Let n(m) = -m**2 - 6*m - 6. Let i be n(-4). Suppose -7 + 1 = -3*z. Suppose 3*h - 12 = -z*s + h, 2 = i*h. Calculate the smallest common multiple of 4 and s.
20
Let t = 1577/3 - 506. Let i(h) = -h**2 + h + 1. Let s be i(3). Find the common denominator of (-1*2/(-12))/(s/(-745)) and t.
6
Suppose 4*k = 87 + 105. Find the common denominator of (-8)/(-20) + (-398)/(-80) and (k/(-64))/(3/(-14)).
8
Suppose -1227 = -3*y - 3*l, -21*l + 19*l + 2033 = 5*y. Calculate the least common multiple of y and 25.
2025
Let x(v) = -v**3 - 3*v - 1. Let s = 6 - 8. Let a be x(s). Find the common denominator of (2 - a/7)*-1 and 38/11.
77
Let d be (-36)/(-14) + (-45)/(-105). Let i be 172/(-88)*11117 + d. Let h = -21721 - i. Find the common denominator of h and -5/18.
198
Let s = 7 - 5. Suppose 0 = -s*j - 3*j + 15. Suppose 3*r = 2*u - 43, -2*r - 41 = -2*u - j. What is the smallest common multiple of u and 8?
56
Let x be (-274)/(-10) - (-8)/(-20). What is the common denominator of (2/3)/(2 - 4144/2088) and x/(-30)*375/(-18)?
4
Suppose 0 = 3*d + 3*b - 12, -2*b = 5*d - 13 - 1. What is the common denominator of 1540/(-363) + (-1)/6 and d/4 - (-78)/15?
110
Let q(h) = -8*h - 4. Let u be 2 + -1*3*-5. Let t(a) = 23*a + 11. Let z(p) = u*q(p) + 6*t(p). What is the smallest common multiple of z(6) and 22?
110
Let m = -41 + 26. Find the common denominator of 262/m + (-12)/(-15) and -149/6.
6
Let o = 8 - 5. Suppose a - 12 = -3*c - a, -2*a = -o*c. What is the common denominator of -91/8 and c/8*316/(-16)?
16
Let h = 333719/18 - 18545. Find the common denominator of -37/1652 and h.
14868
Let a = -1260 + -2204. Let b = a - -20879/6. Calculate the common denominator of b and (-37)/10 - -3 - 2.
30
Let z(i) = -i**3 + 14*i**2 + 17*i - 26. Suppose -3*y = 2*y + 4*v - 95, 65 = 5*y - 2*v. Calculate the smallest common multiple of 18 and z(y).
36
Suppose -4 = x - 4*j, x = -0*j + 2*j - 14. Find the common denominator of (3/x)/((-5)/(-295)) and 2.
8
Let t = -10224 + 16525. Let u = t - 63061/10. Find the common denominator of 0 + (-71)/4 + -1 and u.
20
Suppose -2*k = -2*m + 6, -k + 3 = -m + 3*m. Calculate the least common multiple of 18 and m.
18
Let f = -53 + 44. Calculate the common denominator of -43/11 and (50/f - -3) + 4.
99
Let d = 1891 - 1731. Calculate the smallest common multiple of 176 and d.
1760
Suppose -24*j + 313 = -71. Calculate the least common multiple of 190 and j.
1520
Suppose 2*a + 6*o - 2*o - 14 = 0, 2*o = 5*a + 1. Suppose -4*t - 20 = -14*t. Calculate the lowest common multiple of t and a.
2
Let j = -4 - -13. Suppose -5*i - 22 = -a, -2*a + i + j = -8. Suppose -5*f + 64 = 3*t, 4*f - 37 - 25 = 3*t. What is the smallest common multiple of f and a?
14
Suppose -4*m = -3*c - 108, -4*m + 166 = m + 4*c. Calculate the common denominator of (-628)/198 - (-267)/(-979) and (44/m)/((-1)/3).
45
Suppose 15 = -21*p + 26*p. Suppose -75 + 21 = -p*j. Calculate the least common multiple of 22 and j.
198
Let h = 10695/28 + -382867/140. Let p = h - -2361. Calculate the common denominator of p and -44/7.
35
Let f(u) = 6*u - 6. What is the lowest common multiple of f(4) and 102?
306
Suppose 2*v + 0*v = 5*c - 94, 2*c = -3*v + 30. What is the least common multiple of 48/(-40)*(-2 - 6/(-18)) and c?
18
Let t be ((-308)/110)/((-2)/(-5)). What is the least common multiple of 3 and 6 + t + 1*4?
3
Find the common denominator of -220 + 222 - (203/30 - 1) and -79/528.
2640
Let j = -186 - -188. What is the least common multiple of 37 and j?
74
Let i be 101770/(-15)*6/1. Let c = 1465397/36 + i. Calculate the common denominator of 7/32 and c.
288
Let z be (-2)/9*(-5718)/40. Let o = -92/3 + z. Let a = 2/5467 + 541217/43736. What is the common denominator of o and a?
40
Let z = 628429/42 + -112374/7. Let y be 2 + 0 + (1116 - (-1 + 4)). Let k = z + y. Find the common denominator of k and 70/9.
18
Let p = 597 + -3001/5. Calculate the common denominator of p and (-2)/9*654/8.
30
What is the common denominator of (-323)/140 - 26/(-130) and -17/7?
28
Let p = -310 + 1539/5. What is the common denominator of -48/37 and p?
185
Suppose 59 = 14*t - 81. What is the smallest common multiple of t and 50?
50
Let c = -11 - -13. Suppose 336 = c*s + 6. Calculate the smallest common multiple of s/12 - (-1)/4 and 2.
14
Suppose -m + 4*d = 4*m + 132, 0 = -2*d + 6. Let l = -12 - m. Suppose 0 = 3*r + 3*u - 27, -u + 24 = 2*r + 3*u. What is the lowest common multiple of l and r?
12
Suppose 3*f + 5*j = 45, 4 = -2*j + 10. Let y(o) = o**2 - 2*o + 3. What is the smallest common multiple of y(-3) and f?
90
Suppose -5*i = 20, i + 59 + 110 = 5*t. What is the lowest common multiple of t and 27?
297
Let q = 11011/310 - 3/155. What is the common denominator of q and 35/14*(-46)/40?
8
Let s(m) = -5*m - 5. Let w(o) = o**3 - 2*o**2 + 4*o - 1. Suppose -4*j + 7*j = 9. Calculate the least common multiple of w(j) and s(-5).
20
Calculate the smallest common multiple of (88/(-12) - -7)/((-1)/54) and 12.
36
Suppose -4*a = -5*i - 54, 2*i = -2*i - 4*a - 72. Let p = -17 - i. Calculate the smallest common multiple of ((-4)/10)/(p/165) and 14.
154
Let o(r) = r**3 - 5*r**2 - 4*r - 10. Let x be o(7). Suppose 5*z - z = x. What is the smallest common multiple of z and 15?
15
Let a(u) = 2*u**2 - 2*u + 3. Let b be a(2). Calculate the common denominator of 77/2 - 2 - 0 and 2/(-12)*(b - 475/40).
16
Let i(u) = -11*u**2 - 2*u + 2. Let m be 33/55 - 34/(-10). Calculate the common denominator of i(2) and 4 + (-564)/40 + m.
10
Let s be (-1008)/2*-1*(0 + -1). What is the common denominator of 55/36 and ((-4)/(s/(-166)))/(4/12)?
252
Let x be 2 + -5 - 4/4. Let v = 12 + x. Suppose 5*s + v = s + 4*d, -d + 8 = 5*s. Calculate the smallest common multiple of 10 and s.
10
Calculate the common denominator of ((-63)/24)/(-7) - 1988/(-288) and -37/3.
18
Let p = 39 - 39. Find the common denominator of (p - 14/24)*128/24 and 65/27.
27
Let k(s) = s**2 + 5*s + 2. Suppose 49 = -8*i + 1. Let p(r) = -r**2 - 6*r + 1. Calculate the lowest common multiple of p(i) and k(-6).
8
Let o = -1 - -5. Suppose -k + 3 = -t - 3, -5*t = 15. Suppose k*j - n - 3 = j, 5*j + 3*n = 35. What is the lowest common multiple of j and o?
4
Suppose -61*q = -66*q + 15. What is the least common multiple of 2*3 - (-2 + q + -2) and 9?
63
What is the common denominator of 25/(-15)*(-86)/10 and ((-94)/6)/(30/9)?
30
Let i(r) = r**2 + 2*r + 1. Let a be i(1). Suppose a - 58 = -3*j. What is the smallest common multiple of 14 and j?
126
Let x be 3*((-68)/(-6) + 2). Suppose 5*s - 3*w + w + 136 = 0, -12 = -4*w. Let t = s + x. Calculate the lowest common multiple of 22 and t.
154
Suppose -29 = -k + 2*s, -5*k + 4*s + 139 = -0*s. Calculate the lowest common multiple of k and 363.
3267
Let z = -6393/4112 - 2/257. Let r = -1157/145 - -51/58. Let a = -173/5 - r. Find the common denominator of a and z.
16
Let r(t) = -t**3 + 6*t**2 + 3*t - 37. Suppose 0 = -4*q + 5*q - k + 3, 0 = 5*q - 3*k + 21. What is the smallest common multiple of r(5) and 1*-2*q/12?
3
Suppose -5*c = -z + 50, 50 = z + 76*c - 71*c. What is the lowest common multiple of z and 15?
150
Let o = 32/43 + -987/344. Calculate the common denominator of -7/23 and o.
184
Let o = 65011/12 + -5408. Calculate the common denominator of o and (3/81)/(2/147).
36
Let c(s) = 2*s**3 + 2*s**2 - 2*s - 4. Let a be c(-2). Find the common denominator of -19/16 and (6/(-27))/(a/(-285)).
48
Let x = 1550 - 1528. Suppose -c + 3*v = 0, 4*c = c - 2*v + 44. Calculate the lowest common multiple of x and c.
132
Let z = 142 - 255. Let a = 123 + z. What is the smallest common multiple of 12 and a?
60
Let h = -128041/119 - -2994/17. Let i = 908 + h. Find the common denominator of -64/9 and i.
63
Let c(x) = 3*x**2 + 6*x - 8. Let d be c(-4). What is the least common multiple of 8/d*1*36 and 2?
18
Suppose -6*s + 13*s - 63 = 0. Calculate the lowest common multiple of s/6 + 10/4 and 106.
212
Let y(k) = k**2 + 4*k - 10. Suppose -35 = -z + 6*z. Calculate the lowest common multiple of y(z) and 7.
77
Calculate the common denominator of 38/(-14) + 3 + (-4105)/(-210) and 91/242.
726
Let z(w) = -w + 73. Calculate the smallest common multiple of 36 and z(25).
144
Suppose -10363 - 22421 = 3*l. Let q be (-103848)/l*(-6)/8. Let t = q - -3/1366. Calculate the common denominator of t and 5/2.
8
Suppose 3*g - 3 - 69 = 0. Suppos