et u(y) = -5*y - 10. Let m be u(-9). Suppose 2*f = -3*f + m. Calculate the smallest common multiple of z(12) and f.
56
Let a(c) = -c**3 + 10*c**2 + 25*c + 10. Calculate the smallest common multiple of a(12) and 9.
198
Let j(g) = -3*g**2 - g**3 + 0*g**3 - g**2 + 7*g - 6 + 0*g**3. Let q = 92 + -80. What is the smallest common multiple of q and j(-6)?
24
Suppose 2*b = 3*a - 6, 4*a - 3 = 5*b - 2. Let k be -3*(a - 9)/5. What is the common denominator of -77/16 and (-2)/k*33/20?
80
Suppose -4*a - i = -9*a + 85, 110 = 5*a + 4*i. Find the common denominator of (9/810)/(-1*a/2085) and 99/4.
108
Suppose 9 = 3*y, 4*y = 133*v - 129*v - 44. Let n = -10 + -4. Calculate the lowest common multiple of (-12)/(-2)*n/(-6) and v.
14
Let z(q) be the first derivative of -q**3/3 - 7*q**2/2 - 11*q + 6. What is the least common multiple of z(-3) and 5?
5
Suppose -4*m = -m + m. Suppose 0 = 4*y - s - 14, -4*y + 5*s - s + 8 = m. Calculate the smallest common multiple of 10 and y.
20
Suppose 5*p + 5*k + 3 = -7, -5*p - 10 = -k. Find the common denominator of 28/3 and (p - (-4)/40) + 3.
30
Suppose -4*c = -264 - 128. Calculate the lowest common multiple of 4 and c.
196
Suppose 0 = -5*m - 7*f + 3*f + 47, -5*m + 2*f + 29 = 0. Suppose -5 + m = w. What is the smallest common multiple of 9 and w?
18
Let d = 13 + -12. Let v(h) = -3*h**2 - 2*h - 1. Let j be v(-2). What is the smallest common multiple of (j/(-6))/(d/12) and 16?
144
What is the common denominator of (69/(-168))/((-3)/(-2)) and -6/91?
1092
Calculate the least common multiple of 8 and (-262)/(-11) + ((-120)/132)/(-5).
24
Find the common denominator of ((-230)/(-28) + 0)/(-2) and -16/21.
84
Let y = 132 + -126. Calculate the smallest common multiple of 14 and y.
42
Suppose 2*n + 3 = 17. Calculate the common denominator of (16 - 1)*10/21 and (-6)/(-3) + n/(77/(-38)).
77
Let y = -1095 + 2263/2. Let c = -611/6 - -376/3. Calculate the common denominator of y and c.
2
Suppose -50 = 4*f + 5*s, f - 2*s + 10 = -9. Let d be ((-82)/f)/(4/(-6)). Let k = -387/10 - d. What is the common denominator of -50/7 and k?
14
Suppose 4*b = -d + 11, -5*b - 1 = -2*d - 5. Let w be b*(8823/7560)/(-1). Let c = w + -1/63. What is the common denominator of c and -101/14?
140
Calculate the common denominator of 3*1/6 + 83/60 and -117/50.
300
Let p = 52/45 + 251/180. What is the common denominator of -31/12 and p?
60
Let a be (4 - 2)/(-1)*(-6 - -1). Let f(t) = 2*t**2 - 6*t. Calculate the smallest common multiple of a/4*24/30 and f(4).
8
Suppose -d = 3*d + 2*b + 20, 3*b = -5*d - 24. Calculate the common denominator of 23/7 and ((-390)/25)/d*-2.
35
Suppose 19*s - 17*s - f - 17 = 0, -44 = -4*s + 4*f. Let i = 8 - -7. Calculate the lowest common multiple of s and i.
30
Suppose 2*c - 5*k - 8 = -0*k, -k = -3*c + 38. What is the lowest common multiple of 98 and c?
98
Find the common denominator of ((-4)/(-5))/((-2)/((-1440)/2142)) and -67/28.
476
Let o be (8/14)/(1/7). Calculate the least common multiple of 10 and o + 6/(-6 + 3).
10
Let r = 53 - 52. Let o(p) = 3*p**2 - 5*p + 2. Calculate the smallest common multiple of o(3) and (-27 - r)*(22/(-4) + 5).
14
Let c = 597 + -427. What is the least common multiple of 15 and c?
510
Let x be -3*(42/9)/(-7). Suppose 0 = x*n - u - 13, -2*n + u = -5*n + 7. Suppose -48 = -n*w + w. Calculate the least common multiple of 12 and w.
48
Let d(h) = h**3 + 6*h**2 - h + 6. Suppose 0 = -7*l + 8*l - 6. Let v be (-35)/l - 2/12. Calculate the least common multiple of 8 and d(v).
24
Let s = 13247/4 - 3295. Find the common denominator of 5/(-102) + 4/(-24)*2 and s.
68
Suppose -6529 = i + 3*i - 3*m, -2*m = 4*i + 6534. Let j = 3171/2 + i. What is the common denominator of j and 35?
2
Suppose 3*c = -3*q - 4 - 5, -2*c - 3*q - 10 = 0. Calculate the least common multiple of c and 10.
10
Suppose -16 = -r - 3*r. Suppose 0 = -2*l - 0*g + 4*g + 8, -r = -l - 4*g. Calculate the lowest common multiple of 9 and l + -2*(-12)/8.
63
Find the common denominator of 828/150 - 2 - (5 - 0) and 87/4.
100
Let f = 24 - 40. Let v be (97818/40)/((-8)/f). Let o = v + -4899. Calculate the common denominator of -5/16 and o.
80
Suppose 43*y - 5052 = 7074. What is the least common multiple of y and 470?
1410
Let x be 161/28 + (-6)/8. Suppose 15 = x*b, -4*r - 4*b = 6 - 50. What is the least common multiple of r and 4?
8
Suppose -2*k = -0*k - 94. Let s = k - 43. What is the smallest common multiple of s and 12?
12
Let a(k) = 3*k**2 - 10*k + 9. Let b be a(7). Let y = -35 + b. Suppose -y = -5*h - 1. Calculate the smallest common multiple of h and 12.
60
What is the smallest common multiple of -1*((7 - (-1 - -45)) + 5) and 288?
288
Let a = -6007 - -312387/52. Find the common denominator of a and 33/130.
260
Let x be (-2)/(-4) + (-375)/(-10). Suppose -2*i + i + x = 0. Suppose -2*v - 3*j = -0*j - 10, 5*j = -v + 12. What is the lowest common multiple of v and i?
38
Find the common denominator of 9/14 and (-1)/(114/(-7))*(-4410)/1078.
2926
Let f = 199481/18 + -11075. What is the common denominator of -13/30 and f?
90
Let a = -450322811/152745 + 2/152745. Suppose 2*d - 5926 = 2*g, 2954 = d - 0*d + 2*g. Let j = a + d. Calculate the common denominator of 37/10 and j.
10
Suppose -12*c = c - 390. Calculate the lowest common multiple of c and 330.
330
Let u be -1 + 1 + (-5 - -9). Suppose 0 = u*g - 0 + 220. What is the common denominator of -61/8 and 10/g + (-941)/88?
8
Let o(d) = -d**2 - 10*d + 21. Let f be o(-11). What is the common denominator of 36/165*4/(-8)*f and (-2)/(-14)*19*3?
77
Let h = 121973/36 + -3389. Calculate the common denominator of ((-639)/54 - -3)*(-1)/(-3) and h.
36
Suppose 0 = -z + 3*i + 2 - 0, -5*i = 3*z - 48. Calculate the smallest common multiple of z and (-4)/(-3)*(-18)/(-1 - 2).
88
Let a = -328613 - -141303663/430. Calculate the common denominator of 75/4 and a.
860
What is the common denominator of 21/50 and (2/(-20))/(14/(-1925))?
100
What is the smallest common multiple of 90 and -3 + 24 - (6 - 36)/5?
270
Let k = -455 + 566. Calculate the lowest common multiple of k and 12.
444
Calculate the common denominator of 111/88 and -3 - (-2 - 2) - 5129/5520.
2640
Let v = -204 - -220. Calculate the smallest common multiple of v and 336.
336
Let q = -19 + 0. Let o = q - -23. Suppose h + 2*s - 18 = 6*s, -o*h - 5*s = 12. What is the smallest common multiple of 20 and h?
20
Suppose 3*n - 2*o = 296, o = -n - 2*o + 117. Suppose -4*b + n = -0*y + 5*y, 4*y = -2*b + 84. Calculate the lowest common multiple of y and 12.
132
Suppose -2*u + 4*x = -12, -2*u - 3*x - 1 - 1 = 0. What is the common denominator of -2 - 5/(30/(-9)) and (-1476)/(-660) + u/5?
22
Let x be ((-84)/(-246))/(1 - 2). Let w = x - 927/287. Calculate the common denominator of (1 + -2)*(-106)/6 and w.
21
Let d be (-1)/(75/6)*290/7. Let t = d - -1501/210. Find the common denominator of -33/5 and t.
30
Find the common denominator of 14*(-25)/(-20) + 5 and 116/40 - 1/(-4).
20
What is the common denominator of 900/(-896) + (-4)/(-28)*2 and 143/6?
96
Let j be (-3)/9 - 76/(-12). Let w be 92/(-24) + (-1)/j. What is the lowest common multiple of 1/4 - 15/w and 7?
28
Suppose 5*a - p - 64 = 0, p = -4*a + 5*p + 48. Let q = a + -5. What is the least common multiple of q and 8?
8
Let f = 2049/4 - 519. Let a = -46/85 + -6361/340. Calculate the common denominator of f and a.
4
Suppose 0 = 5*j + 20, 4*g + 12 = -0*g + 2*j. Let t be (-1)/g*(-23286)/(-12). Let o = t - 763/2. What is the common denominator of o and 16?
5
Let c(p) = -3*p - 2*p + 0 + 0. Let h = 1 + -3. Calculate the least common multiple of c(h) and 1.
10
Let o = -34 - -55. Let x = 23 - o. Suppose 4*g - 4*v - 26 + 6 = 0, -x*v - 30 = -4*g. What is the lowest common multiple of g and 22?
110
Let q = 50 + -32. Let f = q + -10. Calculate the smallest common multiple of f and 11.
88
Let m be (-58)/12 + 3/(-18). Let b be (0/m)/((-2)/(-2)). Calculate the common denominator of 0 + b - (-3)/8 and -52/11.
88
Suppose 5*h = -38 - 32. Let q = 17 + h. Suppose q*i = -2*k - 3*k + 30, -5*i - 6 = -k. What is the least common multiple of 10 and k?
30
Let q = -31 + 71. Calculate the smallest common multiple of 18 and q.
360
Suppose -j = -3*j + 8. Calculate the common denominator of -6 - ((-2)/(-5))/((-96)/3540) and ((-1)/(-5))/(j/(-102)).
20
Let q = 94 - 91. What is the common d