r = -33 - -189. What is the smallest common multiple of r and 14?
1092
Suppose -4*q = -s - 19, -2*s + 3*q + 2*q - 26 = 0. What is the common denominator of ((-148)/34 - s)*(-6)/(-48) and 31/16?
272
Let p be -8*(-1 - 1/(-2)). Suppose -8 = -p*b - 0. Suppose 4*x - 48 + 4 = 0. Calculate the least common multiple of x and b.
22
Let q(j) be the third derivative of -49*j**4/2 - 2*j**3/3 - 11*j**2. Let p be q(-10). Let o = p + -35351/6. Calculate the common denominator of o and -85/2.
6
Let y(m) = -m**2 - 3*m - 7. Let q be y(-11). Let z be 631/5 + 19/q. Find the common denominator of -107/10 and 28/z - 422/(-72).
60
Let x = 8 - 3. Let o(c) = c - 33 + 64 - 29. Calculate the lowest common multiple of x and o(2).
20
Let g = -451793/36 + 12547. What is the common denominator of g and -151/12?
36
Let p = 99347/110 - 4511/5. Calculate the common denominator of ((-1065)/(-525))/((-6)/15) and p.
154
Let d = 188897/79 - 2391. What is the common denominator of d and 125/6?
474
Let g = 88 - 83. Suppose g*a - 5*w - 45 = 0, 0 = -4*a + 5*w + 24 + 11. What is the least common multiple of a and 97?
970
Let o = 505/66 + 15/22. What is the common denominator of o and -31/63?
63
Let w(n) = -10*n**3 + 2*n**2 - 1. Let v be w(1). Calculate the common denominator of 195/v*(-1)/(-4) and (5 - 2) + 54/10.
60
Let g = -2 + 20. Let q be (-84)/(-16) - (-10)/(-8). Let n = q - 0. Calculate the lowest common multiple of g and n.
36
Suppose -1850*y - 10 = -1855*y. Let l(n) = n**3 - 4*n**2 + n - 2. What is the least common multiple of l(4) and y?
2
What is the common denominator of (-2)/(-11) - (-13)/(-572) and -7/4?
44
Let z = -69406 + 33245455/479. Calculate the common denominator of z and 37/3.
1437
Calculate the common denominator of -58/299 and (4/8)/((105/290)/(-3)).
2093
Let f(n) = 2*n - 8. Suppose 5*u = 4*m - 23, 4*m - 2*u = 19 + 19. What is the smallest common multiple of f(13) and m?
36
Let b(f) = 3*f**2 - 3*f + 2. Let h be b(1). Suppose 0 = h*z - 2*y - 16 - 0, 4*z - 5*y = 33. Calculate the least common multiple of z and 5.
35
Suppose k - x - 136 = 4, 696 = 5*k - 3*x. Calculate the least common multiple of 33 and k.
1518
Let w = -11979468/5 - -9549755/4. Let l = 8452 + w. Find the common denominator of 89/10 and l.
20
Let p = -104052714193/831 + 125213877. Let n = p + -3/554. Find the common denominator of (-134)/(-16)*(-1)/(-2) and n.
48
Let j = -1747/170 - -54/17. Let l = -14371/6 - -2417. Find the common denominator of l and j.
30
Suppose 224 = -6*g + 20*g. Calculate the lowest common multiple of g and 12.
48
Let j(g) = g**3 - 9*g**2 + 8*g - 3. Let h be j(6). Calculate the common denominator of (-16)/(-6) - (-14)/h and 129/(-9)*1/1.
9
Let l be 1103*(-4)/(-8) - 0. Let w = -567 + l. Find the common denominator of w and 150/4*5/(-135).
18
Let z = 12384301/90 - 137605. What is the common denominator of z and -25/126?
630
Suppose z = -3, 5*c - 48 - 119 = -z. Calculate the lowest common multiple of 306 and c.
306
Suppose 6*r - 10*r = 144. Calculate the common denominator of -14*(-1)/(-40)*-17 and 1 - -2 - (-370)/r.
180
Let n = 25 - -1. Suppose -14 - n = -2*h. Suppose -5*a - 4*r = -50, -5*a + 5*r = -3 - 2. What is the smallest common multiple of h and a?
60
Suppose 13*r = 9*r + 336. Let f = r - 70. Calculate the smallest common multiple of 8 and f.
56
Let i = 5697 - 57093/10. Calculate the common denominator of i and 41/832.
4160
Suppose -4*a + 12 = -i, 6*a = 2*i + 4*a - 6. Calculate the lowest common multiple of 53 and i.
424
Let t = -76 - -95. Suppose -5*f + 3*l = -0*f - 29, -f = -5*l - t. Calculate the least common multiple of 8 and f.
8
Let g = -264 - -285. Calculate the lowest common multiple of g and 15.
105
Suppose 14*q = 19*q - 200. Suppose -q = -8*h + 3*h. Suppose 4 = 3*w - 38. Calculate the lowest common multiple of h and w.
56
Let d be (-23)/(-5) + 8/20. Suppose -2*g = -g - d*y - 14, -5*y = 3*g - 2. Suppose 0 = -11*u + 10*u + 16. What is the smallest common multiple of g and u?
16
Let r(h) = -h**2 - 6*h - 1. Let j be r(0). Calculate the common denominator of (1/(-2) - j) + 531/27 and -19/20.
60
Suppose -3*t + 870 = 81. Let a = 1521 + -33455/22. What is the common denominator of a and t/(-60) + 5/(-25)?
132
Let q be (-9)/(-180)*324/(-2). Let i = -7/5 + q. Let w = -17041/14 - -1218. Calculate the common denominator of i and w.
14
Find the common denominator of ((-5)/45)/((-10)/(-670)) and ((-9)/(-12))/((-36)/(-214)).
72
Let h = 92816/3003 - 400/13. Calculate the common denominator of 37/77 and h.
231
Suppose y - 4*z - 11 = 101, -5*z - 221 = -2*y. Calculate the smallest common multiple of 6 and y.
108
Let f(r) = -5*r + 1. Let c be f(7). Let v = 56 + c. Let i(m) = -6*m**2 + 37*m + 8. Calculate the smallest common multiple of i(6) and v.
154
Let c(f) be the second derivative of f**3/6 - 9*f**2/2 + 5*f. Let t be c(6). Find the common denominator of 95/22 - (-1 - t) and 87/16.
176
Let f = 1/138 + -1349/2070. Find the common denominator of f and 13/20.
180
Let h be ((-28)/10 + 4)/(3/(-170)). Let i = -61 - h. Calculate the least common multiple of i and 8.
56
Suppose 3*y - 2*n = 217, -16*y - 2*n = -17*y + 79. What is the lowest common multiple of y and 9?
207
Calculate the smallest common multiple of 20 and (32 - 4)*260/14.
520
Let r(z) = -z + 1. Suppose -3*v + 1 = -d - 0, -2*d + 18 = -v. What is the smallest common multiple of d and r(-6)?
77
Let g be (-2 - -1)*595/(-5). Let b = g - 116. What is the smallest common multiple of 64 and b?
192
Let v(n) = -863*n**3 - 2*n**2 + 8 + 864*n**3 + n + n**2. Let h be v(0). Find the common denominator of -47/54 and h/(-28) - 81/(-14).
54
Calculate the common denominator of 51/236 and (-14 - 12117/(-980)) + (-2)/(-7).
1180
Let s be (0 + (-4)/3)*3. Let v be (0 - -8) + s/1. Suppose -4*i - 3*n = -v*n - 27, -3*i - n + 15 = 0. What is the least common multiple of 1 and i?
6
Suppose -41 = -3*y + 2*w, 2*y - y - 15 = w. Suppose 2*b - 41 + y = 0. Calculate the lowest common multiple of b and 33.
165
Let o = -7194/7 - -128729/126. Find the common denominator of -59/282 and o.
846
Suppose -6 = -3*x, -3*o + 33 = 4*x - 68. What is the smallest common multiple of 5 and o?
155
Let c be 0 + (3 - (-72080 - 2)). Let y be (-6)/(-33) + c/110. Let q = 684 - y. Find the common denominator of -83/2 and q.
2
Let r(f) = f**3 - 25*f**2 - 29*f + 62. Calculate the common denominator of 31/2 and r(26).
2
Let x = 435 + -434. What is the least common multiple of 19 and x?
19
Let q(k) = -22*k - 41. Calculate the lowest common multiple of 30 and q(-2).
30
Calculate the common denominator of -55/14 and 13 + (-17530)/2280 - (-2)/19.
84
Let j(g) = -g**2 + 22*g + 27. Suppose 5*n + 5*m + 89 - 4 = 0, -5*n - 67 = -m. Let q = 30 + n. What is the lowest common multiple of j(23) and q?
16
Let t = 18 + -9. Suppose t + 11 = 2*o. Let i(q) = q**2 - 12*q + 23. Calculate the smallest common multiple of i(o) and 11.
33
Suppose -421*v + 429*v = 920. What is the lowest common multiple of 45 and v?
1035
Suppose 4*r = 2*r - 3*s - 171, 4*s = -5*r - 431. Calculate the common denominator of 15/14 and (r + -20)*1/(-30).
210
Suppose 0 = 68*x - 213 - 127. What is the least common multiple of x and 16?
80
Let f = -36 - -25. Calculate the smallest common multiple of 2 and (-4)/(((-12)/18)/(f/(-3))).
22
Let y(o) = -o**3 + 28*o**2 + 3*o - 82. What is the smallest common multiple of y(28) and 382?
382
Find the common denominator of -97/4 and (1292/432 + -3)*(-603)/6.
72
Let a = -8/4423 + -115861/1968235. Let w = -59671/8010 - a. What is the common denominator of -47/20 and w?
180
Let j = 223 + -121. Calculate the least common multiple of j and 48.
816
Suppose 0 = p + 2*p + 5*z - 4, -3*z = 5*p + 4. Let i be p/(-11) - (-1806)/(-11). What is the common denominator of -91/4 and i/(-48)*2/(-3)?
36
Find the common denominator of 1264/(-5544) - -1*15/(-35) and 41/30.
990
Let a(l) = -37*l - 33. Calculate the lowest common multiple of a(-1) and 220.
220
Let m(z) = z**2 + 12*z + 15. What is the common denominator of m(-9) and 41/25?
25
Let y = 53 - 37. Suppose c - 3*d - y = 0, -3*c + d + 3*d = -23. Calculate the least common multiple of 8 and c.
8
Suppose -2*m = 9 + 39. Calculate the common denominator of 2 - ((-207)/m - 3) and 2/3 - (-293)/60.
40
Suppose -5*j = -3*r - 0 + 3, 5 = -4*j + 5*r. Suppose -5*l + j*