is the lowest common multiple of (c + 1)/(6/6) and 8?
40
Suppose -2*z - 30 = 3*j, -j = -4*z + 6 + 4. Let x = j - -17. Suppose 0 = -2*c + 5*o + 30, 2*c + o - 1 = c. What is the least common multiple of c and x?
35
Let s = 9 + 7. Suppose 1 - 2 = -a. Suppose a - 5 = -d. Calculate the lowest common multiple of s and d.
16
Let l(q) = -q**3 + q**2 + 2*q + 340. Let v be l(0). What is the common denominator of 59/4 and (-2091)/v - (-2)/8?
20
Let x = -5 - -14. Suppose -5*y + 45 = -m, -5*y + 36 = 2*m - x. Suppose 4*f = -r + 3, -4*f + 5*r = -4 - 29. What is the lowest common multiple of y and f?
18
Let a(k) = k**2 - 9*k - 6. Let g be a(9). Calculate the common denominator of -33/8 and g*8/(-9)*1/(-2).
24
Let d(u) = -2*u + 152. Calculate the least common multiple of 11 and d(-27).
2266
Let s be (-2)/34*-1283 - (-6)/(-6). Let p = s - 16585/238. Let j = -1589 + 9593/6. Find the common denominator of j and p.
42
Let z = -1 + 1. Let n = 2 - z. Suppose -110 = -5*v - b, 7*v = 2*v - 5*b + 110. Calculate the least common multiple of n and v.
22
Suppose -2*g = 3*q + 58 - 141, 161 = 4*g + q. Calculate the lowest common multiple of g and 40.
40
Let q(o) = -14*o + 6. Let r be q(-5). Suppose 73 = -5*z + 133. Suppose z - r = -4*b. Calculate the smallest common multiple of 4 and b.
16
Let t be 0 + (-2324)/15 + 3. Let w = 947/6 + t. Calculate the common denominator of -77/4 and w.
20
Let k = 72885/14 - 5203. Let l be ((-16)/(-794688))/((-4)/1266390). Let s = l + -3/4139. Find the common denominator of s and k.
56
Let c = 0 + -5. Let j(k) = -3*k - 9. Suppose -13*s = -5*s - 16. What is the smallest common multiple of s and j(c)?
6
Suppose -f = 5*p - 91, -2*p - 3*f - 2*f + 41 = 0. What is the lowest common multiple of 38 and p?
342
Let r(f) = f**2 - 17*f - 26. Let o be r(-6). Suppose -o = -14*q - 0*q. Calculate the smallest common multiple of q and 9/(2 - (-2)/(-4)).
24
Let c = 18/79 + -371/1975. Calculate the common denominator of c and 4/215.
1075
Let i be (2 + -1)/(3/12). Suppose -i*w = -1626 + 510. Find the common denominator of ((w/(-6))/(-1))/30 and -93/26.
260
Suppose 7*k + 4 = 9*k. What is the smallest common multiple of k and 42?
42
Suppose 5*i + 4*i - 1197 = 0. Calculate the common denominator of i/30 + (-7)/14*-2 and 25/12.
60
Suppose -3*s + 6*s = -2*i - 2, 4*s = -2*i - 4. Suppose 0 = -4*d - i*d + 78. Calculate the smallest common multiple of 3 and d.
39
Let r = 37 + -27. Calculate the smallest common multiple of 16 and r.
80
Suppose 51*w - 140 = 37*w. Calculate the lowest common multiple of 80 and w.
80
Suppose 10*b - 19 = 21. What is the least common multiple of 40 and b?
40
Suppose 43317 + 59103 = -6*a. Let l = a - -768119/45. Find the common denominator of l and -81/40.
360
Let c = -4 + 6. Suppose 0 = -3*p + g - 395, 495 = -4*p - 3*g - c*g. Find the common denominator of p/42 + 5/30 and -103/14.
14
Let z = 1 + 19. Suppose -5*p - 24 = -2*p. Let n = -6 - p. What is the least common multiple of z and n?
20
Calculate the lowest common multiple of (2 + -3)*(-4 - 2) and 2 - (-32)/(-14) - 4320/(-126).
102
Suppose -3*p - 4*l + 32 = 0, 5*l = 4*p - 0*p - 53. Suppose -5*f = -2*f - p. Suppose -f*g - 70 = -9*g. Calculate the lowest common multiple of g and 22.
154
Let j = -2994/11 + 274. What is the common denominator of ((-32)/15 + 2)*(-2555)/(-28) and j?
66
Let v(l) = 7 + 1 - 1 + 0 - 5*l. Calculate the smallest common multiple of v(-3) and 100.
1100
What is the common denominator of -32/867 and 2/48*-2*(2 + -99)?
3468
Let r(c) = -26*c - 120. Calculate the lowest common multiple of r(-12) and 72.
576
Let o be ((-2)/6)/((-4)/32106). Let s = o - 45532/17. Calculate the common denominator of (58/(-18))/((-1960)/(-1260)) and s.
238
Let d = 219/11 + -547/22. Let s(p) = p**3 - 5*p**2 - 2*p - 14. Let h be s(6). Calculate the common denominator of d and 149/h + (-38)/95.
22
Let s = 2025 - 3955/2. Let p = 2188 + -26375/12. What is the common denominator of p and s?
12
Let f be (-12)/(-42) - (-116)/(-14). Find the common denominator of ((-116)/f)/(22/6) and 97/8.
88
Suppose -33*i + 2880 = 15*i. Calculate the smallest common multiple of 80 and i.
240
Suppose 6*i + 40380 = i. Let a = 129293/16 + i. Let z = -7/4 + 1/4. Calculate the common denominator of z and a.
16
Let s = -392956/35 + 11226. Calculate the common denominator of -107/14 and s.
70
Let p(b) = -b. Let q be p(2). Let k be 2/2 - (-41 - q). Calculate the common denominator of ((-11)/(-6))/(k/(-216)) and 48/7.
70
Let v(r) = -r**2 + 15*r + 3. Let m = 71/17 + -1451/34. What is the common denominator of m and v(13)?
2
Let l = 10691/30 - 1425/4. Calculate the common denominator of -75/14 and l.
420
Let d(n) = -n**2 - 5*n - 6. Let r be d(-4). Let w be -4 + 6 - (r + 0). Suppose 0*x + w = 2*x. Calculate the smallest common multiple of x and 2.
2
Let z = -10 + 20. Suppose 2*t = z*t - 528. What is the least common multiple of 22 and t?
66
Let t(k) = 235*k - 18. Let m be t(8). Let r = m - 14873/8. Calculate the common denominator of -48/7 and r.
56
Let c = -227 - -485. Calculate the lowest common multiple of c and 33.
2838
Suppose 0 - 11 = -w. Suppose -4*u + 16 = -2*x, -3*u + w = -0*x - x. Let d = 0 - x. What is the smallest common multiple of d and 2?
2
Suppose -2609*m + 2600*m = -486. Calculate the least common multiple of m and 66.
594
Suppose -g = 5*v - 233, 4*g + 5*v - 966 = 2*v. What is the smallest common multiple of 6 and g?
486
Suppose -60 + 12 = -3*h. Let d = -18 - -24. What is the smallest common multiple of h and d?
48
Let p = 1177/201 - 3/134. Find the common denominator of p and 39/16.
48
Suppose 0*f + 56 = 4*f. Calculate the lowest common multiple of 2 and f.
14
Let w = 432 - 3878/9. Calculate the common denominator of w and 73/141.
423
Let o = 628 + -523. Calculate the lowest common multiple of o and 105.
105
Let v = 1856972/55 - 33762. Find the common denominator of -63/40 and v.
440
Let u be 36/(-30) + -3 + (-2)/(-10). Let c(t) = -t + t - 2 - t. Calculate the least common multiple of c(u) and 14.
14
Let x = 35 - 29. Suppose 0*b + b - 4 = -k, -3*k - x = 0. What is the smallest common multiple of b and 2*(-1)/2*-7?
42
Let i = 43 - 125. What is the least common multiple of 10 and i/(-8) - 2*1/8?
10
Let c(m) = -8*m - 120. What is the least common multiple of c(-24) and 9?
72
Let u = 2/53943 - 3722107/1078860. Let f = 31 - 39. What is the common denominator of u and 2/f + 22/(-1)?
20
Calculate the common denominator of 16/7 and 6 + 6787/(-3696)*3.
112
Let j = 435/8 - 269/8. What is the common denominator of 31/4 and j?
4
Let o = -1 + 0. Suppose 202 = -2*u - 116. Find the common denominator of 2/30*o*u and 7/3.
15
Let k = 13883306221/167055 - -4/33411. Let t = k - 83385. Let b = t - -4417/15. Find the common denominator of 43/10 and b.
30
Let x = -21443/24 - -890. Find the common denominator of x and 58/9.
72
Suppose -19*s + 1283 + 237 = 0. What is the lowest common multiple of 10 and s?
80
Suppose -7*f + 128 - 114 = 0. Let x(g) = -g**3 - 7*g**2 + 10*g - 2*g - 7 + 13. What is the smallest common multiple of x(-8) and f?
6
Suppose h = -w - 2*h - 533, -8 = 2*h. Let l be (-11 - -18)/((-5)/w). Let a = -66181/90 + l. Calculate the common denominator of 5/6 and a.
18
Suppose 3*k + 2 = -2*w, 0 = 3*w + k - 4*k + 3. Let y be (w - (-3)/2)*4. Find the common denominator of -35/8 and (18/(-20))/(1/y).
40
Let f be (-48)/(-9)*(-2 + (-23)/(-4)). Suppose 5*t = -i - 3, -2*i + 5*t + 4 = -f. Calculate the least common multiple of i and 7.
7
Let y(u) = 29*u**3 + u**2 + 4*u - 4. Calculate the lowest common multiple of 54 and y(1).
270
Suppose 0*r = -3*r + 297. What is the common denominator of (12/r)/((-4)/(-54)) and 2/(-4) - 2*(-530)/100?
110
Suppose 3*q = -4*z + 37, 12*z + 2*q = 17*z - 29. Let k(j) = -2*j**3 - 3*j**2 - 3*j. What is the smallest common multiple of z and k(-2)?
70
Let u(y) = -y**3 - 3*y**2 + 15*y + 24. Let i be u(-9). Suppose -d + 141 + i = 4*o, -644 = -5*o - d. What is the lowest common multiple of 8 and o?
128
Let w = 47/472 + 11919/2360. What is the common denominator of w and 55/56?
280
Let b(g) = -g**2 + 7*g + 2. Let q be b(7). Suppose -4*h = 5*k + 191, h + 16 + 34 = -q*k. Calculate the common denominator of 830/(-572) - 8/h and 119/12.
156
Suppose -p = 4 - 1. Let v be (-2)/p + 214/3. Calculate the lowest common mul