1. Calculate the smallest common multiple of 15 and a(0).
15
Let f be ((-2)/3)/(30/2115). Let s = f + 67. What is the smallest common multiple of 6 and s?
60
Let d = -3/26 - 330/13. What is the common denominator of d and -13/8?
8
What is the common denominator of 0 + -1 - 284/40 and 1/8?
40
Let u be (-5)/((-15)/(-6)) - -112. Suppose -4*p + u = p. What is the smallest common multiple of 20 and p?
220
Let a be (-576085888030)/(-5472) - (3 - 1). Let b = a - 105278853. Let p = b + 1/171. Find the common denominator of 53/8 and p.
16
Let g = 7/8 + -19/8. Find the common denominator of g and 35/16.
16
Let c be (-22)/2 - (-5 + 1). Let p(d) = 0*d - 1 - d + 0*d. What is the smallest common multiple of p(c) and 22?
66
Let q be (-12)/(-15)*70/(-4). Let m = q + 32. What is the lowest common multiple of 12 and m?
36
Let x(c) = 5*c**2 - c. Suppose 3*j + f = 8, 3*j - 5*f + f = -17. Calculate the lowest common multiple of x(j) and 18.
36
Calculate the common denominator of (1 + -2)/(-8) - -1 and -133/18.
72
Let i = 553/120 + -86/15. Let q be 22*52 - (-1 + 2). Find the common denominator of i and q/216*(1 + -3).
24
What is the common denominator of 9/42*(0 - (-4 + 2)) and -8?
7
Let f = -12 - -22. What is the least common multiple of 1 and f?
10
Find the common denominator of ((-1)/4 - -1)/(48/(-88)) and 65/14.
56
Let v(j) = j**3 + 2*j**2 - 11*j + 5. Let k be v(-5). Let n = k - -16. Calculate the lowest common multiple of n and 9.
9
Let c = -61/8 - -17/8. Let u = -7555147/28 + 269971. Let m = -851/7 + u. What is the common denominator of c and m?
4
Find the common denominator of (-828)/84*14/(-16) and 121/18.
72
Let r(l) = -l**3 + l**2 - l - 1. Let c(b) = 6*b**3 - 3*b**2 + 5. Let o(p) = c(p) + 3*r(p). What is the smallest common multiple of 6 and o(2)?
60
Let m(k) = 7*k - 6. Let u(p) = 9*p**3 - p**2 + p - 1. Let j be u(1). Let x = -4 + j. Calculate the smallest common multiple of m(x) and 18.
198
Calculate the least common multiple of 5 and 4*((-2 - -7) + -3).
40
Let g(u) = u + 4. Let s(a) = a**3 - 6*a**2 + 6*a + 1. Let r be s(5). Let l be g(r). Calculate the common denominator of 1*((-61)/l - -2) and -1/10.
10
Suppose 6*z - 10 = 5*z. What is the lowest common multiple of z and 5?
10
Let p = 63 + 408. Let x be 3/(-24)*p*26. Let s = 1522 + x. Find the common denominator of s and -1/11.
44
Let j = 195 - 280. Suppose -t - p = -3*p + 1, 5*t + 4*p - 51 = 0. What is the smallest common multiple of t and 1/3 - j/15?
42
Let o = -13 + 33. Calculate the common denominator of (-2)/4*27/(-4) and 40/100 + 802/o.
8
Let i = -26/19 - -21/19. Let x = i - -205/418. What is the common denominator of 111/10 and x?
110
Suppose -4*r + 8*r + 24 = 0. Let s = r - -8. Calculate the lowest common multiple of 8/(-1 + 3/2) and s.
16
Let f be (2/210)/((-220)/25). Let a = 25877/4620 + f. What is the common denominator of 1/8*82 - 0 and a?
20
Suppose 122*j - 120*j = 16. Calculate the least common multiple of 34 and j.
136
Let d be (-4)/(-10) + (-6)/15. Let q be 9/6*-1*(-2)/1. Let p = q + d. What is the least common multiple of p and 2?
6
Let d = 18572 + -464241/25. What is the common denominator of d and 32/25?
25
Let s be 12/13554*(-2)/(-4). Let c = 77555/9036 + s. Calculate the common denominator of -21/16 and c.
48
Let o = -28 + 52. What is the lowest common multiple of o and 30?
120
What is the common denominator of 25/8 and 1/(-2)*9/6?
8
Let i(w) = 4*w**2 - 3*w - 13. Let k(f) = 5*f**2 - 4*f - 14. Let c(v) = -4*i(v) + 3*k(v). Let h = 12 + -12. Calculate the lowest common multiple of 7 and c(h).
70
What is the common denominator of 101/122 and (-2)/5 - ((-12915)/100)/(-9)?
244
What is the common denominator of 53/8 and ((-237)/10)/((-168)/35)?
16
Suppose -3*d + 4*h = -128, 3*d - 5*h = -2*d + 210. What is the common denominator of 47/6 and 266/d*(-24)/(-28)?
30
Let c = -41 - -50. Suppose i = 3*i + 2. Calculate the least common multiple of c and ((-25)/(-20))/(i/(-8)).
90
Let u(c) = -c + 5. Let z be u(5). Let r be z - -4 - (0 - -1). Suppose -2*f + 5*s = -7 - 12, -r*s - 15 = -3*f. Calculate the lowest common multiple of f and 9.
18
Let l(p) = -p**2 + 7*p - 3. Let o be l(5). Let j = o - -5. Calculate the least common multiple of j and 8.
24
Let y(t) = -11*t + 1. Calculate the lowest common multiple of 4 and y(-1).
12
Let r = 33 + -11. Suppose 0 = 8*l - 9*l + 4. Calculate the lowest common multiple of l and r.
44
What is the common denominator of -143/6 and (1047/(-138) - -1)/3?
138
Suppose -2*b + 0*f + 3*f + 49 = 0, 5*b - 88 = -4*f. Suppose -2*x = x - 66. Calculate the lowest common multiple of b and x.
220
Let h = 4145710812 + -34840553751595/8404. Let p = -4/6303 - h. What is the common denominator of p and -103/22?
132
Suppose 4*h = -m + 27 + 1, -5*h - 67 = -3*m. Calculate the least common multiple of m and 12.
24
Let w = -2 - -5. Suppose 96 = w*b + b. Calculate the common denominator of (-15)/b*17*2 and -71/10.
20
Let m(z) = 670*z. Let s be m(1). Find the common denominator of -19/8 and 2/6 - s/(-420).
56
Suppose 0 = 4*c - 38 + 2. Let z = -1844 - -20322/11. Calculate the common denominator of 1/(23/c + -2) and z.
55
Let z(r) = 13*r - 4. What is the lowest common multiple of z(2) and 20?
220
Let m = -242687/180 + 5391/4. Calculate the common denominator of -65/33 and m.
495
Let w(n) = 106*n + 1. Suppose 5*v + 3 + 0 = -f, -5*v = -f + 7. Let t be w(f). What is the common denominator of -121/6 and -3*2*t/(-288)?
48
Let j(u) = -1. Let b(i) = i + 7. Let x(s) = 2*b(s) + 6*j(s). Let y be x(6). Calculate the least common multiple of y*-1*(-3)/6 and 22.
110
Let h be -3 - -1 - 7498/28. Let j = h - -1837/7. Let f = -188067/260 - -9456/13. Calculate the common denominator of f and j.
140
Let x(d) = 9 + 3 - 5 - 4*d + 5*d. What is the smallest common multiple of x(5) and 12?
12
Let u = 2 + 3. Suppose 18 - 3 = -u*c. Find the common denominator of (-92)/(-6)*c/6 and 69/2.
6
Suppose -3*n + 654 = 42. Calculate the smallest common multiple of n and 14.
1428
Suppose 3*v = 2*v - 23955. Let q = v - -814393/34. Find the common denominator of -97/16 and q.
272
Let l = -64 + 73. Calculate the least common multiple of 24 and l.
72
Suppose -p = -2*p + 4*c + 24, c + 3 = 0. Suppose 0 = -3*x + 3 - p. What is the lowest common multiple of 12 and 2/x*60/(-4)?
60
Let j(n) = n**3 + 3*n**2 - 2*n - 2. What is the lowest common multiple of 30/(0 - (-6)/4) and j(-3)?
20
Let j = 15 - 4. Calculate the smallest common multiple of j and 5.
55
Let i be (4/(-10))/(1185/(-200)). Let x = 16513/2370 - i. Calculate the common denominator of -81/2 and x.
10
Let n(y) = -y**3 - 3*y**2 - y. What is the lowest common multiple of n(-4) and 44?
220
Suppose 0 = d + 4*d - 15, 5*u = 3*d - 59. Let m(k) = -k**2 + k - 2. Let c be m(4). Calculate the common denominator of -81/20 and (c/u)/((-4)/34).
20
Suppose -3*u + 51 - 3 = 0. Calculate the lowest common multiple of u and 36.
144
Let j = 18367 - 12137. Let o = -137099/22 + j. Find the common denominator of -151/18 and o.
198
Suppose 3*k - 106 - 14 = 0. Suppose 0*j + 2*j = k. What is the smallest common multiple of 16 and j?
80
Let y = 31 + -22. Let h be ((-150)/y)/((-3)/(-27)). Calculate the common denominator of h/(-4)*3/40 and 47/14.
112
Let l = 828/53 - 12651/1166. Let g = -5260 + 115787/22. What is the common denominator of g and l?
22
Let t = 36 - 18. What is the least common multiple of 15 and t?
90
Let h = -13 - -14. What is the common denominator of -41/9 and (29 + -2)/(h + 9)?
90
Suppose 2*f + 2*f = 40. Let y(g) = g**2 + 11*g + 9*g**2 - g**2 - g**3 - 7 + 9. What is the smallest common multiple of y(f) and 6?
12
Suppose -o - 6*o = -28. What is the lowest common multiple of o and 30?
60
Let o = -1 - -4. Suppose -2*w + 18 + 12 = 0. Suppose -4*v + w = -1. What is the lowest common multiple of o and v?
12
Find the common denominator of 10/(-3)*81/96 and -23/20.
80
Suppose -2*q - 2*j + 23 = 71, -82 = 4*q - 3*j. Find the common denominator of q/(-4)*2/(-8) and 2 + 0 + 19/(-6).
24
Let i(r) = -r**3 - 7*r**2 - 7*r - 5. Let u be i(-6). Suppose 4*v = u + 27. Calculate the lowest common multiple of 8 and v.
56
Let o(b) = -b**3 + 4*b**2 - 3*b. Let i be o(2). Suppose -10 = -0*z - i*z. What is the least common multiple of z and 0*(-2 - -1) - -2?
10
Let o = -3/91 - -1025/728. Let p = -38 + 26. Calcula