and c.
40
Suppose -4*v + 16 = 4*m, 5*v - 4*m + 9 = 65. Let i = v - 13. Let k = 1 - i. What is the lowest common multiple of k and 18?
18
Suppose 0 = -3*i - 8 + 134. Calculate the common denominator of (-22)/(-8)*(-364)/i and 1/5 + (-993)/240.
48
Suppose 10*g - 2*c = 15*g - 950, -g + 5*c + 217 = 0. Calculate the least common multiple of 168 and g.
1344
Let u be 5/(-55)*4957/1. Let q = u + 451. Let m = -5790/7 - -824. What is the common denominator of m and q?
77
Suppose 24 = -3*n + 66. Let i = 14 - n. Suppose 0 = 5*d - x - 52, i*d + x = -d + 8. Calculate the smallest common multiple of 20 and d.
20
Suppose -4*v = 4*v + 5216. Let o be (-3)/(-7) + 137465/(-210). Let m = o - v. Calculate the common denominator of 93/10 and m.
30
Let a(v) = 4*v + 8. Let j be a(-3). Calculate the common denominator of (j/16*-13)/(18/(-8)) and -77/15.
45
Let o be (-1)/(-10)*(-2721)/(-18). Let r = -19/30 - o. Let w(j) = j - 1. Calculate the common denominator of w(2) and r.
4
What is the common denominator of 2*(2/(-9) + (-782)/(-144)) and 47/60?
60
Let c = 368974/17 + -88642483/4080. Let a = c - -419/15. Let m = 91543/8450 - 2/12675. What is the common denominator of m and a?
48
Let q(x) = 57*x**3 + x**2 - 8*x + 6. Let t = -2 + 4. What is the lowest common multiple of q(1) and t?
56
Let z = 9827/6 - 1653. What is the common denominator of -127/30 and z?
30
Let y = -99 + 111. What is the least common multiple of 15/3*340/25 and y?
204
Let z(d) = -2*d**2 - 10*d + 10. Let p be z(-6). Find the common denominator of (183/9)/((-10)/(-6)) and (-5*6/(-45))/(p/129).
5
Let n be 43096/(-8)*(1 - 2). Let u = 64691/12 - n. What is the common denominator of (-505)/(-60)*(0 - -2) and u?
12
Suppose 2*t + 5*c = 116, -7*c + 174 = 3*t - 2*c. Suppose t + 164 = 4*y + 3*f, 4*f = 8. What is the least common multiple of 4 and y?
108
Let f(b) = -b**3 + 18*b**2 + 42*b - 13. What is the least common multiple of f(20) and 23 - (1 - (-3 + 4) - 1)?
216
Let r = -5629/843 - -3/281. Let m be 42/(-35)*(-70)/3. What is the common denominator of (-11 - -5)/(18/m) and r?
3
Let g = 109267/3300 + -3009/110. Let i be ((-1)/(-24))/(3/426). Let d = i - g. Calculate the common denominator of d and 40/11.
275
Let c be 1/2 - -25*5/(-410). Let y = c + -589/287. Find the common denominator of -7/11 and y.
77
Let v be (17 - 19) + (-482)/33. Let n = v + 7/66. Find the common denominator of n and -10.
2
Let l be 4/46*(-6)/(6/(-127)). Let b = -5281/322 + l. Calculate the common denominator of b and 0 + 123/10 - 2.
70
Let z = -7 + 12. Suppose z - 30 = -5*c. Let n(p) = p - 24. What is the lowest common multiple of c and n(28)?
20
Let r = 52177/5 - 10394. Let j = -39 + r. Find the common denominator of 13/2*(-4)/22 and j.
55
Suppose 14 - 14 = g. Find the common denominator of -107/18 and g + 1036/(-256) + 4.
576
Suppose 633 = 18*x + 93. Calculate the least common multiple of 9 and x.
90
Calculate the smallest common multiple of (-72)/(-5) - (-27)/(2025/(-30)) and (-8)/(-10) - (-576)/30.
140
Let z be -144*(-1 - 0) - 0. Let q = -2/18183 + -183849/12122. Find the common denominator of q and 12/18 - 141/z.
48
Let i(q) = 5*q - 1 - 2*q - q + q**2. Let b be i(-3). Find the common denominator of 117/10 and 335/10*b/(-4).
20
Let q be (-6)/8 + (-1)/(-8)*-2. Find the common denominator of (-415)/(-22)*q/5 and -73/6.
66
Let t(j) = -j**3 - 47*j**2 - 88*j + 135. What is the smallest common multiple of t(-45) and 190?
1710
Let c = 353/36 + -50/9. Calculate the common denominator of c and -43/44.
44
Suppose 4*b - 5*k = 832, -k + 1481 - 441 = 5*b. What is the smallest common multiple of b and 22?
2288
Let b be ((-11)/(99/12))/(1726/(-3)). Let r = b - -61267/2589. Find the common denominator of r and 26.
3
Let m(x) = x**2 + 10*x + 61. Calculate the smallest common multiple of m(-5) and 99.
396
Let y(i) = i**3 - 7*i - 13. What is the lowest common multiple of y(8) and 9?
3987
Let m(i) = -14*i - 18. Let s be m(-3). Find the common denominator of -5 - -3*43/s and 19/18.
72
Let a be 17/6 - 4/12. Let y be (-249)/(-8)*7/(-21). Let g = y + a. What is the common denominator of g and 137/30?
120
Let y be 240247/59616*2 + -2. Let k = y - -5/1863. Let q = 57725/14 + -4118. Find the common denominator of q and k.
112
Let b = 18 - 14. Suppose -5*d - 25 = -b*h - 0*h, -4*d = -12. Calculate the common denominator of h/(-16)*29/10 and 57/22.
176
Let n = 75488749/380 + -198665. Let k = n + 227/19. Find the common denominator of -9 - -6 - 122/(-8) and k.
20
Find the common denominator of 3038/(-124)*2/(-16) and 286/72 + (-6)/27.
16
Let r = -342815/293 - -1170. Let p = 8467/1758 - r. What is the common denominator of p and -51/7?
42
Let v(i) = -i**3 - 46*i**2 + 97*i + 138. What is the least common multiple of v(-48) and 6?
90
Find the common denominator of -113/60 and (-4)/16 + (-217)/7224*-14.
2580
Let s = 1072/11 + -9093/88. Calculate the common denominator of s and 2*((-74)/16 + 1).
8
Suppose -5*s - 83*p + 22 = -82*p, 5*p = 5*s - 10. What is the least common multiple of 2374 and s?
4748
Suppose -6*t + t + 4*y = -12, 4*y = t - 12. Suppose -d + 5 = t, 3*q + 2*d - 5 = 4*d. Suppose q*r = 111 - 1. What is the lowest common multiple of 30 and r?
330
Let r(q) = -17*q + 569. What is the lowest common multiple of 22 and r(-11)?
8316
What is the common denominator of (-11 - (-1845)/165) + (-2111)/1386 and -113/616?
5544
Suppose -15*m + 4 = -13*m. Suppose -632 - 122 = -m*o. What is the common denominator of 81/8 and o/(-60) + (-3)/(-9)?
40
Let m = -88701/16 - -5546. Calculate the common denominator of (4 - (-51)/(-12))*(-267)/3 and m.
16
Let d(u) = -24*u - 198. Calculate the least common multiple of d(-16) and 15.
930
Calculate the common denominator of 31/11 and 0 + ((-36)/(-84))/((-20)/42).
110
Let i be 3/793434*561514874/540. Let q = i - 26/132239. Let y = 2/135 - q. Find the common denominator of -17/12 and y.
12
Let x be (-15)/(-4)*(-2 - 0)*2. Find the common denominator of ((-1)/(-2))/((-5)/(-29)) and (x/(-35))/((-32)/(-28)).
40
Let z = 92680723/42 + -2206221. Let n = -12234/7 + z. Let c = n + 1296. Calculate the common denominator of 91/12 and c.
12
Suppose s - 16 = 4*h, -h - 2*s - 7 = -3*s. Let p be -3 + h + (-3580)/(-594). Let j = -643/594 + p. What is the common denominator of j and 151/6?
18
Suppose -3*b + 21 = -0*b. Suppose 2*v + 2*v = 0. Let c = v + 10. What is the smallest common multiple of c and b?
70
Suppose 0 = 2*y + 4*h + 20, -5*y - 5*h = -0*y + 25. Suppose -4 = -0*k - k - 2*i, 4*k - i - 16 = y. What is the lowest common multiple of k and (6/12)/(2/20)?
20
Suppose -4*u - 24 = -8*u. Suppose 152 = -3*f - 4*k, u*k + 244 = -5*f + 4*k. Let t = 68 + f. What is the least common multiple of t and 46?
460
Let y = 59 - 54. Suppose 17 = 4*n + y*g, -4*n - 2*g = -5*g - 41. Calculate the lowest common multiple of (7/3 + -1)*3 and n.
8
Let q = -60 + 65. Suppose -o = -2*i + 19, -q*i + 67 = 4*o - 0*o. What is the lowest common multiple of 3 and i?
33
Suppose -4*n - 3*j = 3, 17 + 4 = -5*n + 2*j. Let p(i) = 4*i + 19. Let v(z) = z**3 + 5*z**2 - 5*z + 7. Calculate the smallest common multiple of v(-6) and p(n).
7
Let k(w) = -w**3 + w**2 + 7*w - 15. Let s be k(7). Let b = s + 152. Find the common denominator of 55/4 and (-213)/b + 9/12.
36
What is the common denominator of -44/9 and (-878)/252 + 30/12?
63
Let q be (-6)/9 + (-62722)/(-94092). Let p = 1089893/94092 - q. Find the common denominator of 2/45*5/4 and p.
36
Let l(r) = -r**3 + 5*r**2 + 11*r - 23. Let y be l(7). Let z = y - -53. Calculate the smallest common multiple of z and 6.
18
Suppose 2*a = -y + 7, 4*a + 3*y - 17 = 4*y. What is the smallest common multiple of a and 244?
244
Let a be (-1 + 4 + -3)*-1. Find the common denominator of 1089/(-180) - (a + 0) and -5 - (3 + 78/(-60)).
20
What is the common denominator of -3 + (6 - 2) - 312/105 and 22/5?
35
Let k = 10 + -1. Suppose 12*q = 14*q - 5*d - 25, 3*q = d + 44. What is the least common multiple of q and k?
45
Let o = -74221/10 - -7414. Let w = -1016 + 7081/7. What is the common denominator of w and o?
70
Let m = -187 + 6910/37. Find the common denominator of 79/8 and m.
296
Suppose a + 31 = 3*c, -a + 31 + 34 = 5*c. Let t = 45 + -18. Calculate the lowest common multiple of c and t.
108
Let r = -31245733/414 + 75473. Calculate the common denominator of -