2*l. What is the smallest common multiple of p(l) and 48?
144
Find the common denominator of -167/882 and 3/24*2 - (-822)/168.
882
Let c = 67 + -59. Suppose 3*a + c*y - 10*y = 157, -2*y - 102 = -2*a. What is the lowest common multiple of 5 and a?
55
Suppose 3*i = c + 392, -5*i + 611 = 2*c - 24. Let p = -1952/15 + i. Find the common denominator of p and 1/90.
90
Suppose -30 = -14*l + 12. Find the common denominator of -20/129 and 5/3*l/6*-17.
258
Let j = -116 + 121. Suppose 0 = 5*w - j*i - 270, w - 3*w - 2*i = -108. What is the common denominator of w/(-23) - (-1 + -2 + 2) and -27/11?
253
Suppose 0 = 2*j - 10*x + 6*x - 56, -2*j + 51 = -3*x. Suppose 396 = j*n - 414. What is the smallest common multiple of 81 and n?
405
Find the common denominator of (7/87)/(385/(-147)) and -37/29.
1595
Suppose -3*r + 5*h = -834, 2*r + h = -r + 816. Suppose 1791 = 23*n + r. What is the smallest common multiple of 54 and n?
594
Let f = 199/515 + -4107/23690. What is the common denominator of f and -89/6?
690
Let z = -471089/24 - -19635. Find the common denominator of z and -65/63.
504
Let n(s) = s**3 - 9*s**2 - 167*s + 410. What is the least common multiple of 720 and n(18)?
2880
Suppose 0 = -2*d + g - 14816, 9*d - 3*g = 4*d - 37040. Let f be 8/(-4)*178196/48. Let x = f - d. Calculate the common denominator of 19/6 and x.
6
Suppose 0 = -6*l - 3*l + 3798. Let d = l - 323. Calculate the smallest common multiple of 6 and d.
198
Let x be (-11)/(1210/475)*(-1108)/5. Let q = -958 + x. Calculate the common denominator of q and 21/79.
869
Let y be (1/12)/(2/(-37396)). Let i = -6197/4 - y. Let x = -70075/18 + 3895. Calculate the common denominator of x and i.
36
Let b = -8 - -394. Let g = b + -154. What is the smallest common multiple of 3 and g?
696
Suppose -6313 = -37*x + 7525. What is the smallest common multiple of 68 and x?
748
Let u = 36 + -32. Let d = -2 - -31. Suppose -25*k + d*k = 28. Calculate the least common multiple of u and k.
28
Let q = -342/211 + 148566/1055. Let z = q + -7937/60. What is the common denominator of z and 2/(-4) + 93/9?
12
Let x = -471917/504 - -8434/9. Let i = 1607/3465 + 104/99. Find the common denominator of x and i.
280
Suppose -36 = -3*y - 5*r, 0 = -y - 4*r + 18 - 6. Calculate the common denominator of (-85)/11*1/(-2) and (-18)/y*35/(-270).
396
Let i = -77989/26430 - 14/881. Let k = -10/833 - 75603/16660. What is the common denominator of k and i?
60
Calculate the common denominator of 50/(-36)*(-1885)/(-325) and 1/412.
3708
Suppose -128*k + 370838 + 14277 = 86107. What is the lowest common multiple of k and 1460?
11680
Let k = -11972 + 12868. What is the smallest common multiple of 1344 and k?
2688
Let z = -1631569 - -2496300683/1530. Calculate the common denominator of -25/612 and z.
3060
Let u be (154/(-21))/(0 - 6/6039). Let y = 265681/36 - u. What is the common denominator of y and ((-113)/56)/(5/(-10))?
252
Calculate the common denominator of -9 + (105968/(-256))/(-37) and 65/162.
1296
What is the smallest common multiple of 46/391 + 4880/136 and 1512?
1512
Let c = -50/81 - -1823/5184. Calculate the common denominator of 36/71 and c.
4544
What is the common denominator of 181/180 and (-142)/32 - (-74)/37?
720
Suppose -4504*u - 3900 = -4507*u. Calculate the least common multiple of u and 6.
3900
Let x(w) = w**2 + 3*w + 3. Let s be x(0). Suppose -5*q - v + 3*v = -16, 21 = s*q - 5*v. Calculate the smallest common multiple of q and 64.
64
What is the common denominator of 93/340 and (25384/(-4845) - (-7 + 1))/(160/(-6))?
3400
Suppose -2*l = -0*l + 4*h - 18, 2*l + 3*h - 18 = 0. Let c = 34 - 11. Suppose c*w - 160 = 7*w. Calculate the smallest common multiple of w and l.
90
Let b be 2 + (-2 + 1 - -7). Suppose 0 = 3*r + 30*r - 660. Suppose 3*t + 4*c = t + r, c = -t + b. Calculate the least common multiple of t and 9.
18
Suppose -19314 = -152*t + 19832 + 175630. Calculate the least common multiple of 63 and t.
9891
Let l be 288/896*8/435. Let y = 53891/16240 - l. Find the common denominator of (-2)/(-8) + (-16)/5 and y.
80
Calculate the smallest common multiple of (-115884)/(-290) + (-18)/60*(-4)/3 and 160.
800
Let a = 473215/98808 - -10/4117. Calculate the common denominator of (-12)/3 + 418/80 and a.
120
Suppose 3*f - 5*g = 7263, -f + 2419 = -0*f - g. Let b be (-2 + 0)*9453/f. Let d = -15/302 + b. Calculate the common denominator of -69/4 and d.
8
Let u = -119186855635/284730558 - 2/6779299. Let n = 3090/7 + u. What is the common denominator of n and 89/44?
132
Suppose -92*x + 240 + 486 = 174. What is the least common multiple of 2 + 160/(15/3) and x?
102
Suppose 0 = -5*j - 3*q + 213, 32*j - 4*q = 26*j + 324. Calculate the least common multiple of 348 and j.
1392
Let j = 135551 - 136635421/1008. What is the common denominator of -103/48 and j?
1008
Let q be (-2)/8 - (2 + (-11190)/7480). Let w = 150/119 + q. What is the common denominator of -34/7 and w?
77
Let g(m) = m**3 + 50*m**2 + 20*m + 1246. Calculate the smallest common multiple of 66 and g(-50).
2706
Suppose -8*q = -197 - 75. Suppose -33*v + q*v = 5*h - 253, -2*h + 97 = v. What is the lowest common multiple of h and 65?
650
Suppose -4*y - 3*y - 742 = 0. Let j = y + 109. Suppose -l + j*l = 32. Calculate the least common multiple of 1 and l.
16
Let f = 1898 - 1658. Calculate the lowest common multiple of 480 and f.
480
Let v be (-10)/4 + (-135)/54. Find the common denominator of 20/(-8) - (-15 + v) and 21.
2
What is the common denominator of 9/20 and 2 + -2 + 6 + 157692/(-31824)?
780
Suppose 0 = -3*t - 4*v + 334, -15 + 128 = t + 3*v. What is the smallest common multiple of t and 374?
1870
Let m(a) = -2*a**2 + 12*a - 8. Let g be m(4). Let u(d) = 2*d**2 - 12*d - 14. Calculate the lowest common multiple of u(g) and 428.
3852
Calculate the common denominator of 73/(-150) + ((-65)/3 - -23) and (2/(-10))/((-2)/(-75)).
150
Let v(r) = -2*r**2 + 17*r - 6. Let c be 20/180 + (-34)/(-18). Calculate the least common multiple of v(c) and 146/4 - 3/6.
180
Let y be 12542/18 + (-40)/(-180). Suppose 0 = -22*r + 183 + y. What is the least common multiple of r and 36?
360
Let n = -1242 + 1254. Let d = -15 - -74. Suppose 4*h = 13 + d. What is the lowest common multiple of h and n?
36
Let v(i) = 35*i**2 + 67*i - 573. Calculate the lowest common multiple of v(6) and 1584.
17424
Let p be 86356/38720 + 1 + -4. Let l = -7/968 - p. Calculate the common denominator of l and 65/48.
240
Let m = -9047 - -9640. Calculate the least common multiple of 3 and m.
1779
Let q = 23499 + -634544/27. Let b = 78/1883 - 71678/457569. Find the common denominator of q and b.
243
Suppose 100*y - 46641 - 101759 = 0. Calculate the lowest common multiple of y and 371.
1484
Let u be (1*2/30)/((-46)/2600817). Let w = -3773 - u. Calculate the common denominator of 113/30 and w.
30
Calculate the lowest common multiple of 4 - 3276/(-15) - (-192)/120 and 98.
1568
Suppose 0 = v - 3*v + 4*o - 4, 0 = 5*v - o - 8. Suppose 0 = v*y - 5*y + 21. Suppose y*h - 63 = -0*h. What is the smallest common multiple of 8 and h?
72
Let j = 254 - 252. Suppose 3*f - 84 = -j*l, -l - 5*f + 44 = -4*f. Calculate the lowest common multiple of 12 and l.
48
Let u be (3900/(-40))/((-9)/287). Let t = -3120 + u. What is the common denominator of t and 77/18?
18
Suppose -25*h + 4 = -29*h. Suppose 5*y = v + 64, -y - v = -0*v - 8. Calculate the lowest common multiple of ((-13)/3 + h)*(0 - 3) and y.
48
Let i(t) = -t**3 + 8*t**2 + 9*t + 2. Let v be i(9). Suppose q + v*q - 6 = 0. Calculate the smallest common multiple of 10 and q*(2 + (-3)/6).
30
Suppose 1589 - 239 = -3*k. What is the common denominator of 10/25 - (-880)/k and -71/108?
108
Let h(r) = -245*r + 1473. Calculate the least common multiple of h(6) and 305.
915
Calculate the common denominator of 4 + (6/(-9))/(3/45) and 45/4604.
4604
Suppose 17*v - 16613 - 2427 = 0. Suppose -67*n + v = -57*n. What is the least common multiple of 140 and n?
560
Let w = 25216/15 - 1699571/1011. Let h = w - -62377/272970. What is the common denominator of h and 49/90?
810
Calculate the common denominator of (4 + -3 - 180)*13*(-15)/(-11700) and 169/2580.
2580
Suppose -4*w + r + 7 = 4, -3*w - 14 = -4*r. Suppose 2*t - 112 = -2*t - 3*g, -2*g = -4*t + 112. Let s = -18 + t. What is the smallest common multiple of w and s?
10
Let w = -5