80. Let u = i - t. Find the common denominator of u and 25/16.
80
Let d(k) = -k**2 + 16. Let z be 108 + (-45)/(-18)*2/5. Suppose 3*j = -4*y + 121, y + 113*j - 40 = z*j. What is the least common multiple of y and d(0)?
112
Suppose -3*o + 2*j = -33, -5*o - 22 = 4*j - 55. Calculate the smallest common multiple of 5232 and o.
15696
Calculate the common denominator of 0 + 4*63401/(-85644) - -3 and -37/135.
8235
Let y(n) = -439*n + 16. Let f be y(-2). Suppose 10*p = f + 46. What is the least common multiple of 20 and p?
940
Suppose -57*b = -2*b - 16170. Calculate the lowest common multiple of 210 and b.
1470
Let p = 424 + -414. What is the common denominator of (-21)/2*3/112 and (-9757)/1584 - p/(-45)?
32
Let y(i) = -49*i**2 + 14*i - 21. Let u be y(20). Let c be (-1904)/u + 4/(-18)*1. Let v = c - 16622/4605. Calculate the common denominator of -13/6 and v.
30
Let g(i) be the second derivative of 7*i**3/3 + i**2 + 13*i. Let v = 1 + 0. What is the lowest common multiple of 132 and g(v)?
528
Suppose -10*q = -7*q - 30. Suppose 7*w - q = 2*w. Calculate the common denominator of -81/20 and (w/36)/((-48)/(-1896)).
180
Suppose -3*q - 5*d - 2671 = 0, -28*q + 27*q - 879 = -4*d. Let n = q - -908. What is the smallest common multiple of 456 and n?
3192
Let u be (4 + 5)/(-27) - (-135295)/48. Suppose 0 = -3*k + 7252 + 1190. Let p = k - u. Find the common denominator of p and -107/18.
144
Let d(h) = 6*h - 44. Suppose i - 17 = -5*y + 3*y, i + 5*y - 5 = 0. Let b = 14 + -6. Calculate the lowest common multiple of d(i) and b.
424
Let a be 6/30 + (-218)/1990. Let d be (-2 - -4) + 1/(5373/(-15212)). Let g = d + a. Calculate the common denominator of -41/9 and g.
27
Let x = 1677/5 - 82288/245. Calculate the common denominator of (297/(-945))/((-1)/(-4)) and x.
245
Let j(f) = 10*f**2 + 7*f + 4. Let n be j(-1). Let i(o) = 3*o**2 - 6*o + 5. Calculate the least common multiple of i(n) and 20.
220
Suppose -g = -3 + 35. Let c = g + 37. Let q(f) = -f**3 + 7*f**2 - 8*f. Calculate the lowest common multiple of 3 and q(c).
30
Let z(s) = s**2 - 51*s + 426. Calculate the least common multiple of z(41) and 3374.
26992
Suppose -6*v + 9*v - 6 = 0. Suppose 2*t - 10 - v = 0. Let j = 19 + -7. Calculate the least common multiple of t and j.
12
Let j(r) = r - 30. Let a be j(9). Calculate the common denominator of -1 - ((-47)/6)/((-27)/(-9)) and (-6)/a + (-19)/21.
126
Let o(q) = -q**3 - q**2 + 2*q - 7. Let w be o(-3). Suppose w*t - 11*t = -210. Suppose t = 3*m + 17. Calculate the smallest common multiple of m and 4.
12
What is the common denominator of (-3)/(-15) + (7672/(-105))/(-8) + 7 and -31/4075?
12225
Let a be (-30)/5*(-10)/12. Suppose a*b - 66 = 3*g, -5*g = 2*b - 7 - 38. Calculate the smallest common multiple of 21 and b.
105
Let v = 3/8566 + -484021/119924. Calculate the common denominator of v and -85/1596.
1596
Let p be (24/20)/((-4)/(-130)). Suppose s + 35 = p. Suppose -i = q, q - 11 - 4 = s*i. What is the lowest common multiple of 38 and q?
114
Let l be ((-10)/7)/(10/(-35)). Let j = -43381/23128 - -2/2891. Calculate the common denominator of (l/(-8))/(7/42) and j.
8
Suppose 0 = 265*h - 259*h - 486. Find the common denominator of -35/144 and h/72 - (-10)/(-2).
144
Suppose -4*r = -3*l + 35, -8*r + 3*l = -10*r - 13. Find the common denominator of -1 + ((-51)/28)/1 and (756/(-16) + -3)/((-36)/r).
84
Let v(g) = 3*g**2 - 8*g - 6. Let x(m) = 10*m**2 - 25*m - 18. Let i(k) = 7*v(k) - 2*x(k). What is the smallest common multiple of (-2009)/(-164) - 2/8 and i(8)?
60
What is the common denominator of 89/26 and 1 - 7587/1077 - 150/(-25)?
9334
Let y(v) = 6*v**3 - 6*v**2 - 8*v + 5. Let m be y(-3). Let w = m + 191. What is the lowest common multiple of w and 20?
20
Let r = 107249467/426 - 251759. What is the common denominator of r and 11/355?
2130
Calculate the common denominator of -76/27 and (4/(-16))/((-15594)/1068 - 5).
62802
Let n(l) = l**2 - 5*l - 3. Let y be ((-1)/3)/((-17)/102). Suppose -54 = -y*c - 0*c - 4*g, 3*c - 76 = -5*g. What is the least common multiple of n(6) and c?
51
Let h be (190/3)/((-2)/(-12)). Suppose -h = -0*s - 2*s + t, 3*s - 3*t = 576. Let w = -116258 + 116272. What is the least common multiple of w and s?
1316
Let r be ((-3)/9)/((-9)/(-351)). Calculate the smallest common multiple of 12 and (-14 - r)*150/(-1).
300
Let u(j) = j**2 - j - 8. Let a be u(-4). Suppose -a*i + 159 + 261 = 0. Calculate the lowest common multiple of i and 1.
35
Let f(d) = -7335*d + 18. Let v be f(1). Let s = 131791/18 + v. Let x = -666 - -2591/4. What is the common denominator of x and s?
36
Let q(w) = -3*w**3 - w**2 + 6*w - 1. Let y be q(5). What is the common denominator of y/(-1932) - (27/12 + -3) and -89/15?
345
Suppose -2*l + a + 2309 + 1458 = 0, -2*a + 15038 = 8*l. Calculate the lowest common multiple of 242 and l.
41382
Let s = -43667/600 - -1758/25. Calculate the common denominator of s and 69/220.
1320
Let a(i) = 153*i - 516. Calculate the lowest common multiple of a(4) and 288.
288
Calculate the common denominator of -1 - (2002/12)/11 and 3*12/(-8)*75/45.
6
Let c be 7/(-14) - (-13)/2. Suppose 18 + c = 12*l. What is the smallest common multiple of l and 1/(-3) - 37/(-3)?
12
Suppose -w = -5*w - 8. Let l be w/(-7) - (0 - 10/14). Calculate the smallest common multiple of 6 and (-392)/(-35) - (l + 4/(-5)).
66
Let g(h) = -h**2 - 21*h + 60. Let c be g(9). Let u = 525 + c. Calculate the lowest common multiple of 2 and u.
630
Suppose -4*f + 1788 = 3*w, 2*w - 1688 + 496 = 4*f. Calculate the lowest common multiple of 1341 and w.
5364
Calculate the least common multiple of 3793 - -6*(-3)/(-6)*(-12)/9 and 9.
3789
Let n = -8153/6 - -1378. Let a = 1674/3175 - 101591167/25400. Let p = -3993 - a. Find the common denominator of p and n.
24
Let l = 8/79 + 2953/1264. Find the common denominator of -45/584 and l.
1168
Let i = 551 - 5386. Let q = i - -29075/6. What is the common denominator of q and 99/4?
12
Let w = -121369/210 - -4079/7. Calculate the common denominator of 49/15 and w.
30
Let a = -524 - -554. Suppose -97*g + 98*g = -4*i + 10, -3*i + a = 2*g. Suppose l - 3 = -1. What is the lowest common multiple of l and g?
18
Let q(d) = -17*d**3 - 4*d**2 - 2*d + 2. Let n be q(-4). Let s = -64115/62 + n. Calculate the common denominator of s and (6/(-10))/(6/(-36))*(-44)/(-32).
620
Calculate the smallest common multiple of (7 - -12681)/16*2 and 2.
1586
Calculate the common denominator of (8/2 - (-3395)/(-756))/((-52)/39) and 149/18.
144
Find the common denominator of -41/594 and (-1019)/2772 - (-2)/((0 + 112)/8).
1188
Let h = -237725/6 - -39618. Find the common denominator of h and 139/18018.
18018
Let u = 21003 + -714039/34. Calculate the common denominator of u and 12/(-192)*4/2.
136
Let o be (-27 + 31)*(521 - 0). Let u be (o/(-18) - 2)*6 - 3. Let l = -1441/2 - u. Calculate the common denominator of -83/21 and l.
42
Let k(s) = -1482*s - 5655. What is the lowest common multiple of k(-5) and 143?
19305
What is the common denominator of -107/390 and 1 + -13 + (-4)/3320*-10041?
32370
What is the common denominator of ((-2)/140)/((-4)/285) and (-6)/(-21) + (-1353)/1232?
112
Let a = 110 + -64. Suppose -3*o - 4*j = -a, -7 + 1 = 3*j. What is the lowest common multiple of 22 and o?
198
Suppose 4*m = s - 3, -4*s + 9 + 3 = m. Suppose 0 = -2*d - d + s. Find the common denominator of (-109)/12 - 3/d and -43/12.
12
Let l(a) = -8*a**2 - 58*a - 121. Let i(x) = 6*x**2 + 60*x + 123. Let y(d) = 3*i(d) + 2*l(d). Let q = 8 + 2. What is the lowest common multiple of q and y(-30)?
70
Suppose 15*a - 1504 = 17*a. Let h be a/(-14) + 17/17. Let w = h - 51. What is the common denominator of w and 89/4?
28
Let w = -2078 - -2270. Calculate the smallest common multiple of 528 and w.
2112
Suppose 4*t - 1301 = -j, j - 2440 = -5*t - 815. Calculate the smallest common multiple of t and 486.
972
Calculate the least common multiple of (64/144)/(18/243) and 186.
186
Let c = 156 + -94. Let f = c - 52. Suppose 4*y = -3*o + 30, -5*o = 3*y - 4*y + 19. Calculate the smallest common multiple of y and f.
90
Let s = 712 - 1367. Let w = s - -136. Find the common denominator of 127/18 and w/(-60) + -6 + 2.
180
Let r = -24 + 60. Suppose -2*z + 5*g + 319 + r = 0, 3 = 3*g. What is the least common multiple of 10 and (-1 - -5)/(-2 + z/88)?
440
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