4*r + 8. Let y(v) = 5*a(v) + 7*l(v). Let f be y(0). Suppose 56 = f*j - j. Calculate the lowest common multiple of j and 2.
14
Let u be 3/1 - (30 - 1). What is the common denominator of (u/(-1092))/((-12)/14) and -121/36?
36
Let f be (216/(-30))/(3/15). Let r = -21 - f. Find the common denominator of (12/(-35))/(1/r) and -34/11.
77
Let d = 33 + -28. Suppose -d*t = 39 + 1. Calculate the lowest common multiple of 20 and t*(-1 + (-2)/2).
80
Suppose -4*n - 14 = 5*w, 4*w + 5*n = -0*n - 13. What is the common denominator of -34/7 and 3 - (61/16 + w)?
112
Let r(m) = -m**3 - 5*m**2 - 2*m - 5. Let a = 8 - 4. What is the lowest common multiple of (a/10)/((-4)/(-60)) and r(-5)?
30
Let f = 68 - 108. Let u = 109945/14 - 7857. Calculate the common denominator of u and 2 - ((-206)/f + -1).
140
Suppose -3*n = -j - 47, -4*n - 2*j = 2*j - 68. Let b = 20 + -8. What is the lowest common multiple of b and n?
48
Let w(m) = 4*m - 9. Let g be w(6). Let c = g + -72. Let h = c - -83. What is the lowest common multiple of 18 and h?
234
Let u be 2/(-10) + 1/5. Let s be 0*(-4)/(u - 4). Suppose -4*x + 3*k - 4 = 0, s*x + 5*x - 26 = -4*k. Calculate the smallest common multiple of x and 4.
4
Let n be 2*(-3)/(-18)*39. Suppose 6 = -4*k + 4*v - 9*v, 5*k - n = 4*v. Find the common denominator of (-366)/9*k/(-8) and -83/2.
12
Let g = 3 + 1. Suppose 3*i - 66 = -4*h + 248, -4*h + 304 = -2*i. Suppose -h*f + 82*f - 80 = 0. What is the least common multiple of g and f?
16
Let o = 1108225/44 + -25188. Calculate the common denominator of -111/44 and o.
44
Let p = 670279213399/722 + -928364747. Let h = p + 2/361. Let x = h - -172. What is the common denominator of x and 3/10?
10
Suppose -3*k + 26 = -2*k - 5*l, 0 = 5*k + 3*l - 186. Calculate the lowest common multiple of k and 90.
180
Suppose -3*a + 3*l - 4*l = -45, -4*a = 3*l - 65. Suppose -5*i + 8 = 2*u - a, 0 = 3*i + 2*u - 10. Let j = 3 + i. What is the lowest common multiple of j and 10?
90
Suppose 42*m = 39*m + 5*o, 2*m = 2*o + 4. What is the least common multiple of 375 and m?
375
Let f = 18 + -17. Calculate the common denominator of (-236)/10*(-2)/(-4) and f/1 + 0 + 17/9.
45
Let c(u) = -6*u. Suppose -3 = 2*a + 2*y + 41, -a = 5*y + 10. Calculate the lowest common multiple of c(-1) and ((-24)/15)/(5/a).
24
Let o = 315410/21 - 15023. Find the common denominator of ((-85)/(-10) + -6)/((-9)/(-1)) and o.
126
Let o be ((-5266)/1200)/(24/(-20)). Let v = o - -35/144. What is the common denominator of 67/10 and v?
10
What is the least common multiple of (-2)/(-6) - (-8)/48*238 and 60?
120
Suppose -11 - 82 = 3*h. Let c = -5 - h. Calculate the smallest common multiple of c and 14.
182
Let g(p) = -p**3 + 7*p**2 - p - 14. Calculate the lowest common multiple of 27 and g(4).
270
Calculate the smallest common multiple of -25 + 179 + 0 + 0 and 22.
154
What is the lowest common multiple of (-2684)/(-10) + (-112)/280 and 10?
1340
Suppose 0 = 3*a - 4*p - 100, -35*p + 34*p = 4*a - 165. What is the least common multiple of a and 15?
120
Let d = -887 - -1578. Let w = d + -4177/6. What is the common denominator of w and 55/16?
48
Suppose 0 = 4*h - 16, 2*x + 0*x = 3*h + 30. What is the smallest common multiple of x and 70?
210
Let b = 11 - 10. Let l = -8 + 13. Suppose -4*u = l*f - 69, -3*u + 43 = 2*f - 0*f. Calculate the smallest common multiple of u and b.
11
Let t be (-1)/(6/(-51))*(-46)/5. Let h = t + 3314/45. Calculate the common denominator of h and 39/7.
63
Let c be (4 - (0 + -3 + 3)) + -4. Suppose -3*z + w + 19 = c, -4*z - 3*w - 29 = -9*z. Calculate the smallest common multiple of 26 and z.
182
Let z(y) = -y**2 + 7*y. Let n be z(3). Find the common denominator of ((-63)/n)/(36/104) and -53/12.
12
Suppose -w - 3*i + 18 = 0, -4*w + 2*i = w - 22. Let n = 71 - 111. Let v = n - -50. What is the lowest common multiple of v and w?
30
Suppose 27*l + 144 = 35*l. What is the smallest common multiple of l and 255?
1530
What is the common denominator of -37/176 and (((-228)/(-8))/(6/14))/(-72)?
1584
Suppose -5*d + 22 + 848 = 0. Suppose n = -0*n + v + 44, 4*n - d = 5*v. What is the least common multiple of n and 18?
414
Let p(c) = 2*c**3 - 11*c**2 + 16*c - 2. What is the lowest common multiple of 45 and p(6)?
1170
Let l be (-40)/(-3)*(-54)/45. Let d = l - -27. Calculate the common denominator of 54/11 and 430/12 + d/(-33).
22
Calculate the common denominator of 37/220 and 63/(-42)*(-170)/(-54).
1980
Let u(g) = g**3 + 28*g**2 + 25*g - 48. Calculate the least common multiple of u(-27) and 60.
60
Let o = 2495 + -2239. Calculate the least common multiple of o and 64.
256
What is the common denominator of ((-4066)/2156 - -4) + 2/(-1) and 117/20?
10780
Let s be (-9)/((-63)/(-2)) - (-548)/1869. Let f = 5431/267 - s. Find the common denominator of f and -56/3.
3
Let a(v) = 95*v + 573. Let h(o) be the first derivative of -o**3/3 - 4*o**2 - 6*o + 1. What is the smallest common multiple of a(-6) and h(-6)?
6
Let h = -662 + 742. What is the lowest common multiple of 80 and h?
80
Let p(s) = -s**3 - 7*s**2 - 4*s + 17. What is the lowest common multiple of 3 and p(-6)?
15
Suppose -24 = -3*m + 7*m + 4*c, m + 4*c = 0. Calculate the common denominator of (-350)/m + (-4)/16 and (2/(-32))/(3/183).
16
Suppose -2*j - 4 = -3*j - 2*c, 0 = -j + 2*c. Let p(z) = 14*z**j - 13*z**2 + 16 - 2 + z - 8*z. Calculate the lowest common multiple of p(6) and 5.
40
Let y = -1527/286 - 4513433/4862. Let r = 251 + -1184. Let s = y - r. What is the common denominator of -29/7 and s?
119
Let i(g) = 23*g + 149. Let m(b) = b + 5. Calculate the lowest common multiple of i(-4) and m(10).
285
Let c be 2/13 + 241/1560. Let d = c + -11/10. What is the common denominator of 83/21 and d?
168
Suppose -2 - 8 = -5*u. Suppose -2*x + 2 = 5*a, -a - u*x = 2*x - 4. What is the common denominator of 95/55 - a - 1 and -17/11?
11
Suppose 5*a - 4 = 36. Suppose c + a = v - 0*c, 2*v - 3*c = 21. Find the common denominator of (-163)/48 - v/(-9) and -89/2.
16
Let t(r) = r**2 - 19*r + 99. Let y = 85 - 56. Let s = y - 19. Calculate the lowest common multiple of s and t(9).
90
Suppose 3*s + 2*s = -590. Calculate the common denominator of -53/12 and (-7)/35 + s/(-540).
108
Let h(t) = -t**2 - 7*t + 16. Let p be h(-8). Suppose 12 = -p*d + 6*d. What is the common denominator of d and -21/10?
10
Let i(s) = 2*s + 6. Suppose -2*l = -l + n - 52, 0 = 2*l + 3*n - 100. Suppose -3*d - d = -l. Calculate the least common multiple of d and i(0).
42
What is the common denominator of (-48)/16 - ((-366)/45 - 0) and -29/129?
645
Calculate the lowest common multiple of 3 and (1010/85 - 12) + (-5172)/(-34).
456
Let g be 548/(-52)*2 + -4. Let u = -2019/52 - g. Find the common denominator of u and -7/11.
44
Let b = -38821/9 + 4307. Let f = 147947/11604 + 1/2901. Find the common denominator of f and b.
36
Let v = -23 - -55. Let q = v - 22. Suppose 0 = 3*g - 3, 4*j - 5*g + g - 36 = 0. Calculate the lowest common multiple of q and j.
10
Let m(p) = 4*p - 5. Let a be m(11). Let c = a - 27. Suppose -4*k = -c - 8. Calculate the lowest common multiple of k and 6.
30
Suppose 43 = -z - 43. What is the common denominator of 1/(-4)*(-15 - z) and 15/31?
124
Let j = -90043/180 + 2493/5. Find the common denominator of -95/18 and j.
36
Let j be -185*((-16)/(-20))/(-4). Let v be (2/6)/((-18)/918). Let g = v + j. Calculate the least common multiple of 20 and g.
20
Let n = -121089 + 33783904/279. What is the common denominator of n and -83/62?
558
Let j = 23 + -21. Suppose -j = 4*d - 10. What is the lowest common multiple of d and (-9)/3 - (0 - 27)?
24
Calculate the common denominator of (-1 - 33/4) + -1 and (1/2*(-2920)/(-80))/(-1).
4
What is the common denominator of (-3)/((-3336)/8858) + 3 + -11 and 5/4?
556
What is the common denominator of 139/90 and 344/144*6/8?
360
Let v = -1987 - -11885/6. Let g = 176 + -124. Calculate the common denominator of (129/g - (1 - -2))*-6 and v.
78
Suppose -4*z = -23 - 33. Calculate the lowest common multiple of z and (48/9)/(-3 - 30/(-9)).
112
Let l(f) = f**3 + 7*f**2 - 7. Let b be l(-7). Calculate the common denominator of 11/12 and b/(-28) - 4/((-1056)/(-369)).
264
Let m = -1496 + 1501. Calculate the least common multiple of m and 70.
70
Suppose 4 = -4*f - 2*q, f + 2*q - 8 = 3*f. Find the common denominator of (582/(-24))/((-6 - f)