at is the common denominator of 31/30 and q?
90
Let n = -286 - -290. Suppose 4*q - l = -q + 52, 0 = 4*q + n*l - 32. Suppose -5*r + 7*r = 16. What is the smallest common multiple of r and q?
40
Let d(a) = -a**2 + 4*a - 3. Let v be d(6). What is the common denominator of -50/33 and (3/(-27))/((-8)/v) + -2?
264
Let p = -12197 + 133999/11. Let g = p - -3811/220. What is the common denominator of g and 29/18?
180
Let f(m) = 4*m**2 - 22*m - 22. Calculate the least common multiple of 18 and f(-10).
5382
Let p = -60003 + 9000307/150. What is the common denominator of 28/75 and p?
150
Suppose -5*a + o = 6 - 0, 0 = -a + 3*o - 4. Let v be a/460*(-14180)/(-8). Let t = v + -12/23. Calculate the common denominator of t and -32/7.
56
What is the smallest common multiple of 40 and 154/(-847) + (-310)/(-11)?
280
What is the common denominator of (-2)/7 - (-702)/(-140) and (2/3)/1*1387/(-146)?
30
Let n be (-3)/((-24)/(-544)) + 6/(-2). Let u = -279/4 - n. Find the common denominator of u and -11/4.
4
Let r = 19 + -17. Suppose -8 = -6*l + r*l. What is the common denominator of 9435/540 + l/(-9) and 37/8?
8
Let j = -17 - -19. Suppose j*r + x + 14 = 0, r + 5*x = -0*x - 25. Let k(l) = -l**2 - 8*l + 1. What is the lowest common multiple of 8 and k(r)?
16
Let a = -22 - -14/3. Find the common denominator of a and (-102)/(-364) - (8 - 4)/8.
273
Calculate the common denominator of 45/104 and (4/(-20)*2)/((-36)/(-1995)).
312
Let o(u) = u**2 - 53*u + 292. What is the lowest common multiple of o(61) and 10?
780
Let a(i) = -2*i**3 - 13*i**2 - 5*i + 3. Let c be a(-6). What is the common denominator of -19/15 and c*((-160)/(-21))/(-5)?
105
Let u(i) = i**2 - i - 12. Let k be u(0). Let o = 1/2188 + -8342/547. Find the common denominator of ((-6)/(-9))/(22/k) and o.
44
Calculate the smallest common multiple of 104 and (2*11)/2*(-292)/(-1606).
104
Suppose 0 = -2*h + 4*c - 2*c + 6, 0 = -3*c - 12. What is the common denominator of -93/20 and h/(-3) - 442/84?
140
Suppose -3*a - a = 3*c - 46, 0 = 4*a - 16. Suppose -s = 4*s + c. Calculate the common denominator of (-42)/(-10) + s - 1 and 24/5.
5
Find the common denominator of ((-3)/(-9))/((-6)/15) and (-1575)/840 - (-4 - -1)*2.
24
Suppose 0 = -6*y - 33 + 213. Calculate the smallest common multiple of y and 165.
330
Let l be (3663/(-21))/(-1) - 1. Let m be 7/((-1568)/(-39660)) - 0. Let c = l - m. Calculate the common denominator of c and -97/16.
16
Let t(f) = f**2 + 7*f + 8. Let k be t(-6). Suppose q - 33 = -k*q. Suppose -q - 9 = -4*h. Calculate the smallest common multiple of 8 and h.
40
Let c = 493 - 485. Calculate the least common multiple of 212 and c.
424
Calculate the common denominator of 29/84 and (-1552)/2240 - 2/(-4).
420
Let f = 11 + -11. Suppose -4*a - a + 15 = f. Suppose a*g = -3*k + 7*g - 14, 2*k - 4*g + 16 = 0. Calculate the least common multiple of 6 and k.
6
What is the common denominator of (1336/72)/(120/9) and -3/55?
1320
Let g be (16/24)/((-2)/48). What is the lowest common multiple of g/88 - (-178)/11 and 12?
48
Suppose -2*l + 1 = 3*z, -4*l - 10 = -5*z + l. What is the common denominator of 1048/(-96) - (-6 + z) and -157/30?
60
Let v = 606/23 - 16729/552. Find the common denominator of v and ((-134)/(-2) + 4)/(72/(-24)).
24
Let m be 1*-2 + -1 + 16136/7436. Let s = 2/169 + m. Let a = 317/42 + -59/6. Calculate the common denominator of s and a.
77
Let s = -37832114389/8531402 + 1/775582. Let f = -4431 - s. Calculate the common denominator of 2/(-8) + 57/(-108) and f.
99
Let w = 1/3753 + 2779/3753. Let y = -3139/12903 - -1/1173. Calculate the common denominator of y and w.
297
Let q = -28 + 44. Suppose 0*v - 15 = -5*v. Suppose -v*s + 80 = 2*s. What is the least common multiple of s and q?
16
Let y = -815/1043 + 10/149. Calculate the common denominator of y and 19/86.
602
Suppose -3*z = f - 75, -13*f + 9*f - 108 = -5*z. What is the smallest common multiple of 132 and z?
264
Let t(p) = 18*p**2 + 2*p + 1. Let u(h) = -h + 8. Let c be u(6). Suppose -c*m + m + 14 = -3*s, -3*s - 16 = m. What is the common denominator of 12 and t(m)?
1
Let x = 26443839847/980 + -26983514. Let r be 795/(-588) + 7/28. Let j = x - r. Calculate the common denominator of j and 67/4.
20
Let w = 729/25 - 14821/600. What is the common denominator of 102/(-81)*(11 + 99/(-11)) and w?
216
Let n = 0 + 2. Let c(w) = -w**3 - 5*w**2 + 10*w - 1. Let l be c(-7). Let z = 41 - l. What is the lowest common multiple of n and z?
14
Let b = 2908 + -31953/11. Let i = 1809/4 - 5189/12. Find the common denominator of i and b.
66
Calculate the smallest common multiple of 3 - (1/2)/(8/(-16)) and 1202.
2404
Let g(t) = 4*t + 34. Calculate the lowest common multiple of g(-7) and 37.
222
Suppose -2*k + 4 = -0. Let w = 2 - k. Suppose 3*b + 9 = -3*p, 5*b + 2*p = -w*p. Calculate the lowest common multiple of b and 2.
2
Let k = 907 - 9970/11. Suppose 0 = -4*n - 2*n - 96. Let s = 15 - n. Find the common denominator of k and s.
11
Let x = 217 - 177. Calculate the smallest common multiple of 65 and x.
520
Let f be 54/(-5) - (-4)/(-20). Let x = -2 + -7. What is the least common multiple of f/(-3) + 6/x and 8?
24
Suppose -5*g + 68 = -4*g + 4*b, 2*g = -3*b + 126. What is the lowest common multiple of 20 and g?
60
Let v be (2286/(-10))/((-5)/25). Let c = -647 + v. Let x = c + -1897/4. What is the common denominator of x and -4/3?
12
Let u = -9238 + 295655/32. Calculate the common denominator of 47/184 and u.
736
Suppose -3 = 4*h + 3*n, -4*h + 3*n = -9*h. Suppose -h*c + 35 = -46. What is the smallest common multiple of c and 33?
297
Let s = 3024965/48 + -63017. What is the common denominator of -43/48 and s?
48
Suppose -82 = 2*k + 72. Find the common denominator of (7/(7/(-3)) + 82)/(-4) and 15/(-10)*k/24.
16
Let c = 1449/44 - 17701/132. Let b = c - -230/3. Find the common denominator of b and -113/28.
28
Let c = -21701/5214 - 4/869. Find the common denominator of -23/117 and c.
234
Let j = 418 + -370. Calculate the least common multiple of j and 10.
240
Let q = -1948/741 - -48/19. What is the common denominator of 1 - (-2 + 2 - (-228)/(-66)) and q?
429
Suppose 5*s + 3*y = -0*s + 45, 3*s - 3*y = 27. Suppose q = -2*g + 4 + 2, -3*q - 6 = 0. What is the lowest common multiple of g and s?
36
Let j be -1 + (624/357)/2. Let u = -4726/3633 + 3996407/247044. Let c = u + j. Find the common denominator of 1/12 and c.
12
Let c(u) = 2*u**2 - 7*u - 17. Let w be ((-48)/(-15))/(14/35). Calculate the least common multiple of 10 and c(w).
110
Let j = -137029/200 - -70563/25. Let z = j + -2140. Find the common denominator of z and (-1)/1*178/(-8).
8
Let j be (270/81)/((-1)/3*1). Suppose -3*n + 92 = -5*q, -5*q + 0*q + 180 = 5*n. What is the smallest common multiple of n and (-2 - 31)*j/15?
374
Let u = 710 + -678. Calculate the least common multiple of u and 10.
160
Let q(t) = 4*t - 3. Suppose 0 = -2*i + i + 3. Let w be q(i). Let x = w - 6. Calculate the least common multiple of x and 4.
12
Let p(j) = -4*j - 29. Let n be p(-7). What is the common denominator of (n - -4) + -4 + (-202)/(-28) and 1*3/(-30)*-63?
70
Let v = 51767196 - 48143484289/930. Let a = 66/155 - v. Let j = -25535/11 - -2319. Calculate the common denominator of j and a.
66
Let n be -3*(-4 + 7/3). Suppose -5*z + 15 = -n. Calculate the lowest common multiple of z and 22.
44
Let p(j) = -j**2 + 5. Let w be p(0). Suppose -v + w*v - 5*r = -6, 8 = 2*v + 3*r. What is the common denominator of -3 - (v - (-39)/24) and 53/10?
40
Let j = -519/88 - 27/22. Suppose 2*s - 780 = 862. Let f = s + -4949/6. Calculate the common denominator of f and j.
24
Find the common denominator of (245/(-735))/((-14)/(-57)*(-3)/(-18)) and (-4)/(-6) - 157/(-30).
70
Let j = 13751/1900 - -6/475. Suppose -2*r = -v + 3*r - 1370, 3*r - 5429 = 4*v. Let t = v - -9514/7. What is the common denominator of j and t?
28
Find the common denominator of 95/256 and (212/(-24))/((-608)/57).
256
Let i = -27 - -27. What is the common denominator of 53/12 and 81/144*(i - 18)?
24
Let s(m) = -m**2 + 10. Let l = -8 + 8. Let w be s(l). Let z = w + -1. Calculate the least common multiple of 5 and z.
45
Let g(f) = f**2 + 5*f - 2. What is the smallest common multiple of g(-6) and 40*(-1 + (-3)/(-2))?
20
Let c = -3 - -30. Let r = c + -9. Calculate the lowest common multiple of r and 2.
18
Find 