*t**2 - 2*t - 6. What is the lowest common multiple of n and f(-10)?
42
Let i = -990/49 - -82503/4018. Let a = 1157/2214 + i. What is the common denominator of a and 59/126?
378
Let a be 1/50*((-84365575)/56)/5. Let j = a - -6026. Find the common denominator of j and -49/60.
240
Let j(p) = 2*p**2 + 4*p. Let h(d) = -5*d**2 + 568*d + 2355. What is the lowest common multiple of j(4) and h(-4)?
48
Let c = -6204/5 - -1246. Let q(f) = -11*f**2 + 3*f**2 + 10*f + 9*f**2 - f + 17. Calculate the common denominator of c and q(-10).
5
Let o = 168 - 173. What is the common denominator of (5 - -4) + o + 46/(-4) and -4/9?
18
Let s = -2899 - -2953. Let h(q) = q**2 + 4. What is the smallest common multiple of h(-4) and s?
540
Suppose 7*g + 6*g = 767. Find the common denominator of (-20 - g)*(-1)/30 and ((-2)/(-6))/((-5)/(-81)).
30
Let i(a) = -2*a**3 - 40*a**2 - 14*a + 34. Let v be i(-21). Find the common denominator of -19/72 and (-6)/200*v/(-24).
720
Let o be 45 + (9/(-10) - (-3)/(-30)). Suppose 4*a - 2*h = 162, -6 + o = a + 2*h. Calculate the smallest common multiple of a and 16.
80
Let r = 133787/27 + -4956. Let j = -383998/39 + 9847. Find the common denominator of j and r.
351
Let l = 44 + -26. Let g = l - 16. Suppose -g*r + 15 = -1. Calculate the smallest common multiple of 22 and r.
88
Suppose 3*k = 5*f - 241, -f - 2*k = -6 - 50. Let g(b) = -b**3 + 13*b**2 - 12*b + 15. Calculate the lowest common multiple of g(12) and f.
150
Let r = 22/15087 + 653747/17259528. Calculate the common denominator of 39/8 and r.
1144
Let p = 158256 + -158254. Suppose -x - 9 = -k, 2*k + 0*x - 15 = x. Suppose 0 = -3*u + k. Calculate the lowest common multiple of p and u.
2
Find the common denominator of 45/23 and (-2)/2*3 + 6235/(-2175).
345
Let z = 128 - -55. Suppose 9*i - z = 51. Calculate the least common multiple of i and 5.
130
Let r = 1111928947121/52753 - 21078023. Let x = 360516519/42835436 + r. Let p = 5/1218 + x. Find the common denominator of p and 3/28.
84
Suppose -s - 98*k + 421 = -101*k, -k = -4*s + 1717. What is the least common multiple of s and 10?
430
Suppose -5*p + 18 = 2*o - 44, -5*p - 118 = -3*o. Let j = o - 33. What is the common denominator of -79/82 and 9/(-12) + 22/j?
492
Let d(k) = -67*k + 730. Calculate the least common multiple of 32 and d(10).
480
Suppose 0*m + m = 72. Let z(k) = 35*k**2 - 333*k + 46. What is the least common multiple of z(10) and m?
216
Let k = -2512 + 3582. Calculate the least common multiple of k and 20.
2140
Let o be 88/14 + 1440/105 + -14. Suppose -15*v - o = -96. What is the lowest common multiple of 144 and v?
144
Suppose -24 = -19*a + 14. Calculate the common denominator of 16/18*11/(-6) and 4/a - 760/(-57).
27
Let l(p) = 7*p + 2. Let w(u) = -2*u**3 - 76*u**2 + 1456*u + 8. Calculate the least common multiple of l(2) and w(14).
16
Let b = -125869/993510 + 112/855. Calculate the common denominator of -79/6 and b.
3486
Let z = 1163 - 1020. Suppose 5*b = v - 30, -145*b + z*b - 10 = 0. What is the smallest common multiple of 0/(-1) - (-1 - 14) and v?
15
Let x = 119630 + -720113/6. Let c = 384 + x. Calculate the common denominator of c and -93/104.
312
Let s(b) = b**3 + 13*b**2 - 25*b + 10. What is the lowest common multiple of 44 and s(-14)?
1804
Suppose -1764 = -2*y - 3*h, 0 = -y - 3*h + 685 + 203. Calculate the lowest common multiple of y and 9.
2628
Suppose d + 1242 = 3*k, 5*k - 16*d = -21*d + 2050. Let l = -401 + k. What is the smallest common multiple of l and 28?
84
Let p = -6/12247433 - -5279562180583/220453794. Let m = 23941 - p. What is the common denominator of m and 0 - 16/(-52) - 50668/(-14469)?
126
Suppose -5*o + 2303 = -3*c, -o + 7*c - 12*c + 455 = 0. Calculate the lowest common multiple of o and 1840.
1840
Let w(k) = 5*k + 33. Let g be w(-17). Let f = g - -84. Suppose 3*d - 2*u = 1 + f, 2*u - 11 = -d. Calculate the smallest common multiple of 41 and d.
451
Let w(s) = -11*s**2 + 2*s - 6. Let z be w(-8). Let f = -36697/84 + 3110/7. Calculate the common denominator of (-2)/3 + 3179/z and f.
132
Let t(o) = 21*o - 27. Let f be t(5). Suppose -h - l - 4*l = 46, -2*h = 3*l + f. Let j = -33 - h. What is the least common multiple of j and 8?
24
Suppose -2*b + 5*i - i = -8, 0 = -5*i - 25. Let w = -5/6994 - -402215/83928. Calculate the common denominator of w and 2 + (-21)/12 - 44/b.
24
Let l(x) = -75 - 3*x + 157 - 74. What is the smallest common multiple of 6 and l(-6)?
78
Suppose -8*w = -12*w + 296. Let x = -59 + w. What is the common denominator of (-15)/3*14/x and 125/6?
6
Suppose -42*x = -160*x - 5310. What is the common denominator of x and -71/99?
99
Let i = -9311990/563 + 16540. What is the common denominator of i and 37/7?
3941
Let w be 161/49 - 2/7. Suppose -14 = w*n - 5*n. Suppose 0 = 2*i + 6*x - 14 - 4, -9 = -i + 3*x. What is the smallest common multiple of i and n?
63
Let y = -2/1945525 + -165366369/3167314700. Calculate the common denominator of y and -31/37.
1628
Let m = 200812497/676 + -297060. What is the common denominator of 121/130 and m?
3380
Let g = 108 - 109. Let m = -4607/20 - -461/2. Find the common denominator of 3 - g*(-18)/32 and m.
80
Calculate the common denominator of -151/1092 and (-2 - 260/(-28))*(-80)/(-180).
1092
Let n be (-16)/(0 + 4/(-4)). Let b be 27/(-18) + (-374)/n. Let c = b - -99/4. What is the common denominator of c and 29/6?
24
Suppose 4*i + 101*k - 568 = 99*k, 0 = -5*i + 4*k + 736. What is the least common multiple of i and 196?
7056
Let u be 9 + ((-27)/6 - 8/16). Calculate the lowest common multiple of 54 and ((-22)/u)/((26/(-12))/13).
594
Let n be 21/12 - 1 - (-3970)/8. Suppose 14*m = 301 + n. Calculate the smallest common multiple of 9 and m.
171
Suppose -m = 3*a - 9, -4*m + 24 + 23 = a. Let p be (-465)/m + (-7)/28. Let x = 110 + p. Calculate the lowest common multiple of 7 and x.
497
Suppose -32 = -q + r + 8, 0 = -r. Let g = -2821 - -2866. Calculate the least common multiple of q and g.
360
Let j(c) = -7*c**3 - c**2 + 6*c - 4. Let q be j(3). Let p be (-13)/(39/q) + 4/6. Calculate the common denominator of p/(-10) + (-30)/(-15) and 0.
5
Suppose -p - 13*i + 12*i + 7 = 0, i = 3. Suppose 0 = -2*u, -p*b + 0*u + 2*u + 16 = 0. Calculate the smallest common multiple of 32 and b.
32
Suppose 0 = -2*z - 2*q + 568, 1428 = 5*z - 16*q + 13*q. Let l = -229 + z. What is the least common multiple of 10 and l?
280
Let q = 13149/2 + -216880/33. Find the common denominator of q and 5/44.
132
Let r = -11579 - -11611. Calculate the lowest common multiple of 4828 and r.
38624
Suppose -2*f + 74 = 66, -f = z - 494. Calculate the lowest common multiple of z and 700.
4900
Let a = 3899/4 + -966. What is the common denominator of a and (-38)/95 - (-674)/(-40)?
4
Let g be 1 + -3*3/(-9). Suppose -3*s + 0*s + g*t + 83 = 0, -t = 3*s - 71. Calculate the smallest common multiple of s and 5.
25
Let b(o) = o**3 - 2*o**2 + 16. Let p be 1 + 3 - (-15)/((-15)/4). Let v = -67 + 83. What is the smallest common multiple of v and b(p)?
16
Suppose -100462 - 50948 = -490*y. What is the smallest common multiple of y and (-2)/4*(-9 + 1)?
1236
Let p(c) = 4*c - 4. Let x be (-3*(-4)/(-12))/(5/(-45)). Suppose 7*v = 2*v + y + x, 4*y - 2 = v. What is the least common multiple of v and p(3)?
8
Calculate the common denominator of -7/216 and (-1212)/(-36)*(-19)/(-2052).
648
Suppose -43*b + 69*b - 44*b + 90 = 0. Calculate the least common multiple of b and 5 + 2 + (-2 - -75).
80
Suppose 0 = 5*w + 5 + 10. What is the lowest common multiple of ((-1)/3)/(w/63) and -4*(((-2)/(-11) - (-1190)/(-374)) + -4)?
28
Suppose 0 = -27*x + 22264 + 25985. Calculate the least common multiple of x and 6.
10722
Let q = -104413 - -3132341/30. Let g = -2 + 2. Find the common denominator of q and g + -1 + 170/18.
90
Let l = 6727/6 + -16824233/15006. Let u = 60019/12505 - l. Calculate the common denominator of u and -2 + -2 - ((-485)/(-10) - 3).
10
Let q = 4 + -10. Let j = q - -16. Suppose 27*a - 22*a - j = 0. Calculate the lowest common multiple of 1 and a.
2
Let n(f) = -6*f**2 + 14*f - 78. Let q be n(7). Find the common denominator of -53/7 and q/182 + (-39)/(-91).
91
Let r = 15076476 - 663959707/44. Let w = r - -13519. Find the common denominator of w and 149/12.
132
What is the smallest common multiple of ((-869)/(-55) - 11)*45/12 and 550?
4950
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