 + 340. Let f = 4 + 1. Suppose 0 = -f*w + x + 9, -5*w + 3*x = -4*w - 13. Calculate the lowest common multiple of q and w.
9
Suppose -132 = -4*r - 2*m, -4*m + 4 = -4. Calculate the smallest common multiple of 8 and r.
32
Let g(m) = -5*m + 44. Let w be g(-28). What is the common denominator of 85/14 and (-10)/((-178)/w - 6/24)?
14
Let m = -181836/57145 + 1/5195. Calculate the common denominator of 91/44 and m.
44
Suppose -13*n = -8*n + 175. Calculate the common denominator of n/4*90/(-35) and (-1)/(-2) - 10/22.
22
Suppose 2*r = -z + 24, 6*z - r = z + 175. Let v = z - 32. Suppose -o = -4*i - 26, 3*o - 54 = 3*i - 3. Calculate the smallest common multiple of v and o.
14
Let a = 10 + -10. Suppose a*s - 51 = 3*s. Let b = 19 + s. Calculate the least common multiple of b and 4.
4
Let j = -51 + 28. Let i = 12015 - 120269/10. What is the common denominator of i and j?
10
What is the least common multiple of 22 and ((-7)/4 - -2) + (-248)/(-32)?
88
Let z be 7 - (3 + -3) - -1. Suppose -2*v - 4 = 2*r, 7*v - z = r + 2*v. Calculate the common denominator of 73/8 and 79/4 + (r - -7).
8
Let s = -245 + 311. Calculate the lowest common multiple of s and 84.
924
Let q be 141129/(-24)*(-16)/(-60). Let n = q - -1557. What is the common denominator of n and 35/11?
110
Suppose 5*w - 54 - 131 = 0. Suppose 0 = 3*q + 1 - w. What is the common denominator of -35/22 and 5/q + -2 + 2?
132
Let q(g) = -g**3 - 43*g**2 - 3*g - 115. Suppose -29 = -r - 0*r - 5*n, 3*n - 65 = -4*r. Calculate the least common multiple of r and q(-43).
14
Let t = 69527/5418 + 2/2709. Suppose u = -4*f + 15, -4*f + 18 + 6 = 4*u. Find the common denominator of 2 - u/(-36)*-149 and t.
12
Let x be (-14558566)/(-168) + (-22)/(-77). Let s = 86729 - x. Let k = s - 197/3. Calculate the common denominator of k and -109/6.
12
Suppose t + 12 = -5*h - 22, 0 = -t - 4. Let x be (h/9)/((-3)/(-9)). Find the common denominator of 46 and (-300)/8 + x + 1.
2
Suppose 0 = c + 3*c - 112. Calculate the common denominator of -7 + 8 - 22/c and -2 - (-4 + 27/16).
112
Let r be ((-54)/(-15))/(12/40). Suppose x - 2*x + 2 = 0. Suppose r + x = c. What is the least common multiple of c and 12?
84
Suppose -2*q = -4*b - 20, -2*q = q - 5*b - 28. Let l = -24 + 9. Let y = l - -23. What is the least common multiple of q and y?
24
Suppose 6*t + 12 = -0*t. Calculate the least common multiple of 20 and (-12)/10*(-7 - t).
60
Let b = 106/27 - -719/108. Find the common denominator of b and 89/14.
84
Suppose q + 2*c - 8 - 4 = 0, 3*q - 12 = 2*c. What is the smallest common multiple of (1 - q/12)*14 and 2?
14
Suppose -3*b + 15 = -2*y, 0*y + 3*y + 4*b = 20. Suppose y = -n - 2*n + 132. Let d = -26 + n. What is the smallest common multiple of d and 16?
144
Let f = -18/2233 + -19177/13398. Calculate the common denominator of 47/88 and f.
264
Let w = -1318 - -1372. What is the least common multiple of 66 and w?
594
Suppose -3*a + 6 = 3*w, 0 = 2*a - 0*w - w - 10. Calculate the smallest common multiple of 18 and a.
36
Let v(y) = -y**2 + 36*y - 120. What is the lowest common multiple of 100 and v(30)?
300
Let d = -230/567 - -18131/31185. What is the common denominator of d and 7/11?
165
Suppose -3*x + 41 = -0*l + 4*l, -x = 5*l - 65. Let i(c) = -c**2 - 3*c + 4. Let g be i(-5). Let q = l + g. What is the lowest common multiple of 2 and q?
8
Let i(z) = -30*z + 43. Let d be i(7). Let g = -135 - d. What is the smallest common multiple of 40 and g?
160
Suppose -s = 3*t - 17, 5*t + 0*s - 35 = -3*s. Calculate the least common multiple of 10 and 8/(((-24)/(-9))/t*1).
60
Suppose -8*q = -10*q - 3*w + 27, 2*w = 5*q - 20. Suppose -2*v + 275 = 4*b - b, 3*b - 5*v - 310 = 0. Find the common denominator of (-2)/q + b/150 and -27/11.
110
Suppose 0 = -4*u - 24 - 8. Let d = u + -11. Let n = -9 - d. Calculate the smallest common multiple of n and 10.
10
Let l(o) = o**2 - 99*o + 2184. Suppose 8 + 16 = -k + 5*g, 0 = 5*k - 2*g + 5. Calculate the least common multiple of k and l(33).
6
Let k = -41/22 + 885/286. Let n(l) = l**3 - 3*l**2 + 3*l - 3. Let c be n(3). Calculate the common denominator of k and 107/c + (-2)/(-4).
39
Let z be (11341/28 + -4)*-2. Let m = z + 805. What is the common denominator of m and -101/16?
112
Suppose 607*f + 56 = 608*f. What is the least common multiple of f and 22?
616
Let l = -771/23 - -40195/1173. Find the common denominator of -38/11 and l.
561
Let q = 184467/62 - 2976. What is the common denominator of q and 93/16?
496
Suppose -4*k = -16209 + 4037. Let n be k/5 - (-6)/15. Let m = -4955/8 + n. What is the common denominator of m and -79/2?
8
Let u = 3641247036 + -22273507982605/6117. Let a = 2/2039 + u. Let q(t) = -t**3 - 13*t**2 + 13*t + 6. Find the common denominator of q(-14) and a.
3
Let a = 26 - 17. Let n = -26 + 50. What is the lowest common multiple of n and a?
72
Let f = -139 + 410/3. Suppose 204 = -2*x - 4*z, -x - 117 = -7*z + 6*z. Calculate the common denominator of f and (-6)/14 - 146/x.
24
Let k = -125/4 + 1309/36. What is the common denominator of -43/15 and k?
45
Suppose 25*p - 938 = 287. Calculate the least common multiple of 70 and p.
490
Suppose 5 = 2*h - 5, -3*b = 4*h + 16. Find the common denominator of (10/8)/(13/4) and 126/b*(-12)/20.
130
Let l = 1065047/54 - 19725. Calculate the common denominator of l and 28/3.
54
Let i be 1 + 166 + (-24 - -21). Let h = 610 + -1177/2. Find the common denominator of (-5)/((-45)/6) - i/66 and h.
22
Suppose 4*k - 156 = -4*d, 5*k - 3*k = -10. Let q be (-6)/(-7 + (-44)/(-8)). Suppose q*p - d = -0. What is the lowest common multiple of 4 and p?
44
Suppose i - 8 = 2*q + 5*i, -4*q = 2*i - 14. Find the common denominator of 59/36 and q/(-15) + (-1 - 392/(-30)).
36
Let w = 841/510 + 1/1020. Find the common denominator of 103/156 and w.
780
Find the common denominator of 93/4 and 31*((-4)/(-6))/((-3304)/(-84)).
236
Let c = -3/811 - 31599/8110. Find the common denominator of c and 12/115.
230
Let m be (-514885)/(-900) + 6/15. Let s = m + -2869/5. What is the common denominator of s and 75/14?
252
Suppose 3*w - 222 = v, -4*w = 7*v - 4*v - 296. Suppose -6 = w*i - 75*i. Calculate the lowest common multiple of 30 and i.
30
Let w = 14 + -12. Suppose -r + w*h - 14 - 3 = 0, -5*h = -5*r - 100. Let f = -17 - r. Calculate the smallest common multiple of 7 and f.
42
Let z = -41969/1290 - -1581/43. Calculate the common denominator of 5/8 and z.
120
Suppose 9*y - 5*y - 2*w - 60 = 0, 3*w = -3*y + 36. Calculate the lowest common multiple of 46 and y.
322
Let s = 3 + -10. Let x = -6 - s. Calculate the lowest common multiple of x and 17.
17
Suppose 4*u + 8 = 0, -2*d + 4*u - 10 + 40 = 0. What is the smallest common multiple of 7 + 1*(-2)/1 and d?
55
Let j(u) = u**2 - u - 3. Let n be j(3). Let z be -2 - 0/((-3)/n). Calculate the lowest common multiple of 2 and (-21)/z*(-20)/(-15).
14
Let w = -716222/7 - -102789. Let i(m) = m**3 + m**2 - m + 469. Let j be i(0). Let x = w - j. What is the common denominator of 50/11 and x?
77
Let o(k) = -5*k**2 + 4. Let g be o(-3). Let l = -165/4 - g. Find the common denominator of l and (-7*(-2)/(-10))/(20/(-175)).
4
Suppose n = -3*a - 3*n + 9, -15 = -5*a + 3*n. Suppose a*d = d. Find the common denominator of (4 - d) + 415/30 and 13/7.
42
Let a(p) = p**3 + 6*p**2 - 8*p + 2. Let x be a(-7). Suppose x = 4*z - 3*s - 51, 0 = -4*s - 16. What is the common denominator of z/(-220) + 2/(-5) and -71/2?
22
What is the smallest common multiple of -1 + 3/((-18)/(-78)) and 30?
60
Suppose -11 = m - 4*t, -70 = -5*m - 9*t + 4*t. Suppose -117 = -m*g - 4*g. Calculate the smallest common multiple of 6 and g.
18
Find the common denominator of -23/8 and 120/92*20/(-16).
184
Let n = -991/180 + 89/20. Calculate the common denominator of n and (-435)/(-90)*2/(-6).
18
Suppose h = 148 + 152. Suppose 5*f + h = -0*f. Calculate the common denominator of 73/16 and 6/(-9) - 634/f.
80
Let l be (3 + 0)*136/(-12). Let a = l + 23. Let c(m) = -m**3 - 11*m**2 - m + 7. Calculate the lowest common multiple of c(a) and 10.
90
Let u = -7 + 5. Let r = -703 - -683. Calculate the common denominator of -1 - (166/r + u) and -13/11.
110
Suppose 4*t = -12, 2*t + 16 = s - 0*t. Suppose -4*u + u = -36. Calculate the lowest common multiple of u and s.
60
Suppose n + 32 = 4*a + 3*n, 4*n - 16 = 0. Let s(u) = 18*u - 74. Calculate the least