85/928?
928
Suppose 4*d + 48 = 4*n, 2*d = 2*n + 3*d - 9. Suppose -10*q + 42 + 58 = 0. What is the smallest common multiple of q and n?
70
Suppose -5*w - 6*m + 15 = -2*m, 2*m = 0. Let l be ((-310)/48)/(w/27). Let b = 3371/56 + l. What is the common denominator of 101/4 and b?
28
Let i be (168/(-4))/((-15)/10 - 0). Calculate the common denominator of (-1 - 246/(-32)) + -1 and 38*i/1440 + 9/81.
80
Let n = 727 - 722. Suppose -2*s + 2 = 0, 9*p + 36 = 10*p - n*s. What is the lowest common multiple of p and 8?
328
Let w(m) = 3*m**2 + 27*m + 4. Let q be 33 + 0 + 0*(-4)/(-20). Let v = q + -42. What is the lowest common multiple of w(v) and 10?
20
Suppose -33*s - 212 = -4*m - 37*s, 0 = 2*m - s - 112. Suppose 0 = 65*b - m*b - 900. What is the lowest common multiple of b and 63?
630
Let r = 31/54 - 2/27. Let a = -34857509/84 - -414976. Let b = a + -5723/987. Find the common denominator of b and r.
188
Let h = 3919/2 - 29309/15. Find the common denominator of -53/1836 and h.
9180
Let g = 1054 + -1000. Suppose 257 = 4*n - 7*k + 6*k, -3*n - 3*k = -174. What is the lowest common multiple of g and n?
378
Let o(q) = 7*q**3 + 6*q + 15. Let x be o(-3). Calculate the smallest common multiple of 0 - (x/6 + (1 - 1)) and 48.
96
Calculate the lowest common multiple of 189 and 0 + 2 + 36437/83.
1323
Let p(q) = 2*q**3 - 38*q**2 - 34*q - 50. What is the smallest common multiple of 91 and p(20)?
910
Let v be 36/30*(-5)/(-2). Let g(w) = -w**2 + 5*w - 9. Let q be g(v). Calculate the common denominator of -17/6 and 20/(-18) - q/(-27).
18
Let a = 116 + -289/2. Let k = 573/2 - 2379/8. Calculate the common denominator of k and a.
8
Let d be 2946/(-5425) - (-280)/490. Let m = -91291/21700 + d. Find the common denominator of 33/70 and m.
140
Let m = -16491 + 230779/14. Calculate the common denominator of 5/6394 and m.
44758
Let r(f) = f**3 - 3*f**2 - 5*f - 5. Let o be r(4). Let i be ((-318)/o)/((-8)/(-12)). Let t = 74 - i. Calculate the least common multiple of 6 and t.
42
Suppose 4*n - 59 = -4*c + 33, c = n + 19. Let w(p) = -3*p - 5*p + 15*p + 10 - p**2. Calculate the least common multiple of w(7) and c.
210
Suppose q - f - 188 = 0, 4*q - 5*f = -60 + 808. Calculate the least common multiple of q and 480.
960
What is the least common multiple of -3 - (6 + (-147)/28)/(2/(-2408)) and 36?
900
Let i be (257978/132)/(-7) - (-2)/(-12). Let p = i + 274473/880. Let l = p - 163/5. Calculate the common denominator of 65/6 and l.
48
Let k(u) = 3*u**2 - u**2 + 188 + u**2 - 2*u**2 - 26*u - 161. What is the least common multiple of 111 and k(1)?
222
Let c = -70787 + 13591027/192. Find the common denominator of c and 41/48.
192
Let l = -35313/8338 + 3/379. What is the common denominator of l and -87/832?
9152
Let z = 719567/49 - 14686. Find the common denominator of z and 10/77.
539
Let w(i) = 924*i + 38. Calculate the least common multiple of w(0) and 1330.
1330
Suppose -4*o + 10503 = -5*x, -144*x = o - 147*x - 2624. What is the least common multiple of 407 and o?
28897
Calculate the common denominator of 1 + (-47)/32*2 and 33 - (-21 + 26481/490).
560
Suppose 5*b = 2*o + 10, -2*b + 4 = -3*o - 0*o. Suppose -t = -2*g - 5, 4*g + 8 = g + b*t. What is the common denominator of 25/7 and (0 - -1)*(-185)/(-60)*g?
42
Let w = 1613882/77 - 20959. Find the common denominator of w and 157/84.
924
Let j = -532285937/952 - -559124. Calculate the common denominator of -119/40 and j.
4760
Let r = 29913 + -1435853/48. What is the common denominator of 57/160 and r?
480
Let i = 3224 - 45203/14. What is the common denominator of 4/(-30) + 2001/6120 and i?
2856
Let z = 12831 + -12606. Calculate the smallest common multiple of z and 1175.
10575
Let t(q) = q**3 + 10*q**2 - 16*q - 49. Let o be t(-11). Calculate the common denominator of 113/162 and -4 + 27/o - 26/(-6).
162
Let u = -59319935/208788 - -38934/137. Find the common denominator of u and 83/10.
7620
Let f = -18853/2 - -9449. Find the common denominator of f and -73/603.
1206
Let i be ((-172)/(-6) + (-11)/(-33))*1. Suppose 0 = -4*m - 5*a + i + 54, 0 = -3*m + 2*a + 91. Calculate the lowest common multiple of m and 96.
864
Let n(k) = -k**3 - 19*k**2 - k + 312. Let t be ((-8)/(-4))/(4/10). Suppose -m = -2 + 5, 4*m = t*z - 57. What is the smallest common multiple of n(-18) and z?
18
Suppose 0 = 6*i + 1012 + 14. Let c = 2867 - i. Find the common denominator of -115/18 and c/(-420) - (-2)/6.
90
Suppose 5*o - 5807 = 4*f, 251*o + 2302 = 253*o + f. Calculate the smallest common multiple of o and 525.
5775
What is the common denominator of 26/(-280) - (-21)/147 and ((-57)/(-290))/1 - (-4)/(-5)?
580
Suppose -6*k + a + 646 = -k, -5*k + 3*a + 638 = 0. Calculate the common denominator of (-202)/(-10)*k/(-208) and (53/(-60))/(3/(-9)).
40
Find the common denominator of 61/147 and (-92)/18*30/440*-4.
1617
Let v(n) = n**3 - 2*n**2 - 26*n + 32. Let m be v(6). Suppose -91*r = -81*r - m. Let f = 9427/3228 - 1/269. What is the common denominator of f and r?
12
Let f(w) = -27*w**3 + 3*w**2 + 3*w + 1. Let m(z) = 4*z**3 + 2*z**2 - 3*z + 1. Let c be m(1). What is the least common multiple of f(-1) and c + -4 - -8*2?
112
Let o(g) = g**3 + 3*g**2 - 9*g - 1. Let h be o(-5). Calculate the least common multiple of -3*(7 + h) - -13 and 10.
10
Find the common denominator of 123/830 and (4/((-32)/(-15)))/(15 - 2394/140).
11620
Let j be 4/(-6)*(0 - (-59067)/(-72)). Let o = j - 552. Calculate the common denominator of o and (33/(-30) - -1)*19.
60
Let s = -2/1960711 + 327439829/1070548206. Find the common denominator of s and -155/156.
1092
Suppose 0 = -3*a - 22 + 88. Suppose -3*c - 39 = -6*c. Suppose 15*r - c*r = a. What is the smallest common multiple of 16 and r?
176
Let d be (-183492)/234 - (0 + (-4)/26). Find the common denominator of (8/(-6) + 1)*1974/d and 9/14.
56
Let t = -520 - -652. Suppose -3057 = -25*s - t. What is the least common multiple of 52 and s?
468
Let t(c) = 38*c + 380. Let k be t(-10). What is the common denominator of 1 + k + 69/(-34) and -29/10?
170
Suppose -51*k + 2744 = 69*k - 136. Let r = -117 - -198. What is the least common multiple of r and k?
648
Let k be (-96)/(-168)*(-10227)/6. Let g = 49684/51 + k. Find the common denominator of 28/15 and g.
255
Let b = 87 + -353/4. Find the common denominator of (2/7)/(141/17 + -5) and b.
196
Let z(t) = -2*t**2 - 10*t - 2. Suppose -4*f - 36 = 5*f. Let w be z(f). Calculate the smallest common multiple of 1*w*(2 + 132/9) and 4.
100
Let o(y) = y**2 - y - 2. Let t be o(3). Suppose 2*g = -c + 31, -2*g + 9 = t*c - 7. What is the smallest common multiple of g and (8/(-18))/(28/(-3906))?
558
Suppose -3*q = 4*r + q - 44, -5*r + 5*q + 25 = 0. Suppose 0 = -r*w - 13 + 21. What is the lowest common multiple of 94 and w?
94
Calculate the common denominator of 253/(-78) - 196/(-56) and -101/354.
4602
Let z = 6/8995 - -286814/1538145. Find the common denominator of z and -49/1710.
1710
Suppose 4*w - 6*w = -42. Calculate the common denominator of (-18)/w + (-4134)/(-168) and -67/16.
16
What is the smallest common multiple of 115 - -481 - (-8)/((-16)/4) and 324?
3564
Let t(a) = -a**2 + a + 9. Let u(m) = -m. Let q(r) = t(r) + 4*u(r). Let n be q(-3). Suppose -n = -3*b + 2*b. Calculate the lowest common multiple of b and 9.
9
Let t(n) = 11*n**2 - 4*n + 56. Calculate the least common multiple of t(-8) and 3.
792
Let u = 25628663/11030 - -616/1103. Let h = u - 2322. Let s = 1707 + -37541/22. Find the common denominator of h and s.
110
Suppose -2*q - 4*a + 40 = 0, 3*q + 5*a = 5*q + 5. What is the lowest common multiple of q and 648?
3240
Let g = -7954 + 8578. Calculate the smallest common multiple of 1950 and g.
15600
Suppose 34*h + 180 = 37*h. Suppose -3*i - h = 3*t, -3*t + 4*i = t + 80. Calculate the common denominator of (-12)/t + (-154)/(-30) and -19/3.
15
Let j = 4618 - 4500. Calculate the smallest common multiple of 767 and j.
1534
Let k = 4045137/280 + -14447. Find the common denominator of 9/800 and k.
5600
Let m = -109276 - -109292. Suppose w - 15 = -3*i + 38, 0 = 2*i - 6. Calculate the lowest common multiple of m and w.
176
Let d(m) = -8*m + 122. Let r be d(10). Calculate the common denominator of (r/(-196))/(2 + 290/(-124)) and -34/77.
539
Suppose 29 + 31 = f. Let z be 2 + ((-84)/10)/((-18)/f). Calculate the common denominator of (11