
77
Let f(o) = 3*o**2 - 5*o + 4. Calculate the smallest common multiple of 2 and f(3).
16
Let s = 1/970 + -48987/1940. Calculate the common denominator of s and 40.
4
Let n be (20591/24)/(5/(-15)). Let h = 2570 + n. Calculate the common denominator of h and 31/11.
88
Let f = -9 + 25. Suppose 4*k - f = -3*p + 25, -4*p + 12 = 0. What is the least common multiple of k and 11?
88
Suppose -s = -11 - 22. Suppose -3 - s = -3*a. What is the lowest common multiple of a and (-1)/(-3) + 35/3?
12
Let x(k) = 9*k - 2. Let t be x(2). Suppose 10 = h - t. Let d = h - 15. What is the smallest common multiple of d and 5?
55
Let m be -2 + 4/(7968/(-1075941)). Let f = m + 783932551/1453496. Let d = 15/199 - f. Find the common denominator of d and -103/12.
132
Let f = 0 + 2. Suppose f*s + s = 0. Suppose -r + 3 + 0 = s. Calculate the lowest common multiple of 6 and r.
6
Calculate the common denominator of 134/(-20)*(-3 + 2) and -75/8.
40
Suppose -3*p - 2*p = -u - 32, p - 5*u - 16 = 0. Suppose 3*q - 18 = -2*c, -4*q + 27 = 3*c - 2*q. Calculate the smallest common multiple of c and p.
18
Let p = 1543/48 - 112/3. Calculate the common denominator of 95/16 and p.
16
Let w = 5781/5 + -23217/20. Let u be (1416/(-706) - -2)/1. Let s = 15203/4236 + u. What is the common denominator of s and w?
60
Let w(d) = d**2 - 2*d + 2. Let y be w(3). Suppose -63 = -y*g + 17. What is the least common multiple of 52 and g?
208
Let c(a) = 4*a + 4. Let d = 6 - 2. Let q be c(d). Calculate the common denominator of -19/4 and (6/(-22))/((-8)/q).
44
Let f(v) = -v**3 - 10*v**2 - 12*v - 2. Let q be f(-8). Let z = -54 + 34. Calculate the common denominator of -1*(q/z - -1) and -22.
10
Let p = -5817 - -127899/22. What is the common denominator of p and ((-5)/(-90))/((-3)/339)?
198
Let u(g) = -g**2 + 2. Suppose -15 = -4*c + 29. Calculate the lowest common multiple of c and u(0).
22
Let m(b) = -97*b**2 - 8*b + 10. Let n be m(-7). Let j = -74955/16 - n. Calculate the common denominator of j and -81/14.
112
Let z(t) = 2*t - 1. Let x be z(4). Let g = -1 + x. What is the lowest common multiple of g and 9?
18
Suppose 0 = 4*j - 5*z - 7, 6 = 3*j - 7*z + 4*z. Suppose -4*p - 141 = -0*i + j*i, 0 = -5*p - 5*i - 175. What is the common denominator of -3 - 4/(p/59) and 51/5?
45
Suppose 3*g + 2 = 26. Suppose 3*b = 3*o + 6, 0*o + 4*b + 34 = -3*o. What is the lowest common multiple of g and (4/(-2) - o)*1?
8
Let a be 4/14 - 31305/(-11144). Let h = a + 6/199. What is the common denominator of h and -43/9?
72
Suppose x + 10 = 4. What is the least common multiple of (9/x)/(3/(-22)) and 6?
66
Let h = 48 - 27. Calculate the common denominator of h and 59/2.
2
Let y(k) = -k**2 + 6*k - 4. Let n be y(3). Suppose -4*w - i + 13 = 0, -n = 2*w - i - 4. What is the least common multiple of 3 and w?
6
Suppose a + a - 8 = 0. Suppose -2*r - 149 = 3*b, -2*b + b = a*r + 63. What is the common denominator of 11 and b?
1
Let z(g) = -2*g**2 - 4*g + 4*g**2 + 11*g - g**2 - 12. What is the smallest common multiple of 9 and z(-9)?
18
Let y = 5652 + -45279/8. Find the common denominator of y and 49/248.
248
Suppose 5*s + 2*n - 39 = 5*n, 15 = 3*s + n. Calculate the smallest common multiple of s and (-15)/((-2)/(12/9)).
30
Suppose 0*u - 968 = 4*u. Let b = 505/2 + u. Calculate the common denominator of b and (2/56)/(1/2).
14
Suppose -2*a + 21 = 5*k, -2*k - k = 5*a - 5. Let q = 6 - a. What is the least common multiple of 2 and q?
8
Let s = 2/411837 - 2997761533/2059185. Let t = s + 2921/2. What is the common denominator of t and -61/10?
10
Let c = -18905/198 - -1068/11. Calculate the common denominator of c and -35/6.
18
Suppose -54*o = -58*o + 116. Calculate the smallest common multiple of o and 4.
116
Calculate the common denominator of 76/15 and (58/(-60))/(9/81).
30
Let w = -14 + 19. Let c = 7 - w. Calculate the lowest common multiple of c and 2.
2
Let c = 4001/40 + -487/5. What is the common denominator of -37/84 and c?
168
Calculate the common denominator of -55/18 and ((-556)/(-144) + -4)*-46.
18
Suppose -8*l = -3*l - 10. Suppose -5*j + 0*j - 4*w = -30, 0 = -j - l*w. Find the common denominator of (-3)/15 - 263/j and -1/2.
2
Let a = 35 - 8. Let y = -17 + a. What is the least common multiple of y and 20?
20
Suppose 16 = -9*r + 11*r. What is the lowest common multiple of 18 and r?
72
Suppose 4*d - d - 9 = 0. Suppose -z - d*z - 36 = 0. Let t = z + 16. What is the least common multiple of t and 5?
35
Let g = -2950/13 - -40247/182. Find the common denominator of g and (-346)/(-24) - (2 + 0).
84
Let h(v) = -3*v - 2. Let a be h(-4). Let x be (-2)/a*-2*55. What is the common denominator of 89/4 and (-564)/440 - (-4)/x?
20
Find the common denominator of 85/38 and 445/(-10)*(-2 - (-10)/6).
114
Let q(y) = -4*y - 15. What is the smallest common multiple of 2 and q(-6)?
18
Let q = -9 - -19. Let k(z) = -4*z + 6. Suppose h - 32 = 4*u - 4*h, -2*h = 3*u + 1. Calculate the lowest common multiple of k(u) and q.
90
Let f = 11/141 + -8711/1410. What is the common denominator of 55/9 and f?
90
Let g be (-2 - -1)*(-8 - -1). Suppose 3*s - 32 = -5*z, -g*z + 26 = -3*z + 2*s. Calculate the smallest common multiple of (-1)/(-2 + 42/22) and z.
77
Let i = 7322 - 10692. Let p = i + 60539/18. Calculate the common denominator of p and -61/8.
72
What is the common denominator of 17/2 and 6/(-27) + 582/27?
6
Suppose b + 47 = 2*n + 18, 5*n - 40 = -4*b. Calculate the smallest common multiple of n and 8.
24
Suppose -5*x + 4*f = -f - 10, 0 = -4*x + 3*f + 8. Let h(o) = -o**3 + 4*o**2 - o + 2. What is the lowest common multiple of h(x) and 22?
88
Let a = 4603/198 - 216/11. Let m = 1046 + -4221/4. Find the common denominator of a and m.
36
Let c be -6 + 4 + (0 - -12). Suppose o - c = -2. Suppose 0 = 5*g - 5*p - 100, -4*p - 46 = -3*g - 8*p. Calculate the smallest common multiple of g and o.
72
Let z(m) = m - 8. What is the least common multiple of 2 + (-3 - -2)*1 and z(9)?
1
Let j = 2 - 0. Let p = 1 + j. Calculate the least common multiple of p and 9.
9
Suppose 12 = 7*x - 4*x. Suppose -l + 8 = v - x*v, -3*v = l - 8. Calculate the least common multiple of l and 1.
8
Let j be -29*(25/(-2) - 3). Let c = j - 413. Find the common denominator of c and -97/44.
44
Suppose -25 = -5*b, 2*i + 7 + 0 = 3*b. What is the common denominator of (14/(-18))/(2/42) and i?
3
Let h = -1844719/20 - -92908. Let r = 671 - h. What is the common denominator of r and 113/12?
60
Let v = 3402 - 23767/7. What is the common denominator of -31/2 and v?
14
Let i(z) = -z**3 + 6*z**2 - 7*z + 4. Let p be i(5). Calculate the lowest common multiple of (-16)/12*p/4 and 8.
8
Suppose -2*x + 156 = 4*x. Calculate the smallest common multiple of 8 and x.
104
Let h(u) = 3*u**3 - 3*u**2 + 2*u - 2. Let f be h(2). Let q = f + -10. What is the least common multiple of q and (-2 - -3) + 7*1?
8
Let h = -59 - -63. What is the smallest common multiple of h and 46?
92
Calculate the common denominator of -85/22 and (-5)/(-15) - 15/(-54).
198
What is the smallest common multiple of 16*(-1 - (-25)/20) and 6?
12
Let k = -24 + 51. What is the common denominator of -109/10 and ((-34)/24)/(k/(-36))?
90
Suppose -5*p = -2*k - 2*k - 30, 0 = k. Suppose p = 3*w - 0*w. What is the lowest common multiple of 9 and w?
18
Calculate the least common multiple of 27/3 - (-6 + 5) and 6.
30
Suppose 0 = -0*j + 5*j + 25. Calculate the least common multiple of 18 and ((-64)/(-20))/((-1)/j).
144
Let d = -4009 - -72143/18. Let k = 38 + -24. Find the common denominator of d and 9/(((-20)/k)/1).
90
Let p be (-21)/(-14) - 9/(-2). Suppose p*i = 2*i + 72. What is the smallest common multiple of i and 4?
36
Let u(c) = 6*c**2 - 1. Let f be u(-1). Suppose f*z = z + 36. Calculate the smallest common multiple of z - 2/(-1 - 0) and 1.
11
Let p = -18 + 28. Calculate the least common multiple of p and 16.
80
Calculate the smallest common multiple of 26 and 23/(-46)*(0 + -1*14).
182
Suppose a = 2*d + 36, -5*d - 45 = a - 2*a. Find the common denominator of a and 4/(-15)*45/(-10).
5
Suppose 5*s + 3 = 3*x, -s + 15 = x + 2*s. Calculate the least common multiple of 4 and x.
12
Let n = -1457 - -20431/14. Find the common denominator of n and 2 + 10/44*7.
154
Suppose 65 - 9 = 4*h. Suppose -h - 6 = -5*u. Let a = 3 - 0. Calculate the lowest common multiple of u and a.
12
Let d = 17