 n = -6321339/1304 - -38785/8. Let x = m + n. What is the common denominator of -77/18 and x?
126
Let x = -800 + 824. Let b = 4 + 2. Suppose -b*n = -186 + x. Calculate the lowest common multiple of n and 6.
54
Let r = -222393701/9175538520 + 1/4997570. Calculate the common denominator of r and 11/32.
14688
Let i = -564/2995 - -153461/143760. Let d = -3/80 - i. Let a = 307/2 - 160. Calculate the common denominator of d and a.
12
Suppose -2*q + q + 20 = 2*u, q + 16 = u. Suppose 3000 = -3*f + 6*f. Suppose -26*m + 31*m - f = 0. Calculate the smallest common multiple of u and m.
600
Let g = 209 + -147. Find the common denominator of -33 and g/(-40) + (-44)/(-55).
4
What is the smallest common multiple of (-14376)/(-28) + 78/(-182) and 684?
2052
Let c = 30505/7 + -4363. What is the common denominator of -139/48 and c?
336
Suppose 7*i + 223 + 155 = 0. Calculate the common denominator of -38/51 and 7 + (690/i - -8).
153
Let r(u) = -u**3 + 30*u**2 + 170*u - 55. Let c be r(35). Suppose 0 = 5*n + 12 + 13. What is the common denominator of n/((-50)/(-12))*c/80 and -19/22?
220
Let d(v) = -16*v**2 + 11*v + 329. Calculate the lowest common multiple of 35 and d(0).
1645
Suppose 4*r + 3667 = 23*r. Let z = 9 + r. What is the least common multiple of z and 20?
2020
Suppose 188*h = 19*h - 116*h + 66120. What is the lowest common multiple of h and 6?
696
Let f = 597662066335917/85937240230 + -6499818034/711955. Let d = -46/60353 - f. Let c = 2177 - d. Calculate the common denominator of 25/14 and c.
70
Suppose -8978 = -10*w - 7*w + 882. Calculate the smallest common multiple of w and 450.
26100
What is the common denominator of 31/126 and 253/495 + 2 - (3 - 2)?
630
Find the common denominator of (-2)/21 + 226940/(-117600) and -17/1670.
6680
Let x(y) = y**3 + 28*y**2 - 92*y + 41. What is the lowest common multiple of x(-31) and 490?
490
Find the common denominator of 13/872 and 5/(-763)*(-6 + 36/45).
6104
Let k = 16067 - 401729/25. What is the common denominator of 18/83 and k?
2075
Let w(k) = k**2 + 73*k + 1812. Calculate the smallest common multiple of 800 and w(-32).
4000
Let u = -60 + 54. Let z be 4/u + 817790/165 + -3. Let x = z + -4948. Find the common denominator of x and -29/21.
231
Let m = 59161122/481 + -122996. Calculate the common denominator of m and -25/39.
1443
Let z = 971 + -951. Let f = -79 - -135. What is the lowest common multiple of f and z?
280
Let u be (0/((-4)/(-4)))/(-2). Suppose -15*c + 20*c = u. Suppose 2*a + 13 = 5*v, -a + 16 = 5*v - c. What is the smallest common multiple of 44 and a?
44
Let l = -39287/13 + 3024. Let r = -656645/13 - -50515. Calculate the common denominator of r and l.
13
Suppose 9069*m + 223720 = 9116*m. Calculate the least common multiple of m and 2380.
4760
Suppose -3*w + 16 = -4*t, -4*t + 26 = 4*w - 14. What is the smallest common multiple of w and (72/21)/((-12)/(-42))?
24
Let w be 18/(-14) + 1 + (-28)/(-98). Suppose -3*g + 2566 = 6*x - 8*x, w = g - 5*x - 864. What is the lowest common multiple of ((-2)/(-6) - 1) + g/183 and 16?
16
Let l(y) = 13*y + 180. Calculate the least common multiple of l(-10) and (-12*(-15)/(-24))/((-3)/4).
50
Let s = 25 - 23. Let u(v) = v**2 + 4. Let k be u(s). Let z = 1 + k. Calculate the least common multiple of z and 3.
9
Let n be (2 - 240/(-9))/((-56)/11678). Let p = n - -5976. What is the common denominator of -101/28 and p?
84
Let y = -259 - -262. Suppose 91 - 7 = y*k. Let m = -37 - -53. What is the smallest common multiple of k and m?
112
Let m = 142 + -123. Find the common denominator of m*(1 - (-55)/(-30) - 0) and 11/24.
24
Let t = 38889 - 700109/18. Find the common denominator of -85/21684 and t.
65052
Let a(m) = -m**3 + 12*m**2 - 16*m + 39. Let c be a(9). Find the common denominator of -5/12 and c/4*1/27.
36
Let g = -66 + -438. Let r = g + 732. What is the least common multiple of r and 28?
1596
Suppose 4*w + 0*w + 20 = 0. Find the common denominator of (-14)/10 - (4*4 + -194 + 184) and (3 + w)*(-41)/20.
10
Let f = 94068043 - -127891264. Let u = 244155265713/1100 - f. Let c = -652/25 + u. Calculate the common denominator of c and 143/18.
396
Let o = -5094941/120 - -212034/5. Let d = o - -51. Calculate the common denominator of 69/16 and d.
48
Let n = -11/201 + 1604/335. Find the common denominator of n and 2030/(-1176) + (-1)/(-4).
105
What is the smallest common multiple of -72*7*(-180)/280 and 1080?
3240
Let r(x) = -x**3 + 12*x**2 - 27*x + 1. Let z be r(3). What is the common denominator of -57/35 and (z - (-294)/(-40)) + 2?
140
Let c(v) = -v**3 + 13*v**2 + 32*v - 37. Let a be c(15). Calculate the lowest common multiple of (-1)/10*-148 - a/35 and 171.
855
Find the common denominator of 31/6 and (-5 - (-15386)/3010)*-3*(-4)/(-6).
1290
Let d(s) = 2*s + 15. Let n be d(-3). Suppose 0 = -n*y - 4 + 49. What is the common denominator of -1 + (y/55)/(2/(-10)) and -25/4?
44
Suppose -4*h + 67 + 17 = -4*j, 0 = 3*j - 5*h + 63. Let o be (-9)/j + 3186/14. Find the common denominator of (o/(-3)*2/(-12))/(-12) and -25/36.
36
Let s(c) = 23*c + 161. Let k be s(-6). Calculate the common denominator of 2/(-48)*(25 - k) and -131/18.
36
Suppose -3*z = -5*v + 3526, 4*v + 4712 = -4*z + 8*v. Let o = -1174 - z. Suppose -6*p = -3*p - 60. Calculate the least common multiple of o and p.
40
Find the common denominator of 45/493 and (-54)/18 - (-6755)/2295.
13311
Suppose 3*o - 1245 = 9. Suppose 0 = -3*k + o - 28. Let r = -112 + k. What is the lowest common multiple of 8 and r?
72
Suppose 10 = 4*t + 4*y - 10, 14 = 4*t + 2*y. Let k be 24826/(-633)*(23/(-6) + 4). Let o = k - 4/211. Find the common denominator of t and o.
9
Let o = -53313/2 + 7677209/288. Calculate the common denominator of o and 41/8.
288
Suppose 0 = 5*c + 10, 3*d = 2*d - c + 3. Let j(m) = -d - 6*m + m + 6*m. Calculate the smallest common multiple of 41 and j(6).
41
Let w be (-4)/14 - 9801/25795. Let i = -9/67 + w. What is the common denominator of -91/58 and i?
290
Let l = 42/863 + -34969/310680. What is the common denominator of -89/648 and l?
3240
Suppose -73 + 1 - 60 = -11*v. What is the lowest common multiple of 116 and v?
348
Suppose 6*c - 75 - 10 = 11. Let l(x) = -x**3 - 7*x**2 - 6*x - 10. What is the lowest common multiple of l(-7) and c?
32
Calculate the smallest common multiple of 12 and ((-4971)/(-3))/((-111)/(-1332)).
19884
Let p = 1 + -4. Find the common denominator of -53/18 and ((-3315)/(-88))/p + (-12)/(-66).
72
Let r be -1 + (-21329)/21336 - (-8)/4. Let l = r + 58891/112776. Find the common denominator of l and -7/10.
1110
Suppose 60*t - 21951 = 1269. What is the lowest common multiple of 1 and t?
387
Let p(t) = 1863*t + 37. Let i be p(9). Let w be (-11492)/(-33)*(-386)/(-8). Let y = i - w. What is the common denominator of -137/24 and y?
264
Let h be ((-6)/(-7))/3 - 4196/(-14). Let d be -6 + 2416535/h + (-1)/5. Let s = d - 8043. What is the common denominator of s and -37/24?
24
Let v be 43/(((-4)/(-11))/(-4)). Let m be 4 - (1 + v/(-181)). Let i = -25709/3258 - m. What is the common denominator of -7/18 and i?
18
Let f = -14 + 19. Suppose 0 = -5*q - f - 175. What is the common denominator of q/(-22)*-1*(-3)/12 and -35/16?
176
Find the common denominator of (636/(-40))/((-81 + 10)*(-36)/(-20)) and -7/6.
426
Let z be 625688/(-40) + 12/10. Let g = z + 563129/36. Find the common denominator of g and -41/12.
36
Let a(q) be the third derivative of q**6/120 + q**5/20 + q**4/4 + 4*q**3/3 + 73*q**2. Calculate the common denominator of -21/113 and a(-3).
113
Let q = 55101/13963208 - 238/6739. Calculate the common denominator of -75/16 and q.
4144
Suppose w - 58 = -5*u, -4*u + 29 = 2*w - 15. What is the common denominator of (0 - 3) + ((-340)/(-48) - 2) and (-1)/4*(-648)/u?
12
Let s(k) = -3*k**3 - 16*k**2 - 5*k + 7. Let v be s(-8). What is the common denominator of 13/24 and (-6)/(-21) - v/(-420)?
120
Suppose -5*i + 20 = 3*z + 2*z, i = 4*z - 16. Let h(a) = 9*a + z*a**2 + 9 - 3*a - 2*a. Calculate the least common multiple of h(-3) and 4.
132
Let l(h) = 3*h**2 + 15*h - 32. Let y be l(-8). Suppose 0 = -4*s - 3*u + 102, 0*u = -2*s + 4*u + y. What is the least common multiple of 24 and s?
24
Let h be 592/24 + 3/9. Suppose -h*r + 2975 - 650 = 0. Calculate the least common multiple of 3 and r.
93
Calculate the lowest common multiple of (-13