
296
Suppose -2*b + 0*b - 42 = u, 2*b - 198 = 5*u. Let w = 68 + u. What is the common denominator of -127/12 and (-1 - (-41)/w)/1?
84
Suppose -2*i = x - 5, -2*x + 15 = 3*i + 2. Let h(f) = -4*f - 1. What is the lowest common multiple of x and h(-2)?
77
Suppose 2*q = -0*q - 4. Let w = q + 30. Calculate the smallest common multiple of 70/w*(-6)/(-5) and 8.
24
Let y = -197 - -3350/17. Let z = y + -1155/272. Calculate the common denominator of z and 97/22.
176
Suppose -2*u + 4*i = -i - 181, -u + i = -83. Suppose 75*s + 12 = u*s. Calculate the lowest common multiple of 20 and s.
20
Let f(y) = -y**2 + 24*y - 27. Let a be (1 - 3) + (0 - 8). Find the common denominator of 108/a + 3/(-6) and f(22).
10
Suppose -2*i = 5*u - 0*i - 78, 5*u - 75 = -5*i. Suppose 5*q - 5*t = 105, -2*t = -2*q - 3*q + 114. Calculate the least common multiple of q and u.
48
Let h(f) = f - 1. Let t be h(3). Let s = -77 - -77. Suppose s = -z - t + 14. What is the least common multiple of z and 4?
12
What is the common denominator of 33/7 and 4 + 77/(-49)*6/3?
7
Let h = -9 + 15. Suppose -3*n + 6 = -h. Suppose -96 = -s - 3*s. What is the least common multiple of s and n?
24
Let p = 4843/32420 - -1/1621. Calculate the common denominator of p and ((-34)/10)/((-22)/(-5)).
220
Let b(v) = -6*v**3 + 13*v + 5. Let c be b(-5). Calculate the common denominator of c/1092 + (-4)/14 and 101/2.
26
Let x = 991/4 - 10741/44. Find the common denominator of 31/86 and x.
946
Suppose -22 = 2*k - j, 0*j - 5*j + 65 = -5*k. What is the common denominator of ((-423)/(-10))/k + 1 and (20/32)/(9/52)?
90
Let q be (2 + 6002)/((-26)/(-39)). Let z = 180063/20 - q. What is the common denominator of z and -19/12?
60
Let t be 3/(-1)*(-4)/12. Calculate the least common multiple of (-2*t - -13) + 1 and (-8)/16*(-44 + 1 + -1).
132
Suppose 24*r + 0*r - 1584 = 0. What is the smallest common multiple of 126 and r?
1386
Let j be 2/(-1) + (-2)/(-2). Let m(l) = -l**2 + l + 14. Calculate the smallest common multiple of m(3) and ((-6)/9)/(j/3).
8
Let a = 0 + 6. Suppose -5*o + 5*r = 45, 3*o + 3*r + 23 = 2. What is the lowest common multiple of (-2)/(-8) - a/o and 2?
2
Let r = -31897/20 - -1593. Let i = -4/3801 + 186337/83622. What is the common denominator of r and i?
220
Suppose 4*a - 3*m - 45 = 216, 325 = 5*a - 5*m. What is the lowest common multiple of a and 6?
66
Suppose -30 = -6*i + 54. Calculate the lowest common multiple of (-26)/(-91) + (-2 - (-332)/i) and 6.
66
Suppose -5*i = -10*i - 15. What is the common denominator of -49/18 and i/(108/(-166)) - (0 + -2)?
18
Suppose -134*s + 16 = -132*s. Calculate the lowest common multiple of 1150 and s.
4600
What is the common denominator of (1*(-129)/6)/4 and 38*(-6)/(-40) + -4 - 4?
40
Calculate the common denominator of (-4)/(-6)*207/92 and -46/15.
30
Let w = 10277 - 328933/32. Calculate the common denominator of -85/88 and w.
352
Suppose 0 = 2*o - 2*r - 34, -r = -4*o + 2*r + 69. Let l = 28 - o. What is the least common multiple of 1 and l?
10
Calculate the smallest common multiple of (324/(-90))/(2 - (-406)/(-200)) and 2.
120
Suppose 12 = b + x, 8 = -7*x + 3*x. Let y = -12 + b. Calculate the smallest common multiple of y and 16.
16
Let k(u) = -u**3 - 41*u**2 - 420*u + 9. Suppose 0 = -6*s + 3*s + 174. What is the least common multiple of s and k(-21)?
522
Let n = -39975247/379016 - -45/8614. Let r = n + 1068/11. Let o = 56281/20 - 11299/4. What is the common denominator of r and o?
40
Let l(j) = -4*j - 16. Let h be l(-8). Suppose 15 = 3*c - 0*c. What is the least common multiple of c and (-4)/h*22*-2?
55
Let c = -12428/7 + 136755/77. Find the common denominator of c and 17/154.
154
Let b be 4/14 + 81560/14. Let a be (-16)/(-30)*b/342. Let c = a - -5/342. What is the common denominator of -125/6 and c?
30
Let k(l) = 3*l**2 - 4*l**2 - 5 + 7*l + 3. Let w(c) = -c**3 - 3*c**2 + c - 2. Calculate the smallest common multiple of k(6) and w(-4).
20
Let a(w) = -16*w**3 + w + 1. Let x be a(-1). Let l = -7013/72 + 841/8. What is the common denominator of l and 0 + 23/x*1?
144
What is the common denominator of 42*1*12/(-176) and -129/70?
770
Let p be -371*(-5)/(-10)*(1 - -1). Find the common denominator of p/60 - -1 - (-6)/(-9) and 49/16.
80
What is the least common multiple of (24/15)/(-4) - 64/(-10) and 42?
42
Let g = -11 + 19. Let a(z) = -g*z + 3 - 2 + 2 - 2. What is the lowest common multiple of 10 and a(-1)?
90
Let h = -6318390 + 94812253/15. Let u be -1 - (3 + 9709)/4. Let s = h + u. Find the common denominator of -17/7 and s.
105
Let b be (1 - 0)/(0 + -1). Calculate the common denominator of (-20)/(-9)*60/64 and b/(-5) - (-2)/80*167.
24
Let w be -2*2 + (-42)/(-3). Suppose -1 = u - w. Suppose -4*r = 1 - u, 11 = 3*p - 5*r. Calculate the least common multiple of 9 and p.
63
Let v = 60450 + -12029515/199. Find the common denominator of v and -31.
199
Let c = 2150 + -2148. What is the least common multiple of c and 53?
106
Suppose 4*r - 14*r = -20. Suppose r*t + 1 = -i, 4*i + i + 4*t = 1. Calculate the least common multiple of 4 and i.
4
Suppose 3*q = 6*q - 66. Calculate the least common multiple of 6 and q.
66
Let m = 3 + -2. Suppose 0 = 8*y - 9*y + 4. What is the lowest common multiple of m and y?
4
Let i(p) = p**3 + 5*p**2 + 9*p + 2. Let b be i(-6). What is the common denominator of 3 + (-380)/b + -4 and 3/4?
44
Suppose j = 9 + 13. Let q(c) = c**3 - 18*c**2 + 14*c + 73. What is the least common multiple of j and q(17)?
22
Let g(b) = 36*b + 56. Let u be g(13). What is the common denominator of (0 + 2)*u/96 and -43/3?
12
Calculate the common denominator of -58/33 and (-2)/18*(-16)/(-8)*3.
33
Let u(o) = -o**2 - 18*o - 39. Calculate the lowest common multiple of u(-12) and 33.
33
Let m = 5671/4 - 1434. Find the common denominator of 169/90 and m.
180
Suppose l = 5*l + 3*d - 35, 5*d = -l - 4. Calculate the lowest common multiple of l and 71.
781
Let a = 3431251/1125 + -3050. Let p = a - -109123/2250. What is the common denominator of 4/3 + -2 + (-763)/84 and p?
4
Suppose 0 = -2*d + 4*s + 52, -2*d + 7*d - 75 = -s. Suppose -3*j = -5*j. Calculate the lowest common multiple of 3/(j + 3/20) and d.
80
Let s = -58 - -142. Let j be (4/(-6))/((-7)/s). Find the common denominator of 9/j + 1/(-2) and 127/18.
72
Let b = 6 + -8. Calculate the common denominator of -12/7 and b/44 + (-57)/38.
77
Suppose -2*c - r + 595 = 0, -c - 5*r + 11 = -264. Let w = 2409/8 - c. Calculate the common denominator of w and 59/5.
40
Let t(p) = -6*p**3 + p - 13. Let n(i) = -7*i**3 - i**2 - 14. Let g(k) = 5*n(k) - 6*t(k). Calculate the smallest common multiple of g(6) and 8.
8
Let l(c) = 2*c**2 + 3. What is the smallest common multiple of 36 and l(-2)?
396
Let l(m) = 4 - 3*m + 9 - 15. Let j be l(2). Calculate the common denominator of (-102)/28 + j/28 and 121/18.
126
Let h(l) = l**3 - 10*l**2 - 4. Let t be h(10). Let u be 376/(-16) - (-2)/t. What is the common denominator of (25 + 1)/(u/10) and 3/16?
48
Let n = 19967461 - 33645177167/1685. Let l = 2/337 - n. Calculate the common denominator of -52/9 and l.
45
Let u = -74994/851 - -2002/23. Find the common denominator of u and 12/11.
407
Let p be (24/(-7012))/(1/48). Let w = 1332029/140240 - p. Let x = w + -1/16. Find the common denominator of x and 56/5.
5
Let v be (-2)/((-6)/(-9)*1). Let l = 29 - v. Find the common denominator of -139/18 and l/48 - 74/8.
36
What is the lowest common multiple of (3 + 1)/(1/(-2)*-2) and 24?
24
Let m be (-6)/((-8)/4) + -1. Suppose -m*b = -0*b - 44. Let i = -20 + b. What is the least common multiple of 8 and i?
8
Let s(t) = -155*t**2 - 11*t + 7. Let r be s(-8). Let c = -294787/30 - r. What is the common denominator of c and 23/12?
60
Let o = 1 - 2. Let m(y) = -21*y. Let p be m(o). Let k = 29 - p. Calculate the lowest common multiple of k and 10.
40
What is the common denominator of 61/30 and (-84)/15*(-4)/96?
30
What is the common denominator of (2 + (-222)/32)/(-1) and 71/262?
2096
Let n = -7 - -2. Let i = 9 + n. Suppose 5*z - 5*b + 4 = -6, -22 = -i*z - 2*b. What is the lowest common multiple of z and 5?
15
Suppose 0 = -k + 2, 5*k = -5*y + 68 + 17. Let g = y + -13. What is the least common multiple of 21 + (-2)/(3 - 5) and g?
22
Let g(l) = -4*l - 30. What is the lowest common multiple of 18 and g(-13)?
198
Let x be ((-4)/(-3))/((-1)/3). Su