 - 150185/4375296. Calculate the common denominator of 33/8 and t.
1688
Calculate the least common multiple of 170 and (-27736)/(-68) + 46/391.
2040
Let o be -29 + -5 + (0 - -3) + -1. What is the common denominator of 3 + (0 - ((-20)/o + 1)) and 101/8?
8
Suppose -17*y + 8501 = -45994 - 7249. What is the least common multiple of 1 and y?
3632
Suppose 1670 = 45*k + 500 - 270. Suppose r = -6*r + 280. What is the least common multiple of r and k?
160
Let h = 5/1301 - 70289/9107. Let g = -215261/1134124 + -1/14356. Calculate the common denominator of g and h.
553
What is the least common multiple of (-40)/(-16)*(133956/105 + (-24)/42) and 8?
6376
Let r(v) = -v**2 + 11*v - 12. Let x be r(8). Suppose -9*f = -93 + x. What is the least common multiple of 33 and f?
99
Let z(w) = -w**3 + 5*w**2 - 17*w - 62. What is the lowest common multiple of 351 and z(-5)?
2457
Suppose 65*o - 138*o + 41*o + 5824 = 0. What is the least common multiple of o and 364?
364
Let q = -923/18 + 652/9. Let y = 111375 - 34526297/310. Calculate the common denominator of y and q.
930
Let m = -42 + 42. Suppose 2*g - 14*g + 720 = m. What is the smallest common multiple of g and 60?
60
Let t = 3/7786172 - 701938978219/194654300. Let c = t - -3608. Find the common denominator of c and 14/15.
75
Let g = -248147/24 + 10334. Find the common denominator of -31/579 and g.
4632
Let n(p) = p**2 - 33. Let z be n(-5). Calculate the smallest common multiple of 45 and (287/28 - 10) + (-1078)/z.
135
Let i = -2/12283 - -233517/859810. Calculate the common denominator of -37/360 and i.
2520
Suppose 3*y - 59 = 2*f + 98, 2*y - 92 = -5*f. Suppose -j - j = -u - 35, -3*j + y = -u. What is the smallest common multiple of 60 and j?
240
Let t be (-1 + 42585/(-5))/1. Let c = t + 204287/24. Calculate the common denominator of c and 0/(-5) + (-91)/20.
120
Let x be (4201220/200 + (-4)/(-10))/(-7). Let l = -3004 - x. Calculate the common denominator of l and 27/16.
112
Suppose -4*x - 81 + 261 = 0. Suppose 0 = 5*w - 3*u + 51, w + 9 = -2*u - 9. What is the least common multiple of 12 and x*1*(-4)/w?
60
Let k(f) = -66*f + 1776. Calculate the lowest common multiple of 81 and k(19).
4698
Suppose 0 = -c - 3*j + 177, 0 = -320*c + 323*c - 5*j - 517. Calculate the least common multiple of 464 and c.
1392
Let z = -9479657/514 + 18443. Find the common denominator of z and 27 - 939/54 - (3 + 1).
4626
Let c = 5031 - 1288. What is the least common multiple of 7 and c?
26201
Suppose -4*a - 2*h = -292, 0 = -3*a + 2*h - 283 + 481. What is the least common multiple of a and 973?
9730
Let d = 371 - 595. Let i = 246 + d. What is the lowest common multiple of 106 and i?
1166
Suppose 111 + 9 = 8*q. Suppose -167*i = -5*r - 170*i + 35, -2*i = 3*r - 21. Calculate the lowest common multiple of q and r.
105
Let r = 2/1057 - -32723/23254. Let t = 136595/22 - 6205. What is the common denominator of r and t?
22
Let s(m) = -4*m - 16. Let n be s(-2). Let p(u) = -u. Calculate the lowest common multiple of (-40)/(-6)*(-9)/(-6) and p(n).
40
Suppose -24 = -q - 3*s, -30 = -18*s + 13*s. Calculate the lowest common multiple of 825 and q.
1650
Let p(h) = -h**3 - 9*h**2 - 6*h - 8. Let n be p(-7). Let s = 89 + n. Calculate the least common multiple of s and 10.
50
Let y be 3/((-18)/(-30)) - -3. Let r(o) = -o**3 + 9*o**2 - 10*o + 8. Let f be r(y). Find the common denominator of 5/((-100)/f) - 1449/510 and -69/22.
374
Let n(u) = -2*u**2 + 3*u + 17. Let b be n(-9). Let a = 192 + b. Calculate the lowest common multiple of a and 22.
220
Let z(j) = 8*j**2 + 43*j + 211. Calculate the smallest common multiple of 14 and z(-5).
196
Let z(t) = -t**3 + 47*t**2 + 14*t + 42. Calculate the lowest common multiple of 154 and z(47).
7700
Let v = 7532 - 27732825/3682. Let p = v + 54311/5523. Find the common denominator of p and (2/99)/((-1)/(-93)).
66
Let i = -12469/223272 - 3/1772. Find the common denominator of i and -29/36.
504
Let u(z) = 483*z**2 + 3*z - 5. Let b be u(2). Suppose -4*r + b = 5*n, 5*n - 3*n - 776 = -3*r. What is the common denominator of -1 - 1 - n/10 and 57/10?
10
Suppose 9*i = 9398 - 35039. Let p be 755/(-75)*(-1131)/4. Let j = i + p. Find the common denominator of 15/32 and j.
160
Let f be (3/(-9))/((-2899)/78). Let j = f - -6869/4906. Calculate the common denominator of 6/3 - 227/68 and j.
748
Let y(q) = -2*q**2 - 18*q + 3. Suppose 61*u + 180 = 64*u. What is the lowest common multiple of u and y(-9)?
60
Let t(l) = -17*l**2 + 9*l - 10. Let j be t(-8). Let n be j*(-188)/(-109976) + 2. Let y = -1718387/164964 - n. Calculate the common denominator of y and -75/2.
12
Suppose -4*d - 3 = 2*v + 7, 0 = 4*d + 4*v + 16. Let p be (d/(-2))/(2/(8*-1)). Let l(f) = -f**3 + 2*f**2 - 2. Calculate the least common multiple of 4 and l(p).
28
Let c = 274847/363930 + 10/5199. What is the common denominator of -61/800 and c?
5600
Let o(g) = -9*g - 9. Let a be o(-6). Suppose -6*k + 3*k + a = 0. Suppose -6310*z - 1128 = -6592*z. What is the least common multiple of z and k?
60
Calculate the common denominator of (-4)/(-10) - ((-7217)/(-630) - 5 - 0) and -25/171.
342
Let n = -865 - -1333. What is the least common multiple of n and 10?
2340
Calculate the least common multiple of 40752/52 - (-40)/130 and 176.
8624
Let a(l) = l**3 + l**2 - 4*l + 6. Let n(z) = -2*z - 34. Let f be n(-16). Let g be (-8)/24*(f + -4). What is the least common multiple of a(g) and 18?
90
Let o be 11938505/319000 + (-2)/(-22). Let k = -1091/29 + o. Find the common denominator of k and -51/8.
200
Let m be -76 - -66 - (-1 + -16). Let n(z) = -78*z + 555. Let c(p) = 2*p**2 - 5*p - 7. Calculate the lowest common multiple of c(5) and n(m).
18
Let l(q) = q**2 + 139*q - 270. Calculate the least common multiple of 30 and l(29).
23010
Suppose -4*b - 3*k + 485 = -331, 3*k + 219 = b. What is the least common multiple of b and 90?
2070
Let m(v) = v**3 - 8*v**2 - v + 11. Let h be m(8). Suppose h*u - 145 = -5*d, 3*d - 79 = -d + 5*u. What is the lowest common multiple of d and 3?
78
What is the common denominator of -11/3 and (-1019)/(-957) - 6/(23 + -17)?
957
Let b = -148420/27 - -5498. Suppose s = -4*z + 158395, -3*z + 79211 = -z + 5*s. Let m = 950201/24 - z. Calculate the common denominator of b and m.
216
Let b = -24 + 26. Suppose b*d + 15 = -d. Let x(v) = -v**2 - 7*v. What is the least common multiple of x(d) and 2?
10
Let b = 12173 + -170411/14. Let o be (-10317)/(-16)*78/(-9). Let n = o + 5576. Find the common denominator of b and n.
56
Calculate the smallest common multiple of -2*(-3)/(-2) + -2123*(-51)/187 and 28.
4032
Let h be (-1)/(-12)*(3094752/54 + -4). Suppose 6*s = 37090 - 8452. Let n = s - h. Find the common denominator of -35/18 and n.
54
Let p = 284577/1190 + -4070/17. What is the common denominator of (-17 - 2886/(-91))*13/(-26) and p?
70
Suppose -5*j + 2*u + 6095 = 0, -748 = -j - 5*u + 498. Calculate the least common multiple of j and 198.
7326
Let p(f) = -11*f**3 - 5*f**2 - 15*f - 36. What is the least common multiple of 864 and p(-4)?
2592
Let f(n) be the first derivative of -n**3/3 - 4*n**2 - 7*n - 6. Suppose 3*k = -2*p + 18, -3*k + 4 = 4*p - 14. What is the lowest common multiple of f(-5) and k?
24
Let u = 944 - 938. What is the smallest common multiple of u and 735?
1470
Let n(y) = 17 + 5*y**3 - 7*y**2 + y**3 + y - 5*y**3. Calculate the least common multiple of 8 and n(7).
24
Let c = 152 - -203. Let v = c - 309. What is the smallest common multiple of 4 and v?
92
Let f = 40 + 14. Suppose 0 = 3*w + 2*q - f, 3*w = 2*w - q + 17. Calculate the least common multiple of w and 20.
20
Suppose 6*g = -333*g + 105768. What is the smallest common multiple of 1820 and g?
10920
Let j = -1497 - -1503. Let x = 114 - 54. What is the smallest common multiple of x and j?
60
Suppose 45*g = 44*g - 4*h + 27, -2*h = 7*g - 33. Calculate the smallest common multiple of 2466 and g.
2466
Calculate the least common multiple of 156 and (-6)/(-8) + 8/(128/8308).
1560
Let z = 116 - 100. Suppose -30 = -z*l + 114. What is the smallest common multiple of 80/12 - (-2)/6 and l?
63
Let m = -4692/37 - -624709/4884. Calculate the common denominator of m and -49/33.
132
Let z(d) = 2*d**2 + 14*d + 21. Let i(h) = h**2 - 6*h - 108. What is the lowest common multiple of i(16) and z(-5)?
52
Let x be (9/(27/98))/((-2)/(-12)). What 