 13*d**2 - 40*d + 205. Let m be f(5). Calculate the common denominator of (-27)/18 + 324/m and 111/130.
1430
Let r(t) = t**3 - 4*t**2 - 3*t - 3. Let s = 389 + -364. Suppose -s - 3 = -7*k. Calculate the lowest common multiple of k and r(5).
28
Let l = -22 - -36. Let s be ((-2 - 0) + (-18)/(-12))*-484. Let z = -202 + s. Calculate the lowest common multiple of z and l.
280
What is the lowest common multiple of (-14)/35 + 13237/155 and 510?
510
Suppose -33 = 20*r - 393. Calculate the least common multiple of 360 and r.
360
Let h = -5146 + 10291/2. What is the common denominator of h and 87/62?
62
Let l be (8547/55 + -15)/((-4)/(-10)). Let c be 3/(-6) - (-77)/(-2). Find the common denominator of -17/5 and 1194/l - 6/c.
45
Let y = 6 + -10. Let w(a) = a**3 + 5*a**2 + 3*a. Let x be w(y). Find the common denominator of (5/2*-2*-5)/x and -25/4.
4
Let h = -42 - -46. Calculate the common denominator of 23/12 + 2/h and 585/(-63)*14/(-4).
12
Suppose -3164 = -18*f - 1868. Calculate the least common multiple of f and 708.
4248
Suppose -b - 3*o + 197 = 0, 0 = -b + o - 2*o + 193. Suppose -12 - b = -7*p. Calculate the common denominator of 77/34 and p.
34
Let w = 2788/3 - 44467/48. Find the common denominator of w and 222/(-20) - 2/2.
80
Let l = 346196/34833 + 5/2049. Let c = -2489/170 + l. What is the common denominator of c and 8/73?
730
Let f = 115 - 104. Suppose 15*w - f*w = 240. Calculate the least common multiple of w and 30.
60
Suppose 103*r - 579 = 100*r. Let b = -38 + r. What is the lowest common multiple of 65 and b?
2015
Suppose 0 = -2*k - w + 1697, 3*w - 618 = 4*k - 4007. What is the smallest common multiple of k and 32?
1696
Let s = -7717/5985 + -1/11970. What is the common denominator of -77/159 and s?
6042
Let l(g) = 2*g + 1. Let h be (-2)/(-3) - (-16)/(-24). Suppose h = 11*b - 113 + 36. Calculate the lowest common multiple of b and l(3).
7
Let t = 332324582/1085 + -306290. Find the common denominator of 13/868 and t.
4340
Suppose 13*x + 17*x = 720. Suppose 1 = -z + 9. Suppose z*a - 135 = 3*a. What is the least common multiple of a and x?
216
Let b = -25441 - -1221247/48. Calculate the common denominator of b and -103/2560.
7680
Let w = 166417/20 + -8323. Calculate the common denominator of -51/982 and w.
9820
Let w = -810 - -2458/3. What is the common denominator of w and -31/357?
357
Let f(m) = 169*m + 3917. What is the smallest common multiple of 222 and f(-23)?
1110
Suppose 3*n = -4*l + 357, -241*l + 5*n = -238*l - 275. Calculate the smallest common multiple of 60 and l.
180
Let d be -11 + 5 - -7 - (0 + -2). Find the common denominator of -101/6 and -2 - 572/(-168) - d.
42
Let q = 9320 - 279571/30. Find the common denominator of q and -39/44.
660
Let i(x) = x**2 - 11*x - 430. Calculate the smallest common multiple of 176 and i(-16).
176
Suppose 12 = 2*s - 0*s. Suppose p - 6*p = 15, -a - 3*p = -7. What is the smallest common multiple of (a/(-28))/((-3)/42) and s?
24
Let z be 9/2970*-3870088 - 4/10. Let w = 11726 + z. Find the common denominator of w and (76/12)/((-2)/(-8)).
33
Let x be (10 - 2) + (9 - 11). Suppose -5*y - 26 = -4*l, -2*l + 4*y + 4 = x*y. Let a(h) = -26*h - 12. What is the least common multiple of a(-5) and l?
236
Let a(t) = t**3 + 23*t**2 + 17*t + 1890. Calculate the lowest common multiple of 36 and a(-25).
7740
Let h(p) = 2*p - 326. Let s(l) = 109. Let v(q) = -3*h(q) - 8*s(q). What is the smallest common multiple of 23 and v(16)?
230
Suppose -21*v = -19*v + 284. Let d = -120 - v. Calculate the lowest common multiple of d and 104.
1144
Suppose 27*j + 1763 = 28*j. Let p = 306 - j. Let w = p + 3015/2. Calculate the common denominator of -89/4 and w.
4
Let t(a) = a**2 + 27*a - 614. What is the lowest common multiple of t(22) and 116?
464
Let m = -45963/70 + 658. Find the common denominator of (-174)/4*12/693 and m.
770
Suppose -31 = -5*w - 1. Suppose -2*x = -w*x - 12. What is the common denominator of (-33 - (-5 + 3))/((-18)/x) and 1/9?
18
What is the common denominator of (8/(-1410)*(-6804)/168)/(8/30) and 89/12?
564
Suppose -27*y + 378 = -21*y. Find the common denominator of y/27 - (-2)/5*-1 and (-2)/(-8)*(-1 - -16).
60
Let n = 14430054/557659 - 2690546306161/160547237805. Let b = 2/16935 + n. Let f = 97/102 - b. What is the common denominator of f and 39/8?
24
Suppose -5*c = -1 - 14, 5*v + 105 = -5*c. Let s be ((-24)/(-4))/(-2 - 45/v). Calculate the smallest common multiple of 12/s + 58/8 and 7.
7
Suppose 146*z = 143*z + d + 190, -3*z + 3*d = -186. What is the lowest common multiple of 79 + (-9)/3 + 3 - -1 and z?
320
Let l be 85796/(-112) + (4 - (-26)/(-7)). Let o = 193015/252 + l. What is the common denominator of 25/21 and o?
126
Let k = -71 + 107. Let j be 221/2 + k/24. Suppose -3*r + 5*t + 49 = 0, -38 + j = 4*r + 2*t. What is the least common multiple of 6 and r?
18
Calculate the common denominator of 79/196 and 249/15*((-302355)/12096 + 25).
9408
Suppose 0 = -3*z + 5*v - 21, 2*z + 3*v = 3*z + 3. What is the common denominator of 42/6 + z - 54/(-7) and 4/5?
35
Let c(t) = t + 81. Let a be c(-20). Suppose -3*g = -p - a, g - 130 = -4*g - 4*p. Calculate the smallest common multiple of g and 22.
22
Suppose -5*s + 2*c + 334 = -127, 5*s = -4*c + 443. Let t = s + -157. Calculate the common denominator of 10/21 and 205/(-20)*(-16)/t.
231
Let b(m) = 804*m**2 - 4*m + 22. Let v be b(-4). Let g = 1612761/125 - v. Find the common denominator of 63/10 and g.
250
Suppose 5*z = 6*z, 5*u + 5*z + 1265 = 0. Let m = -1880/11 - -116791/682. Find the common denominator of 5/15 + u/(-42) and m.
434
Calculate the common denominator of -2 - (8 + 2270614/(-226917)) and 31/5.
59715
Let u = 7281 + -7087. Calculate the lowest common multiple of u and 97.
194
Let w = 212 + -122. Let v(f) = 2*f**2 - 10*f - 30. What is the smallest common multiple of v(8) and w/12*18/15?
18
Let u = 2/90667 - -6255943/3626680. Let k = -8829 + 4917748/557. Let s = 22737/11140 - k. What is the common denominator of s and u?
40
Let x = -3 + 6. Suppose x*q - 7 = -m + 11, q + 5*m = 20. Calculate the least common multiple of 24/(-108)*-9 - 8/(-1) and q.
10
Suppose 90 = 11*i - 9. Let m = -29 - -45. Calculate the smallest common multiple of i and 10 + (-9)/((-36)/m).
126
Calculate the common denominator of 2102/1040 - (-79)/((-73944)/(-144)) and (2/(-4))/((-18)/(-131)).
360
Let s = 67010369/370 + -181109. Calculate the common denominator of 101/232 and s.
42920
Let j(q) = q**3 - 19*q**2 + q - 22. Let d be j(19). Calculate the smallest common multiple of 80 and 43 - (3/6)/(d/6).
880
Calculate the common denominator of ((-133)/171)/7 + 537/(-2052) and -31/228.
228
Calculate the common denominator of -37/30 and (-1)/(-10) + (-900)/2200.
330
Let d = -2312187/76 + 30424. Let j = -373/2472 - 66/103. What is the common denominator of j and d?
456
Suppose 178 = 6*x - 38. Suppose 459*j + x = 460*j. What is the least common multiple of 8 and j?
72
Let k = 2915 - 2885. What is the least common multiple of 33 and k?
330
Let o be (165479/(-198))/((-107557)/(-1629867)). Let m = -170/322671 - o. Let t = 12661 - m. Calculate the common denominator of 99/14 and t.
154
Let f = 458 + -115. What is the lowest common multiple of f/35 + 3/15 and 38?
190
Let v be 12*((-9)/(-18) - 5). Suppose -280 = 4*j + 4*u, 0*j - 3*j - 2*u - 212 = 0. Calculate the common denominator of -101/30 and 82/48 + v/j.
120
Let s = -26 + 38. Let b(l) = l - 3*l + l + 24. What is the smallest common multiple of 30 and b(s)?
60
Let t = 27791/7 - 3978. Let u be ((-84)/(-56))/((-6)/16). Find the common denominator of t and (-72)/14*(u - (-30)/8).
7
Let o(p) = -132*p**3 - 13*p**2 - 30*p - 17. What is the smallest common multiple of 1260 and o(-1)?
13860
Suppose 22*v - 7 = 15*v. Let x = -1487/3 + 501. Find the common denominator of x and (-7)/154*(-53 - v).
33
Let s be (-2900)/(-20) - (3*-2 - -1). Calculate the common denominator of (-4 - s/138) + 5 and (-2)/(-2) - 70/16.
184
Let w be -1 + 5614/(-17760)*-1. Let f = w + -2/555. Find the common denominator of -123*(2 - (-1210)/(-600)) and f.
80
Let y be (-42)/(-2)*(-6)/(-18). Suppose 2*x = 2*z - y*z + 87, -5*x = 5*z - 180. What is the common denominator of -29/12 and x?
12
Let i = 108 + -135. Find the common denominator of i/(-5) + (0 + -1)*1 and 394/24 + (-1)/(-4).
15
Suppose -2*t -