et m = 3986071/12 + -331932. Let z = m - 237. What is the common denominator of (-1 - 58)/(1*15) and z?
60
Suppose -18*h + 2038 = -482. Calculate the common denominator of ((-275)/h - -1 - -1)*-110 and 37/68.
476
Let o = -52 - -58. Find the common denominator of o/(-12)*123/36 and 23/42.
168
Let c(b) = -b + 2. Let z be c(-1). Let v be (3 + z + 31/(-3))*21. Calculate the common denominator of 20/33 and 1/(-9)*v*(-12)/(-63).
297
Let h = -40339/17530 + 2/1753. Suppose 0*o + 3*o = -2*w + 1628, -3220 = -4*w + 3*o. Let s = -7313/9 + w. Find the common denominator of s and h.
90
Suppose 2*h - 5*h = 2*r + 49, 3*h = -5*r - 127. Let g = r - -31. Suppose -19 = -g*v - 9. What is the smallest common multiple of 22 and v?
22
Let w = -2178 + 5241. Suppose -8*z + 3093 = -5*z - 3*u, 3*u - w = -3*z. Find the common denominator of 8/(-6)*z/(-36) and -64/3.
3
Let a = -1308457334/1933 - -676905. Calculate the common denominator of a and 53/4.
7732
Suppose -8 = q + 4*g, 4*q - g + 8 = -5*g. Suppose 6*r + q*r = 12. Suppose -5*w = -l + 41, r*l - 3*w + 5*w = 22. What is the lowest common multiple of l and 14?
112
Suppose -22*h + 49729 + 144617 = 39*h. What is the lowest common multiple of 2 and h?
3186
Let i be 16/3*(-1916)/(-760). Let y = -805/9 + 15508/171. Let z = y - i. What is the common denominator of 53/30 and z?
30
Let f = 31302/7 + -940103/210. Calculate the common denominator of f and 4 - 6 - 202/36.
90
Let y(d) = -d**2 + 28*d + 107. Let o be y(31). Let x(v) = 8*v**2 + 4*v + 2. Calculate the least common multiple of x(-2) and ((-2)/(-4))/(o/504).
234
Let u(q) = -2*q**2 - 42*q - 22. Let t be u(-19). Suppose 0 = -t*k + 555 - 15. Calculate the lowest common multiple of (-1 - -2)/(1/68) and k.
340
Let m = -463 - -475. Calculate the common denominator of 89/16 and (-135)/24*5/m.
32
Suppose 5 = -2*r + r - d, -4*d = 2*r. Let n be -3 + (4/r - (-32)/5). Suppose 2*b + 5*l + 6 = 19, -3*l = n. What is the least common multiple of b and 3?
9
Suppose 5*w - 40 = 4*q, 5*q = -2*w + 2 - 19. Find the common denominator of (9/375)/(-5*w/(-650)) and -43/14.
350
Let m be ((-38921)/(-76))/(((-21)/12)/7). Let z = -2049 - m. Find the common denominator of 3 - 3 - 39/(-4) and z.
76
Let k be 9/(-7) - (-8)/28. Let b(n) = -6*n + 44. Let t be b(9). What is the smallest common multiple of 4 and -2 - (k - 0) - (-20 - t)?
36
Let j = 209 - 1838/9. What is the common denominator of j and -2*(-193)/645 - 4/30*1?
387
Let d = 96 + -106. Calculate the smallest common multiple of (d - -24) + (2 - 4) and 28.
84
Suppose 9*p = 376 + 4574. Let a = 30799/56 - p. Calculate the common denominator of a and -35/16.
112
Let d = 958243/40 - 23954. What is the common denominator of 22/285 and d?
2280
Suppose -89 - 25 = -2*w. Let j(p) = -p - 3. Let h(m) = -m**3 + 5*m**2 - 4*m + 9. Let b be h(5). What is the lowest common multiple of w and j(b)?
456
Calculate the common denominator of -41/240 and (-19195)/(-3300) - (-1 + 4).
240
Suppose 5*z - 1761 = -3*t + 475, -4*t + 2990 = -2*z. Let w = 12763900 - 472236655/37. Let h = t - w. What is the common denominator of 45/4 and h?
148
Let v = -10488 - -11296. What is the lowest common multiple of 202 and v?
808
Let l(m) = 2*m**3 + 20*m**2 - 2*m + 20. Let c(x) = -x**3 - x**2 + x + 1. Let r(f) = c(f) + l(f). What is the lowest common multiple of 4 and r(-19)?
40
Let m = -667109/3381800 + -3/91400. Find the common denominator of m and 97/814.
4070
Suppose -1240 = -997*f + 987*f. What is the lowest common multiple of 18 and f?
1116
Let a = -1938 - -4008. Calculate the lowest common multiple of a and 552.
8280
Let w be 10265/(-398)*63/210. Let c = w - 5/398. What is the common denominator of 61/8 and c?
8
What is the common denominator of (0 - -7) + (-1187208)/168960 and 121/624?
24960
Suppose -2*t = 14 - 18. What is the lowest common multiple of t and 28?
28
Suppose -2*y + 129 = -y. Suppose -27 + 75 = r + 2*j, -3*r + y = 3*j. Let m = r - 194/5. Find the common denominator of m and 36.
5
Let g = 4132 - 248023/60. Calculate the common denominator of g and 11118/68*(-2)/(-120) + 9/72.
60
Calculate the common denominator of -97/24 and (-33)/((-4158)/12) - 229/1218.
4872
Suppose -156*x = -149*x - 350. Let r = x + 38. What is the lowest common multiple of r and 55?
440
Let q = -4459296 + 1319954365/296. Let r be -51*((-654)/(-333) - 2). Let v = r + q. Calculate the common denominator of v and 47/34.
136
Let b = -7448/895 + -14/179. Let c = 2465 + -391957/159. Let q = c + 3581/1749. Calculate the common denominator of q and b.
55
Calculate the common denominator of ((-20)/6 + 3)*(32 + -14 - 48) and -77/36.
36
Let k be (-4)/1 - (19760/(-7))/(-13). Let u = 3009/14 + k. Calculate the common denominator of 27/22 and u.
154
Find the common denominator of -67/150 and 94/(-329) + 2 + (-1767)/700.
300
Let y = 185 - 234. Calculate the common denominator of -29/7 and (47/y)/(120/(-35)).
168
Calculate the smallest common multiple of 952 and (4/(-6))/((-3531)/504 - (-21)/3).
1904
Let w = 44311 + -44177. Let x be (3/(-2))/(12/(-16)). Let n(k) = 6*k**2 - 3*k + 2. Calculate the lowest common multiple of n(x) and w.
1340
Let f(b) = 13*b - 7. Suppose 243*i - 1299 + 1496 = 4571. Calculate the lowest common multiple of i and f(7).
252
Let d(h) be the first derivative of -h**3/3 + 4*h**2 - 4*h - 3. Let l be d(5). Let f(m) = m**2 - 8*m - 12. Calculate the common denominator of f(l) and 73/39.
39
Find the common denominator of 4/1311 and ((-333)/621)/((-24)/4 + 1 - -2).
3933
Let s(b) = 7*b + 10. Let t be s(-4). Calculate the least common multiple of (-780)/t - (-2)/3 and 4/(32/6) + 3454/88.
440
Suppose -2*z = -30*z - 10*z + 39102. What is the lowest common multiple of z and 42?
2058
Let c(j) = j**2 + 15*j + 4. Let t be c(-17). Let s = -33 + t. Suppose -7*k + 90 = 3*f - 3*k, -s*f + 150 = 5*k. Calculate the least common multiple of f and 20.
60
Suppose 0*t + t - 2*h = -20, -2*h = 4*t + 30. Let f be t/8*2*(-5)/2205. Let r = 11603/1764 + f. Calculate the common denominator of -79/36 and r.
36
Let z = -534 + 5243/10. Suppose -x = 5*c + 3*x - 7, -x + 3 = 0. Find the common denominator of z and (-16)/200*c*(-135)/4.
10
Let p(g) = -3*g**3 - 107*g**2 - 71*g + 5. Calculate the smallest common multiple of p(-35) and 75.
600
Suppose 28*o + 186129 = 438*o - 63151. What is the least common multiple of o and 456?
1824
Let o = 18821 - 18816. Suppose 0*r = -5*r + 125. Calculate the lowest common multiple of r and o.
25
Let m be 12/66 + 48/(-22). Let l be m - ((-1058)/1260 + -1). Let k = l + -34/63. Find the common denominator of 51/4 and k.
20
Calculate the common denominator of -83/90 and (6/21 - (-30412)/(-4032)) + 7.
720
Let q(d) be the third derivative of -d**4/24 - 7*d**3/2 + 27*d**2. Let z be q(-15). Calculate the common denominator of 4 + ((-27)/360)/(z/(-404)) and -45/4.
20
Let r = -38/187 - -121670/2431. Let d = -17/26 - r. Find the common denominator of -27/250 and d.
250
Let v = 25342 - 75980/3. Let y = 1219/777 + 2/777. Calculate the common denominator of y and v.
21
Suppose -2*m + 57 - 17 = 0. Suppose 0 = 3*n - 4 - m. Calculate the least common multiple of n and 40.
40
Let m = -80575535 - -1450718975/18. Let c = m - 19969. Calculate the common denominator of 91/74 and c.
666
What is the common denominator of -5 + 10000/3456*2 and 133/396?
1188
Let d = -4899 + 3399. What is the common denominator of 170/(-44) + 16/4 and (1925/d)/((-4)/6)?
440
Let a = -11444 - -2540603/222. Calculate the common denominator of a and (1 + (-46)/48)/((-135)/(-180)).
666
Let n be (-1*7/(-19260))/(196/5553464). Let x = n - -2/963. What is the common denominator of ((-1)/(-4))/((-21)/(-102)) and x?
70
Let x = 1/18295 - -2177093/219540. Let f be (3/(-9))/((-12)/(-501)). Let r = f - x. What is the common denominator of 42/5 and r?
30
Let j be (0 - -4)*1134/56. Suppose 89 + j = 10*x. What is the lowest common multiple of x and 1?
17
Suppose 0 = -40*w + 37*w. Calculate the common denominator of -5*(w + 22/25) and -28/173.
865
Let b be 20451/(-6 - -9)*1. Let a = -136373/20 + b. What is the common denominator of a and 125/54?
540
Let t be 5*2*(-8)/(-16). Suppose 5*b + 35 = 5*w + 2*b, b = -t*w + 35. What is the least common multiple of w and 85?
595
Let w be 8*(-6)/(-24) + 3*-1. Let h be (w + 1)/(8/(-4)). Suppose h = -k + 4*m + 7, 7