60
Let m(v) = 594*v - 8. Let r be m(1). Let d = r + -1775/3. Calculate the common denominator of 95/36 and d.
36
Let h(p) = p**3 + 6*p**2 + p - 3. What is the lowest common multiple of 15 and h(-3)?
105
Let y(v) = 24*v**2 + 3. Let r be y(-3). Find the common denominator of r/70 + 5/(-25) and 43/8.
56
Let z = 104 - 99. Suppose 0 = z*b + 2 - 42. What is the lowest common multiple of 2 and b?
8
Let v = -45/11 + 1981/132. What is the common denominator of v and 61/92?
276
Let n(i) = -12*i**3 - 2*i**2 + i + 1. Suppose -3*z + 3*x = -10 - 17, -25 = 5*x. What is the lowest common multiple of n(-1) and z?
20
Suppose -r = -5*r + 60. Let t = r + -13. Suppose t*n + 5*x = -3*n + 60, -n + 15 = 4*x. What is the lowest common multiple of n and 3?
33
Let v(z) = 4*z + 6. Let a(b) = -5*b - 7. Let h(m) = 3*a(m) + 4*v(m). Let t be h(-6). Calculate the smallest common multiple of (-31 + 16)/(t/2) and 7.
70
Let f = 1106270039/201736 + -826445/151. Let y = -45/167 - f. Find the common denominator of ((-4)/(-10))/((-36)/735) and y.
24
Suppose -4*p - 3*o - 2*o - 25 = 0, 3*p - 2*o = -36. Let u = p - -9. Calculate the lowest common multiple of (-16)/8*(u + 0) and 6.
6
Suppose 6*g = 3*g + 3*p - 3, 0 = -g - 3*p - 5. Let b = 68/145 + 27/29. Calculate the common denominator of b and ((-284)/54)/(g/(-3)).
45
Let b = -19213/9747 + -104/361. What is the common denominator of -42/11 and b?
297
Suppose 0 = 4*i - 4*x - 24, 5*x + 19 = 2*i - 8. Suppose i = -2*g + 2*c + 5, 5*g = 2*c + 16. Let q = 13 - g. Calculate the least common multiple of 2 and q.
18
Calculate the common denominator of (-6)/(-4)*7*(-4)/54 and -11/9.
9
Calculate the lowest common multiple of 56 and -25*(264/(-140) + (-8)/(-28)).
280
Let l(n) = -33*n + 2. Let h be l(-1). Let q = h + -21. Calculate the smallest common multiple of 2 and q.
14
Suppose -6*b + 4 = 16. Find the common denominator of (1 + b)/((-28)/192) and -63/5.
35
Suppose 5*l - 386 = -71. Suppose -87 = -5*u + l. What is the least common multiple of u and 6?
30
Suppose -16*t - 16 = -336. Calculate the least common multiple of 22 and t.
220
What is the common denominator of 119/78 and (1 + (-132)/117)/(1/30)?
78
Let c(l) = 13*l**3 - 9*l**2 - 5*l + 2. Let y(q) = -6*q**3 + 4*q**2 + 2*q - 1. Let p(m) = 3*c(m) + 7*y(m). What is the lowest common multiple of p(-1) and 18?
36
Let y = 30071/7 - 4304. Let f = -7445 + 59657/8. Calculate the common denominator of y and f.
56
Suppose 0 = 4*d + 6 - 26. Let h = d + 4. What is the common denominator of (-6)/12*(-80)/h and -13/3?
9
Let y = 295 - 294. Calculate the common denominator of -8/2073 and y.
2073
Calculate the smallest common multiple of (3 - (-77)/(-22))*-84 and 132.
924
Suppose 2*s = -5*p - 2, 2*p - 14 = -s - 13. Calculate the common denominator of s/((-56)/(-20) + -3)*-1 and -59/7.
7
Suppose l = -3*i, -5*i + 2*i - 6 = 0. Suppose 94 - 226 = -l*d. What is the least common multiple of d and 32?
352
Let p(z) = 52*z**2 - 3*z + 17. Let c be p(-7). Let v = c + -36271/14. Find the common denominator of v and -56/3.
42
Let w(f) = -f - 49. Let q be w(-16). Find the common denominator of (q*(-11)/20)/((-12)/8) and 53/8.
40
Let b be -3*(-1)/(-1) - -46. Let v = b + -30. Suppose -2*r - v - 27 = -3*j, -j + 22 = -5*r. What is the least common multiple of 4 and j?
12
Let u = -1186 + 1228. Calculate the least common multiple of u and 84.
84
Suppose 3*z - 3*c = 2*z + 8934, -2*z + 17844 = 2*c. Let r = z + -62360/7. Let i = r + -3757/224. Calculate the common denominator of i and -137/12.
96
Let b be ((-108)/(-16) + -7)*-4. Suppose 31 = k - 2*w, 3*k - 7*w = -2*w + 98. Suppose -b = 4*g - k. Calculate the smallest common multiple of g and 6.
30
Let r = 187179381/14 - 13377121. Let p = r + 7161. What is the common denominator of p and (-79)/(-10) - 2/5?
14
Let k = -709022315/28 + 25306851. Let c = k + 15377. Let f = -313/144 + 29/18. Calculate the common denominator of f and c.
112
Let c(n) = -n**2 + 3*n - 3. Let w(z) = 2*z**3 - z**2 + 1. Let f be w(1). Let y be c(f). Let a = y + 19. Calculate the least common multiple of 12 and a.
36
Let w = 27/29 + -519/464. What is the common denominator of w and -13/6?
48
Suppose 6*y + 90 = 8*y. What is the smallest common multiple of y and 60?
180
Let t(v) = 4*v**2 - 5*v + 4. What is the least common multiple of 30 and t(4)?
240
Let q be 11 - -252 - (-1 + 0). Let g = 4240 - q. Let k = g + -63531/16. Calculate the common denominator of k and -37/20.
80
What is the common denominator of -1/4 and 666/112 - (-6 - 744/(-126))?
24
Suppose -10*f + 80 = -0*f. Suppose 5*q - 45 = j, -j = -0*j - 5. Suppose -3*i + q = -8. What is the least common multiple of f and i?
24
What is the common denominator of 45/22 and (-3)/(-18) + (2776/2640 - 2)?
110
Suppose -2*q - d - 4*d + 34 = 0, q = -4*d + 11. Suppose -2*i + 9 + q = 0. What is the least common multiple of 60 and i?
180
Let d = -420 + 436. Let r = -9 - -11. What is the least common multiple of d and r?
16
Let k(u) = -2*u**2 + 76*u + 120. Calculate the lowest common multiple of 49 and k(39).
294
Let x be 78637/52 - (-1)/2. Let l = -1495 + x. What is the common denominator of 0 + (45/22)/3 and l?
44
Let i = 10 + -6. Suppose 2*x = -5*q + 16, 3*q - 2 = 5*x + 5*q. Calculate the lowest common multiple of (-69)/(-63) - x/(-21) and i.
4
Let k(j) = -j**3 + 2*j - 1. Let p be k(1). Suppose p = 4*v + 5*m - 56, 0*v - 2*v + 2*m = -28. What is the lowest common multiple of 8/v - 649/(-77) and 3?
9
Let q(x) = 2*x - 33. Calculate the least common multiple of 8 and q(42).
408
Let g = 8 - 2. Calculate the smallest common multiple of (-123)/(-18) + (-1)/g*-1 and 8.
56
Let u = -1918/69 + 686189/24564. Calculate the common denominator of 61/8 and u.
712
Calculate the common denominator of 1*-1 - 1515/(-225) and -83/75.
75
Let j = -954 + 1042. Calculate the least common multiple of j and 22.
88
Let z(q) = q**3 + 5*q**2 - 27*q - 48. Let i be (3 + -1)*(19 - -1). Suppose -4*f + 24 = -i. Calculate the smallest common multiple of z(-2) and f.
144
Let f(z) = -24*z + 21. What is the lowest common multiple of 70 and f(0)?
210
Suppose 4*m - 11*g - 88 = -13*g, -2*g - 32 = -m. What is the smallest common multiple of m and 22?
264
Suppose 9*v - 1485 - 54 = 0. Calculate the smallest common multiple of 15 and v.
855
Calculate the common denominator of (51/(-8))/((-9)/12) and 77/38.
38
Suppose -4*a + 11*a = 98. What is the smallest common multiple of a and 104?
728
Let i = 46 - 40. Suppose 0 = b - i*b + 75. What is the smallest common multiple of b and 7?
105
Let n(y) = y**2 - 9*y + 20. Let c be n(6). Suppose 4*s = 2*d + 14, s = 2*d - c + 4. Let v = -1 + 2. Calculate the least common multiple of d and v.
1
Let k be 2*(88243889/(-24) + 2). Let f = k - -7363300. Let m = f + -9641. Find the common denominator of 21/20 and m.
60
Let s be (-2)/(5/(-105)*3). Calculate the common denominator of (91/s)/((-8)/(-10)) and -7/16.
16
Let f = -2519 + 2529. What is the lowest common multiple of 240 and f?
240
Calculate the least common multiple of (1 + 3)/(6*(-6)/(-5472)) and 8.
608
Calculate the smallest common multiple of 8 and ((-19)/3 + -1)/((-161)/11109).
2024
Suppose 44*k = 12*k - 128. Let u(s) = -s**2 - s + 11. Let l be u(0). Let w = l + k. Calculate the lowest common multiple of 1 and w.
7
Find the common denominator of (-5)/8*5203/(-645) and -41/10.
120
Suppose 4*h - 6 - 2 = 0. Suppose 4*w = 3*k - 8, -2*k - 4*w - 1 = -13. What is the least common multiple of k and h?
4
Let b(t) be the first derivative of t**3/3 - 2*t**2 - 13*t + 13. Calculate the least common multiple of 9 and b(7).
72
Suppose 5*x = 4*c + 50, 19 - 59 = -4*x - c. Suppose 3*y - 3*i - 51 = 0, -2*y - 4*i + 28 = -0*y. Calculate the lowest common multiple of x and y.
80
Suppose -4*k - 83 = -87. What is the least common multiple of 1 and k?
1
Suppose 4*s = -4*s. Suppose s = -0*q + 5*q - 40. What is the lowest common multiple of q and 4?
8
Let d = 144797/100 + -1448. Find the common denominator of d and -53/40.
200
Let f(z) = -z**3 - 6*z**2 - 9*z - 16. Let p be f(-5). Find the common denominator of ((-6)/(-1 + p))/(8/10) and 35/2.
2
Let n = -853 - -5923/7. Let c be ((-8)/20)/(3/(-90)). What is the common denominator of n and (38/c)/((-22)/(-99))?
28
Calculate the common denominator of ((-5)/(-40))/(5 + 874/(-200)) and -62/63.
126
Let 