and p?
1484
Suppose 0 = -5*v + 308 - 108. Let r(s) = 377*s - 1820. Calculate the least common multiple of v and r(5).
520
Let u = 509 + -488. What is the smallest common multiple of u and 7*11*3*(-4)/(-12)?
231
Let g = -28279375/214 - -132147. What is the common denominator of ((-9)/20)/((-1)/14) and g?
1070
Suppose -4*n = 5*i - 71, 3*i + 2 = n + 48. What is the smallest common multiple of i and 95?
285
Suppose 32355 - 248425 = 5*k. Let j = -2160629/50 - k. Find the common denominator of 1 + (2 - 246/28) and j.
350
Let d(c) = -c**3 - 30*c**2 - 109*c + 13. Calculate the smallest common multiple of d(-4) and 297.
297
Let c(k) = -3*k + 6. Calculate the lowest common multiple of c(-8) and 8*((-580)/(-80) - (-2 + 7)).
90
Calculate the common denominator of 1/1548 and 92/32*(-10)/215*(-25)/30.
3096
Let m(r) = 3*r**2 + 50*r - 8. Let w(x) = x**3 + 8*x**2 - 14*x - 62. Let k be w(-9). What is the lowest common multiple of 2 and m(k)?
18
Let x(y) = -y**2 - y + 60. Let a be x(11). Find the common denominator of ((-17)/6)/((-9)/a) and 179/(-63) - 4/(-14).
9
Find the common denominator of 7/(-26)*(-94)/752 and -53/520.
1040
Let b be 8/(-84) - (-2010)/(-63). Find the common denominator of 223/(-182) - b/208 and 71/22.
154
Let c = 3862 + -3666. Let t be (-17572)/(-90) - 1/(-5). Let z = c - t. Find the common denominator of z and -97/42.
126
Let g be 12/10*(-5)/2. Calculate the common denominator of ((-45)/200*-18)/1 and 302/9*g/12.
180
Let g be (19 - 20)/((-1)/(-17)). Let z = -12 - g. Suppose -z*d = u - 28, -2*u + 3*d = d - 8. What is the least common multiple of 4 and u?
8
What is the least common multiple of -2 + (-16)/(-9) - 153450/(-162) and 9?
8523
Let d(t) = -2*t - 114 - 2*t + 118 - 159. What is the lowest common multiple of 41 and d(-41)?
369
Let j = -95129071/12 + 7920810. Let q be ((-18)/(-15))/(6/33100). Let g = j + q. What is the common denominator of -113/20 and g?
60
Let b(r) = 3*r - 20. Let q be b(6). What is the common denominator of (-58 + -3)*(-1)/q and (-4)/14 + (-560)/(-588)?
6
Let y(l) = -9*l**2 + 125*l - 48. What is the lowest common multiple of y(13) and 266?
1064
What is the common denominator of ((-1265)/92)/(774/2) and -37/1204?
10836
Suppose -4*o = 2*c - 3*c - 223, 2*c - 104 = -2*o. Let l be (50/o)/5 + (-27386)/(-22). What is the common denominator of l/200 - ((-8)/10)/2 and 93/22?
88
Let i(j) = 43*j**2 + 23*j + 48. What is the least common multiple of i(-2) and 116?
348
Let w = 99 + -86. Let l = -20 + 53. Suppose -27 = z - l. Calculate the lowest common multiple of z and w.
78
Let m = -1688161/3703140 - 7/14695. Calculate the common denominator of 97/1008 and m.
1008
Let z be (4/((-8)/(-7)))/(1815/(-51149626)). Let q = z - -98636. What is the common denominator of q and -22/45?
495
Let t = 48 + 997. Let w = -16725/16 + t. Find the common denominator of -89/136 and w.
272
Let p = 275522723901 + -31535228887122889/114456. Let m = p - -2/4769. Calculate the common denominator of 117/28 and m.
168
Let k = 2/8975 + -134677/233350. Calculate the common denominator of k and 4/14 - 898/56.
52
Let k(q) = -q**2 - 22*q - 17. Let z be k(-21). What is the common denominator of (-4)/(-10) + 301/(-90) and z/(-2) - (-707)/140?
180
Let d be 42/214*(-140)/14 + 2. Let i = d + 483/1391. Find the common denominator of (2/50)/(4/1130) and i.
130
Let v = 6738849/322 + -20928. Find the common denominator of ((-504)/(-147))/8 - 825/(-378) and v.
2898
Let r(t) = 0*t - 20 + 0 + 4*t**2 - 31*t + 11*t. Calculate the least common multiple of 40 and r(-1).
40
Let g = 260487/304358 - 5/4909. Calculate the common denominator of 28 and g.
62
Suppose -151*s + 401*s - 2950 - 13050 = 0. Let j = -34 + 90. Calculate the least common multiple of s and j.
448
Let r be -7 + (-74)/(-10) - 31329/(-20). Let v = r - 1566. Calculate the common denominator of v and 9/10.
20
Suppose 0 = -6*h + 88 + 44. Calculate the common denominator of -101/14 and ((-6)/h)/(4/12).
154
Suppose -447 = 5*p - 22. Let b = 75 + p. What is the lowest common multiple of ((-72)/54)/(-2 - b/6) and 22?
44
Suppose -2*t - 3*b + 21 = 3*t, 2*t + 2*b = 10. Suppose -33 = -t*x + 3*a, -3*x + 6*a = 9*a - 39. Calculate the lowest common multiple of x and 8.
24
Let q = 150463/85278 - 385/233. Calculate the common denominator of q and -123/1220.
3660
Let q = 18212879/345 - 52791. Find the common denominator of q and 50/207.
1035
Let d be -8 - (-2)/8*(-44)/11. Let n = -1171 - -10586/9. Calculate the common denominator of -45 - -37 - 88/d and n.
9
Let b = 2 - 1. Find the common denominator of (21 - 3073/147)*(-265)/240*-28 and -107*-1*b/28.
252
Let y(s) = 6*s**2 + 35*s - 283. Calculate the least common multiple of 980 and y(5).
2940
Suppose 15 - 3 = 3*x. Calculate the least common multiple of 8 and 65 - -3 - ((x - 1) + -7).
72
Let p(o) = 3*o + 3*o - 5*o + 2 + 1. Let c = 42 + -35. Calculate the smallest common multiple of c and p(7).
70
Suppose 4*n - 2*b - 330 = -128, -3*b = 4*n - 197. Let l = -1802 + 1832. Calculate the smallest common multiple of l and n.
150
Let c(m) = 9*m**2 - 25*m - 4. Let q be c(3). Suppose -20 = -x - 0*x - 4*v, 3*x - 60 = -q*v. Calculate the lowest common multiple of x and 2.
20
Let a = 4373 + -65641/15. What is the common denominator of -71/4542 and a?
22710
Suppose 0*k - 2*k + 20 = 0. Suppose 0 = p - 0 - 14. What is the least common multiple of k and (-4)/4*p/(-2)?
70
Let v = 6425 + -6359. What is the lowest common multiple of v and 276?
3036
Let o = -73 + 76. Let v be o/((8/12)/(-2)). Find the common denominator of 46/4*-1*(-1)/v and 39/16.
144
Let g = -16752 + 536125/32. Calculate the common denominator of g and (213/(-324))/((-4)/(-6)).
288
Suppose -h + 12 + 30 = 0. Let v = h - 20. Suppose 0 = -3*o + 4*g - 2*g + 76, -2*g - 128 = -5*o. What is the lowest common multiple of v and o?
286
Calculate the common denominator of 29/45 and (-1546)/2376 + 944/2596.
540
Let n(j) = -71*j**2 + 21*j + 43. Let f be n(30). Let o = f + 7650414/121. Find the common denominator of 129/110 and o.
1210
Let w = -2/1541 + 90931/9246. Let s be (8/12)/(4/12). Find the common denominator of w and s*(-2)/10 + (-171)/(-150).
150
Let o = 5/792 + -1933/396. Suppose 0 = -3*k - r - 6699 - 31384, 3*k + 5*r + 38063 = 0. Let t = -279373/22 - k. Find the common denominator of t and o.
88
Suppose 5*h - 3*j + 15 = 0, -h + 2*j = 3*j + 11. Calculate the common denominator of -44/3 and (h/8 - -1)*(-848)/(-12).
3
What is the common denominator of 12 + -12 + 2 - 1744/906 and -44/9?
1359
Let d(z) = -4*z**2 + 89*z + 5*z**2 + 80 - 107*z. Let x(c) = -2*c**3 + c**2 + 3*c + 1. Calculate the smallest common multiple of d(11) and x(-2).
15
Let u = 9487 + -664067/70. What is the common denominator of u and 176/40*27/60?
350
Suppose 10*o - 16*o = -162. Find the common denominator of -69/35 and -12*o/240 + -1*1.
140
Suppose 0 = -3*i - 3*m - 96, 9 + 6 = 3*m. Let q = i - -55. What is the common denominator of -19 and (26/q - 2) + -4?
9
Suppose 19*p + 506 - 632 = p. What is the lowest common multiple of p and 1701?
1701
Let a = -34 - -166. Suppose -a = 92*v - 96*v. What is the lowest common multiple of v and 15?
165
Let o(j) = -j**3 - 19*j**2 + 16*j - 80. Let l be o(-20). Let m = -2522 + 25263/10. Find the common denominator of m and (-5)/(-70)*-97 - l.
70
Let a be 16/4 + -1 - 25202/20. Let b = -1254 - a. Find the common denominator of b and 288/(-18) + (1 - (-10)/(-6)).
30
Calculate the common denominator of (8 + 5646/(-708))*(-15)/(-9) and 1/6 - 128/3.
118
Suppose d - 1 = -0*d, y = 4*d - 3. Calculate the smallest common multiple of y*(-1 + -4) - (-68 - 0) and 49.
441
Let x(i) = i**2 + 14*i + 71. Let o be x(-8). Let r be o/4*1*4. Suppose -2*y + r + 41 = 0. What is the lowest common multiple of 16 and y?
32
Suppose 309*g - 120 = 303*g. What is the least common multiple of (-3 - 62/(-22)) + (-112)/(-11) and g?
20
What is the common denominator of ((-508)/(-14))/(137 + 30 + -7) and 77/1440?
10080
Let i be 8/28 - 4/(-70)*-5. Suppose f - 13 = -5*z, 4*z - 3*f - 18 = -i*f. Suppose -5*w + 12 = -w. What is the smallest common multiple of w and z?
3
Let f(p) = p**3 + 25*p**2 + 81*p - 60. Calculate the smallest common multiple of 1044 and f(-21).
1044
Let b(m) = -96*m - 5. Let h be b(-2). Let u be ((-4)/308)/(h/(-119334)*1). Let l = 4/2057 - u. What is th