69/8 - 3624. Let t be -435 - (0 + -12)/4. Find the common denominator of 32/t*(-84)/(-2) and k.
72
Let s = -172/7 - -2815/112. Let t be (440/25)/((-2)/10). Calculate the common denominator of s and 3 - ((-340)/t + 0).
176
Let t be 3/1 - 10 - -28. Let w = 3/2135 + 198507/34160. Find the common denominator of -7 - (-3)/(-30)*t and w.
80
Let w be (180/(-24) + 9)/((-6)/152). Let u(b) = -4*b - 131. What is the smallest common multiple of 6 and u(w)?
42
Let a = 2761 + -2242. What is the smallest common multiple of a and 8?
4152
Suppose -7*n - 21 = y - 10*n, -2*y + 3*n = 30. Let b(x) = -x**2 - 16*x - 4. Calculate the lowest common multiple of 9 and b(y).
531
Let m = -28013 - -28124. What is the least common multiple of 5/((-4)/6 - -1) and m?
555
Suppose 4*z - 212 = 3*y, 5 + 63 = -y + 4*z. Let l = y - -74. What is the lowest common multiple of 9 and l/((-8)/12) - -33?
90
Suppose 215*h - 219*h = 552. Let r = -116 - h. What is the least common multiple of r and 342?
3762
Let i(m) be the second derivative of m**4/6 - m**3/6 - 35*m**2/2 + 79*m - 1. Let b(x) = x**3 + x**2 + 12. What is the smallest common multiple of i(5) and b(0)?
60
Let w = -472298/1261 + 4872/13. Find the common denominator of w and -67/776.
776
Let t(n) = 29*n + 250. Let g be t(-15). Let d = -177 - g. What is the lowest common multiple of d and 236?
472
What is the common denominator of 1/(-2)*316/40 and (3*17/(-102))/((-14)/27)?
140
Let i = -3419 - -3420. Let w(m) = 2*m**3 - 3*m**2 + 3*m - 3. Let a be w(2). Let s = a + -4. What is the least common multiple of i and s?
3
Let i be (-1)/(-5) + 4536031756/(-10680) + 0. Let f = -424722 - i. Find the common denominator of f and 97/2.
534
Let s = 56095/8 + -7002. Calculate the common denominator of s and -32/7.
56
Let h(p) = -p**3 + 11*p**2 - 30*p + 15. Let i be h(6). What is the common denominator of (-4)/(-11)*(-20)/6 and ((-42)/i)/(5 + 392/(-40))?
132
Let w be (-1)/(1400/64 - -3). Let c = w - 6662/2587. Let y = -49/5 - 79/20. What is the common denominator of c and y?
52
Suppose 106*n + 37*n = -385*n + 15840. Calculate the least common multiple of 10 and n.
30
Let n be ((-86)/4)/((-25)/(-100)). Let g = -78 - n. What is the smallest common multiple of g and 7?
56
Let x be 1/(5 + 12838692/(-2567694)). Let a = x + 11567. Let y = 3740 - 22579/6. Find the common denominator of a and y.
222
Suppose 742 + 369 - 121 = 90*r. Calculate the smallest common multiple of 68 and r.
748
Find the common denominator of 5/40 - (-102)/(-56) and (28/(-8))/(165/60).
616
Let c = 11537 + -9087. Calculate the least common multiple of c and 1050.
7350
Calculate the common denominator of -47/2642 and 4/(-18) + ((-2)/(-54))/(44/(-14091)).
15852
Suppose w - 2*w + 13 = 0. What is the least common multiple of 2 and 6/(-4)*w*152/(-57)?
52
Let j be 17165/(-8) + 1 + 162/(-432). Let s = -8497/4 - j. What is the common denominator of s and -103/46?
92
Let c(n) = n**3 - 14*n**2 - 15*n + 7. Let d be c(15). Let b = d + -5. What is the smallest common multiple of 15 and b?
30
Suppose 16*r + 118 = 18*r. Let z = -34 + r. Find the common denominator of (-7)/(-14)*z/(-2) and 10/11.
44
Suppose -8*u + 93 = 13. What is the common denominator of -37/24 and -6*(-5)/u*(-140)/36?
24
Let v = -9 - -17. Suppose 0 = -5*c + c + v. Let q(u) = -u**2 + 48*u - 491. What is the smallest common multiple of q(17) and c?
36
What is the common denominator of (-9)/324*-8 - 541/(-90) and 43/(-30) + ((-182)/(-35) - 5)?
30
Find the common denominator of -119/36 and (48/(-896))/((-332)/(-16) + (-2)/1).
6300
Suppose -3*x + 104 + 127 = 0. What is the common denominator of ((-1111)/x)/(90/21) and 41/45?
90
Suppose 11*l + 5712 = 62*l. Suppose l*z - 105*z - 112 = 0. What is the least common multiple of z and 334?
2672
Let l(h) = 2*h**3 + 2*h - 6. Let m be l(-3). Let k = m + 51. Calculate the smallest common multiple of -6 - k - (3 - 4) and 32.
160
Let r(p) = -860*p - 4774. Calculate the smallest common multiple of 162 and r(-8).
2106
Let j be 221/(-39) + 2/3 - 0. Let g(m) = m**2 + 9*m + 29. Let p be g(j). Calculate the lowest common multiple of (-10 + 7)*(30/p)/(-5) and 42.
42
Calculate the common denominator of -28/459 and (-36)/45 + 3522/3240.
1836
Let h(d) = d**3 - 16*d**2 - 5*d + 10. Let c be h(-14). Let w = c - -104461/18. What is the common denominator of (0 - 66/16) + 1 and w?
72
Let x = 159 - 131. Suppose n - 9 = -m, 11 = 3*m - n - x. Calculate the smallest common multiple of 44 and m.
132
Let j = -3221 + 1842. Calculate the common denominator of 1/(3 + j/455) and -29/148.
148
What is the least common multiple of 1972 and (-6)/((1 - (-1892)/476) + -11 + 6)?
13804
Let y(z) = -2*z**2 - 34*z - 9. Let w be y(-17). Let d = -12 - w. What is the common denominator of ((-8)/d)/(11/(-18)) and -26/15?
165
What is the smallest common multiple of 82/2 - (-1 + -3) and 5/(45/189) + -6?
45
Find the common denominator of (210/9)/(2 - 6/9) and 9.
2
Let f = -17/25 - 1789/200. Let q = -350885 - -94739107/270. Find the common denominator of f and q.
1080
Let u be 27/(-6)*24/9. Let i = -8 - u. Suppose 60 = 4*y + z + 3*z, -73 = -5*y - i*z. Calculate the least common multiple of y and 5.
65
Suppose -2*z - 70 - 32 = -4*o, 2*o - 3*z = 57. Calculate the lowest common multiple of 10820 and o.
64920
Suppose -24 = -6*k, 2014 = -5*i + 2*k + 6426. Calculate the lowest common multiple of i and 36.
7956
Let t(j) be the first derivative of j**2/2 + 8*j - 77. What is the lowest common multiple of t(2) and 3?
30
Let l = -2/18255 - 346837/73020. Let h = -55547 + 6443399/116. Find the common denominator of h and l.
116
Let w = -1891 + 18927/10. Find the common denominator of 2/(-16) - (59 + 8138/(-144)) and w.
90
Suppose -y + 6*x - 11*x = 397, 0 = -2*y - 5*x - 799. What is the common denominator of 3 + 4 + y/12 and 77/12?
12
Let g = 75195 + -75186. What is the least common multiple of g and (-2318)/(-12) - 1/6?
1737
Suppose 0*v - 6*p + 12 = 2*v - 7*p, 5*p = 0. Calculate the least common multiple of v and 5661.
11322
What is the least common multiple of 18 and (((-8)/20)/((-4)/605))/(222/1332)?
2178
Calculate the smallest common multiple of 108 and 21112/42 + (-4)/(-3).
1512
Let m be 45/(-30)*(-16)/12. Calculate the common denominator of (-114)/(-18)*(m + (-168)/78) and (-218)/(-28) + (-1)/2.
273
Suppose -157*q = -160*q - 411. Let o = -123 - q. Calculate the smallest common multiple of o and -32*(9/6)/(-1).
336
Let t(r) = 7*r**2 + 4*r + 4. Let h(q) = -18*q - 9. Calculate the smallest common multiple of h(-6) and t(-3).
495
Let v be ((-4)/(-4))/((-14)/(-2632)). Let o = -399/2 + v. Find the common denominator of o and 2*1*81/4.
2
Let r(p) = -14*p**2 + 25*p + 33. Calculate the smallest common multiple of 33 and r(0).
33
Suppose -333 = -y + 4*t + 200, 5*y - t = 2589. Calculate the smallest common multiple of y and 33.
1551
Let n = -136 + 143. What is the least common multiple of 38/(-7*(-2)/n) and 6?
114
Suppose 178 - 52 = -3*c. Let o = 96 - 253/2. Calculate the common denominator of (-139)/c + (-3)/(-9) and o.
14
Let p be 2 + 1 - 876/(2 + 4). Let g = p - -127. Calculate the common denominator of (2/5)/((-13)/((-7930)/g)) and 87/2.
4
What is the smallest common multiple of (77/(-44))/(9/(-1872)) and 70?
1820
Suppose 3*m + 1322 + 457 = 0. Let j = -10975/2 + 6109. Let f = m + j. Calculate the common denominator of -27/10 and f.
10
Suppose -5*k = 4*y - 416, 3*k - 3*y - 255 = -0*k. Suppose -4*h + 365 = -115. Calculate the least common multiple of k and h.
840
What is the least common multiple of 190 and (1006/(-2515))/(1/(-15))?
570
Let g = 7552061/80 + -94402. Calculate the common denominator of g and -81/220.
880
Suppose -42*f - 38*f + 85671 = -23*f. Calculate the smallest common multiple of 668 and f.
6012
Let y(l) = -l**3 - 16*l**2 - 28*l - 5. Let v be y(-14). Let n(w) = -11*w - 40. Calculate the smallest common multiple of 18 and n(v).
90
Let v = 37963/2907 - 223/17. Calculate the common denominator of v and -41/21.
1197
Let p be 1/(((-1470)/(-734) - 2)*1). Let m = p + -308. Calculate the lowest common multiple of m and 6.
354
Suppose m - 11 = d, -13*d = -4*m - 16*d + 65. Suppose 5*l = 64 - m. What is the smallest common multiple of l and 25?
50
Let r = 11 + -5. Suppose 38*c - 35*c = -18, 5*o = c + 506. What is the least common multiple of 