t k = 4/1383 + 17915/22128. Let t = 2/291 + -19529/4656. Find the common denominator of t and k.
16
Let w(a) = a**3 + 32*a**2 - 413*a - 30. What is the lowest common multiple of w(11) and 60?
1260
What is the lowest common multiple of (1367 - 1133)/((-2)/(-7) + 0) and 299?
18837
Let t(w) = 2*w**3 + 20*w**2 - 29*w - 50. What is the lowest common multiple of 141 and t(-11)?
1269
Suppose 22*u + 0*u - 437 = 1719. Calculate the lowest common multiple of 5 and u.
490
Suppose 1946 = 31*v - 24*v. What is the least common multiple of 16 and v?
2224
Let s = 871 + -838. Suppose -8 = -2*w - 3*y, -w + 6*w = 3*y + 20. What is the least common multiple of w and s?
132
Let i be 20/(-14) + 2 - 12612/(-224). Let h = -292/5 + i. What is the common denominator of h and -29/40?
40
Suppose -53*a = -11*a + 4200. Suppose 0 = -k + 5*k + 60. Calculate the common denominator of k/(-24)*158*(-8)/a and -1/3.
30
Let k = -2199 - -8893/4. Calculate the common denominator of 15/37 and k.
148
Let o = 1837 - 1805. Calculate the lowest common multiple of 736 and o.
736
What is the common denominator of 3/9*53/(-3) and (-3759)/(-1771) + 7/(693/18)?
207
Suppose 155*s + 22 = 177*s. What is the common denominator of 75/4 and (-195)/(-144) + s + 3/9?
16
Let m = 382 + -343. What is the least common multiple of m and 30?
390
Let q = -20719/6 + 3445. Let s = 764867/6 + -15808027/124. Let j = s + 26/31. What is the common denominator of q and j?
12
Let o = 3 - 6. Suppose -33*d + 41*d + 160 = 0. Calculate the common denominator of 121/18 and 545/d*(2/o - 0).
18
Let h = 4 - -1. Suppose -s + 51 = 3*x, 3*x - 2*s = h*x - 30. Let v(d) = 7213*d - 43222. What is the lowest common multiple of v(6) and x?
504
Suppose 3*x = 5*a - 402, -a - x + 17 = -57. What is the lowest common multiple of 52 and a?
156
Let n = -387 + 655. Let m = n + -256. What is the lowest common multiple of 44 and m?
132
Let g = -6/3085 - 6509/16042. Calculate the common denominator of g and -9/22.
1430
Let s = 19577/18824 - 11/362. What is the common denominator of s and 93/130?
520
Suppose 0 = 4*q + 4, -5*q - 7 - 4 = 2*k. Find the common denominator of 0 - ((-321)/(-270) - (-3 - k)) and -15/11.
990
Suppose 5*f = 4*n + 521, 0 = f + 2*f + 2*n - 317. Suppose f = 2*y + 41. What is the least common multiple of 32 and y?
32
Find the common denominator of -28/363 and (106*(654/(-162) - -4))/(3*4).
19602
Let p(m) = 2*m**2 - 19*m + 37. Let h be p(8). Suppose 0 = 3*y + h*y - 96. Calculate the lowest common multiple of 135 and y.
270
Let z = 56053/28308 - 16/1011. What is the common denominator of -37/70 and z?
140
Let v be 2139617/(-50) + -1 + 4. Let k = v + 42791. What is the common denominator of k and 91/15?
150
Suppose 24*k = -67*k + 9*k + 1804. What is the least common multiple of 30838 and k?
339218
Let y = 31231/6 + -5188. Let b = -1969/2 - -947. What is the common denominator of b and y?
6
Suppose -81 - 77 = -4*j + 2*s, 4*s = -4*j + 128. What is the least common multiple of (2/10)/(j/2035) and 6?
66
Let n = -60 - -52. Let s(t) = t**3 + 8*t**2 - 2*t - 18. Let v be s(n). Calculate the lowest common multiple of 1/(-2 + (2 - v/12)) and 4.
12
Suppose -4*u - 258 - 202 = 0. Find the common denominator of 4/(3 + u)*-22 and (4/(-3)*4/((-128)/(-492)))/(-74).
1036
What is the common denominator of 13/((-1001)/262) - -4 and -1*(-2)/((3332/24)/(-7))?
1309
Suppose a - 3092 = -2*v, -4*a + 2*a - 4 = 0. What is the common denominator of v/(-1666) + 1 + 0 and -41/60?
420
Let s = 218037180269784299/3536342616492 + 10/38438506701. Let l = 1323918/23 - s. Let q = -4092 - l. Calculate the common denominator of 101/10 and q.
180
Let x = 34 + -29. Suppose u = 0, 0*g = -x*g + 2*u + 25. Suppose 0 = f - 4*q - 54, 4*f - g*q - 137 = 46. Calculate the least common multiple of 10 and f.
210
Let p = -7165 - -7174. Calculate the lowest common multiple of p and 1054.
9486
Suppose -14*q = -4*l - 15*q + 266, -q - 254 = -4*l. Calculate the smallest common multiple of 715 and l.
715
Suppose 3*f + 5*i - 17 = 48, 3*f = -13*i + 121. Suppose 111 = w - v + 2*v, 2*w + 3*v = 223. Calculate the smallest common multiple of f and w.
110
Let x = 38 + -8. Let w = 99 - 96. Suppose -w*t + 48 = 2*a, -77 + 3 = -4*a + 5*t. Calculate the smallest common multiple of x and a.
210
Let a(c) = 10*c - 152. Let t be a(16). What is the least common multiple of 57 - (1 - t - -1) and 63?
63
Let m(y) = -44*y**2 - 272*y + 42. What is the least common multiple of 117 and m(-6)?
1170
Let u be -3 + (-6)/(-1) + -27228. Let l = -598843/22 - u. Calculate the common denominator of -91/144 and l.
1584
Let u = -5888276/3471 + 22056/13. Find the common denominator of u and -5/712.
2136
Suppose 65*w - 233 - 356 = -134. What is the smallest common multiple of w and 1104?
7728
Let n = 305297/498120 + -573/1186. What is the common denominator of n and -169/840?
840
Suppose 4*h = 0, 2*i + 4*h = -11 - 1. Let w(o) = 2*o**2 - 21*o + 2. What is the least common multiple of w(i) and 16?
400
Let i = 10101 + -10061. Calculate the smallest common multiple of 12 and i.
120
Suppose -36*k - 756 = -39*k - 3*o, 2*k - 508 = -3*o. What is the least common multiple of k and 806?
3224
Let q be 432 - (4 + (-2 - -2)). Let y = q + -3443/8. What is the common denominator of y and 27/4?
8
Suppose -4*n + 143 = -y, 4*n - 131 = -6*y + 3*y. Calculate the least common multiple of 385 and n.
385
Suppose -34*n - 1742 = -5210. What is the smallest common multiple of n and 748?
2244
Suppose 141 = i - 2*s + 29, 5*i - 5*s = 595. Suppose -4*h + z - 2*z + 28 = 0, -h = -3*z - 7. Calculate the smallest common multiple of i and h.
126
Let t(k) = -2*k**2 - 9*k + 45. Let h be t(-21). Find the common denominator of 2904/h - 2*-2 and -149/48.
432
Let w be 1*2*(6 + 4 + -9). Suppose -24*c = -23*c + w. What is the least common multiple of 168/27 + ((-16)/(-36))/c and 16?
48
Find the common denominator of 19/685 and (-984)/36*9*5/(-100).
1370
Let q be (-174)/(-261)*(-3)/2*-2. Suppose -q*h = -11*d + 14*d - 124, -48 = -d - 4*h. Calculate the lowest common multiple of 12 and d.
120
Suppose -4 = -4*y - 0. Let q be (-2 + (-4 - -82))*y. Let n = 43 - q. Calculate the common denominator of -71/6 and n.
6
Let k be ((-45)/(-18))/(20/16). Find the common denominator of -83/54 and k/18*(-23)/368.
432
Suppose 2*u - 4*b - 68 = 0, -5*u - 109 = -3*b - 300. Let a = 252 + -236. Let y = u - a. Calculate the lowest common multiple of y and 2.
24
Let b(f) = 6*f - 20. Let g be b(8). Suppose 120 = -8*m - 24. Let n = m + g. Calculate the smallest common multiple of 13 and n.
130
Find the common denominator of (-16856)/2090 - (-17 + (17 - 8)) and 4/33.
3135
Let v = -3676 + 4416. What is the lowest common multiple of 37 and v?
740
Let q = 125/638 - -25943/25520. Calculate the common denominator of 29/70 and q.
560
What is the common denominator of (-45)/(-8)*((-171)/19 - 125706/(-13968)) and -58/679?
43456
Calculate the common denominator of -103/3072 and 3395/60*26/273.
9216
Let i be (-6 - -4)*(-31)/(-2). Let z = -30 - i. Calculate the common denominator of ((-2660)/8)/7*z and -53/9.
18
Let t = 60162/455 - 1710/13. Let z = -4349/2135 + 187/61. Calculate the common denominator of z and t.
35
Let q(a) = 7*a**3 - 15*a**2 - 32*a + 8. Let m(u) = -4*u**3 + 8*u**2 + 16*u - 3. Let c(l) = -5*m(l) - 3*q(l). What is the least common multiple of 6 and c(6)?
102
Suppose 4*t - 403 = -5*f + 256, -2*f + 5*t + 290 = 0. Calculate the least common multiple of 30 and f.
270
Let g = -5357 - -117897/22. Calculate the common denominator of -1/11340 and g.
124740
Suppose 3 = -29*v + 32*v. Let x(s) = s**3 + s**2 + 3*s + 3. Let r be x(-3). What is the smallest common multiple of ((-6210)/r)/5 - v/(-4) and 7?
364
Let j(z) = 617*z - 131. Let x be j(-5). Calculate the common denominator of -17/12 and (1 - 4/(-2)) + 9540/x.
804
Let b = 77963/2343456 + 17/14832. Find the common denominator of b and -5/2212.
17696
Suppose 4*w + 3*o + 61 = 0, 25 + 25 = -5*w + 5*o. Let s = 16 + w. Suppose -a = -5*y - 12, -y = 4*a - 5*a + 4. What is the least common multiple of s and a?
6
Let k = 11023436207/1110384 + -19055/7711. Let w = k - 9925. Calculate the common denominator of 23/4 and w.
144
Let n = -212/3 + 220/3. What is the common denominator of (-81)/(-4) + 6/36*0 and n?
12
Suppose 60*h - 293*h = 100*h - 947052.