).
16
Let v(m) = 3*m**3 + 3*m**2 + 3*m. Let g(z) = 7*z**3 + 5*z**2 + 7*z - 1. Let o(i) = 2*g(i) - 5*v(i). What is the smallest common multiple of o(-5) and 9?
9
Let z = 7 + -21. Calculate the common denominator of 93/2 and (z/3)/((-10)/6).
10
Suppose 12 = 3*m - 18. Calculate the least common multiple of 12 and m.
60
Let s = -571/2 - -1444/5. Calculate the common denominator of s and -59/6.
30
Let d be (-36)/14*-7*1. Suppose 2*y - 2 - 4 = 0. What is the smallest common multiple of 5 + (y - d/3) and 2?
2
Find the common denominator of 1/8 and (4/(-44)*-1)/((-2)/(-34)).
88
Suppose 0 = -h - 0*h + 11. Let f = h - -25. Suppose 1 = r, 0 = -2*k - 3*r - r + f. Calculate the least common multiple of k and 20.
80
Let b be -8*(-1 - 15/4). Suppose -4*y = -2 - b. Calculate the smallest common multiple of 12 and y.
60
Suppose -t = -5*t - y + 19, 3*y - 21 = -3*t. Suppose 6 + 2 = -t*j. Find the common denominator of 23/10 and 60/14 + j/1.
70
What is the smallest common multiple of 12 and 10 - 4/6*(2 + 1)?
24
Suppose -4*u + 4*z = -24, 0 = 5*u - 0*z + 4*z - 48. Calculate the least common multiple of ((-9)/15)/(1/(-5)) and u.
24
Let m be -1 + (473379/(-36))/(-1). Let n = -13141 + m. What is the common denominator of ((-3)/(-7))/(4/(-58)) and n?
84
Let c = 71 - 25. What is the smallest common multiple of c and 4?
92
Let t be (-55)/(-2) - 2/(-4). Suppose -l + t = -2*z, 2*l - 3*z + 0*z - 54 = 0. Suppose 6*w - l = 4*w. What is the lowest common multiple of 8 and w?
24
Let w = 2/15753 - 1622587/220542. What is the common denominator of -15 and w?
14
Suppose 3*r + 4 + 10 = i, 0 = 3*i + 5*r + 14. Calculate the least common multiple of i and 27.
54
Let a = -438 + 2659/6. What is the common denominator of -61/10 and a?
30
Suppose -22 = -5*k + 2*s, -5*k + 10 = 4*s - 36. Let o = -4 + k. Suppose -p - o*l + 8 = 0, 5*p + 4*l - l = 47. Calculate the lowest common multiple of p and 6.
30
Let u be (-2)/(-4) - 63/(-6). Let v = u - 6. Suppose 0*n + 4*n - v*p = -48, 2*n = -p - 24. What is the common denominator of n and -37/7?
7
Let u be (-108)/21*(-7)/2. Let o = 21 - u. What is the lowest common multiple of o and 3?
3
Let n be (6/3)/(2/(-7)). Let o = 1 - n. Calculate the least common multiple of o and 12.
24
Suppose 12 = 2*d - 0*d. What is the common denominator of (-716)/(-140) - d/(-10) and 41/8?
56
Suppose 0*u - 5*u - 5*o + 5 = 0, -5*o = -2*u + 9. Calculate the least common multiple of u and 16.
16
What is the smallest common multiple of 5 and 8/(-6)*((-5)/20 - 5)?
35
Suppose 0 = -w - 0*w + 4. Suppose 2*g + 13 = 2*x - g, 15 = -5*g. Suppose 4*p = -b + 30, 2*b - 21 - 9 = -x*p. Calculate the least common multiple of w and b.
20
Let v = 9714 + -2496495/257. Let j = v + -1859/5140. Find the common denominator of -27/14 and j.
140
Suppose 2*y + 3*a = 25, -27 = -y + 4*a - 9. What is the least common multiple of 46 and y?
322
Let u = 52 + -25. Suppose 1 = 2*z + 5*p - u, -3*p + 28 = 4*z. Suppose 0*c = -z*c + 48. What is the least common multiple of c and 18?
36
Let v = -18 - -30. Calculate the smallest common multiple of v and 18.
36
Let m = 9 + -6. Suppose -59*g + 15*g = -176. Calculate the least common multiple of g and m.
12
Let a be -1 + (1*-1 - 10). Let k(x) = -8*x - 5. Let q be k(-1). What is the lowest common multiple of 2/(0 - q/a) and 18?
72
Let y = 11 - -8. Suppose -4*i + 2*u + y = 7*u, -2*u + 1 = i. Let h(d) = 2*d**3 - 2*d**2 + 1. Calculate the least common multiple of h(1) and i.
11
Let p = -4845907/10 - -485707. Let z = p - 1118. Calculate the common denominator of z and 40/3.
30
Let y be 3/5 - 12/20. Suppose -g + 4*g - 36 = y. Calculate the least common multiple of 8 and g.
24
Let t = 0 - -2. Suppose t + 2 = 2*m. Calculate the smallest common multiple of m and 22 - 0/(-2) - 0.
22
Suppose 102 = 5*z + 5*d - d, 57 = 3*z + d. Let p(c) = c**2 + 7*c. What is the lowest common multiple of z and p(-9)?
18
Let b be 2/31*(-943)/(-3). Let j = b - -12/31. Find the common denominator of j and ((-1)/(-6))/(12/(-224)).
9
Suppose -5 = -3*b + 4. Calculate the smallest common multiple of 5 and 1 - (-1 + -2)*b.
10
Let y = -204/6965 + 17425241/6965. Let z = -2492 + y. Find the common denominator of -5/9 and z.
45
Let f = -22 + 40. Calculate the smallest common multiple of 30 and f.
90
Let x = 37 + -31. What is the smallest common multiple of 2 + (-1 + -3)*-3 and x?
42
Let b = -5 + -17. Find the common denominator of -40/9 and b.
9
Let x = -22 + 15. Let b = 8 + x. Calculate the lowest common multiple of 2 and b.
2
Let r = -11427/1730 + -51/173. Let v = 18/145 + -10439/1160. What is the common denominator of v and r?
40
Find the common denominator of 4/6 + (-68)/(-6) and ((-411)/18 - -4) + 0.
6
Let z(k) = -k**2 - 10*k - 5. What is the smallest common multiple of 20 and z(-9)?
20
Let y be (-93926)/10416 - 2/6. Let h = y - -162/31. What is the common denominator of -79/64 and h?
64
Let g(h) = h**3 - 8*h**2 - 10*h + 13. Let p be g(9). What is the lowest common multiple of ((-1)/2)/((-1)/2) and 2/(-8) + 41/p?
10
Let m be (-1)/(-2) + (-3)/(-2). Suppose s - 5*s - 3*v + 26 = 0, -v = m. Calculate the lowest common multiple of 9 and s.
72
Suppose -5*f = 3*z + 19, z + 2 = -1. Calculate the common denominator of (-6)/(-32)*-2 - f and 273/(-49)*2/(-12).
56
Suppose 10 = 3*y + 2*y. Let a = 4 - y. Calculate the least common multiple of 16 and a.
16
Let v be 1 - (0/1 - -9246). Let p = -60253871/180 + 2929462/9. Let b = v - p. Calculate the common denominator of b and 75/22.
220
Let i be -1*(-3 - (-885778)/44). Let l = -20125 - i. What is the common denominator of -7/24 and l?
264
Calculate the common denominator of (-4 + 3)*(-236)/28 and -29/7.
7
Let b = -1123/30 - -104/15. Find the common denominator of 71/10 - (-2)/(-1) and b.
10
Let v = 117041/88 + -14934/11. Let s = 883/24 + v. Find the common denominator of s and 56/3.
6
Let l be (-2)/7 + 34820/122115. Let t be 0 - (-709)/69780*-502. Let i = l - t. Find the common denominator of -19/10 and i.
10
Suppose -2*f + v = 2*f - 118, 4*v = 4*f - 112. What is the lowest common multiple of f and 12?
60
Let q = -7/151 - -9569/1208. Find the common denominator of 41/2 and q.
8
Suppose 4*r + 4*j - 12 = 0, 3*r - r - j + 3 = 0. Suppose -3*u + r = -24. What is the smallest common multiple of u and 1?
8
Let b = 9 - 5. Let d be 24/16*b/2. Suppose d*k = -5*c + 22 + 11, -k + 23 = 3*c. Calculate the lowest common multiple of c and 11.
99
Let y = 26 - 21. What is the smallest common multiple of (8/14)/(y/70) and 2?
8
Suppose 2*a - 4 = -0. What is the common denominator of 43/2 and 66/8 - -1 - a?
4
Let j be 3 + (-600)/117 - 4/2. Let g = -132/83 - -8688/1079. Let h = j + g. Calculate the common denominator of 35/3 and h.
3
Calculate the lowest common multiple of 10 and (-3250)/(-275) - 4/(-22).
60
Let a = -3 + 6. Suppose 0 = a*b - 11 - 4. Suppose 0 = -2*w + 5*o + 6 + b, -3*o + 3 = 0. Calculate the lowest common multiple of w and 3.
24
Let w = 27 + -15. Let c(j) = j**3 + 12*j**2 + 10*j - 7. Calculate the least common multiple of w and c(-11).
12
Let x = -54 - -84. Suppose 0*a = 5*a + x. Let m = 16 + a. What is the least common multiple of 14 and m?
70
Suppose -p - 395 - 178 = 0. What is the common denominator of p/(-84) + 3/(-12) and 13/11?
77
Find the common denominator of 462/(-4)*10/510 and 89/8.
136
Let d(k) = -124*k**3 - k**2 + 6*k + 5. Let x be d(-4). Let a = 126337/16 - x. Let p = 41189/8 + -5157. Find the common denominator of a and p.
16
Suppose -u - 153 - 435 = -5*r, 2*r - 5*u - 249 = 0. Calculate the common denominator of (r/6)/(1 - -3) and -81/16.
16
Calculate the lowest common multiple of ((-9)/(-2))/(33/44) and 30.
30
Calculate the common denominator of (-36)/(-54)*114/56 and -5/22.
154
Calculate the least common multiple of 7 and ((-28)/(-6))/((-4)/(-6)).
7
Let u = 857635/3 + -5949925/21. Let x = u - 2553. What is the common denominator of 87/8 and x?
56
Let j = -2792 + 27841/10. Calculate the common denominator of j and -1.
10
Suppose 0 = 2*j - 6. What is the smallest common multiple of j and 10?
30
Find the common denominator of -19/18 and 35/(-4)*12/(-20).
36
Let u(k) = k + 198. Let t be u(0). Let a = 8 - 1. Calculate the common denominator of 2/a - t/(-140) and -56/11.
110
Let x(h) = -h**2 - 6*h - 5. Let t be x(-4). Suppose t*y - 50 = -2*y. What is the small