 (0/((-3)/1))/2. What is the common denominator of (29/(-20) + g)*-6 and p?
10
Let k(h) = h**2 + 8*h + 9. Let d be k(-7). Let q(i) = -4*i + 0*i**2 - 1 + d + i**3 - 2*i**2 + 3*i. Calculate the lowest common multiple of q(3) and 11.
77
Let j = 22 + 1. Calculate the smallest common multiple of 7/(-1)*(-96)/84 and j.
184
Find the common denominator of -34/45 and 288/(-425) + ((-220)/(-187))/10.
225
Let s be (10/(-15))/((-1)/(-75)). What is the common denominator of (36/s)/((-24)/270) and 133/6?
30
Let b = 176 - 168. What is the least common multiple of -2*(1/(-1) + -9) and b?
40
Let l be 12/(-21) + 1 + (-47437)/(-168). Let q = l - 1669/6. Find the common denominator of ((-20)/(-42))/(1/(-12)) and q.
56
Suppose -x + 41 = 4*c, -5*x + 12 = -13. What is the least common multiple of 2 and (30/c + -4)*-12?
8
Suppose 3*w = 9, -4*w + 10 = -r + 46. Let p(d) = d**2 + 3*d - 2. Let l be p(-7). Let u = r - l. Calculate the least common multiple of u and 18.
198
Calculate the common denominator of -59/237 and (4/(-20))/((-24)/(-130)).
948
Suppose x = -0 + 3. Suppose x*y - y = 4. Calculate the lowest common multiple of 13 and y.
26
Let l = -257413/354 - 2/177. Let t = l + 729. Find the common denominator of t and 33/4.
12
Let o(t) = 23*t + 1. Let r be o(1). Let v = r + -14. Calculate the lowest common multiple of v and 18/5 - (-28)/70.
20
Let w = 1 - -2. What is the smallest common multiple of 165/11*2/w and 4?
20
What is the common denominator of 109/108 and (-17 + 7 - -3) + (-305)/(-36)?
108
Let x = 453 + -444. Calculate the smallest common multiple of x and 2.
18
Suppose 22*h + 31 = 24*h + j, -34 = -2*h - 4*j. What is the least common multiple of 15 and h?
15
Suppose -633 = -5*w - h, 2*w + 15*h - 237 = 20*h. What is the smallest common multiple of w and 198?
1386
Calculate the common denominator of (2925/(-18))/(-5) - 3 and (-33)/2*(-4)/(-14).
14
Suppose -10*g - 36 = -116. What is the smallest common multiple of (105/6)/(-7)*-8 and g?
40
Suppose -5*y - 20 = 0, -4*x - 2*y = 57 - 13. Let o(t) = -t**2 - 9*t + 28. What is the smallest common multiple of o(x) and 1?
28
Suppose 92 + 44 = 17*q. Suppose -8*y = -5*y - 24. Let g = y + 0. What is the smallest common multiple of g and q?
8
Suppose -2*q - 20 = -3*q. Calculate the common denominator of 1*-1*(-98)/q and 18/(-44) + 4*(-3)/(-12).
110
Let i = -7/703 + -97675/4218. What is the common denominator of ((-351)/(-33))/(-3) + 0 and i?
66
Let r(n) = -n**3 + 2*n**2 - 3*n - 3. Suppose -m - 4*m - 10 = 0. Let i be r(m). Let v = i + -9. What is the least common multiple of 28 and v?
140
Suppose 0 = -56*t + 57*t - 5. Let o be 2*(4 - 12/8). Suppose -4*z + 4*p = -52, 0 = o*z + 4*p - 4 - 70. Calculate the smallest common multiple of z and t.
70
Let y = 393 + -363. Calculate the smallest common multiple of 6 and y.
30
Let s(l) = l**2 - 2*l - 8. Suppose 5*y = -22 + 2. Calculate the least common multiple of s(y) and 12.
48
Let a(n) = -n**2 + 16*n - 17. What is the smallest common multiple of 114 and a(11)?
114
Let z(s) = s**2 - 8*s + 4. Let q be z(2). Calculate the lowest common multiple of 15 and 0 + q/(-12)*18.
60
Let d be 14/21 - 27991/(-12). Let c = d - 2318. What is the common denominator of -1/52 and c?
52
Suppose 4*n = 4*c - 13 - 11, 2*n - 6 = -c. Let s be (-8)/(-44) + 0 + 1206/22. Let u = -37 + s. What is the smallest common multiple of u and c?
18
Find the common denominator of -41/15 and 10/11*(-30)/36.
165
Find the common denominator of 33/2588 and (-2384)/32*3/(-9).
7764
Suppose -193 = -13*o + 67. What is the least common multiple of o and 68?
340
Suppose 210 = i + 2*i. Find the common denominator of ((-190)/(-16))/(-5)*1 and (-2 + 155/i)*-4.
56
Suppose 0 = 5*g + 20 - 0. Let b be (-4)/g + -3 + 5. Calculate the smallest common multiple of 20 and ((-2)/b)/(4/(-48)).
40
Let w be (20 - -3)*2/2. Let n = -39 + w. Let x = 0 - n. Calculate the lowest common multiple of 10 and x.
80
Let p be (-285)/(-35) - (-2)/(-14). Suppose p*a = 3*a + 10. Suppose -3*x - a*x = -50. Calculate the smallest common multiple of x and 48.
240
Suppose 8*v = 10*v - 1892. Let b = v + -7593/8. Find the common denominator of -47/32 and b.
32
Let b(x) = -x**3 + 5*x**2 - 7*x + 9. Calculate the smallest common multiple of b(3) and 12.
12
Calculate the common denominator of -73/33 and 19/171 + 34/78.
1287
Suppose -2*i - 5 = -3*i. Suppose l - 4*o + o = -14, -i*o = -5*l - 30. Calculate the lowest common multiple of 22 and -1*(l/1 - 2).
44
Suppose -11*b + 12*b = 12. Suppose 0 = -4*m + 2*j - b + 28, -26 = -m - 5*j. What is the lowest common multiple of 14 and m?
42
Let c = -3 - -12. Let q be (3 + 1)/(-2) + c. Find the common denominator of (-1)/(-8)*q*-1 and -21/5.
40
What is the least common multiple of 3 and ((-1)/3)/(((-72)/567)/8)?
21
Let k(p) be the first derivative of p**4/4 - 2*p**3 - 9*p**2/2 + 7*p - 4. Let d be k(7). Let i = d - -16. What is the lowest common multiple of i and 1?
9
Let j = -319633720421283865/738584 + 1298296688345/3. Let t = -2/39567 + j. What is the common denominator of -107/12 and t?
168
Let c = -16645/35574 - -65/847. Find the common denominator of 187/30 and c.
1470
Let h(a) = -60*a + 126. What is the lowest common multiple of 111 and h(2)?
222
Suppose 3*w = 5*o + 47, -2*w - 2*o = -77 + 19. What is the least common multiple of w and 24?
24
Suppose -m + 58 = -4*v - v, 157 = 4*m - 5*v. What is the common denominator of -133/12 and (-111)/15*11/m?
60
Suppose 34*u + 48 = 2*w + 38*u, -6*u + 4 = w. Calculate the smallest common multiple of w and 22.
374
Let p be 1 + -1 + (2 - 1). Let q be 5/(-20) - p/(-4). Let n(r) = -r**2 + 2*r + 4. What is the least common multiple of 30 and n(q)?
60
Suppose -3*u - 548 = -7*u. Suppose 2*j = -2*m + 3*j + u, 5*j + 46 = m. Let q = m - 853/12. Find the common denominator of q and -77/6.
12
Suppose 2*o + 49 = -o - 4*q, -2*o - 33 = 3*q. Let a = 26 + o. What is the least common multiple of 3 and a?
33
Suppose 4*m + 0*f = f + 4, f = -m - 4. Suppose -2*w + 3 + 1 = m. What is the lowest common multiple of w and 20?
20
Suppose -4*z + 96 + 72 = 0. Let q(s) = -3*s + 12. What is the smallest common multiple of z and q(-7)?
462
Let n = -1560 + 1600. What is the least common multiple of n and 60?
120
Find the common denominator of -50/51 and 1/2*9797/873.
306
Suppose -58 = -4*p + 5*u, -4*p + 2*u + 37 + 15 = 0. Calculate the smallest common multiple of p and 144.
144
Let p = -414 + 4967/12. Let c be (-1 - 1)/(2/4). What is the common denominator of p and (-87)/(-30)*(-15)/c?
24
Calculate the common denominator of 8/52 - (1758/(-260))/(-3) and 39/(-112) + (-4)/(-14).
80
Let m = -198860378/21 + 9467546. Let x = -16115/7 - m. Let g = x - -6334/21. Calculate the common denominator of 70/3 and g.
21
Let s = -9 + 13. Suppose 2*k = 4*a + 7*k - 47, -2*a = -2*k - 10. What is the least common multiple of a and s?
8
Let r be ((-18)/(-10))/(6/80). Find the common denominator of 93/22 and 775/(-140) - 3/r*2.
154
Suppose 0 = -2*i - 2 + 4. Suppose 21 = 4*u + i. What is the least common multiple of 2 and u?
10
Calculate the common denominator of 18/22*(-912)/576 and 127/84.
924
What is the lowest common multiple of 8 and ((-85)/10)/(((-16)/4)/16)?
136
Let d = 421727/2053107 - 16/17253. Calculate the common denominator of 32/27 and d.
3213
Suppose -b - 3 + 17 = 3*p, 24 = 5*p + 2*b. Suppose p*j + 2 = 50. Calculate the smallest common multiple of j and 3.
12
Let g = -15 - -21. Let b = -1875/4 + 451. Find the common denominator of ((-188)/(-84))/(4/g) and b.
28
Let f be 51/(-178) + 4/14. Let a = 18380/1869 + f. Let g = -52978/9 - -5879. Find the common denominator of a and g.
18
Let c(f) = -7*f - 7*f - 2*f**2 + 19*f + 3*f**2 + 6. What is the smallest common multiple of 25/4 + 2/(-8) and c(-7)?
60
Let m be (19413/3883 - 2) + (-27)/9. Let q be -1 + 2 - 1386267/69894. Let c = q - m. Find the common denominator of c and -31/26.
78
Let w = -12147046 + 145844527/12. Let q = -6660 + w. Find the common denominator of ((-9)/12)/(3/(-122)) and q.
12
Let n be -1 + (5 + 3)/2. Find the common denominator of (-4)/((-12)/9) + (-15)/(-35) and 51/2 + 9/n.
14
Let r(u) = 73*u + 1096. Suppose -4*b = 4*m - 0*m - 12, -2*b + 3 = 3*m. What is the smallest common multiple of r(-15) and b?
6
Let h = -216 - -222. Calculate the lowest common multiple of 1 an