0 = 4*r - 3*z + 6711, 4*r - 4*z = -5798 - 918. What is the least common multiple of 15 and (-2)/(-7) - (-4 - r/(-21))?
420
Let i = -176 + 202. Suppose -j = -i + 2. Suppose -3*q = q - 12. Calculate the least common multiple of q and j.
24
Calculate the common denominator of (-8)/((-40)/(-3)) + (-5019)/11760 and 71/182.
1456
What is the common denominator of 67/336 and 7/(-10)*135/(-756)*37/(-2)?
336
Let n(q) = -q**3 + 19*q**2 - 18*q + 16. Let m be n(18). Suppose 0*s + 2*s - m = 0. Let c = -2 + 42. Calculate the lowest common multiple of c and s.
40
Let a = -5187 + 726189/140. Calculate the common denominator of a and -2/133.
2660
Suppose -3*o - 43 + 67 = 0. Let l(d) = -d**2 + 11*d - 6. What is the least common multiple of 57 and l(o)?
342
Let z = 1291329/38 - 33980. Calculate the common denominator of z and -25/14.
266
Let h = -72 - -63. Let l be 6/h*90/(-4). What is the lowest common multiple of 175/l - (-1 - (-4)/6) and 9?
36
Let g be ((-24)/(-28))/(1/14). Let r(h) = -h**2 - 2*h + 7. Let l be r(-3). What is the least common multiple of 16 and l*3/g + (-2 - -7)?
48
Let p = 4/1743 - -102749/38346. Calculate the common denominator of p and (-3283)/356 - (-27)/3.
3916
Let g = 3033 + -3025. Calculate the smallest common multiple of 818 and g.
3272
Let r = 2600947761/920 + -2827119. Let t = 581/8 + -66821/920. Let p = t + r. Find the common denominator of 17/6 and p.
24
Suppose -4*r = -4 + 20, -4*o + 108 = -4*r. Calculate the lowest common multiple of o and 18/(11 + -16 + 7).
207
Let r = -48019 - -4898039/102. Find the common denominator of ((-27)/(-1020))/((-8)/18 + (-121)/(-252)) and r.
510
Suppose 3*c - 21 = 45. Find the common denominator of -5*(-17)/c + 1 and (-11818)/(-1476) + (-22)/(-451).
198
Suppose 0 = 7*d - 8 - 34. Find the common denominator of d/8 + 10/(-60) and (65/22)/(-7 - (-121)/22).
132
Let a = 6725/3 + -11116427/4959. Calculate the common denominator of -34/81 and a.
44631
Let u = -29415/2 - -14746. What is the common denominator of -17/18502 and u?
18502
Let r(o) = 473*o + 387. What is the lowest common multiple of 3 and r(12)?
6063
Suppose 0 = 103*l - 419*l + 274920. What is the least common multiple of l and 1885?
11310
Suppose 5*b = -4*x + 10*b + 526, -398 = -3*x + 2*b. Let l = 1865/14 - x. Let v = 17039/738148 - 1/6772. Find the common denominator of v and l.
1526
Suppose -14*v = -10*v + 12. Suppose 0*r - 6 = -2*r. Calculate the lowest common multiple of 1 + -1 + r - v and 2.
6
Let w = -223246/27 - -8270. Calculate the common denominator of 4/11 and w.
297
Calculate the common denominator of 1/28 and (-2)/(-5)*55/209 - 1966/(-456).
84
Let i = 14958 + -10036814/671. Let q = i + 20681/20130. Calculate the common denominator of -43/42 and q.
210
Let u = 1797717 + -11769653149/6547. Find the common denominator of u and -27/10.
65470
Let t be (-56)/28*1/(-2). Suppose 2*j + 2 = 3*j. What is the smallest common multiple of j and 3/((-6)/(-38)) + (t - 4)?
16
Find the common denominator of ((-25)/(-30))/((-3886)/(-1876)) and ((-2)/(-24))/((-15)/(-515)).
1044
Suppose -10*s = -19*s + 315. Suppose -s*j = -63*j + 3360. What is the least common multiple of 27 and j?
1080
Suppose 22*f + 11*f - 23814 = -9*f. What is the least common multiple of f and 119?
9639
Let n = 22 + -18. Suppose -5*b - 2*j = -4, -3*j - 5 = n. Suppose 4*w - b*w - 22 = -2*h, 0 = 4*w - 3*h - 30. Calculate the smallest common multiple of 2 and w.
18
Let w = -158812/19 - -8361. Calculate the common denominator of 47/38 and w.
38
Let f(o) = -1 - 2*o**2 - o**3 + 7*o**2 + 3*o**2 + 16*o - o**2. Let d be f(8). Suppose -d = -14*s + 5*s. Calculate the lowest common multiple of s and 6.
42
Let g = -50317/6 - -8377. Find the common denominator of g and 2*(-7)/((-21)/5).
6
Let t be (2 - (-18172)/8)*-2. Let d = 54491/12 + t. Let j = 86153/22 + -3918. Calculate the common denominator of j and d.
132
Suppose -160*x + 0*x = 488*x - 3563352. Calculate the least common multiple of x and 48.
87984
Let r = 298667/20 - 2268973829/151940. What is the common denominator of r and -45/22?
167134
Let q(g) = 226*g - 3033. Calculate the lowest common multiple of 30 and q(21).
17130
Let u(p) = p**2 + 5*p + 7. Let f be u(-3). Let x be (-105689)/(-4)*(-3 - f)/(-12). Let h = -8802 + x. Calculate the common denominator of h and 1/12.
12
What is the smallest common multiple of 224 and (14 + (-168)/15)/((-3)/(-1140))?
4256
Find the common denominator of (16 + 204/(-96))/(54/8) and 75/374.
3366
Calculate the common denominator of 37/3208 and 39355/(-11112) - (2*(-9)/6)/1.
9624
Let n(f) = 2 - 70 - 14*f + 22*f. Let g be n(6). What is the common denominator of -79/12 and (-30)/g - 26/(-6)?
12
Calculate the common denominator of (-1)/(-180)*(-5800)/(-64) + (3 - 4) and -127/384.
1152
Suppose 3*m - 60 = -m + 3*c, -5*c + 4 = 2*m. Suppose 5*k + 71 - 36 = 0. What is the least common multiple of m and k + 27 + 0/1?
60
Let a = 46/599 - 36723/2396. What is the common denominator of (-2)/(0 - 4)*-13 and a?
4
Let m = 210 + -1009. Let q = -587 - m. What is the least common multiple of 36 and q?
1908
Let k = -6476414634721/225700 - -717370632/25. Let y = 1989/61 - k. What is the common denominator of y and 39/22?
1628
Let l(m) = 4*m**2 - 102*m + 1062. Calculate the smallest common multiple of l(12) and 276.
828
Let m = 2001/9625 + -93/154. Find the common denominator of m and -9/400.
2000
Suppose 48 = 2*c - 3*c. Let p = 38 + c. Find the common denominator of (-3 - 69/(-24))*(-228)/p and 9/14.
140
Let q(h) = 71*h - 1918. Calculate the smallest common multiple of q(29) and 156.
7332
Suppose -303 = -h - 4*g, 3*h - 866 = 4*g + 107. Calculate the smallest common multiple of h/8 - 6/(-48) and 40.
40
Let r(p) = p**2 - 2*p + 7. Let g be ((-54)/36)/((-2)/36). Let o = 43 - g. Calculate the lowest common multiple of o and r(13).
1200
Let x(i) = 100*i**2 + 776*i + 12. Calculate the least common multiple of x(-8) and 782.
4692
Let i = 14/16561 - -1371483/3643420. Find the common denominator of i and 117/100.
1100
Let c = -1/19975 - -451567/2636700. What is the common denominator of c and -76/99?
1980
Find the common denominator of (43/(-58) + 1)*-7 and (-2 + (-54)/(-10))*(-975)/(-234) - 2.
174
Let r = 28660/3 + -2837390/297. Find the common denominator of 73/18 and r.
594
Find the common denominator of 2/(-4) + 3346/2688 and -47/30.
960
Suppose -2024 = -14*q - 8*q - 1716. Calculate the least common multiple of 542 and q.
3794
Calculate the smallest common multiple of 603 and (-4)/(-5 + (-45195)/(-9045)).
1206
Let s = 526 - 553. Find the common denominator of (-5 + (-85)/(-75))/(144/s) and (-6)/4*(-37)/(-6).
40
Let z(s) = -26*s - 2. Let v be z(-5). Find the common denominator of 3*(-4)/108*8 and 4/(-3)*((-3724)/v)/7.
72
Let d be (417447/50)/(54/45). Let o = -6959 + d. Calculate the common denominator of 49/40 and o.
40
Let k be 2725/(-6)*(-3 + (-6734)/104). Let z = -39896 + 70672. Let c = z - k. What is the common denominator of c and -62/33?
264
Let s(w) = -w**3 + w**2 + w. Let v be s(0). Suppose -4*d - 3*z = -v*d - 44, -2*z + 11 = d. Calculate the lowest common multiple of d and (-1 + -4)/((-160)/352).
11
Let t = 1578 + -1575. What is the smallest common multiple of t and 51?
51
Suppose 4*o = 2*a - 720, 5*a + 504 - 120 = -2*o. Let j = 186 + o. Calculate the least common multiple of j and (-12)/(2 - 3) - 2.
20
Calculate the smallest common multiple of 3707 and 25275/(-50)*(104/24 + -5).
3707
Find the common denominator of -67/6 and 4472/(-1677) + (-29146)/(-10940).
16410
Let v = 20091 - 1265813/63. Calculate the common denominator of 1/1743 and v.
5229
Let f(d) = 2*d**2 + 12*d - 99. What is the least common multiple of (16/28)/((-4)/(-14)) and f(-11)?
22
Suppose g = -5*w - 3119, -4*w = -2*w + 2*g + 1246. Let c = 634 + w. Calculate the smallest common multiple of c and 20.
20
Let b = -74012 + 5328743/72. Calculate the common denominator of b and 53/360.
360
Let t = 8346/35 + -554861/2310. Find the common denominator of t and (153/24)/17*392/54.
198
Let o = -15600 + 15664. What is the lowest common multiple of o and 88?
704
Suppose 2*i + 61 = 25. Let x = 23 - 21. What is the least common multiple of 2 and (-2*1 - x)/(9/i)?
8
Suppose -1198 = 4*z + 2*g, 1195 = -4*z - 2*g - g. Let n be -2*((-84)/(-24) + 1). What is the common denomin