30
Let v = 49 + 23. What is the smallest common multiple of v and -8 + 14 + 2*-3*-2?
72
Suppose -6*r = -4*r - 36. What is the common denominator of 16/252 + (-3)/(27/6) and (-273)/r - (-2)/(-1)?
126
Let d(v) = -v**3 - 6*v**2 + 8. Calculate the smallest common multiple of (-28 - 15070/(-550))/(2/(-280)) and d(-6).
168
Suppose 0 = -x + 2*f - 15799, -2*f = 5*x - 3*f + 78977. Let a be 3/(-15) - 3174/x. Let m = -106367/14742 + a. Calculate the common denominator of 27/16 and m.
112
Let a be (9/(-6) + 1)/(7/(-966)). Let m = -57 + a. Calculate the lowest common multiple of 8 and m.
24
Calculate the lowest common multiple of (-5 - -8)/(((-6)/32)/((-1053)/108)) and 650.
3900
Let b = -590909/7412996 - 25/31411. Let h = -31 - -121/4. Find the common denominator of b and h.
236
Let x = 15515/8 + -3863587/1992. Find the common denominator of x and (-10)/45 + (-1497)/(-297).
2739
Let o = -98743/150 + 1973/3. Let l = -1625337/204952 + 23/2329. Let w = l + 59/8. What is the common denominator of w and o?
550
Let s(o) be the first derivative of 3*o**3 + 3*o**2 + 41*o - 125. What is the lowest common multiple of 12 and s(-7)?
1320
Suppose 4*r + 26 = -3*s + 71, 0 = -5*r - s + 81. Calculate the least common multiple of 1380 and r.
4140
Let x = 175297/25530 + 3/8510. Let c = -2308/315 + x. Find the common denominator of c and 51/56.
504
Let d = 23 + -7. Suppose 2*m + i + 4*i = 257, 5*i = 5*m - 695. Let v = m + -127. What is the lowest common multiple of v and d?
144
Let s = 8504059 + -47452649347/5580. Calculate the common denominator of s and -161/5580.
5580
Calculate the common denominator of 6/2 - (5 - (-22265)/(-3170) - -5) and 1/6.
1902
Let b(s) = s**3 - 7*s**2 + 8*s. Let l be b(6). Suppose -2*p + 2*x = -l, 27 = 4*x + 7. What is the least common multiple of 8 and 438/p + (-6)/(-33)?
40
Suppose 0 = 4*w - 2*t - 404, -3641*w + t = -3638*w - 301. What is the smallest common multiple of (0 - -2) + -1 - -43 and w?
396
Let l(z) = -8*z**2 + 107*z + 142. Calculate the smallest common multiple of 220 and l(14).
3960
Let z = 193 + -189. Suppose -y - 87 = -z*y. Calculate the lowest common multiple of y and 8.
232
Suppose 0 = 110*j - 130 - 420. Let l = 8 - -42. Suppose -20 = -2*x + q, j*q + l = 5*x + 4*q. Calculate the lowest common multiple of 8 and x.
40
Suppose 6*h + 30 = 2*q + h, 4*q = -3*h + 60. Suppose 2*f = -5*m - 83 + 84, 5*m + 3*f + 6 = 0. What is the lowest common multiple of m and q?
15
Let d(u) = 4*u**2 + 84*u + 450. Calculate the least common multiple of d(-40) and 14.
24430
Let n be (0 + 44/5)*75/(-15). Let l = n - -50. Calculate the common denominator of 49/16 and ((-546)/56)/(l/(-14)).
16
Let v be (-52611102)/88 - (-2 + (-100)/(-55)). Let p = v + 692322719/1158. Let z = p + 21/193. Calculate the common denominator of z and -89/2.
12
Suppose 0*o + 13 = o - u, o - 19 = -2*u. Calculate the common denominator of -81/20 and o/8*(-4 - (-5216)/1520).
380
Suppose -4 - 8 = -2*o. Let q be (o - -21) + (2 - -2). Suppose -4*a + q = -49. What is the smallest common multiple of a and 9?
180
Suppose 29*j - 23*j = 38052. Let d = j + 4318. Let p = -405109/38 + d. What is the common denominator of -117/20 and p?
380
Let f be (-4)/10 + (-277336)/23920. Let d = f + 88/299. Find the common denominator of 43/20 and d.
20
Let v = -990 - -1032. Calculate the least common multiple of v and 5929.
35574
Let s = 2/51443 - 8899699/1543290. What is the common denominator of s and (-28)/(-20)*14/20?
150
Let d be 10/(-10) - (-2 - -20). Let z = d + 22. Suppose 5*v = k + 2*k - 141, z*k + 3*v - 117 = 0. What is the smallest common multiple of 16 and k?
336
Let a(g) = -g**3 - 32*g**2 + 2*g + 70. Suppose -4*r - 56 = 2*o, -2*r + 0*r - 92 = 3*o. Calculate the smallest common multiple of a(o) and 86.
258
Let p = -37040 + 37152. Calculate the least common multiple of p and 140*(-4 - (-18)/4).
560
Suppose 0 = 4*z - z + 63. Suppose -855*a + 871*a + 736 = 0. Find the common denominator of (-6)/z - (-628)/154 and a.
11
Suppose 3*n + i = -1, 0*n + 3*i = -2*n - 3. Suppose -2*y + z + 175 = -n*z, z - 441 = -5*y. What is the least common multiple of 4 and y?
88
Suppose -4*y = -27 - 1. Suppose 12*b - y*b - 20 = 0. Let d = -1 + 2. Calculate the lowest common multiple of d and b.
4
Let t = 5/3511 - -122705/126396. What is the common denominator of 109/1506 and t?
9036
Let g = 2/4713 + 76967/28278. Let m be (-52)/117 - (-4022)/8928. Let h = m + 13111/5456. Calculate the common denominator of h and g.
198
Let n(h) = h**3 + 3*h**2 - 26*h + 17. Let f be n(-7). Suppose 5*b = b + 3*m + 37, f*b - 32 = -2*m. What is the smallest common multiple of 40 and b?
40
Let x = 555 - 346. Let o = x + -195. Calculate the smallest common multiple of o and (-2)/(-3) - 128/(-6).
154
Let d(x) = 595*x**2 - 97*x - 98. Calculate the smallest common multiple of 594 and d(-1).
594
Suppose 8 = -4*w - 4*q, -1 = -w + q + 1. Suppose w = 8*c - 3*c. Find the common denominator of c + (-12)/42 - (-667)/252 and 69/8.
72
Let i(u) = 2*u**2 - 3*u + 205. Let x be i(19). Find the common denominator of -27/8 and (4/10)/(150/x).
200
Suppose 5*w + 177 = 3*m, 5*w - 11 = -3*m + 196. Let v = 65 - m. What is the lowest common multiple of 9 and v?
9
Let f = -2112478763/7637700 - -48402/175. Calculate the common denominator of f and -7/10.
218220
Let g = -134 + -77. Let k = -186 - g. What is the least common multiple of 50 and k?
50
Let k be (-31971)/(-16480) + 96/160. Let h = k - 9/1030. What is the common denominator of (1/10)/((-14)/(-255)) and h?
224
Let s = 9545/152537 + -34/539. Find the common denominator of -73/3 and s.
5943
Let a(k) = -k**2 + 7*k - 12. Let z be a(5). Let i be (764 + z)/(91/(-3)). Let d = 282/13 + i. Calculate the common denominator of -24/25 and d.
175
Let t = -85 - -119. Let v = -20585 - -20599. What is the least common multiple of v and t?
238
Suppose 5*t - 3*j = 0, 3*t = 4*j - 0 - 11. Suppose -4*r = t*z - 75 - 14, 31 = r - z. Calculate the least common multiple of 11 and r.
286
Suppose -159 = -17*l + 45. Calculate the smallest common multiple of (-16)/72 + 56/9 - -3 and l.
36
Let m = 307549/36 + -8540. Calculate the common denominator of (290/(-176))/(21/(-28)) and m.
396
Let w be (-2)/9 + (-19236)/56. Suppose 224 = -t - 126. Let d = w - t. Find the common denominator of -97/12 and d.
36
Let i = -451 - -226. Let w = i + 316. What is the lowest common multiple of w and 21?
273
Let h = -329 + 315. Suppose -2*v = s + 4*s - 28, 0 = 2*s + 3*v - 9. What is the least common multiple of 150/525 + (48/h)/(-2) and s?
6
Suppose 34 = -6*a + 11*a + 3*c, 2*a = -c + 13. Suppose -3*o - 13*j + 12*j + 41 = 0, -a*j - 19 = -o. What is the least common multiple of o and 32?
224
What is the least common multiple of 77 and (-804)/(-45) - 5*(40/(-750))/2?
1386
Let o(h) = h**3 + 13*h**2 + 16*h + 19. Let f be o(-11). Suppose -59*a = -54*a - f. What is the lowest common multiple of a and 3?
51
Suppose -2*s - 312 = -8*s. Let c be (-2)/(-3) - (s/(-12) - -2). Calculate the common denominator of (-921)/(-120) + -3 - (c - -1) and 38/15.
120
Let s = -426080 - -340011781/798. Find the common denominator of s and 52/57.
798
Calculate the common denominator of 103/10 and (2 - 20466/(-6848)) + (-21)/3 + 2.
17120
Let v(k) = 11*k**2 - 1. Let n(z) = -11*z**2 + 1. Let x(a) = -7*n(a) - 6*v(a). Let t = -11660 - -11686. What is the smallest common multiple of t and x(-1)?
130
Let s = 1614992519/2006 - 805081. Calculate the common denominator of 49/340 and s.
20060
Let t be (-453572)/582 - (-2)/(-3). Let z = -1464817/1946 - 4237/139. Let h = z - t. Find the common denominator of -34/3 and h.
42
Suppose 4*d + 4*w - w - 969 = 0, 0 = 5*w - 15. Suppose 0 = 119*r - 109*r - d. Calculate the lowest common multiple of r and 21.
168
Let o(w) = -15*w + 212. Let y be o(13). Suppose q - y = -2*f - 4, -q - 7 = -3*f. Calculate the smallest common multiple of 70 and f.
140
Let i = -98 - -100. What is the common denominator of 2 - (0 + 123/70) and (-4 - (-693)/175)*505/i?
70
Suppose 3*a + 96 = -5*n + 11, -4*a = -3*n - 22. Let b(k) = 139*k - 415. Let j be b(3). What is the common denominator of j + ((-9)/n)/((-3)/(-12)) and -19/6?
42
Suppose -z = -3*y - 27, 0*z = -y - 4*z - 9. Let a be 1*(-12)/y + (-2)/6. What is the common denominator of 127/18 and (94/24 - 3) + a?
36
Calculate the co