t w(r) = -r + 1 + 9 - 8. What is the smallest common multiple of w(1) and 7?
7
Let j(g) = g**3 + 7*g**2 - g + 1. Suppose 2*y = -0*y - 14. Suppose 5*n = -n + 30. What is the least common multiple of n and j(y)?
40
Suppose 6454*q - 6449*q = 10. What is the smallest common multiple of 1252 and q?
1252
Suppose -71*l = -75*l + 272. What is the lowest common multiple of 8 and l?
136
Let j = -5988946209/14921 - -401377. Let f = 84393136/74605 + j. Let d = 1121 - f. Calculate the common denominator of 35 and d.
5
Suppose -2*t + o = -3*o + 6, 0 = 5*t - 2*o - 17. What is the lowest common multiple of (-9)/6*6/(-9) and t?
5
Suppose -33 = -3*c - 3. Let j = c - 19. Let h = j + 16. What is the least common multiple of h and 6?
42
Calculate the common denominator of ((-145)/58)/((-146)/(-26)) and 22.
146
Let i be (-122)/(-4) + (22/(-4) - -5). Suppose -g = -35 + i. Let j(a) = a**2 + 3*a - 1. What is the lowest common multiple of g and j(-5)?
45
Let r = -8887/2191 - -8/939. Find the common denominator of r and ((-8)/(-54))/((-1)/3).
63
Let z = -4288 - -844745/197. Let o = z + 22207/1182. Find the common denominator of o and -19/80.
240
Let v = 1831 + -12790/7. Find the common denominator of v and ((-6)/(-4))/((-48)/(-116)).
56
Suppose -3*g - 1830 = -5*f, -5*f - 5*g = -g - 1865. Let v = f + -2227/6. Calculate the common denominator of 5/3 and v.
6
Let a be ((-1)/3)/((-2)/42). Let u be -4 + 10 + 1*-4. Suppose u*f = f + a. Calculate the common denominator of -31/9 and f.
9
Let l = 4 - -1. Let a = -40 - -56. Suppose 5*o - a - 14 = 0. What is the smallest common multiple of l and o?
30
Let l = 19712 - 2917357/148. Calculate the common denominator of l and 55/2.
148
Let t = -484703/52878 - 2/8813. What is the common denominator of -111/476 and t?
1428
Let o = 1/42845075 + -16352722620347/942591650. Let y = o - -17344. Let h = 88 - 889/10. Find the common denominator of h and y.
110
Let j(p) be the first derivative of -p**3/2 + 3*p**2/2 + p - 7. Let y(r) be the first derivative of j(r). What is the lowest common multiple of 10 and y(-5)?
90
Let j = 148/19 - 1286/209. Find the common denominator of 13/6 and j.
66
Suppose -j = 3*q - 21, -4*j - j = q + 7. Calculate the least common multiple of 9 and (-8)/4 - (4 - q).
18
Let y be 1*((-9)/(-6))/((-6)/(-20)). Suppose 50 + y = 5*z. What is the lowest common multiple of z and 21?
231
Let m = -354 - -198. Find the common denominator of 5/2 and m/(-90)*35*(-2)/(-24).
18
Let h = 8/2759 - -262009/33108. Let k be 3331/38*-11 - -2. Let b = k + 965. What is the common denominator of h and b?
228
Let z(m) = -m**2 - 11*m + 25. Let g be z(-11). What is the common denominator of 95/6 and g/11 + -1 + -3?
66
Let r = 1/450654378 - -7542602321209/1521859834506. Let a = 1/614 - r. Find the common denominator of -59/26 and a.
286
Let r(h) = 200*h - 9. Let c be r(-11). Let l = 13223/6 + c. Calculate the common denominator of l and 1*(-79)/(-12) + -3.
12
Let v = -51741/14032 - 1/7016. Let n(i) = -i**3 + 6*i**2 - 4*i - 1. Let y be n(6). Find the common denominator of v and 6/(-24)*y/(-2).
16
Let n = 5 + -2. Suppose -2*d - 5*s + 24 = 0, 5*d + 4*s - n*s = 14. Calculate the lowest common multiple of 3 and d.
6
Let o = 10932 + -634017/58. What is the common denominator of o and -63/8?
232
Let a(l) be the third derivative of -l**5/60 - 7*l**4/24 + l**3/6 + 7*l**2. Let k be a(-7). Calculate the common denominator of 47 and -4*k - (-57)/(-76).
4
Let b = 349 - 5595/16. What is the common denominator of b and -73/14?
112
Suppose -7*h = 2*h - 63. Suppose -5*f + h = -23. Let y(c) = -13*c**3 - c**2 + c + 1. What is the smallest common multiple of y(-1) and f?
12
Let l(o) = o**2 - 2*o + 5. Let m(b) = 4*b**2 - b. Let f be m(-1). Let w(j) = j**2 - 20*j + 35. Calculate the lowest common multiple of l(f) and w(19).
80
Let v(r) = 2*r**2 - 11*r + 79. Calculate the lowest common multiple of v(8) and 21.
357
Let q(v) = 3*v**2 - 3*v - 1. Suppose 3*g + y + 2*y = -9, g - 12 = 2*y. What is the least common multiple of 50 and q(g)?
50
Let w(c) = c**3 + 10*c**2 - 5*c - 14. Let u be w(-10). Calculate the least common multiple of 1 + 8/(-6) - (-84)/u and 6.
6
Let f be (6/207)/(10/2805). Let z = f + -67349/8326. Find the common denominator of z and 53/22.
3982
Let x(y) = -y**3 + 21*y**2 + 25*y - 23. Let l be x(22). Let m be 50/(-4)*(0 + -2). Let v = l - m. What is the lowest common multiple of 2 and v?
18
Let w be (1 - 5) + 4 + -1. Let o be 0/(w + 2)*1. Suppose o = -4*g - 6 + 202. What is the common denominator of 41/7 and g?
7
Let o = 3 - -6. Calculate the smallest common multiple of 20 and (-2)/6 + 21/o.
20
Let g = 724231/110 - 6584. Calculate the common denominator of 83/18 and g.
990
Let c(r) = 201*r**2 + r. Calculate the least common multiple of c(-1) and 200.
200
Let x = 646973/265830 - 4/8861. Let p = 79709/18 + -4427. Calculate the common denominator of x and p.
90
Let d(w) = 1 + 4*w + 2*w**2 + 0*w - 3*w. Let t(o) = o**3 - 9*o**2 + 16*o - 4. Calculate the lowest common multiple of t(7) and d(-1).
10
Let w = -5/876 - 24941/4380. Let p = -75039 - -1278640/17. Let c = 176 - p. What is the common denominator of w and c?
170
Let w(p) = 2*p + 11. Suppose 0 = 4*a - 16, -z + 4*z = 5*a + 4. Let c be w(z). Suppose 23 = 5*h - c. What is the lowest common multiple of h and 8?
40
Let y(j) = -75*j + 91. Let n(k) = -3*k**3 - 2*k - 1. Calculate the smallest common multiple of y(1) and n(-1).
16
Let f = -11002 + 17826. Let k = f + -170573/25. Find the common denominator of 53/3 and k.
75
Suppose o + 1 = 4. Suppose -k - 460 = -o*k. What is the common denominator of 23/6 and k/(-12) + 0 + -2?
6
Calculate the lowest common multiple of 2117/584 - (-3)/8 and 67.
268
Let a be 0 + ((-114)/(-23))/(-1). Let t = -520/207 - a. Calculate the common denominator of t and (19/27)/(2/(-12)).
9
What is the smallest common multiple of 6 - (10 - (211 + 2)) and 209?
209
Let g = -5053418443/308661 - -2265304/137. Let k = -163 + g. Let z = k - 11243/24783. Calculate the common denominator of 17/2 and z.
22
Suppose -3*r + 11 = -2*r. Suppose -o + r = -1. Let v(c) = c**2 + 14*c + 53. Calculate the least common multiple of o and v(-5).
24
Let g(j) = 2*j**2 + 19*j + 13. Let s be g(-9). What is the common denominator of ((-6)/(-3))/s*45 and -12/23?
46
Let j = -10303/1148 - -264/41. Find the common denominator of -31/24 and j.
168
Let l = 1/477462 + 1151200670/238731. Let q = l + -4797. Find the common denominator of q and (162/(-80))/(2/8).
30
Let l = 29 + -11. Let j be (469/462)/((-2)/l). Let z = j + 10. Calculate the common denominator of z and 89/4.
44
Let a(w) = -18*w**2. Let x be a(1). Calculate the common denominator of x - -14 - (-169)/18 and 127/12.
36
Suppose 4*v = 172 + 596. Suppose -u - 2*u = -4*y - v, 4*u + 2*y = 234. What is the least common multiple of u and 10?
60
Suppose 5 - 9 = -2*m. What is the common denominator of -5/6 and (-49)/(-18) + 6 - 1/m?
18
Suppose 2 = -p + 6. Suppose 0*n = -p*n - 152. What is the common denominator of 79/12 and 1159/n*(-2)/(-6)?
12
Let u = 373 - 365. What is the smallest common multiple of 584 and u?
584
Suppose 0 = -16*s - 7*s + 460. Suppose 20 = -16*r + s*r. What is the least common multiple of 11 and r?
55
Let a(t) = -t**3 + 15*t**2 + 6*t - 20. What is the least common multiple of a(13) and 14?
2772
Suppose 2*m = -2*g + 3*m - 16, g + 2*m = -3. Find the common denominator of (-1101)/630 + 3 + 23/g and 46/9.
90
Let r = -1/228 - 9689/228. Let j be (495/(-200))/((-6)/8072). Let z = j - 3327. Calculate the common denominator of r and z.
10
Let t = -14611/2775 - -399/74. Find the common denominator of t and 61/8.
600
Suppose -90 = 191*i - 196*i. Calculate the smallest common multiple of i and 36.
36
Let s = -25156 + 4276477/170. Find the common denominator of s and 47/50.
850
Let n = 18569/52 - 4662/13. Find the common denominator of n and 125/18.
468
Find the common denominator of 1/(-2) - 558/(-434) and -121/1050.
1050
Let z(n) = -2*n**3 - 7*n**2 + 9*n + 4. Let m be z(-6). Let d = -318 + m. Let g = 1694/9 + d. Find the common denominator of 133/6 and g.
18
Let s = 742039/10176 + -13/3392. Let p = s - 331/4. Calculate the common denominator of p and (6/(-21))/((-3)/7).
6
Let l be (0 + (1 - 1))*1. Suppose 4*v + l*v = -232. Calculate the smallest common multiple o