Let a be 16 - (3 + 3 + -8). Suppose 14*t + a = s*t. What is the least common multiple of 45 and t?
90
What is the common denominator of (-131)/3*18/30*190/(-2052) and 127/342?
1026
Let g be (-96)/15 + -1 + (-6)/(-15). Let s be ((-2)/g)/(396/1107). Let a = 15/14 - s. Find the common denominator of a and -36.
11
Let w(q) = -9 - 6 - 13 + 2*q + 16. Let y be w(8). What is the smallest common multiple of 28/y - (-2 - 0) and 3?
9
Let w be ((-542)/(-813))/(-1 + (-181)/(-183)). Calculate the common denominator of 245/56*(-3 + w/(-25)) and (-2)/14*1414/48.
120
Let s = -11/5 - -487/10. Calculate the common denominator of s and 58/627.
1254
Suppose 5*k = -4*c + 5, -c + 6*c = 5*k + 40. Suppose -40 + 165 = c*x. Let d = x + -17. Calculate the smallest common multiple of d and 2.
8
Suppose 0 = 14*f - 5*f - 1116. Let x = -112 + f. Calculate the smallest common multiple of x and 26.
156
Suppose 3*m - 5*q = 1880, -522 = -m - 3*q + 128. Let i = m - 627. Let l(y) = -2*y**3 - y**2 - 2*y - 2. Calculate the least common multiple of i and l(-2).
56
Let l = -8710 + 313517/36. Find the common denominator of l and (-8 - -7) + 1/45.
180
Suppose -c - 3*c + 4 = 4*y, c = -4*y + 1. Suppose 0*u - 9*u - 153 = y. Calculate the common denominator of u and (14/(-10) + 15/10)*62.
5
Let a = -88877/27 - -3293. Let t = -8133 + 463531/57. Calculate the common denominator of a and t.
513
Let d be (-1 + 7/5)/(66/165). What is the common denominator of ((-51)/153)/(d/17) and 33/5?
15
Let h(k) = -390*k + 1645. Calculate the least common multiple of 153 and h(4).
765
Let r = -404/13 - -1849/39. Find the common denominator of r and -41/594.
594
Let v be ((-2)/5)/1 + 17/5. Suppose p + v = 3*j, -5*p + 3*j + 45 = 8*j. What is the smallest common multiple of 32 and p?
96
Let n be (-3 - 53) + 16/(-6 + 2). What is the common denominator of -31/102 and ((-47)/5)/((-96)/n)?
408
Suppose 102*r - 97*r + 16041 = 3*t, -4*r = 4*t - 21324. Calculate the least common multiple of t and 30.
53370
Let l = -247954/188547 - -5/3697. Find the common denominator of l and (-1246)/984 + -70*(-28)/1568.
2091
Suppose 2*q - 8 = -0*q. Let b be (-10*5/(-100))/((-2)/(-76)). Suppose q*p - b = -w, -3*p + 5 = 2*p - 5*w. Calculate the least common multiple of p and 20.
20
Let p = 504249/5 + -101209. Let j be 15/1200*-10*(-28146)/10. Let x = p + j. Calculate the common denominator of x and 37/54.
216
Let r(t) = 9*t + 87. Let a(s) = -9*s - 88. Let k(j) = -5*a(j) - 6*r(j). Calculate the smallest common multiple of 1 and k(-10).
8
Let x(z) = -11*z**3 - 12*z**2 + 13*z + 19. Let u = -7 + 18. Calculate the lowest common multiple of u and x(-3).
1859
Calculate the smallest common multiple of (243/(-36) + 1)/(3/(-3480)) and 1334.
6670
Suppose 0 = 2*p + 3*b - 70 - 25, -4*b = -p + 42. What is the least common multiple of 138 and p?
138
Suppose -44*m = 15*m - 32922. Calculate the lowest common multiple of 248 and m.
2232
Find the common denominator of 67/1359 and ((-160)/(-15100))/((-1309)/(-340) - (-4)/(-1)).
1359
Suppose 0 = d - 2*d - 3*m + 138, d + m = 136. Let h be d/20 + (-1 - -1)/(-1). Let y = h - 205/12. Calculate the common denominator of 21/5 and y.
15
Let r(j) = -153*j**3 + 3*j**2 - 3. Let z be r(1). Calculate the smallest common multiple of (-3 + z/6)/((-2)/8) and 36.
684
Let a be ((-2)/(-2)*2)/(-9 + 10). Suppose 0 = -a*z + 20 - 0. What is the least common multiple of 2*(-2)/4*-9 and z?
90
Let x = -1/5793 + -43123/15448. Find the common denominator of 107/438 and x.
1752
Let h = 339/13 - 19412/715. What is the common denominator of h and (-8895)/250*20/(-540) + 4/18?
550
Let h = -47102/69 - -8092735/11868. Let w = 1/129 - h. Find the common denominator of ((-1)/(-2))/((-2)/(-19)) and w.
4
Let d = -180407599/1444 + 124936. What is the common denominator of 26 and d?
1444
Suppose h + 3*w = 88, -4*h - 4*w + 15 + 305 = 0. What is the smallest common multiple of h and 1304?
24776
Let b(n) = -7*n - 4. Suppose -y + 3 = -2. Suppose 2*w + 9 = -y*h - 5, -2*w - 12 = 4*h. Calculate the least common multiple of 10 and b(w).
10
Let n = 179 - 121. Suppose -n = -5*b - g + 25, 5*g + 1 = b. What is the lowest common multiple of b and 18?
144
Let d = 712 + -412. What is the lowest common multiple of 420 and d?
2100
Let f(r) = r**3 - 75*r**2 + 301*r - 10. What is the lowest common multiple of f(71) and 1539?
10773
Find the common denominator of 123/400 and ((-196)/(-80))/(-10*(-60)/(-6)).
2000
Let s(i) = -i + 12. What is the smallest common multiple of ((-244)/1952)/(2/(-32)) and s(-10)?
22
Calculate the lowest common multiple of (-1)/3 - (3 - 5512/39) and 18.
414
Let f(z) = -z**3 + 19*z**2 - 15*z - 69. Let q be f(18). Calculate the common denominator of 13/48 and ((-1113)/530)/(16/q).
96
Let f = 1729795/119 + -14536. Calculate the common denominator of f and 50/527.
3689
Let z = -35/96 - -2735/3552. Let b = z - 896/111. Calculate the common denominator of b and (-238)/(-3)*(-12)/(-392)*(-4)/3.
21
Let g = 14465 + -14455. Calculate the lowest common multiple of 610 and g.
610
Calculate the common denominator of (-1 - ((-4)/(-12) + -1)) + 6132/10296 and -19/8.
1144
Let k = -55469/8 - -6922. What is the common denominator of -28/1823 and k?
14584
Let c = 59829/2 - 29893. Calculate the common denominator of (-206)/(-30)*(-1)/(-16) and c.
240
Let y = -7505711073/624430 - -3/62443. Let j = y + 12008. What is the common denominator of j and (-70)/3*(-9)/96?
80
Suppose 4*b - 1368 = 100*u - 104*u, 2*u = 3*b + 679. Calculate the smallest common multiple of 279 and u.
3069
Let g = 283 + -241. Calculate the lowest common multiple of g and 14/56 + (-1395)/(-20).
210
Let j = -3639441/118 - -30842. Calculate the common denominator of j and 119/54.
3186
What is the common denominator of (2/33)/((-53)/(352026/504)) and 101/224?
2464
Let o = 1193829 + -2165463. Let m = o + 7735205/8. Let l = m - -4745. Calculate the common denominator of -97/24 and l.
24
Let d = -5 - -32. What is the least common multiple of d and 1*-2*585/(-26)?
135
Suppose 0*q + 2 = 2*q. Let y = -8659 - -129806/15. Find the common denominator of y and (q + 1 + 35)*8/(-84).
105
What is the common denominator of -107/4992 and (-47)/7332*(2832/(-63) + (-6)/(-21))?
14976
Let p = -203760 + 53588784/263. Let s = p - 5699/11046. Find the common denominator of s and -25/18.
126
Let r be 1 + (2/4)/((-14)/28). Suppose 5*i - 23*i + 288 = r. What is the least common multiple of i and 158?
1264
Let s be 6/27 + (-187580)/777492. Let k = s - 10/621. Let u = 12097/3130 - k. Find the common denominator of 89/4 and u.
20
Let o = 5900497/36216768 - -2/80841. What is the common denominator of -41/112 and o?
448
Let a = 81 + -1. Suppose 4*l = -4*l + a. Suppose -2*t + 5 - 1 = 0. What is the lowest common multiple of l and t?
10
Suppose 3*j - 2360 = -308. Suppose -678*z + 4110 = 7*z. What is the smallest common multiple of z and j?
684
Suppose -8*h = -3*h - 4*n - 189, -4*h + 152 = -4*n. What is the least common multiple of 74 and h?
74
Suppose g - 1 = 0, 10*k + 3*g + 85 = 2*k. Let c = -109 + 54. Let h = k - c. Calculate the least common multiple of 40 and h.
440
What is the common denominator of (296/752)/((-93)/124) and 113/1974?
1974
Let z = 264365/806232 + -5/9598. Calculate the common denominator of 155/888 and z.
6216
Suppose 14061 = 4*y + 11421. Let z = -22301/20 - -1114. What is the common denominator of z and 4389/y + (-7)/1 - -5?
20
Let f(r) = r - 6. Let z be f(6). Suppose z = a - n - 109, a - 126 + 19 = 3*n. Suppose -2*g + a = 3*g. What is the smallest common multiple of 72 and g?
792
Let q = -358 - -360. What is the smallest common multiple of 248 and q?
248
Let n(f) = f - 4 + 12 - 38 - 2*f. Let g be n(-11). Let s = -8 - g. What is the smallest common multiple of 1 and s?
11
Let f = -1008553979/96 + 12014895419027/1143648. Let k = -2/11913 - f. What is the common denominator of k and (-2)/40 + (-88)/(44000/(-16275))?
18
Suppose 0 = -4*x + 5*r - 16, -2*r - 5 = 3*x - 4*r. Suppose 3234 = m + 3196. Calculate the least common multiple of m and x.
38
Let m(p) = 3*p**2 - 8*p + 9. Let q(t) = -8*t + 42. Calculate the least common multiple of m(3) and q(-11).
780
What is the least common multiple of 135 and 896/3 + 50/60 + 4/8?
2700
Let t(n) = 324*n - 1092. What is the smallest common multiple of t(7) and 80?
11