What is the common denominator of -111/22 and (x/(-40))/(-1)*-89?
220
Let r(l) = 3*l**2 + l + 6. Let o be r(-2). Suppose -o = -6*j + 2. Calculate the smallest common multiple of 60/9 - 1/(-3) and j.
21
Let f be 14674/7 + 7/((-49)/2). Let b = -19667773/9354 + 139/6236. Let k = f + b. Find the common denominator of -41/6 and k.
12
Let y(f) = 22 - 10 + f**2 + 4*f + 6*f. Calculate the least common multiple of y(-10) and 15.
60
Let d(i) = 6*i - 6. Let u(t) = -t + 1. Let b(g) = -d(g) - 8*u(g). Let l be b(-5). What is the lowest common multiple of ((-6)/9)/(l/414) and 6?
138
Let f = 2169 + -6433/3. Suppose 3*h = -19 - 44. What is the common denominator of (h/(-2))/(-7)*470/15 and f?
3
Suppose -12*d + 11*d = -10. Calculate the lowest common multiple of 3 and (2 - (-22)/(-10)) + 562/d.
168
Suppose 0 = 4*y - y - 150. Suppose o - 6*o = -y. Suppose 4*n + o*p - 5*p = 40, -10 = -n - 2*p. What is the lowest common multiple of n and 12?
60
What is the common denominator of (3/((-3)/16))/((-30)/(-20)) and 53/6*(-6)/9?
9
Let r = -8 - -10. Suppose 3*h - 45 = 3*w - 2*w, w - 53 = -4*h. Suppose -4*m + 2*n + 0 = -10, -5*m + n = -h. What is the smallest common multiple of r and m?
6
Let r be 580/(-3) - 52/(-13). Let i = r - -178. Find the common denominator of 28/33 and i.
33
Let a = -1/10310 + 112387/82480. Find the common denominator of 97/140 and a.
560
Let z(y) = -y**2 - 13*y - 36. What is the least common multiple of z(-6) and 36?
36
Suppose 2*c + 1 - 5 = 0. Let m(r) = -1. Let d(v) = 6*v - 4. Let s(t) = d(t) - 3*m(t). What is the lowest common multiple of 5 and s(c)?
55
Calculate the common denominator of (-1551)/84 - 11/((-539)/(-14)) and -57/370.
740
Let o be (5 + -5)/(4/2). Suppose o = -0*h - h + 9. Suppose 3 = -c, 2*c = -m - 0*c + 3. Calculate the least common multiple of m and h.
9
Let o(k) = 2*k**3 + 8*k**2 - 12*k - 1. Calculate the smallest common multiple of o(-5) and 134.
1206
Let m be (38/(-7258))/(-1 - 2/(-4)). Let c = -967/1146 + m. Find the common denominator of c and 7/32.
96
Let v(z) = -2*z**2 + 29*z + 27. Calculate the smallest common multiple of v(14) and 1.
41
Suppose 6*k - 300 = -6*k. Suppose -4*j - k = r - 4*r, 0 = 2*j + 8. What is the smallest common multiple of r and 3?
3
Suppose 3*n - 7*n + 2*a - 660 = 0, n = 2*a - 165. What is the common denominator of ((-30)/8 - -4)*n/6 and 39/10?
40
What is the common denominator of (-6)/(-40)*(-485)/150*-10 and -61/852?
4260
Let u(j) = -j**3 - 6*j**2 - j - 5. Let x be u(-6). Calculate the lowest common multiple of (-7)/(-2)*16/28 and x - (-27 - (3 - 3)).
28
Let w(u) = -u**3 + 6*u**2 + 2*u - 6. Let z = 35 + -29. Let o(i) = 4*i - 2. Calculate the least common multiple of o(5) and w(z).
18
Suppose 0 = 2*y - 130 - 250. Find the common denominator of 2 + 0 - y/24 and -13/30.
60
What is the smallest common multiple of 3 and (7/(-1))/7*-75?
75
What is the lowest common multiple of 72 and -1 + 68/44 - (-11866)/187?
576
Let d(n) = -n**2 + 8*n - 10. Let v be d(5). Suppose -3*j - 6*w + 2*w = -14, -v*j - 2*w + 28 = 0. What is the least common multiple of 48 and j?
48
Suppose a - 8 = -4. What is the common denominator of (2/22)/(4 - (-1026)/(-258)) and (70/(-64))/((-1)/a)?
88
Suppose 0 = -4*v - 3*m + 8*m + 373, v - 96 = 4*m. What is the least common multiple of 11 and v?
1012
Let u = -4108 + 110971/27. Let h = -65/103 + -3601/2781. What is the common denominator of h and u?
27
Let i(f) = f + 7. Let a be i(0). Suppose 5*q = -22 + 2. Let x = a + q. Calculate the smallest common multiple of 5 and x.
15
Let w = 20767 - 2658207/128. Calculate the common denominator of w and 51/4.
128
Let k(g) = -5156*g**2 - 2*g - 1. Let j be k(-1). Let c = 159781/31 + j. Let l = c + -355/62. Find the common denominator of l and -39/10.
10
Suppose 0 = -4*p, -c + 90 = -3*p - 78. What is the smallest common multiple of c and 420?
840
Let b = -47 + 20. Let k = 49 + b. What is the least common multiple of k and 2?
22
Let p(r) = -r**2 + 10*r - 9. Let h(y) = -y + 1. Let g be h(-7). What is the least common multiple of 10 and p(g)?
70
Suppose 3*o - 4*o + 4*x = 565, -2*o + 2*x = 1100. Let u = -4921/9 - o. Calculate the common denominator of u and -8/7.
63
What is the lowest common multiple of 275/33*(-9)/(-1) and 5?
75
Let l(c) = -c**2 + 4*c + 3. Let a be l(5). Let p = -3/388 + -20743/1940. Find the common denominator of a + 5/6*10 and p.
30
Let h = 3739/5876 - -17/226. What is the common denominator of 85/44 and h?
572
What is the common denominator of 9/304 and -6 + ((-16)/(-12) - 150/288)?
304
Let y = -2 + 4. Suppose -11 - 40 = -w. Let m = w - y. Calculate the common denominator of -42/5 and m.
5
Let n be 0/2 + 2150/468. Let p = n + -41/9. Calculate the common denominator of -15 + (-7 - (-1397)/66) and p.
78
Let l = 88/1747 - -162341/349400. Calculate the common denominator of 93/40 and l.
200
Let k = 100 - 96. Suppose k*j - 84 = -2*z - 2*z, 15 = 5*z. What is the least common multiple of j and 15?
90
Let f = 5601349929/37 - 151398591. Let q = -10754 - f. Let t = 3243/296 - q. What is the common denominator of t and 2?
8
Suppose 70*v - 85 = 125. Suppose -2*x = -x - 1. What is the smallest common multiple of v and x?
3
Let m = 2631/3920 - -4/245. Let r = 74004192/911 + -81234. Let o = r + -81259/9110. Calculate the common denominator of m and o.
80
Let g = 20068/31887 - -1/3543. Calculate the common denominator of g and 164/(-18) + (15 - (1 - -12)).
27
Let c = -2754 - -2757. Calculate the lowest common multiple of (-26)/(-1) + -2*1 and c.
24
Let n be (28485/3147)/3 - (9 - 6). Let w be (-106129)/10490 - (5 - 3). Let y = n + w. Find the common denominator of y and 61/20.
20
Let k = -6 - 5. Let i = 1 + k. Find the common denominator of (5/i)/(9/26) and -24/7.
63
Suppose 0 = y + y + z + 1, -2*z - 2 = -y. Suppose 5*t - 19 - 1 = y. Suppose 21*h - 25*h = -12. Calculate the lowest common multiple of t and h.
12
Let s be 65/2*(-24)/15. Let i be s/(-16) - 2/8. Suppose -4*l = -3*z - 15, z - i = 4*z. Calculate the lowest common multiple of 7 and l.
21
Suppose 4*z = t + 13249, 0 = z - 2*z + 3*t + 3304. Let w = z - 19751/6. Find the common denominator of w and -9/20.
60
Let x be -1 + 1*(-2 - -1). Calculate the smallest common multiple of (-2)/(1/18 + x/9) and 9.
36
Let t(d) = -d**2 - 5*d + 1. Suppose 12 = 2*y - 5*z, 4*z = -10 - 6. Let u = 10 + y. What is the smallest common multiple of t(-5) and u?
6
Let x = -26 + 9. Let o = x - -25. Suppose 33 = 4*d - 79. Calculate the smallest common multiple of d and o.
56
Let m = -2641 + 2701. Calculate the least common multiple of 210 and m.
420
Calculate the common denominator of -45/16 and (99/48)/(57/76).
16
Let t = -96 + 60. Calculate the common denominator of -121/12 and 1/(-14)*17*210/t.
12
Let z = 30 + -25. Suppose -51 = -z*k - 1. Calculate the least common multiple of k and 11.
110
Let k = -18 - -35. Suppose p + p + 4 = -2*u, 4*p + u + k = 0. Calculate the common denominator of 29/8 and (-11)/p + (4 - 1).
40
Let v = -23/14 + -587/56. What is the common denominator of v and -11/408?
408
Let s = 204 - 186. Let t(j) = -j**2 + 8*j - 3. Calculate the smallest common multiple of s and t(3).
36
Let o(y) = -160*y + 19. Let w be o(8). Let q = w - -8770/7. Find the common denominator of q and (1 - -48)*18/(-21).
7
Suppose j - 58 = -3. Find the common denominator of 2/4*(-530)/j and -93/8.
88
Suppose -9*k + 2*k = -14. Suppose d - 27 = -k*d. Calculate the lowest common multiple of (1*4/4 + 0)/1 and d.
9
Suppose -3*v + 9 = -8*a + 5*a, -3*a = 4*v - 47. Suppose -v*l + 21 = -3. What is the lowest common multiple of l and 9?
9
Let s be (-4)/(-14) + (-376)/(-56). Suppose 2*f - s = 1. What is the smallest common multiple of f and 7?
28
Calculate the least common multiple of 8/20 + (32/(-5) - -7) and 78*1/((-9)/(-6)).
52
Let x(z) = z**2 + 2*z + 3. What is the least common multiple of x(-1) and 100?
100
Let u(j) = j**3 + 4*j**2 + j - 4. Let c = 64 + -67. What is the lowest common multiple of 67 and u(c)?
134
Suppose 75 = 2*f + o, 4*o + 108 + 32 = 3*f. Let z = -29 + f. What is the smallest common multiple of 37 and z?
407
Let i(y) = y**2. Let m = -6 + 9. Suppose m + 1 = a. What is the lowest common multiple of i(-1) and a?
4
Suppose -8*p + 3*m + 59 = -6*p, 4*p + 5*m = 107. Calculate the lowest common multiple of 4 and p.
28
Let 