 - -30. Let f(p) = -p**2 + 3*p + 6. Let l be f(o). Let x = 68 + l. What is the smallest common multiple of x and 22?
220
Find the common denominator of 37/20 and (-15)/(-10)*(-75)/6.
20
Suppose 0 = -w + 4*j + 12 - 5, 4*j = -16. Let s = -1047 + 5198/5. Calculate the common denominator of s and 44/w - 0/3.
45
Let v = 3 + 1. What is the common denominator of -49/4 and (27/(-8))/(7/v)?
28
Let p be (3 - 4)*(1 + -47). Suppose 5*d - 9 - p = 0. Calculate the least common multiple of d and (-153)/(-63) + 6/(-14).
22
Calculate the smallest common multiple of 70 and (32/12)/(3/18).
560
Let a = -1466/11 - -165900/1243. Let j be -15342*3/(-10848) - 0. Let x = a + j. Find the common denominator of x and 5/14.
112
Let z = -6774 - -40525/6. Find the common denominator of 55/6 and z.
6
Suppose a = 2*a - 4. What is the smallest common multiple of 11 and a?
44
Let i = -611562 + 9794573/16. Let k = i - 599. Let g = 493/112 + k. Calculate the common denominator of g and -51/16.
112
Suppose 3*a + 2*a - 40 = 0. Suppose 4*w + 28 = a*w. Calculate the lowest common multiple of w and 5.
35
Calculate the common denominator of (-291)/48*1/(4 - 6) and -59/8.
32
Let p = -2/6869 + -418977/109904. Calculate the common denominator of 9/4 and p.
16
Let p = 2963/33 - 786/11. Find the common denominator of p and -4/15.
15
Suppose 0 = 7*f - 4*f. Suppose f = -5*g + 8 - 3. What is the least common multiple of 10 and g?
10
Let y = 3 - 0. Calculate the smallest common multiple of 9 and y.
9
Let h(r) = 2*r**2. Let o be h(1). Suppose v + 0*v + o = 0. What is the smallest common multiple of 1/((-2)/(-10)) + v and 9?
9
Suppose x - 4*d = -2 - 3, -2*x = -4*d + 2. Suppose 4 = -x*b + 1. What is the lowest common multiple of 14 and 3 - (1 - 1 - b)?
14
Let d(g) = -g**3 + 20. Let k = 1 - 1. Calculate the smallest common multiple of d(k) and 12.
60
Suppose -5*m = t - 805, 6*m - 5*t = 4*m + 349. What is the smallest common multiple of m and 20?
1620
What is the common denominator of -53/22 and (-3714)/924 - (-4)/(-7)?
22
Let o(y) = -8*y**2 + y + 1. Let m be o(-1). Let j = -6 - m. Suppose -4*k + 53 = r, 2*k + 2*r - 16 = -j*r. Calculate the least common multiple of k and 20.
140
Suppose 0 = -5*i + 4*z + 19 - 47, 4*i = 3*z - 23. What is the common denominator of 3/14 and ((-33)/(-30))/(i/(-10))?
56
Suppose 2*q - 1 = 39. What is the least common multiple of (-123)/(-6) - (-1)/(-2) and q?
20
Let j be -2 - 10 - (3 - 6). Find the common denominator of j/(-54)*(-213)/7 and 1/3 - 37/66.
154
Let g(l) = 74*l + 12. Let u be g(-8). Calculate the common denominator of -1 - u/(-48)*-2 and -43/2.
6
Suppose 72 - 24 = 3*o. What is the lowest common multiple of o and 8?
16
Let l(w) = -1. Let d(a) = -a + 4. Let j(k) = -d(k) - 2*l(k). What is the least common multiple of j(9) and 2?
14
Let a = -2 + 2. Suppose a*c + 8 = 2*c. What is the smallest common multiple of c and 0/(-2) + 2 - -1?
12
Let j = -3379/141 + 14/47. What is the common denominator of j and -3/11?
33
Suppose 2*u = 4, 5*k + 0*u - 78 = -4*u. What is the lowest common multiple of k and 11?
154
Let f = -2 + 6. Let k be (5/(-4))/((-4)/(-48)). Let l = -5 - k. What is the lowest common multiple of l and f?
20
Let b(u) = u + 7. What is the lowest common multiple of b(11) and 16?
144
Let u = 5 + -3. Suppose -u*v = 2*c + 30, -v - 33 = 4*c - 6*v. Let d = c - -26. Calculate the smallest common multiple of d and 2.
14
Suppose -2*h - 3*n = -44, 2*h + 2*n = 3*n + 28. Calculate the smallest common multiple of 16 and h.
16
Let l be 10/5 - (-15 + -1). Let t = l + -8. Calculate the least common multiple of 18 and t.
90
Let c be (3620/(-30))/(682/9). Let f = 1/682 + c. Find the common denominator of 127/18 and f.
198
Let c(w) = w**2 - 6*w + 7. Let i be c(5). Let p = 10 - i. Calculate the smallest common multiple of p and 24.
24
Let v(l) = -2*l**3 - 3*l**2. Let u be v(-2). Suppose 5*k + 4*o = -0*o + 8, u*k + 3*o - 7 = 0. What is the lowest common multiple of 9 and (-16)/(-6)*6/k?
36
Let h(b) = -b. Let t be h(0). Let k be 1*1709 + 2 + t. Let c = k + -15431/9. Calculate the common denominator of 49/10 and c.
90
Suppose -r - 3*k + 15 = 0, -3*r = -3*k - 20 - 13. Let s = r - 1. Calculate the smallest common multiple of s and 8.
88
Let r(h) = -h**2 - 9*h + 3. Let n be r(-7). Suppose 2*u + n - 5 = 3*p, 0 = 4*u. Calculate the least common multiple of p and 16.
16
Let q be (-12)/(-9)*(-1053)/34. Let c = q - -8147/187. Let z(a) = a**3 - 2*a**2 + a - 1. Find the common denominator of c and z(2).
11
Calculate the common denominator of 460/96 + -1 + 1 and -57/8.
24
Let y = 12 - 6. Suppose 3*d = 4*d + 6. Find the common denominator of 41/12 and (y/4)/(d/(-118)).
12
Let t(v) = 11*v - 9. Let q be t(-7). Find the common denominator of 2/(-11) - (-12)/(-11) and q/20 + (-1)/(-2).
55
Let w = 46 + -24. Calculate the smallest common multiple of w and 20.
220
Suppose -2*d = t - 2, -5*d = 3*t - t. Suppose 8 + 1 = 3*o. Suppose -l = -o*k - 1 - 4, 5*k + 5 = 0. What is the lowest common multiple of t and l?
10
Suppose 3*l + y - 14 = 0, -5*l - y = -5*y - 46. Calculate the least common multiple of 8 and l.
24
Let w be (-12)/(-18) - (-130)/(-6). Calculate the common denominator of 6/w - (-646)/56 and 52/11.
44
Find the common denominator of 7/6 and 1/3*558/(-12).
6
Let t = -49 + 87. Suppose 0 = 5*y + 6*v - 4*v - t, -2*y + 5*v = 8. What is the smallest common multiple of 4 and y?
12
Let t = 5 + -8. What is the lowest common multiple of 4 and t/6 + (-57)/(-6)?
36
Let v = -91 - -96. What is the smallest common multiple of v and 11?
55
Let a(y) = -y**2 + 1. Let w(j) = 3*j**2 + 8*j - 7. Let b(p) = 4*a(p) + w(p). What is the least common multiple of b(7) and 22?
44
Let p = -18543404732/5601861 + -4/622429. Let b = -3317 - p. What is the common denominator of 35/8 and b?
72
Let h(p) = -p + 9. Calculate the lowest common multiple of h(6) and 2/(-7) - 9/(-7).
3
Suppose -5*p - s + 10 = -4*s, 20 = 5*p - s. Let n = -1 + p. What is the lowest common multiple of 13 and n?
52
Suppose 2*n + 2*s - 34 = 0, 0*n + 5*s + 59 = 4*n. Calculate the smallest common multiple of 8 and n.
16
Let v(i) = i**3 + i**2 - 2*i - 1. Let p be 2/((-1)/((-3)/2)). Let b be v(p). Let s = b - 9. What is the least common multiple of s and 12?
60
Let d be 4*(6/(-4))/(-3). Suppose 31 = d*f - 19. What is the common denominator of (114/8)/(45/f) and -65/2?
12
Suppose 0 = p - 3*p + 8. Let t(i) = -i**2 - 6*i + 3. Let h be t(p). Let s = -25 - h. What is the smallest common multiple of 4 and s?
12
Let z = 2402/131 - 1/393. Find the common denominator of -95/4 and z.
12
Let g = -2778 + 16577/6. What is the common denominator of 46/3 and g?
6
Let p be 5725/(-10) + 1/2. Let l be (-1)/2*(-14204)/p. Let h = l - -162/13. What is the common denominator of h and -31/2?
22
Calculate the common denominator of (-198)/40 + -4 + 4 and 18/(-4) + 3/5.
20
Let i(x) = x**2 - 3*x + 2. Suppose -2*q = -6 - 4. Let m = q + -2. Calculate the least common multiple of 16 and i(m).
16
Suppose -4*d + 3*h = 6*h + 52, -h + 52 = -3*d. What is the common denominator of 43/6 and 4 + -6 + (-73)/d?
48
Suppose -2*b - 10 = -4*b. Suppose a + 6 = 5*k - 3*a, -b*k + 2*a = -8. Calculate the smallest common multiple of k and 1.
2
Let v(k) = -k**2 - k + 2. Let s be v(-5). Suppose -3*g - 2*g = -140. Let a = s + g. Calculate the smallest common multiple of 5 and a.
10
Let h(q) = 2*q**2 + 9*q + 12. Let i be (10/(-6))/(1/3). Let l = i + 8. What is the smallest common multiple of l and h(-4)?
24
Let g be ((-49684)/6)/((-238)/(-9)). Let h = g - -2229/7. Let w = h + -1273/340. Find the common denominator of w and 119/12.
60
Let s(o) = -o - 6. Let c be s(-5). Let a = 1 + c. Suppose a = -q - 3 + 4. Calculate the smallest common multiple of 7 and q.
7
Let c = -10237/1260 - 37/140. What is the common denominator of -2 - (267/60 + (-8)/10) and c?
180
Let m be (-244)/1*9/(-36). Let u = m + -43. What is the least common multiple of u and 4?
36
Let b(f) = f**2 - 10*f + 13. Let x be (1 - 14) + 1 + -3. What is the lowest common multiple of b(9) and 4/(-6)*1*x?
20
Let i = -20533/387 + 484/9. Find the common denominator of i and -29/10.
430
Find the common denominator of 78/(-2) + -1*1 and 1/(-3 + 12/7).
9
Let q(s) = 228*s**2 + s + 1. Let c be q(4). Suppose -2*y - 11005 = -c. Let f = 25691/7 + y. What is the comm