and 8?
136
Let g(n) = 2*n + 5. Let p be g(0). Suppose -s = -p*s + 64. What is the lowest common multiple of 58 and s?
464
Let c = -213 + 610. What is the common denominator of 2 + (-3)/(-5) + c/30 and 101/22?
66
Suppose -12*g = -6*g - 18. Let d(o) = -o**2 - 7*o + 8. Let l be d(-7). Suppose m - l = -3*m. Calculate the least common multiple of g and m.
6
Let c = 1697/2 + -881. Calculate the common denominator of c and (-13 - 2)/5 + (-37)/20.
20
Let x(p) = p**2 + 8*p - 43. Let g be x(-13). Calculate the smallest common multiple of 7 and g/(-11)*22/(-4).
77
Calculate the common denominator of 78/14 - (2 - 1) and 11/((-77)/(-2)) - (-1298)/(-84).
42
What is the smallest common multiple of 7 and 105/2*(-44)/(-110)?
21
Let t = 10/621 - 26863/9936. Let u = 220574 + -1752941/8. Let r = u - 1449. Calculate the common denominator of r and t.
16
Find the common denominator of -149/84 and 40/(-2310) - (-8)/12.
924
Suppose 0*n + 216 = 4*n. Suppose -4*h - 2*z = -n, -3*z = 5*h - 2*h - 48. Let u = 4 - -5. Calculate the smallest common multiple of u and h.
99
Suppose 3*m - 26 - 1 = 0. Suppose -4*d = 4*h - 4, d - m = -0*h - 3*h. Calculate the lowest common multiple of h and 10.
20
Let x(a) = a**3 + 64*a**2 - 203*a - 104. Calculate the lowest common multiple of x(-67) and 90.
90
What is the common denominator of -83/132 and (-1804)/288 - 48/(-6)?
792
Let w = -17 - -13. Let j be (-10555)/90 - w/(-18). Let m = 91 + j. Find the common denominator of m and 49/16.
16
Let y = -18 - -14. Let k be 16 - 4*y/4. Suppose 4*b - 3*b = k. What is the smallest common multiple of b and 46?
460
What is the common denominator of 83/297 and (-105)/126*(-2)/495?
297
Let f(q) = q**2 + 77*q - 151. Calculate the least common multiple of 5 and f(2).
35
Suppose -2*t - k + 14 = 0, 3*t + 17 = -5*k + 24. What is the smallest common multiple of t and -2 + 2 - 0 - -6?
18
Let p(c) = 10*c + 55. Calculate the smallest common multiple of 30 and p(5).
210
Calculate the common denominator of -87/208 and (238/(-65))/((-352)/40).
2288
Let y(q) = -q**3 - 3*q**2 + 5*q - 2. Let v be y(-5). Let z = -23 + v. Suppose z = -2*k + 4 + 12. Calculate the smallest common multiple of 20 and k.
40
Suppose 41 = 5*a + 11. Let g = 6 + 0. What is the least common multiple of a and g?
6
Let s(y) = 21*y - 1. Suppose -22*k - 5 = -49. Calculate the lowest common multiple of k and s(1).
20
Let n = -14659744905/25232 + 11039016/19. Let y = n - -19/83. Calculate the common denominator of 103/10 and y.
80
Suppose -5*r + 10 = -3*r, 0 = 4*d + 4*r - 4. Find the common denominator of (-450)/56 - 3/d and -24/11.
77
Let c(o) = o**2 - 3*o. Let t = -15 - -35. Calculate the smallest common multiple of t and c(4).
20
Let u(g) = g - 9. Let m be u(12). Suppose r = m*r. Suppose -3*c - 11 + 59 = r. What is the lowest common multiple of c and 22?
176
Let a = -3/15437 + 895577/1188649. Find the common denominator of a and 54/77.
77
Let y = 8 + 1. Calculate the lowest common multiple of (-66)/4*(-5)/(75/10) and y.
99
What is the least common multiple of 385/50 + (-21)/(-70) and 16?
16
Let l = 5762/1341 + 22/149. Calculate the common denominator of l and 4/6 + 9/3 + -6.
9
Suppose 3*z = 2*s + 20, -3*z + 5*s = -4 - 28. Suppose 24 = -z*x + 7*x. What is the smallest common multiple of 11 and x?
88
Suppose 3*p = 2*h - 25, -2*p + 4*p = 4*h - 30. What is the smallest common multiple of -3*1 + p/(-1) and 12?
12
Calculate the least common multiple of 1/16*6 - (-23905)/40 and 7.
4186
What is the lowest common multiple of 2 + (-10)/((-60)/42) and 23?
207
Let h(c) = -c**2 + 11*c - 18. Let p(s) = s**2 - 2*s. Let a be p(-2). Calculate the least common multiple of h(a) and 4/(4/(-3))*-5.
30
Let s = -65 + 69. Suppose 0 = p - 2*j - 8, s*p - p = 2*j + 32. Calculate the least common multiple of p and 40.
120
Let n = 309 + -1576/5. What is the common denominator of (-32)/80*(-441)/36 and n?
10
What is the least common multiple of (24/15)/((-6)/(-15)) and 9?
36
Let a = -70478043/22 - -3194840. Let o = a - -8711. Let y = 1/889 - 63131/10668. Calculate the common denominator of y and o.
132
Let n = 110 + -42. What is the least common multiple of (1 + (-20)/15)*-42 and n?
476
Suppose 0 = -2*k - 4, -4*q + 0*q + 5*k = 7522. Let z = -33869/18 - q. What is the common denominator of 2 - 3/2 - 0 and z?
18
Let v(y) = 126*y**2 - 2*y + 2. What is the least common multiple of 14 and v(1)?
126
Find the common denominator of -51/10 and ((-162)/(-120))/(111/8).
370
Suppose -1344 = -9*i + i. What is the lowest common multiple of 56 and i?
168
Suppose 5*i = c + 37, 5*i + c - 30 = 13. Let v(r) = r + 4. Calculate the smallest common multiple of 160/30 + (-4)/(-6) and v(i).
12
Let o = -255/17297 - 2/353. Let i be (50/6300)/(14/(-232)). Let y = o - i. Calculate the common denominator of 40/11 and y.
99
Let k = -3917 - -39229/10. Calculate the common denominator of k and -75/4.
20
Find the common denominator of (-1279)/1140 + 98/931 and 47/72.
360
Let k = 426597/22 - 19387. What is the common denominator of k and 55/12?
132
Let y(v) = v**3 - 8*v**2 + 9*v - 10. Let w be y(7). Suppose 0 = -4*q - 4*h - 536, q + w*h - h + 128 = 0. What is the common denominator of -77/2 and q/6 + 4/6?
6
Suppose 0 = -5*y + 7 + 18. Suppose -y*m + 12 = -2*m. Suppose -2*l + 43 - 13 = 2*f, 3*f - 12 = 0. What is the lowest common multiple of l and m?
44
Suppose 0 = -132*j + 127*j + 600. Calculate the lowest common multiple of j and 176.
2640
Let t = -2096747/316 + 6635. What is the common denominator of t and 85/44?
3476
Let h be (-114)/10 + (-20)/(-50). Let j = 29 + h. Calculate the least common multiple of j and 20.
180
Let m(g) = -4*g - 4. Let i be m(-4). Suppose 0 = -5*a - i - 198. Calculate the common denominator of (-56)/a*(-72)/14 and -89/8.
56
Let q = 362/7 - 6271/126. What is the common denominator of -113/114 and q?
342
Let y = 122 - 116. What is the common denominator of 85/18 and y*(-2)/(-4) - 46/12?
18
Let z = 66 - 48. Calculate the lowest common multiple of z and 30.
90
Let j = -11704/5 - -328147/140. What is the common denominator of 113/14 and j?
28
Let p = -277391/51204 + 3/4267. Find the common denominator of -47/10 and p.
60
Let v = -120 - -70. What is the common denominator of 73/20 and ((-4)/(-16))/(6/v)?
60
Let d be 16999/6 - 5/15*9. Let p = d - 2819. What is the common denominator of 165/42 - (-4)/14 and p?
42
Let l(x) = 3*x**2 + x. Let b be l(1). Let m(g) = -g**2 - 11*g - 1. Find the common denominator of b + -22*(-4)/(-18) and m(-7).
9
Suppose -o - 1 = -7. Suppose o = t + 4. Calculate the smallest common multiple of (88/20)/((-1)/(-5)) and t.
22
Let o be 24/15*45/6. Suppose o*v - 8*v - 72 = 0. Calculate the least common multiple of 6 and v.
18
Let w(y) = -y - 11. What is the least common multiple of 20 and w(-13)?
20
Suppose w + 45 = -5*s - 0, 85 = -4*w - s. Let c = w - -28. Calculate the lowest common multiple of c and 2.
8
Let o be (294/4)/7*2. Let d(b) = b - 14. Calculate the least common multiple of 7 and d(o).
7
Suppose 5*u - 45 = -3*m, 3*m + u + 2*u = 39. Suppose 2*g - 5*w - 33 = 0, 0 = 3*g - 3*w - 103 + 40. Calculate the least common multiple of m and g.
120
Let l be ((-8)/3)/(4/18). What is the common denominator of (-18)/l - 46/(-50) and (-3 - -5) + 42/32?
400
Suppose 0 = 4*r - 2*q + 2, 5*q - 5 = 5*r + 10. What is the least common multiple of r and 12?
12
Let x = -36 + 30. Let m(r) = -2*r + 4. What is the least common multiple of m(x) and 18?
144
Let d(r) = -r**2 - 13*r - 9. Calculate the lowest common multiple of 3 and d(-6).
33
Suppose -445*f + 12 = -439*f. What is the least common multiple of f and 98?
98
Let v = -66/29 + 1058/261. Let j(q) = -q**3 - 6*q**2 - 2*q - 3. Let z be j(-5). What is the common denominator of v and (-318)/4*(-2)/z?
18
Let q = -73/18 - -203/18. Suppose -25 + 7 = 3*p. What is the common denominator of 1/(p/15 - -1) and q?
9
Let f be 6/(((-27)/6)/3). Calculate the least common multiple of (2/3)/((-1)/(-6)) and (2/(-4))/(2/f).
4
Suppose -4*j - 346 = -466. What is the least common multiple of 66 and j?
330
Suppose -v = v + 112. Let s = -23 - v. What is the least common multiple of 6 and 1 - (-11)/(s/18)?
42
Suppose 2*l + 184 = 2*t, l + 0 = -t + 100. What is the smallest common multiple of 10 and t?
480
Let u(i) = -i**3 - 7*i**2 + 11*i + 54. Calculate the