83 = 4*s, 44 = 4*s - 4*x. What is the lowest common multiple of 482 and s?
5302
Let m = 910 + -322. What is the common denominator of (-15)/(90/m)*1/(-4) and 62/5?
10
Suppose -5*i - 924 = -8*i. Calculate the common denominator of ((-96)/(-512))/(3*2/i) and -1/5.
40
Let h = 783/14 + -412/7. Calculate the common denominator of h and -81/514.
3598
Let q be ((-90207)/90)/((-18)/(-15)). Let v be 1 - (-33)/(-36)*922. Let n = v - q. Find the common denominator of n and -23/22.
132
Let g = 14/491 - -33655/7856. Let k(d) = -37*d**2 + 6*d - 1. Let l be k(9). Let x = 64751/22 + l. What is the common denominator of g and x?
176
Let p be 0*(1 - (-1)/(-2)). Suppose -8*a + 3*a + 270 = p. Calculate the common denominator of -53/8 and 1*21/a*21.
24
Find the common denominator of 121/114 and 5453/(-2952) - (-1)/(-9).
456
Calculate the smallest common multiple of ((-14)/(-2))/((-2)/(-2)) and (-238)/(-18) - 2*(-9)/(-81).
91
Suppose -6*g = -183 + 135. Calculate the lowest common multiple of 30 and g.
120
Let m be (-4 + 3)*1 - -5. Suppose 2*t + 2*t = m. Suppose 3*p - 7 = -t. Calculate the smallest common multiple of 14 and p.
14
Suppose 468 = -757*p + 766*p. Calculate the lowest common multiple of p and 20.
260
Let d be (0 + 15)*2/6. Let b = 6 - d. Suppose 28*x - 2*x - 494 = 0. What is the smallest common multiple of x and b?
19
Let r(t) be the first derivative of -24*t**2 - 2*t + 14. Calculate the lowest common multiple of 6 and r(-1).
138
Suppose -4*i + 12 = -28. What is the smallest common multiple of i and 11?
110
Let k = 110 - 114. Calculate the lowest common multiple of (8 + k)/((-12)/(-45)) and 9.
45
Let b = -1343/3 + 464. What is the common denominator of b and 53/3?
3
Let i = 16423985/14 - 1176106. Let g = -2961 - i. What is the common denominator of g and -21/22?
154
Calculate the common denominator of 5/(-9) + (-6)/(-24) - 1 and 47/16.
144
Let u = -22 - -22. Suppose 5*b + 83 - 33 = u. What is the common denominator of -91/4 and (-194)/15 - (-4)/b?
12
Let o = 23 + -26. Let p be (-4)/(-18)*-6*o. Suppose 0*c - 2*c + 16 = 4*q, 4*c + 40 = p*q. Calculate the lowest common multiple of 5 and q.
30
Let l = -3164 + 18917/6. What is the common denominator of -67/4 and l?
12
Let r = -33 + 43. What is the lowest common multiple of ((-16)/r + (-3 - -4))*-5 and 27?
27
Let j(y) = y**2 - 8*y + 4. Calculate the lowest common multiple of 1 and j(0).
4
Let w = 14/13763 - 230368/253528223. Let m = w + -2081585/110526. Let p = -28557/8503 + -4/773. What is the common denominator of p and m?
66
Suppose 3*u + 3*a + 337 = -2*a, -a = 2*u + 213. Let q = -37243/110 + 3666/11. Find the common denominator of -2*3/9*(-654)/u and q.
130
Let f be (-6762)/(-285)*15/24. Let r = -111/38 - f. Calculate the common denominator of r and 17/5.
20
Suppose -5*r - 2429 = 4*z, -3*z - 6*r = -r + 1818. Let s = 3613/6 + z. Let v = 116/33 - -901/66. Find the common denominator of s and v.
6
Let h = -1524 - -1604. What is the lowest common multiple of h and 56?
560
Calculate the least common multiple of -4*3*90/(-24) and 30.
90
Let n be (3 - 10197/3405)/((-12)/40). Let u = n + 2963/681. Calculate the common denominator of u and 32/21.
21
Find the common denominator of (-35)/231*118/10 and -53/9.
99
Let o = 15 - 13. Suppose -2*k = -o*a + 50, k + 134 = 5*a + 5. Let m = 34 - 14. Calculate the least common multiple of a and m.
260
Suppose -67 + 59 = -t. Calculate the smallest common multiple of t and 280.
280
Let s(y) = -8*y + 12*y - 9*y**2 - 2 + 4*y**3 - 3*y**3. Calculate the common denominator of 87/10 and s(9).
10
Suppose -2*n + 3*n = -184. Let h be 82*-6*4/n. Let t = h + -3845/138. Calculate the common denominator of t and 47/2.
6
Let a(q) = 2*q - 32. Suppose 2*t = 4*w - 152, 4 = -3*t + 2*t. What is the least common multiple of a(17) and w?
36
Suppose 0 = -5*w + f + 3, -w + 2*f - 3 = 0. Calculate the smallest common multiple of -7 + 30 + w + -2 and 76.
836
Suppose -525 = l - 6*l + s, -3*s = 2*l - 227. Suppose 0*t + 118 = 4*t - 2*v, -2*v = 3*t - l. Find the common denominator of 149/30 and t.
30
Suppose 0 = 12*k - 11*k - 12. What is the least common multiple of k and (-2)/8 + (-73)/(-4)?
36
Let k(m) = m**3 - 5*m**2 + m - 3. Let u be k(5). Suppose -i - g = -7, -g + u = -0*g. Calculate the lowest common multiple of 2 and i.
10
Let p = 31 + -22. What is the least common multiple of p and 6/(-12) + (-58)/(-4) + -6?
72
Suppose -2*n = -2*v + 16, 0 = -5*v + 4*n + 25 + 11. Calculate the least common multiple of v and 18.
36
Let q = -9560473/146 - -65483. What is the common denominator of 9/22 and q?
1606
Let k be (24/9)/(-2)*6/(-1). Calculate the smallest common multiple of 14 and (-11 + k)/((-6)/8).
28
Let i(q) = 2*q**2 - q + 1. Suppose 5*w - 4*b = 50, 12*b = -w + 8*b + 34. What is the smallest common multiple of i(-3) and w?
154
Let m be 6/(-9)*-5*-3. Let d = m - -30. Calculate the lowest common multiple of d and 4.
20
Let p = -673/63 - -160/63. Let v = 2251 - 29295/13. Calculate the common denominator of p and v.
91
Find the common denominator of 49/16 and 3146/8320 + 8/(-10).
64
Let j = -32 + 31. Calculate the common denominator of -59/14 and j*34*(-11)/(-308).
14
Let x be ((-2154)/8)/(2/(-72)). Let c = 193811/20 - x. Calculate the common denominator of c and 193/12 - 7/((-154)/(-88)).
60
Let a = 517 + -196. What is the least common multiple of a and 18?
1926
Suppose m = 2*z, 0 = 5*m - 3*m + 4*z - 8. Suppose -2*h + 3*b = 4*b - 15, -3*b = -9. Calculate the lowest common multiple of h and m + -1 - (-15 - -12).
12
What is the common denominator of -9/70 and ((-41)/7 + -9)/(-2)?
70
Let c be (441/14)/((30/(-27))/(-2)). Let h = c + -65. Calculate the common denominator of 38/11 and h.
110
Let n(w) be the second derivative of w**3/2 + 5*w**2 - 8*w. Calculate the least common multiple of n(4) and 18.
198
Suppose 5*s + 0*k = 2*k + 404, 0 = 5*s - 3*k - 406. Calculate the least common multiple of s and 20.
80
Let b(f) = 3 + 3*f + 145*f**2 + 12 - 146*f**2. Calculate the lowest common multiple of 6 and b(4).
66
Suppose 410 = -2*x - 5*o, 1056 = -5*x + 6*o - 3*o. Calculate the smallest common multiple of 36 and 5*(-18)/x + (-106)/(-14).
72
Let p = 1135/14 + -108063/1330. What is the common denominator of 173/60 and p?
1140
Let d = 704 + -683. What is the lowest common multiple of d and 9?
63
Let o(v) be the second derivative of 7*v**3/6 - v**2/2 + v. Let r be o(-1). Let q = 3 - r. What is the least common multiple of 11 and q?
11
Let b = 24/355 + 19309/3195. Let s be -2087*2*1/(-24). Let v = -1183/6 + s. What is the common denominator of v and b?
36
Suppose 0 = 3*s - 12, -u + s - 28 = -3*u. Calculate the least common multiple of 108 and u.
108
Let s = 2932/11 + -263. What is the common denominator of s and 669/522 + 3*(-5)/(-90)?
319
Find the common denominator of ((-42)/40 - 95/(-76))*-41 and 104/(-18)*3/12.
45
Let u(v) = -v**3 - 6*v**2 - 5*v + 6. Suppose -2*b - 3 = -19. What is the least common multiple of b and u(-5)?
24
Let o(m) = 5*m - 10. Suppose -4*l + 42 = -4*p - 2, -4*l = -2*p - 36. Find the common denominator of (-47)/7 + 2/l and o(5).
7
Suppose -6*h + 4 = -4*h. Let g(d) = d**3 - d - 1. Let l(i) = i**2 + i + 10. Calculate the smallest common multiple of g(h) and l(0).
10
Suppose -3*t = -8*t + x - 130, -4*x = t + 26. Let s = -1995 - -27957/14. What is the common denominator of 2 + 56/t - (-6725)/1040 and s?
112
Let l(m) = m**3 - 9*m**2 + 6*m - 9. Let p be l(9). Let b = p - 42. What is the smallest common multiple of b and 8?
24
Let n(c) = -3*c**3 + 18*c**2 + 8*c + 21. Let f be n(-15). Suppose -5*s - f = -4236. Let m = s + 15723/8. Find the common denominator of m and 51/20.
40
Suppose -w + 126 = 2*q, -4*q + 3*w + 154 + 118 = 0. Let m = -56 + q. What is the least common multiple of m and 33?
99
Let u(r) = 11*r**3 + 3*r + 3. Suppose 5 - 11 = 3*s. Let d be u(s). Calculate the common denominator of -19/10 and (-52)/d + (-778)/(-84).
30
Suppose -21*y = -16*y + 375. Let r = 102 + y. Find the common denominator of 49/3 and r.
3
Find the common denominator of (-15)/(-10)*(-43)/(-150) and -92/45.
900
Find the common denominator of (3/(-2))/((-108)/1680) and -139/12.
12
Let o be (6/(-7))/((-5)/35). Let c = -4 + o. Let r = -38 + 58. Calculate the least common multiple of r and c.
20
Suppose v = 2*v - 10. Suppose 2*x - 3