e of g and 2?
18
Suppose -5*p + 5*t = 33 - 63, 3*p - 8*t = -2. Let z = 1 + 5. What is the least common multiple of p and z?
30
Let c(a) = 152*a**2 + 1. Let m be c(2). Calculate the common denominator of -56/15 and m/(-360) - 2 - 6/10.
120
Let y = -2994489101 + 26913640414/9. Let d = 4080594 + y. Let w = d + 4023. What is the common denominator of 1/8 and w?
72
Suppose c = 2*c - 4*w + 7, -3*c + 3*w = -6. Let v be (c + -4)*-14 + -2. Calculate the common denominator of v/(-56) + (-138)/(-56) and 49/18.
36
Suppose 4*j + 5*i = 28, -4*i + 25 = 9. Let k(w) = -4*w**3 - 9*w**2 + 5*w + 2. Let y be k(-3). Calculate the least common multiple of j and 217/y - (0 + 2/(-4)).
16
Suppose p = -p - 10. What is the least common multiple of (-17 - -2)*((-10)/(-3))/p and 20?
20
Calculate the common denominator of -47/12 and (-39)/(-2)*(3955/(-495) - -8).
132
Let i = -2/37557 - -3267499/751140. What is the common denominator of -11/36 and i?
180
Suppose -j + 211 = -3*y, -2*y = 3*j - 368 - 320. What is the smallest common multiple of 16 and j?
1808
Let l = 42 + -46. Calculate the smallest common multiple of (32/40)/(l/(-10)) and 8.
8
Let b(t) = t**3 + 14*t**2 + 44*t + 71. What is the lowest common multiple of b(-9) and 370?
2960
Let k be 1/(2/(-96)*-2). Let y be 2/(-3 - 5/(-2)). What is the common denominator of (-195)/k - y/(-16) and 3/16?
16
Let z(v) = v**3 + 7*v**2 + 3*v + 9. Let s be z(-7). Calculate the smallest common multiple of 18 and 9*(4 + (-32)/s).
180
Let m = 175 - 165. Calculate the least common multiple of m and 24.
120
Let r(k) = -27*k + 19. Let z be r(2). Calculate the common denominator of (-7)/(z/2) + (-269)/(-165) and 47/18.
198
Calculate the common denominator of -25/21 and (-225)/(-540)*(-378)/(-20).
168
Let h(w) = -w**2 + 9*w - 10. Let f(d) be the third derivative of -5*d**4/24 + 2*d**3/3 - 6*d**2. What is the least common multiple of f(-2) and h(4)?
70
Let k(s) = 3*s - 2. Let p(z) = 4*z - 3. Let q(v) = 2*k(v) - 3*p(v). Let n be q(-6). Suppose -5*o = -n - 9. What is the lowest common multiple of 20 and o?
20
Let w(p) = -9*p**2 - 17*p - 69. Let n(v) = -25*v**2 - 52*v - 208. Let z(u) = 4*n(u) - 11*w(u). What is the smallest common multiple of z(-14) and 15?
75
Let f = 173 + -170. Let y be (-2)/(12/9)*-2. Suppose -l - y*v - 7 = l, 5*v + 13 = -3*l. What is the least common multiple of f and l?
12
Let a = 80219/88990 + -60/809. Calculate the common denominator of a and 169/180.
1980
Calculate the common denominator of -39/25 and (-46)/(-10)*(-1)/(-2).
50
Suppose 2*v + 5*a = 5*v - 644, -5*v = -3*a - 1052. Calculate the least common multiple of v and 52.
208
Suppose -12*q = -424 - 152. Calculate the lowest common multiple of q and 6.
48
Suppose -620 = -20*k - 80. Suppose 5*c - 5*v - 7 = 23, c + 2*v = 15. What is the lowest common multiple of k and c?
27
Let p be -2 + -3 + 3 - (-62)/11. Let j = 250/99 - p. What is the common denominator of j and -54/11?
99
Let w = 66 + -50. What is the common denominator of 404/(-6)*(-2)/w and 65/33?
132
Suppose 12 = 4*a - 4*k + 2*k, 0 = -5*k. Suppose 2*g + 20 = a*g. What is the least common multiple of 54 and g?
540
Suppose -r - k - 4*k = -7, -4*k = -4*r + 28. Let w(l) = -2*l**2 + 16*l. What is the lowest common multiple of 14 and w(r)?
14
Let u(k) = -k**2 + 6*k - 5. Let s be u(5). Let o be (-1 + s + 0)*32. What is the lowest common multiple of (-2)/(-8) + (-24)/o and 3?
3
Let d(w) = -w**3 - 14*w**2 - 14*w. Let c be d(-13). Let o = -12 - -5. Let j = o + c. What is the lowest common multiple of j and 9?
18
Let q = -166 + 290. Let o = -306125/19436 + 2/4859. Calculate the common denominator of o and (q/80)/((-2)/4).
20
Let s = -1 - -3. Suppose 6*v - s*v + 232 = 0. Let a = -38 - v. What is the smallest common multiple of a and 10?
20
Suppose 29*p + 1008 = 35*p. Calculate the least common multiple of p and 16.
336
Let i(w) = w**3 + 9*w**2 + 8*w + 5. Let b be i(-8). Suppose 0*k + 20 = b*k. What is the common denominator of 210/k - 2/1 and 61/9?
18
Let b(j) = j**3 + 11*j**2 + 8*j - 20. Calculate the least common multiple of 28 and b(-9).
140
Let q be 12/(-16)*16/(-3). Suppose 2*j = 22 - q. What is the smallest common multiple of j and 18?
18
Let b = -433 - -1342/3. Let t be -1 + 47*3/(-6). Let v = b + t. Find the common denominator of -59/16 and v.
48
Suppose 9*x - 200 = 16. Calculate the common denominator of (3/(-2))/(x/(-272)) and 34/5.
5
Let n = 14 + -20. Let l(a) = 6*a**2 + 14*a - 3. Let w(b) = -5*b**2 - 13*b + 4. Let s(t) = n*l(t) - 7*w(t). Calculate the lowest common multiple of s(4) and 5.
10
Find the common denominator of 29/3 and (-1112)/(-296) - -1 - 4.
111
Let t(a) = -6*a - 2. Let s be t(3). Suppose 465 = 2*r - 17*r. Let l = s - r. What is the least common multiple of l and 7?
77
Let a = 52709/104720 + 12/1309. What is the common denominator of a and -97/10?
80
Calculate the common denominator of (-40)/(-100) + 241/(-40) and (21/30)/((-4)/10).
8
Let o = -55 + 185. Suppose -b - 32 - 66 = -4*r, 5*r = 5*b + o. What is the least common multiple of r and (10 - (2 + 0)) + 0?
24
Suppose 13 + 2 = 5*r. Let g(m) = 11*m**2 + 2*m + 3. Let x be g(-2). Let t = 45 - x. What is the smallest common multiple of t and r?
6
Let g be ((-1574)/523 - (-5 + 4)) + 2. Let d = g + -38069/11506. What is the common denominator of -67/28 and d?
308
Let f(a) = -a**3 - 6*a**2 - 4. Let p be f(-6). Let s(q) = q**2 + 5*q + 3. Let h be s(p). Calculate the common denominator of h/(-2)*(-42)/24 and 97/12.
24
Let c(v) = v**3 - v**2 + v + 20. Let m be c(0). Let i = -12 + m. Let g(o) = o**3 + 6*o**2 + 2. What is the least common multiple of g(-6) and i?
8
Suppose 20 = 5*x - x, -x = -4*r + 171. Let b = r - 26. Calculate the least common multiple of 21 and b.
126
Let g be (-2)/(-166)*(-57)/3. Let l = g - -7169/498. Calculate the common denominator of 9/66*(-196)/(-12) and l.
66
Let t be 4/(((-28)/8)/(-7)). Suppose -x - 59 = -5*i - 4*x, 0 = 4*i - 3*x - 31. Calculate the lowest common multiple of (-8)/(0 - (3 - -1)/t) and i.
80
Let n = 10923 - 1114159/102. What is the common denominator of n and 13/20?
1020
Let t = 41 - 24. Let l = t - 13. Suppose y - l*y = -3. Calculate the lowest common multiple of y and 5.
5
Suppose -2*w = -5*t - 5433, -3*t = 3*w + 2690 + 553. Let p = t - -7575/7. Let s = -1313 + 9231/7. Calculate the common denominator of p and s.
7
What is the smallest common multiple of 578 and (2/(-11) + (-105)/(-33))*2?
1734
Suppose 23*w - 30*w + 77 = 0. Calculate the smallest common multiple of (4 + -6)/((-2)/7) and w.
77
Let j = -1/2536199 - 2599603807/426081432. Let f = j - 11/168. What is the common denominator of f and -13/24?
24
Suppose 3*w - p + 465 = -w, 4*p = -w - 95. Find the common denominator of -1 - -1 - (w/18 - -5) and 9/2.
18
Let t(o) = -o**3 + 5*o**2 - 3*o + 3. Let v(k) = -k**3 + 2*k**2 + 3*k + 3. Let c be v(3). Suppose 7 + 1 = p. Calculate the least common multiple of p and t(c).
24
What is the common denominator of 3 + -7 - (-217)/18 and 0 + (-2)/8 + 3055/(-156)?
18
Let u(v) = -7 + 26 - v + 7 - 10. What is the least common multiple of u(4) and 9?
36
Suppose 3*t - 4*t - 14 = -2*m, -5*m = 4*t - 22. Calculate the smallest common multiple of m and 434.
1302
Let n = 9 + -29. Let g be (1204/(-12))/(n/105). Let y = -512 + g. Calculate the common denominator of y and 145/6.
12
Let f = 272 - 260. What is the smallest common multiple of f and 96?
96
Let a(g) = -g - 3. Let o be a(-3). Let h = 91 + -82. Let f = h - o. Calculate the smallest common multiple of 8 and f.
72
Let c = 29643/71990 - -2/1565. Find the common denominator of 115/12 and c.
276
Let o = 1465 + -70333/48. What is the common denominator of o and 27/10?
240
Let v = 1/565 - -5761/1130. Find the common denominator of v and 65/399.
3990
Let d(n) = 2 + 0*n**2 + n**2 + 8 - n**3. Suppose -2*m + 2*g - 10 = 0, -m - 5*g + 2 = -23. Calculate the smallest common multiple of 8 and d(m).
40
Let t(y) = -y**3 - 3*y**2. Let f be t(-5). Let g be 14 - 0/((-1)/(-1)). Suppose -3*l - g = -f. Calculate the least common multiple of l and 6.
12
Let q = -62921/27 - -2331. Let f = 2545/24 + -103. Find the common denominator of q and f.
216
Let d = 2/3389 + -125505/189784. Find the common denominator of d and 73/44.
616
Suppose -1 = -j + 3. Suppose -2*s + s = -4, 27 = v + j*s. What is the smallest