 t.
5
Let l(z) = -z**3 + 16*z**2 - 13*z - 7. Let q be l(10). Let f = q + -4171/9. What is the common denominator of f and -36/49?
441
Let i = -709 - -714. Calculate the smallest common multiple of i and 150.
150
Suppose 80*t = 72*t + 16. Let o be (6 - (2 + -1))*2. What is the lowest common multiple of 3 and ((o + t)/(-2))/((-14)/77)?
33
Let v = -66 + 46. Calculate the common denominator of 2*1 + (-214)/v + -5 and (-21)/(-4)*(-6)/(-8).
80
Let o = 757894 + -541136179/714. What is the common denominator of -29/21 and o?
714
Let c(x) = -207*x + 6. Let w(n) = -2*n - 1. Let g(v) = -c(v) - 9*w(v). Let r be g(-18). Calculate the smallest common multiple of 24 and r/(-133) + (-3)/7.
120
Let m = -123 - -214. Let a = m - 77. Calculate the smallest common multiple of a and (-1)/(-4) - 381/(-12).
224
Let j(a) = 6*a - 62. Let w be j(12). What is the common denominator of 5/6 and (-89)/w*5/144*2?
144
Let i(v) = -3*v - 3 + 4 - 1. Calculate the least common multiple of i(-2) and ((-55)/(-10) - 4)*(3 - -19).
66
Let l = 23145 - 9442. Suppose 2*n + k = -l, -n - 7327 = -4*k - 489. Calculate the common denominator of 47/33 and ((-2)/8)/((-75)/n).
66
Let z = -2297/2 + 1180. Let y(a) = 5*a + 23. Let b be y(-13). Calculate the common denominator of (192/99)/((b/9)/(-7)) and z.
22
Calculate the common denominator of 11/132*(-1)/(2/500) and -107/3000.
3000
Suppose 5*a = 3*d + 6550 - 215, -d - 6345 = -5*a. Let b = -34285/27 + a. Find the common denominator of b and 19/9.
27
Let m(x) = -598*x - 163. Calculate the least common multiple of m(-1) and 2.
870
Let f be (-4)/38 + 46245218805/5492574036. Let n = -1/892231 - f. Let r = n + 83/76. Calculate the common denominator of -22/7 and r.
63
Let c = 2/33511 + 301595/67022. Calculate the common denominator of -35/14738 and c.
14738
Suppose 0 = 4*j - 3*l - 174, -179 = -4*j - 4*l + 9. Suppose j = 4*x - x. Suppose -40 = -19*q + x*q. Calculate the lowest common multiple of q and 22.
110
Let d = -20879927/130 + 160614. Find the common denominator of -54/299 and d.
2990
Let o = -32936 - -33177. Calculate the lowest common multiple of o and 1687.
1687
Suppose 4*f = 8*f + 5*x - 140, 0 = 4*f - x - 164. Let y be f/808*(-14)/(-5) - 0. Let b = y - -483/1616. What is the common denominator of -77/20 and b?
80
Suppose 5*t + p = -2*p - 39, 2*p = 5*t + 49. What is the least common multiple of 126/(-5)*(4 + t) and (-1)/((-3)/2)*33?
1386
Suppose -19*s + 18*s = -3*o - 462, 3*s + 2*o = 1375. Calculate the least common multiple of s and 255.
2295
Let f = -2/23703 - -126602/2204379. Calculate the common denominator of f and 82/21.
1953
What is the least common multiple of -1 - -2 - -13*3 and (1 - (-285)/39) + (-3232)/10504?
40
Let v = 138 + 163. Suppose -v*z = -306*z + 390. What is the least common multiple of z and 2?
78
Let k = -2/14195 - -2200243/127755. Let s = -31/9 - k. Find the common denominator of -54/35 and s.
105
Suppose 2*o - 38 = t - 5*t, -t - o + 12 = 0. Suppose 6*r + r = t. Calculate the least common multiple of 8 and 2 - -2 - (r - 11).
56
Suppose 22*o + 20 = 23*o + 3*g, 3*g - 28 = -2*o. Let h = 8 + -19. Let r = 20 + h. Calculate the least common multiple of r and o.
72
Let y = 189 - 63. Let a(o) = 4*o - o**3 + 0*o - 60 + y - 3*o**2 - 60. Calculate the smallest common multiple of a(-4) and 7.
42
Let m = 597 + -397. Suppose -q - 2*q = -5*i + 336, q + m = 3*i. What is the least common multiple of i and 36?
396
Let h = 3055 + -2767. What is the lowest common multiple of 7 and h?
2016
Let c(z) = -232*z**3 + z**2 + z + 1. Let m be c(-1). Let n = m + -219. What is the lowest common multiple of 28 and n?
28
Suppose -4*i = -11*i - 2464. Let y be (-2)/6 + 3791/51. Calculate the common denominator of 57/68 and y/(-5)*(-120)/i.
748
Suppose -648 = 22*p - 1924. Find the common denominator of -43/12 and (p/(-4))/((-50)/20).
60
Suppose 5*x + 24 = -3*r - 7, 4*r - 5*x = -18. What is the smallest common multiple of ((-8181)/(-9))/9 - r and 44?
1188
Calculate the common denominator of -6*(-2)/24 - (-93)/(-21) and -9/146.
1022
Let a be (-9)/2*150/(-225). Suppose -2*i - 62 = 24*w - 28*w, -w - a*i + 5 = 0. Calculate the lowest common multiple of 63/4 - 1/(-4) and w.
112
Let i be 1 + 1 + 416559/20. Let p = 23574 + -2738. Let r = i - p. Calculate the common denominator of r and 11/10.
20
Suppose -5*u + 11*w - 6*w = -1045, 3*u + 3*w = 657. Suppose 27*f - 32*f + u = 4*k, -k + 1 = 0. What is the smallest common multiple of f and 27?
378
Let y = 346291/4 - 90432. Let k = y - -3835. Find the common denominator of 29/2 and k.
4
Let t be 6 - (32598/120 - -4). Let o = 1378/5 + t. What is the common denominator of o and -41/35?
140
Suppose 4*f + 0*f + 24 = 2*c, -4*c = -16. Find the common denominator of (-7 + 229)*f/(-80) and -51/2.
10
Let d be (36/10)/(1/(-5)). Suppose 15911*z = 15904*z - 56. Calculate the common denominator of (z - 15)/(d/(-1)) and -42/5.
90
Suppose -1160066 = -367*g + 631261. Calculate the lowest common multiple of 2 and g.
9762
Let d = -45 + 50. Suppose 2*w = d*h + 15, 4*w + 0*w = -2*h + 18. Calculate the common denominator of 125/6 and (-175)/(-40) + h/(-6).
24
Suppose 20*h = 24*h - 220. Let n = h + -36. Find the common denominator of 12/16 - (n/2 + -2) and -25/11.
44
Let y be 3711822/4*10/(-795). Let i = y + 11672. Calculate the common denominator of 15/11 and i.
583
Let b = -13865501/27 - -513538. Let j = 409/4 + -90. Calculate the common denominator of b and j.
108
Let s = -22 + 24. Let f be (5 + (-8)/s)*-3. What is the common denominator of (f - 40/(-7)) + -2 and -107/6?
42
Let s = 4182 + -4123. What is the smallest common multiple of 649 and s?
649
Let n be 3/(-5) - 17356/240. Let u = n - -3661/60. Find the common denominator of ((-10)/25)/(8/(-58)) and u.
10
Suppose -5*a + 9*i - 1449 = 11*i, 2*i + 576 = -2*a. Let h = 390 + a. What is the lowest common multiple of 99 and h?
99
Suppose -32*d = -30*d - 6. Suppose 3*m - 114 = 5*f, -96 = -d*m + 3*f + 12. What is the least common multiple of 36 and m?
396
Suppose 5*c + 6*v = 4*v + 1618, 647 = 2*c + v. Suppose 5*l + c = 11*l. What is the smallest common multiple of l and 4?
108
Suppose 140*o - 141*o + 15 = 0. Let x(r) = 7*r - 66. Calculate the lowest common multiple of 39 and x(o).
39
Let h be (-1)/2*(2 + -6). Suppose -3*p + 9 = -h*p. Suppose 30 = 3*o + 3*w, o - 16 - p = -4*w. Calculate the smallest common multiple of 19 and o.
95
Let v = -45 + 31. Calculate the smallest common multiple of 18 and (12/v)/(4/(-252)).
54
Let t(p) = -p**3 + p - 13. Let v be t(0). Let w = v + 18. Calculate the smallest common multiple of (21 + 1638/(-98))/(12/28) and w.
10
Let x = -1044087/34 - -30711. What is the common denominator of x and 26/(-182) + 29*(-1)/(-56)?
136
Let o(d) = 72*d**2 + 36*d - 6. What is the smallest common multiple of 525 and o(3)?
5250
Calculate the smallest common multiple of (27/24*2)/(62/744) and 192.
1728
What is the common denominator of (-71792)/17472 + -3*(-1)/3 + 3 and 163/60?
780
Let q = -12896 + 28726. Suppose -2*y + 3*s = 3*y + q, y + 3189 = -4*s. Let v = 34913/11 + y. Find the common denominator of -101/72 and v.
792
Let r be (-2)/(-39)*-3 + (-36)/(-150). Let w = r + 21899/13650. What is the common denominator of -37/126 and w?
126
Let c(l) = -3*l**3 + 3*l**2 + 3*l - 3. Let k(u) = u**3 + 4*u**2 - 5*u - 2. Let r be k(-5). Let g = -16 + 43. What is the least common multiple of g and c(r)?
27
Let c(d) = -d**3 - 13*d**2 + 13*d - 6. Let k be c(-14). Suppose 0 = -k*o + 3*o + 870. Calculate the common denominator of 3/18*o/(-4) and 59/6.
12
Let a(q) = -q**2 + 7*q - 10. Let d be a(4). Calculate the lowest common multiple of 7 and 168/112 - d/(-4).
14
Let c = 16475 - 16253. What is the smallest common multiple of c and 444?
444
Let q = -198985/36 + 5527. Let u = 6166529/1320 + -51375/11. What is the common denominator of u and q?
360
Let y = 7764 + -30869/4. Let g = 379/8 - y. Find the common denominator of -7 - (-747)/72 - 1 and g.
8
Let x = 116 - 95. Calculate the common denominator of 1 - (6/x - (-889)/(-882)) and -79/2.
18
Let r(c) = 9*c**2 - 130*c - 56. Calculate the smallest common multiple of 260 and r(18).
520
Suppose 5*i = 2*i + 5*p + 38, 5*i - 5*p = 70. Suppose -154 = -4*r + 4*a + 30, 0 = 4*a + i. What is the lowest common multiple of 120 and r?
840
Calculate the common den