple of 21 and 17/4 - 1 - 4/d?
21
Let b = 275/224 + -25111/224. Let s(p) = -p - 106. Let a be s(10). Let c = a - b. Calculate the common denominator of c and -149/18.
72
Suppose -32*w + 5*p = -34*w + 3105, 0 = 3*w - p - 4683. What is the smallest common multiple of 182 and w?
10920
Let h = 20359/14828 + 9/674. Let f = 25/748 - h. Calculate the common denominator of f and (-3)/(-48)*2*-33.
136
Let g be (-6 + (-558)/15)/((-1)/20). Let c = g + -2839/4. Let x = -157 + c. Calculate the common denominator of -6/13 and x.
52
Let i(g) = -g**3 + 5*g**2 - 4*g - 3. Let x be i(4). Let b = x - -13. Calculate the lowest common multiple of 4 + (-20)/(20/(-4)) and b.
40
Let s(g) = 8*g**2 + 8*g + 58. Let o be s(-7). Find the common denominator of 79/20 and -11 - -7 - o/(