of t and -113/6.
42
Let g(w) = w**3 - 5*w**2 + 3*w. Let f be g(5). Let k = -11 + f. What is the lowest common multiple of k and 6?
12
Let z(w) = -7*w - 1. Let a be -2 + 0 + 0/2. What is the least common multiple of (4 + a)/(-1) - -20 and z(-1)?
18
Suppose 42 = -8*y + 9*y. Calculate the lowest common multiple of 30 and y.
210
Suppose 5*s + 2*z + 12 = -z, -3*z - 12 = -s. Suppose s = 2*h + 5*d - 22, -4*h + 42 + 2 = -4*d. What is the smallest common multiple of 68/h + (-4)/22 and 18?
18
Suppose -6*q + 2*q = 8. Let w = 612 + -13469/22. Find the common denominator of w and ((-6)/144)/(q/(-532)).
132
What is the common denominator of 1067/(-66) - 1*-2 and 67/16?
48
Let u be 364/35*10/4. Let m = -16 + u. What is the common denominator of -34/3 and m/(-4)*308/(-100)?
30
Let d be 235*1/(5/(-2)). Find the common denominator of d*1*1/(-16) and (-151)/(-44)*-2 + (1 - -1).
88
Suppose t = 6 - 8. Calculate the least common multiple of 4/t + (18 - 6) and 6.
30
Let i = -2830/23 + 340730/2829. Let c = -17887/1722 - i. Calculate the common denominator of -29/18 and c.
126
Let y = -3/793 - -46805/4758. What is the common denominator of y and -43/4?
12
Calculate the lowest common multiple of 18 and (-1)/4 + 81/4.
180
Suppose -63 = -7*s + 63. What is the lowest common multiple of s and (-2)/8 + 18/8?
18
Let k = -2 - -57. Calculate the least common multiple of k and 25.
275
Let i(j) = -8*j**3 - 3*j**2 - 2*j - 5. Let k be i(4). Let s = k - -198. Let y = s - -4541/12. Find the common denominator of y and -1/14.
84
Let q be (-20)/50 + 216611/(-110). Let r = 1969 + q. What is the common denominator of (1/4)/((-2)/37) and r?
88
Let f = 15 + -8. Calculate the lowest common multiple of f and 36/7 - 1/7.
35
Let n(k) = -k - 1. Let m be n(-6). Suppose 0 = -m*t + 28 + 72. Let r(u) = 21*u - 1. What is the smallest common multiple of t and r(1)?
20
Let o(s) = 5*s**2 - 3*s + 1. Let t = 1 + 3. Suppose 45 = j + t*j. What is the smallest common multiple of o(1) and j?
9
Let t be 2 + 1*-2 - -3. Suppose 1 = -a + t. Calculate the smallest common multiple of 8 and a.
8
What is the common denominator of (-1)/(-6)*-101 + -1 and ((-3)/(-12))/(4*(-2)/46)?
48
Let x = 84 - 44. Suppose -4*t - 1 + 25 = 0. What is the smallest common multiple of x/(-12)*3/(-2) and t?
30
Let g(y) = -11*y**2 - 2*y - 1. Let d be g(-3). Calculate the common denominator of ((-4)/(-8))/((-11)/106) and 0 - (d/6 - -1).
33
Let g = 2 + -1. Calculate the smallest common multiple of 1/(-1)*g - -19 and 10.
90
Let s = -57 - -60. Calculate the least common multiple of 12 and s.
12
Calculate the smallest common multiple of (-1 + -5)*64/(-48) and 4.
8
Let p be (-4)/22 + (-666)/(-33). Let s = -18 + p. What is the least common multiple of s and 20?
20
Calculate the common denominator of (-1079)/130 + 2/(-5) and -101/14.
70
Suppose 0*r = -r, 4*r = 3*a - 171. Calculate the smallest common multiple of a and 6.
114
Let f(t) = -2*t - 1. Let a be f(-2). Suppose -a*y = y - 80. Find the common denominator of 57/7 and (3/14)/(3/y).
7
Let k(x) = -x**2 - 8*x + 11. Let b be k(-8). Calculate the common denominator of -13*1/b - -2 and (-14)/(-27)*-15*1.
99
Let o(r) = 9*r**2 - 5*r + 22. Let f be o(-15). Let k = 8533/4 - f. Calculate the common denominator of k and -23/3.
12
Suppose -4*h - 1 = 2*l - 21, -2*h + 4 = -2*l. What is the smallest common multiple of 14 and h?
28
Let r(v) = -24*v**2. Let j be r(1). Let u be (4/(-3))/((-16)/j). Calculate the least common multiple of 7 and (88/(-12))/(u/3).
77
Let t = -91/2 + 37. Let u be (-9)/4*(-1274)/(-4). Let h = 719 + u. Find the common denominator of h and t.
8
Let t = 534/11 - 2047/22. Find the common denominator of t and -85/18.
18
Suppose c = v + 357, 3*v + 4*c + 1079 = -c. Let o = v - -1031/3. Find the common denominator of o and -145/6.
6
Let l = 17 + -12. Suppose 3*o = 5*c - 5, c - 2*o - 1 = -0*o. What is the least common multiple of l and c?
5
Let j = 2 + 7. Let v(h) = h**2 - 7*h - 10. What is the smallest common multiple of 10 and v(j)?
40
Let l(v) = 9*v + 29. What is the common denominator of l(-8) and 30/17?
17
Calculate the common denominator of 52/(-91) + (-279)/(-84) and -65/34.
68
Suppose 0 = 4*l - 61 + 17. Calculate the smallest common multiple of l and 7.
77
Suppose -3*d + 7*d - s - 17 = 0, 2*d + 19 = -5*s. What is the smallest common multiple of d and 8?
24
Let v(q) = -q + 9. Let n be v(4). Suppose 0 = n*u - 6 - 44. Suppose 3*x - 4 - 11 = 0. What is the least common multiple of u and x?
10
Let q(c) = -2*c - 1. Let j be q(-1). Let w be -2 - 66/(-2*j). Suppose 4*b - 9 = w. What is the smallest common multiple of b and 9?
90
Suppose 0 = -n - 2*z + 8, 0 = z - 0*z - 2. Calculate the least common multiple of 5 and n.
20
Let i = 2534 + -55689/22. Calculate the common denominator of 89/10 and i.
110
Suppose x = 2*x + 5*f - 1, -3*f + 27 = 5*x. Let u be (x/4)/(3/4). Suppose -3*i - 3*y = -33, -y = 3*i - u*y - 13. What is the least common multiple of i and 3?
6
Let h = 56 - 34. Suppose -4 - h = -5*v - 4*s, -4*v + 16 = 2*s. Suppose 0 = -4*f + 53 - 13. What is the lowest common multiple of f and v?
10
Suppose 4*c - 9*c = -25. Suppose -c*p = p - 54. Calculate the least common multiple of p and 7.
63
Suppose 10*o - 15*o = -10. Let h(w) = -w**2 + 7*w + 6. Calculate the smallest common multiple of o and h(6).
12
Suppose -2*l - 5*t - 18 = -0*l, 2*l = 4*t + 18. What is the smallest common multiple of 5 and l?
5
Let f = -15305 - -504991/33. What is the common denominator of f and 47/9?
99
Let u(t) = t**3 + 4*t**2 + 2*t - 1. Let y = 14 + -13. What is the least common multiple of u(-3) and y?
2
Suppose -2*n - n + 12 = 0. Suppose -7 + 1 = -3*f + n*r, 0 = -f + r + 1. What is the least common multiple of (3/(-6)*4)/f and 7?
7
Suppose -2*m = 2*m. Find the common denominator of -71/2 and m.
2
Find the common denominator of -59/8 and (4 - (-102)/(-10)) + -1.
40
Let s = 40/63 - 1/42. Let w = s - 89/72. Let u = -13750 - -165125/12. Find the common denominator of w and u.
24
Let p be (-6)/(-4)*2/(-3). Calculate the common denominator of 1255/100 + p/(-5) and -51/11.
44
Find the common denominator of (-20)/(-56)*186/10 - 0 and 123/20.
140
Let j(b) = -b**2 - 5*b - 3. Let p be 2/4 + (-104)/16. Let v be j(p). What is the common denominator of -29/10 and ((-3)/(-7))/(v/(-96))?
70
Let s = 7608 - 45761/6. Let m = -4/135 + 6901/540. Calculate the common denominator of s and m.
12
Find the common denominator of 6/7 and 46*((-84)/20 - -4).
35
Let q(v) = v**2 + v - 25. Suppose 0*r - 2*r = 0. Let k be q(r). Let t = k + 279/11. What is the common denominator of t and 23/4?
44
Let x(j) = 3*j**2 + j - 1. Let c be x(-2). Suppose 4*l = -a + 25, -a + 4*a + c = 2*l. Calculate the least common multiple of l and 14.
42
Let x be 3/(3/6*-2). Suppose -3 - 5 = -4*d. Calculate the lowest common multiple of 4/((-1)/3*x) and d.
4
Let d(z) = z**2 - 2*z + 3. Let j be d(2). Suppose -4*x + 7 - j = 0. Calculate the lowest common multiple of x*1/(2/6) and 10.
30
Let q = 1380 + -4100/3. What is the common denominator of -73/30 and q?
30
Let n = -2/2981 - -12061/4647379. Let x = -160643/34298 + n. Let d = -7699/6 - -1294. Find the common denominator of x and d.
66
Let w be (-61)/(-3) - 1/3. Suppose -5*p - 2*u + w = 0, 4*p + 7*u = 3*u + 28. Suppose -10 = p*x - 7*x. What is the least common multiple of 4 and x?
4
Suppose -2195 - 1165 = -3*g. Suppose 0 = 2*r + 4*r - 24. What is the common denominator of r/(-14) - (-5150)/g and -115/6?
48
Suppose 2*d - 3*c + 5 - 14 = 0, -5*c + 10 = 5*d. Let r(g) = g**3 + 3*g**2 - 5*g. Let s be 6/21 - 30/7. Calculate the least common multiple of d and r(s).
12
Let d = 8 - 1. Let m(v) = 3*v**2 - v + 4. Let s be m(6). Suppose -2*u = -5*o + s, 32 = o - 2*u + d*u. What is the lowest common multiple of o and 2?
22
Let i(f) = -f**2 - 9*f - 4. Let r be (-25)/3 + 1/3. What is the least common multiple of i(r) and 8?
8
Let f = 409 + -391. What is the smallest common multiple of (-3 + 1)*2*-4 and f?
144
Let a = 2 + -4. What is the lowest common multiple of 4 and 3*((-44)/(-6) + a)?
16
Let f(n) = -n - 1. Let j be f(1). Calculate the common denominator of j - (-21)/(-30) - 0 and -31/11.
110
Let o = -207391/7 - -31046. Let i = o + -1426. What is the common denominator of -24/5 and i?
35
Let q = 15 - 11. Suppose -q*v = -3*v + 6. Le