10
Suppose 18 = -2*w - 2. What is the smallest common multiple of w/15 + 14/3 and 20?
20
Suppose 5*a + 8 = a. Calculate the common denominator of -13/18 and -1*(-38)/(-28) + a.
126
Suppose 0 = 5*u - 7*u + 4. Calculate the lowest common multiple of 378/48 + u/16 and 22.
88
Let b = -11 - -21. Suppose 4*k - b = -k. Let j = 14 + -13. What is the least common multiple of k and j?
2
Suppose 3*n - 54 = -0*n. Let x = n - 14. What is the lowest common multiple of x and 16?
16
Let q = 18 - 8. Suppose 4*m - 3*p = -p + 278, -2*m = -5*p - 151. Let z = m + -46. What is the lowest common multiple of q and z?
110
Let p be 3 - (-1)/((-58)/119). Let t = 1003/1914 - p. Let o = -2447/66 + t. Find the common denominator of o and 11/6.
6
Let r = 11756/2871 - 1/261. Suppose 2*f - 3*f + 186 = 0. Calculate the common denominator of r and -4 + 2 + f/4.
22
Let s = 4/420781 - -12131957756/3787029. Let y = s + -3207. Find the common denominator of -13/7 and y.
63
Let o = -14 - 70. Calculate the least common multiple of 2 and o/(-16) - (-1)/(-4).
10
Find the common denominator of (174/460 - 1) + (-9)/(-15) and -61/4.
92
Let q(u) = -8*u - 28. Suppose 4*z + 3*m = 37 - 100, 9 = -2*z + 3*m. What is the lowest common multiple of q(z) and 18?
612
Let z be 62 + 0 - (-1 - 0). Let m be z/12 - (-2)/(-8). Suppose -4*b + l + 3*l = -68, 0 = b - 5*l - m. Calculate the least common multiple of b and 12.
60
Suppose -o + 2*o = -3*q + 28, -2*o + 100 = -5*q. Let d = 9/245 - 28283/2940. Calculate the common denominator of d and 810/(-4)*4/o.
12
Suppose 5*s + 3*n + 10 = 0, 4*n + 9 = 4*s + 3*n. What is the smallest common multiple of s and 47?
47
Let h = 22962/7 + -3275. Suppose 2*p + 2*s + 58 = 0, -5*s - 19 = p + 30. What is the common denominator of h and (2/1)/(p/134)?
42
What is the lowest common multiple of 20 and (-56)/12*(-12)/14?
20
Let t be (-9)/6*12/(-48753). Let j = t - -232911/54170. What is the common denominator of j and 29/16?
80
Suppose 6*o = -4*o + 200. Calculate the least common multiple of o and 24.
120
Suppose -4*y - 22 = 2. Calculate the smallest common multiple of 10 and (-1)/((4/y)/2).
30
Suppose -4*v - l + 101 = 14, 0 = 5*l + 5. Let w(b) = -6 + 6 + 4*b. What is the lowest common multiple of w(1) and v?
44
Let b(l) be the first derivative of 7*l**2/2 - l + 6. Let n(f) = -f - 1. Let u be n(-4). Calculate the smallest common multiple of b(u) and 16.
80
Suppose 924 = 4*v - 3468. Let c = 19787/18 - v. Calculate the common denominator of c and (4 - 2) + (-109)/6.
18
Suppose -u + 4*u = 27. Calculate the common denominator of (u/(-8))/(3/124) and 53/6.
6
Suppose 0 = 6*r - 3*r + 4*h - 46, 0 = h - 1. Suppose -f = -0*f - 5, -o + r = -3*f. Find the common denominator of 25/6 and o.
6
Let p = -1021 - -1677. What is the least common multiple of 4 and p/36 - (-2)/(-9)?
36
Suppose 2*q - 6*q + 28 = 0. Let s(z) = z**3 + 3*z**2 - z - 1. Let c be s(-3). Find the common denominator of (-1364)/168 + c/q and 49/10.
30
Let i be (276/9)/(6/333). Let w = -11954/7 + i. Let y = 5963/4 - 1479. What is the common denominator of w and y?
28
Let g be (26/(-88))/((-5)/600). Let i = 6273/176 - g. Let q = -4561 + 63811/14. Calculate the common denominator of i and q.
112
Let r = -175/18 + 19/2. What is the common denominator of r and 207/44 + (-1)/4?
99
Let k(h) = h**3 - 10*h**2 + 11*h - 13. Suppose 3*g - n + 5 - 22 = 0, -2*n = -3*g + 22. What is the least common multiple of g and k(9)?
20
Let z(d) = d**2 + 3*d - 5. Let b(q) = q**3 - 3*q**2 - 2*q - 5. Let j be b(4). Suppose j*k = 24 - 9. What is the smallest common multiple of z(-5) and k?
5
Let y be (-1)/(-5) + 138901/(-694155). Let s = 1606457/158664 - y. What is the common denominator of s and 102/(-8) + -1 + 2?
8
Suppose 17 = n - 2*b + 6, -19 = -5*n + b. Suppose 0*f - 3*f = -27. What is the least common multiple of f and n?
9
Let h(d) = -d**3 + 0*d + 7*d**2 - d**2 + 2*d - 2*d**2. Calculate the smallest common multiple of h(4) and 3 - 2*(0 - -1).
8
Let g = 1045707301/226 + -4627058. Let z = g + 5/113. Calculate the common denominator of 33 and z.
2
Suppose 0 = 6*p - 11*p + 2*q + 20, 3*p = -q + 1. Suppose -b + 60 = p*b. Let m = 2 - -4. Calculate the smallest common multiple of b and m.
60
Let w be (-3 - 7028/40)*-2. Let j = w + -737/2. Calculate the common denominator of j and (-2)/8 + 162/40.
10
Let x(y) = -y - 6. Let l(f) = f - 1. Let m(n) = 2*l(n) + x(n). Let s be m(6). Find the common denominator of 3/2 and ((-21)/4)/1 - s.
4
Let m = -217/2 - -531/4. Let k = -2557/6 + 425. What is the common denominator of k and m?
12
Let w(v) = v + 5. What is the lowest common multiple of w(4) and 42?
126
Calculate the common denominator of -119/18 and (1 - (-19)/(-16)) + -21 + 22.
144
Let v = -77 + 44. What is the common denominator of 3 - 4 - v/(-60) and -1 + (-21)/16 - 2?
80
Let m = 35 + -20. Suppose -4*i - m = i, 51 = 5*s - 2*i. Suppose 2*c - d = 4, -5*c + 17 = 2*d + 7. Calculate the smallest common multiple of s and c.
18
Suppose g + 3 = -0*g. Calculate the common denominator of (-985)/(-150) + 2/g and -17/8.
40
Suppose 2*k - 46 = 114. Let j be 1/((k/82)/4). Let y = j - -22/5. Calculate the common denominator of y and -15.
2
Suppose 20 = 5*y + 5. What is the lowest common multiple of y and 5?
15
Let b(l) = l**3 + 4*l**2 - 6*l. What is the common denominator of (2/((-4)/(-41)))/(-4) and b(-5)?
8
Let d(v) = 6*v**2 + 3*v**3 + 1 - 3 - 4*v**3 - v. Let g be d(6). Calculate the least common multiple of 1/4 - 70/g and 7.
63
Suppose 0 = 4*l + 22 + 10. Let q = 3 - l. Suppose -4*m + 7*m - 9 = 0. What is the smallest common multiple of m and q?
33
What is the lowest common multiple of (11/(-3))/(3/(-9)) and (1 - 0)/((-3)/(-15))?
55
Let v(o) = o**3 - 18*o**2 + 18*o - 12. Calculate the lowest common multiple of v(17) and 9.
45
Let r be 572/12 + 1/3. Let n = 40387/18 + -2249. What is the common denominator of (-59)/r*6/2 and n?
144
Suppose w - 20 = -4*t, -50 = -4*w - t - 0*t. Calculate the lowest common multiple of w and (-2 - (-16)/10)*-25.
60
Let f = 1905 - 17120/9. Let u(l) = l**2 + 17*l - 5. Suppose -r = -3*k + 2*r - 33, -2*k - 25 = -r. What is the common denominator of f and u(k)?
9
Let k be 970/35 - 4/(-14). Let l = k - 17. Calculate the common denominator of 354/(-40) + -8 + l and 41/6.
60
Suppose -11 + 77 = 6*z. Let q = z + -2. Calculate the smallest common multiple of q and 3.
9
Find the common denominator of (-1)/(-1) - (-332)/(-48) and 19/20.
60
Suppose 4*b = 4*z - 108, -3*z = -3*b + 5*b - 56. Suppose -19 + 29 = n. Calculate the least common multiple of z and n.
110
Suppose 0 = 25*n - 32*n + 70. What is the lowest common multiple of 14 and n?
70
Suppose 0*j - 5*p - 18 = -3*j, -j + 10 = -3*p. What is the smallest common multiple of j and ((-64)/(-20))/(-4)*-5?
4
Suppose -2*d = -0*q - 3*q + 15, -25 = -4*q + d. Suppose 14*u - 15*u + 7 = 0. Suppose 40 = -u*f + 11*f. What is the lowest common multiple of q and f?
70
Let y(u) = -u**2 - 8*u + 9. Calculate the least common multiple of y(-7) and 18.
144
Let r(c) = 5*c**2 + 1. Calculate the lowest common multiple of 18 and r(1).
18
Let i = -400787/421 + 952. Let m = i + -15637/5052. Calculate the common denominator of m and 97/4.
12
Let s(o) = -54*o**3 + 3*o**2 - 4*o - 5. Let b be s(4). Let p = 2253628 - 18001637/8. Let d = p + b. What is the common denominator of 7/9 and d?
72
Let p = -69/7 - -1177/140. What is the common denominator of p and 83/22?
220
Let d(k) = k**2 - 3*k + 5. Suppose -1 = -2*q - 5*t, 29 = -5*q - 2*t - 0*t. Let s = -4 - q. What is the least common multiple of d(4) and s?
9
Let d be 1/(-2) + (-6)/4. Let f = 1450/3 - 462. Calculate the common denominator of f and d/7 + 698/(-56).
12
Calculate the common denominator of 61/4 and (-1 - (-34)/8)/((-18)/24).
12
Let n(u) = u**3 + 15*u**2 + 22*u - 22. What is the least common multiple of 3 and n(-13)?
30
Let j(x) = 9*x - 1. Suppose -3*a + 7 = 1. Calculate the smallest common multiple of a and j(1).
8
What is the smallest common multiple of 15/(-6)*(-330)/25 and 10?
330
Let c = -175/38 - -4361/456. What is the common denominator of 31/24 and c?
24
Find the common denominator of -95/26 and 12/32 - (-537)/(-216).
234
Suppose 4*q = 5*h + 150, 0*h + 5*q = 3*h + 90. Find the common denominator of 9/14 and 81*(-2 - h/16).
56
Suppose -2*x = -0*x + 18. What is the c