pose -x*l = -o*l + 48. Calculate the least common multiple of 8 and l.
16
Suppose -39*p + 23*p = 804 - 5156. What is the least common multiple of 2720 and p?
2720
Let z = -6083023/232 + 26220. Find the common denominator of (-3 - -6) + (-812)/72 and z.
2088
Let o be ((-28)/8 - 1/(-2)) + -62. Let h be (o + 0)*(-12)/50*-5. Find the common denominator of -23/12 and (1 - 1600/h) + 4/26.
12
Let x(z) = -182*z + 20. Let w be x(-15). Calculate the common denominator of (w/(-231))/(12/(-7)) and (5/(-40))/((-16)/1424).
72
Let o = -62 - -65. Suppose o*y + 4*t - 875 = 0, 7*y - 3*y + t - 1145 = 0. Find the common denominator of (y/(-96))/(7/14) and -79/32.
32
Suppose -4 = 2*v + 14. Let q(z) be the third derivative of z**4/8 + 29*z**3/6 - 21*z**2 + 12. What is the smallest common multiple of 6 and q(v)?
6
Let j = -14 - -16. Suppose 2*y = -j*h - 23 + 1, 65 = -4*h + 3*y. Let i(c) = c**3 + 15*c**2 + 14*c + 6. What is the smallest common multiple of i(h) and 9?
18
Let k be (-2)/(-4 - -6) - 1/(-1). Suppose -4*b + 0*p + p + 1243 = 0, k = b + 5*p - 337. What is the common denominator of 28/(-182) + (-2734)/b and 127/18?
36
Suppose -4*o + 5 = w + 1, -16 = -5*o - 4*w. Suppose o = -0*x + 8*x - 616. Calculate the common denominator of (174/(-16))/(x/28 + -1) and 11/16.
112
Suppose 0 = -s + 4*t + 66, 5*s + 3*t + 74 = 450. Let p = -19 + 83. Let a = s - p. Calculate the lowest common multiple of 16 and a.
80
What is the common denominator of -81/352 and (-14)/44*154/(-704)?
704
Find the common denominator of -12 - (15 - 1279057/47424) and -63/64.
3648
Suppose 0 = 2*y - 6*y + 16. What is the common denominator of -81/10 and ((-5)/(-15*y))/((-38)/642)?
380
Let k(q) = -155*q - 753. Calculate the least common multiple of k(-5) and 590.
6490
Let c(d) = -d**3 - 10*d**2 + 6*d + 2. Let m be c(-8). Find the common denominator of 0 + (3 - 1) + (-799)/51 and 8/(-2) - m/4.
6
Let l = -4989 - -79861/16. Calculate the common denominator of 61/330 and l.
2640
Let t be ((-4)/78)/(69154/(-213)). Let y = 690175/607776 - t. Calculate the common denominator of y and -37/16.
96
Let r(u) = -8*u + 273. Calculate the lowest common multiple of 369 and r(30).
4059
Let p(h) = -h**2 + 5*h + 4. Let g be p(-1). Let l = -34/63 + 677/126. Find the common denominator of l and 4*-3*g/(-32).
12
Let h = 9091/19920 + -428/249. Calculate the common denominator of h and 79/134.
5360
Let m = -278 + 286. Suppose -2*u - 304 = 6*u. Let k = u - -46. Calculate the smallest common multiple of m and k.
8
What is the common denominator of -3/11 and ((-235)/(-20))/((-6)/4)*(-15)/24410?
107404
Let v be 12*(6/(-8))/(66/44). Calculate the common denominator of (-22)/(-33)*-158*v/(-320) and -169/30.
120
Let q = -263586871/3355 - -392827/5. What is the common denominator of -93/20 and q?
13420
Let u(i) be the second derivative of -4*i**3/3 + 71*i**2/2 - 136*i. What is the lowest common multiple of u(7) and 33?
165
Suppose 0 = -5*y + 5*d + 604 + 281, -5*y + 890 = -4*d. Calculate the lowest common multiple of 130 and y.
910
Suppose r = -3*y + 5*r + 164, -2*r + 182 = 4*y. Find the common denominator of -425*2/y*(-50)/(-500) and 83/42.
336
Let p = 468 - 321. Suppose 2 - 65 = -d - m, 5*m = 2*d - p. What is the lowest common multiple of d and 77?
462
Let j = -7 - -3. Let s be (3/j - (-1)/(-4)) + 87. Suppose 3*y - s = -4*n, 0 = y + 3*n - 5 - 22. Calculate the lowest common multiple of 12 and y.
60
Suppose -3*a = 107 - 11 - 552. What is the smallest common multiple of 608 and a?
608
Calculate the common denominator of -137/1020 and (-22)/(-264) + (2016/(-135))/8.
1020
Suppose -2*x + 4298 = 4*g, 4*x - 2*x + 3*g = 4298. Let v = 7713 - x. Let t = v + -55523/10. Find the common denominator of -45/16 and t.
80
Let f = -70026 + 198243609/2831. Calculate the common denominator of f and -73/190.
28310
Let c(a) = 24*a - 32. Let s be c(-17). Find the common denominator of s/520 - 10/(-4) and 71/48.
624
Suppose -114962 = -36*w - 14486. Let d = 19576/7 - w. What is the common denominator of d and 41/52?
364
Let p = -60475903/340 + 177870. What is the common denominator of p and -38/15?
1020
Let g = -538293/184 - -2925. Find the common denominator of 21/40 and g.
920
Suppose -3480 = -212*z + 67*z. Suppose 7 = -3*f - 5*v, 4*v + v + 55 = 5*f. What is the lowest common multiple of f and z?
24
Suppose 3*r = -2*m + 167, 5*r - 5*m + 71 - 366 = 0. Let n = r + -55. Suppose -v + n*v + 3 = 0, -4*f + 5*v = -39. What is the least common multiple of f and 33?
66
Let s(i) = 2*i**2 - 17*i + 12. Let p be s(8). What is the common denominator of (-31954)/(-5148) + p/22 and 9/8?
72
Suppose 2*j = 2*a - 190, 14*a + 4*j = 11*a + 250. What is the least common multiple of a and 790?
7110
Suppose -5*u + 177 = z, u - 20 = -6*z + 27. Calculate the lowest common multiple of 2863 and u.
14315
Let w = -2914 - -2939. Calculate the common denominator of w and -67/840.
840
Find the common denominator of -77/24 and (29/3)/(2193/153).
1032
Let x be 4/14 + (-142)/7. Let c = 38 + x. Calculate the smallest common multiple of 56/32 - 1/(-4) and c.
18
Let v be 1*3 + (-852)/(-4). Let m = 84 - v. Calculate the common denominator of 3 - 3 - m/9 and 87/10.
30
Calculate the least common multiple of 153 and (-142)/(0 + 5 + -7) + -8.
1071
Suppose -21*b = -17*b - 20. Suppose 3*o = b*l - 105, -3*l + o + 29 = 6*o. What is the lowest common multiple of l and 54?
54
Let f be 4 + (-2 - (5/1 + 1)). Calculate the common denominator of 57/4 and f/6*1677/(-1742).
268
Calculate the smallest common multiple of (-35)/(350/60)*6*-5 and 10.
180
Let p be (-3)/(-7) - 998114/1273440. Let c = 2/1895 + p. What is the common denominator of -7/24 and c?
48
Let s(l) = 3*l + 48. Let d(g) = 3*g + 47. Let p(t) = -4*d(t) + 3*s(t). Calculate the least common multiple of p(-18) and (3 + 15)*2/4.
90
Let w be 259/37 - (1 - 0). What is the smallest common multiple of 90 and (4 - -6) + 116 - 1*w?
360
Let x(n) = 2*n**3 - 3*n**2 - 20*n + 9. Calculate the smallest common multiple of x(4) and 27.
27
Suppose 3*q = -c + 9, 6*c + 8 = -q + 2*c. Suppose -s = -4*w + 21, 0 = 9*s - 8*s + 5. Suppose w*g - 13 = 59. What is the smallest common multiple of q and g?
36
Let t = -3153769 - -16478442958/5225. Calculate the common denominator of -89/495 and t.
47025
Suppose 4*a - 4*n + 24 = 0, 0*n = -a - 2*n + 6. Calculate the least common multiple of 35 and (-2 - (-3 + a)) + (1 - 0).
140
Suppose -34163 = -24*p + 21517. Calculate the lowest common multiple of 55 and p.
25520
Find the common denominator of 828/1380 + (-758)/(-220) and 69/3536.
38896
Let d = 640/17 + -80317/2142. Calculate the common denominator of d and 61/518.
4662
Suppose 670 = 6*c + 286. Calculate the common denominator of (c/552)/(5/60) and 3/29.
667
Suppose -4*l = 9*l - 18*l + 125. What is the lowest common multiple of 175 and l?
175
Let b(l) = -4*l + 7. Let z(g) = -g**3 - g - 1. Let o be z(-1). Let d be ((-15)/6)/(o/2). What is the smallest common multiple of 6 and b(d)?
54
Suppose 112 = 11*x - 3*j, 10*x - 48 = 7*x - 5*j. What is the least common multiple of x and 369?
4059
Find the common denominator of -46/155 and 2645780/(-111600) + 23 + (-9)/(-12).
1395
What is the lowest common multiple of 3440 and (174/(-3219) + (-1104)/111)*4/(-2)?
3440
Find the common denominator of -32/209 and 198/15*-4*1/152.
1045
What is the common denominator of 65/196 and (-1328)/(-560)*(-1)/(6 + -20)?
980
Suppose -386 = -4*x - 214. Suppose -4 = 13*j - x. What is the smallest common multiple of j and 2?
6
Let y be (-2)/(-14)*-4 + 133630/(-245). Let u = 723 + y. What is the least common multiple of 7 and u?
1239
Suppose -14*a = -19*a + 125. Suppose a = -4*y + 153. What is the smallest common multiple of 40 and y?
160
Suppose -2*w + 3*w - 12 = -5*m, -4*m + 14 = 3*w. What is the smallest common multiple of (-37)/(-444) + 3/(180/59875) and w?
998
Let b = -40157/14910 + 242/213. Find the common denominator of 179/6270 and b.
43890
Let r = 16 + -23. Let f(j) = 5*j + 4. Let s(b) = 6*b + 3. Let n(p) = -4*f(p) + 3*s(p). Calculate the smallest common multiple of 6 and n(r).
42
Let k = -22584 + 7859243/348. What is the common denominator of k and 61/66?
3828
Let x(s) = -s**3 + 18*s**2 - 25*s + 18. Let j be x(16). Let b be 14*1/(-2) + (-3)/(-1). Calculate the common denominator of -49/4 and b + j*(-3