- k. Calculate the least common multiple of 4 and a.
76
Let f(a) = -8*a - 67. Let l(i) = i**2 + 18*i + 23. Let w be l(-16). What is the lowest common multiple of 50 and f(w)?
50
Let b(f) = -f**3 + 7*f**2 - 5*f - 61. Let h be b(-6). Let w = h - 18355/42. Calculate the common denominator of w and -37/56.
168
Let l(d) = -14*d + 1120. What is the smallest common multiple of l(77) and (-2)/(-4) + (-82)/(-4)?
42
Find the common denominator of 117/20 and (-2 - 273/(-60))*(-125)/750.
40
Let a = 5684561/240 + -23685. Find the common denominator of 25/184 and a.
5520
Suppose 0*z + 2*z = 78. Let t = 109 + -107. Suppose -2 + 3 = -l, -5*v + 18 = t*l. What is the smallest common multiple of z and v?
156
Let f = -15531 + 636803/41. Find the common denominator of f and 21/10.
410
Let f(r) = -r**2 - 10*r + 16. Let b be f(-11). Suppose 0*c = -b*c + 80. Let l = 23 + -13. What is the smallest common multiple of l and c?
80
Suppose -233*d - 192000 = -281*d. Calculate the least common multiple of d and 400.
4000
Let w = -1184 + 1196. Calculate the smallest common multiple of w and (2 + -1 - 2)*-7.
84
Suppose -17321 + 2919 - 4918 = -35*p. What is the lowest common multiple of 184 and p?
552
Calculate the common denominator of (-3)/(-1) + -1 - (-98)/24 and -5 - ((-1)/4 + (-1298)/352).
48
Suppose -2*f + 13 = 7, 5*o = 5*f + 5. Let s = 50 + -43. Calculate the smallest common multiple of s and o.
28
Suppose -3*j + 55384 = j. Let y = 166283/12 - j. Find the common denominator of (-6)/45 - (2 + (-106)/20) and y.
12
Suppose 23*b = -33*b + 672. Suppose 25*o + o = 546. Calculate the lowest common multiple of b and o.
84
Let w = -37054/13 - -51689797/18135. What is the common denominator of -11/837 and w?
4185
Let w = -345637/22 - -15714. Let m = -204671/24 - -8526. Find the common denominator of w and m.
264
Let j = -1169 - -1539. What is the lowest common multiple of j and 74?
370
Calculate the lowest common multiple of 2738 and 17/(340/24)*(-2220)/(-36).
2738
Let a be 2/5*10/1. Suppose 0 = -a*p + 12. Suppose 0 = -2*s - 11 - p. Calculate the common denominator of -59/7 and s.
7
Calculate the lowest common multiple of ((-10 - -5) + 7)*(650/20 + -10) and 39.
585
Suppose -z = -40 - 792. What is the least common multiple of 152 and z?
15808
Let s = 60 + -54. Calculate the common denominator of 1/s*(-1 - 570/(-6)) and 61/12.
12
Let c(o) = -o**3 - 11*o**2 - 13*o + 6. Let x be 1/4 + 2052/(-144). Calculate the smallest common multiple of c(-10) and 34/(-51)*(-7)/(x/(-48)).
144
Suppose 12 = -4*l, 3*w + 4*l = -l - 1050. Calculate the common denominator of (-2 - 19/(-5))/((-646)/(-95)) and (-1)/4 - w/180.
102
Suppose -2*h + 4*r + 3 = 9, 0 = -2*r + 2. Suppose -4*z - 2 = -42. Calculate the lowest common multiple of -1 - (-23 + (-4)/h) and z.
90
Let q = 45445/182 - 3520/13. Let v be (-2116)/126 + (-2)/((-8)/(-4)). Let u = v - q. Find the common denominator of u and -121/24.
72
Let d = -1085 + 1259. What is the common denominator of 0/2 - (-51)/8 and (135/(-4))/((-145)/d)?
8
Let w(f) = -f**2 + 7*f + 6. Let n be w(6). Find the common denominator of (45/(-480))/(162/12184) + (-12)/162 and (118/n)/((-2)/1).
24
Let a = -4600095/13958 - 9/1994. Let t = a + 329. Find the common denominator of t and 62/69.
483
Let b = -185636 - -305185519/1644. Find the common denominator of b and 43/2466.
4932
Let b = 2761/30 - 1037/10. Find the common denominator of b and -43/2121.
2121
Let m(b) = -3*b + 7. Let p be m(6). Let f be (140/7)/5 + p + 0. Let c(x) = x + 23. What is the lowest common multiple of 4 and c(f)?
16
Let r = -7583 - -144329/19. Let g = -1473/38 + r. Calculate the common denominator of -39/92 and g.
92
Let p(f) = 48*f + 10. Let r = 200 - 169. What is the least common multiple of p(r) and 2?
1498
Let n = 2106 + -1544. Let u = 11810/21 - n. Let s = -3614/7 - -1559/3. Find the common denominator of u and s.
21
Let j(h) = 33*h**2 - 5*h + 4. Let d(s) = -s**2 + 6*s + 727. What is the least common multiple of j(1) and d(30)?
224
Let r be 778*6/4*2/3. Let a = r + -4637/6. Calculate the common denominator of (-3)/(-9) - 67/126 and a.
126
Suppose 5*n + 4*l = 849, -26*n + 21*n + 4*l + 801 = 0. Calculate the lowest common multiple of n and 1617.
8085
Let n = 1208 - 704. Calculate the smallest common multiple of 56 and n.
504
What is the common denominator of -73/70 and (-7942)/(-100947)*(2 - 11/6)?
14490
Let u be 1 + 4*(1 - 0). Suppose -u*d = -45 + 5. Suppose -h + d = 2. What is the least common multiple of 33 and h?
66
Let k be (6/(-4))/((-6)/(-8)). Let b(o) be the second derivative of -o**3/3 + o**2/2 + o - 139. Calculate the least common multiple of b(k) and 5.
5
Let w = 9767 + -253907/26. Calculate the common denominator of (-122)/(-100) + (-28)/70 + 0 and w.
650
Suppose 0 = r + 4*f + 9, 2*f + 22 = 4*r + 4. Suppose r*s = 0, 7*o + 4*s + 27 = 4*o. What is the common denominator of -7/6 and (894/(-240))/(o/(-12))?
30
Let h(t) = t**3 + t**2 + t. Let p be h(-1). Let q be p/(-4) - 246/(-8). Let z = q + -23. Calculate the least common multiple of z and 2.
8
Let f = -75 + 3240. Suppose -a = -f + 942. Let h = a + -33332/15. Calculate the common denominator of h and 43/12.
60
Let v = 1/422406 + 4738221967/1267218. Let w = v - 7481/2. What is the common denominator of -55/36 and w?
108
Let c = -210 - -190. What is the least common multiple of (-20)/3*75/c and 25?
25
Let y be 5/285*18/261788. Let d = 4960915265/48496227 + y. Let h = -1020/13 + d. Calculate the common denominator of 65/2 and h.
6
Let d be (8/6)/(-3 - (-52087)/17367). Let j = 12999/2 - 8111. Let q = d - j. Calculate the common denominator of q and 1/22.
22
Let s = -105 - -45. Find the common denominator of 5 + (-286)/s*-2 and 89/30.
30
Suppose 0 = -13*j - 86*j + 10521 + 3339. What is the smallest common multiple of j and 60?
420
Let b = -89578501/13 + 104450378179/15158. Let y = 45995/53 - b. Let k = -748 + y. Calculate the common denominator of k and 53/20.
220
Let v(q) be the third derivative of -q**4/24 + 11*q**3/6 + 5*q**2. Let s = -136 - -158. Calculate the smallest common multiple of s and v(3).
88
Let q(m) = m**2 - 3*m - 4. Let x be q(-4). Let z = x + -6. Let o = 349 + -334. What is the least common multiple of z and o?
90
Find the common denominator of (-4 + 0)*1 + ((-1734)/4)/(-17) and 49/871.
1742
Suppose -i - 2 - 3 = 0. Let o = i - -4. Calculate the common denominator of 91/24 and ((1 - o)/24)/(4/(-3)).
48
Let u = 7420 - 267247/36. Find the common denominator of u and -74/93.
1116
Let l = -506 - -321. Find the common denominator of (44/(-242))/(8/(-114)) and (l/10)/(-10 + -1).
22
Suppose -2*y + 2*a = -12, -a + 5*a = -4. Suppose 0 = -2*o - y - 3, -i + o + 16 = 0. Calculate the lowest common multiple of 8 and i.
24
What is the common denominator of -109/70 and (106*(-11)/440)/(2/(8/(-6)))?
210
Let u = 922 + -845. What is the lowest common multiple of u and 266?
2926
Suppose 0 = 5*o + o - 84. What is the least common multiple of 1 and (-1 - -11)/(o/126) - 5?
85
Suppose -5*p = 3*r - 45, 3 = 4*p - 4*r - 1. Suppose -36*s + 1646 = -1594. Suppose -93*l + 12 = -s*l. What is the lowest common multiple of l and p?
12
Let c(f) = -10*f + 10. Let h be c(-2). What is the common denominator of -68/93 and (-172)/2*2/h?
465
Suppose 0*p - p = -5*i + 16, 8 = -3*i + 5*p. What is the common denominator of (-1)/i + ((-5301)/(-648))/19 and 149/18?
72
Suppose -101*c + 96936 - 35730 = 0. Suppose 612*g - 216 = c*g. Suppose -2*d = -4*d - 4*q + 36, 4*q = -4*d + 92. What is the smallest common multiple of g and d?
252
Suppose 0 = -44194*z + 44165*z + 1740. What is the least common multiple of 105 and z?
420
Let y = 2/213 + 4043/426. Suppose -2*z - 22 = d - 5*z, 3*z = 4*d + 88. Find the common denominator of y and (-25)/28 + 22/d.
28
Suppose 2998*x = 3002*x - 28, 5*x = -2*s + 55. Let n = 90 + -40. What is the lowest common multiple of n and s?
50
Let o(w) = -3*w + 32. Let c = -62 + 70. Let q be o(c). What is the lowest common multiple of 8 and 3/(-3)*(-1 - q - 1)?
40
Let b(z) = 5*z**2 - 20*z + 15. What is the smallest common multiple of 75 and b(8)?
525
Let l(q) = 21*q + 237. What is the least common multiple of l(-11) and 3774?
3774
Suppose 0 = m - c + 5, -7*c + 2*c + 25 = m. Find the common denominator of -4*((-6)/56)/((-4)/(-24)*-1) and m - (111/(-24) + 0).
5