of q and -53/895?
3580
Suppose 167*w + 105 = 174*w. Let n(b) = b**2 - 9*b + 11. Let z be n(5). What is the smallest common multiple of w and z/((-2)/(-10)*-3)?
15
Let p be ((-107834)/(-96))/(1356/16). Let x = 4/1017 - p. Find the common denominator of x and 11/3.
12
Let i(j) = j**3 - 3*j**2 - 5*j + 2. Let s be i(4). Let w = 6499/26028 + 2/6507. What is the common denominator of s/33*(-435)/10 and w?
44
Let b be (-5 - (-1 + 0)) + (-1022)/(-343). Let d = b - -1437/784. What is the common denominator of d and -97/118?
944
Let r = 260/2193 + 1097545/1462. Let s = r + -753. Calculate the common denominator of s and -18 + (2 - -11) + 190/48.
24
Let g(v) = v**3 + 2*v**2 - v + 1. Let r(x) = 45*x**2 + 357*x + 27. What is the lowest common multiple of r(-8) and g(2)?
255
Suppose 2*m + 0*m = -3*w, 3*w - 15 = 3*m. Let g(c) = 3*c + 1. Suppose 78*z = 75*z. Calculate the least common multiple of w and g(z).
2
Suppose -42 = -5*z + 2*z. Suppose -40*l - 160*l - 25415 = -116615. What is the smallest common multiple of l and z?
3192
Let q = -1529776 + 2545547373/1664. Find the common denominator of q and -97/416.
1664
Let s = 15445/2 - 7710. Let h = 300485/47632 - -12/2977. What is the common denominator of h and s?
16
Suppose -23*r + 48 = -17*r. Suppose -r*q - 3*c + 39 = -5*q, 3*c = 15. Calculate the smallest common multiple of 44 and q.
88
Suppose s = -4*c - 46, 63*c - 61*c + 14 = -5*s. Let g = 420 + -225. Calculate the lowest common multiple of s and g.
390
Suppose 5*k = -3*d + 3*k - 386, -4*k = 5*d + 640. Calculate the smallest common multiple of (d/7)/((-70)/245) and 42.
462
Suppose -14*o + 47 - 215 = 0. Let s(v) = 12*v**2 - v + 2*v + v**3 + 0*v**3 + 16. What is the lowest common multiple of s(o) and 2?
4
Let i = 1 + 3. Let r be -4 - (14 - i)/(-1). Let k = r + -5. What is the smallest common multiple of k and 10?
10
Let t = 1087206351/40 + -27185600. Let c = t + 5443. Find the common denominator of 13/55 and c.
440
Let t(k) = -k**2 + 26*k - 76. Let g be 19/152 + (-159)/(-8). Calculate the least common multiple of 66 and t(g).
132
Let f = 226/21 - 154397/14532. What is the common denominator of 25/44 and f?
7612
Suppose j + 338 = -3*i, -5*i - 443 = -j + 107. Let c = 35 - 13. Calculate the lowest common multiple of ((-44)/12 + 3)*i and c.
814
Let k(z) = z**2 + 2*z - 2. Let u be k(-4). Suppose -904 = -u*m - 340. Calculate the lowest common multiple of 10 and m.
470
Let y = -4180933/10 - -417738. Let a = y - -357. Find the common denominator of ((-596)/(-99) - 5)/((-4)/3) and a.
660
Let r = -2/12807 - -601969/256140. Find the common denominator of r and 59/3800.
3800
Let t = -162 + 42. What is the common denominator of 95/t - (-12)/(-90) and 125/24?
120
Let k = 42 + -46. Let w be (3 - (-21)/(-12))*k*-13. Let t = -55 + w. Calculate the smallest common multiple of 8 and t.
40
Suppose -2*u - 4*c + 568 = 0, -4*c + 14 = 2. Let i = -32 - u. Calculate the common denominator of -64/21 and i/60 - (-2)/1.
42
Suppose -2*n - 3*n + 23 = g, 20 = 4*g + 2*n. Let f(h) = 51*h**2 + 310*h + 45. What is the smallest common multiple of g and f(-6)?
21
Suppose 48 + 112 = 8*o + 64. Calculate the least common multiple of 1052 and o.
3156
Let z be (-47786)/(-30) - (7/(-3))/7. Let c = z + -79731/50. What is the common denominator of c and (10/100)/(2/(-101))?
100
Suppose 200 = 2*f - r, -3*r - 110 = -0*f - f. Suppose -4*l = -f + 2. What is the least common multiple of l*2*2/(-24)*-9 and 2?
36
Suppose -15*z + 263 - 193 = -455. What is the smallest common multiple of 30 and z?
210
Let h be (1 - (-1793188)/634708)*8/16. Let s be (-6896)/(-6899) + 3 + -4. Let i = h - s. Find the common denominator of -19/11 and i.
253
Let m = 17 + -81. Let y be (-69)/(-8)*m/(-432). Let i = 481/180 + y. Calculate the common denominator of 25/12 and i.
60
Let y = 7819933 + -5419214876/693. Let w = y - -34/77. Find the common denominator of -11/28 and w.
252
Suppose -10*b + 9*b = 10. Let l be 5/(b/6) - -7. Let z(h) = h**2 + h. Calculate the least common multiple of z(l) and 2.
20
Suppose 44*t + 38*t + 88*t - 13430 = 0. Calculate the least common multiple of 790 and t.
790
Suppose -4*t + 2*n + 3 = 3*n, 4*t - 13 = n. Suppose 0*v - 6 = -t*v. Let x(b) = 2*b**2 + 5*b. Calculate the lowest common multiple of v and x(3).
33
Let b(t) = -145*t + 9222. What is the least common multiple of b(42) and 2088?
6264
Let j(f) = 94*f + 11. Let u be j(-3). Let i = u + 279. What is the least common multiple of 19 and i?
152
Let l = -159163 + 37721696/237. What is the common denominator of l and -62/33?
2607
Let c = 140 - 138. What is the lowest common multiple of 56 and (-80)/(-36) + c + 40/(-18)?
56
Let b = -30 + 30. Suppose x + 4*w + 3 = 0, -2*x - 6 = -b*w + 3*w. What is the smallest common multiple of -1 - (1 - (3 - x)) and 16?
16
Let x(s) = -s**2 + s + 12. Let c be x(5). Let v(g) = -g**3 - 12*g**2 - 2*g. Let p be v(c). What is the lowest common multiple of ((-24)/(-30))/((-2)/p) and 8?
96
Let k(a) = -31*a - 63. Let r be k(10). Let d = 4403/12 + r. Calculate the common denominator of 101/186 and d.
372
Let o(a) = a**3 + 7*a**2 - 10*a + 6. Let z be o(-8). Calculate the least common multiple of 8 and 24/(-14)*(-77)/z.
24
Let i = -10933/418 - -288/11. What is the common denominator of i and 83/88?
1672
Let g = -3088/195 + 72721/4680. Find the common denominator of -61/55 and g.
3960
Let s = 54 + 10. Calculate the smallest common multiple of 12/(-21) - 102/(-595)*120 and s.
320
Let v(g) = -g**2 - g + 7. Suppose 0 = r - 4*d - 17, 4*d + 7 = r + 2*d. Let x be v(r). What is the lowest common multiple of (-15)/6*-6*x and 27?
135
Let n = -108 + 5. Let w = n + 107. Calculate the lowest common multiple of (-328)/(-11) - 8/(-44) and w.
60
Let q = -588/79 + 262168/35945. Find the common denominator of q and 22/105.
1365
What is the common denominator of -37/680 and 5*4/10*(-559)/(-312)?
2040
Let k = 312 + -148. Let f(b) = b**2 - 250*b + 3308. What is the smallest common multiple of f(14) and k?
164
Suppose -69*r + 360 = -9*r. Suppose -4*i + i = x - 58, -4*x + 42 = 2*i. Calculate the least common multiple of (-665)/(-209) - r/33 and i.
57
Suppose -146 = -3*x - r + 211, -x + 5*r = -135. What is the smallest common multiple of 160 and x?
480
Calculate the lowest common multiple of (-35720)/16*(-28)/35 and 3.
5358
Let h = 1748/12731 + 29528911/16091984. Let j = h - 11/316. Find the common denominator of j and -53/46.
368
Let f = -14811 + 207461/14. Find the common denominator of 31/7 and f.
14
Let k(d) = 3*d - 4 - 6 + d. What is the smallest common multiple of k(7) and 14/((-392)/532) - -52?
198
Let h be 4 + 5/(-1) + -3. What is the common denominator of -21/59 and (h/(40/65))/(1/(-3))?
118
Let q(x) = 2*x**2 + 68*x + 23. Let s be q(-34). Calculate the smallest common multiple of 390 and 184/s*1*2.
3120
Calculate the lowest common multiple of 5635/140 - 5/40*2 and 355.
2840
Suppose -2*c - 5*x = -211, 0 = c + c + x - 191. Suppose 95*s = c*s + 10. What is the least common multiple of 37 and s?
185
Let j = 1060365/104 - 10195. Find the common denominator of ((-704)/171 - (-150)/(-1425))*21/4 and j.
312
Suppose 0 = 5*a - 0 + 50. Find the common denominator of (80/28)/((-4)/a) and ((-232)/64)/((-7)/42).
28
Suppose 4*p = -3*m + 167, 3*p - 3*m + 111 = 273. What is the least common multiple of p and 29?
1363
Let m = 16078 + -14142. What is the smallest common multiple of 44 and m?
1936
Suppose -2*g = -6, -5*x + g = 6*g + 1440. Let a = 291 + x. Calculate the common denominator of a and -5/218.
218
Let i = 33414 - 267339/8. Calculate the common denominator of 6/(-608)*(-164)/6 and i.
152
Let o = -1443 + 9325. Let j be 13050324/1656 + -1 + 1. Let q = o - j. Find the common denominator of 89/22 and q.
506
Calculate the common denominator of -3*((-2852)/(-8))/23 and -45/658.
658
Let j(l) = 17*l**2 - 456*l + 7. Calculate the least common multiple of j(29) and 280.
7560
Let d(a) be the third derivative of 41*a**4/24 + 5*a**3/3 + 27*a**2. Let g be d(3). Find the common denominator of -59/18 and 2/((-8)/(-12)) + g/6.
18
Let n be (1/5*-14303)/((-66132)/90). Let o be (-693)/(-334) + 3/(-2). Let f = o - n. Calculate the common denominator of f and 13/12.
132
Let v = -571 - -606. Let j(m) = 10*m. Let o be j(3). Let l = v - o. Calculate the least common multiple of 