14 and 1 + -13*(k - 1).
14
Suppose 21 = v + 2*v. Suppose 3*m - v - 11 = 0. What is the least common multiple of m and 7?
42
Suppose 0*d + 326 = 4*o + 2*d, 5*d + 238 = 3*o. Suppose -20 = 5*w, o + 95 = 4*z + 2*w. Let k = z - 4. What is the common denominator of 95/8 and k?
8
Suppose -2*t + 2*b = -2*b + 3752, -5*t - b - 9413 = 0. Let m = t - -20674/11. Calculate the common denominator of -53/7 and m.
77
Let r(q) = -12*q - 6. What is the smallest common multiple of 6 and r(-2)?
18
Let b be (-4)/10 + (-1037)/120. Let k = b + -11/6. What is the common denominator of k and 51/10?
40
Let h = 8 + -2. Suppose 5*u = -k + h*k - 80, -k - 2*u + 4 = 0. What is the lowest common multiple of k and 12?
12
What is the least common multiple of 3*(20/12 + -1) and 26?
26
Let h(m) = -2*m**2 + 6*m + 8. Calculate the common denominator of (-2)/(-4)*(-88)/(-14) and h(6).
7
Let m(p) = -p**3 + 2*p**2 - 4*p + 2. Let i be m(2). Let s be ((-1)/i)/((-1)/24977). Let a = 4142 + s. Calculate the common denominator of -95/18 and a.
18
Let l = 314 - 973/3. Let k = 357 + -1381/4. Find the common denominator of k and l.
12
Suppose 0 = 4*s - 6*s + 18. Let i(q) = -q + 11. What is the smallest common multiple of i(s) and -1 - 1 - (-5 - 0)?
6
Let b be ((-42)/(-4))/((-1)/(-2)). Let k = -3 + b. Calculate the least common multiple of k and (-6)/5*(0 + -15).
18
Let v(m) = -3*m - 8. Let r(p) = p**3 + 5*p**2 + 7*p + 4. Let h be r(-4). What is the least common multiple of v(h) and 4?
16
Let y(j) = -j**2 + 5*j. Let r be y(5). Suppose r = 4*g - 218 + 50. Suppose -2*o - g = 28. What is the common denominator of o and 67/2?
2
Suppose -2*p = -5*p. Suppose -5*g - 4*q + 2*q + 20 = p, 0 = 3*g - q - 23. What is the lowest common multiple of 8 and g?
24
Let s(g) = -2*g**2 - g + 2. Let b be s(-3). Let i = -9 - b. Let l = 0 + 3. What is the least common multiple of i and l?
12
Let n be 4/(-8) - 302/(-4). Suppose -3*f + x - 15 = -4*f, -5*f + 2*x + n = 0. Calculate the smallest common multiple of (-2*2)/((-6)/f) and 4.
20
Let w = 1/21873 - -1028009/481206. What is the common denominator of 119/18 and w?
198
Let t(y) = y**3 + y**2 + y + 1. Let i(h) = 16*h**3 - h**2 - 3*h - 4. Let v(j) = -i(j) - 3*t(j). Calculate the common denominator of v(-1) and 11/7.
7
Let f(c) = c**3 + 3*c**2 - 3*c + 3. Calculate the lowest common multiple of f(-3) and 16.
48
Suppose -5*c + 44 = 3*h, -1 = c - 2*h - 15. Let b(p) be the second derivative of -4*p**3/3 - p**2 + p. What is the smallest common multiple of b(-2) and c?
70
Let r = 76 - 61. What is the least common multiple of 30 and r?
30
Let d(w) = 3*w**2 - w. Let n = 4 + -32. Let u = n - -36. Calculate the lowest common multiple of u and d(2).
40
Let k(x) = -x + 10. Calculate the smallest common multiple of 6 and k(0).
30
Let i(s) = s**2 - 3*s. Let m be i(4). Suppose -m*n + 24 + 0 = 0. Calculate the least common multiple of 9 and n.
18
Let c(d) = d**3 + 9*d**2 - 10*d + 5. Let j(y) = 3*y - 1. Let b be j(-3). Calculate the least common multiple of 3 and c(b).
15
Let b = 44 + -40. Calculate the lowest common multiple of b and 12.
12
Suppose 2*x - 4 - 6 = 0. Suppose 0 = -x*z + 3*z - 42. Calculate the common denominator of 1605/(-42) - 2/7 and z.
2
Let s(a) = -373*a. Let t be s(-8). Let w = -53651/18 + t. Calculate the common denominator of w and 15/16.
144
Let c = 32 + -24. Let r(f) = -6*f - 2. What is the least common multiple of c and r(-4)?
88
Let c be -1*((-4)/1 + 1). Let g be c/((-6)/(-16)) + -1. Suppose 2*u - 13 = g. What is the lowest common multiple of u and 2?
10
Suppose -42 = -5*u + 578. Suppose u = -5*j + 3*m, -4*j - m - 37 = 52. Let n = 41 + j. Calculate the smallest common multiple of n and 14.
126
Suppose 0 = 3*y - 0*y + 3. Let a be (4/(-10))/(y/(-5)). What is the lowest common multiple of 4 and (7/4)/(a/(-16))?
28
Let o(k) = -12*k - 1. Let s be o(-1). What is the common denominator of (-4)/(-6) + (-4)/48 and 2/s - (-1422)/44?
12
Let g = 4943/3 + -1633. Find the common denominator of -20/21 and g.
21
Suppose -2*m - 3 = -45. Let p = -842/3 + 278. What is the common denominator of p and 1/(-4)*-2*m?
6
Let s(b) = b - 1. Let z be s(3). Suppose -z*m + 0*m + 72 = 5*o, -m = o - 12. Suppose -72 = -a - 3*a. Calculate the least common multiple of o and a.
144
Let y = -6 + 0. Let b(z) = -z - 5. Let p be b(y). Let c = p - 0. Calculate the smallest common multiple of c and 4.
4
Suppose -n + 0*j + 28 = 2*j, -j = 3*n - 99. Suppose -3*o + n = -5*o. Find the common denominator of o and -50/3.
3
Suppose 2*q - 16 = -3*h, -h - 4 - 4 = -2*q. Calculate the least common multiple of h and 18.
18
Suppose -13 = 5*c + w, -14 = c + 3*w + w. Let t = 8 - c. What is the smallest common multiple of 2 and t?
10
Let k = -685/4 - -177. Suppose 2*i + 75 = -3*v, -v = 5*i - 5*v + 245. Calculate the common denominator of k and 2/9 + (-545)/i.
12
Calculate the common denominator of -1/64 and 1862/(-504) - 6/(-8).
576
Let t(f) = f**3 + 19*f**2 - 18*f + 22. Let l be t(-20). Let p(a) = -a**2 + 5. Let w be p(-4). Let d = w - l. Calculate the least common multiple of 4 and d.
28
Let v be (1*-1)/(6/12). Let h be (-2 - -3)/(v/3698). Let a = h + 40647/22. Find the common denominator of a and 145/12.
132
Suppose x - 1638 = -x. Suppose -b - 2*b = o + x, o = 2*b + 551. Find the common denominator of (b/14)/(18/(-21)) and 85/6.
6
Let j be 9*1*8/12. Calculate the least common multiple of j*((-32)/(-6))/4 and 10.
40
Suppose -v - v = -24. What is the smallest common multiple of 12 and v?
12
Let o = -293539/20 - -14674. What is the common denominator of o and 117/14?
140
Let z be 54/(-4) + 6/4. What is the common denominator of ((-9)/6)/(z/(-41)) and (-555)/10*(-2)/6?
8
Let x(o) = o - 7. Calculate the least common multiple of 11 and x(8).
11
Calculate the lowest common multiple of 8 and -1 + (-46)/(-1 - 1).
88
Let h be 320/3*6/4. What is the least common multiple of 7 and h/25 + 4/(-10)?
42
Let z(r) = 86*r**3 + r + 2. Let x be z(2). Let i = x - 1355/2. Calculate the common denominator of i and -13/8.
8
Let h = -3793/762 - 24/127. Suppose -3*f + 2*o + 3 = 9, -2*o = f - 6. Find the common denominator of h and f.
6
Let j = -1711/88 - -133/8. Let l(o) = -o**2 - 16. Let w be l(0). What is the common denominator of j and -65*(-2 - 30/w)?
88
Suppose 4*s + 322 = 5*f, -s - 2*f - 24 = 50. Let z = -117 - s. What is the common denominator of z and -31/8?
8
Let i be ((-43)/(-18475))/(268068/312727490). Let w = 18209/268068 - i. Let u = w + -2/739. What is the common denominator of -75/22 and u?
220
Suppose -5*s = -5*y - 3 - 7, -5*s - 2*y = -24. What is the lowest common multiple of s and 3?
12
Let m(v) = v**2 + 2*v + 1. Let a be m(3). Let q be (2/(-4))/((-1)/a). What is the common denominator of 1701/140 - 2/q and 26/3?
30
Let u be (-1)/((-3)/(-3 - -39)). Suppose 4*k = -u, -3*a + 3*k = -14 - 1. Calculate the lowest common multiple of a and 12.
12
Let d = 12 + -7. Suppose -3*g - 31 = 2*w + d, -4*w - g = 82. Calculate the common denominator of w and 13/9.
9
Suppose 0*k - 4*k = -40. Let v = -8 - -9. What is the least common multiple of v and k?
10
Let k(g) = 24*g**2 + g. Let d be k(-1). Let p be -6 + 3 - 12/(-3). Let q = d - p. What is the least common multiple of q and 12?
132
Let x be (-4)/8 - 172/(-7). Let p = 24 - x. Find the common denominator of 43/6 and p.
42
Let d(f) = -f**2 - 10*f + 1. Let x(l) = l**2 + 9*l. Let n(a) = 5*d(a) + 6*x(a). Calculate the least common multiple of n(-5) and 4.
20
Suppose 3*d + 12 = 2*d. Find the common denominator of 6/24*(-1)/1 and -1 + (-255)/d - 0.
4
Let r = -3865 + 34834/9. Suppose -2*a + 2*y + 24 = 0, -4*a + 58 = -5*y + 6. What is the common denominator of 114/(-40) + (-2)/a and r?
90
Suppose -9*b + 11*b - 14 = 0. Suppose 3*p - 4*r - 23 + 3 = 0, r + 5 = 3*p. Let o = 3 + p. What is the least common multiple of b and o?
21
Suppose -3*y + 12 = 0, o + y = -3*o + 28. What is the least common multiple of o and 9?
18
Calculate the common denominator of (-10)/25 + 433/(-30) and 79/46.
138
Suppose -2*n = 2*s - 2, -2*s = -4*n + 2*s + 44. Suppose -3*r + n + 6 = 0. Calculate the smallest common multiple of r and 4.
4
Let k = 1500877/36 - 41688. What is the common denominator of 11/9 and k?
36
Suppose 0*g = -p - g - 24, 40 = -2*p + 2*g. Let w = p - -42. Suppose -4*n + 6*n = w. Calculate the least common 