116
Find the common denominator of (805/(-378))/((-4)/12) - 1 and -77/3490.
31410
Let q = 10964 + -10829. What is the smallest common multiple of q and 537?
24165
Let m = 5407 - 5347. Calculate the smallest common multiple of m and 1510.
9060
Let c(v) = -6*v**2 + 6*v - 12. Let t be c(-16). Calculate the common denominator of -2*1/11 + (-3250)/1485 and t/(-72) - 2/(-4)*1.
27
Let s(t) = t**2 + 0 + 13*t + 5 - 6*t - 7. Let m = 120 + -129. Calculate the smallest common multiple of 8 and s(m).
16
Let x(z) = z**3 - z**2 + 1. Let t be 7/(140/(-16))*-25. Let v = -11 + t. Calculate the least common multiple of v and x(0).
9
Suppose -3*b - 9 = q, b - 3*b = q + 10. Let v(o) = -2*o + 4. What is the smallest common multiple of v(q) and 10?
140
Let n = -5385 + 6010. What is the smallest common multiple of 750 and n?
3750
Calculate the common denominator of (58/22)/(18 + -17) and (-517)/60 + (-4)/30.
44
Let a = 30583 + -978735/32. What is the common denominator of -23/1632 and a?
1632
Let v be ((-21)/6 - -4)*-234 + -4. Let r = 131 + v. Calculate the least common multiple of r and ((-6)/(-8))/((-1)/(-4)).
30
Let l(m) = -m + 5. Let a be l(6). Let s be 3*3*a/(-3). Suppose 0 = -4*j + s*t + 4 + 84, -3*j + 66 = 5*t. What is the smallest common multiple of j and 6?
66
Suppose -104*l = -552 + 32. What is the lowest common multiple of l and 15?
15
Let u = -123/2 - -65. What is the common denominator of u and (-1909)/249*3/(-80)?
80
Let s be 22*(-4)/24 - (-1)/(-3). Let j be (9/6)/((-2)/s). Suppose -m - 10 = -j*m. What is the least common multiple of m and 46?
230
Let h be (3423/14)/(2/4). Suppose h = -4*p + 521. Let d = -8 + 28. What is the lowest common multiple of p and d?
40
Let o(n) = -2*n**2 + 78*n - 120. What is the smallest common multiple of o(37) and 88?
616
Suppose 0 = 2*b - 3*b + 28. Let p(y) = 17*y**2 + 195*y + 507. Calculate the smallest common multiple of b and p(-8).
140
Let a(i) = 14*i - 38. Let c be a(3). Calculate the lowest common multiple of -3 + 2 - -25 - -3 and 67 - 65 - 7*-1*c.
270
Let r be 392/(-21)*(-15)/4. Calculate the common denominator of 53/(-15)*r/210 and -2/123.
1845
Let j(c) = c**3 + 22*c**2 - 24*c - 20. Let w be j(-23). Let q be (2 - w)*10/(-5). What is the lowest common multiple of 0 - (q + -5 + 2) and 4?
4
Let n be ((-566)/77)/((156/(-250))/13). Let q = -1076/7 + n. Calculate the common denominator of -97/90 and q.
990
Let y(l) = l + 12. Let p be y(-2). Suppose 37*s + p = 42*s. Suppose -5*h + 75 = 5*w, -s*w = 5*h + w - 73. Calculate the least common multiple of h and 2.
14
Let m(h) = h**2 - h + 10. Let s be m(4). Suppose -k = -4*z + s, 0*k - 13 = 4*k - z. What is the common denominator of -67/22 and (k/4)/((-91)/1469)?
154
Suppose 3*j + 61*j - 3*j = 10614. Calculate the least common multiple of 96 and j.
2784
Let n = -392 - -743/2. Calculate the common denominator of 103/4896 and n.
4896
Let t = -1630153228/21 + 77640485. Let x = t + -14138. What is the common denominator of 41/81 and x?
567
Let q = -1992241/917 - 1972/917. Let p be (3 + (-7330)/20)*6. Let n = p - q. Find the common denominator of 43/9 and n.
63
Suppose -4*f + 23 = 5*h - 69, -115 = -5*f - 3*h. Suppose -4*o - f + 59 = 0. What is the least common multiple of (-3 - -2)/(2/(-14)) and o?
63
Find the common denominator of 302/(-755)*(-770)/5024 and -91/2.
1256
Let i = 2456541 + -1139834441/464. Let y = i - 33/58. What is the common denominator of (10/(-4) + 1)/((-15)/365) and y?
16
Suppose 4*r = -3*x + 6, -8 = 7*x - 11*x + 5*r. Calculate the least common multiple of 178 and 18/12 + (x + -1)/2.
178
Let i = 2/312515 + -6525625751/5625270. Let v = i - -1153. Find the common denominator of 52/153 and v.
306
Let x(b) = -b**2 + 8*b + 88. What is the lowest common multiple of x(14) and 268?
268
Let m be (-7)/(14/(-48))*2. Let x = m + -88. What is the common denominator of 61/4 and ((-4)/x)/((-4)/465)?
8
Suppose 0 = -182*b + 178*b - 428. Let m = 101 + b. What is the common denominator of 23/18 and (3 + m)/(1*(-2)/33)?
18
Let v = -128 - -131. Suppose -3*k = -3*p - v, -2*k - 4 = -4*p + 2. Calculate the smallest common multiple of 20 and p.
20
Let p(b) = -b**2 - 7*b + 32. Let u be p(-10). Calculate the common denominator of 54/70*10/u and -63/20.
140
Let h = 4022 + -3122. Calculate the lowest common multiple of h and 40.
1800
Suppose 2*l + 20 = -2*w, 0 = -l - 3*w - 2 - 0. What is the least common multiple of 36 + 5 + (-32)/4*1 and l/(-4)*24/28?
33
Let q = 88455 + -707589/8. Find the common denominator of q and 1/(-6)*3/4.
8
Let z be 3/(-2)*-1*20696/39. Suppose -21*w = -359 - z. What is the least common multiple of 110 and w?
110
What is the common denominator of ((-428)/14)/((-5 - -17)/(6/(-8))) and -81/368?
2576
Suppose 2*y + 5*n - 12 = 0, -11*y + 5*n = -14*y + 18. Let i = -101 + 166. Suppose 2*l = i - 25. Calculate the lowest common multiple of l and y.
60
Let a be 6/(-8)*(-3 - 1). Calculate the lowest common multiple of (-32)/(-20)*(a - -2) and 21.
168
Let c(g) = -271*g - 3519. What is the lowest common multiple of c(-13) and 275?
1100
Let h = 3821 - 1792. Let b = h - 54770/27. What is the common denominator of 58/3 and b?
27
Let z = -500/2597 + 44150403/20776. Let x = z + -2128. What is the common denominator of 3/7 and x?
56
Let n(q) be the third derivative of -5*q**4/8 - 101*q**3/6 - 14*q**2 + 2*q. Calculate the smallest common multiple of n(-11) and 36.
576
Suppose -383*c = -369*c - 3167 - 3693. Calculate the smallest common multiple of 490 and c.
490
Suppose -5*i = -2*g - 9, -g + 5*i = -3*g - 39. Calculate the least common multiple of 326 and ((-6)/(-8))/((-3)/g) + 3.
978
Let v = -11 + 3. Let l be (-20)/v*2/1. Suppose 0*i + 60 = l*i. Calculate the lowest common multiple of 12 and i.
12
Suppose -9674 = -59*x + 22599 + 4720. Calculate the lowest common multiple of 57 and x.
627
Suppose 0*s + 104 = -5*a + 3*s, 34 = -2*a + 5*s. Find the common denominator of 12/5 and ((-13)/60*-1)/(a/198).
20
Let t = 132 - 130. Let g = 320 + -308. Calculate the least common multiple of g and t.
12
Find the common denominator of ((-798)/(-190))/21 + 1/(896/(-214)) and 109/60.
6720
Let s(l) = l**2 - 6*l + 2. Let r be s(6). Let n be 3 + 5 + 6 + -5 + (-25 - -14). Calculate the common denominator of 161/66 and (-308)/(-48) + n + (-1)/r.
132
Let q = -751 + 787. What is the smallest common multiple of 12 and q?
36
Suppose -19*j = -47*j + 30363 + 59349. Calculate the smallest common multiple of j and 9.
3204
Let i be (-230758)/(-2783715)*(-296)/(-32). Let s = -3205894906/16871 - -190024. Let a = s + i. What is the common denominator of a and -79/2?
30
Suppose -2 = -16*v + 142. What is the least common multiple of 1064 and v?
9576
Calculate the common denominator of -35/2571 and (-9553)/(-1107) + 2/7 + (-51)/7.
23139
Find the common denominator of 36306/(-4410) - 24/(-3) and 2/35.
245
Calculate the smallest common multiple of 458 and (-47)/(-7) + 304/133.
4122
Let j(t) = -t**2 + 3*t + 3. Let h be j(4). Let y = -3455 + 4139. What is the least common multiple of (h - (-2)/3)*y/(-19) and 92?
276
Calculate the common denominator of 31/1100 and (156/150)/((520/175)/13) - 5.
1100
Suppose 0 = -5*z + 135*z - 1170. What is the lowest common multiple of 1 and z?
9
Suppose 205 = -3*i + 2*c, -4*c - 87 = -11*i + 12*i. Let x = i + 92. Calculate the least common multiple of 21 and x.
21
Let h = -26666 - -26706. Let q(y) = 10*y**3 + y**2 + 3*y - 2. What is the smallest common multiple of q(2) and h?
440
Let i be (-1 - 0) + 30908/18. Let h = -4190 + 2467. Let f = h + i. What is the common denominator of f and -59/35?
315
Find the common denominator of -6 - (-15 - 31399/(-3570)) and 53/40.
840
Find the common denominator of ((-6)/(-1725))/(96/555) and -47/368.
1840
Find the common denominator of 68/102 + -1 + (-1850)/(-4272) and -97/8.
712
Calculate the common denominator of 18054/(-1239)*21/12 and ((-2)/(-5))/((-48)/2980).
6
Let d be 64/(-288) + 2/9. Suppose 0 = -4*o - 4*q + 5*q + 91, 4*q - 20 = d. Suppose 0 = 4*b - 45 - 15. Calculate the lowest common multiple of b and o.
120
Let w = 22347 + -21147. What is the smallest common multiple of w and 48?
1200
Let j = 28114/7 - 4022. Let p = 37933/15 + -2524. What is the common denominator of j and p?
105
Let c = 270587/27510 + -12/4585. What is the common denominator of c