se -y - h = r*y - 16, 4 = 4*h. Suppose 2*x - y*x = -22. Calculate the smallest common multiple of x and 14.
154
Let v(a) = -a**2 + 11*a - 5. Let m be v(8). Suppose -i + 4*b = 3*i - 20, 2*i = -b + m. What is the least common multiple of i and 2?
8
What is the common denominator of 1 + 3 + 6/((-2040)/1628) and -121/204?
1020
Let z = 1849158012165351/558266331693232 - -144/3099551011. Let r = z + 2/11257. Let p = -2989/372 - -76/31. What is the common denominator of r and p?
48
Let g be 3/(-2) - (-103)/2. Suppose -6 = 4*m - g. Let u(n) = 7*n**3 - 2*n**2 + 2. Calculate the lowest common multiple of u(1) and m.
77
Let v(r) = -8*r - 7. Let t be v(11). Find the common denominator of 3*t/(-10) + -1 and 62/5.
10
Let h = -10 - 1. What is the common denominator of (-8 - 793/(-104))*(-5)/3 and ((-3)/(-2) - 3)*h?
8
Let q be (-1)/4 + 85/20. Suppose -q = r, -r + 42 = 3*v + 2*r. Let p = 54 + -32. Calculate the least common multiple of p and v.
198
Suppose x = 2*x - 27. Let v = -2251 - -2257. What is the lowest common multiple of x and v?
54
Let c(d) = d**3 + 7*d**2 - 2*d + 2. Suppose -2*v - 3 = 4*w - 33, -3*w + v = -15. What is the least common multiple of w and c(-7)?
48
Suppose -3*w + 11 + 13 = 0. Suppose 0 = -16*o + 12*o + 36. Calculate the lowest common multiple of w and o.
72
Let l(h) = -190*h**2 + 3*h. Let j be l(-3). Let x = j - -13651/8. Calculate the common denominator of -4/7 and x.
56
Let n(x) = 4*x**2 - 2*x. Let g be ((-42)/8)/(25/(-4) + 6). Let j = g - 13. What is the least common multiple of j and n(-2)?
40
Calculate the least common multiple of ((14*30)/3 - 0) + -2 and 8.
552
Calculate the common denominator of -71/9 and (16 - 7)/27 + 22/4.
18
Suppose 219*g = 200*g + 19. Calculate the smallest common multiple of 12 - (-1 + 1 - -1) and g.
11
Let r be (-932)/(-44) - (-2)/(-11). Let j = r + -12. Suppose 0*l + 2*l = 5*c - 63, -c - 5*l = j. Calculate the smallest common multiple of 2 and c.
22
What is the common denominator of (4/(16/3))/(36/856) and -69/4?
12
Let l = 11172/73 + -923017/7227. Let d = 270/11 - l. Find the common denominator of d and -8/9.
9
Calculate the common denominator of ((-3)/60)/(3/(-2)) and 26/(-12) + 2 + 58/(-290).
30
Let x(k) = 7*k**2 - 1. Let v = -4 + 6. What is the lowest common multiple of v*9/(-12)*-2 and x(-1)?
6
Let f = -26419 - -634187/24. Calculate the common denominator of -99/40 and f.
120
Let m = 24698 - 814958/33. What is the common denominator of m and 133/6?
66
Suppose 4*r = -3*r - 168. Let k = -22 - r. What is the smallest common multiple of 5 and k?
10
Suppose -i - 5 = 0, 4*y - 5*i = 5*y + 23. What is the common denominator of y and 143/350?
350
Let u(m) = 2*m**3 - 2*m. Let k(b) = -b**2 - 19*b - 10. Let w be k(-15). Let f = -40 + w. What is the smallest common multiple of f and u(2)?
60
Let r = 7 + -12. Let g = -4 - r. What is the least common multiple of g and 11?
11
What is the lowest common multiple of 6 and (288/(-10))/(25/(-250))?
288
Calculate the lowest common multiple of (48/(-9) + 6)*6 and 20.
20
Suppose 0 = -2*v + 10 - 4. Calculate the common denominator of v/(-6) + (-7)/12 and -47/6.
12
Let w(s) = 65*s - 29. Let b be w(-13). What is the common denominator of 17/(-85) - b/(-80) and 61/18?
72
Let d be -5304*(2 + -4 - -1). Suppose d = 3*k + 5*q - 580, 0 = 3*k - 5*q - 5864. Let w = 23647/12 - k. What is the common denominator of w and 29/36?
36
Let p be (10/4 - 2)*-4. Let q(o) = -o + 2. Let s be q(p). Find the common denominator of 113/6 and s/(-14) + (-274)/(-28).
6
Let k = -9 - -17. Let i be k/10*(-25)/(-10). Suppose 4*w = 12, 0 = 5*a + 2*w + i*w - 22. What is the least common multiple of a and 6?
6
Let c be (-18)/(-4)*(-72)/12. Let t = 40 + c. Let l = 15 - t. Calculate the lowest common multiple of 8 and l.
8
Suppose -3*y + 3*c + 12 = 0, 4*c + 15 = -5. Let g = y - -28. What is the least common multiple of 18 and g?
54
Let w = 157 - -67. Let t = -44645/16 - -2786. Calculate the common denominator of t and (-4)/(-2) - 688/w.
112
Suppose -8*x = -9*x + 9. Suppose -4*s = -x*s + 15. What is the least common multiple of s and 15?
15
Suppose -4*b + 4*x = -36, 0*b + 5*x = -b - 21. Let k(u) = -19*u**2 + u + 6. Let a be k(-3). Let r = -120 - a. Calculate the least common multiple of b and r.
48
Suppose c + 0*c + 19 = z, z - 36 = 2*c. Suppose 25 = -2*f + 1. Let p = f - c. What is the least common multiple of 7 and p?
35
Suppose 0 = -10*m - 2*q + 2874, 5*m + 0*m - 3*q - 1449 = 0. What is the lowest common multiple of 396 and m?
3168
Let w = -629/3 + 122059/582. Let o = w - -2230/873. Calculate the common denominator of -3 + 2 + 134/8 and o.
36
Let a = 170/3 - 764/15. Let o = 1453/36 + -193/4. What is the common denominator of a and o?
45
Let z = 22 + -7. Suppose -518 + 104 = -18*c. Let j = c - z. Calculate the smallest common multiple of 30 and j.
120
Let q(k) = k**2 + 4*k - 20. Let l be q(-6). Find the common denominator of 49/12 and ((-16)/39)/4 - 8/l.
156
Let l be (-6)/18*1*6. Let n be (9/l)/(3/(-12)). Suppose 5*r - n = 7, 0 = -3*u + 5*r - 19. What is the lowest common multiple of u and 9?
18
Let h(u) = 5*u - 13. Calculate the smallest common multiple of 24 and h(5).
24
Let q = 3 - 1. Suppose 0 = -2*p - 1 - 3, w + q*p = 1. Let z(v) = v**3 - 4*v**2 - 2*v - 11. Calculate the lowest common multiple of 14 and z(w).
28
Suppose 4*b - 208 = -5*g, -g - 5*b + 50 = -0*g. What is the common denominator of 48/11 and -3 - g/36 - 3?
99
Suppose 2*q = -2*q + 16, b = 2*q + 16. Calculate the lowest common multiple of b and 20.
120
Suppose -3*c + 889 = -8. What is the smallest common multiple of 253 and c?
3289
Let u = 1929 - 42451/22. Calculate the common denominator of u and -17/74.
814
Find the common denominator of -53/342 and (148/(-152))/(20/5 - 8).
1368
Suppose -5*i + 251 + 49 = 0. Let h = 3/10 - -17/110. Calculate the common denominator of 1*(-4)/4*i/21 and h.
77
Let d be (-9)/(-21) + 6666/(-21). Let w = -1287/4 - d. Calculate the common denominator of w and ((-498)/(-32))/((-9)/6).
8
Suppose -2*n + 16 = -9*g + 13*g, -2*g + 5*n + 20 = 0. What is the lowest common multiple of g and 95?
95
Suppose 3 = 2*l - 15. Suppose 2*x + 12 = 28. What is the least common multiple of l and x?
72
Let u = 587791/40 + -14694. What is the common denominator of u and 661/(-30) - 13/(-65)?
120
Suppose -2*t + 1 - 3 = -2*j, -2*j + 4*t = 4. Suppose 4*z = -0*z - j. Find the common denominator of z + 58/44 + 3 and 115/14.
154
Let d = -2349 + 23529/10. Find the common denominator of d and -27/40.
40
Let l = 11164/11115 + -113/117. Find the common denominator of -41/150 and l.
2850
Suppose 44944 = -4*f - 4*c + 8540, -9103 = f + 2*c. Let d = f + 54727/6. Let o = -2939/2 - -1438. What is the common denominator of o and d?
6
Let v = 1688543/66 + -25583. Let g be (0 + 12)*2/(-4). Find the common denominator of v and g/3 - 9/8.
264
Let f = 73 + -37. Let q be f/10 + 2/5. What is the common denominator of -3 + q/((-48)/(-69)) and 103/18?
36
Let u = 114/7 + -2605/126. Find the common denominator of (-508)/144 - (-108)/48 and u.
18
Suppose 10*p = -7*p + 204. Suppose p*x - 404 = -20. What is the least common multiple of x and 24?
96
Let z = 67473/8 - 6747321/800. Find the common denominator of z and -9/7.
5600
Let g = -609216934794421/33567860 - -90744083/5. Let t = g + 27948564739/21664696844. Let m = t + -2/461. What is the common denominator of -101/8 and m?
56
Let a = -5540 + 3822. Let k be -4 - (a/(-221))/(-2). Let w = k + -17309/1326. Calculate the common denominator of w and -45/8.
24
Let a = 45633/10450 - 3/950. What is the common denominator of (-249)/18*-1 + -3 and a?
66
Let z(w) = 28*w**2 + 24*w + 6. What is the smallest common multiple of 50 and z(-2)?
350
Let z(r) = 26*r + 56. What is the least common multiple of z(7) and 3?
714
Let n = -13/23 + -365/46. Calculate the common denominator of n and -121/80.
80
Let f = 19293/11 - 1756. Let r = -496922303/50358 - -758080/77. Let o = r - -156/109. What is the common denominator of o and f?
66
Let j(i) = -i**3 - 4*i**2 - 2*i - 4. Calculate the least common multiple of j(-4) and (-20)/2 + 52/2.
16
Calculate the common denominator of (-3)/(-88)*4*222/9 and 13/75.
825
Let n = -4724/5 + 99199/105. What is the common denominator of (-2)/(-3) + 41/9 and n?
63
Let o = 31/542 + 22539/8672. What is the co