i(x) = -x**2 - 5*x + 52. Let o be i(-25). Let a = o - -899/2. Calculate the common denominator of -99/76 and a.
76
Suppose -2*u + 94 = 2*z, -587*u + 585*u = 3*z - 142. What is the smallest common multiple of z and 201?
3216
Let l(o) = 150 - 150 + 1110*o. Let a be l(-3). Let v = a - -76577/23. What is the common denominator of v and 13/11?
253
Let f(r) = -r**2 - 26*r - 28. Let w(s) = 2*s**2 + 21*s + 20. Let t be w(-8). Calculate the smallest common multiple of 14 and f(t).
644
Let b(c) = -c**3 - 16*c**2 - 4*c - 16. Let n be b(-16). Suppose 0 = -3*w - n + 57. Calculate the smallest common multiple of (-6)/(-15) - 106/(-10) and w.
33
Let c be (3/(-2))/(6/(-20)). Let n = 2715 - 38027/14. What is the common denominator of n and 22/17 - c/(-10)?
238
Calculate the common denominator of -167/42 and -11*(-8)/(-12880)*(-28)/24.
9660
Suppose 4762 + 12509 = 453*z - 4473. Let n(j) = 15*j**2 - 1. Calculate the lowest common multiple of z and n(1).
336
Let l = -20682889/60074632 - -1253/3701. Find the common denominator of l and -13/12.
48696
Let w(k) = 7*k**2 + 7*k + 18. Let u be w(9). Let s = -10451/16 + u. Find the common denominator of 298/176 - (-10)/55 and s.
16
Let t(o) = 35*o - 81. What is the least common multiple of t(27) and 480?
4320
Let n = 112 + -622. What is the common denominator of (-2)/(-1 - -7) - 17/n and 27/5?
10
Let i = 94811 - 156153709/1647. Find the common denominator of 68/183 and i.
1647
Let x = 130135959/3976 + -229112/7. Find the common denominator of x and 99/142.
568
Let d = 353744759/1494 - 150232/747. Let l = -235803 + d. Let j = l + -778. Find the common denominator of 19/92 and j.
276
Suppose -2*q - 2386 = -4*l, 0 = 56*q - 61*q - 25. What is the lowest common multiple of 594 and l?
594
Find the common denominator of (-49)/(-35) - 3*8444/16380 and -40/39.
273
Let q be 1 - -4 - ((-13884)/2313 + 11). Let b = 17761/10794 - q. What is the common denominator of 50/3 and b?
42
Let j = 163723/19965 + -2/3993. Let c(g) = -4*g + g + 2*g - 5. What is the common denominator of c(-9) and j?
5
Suppose -3*y + 4*c = 17, 5*y + 0*c - 2*c + 33 = 0. Let f = 18/475 + -28036/12825. Calculate the common denominator of (-70)/(-36)*y/5 and f.
54
Let n = -6599 - -6698. Calculate the smallest common multiple of (-1)/5 - (-452)/10 and n.
495
Calculate the common denominator of 3290/(-22184) + 2/12 and -101/12.
708
Let x = 2/1645 + 1117/1316. Let j = 5313/19 - 362823/1292. What is the common denominator of x and j?
340
Suppose 9*j = 10*j - 2. Let v be 7767727/1144 + (j/13)/1. Let y = -6778 + v. Find the common denominator of y and 49/9.
72
Suppose 984 = -3*p + 6*p. Suppose 165 = 4*t - d, t + 27 = -4*d + 47. Calculate the smallest common multiple of p and t.
1640
Let n(j) = -2*j**3 - 12*j**2 + 4*j + 34. Let t = -269 + 263. What is the least common multiple of n(t) and 3?
30
Let k be -10 - (-1715)/21 - (-1)/2. Let z = k + -167/3. Find the common denominator of 466/112 + (-6)/21 and z.
8
Suppose -5*i + 8078 = -12047. Let h = -3610655 - -54099404/15. Let r = i + h. Find the common denominator of 25/8 and r.
120
Let k = 47 + -14. Suppose 0 = -285*f + 53299 - 10549. Calculate the least common multiple of k and f.
1650
Let r = 72 + -32. Calculate the common denominator of -3 + (4 - 155/(-120)) and (-14)/(-24) + 20/r.
24
Find the common denominator of 55/7 and (4899/(-92))/(4 - -5).
84
Let a be (-128 - -122)/(((-2)/(-136))/1). Let z be (778/(-18))/(128/(-1200)). Let s = z + a. What is the common denominator of -73/30 and s?
120
Calculate the smallest common multiple of 3141 and 406/17 + ((-280)/170)/(-14).
25128
Calculate the common denominator of 33/10 and (42/(-30))/((-48321)/525).
23010
Suppose -18*d - 30045 = -82*d + 10659. Calculate the smallest common multiple of d and 8.
1272
Let k(h) = -4*h**3 + 44*h**2 + 4*h. What is the least common multiple of k(11) and 152?
1672
Let b = -33608/351 - -1238/13. Find the common denominator of b and -8/2781.
2781
Let q be 60/(-8)*12/(-30). Suppose 76 = q*d - 0*y - 5*y, 4*y + 8 = 0. Calculate the least common multiple of 90/(-27)*(-8)/(-60)*-18 and d.
88
Let i = 317/24 - 65/6. Let o = -8827/4 + 2227. Find the common denominator of i and o.
8
Find the common denominator of -137/540 and (-8 - (-5170)/240) + -14.
1080
Let s be (-1 - 0)*0 + -11 + 41. Calculate the least common multiple of 2 and s/(-8)*(-4 + 12)*-1.
30
Suppose -7*c = 51 - 37. Find the common denominator of (-157)/(-198) - (5 + c)/27 and -11/13.
286
Let c(t) = 11*t - 149. Let z be c(25). Let b(h) = h**3 + h**2 - 3*h - 1. Let d be b(-2). What is the common denominator of 63/20 and (-309)/z + (-1)/d*0?
420
Let w(z) = z**3 + 9*z**2 + 33*z + 202. Let i = 15 - 16. What is the lowest common multiple of i/((-32)/28 - -1) and w(-8)?
14
Let r be (9 - (-5 - -10))/(6/(-396)). Let m = -5 - -3. Find the common denominator of -28/15 and (m - -4)/((-90)/r).
15
Let a = 4/2945 + -72/155. Let s = a - 3761/1520. Calculate the common denominator of s and 19/44.
176
Let l = 15182 + -14090. Calculate the smallest common multiple of 3003 and l.
12012
Let y = -8 - -5. Let u be (-40)/(-24) + (-1)/y. Calculate the least common multiple of 17/(340/264) + u/(-10) and 11.
143
Suppose -5*d - 238*n + 236*n + 2998 = 0, 2*d - 1234 = 5*n. Calculate the smallest common multiple of 9 and d.
5418
Let a = -579 - -1197/2. Find the common denominator of a and (-3 + 3810/1296)/((-64)/21 - -3).
72
Let g(m) = -m**3 + 14*m**2 + 22*m - 146. What is the smallest common multiple of g(14) and 18?
162
Let r = -36425 + 30342021/833. What is the common denominator of r and 31/28?
3332
Let l = -2/13563 + -13451/759528. Find the common denominator of 59/5229 and l.
41832
Find the common denominator of -139/66 and (426/(-9940))/(18/(-763)).
660
Calculate the common denominator of (45/36)/(-5) + 626/72 and (((-4)/72)/(4/596))/(-3).
54
Let z = 83 - 37. Suppose p = -5*h + 73, -p + 4*h + 0 + z = 0. What is the least common multiple of p and 8?
232
Let r = 307 + -310. Find the common denominator of 22/r*378/2304 and 121/72.
576
Suppose -3*z = 3*t - 702, -5*z + 3*t + 541 = -597. Let k = 74489/13680 - 1/1520. Calculate the common denominator of k and z/(-9) + (-4)/(-18).
9
Let j = 13175 - 9287. Calculate the least common multiple of 8 and j.
3888
Let m be (-81)/216 + (-39597)/(-2040). Let c = m - 256673/13685. Calculate the common denominator of c and 99/2.
322
Suppose 0 = -g - 5, 2*u - 6*u - g = 1. Let y be 2/(u + 3)*20. What is the common denominator of (y/25 + 1)/(18/95) and 64/15?
90
Let v be 324/(-135)*1/639. Let c = -1937/5325 - v. Find the common denominator of c and -167/60.
300
Let l be 16470/(-200) + (-2)/8. Let y = l - -5291/60. Calculate the common denominator of -1 - 98/10*(-4)/(-8) and y.
60
Find the common denominator of -48 + 60 - 38/3 and -61/333.
333
Suppose 0 = 5*s - 4*q - 306, -51 = 4*s - 2*q - 297. Let y be (-102)/408 + 334/(-8). Let d = y + s. What is the lowest common multiple of d and 44?
220
Suppose 5*n - 159*i - 318 = -162*i, 2*i + 250 = 4*n. Calculate the least common multiple of 189 and n.
189
Let v(w) = -12*w**3 - 133*w**2 - 20*w - 95. What is the smallest common multiple of 33340 and v(-11)?
33340
Let c = -710 + 665. Find the common denominator of -109/40 and (39/c)/(36/(-45)).
120
Let q = -30 - 266. Let y = q - -329. Calculate the lowest common multiple of 87 and y.
957
Suppose 13*q - 40 - 870 = 0. Suppose 0 = -37*s + 27*s + q. What is the smallest common multiple of 7 and s?
7
Suppose -25 = 7*u - 74. Let j be (-129)/(u/(14/(-3))). Suppose 0 = -7*d + j + 12. What is the smallest common multiple of 3 and d?
42
Let j = -4901 - -19703/4. Calculate the common denominator of 51/30 - (-28)/(-20) and j.
20
Suppose 4*k - 1694 = 17*k - 758. Let n(o) = 11*o**2 + 2*o - 1. Let h be n(-3). Let m = k + h. What is the smallest common multiple of 20 and m?
20
Let x = 3513/5 - 42371/60. What is the common denominator of -19/3 and x?
12
Let k = 11279/25584 + -56/123. What is the common denominator of -37/2 and k?
208
Suppose 392 = 7*s + s. Let t be 4/14 - 14/s*-6. Find the common denominator of 1 + (t - 442/48)/1 and -145/6.
24
Suppose a + 5*c - 7 = 0, a + 125 = 6*a - 5*c. Let d(o) = o - 15. Let l be d(12). What is the least common multiple of a and (-4)/8 + 2 + l/(-6)?
22
Let d(s) = -s**2 + 4*s + 11. 