. Suppose 15 = -2*f + f. Let r = f + m. What is the smallest common multiple of 22 and r?
264
Let v be (-153)/2703*128/(-6). Let i = -3226/477 + v. Calculate the common denominator of i and 15/188 + (-1)/4.
423
Let h = 158 + 518. Let k = 1319/2 - h. Let j = -30297/17314 + -18/787. What is the common denominator of k and j?
22
Let a = 22 - 13. Suppose -4*h + a*u - 6*u = -71, -2*u = 10. What is the lowest common multiple of h and 2?
14
Suppose 65*p = -9*p + 113*p - 6552. Let j = -10 - -40. What is the lowest common multiple of p and j?
840
Let t = -1/40073856 - -3853288265737/360664704. Let w = t + -10686. Find the common denominator of (-5)/(-5) + 41/6 and w.
54
Suppose d - 5 = -v, -2*v = 2*v - 5*d - 11. Suppose 3*m = v*g - 21, 5*m + 4 = -2*g - 5. Calculate the common denominator of m*(-1)/18 + (-1115)/210 and -30/7.
7
Let v(t) = 6*t - 117. Let f be v(21). Let i(k) = -k**2 - 6*k**2 - 6*k + 6 - k**2 + k**3. Calculate the lowest common multiple of 3 and i(f).
33
Let x(s) = -2*s**3 + 29*s**2 + 25*s + 380. Calculate the least common multiple of x(16) and 9330.
18660
Let w = 10131508213/764795524 + 1363/341122. Let n be (-2)/4*(-9)/3363. Let o = n - w. Find the common denominator of -7/18 and o.
36
Let a(d) = 77*d + 619. Calculate the smallest common multiple of a(1) and 145.
3480
Calculate the smallest common multiple of ((-2)/4)/(-3 - (-247)/76) + 3126 and 8.
6248
Let f = 277 - 214. Calculate the common denominator of (-18)/f - ((-725)/112 - -2) and 121/10.
80
Let t be 9/(-4)*(154/129 + -1). Let s = t + -2057/2580. Calculate the common denominator of -95/24 and s.
120
Let j = -76673/36 + 2128. Let q = 21967/545 + -45/218. Let l = -2833/80 + q. Calculate the common denominator of j and l.
144
Let v = -52 - -47. Let r = v + 3. Calculate the smallest common multiple of 9 and 7 + ((1 - r) + -3)/2.
63
What is the common denominator of (65/(-1950))/(3/(-305) - 0) and -53/54?
54
Let z(u) = -u**2 + 52*u - 257. What is the smallest common multiple of 1575 and z(38)?
17325
Let u = 176 + -175. Suppose -r + 3 = -5*c, -2*c = r + u - 39. Calculate the least common multiple of r and (-71)/(-4) + 11/44.
252
Let z(t) = -t**2 + 1144. Let k be z(0). Let f(s) = 3*s + 46. What is the smallest common multiple of f(-10) and 24/(-180) + k/30?
304
Suppose -358*d = -377*d + 152. Calculate the smallest common multiple of d and 776.
776
Let j = -51/236 - -7293/5900. What is the common denominator of j and -1/20?
100
Let u(l) = -3*l**3 - 11*l**2 + 4*l - 1. Let a be u(-4). Let f be 2 + (4 - -2)/a. What is the common denominator of -5/22 and 2/8*14/f?
88
Let d be 1*6*5/30. Let z(l) = 71*l + 4. Calculate the smallest common multiple of z(d) and 30.
150
Suppose 5*u - 4*r - 127 = 0, 4*r + 104 = 4*u + 2*r. What is the least common multiple of ((-3)/21*(-1407)/(-268))/((-2)/216) and u?
81
Let k be (-5)/2*(-36)/10. Let v = -1261 - -1267. Calculate the least common multiple of v and 12/k - (-6)/9.
6
Suppose -280 = -0*o + 7*o. Suppose j - 17 = 25. Let c = j + o. Calculate the lowest common multiple of 20 and c.
20
Suppose 0 = r + 2*u - 3*u - 1, 0 = 5*r - 2*u - 8. Let b be -7 - r*(-1 + (-4)/(-8)). Find the common denominator of -18 and ((-8)/(-15))/(b/80).
9
Suppose 0 = -3*r - 4*b + 98, -5*r - b - 3*b + 158 = 0. Let t = 20 - r. Calculate the least common multiple of 27 and (-106)/t + (-12)/20.
270
Suppose -13 = 3*i - 2*f - 0*f, 3*i - 5*f = -10. Calculate the common denominator of 0 - 49/(-154)*(-1 - i) and 0 + 1 + (-48)/(-7).
77
Suppose 0 = 3*r + r - 48. Suppose -w + n = 131, 0 = -3*w + 4*w - 2*n + 132. Let p = -122 - w. What is the least common multiple of r and p?
24
Suppose -63*r + 251904 = -30*r + 15*r. What is the least common multiple of 16 and r?
5248
Let n = -186 - -191. Calculate the common denominator of -2 + (0 - (-23)/(-11)) and n + (118/48 - 3).
264
Let p = 146 - 158. Let i(j) = -j**2 - 14*j - 21. Let w = 75 - 54. Calculate the lowest common multiple of w and i(p).
21
Let i be (-3)/(-9) - 266/6. Suppose 0 = 75*w - 68*w - 350. Let q = i + w. What is the lowest common multiple of 8 and q?
24
Let y = 120 + -183. Let v be 2/7 - y/(-49). What is the common denominator of v/21*-64 + -4 and 127/24?
168
Let z = 574 + -1064. What is the smallest common multiple of z/(-21)*(-3)/(-2) and 180?
1260
Let z(l) = l**3 - 5*l**2 + 4*l + 1. Let r be z(4). Calculate the common denominator of 115/(-12) + (3 - r) and 15 - 8780/336 - 30/(-5)*2.
84
Let f = 3505 - 3365. What is the least common multiple of f and ((-8)/(-10))/((-2)/(-10))?
140
Suppose o + 0*o = 154. Calculate the lowest common multiple of o and ((-47)/(-47) - 3) + 114.
1232
Calculate the common denominator of -19/1365 and 1162/70*(-4)/(-156).
1365
Let z be (-3 + 1 + 1)*1/(-31237). Let l = z - 1249557/2405249. What is the common denominator of l and 59/49?
539
What is the common denominator of (-7)/14 + 575/902 + 13/(-104) and -29/164?
3608
Let i = -685 + 421. Let v = i - -286. Suppose -3*p + 84 - 24 = 0. What is the least common multiple of p and v?
220
Let u(h) = 3*h + 1. Let j(k) = 39. Let l(n) = -j(n) + 6*u(n). What is the least common multiple of l(3) and 12?
84
Let k(o) = 3*o**2 - 9*o + 2. Let y = 61 + -41. Suppose -19*z = -y*z + 6. What is the least common multiple of 14 and k(z)?
56
Suppose 4 = -8*q + 9*q. Suppose q*v + 2*i = 2 + 24, i - 1 = v. Suppose -a + 59 = v*k, -2*k - a - 3*a = -26. Calculate the least common multiple of 12 and k.
60
Let q = 166 + -100. Calculate the least common multiple of 840 and q.
9240
Let r = 33917036/183015 + -15385/83. What is the common denominator of r and 26/3087?
15435
Let k be (-215317)/313536 - (-46)/(-529). Let i = -59/71 - k. Find the common denominator of i and -33/8.
192
Let t(y) = 125*y + 141. What is the smallest common multiple of 7912 and t(-1)?
15824
Suppose 6*g - 2 = 10. Let z be (15/(-6))/(1/g). Calculate the least common multiple of 24 and (0 + z)*36/(-5).
72
Let r(o) = 5*o**2 + 1. Let a be r(-1). Suppose -20*w - 12 - 5 = 43. Let f = a + w. Calculate the smallest common multiple of 7 and f.
21
Find the common denominator of (-1*(-365)/(-80))/(((-126)/3)/6) and -143/42.
336
Let x be (1/8*-14)/((-2)/96). Suppose 5*n = -2*a + 398, -3*n + x = -2*n - 4*a. Calculate the lowest common multiple of n and 16.
80
Let i = 4702431907/5724 + -821529. Calculate the common denominator of 89/3816 and i.
11448
Let y(d) = 760 + 5*d**2 + 6*d - 3*d - 758. Calculate the lowest common multiple of 40 and y(-2).
80
Let s(h) = 336*h - 1335. What is the lowest common multiple of s(4) and 7117?
64053
Let m = -7905/772 + -2/193. What is the common denominator of 10/82 + -1 - (-13 + 13) and m?
164
Let i(r) = -r**3 + 4*r**2 + r - 5. Let p be i(4). Calculate the common denominator of (-30)/(-4)*(-4)/(-21) and (60 - (p - (0 - -1)))/4.
14
Suppose 6*r + 439 = 1327. Suppose 4*d - r = -5*p, -3*p + 5*d + 53 = -58. What is the lowest common multiple of 4 and p?
32
Let h(l) = -43 + 22*l + 21 - 54 - 7*l. Find the common denominator of 131/6 and h(7).
6
Suppose -4*b = -2*l + 132, 0*l + 3*l - 189 = 3*b. Suppose l = 4*h - h. What is the lowest common multiple of 14 and 5/10*h + 4?
14
What is the common denominator of -94 + 73 + 8049/390 and 5/1963?
19630
Calculate the least common multiple of (8 - (45/10 + 6 - 2))*-3564 and 81.
1782
Let i = -11631 - -11658. Calculate the smallest common multiple of 891 and i.
891
Let p be 4/(-6) - 11/(198/(-48)). Suppose -5*v = -p*v - 12. Suppose 5*n = -5*f + 360, n - 300 = -3*n + 2*f. What is the lowest common multiple of n and v?
148
Suppose -3*l + 45 = 3*w, -l + 40 = w - 5*l. What is the smallest common multiple of 3 - (-6)/((-6)/(-49)) and w?
260
Let g = 2083894 - 5703617943/2737. Find the common denominator of 24/17 and g.
2737
Let a(m) = -m**3 + 5*m**2 + 9*m - 9. What is the smallest common multiple of 3/(-5)*1 + (-24 - (-3996)/135) and a(6)?
45
Suppose 47 = 4*u + 5*k, 41 = 4*u - 4*k + 7*k. Suppose -5*n - 63 = -u*n. Suppose h = 10 + 2. Calculate the lowest common multiple of n and h.
84
What is the common denominator of (3/48*-21)/(35/28) and 2/(-15) - 724/(-240)?
60
What is the common denominator of 61/112 and 198/30 + -7 - (-5)/(-70700)*-4866?
11312
Let g = -355 - -358. Let w(r) = -3*r**2 + 3*r + 5. Let c(k) = 7*k**2 - 5*k - 9. Let q(y) = 4*c(y) + 9*w(y). Calculate the least