0. What is the lowest common multiple of (6/9)/(h/15) and 7?
35
What is the smallest common multiple of (21/4 + -5)/(2/408) - 3 and 444?
1776
Suppose -3*t + 2 = -4*g + 9, 2*g + 1 = 3*t. Suppose -4*v = 3*b - 19, -g*v - 4*b = -20 - 4. Find the common denominator of 83/4 and (196/6 - -2)/(-7 + v).
36
Let w(l) = -5*l**2 + l. Let v be w(1). Let c = v - -8. What is the smallest common multiple of c and 561/(-55)*60/(-9)?
68
Let g be ((-2)/(-10))/((-20)/5085). Let m be (-1903)/(-220)*-1*4. Let a = m - g. Calculate the common denominator of a and 127/36.
36
Calculate the common denominator of 13/60 and (2/12)/((-56573)/(-18487)).
24420
Let t = 9255 + -9235. Calculate the smallest common multiple of t and 796.
3980
Let t(z) = -26*z + 192. Let n be t(7). Calculate the smallest common multiple of 18 and (3393/(-145) - 6/n)/(-1).
72
Suppose 29038*w - 154 = 29031*w. What is the common denominator of -106/1365 and w?
1365
Suppose -16*a + 7834 + 9194 = 27*a. What is the least common multiple of a and 2952?
32472
Let b(i) = -i**3 + 20*i**2 + 6*i - 81. Let l be b(20). Calculate the common denominator of ((-158)/(-4) - 3)/(l/(-26)) and 82/15.
15
Suppose 0*d = 4*d. Let h be (-3)/(36/(-264)*-11). What is the common denominator of d - h/(-14)*-8 and -79/20?
140
Let r = 21217/33 - 643. Let n = -36/581 + -11419/31374. Find the common denominator of n and r.
594
Let d = 19498 - 19390. Calculate the least common multiple of 18 and d.
108
Let o(w) = 55*w - 16. Calculate the least common multiple of (12/10)/(((-66)/80)/(-11)) and o(4).
816
Let q = -1374/7 + 22476/119. Let n = 725/68 + q. Find the common denominator of n and (1/(-13))/(4/76).
52
Calculate the smallest common multiple of 66 and -8 + 10 + -7 - (0 - 2) - -102.
198
Suppose 15 = -5*y, 6*w - 9690 = w + 5*y. Calculate the least common multiple of 1505 and w.
13545
Suppose 22*d + 0*d - 420 = d. What is the least common multiple of d and 4500?
4500
Let q(z) = 9*z + 5. Suppose -69*b = -65*b - 136. Calculate the smallest common multiple of q(7) and b/8 + 1/(-4).
68
Let v(d) = 44*d**2 - d + 2. Let q be v(2). Find the common denominator of (2/q*62)/(3 + -4) and (-105)/6*1/15.
132
Suppose -11 = -3*n + 4. Suppose -15*z + 160 = -35. Let p = z - n. Calculate the least common multiple of p and 138.
552
Let j be ((-514)/6)/(48/(-160)). Let n = j - 35017/126. Let s = -113681/14670 + 22/815. Calculate the common denominator of n and s.
126
Let p be (-18)/(-15)*(18/(-4) - -2). Let k be ((-584)/(-24) + -1 + 0)*p. Let b = -50 - k. Calculate the smallest common multiple of b and 8.
40
Let x = 27/1727 - -4314/115709. Find the common denominator of x and -29/670.
7370
Let n = -4/27721 - 3076871/1108840. Suppose -5*i + 2*o + 171 = 0, -3*i + 87 = 2*o + 2*o. Calculate the common denominator of 9/(-3) - (-105)/i and n.
440
Let a = 32133 + -2570739/80. Find the common denominator of 13/64 and a.
320
Suppose 0 = 3*n + 3*z - 1035, 430 + 275 = 2*n + 5*z. Let s = 347 - n. Calculate the lowest common multiple of s and 59.
413
Suppose -l - 3 = -4. Suppose -l = -2*k + 3. Let d(o) = -11*o - 241. What is the smallest common multiple of d(-22) and k?
2
Find the common denominator of (-10 + 968/96)*555/85 and 43/44.
748
What is the common denominator of 27/559 and -24*(10448/1161 + -9)?
5031
Let c be 11 + -73 + -6 + 2. Let u be (-3674)/c - 8/(-6). Suppose u = 3*r + 3*s, 2*s = -r + 4*s + 28. What is the least common multiple of r and 16?
176
Let v(r) = 22*r - 54. Let f = 202 + -199. What is the least common multiple of v(f) and 312?
312
Let h = 12867789/85 + -151385. Calculate the common denominator of h and 165/25 + (-2)/6.
255
Let w = 11/1163 + 22855/411702. Calculate the common denominator of 103/2124 and w.
2124
Let v(x) = -2*x - 11. Let a be v(-5). Calculate the common denominator of (43/(-15))/(a/3) + -5 and -61/3.
15
Let o(h) = -9*h + 106. Let i be o(14). What is the common denominator of -1 + (-72)/15 - 5/i and 23/10?
20
Let o(u) = 35*u + 140. Let v be o(-31). Find the common denominator of (-20)/(-2)*98/v and 5/12.
108
Let t(m) = m**2 - 5*m - 6. Let i be t(4). What is the common denominator of 50/9 and (211/9 + i/(-30))/(-4)?
18
Let o = -133 - -129. Let r be 126*o*2/12. Find the common denominator of (-511)/r + (-1 - 9/(-12)) and 121/6.
6
Let i = -370 + 3733/10. Let v = -69257/605080 - -3/17288. Calculate the common denominator of v and i.
70
Suppose -2291 + 1031 = -10*f. Calculate the smallest common multiple of f and 182.
1638
Let n = -41103 + 4069249/99. Let g = 360661/81 - 4452. What is the common denominator of n and g?
891
Suppose -27*o = -132565 + 17869. What is the smallest common multiple of o and 72?
4248
Suppose 0 = -3*w - 5*y + 16, 0*w + 25 = -5*w + 2*y. Let k be (-3)/(63/(-36295)) + 1/w. Find the common denominator of 27/10 and 2*2/(-26) + k/(-260).
10
Suppose 3*z - 32 = -2*y + 66, 12 = 3*y. Suppose -m - 5 = 4. Calculate the least common multiple of z and ((-15)/m)/((-1)/(-6)).
30
Suppose 103 = 8*s - 329. Suppose s*t = 57*t - 9. What is the smallest common multiple of t and 150?
150
Let v = 242 - 60. Let k = 210 - v. Calculate the lowest common multiple of 42 and k.
84
Suppose -95*h - 5928 = -3*h - 40704. What is the smallest common multiple of h and 594?
4158
Let b(g) = 24*g**2 - 2*g - 8. Let f be b(-2). Suppose 4*q = 80 + 384. Let n = q - f. Calculate the lowest common multiple of n and 10.
120
Let l(p) = 16*p - 92. Calculate the least common multiple of l(7) and 40/12*45/1.
300
Let u = 11087/42735 - 53/165. Find the common denominator of -65/222 and u.
1554
Suppose 8 + 10 = 6*k. Let c be 8/(-20) + k/(930/(-5676451)). Let j = c - -18311. Find the common denominator of 71/22 and j.
682
Find the common denominator of 81/92 and (-1040)/(-432)*198/44.
276
Let k = -13085 - -209279/16. Let u = 1021/126 + -419/36. What is the common denominator of u and k?
112
Let x be ((35/11140)/7)/1. Let l be ((-12117)/(-27))/((-557)/3). Let k = x + l. Calculate the common denominator of 71/18 and k.
36
Suppose 0 = 2*c + 2*c + 8. Let w(r) = r + 8. Suppose 0 = -5*d + 22*d - 374. Calculate the smallest common multiple of w(c) and d.
66
Calculate the common denominator of (-72 - -82) + (-1002)/120 and -127/1540.
1540
Let r = -3505/19481 + 12/121. Calculate the common denominator of -53/437 and r.
3059
Let y = 464 + -469. Calculate the common denominator of 3 + y + 2*(-1052)/(-1488) and -21/4.
372
Let o(y) = -5418*y + 37929. Let k = 12 - 7. Suppose -85 = -k*v + 2*j, 0 = -5*j - 22 - 3. Calculate the smallest common multiple of v and o(7).
15
Let x = -17491/11 + 1572221/990. What is the common denominator of x and -99/488?
21960
Suppose -40 = 2*k - 5*v, 5*k - 5*v - 13 = -83. Find the common denominator of 1 + 1 + 8/18 and (4/k)/(5 + (-2392)/472).
90
Let u be 5 - 4 - (27*8 - 0). What is the common denominator of (-43)/u - (-398)/1110 and -7/15?
555
Let a be ((-560)/16)/((-1)/(-2)). What is the smallest common multiple of 20 + (-3 - (3 + -8)) and (-152)/(-7) + (-20)/a?
22
Suppose -79*r + 2622 = -10*r. Calculate the smallest common multiple of r and 62.
1178
Let i = -2442 - -19581/8. Let c be 12/(-8) - 1995/(-1334). Let v = 32716/7337 + c. What is the common denominator of i and v?
88
Suppose -2*m - 46 = -4*t, 7*t - 3*t - 47 = m. Let x be ((-40)/(-14))/((-22)/(-847)). Let r = -101 + x. Calculate the lowest common multiple of r and t.
36
Let v = 521765/616 + -9308/11. Let t = 34813/14 + -2488. Calculate the common denominator of t and v.
56
Suppose 88264 = 9*f + 50*f. What is the least common multiple of 1309 and f?
10472
Let o(c) = -5*c**3 - 25*c**2 + 2*c - 6. Let b be o(-7). Suppose -5*g + 2*v = -b, v - 15 + 10 = 0. What is the lowest common multiple of 120 and g?
480
Let k = 62 + -60. Suppose -s = -4*d + 88, -3*d - d + k*s = -92. Let b = d + -15. Calculate the smallest common multiple of 6 and b.
6
Let y = -9/311 - 16240/8397. Let z(x) = x**2 - 8*x + 11. Let m be z(6). What is the common denominator of 384/(-84)*m/(-12) and y?
189
Let t(j) = -j**3 + 34*j**2 - 77*j + 90. Calculate the smallest common multiple of t(30) and 2484.
12420
Suppose -2 = -3*a + x - 3*x, 5*a - 4*x - 18 = 0. Suppose a*i + 10 = i. Let y = 50 + i. What is the smallest common multiple of y and 4?
40
What is the common denominator of -57/115 and (174/(-4785))/((-1)/(-29))?
1265