0
Suppose -4*p + 2*p = 4*t - 12, 5*t - 2*p = 33. What is the common denominator of (915/(-10) - -3)*t/810 and -149/6?
108
What is the common denominator of (-14 - -17) + 1844/(-576)*1 and 19/24?
144
Let s(c) = 4*c**2 + 18*c - 6. Let k be s(-5). Suppose 0 = -k*o + 100 - 88. What is the least common multiple of 24 and o?
24
Let v be -52 - ((-2)/2 + 2). What is the common denominator of (v/(-742))/(2/(-113)) and 101/12?
84
What is the common denominator of (-185)/(-37) + (-43030)/8820 and 59/98?
882
What is the least common multiple of (-1*1/2)/((-495)/123750) and 45?
1125
Suppose 5*f = 5*l - 3 + 13, 0 = -5*f. Let n(c) = 2*c**2 - 23*c - 44. Calculate the least common multiple of 4 and n(l).
20
Suppose -4*j - 5*m = -1638 + 11395, j - 4*m + 2413 = 0. Let v be (-1)/(-2) + -2 - j/(-24). Let p = v + 96. Find the common denominator of 27 and p.
8
Suppose 0 = 2*v - 5*j - 21, -2*v - 4*j = 5 - 17. Suppose -3*u + 0*u - r = 11, -3*u + 3*r = 3. Calculate the smallest common multiple of v and (0 + u + 3)/2 + 1.
8
Let j = -22231 + 22285. Calculate the least common multiple of 579 and j.
10422
Let x be ((-6)/(-8))/(19/988). Find the common denominator of (-46)/x*1 - -3 and (3/(-2))/((-12)/9).
312
What is the least common multiple of 2 + (-1)/1 - (4 - (-90)/(-2)) and 14?
42
Let i be (-8)/64 - 1201158/146960. Let b = 3/1837 - i. Find the common denominator of b and -83/20.
20
Suppose -19*z - 808 = -27*z. Suppose 0 = -2*y + 2*h + 152 - 48, 0 = -2*y + 3*h + z. Calculate the least common multiple of 7 and y.
385
Calculate the common denominator of ((-1590)/(-105) + -15)/(30/1239) and (-4)/18 + (-309)/(-324).
540
What is the common denominator of -47/36 and 4119/11700 + (-256)/960?
11700
What is the common denominator of ((6/(-20))/3)/(1020/8550) and 21/248?
4216
Let n = -301/13 + 467/78. Let m be (-5)/(135/18) - (-13)/(-3). What is the common denominator of (290/21)/m - 12/(-18) and n?
42
Let r = 2/167753 - -10231861/89915608. Calculate the common denominator of 20 and r.
536
Suppose -468 = -8*w - 372. Calculate the least common multiple of w and 98.
588
Let o be (12/(-54)*-9)/((-4)/498). Let g = 19457/78 + o. What is the common denominator of g and 1/33?
858
Let o = 188 + 848. Find the common denominator of 7 + -2 - 6006/o and 45/8.
296
Let g = 3 + 5. Suppose 0 = 5*p - 80 - 80. Suppose -p*z + 37*z = 35. Calculate the lowest common multiple of g and z.
56
Let n = 314681/16 - 19660. Let m = n - 2231/240. Find the common denominator of 1/75 and m.
75
Let v(s) = s - 3. Let z be v(0). What is the common denominator of (-3480)/320 - (-2)/4 and ((-57)/4)/((-3)/z)?
8
Let r = -1705540189/30 + 56862027. Let o = r + -10686. Find the common denominator of 80/21 and o.
210
Let b be 114550/38136 + (4 - 1 - 7). Let q = 25/908 - b. What is the common denominator of q and -53/150?
1050
Let w(q) = q**2 + 7*q - 23. Let p be (-12)/(-2) - 20/10. Suppose -l - p*l = -15. Calculate the least common multiple of l and w(-11).
21
Let p(y) = -34*y + 137. Let l be p(4). Calculate the smallest common multiple of 18 and 5004/695 - (l + 8/(-10)).
126
Let p be 12/130*(-130436070)/(-276). Let n = 43624 - p. Find the common denominator of n and 3/10.
2990
Let p = -4/10987 + -203409/14678632. What is the common denominator of p and -59/8?
1336
What is the lowest common multiple of 322 and 5/((-150)/12)*1035/(-1)?
2898
Calculate the common denominator of 11/3492 and (-4)/(-150)*(-53110)/175376.
17460
Calculate the lowest common multiple of 2*((-60)/(-45))/((-8)/(-30)) and 1360.
1360
Let x be (-4600)/85 + 5/((-425)/(-10)). Let c = -15 - -27. Calculate the least common multiple of ((-6 + 1)/1)/(x/432) and c.
120
Let a = 287 + -254. Let u(v) = 2*v**3 + 5 - 2*v**3 - 3*v**2 - 2*v**3 + v**3. Calculate the least common multiple of u(-4) and a.
231
Let g = -5450/33 - -1692/11. What is the common denominator of g and 258/16*(-28)/63?
6
Let a = 43073/7539 - -1/1077. Let w be 506906/(-224) - (-6)/21. Let k = w + 2262. Calculate the common denominator of k and a.
112
Find the common denominator of (-16 - -31) + (-58009)/3822 and 19/12.
1092
Let f(a) = -2*a**3 - 72*a**2 - 78*a - 64. Calculate the lowest common multiple of 1548 and f(-35).
9288
What is the common denominator of (40/50 - (1 + (-536)/30))/(-1) and 11/278?
834
Let x = -257 + 264. Let r(b) = 16*b - 94. What is the least common multiple of 6 and r(x)?
18
Suppose 5*s + 442 = 6*s. Calculate the common denominator of 3 - (s/88 + 0/3) and 41/20.
220
Let u(z) = 390*z + 3186. Calculate the lowest common multiple of u(-8) and 440.
1320
Let s be 115/(-161) - 4/14. Let b = -2/673 + 35010/4711. What is the common denominator of b and s + (-7 - (-1296)/99)?
77
Suppose 4*u + 17*a = 22*a - 11892, a = -4*u - 11892. Let c = -7/37720 + 112716797/37720. Let b = u + c. Calculate the common denominator of 50/9 and b.
36
Let x(r) = -131*r**3 + 3*r**2 + 2*r + 1. Let s be x(-1). Let y = 172 - s. Calculate the least common multiple of 24 and y.
312
Calculate the smallest common multiple of 384 and -1*(-632 + 7 + -17 + 2).
1920
Let s = 2509/1012 + -19/92. Suppose -5*q + 110 = -m - 27, -m + 3*q = 135. Find the common denominator of s and (7 - 6) + m/51.
187
Let n = 20780/27 + -2764079/3591. Let s = 4/63 - n. Find the common denominator of s and (-128)/36 - (-15)/(-135).
57
Let h = -1/6875 + 206299/336875. Find the common denominator of (16/126)/((-3132)/96309) and h.
147
Let b(d) = 3*d**2 - 5*d - 4. Let y(w) = -799*w - 4792. Calculate the least common multiple of b(-3) and y(-6).
38
Let w(y) be the first derivative of y**4/4 + 7*y**3/3 - y**2/2 + 11*y - 10. What is the least common multiple of 66 and w(-7)?
198
Suppose 0 = -4*l - 5*x + 55 + 93, 3*l - 88 = 2*x. Let q = -19/117 + -9173/1872. What is the common denominator of q and 12/(-33)*(1 + (-316)/l)?
176
Let d(t) = 37 - 3*t + 21 - 15 + 12*t - 2*t. Calculate the least common multiple of d(27) and (-3)/(-2 + (-10)/(-6)).
2088
Suppose 0 = -4*y - 2 - 6, 4*y = 5*b - 4458. Find the common denominator of (645/80 - 8)*(-904)/(-10) and (4/(-40))/((-12)/b).
60
Suppose 8 = -4*k, -y - k + 2 + 16 = 0. Let b(x) = x**3 + 3*x**2 - 3*x - 1. What is the lowest common multiple of b(-3) and y?
40
Suppose 14934*m - 14920*m - 2646 = 0. What is the least common multiple of 63 and m?
189
What is the lowest common multiple of 184 and 2 + 1452/8 + ((-75)/10 - -8)?
184
What is the smallest common multiple of 640 and (-1)/(18/(-3448)) - 1716/(-3861)?
1920
Let m = -321 - -408. What is the smallest common multiple of m and 177?
5133
Suppose -5*a + 157 = 2*m, 49*m = 44*m - 5*a + 445. What is the lowest common multiple of 87 and m?
2784
Let w(a) = -a**2 + 8*a - 8. Let z be w(6). Suppose 3*o + 3*m - 8*m = 21, o - 7 = -4*m. Calculate the lowest common multiple of 24 and o + (4 - (7 + z/4)).
24
Let p(q) = 15*q**2 - 58*q + 14. Let a(i) = 42*i**2 - 173*i + 40. Let k(d) = -4*a(d) + 11*p(d). Calculate the least common multiple of 5 and k(17).
45
Let d be 2618/660 - (-4)/(1 - -1). Let c = -7/15 + d. What is the common denominator of c and -77/2?
2
Let j be ((7 - 7) + 0 + -1)*3. Calculate the common denominator of 33/2 and j/6 + 260/(-216)*-1.
54
Let j be 13/(-39)*7095334*(-2)/88. Let c = 53751 - j. Calculate the common denominator of c and -127/60.
660
Suppose -3*x + 3*s + 1074 = 0, -4*x + 1444 = 75*s - 73*s. Calculate the lowest common multiple of 80 and x.
720
Let v = -8 + 4. Let o = -490 - -485. Let j = v - o. Calculate the lowest common multiple of j and 10.
10
Let w(j) = -j**2 + 9*j + 167. Let o be w(16). Find the common denominator of (-50)/(((-672)/(-100))/((-2)/o)) and -87/22.
462
Find the common denominator of (-40)/(-4) - 4600/960 and -13/3.
24
Calculate the common denominator of -6*7/(-104)*2200/(-1200) and 1/1040.
1040
Let g = -222439/6 + 37070. What is the common denominator of 61/4168 and g?
12504
Let n = -2700177/106 + 25473. Calculate the common denominator of 31/424 and n.
424
Let y be 92/207 - 23/(-9). Suppose 3*z - 36 = -y*u, 2*u = 5*z + u - 60. Calculate the lowest common multiple of z and -3 - 44/8*-2.
24
What is the common denominator of (29/(-1055))/(48/(-216) + 51/(-135)) and 29/4?
2532
Let r(p) = p**2 + 5*p - 18. Let d be 38/114 - ((-50)/3)/(-2). Let i be r(d). What is the common denominator of -33/14 and ((-2)/(-12))/((-8315)/(-1395)