7/282. Find the common denominator of -157/30 and s.
30
Suppose -12*r - i + 270 = -9*r, 3*r - 4*i - 270 = 0. Calculate the least common multiple of 90 and r.
90
Suppose 672 = -10*q - 668. Let y = 148 + q. What is the smallest common multiple of y and 16?
112
Suppose 0 = 4*f + 16, n + 7*f = 2*f - 7. Suppose t - 10 = n*r - 9*r, 0 = -3*t + 4*r + 70. What is the lowest common multiple of t and 54?
270
Let f = -47 - -46. Calculate the common denominator of -45/11 and (-592)/999*f/(-10).
1485
Let k(b) = 14*b**3 - 9*b + 8. Let v be k(3). Let d = v - 347. Let z(s) = -s**2 - 12*s - 2. What is the smallest common multiple of d and z(-5)?
132
What is the common denominator of (-5)/(80/(-154)) - 39/(-78) and 103/5104?
5104
Suppose 514 - 1046 = -13*u + 1743. Calculate the smallest common multiple of 155 and u.
5425
Let t be 101364/10605*-8 + -3. Let r = -46/707 - t. Let d = r - 8379/110. What is the common denominator of d and 73/22?
22
Let d = 5917/136 - 1/136. Let o(j) = j + 8. Let z be o(-9). Calculate the common denominator of 4/16*(-70 + z) - -2 and d.
4
Let v = 86 - 26. Suppose j = 4*s - v, 3*s - 38 = -0*s - j. Calculate the lowest common multiple of 138 and s.
966
Suppose 5*s + 6 + 4 = 0, 0 = -r + s + 38. Let b(x) = 2*x**3 - x**2 - 3*x + 2. Calculate the least common multiple of b(2) and r.
72
Suppose -a + 22 = o - 6*a, -215 = -5*o + 4*a. Find the common denominator of 5/274 and (-9)/20 - (-49 + o).
2740
Suppose -l = -4*y + 2397, -7*y + 2*y - l + 3003 = 0. Calculate the least common multiple of 500 and y.
3000
Let r(l) = -4*l**2 - 14*l - 6. Let g(a) = 48*a + 1 - 3*a**2 + 4*a**2 - 47*a. Let c(h) = -2*g(h) - r(h). What is the least common multiple of 4 and c(-6)?
4
Suppose k - 60 = 4*r - 215, 185 = 5*r - 3*k. Suppose -4*i + 124 + 167 = -5*h, -369 = -5*i + 7*h. What is the lowest common multiple of i and r?
320
Find the common denominator of 91/1584 and 7/25*72/(-3456).
39600
Suppose 193*m + 27426 = 73167. Calculate the smallest common multiple of m and 624.
49296
Let m = 534 - -438. Let d = 32069/33 - m. Find the common denominator of 124/30 + 7/(-22) + 2/(-11) and d.
330
Calculate the common denominator of (3/(-4))/((-84)/(-30))*(-1836)/(-1190) and -67/686.
1372
Let d = -86 + 209. Suppose 9*z = 39 + d. Let l(h) = -2*h - 11. Calculate the smallest common multiple of l(-8) and z.
90
Suppose 9*d - 12*d - 69 = 0. Let y(a) = a**2 + 22*a + 1. Calculate the smallest common multiple of y(d) and 33.
264
Let t(b) = -12*b**2 + 24*b - 26. Let l be t(-24). Let q = l + 165265/22. Find the common denominator of (-1)/4*148/(-10) and q.
110
Suppose -10*u - 3 = -13*u. What is the common denominator of -5/66 and u*(6 + -5) + 17/30?
330
What is the common denominator of -61/14 and (-3537)/(-1766) - (-15 - (10 + -10 + -17))?
12362
Let f = -20 - -14. Let m be -7 - 1/((-3)/f). Calculate the common denominator of -41/18 and (-7)/(-882) + 2/m.
126
What is the common denominator of (600/102 - 6) + (-302160)/(-2593792) and -145/6?
28608
Let q(l) = 4*l + 0*l + 9*l**2 - 5*l**2. Suppose -54032 = 21*h - 54095. Calculate the smallest common multiple of q(-3) and h.
24
Suppose -8*r = -9*r - 1171. Let y = r + 836. Find the common denominator of (5 - 69/15)/((-8)/y) and 29/6.
12
Let k = 429553 - 429373. Suppose -12 = -5*n + 108. What is the least common multiple of k and n?
360
Calculate the common denominator of (-114994)/(-6780) + -4 + (-4 - 9) and 16.
3390
Let c = 5303812/2805 + -18909/10. What is the common denominator of c and 32/51?
1122
Let a = -557/2 - -250. Let u = -237 + 43. Find the common denominator of (-2)/(-9) - u/297*3 and a.
22
Let x = 397056989/660 + -9204376/15. Let w = x - -12023. Let j = 1013 - 4087/4. Calculate the common denominator of w and j.
44
Suppose 0 = -2*k - 4*y + 760, 18*y = 3*k + 19*y - 1135. What is the smallest common multiple of k and 270?
1890
Let a = 26141/12 + -2180. Calculate the common denominator of a and -9*(-7)/567*(-6)/(-20).
60
Let g = 116 - 115. Let p(v) = -18*v + 26. What is the least common multiple of 4 and p(g)?
8
Let u be 513/108 - 1/(-4). Suppose u*m - 12 - 13 = 0. What is the common denominator of -107/18 and (3/15)/((-23)/(-5) - m)?
18
Suppose 4*n = -4*d + 380, 3*n + 2*d = 4*d + 305. Calculate the common denominator of 1/6 - n/30 and 137/12.
60
Let r = 606825557/654 - 927868. Calculate the common denominator of r and 101/14.
4578
Find the common denominator of 14007/2583 + 36/(-27)*(-9)/(-2) and -29/15.
615
Let b = 325400 + -3258373/10. Let m = -2156/5 - b. Calculate the common denominator of 1*5 - 558/(-744) and m.
20
Let v be (-22)/(-99) - (-60200)/45. Suppose 52*y - 326 = v. Calculate the lowest common multiple of y and 72.
288
Suppose 3*y = 4*i + 914, -y + 2*i = -3*i - 290. Find the common denominator of y/(-30)*(-9)/2 and -25/19.
38
Let s(m) be the third derivative of 7*m**5/60 + m**4/4 + 7*m**3/6 - 49*m**2. What is the lowest common multiple of s(-1) and 12?
24
Let n = 20/79 + -22119/87058. Let s = n - -5240/6061. Calculate the common denominator of s and -77/18.
198
Let u = 6113/48 + -255/2. Calculate the common denominator of u and 167/1020.
4080
Let c = 1741 + -3326. What is the common denominator of (8 - c/(-200))/(2/(-145)) and 107/36?
144
What is the common denominator of (1/6)/((220/(-232))/5) and 168/44 - 4 - 2674/660?
330
Let i(d) = -d**3 + 18*d**2 + 70*d - 67. Calculate the smallest common multiple of i(21) and 90.
720
Suppose -5*n - 5 = -55. Suppose -t + 3*t = 3*c - 24, 0 = -t + c - n. Calculate the least common multiple of 8 and -4*11/t - (-4)/6.
8
Suppose 0 = -0*v + 4*v - 24. Suppose v*k = 12 + 24. What is the smallest common multiple of k and 16?
48
What is the common denominator of -17 + 8 + 179331/19964 and -69/1612?
11284
Suppose -50*z - 470 + 5321 = 27*z. What is the smallest common multiple of z and 414?
2898
Let o be (3/1 - 3) + 24. Suppose -34 + o = -k. Suppose 2*i = 34 - k. Calculate the lowest common multiple of 54 and i.
108
Let a(g) = -g**3 - 10*g**2 + g + 12. Let v be a(-10). Find the common denominator of 3 + v/(160/(-735)) and -85/96.
96
Let u = 27663 - 27651. Let m = -1 - -3. Let a = 8 - m. What is the lowest common multiple of u and a?
12
Let d be 4/(-14) + 45/35 - 31. Let o = -1413/280 - 59/56. Calculate the common denominator of 500/d + 12 - (0 + 5) and o.
30
Suppose 2*p - 42 = 3*y, -5*y - 71*p = -73*p + 66. What is the common denominator of 3978/(-693) + y/22 and 83/8?
56
Suppose 0 = 4*g + 16 - 128. Let u = -20 + g. Let b(s) = -5*s**2 - 1144*s - 14832. Calculate the lowest common multiple of u and b(-215).
24
Let u = 10/491 - -7205/7856. Find the common denominator of u and 7/3656.
7312
Suppose -261 = -3*i - 13*m + 10*m, 3*m = -5*i + 447. Calculate the least common multiple of 330 and i.
10230
Suppose o + 6997 = -5*g - 6308, -2*g = -5*o + 5322. Let p = g + 16067/6. What is the common denominator of p and (-2)/((-1 + 98/66)/(-3))?
24
Suppose 0 = -5*z + 8*z + 18. Suppose -4*q + 41 = -3*o, q - 5*o - 9 = -3*o. What is the least common multiple of q and (-104)/(-6) - (z + 19/3)?
187
Suppose -4*y - 5*z + 1286 = -1885, -y + 798 = 2*z. Calculate the lowest common multiple of 12 and y.
2352
Let m = 669741834996699/485516 - 1379443386. Let d = 2053986223/381615576 + m. Let k = 47/524 - d. Find the common denominator of -9/20 and k.
120
Let l = 581 + -761. What is the least common multiple of 48 and (l/135)/((-1)/99)?
528
Suppose 0 = 237*d - 238*d - 209. Let z = 236 + d. Calculate the least common multiple of z and 54.
54
Let z be 0 + 1*-62 + (-7)/7. Let p be (36/(-42))/(1/z). Calculate the smallest common multiple of 6 and ((-2)/(-1))/(9/p).
12
Suppose -21*p = -24*p + 15. What is the common denominator of (0 - p/4)*858/(-1755) and 0/2 + (-58)/6?
18
Let c(y) = y**2 + 7*y + 8. Suppose 8*s = 9*s + 7. Let i be c(s). Calculate the common denominator of (29/i)/((-3)/(-36)*-4) and -7/6.
24
Let n(q) = 223*q + 11. Let z be n(1). Let f = 380 - z. What is the smallest common multiple of f and 22?
1606
Calculate the common denominator of -79/256 and (-1257)/(-1440) + (-6)/(144/20).
3840
Let o = -883411/15 + 58917. Let h = o - 48/5. What is the common denominator of -89/8 and h?
24
Let q = 18585 - 17343. Calculate the least common multiple of 12 and q.
2484
Let x = -91 + 94. What is the lowest common multiple 