 + 4*p - 50. What is the lowest common multiple of 2022 and t?
10110
Let c = 23 + -14. Suppose 3*f - 2*k - 12 = c, f + 2*k = 15. Let p = 10 - f. What is the least common multiple of 9 and p?
9
Let m(i) = -i**2 - 77*i - 596. Calculate the smallest common multiple of 2392 and m(-9).
4784
Suppose 2*q = -707 + 755. What is the lowest common multiple of q and 524?
3144
Let b = -1340 - -1370. Calculate the least common multiple of b and 1/(0 - -1) + 39.
120
Let q = 1421 - 653. What is the smallest common multiple of 288 and q?
2304
Suppose -2*c + 4*q = 2416, -2*c = 2*c + 3*q + 4854. Let v = c - -10886/9. What is the common denominator of v and 28/117?
117
Let j(l) = -l**3 + 15*l**2 - 13*l - 4. Suppose -3*x - 4*u = -u - 30, 0 = x - 5*u - 34. Calculate the least common multiple of 692 and j(x).
3460
Suppose -2*z = 0, 2834 = -5*y - z + 7994. Calculate the least common multiple of y and 42.
7224
Let p = -4271/54 + 503/6. Let y = p - 1504/135. Find the common denominator of (-2)/(-3) + (-130)/(-15) and y.
15
Let d(k) = -133*k - 924. Let x(h) = -h**2 - 4*h + 5. Let b be x(-4). Suppose -b*t + 0*t + 15 = 0. Calculate the lowest common multiple of t and d(-7).
21
Suppose 55*n + 54 = 37*n. What is the common denominator of (n*17*4/184)/9 and 6/7?
966
Let u = 14859 + -14805. Let o = -10 + 22. What is the least common multiple of u and o?
108
Let f = -16970331/40 + 424260. Let l = -7/1039 + 63645/39482. Find the common denominator of f and l.
760
Suppose -4*u = -2*t + 98, 2*u + 1 + 99 = 2*t. Let o = 109 + t. Let v = 113 + -105. Calculate the least common multiple of v and o.
160
Let z be ((-2)/40)/(66/(-895312)). Let o = -680 + z. Find the common denominator of ((-362)/18)/(20/6) and o.
30
Suppose -155*y + 18*y = -16*y - 65219. What is the least common multiple of y and 6?
3234
Let g be 1*(-12)/9*21/(-14). Suppose -5*d + 312 = 3*l, 7*l = d + g*l - 40. Calculate the lowest common multiple of 12 and d.
60
Find the common denominator of 63/20 and (-951)/32334*(0 + 3/(-4)).
680
Let h = 1 - -13. Let m = -11957 - -12119. What is the least common multiple of h and m?
1134
Suppose -97 + 16 = -3*c. Let o = -23 + c. Suppose o*s - 15 = 3*r, 2*r - 15 = -3*r. What is the smallest common multiple of s and 10?
30
Let q = -805 - -2375. What is the least common multiple of 90 and q?
14130
Calculate the smallest common multiple of (-4)/(-14 - (-4398)/315) and 294.
1470
Suppose -9*y - 3675 = -16*y. Suppose -12*n + y = 3*n. Calculate the lowest common multiple of 55 and n.
385
Suppose s + 20 = -2*q, -2*q + 4*s = -q + 10. Let x be (1/q)/((-6)/(-3594)). Let b = -306/5 - x. What is the common denominator of 83/34 and b?
170
Suppose -182 = -4*g + 130. Suppose -3462*c + 3467*c - 148 - 2 = 0. What is the lowest common multiple of g and c?
390
Calculate the common denominator of 35/9 and 3/(2430/(-168)) + 6 + (-26)/5.
27
Let u(k) = -138*k + 4. Suppose 3*q - 7*q + 26 = 3*i, -3*i - 14 = -4*q. Calculate the lowest common multiple of q and u(-1).
710
Let j = -38632 - -44420. What is the lowest common multiple of j and 4?
5788
Let r = 7847/780 + -401/40. What is the common denominator of -133/72 and r?
936
Let f = 10102 - 727385/72. What is the common denominator of f and -2 + (-104)/(-27) - 1?
216
Let d = -10202 + 10676. What is the lowest common multiple of d and 158?
474
Let a be 5 - (2/1 - -3). Let d be (-19 + a)/(5/5) + -1. Let q = 41 + d. Calculate the least common multiple of q and 6.
42
Let m = -76 + 66. Calculate the common denominator of (-708)/360 - (-2)/m and 91/12.
12
Let i = -27 - -29. Suppose 2*s + 5*b + 10 = 7*s, i*b - 6 = -3*s. What is the common denominator of 57/44 and s/64*(-1608)/18?
264
Let i(d) = d**3 + 15*d**2 + 9*d + 7. Let f be i(-7). Suppose -f + 2100 = 14*m. Calculate the least common multiple of 126 and m.
126
Let n(g) = -2*g**2 - 51*g + 107. Calculate the lowest common multiple of n(-25) and (-3 + 0 - (-1 - 1)) + 13.
132
Let a = -305 - -2663. What is the least common multiple of 51 and a?
40086
Let i = 24664285940981/6606 + -3733618815. Let y = 66/367 + i. Find the common denominator of 61/3 and y.
18
Suppose 2*w + 15*v - 18*v - 39 = 0, 0 = -5*w + v + 65. What is the least common multiple of 48 and w?
48
Suppose 35*o - 15732 = 8*o + 6543. Calculate the lowest common multiple of 9 and o.
2475
Let a be 5 + ((-20)/6)/((-609)/(-882)). Let d = a - -2044/87. Find the common denominator of 0 - (66/(-14) + 0) and d.
21
Let n = -2923 - -2933. Let k = 7 - 3. Let m = n - k. Calculate the lowest common multiple of m and 6.
6
Suppose -w = -6*w + 140. Let s = 930 - 833. Suppose 9*j - 223 = -s. Calculate the lowest common multiple of w and j.
28
Let m = -134 + 142. Suppose m + 42 = 4*i - v, -v = 2. Suppose i = -3*f + 5*f. Calculate the lowest common multiple of 2 and f.
6
Let m be (6 - 3)*3/(-9). Let u be (-3497)/(-36) + m + 23/69. Let k = 377/4 - u. Find the common denominator of k and 8/13.
117
Let s = 34504100503331/7508 - 4595644689. Let i be 1/1877*(-26 + 25). Let a = s + i. Calculate the common denominator of a and 1/2.
4
Let n be 4 - (7 - 3) - -15. Suppose 0*y - n = -l + y, 5*l + 5*y - 85 = 0. What is the smallest common multiple of l and 112?
112
Let q = 176071/16 + -11000. Find the common denominator of q and (114/(-380))/(1044/(-2670)).
464
Let x = -206 - -461. Suppose 0 = 24*l - 51*l + 162. What is the least common multiple of l and x?
510
Let t(b) = 244*b - 69. Let i be t(-3). Calculate the common denominator of (3/(-14))/((-135)/i) and 58/63.
630
Let o be -8*(-1)/2 + 3 + -1. What is the smallest common multiple of 2*(15/o + -2)*30 and 10?
30
Suppose 62 = -8*m - 178. Let v = -40 + m. Let x = 71 + v. What is the lowest common multiple of x and 7?
7
Let p = -5325 - -5517. Calculate the least common multiple of p and 9.
576
Suppose -4*g - 5*f = -93, 2*f - 107 = -5*g + 5*f. Suppose -11*d = 1688 - 5285. Suppose -5*c + 73 + d = 0. Calculate the lowest common multiple of g and c.
880
Let c = 497/690 - -2/1035. Let r(m) = -1234*m**2 + 2*m - 10. Let z be r(4). Let v = 789899/40 + z. What is the common denominator of c and v?
360
Let f = 1431 - 1255. What is the smallest common multiple of 220 and f?
880
Suppose -434 = -2*w - 0*o - 4*o, -3*w + 649 = 4*o. Let x = 243 - w. Find the common denominator of x and -61/68.
68
Let x = -10454 + 10530. Calculate the least common multiple of x and 44.
836
Let s(w) = 3*w + 48. Let f be s(-16). Suppose 3*z + 2*l = 7*z - 14, f = z - l - 5. Calculate the lowest common multiple of 9 and z.
18
What is the least common multiple of ((-1480)/(-24) - -2)*((-21)/7 - -9) and 16?
3056
Let w be ((-4)/(1080/(-144366)))/(2/(-5)). Let r = -1336 - w. Let q = 837665/28 + -29920. What is the common denominator of r and q?
252
Suppose 4*l = 19611 + 1977. Let i = l - 53923/10. Calculate the common denominator of i and -19/20.
20
Let s be (2/(-464))/(155/240622). Let j = 101/58 + s. Find the common denominator of (-1)/3 - (-537)/234 and j.
260
Suppose 5*t + 2*z = 0, 0*t - 4*t = -z. Let u(x) = -2*x + t*x - 2*x - 7*x. Calculate the smallest common multiple of u(-2) and 20.
220
Let p = -11945537 + 238989983/20. Let s = -3964 + p. Let r = -2424/5 + 28333/60. What is the common denominator of r and s?
60
Let u = 1649 - 103892/63. Let t = u - 1157/504. Calculate the common denominator of t and 67/4.
8
Suppose -h + 3*s = -0*h - 1, 0 = -2*h - s + 16. Let n be (-67216)/h + 18/63. Let c = n + 249615/26. Find the common denominator of -127/6 and c.
78
Suppose 7*u - 280 + 210 = 0. Let p(b) = b**3 - 15*b**2 - 15*b - 17. Let y be p(16). Calculate the smallest common multiple of ((-21)/14)/(y/6) and u.
90
Calculate the common denominator of -81/16 and 217935/804228 + (-2)/8.
36976
Let s = 7549 - 7532. Let z = 21 - 14. What is the lowest common multiple of z and s?
119
Let d(i) = i**3 - 38*i**2 - 74*i - 220. Calculate the lowest common multiple of 1015 and d(40).
4060
Let p = 5243/12 + -436. Calculate the common denominator of ((-208)/96)/((-92)/(-2)) and p.
276
Suppose 3*m - 397 + 149 = -2*x, -5*m + 396 = -x. Suppose 0 = 10302*u - 10297*u - 10, n = 7*u + 66. Calculate the smallest common multiple of m and n.
80
Let d be 0/((-6)/3)*-1. What is the lowest common multiple of 24*((-1)/(-2) - d) and (-1)/(-1)*1 + (160 - 143)?
36
Let l be (48/112 - (-142)/(-70))*10. What is t