 + 47 + 31. Let v(y) = 2*y**3 + 76*y**2 + y + 42. What is the lowest common multiple of j and v(-38)?
44
Suppose -23*l - 2*o = -20*l - 892, 0 = l + o - 299. What is the smallest common multiple of 231 and l?
3234
Let l be ((-1)/(-1))/(12/(-1116)). Let t = -135 - l. Calculate the common denominator of -75/22 and (4/t)/(84/(-343)).
198
Let a = -81 + 87. Find the common denominator of 58/7 and (-2842)/441 + ((-4)/a)/2.
63
Let l(s) = s**2 + 5*s - 23. Let g be l(-8). Find the common denominator of (g/(-9) - 0)*(2 + -4) and 2/27.
27
Calculate the common denominator of -15 and ((-7)/2 - -1)*(-66)/(-370).
74
Suppose 7*y - 3*y = 0. Let b be ((-5)/((-15)/2))/(6/45). Suppose b*m - 35 - 25 = y. What is the smallest common multiple of m and 12?
12
Let p(m) = 2*m**2 - 20*m - 18. Let d be p(-14). Let v = 4591/2 + -2338. Calculate the common denominator of d/(-18)*6/28 and v.
14
Suppose 5*w - 34 = 33*z - 29*z, 0 = 4*w - 4*z - 28. What is the lowest common multiple of w and 12?
12
Let p(c) = -c - 2. Let n be p(-3). What is the common denominator of 70*n*(-4)/32 and (-2)/24*83 + 0?
12
Let x(s) = -s**2 - 15*s + 5. Calculate the smallest common multiple of x(-15) and (-1)/(-2)*(11 + -3).
20
Let u = 4128/7 - 593. Find the common denominator of (60/(-8))/(33/(-4)) and u.
77
Let t = 52 + -22. Let m be 6/2*10/t. Suppose 0 = -x + 4, 0 = -n + x + x - m. What is the lowest common multiple of 6 and n?
42
Let p = 703 + -7346/9. Let l = p - -113. Let k = 194 - 1355/7. Calculate the common denominator of k and l.
63
Suppose 0*v = 2*v + 2. Let l(t) = t**2 + t + 1. Suppose 6 = -4*o + 7*o, 0 = 5*r + 4*o - 33. What is the least common multiple of l(v) and r?
5
Suppose u - 14 = 4. Suppose 0 = -4*d + 9*d + 30. Let n = u + d. Calculate the lowest common multiple of n and 3.
12
Let i(h) = 13*h**2 - 63*h - 4. Suppose -140 = -5*j + 5*t, -6 + 1 = t. What is the smallest common multiple of j and i(5)?
138
Suppose 3*m = 2*m. Suppose y - 13 + 2 = m. Calculate the smallest common multiple of y and (-14)/70*(-10)/2.
11
Let u(r) = -2*r**2 - 6*r - 4. Let v be u(-5). Let a = -21 - v. Suppose -2*g = 4*b - 15 + a, 3*g - 4 = b. Calculate the least common multiple of 1 and g.
2
Let q = 729 - 720. Calculate the least common multiple of q and 204.
612
Suppose -82 = n + 2*s, -3*n + 5*s - 22 = 257. Calculate the common denominator of -43/16 and 11/n - 310/48.
48
Let v(x) = -19*x**2 + 3*x + 4. Let j be v(5). What is the common denominator of 2/(-2) + j/(-54) and -37/18?
18
Suppose 28*p - 32*p - 5*m = -267, 5*p + 5*m = 330. What is the lowest common multiple of p and 24?
504
Let a be -4*(1 - 2) + 491/(-160). Let b = a + -129/32. Find the common denominator of b and -2*(2 + (-254)/(-24)).
30
Let d = -551/39 - -19/13. What is the common denominator of d and -1*5/70*198/4?
84
Suppose 0 = -4*a - 8, -5*z - 69 + 137 = -4*a. What is the least common multiple of z and 390?
780
Let h = -6 + 16. Let c = -745 - -767. Calculate the least common multiple of c and h.
110
Suppose -2*d = -5*i + 179, -4*d = 3*i - 182 + 59. Calculate the lowest common multiple of i and 5.
185
Let b be ((-6)/(-8))/((-11)/(-44)). Suppose b*n + 15 = 27. What is the least common multiple of 6 and n?
12
Let c = 175 + -105. Calculate the smallest common multiple of 51 and 14/4*300/c.
255
Let b(g) = g**2 - 12*g + 6. Suppose -3*n + 4*n - 10 = 0. Let i be b(n). Find the common denominator of -143/6 and ((-206)/i)/(18/21).
6
Let r(i) be the first derivative of -i**4/4 + i**3/3 + 12*i + 23. Let u(j) = -j + 6. Let l be u(6). Calculate the least common multiple of r(l) and 14.
84
Suppose s + 7 - 2 = 0. Let o(w) = -3*w - 4. Let z be o(s). Suppose -4*g = -9 - z. Calculate the lowest common multiple of 11 and g.
55
Let a(q) = 6*q - 33. Let p be a(6). What is the least common multiple of (4 - p)*-2 - -8 and 7?
42
Let s = -25 + 57. What is the lowest common multiple of s and 24?
96
Let b = 177513/16 - 11100. Let m = -16252 + 227627/14. What is the common denominator of m and b?
112
Suppose -3*i = -4*t - 4, 5*i + 24 = -0*i - t. Calculate the least common multiple of i/(-10) - (-232)/20 and 36.
36
Suppose -u - 3*u = -5*t - 14, -t - 16 = -3*u. Let d(b) = b**3 - 8*b**2 - b - 14. Let v be d(7). Let j = v + 80. What is the lowest common multiple of u and j?
30
Let g = -61041 - -5615835/92. Find the common denominator of g and -99/40.
920
Let m(f) = -4*f + 26. Calculate the lowest common multiple of 16 and m(6).
16
Let u be 1*(1 - 0)/(7/(-707)). Let j = -97 - u. Calculate the least common multiple of j and 4.
4
Suppose 0 = 3*g + 2*h - 95, 4*g - 145 = 2*h - h. Calculate the lowest common multiple of 40 and g.
280
Suppose 2*v - 38 = 2*j, -3*j - 3 - 6 = 0. Let h be (v/56)/(24/12838). Let u = 155 - h. Calculate the common denominator of 55/4 and u.
12
What is the common denominator of (2/3)/((-9500)/5550) and 93/40?
760
Let z(n) = -n**2 + 17*n - 8. Let q be z(18). Let k = q - -12. What is the least common multiple of (11/(-22))/(1/k) and 11?
77
Let n(a) = -a**2 + 16*a - 34. Calculate the least common multiple of 14 and n(13).
70
Let z = 37487/13530 + -179/66. Let t be (-13362)/(-2870) - (-14)/7. Let m = z + t. Find the common denominator of m and -36.
7
Let y = -93 + 133. Suppose y*j = 44*j - 64. Calculate the lowest common multiple of j and 20.
80
Let s = 133/94 - -4/47. Let b = s + -5/3. Calculate the common denominator of -61/26 and b.
78
Calculate the common denominator of ((54/(-480))/3)/((-132)/(-304)) and 85/24.
1320
Find the common denominator of 256/280 - 2/(-7) and 2/(-4) + (-95)/8.
40
Suppose 0 = 3*s + 2*t - 7 + 51, -4*t + 8 = 0. Let w be ((-6)/8)/(1/(-4)). Find the common denominator of (-244)/s - 12/w and -23/8.
8
Suppose -8*f + 20 = -3*f. Suppose -2*s - 9 + 29 = -3*p, -p = 4. What is the least common multiple of s and f?
4
Let g = 1779 + -1771. Calculate the lowest common multiple of g and 56.
56
Suppose 4*y = 6*y - 2504. Calculate the common denominator of -27/22 and 4/14 - (y/168)/1.
66
Suppose -3*k + 7*k = 92. Let u = -21 + k. Let q(i) = -i**3 + 2*i**2 + 4*i - 4. Calculate the least common multiple of q(u) and 2.
4
Let n be (-9205)/(-40) - (-2 - 1). Let m = -234 + n. What is the common denominator of m and -38/7?
56
Suppose 5*q + 11 = 3*n, -3*q = -2*q - 4*n + 9. What is the common denominator of ((-6)/(-20))/((-72)/(-220)) and q/6 + 5/(-15)?
12
Suppose -4*f - 32 = 4*f. What is the common denominator of 81/8 and f/(-38) - (-4812)/1216?
16
Find the common denominator of (-6)/(-38)*(-11315)/1860 and -37/95.
380
Let h(d) = 3*d + 43. What is the lowest common multiple of 132 and h(-14)?
132
Find the common denominator of 89/28 and -4 + 3*(-50)/(-168).
28
Suppose 3*x - 15 = 15. Suppose 2 = d - 0. Calculate the least common multiple of (-240)/(-25) + 4/x and d.
10
Let r be (-3)/((-10)/(-4) + -2). What is the common denominator of r/33 + (-554)/220 and 639/216 + -2 + 5/2?
120
Let g = -10071940 + 1107899451/110. Let r = -637/5 - g. What is the common denominator of r and (-475)/15*3/(-8)?
88
What is the common denominator of (-6)/(-135)*(1 - (-1 + -12)) and 82/63?
315
Let x = 109 + -111. What is the common denominator of 0/x + (676/(-132) - -4) and -13/8?
264
Let n = -6795/7 - -968. What is the common denominator of -43/108 and n?
756
Suppose y + 4*y = 4*m - 109, y - 3*m + 24 = 0. Let u = 32 + y. Calculate the lowest common multiple of u and -1 - (0 + 1 + -3).
11
Let r(x) = -4*x**2 + 51*x + 108. What is the lowest common multiple of r(14) and 20?
380
Suppose 11*g - 12*g + 3 = 0. Suppose -3*w + 10 = -w. Let k = w - g. Calculate the least common multiple of k and 14.
14
Suppose -3*p - 27 = -k, -1 = k + 2*p - 18. Calculate the lowest common multiple of k and 18.
126
Calculate the common denominator of 117/10 and 2*(-270)/(-84) - 4.
70
Suppose 117 = 5*b + 37. Let q be -2*(-2 - b/(-4)). What is the least common multiple of 1 and (-6)/q*(-24)/(-36)?
1
Let u = 3650/1067 + 65/97. Let k = -15 + -348. What is the common denominator of (0 + k/36)*2 and u?
66
Suppose -c + 0*r - 3*r = -7, -89 = -5*c + 3*r. Let x = 18 - c. Suppose 3*p + x*p + 76 = 4*t, 5*t - 82 = 3*p. Calculate the smallest common multiple of t and 9.
126
Let x = 306727/18 - 17033. Let k = -4998 - -119903/24. Calculate the common denominator of x and k.
72
Let u = 41 - 29. Let z = 22104 + -22072. Ca