 Suppose q + j*p - 5*p = -211, 2*q - 5*p = -452. Let x = q - -1343/6. Calculate the common denominator of x and 14/3.
6
Let z = -174 - -178. Calculate the smallest common multiple of 8 and z.
8
Let s = -1439099/30 - -47975. What is the common denominator of s and -17/3?
30
Let o = -40 - -58. Let b = 5 + -3. Calculate the least common multiple of o and (-248)/(-14) + b/7.
18
Let u(y) = 2*y + 42. Suppose 0 = -4*q + 4 + 12. Suppose -l = l - q. Calculate the least common multiple of u(-16) and l.
10
Suppose 3*h = -3 + 33. Calculate the smallest common multiple of 3 and h.
30
Let s be 52/14 + 10/35. Let c = -11 - -15. Calculate the smallest common multiple of c and -21*(8/(-3))/s.
28
Let z = 64 + -49. What is the lowest common multiple of z and 27?
135
Suppose 0*q = 3*q + 12. Calculate the common denominator of 1034/(-36) - q/18 and 27/11.
22
What is the common denominator of 29/4 and (26/12)/((-3)/27)?
4
Find the common denominator of (-51)/(-84) + 2/(-8) and -97/36.
252
Let p = -18 - -18. Let j = p + 10. What is the smallest common multiple of 10 and j?
10
What is the common denominator of 19/87 and -3*(-2)/6*-5?
87
Let o(r) = r + 3. Let d = -4 - -4. Let i = d - -4. Calculate the lowest common multiple of 9 and o(i).
63
Suppose 0 = -8*y + 7*y + 8. Calculate the least common multiple of y and 4.
8
Let s = -3 + 8. Let f = s + -15. What is the smallest common multiple of (12/10)/((-2)/f) and 14?
42
Let k(f) = f + 8. Let g(i) = i + 7. Let r(z) = -5*g(z) + 4*k(z). What is the least common multiple of 11 and r(-11)?
88
Suppose -2*m + 6*m - 16 = 0. Let c(k) = 4*k - 4. Let d be c(m). Suppose -h = -5*b + 12, -h - 3*h + 5*b = -d. What is the least common multiple of 9 and h?
72
Suppose o + 1 + 1 = 0. Calculate the lowest common multiple of (24/15)/(4/50) and 712/36 + o/(-9).
20
What is the common denominator of 70/9 and (-45)/32 - (6 + -4)*-1?
288
Let a = 1/134 + -168/67. Suppose 4*u - 1138 - 298 = 0. Let m = 3597/10 - u. Calculate the common denominator of m and a.
10
Find the common denominator of (-73)/4 - ((2 - 8) + 3) and -119/24.
24
What is the lowest common multiple of 40 and 45/(-10)*(-4)/3?
120
Let u be 19655/60 + (-3)/(-4). Let w = 348 - u. Calculate the common denominator of w and -61/10.
30
Let a = -3 + 6. Calculate the least common multiple of a and 16/12*-3 + 15.
33
Let j = 1119 - 7855/7. Find the common denominator of ((-2)/(-3))/((-12)/(-429)) and j.
42
Suppose 28 = o + 20. Suppose -4*p + 8 = -0*p. Calculate the smallest common multiple of (-2)/(-3)*(p + 4) and o.
8
Let y(o) = -4771*o**3 + 2*o**2 - 1. Let d be y(-1). Let q = 76381/16 - d. Calculate the common denominator of 15/22 and q.
176
Suppose -3*l + 12 = 3*b - 12, -b = -2*l + 7. Suppose l*n - 9 = 6. Calculate the lowest common multiple of n and 6.
6
Suppose -3*p = -2*j, 5*j = 5*p - 2*p. Let u(o) = -o**2 + o + 8*o**2 + 4 - 2 - 6*o**2. What is the least common multiple of 5 and u(p)?
10
Calculate the lowest common multiple of 22 and (-3)/3*2*-1.
22
Let q(j) = -j**2 - 6*j - 18. Find the common denominator of -93/4 and q(-9).
4
Suppose -2*g = 3*n + 4, -2*n - 12 + 1 = 3*g. Suppose -7 - 13 = -n*d. Calculate the lowest common multiple of d and 14.
70
Let f = -37/42 - 923/168. Let i be -3 - (-2)/((-1416)/10395). Let t = -4/59 + i. What is the common denominator of f and t?
8
Let t = 1138049 - 18215797/16. Let k = 437 + t. Let p = -29/3 + 121/6. What is the common denominator of k and p?
16
Let p = -4/1705 + -73219/40920. Calculate the common denominator of -121/18 and p.
72
Let b be 20/(-15)*(-6)/(-4). Find the common denominator of 16/(b - 56/(-10)) and -14/11.
99
Suppose -15 = -2*y - 1. Let i(w) be the first derivative of -w**3/3 - 7*w**2/2 - 3*w + 3. What is the smallest common multiple of i(-5) and y?
7
Suppose -4*h - 13948 = -3*h. Let r = h + 278899/20. Find the common denominator of ((-9)/(-12))/(15/126) and r.
20
Suppose -3 = -3*g, -2*g - 8 = j - 4*g. Let b(f) = -f**2 - 8*f - 8. What is the smallest common multiple of 7 and b(j)?
28
What is the common denominator of (37/7)/((-90)/42 + 3) and -9/16?
48
Let t = 3367/258 - 38/43. Find the common denominator of -1*3*(-13)/18 and t.
6
Suppose -3*g - 5*p - 48 = 0, -4*g - 76 + 26 = 2*p. Let f = 120/47 - 4141/94. What is the common denominator of g and f?
2
Let v(x) = 2*x**2 + 2. Calculate the smallest common multiple of v(0) and 8.
8
Let p(q) = 18*q + 2. Let y be p(1). Suppose 2*d - w = w + y, d - 10 = 3*w. Calculate the smallest common multiple of 12 and d.
60
Suppose 3*a = w + 1, -2*w + 2 = -w. Let x(n) = 6*n. Calculate the smallest common multiple of 3 and x(a).
6
Suppose 0 = 3*k + k + 5*y - 6, -5*k - 5*y + 10 = 0. Suppose n - k*n = -12. Suppose -7*h = -2*h - 100. What is the least common multiple of n and h?
20
Let i be (-1)/(2/(-8)*2). Suppose 10 = 2*p + i. Suppose -4*f = 0, 0 = -2*m - 3*m + p*f + 70. Calculate the lowest common multiple of m and 22.
154
Let g = -568045/184954 + -2/13211. Find the common denominator of g and -3/2.
14
Let p = -317/6 - -223/3. What is the common denominator of 44/17 and p?
34
Find the common denominator of 10/(-135)*-255*(-2)/8 and 87/8.
72
Let n = -3209 + 70669/22. Find the common denominator of 1005/220 - (-1)/(-4) and n.
22
Let w = 809/44 + -414/11. Find the common denominator of w and -75/236.
236
Suppose 0 = -2*r - r + 24. Suppose m + 36 = 4*y, 7*y - 62 = 2*y - 3*m. Calculate the lowest common multiple of r and y.
40
Calculate the smallest common multiple of (-2 - -35)/(6/4) and 4.
44
Suppose 0 = -t + 33 - 9. Calculate the smallest common multiple of 14 and t.
168
Let d(r) = -r. Let a be d(-2). Find the common denominator of a/3*228/20 and -43/2.
10
Let u be (1 - -2)/(12/(-8)). Let d = -2233/222 - 152/37. Find the common denominator of d and 478/(-132) - u/(-6).
66
Let x = 7 + -5. Let a = -20 - -55. Suppose 5*y + 3*h - a = 0, -h - 2*h - 14 = -2*y. What is the smallest common multiple of x and y?
14
Let q = 40 + -38. Let m = 28 + -14. What is the least common multiple of q and m?
14
Suppose 0*r = r - 7. What is the least common multiple of 10 and r?
70
Suppose 0 = -2*b + 3*s - 0 + 10, 11 = -3*b - 2*s. Find the common denominator of 21/35*-6*1 and (-40)/7 + (-1)/b.
35
Let y = 39804/5 - 7727. Let k = -226 + y. What is the common denominator of -39 and k?
5
Find the common denominator of (-247)/(-20) - (-20)/50 and 79/6.
12
Let b = -34 + 37. Find the common denominator of b and 37/8.
8
Let k(n) = -n**3 - 9*n**2 + 8*n - 2. Calculate the lowest common multiple of 10 and k(-10).
90
Suppose 66 = y + 4*y + 2*w, 0 = -4*w + 12. What is the lowest common multiple of y and 12 + (-9)/(36/(-16))?
48
Let c(h) = -h**2 + 6. Let n be c(0). Let z be (-16681)/2061 - (-2)/n. Let l = z + -4/229. What is the common denominator of -55/8 and l?
72
Suppose 40*d - 37*d - 18 = 0. Calculate the least common multiple of d and 21.
42
Calculate the common denominator of (1 + 91/2)/((-4)/2) and 47/20.
20
Suppose 5*y - 19 - 41 = 0. Suppose 0 = p - 2 - y. Suppose 3*h - 4*t - 58 - 12 = 0, -2*t = 3*h - 64. What is the smallest common multiple of p and h?
154
Suppose -g + 55 - 13 = -4*z, 5*z = 4*g - 113. Calculate the lowest common multiple of g and 22.
22
Let l = -144721/78260 + -3/3913. Calculate the common denominator of l and -95/22.
220
Let p(h) = h**3 + 9*h**2 - 2*h - 13. Let q be p(-9). Suppose -q*l + 4*l = -10. Calculate the least common multiple of 6 and l.
30
Let f = -292025/40746 + 2/6791. Find the common denominator of (90/21)/((-132)/(-112)) and f.
66
Let c = 0 + 3. Suppose 3*t - 3*n - 12 = 0, 0*t + n - 1 = -4*t. Let f = c - t. Calculate the least common multiple of f and 10.
10
Let q = 63258 - 28548. Let d be 8/(-12) + 234826/q. Let c = -3/2314 - d. Find the common denominator of 47/22 and c.
110
Let o(w) = -w**2. Let g be o(2). Let h(p) = p**2 + 4*p + 6. Calculate the least common multiple of 20 and h(g).
60
Let h = 35 + -21. Let w(r) = r**3 + r**2 - r + 16. Calculate the smallest common multiple of w(0) and h.
112
Let h = 16 - 0. What is the smallest common multiple of 7 and h?
112
Calculate the common denominator of 67/10 and ((-13)/(-5) + -2)/(6/(-56)).
10
Let h be 4 + -13 + 0/(-2). Let l = h - -25. Calculate the least common multiple of 20 and l.
80
Suppose 4*p - 135 = -2*u - 663, -u = 3*p + 394. Calculate the commo