 multiple of 1 and a(0).
4
Let c(l) = -l**2 - l - 1. Let g(t) = -3*t**2 + 9*t - 7. Let u(p) = 4*c(p) - g(p). Calculate the least common multiple of 10 and u(-13).
30
Suppose 3*k - 25 = -7. Let f = 5 + -5. Suppose f = 2*z - 5*i - 35, 2*z - z - 18 = 2*i. Calculate the least common multiple of z and k.
60
Let u be 108/8*(-8)/(-6). Find the common denominator of 2/u*(1 - -25) and (-76)/(-5)*1/4.
45
Let l be ((-22)/(-4))/(1/(-2)). Let d = l - -21. Let i(t) = -t**2 - 8*t - 7. Calculate the least common multiple of d and i(-6).
10
What is the common denominator of (-60 + 2)*(-1)/9 and -3/11?
99
Suppose 0 = -17*i + 109 + 95. Calculate the smallest common multiple of i and 24.
24
Suppose -4*v + p - 161 = 275, 2*v - 3*p + 208 = 0. Find the common denominator of 1 - (v/12 - 1) and -54/7.
42
Suppose -4*b - 3*s = -2, -b + 3*s - 6 = 7*s. Let l(n) = 2*n - 3. What is the smallest common multiple of l(b) and 9?
9
Suppose 49 = 4*g + 3*i - 35, 3*i = 12. Suppose 0 = -2*s - m + 47, 4*s - s = 5*m + 38. What is the least common multiple of g and (s/(-4))/((-3)/8)?
126
Calculate the common denominator of (158*2/64)/(3/(-4)) and -35/24.
24
Let b = 35041/22 - 1594. Find the common denominator of b and 23/12.
132
Suppose w + 136 = 5*w. Let o = w + -24. What is the lowest common multiple of 4 and o?
20
Suppose 10 = a - 1. Let k(j) = j**3 - 11*j**2 + 19*j + 1. Calculate the least common multiple of a and k(9).
110
Let v = -53100 + 263723/5. Let a = 359 + v. Calculate the common denominator of -22/5 and a.
5
Let t = -200 - -110. Calculate the common denominator of (-181)/t - (-2)/(-5) and 0 + 2 - (-22)/8.
36
Let x = 31 + -16. What is the smallest common multiple of ((-18)/x)/((-3)/40) and 8?
16
Let w = 52 + -34. What is the lowest common multiple of w and 10?
90
Suppose -v - 3*v + 4 = 0. Suppose 3*i - 5*i + t = -v, 0 = 4*t + 12. Calculate the common denominator of 35/12 and (2/8*-1)/i.
12
Calculate the lowest common multiple of (7 - 9)/((-4)/110) and 1.
55
Let x(r) = r + 4. Suppose 1 = q - 2*q - 2*g, -5*q = -3*g + 18. What is the least common multiple of (q/2)/((-6)/56) and x(6)?
70
Let i(d) = 2*d**2 - 2*d - 32. What is the lowest common multiple of 20 and i(-6)?
260
Let v be (-18 - -6)*869/(-1). Let s = 104157/10 - v. What is the common denominator of -17/16 and s?
80
Suppose 2*r = 3*p - 4, 4*p - 6*r = -r + 17. Let q be (p - 3)*(-2)/5. Suppose 0 = q*i + 2 - 4. Calculate the smallest common multiple of 10 and i.
10
Let i(k) = 2*k**2 - 2*k - 2. Let o(t) = t + 4. Let m be o(-6). Calculate the least common multiple of 4 and i(m).
20
Let t be (304/40)/((-1)/(-110)). Let q = t + -7478/9. Calculate the common denominator of q and 43/5.
45
Let j be 422/(-4) - (4 - 3). Let q = 1945/18 + j. What is the common denominator of q and 29/7?
63
Let a be (2/(-4))/(1/12). Let d(x) = -5*x + 156. What is the least common multiple of d(31) and (-2)/a + 64/6?
11
Let p(d) = -d**3 - 12*d**2 - 4*d - 16. Let u be p(-10). Let c = u - -1413/8. What is the common denominator of -103/20 and c?
40
Let p(t) = -22*t - 2. Calculate the least common multiple of p(-2) and 10.
210
Let q(n) = n**3 + 16*n**2 + 13*n - 8. What is the smallest common multiple of q(-15) and 18?
198
Let c = -26990/9 + 3002. Calculate the common denominator of -58/143 and c.
1287
Let g = 44 - 30. Calculate the least common multiple of 48 and g.
336
Suppose 12 = 16*o - 4. What is the lowest common multiple of 4 and o?
4
Let v = 56 - 38. What is the lowest common multiple of 16 and v?
144
Find the common denominator of -16/7 and -1*(425/(-10) + -2).
14
Suppose 0 = -2*x - l - 4 - 30, 4*l + 64 = -4*x. Let u = -63 - -36. Let r = x - u. What is the least common multiple of 8 and r?
72
Calculate the common denominator of -89/2 and 273/24 + 2/(-2).
8
Calculate the lowest common multiple of 94 and 10/(-35) + 174/21.
376
Let u(m) = -12*m + 2. Let i be u(-4). Suppose -4*a = -3*y + i, -3*y - 3*a = -0*a - 36. Suppose 0 = x - y - 2. Calculate the least common multiple of x and 12.
48
Let r = 3 + 1. What is the lowest common multiple of r and 8 - (3 + (-2)/(-4 + 2))?
4
Suppose -3*y + 21 = 3*v, 0 = -4*v + 2*y + 6 + 4. Let r = v - 6. What is the common denominator of (-87)/5*r/(-8) and 53/12?
60
What is the common denominator of -67/2 and (12/12)/(18/(-61))?
18
Suppose 0 = r + 2*m - 75, -6*r - m = -5*r - 74. Calculate the lowest common multiple of 2 and r.
146
Let u = 1015 + -4023/4. Find the common denominator of 79/30 and u.
60
Let n = 14 - 12. What is the smallest common multiple of n and (-13)/(-1) + 0 - -1?
14
Suppose 5*x + 15 = -5*p + 85, 3*x + 5*p = 38. Suppose 0*q - q = -6. What is the smallest common multiple of q and x?
48
Suppose -3*p + k = -27, 8 + 7 = 3*p - 5*k. Calculate the least common multiple of (18/1)/(1 - 0) and p.
90
Let j = -224 + -19. Find the common denominator of 75/2 and j/15*10/(-8).
4
Let r(j) = 2319*j**3 + 4*j**2 - 3*j - 3. Let z be r(3). Let l = -2567901/41 + z. Let w = 8483/902 - l. Calculate the common denominator of w and 67/10.
110
Let p = -1129/7 + 166. Calculate the common denominator of -19/8 and p.
56
Suppose 2*l = 3*z + 10, -4*l + 4*z + 6 = -10. Suppose l*y + 0 - 4 = 0. Suppose 15 - 1 = y*x. Calculate the lowest common multiple of 3 and x.
21
Let l = -6 - -16. Suppose -7*p + 2*p + 21 = r, -2*p - 18 = -2*r. Calculate the least common multiple of l and r.
110
Let r be 11*-1 + -4 + 7. Let w = 3115/2 + -1594. Find the common denominator of 6/r + (-186)/40 and w.
10
Suppose 0 = l + 2, d - 5*l + 7 - 31 = 0. What is the least common multiple of d and 24?
168
Let z(p) = -p**3 + 6*p**2 + p - 4. Let v be z(6). Suppose 2*x + 4 = 0, 4*n = -0*n + 5*x - v. What is the least common multiple of (2 - 6 - n)*-2 and 5?
10
Let o(d) = -d**2 - 7*d - 6. Let i be o(-5). Suppose c - 8145 = i*c + 3*w, -3*c - 8145 = 2*w. Calculate the common denominator of 4/(-10) - c/350 and 47/18.
126
Suppose -3*z = -0*z - 18. Suppose -d + q = -z, -q - 16 = -2*d - 0*q. Calculate the least common multiple of 10 and d.
10
Let g = 6 - 10. Let z = 8 + g. Let p = -2 + z. What is the smallest common multiple of 8 and p?
8
Let p be 3*-1*(2 - 1). Let b(o) = o**3 + 5*o**2 + 2*o - 3. Suppose -5*u + 10*u - 5 = 0. Calculate the least common multiple of u and b(p).
9
Let y = -67 + 74. Calculate the least common multiple of y and 1.
7
Suppose 30 = -3*j + 108. Let f(i) = 2*i. Calculate the least common multiple of j and f(5).
130
Suppose 3 = 3*p - 3. What is the lowest common multiple of p and 11?
22
Calculate the smallest common multiple of 8 and ((-3)/2)/(((-357)/(-70))/(-17)).
40
Let v = -134/187 + 91/17. Let o = -14977/7 - -2143. Calculate the common denominator of o and v.
77
Let p(y) = -y**2 - 6*y + 2. Let c be p(-6). Suppose -2*q + 7*q = c*d + 22, -q + 8 = -4*d. What is the least common multiple of 7 and 1 + -1*(d - 0)?
14
Let l = 10 - 8. Calculate the least common multiple of l and 6 + (2 + 1)/3.
14
Let r(q) = 3*q - 16. Let z(f) = -4*f + 17. Let n(o) = -5*r(o) - 4*z(o). Let a be n(-8). Suppose 3*i = a*i - 2. What is the lowest common multiple of i and 8?
8
Let l(j) = -j**2 - 7*j + 6. Let w be l(-8). Calculate the common denominator of (w + (-84)/9)/2 and 29/5.
15
Suppose -3*q + 2*z = 0, -5*z = -3*q - 0*z. Let f be 1*(4 - q) + 1. Suppose -f*y + 46 = 16. Calculate the least common multiple of y and 3.
6
What is the least common multiple of 33 and ((-12)/16 - -1) + 166/8?
231
Calculate the common denominator of 126/10*10/(-20) and -4.
10
Let a be ((-106)/(-16))/((-5)/(-370)). Let b = a + -506. What is the common denominator of -121/6 and b?
12
Calculate the common denominator of 9/(-9)*(-26)/(-6) and -36/35.
105
Suppose 0*b - 4*b - 20 = 0. What is the common denominator of b/(-15)*(-141)/(-2) and -27/8?
8
Let u = -25339/8 + 3174. Let h be 0 + 2*101823/(-36). Let n = h + 5641. Calculate the common denominator of u and n.
24
Let o(z) = -9*z**2 - 1. Let t be o(-1). Let x be 144219/(-60) - 4/t. Let n = x + 2381. Find the common denominator of -53/20 and n.
20
Suppose -k - 51 = s - 4*k, 4*k = s + 49. Let j = 688/99 + -85/11. Find the common denominator of j and (-2)/(3*(-1)/s).
9
Let d = -13 - -4. Let y(f) = -f**3 - 8*f**2 + 7*f - 8. What is the lowest common multiple of y(d) and 1 - 1 - (-10 - 1)?
110
Let x = -17464414 + 4680469615/268. Let z = 15/134 - x. What