et g(q) = -10*q**2 + 7*q - 1. Let t be g(m). Calculate the common denominator of -121/18 and 2/2*299/t.
198
Let d = 1732/39 - 406841/9204. Suppose 9*t + 9*t - 54 = 0. Calculate the common denominator of d and (-9)/(-36) + 9/(-5) - t.
1180
Let b be -1*19/(-5 - -4). Suppose -2 = -7*t + b. Let q = -15 + 17. Calculate the lowest common multiple of t and q.
6
Let v = 17128857/8800 + -62283/32. What is the common denominator of v and 35/11?
1100
What is the common denominator of -71/63 and ((6/(-2430))/(-1))/(16/944)?
2835
Let i = -48 + 66. Let y be i/72 + 986/(-104). Let r = -631/26 + y. Find the common denominator of r and -10.
2
Suppose -155*t = 92*t - 12637875 + 3963482. What is the smallest common multiple of 11 and t?
386309
Let x(a) = -a - 1. Let l be x(2). Find the common denominator of 2146/609 + ((-4)/6)/1 and l/5 + (-1263)/(-30).
14
Let n = -137 + 132. Calculate the common denominator of ((-264)/30)/(-4 - n) and 23/27.
135
Calculate the common denominator of 34/205 and 3/12 + ((-2)/(-20))/(392/24220).
1435
Let h = -44633906/945 + 425084/9. What is the common denominator of h and 26/735?
6615
Suppose 50*b - 60 = 55*b. Let t(m) = m**3 + m**2 + 42. What is the least common multiple of 99/(-6)*-1*(-16)/b and t(0)?
462
Let s = -1023 - -5092/5. Let w = 264 - 142. Let n = -3661/30 + w. Find the common denominator of s and n.
30
Let a be (89800/287)/1 - 0. Let r be (21926/70)/(-1) - 206/1030. Let c = r + a. Find the common denominator of c and -43/10.
410
Suppose 0 = i - 2. Suppose x - 8*d + 10*d = -39, 4*x = -5*d - 168. What is the common denominator of x and i/22*(-5 + (-29 - 0))?
11
Let z = 5456/4725 + 78366479/51975. Let v = -1509 + z. Let w = 181/220 + v. Calculate the common denominator of w and 13/14.
28
Let y = -61253976/56309 + 11966/11. Let x = 332771/92142 + y. Find the common denominator of -4 + (-952)/(-240) + 1 and x.
90
Let u(d) = 2*d**2 - 6*d - 6. Let b be u(4). Suppose 5*x + 150 = 3*v, -2*v + 100 = -b*x + x. Calculate the least common multiple of v and 55.
550
Let m = 3495 - 3490. Suppose 4*l - z = -5*z - 12, 0 = 5*l - 2*z - 20. Let x = l - -7. Calculate the smallest common multiple of x and m.
45
Let l(m) = m**2 - 1. Let u be l(5). What is the common denominator of 21/(-264) - 0 - 9/u and -107/6?
66
Calculate the smallest common multiple of ((-135)/(-36))/(-4 + 85/20) and 6.
30
Let o be -2 - (0 + (-3)/9*0). Let t be (-3 - o) + 0 + 3. Suppose t*m - 5*f + 51 = 6*m, -2*m - 4*f + 24 = 0. Calculate the smallest common multiple of m and 24.
168
Let l = 3279 + -65611/20. Let y be (-2)/3 + (-624124)/(-1680). Let n = -2606/7 + y. Find the common denominator of n and l.
20
Let b = 1/278135 - -5561233/408024045. Find the common denominator of 23/1793 and b.
16137
What is the common denominator of 83/1088 and (3/(-170))/(2013/(-1380)*4 - -5)?
1088
Let i(y) = -2*y**2 + 10*y - 9. Let n be i(4). Let f be n/4*1 + (-1103585)/36. Let k = f + 30663. Find the common denominator of k and -29/9.
18
Let g = 140 + -133. Let a(p) = 7*p + 3 - 5*p + p**3 + 5*p - 8*p**2. What is the lowest common multiple of 10 and a(g)?
30
What is the common denominator of 53/180 and 2/((-3240)/(-10115)) + (26 - 32)?
1620
Let c = -4478 + 5451. Calculate the least common multiple of 695 and c.
4865
Let u(a) = 5*a**3 + 24*a**2 - 4*a + 7. Let j be u(-5). Suppose 5*r - 8*r - 1785 = -2*k, -1791 = -j*k + 5*r. What is the smallest common multiple of 10 and k?
4440
Suppose 9*m + 56 - 191 = 0. Suppose -g - g = -4*s - 58, -4*g + 4*s = -112. Let t = -15 + g. What is the least common multiple of t and m?
60
Suppose -5*a - 2448 = -2463. Suppose v = -1 + 7. Suppose 5*q = v*q - a. Calculate the least common multiple of q and 12.
12
Let h = -94 + 97. Suppose -3*w - 61 = -h*p + 2*w, -25 = 5*w. Calculate the smallest common multiple of p and 48.
48
Suppose -3*p + 774 = 3*q, 5*p + 758 = 8*q - 5*q. Find the common denominator of (488/q)/(-5 + (2 - 0)) and 61/22.
1056
Let n = 146691 + -263163623/1794. Find the common denominator of 109/144 and n.
43056
Suppose k = -0*k. Suppose k = 3*v - v - 2, 4*v = -3*b + 52. What is the smallest common multiple of ((-10)/4)/(4/(-5) - (10263/440 - 24)) and b?
80
Calculate the smallest common multiple of 124 and -1 + -2 + (2 + 187 - -4).
11780
Suppose 8*s - 26 + 10 = 0. Find the common denominator of -49*s/6 - 4/6 and 83/4.
4
Find the common denominator of 67/18 and 12*12/65232*-3*388/(-72).
2718
Let p(k) = -k**3 - 8*k**2 - 8*k - 20. Let j be p(-8). What is the common denominator of -61/32 and ((-306)/(-176) - 1)/((-11)/j)?
352
Let c(g) = 2*g**2 + g + 1. Let i = -60 - -59. Suppose 0 = -3*q - 16 + 28. What is the least common multiple of c(i) and q?
4
Let c be (-304584)/(-152304) - (1 - -1). Let g = -241213/412490 - c. What is the common denominator of g and -44/35?
455
Let w be -192 + (-2 + -3 - -1). Let t = -1762/9 - w. Let b = 488 - 909/2. Find the common denominator of b and t.
18
Suppose 4*l + 8 = 4*h, 2*l = -1 + 5. Suppose 0 = s + 2, s - 85 - 209 = -h*d. Calculate the smallest common multiple of d and 12.
444
Let k = -261 + 267. Let i(p) = 7*p**3 - 5*p**2 - 16. Let g(l) = -l**3 - l + 1. Let m(t) = -6*g(t) - i(t). Calculate the lowest common multiple of 8 and m(k).
40
Suppose -q + 2*f = -950, -2*q - 3*f + 1896 = -6*f. Let x = q + -934. Calculate the lowest common multiple of 200 and x.
200
Let f be (5 + (-336)/36)/(1/(-9)). Let b = 421 - f. Calculate the least common multiple of 12 and b.
2292
Suppose 33*y = 22*y + 4620. Let v = -26494/3 + 9232. Let m = v - y. Calculate the common denominator of -69/38 and m.
114
Let b = -6964697323318003/1404640635655224 - 17052/1523378879. Let g = -1/38419 - b. What is the common denominator of g and -71/12?
24
Calculate the smallest common multiple of (-118)/(-24)*74 - (-15 + (-1602)/(-108)) and 52.
364
Let c be 5/(((-1)/(-1))/(-310)). Let g be (-9265)/(-7 - (3 + -3 + -1)). Let a = c + g. Find the common denominator of 97/24 and a.
24
Let h be (1 - 6) + 6826 - 2. Let n = h + -122639/18. What is the common denominator of -25 and n?
18
Let j be 5/(-4)*(-22 + -2). Suppose 2*x - 7 = -5*b + j, 2*b = -x + 17. Calculate the least common multiple of 36 and x.
396
Let l(j) = j**3 - 13*j**2 - 8*j + 14. Let v be l(14). Suppose -2*f = -9*f + v. Let d = f - -8. Calculate the smallest common multiple of 20 and d.
220
Let d = 80815/24 - 3363. What is the common denominator of -7*1/10*-3 and d?
120
Let q(n) be the first derivative of -1 + n**2 - 4*n - 1/4*n**4 + 11/3*n**3. What is the smallest common multiple of 16 and q(11)?
144
What is the common denominator of -83/144 and (-4041)/(-5184) + (2 - -2 - 5)?
576
Let i(k) = 14*k**2 - 2*k + 8. Suppose 11*v - 6 = 16. What is the smallest common multiple of 44 and i(v)?
660
Suppose -5*v + 361 = -119. What is the common denominator of 562/v - 6/9 and (107/8)/(9 + -2)?
112
Let r = -15807451/3492 + 18107/4. What is the common denominator of r and -71/27?
2619
Let c be 12/(-28) + 34/14 + 4. Calculate the smallest common multiple of 27 and (-12 - -40)/(-2)*c/(-4).
189
Let n = 4212 + 4028. What is the lowest common multiple of 15 and n?
24720
Suppose 18*p + 180 = 43*p - 2820. Calculate the lowest common multiple of 630 and p.
2520
Let k(y) = -y**2 - y + 10. Let d(j) = -30*j + 76. Let c be d(-8). Let s = c + -305. What is the lowest common multiple of s and k(0)?
110
Let o = 7911011855/3966 - 1994708. What is the common denominator of -95/6 and o?
3966
Let i(x) = -20*x - 106. Let f(h) = -h**2 + 37*h - 216. Let t be f(30). What is the smallest common multiple of 204 and i(t)?
1428
Suppose 2*b = 2*o - 122 - 66, o - 5*b - 106 = 0. What is the lowest common multiple of 245 and o?
3185
Let p be 6380/(-12309)*(3 - 9/(-6)). Let o = p + 33167/33570. Find the common denominator of 74/9 and o.
90
Let b(n) = 14*n**3 + 59*n**2 + 4*n + 10. What is the smallest common multiple of 1841 and b(-4)?
11046
Let j = 7 - -125. Suppose 0 = -k + 5, -43*v - 3*k - 165 = -48*v. What is the lowest common multiple of j and v?
396
Suppose -5*x + 151 = -i, 2*i - 64 - 54 = -4*x. What is the common denominator of (155/(-25))/((-28)/x) and -25/58?
406
Let a = -50 - -36. Let l be ((-2)/4)/(a/420). Suppose -n - 9 = -l. Calculate the smallest common multiple of 34 and n.
102
Let n(x) = -2*x - 9. Let w be n(-7). Suppose 2*q - w*