z.
48
Suppose -5 = 5*d - 0. Let w be (4 + d)/(9 + -8). Suppose w*x + x = 16. What is the least common multiple of 11 and x?
44
Suppose -12 = 4*s - 3*r - 45, -3*s - 4*r = -6. What is the lowest common multiple of s and 3?
6
Calculate the common denominator of (-185)/(-60) - (-2)/12 and 59/21 - (-6)/21.
84
Let f = -111/8 + 1355/72. Let o = 11545 - 115573/10. Find the common denominator of o and f.
90
Let o(v) = -v**3 - 10*v**2 - 9*v + 6. Let r be o(-9). Suppose -r = -2*j + 3*j. What is the least common multiple of 4/3 + j/18 and 6?
6
Let u(a) be the first derivative of a**4/4 + 8*a**3/3 + 3*a**2 + 7*a - 34. What is the least common multiple of 14 and u(-7)?
14
Let z = -8909/195 - -652/13. Calculate the common denominator of z and (-1)/(-2)*46/(-8).
120
Calculate the common denominator of -28/15 and (-1)/63*246/10.
105
Calculate the lowest common multiple of 8 and (40/25)/(4/430).
344
Find the common denominator of -1 - (5 + -89*(-14)/(-231)) and 43/21.
231
Suppose 0 = -0*n - 2*n - 6*r + 510, -5*r = -n + 215. What is the smallest common multiple of n and 48?
240
Let p = 225 + -212. Calculate the smallest common multiple of 91 and p.
91
Let p = -20 + 40. Suppose -6*s = -2*s - p. Suppose 10 = 4*r + 3*q - 3, 5*r - 14 = -3*q. What is the least common multiple of s and r?
5
Let p = -108341 - -20476501/189. Find the common denominator of 79/15 and p.
945
Suppose 2*b - 3 = b. Let r be (-21)/(-2)*2/b. Let a = r - 5. What is the lowest common multiple of a and 8?
8
Suppose -24 = -l - l. Suppose 6*p - l = 4*p. Calculate the smallest common multiple of p and 5.
30
Suppose 4*g - 3*s = -8*s + 97, 5*s = 4*g - 47. Let f = g - 12. Calculate the lowest common multiple of f and 2.
6
Let h = -114 - -150. What is the smallest common multiple of h and 9?
36
Let n = 149 + -151. Let q = -25 + 43. Calculate the common denominator of q and n/((-8)/31) - (23 + -27).
4
Let f be 2 - -1 - (-4 - 657). Suppose 5*y - y + 3*t - f = 0, t = -3*y + 498. Find the common denominator of 67/4 and (42/(-28))/(36/y).
12
Let z(f) = f**2 + 8*f + 9. Let k be z(-7). Suppose -k*m = -2 - 2. Calculate the smallest common multiple of 7 and -2 + (-2 - -3) + m.
7
Let y(p) = -197*p - 3. Let f be y(11). Let j = -2862229/1319 - f. Let c = 81787/11871 - j. Calculate the common denominator of 17/2 and c.
18
Let p be ((-23)/3)/((-8)/24). Let q = 13 - p. What is the common denominator of -101/16 and q/15 - (-615)/(-198)?
176
Let p = 12635 - 24729. Let r = -241819/20 - p. What is the common denominator of ((-94)/12)/(1*-1) and r?
60
Let i(m) = -m**3 - 26*m**2 + 3*m + 80. Calculate the smallest common multiple of i(-26) and 18.
18
Let s(m) = 2*m. Let f(z) = -z. Let c(x) = -6*f(x) - 2*s(x). Let t be c(1). Let i(j) = 3*j**2 - j - 2. Calculate the lowest common multiple of i(t) and 6.
24
Let k = 41687/396 - 1143/11. What is the common denominator of k and -59/92?
828
Suppose -6*c + 3*c = 9, -4*c - 8 = 2*l. Suppose 0 = -3*y + 6, 0*y = 2*j + 5*y - 12. What is the lowest common multiple of l and j?
2
Let c = -135 + 136. Let k(b) = b**3 + 6*b**2 + b + 6. Let g be k(-6). Let r = g + 1. Calculate the least common multiple of r and c.
1
Let x be (-2)/10*1 - (-2662)/35. Let z = 498/7 - x. What is the common denominator of z and -77/4?
28
Let i(n) = n**3 + 12*n**2 + 15*n - 15. Let o be i(-14). Let x = o + 13539/22. Let j = 7861/18 - 436. Calculate the common denominator of j and x.
198
Let b = -11968 - -179444/15. Let u be -10473*3/((-324)/8). Let m = u - 779. Calculate the common denominator of m and b.
45
Let c(i) = i**3 - 3*i**2 + 33*i - 5. What is the smallest common multiple of 11 and c(4)?
143
Find the common denominator of 145/108 and -14 - -18 - (-3)/((-432)/746).
216
Suppose 35*r + 13 = 36*r. Suppose -d + 0*d - w = -8, -2*d + r = -w. Calculate the smallest common multiple of 10 and d.
70
Let h = 6/1697 + 69541/10182. Let z be 8916/(-48) + 2/(-8). Find the common denominator of h and 1 + -1 - z/16.
24
Find the common denominator of (-13 - (-197)/8) + -13 and (1 - -1)/((-16)/30).
8
Calculate the common denominator of 934/(-420) + 2*(-10)/(-100) and 1/24.
168
Let v = -419/5 - -149/2. Calculate the common denominator of v and -36/235.
470
Let y(k) = -21 - k - 7*k - 27*k + 4. Let m be y(-7). Let w = 5017/22 - m. Calculate the common denominator of w and -107/14.
154
Let y = 53 - 213/4. Suppose 0*i = 4*i - 5*h + 6576, 0 = h - 4. What is the common denominator of y and i/(-363) + 2/(-6)?
44
Suppose -5*i + 48 = -i. Find the common denominator of ((-26)/(-54))/(i/(-180)) and -4/3.
9
Let r = 3615/4 - 915. What is the common denominator of 30/105 + (-1214)/84 and r?
12
Calculate the common denominator of ((-3)/(-3) - 0) + 1302/(-1276) and 29/6.
1914
What is the common denominator of (141/3*1)/(-21) and (357/(-14))/(3 - 24*2)?
210
Let b(v) = -v**3 - 3*v - 2. Calculate the lowest common multiple of b(-3) and 2.
34
Calculate the smallest common multiple of 14 + ((-2)/(-3))/(19/114) and 60.
180
Find the common denominator of 109/12 and 2 + 1 + (-318)/(-96).
48
Calculate the common denominator of -53/128 and ((-131)/9 - 0)*4/8.
1152
Let s = 1065 + -1058. Calculate the lowest common multiple of 949 and s.
6643
Let s = 1444/465 + -26/31. Calculate the common denominator of s and -41/12.
60
Let k = -52 - -28. Find the common denominator of 83/14 and (2/k)/((-30)/(-4095)).
56
Let b be (-1 + -6)*(-24)/(-28). Find the common denominator of -7/20 and b/(-9) + (-69)/(-6).
60
Let p = -1 + 9. Suppose 2 - p = 2*b. What is the common denominator of 13/10 and ((-143)/44)/(b/2)?
30
Let t = 6403833/104 + -61576. Calculate the common denominator of t and 25/117.
936
What is the common denominator of -79/148 and 118/56 + 12/(-14)?
148
Suppose -16 = 3*v - 5*v. Let l = -477 - -486. What is the lowest common multiple of l and v?
72
Suppose 6*v = 33 - 3. Let c(i) = 25*i**2 + 2*i - 1. What is the least common multiple of c(1) and v?
130
Suppose -f = 5*c - 6 - 20, -3*c + 152 = 5*f. Let u(k) = 2*k - 13. Calculate the least common multiple of f and u(8).
93
Let p = 19 + 8. Calculate the least common multiple of p and 36.
108
Let p = 14 - 5. Let n(d) = 3*d**2 - 33*d + 7. Let t = 55 + -44. Calculate the lowest common multiple of p and n(t).
63
Suppose 2*x = -9*x + 561. Calculate the least common multiple of 2 and x - 2/(2/(-3)).
54
Suppose 0 = 5*k - 196 + 16. What is the smallest common multiple of 6 and k?
36
Let f = 1172 - 4840. What is the common denominator of (-2)/(-5) - f/1680 and -53/2?
12
Let y = -4/62927 + -3711829/13592232. Calculate the common denominator of y and -53/54.
216
Let n be (-18)/(-4)*4/(-6). Calculate the lowest common multiple of 28 and (5 - (-6)/n) + 2.
140
Let o be ((-5)/800)/(14/34). Let q = -5639/1120 + o. Let s = 57/16 - 37/4. Find the common denominator of q and s.
80
Let i(n) = -5*n + 11. Let d be i(-6). Let k = d - 32. Let z = 10 + -5. Calculate the smallest common multiple of k and z.
45
Let b be (-1)/(-2)*2/10*0. Find the common denominator of -137/6 and 3 - b - 98/(-24).
12
Let q(f) = f**2 - 9*f - 12. Suppose -3*y = -41 + 5. Calculate the lowest common multiple of 1 and q(y).
24
Let m = 51 + -39. Let x = 48 - 18. What is the lowest common multiple of x and m?
60
Find the common denominator of (-12)/3*91/(-280) and ((-1443)/(-819))/(-1 - 2/(-3)).
70
Calculate the common denominator of (3/28)/((-81)/477) and -87/196.
588
Let c(q) = 5*q - 29. Let y be c(17). Let z = -24 + y. What is the smallest common multiple of z and 6?
96
Calculate the smallest common multiple of 16/1 + ((-8)/4 - -5) and 6.
114
Let r = 178 - 1027/6. Find the common denominator of r and 85/16.
48
Let g = -589626 - -1082553287/1836. Find the common denominator of g and 151/12.
1836
Let x(g) = 7*g**2 - 10*g + 15. What is the smallest common multiple of 54 and x(3)?
432
Suppose -4 = -2*f + 2. Calculate the least common multiple of f and (-30)/(-4) + 2/4.
24
Let a = 1 - -2. Suppose -a*k = 2*k - 25. Suppose -4*j + 26 = -3*d + k*d, 3*d - 5*j = -16. Calculate the lowest common multiple of 2 and d.
6
Calculate the common denominator of 51/2 and 222/117 + (-21)/14.
78
Suppose -3*x + 5*x - 5*g - 93 = 0, -3*g + 279 = 5*x. What is the lowest common multiple of 9 and x?
54
Let w(y) = -y**2 - 5*y. Let d = 6 + -10. What is the lowest common multiple of w(d) an