= -3*z, 0 = -3*n - 3*z + 27. Suppose -n*a + 14 = -58. What is the least common multiple of a and 40?
360
Let t = 5695886623/3778 - 1507646. What is the common denominator of 81/10 and t?
18890
Let o be (3 - 30/12)*76. Suppose -4*u + o = w, 10*u = -3*w + 5*u + 135. What is the least common multiple of w and 11?
550
Let r = 288340987/2746 + -105004. Find the common denominator of -49/5 and r.
13730
Find the common denominator of (0 + (-2)/(-885))*(-2556)/568 and 43/55.
3245
Let k be 38*(0 + 7/(-14)). Let w = -103/4 - k. What is the common denominator of w and 47/30?
60
Suppose 0*v - 8*v = 920. Let x = -64 - v. Let z = x + -23. What is the lowest common multiple of z and 14?
28
Suppose -3*c = 4*k + k + 140, 5*k = -c - 50. What is the smallest common multiple of ((-36)/5)/(4 + 198/c) and (2/(-3))/(3/(-126))?
252
Let k(t) = t**2 - 13*t - 28. Let f be k(13). Calculate the common denominator of ((-111)/8)/((-35)/f) and 93/28.
140
Suppose -p + 5*a + 35 = 0, 2*a + 20 = -2*a. Suppose 159*w + 18 = 165*w. Calculate the least common multiple of p and 9 + 9/(w - 6).
30
Suppose -1 = -3*f - l, -3*f - 3*l = 144 - 141. Calculate the smallest common multiple of 30 and f.
30
Let t(w) = 54*w**2 + 10*w - 11. Let i be t(1). Suppose -d - v + i = 0, -d + 82 = d - 4*v. Calculate the smallest common multiple of 4 and d.
196
Suppose 6*y - 294 = -8*y. What is the common denominator of (1 - -1)/(y/203) and -35/18?
18
Let o = 4 + -2. Let d = -81451/2 + 40683. What is the common denominator of (o/4)/(69/(-228)) and d?
46
Let g be (-77)/(-4) + 1/(-4) + 0. Let n = 51 - g. Suppose 6*y - n = 16. Calculate the smallest common multiple of y and 6.
24
Let o = -1092297/100 - -10924. What is the common denominator of o and 121/800?
800
Let z be (-79 - -3)*(3/1 - 2). Let s = -60 - z. Suppose -3*p + s = 4*d, 5*d = 2*p + 4*d - 29. Calculate the least common multiple of p and 100.
300
Let s = -428 - -421. Let r = s - -136. Calculate the least common multiple of 30 and r.
1290
Find the common denominator of ((-3048)/192 - (-3)/8)/(487/2) and 38/9.
4383
Let o = -159277/54 - -8857/3. Find the common denominator of 67/360 and o.
1080
Let o(m) = 294*m + 1171. Let r be o(-4). Let v be (-25)/20 - 1/(-4). Calculate the common denominator of -2/7 and (r/(-20))/(v/((-424)/(-26))).
91
Let r = -15309/44 - -350. Calculate the common denominator of r and 25/192.
2112
Suppose -485 + 513 = 2*y + 4*x, 0 = -y + 2*x - 6. What is the lowest common multiple of 373 and y?
1492
Let k(x) = 121 - 98 + x + 64. What is the least common multiple of k(-19) and 8?
136
Find the common denominator of 106/(-64)*12/27 and ((-176)/(-40) + -6)*100/36.
72
Let r(u) = 26*u**2 + u. Let k = 29157 + -29100. What is the lowest common multiple of k and r(1)?
513
Let c be (-4)/(-6) + (-7)/21*-1. What is the least common multiple of (15/4*(-240)/(-45))/c and 54?
540
Let s be (-420)/(-42)*((-8)/(-5))/1. Suppose 33*y - 37*y + s = 0. Suppose 4*g - 44 = -4*j, -5*j - y*g = -21 - 35. What is the least common multiple of j and 2?
12
What is the common denominator of 52/249 and 14/((-209160)/163818) - -11?
2490
Let v = 155 - 103. Suppose v - 17 = 5*l. Calculate the common denominator of 14 and 2/l + ((-15450)/189)/10.
9
Suppose -17 = -29*r + 99. Suppose 0 = 2*n - r*g - 452, -2*n = -0*g + g - 427. What is the lowest common multiple of n and 18?
216
Suppose 2*g + 0*q + q - 3 = 0, 4*q = -5*g. Suppose 0*f + g*s = f + 111, -f - 115 = -5*s. Let c = -87 - f. Calculate the smallest common multiple of c and 12.
24
What is the smallest common multiple of 1057 and (-36)/(-306) + 350/(-85) + 1514?
10570
Suppose -23*n + 160 = 22. What is the lowest common multiple of n and ((-84)/70)/((-4)/590)?
354
Let a = -4706 + 4727. What is the lowest common multiple of a and 2277?
15939
Let q(b) = 5*b. Suppose -26 = 5*k - 5*t - 1, -5*t + 13 = k. Let i be q(k). Calculate the common denominator of 39/5 and (-110)/28 + i/60.
105
Calculate the lowest common multiple of 6 and 0/(-9) + 128 + 2.
390
Find the common denominator of (3/(-2))/(18/21) + -9 and -41/2689.
10756
Find the common denominator of 500/(-20)*-2*(-4)/(-576) and 157/228.
1368
Let g be 4/(-6)*3/(-2) - -392. Let d = -241/43 - -71097/172. Let q = g - d. What is the common denominator of -47/5 and q?
20
Suppose 6*t - w = 3*t + 47, -52 = -4*t - 4*w. Let r(l) = -16173*l + 10. Calculate the lowest common multiple of r(0) and t.
30
Suppose -2*j - r + 235 = -j, 3*j - 715 = -r. Suppose 52*u - j = 44*u. Calculate the least common multiple of u and 6.
30
Let d(r) be the first derivative of r**3/3 + 13*r**2/2 + 6*r - 12. Suppose -j + 18 = j. Calculate the least common multiple of d(-13) and j.
18
Suppose -g + 3*z + 1348 = 4*g, 4*g + 4*z = 1104. Suppose -31*b + 8665 = 7983. Calculate the least common multiple of b and g.
2992
Let s = -54112867/494 + 109540. Calculate the common denominator of 26/9 and s.
4446
Suppose 5*j - 280 = -12*r + 7*r, -6*r - 204 = -3*j. Calculate the lowest common multiple of j and 770.
4620
Let i(a) = -30 - 43 - 10*a + 31 + 2*a. Calculate the least common multiple of i(-23) and 10.
710
Suppose -u = -715*w + 713*w + 5, 4*w - 31 = -u. What is the smallest common multiple of 165 and w?
330
Let v = -93344501/6552 + 185210/13. Find the common denominator of v and -67/6.
504
Suppose 2*z + 14 = 9*z. Suppose 0 = z*y + 8, o + 3*o + 608 = 2*y. Find the common denominator of o/20*(-1)/(-2) and -71/12.
60
Suppose -41*a = -2831 - 2581. Calculate the least common multiple of 380 and a.
12540
Suppose 0 = 3*y - r + 25, -4*y + 3*r - 39 = -14. Calculate the common denominator of 10/57 and (-271)/135 + (-6 - 56/y).
513
What is the common denominator of (80/(-440))/(1560/(-632)*4) and -29/195?
4290
Let s = -46288883398 - -1846000669809581/39880. Let a = s - 4/4985. What is the common denominator of a and 57/16?
80
Let u = -10042 + 11278. What is the least common multiple of 4 and u?
1236
Let o be (-4)/(-18) + (370120/225 - 1). Let x = 197719/120 - o. Calculate the common denominator of x and 19/52.
312
Let w(v) = 220*v**2 - 212*v**2 - v**3 - 6 - 10*v + v - 3*v. What is the least common multiple of 260 and w(4)?
260
Suppose i + 10 = 3*i. Let k(q) = -28*q + 26*q - i + 0. Calculate the least common multiple of 9 and k(-8).
99
Suppose 3*o - 10 = -2*o. Let i be 10 + -5 + (-1 - o). Suppose i*r - 32 = -3*g, 0*g - g = 0. What is the lowest common multiple of 2 and r?
16
Let j(n) = -n**3 - 9*n**2 + 27*n + 17. Let b be j(-15). Let i be b/(-5) - ((-16)/(-10))/(-4). Find the common denominator of -25/11 and (-464)/i - (-2)/8.
33
Let v(z) = -2*z**2 - 16*z - 2. Let t be v(-11). Let c = t - -53. What is the smallest common multiple of 20 and 2 + -3 + c/(-5)?
20
Let f(u) = -10*u**2 + 21*u - 84. Let d be f(5). Let o = d - -241. Calculate the lowest common multiple of o and (-3 - -2)*(-9 - -1).
24
Suppose -47 = o - 63. Calculate the smallest common multiple of 99 and 85 + 11/((-44)/o).
891
Let n = 49931/4 - 149767/12. Let g = -1811/2 - -14467/16. Calculate the common denominator of g and n.
48
Suppose -598 = -7*b + 3340 - 578. Calculate the lowest common multiple of b and 30.
480
Let t = 2656 - 1340. Calculate the common denominator of 2/(-12)*(-2773)/t and 71/72.
504
Find the common denominator of 1766880/440928 - (8/2 + 0) and -31.
1531
Let p(c) = c**3 + 9*c**2 + 7*c. Let u be p(-5). Let s be ((-52)/u)/((-2)/(-25)). Calculate the smallest common multiple of 2/s - (-217)/35 and 5.
30
Find the common denominator of 113/162 and (-3*3/360)/((-39)/2678).
1620
Suppose -3*b + 21 = -3*c, -b - 17 = -3*b + 5*c. Suppose b*v + 6 = 66. Let d(h) = -2*h - 6. Calculate the least common multiple of d(-7) and v.
40
Suppose 2*b - 6585 = -b. Let z = -30619/14 + b. What is the common denominator of (-8481)/726 - (-17 - (1 - 5)) and z?
154
Let s = -547871/18 - -30429. What is the common denominator of s and 93/2228?
20052
What is the lowest common multiple of (1168/3)/((-552)/(-4140)) and 4745?
37960
What is the smallest common multiple of (-13426)/(-441) + 8/(-18) and 270?
270
Let x be (-5133)/(-7) - (-4)/(-14). Suppose -5*g - x = 1122. Let k = g + 799/2. Find the common denominator of 39 and k.
2
What is the common denominator of 50/3 and (-2865)/10200 - (28/10 + -3)?
408
Let h = -8/63 - -9130/72891. Let g = h + -105207/46280. Find the common