*103 and -109/30.
180
Let a = -2 - -4. Suppose 3*s = b + 135, 3*b - 121 = -2*s - 53. Calculate the lowest common multiple of a and s.
86
Let r = -1739047/3 + 17614423/30. Let g(w) = 35*w**3 + 2*w**2 - 2*w + 4. Let y be g(-6). Let p = r + y. Find the common denominator of -41/9 and p.
90
Let f(y) = -6*y**2 + 37*y - 8. Let n = 21010059212/5029447 - 544/135931. Let j = 4177 - n. What is the common denominator of j and f(6)?
37
Suppose x - 5*w = 13, -5*x + 2*w + 44 = -2*w. Let c = 36 + -5. Suppose 4*g - c = 1. Calculate the least common multiple of g and x.
8
Let w = 845/102 - 292/51. Let t = 315 - 551. What is the common denominator of -7 + t/(-16) - 3/1 and w?
68
What is the common denominator of 41/1428 and 2/14 + (-21476)/(-4704)?
2856
Suppose 0 = -5*x - 98 - 162. Let p = 11 + -8. What is the least common multiple of p and 4/30 - x/(-60)*-1?
3
Let o = -666/2243 - -397703/2691600. What is the common denominator of -89/8 and o?
1200
Suppose 5*g - 796 = 2*g + t, -4*t = -g + 269. Calculate the common denominator of -77/48 and -1 - ((-2)/(-8) - g/(-120)).
48
What is the common denominator of 89/2290 and 53/(-17) + 3 + 81732/545020?
2290
Suppose -4*h + 37 + 2 = -j, 2*j = h - 15. Suppose -4*f + u = -h, 4*u + 22 = 2*f - 0. What is the common denominator of (161/(-12))/f - -2 and 5/36?
36
Suppose 41*c + 16020 = 56*c. Let z = c - 6517/6. Calculate the common denominator of z and -43/24.
24
Suppose -129*t = -119*t + 330. Calculate the smallest common multiple of 8 and t/(-11) + 2/(-1 - -3).
8
Calculate the least common multiple of 9 and (-14630)/(-14) - (-35)/(-10)*-2.
9468
Let v = 97463/9539395 + -31/2515. Let y = v + -443461/151720. Find the common denominator of y and -137/36.
360
Suppose -2*x + 4*x - 4 = 0. Suppose 3*u - 17 - 21 = 4*m, -x*m = -3*u + 28. Let v = -414 - -415. Calculate the lowest common multiple of v and u.
6
Let i(p) = 32*p + 1052. Calculate the smallest common multiple of i(3) and 7.
1148
Suppose -3*j = -3, j = -2*h - 4*j + 10727. Let n = 48311/9 - h. What is the common denominator of n and -47/72?
72
Suppose -26*q - 14*q = -10*q - 24150. What is the smallest common multiple of 60 and q?
9660
Suppose -5*t = -l - 21, 4*l + 10 = t + 2. What is the least common multiple of ((-4)/2)/(1/(-8)) and t?
16
Let n(j) = 6*j**3 - 3*j**3 + 5 + 3*j**3 - 7*j**3 - 6*j**2 + 11*j. Let h be n(-6). Let l = 83 + h. What is the least common multiple of 22 and l?
22
Let m(o) = -45*o + 785. What is the least common multiple of m(17) and 8?
40
Let c(b) = -b**3 + 22*b**2 + 6*b + 108. Calculate the least common multiple of 1200 and c(22).
1200
Let l(h) = -h**3 + 68*h**2 - 4*h + 347. What is the least common multiple of l(68) and 5650?
16950
Calculate the common denominator of -53/234 and ((-80)/27 + 3)*(-954)/126.
4914
Suppose 0 = 7*b - 8*b + 3*c + 38, -4*c + 95 = 5*b. Suppose 0 = 3*g - 2*z - 26, 0 = -4*g + b*z - 21*z + 32. Calculate the least common multiple of 105 and g.
210
Let j = 52 - 50. Suppose 0 = 2*o - j*i - 16, o + 5*i - 26 = -0*o. Calculate the least common multiple of o and 11.
11
Suppose -5*h = -0 + 40. Find the common denominator of 37/8 and (-1403)/1104 - 2/h.
48
Let d(f) = f**2. Suppose -8 = 2*o + 4*h, 5*o - 4*h + 77 = 29. Calculate the smallest common multiple of 48 and d(o).
192
Suppose 3*y = 2*y - 2*f + 6, 4*y - 2*f = 4. Suppose -4*p = 4*s - 672, -y*s + 177 = -s - 2*p. Calculate the least common multiple of 2 and s.
342
Let w be (3/6 - 0)*(2 + 4). Let k be (-1)/3 + (2179/w - 2). Find the common denominator of 77/4 and k/(-120) - (-2)/6.
20
Suppose -2938 = -4*n - 5*z, -4*n - 3*z = -2*n - 1468. Let i = n + -674. Calculate the lowest common multiple of 9 and i.
63
Let u = 3852255093265/2716 + -9928506920/7. Let g = 14412/7 + u. Find the common denominator of 101/22 and g.
4268
Let k = 708 - 633. Let v = k + -35. What is the least common multiple of 224 and v?
1120
Let u be (64 - 66) + -1*(-2138)/(-248). Let t = u + -4/31. Let s(l) = -3*l**2 + 2*l + 6. Find the common denominator of t and s(-4).
4
Let a = -4375 + 21676/5. Let j = -821/20 - a. Find the common denominator of j and -71/9.
36
Let h be ((-57)/(-38))/((-2)/4) + 11. What is the common denominator of h/(-52) + (-3369)/156 and -137/12?
12
Calculate the common denominator of (-19)/((-3648)/(-1016)) - -1 and -46/2901.
23208
Let j(g) be the third derivative of -g**5/60 + 23*g**4/24 + g**3 - 8*g**2. What is the least common multiple of (-4)/10 + (-17)/(-5) and j(23)?
6
Let u = -38 - -56. Suppose -w - 30 = -94. Suppose 0*q - 44 = -2*x - 4*q, -4*q = -4*x + w. Calculate the lowest common multiple of u and x.
18
Suppose 0 = 166*c - 24142 - 8394. What is the smallest common multiple of 658 and c?
9212
Suppose -3*q + 5*q - 2*b = 20, -23 = -2*q + 3*b. Calculate the least common multiple of q and (-1 - (-1)/3) + (-52)/(-6).
56
Let i(c) = 2*c - 14. Let m be i(8). Suppose -3*p + 492 = 2*z, -z - m*p + 156 = -89. Calculate the least common multiple of 9 and z.
747
Suppose -6*z + 70 = 64. Suppose -z - 1 = 2*v, -o = 4*v - 155. Calculate the smallest common multiple of o and 6.
318
Let j be (0 - -4) + (4 + -2)/2. Suppose 2*m + 341 = j*a, -4*a = 9*m - 5*m - 256. What is the smallest common multiple of 3 and a?
201
Let g = -329 - -328. Calculate the common denominator of (-39)/(-16) - (-1)/1 and -57*(-8)/(-816) - g.
272
Let x = -28 - -32. Let w be (40 - 5) + -2 + x. What is the lowest common multiple of 11 and (-32)/(-3 - -1)*w/74?
88
What is the smallest common multiple of 863 - (-80)/(130/(-13)) and 111?
31635
Let l = 142 + 28. Calculate the least common multiple of l and 578.
2890
Let u(n) = 446*n - 458*n + 3*n**2 + 22 - 4. Suppose z - 6 = -0*z. What is the least common multiple of z and u(8)?
114
Let n = -2000 + 18017/9. Let s = 66537/9370 + -1/937. Calculate the common denominator of s and n.
90
Let i = 3072 - 2976. Calculate the smallest common multiple of i and 162.
2592
Suppose 4*y - 6 = 4*v - 18, 1 = y + v. Let l(c) = -62*c**2 + 2*c. Let n be l(y). Let r = n - -62. Find the common denominator of r and -24/5.
5
Let w = -435459/44 + -71961/22. Let h = w - -13240. Let v = 48 - h. What is the common denominator of -63/8 and v?
8
Let b = -85829/220428 - 7/4239. Calculate the common denominator of b and 64/65.
780
What is the common denominator of 133/6066 and (338/(-234))/((-12)/16)?
18198
Suppose -9*w = -126 - 45. Suppose -64 = 15*x - w*x. Find the common denominator of (-30)/(-14) - x/(-56) and 73/8.
56
What is the common denominator of (-8)/(-12) - 92/50 and 626/(-550) + 70/(-875)?
825
Let t = 1/66399 - -27245699/1593576. Let l = 143/8 - t. Calculate the common denominator of l and 1824/1166 - (-22)/(-1166).
99
Let y be (58/(-377))/(1/(-24)). Let r = -72/65 - y. What is the common denominator of r and -3 + 3 + (-76)/10?
5
Let m be 627/2844 - 36/144. Let p = -1069/1422 - m. Find the common denominator of (-6)/88*34/33 and p.
2178
What is the lowest common multiple of (-2)/9 - (2504838/189)/(-23) and 36?
576
Let y = -6226/7 + 156644/175. Let k = -27/25 + y. Let p = 164859/14 + -11782. What is the common denominator of k and p?
70
Let b = 48 + -48. Suppose b*k = -k - 4*s - 4, -2*k + 4*s = -4. Suppose k = -5*n + 20, -5*i + 32 = -2*i + 5*n. What is the least common multiple of 14 and i?
28
Let b = 171535937627/63 + -2722735517. Let j = -57145 + b. Calculate the common denominator of j and -13/77.
693
Let j = -337 + 333. What is the common denominator of 1/j*-4*(-50)/(-88) and -19/12?
132
Let g = -4774 - -4969. What is the smallest common multiple of g and 130?
390
Let k = 86 - 64. Let n = -4 - k. Find the common denominator of n/65 - 82/(-330) and -53/18.
198
Let n = 187 + -172. Suppose -8*i = n - 39. Calculate the lowest common multiple of 22 and i.
66
Find the common denominator of 23/66 and ((-509174)/10212 - -37) + (1 - -12).
2442
Suppose 0*o - o + 1 = 0. Suppose 2 - o = -b. Find the common denominator of b - (3 - 3) - (-160)/84 and 4/3.
21
Calculate the smallest common multiple of ((-1)/2 - 0)*-10 - (-306 + 303) and 684.
1368
Let i = -7327 - -7588. What is the smallest common multiple of 45 and i?
1305
Suppose -79 = -13*x - 79. Suppose -4*o - 136 = -24*g + 20*g, 5*o - 5 = x. Calculate the least common multiple of g and 40.
280
Calculate the smallest common multiple of 55/3*6*112/8 and 1100.
7700
S