j**2 + 1. Let g(t) = -3*t**2 - 7*t + 4. Let p(o) = g(o) - 2*s(o). Calculate the least common multiple of p(-7) and 20.
20
Calculate the common denominator of -29/2 and 154/(-12)*(-3)/(-10).
20
Suppose 202 = 15*p - 83. Calculate the common denominator of -7/6 and p.
6
Suppose 0 = -2*r - 2*r + 120. Let z = 20 + r. Let q = -1082 - -9748/9. Find the common denominator of z and q.
9
Let s = -2 + 42. Let y = -8465/1179 - -140/131. What is the common denominator of y and (6/s)/((-6)/295)?
72
Let y = 14 + -10. Suppose 4*m = -y*b + 88, -b - 3*m + 102 = 4*b. Calculate the lowest common multiple of b and 8.
72
Suppose 0 = 5*h, 4*h + 9 = 2*u - 5*u. Let b be -3*7/u + -1. Suppose 0 = q - 5*n + 8, -q - 2*n + b = -0*n. Calculate the lowest common multiple of q and 5.
10
Let r(u) = u**2 - 5*u - 8. Let n be r(6). Let g = -37 - -110/3. Calculate the common denominator of 870/9*n/8 and g.
6
Suppose -4*j = -5*j + 4. Suppose j*i - 4 = 4. What is the lowest common multiple of 10 and i?
10
Suppose 0 = 4*c + c + 46875. Let k = c - -187547/20. Calculate the common denominator of 57/20 and k.
20
Suppose 0*d = 3*d - 24. Let s(y) = -y**3 + 7*y**2 + 8*y + 6. What is the least common multiple of 2 and s(d)?
6
Let b = -284 + -180. Let n = -5677/12 - b. Calculate the common denominator of 41/4 and n.
12
Suppose o = -m - 110, -2*o + 27 = 4*m + 247. Let p = o + 762/7. What is the common denominator of -95/6 and p?
42
Suppose 3*p - 20 = 10. What is the lowest common multiple of p and 22?
110
Let w = -331/112 + 37/16. Let y = 27 + -15. What is the common denominator of w and (-4)/y*(-261)/(-14)?
14
Let m(f) = 4*f. Let p be m(5). Suppose -3*g = -22 - p. Calculate the smallest common multiple of 14 and g.
14
Let g = 2 + 3. Suppose -2*v + 1 + 5 = 0. Calculate the smallest common multiple of g and v.
15
Let g = -10 - 21. Find the common denominator of (-118)/(-44) + 3/6 and g.
11
Let r = 14305/112 + -856/7. Suppose -2*q = 10, 2*m + 4*q + 70 = -106. Find the common denominator of r and 0 - m/32 - 3.
16
Let o = 734 + -357. Let d = -5217/14 + o. Let n = -210647/22 - -9577. What is the common denominator of d and n?
154
Let h(j) be the first derivative of j**2 + 4*j + 1. Suppose -2*b = 80 - 116. Calculate the lowest common multiple of h(7) and b.
18
Let x = -65 - -119. Suppose -u - x = -3*k - 19, -2*k - 2*u + 10 = 0. Calculate the smallest common multiple of 22 and k.
110
Let j = -14 + 30. Suppose 0 = p + 5*a + j, p + 4*a - 1 = -12. Calculate the least common multiple of p and 2.
18
Find the common denominator of -1*3 - 484/(-24) and 24/5.
30
Suppose 0 = -h + 5 - 3. Suppose -8*c + 3*c + 3 = h*n, 2*c - 32 = -3*n. Calculate the smallest common multiple of 18 and n.
126
What is the common denominator of ((-2067)/(-954))/(1*(-2)/14) and (-10)/(-4)*(-18)/70?
42
Suppose 3*x - 10 = -2*x. Let a = -1 + x. Calculate the smallest common multiple of (-6 + 0)*1/(-3) and a.
2
Let k(z) = -3*z + 4*z - 3*z + 0 - 3. Let f be k(-6). What is the least common multiple of (-284)/(-18) + 2/f and 2?
16
Suppose 0 = -3*t + 3, 5*z - z = t + 71. Suppose 4*i + 20 = 4. Calculate the smallest common multiple of z and (-1)/((-3 - i)/(-8)).
72
Suppose 0 = 4*o - 10 + 2. What is the least common multiple of 2 and o?
2
Let m(p) = p**3 + 6*p**2 + 4*p - 2. Let z be m(-5). Suppose 3*r = -4*l, -z*r + r - 11 = -l. Let h = 13 - 7. What is the smallest common multiple of h and l?
6
Let g(m) = -4*m**3 + 5*m - m**2 + 0*m - 4*m - 2. Let c be g(-2). Calculate the common denominator of (2 - 1) + (-290)/c and 25/22.
132
Let p(j) = -j**3 - j**2 + j + 6. Let n be p(0). Let h = n - -10. Calculate the lowest common multiple of h and 8.
16
Calculate the common denominator of 164/(-6)*3/4 and 23/22.
22
Let y = -49001731/131460 - -4/32865. Let j = -368 - y. Find the common denominator of j and -59/8.
8
Let t = -1902 - -11525/6. Calculate the common denominator of -29/10 and t.
30
Suppose -p - p - b = 0, 5*p - 3 = -b. Find the common denominator of (-1 - 14/36) + p and ((-61)/22 - -1) + 0.
198
Let m(q) = -q**2 - 18*q + 27. Calculate the lowest common multiple of m(-19) and (4 - 7)*(-32)/6.
16
Suppose -2*a + 4*u = -21 + 5, -3*a = -3*u - 33. Calculate the lowest common multiple of a and 4.
28
Suppose 15 = -5*v, 2*v = i - 0*v - 9. What is the common denominator of -63/5 and (-2)/(-4) - i/10?
5
Suppose -3*c + 182 = -7. Let y be (c - (2 - 2)) + 0. What is the common denominator of (-220)/y - (-2)/(-9) and -55/3?
21
Calculate the common denominator of 28 and -8*(-38)/36 + 10/(-45).
9
Suppose c + 4*c = 50. What is the least common multiple of c and 2?
10
Calculate the common denominator of -69/2 and (7 - -1)*19/12.
6
Let h = -11 - -13. What is the least common multiple of h and 30?
30
Suppose 4*t + 28 + 98 = 5*m, 4*m - 104 = 4*t. Let i(r) = r**3 - 5*r**2 - 3*r - 8. What is the lowest common multiple of i(6) and m?
110
Let n(f) = 2*f**3 - 4*f**2 - 4*f + 2. Let z be n(4). Suppose 0 = -4*r + 9*r - z. What is the least common multiple of r and ((-22)/4)/((-1)/2)?
110
Suppose 2*z - 4*q = -4 + 18, 2*z + 2*q = 8. Suppose 5*u = -0*s - 3*s + z, 3*s = 2*u + 19. What is the smallest common multiple of s and 6?
30
Let s(w) = -1 - 5*w + 10*w - 3*w - 5. Calculate the smallest common multiple of 11 and s(5).
44
Let o be ((-27)/(-6))/(3771/(-12)). Let s = -10026/2095 + o. Find the common denominator of s and -49/4.
20
Suppose -6 = -2*i - 2. Suppose -i*y - 17 = -2*d + d, 0 = 2*d + 2*y - 10. Calculate the least common multiple of 11 and d.
99
Suppose 4*h = 2*l + 42, -2*h + 5*l - 27 = -3*h. What is the least common multiple of h and 10?
60
Let l(u) be the first derivative of -u**2/2 + 4*u + 1. Let c be l(7). Calculate the common denominator of 41/11 and c - (-1)/((-10)/(-4)).
55
Let m be 18/(-7120)*(-1396 - -2). Let y = m + 29/89. What is the common denominator of y and -99/10?
20
Let c = 5386/35 + -793/5. Find the common denominator of 37/8 and c.
56
Let v be ((-1)/(-2))/((-7)/(-28)). Suppose v = r + r. What is the least common multiple of r and 4?
4
Let x be ((-12)/(-45))/(4/678). Let m = -2224/45 + x. Calculate the common denominator of 17/8 and m.
72
Let r = -18948/7 + 2699. Find the common denominator of 139/6 and r.
42
Let f = -49 + 89. Suppose -5*d + f = -30. Calculate the smallest common multiple of 12 and d.
84
Suppose 22 = 4*a + 6*w - 3*w, -a + 5*w = 6. Calculate the smallest common multiple of a and 1 + (-3)/9 + 12/9.
4
Calculate the smallest common multiple of 27 and (-3)/(24/(-242)) - (-6)/(-24).
270
Suppose 3*g = -g + 3*t - 4, -t - 2 = -3*g. Suppose 4*h = 2*a + 422, -g*h + 4*a = -a - 207. What is the common denominator of 2 + h/(-20) - 3 and 121/18?
90
Suppose 20 = -5*u, -4*f - 2*u + 1 = -7. Find the common denominator of (-5)/f*8/220 and 1/22.
22
Let d(t) = -9*t**3 - 2*t - 1. What is the smallest common multiple of 4 + (-1 - -2)*1 and d(-1)?
10
Let t = 1231 + -8644/7. What is the common denominator of -20/9 and t?
63
Let n be 2*(-12)/8*-1. Find the common denominator of 69/20 and n/(-7) + 1090/(-168).
60
Let v = -42799/8 - -5341. Let i = -781 + 10125/13. Calculate the common denominator of i and v.
104
Let b be (-51)/7 + 2/7. Let t = -5 - b. Suppose 2*v + 1 = 11. Calculate the smallest common multiple of t and v.
10
Let x = -109/60 + 251/15. Let u = 31/3 + x. Find the common denominator of -31/18 and u.
36
Calculate the common denominator of 4/(-6) - 229/(-24) and -29/20.
40
Suppose -3*d - 5 = -4*d. Calculate the smallest common multiple of (6/d)/(9/150) and 8.
40
Let c = -2636597/5 - -525699. Let p(j) = 9*j**3 - 8*j**2 - 5*j + 3. Let l be p(6). Let g = l + c. What is the common denominator of -115/6 and g?
30
Suppose -g = -v + 16, 2*v + 2*v - 72 = 2*g. Suppose v + 4 = 4*h. Calculate the least common multiple of (12/21)/((-3)/(-21)) and h.
12
Let y(b) = b**2 - 4*b + 8. What is the least common multiple of 26 and y(2)?
52
What is the least common multiple of 12/(-8)*(7 + -15) and 6?
12
Let p = -1626/35 - -243/5. Calculate the common denominator of -43/5 and p.
35
Let k = -2975/31 - -96. Let f = 295611 - 36655551/124. Let v = k + f. Calculate the common denominator of -107/14 and v.
28
Let j = 1732 + -5269/3. Calculate the common denominator of j and 67/8.
24
Let o(k) = -k**3 - 6*k**2 + 4*k - 15. Calculate the smallest common multiple of o(-7) and 7.
