
12
Let g be (-4)/(((-2)/(-7))/1). Let u = -4 - g. Let h = 18 + -11. What is the lowest common multiple of h and u?
70
Suppose -x + 2*x + 4*v - 7 = 0, -x + 2*v + 1 = 0. Calculate the lowest common multiple of 2 and x.
6
Let p = -10025 - -160487/16. What is the common denominator of p and 14/35 + (-222)/80?
16
Let t be (10/102)/(2/(-2736)). Let z = 24128/187 + t. Calculate the common denominator of ((-2)/(-10))/(1*(-2)/(-66)) and z.
55
Let g = 18505/6 - 3092. Let s be (-79)/22 + (-4)/8. Let i = -755/198 - s. Find the common denominator of i and g.
18
Suppose 7*s - 50 = 2*s + 2*t, 3*s = -t + 19. Calculate the least common multiple of 4 and s.
8
Let z = -3177/2 - -1551. What is the common denominator of 73/18 and z?
18
Calculate the common denominator of 31 and (-338)/(-60) + 8/12.
10
Let w be 87*1/(54/1462). Let b = 2360 - w. Find the common denominator of -59/6 and b.
18
Let q = -110 - -138. Calculate the lowest common multiple of q and 20.
140
Let b(a) = a**2 - 4*a + 48. What is the least common multiple of 28 and b(0)?
336
What is the common denominator of -36/11 and -8 + (-3 - -7) + 132/45?
165
Suppose 0 = -l - m - 0 + 27, 5*l = -2*m + 120. Calculate the least common multiple of 6 and l.
66
Let j = -9965/4 + 2466. Let s(i) = -i**3 - 7*i**2 + 2*i - 4. Let f be s(-4). Calculate the common denominator of j and (-106)/f - 1/(-3).
20
Let g be -46 - (-3 - (-3 - -2)). Suppose -27 = -0*r - 3*r. Calculate the lowest common multiple of r and g/(-12) + 4/(-6).
9
Let f = -18 - -27. What is the least common multiple of 27 and f?
27
Let m(k) = -k**2 + 7*k - 1. Suppose -4*h - h - 2*s + 22 = 0, s + 10 = h. What is the least common multiple of 11 and m(h)?
55
Find the common denominator of (237/(-9) + -1)/18 and -91/15.
135
Let p be (5/1)/((-2)/52). Find the common denominator of 50/p*(-28)/(-10) and 87/4.
52
Let o = 19 - -6. Let n = -16 + o. Calculate the least common multiple of (-6)/27 - (-11)/9 and n.
9
Let m be 531/(-7) + -3 + 3. Let x = m - -2759/42. Find the common denominator of -43/14 and x.
42
Let u = -17 - -27. Calculate the lowest common multiple of u and 12.
60
Let j be (-700)/(-7) - (1 + -4). Suppose -4*i = q + 105, 0*i = 4*i - q + j. Calculate the common denominator of (-16)/2*4/(-18) and i.
9
Let m(x) = 2*x**2 + x + 1. Let y be m(-1). Let p(q) = -q**2 + 16*q - 9*q + y*q**2 + 2. What is the smallest common multiple of 7 and p(-7)?
14
Suppose 0 = 4*w + 5*s + 4, 0 = 4*s + 25 - 9. What is the smallest common multiple of 2 and w?
4
Suppose -5*a - 90 = -0*a. Let o be 1/((-4)/a)*8. Calculate the common denominator of (-337)/(-99) + (-8)/o and 85/2.
22
Suppose -5*h = -2*x - 57, -5*x = 2*h + h - 59. Suppose a = 5*y + 2, 3*a + h = -3*y - y. Calculate the common denominator of -38/5 and (89/3)/((-2)/a).
10
Suppose -112 = 47*t - 54*t. Calculate the lowest common multiple of 126 and t.
1008
Calculate the common denominator of -83/16 and (-18)/(-28)*72/16.
112
Suppose 5*n = 3*c - 72, -13 = -5*n + 2. Calculate the least common multiple of c and 5.
145
Let o = 1967/2 - 1022. What is the common denominator of 49/16 and o?
16
Let g = -20825/4 + 5274. Let a = g - 381/4. Let w = 26/349 - 25091/4188. Find the common denominator of a and w.
12
Let k = -39 + 61. Suppose 4*d = d + 60. What is the least common multiple of k and d?
220
Suppose 5*b - 2 = v, 4*b + 2*v = 5*b - 4. Suppose 4*w - r = 0, -3*w + b*r + 3*r + 9 = 0. Calculate the lowest common multiple of w - (-1*17 - 2) and 20.
180
Let r = 36 - 35. Calculate the least common multiple of 2 and r.
2
Let n = -14476/9 + 1605. Calculate the common denominator of -46/21 and n.
63
Let b = -11/8 + -49/8. Let a = -13061/12 - -4441/4. Calculate the common denominator of a and b.
6
What is the common denominator of (0 - 129/(-33)) + -2 and 133/(-10) + 4/2?
110
Suppose -2*l + 3*v = 2*v - 23, 0 = -3*v + 3. What is the lowest common multiple of (12/16)/(1/l) and 11?
99
Let z = 1/1074 + -17990/537. Suppose -2*j = -5*j - 3. Find the common denominator of -2 - 4/(-5) - j and z.
10
Suppose 4*y = -4*b - 336, -4*y - 248 = -4*b + 128. Let v = -13/28 + 1231/28. Calculate the common denominator of v and y*(-2 - 26/(-12)).
6
Suppose 2*v = 2 + 4. Suppose -4*r = v*f - 11, -3*f + 0*r = -r - 1. What is the smallest common multiple of 1 and f?
1
Let m(f) = -4*f**3 - 2*f**2 + 2*f + 2. What is the smallest common multiple of m(-2) and 16?
176
Let t = 820/11 + -79. Let f(s) = -10*s. Let x be f(3). What is the common denominator of x/(-9)*9/(-7) and t?
77
Let f = 53611/7146 + -45/397. Find the common denominator of f and -5*2/4 - -2.
18
Find the common denominator of 59/6 and (-6 - -7) + (-26)/17.
102
Suppose 5*f + 12 = 9*f. Calculate the smallest common multiple of 14 and 14 + (f - (-1 + 2)).
112
Let x(w) be the second derivative of w**4/12 + 4*w**3/3 - 2*w**2 - 2*w. What is the least common multiple of 1 and x(-9)?
5
Let x = -47841/20 - -2390. Calculate the common denominator of x and -37/10.
20
Let v(x) be the second derivative of -x**3/6 + 4*x**2 + x. Suppose 2*k - 4*k + 12 = 0. What is the smallest common multiple of v(k) and 7?
14
Suppose -45 = 5*g - 0*g. What is the smallest common multiple of -3*1*3/g and 11?
11
Suppose -33 + 13 = -4*l. Suppose 0 = -2*j - 70 - 2. What is the common denominator of (-263)/j - l/20 and 99/10?
90
Let g = -99/31 - -1828/155. Find the common denominator of (-4)/(-6)*(-570)/8 and g.
10
Let a(o) = o**3 - o**2 - o + 220. Let u be a(0). Find the common denominator of (-4)/(-10) - (-77)/u and 10/36*(-38)/(-10).
36
Suppose 36 = 7*h - 3*h. What is the lowest common multiple of h and 9?
9
Let q(s) = -s - 2. Let m be q(-4). Let y = -2582 + 20729/8. Calculate the common denominator of m + 3/6*-43 and y.
8
Let o = -708 + 1375. Let c = -220 + o. Find the common denominator of -37/14 and (3/((-18)/c))/9.
126
Let n = 0 + -1. Let s = -237 + 257. What is the lowest common multiple of s and ((-10)/1)/n - 0?
20
Suppose -3*k - 50 = 2*k. Let l(u) = -u - 6. Calculate the lowest common multiple of l(k) and 11.
44
Suppose -o - 3*q + 13 + 13 = 0, -3*o + 5*q = -22. Suppose -24 = -2*x + 4*k, -k - 8 = 3*k. Calculate the least common multiple of o and x.
56
Suppose 0*s = 5*s + 40. Let v = s + 13. Suppose 0 = -5*k - 5*q + v, 4*k - q - 14 = -3*q. Calculate the smallest common multiple of 22 and k.
66
Suppose 2*s = -2*m + 6*m - 106, 2*m = 4*s + 56. Suppose -20 = -2*v + 5*b, v = -3*v + 3*b + m. What is the least common multiple of v and 6/(-1 - 14/(-8))?
40
Let p = 6/299221 - 28106726253/2992210. Let k = p + 9402. Find the common denominator of k and -7/9.
90
Let w(o) = -6*o - 1. Let t = -128 - -134. Calculate the least common multiple of w(-1) and t.
30
Suppose 14 + 9 = 2*i - 5*v, 3*v - 33 = -4*i. Suppose h = 8 - 3, 2*m + h = i. Find the common denominator of 2/m + (-45)/(-21) and 52/3.
21
Let w = -1557/4 + 383. Find the common denominator of w and ((-2)/(-3))/(32/(-438)).
8
Find the common denominator of -13/16 and (-3)/(204/(-86)) - -1.
272
Calculate the common denominator of (-10)/48*90/(-4) and (-1450)/224 + (-30)/(-105).
16
Let p(o) = o**3 + 4*o**2 - 6*o - 1. Let v be p(-5). Suppose -12 = -v*h + h. What is the least common multiple of 8 and h?
8
Let p(r) = -r**2 - 12*r - 7. Let w be p(-6). Suppose a - w = 2*g, 4*a + 0*a - 2*g - 122 = 0. Let h = a - 9. What is the smallest common multiple of 12 and h?
132
Let o = -36/107 - 3921/749. Calculate the common denominator of -4 - 6/(-33)*13 and o.
77
Let a = 12 + -2. Let z = -178 - -198. What is the smallest common multiple of z and a?
20
Let s(p) = -21 + 2*p**3 - 2*p - 11*p**2 + 2*p**3 + 7 - 5*p**3. Let g be s(-11). Suppose -3*z = -g - 1. Calculate the smallest common multiple of 9 and z.
9
What is the smallest common multiple of (-2)/(-4) - (-5)/10 and 10?
10
Let m = 7192 - 172645/24. Calculate the common denominator of m and 101/24.
24
Let y(c) = -11*c + 1. What is the lowest common multiple of y(-1) and 6?
12
Let j(b) = 5*b - 2 + 5*b + b**2 - 2*b + 3*b. Let a(o) = o**3 - 4*o**2 - 3. Let m be a(3). What is the least common multiple of 7 and j(m)?
70
Let i = 7432/407 - -78058144/7733. Let x = -10110 + i. Calculate the common denominator of x and 47/3.
57
Let x = -19337/3718 + 57/169. What is the common denominator of (-52)/8 - 1/(-5) and x?
110
Let d(w) = 20*w**3 + w**2 - 1. Let g be