2 + 13/36.
18
Let j(a) = a**2 - 31*a + 66. What is the least common multiple of j(29) and 26?
104
Let a = 1 - -3. Suppose 2*c + 3*c + 4*d = 2222, a*c - 2*d - 1788 = 0. Find the common denominator of 1/(-3) + c/(-48) and 19/4.
8
Let n = -1/484 + 19847/1452. Let i(v) = v**3 + 14*v**2 - 6. Let p be i(-14). Find the common denominator of p/2*(-139)/18 and n.
6
Let w be -1*2 + (-292)/(-158). Let r = w - -2248/237. Find the common denominator of r and 43.
3
Let k = -4517/4 - -1109. Suppose 0 = -4*q + q - 6. What is the common denominator of ((-4)/40)/(q/(-51)) and k?
20
Let s(g) = 3*g**2 - g + 0*g**2 + 0*g - 2. What is the lowest common multiple of s(3) and -1*(4 - -16)*-1?
220
Let x = -22725 - -408937/18. Let p be (-2)/1 - (-2 + -240). Calculate the common denominator of (-292)/p - 2/6 and x.
180
Suppose -93*x = -97*x + 120. Calculate the lowest common multiple of 50 and x.
150
Let g(p) = p**2 - 3*p - 4. Let t be g(-6). Let h = 98 - t. Calculate the common denominator of -39/16 and (-4)/12 + 265/h.
16
Let w = 206199/20 - 10312. Find the common denominator of 9/10 and w.
20
Let h be 15/(-48) + 0/1. Let s = 131/16 - h. What is the common denominator of -83/18 and s?
18
Let h = 1 - -5. Let j be (-6)/(-2) + h/3. Suppose 54 = j*m - 4*d, -18 = -2*m + 2*d - 4*d. Calculate the smallest common multiple of m and 1.
10
Let n(s) = -14*s**3 - s**2 - s. Calculate the smallest common multiple of n(-1) and 18.
126
Suppose 0 = -5*p + 5, 2*p - p = 5*i - 4. Let y(a) = 4*a. Suppose 0*h = -3*h + 66. What is the least common multiple of h and y(i)?
44
Suppose -2*m = 5*a - 21, 4*m = -5*a + 5*m + 12. Let l = -12 + 17/4. Calculate the common denominator of l and -2 + 76/(-18)*a.
12
Suppose -2 = n - 8. Suppose -5*y + 7*y - 8 = 0. What is the smallest common multiple of n and y?
12
Suppose 2*j - 2 = 12. Suppose l = 2*z + j, l + 2*z = 9 + 2. Calculate the least common multiple of l and 5.
45
Let p(c) = c**3 + 5*c**2 - 14*c + 6. Calculate the smallest common multiple of p(-7) and 26.
78
Let z(s) = -2*s. Let y be (2 - 0) + (50 - -2). Suppose -4*w + y = 18. Calculate the lowest common multiple of z(-2) and w.
36
Let o(c) = -c**3 + 14*c**2 + 14*c + 18. Let n be o(15). Suppose n*d = -i + 13, -4*i + 2*d + 10 = -0*d. Calculate the lowest common multiple of i and 2.
4
Let n = 754 - 3757/5. Let a be (-4)/6 - 15556/(-9). Let c = a + -1724. Find the common denominator of c and n.
45
Let i = 67 + -34. Let y = -28 + i. Calculate the lowest common multiple of 11 and y.
55
Suppose 4*l - 2 = -2*b, -7 = -2*l + 2*b + 3. Suppose q + 2 = -q - l*t, -2*t = -5*q + 30. Let i = q - 2. Calculate the lowest common multiple of i and 10.
10
Let h be (-6)/6 + 7 + -1. Let a be 38/h*(1 - -4). Let z = -26 + a. Calculate the least common multiple of 12 and z.
12
Let l be (3/2)/(2/4). Suppose -g - 6 = -20. Suppose -2*d = 3*k - g, 0 = l*k - 4*d + 5 + 5. What is the least common multiple of 7 and k?
14
Let m = -35 + 44. Let z(u) = -2*u - 20. Let f(g) = g + 19. Let o(b) = 3*f(b) + 2*z(b). What is the least common multiple of o(m) and 4?
8
Let t = 32 - 28. What is the least common multiple of t and 16?
16
Let y be 6/4*(-20)/1254. Let w = 11525/1254 + y. Calculate the common denominator of 14/11 and w.
66
Suppose 0 = -f - 4*t + 4, -3*f + t + 4 = -8. Suppose -f*i + 57 = -5*v, -4*i + 0*v = -2*v - 42. Calculate the lowest common multiple of ((-3)/6)/((-8)/48) and i.
24
Let w be -1 - (0 + (-324139)/18). Let t = w - 18013. Calculate the common denominator of -1 - 1/20*-7 and t.
180
Let o = 415335124/65621853 + -16/350919. Let c = -20/187 + o. Calculate the common denominator of 1/23 and c.
207
Let y = 58/13 - 601/91. Let f(u) = -u**3 + 4*u**2 - 4*u + 2. Let m be f(2). Calculate the common denominator of y and m + ((-825)/24)/(-5).
56
Let k(r) = r**2 + r - 4. Let v be (4*3)/4 - -2. Suppose 3*t - v*t = -22. Calculate the lowest common multiple of k(-4) and t.
88
Let o be (-4)/(-12) + 157/(-3). Calculate the common denominator of 14/(((-240)/o)/5) and 61/34.
102
Let m be ((-1)/3)/((-3)/(-7437)). Let l = m + 54583/66. Find the common denominator of -9/40 and l.
440
Let b be 1/3 + 535/15. Suppose 0 = -3*j - 0*j + b. What is the smallest common multiple of j and 4?
12
Calculate the common denominator of 6/9 + 326/60 and -23.
10
What is the smallest common multiple of 18 and (-17)/((4 - 7)/(-6) + -1)?
306
Let i(s) = -s**2 + 3*s + 5. Let r be i(5). Let v = r - -7. What is the least common multiple of 14 and v?
14
Let z = 4 - -4. Suppose 7 = 4*c - 1. Suppose 0 = -c*m + 4*q + 28, -2*m = -0*m + 4*q + 4. Calculate the smallest common multiple of z and m.
24
Let i(x) = -x + 10. Let u be i(8). Suppose -2*r = -4*q + 10, 4*r + 8 = 3*q + u*q. Calculate the smallest common multiple of q and 18.
36
Let p = -39 + 61. Suppose 16 = 4*i + 5*j, 3*i + 0*j - 12 = 2*j. Calculate the lowest common multiple of ((-8)/(-6))/(i/42) and p.
154
Let c be ((-1318)/4)/(2/(-4)). Suppose -a = -2*f + 7*f - 835, -4*f = -a - c. Calculate the common denominator of (f/30)/(2/(-3)) and 17/9.
90
Suppose -c + 19 = -3*w, 6 = 4*c - 4*w - 46. Calculate the least common multiple of c and 5.
10
Suppose f + 2 = 0, 3*f + 37 = -2*k - 23. Calculate the common denominator of 22/3 and (-3)/3 - k/(-21).
21
Let r(a) = -a**3 - 3*a**2 - 3*a - 4. Let t be r(-3). Suppose 2*i - 2*w - 55 = -3, 4*w + 128 = t*i. Calculate the least common multiple of 18 and i.
72
Let k be 2 + 3/3*25. Let n be 28/2 - (2 - 1). Let c = k - n. Calculate the smallest common multiple of c and 14.
14
Suppose -3*i + 10 + 6 = b, 3*b + 2*i - 20 = 0. Calculate the smallest common multiple of b and 22.
44
Let s(o) = 4*o**2. Let q be s(-1). What is the common denominator of 3/(-4)*(-508)/(-54) and ((-8)/(-144))/(q/330)?
36
Let j be 1*(-2 + 4)*1. Suppose j*o = 6 + 14. What is the least common multiple of 81/4 - ((-39)/(-12) - 3) and o?
20
Let c = -648454 - -7140163/11. Let t = -650 + c. What is the common denominator of -16/7 and t?
77
Let o = -35 - -49. Let q = 2 - -3. Calculate the least common multiple of (-2 + -5)*(-4)/o and q.
10
Let t(p) = p**3 - 13*p**2 + 13*p + 16. Let n be t(12). Calculate the common denominator of (-129)/n + 3/(-12) and 113/10.
70
Suppose 48 = 3*x + x. Calculate the lowest common multiple of 10 and x.
60
Let c = -2 - 0. Let n be (c - 1)/(-3)*3. Calculate the common denominator of 99/2 and (-4 - n)*(-7)/(-22).
22
Let w = 16/13 - 184/65. Find the common denominator of w and 53/60.
60
Calculate the smallest common multiple of ((-140)/25)/(4/(-10)) and 2.
14
Suppose 11 = 2*i - 5*l - 10, 0 = 3*i - 3*l - 9. Let g = 26149/2410 - -12/241. Calculate the common denominator of (-14)/9 - i/3 and g.
90
Let s(t) = 4*t**2. Let h be s(-1). Suppose -h - 2 = -b. What is the smallest common multiple of 8 and b?
24
Suppose -m + 120 = -4*m. What is the common denominator of (-114)/m*(-6)/9 and 16/11?
110
Suppose -8 = 2*g + 4. Let x = -2 - g. What is the common denominator of -151/6 and 3/(-27)*(-30)/x?
6
Suppose -3 = 2*q + 3. Let x(o) be the third derivative of o**5/30 + o**4/12 - o**3/6 + o**2. Calculate the least common multiple of x(q) and 1.
11
Suppose -a = -0*a - 2. Suppose -3 = 3*b - 15. Calculate the lowest common multiple of a and b.
4
Suppose -2*c - 3*r - 41 = -202, -r = -3*c + 247. What is the smallest common multiple of 8 and c?
328
Let i be ((-1)/(-3))/(46/(-288)). Let n = 15/92 - i. What is the common denominator of n and 43/(-6) - (-4 + 6)?
12
Let z(s) = 6*s + 2. What is the least common multiple of 24 and z(2)?
168
Let y = 18643/13706 - 3/979. What is the common denominator of (1 + (-45)/(-190))/1 and y?
266
Let r = -726 + 290. Let c be (-6)/(-7)*(-28)/r. Let g = c - -2701/436. Find the common denominator of -3/11 and g.
44
Let v(u) = -2*u - 3. Let q be v(-6). Suppose 3*p - 68 = 2*o, -o + 7 = p - q. Let r = p - 11. What is the least common multiple of r and 2?
18
Suppose 2*z - 26 = 32. Let i = 7 - z. What is the common denominator of -41/4 and -1*((-505)/i)/(-5)?
44
Let i = 39 - 19. Suppose -i = t - 3*t. What is the lowest common multiple of t and 1?
10
Let o = -31/63 + 4399/1386. What is the common denominator of o and 71/16?
176
Let h(g) = 4*g**3 - 2*g**2 + 1. Calculate the least common multiple of 3 and h(1).
3
Suppose -4*f + 8 = -0*v + 4*v, 0 = 4*f + v - 2. Let x be f + 3 + (-1)/(-1). Su