n denominator of 71/10 and ((-3)/(-9))/((-4)/d).
20
Let q(o) = o**2 + 7*o + 8. Suppose 3*s + 18 = p, 12 = -6676*s + 6673*s. What is the smallest common multiple of q(-6) and p?
6
Let r = -428515 - -86131244/201. Let j = 1/67 + r. What is the common denominator of j and (1 - 44)/(-7 - 2)?
9
What is the common denominator of 6*(-3)/(-45) - (-167)/(-580) and -65/6?
348
Suppose 2*c = -0*c + 36. Let m be (-1)/(-5) + -1 + (-616)/(-20). Suppose -i - 6 + 11 = a, -4*i - 2*a + m = 0. Calculate the smallest common multiple of i and c.
90
What is the common denominator of 93/22 and 174/18 + -8 + (-127)/(-48)?
176
What is the common denominator of -1/57 and (51/153)/((-57)/22)?
171
Let c = -75 - -82. What is the smallest common multiple of c/(7/2) + 16 and 15?
90
Let a(x) be the third derivative of -x**5/30 + 5*x**4/4 - 10*x**3/3 - 42*x**2. What is the smallest common multiple of a(13) and 12?
96
Let o be ((-8)/12)/(3 + 641/(-213)). Suppose -s = o - 81. Suppose 97 - 25 = 3*r. Calculate the smallest common multiple of s and r.
120
Let f be 1/(-2) - (-106)/4. Find the common denominator of 33/14 and (4 + (-49)/12)*f.
42
Let l(o) = 14. Let f(d) = -d + 15. Let w(u) = -5*f(u) + 4*l(u). Calculate the smallest common multiple of 3 and w(4).
3
Suppose d - 30 = 2*w + 34, -2*w = 4. What is the least common multiple of d and 16?
240
Calculate the common denominator of 1*20/25 - (-232)/(-144) and -109/18.
90
Let x = 16 + 14. What is the least common multiple of x and 18?
90
Let u be -3 - (-888360)/(-16)*3/(-40). Let w = -4158 + u. Calculate the common denominator of w and -23/12.
48
Let j = -443 - -527. What is the smallest common multiple of 63 and j?
252
Let p be (-117704)/(-40)*(105/18)/(-7). Let c = p - -2466. What is the common denominator of c and -35/37?
222
Let a = 2472 - 2311. What is the least common multiple of 92 and a?
644
Suppose -3 - 9 = -4*q. Suppose -1 + 10 = q*m. Suppose w + 45 = 6*w. Calculate the least common multiple of w and m.
9
Let y(b) = 5*b**2 + 16*b + 4. Let x be y(-5). Let j = 51 - x. What is the lowest common multiple of 5 and j?
10
What is the least common multiple of ((-73)/146)/((-2)/448) and 64?
448
Let k(n) = 406*n**2 - 16 + 12*n - 5*n + 5 - 9. Let t be k(8). Let j = t + -1457069/56. Find the common denominator of 71/14 and j.
56
Let q be 2/2*(1 + -110) - -3. What is the smallest common multiple of 4 and q/(-8) + 3/(-12)?
52
Let j(m) = m**3 - 5*m**2 - 6*m + 5. Let u be j(6). Suppose -4 - u = -3*x. What is the smallest common multiple of x and 5?
15
Let t(l) = 2*l**3 - 4*l**2 + 7*l - 35. Let n be t(10). Let g = 13063/8 - n. Find the common denominator of g and -48/7.
56
Let u = 7/19841409981 - -807825370513895/152064566094384. Let w = u - -1/8622. What is the common denominator of 77/8 and w?
16
Let m(g) = g**2 + 20*g + 96. What is the lowest common multiple of m(-18) and 45?
180
Let d = 1036 - 1001. What is the least common multiple of 40 and d?
280
Let b be 8 + -4 + -3*6/9. Suppose -b*l + 24 = l. Suppose -2*q + 6 = 0, -u - 2*q = 3*u - 30. Calculate the smallest common multiple of u and l.
24
Let q(d) = 2 - 4 - d**3 - 8*d**2 + 12 + 1. What is the least common multiple of q(-8) and 31?
341
Find the common denominator of -37/310 and 624/(-800)*14/18.
4650
Let o = -7 - -175. What is the smallest common multiple of o and 15?
840
Let j = 43 - 27. Calculate the common denominator of ((-55)/j + 1)*880/(-360) and 7/6*834/42.
24
Let n = -1009312/4612235 + -1/19795. Find the common denominator of -57/10 and n.
2330
Let z = -5758/7 - -825. Let x(b) = b**3. Let f(q) = 5*q**3 + 6*q**2 - 3*q + 12. Let l(o) = -f(o) + 4*x(o). What is the common denominator of l(-6) and z?
7
Let t(p) = -22*p + 4. Let j be t(11). Let m = 1423/6 + j. Calculate the common denominator of 63/20 and m.
60
Let k(l) = 2*l - 1. Let r be k(3). Let f(z) = 1 - 36*z**3 + 35*z**3 + z + 5 + 5*z**2 - r*z. Calculate the smallest common multiple of 8 and f(4).
24
Suppose -706 = -54*r + 1886. Calculate the lowest common multiple of 336 and r.
336
Let v(d) = 2*d**3 + 6*d**2 + 4*d - 3. Let n be v(-4). Calculate the common denominator of 1/((-174)/n - 3) and -48/7.
7
Let s(o) = o**3 + 8*o**2 + 8*o + 11. Suppose h - 7 = j, -h - 4*j - 17 = -4*h. Calculate the smallest common multiple of s(-7) and h.
44
Let k = -477 - -4773/10. Find the common denominator of k and 77/86.
430
Let c = 1998/101 + -197029/10302. What is the common denominator of c and 68/3?
102
Let t = -5 - 0. Calculate the least common multiple of (-44)/((2 - 0)*(-1 - 0)) and t/((-20)/(-6))*-12.
198
Let t = 174 - 166. What is the least common multiple of t and 34?
136
Suppose 4 - 9 = -5*b. Let v(u) = 2*u. Let m be v(b). What is the common denominator of -89/14 and m/(-5) - 1755/50?
14
Suppose 624 = -9*k + k. Find the common denominator of -23/8 and (k/(-100))/(12/(-70)).
40
Suppose 3*u + 4*a = 0, -2*u - 4*a = 8 - 4. Let s(h) = 2*h - 2. Let x be s(2). Calculate the smallest common multiple of u and x - -6 - (1 + -1).
8
Let y = -40903/8 + 5123. Find the common denominator of -61/25 and y.
200
Let q be (-10)/(-4) - (-2)/(-4). Suppose 5*y - 30 = -r, q*r = 2*y + 88 + 20. Suppose -r + 11 = -3*d. What is the common denominator of d and -49?
1
Suppose 18*f - 23*f - 5 = 0. Calculate the least common multiple of (-4 - -2)*(f + 2)*-46 and 2.
92
Let a(t) = 7*t + 132. Calculate the lowest common multiple of 48 and a(0).
528
What is the common denominator of -113/20 and 4/(-18) - (-10290)/7425?
220
Suppose -r + 12 = 4*s, -29*r + 28*r + 5*s + 3 = 0. Suppose 2*y + 0*y - 76 = 0. What is the least common multiple of y and r?
152
Let o = 844754/103 + -8201. What is the common denominator of o and -93/4?
412
Suppose 5*z = 3*v + 32, 0 = 4*z + 4*v - 0*v. Suppose z*k + 24 = -4. What is the common denominator of (-38)/k*(-4)/16 and 31/2?
14
Let i = 1254/41 + -49531/1476. Let p = -794/3 + 525/2. Calculate the common denominator of p and i.
36
Let i = -2/3801 + 376307/15204. Calculate the common denominator of -3*12*(-4)/(-776) and i.
388
Suppose -q = -4*q + 48. Suppose 24 = 2*a + 14. Suppose a*n = -23 + 113. Calculate the least common multiple of q and n.
144
Let a = 8 - 3. Suppose a*f - 55 = -3*i, -f + 0*f = 1. Suppose -4*m - 102 + 0 = -5*n, 0 = 5*n - m - 108. Calculate the smallest common multiple of n and i.
220
Suppose -3*c + 10357 = -0*c + 5*i, 2*c + 4*i = 6908. Let y = c + -20525/6. Let q = -22 + -24. What is the common denominator of q and y?
6
Let t = -1260 - -1438. Calculate the lowest common multiple of t and 18.
1602
Suppose 0 = 5*k - 5*t - 370, 5*t = k + 2*t - 82. Let c = -48 + k. Calculate the least common multiple of c and 14.
154
What is the smallest common multiple of 10/4*(-144)/(-20) and 72?
72
Let f(t) = -t + 7. Let y be f(7). Suppose y*a + 6 = -3*a. Find the common denominator of 1 + (-45)/16 + a and -69/10.
80
Let p(s) = -s. Let z(t) = t**3 + 8*t**2 + 8*t - 1. Let m = -11 - -4. Let w be z(m). Calculate the lowest common multiple of p(w) and 22.
88
Let y(f) = 3*f**2 + 5*f + 6. Let n be y(-6). Let q = 117 - n. What is the lowest common multiple of q and 9?
99
Let y(w) = -w**3 - 5*w**2 + 7*w + 7. Let j be y(-6). Let g be (-8)/(-2) - (-4 + j). Suppose -7*o + g = -6*o. What is the lowest common multiple of 2 and o?
14
Let u(k) = k**2 + 6*k - 5. Let f be u(-5). What is the common denominator of -62/3 and ((-288)/440)/(2/f)?
33
Let t = -9665/9 - -1076. Let u = 6043/30 + -1941/10. Find the common denominator of t and u.
9
Suppose 6 = 5*g - 3*a + 3, 0 = -3*a + 12. Suppose 4*z - g - 1 = 0. What is the least common multiple of z - 3/(6/(-26)) and 4?
28
Let o(m) = -2390*m**3 - 3*m**2 - 3*m - 1. Let c be o(-1). Let f = c + -7229/3. Calculate the common denominator of f and 52/7.
21
Let o(y) = -2*y + 4. Let m be o(17). Let v = -16 - m. Calculate the lowest common multiple of v and 6.
42
Suppose 3*j + 13 = 43. Suppose -4*s - 66 = -j. What is the common denominator of -101/16 and (-10)/(-308) + (-4)/s?
176
Let f = -4/605311 + 469117393/207016362. Let v = 4/19 - f. What is the common denominator of 55/6 and v?
18
Let z(w) = -5*w + 3. Calculate the smallest common multiple of (3/(-6) - 0)*-68 and z(-1).
136
Let k = -2825/288 + 253/36. What is the common denominator of -55/76 and k?
608
Suppose -4*m - 63 = 153. Let c = 22 + -6. What is the common