and s?
33
Suppose 3 = h - 3*b + 2*b, -27 = -3*h - 3*b. Suppose -6 - 2 = -f. What is the lowest common multiple of f and (9*1)/(h/4)?
24
Let h be (-21501)/12*(-164)/(-60). Let s = -4900 - h. What is the common denominator of s and 9/14?
140
Let s(d) = -2*d - 5. Suppose 0 = 11*g + 8*g - 133. Calculate the least common multiple of s(-5) and g.
35
Let y = -23681/18 + 1310. What is the common denominator of -29/26 and y?
234
Let x(o) = o**3 + 15*o**2 + 36. Calculate the least common multiple of 44 and x(-15).
396
Suppose 4*o - 24 = -4*z, 2*z - 3*o + 11 = 4*z. What is the least common multiple of z and 30?
210
Let i = -8666/3 + 86357/30. What is the common denominator of i and -71/20?
20
Let t = -2/457 - 16899/2285. What is the common denominator of (-702)/(-80) + (-6)/16 and t?
5
Let l(i) = 4*i**2 - i. Calculate the least common multiple of l(-2) and 12.
36
Let h(k) = k**2 + 7*k. Let m be h(-7). Let r(b) = -b**2 - b + 14. What is the smallest common multiple of 2 and r(m)?
14
Let z = 233/927 - 3/103. What is the common denominator of 63/2 and z?
18
Let q(a) = 3*a + 12. Let b be q(6). Suppose -16*k + 13*k = -b. Calculate the least common multiple of 12 and k.
60
Let o(m) = m**2 - 15. Calculate the smallest common multiple of o(-7) and 10.
170
Let r(o) = -o**3 - 4*o**2 + 11*o + 8. Let q(k) = -10*k. What is the lowest common multiple of q(-1) and r(-6)?
70
Suppose 42 = -h + 7*h. What is the smallest common multiple of 12 and h?
84
Let a = -25035/28886 + 4/1313. Let m(i) = 2*i - 6. Let f be m(4). What is the common denominator of a and ((-4)/(-60))/(f/(-3))?
110
Let j(o) = -o**3 + 5*o**2 + 7*o - 4. Let a = -13 + 19. What is the least common multiple of j(a) and 12?
12
Suppose 2*j - 6*j = -40. Suppose 4*h + h = j. What is the lowest common multiple of 10 and h?
10
What is the common denominator of (-3 - -23)*4/35 and 31/6?
42
Suppose 2*q + 0*q = -12. Let l(b) = -b**3 - 5*b**2 + 6*b + 6. Let n be l(q). What is the least common multiple of 6 and ((-2)/n)/(1/(-27))?
18
Find the common denominator of 5/2*106/50 and ((-12)/(-28) - (-1)/(-7))*2.
70
Let r = 34 - 18. Calculate the least common multiple of 28 and r.
112
Calculate the common denominator of 24/37 and (32/10)/(7*(-3)/(-15)).
259
Let l be (-1348)/6*3/12. Let p = l + 146/3. What is the common denominator of p and -89/22?
22
What is the common denominator of -2 + -1 + (-62)/(-4) and (0 - 25/(-10))*(-168)/(-110)?
22
Suppose -48 = -5*h + h. Suppose 5*p - h = -p. Calculate the least common multiple of p and (-1)/(-3)*(-6)/(-2).
2
Calculate the common denominator of -43/13 and 6/(-15) - (-77)/10.
130
Calculate the smallest common multiple of 16 and 76/18 + (-10)/45.
16
Let z(c) = 5*c - 2. Let t be z(2). What is the smallest common multiple of -3*1*t/(-6) and 10?
20
Let n be 8/1*(-1)/(-2). Find the common denominator of 2/3 - 82/(-84) and 236/(-6)*1/n.
42
Let o = 7999 - 80061/10. Calculate the common denominator of o and (-6)/2 + 195/21.
70
Let g = 1036 + -3172/3. Calculate the common denominator of -49/8 and g.
24
Let q(d) = d - 2. Let p be q(4). Let b(x) = -3*x - 2 + 9*x - p*x. Calculate the lowest common multiple of 11 and b(3).
110
Let x = -2 - -4. Let r = -6607/6 + 1106. What is the common denominator of (-456)/(-70) - x/(-10) and r?
42
Let j(a) = -a + 11. Let h be j(0). Suppose h = 3*o + 2. Suppose 6 = -o*f + 12. Calculate the smallest common multiple of 10 and f.
10
Let u = -90 + 96. What is the least common multiple of 20 and u?
60
Suppose k - 18 = 5*l + 12, 0 = 2*k - l - 24. What is the smallest common multiple of 182/k + 6/(-30) and 8?
72
What is the lowest common multiple of 22 and (12/(-9))/(2/(-30))?
220
Suppose -16 = -4*y - 0*y. Let o(q) = -4*q**3 + 2*q**2 - 1. Calculate the smallest common multiple of o(-1) and y.
20
Let l = 29557/6 - 4904. Let w = -1/3948 + 16453/11844. Find the common denominator of l and w.
18
Suppose -3*j - 15 = -3*u, -3*j - 10 = -5*u + 17. Let x = 1 + u. Let g = 7 - -1. Calculate the least common multiple of g and x.
56
Let h = -2/251 - 211/5020. What is the common denominator of h and 89/8?
40
Calculate the common denominator of -79/16 and ((-212)/(-16))/(-2 + -1).
48
Let c(x) = x - 5. Let z be c(6). Let q = -5 + z. Calculate the common denominator of 20 and (q*39/18)/2.
3
Let r = -50558/41 - -1233. Let v = -111/574 - r. Find the common denominator of -83/16 and v.
112
Suppose -8*m + 210 = -m. What is the smallest common multiple of m and 15?
30
Suppose 2*y + 12 = -4*o - 26, -3*o = -y + 26. Let n = 107611/21110 + 5/2111. What is the common denominator of o and n?
10
Suppose -23 = -2*t + 2*y - 7*y, -2*y + 15 = -5*t. Let k = t + -2. Find the common denominator of (k/24)/(5/316) and 113/6.
30
Let i = -31 - -67. What is the lowest common multiple of i and 36?
36
Let d = -3/733 + 5403/245555. Let l = d + 2406/335. Find the common denominator of 37/6 and l.
30
Suppose 0 = 4*x, 4*x = s - 36 + 12. Suppose 31 = 5*u - s. Suppose u + 4 = -p - f, -29 = 3*p - f. Find the common denominator of -19/2 and p.
2
Let r(q) = q**3 - q**2 - q + 1. Let m be r(0). Calculate the common denominator of ((-46)/(-9) - 1) + 0 and m + (-32)/(-44)*2.
99
Suppose -2*o - 39 = -b, 5*o + b = -3*b - 78. Find the common denominator of (-38)/o + 2/(-2) and (-5)/2*(-61)/(-25).
90
Suppose 0 = 5*q - 10 - 5, 4*q - 16 = -a. Let h = 25 - 13. Calculate the least common multiple of a and h.
12
Let g be (-4)/6 - 14/(-3). What is the common denominator of 1010/g*5/75 and 23/7?
42
Suppose 2*q + 12 = -u + 40, -56 = -2*u + 5*q. What is the smallest common multiple of 14 and u?
28
Suppose 58 = -5*p - 7. Let n = p + 15. Calculate the least common multiple of n and (0 - 1) + -1 + 22.
20
Suppose -3*r + 2*r + 4 = 0. Find the common denominator of 1/r - (-200)/48 and -7/6.
12
Let g(z) = z**3 + 5*z**2 + 5*z + 7. Calculate the lowest common multiple of g(-4) and 27.
27
Let b = -30839/14 + 2195. What is the common denominator of -65/8 and b?
56
What is the least common multiple of 6*1/10 - (-609)/35 and 10?
90
Suppose -4*y = 2*j - 8, -4*y + 3 = -2*j + 11. Let p = 4 - y. Suppose t = 2*f + 2, -2*t + 0*f + 2 = -5*f. What is the least common multiple of p and t?
12
Let m = -1400219/10 + 140412. Let i = 1553/4 - m. Find the common denominator of i and -61/6.
60
Let v(z) = z + 1. Let r be v(-3). Suppose 3*p + 3*y + y = 32, 4*y = -5*p + 40. What is the common denominator of r + 1 + 7/p and -23/16?
16
Let g(j) = -j**3 + 5*j**2 + 5*j + 3. Let f be g(6). Calculate the common denominator of f/9 + (-137)/(-12) and 357/136*(-28)/6.
12
Suppose -2*w - 572 = -2*q - 4*w, 5*q - 5*w = 1420. Let t be 1 + -3 - (-5898)/(-21). Let i = t + q. Calculate the common denominator of 20/11 and i.
77
Let g = 98/241 - -15739/3374. What is the common denominator of 41/12 and g?
84
Let h be 102/24 - 2/8. Suppose -t - d = -4*t - 49, 4*t + h*d + 92 = 0. What is the common denominator of -27/8 and t?
8
Suppose -43 + 19 = -4*p. What is the least common multiple of p and 11?
66
Let l(d) = d - 5. Let s be l(5). Suppose -4*c + 7*c = s. Suppose 2*p = f - c*p - 9, 0 = -5*f - 5*p - 15. What is the common denominator of f and -93/10?
10
Suppose -u + 4 = -3*q, 3*q = -7*u + 4*u + 12. Suppose q*i + 16 = 4*i + 2*j, 5*i + 3*j = 20. Calculate the smallest common multiple of i and 6.
12
Suppose 0 = 5*i - 3*b - 30, -13 = -2*i + 2*b - 5. What is the smallest common multiple of i and 18?
18
Let l be 1/4 - 205289/84. Let g = l + 2421. Find the common denominator of 38/9 and g.
9
Let h(o) = o**2 - 5*o + 2. Let v be h(4). What is the common denominator of -1 + v + 244/44 and 38/7?
77
Suppose -3*h - 2 = -14, 4*h = 4*d + 12. Let j be ((-18)/(-4))/(d/(-2)). Find the common denominator of -40/9 and ((-35)/(-8))/(j/12).
18
Let g(i) = -24*i + 2. Let f be g(-4). Let j = 482/5 - f. Find the common denominator of j and -31/10.
10
Let q = -31/386 + 72025/4053. Let d = q + -46/21. What is the common denominator of d and (-14)/(-7) + 112/6?
6
Let g(s) = -s**3 + 6*s**2 - s + 8. Let k be g(6). Calculate the common denominator of -41/10 and (11/(-8))/(1/k).
20
Let z = 223 - 719/3. Calculate the common denominator of z and -55/4.
12
Let s = 4513217 + -1232106892/273. Let c = s + -20/39. What is the common denominator of c and 71/8?
56
Let a(c) = -121*c + 1 - 1 + 3. Let h be a(2). Let w = h + 467/2