8. Let h be x(-20). Suppose -h*j + 1044 = 10*j. What is the smallest common multiple of j and 2?
58
Suppose 81371 + 517612 = 11*f. Let d be -3 - (f/(-18))/7. Let h = 444 - d. Calculate the common denominator of h and -65/14.
42
Suppose 8*q - 189 = -q. Suppose 3*a = 2*m + m, -q = -5*m - 2*a. Let y(x) = 3*x - 14. Calculate the lowest common multiple of m and y(7).
21
What is the common denominator of 24483/(-1887) - (1 + -14) and -13/119?
4403
Let q be 22 + 1/3 + (-100)/(-60). Calculate the smallest common multiple of q/(-2 - -6) + 8/2 and 55.
110
Let g = -1860 + 3999. Calculate the smallest common multiple of g and 1.
2139
Let s = 39 + -19. Calculate the least common multiple of s and (-2 - -9 - 1)/(117/1326).
340
Let s = 24774917/2304 + -10753. What is the common denominator of 125/18 and s?
2304
Let p(j) = 29*j**2 - 9*j + 6. Let g be p(3). Find the common denominator of (-3*5/g)/(2/348) and 48/167.
1336
Suppose -16*v - 32 = -24*v. Calculate the lowest common multiple of v and 435.
1740
Let k = -3367 - -2194. Let c = k - -41047/35. What is the common denominator of -47/35 and c?
35
Suppose 4*n - 13 = -3*x, 2 = 5*x - 3*x - 4*n. Suppose w + 4 - x = 0. What is the common denominator of 38/3 and (((-15)/50)/w)/((-3)/(-107))?
30
Let f(m) = m + 19. Let b = -41 + 63. What is the lowest common multiple of b and f(-9)?
110
Let b be 14/63 + (-32)/(-18). Let a be (-133)/b - (3/(-2) - -1). Let g = 72 + a. Calculate the least common multiple of g and 2.
6
Calculate the common denominator of ((-279)/(-55) - 3)/((-1480)/50) and 41/66.
2442
Calculate the lowest common multiple of (3/(-4))/(15/(-2952)) - (-262)/655 and 12.
444
Calculate the lowest common multiple of (0 - (-1366)/(-6))*-3 - (-132 - -129) and 245.
3430
Suppose -10 = -3*z + 32. Let c be 40/(-1)*(10 + 504/(-45)). Suppose 0 = 5*h - 5*v - 132 + 52, -c = -3*h - 3*v. What is the lowest common multiple of z and h?
112
Let b = 33492 + -15292. Calculate the smallest common multiple of 20 and b.
18200
Let c(f) = 13*f**2 + 189*f - 934. Calculate the least common multiple of c(5) and 112.
336
Let x(a) = -2*a**2 + 2*a + 4. Let n be x(0). What is the lowest common multiple of 24 and 322/32*4 + (-1)/n?
120
Let u = 14264 + -14176. What is the least common multiple of u and 99?
792
Suppose 4*g = 3*m + 49, 3*g + 6*m - 33 = 7*m. Suppose -4*h + 65 = -0*h + 5*n, 0 = 2*h + 3*n - 35. What is the least common multiple of g and h?
10
Suppose x - 2947 + 2606 = 0. Calculate the lowest common multiple of x and 279.
3069
Let v = 911 - 9103/10. Let p = -427474697/7 + 90015913546109/1474032. Let u = 2/13161 - p. What is the common denominator of v and u?
80
Let j = -8555/15158 - -1/3498. Find the common denominator of (-28)/(-30)*((-106128)/469)/(-72) and j.
195
Let h(y) = -2*y + 5*y + 3 + 9*y**2 + 16*y**3 - 2*y**2 + 9*y - 15*y**3. What is the lowest common multiple of h(-4) and 46?
138
Let o(u) = -u - 4. Let f = 51 - 57. Let j be o(f). What is the common denominator of -65/4 and (189/60)/3 - j/2?
20
Let d = -14620 + 935829/64. Let f = d - -169/192. Find the common denominator of f and -43/80.
240
Let f be (-4)/(-3)*48/(-8). Let i = f - -20. Calculate the lowest common multiple of ((-66)/(-77))/(3/56) and i.
48
Suppose -68 = 5*n - 348. Calculate the least common multiple of -1*22*(0 - 14/4) and n.
616
Find the common denominator of ((-13)/((-5720)/(-105)))/((-216)/(-156)) and 47/201.
35376
Let c be (40/3)/(84/126). What is the common denominator of 89/140 and ((-15)/c)/((-325)/20)?
1820
Let z be 26 - (-1 + (-2 - -2)). Let g = 888 + -878. What is the least common multiple of (g/6)/(15/z) and 3?
3
Let o = -1407/13 + 112703/1040. What is the common denominator of o and -77/640?
640
Suppose 2*q = -i - 138 - 80, 3*i - 2*q + 654 = 0. What is the common denominator of -29/27 and (0 + i/(-15))/(-9 + 13)?
270
Let o(j) = -2*j**3 - 4*j**2 - 6*j - 7. Let s be o(-4). Suppose -s*t = -84*t + 297. Calculate the least common multiple of 54 and t.
594
Let j(s) = -2*s**3 - 14*s**2 + 16*s + 173. Let r(x) = -11*x**2 + 46*x - 2. Calculate the smallest common multiple of j(-6) and r(4).
30
Let j be (-7)/5*-5 + 29130. Let l = 6060475/208 - j. Find the common denominator of -23/4 and l.
208
Let f be (-2 - 61)*4/(-6). Suppose z - 22 = -5*l, 6*l - f = -3*z + 3*l. What is the smallest common multiple of z and (4/(-6))/((-36)/1188)?
132
Let r = -120553/8460 - 1/4230. What is the common denominator of r and -53/564?
564
Let o = -985/9994 + -4480039/8135116. Let k = -3/37 - o. Calculate the common denominator of 65/6 and k.
132
What is the least common multiple of (-88 - -86) + (-1)/(1/(-156)) and 20?
1540
Let w = 21503170/53 - 1143632811/2968. Let x = w - 20400. What is the common denominator of x and 53/8?
56
Let v = -23992 + 1631357/68. Find the common denominator of v and -39/220.
3740
Suppose 97*g - 94*g = 5*z + 43, 3*z + 15 = 0. Calculate the least common multiple of g and 54.
54
What is the common denominator of 77/16 and (12/28 + 6948/56)/(-42)?
112
Suppose -16 + 65 = 7*n. Calculate the lowest common multiple of n and 11/1*(-144)/(-132).
84
Let u(h) = 11*h. Let n = 125 + -153. What is the least common multiple of u(2) and 14/(-4)*(3 - (-132)/n)?
66
Let u(x) = 10*x**2 + 92*x + 20. What is the least common multiple of 180 and u(-9)?
180
Let b be 3 - (0 - (-1440)/(-4)). Suppose 6*j + 93 = b. Calculate the lowest common multiple of 3 and (-8)/(j/(-105) - (-8)/(-14)).
24
Suppose 5*q - 109 - 161 = 0. Let g = 88 - q. Suppose 5 = -25*u + 80. Calculate the lowest common multiple of g and u.
102
Let i = 2779209 + -50057117/18. Let t = i + 1738. Calculate the common denominator of t and -107/54.
54
Let m = -85590271/960 - -1330894/15. Let x = m + 430. Calculate the common denominator of -67/80 and x.
320
Let v = 24 - -30. Suppose -12*k = -6*k - v. Let s = 5 + -4. What is the least common multiple of s and k?
9
Let d be (-1)/(2/(-5029)*(-11)/22). Let r = -14/1731 + -39082/19041. Calculate the common denominator of r and ((-25)/27 + 1)*d/(-214).
297
Let b(t) = -195*t - 300. Calculate the lowest common multiple of 609 and b(-6).
6090
Suppose -j + 0*m + 20 = m, 4*j = -3*m + 84. Calculate the lowest common multiple of -1 - ((-7)/2)/((-60)/(-120)) and j.
24
Suppose -2*c = -6, y + 2*c = -3*c + 16. Let i be (y + 1)*-33*5/(-10). Suppose 0*b + b - i = 3*j, -j = -b + 25. What is the lowest common multiple of 3 and b?
21
Let f(z) = -5*z - 9. Let p be f(7). What is the least common multiple of (-1*5)/(11/p) and ((-143)/(-39))/(1/6)?
220
Let w = 16069 + -15805. Calculate the lowest common multiple of 64 and w.
2112
Suppose -1274 = 8*u + 310. Let f = u + 2978/15. What is the common denominator of f and (-156)/(-260)*740/126?
105
Let j(p) = -6*p**2 + 29*p - 86. Let v(f) = -14*f**2 + 57*f - 172. Let d(y) = 7*j(y) - 4*v(y). Calculate the lowest common multiple of d(4) and 18.
630
Suppose 11*a + 86 = -1927. Let y = -173 - a. Suppose 9 + 23 = l + 3*w, -3*l - 5*w = -80. Calculate the smallest common multiple of l and y.
20
Let x be 3/(25/10 + -4). Let m be x/6 + 42125/126330. Let a = 214765/33688 - m. Calculate the common denominator of a and 29/24.
24
Let p(d) = -2*d**3 + 59*d**2 - 143*d + 234. Suppose -5*w - 40 = -w. Let u = 8 - w. Calculate the least common multiple of u and p(27).
18
Calculate the smallest common multiple of 2 and 4/22 + ((-116)/(-66))/((-82)/(-14268)).
306
Calculate the common denominator of (1*(-3)/(-1))/(70/(-190)) and ((-218)/30)/(((-40)/12)/(-5)).
70
Suppose -4*y = -2*y. Let a = 7 - y. Let j = 38714 + -38705. Calculate the least common multiple of a and j.
63
Suppose -15*x = 10954 - 11014. What is the least common multiple of x and 95?
380
Let w be 10/(-15) + 28/6. Calculate the common denominator of (6/(-54))/(w/195) and 19/6.
12
Suppose -4*d + 0*d - 12 = 0. Let s be d/(-2) + ((-26)/(-4) - 2). Suppose -30 = -s*n + n. Calculate the least common multiple of n and 106.
318
Let i = 4683 - 4553. What is the lowest common multiple of 29 and i?
3770
Let k = -26 + 40. Let d = -55813 - -55876. What is the least common multiple of k and d?
126
Let g(c) = c**3 - 13*c**2 - 17*c + 2. Let p be g(13). Calculate the common denominator of 51/20 and p/(-9) - (100/(-24) - -4).
20
Let o = -29 - -62. Suppose -5*q - 484 = -4*w - 3*q, 0 = 3*w - 5*q - 412. Calculate the s