2/2739 - 18/4565. Find the common denominator of h and -21/2.
330
Let q(y) = -2*y**2 - 17*y + 55. Let f be q(-11). What is the common denominator of (101/(-48) - f)/((-16)/(-6)) and -45/8?
128
Suppose r + r + 132 = -3*w, 2*r + w = -128. Calculate the common denominator of -17/14 and 161/(-22)*r/(-147).
154
Suppose 3*q - 69 + 171 = 0. What is the smallest common multiple of 8 - 28*(q + 5) and 20?
820
Suppose 4*z - 60 = 2*z + i, -z + 32 = -i. Suppose 8*m - 4*m - z = 4*y, 5*y + 27 = m. What is the common denominator of 61/38 and (-189)/30 - (2 + y)?
190
Suppose -5*w + 62 = -118. Let a(i) = 16*i**3 + 6*i**2 + 336*i - 677. What is the smallest common multiple of a(2) and w?
1764
Suppose 3*u + 5 = -4*m + 4*u, -3*m = -2*u + 10. Suppose -135 = -a - 4*a + 5*g, -2*a - g + 39 = m. What is the least common multiple of 14 and a?
154
What is the common denominator of 1/(-2)*1*-14 + 558774/(-62925) and 30/32*(-34)/3?
200
Find the common denominator of (-1 - (-9 - -1)) + 36515/(-3270) and -51/1987.
11922
Suppose 3*u - 4*r + 28 + 87 = 0, -3*r = 3*u + 150. Find the common denominator of (-6)/u*16*90/(-189) and 52/3.
63
Suppose -10 = -2*b + 5*l, -5*b + 3*l - 4*l = -52. Let p = 25 - b. Calculate the smallest common multiple of p and 33.
165
Suppose 4*s - 46 = -5*y, -5*y - s + 5*s + 14 = 0. Calculate the common denominator of 101/14 and ((-42)/198)/(y/(-63)).
154
Let t = 35875 + -7928389/221. Calculate the common denominator of 46/731 and t.
9503
Suppose v - 3*r - 8 = 25, 0 = -5*r - 20. What is the lowest common multiple of v and 468?
3276
Suppose -16*u = -u + 3300. Suppose -9*m + 13*m + 32 = 0. Calculate the common denominator of 37/22 and (-1 - u/m)/(-1).
22
Let d = -505283/18 + 28063. Let g = -563 - -689. Find the common denominator of ((-5)/99)/(3/g) and d.
198
Let k = 464473 + -2106849653/4536. Find the common denominator of 85/28 and k.
4536
Suppose -5*f = 3*q - 6*f - 67, -47 = -2*q + 3*f. Suppose q + 44 = 3*c. Calculate the smallest common multiple of c and 466.
5126
Let r = 13273 - 132613/10. Let i be ((-85)/(-220)*4)/(1 + -2). Let s = 291/110 + i. Find the common denominator of r and s.
10
Let w = -6151 + 6628. What is the least common multiple of w and 99?
5247
Let t = -2247006 - -4872023. Let u = 498755007/190 - t. Let k = -39/19 + u. Calculate the common denominator of k and 77/18.
90
Let h = -29430 - -29431. Suppose -2*f + 13 = -3. Suppose -65 + f = -c. Calculate the least common multiple of h and c.
57
Let w be (-138)/(-115) - (-126453)/60. Let y = w + -2093. What is the common denominator of y and 25/176?
176
Let k be ((-1092)/7)/(-1) - (-3)/1. Let h = k + -135. What is the least common multiple of h and 40?
120
Suppose 0 = 2*a - 165 - 247. Let n = 111375 + -111367. Calculate the least common multiple of a and n.
824
Suppose 0 = 16*y - 7*y - 72. Let d(v) = v**3 - 6*v**2 + 2*v - 40. What is the smallest common multiple of d(y) and 11?
1144
Calculate the least common multiple of (-2*28)/((-2)/16 - 56/(-672)) and 384.
2688
Let n = -810/119 + 24043/4284. What is the common denominator of -15/968 and n?
8712
Suppose 5*w = 3*r - 249, -w + 0*w - 45 = -3*r. Let f = -27 - w. Calculate the least common multiple of f and 5.
120
Let p = -3818 - -3988. Calculate the smallest common multiple of p and (102/9)/((-2)/(-21)).
1190
Let s = -148279221/454 + 326606. What is the common denominator of -93/3632 and s?
3632
Let i be 980 - (3 - (-4 + 6)). Let w = -5911/6 + i. Calculate the common denominator of w and ((-2)/(-16))/((-12)/(-1744))*-1.
6
Let y = -2 + 10. Suppose 206157*f - 644 = 206065*f. Calculate the least common multiple of y and f.
56
Let f = 23 + -25. Let s(b) = -7*b**2 - b + 1. Calculate the common denominator of s(f) and (-40)/8 - (-204)/31.
31
Calculate the lowest common multiple of 328 and ((-246)/(-3))/(4 - 0)*22.
3608
Let h(p) = -p**3 - 7*p**2 - 6*p - 14. Let k be h(-5). Let f be 1/(-2) + 67745/k. Let m = 31825/16 + f. Find the common denominator of 103/54 and m.
432
Let f be (10/(-15))/(34/9 + -4). Suppose f*q = q - 2. What is the smallest common multiple of 10 and -1 - (q + -14)/5?
10
Let f(t) = t**3 - 15*t**2 + 16*t + 6. Let w be f(14). Suppose -33*o + w*o - 40 = 0. Calculate the lowest common multiple of o and 60.
120
Let d be (-6)/(-21) + -65*(-12)/210. Suppose -5*y = -3*o + 285, 2*o + d*y = 255 - 87. Calculate the smallest common multiple of o and 45.
90
Let c = 301 - 280. Calculate the least common multiple of (-7)/c - 206/(-6) and 24.
408
Let w(l) = l**2 + 3*l - 106. Suppose -80 = -5*a - 5*m, a = m + 12 + 4. Calculate the least common multiple of a and w(-12).
16
Calculate the common denominator of 58335/123900 - 12/30 and 9/236.
1652
Let g = 1701 - 30499/18. Let z = 241303 + -39091237/162. What is the common denominator of z and g?
162
Find the common denominator of 211/1050 and 15/3 - 1/3*(-4956)/56.
1050
Suppose 11*h + 128 = 370. Let x(d) = -7*d - 2. Let b be x(-1). What is the smallest common multiple of (-3 + b)*(4 + 1) and h?
110
Let f(z) = 23 + 26 + 37*z + 78 + 49. Calculate the common denominator of f(-6) and -119/160.
160
Suppose -312*h - 858 = -323*h. What is the smallest common multiple of 11 and h?
858
Let v = -7899886327/2508 + 3149875. What is the common denominator of v and -23/2052?
22572
Suppose 236 = 5*m - h, 13*m - h - 189 = 9*m. Calculate the common denominator of 111/10 and (24/(-6) + m/12)*131.
60
Let y(b) = -2*b + 854. Calculate the lowest common multiple of y(32) and 869.
8690
Suppose -5*n - 40 = -5*d, -3*d + 21 + 18 = 2*n. What is the lowest common multiple of 508 and d?
5588
Let c = -587 - -546. Let n(b) = 2*b**2 + 82*b + 30. Calculate the lowest common multiple of 12 and n(c).
60
Suppose -25*o - 84 = -39*o. Calculate the common denominator of o - ((-791)/(-210))/1 and 133/30.
30
Suppose 46923 = 4*u + 5*t, -6*t = u - 3*t - 11736. Let w = -140851/12 + u. What is the common denominator of w and -61/42?
84
What is the common denominator of -44 + 32 + (-170)/(-8) and -47/5475?
21900
Let l = -1345687/20295 + 62/1845. Let y = 66 + l. Calculate the common denominator of 129/(-6) - ((-58)/18 + (-128)/(-576)) and y.
22
Find the common denominator of 83/588 and 4/49*16445/6864.
588
Suppose l = -0*l - 2*t + 333, -l + 327 = 5*t. Let u = l - 225. Calculate the lowest common multiple of 24 and u.
336
Let k(x) = 10*x**2 + 14*x - x**3 - 3*x**2 + 15 - 15*x. Calculate the lowest common multiple of k(7) and 8.
8
Let l = 15151 - 14915. What is the lowest common multiple of 200 and l?
11800
Suppose 2*r + n - 189 = 0, 0*r - 384 = -4*r + 4*n. Suppose 65 = -d + r. What is the lowest common multiple of d and 6?
30
Let t = -997 + 1009. Let s = -26 - -16. What is the least common multiple of 10 and -137*s/t - (-6)/(-36)?
570
Let t(m) = -1850*m - 9227. What is the lowest common multiple of 16 and t(-5)?
368
Let p be 3 + 1 - (-73 + 34). Suppose -21*w = -22*w + p. Find the common denominator of 43/16 and w.
16
Let q = 398975/64 + -6234. Find the common denominator of q and 67/40.
320
Let w(q) = 20683473*q. Let h be w(1). Let b = 289716377/14 - h. Let j = b - 10547. Calculate the common denominator of j and -89/188.
1316
Let q be (3639/9 + -6)*6/(-45). Let z = q + 38681/720. Calculate the common denominator of z and 13/20.
80
Let z = 391933/42 - 9330. Calculate the common denominator of z and -19/240.
1680
Suppose 26*f - 6912 - 7067 = 37345. What is the smallest common multiple of f and 658?
1974
Suppose 27 = -y + 20*y - 144. Calculate the smallest common multiple of 1600 and y.
14400
Let n be (0 + 9/2)*-2. What is the common denominator of -93/340 and 513/(-42) + n + 13?
2380
Calculate the common denominator of (-6)/9*612/85 and 81/4.
20
Let d be (-1)/1 - (-28 + 4 - 5). Calculate the smallest common multiple of 3/((-1)/(d/(-12))) and 77.
77
Suppose -8*f + 4522 = -3*f - 4*c, 7*f - 6340 = c. Let t = 980 - f. What is the least common multiple of t and 13?
962
Suppose -2*w - 74 = -3*t + 5*t, 47 = -w + 4*t. Calculate the lowest common multiple of 75 and (377/w)/((-1)/15).
2175
Let m = -983607097/24 - -40989359. Let h = 5727 - m. Let p = -370/561 - -4/17. Find the common denominator of p and h.
264
Suppose -2*u = -5*u - u. Suppose u*a = -9*a + 54. Find the common denominator of 53/33 and 14/a*(-60)/21.
33
Let v = 2773080 - 562932030/203. Let s = 4