-47/22 and (t/(-25))/(16/154).
220
Let u(w) = -w**3 - 8*w**2 - 8*w + 1. Let t be u(-7). Suppose -a + t = -5*x, x - 28 = -a - 4*x. What is the smallest common multiple of 136 and a?
1224
Calculate the common denominator of 2/(-3)*(-273)/(-20) and 222/(-20)*(-95)/38 - (-4)/(-16).
10
Let k(r) = r**3 + 7*r**2 - r - 9. Let c be k(-7). Let b = c - -16. Calculate the lowest common multiple of 6 and b.
42
Let b(w) = -w - 2*w**2 + w**2 + 6*w. Let h be b(4). Suppose -j = -1, -h + 46 = 4*c + 2*j. Calculate the least common multiple of 5 and c.
10
Let l be (6/8 - -1)*(-32)/(-8). Suppose 4*u - 98 = -5*y, -2*y + l*y - 92 = -u. Calculate the lowest common multiple of y and 10.
90
Calculate the common denominator of (-170)/(-20) + -9 + (-83)/60 and 61/14.
420
Suppose -a - 5 = 3*y, 0 = -7*a + 8*a - 3*y - 7. What is the lowest common multiple of 2 and a?
2
Suppose 2*c + 38 = 5*z, 75*c - 72*c = 18. Let u(l) = -l**3 + 6*l**2 + 5. What is the least common multiple of z and u(6)?
10
Let f = -130 - -188. Let g = 38 - f. Find the common denominator of (24/g)/(3/(-105)) and -37/5.
5
What is the common denominator of (1*(-364)/(-576))/((-12)/9) and 119/320?
960
Find the common denominator of (11/8)/(((-3355)/(-50))/(-11)) and 43/36.
2196
Suppose 3*i + 12 = 4*b - 2*b, 2*b = -3*i + 36. Calculate the common denominator of 138/80*10/b and 47/26.
208
Let t(w) = -w**3 - 16*w**2 - 22*w + 3. Let z(n) = -2*n**2 + 2*n + 9. Let k be z(4). What is the smallest common multiple of 6 and t(k)?
108
Suppose 2*o = -5*z + 13, -o - 8 = -3*o. Let r(u) = -6*u**3 - u**2 + 2*u**3 - u - 7*u**3. Calculate the lowest common multiple of r(-1) and z.
11
Suppose 2112 = -h - 3*h. Let k be (-2)/(h/(-590)) - 0. Let u = k - -42/11. What is the common denominator of 93/14 and u?
84
Suppose 15 = 2*u + 3*u. Suppose p - u*p = -44. Calculate the smallest common multiple of p and 18.
198
Suppose 0*d + 30 = 3*d. Suppose 4*x + x - d = 0. Let s(n) = -n**3 + 9*n**2 - 6*n - 4. Calculate the lowest common multiple of x and s(8).
12
Suppose -50*u + 49*u + 444 = 0. Suppose 4*l - u = -4*x, -14 + 236 = 2*l - 2*x. What is the least common multiple of l and 8?
888
Let x = -31 - -33. What is the lowest common multiple of (9/(9/3))/x*8 and 16?
48
Let g = 1510653/8398 + -3059/17. What is the common denominator of g and 149/6?
1482
Let c = -1071179/40 + 26781. Calculate the common denominator of c and 21/64.
320
Suppose -3*m + 34 + 11 = 0. What is the lowest common multiple of 10/m*6 - -10 and 2?
14
Let h = 26 + -8. Suppose -u - 8 = -3*u. Suppose 0 = -l - u*l - 4*b + 34, 5*l - 3*b = 62. Calculate the least common multiple of h and l.
90
Let c = 17 + -1. Let r(g) = 2*g**2 + 8*g. Let n be r(-4). Suppose n = -22*o + 26*o - 24. Calculate the least common multiple of c and o.
48
Suppose w - 5*k = -8*k + 18, -2*w - k + 36 = 0. Suppose j - 4*f = 16, -5*f = -0*j - 4*j + 119. Let i = -20 + j. Calculate the lowest common multiple of w and i.
144
Let u = -78 - -47. Let l = -29 - u. What is the smallest common multiple of l and 18?
18
Suppose 10*d + 1344 = 106*d. What is the least common multiple of d and 238?
238
Calculate the common denominator of (-14)/(0 + 7 + -1) and -17/24.
24
Let y(s) = -70*s**3 - 2*s**2 + s + 2. Let q be y(-1). Let c = q + -51. What is the lowest common multiple of c and 16?
144
Let x(o) = -o**3 + 3*o**2 + 2*o - 4. Let n be x(4). Let f(z) = -z**3 - 11*z**2 + 12*z + 18. Calculate the least common multiple of 10 and f(n).
90
Let q(x) = -x**3 - 2*x**2 + 9*x + 11. Let l be q(-1). Let u be (-1)/3 + (-14)/(-6). Suppose -27 = -u*c + l. Calculate the least common multiple of 22 and c.
154
Let w = 602 - 600. What is the lowest common multiple of w and 162?
162
Let m be (2/4)/(9/36). Let k = m + 7. Suppose 120 = 68*h - 28*h. Calculate the lowest common multiple of h and k.
9
Let a(v) = 10*v**2 + v + 2. Calculate the smallest common multiple of 60 and a(-2).
120
Let m be (1 - 1) + (12 - 5) + -3. Suppose -4*t - 4*y + 107 = -3*y, 4*y - 92 = -m*t. Calculate the least common multiple of t and 7.
28
Let n(o) = -4*o + 35. Let a be n(10). Suppose -y - 3 = -12. What is the lowest common multiple of ((-21)/y)/(a/15) and 3?
21
Let d be (-1)/3 + 8794/(-12). Let t = -743 - d. What is the common denominator of t and (6 + -3)*(-325)/240?
48
Suppose 2*t = -a - 6, -2*a + 7 = -2*t + 25. What is the smallest common multiple of 15 and -3 + (2/a - 290/(-8))?
165
Let y = -235325/21 + 11208. What is the common denominator of -117/70 and y?
210
What is the lowest common multiple of 105 and (-762)/(-42) - 3/21?
630
Let q = -5267 + 31723/6. Calculate the common denominator of 18/169 and q.
1014
Suppose -2*y + 2*j + 28 = 4, -4*j = -5*y + 64. Suppose 6*s = 13*s. Let m = y - s. What is the least common multiple of m and 4?
16
Let q(o) = -o + 3. Let c be q(-3). Let b be (16/15)/(c/645). Let f = b - 701/6. Calculate the common denominator of 27/14 and f.
42
What is the common denominator of 65/12 and ((-4)/(-18))/((-3522)/441 + 8)?
12
Let r = 11 + -1. Suppose -8 = -2*c - 2*m - 0*m, 26 = 5*c - m. Suppose 3*t = 4*v - 113, -150 = -c*v - t + 3*t. What is the least common multiple of v and r?
160
Find the common denominator of -3 + (452/(-237) - -5) and 31/21.
1659
Suppose 0 = 4*s + j - 84, -84 = -4*s - 2*j + 4. Calculate the lowest common multiple of 50 and s.
100
What is the common denominator of -55/18 and (17/(-1513))/((18/(-141))/(-3))?
1602
Let g(v) = -289*v + 3. Calculate the smallest common multiple of g(-1) and 14.
2044
Let v = 1593089/42 - 37927. What is the common denominator of v and 19/234?
1638
Suppose 94*m - 88*m = 192. Suppose -5*o - 3*c + 40 = -2*c, -4*o + 4*c = -m. Let b = 9 + 1. What is the smallest common multiple of o and b?
40
Let g = -31128/17 + 1830. Calculate the common denominator of g and 29/19.
323
Suppose -13*q + 81 = -4*q. Calculate the smallest common multiple of 206 and q.
1854
Let g be (-29506)/(-3474) + -2 + -1. Let k = -12/193 - g. Find the common denominator of ((-4)/30)/((-16)/(-492)) and k.
90
Let z(s) = -s + 7. Let r(t) = 3*t**3 + 2*t**2 - t - 2. Let a be r(-1). What is the least common multiple of z(a) and 6?
18
Let a = 273 - 271. Suppose -2*f - 18 = -w, -w + 7*f = 2*f - 33. Calculate the least common multiple of a and w.
8
Let j(p) = -8*p**3 + 6*p**2 - 3. Let a be j(-4). Find the common denominator of 121/10 and 253/a + 4/22.
10
Suppose 6*g + 33 = 3*c + 3*g, 5*g - 41 = -3*c. Suppose v - c = -0*v + 4*r, -r = -3*v + 25. Calculate the least common multiple of v and 16.
16
Let z = 1/1988 - 4979/17892. Let y be 23*(2380/(-48) + -4). Let i = y + 1235. What is the common denominator of z and i?
36
Suppose 0 = -2*v + 8*v - 918. Let n = v - 108. What is the common denominator of (645/n)/((-20)/3) and 89/10?
20
Let x = 173150 + -7098634/41. Let q = -9609/656 + x. What is the common denominator of 4329/520 - (-1)/(-5) and q?
16
Let d = 70 - 52. Calculate the lowest common multiple of 129 and d.
774
Calculate the least common multiple of -1 + (3 - 2) - -3 and (-6)/(-9)*(-297)/(-18).
33
Let i = 2/36213 - -1291585/217278. Calculate the common denominator of i and -43/45.
90
Let o be ((-18)/4)/((-1)/6). Let y be -5 - (-2 + -2 + 12). Let u = o + y. What is the smallest common multiple of u and 10?
70
Let g = -10105/8 + 1267. Calculate the common denominator of g and (-2)/(-8) + (2 - -2).
8
Let q(v) = v**2 + 7*v. Let m be q(-7). Let g = m + 6. Suppose 9*s - 96 = -3*s. Calculate the lowest common multiple of s and g.
24
Suppose 22 = -5*k + 82. Suppose -9201*v + 9213*v - 96 = 0. Calculate the smallest common multiple of k and v.
24
Let g(i) = -33*i + 57. Let k be g(8). Let s = 384 + k. What is the lowest common multiple of 9 and s?
531
Let u = -8 + 13. Suppose 5*m - 3*z = 9 + 40, 0 = -4*m - u*z + 54. What is the smallest common multiple of m and 4?
44
Suppose -2*u + 24 = -0*u. Calculate the common denominator of ((-12)/20)/(2/165) and ((-33)/u)/(2/(-8)).
2
Let z = 1139 - 564. What is the lowest common multiple of 11 and z?
6325
Suppose 0 = -4*x + 5*u + 67 + 23, 0 = -u + 2. Suppose 0 = -5*p - 5 + x. What is the lowest common multiple of p and 5?
20
Calculate the smallest common multiple of 99 and 99 - 1/(-2)*-18.
990
Let z = -753 - -757. Calculate the least common multiple of 714 and z.
1428
Let n(k) = -k**3 - 7*k**2 - 4*k. Let b 