-2 = q - p*i - 13. What is the smallest common multiple of q and 8?
24
Let a be (-4)/(-10)*(0 - -10). Suppose -b = -f - a*f - 5, 0 = b + 5*f - 15. What is the lowest common multiple of 2 and b?
10
Suppose -6*i = -2 - 10. Let g(h) = 12*h**2 + 2*h + 1. Let o(q) = -q**3 + q - 1. Let z be o(0). What is the smallest common multiple of i and g(z)?
22
What is the least common multiple of 130/4 + (-1)/2 and -33*(-42)/(-18)*6/(-21)?
352
Suppose 5*q - 25 = -5*l, -2*l + 6*q + 25 = 3*q. Let i be l/(-10)*75/2. Calculate the common denominator of -77/4 and i/(-16)*(1 - -9).
4
Suppose 20 = -4*t - 0*t. What is the common denominator of 31/(-3) - (-10)/t and -22/5?
15
Let h = 590/7 + -8948/105. What is the common denominator of -65/21 and h?
105
Let q(k) = 23*k**2 - 7*k. Let j be q(-5). Let b = j + -336. Find the common denominator of 31/8 and b/(-72) - (-1)/4.
72
Let o = -14/19 + -333/38. Find the common denominator of -101/20 and o.
20
Let n = 3 + 6. Suppose 0 = -c + 4*c + n. Let y = 5 + c. What is the lowest common multiple of y and 1?
2
Let k = -183/7 + 164/21. What is the common denominator of 19/11 and k?
33
Let y be 74187/(-77) + (-4)/(-14). Suppose -2*j = o + 167 - 1119, -5*j = 3*o - 2861. Let b = o + y. Find the common denominator of 19/8 and b.
88
Let v(c) = 10*c. Let s be v(2). Let o = 28 - s. Calculate the smallest common multiple of o and 9.
72
Calculate the common denominator of -1*2*(-423)/(-18) - 1 and 22/19.
19
Let h = 4991/22 - 227. Find the common denominator of 101/22 and h.
22
Let d be (-1 - -4) + 7 + -6. Suppose -d*x - 3*s = -62, 0 = 4*x + 4*s - 9*s - 46. Calculate the least common multiple of 38/5 - (-2)/5 and x.
56
Let o = -540 + 2149/4. Calculate the common denominator of 31/10 and o.
20
Find the common denominator of 89/8 and (-4533)/792 + 120/55 + -2.
24
Let b(g) = -g + 3*g - 3*g**2 - 1 - 2. Let w = 52 - 95/2. Calculate the common denominator of w and b(4).
2
Let q be -3 - (-3 + 0 + -6). Calculate the lowest common multiple of 11 and ((-9)/(-2))/(3/q).
99
Let l = 217/6 - 179/3. Find the common denominator of l and -75/2.
2
Let d(o) = -o**3 - 5*o**2 - 3*o - 2. Let a be d(-5). Let r = a - -3. Calculate the smallest common multiple of r and -1 - 1*(-17 - 2).
144
Suppose -2 - 2 = -4*j. Let a be (1/(-4))/(j/(-12)). Suppose -9 = -d - 5*v, 2*d + a*v - 25 = -0*v. What is the smallest common multiple of 16 and d?
112
Let o = -154/13 - 563/26. Find the common denominator of 22/3 and o.
6
Let l = 1/58916 - -351493/118008748. Let g = l + 86081/16024. Find the common denominator of -59/22 and g.
88
Let b be (18/8)/(1/28). Suppose 2*x + 3*x + b = n, -n + 2*x = -51. Let f = 83 + -559/7. What is the common denominator of n and f?
7
Let z(u) = -4*u + 15. Calculate the least common multiple of 45 and z(-3).
135
Let s(w) = w**3 + 4*w**2 - 9*w - 6. Let g be s(-6). What is the common denominator of -75*((-1)/16 - 0) and (1/g)/((-2)/4)?
48
Calculate the common denominator of (-890)/8*(-6)/15 and (-133)/76*(-388)/14.
2
Suppose 2*f + 3 = 21. Calculate the lowest common multiple of f and 8.
72
Suppose -3*y = 4*m - 2*m - 46609, -y = -3. Suppose c - m = 6*c. Let f = c + 46647/10. What is the common denominator of f and -107/22?
110
Let a = 89612 + -714833/8. Suppose 0 = -5*i - 322 - 973. Let k = i + a. Find the common denominator of 73/10 and k.
40
Find the common denominator of 0/(-2) + 70/(-36) and -11/20.
180
Let b(s) = 9090*s**2 + s - 1. Let o be b(1). Let w = -3897 + o. Let d = 41461/8 - w. What is the common denominator of 31/12 and d?
24
Let j be -2*(35/2)/(-5). Let a = -1661/87 + 15/58. Calculate the common denominator of 1 + (-32)/j - -3 and a.
42
Find the common denominator of 151/12 and ((-71)/(-618))/(21/63).
1236
Let b(t) = t**2 + 6*t + 7. Let v be b(-5). Let g(j) = -2*j + 2. Let d be g(v). Find the common denominator of (-3)/d - (-5)/(-4) and -89/2.
4
Let j be (100/8)/((-14)/(-228)). Let v = j - 14789/70. Let b = -2/123 + 1127/1230. What is the common denominator of v and b?
10
Let a = 106/19 - 1173/418. What is the common denominator of a and -7/8?
88
Let k be (13/(-2))/(2/(-32)). Suppose -k + 4 = -4*l. Suppose 5*q - 2*n = l, 5*n + 1 = 4*q - 2. Calculate the smallest common multiple of q and 6.
42
Let o = 3 + -5. What is the common denominator of 1 + 43/(-4) - o and -29/2?
4
Suppose -2*s = -y - 2*y, -2*s + 16 = y. What is the common denominator of -59/10 and 118/40 + -4 + s?
20
Find the common denominator of 1/3 + (-263)/60 and 10/(-80)*(-28)/(-10).
20
Let u be (-1 - (-2251)/(-2))*1. Let n = u - -1086. Calculate the common denominator of n and -18/7.
14
Let s be (-4)/(-6) - (-11)/(-3). Let k be (s + 0)/((-3)/(-262)). Let r = k - -539/2. What is the common denominator of 79/4 and r?
4
Calculate the least common multiple of (-27)/(-1) + (-5 - -10) and 16.
32
Calculate the common denominator of (-444)/44*1/2 and -11/26.
286
Suppose -4*m - 3*v = 2*v - 103, m - 24 = -3*v. Let k be (142581/m)/((-4)/3). Let c = k - -3963. What is the common denominator of c and -89/16?
48
Let a = 4 + -6. Let m be (7/(-2) + a)*-2. Suppose -n + m = -2. Find the common denominator of 97/10 and n.
10
Let j = -23763 + 451395/19. Let n = -1256/57 - j. What is the common denominator of 93/10 and n?
30
Let l(c) = -c**2 - 9*c - 8. Let f be l(-8). What is the lowest common multiple of -2 + f - (-6)/2 and 4?
4
Suppose 3*w - 65 = x, -5*x - 62 = -5*w + 63. Calculate the smallest common multiple of 76 and w.
380
Let a = 31 + -29. What is the smallest common multiple of a and 12?
12
Let j be (-22316)/2418 - 3/12. Let s = -42/403 + j. Calculate the common denominator of 2/(-9) - 236/720 and s.
60
Let c = -60162/53 + 40348131/35510. Let j = 1/67 - c. What is the common denominator of j and -10/3?
30
Let i be 2/7 + (-24)/(-14). Suppose 0 = -4*u + i*v + 86, 3*v = -2*u + 5*u - 69. Calculate the least common multiple of u and 16.
80
Let h(m) be the first derivative of -m**2 - m + 2. What is the lowest common multiple of h(-1) and 13?
13
Suppose -73 = 3*b + 2*c, 5*b - 4*c + 8*c + 123 = 0. Let s = 48 + b. Suppose -23 = -4*o + s. Calculate the lowest common multiple of 8 and o.
24
Let y(l) = l**3 - 2*l**2 + l + 4. Let d(o) = o**2 + o. Let t be d(-1). Calculate the lowest common multiple of y(t) and 24.
24
Suppose 0 = 2*w + f - 18 - 6, w = -4*f + 12. Suppose -3*o + 12 + 0 = 0. What is the lowest common multiple of w and o?
12
Let j(a) = -a**2 + 10*a - 6. Let f be j(9). Calculate the common denominator of 0 + f/(99/150) and -13.
11
What is the common denominator of (-2)/4 - 11/(-2)*4 and -157/114?
114
Find the common denominator of ((-11)/18)/((-6)/9) and -93/16.
48
Let a = -14 - -8. Let w be (1 + -9)/(a + 4). What is the common denominator of 13/4 and 146/w - (6 + -5)?
4
Suppose 0*p + 2*p = 0. Let k = p + -3. Calculate the common denominator of (11/2)/(27/k) and -17/6.
18
Let w = -9/1586 - -32959/8723. Let p = -553/58 + -21/232. What is the common denominator of p and w?
88
Suppose -4*q + 56 = -0*q. Calculate the lowest common multiple of 10 and q.
70
Let r = -26 - -70. Let i be 6/8 - r/16. What is the common denominator of 97/8 and i - ((-410)/4)/5?
8
Suppose -4*h - 6*j + 64 = -2*j, 4*h = -3*j + 60. Suppose 0 = -0*c - c + 14. Calculate the least common multiple of c and h.
84
Let g(m) = -m**3 + 2*m - 1. Let u be g(-2). Suppose 3*k - u = 3. Calculate the lowest common multiple of 2 and k.
2
Let t = -1590890/9 + 176572. Let a = 137654/711 + t. Let b = 4175/237 + a. Calculate the common denominator of b and -95/2.
6
Let g = 589/20 + 1/20. Let a be (-4)/10 - 3/5. Calculate the common denominator of g and -1 - a/(-12)*254.
6
Suppose 3*z + z + 10416 = -2*m, -5*m - 10410 = 4*z. Find the common denominator of -41/4 and z/280 - (-6)/14.
8
Suppose 0*h - 2*h + 16 = 0. Let z(p) = p**3 - 3*p**2 - 6*p - 6. What is the lowest common multiple of z(5) and h?
56
Let h = 949 + -28519/30. What is the common denominator of h and -62/15?
30
Suppose 5*v = 2 + 3. What is the least common multiple of v and 35?
35
Let r(i) = -i**2 + 7*i + 2. Let p be r(6). Let m = -286 + p. What is the common denominator of 4/(-16) + m/24 and -13/2?
6
Let h = -16083 - -6404. Let g = h - -96667/10. Let o = 9947 + -119515/12. What is the common denominator of g and o?
60
Suppose 0 = 4*r + 2*v + 104, -5*r - 75 = v + 52. Let m = 15 +