(i) = i**3 + 2*i**2 - 2*i + 4. Let j be s(-3). Let l = -3959/8 + 486. What is the common denominator of -2 + 27/(-30) + j and l?
40
What is the common denominator of (267*(-1)/(-4))/6 and -3/494?
1976
What is the common denominator of 89/8 and (-1)/(-13)*10*30/(-80)?
104
Let u(n) = n + 19. Calculate the smallest common multiple of 178 and u(-9).
890
Let z be 2*(12/4 + -1). Suppose 31 = 2*q + p, -67 = -8*q + z*q - 3*p. Find the common denominator of (0 - (-1)/4) + q and 97/2.
4
Let o = -12074847451/6309170 - -1843042/965. Let y = o + -48/467. Let u = -17978 - -503459/28. Find the common denominator of u and y.
28
Let n = 1/3409 - -105674/17045. What is the common denominator of -32/5 and n?
5
Let g = 6799/84 - 1209/14. Let w = 10/2557 - 232847/40912. What is the common denominator of w and g?
48
Let c(j) = -2*j**3 - 32*j**2 + 22*j + 70. Calculate the least common multiple of 22 and c(-17).
3014
Let j be 2 - 60418/(-11160) - 3. Let c = 4/1395 + j. What is the common denominator of -29/4 and c?
12
What is the smallest common multiple of 96 and 1/(-9*4/(-72))?
96
Let q be ((5 - 7) + 3)*(1 - 1). Find the common denominator of 17/2 and q/(-1) + (-3)/15*31.
10
Let c = 4 - -12. Let p be -2 + -1 + 105/7. Suppose -p = -q - 4. Calculate the least common multiple of c and q.
16
Let v(j) = j**3 + 7*j**2 - 6*j - 6. What is the smallest common multiple of 28 and v(-7)?
252
Let o be (-16)/(-6) - 7/(-21). Let n be (-27 + o)/(2/(-6)). Suppose 3*x - n = -12. Calculate the lowest common multiple of 16 and x.
80
Let t = -19384 - -3682969/190. What is the common denominator of t and -7/57?
570
Find the common denominator of (-1)/(-14)*(2 + (-819)/14) and 19/36.
252
Calculate the common denominator of (1 - 484/(-40)) + -4 and -4/75.
150
Let r = 39 + -17. Suppose 7*f - r = -4*f. Calculate the lowest common multiple of 54 and f.
54
Suppose -5*d - 55 - 150 = 0. Let w be (-1)/(-8) - (3 - (-64786)/(-48)). Let a = 1337 - w. Find the common denominator of d and a.
6
Suppose -36*k - 120 = -984. What is the least common multiple of 9 and k?
72
Calculate the common denominator of -11/52 and 238/(-234) + -5 + 170/30.
468
Let f(z) = z + 11. Let v be f(-5). Let c = v + -9. What is the common denominator of (11/(-12))/(c/(-30)) and 53/14?
42
Let q(k) = -16*k + 47. Calculate the smallest common multiple of 216 and q(2).
1080
Suppose -453 = -2*t - 3*j, -4*t + 3*j - 8*j + 911 = 0. What is the lowest common multiple of 26 and t?
234
Suppose -90 = -6*i + 48. Suppose -8*k = n - 3*k - i, -3*n = -5*k - 49. What is the lowest common multiple of 22 and n?
198
Calculate the common denominator of (-30)/3750*(2825/4)/(-5) and 69/4.
100
Let f = 62 + 25. What is the common denominator of 19/18 and -1 + (-2)/(40/f)?
180
Suppose w + w - 5*f = 45, -5*w = 5*f - 60. Suppose w = 4*n + 7. What is the smallest common multiple of n and 8?
8
Let t = 3/18998 - -294319/949900. What is the common denominator of t and -101/108?
2700
Let a = 1/89488 + 193355/268464. What is the common denominator of a and -59/6?
168
Suppose 3*o = -107 + 188. What is the lowest common multiple of 6 and o?
54
Let u(y) = 2*y**2 - 67*y + 281. What is the smallest common multiple of 49 and u(31)?
882
Let f(x) = 16*x**3 - 4*x**2 + 6*x - 2. Let h be f(2). Calculate the common denominator of 0 + (75/27)/1 and (-14)/21 - h/(-18).
9
Let g = 57 + -25. Suppose 16*k = 8*k + g. What is the smallest common multiple of (-2 + 84/9)*3 and k?
44
Suppose -2*v + 4329 = -4*x - 6431, 5*x = -3*v + 16140. Suppose 0 = 2*o - 1630 + v. What is the common denominator of (o/15)/(1*12) and -101/6?
12
Suppose 0 = 3*o - 12 + 3, -5*o + 70 = 5*r. Suppose v - 17 - r = 0. Let t = -25 + 35. What is the lowest common multiple of t and v?
140
Let x(i) be the third derivative of 0*i - 4*i**2 - 2/3*i**3 + 1/120*i**6 + 0*i**5 + 1/12*i**4 + 0. What is the lowest common multiple of 10 and x(2)?
40
Let d be (-7)/((-35)/2402) + 4/(-10). What is the common denominator of 44 and (-1)/(-6) - 254/d?
80
Let v(z) = 24*z**2 - 1. Let r be v(-1). Let m = 6 + -2. Suppose -m*u = -b + r, -u - 2 + 19 = 3*b. Calculate the lowest common multiple of b and 2.
14
Let v = 390660125 + -3472968583229/8890. Let q = 3/889 - v. Let y = -9127 - -182453/20. What is the common denominator of y and q?
20
Suppose -2*o = 8, -3*o - 168 = 3*i - 5*i. What is the common denominator of 52/7 and i/170 - -1*4/(-10)?
119
Let y = 141925/16 - 35413/4. Let o = 37/16 - y. Find the common denominator of 87/4 and o.
4
Let j be ((-2)/(-4))/((-17)/34). Calculate the common denominator of -17/8 and 2 - (-556)/(-48) - j.
24
Let d = -10300 - -5283. Let o = -34194182595/6807038 + -26/486217. Let u = d - o. Calculate the common denominator of u and 5/8.
56
Let d be (-1)/(2/(-14) + 0). Let b(q) = -6 - q**3 + 3*q + 15 + 8*q**2 - 8*q - 12. Calculate the least common multiple of b(d) and 1.
11
Suppose 20 = 4*z, -3*n - 2 = -4*n + 4*z. Let o = 4 + -1. Suppose -o*v - 3*d = -30, 3*v - d + 0*d = 46. Calculate the smallest common multiple of n and v.
154
Let j be (-4924)/(-48)*2 - -1. Let h = -3014/15 + j. Find the common denominator of -38/51 and h.
510
Let l(f) = -2*f + 22. Let c be l(9). Suppose 3*k + 5*t = 15 - c, -5*k - 3*t = -45. What is the least common multiple of 20 and k?
60
Let h = -12 + 16. Let k be (2 - h)/(-2)*4. Suppose 12 = -k*c + 28. Calculate the lowest common multiple of 16 and c.
16
Suppose -g + 3*g = -4*l - 12, -3*g = 5*l + 16. Calculate the smallest common multiple of 22 and (l - 0)*(3 + -12).
198
Let q be (18/60)/((-3)/(-25076)). Let i = q - 2483. Let w = -37 + i. What is the common denominator of -25/4 and w?
20
Let n = 3/664 - -2447/332. Find the common denominator of n and 4/18 + 91/(-42).
72
Let r be 1/(-6) + (-269)/6. Calculate the smallest common multiple of 10/r + (-202)/(-18) and (2/4)/((-7)/(-98)).
77
Suppose -11*j + 9*j + 40 = -4*g, 10 = -2*g. Let z = 0 + 2. Calculate the least common multiple of z and j.
10
Calculate the lowest common multiple of 36 and -15*(7 - (-212)/(-20)).
108
Let z be 4/(-2)*(-3)/6. Calculate the common denominator of (z/36)/((-3)/222) and 452/(-24) + 2/(-6).
18
Let j(u) = -18*u + 134. Calculate the lowest common multiple of 166 and j(7).
664
Let w = -153881333/139596 - -3/46532. Let f = w - -1086. What is the common denominator of 27*8/(-120) - 3/(12/8) and f?
15
Let j = -7286 + 101907/14. What is the common denominator of j and 381/(-5)*(1383/126 - 11)?
70
Suppose -4*b - 7*t + 66 = -9*t, 0 = b - 3*t - 9. What is the least common multiple of b and 33?
198
Let r = 527 - 1589/3. Let i = 3060 - 27499/9. Find the common denominator of r and i.
9
Let g(q) = -38*q**2 - q**3 + 46*q**2 - 4*q - 2*q + 2 + 3. Let l be g(5). Calculate the common denominator of -61/16 and (l/(-120))/((-1)/(-14)).
48
What is the common denominator of -61/168 and (244/(-140))/(24/5 + -2)?
1176
Let u = 4751/2220 + -1/148. Let w = 819/88 + -49/8. What is the common denominator of u and w?
165
Suppose 0 = d - 2, 6*k - 3*d = k + 74. Calculate the least common multiple of 8 and k.
16
Calculate the smallest common multiple of (36/(-336)*16)/(2/(-14)) and 4.
12
Suppose y + 5*u = -4*y + 25, -4 = -5*y + 2*u. Calculate the lowest common multiple of (1392/30)/8 + (-3)/(-15) and y.
6
Let x = 11 - 7. Suppose 2*p = -u + 112, -p - x*u + 27 + 29 = 0. Suppose -p = -3*h - h. What is the lowest common multiple of 22 and h?
154
Let k(j) = 1 - 3 - 2*j**2 - 1 + 12*j**2 - 2*j. Let l be k(-2). Suppose 3*q + 5 = l. What is the least common multiple of 8 and q?
24
Let v = 28 - 503. Let w = v - -931/2. Calculate the common denominator of 20/7 and w.
14
Suppose w + 5*m = 27, -2*w = -3*m - 2*m + 21. Suppose 1 = -w*c - 1. What is the least common multiple of (-3)/c*(-10)/(-3) and 6?
30
Let i be ((-12)/10)/(39/130). Find the common denominator of (4/(-12))/(i/105) and ((-345)/18)/(2*(-2)/(-2)).
12
Let t(k) = -k**2 - 8*k + 6. Suppose -a = -5*a. Suppose -4*w + 8*w - 40 = a. What is the least common multiple of w and t(-8)?
30
Suppose f - 8*f = -56. Let m(y) = y**2 - 12*y + 8. Calculate the lowest common multiple of m(14) and f.
72
Let u = -2318 + 11544/5. What is the common denominator of u and 17/75?
75
Let b(c) = -2*c + 8. Let v(p) = -3*p + 9. Let f(i) = 6*b(i) - 5*v(i). Let k be f(-2). Calculate the common denominator of k/10*(-202