/8. Let y = -34240 - w. What is the common denominator of 31/24 and y?
96
Suppose -4639 = -230*n + 2261. Calculate the smallest common multiple of n and 3990.
3990
Suppose -4*o - 2*x - 298 = 0, 0*x + 3*x = 4*o + 273. Suppose -3*i - 16 + 70 = 0. Calculate the smallest common multiple of 0 + -2 + o/(-6) and i.
90
Suppose 5*i + q = 4175, 14*i - 12*i = -q + 1667. Suppose 6*x - 1016 = -i. What is the smallest common multiple of x and ((-4)/10)/((-1)/45)?
90
Suppose 441 + 109 = 11*b. Suppose 0 = 2*x - 52 - b. Suppose 0 = -5*f + 57 + 18. Calculate the lowest common multiple of f and x.
255
Let f = -4 + 5. Let m be 55/22 + f/(-2). Calculate the common denominator of -81/20 and 43/m*(-5)/(-30).
60
Suppose 0 = -5*u - 3*f - 0*f - 9029, 0 = u + 3*f + 1813. Let h = 48731/27 + u. Let t = -17946 - -484487/27. Find the common denominator of h and t.
27
Let j(h) be the third derivative of h**6/120 - h**5/60 - 7*h**4/24 + 7*h**3/6 + 88*h**2. What is the lowest common multiple of 1228 and j(3)?
1228
Suppose -12*m = -4*j - 14*m + 1488, 3*m - 372 = -j. Calculate the smallest common multiple of j and 372.
372
Suppose -4*u - 3*w = -11, -u + 4*w + 5 = 26. What is the common denominator of -87/52 and (-148)/(-48) + u - -3?
156
Let q be 2/7 - (-2769)/(-10353). Let t = -46768/1803 - -77514757/2666637. Let l = q - t. Find the common denominator of 10/9 and l.
9
Suppose 2*w - m = 64, -2398*w + 2395*w + 140 = 4*m. Suppose 51 = 2*o - o. What is the lowest common multiple of o and w?
612
Let c = -40 + 47. Suppose -c*o + 3208 = -5*o. Let p = o + -43319/27. Find the common denominator of -17/7 and p.
189
Let v(l) = -32*l - 10. Suppose 0 = 15*i + i + 32. Calculate the least common multiple of 33 and v(i).
594
Calculate the common denominator of 53/710 and 8455/(-1068) + (1 - -1).
4260
What is the common denominator of (-86)/(2 + (0 - -19)) and (4/6)/(((-3150)/(-44))/25 + -3)?
63
Let v = -3114 - 22878. Let g = v + 779573/30. Let n = 7129 + -128429/18. Calculate the common denominator of g and n.
90
Suppose -7428 + 16529 + 14659 = 198*w. Calculate the least common multiple of w and 5688.
28440
Suppose 5*t + 2*z - 3970 = 0, 10*z = 2*t + 7*z - 1569. What is the lowest common multiple of 4 and t?
792
Suppose 14*s = 10*s - 608. Let w = -140 - s. Calculate the smallest common multiple of w and 8.
24
Let f(a) = -a**3 + 5*a**2 + 2*a + 26. Let d be f(6). Suppose -5*x = -4*h + 487, -6*h - 124 = -7*h + d*x. Calculate the least common multiple of h and 10.
590
Suppose -34*u + 37*u = -4*o + 4527, -2*o + 2*u = -2274. What is the least common multiple of 315 and o?
5670
Suppose l + 3*l = 192. Let z(c) = 31*c + 535. What is the lowest common multiple of z(-17) and l?
48
Let g(j) = -4*j - 1. Let i be g(1). Let a be 143/13 - 18 - -5. What is the common denominator of (-2 - (-69)/(-12))/(a - i) and 133/18?
36
Let a = -11419429/57072 - -23217/116. Calculate the common denominator of -97/240 and a.
9840
What is the common denominator of (-3883)/(-55)*(-5)/186 + 2/6 and ((-16)/(-6) - 3)*2/4?
186
Calculate the common denominator of -131/170 and (-2)/(-2652)*(693/(-24) + (-2)/16).
6630
Suppose 0 = 5*b + 3*y - 30, y = 2*b + 2*b - 41. Suppose -165*d - 235 = -170*d. Suppose d*u - 409 = 108. Calculate the lowest common multiple of u and b.
99
Let u = -81271/44568 + -44/1857. Find the common denominator of -87/68 and u.
1224
Let v(k) = -2*k**2 - 4*k - 16. Let u be v(-6). Find the common denominator of -16/3 and (-14)/(-16) - -4*4/u.
24
Let i = 376 + -181. Let r = i + 77. What is the smallest common multiple of 2 and r?
272
Suppose -6 - 14 = -5*d. Let q(x) = x**3 - 4*x**2 + 3*x + 4. Let u = 1079 - 1075. What is the least common multiple of u and q(d)?
16
Let j be (-3)/(-12)*(-6 - -6). Suppose j*w + w = 220. Calculate the common denominator of (5/(w/106))/((-2)/(-4)) and 54/11.
11
Let t = -127/461 - 18845/20284. What is the common denominator of t and (-58)/32*(0 + -1)?
176
Let d = 148 + -139. Suppose 0 = -7*y + d*y - 288. What is the lowest common multiple of y and 28?
1008
Let k = -2756 - -2759. What is the least common multiple of 12874 and k?
38622
Let z be (51 - -8)/((-3)/168). Let m be z/(-42)*(-6)/(-8). Suppose m = 8*v + 11. Calculate the smallest common multiple of v and 12.
12
Let s(t) = 33*t**2 - t + 6. Let d be s(3). Find the common denominator of 3*(-5)/d*87 and 4/(-50)*(-5995)/(-704).
160
Let a = 199 + -147. What is the smallest common multiple of a and 2*5*2*2?
520
Let d be (-2)/(-6) + (-1224568661628771)/(-142245). Let l = d + -8608869636. Let g = l - -2/3161. What is the common denominator of -17/12 and g?
60
Let b = 349153/7784625 - -10/20759. Let d = b - -9637/5250. What is the common denominator of -1/63 and d?
126
Suppose -4 = t, 4*j + 9*t + 1196 = 4*t. What is the common denominator of 1*j/90*2/7 and (-44)/(-54) - (1 + -1)?
135
Let f be (-700)/2988 - (-28)/126. Let k = f + 4411/996. Calculate the common denominator of -71/336 and k.
336
Suppose 5*z - 98 = 3*z. What is the smallest common multiple of -10*(24/30 + (-8)/8) and z?
98
Let w = -182597/24 + 7607. What is the common denominator of ((-1)/(-4))/(9/(-17)) and w?
72
Let r = -769/33 + 73/11. Let b = -723140/7 + 103536. Let x = -224 + b. Calculate the common denominator of r and x.
21
What is the common denominator of 52/(-70)*(-2052)/432 + (-6)/63 and ((-69)/30)/((-189)/(-56))?
270
Suppose 5*p - 573 = -z, 3*p = -8*z + 1243 + 3045. What is the smallest common multiple of z and 41?
533
Let k = 137722 - 251204891/1824. Calculate the common denominator of k and 61/3876.
31008
Let i be 13*-5 + 10/5. Let g be (-5)/((-5)/87)*246/i. Let m = -21647/63 - g. What is the common denominator of 37/7 and m?
63
Suppose -54 = -14*s + 23*s. Let k(b) = -b**3 - 4*b**2 + 13*b + 11. Let o be k(s). Suppose -12*l = -o - 139. Calculate the lowest common multiple of 4 and l.
12
Let j(l) = 4*l - 18. Calculate the least common multiple of j(15) and 126.
126
Let z = -5/78 - -4769/780. What is the common denominator of z and (-83)/72 + 6/9?
360
Let a = -200 + 207. Suppose -2*m = -3*l - 208, 2*l + 197 + a = 2*m. What is the smallest common multiple of 42 and m?
294
Suppose 33*d - 3105 = -531. Suppose 264 = -d*c + 89*c. Calculate the lowest common multiple of 16 and c.
48
Let r(m) = 12010*m**3 - 5*m - 2. Let u be r(-1). Let h = u + 828469/69. Calculate the common denominator of 43/21 and h.
483
Let g(d) = 2*d**3 - 10*d**2 + 12. Let f be g(4). What is the common denominator of -63/8 and (-108)/(-96)*144/f?
40
Suppose -4*x + 1 = h - 35, -x - 16 = -h. Suppose 17 - 20 = -f. Suppose -i + 2*o = -16, 6*o = -5*i + f*o + 54. Calculate the lowest common multiple of h and i.
60
Let d = 247 + -537. Find the common denominator of d/(-56)*48/(-240) and 139/6.
84
Suppose -5 = -5*r, -2*c + 0*r = r - 5. Suppose w = 4*j - 97, 2*j + c*w + 56 = 4*j. Calculate the smallest common multiple of (1 + -2)*3/(-3) and j.
23
Let s = 411 - 381. Let o(j) = 115*j**3 - 9*j**2 + 11*j - 3. Calculate the lowest common multiple of s and o(1).
570
Let s = 17317 - 16342. Calculate the least common multiple of 45 and s.
2925
Let x = -1447 - -11517/8. Calculate the common denominator of x and 123/(-63)*(-6)/4.
56
Calculate the lowest common multiple of 48 and (35/(-21))/(85/(-98532)).
7728
Suppose -20 + 905 = -3*s. What is the common denominator of 16/37 and s/(-35) - -6*2/(-4)?
259
Let t = 54791/12 + -4577. Find the common denominator of t and -115/1356.
1356
Let j be 0 - (0 - (3 + -1 + -20)). What is the lowest common multiple of 2 and 1 - -3*(-336)/j - -1?
58
Suppose a - 2*y - 3238 = 3*a, 2*a = 3*y - 3253. Find the common denominator of 47/18 and a/(-2380) - 5/(100/8).
2142
Let a = -550 - -1261. Let k = a - 7806/11. Calculate the common denominator of k and -103/132.
132
Let n = 33 + -31. Let c be (19*(-3 - (-4)/n))/(-1). Let y = c + -11. What is the least common multiple of 18 and y?
72
Let b(a) = a**2 + 11*a + 13. Let k be b(-10). Let x = 9/5 - -254/45. Find the common denominator of x and 288/44 - k - 2.
99
Suppose i + 2 - 33 = 0. Suppose v - 4*t = i, 2*v - 50 = -3*t + 8*t. Let m = 25 - v. What is the least common multiple of m and 3?
30
Let b = -128705/24 - -5364. Let t be -2 + 1/((-120)/(-24113)). Let o = t - 1595/8. Find the common denominator of o and b.
120
Let w = -1068 - -1152. What is th