2) - (327 + 0). Let x = 147 + -145. Find the common denominator of 23/4 and (x/8)/((-5)/b).
4
Let c(a) = a**2 + 12*a - 17. Let r be c(-13). Let g be r/1 + (-13 - 52). Let x = g - -137. What is the lowest common multiple of x and 20?
340
Let d be (39/6 - 8)*(-64)/6. Suppose 6*i - d*i = -110. Calculate the smallest common multiple of 255 and i.
2805
Let c = 1/103179356 - -1480159444133/759915956940. Let g = -42/491 - c. Calculate the common denominator of -31/105 and g.
210
Suppose -56*d + 1067 + 2893 = 304*d. What is the smallest common multiple of d and 1225?
13475
Let w = 12100 - 11980. Calculate the least common multiple of 1368 and w.
6840
What is the common denominator of -91/435 and (2 + (-3791)/1885)*(-3 + 2)?
5655
Let g = 20665 - 578511/28. Find the common denominator of g and 3 + 1 + 2*1146/(-336).
28
Suppose 110*j - 109*j = 2*i - 93, -3*i = -3*j - 135. Calculate the smallest common multiple of 108 and i.
432
Let t be ((-2)/(-8))/(32/256). Suppose 0 = -3*s - 2*f + 58, 6 = s + 6*f - t*f. Let z = 29 - 19. Calculate the lowest common multiple of s and z.
110
Let o = 32 + 3. Suppose 3*r = 15, 5*u + 0*r - 3*r = o. Find the common denominator of (-93)/u + 14/35 and -107/10.
10
Suppose -61*v = -21*v - 1640. Suppose -24*d + v = -175. Let u(a) = 7*a - 2. Calculate the lowest common multiple of d and u(2).
36
Suppose -6*p + 86 = 8. Suppose 5*x - 5*t = 3*x - 4, 0 = -x + t + 4. What is the smallest common multiple of p and x?
104
Calculate the common denominator of 41/770 and ((-6)/(-18) - 273/825)/((-12)/(-815)).
6930
Let y be (2/(-30))/((-5)/(-15)). Let h = -31/45 + y. What is the common denominator of h and -55/26?
234
Find the common denominator of 103/1080 and 150/(-90) - (-7007)/4200.
5400
Suppose 12 = 4*o + 8. Suppose t = 5*t - 36. Let v = t + o. Calculate the lowest common multiple of v and 10.
10
Suppose -3*z + 58 = 5*m, 5*m + 5*z = 40 + 20. Let v be (-66)/(-9) + 12/18. Suppose -l - v = -5*l. What is the least common multiple of l and m?
22
Let q = -6476/1161 - -18561679/3882384. Let g = 41/304 - q. Find the common denominator of g and -77/16.
176
Let x = -636382/231 - -8264/3. Let w = -30302 - -2121281/70. Find the common denominator of x and w.
770
Suppose -3 = f - 10, -3*d - 4*f + 964 = 0. What is the least common multiple of 1326 and d?
5304
Let t = -260 - -261. Calculate the least common multiple of 16 and -92*1/(-6)*(4 - t).
368
Calculate the common denominator of 23/16 and (39/36 + -1)*((-1519)/(-168) + -4).
288
Suppose -g = -4*v - 32, 41 = -30*g + 31*g - 7*v. What is the least common multiple of 8030 and g?
16060
Let w = -143389/6 - -23884. Calculate the common denominator of w and -49/33.
66
Let x be (-58)/(-3) - 46/(-69). Calculate the common denominator of 87/8 and (-24)/x - 178/(-60).
120
Let f(h) = -2*h + 25. Let a be f(10). Find the common denominator of 5 - (327*4/216 - a) and 1 + (-4)/(396/15).
198
Suppose 16*s - 44 = -6*s. Suppose 2*w = s*z - 14, -5*z - 25*w + 53 = -21*w. Calculate the lowest common multiple of z and 8.
72
Suppose 111*n = 30*n - 61317. Let g = 777 + n. Suppose 2*l + 81 = 5*l - 3*i, -143 = -5*l - 3*i. What is the least common multiple of g and l?
140
Calculate the common denominator of 30/7*65/728*-7 and 85/8.
56
Suppose 150 = -13*w + 18*w. Find the common denominator of ((-34)/(-30))/(4/70) and (-1641)/924 + (2 - w/21).
132
Let k(y) = y**2 - 22*y - 196. Calculate the lowest common multiple of k(-8) and 22.
44
Let r = -11779/90 - -1096/9. Calculate the common denominator of -43/3415 and r.
6830
Let w = 833 + -17483/21. What is the common denominator of (-1395)/93 - (-25)/3 and w?
21
Let i = 17451 - 523619/30. Let m = -23648827/156 - -151596. What is the common denominator of m and i?
780
Suppose 56*x = 459 + 157. Calculate the least common multiple of 717 and x.
7887
Let u(b) = -10*b**3 + 381*b**2 + 26*b - 101. What is the smallest common multiple of u(38) and 2849?
25641
Let z(q) = -197*q - 64. What is the lowest common multiple of 6 and z(-2)?
330
Calculate the lowest common multiple of 11258/24 + 1/(-3) + 474/(-632) and 36.
468
Let x = 6510985/5846748 - 1750/1537. What is the common denominator of 48/5 and x?
19020
Let l = -1 + 4. Suppose 11 = l*g - 5*j, 0 = g - j + 3*j. What is the common denominator of -7/10 and g/(-6) - 26/228?
190
Let f = 286 - 216. Suppose 0 = -2*o + 3*x + 27, 4*x - 167 + 42 = -5*o. Calculate the least common multiple of f and o.
210
Let p(l) = l**3 + 7*l**2 - 10*l - 22. Let t be p(-8). Let y(s) = -6*s - 28. What is the lowest common multiple of y(t) and 16?
16
Let q = 1257/8 - 4063/24. Let u = -843039 - -5058127/6. Calculate the common denominator of q and u.
6
Let i = -2104/89847 + 25/2682. Calculate the common denominator of i and -81/1072.
9648
Let c(s) be the first derivative of 27*s**4/4 + s**3/3 - s**2 + 15. Let r be c(1). Suppose -r - 46 = -12*w. What is the smallest common multiple of w and 36?
36
Let s = 81541616/529 + -154143. Calculate the common denominator of s and 31/138.
3174
Let p be 9/22 + 7/(-14). Let o = p - -302/55. What is the common denominator of o and 1 - (7 - 329/(-21))?
15
Let f(p) be the first derivative of 2*p**3/3 + 3*p**2/2 + 4*p - 124. Calculate the least common multiple of 8 and f(-2).
24
Let x = -28725/19 + 1513. Calculate the common denominator of x and 3487/616 + (-6)/16.
133
Let q = 4755 + -109285/23. Let c = q - 1553/506. Let h = 45/89 - 2417/2492. Calculate the common denominator of h and c.
308
Let y be 4*(-33)/(-12)*239/1. What is the common denominator of y/(-1089) - -1*6/(-27) and (-51)/(-15) + 1/(-2)?
110
Let j be -4 + 19815078/(-594) - 2. Let t = 33365 + j. Find the common denominator of 12/121 and t.
1089
Let d(i) = i**2 + 8*i + 7. Let m be d(-7). Suppose 4*p + f = -45, 2*p + m*f = 4*f. Calculate the least common multiple of (8/p)/(10/(-75)) and 3.
6
Suppose -440 = 3*o - 4*b, -o - 3*b = -2*b + 142. Let g = o - -154. What is the lowest common multiple of g and 45?
90
Suppose 47*d = 38*d + 27. Let g = -12 + 12. Suppose 3*v = -p - 39 + 202, g = -4*v - 3*p + 214. Calculate the least common multiple of d and v.
165
Let y = 686 - 392. Suppose -12*o + 210 + y = 0. What is the lowest common multiple of o and 138?
966
Suppose -2*n - 4*u = -3*u - 379, 925 = 5*n - 5*u. What is the smallest common multiple of 16 and n?
752
Find the common denominator of 47/622 and ((-90)/(-469))/((2112/(-168))/22).
41674
Suppose -5*i = -9*i + 34096. Let s = i - 332396/39. Find the common denominator of s and -25/6.
78
Suppose -301 = 4*f + 583. Calculate the common denominator of (-9)/(-27) - (-2 - f/(-12)) and 109/52.
52
Suppose 0 = 79*s - 103*s + 3120. Calculate the lowest common multiple of s and 234.
1170
What is the least common multiple of 119 and (-85)/(-17) + 3/(0 + -1)?
238
Let r(h) = -2*h**2 + 13*h - 9. Let n be (-1 + -29)/(-5) - 0. Let f be r(n). What is the least common multiple of (-16)/f*(-3)/(-2) and 4?
8
Suppose -8 = -2*j - 2*j. Suppose 47 = 7*l - v, 5*l = 3*v + 3 + 26. Calculate the least common multiple of j and l.
14
Let u = -10/4259 - 335961/212950. What is the common denominator of 107/20 and u?
100
Suppose g + 5*f - 425 = 0, 4*g + 47*f - 1570 = 53*f. What is the lowest common multiple of g and 8600?
17200
Let j = 118 - 14. Let k = j - 98. Suppose h + k*g - 16 = g, 2*h = g + 10. Calculate the smallest common multiple of 8 and h.
24
Suppose k = -3*s + 4, 3*s - 2*k - 14 = 2*k. Let t be 1 - (s + (-657452)/80). Let a = 8212 - t. Calculate the common denominator of -101/4 and a.
20
Let i = 29 + 2. Suppose -i = -j - q, -4*j - 2*q - q + 126 = 0. Suppose -j = -3*t + 69. What is the least common multiple of 16 and t?
272
Let x(l) = l**2 + l. Suppose c - 48 = -12. Calculate the smallest common multiple of (-330)/(-9) - (-6)/c*-4 and x(-5).
180
Let l(u) = 4*u + 10. Let y be l(-4). Let c = y - -6. Suppose c = b + 3*b - 120. What is the smallest common multiple of 27 and b?
270
Let f = -2878/12847 - 1314954269/231246. Let s = f - -5681. Calculate the common denominator of -11/12 and s.
36
Let b = 581 - 583. Find the common denominator of 95/42 and b + -3*327/(-189).
42
Let n = -846 - -1220. Let r = 716 - n. Find the common denominator of r/(-160) + -2 + (-44)/(-20) and -33/10.
80
Let o = -13683 - -15825. What is the lowest common multiple of 168 and o?
