39
Suppose -19*q = 4*c - 307, -3*q - 9 = -12. What is the smallest common multiple of c and 80?
720
Let x = -15/13973 + -1187375/307406. Let z be (-4)/(-10) - 126/(-736). Let l = -1/115 + z. What is the common denominator of l and x?
176
What is the common denominator of -7/1224 and 212/318 + (-7923)/13464?
13464
Suppose 4*c + 4*q = -16 - 28, -5*c = -5*q + 25. Let b(p) = -3*p**3 - 25*p**2 - 6*p + 19. What is the smallest common multiple of 57 and b(c)?
57
Let l = 28342/2445 + 4/489. Let i be (12477/(-27))/(10/2). Let f = i - -1288/15. Find the common denominator of l and f.
45
Let z = -18715 + 3200183/171. Let j = z - -7/19. Find the common denominator of -10 and j.
9
Calculate the smallest common multiple of -9*((-1)/3 - 0) and -1 + 1 + (-9 - (-99)/9).
6
Suppose -37*x - 15 = -22*x. Find the common denominator of -1/7 and x/((-7735)/(-7446)) + (-3)/(-5).
91
What is the smallest common multiple of 560 and 272/2 + (-2 - -10)?
5040
What is the common denominator of 95/(-2926) - ((-31)/11 - -3)*1 and 33/112?
112
Let g = -4673 - -4681. Calculate the smallest common multiple of g and 568.
568
What is the common denominator of 17/420 and ((-18)/(-135))/((-112)/1236) + (-2)/(-5)?
420
Let d be 3 + 0 + -18 + 17. Let q = 389617/37404 + 2/9351. Calculate the common denominator of q and (-94)/9*d/4.
36
Let d = -16/681 - -17893/127120. Calculate the common denominator of 27/154 and d.
18480
Let r(y) = 4*y - 11. Let h(g) = -13*g + 299. What is the lowest common multiple of h(22) and r(4)?
65
Let k = 2/5189 + -368455/93402. Let p = 972 - 8762/9. Let s = k + p. Find the common denominator of s and 55/13.
26
Suppose 0 = -6*w - 35*w + 7708. Calculate the least common multiple of 44 and w.
2068
Suppose 0 = 3*i - 12, 7*i - 4*i = 2*r - 16. Let k = 4419 - 4405. What is the smallest common multiple of k and r?
14
Suppose 0 = 6*a - 2*a - f + 254, -242 = 4*a + 5*f. What is the common denominator of (14/a)/((-5)/(915/12)) and -63/10?
90
Let i(o) = 2*o**2 - 34*o + 81. What is the smallest common multiple of i(15) and 57?
399
Let q = 234538 - 76928377/328. What is the common denominator of q and 7/820?
1640
Let f = -56437/3 - -18834. Calculate the common denominator of -167/1830 and f.
1830
Calculate the least common multiple of 88 and (34/(-4) + (-1)/(-2))/(1410/(-333465)).
3784
Let z = -96/83 + 307/2490. Find the common denominator of -79/609 and z.
6090
Let i(w) = w**3 - 111*w**2 - 115*w + 354. Let m(c) = 65*c + 5. Calculate the lowest common multiple of m(5) and i(112).
990
Let x(o) = 5*o - 18*o + 12 + 12*o. What is the smallest common multiple of x(8) and 12?
12
Let r = 4/7189 + -309191/115024. Let s be 4/(-14) - 70125/(-21). Let l = s + -73361/22. Calculate the common denominator of r and l.
176
What is the common denominator of ((-5494)/(-1968))/(1/4) and 13/306?
306
Calculate the common denominator of -139/2418 and (-957)/1860 + -2 + (-6)/((-24)/10).
24180
Suppose 0 = -11*p + 29 + 4. What is the smallest common multiple of (-2)/(-3) - ((-952)/p)/1 and 10?
1590
Suppose 5*d - 4*p - 1558 = 0, -46*d - 925 = -49*d + p. What is the least common multiple of 75 and d?
7650
Suppose -8 = -3*t + 8*t - u, 3*t - 4*u = -15. Let a be (-194)/(-97)*(-1 + 7 + t). Suppose 0*n + 240 = a*n. What is the least common multiple of 8 and n?
24
Let i(x) = 3166*x + 238. Let c be i(7). Let g = c - 1881763/84. What is the common denominator of -91/4 and g?
84
Let k be (-1053)/45*(-3 - -8). Let q = k + 129. What is the least common multiple of q and 66?
132
What is the common denominator of 5/(-16)*1431/(-2597) + (-1)/4 and 7/20?
3920
Suppose -11 = -10*l + 339. Suppose 54*u - 5733 = -63*u. Calculate the least common multiple of u and l.
245
Suppose -3*o + 9 = 0, 0 = -3*y - 10*o + 7*o + 105. Suppose -16*f - 528 = -y*f. Calculate the smallest common multiple of f and 27.
297
Suppose 0 = -7*a - 315 - 301. What is the common denominator of 23/42 and 58/a + (-15)/(-20)?
462
What is the common denominator of (19/(-16))/((-281009)/388) and 83/12?
34764
Let c(q) = -5*q + 2. Let d be c(7). Let l = -15 - d. Suppose -94*x - 312 = -148*x + 876. What is the lowest common multiple of x and l?
198
Suppose 155*j + 4*f + 7870 = 160*j, 3*f = 15. What is the smallest common multiple of 42 and j?
11046
Let m = 49 + -45. Suppose -8 = -m*c, 0 = 6*f - 11*f + 5*c + 50. What is the least common multiple of f and 4?
12
Suppose 0 = 117*v - 113*v - 248. Suppose 4*n + v = 5*d, 5 = -5*d - 3*n + 46. What is the least common multiple of 22 and d?
110
Let a = 8 - 0. Suppose -58*t = -63*t + 220. Calculate the lowest common multiple of a and 319/t - 6/(-8).
8
What is the common denominator of -3/1573 and (29 - 27)/(((-55902)/(-135))/7)?
17303
What is the common denominator of -1 + (-76)/(-84) + 3653/(-2730) and 139/36?
180
Suppose 0 = -3*f, 50 = 15*r - 10*r - 6*f + 2*f. Calculate the least common multiple of r and 150.
150
Let n = -1045 + 2093. What is the common denominator of 19/(-24) + (-1)/(-2) and (n/(-56))/((-48)/28)?
24
Let g = 36 - 47. Let m = -16 - g. What is the common denominator of m and 49/33 + 18/99?
3
Let a = -229523/82 - -2799. Let o be -1 + (106160/36 - (-3)/(-2)). Let b = -2951 + o. What is the common denominator of b and a?
738
Suppose -3*v - 14697 = 3579. Let o = v + 134135/22. Find the common denominator of o and ((-6)/(-36))/((-55)/(-855)).
22
Calculate the common denominator of 2/(-55)*70/(-8) and 2/3*(31 + 9480/(-192)).
44
Let g(s) = -s + 42. Let p(d) = 4*d**3 - 5*d**2 - 18*d + 36. What is the smallest common multiple of p(2) and g(0)?
84
Let n = -22/4343 - -29350104/21715. Let a = n + -189689/140. Find the common denominator of 57/32 and a.
224
Let j(l) = l**2 - 8*l. Suppose 3*d - 4*d + 9 = 0. Let p(t) = -t**3 + 13*t**2 - 42*t + 11. Calculate the smallest common multiple of j(d) and p(7).
99
Suppose -4*a + 30786 + 31366 = 0. Let y = a + -745919/48. Find the common denominator of -25/8 and y.
48
Let v = 747042571/16245 + -45986. Let x = v - -698491/714780. Calculate the common denominator of x and 1/(-2)*(-2585)/275.
220
Let g = 6794 + -163087/24. Let r = 62/225 - -13339/6300. What is the common denominator of r and g?
168
Suppose -54 = 24*c + 18. What is the lowest common multiple of 3 + ((-5)/(-3))/((-1)/c) and 84?
168
Let d(p) = -11*p**2 - 159*p + 18. What is the least common multiple of d(-11) and 18?
3924
Suppose 23*f - 14*f - 225 = 0. Suppose -p = 2*w + f, -p - 2*p = -5*w - 35. Let c(s) = s + 30. Calculate the least common multiple of 108 and c(w).
540
Suppose 0 = 4*q - 12 - 0, -5*t + 5*q + 185 = 0. Suppose -t = -5*w - 4*j, -w + 4*j - 28 = -12. Calculate the lowest common multiple of w and 136.
136
Let v = 1718/35 + -837/14. Find the common denominator of (-1 + (-405)/(-456))*480/(-40) and v.
190
Let x(f) = f**3 + f**2 - 2*f + 6. Let m be x(2). Suppose 11*u + 108 = m*u. What is the lowest common multiple of u and 20?
180
What is the smallest common multiple of ((-1)/(-5))/((-686)/(-41160)) and 5468?
16404
Suppose -4*t + 62 + 46 = 0. Let u = 1919 - 1898. Calculate the lowest common multiple of t and u.
189
Calculate the common denominator of (1/66)/(11 + 11438/(-1043)) and -113/150.
1650
Let r = 128545267/650 - 197762. Find the common denominator of r and 163/30.
1950
Let r be 5/((-5)/(-3)) + (-419606)/(-330). Let d = 6394/5 - r. Find the common denominator of -89/12 and d.
60
Let n be 4/((8/(-3))/(-2)) + 0. Suppose -4*f + 2*t = -24, -n*t + 2*t = -f + 6. What is the least common multiple of f and 6?
6
What is the common denominator of 93/3142 and -2 + (-1330)/(-105)*(-9)/16?
12568
Suppose -6 = 3*n + p - 0*p, 0 = -4*n + 2*p - 18. Let q be 116*((-1)/(-2))/1. Find the common denominator of (n + q/(-8))/(6/4) and -38/3.
6
Let n = -1/48163 - -722458/626119. Calculate the common denominator of n and -35/6266.
6266
Let a(j) = j**2 - 2*j + 20. Let m = 1539 + -841. Calculate the least common multiple of m and a(0).
6980
Calculate the common denominator of (3/(-21))/(60/(-1582)) and -3 + -18 + 24 - 11/40.
120
Calculate the common denominator of -2 + 5964/(-1001) + 8 - 4/22 and -37/104.
1144
Suppose 18*u + 1846 = 1936. Calculate the least common multiple of u and 382.
1910
Let n be 1298/(-7) + 249/83. Let t = n + 15947/84. Find the common denominator of 2/33 and t.
132
Suppose -60 - 1578 = -14*o. Let m = -