
910
Find the common denominator of 36/(7*(-4 - (-95)/20)) and -14/481.
3367
Suppose -9076 = -7*r + 3*w, 104*w - 105*w = 2*r - 2582. What is the lowest common multiple of 16 and r?
10352
Let m = -35 + -39. Let b = m - -211. Let g = -136 + b. Calculate the lowest common multiple of 6 and g.
6
Calculate the common denominator of -41/78 and (-5)/(-6)*10/150*(-218)/(-38).
4446
Suppose -48 = -5*x + 42. Let z(c) = -27*c + 393. Let m be z(14). Suppose m + x = 11*s. Calculate the lowest common multiple of 30 and s.
30
Calculate the common denominator of (7*232/784)/(24/7) and -1/472.
2832
Let c be (309 + -7)*(-1)/(-2). Suppose -v = -4*b + c, -v - v = 3*b - 105. What is the common denominator of 4/2*b*(-1)/(-3) and -13/119?
357
Let q = -23 - -25. Suppose 0 = -q*f + f + 8. What is the least common multiple of 60 and f?
120
Let h = 172655/221476 + -1/6514. Let l be ((-6)/60 - (-924)/(-40))/(-5). Let p = -1102/75 - l. What is the common denominator of p and h?
204
Suppose 2*u = -8, 2*t + 5*u + 2 = -62. Calculate the smallest common multiple of (-3584)/(-616) - 4/t and 34.
102
Let t be (-14 + 8 - -5) + (-46661)/(-46663). Let p = t + -3312793/6532820. Find the common denominator of p and -121/90.
1260
Suppose 21*c + 12738 = 16350. What is the lowest common multiple of c and 204?
8772
Let j = 99 - 93. Let a(l) = -2*l**2 + 14*l - 4. Let b(f) = -4*f**2 + 27*f - 7. Let v(k) = 5*a(k) - 3*b(k). Calculate the smallest common multiple of j and v(7).
66
Let s be ((-11)/33)/(2/(-24)). Calculate the least common multiple of 5/(-10) + 218/s and 9.
54
Suppose -5*y + 0*w + 40 = 2*w, 0 = 3*y - 5*w - 55. Suppose 0 = -s + y*s - 63. Let a = 25 + -17. What is the lowest common multiple of s and a?
56
Suppose 0 = -3*b + 24, 0 = 36*u - 39*u - 4*b + 2705. Calculate the smallest common multiple of u and 495.
4455
Let m = -1464456629/12420 + 589556/5. What is the common denominator of m and 91/1518?
27324
Suppose i - 205 + 281 = 0. Let k(w) = -w**2 - 3*w - 3. Let b be k(-4). Calculate the common denominator of 37/8 and 7/(i/14 - (b - -6)).
248
Let w be (1370/(-195) + 4)*3. Let a = -1943/78 - w. Calculate the common denominator of a and -10/7.
42
Calculate the common denominator of -1 + ((-4362)/620 - -8) and 19/93.
930
Let d be 3 - (-6)/(0 + 6). Suppose 3*f + 22 + 20 = d*w, 2*w - 22 = 2*f. Calculate the lowest common multiple of w and 30.
90
Suppose 5 = -z + 3*p, 4*p - 52 = -4*z + 8. Calculate the common denominator of 4/z + 8 + 11781/(-2090) and -45/14.
266
Let y = 9485 + -2181541/230. Find the common denominator of y and -89/782.
3910
Suppose 3*r = 2*w - 250, -4*w + 80 = -r - 0*w. Let u = 86 + r. Find the common denominator of u/18*(-85 - 26) and 64/15.
15
Let b = 88/327 - 28649/10464. Calculate the common denominator of b and 85/96.
96
Let j = 15294/63991 + -33/2876. What is the common denominator of j and -50/267?
1068
Let v = -2 - -8. Let q(o) = 14*o**3 - 2*o**2 - o + 1. Let x be q(-2). Let m = -110 - x. Calculate the least common multiple of m and v.
42
Let m = -11902 + 1035499/87. Find the common denominator of m and -17/639.
18531
Suppose 20*o - 21*o - 3 = 0. Let d be (6/(-8)*4)/(o/8). Suppose 5*u - 45 = -2*n, -3*n - d*u = -7*u - 35. Calculate the lowest common multiple of 7 and n.
70
Suppose -13*p = -12 - 22 - 200. Let b be (-38)/9 - (-4)/18. Let y = 16 + b. Calculate the lowest common multiple of p and y.
36
Let h = 215750 - 34951615/162. Find the common denominator of 1/63 and h.
1134
Let u be (-5)/10 + (-16921)/(-14). Let j = -228286/189 + u. Calculate the common denominator of 86/63 and j.
189
Suppose 5*z + 24 = 3*p - 8, 4*p = -2*z + 34. Let f be (5 + -18)/(30/p). Let r = 7/2 + f. Calculate the common denominator of 51/10 and r.
10
Suppose -t = -0*t - 5*b - 32, 0 = -2*t + 2*b + 24. Calculate the common denominator of 61/6 and (t/84)/(10/225).
24
Let y = -331 + 317. Find the common denominator of (-141)/(-66) + (-21)/y and 35/3.
33
Suppose -4 = -2*v, -3*x - 5*v - 97 = -v. Suppose 4*q - 216 = -14*q. What is the common denominator of (10/x)/(q/371) and 43/9?
18
Let b(s) = s**2 + 7*s - 28. Let u be b(7). Suppose 5*r + 0*r + u = 0. Let d = 24 + r. Calculate the lowest common multiple of d and 9.
90
Let o = 11135 - 10502. What is the smallest common multiple of 7 and o?
4431
Let v(u) = 2*u. Let h be v(3). Suppose -h*p + 20 = -4*p. Let y(s) = 12*s + 5. Calculate the lowest common multiple of p and y(2).
290
Calculate the common denominator of 143/1530 and (-541554)/3006450 - ((-2)/(-17) + 0 + 0).
7650
Suppose 0 = 5*f + 15, -4*f - 5748 = -3*q - 0*f. What is the least common multiple of (-6)/21 + q/28 and 24?
408
Find the common denominator of 22/(-66) + (-37)/30 and 4/16 + -1 + 219/252.
210
Let d = 802 - 648. What is the smallest common multiple of 154 and d?
154
Suppose 0 = -5*p - 145 + 45. Let d = p + 22. Let u = d + 12. What is the least common multiple of 16 and u?
112
Let v = 29458 + -17963. Suppose 5*g = 10*g - v. Find the common denominator of 53/76 and g/380 + (-2)/(-8).
380
Let l = -455 + 905. Calculate the lowest common multiple of (2/(-4))/((-45)/l) and 20.
20
Let f = -13439/4830 - -107/42. Find the common denominator of f and -11/80.
1840
Let j = -90399/10 + 9029. Calculate the common denominator of j and (-2)/8 - 95/16.
80
Let r(f) = -2*f**2 - 15*f - 8. Suppose -2*i - 4*a = 8, 0 = 2*i + i - 4*a + 22. What is the smallest common multiple of 24 and r(i)?
120
What is the common denominator of 2580/(-1720)*((-1748)/1899 - (-1 - 0)) and -20/1477?
8862
Suppose 445 = 4*s - 159. Let l = 173 - s. Calculate the lowest common multiple of 36*((-4)/3 - -2) and l.
264
What is the common denominator of 11/9 and (-9 + 7)/((-5172)/(-188) - -3)?
2151
Let d = 188 - 228. What is the common denominator of 66 + -68 - (-86)/d and -27/215?
860
Let a(n) = -4*n**3 - 11*n**2 - 21*n - 133. Calculate the lowest common multiple of a(-8) and 56.
11032
Suppose 2986 = 3*h - 4*j, 32*h + 3971 = 36*h + 5*j. What is the smallest common multiple of 994 and h?
994
Let w be (-1566)/(-189) - (-1)/14*-4. Suppose -g = w - 14. Calculate the smallest common multiple of g and 82.
246
Let d = -4919741/108 + 45552. What is the common denominator of d and 1*((-3406)/24)/13?
108
Let r = 20/14537 + -129505/41299617. Find the common denominator of 13/15 and r.
14205
Suppose 10*a - 6 - 14 = 0. Let l be ((-16)/(-24))/(37/9 - a). Let f = l + -359/114. Calculate the common denominator of f and -22/5.
30
Suppose 2*h = 5*t - 1, 0 = 20*t - 15*t + 2*h + 11. Calculate the lowest common multiple of (418/114)/(t/(-9)) and 18.
198
Calculate the smallest common multiple of 60382/76*((-66)/(-21) - 2) and 4.
908
Suppose 29 = -3*a - 5*g - 26, -g + 45 = -5*a. Let k = a + 22. Suppose z + 6 + k = r, -26 = -2*r - 3*z. Calculate the lowest common multiple of 6 and r.
48
Find the common denominator of 89/136 and 1524/336 + (-1 - 14/(-4) - 3).
952
Let i be 2*4/(-3)*(-960)/(-16). Let h = -91 - i. Calculate the least common multiple of h and 60.
1380
Let h = 2 + 10. Let s = 22 - h. What is the least common multiple of s and (-4)/(-3)*(64/(-448) - (-129)/21)?
40
Let x = 6 + -2. Let t(m) = -m**2 - 7*m + 28. Let h be t(-8). What is the least common multiple of x and 44/5 + h/(-25)?
8
Let o = -11703408 + 199037061/17. Let d = 4653 - o. Calculate the common denominator of d and -31/10.
170
Let a = -13819010 + 455402930/33. Let w = 18923 + a. What is the common denominator of -64/27 and w?
297
Let g(h) = h + 21. Suppose -2*c + 2*p - 12 = 0, c - 5*c = 2*p. Calculate the lowest common multiple of g(-11) and 2*4 + 8/c.
20
Suppose 0 = -6*l + 11*l. Let i be (1 + l)/((21/(-18))/(-7)). Suppose -3*q = -48 + i. Calculate the least common multiple of q and 10.
70
Suppose 5*l = 8*l - 27. Suppose 0 = 5*f + 499 + 11. Calculate the lowest common multiple of l and 95/2*f/(-85).
171
Let l be ((-76)/10)/((-2)/(-10)). Let r be (l + (-4)/(-2))*(-2)/4. Find the common denominator of (102/r - 5)*(-315)/44 and 79/16.
176
Calculate the common denominator of 4 - (-8 - (-418)/30) and (-1310)/(-216)*72/(-240).
360
Let l = -190 - -189. Let z = -87/2 - -339/8. Find the common denominator of ((-8)/(2560/(-248)))/(l/(-4)) and z.
40
Let t(o) = o**3 + 24*o**2 - 33*o - 95. What is the least common multiple of t(-25) and 10?
210
Suppose 5*f + c = 475, -3*f - 201*c + 273 = 