2 + 5 - -1. Find the common denominator of 9/10 and (-88)/a*(1 + 0).
10
Suppose 4 = -r + 8. What is the least common multiple of r and 1?
4
Suppose 3*g = g + 4. Let p(d) = d**2 - d + 1. Let h be p(g). Suppose 30 = h*w + 2*w. What is the smallest common multiple of w and 6?
6
Find the common denominator of -1/28 and (-11)/(-5)*(1 + -4).
140
Let l(p) = p**2 + 5*p + 2. Let z be l(-4). Calculate the least common multiple of (-4)/(-3 - z) - 2 and 7.
14
Calculate the common denominator of (-58)/18*(-5 + 2) and (-3)/9 - 10/18.
9
Let i = -36 - -41. Calculate the smallest common multiple of 6 and i.
30
Let k(x) = 2*x - 3. Calculate the least common multiple of k(12) and 18.
126
Suppose 28 = j + d, 3*j - 4*d = 55 + 1. What is the least common multiple of 18 and j?
72
Suppose 0 = 2*u - 0 - 2. What is the common denominator of (3/54)/(u/(-58)) and 85/8?
72
Suppose -3*k + 49 = -32. Suppose -4*v - k = -v. Let i = -7 - v. Calculate the lowest common multiple of i and 4.
4
Suppose 27*n - 29*n = -18. Calculate the least common multiple of n and 23.
207
Let s be (-2994)/(-14)*(-2)/(-20). Let p = -231/10 + s. Let b = 3328 - 26673/8. What is the common denominator of b and p?
56
Let u(i) = 2*i + 6. Let d be u(-7). Calculate the lowest common multiple of 8 and (-1 - 0)*d/1.
8
Let g = -11 - -19. Suppose -g = -y - 2. What is the least common multiple of y and 11?
66
Suppose 5*j + 4*p = 41 + 67, 3*j - 3*p - 81 = 0. Suppose 4*i = i + j. Calculate the least common multiple of 8 and i.
8
Let a = 310/3 + -2261/24. What is the common denominator of a and -16/11?
88
Find the common denominator of (2/32)/(1/83) and 2725/20*(-1)/25.
80
Let s = 156839/43911 + -2/6273. Find the common denominator of s and 11/9.
63
Let x = -391/7 - -57. Let u = -14216/55 + 1281/5. Calculate the common denominator of u and x.
77
Suppose -k - 4*k = 50. What is the common denominator of -61/4 and (-22)/(-10)*k/20?
20
Let l(s) = -2 + 1 - 6*s + 5*s. Suppose -16 + 2 = -2*b. What is the least common multiple of b and l(-6)?
35
Suppose 10*h + 20 = 15*h. Calculate the least common multiple of 4 and h.
4
Let l(n) = -2*n + 4. Let v be l(3). Let t be 1 + -1 - 0/v. Suppose g = 5*u - 2*u + 5, t = -2*g + 5*u + 10. Calculate the lowest common multiple of g and 4.
20
Let f = -493 + 196. Calculate the common denominator of 15/13 and (-2)/(-9) - (-309)/f.
143
Suppose 2*y = h, 0*y = -3*y + h + 2. Suppose 4*b - 12 = -2*q - 2, 0 = 4*b - 2*q - 30. What is the smallest common multiple of y and b?
10
What is the common denominator of 51/10 and (4/(-2))/10*162/8?
20
Let z(v) = 7*v**2 + 5. What is the lowest common multiple of 10 and z(3)?
340
Let j be 4/6 - (-146)/(-3). Calculate the common denominator of (-3 + (-1)/(-8))/(-1) and (1/(-5))/((-1)/j).
40
Let g(j) = -13*j**3 - j**2 + j + 1. Suppose 4*k + 3*q = 14, 3*k - q - 4 = -0*k. What is the least common multiple of k and g(-1)?
12
Let g(a) = a**3 + 16*a**2 - 10*a + 4. Let c be g(-10). Let u be 14131/(-20) - 2/8. Let f = c + u. Calculate the common denominator of -16/11 and f.
55
Let l = 2666/7 + -380. Calculate the common denominator of l and (-30 - 2/(-2))/(-5 + 2).
21
Suppose -2*t = 2*t + 48. What is the lowest common multiple of (30 - 9)*t/(-14) and 8?
72
Suppose 6*i = 2*i + 24. Calculate the smallest common multiple of 22 and (4*2)/(3/i).
176
Suppose -5*x + 30 - 5 = 0. Suppose -2*z = -x - 1. Calculate the smallest common multiple of (9/(-6))/((-6)/8) and z.
6
Let h = 76373111/30 - 2545168. Let t = h + -1784/3. Calculate the common denominator of -21 and t.
10
Let g = -109999/18 - -6108. Find the common denominator of 4/3 and g.
18
Let j be 4 - (-2 + 2 + 2). Calculate the common denominator of (-356)/32 - 1/j and (4/3)/(70/(-165)).
56
Calculate the least common multiple of 55/2*((-16)/20)/(-1) and 22.
22
Suppose -2*h = -h + 1. Calculate the smallest common multiple of 8 and (2/(-4))/(h/6).
24
What is the common denominator of 0 - ((-99)/26 - -3) and 101/12?
156
Calculate the common denominator of -15 and ((-6)/(-40))/(30/(-820)).
10
Suppose 3*s + 48 = 3*t, 3*t - 5*s = -3*s + 47. Calculate the lowest common multiple of 55 and t.
165
Find the common denominator of 2/10 - (-4 - (-106)/5) and 113/6.
6
Suppose -g - 3*h + 61 = 0, 4*h = 5*h - 5. Let r = -12 - 16. Let m = r + g. Calculate the least common multiple of m and 16.
144
Let p = -13 + 53. Find the common denominator of 52/9 and p.
9
What is the least common multiple of 16 and (81/15)/((-6)/(-20))?
144
Suppose -5*k + 46 = 6. Suppose h = -3*h + k. Calculate the least common multiple of h and 20.
20
Let g(c) = -4 + 0*c + 3 + 6*c**2 - 5*c. Let v(t) = -7*t**2 + 4*t + 1. Let h(r) = -2*g(r) - 3*v(r). Calculate the lowest common multiple of h(-1) and 18.
90
Calculate the common denominator of ((-3)/(-14))/((-28)/(-539)) and ((5 + 2)*5)/(7 + -5).
8
Let p = 12 + -6. Let w(d) = d**2 - d + 14. What is the smallest common multiple of w(0) and p?
42
Let o = -4433/6 + 758. Calculate the common denominator of o and -63/2.
6
Suppose 2*p - 8 = -0*p. Suppose p*i + 23 = 3*i. Let c = -9 - i. What is the smallest common multiple of c and 12?
84
Suppose 5*a + s = 115, -5*a = -s + 4*s - 105. What is the lowest common multiple of a and 21?
168
Suppose 5*k - 2 + 27 = 0. Let d = 162 - 161. What is the lowest common multiple of d and 4/2 - 0 - k?
7
Let r = 124 + -78. Calculate the least common multiple of r and 2.
46
Let f be (8/6)/(3/(-45)). Calculate the common denominator of (-89)/14 - (-4)/14 and (-111)/f - (-4)/(-10).
140
Let o(q) = 7*q + 1. Let z(s) = -6*s. Let a(r) = -5*o(r) - 6*z(r). Let i be ((-2)/(-3))/(8/72). What is the smallest common multiple of a(i) and 4?
4
Let j = -4517/6226 - 1/566. Let r = 880 + -7115/8. What is the common denominator of j and r?
88
Suppose 6*a = 2*a + 3*f + 7, 2*f = 6. Calculate the lowest common multiple of a and 40.
40
Suppose -4*b + 5*c + 26 = 0, 0 = -5*b - 2*c + 12 + 4. Let m = b - 2. What is the smallest common multiple of 5 and m?
10
Let p be (-10794)/(-10)*(5 + 0). Let x be 4/(48/64757) - -4. Let u = x - p. Calculate the common denominator of u and 59/20.
60
Let v be (-2 - -1)/(1/2). What is the common denominator of -77/8 and (-265)/v*3/(-30)?
8
Let c = 36 - 26. Let p = -3 - -4. What is the lowest common multiple of c and p?
10
What is the common denominator of ((-14)/(-9) - -1)*(-15)/(-45) and -7/8?
216
Suppose -5*c + 19 = 4*x - 74, c + 4*x - 25 = 0. What is the smallest common multiple of c and 4/(-14) + (-174)/(-21)?
136
Let m(k) = 10*k**2 + 1. Suppose -4*j - 4 = -0*j - 4*u, 0 = j + 2*u - 5. Suppose -2*v = 5 - 19. Calculate the least common multiple of m(j) and v.
77
Let y(q) = -2*q + 1. Let p be y(4). Calculate the common denominator of (p/12)/(16/(-156)) and -99/20.
80
Let x(v) = -5*v. Let s be x(-1). Suppose -f = 5*z - 19, s*z - 22 = -4*f + 9. Suppose 0 = -b + f + 12. What is the least common multiple of 4 and b?
16
Let w = 235/18 + 166/9. Let k = -18 + 6. What is the common denominator of w and (k/24)/((-11)/74)?
22
Suppose -4*h + 4*x + 8 = 0, -4*h - 5*x = -3*x - 14. Suppose -h*m + 0 + 12 = 0. Calculate the least common multiple of 8 and m/(-14) + (-780)/(-35).
88
Suppose -2*k + 21 = -1. Suppose 2*c = 3*j - 25, -j - 2*c + 11 = -0*j. Calculate the least common multiple of j and k.
99
Let i(s) = -s**3 - 2*s**2 - 4*s - 1. Let l be i(-3). Let b = l - 6. Suppose -9 = -u + 7. Calculate the smallest common multiple of u and b.
112
Let y(w) be the first derivative of -21*w**4/4 + w - 5. Calculate the smallest common multiple of 38 and y(-1).
418
Let c be -3 + (1 + 21)/(-2). What is the common denominator of (-246)/20 + c/(-35) and -69/16?
80
Suppose 0 = -2*t + i - 2, -t - 3*i + 2*i = -5. What is the common denominator of 3 + 63/8 - 1 and (t - -112)*(-3)/(-42)?
56
Suppose 38 = a - 4*i, -i + 33 + 34 = 2*a. Let c = a + -24. What is the least common multiple of (-12 - 1)*-1 - 2 and c?
110
Let y(h) = -h**3 - 5*h**2 - 10 - 14*h - 3 - 8*h**2. What is the least common multiple of 11 and y(-12)?
11
Let k(i) = i**2 - 3*i - 4. Let q be k(6). Let z = 23 - q. Suppose -3*a + 5 + 1 = 0. What is the smallest common multiple of a and z?
18
Suppose 118 + 2 = 2*d. Calculate the least common multiple of 15 and d.
60
Let g = -37813/30 - -7109/6. Let r = g + 79. Find the common denominator of (1/4)/(2/62) and r.
2