1328. Let r be v/22 - (-4)/(-22). Suppose r = -q + 19. Calculate the lowest common multiple of q and 5.
20
Let g(m) = m**2 - 7*m - 14. Suppose 4*i - 71 - 45 = 0. Let w = 17 + i. Calculate the least common multiple of w and g(10).
368
Let b be 3/(-4) + (-1086)/(-8) + 1. Suppose 5*c + 14*x = 12*x + 325, 2*x - b = -2*c. Calculate the lowest common multiple of c and 54.
378
Suppose 5*y + 10 = 0, -y = -f - 0*f + 14. Let o be 15/9 + (4/f)/1. Suppose o*u - 2 = -3*j, -2 + 8 = -2*u - 5*j. Calculate the lowest common multiple of u and 8.
56
What is the common denominator of 4/(-3696)*-122 - 126/1386 and 197/330?
2310
Let q(j) = j**3 - 9*j**2 - 12*j - 58. Let v be q(-9). Calculate the smallest common multiple of 24 and (v/220)/(1 + 74/(-70)).
336
Suppose 3*k - 1521 = -3*p, -3*p + 27*k = 22*k - 1513. Calculate the lowest common multiple of p and 368.
4048
Find the common denominator of 41/132 and 24/(-56)*-2*-7 - (-48506)/8052.
8052
Let c = 57 - 33. Calculate the least common multiple of c and 10/(-35) - 130/(-14).
72
Let m = 5876241 + -35574762905/6054. Find the common denominator of m and 7/3.
6054
Suppose 1595 = -40*v - 2085. What is the common denominator of 8/v + 1107/828 and -99/118?
236
Let n = -4/92315 - -9326431/60374010. Find the common denominator of n and 29/8.
2616
Let l = 2/14685 - 12140/2937. Let y be ((-14410)/(-24))/5 - (-310)/248. Let n = 124 - y. Find the common denominator of n and l.
15
Let m(c) = -5*c**2 + 4*c + 2. Let g be m(4). Let u = 23059/9300 - -1/1860. Find the common denominator of u and 3/((16/g)/1).
200
Suppose -371*c + 448 = -315*c. Calculate the smallest common multiple of c and 1*(0 - (0 - 2)).
8
Let r(t) = 6*t + 170. Calculate the lowest common multiple of r(-7) and 120.
1920
Let y = -2702807/924 - -20480/7. Calculate the common denominator of (-3)/(-15) + (-1)/((-140)/1112) and y.
924
Let q = 217 - 212. Suppose -4*x + q*n = -27, -4*x = -0*n + 3*n - 35. Calculate the least common multiple of 34 and x.
136
Let q = 7711 + -7405. Calculate the smallest common multiple of 1275 and q.
7650
Suppose 5 = -3*o + 4*o, 2*o = 3*p - 470. Let d(b) = -9*b + 302. Calculate the smallest common multiple of p and d(14).
1760
Let g = 16 - 4. Let t = -48057/10 + 4810. Calculate the common denominator of 44/g + 3/4 and t.
60
Let l(o) = 4*o**3 + 8*o**2 + 8*o + 19. Let k be l(-5). Calculate the common denominator of (-1)/(-5) + k/(-70) and (4/(-20))/((-12)/(-10)).
42
Let d = -254951/151 + 343205845/15704. Let l = d + -20166. Calculate the common denominator of 65/12 and l.
312
Suppose -206*j + 7239 - 1059 = 0. What is the lowest common multiple of 438 and j?
2190
Let p(d) be the third derivative of d**4/24 + 13*d**3/6 + 15*d**2. Let y be p(-11). Calculate the smallest common multiple of (3 + 19)*y/4 and 2.
22
Suppose 0 = p + 2*y - 382, p - 2*y + 5*y - 377 = 0. What is the lowest common multiple of p and 42?
1176
Let f = 12457 + -10245. Calculate the smallest common multiple of 2844 and f.
19908
Let a = 132851/205470 - -6/3805. Suppose -2*x - x - 36 = 0. What is the common denominator of (-1*x/(-22))/(-4) and a?
594
Let x(r) = -r**3 - 19*r**2 - 18*r + 21. Let l(g) = g**2 + 10*g + 6. Let o be l(-4). Calculate the smallest common multiple of x(o) and 78.
546
Calculate the smallest common multiple of 160 and (-9 + 798/95)/((-1)/80).
480
Suppose 0 = 10*k + 13 - 53. Suppose k*s - 165 + 149 = 0. Let q(d) = 3*d - 7. Calculate the smallest common multiple of s and q(6).
44
Let x = -47/11 - -1337/264. Let o be (-5501708)/528 - (-2)/(-11). Let h = 10428 + o. Find the common denominator of x and h.
24
Let d = -413 + 412. Find the common denominator of 1/1 + (-122)/6 and 0 + -4 + d - (-474)/63.
21
Let z = -28569 + 29940315/1048. Let q be (-557320)/(-75456) - 2/3. Let y = z + q. What is the common denominator of y and -151/36?
36
Calculate the common denominator of (-545370)/(-1328250) - (-4)/(-11) and 98/975.
22425
What is the common denominator of 60/91 and 7771/2964 + 9/(-12)?
273
Let j = -78/7 - -887/84. What is the common denominator of j and ((-2)/200)/(1/(-54))?
300
Let n(x) be the third derivative of -x**6/120 + x**5/15 - x**4/12 + x**3/6 - 19*x**2. Let f = 53 - 48. What is the smallest common multiple of f and n(3)?
20
Let o(q) = 111*q**2 + 305*q + 306. Calculate the lowest common multiple of 2736 and o(-1).
19152
Suppose -5*h - 44 = 4*d - 19, 3*h - 66 = 3*d. Let x be (9 - 2) + (-2)/2. Suppose 0 = l - 0*l - x. What is the least common multiple of h and l?
42
Suppose 6*i - 1257 = -4617. Find the common denominator of 2012/i - 2/(-10)*1 and (-3)/18*(2 + 57/(-78)).
364
What is the common denominator of 7460880/(-1834560) + 1/(1/4) and 131/260?
5460
Suppose -2284*j + 2270*j + 84 = 0. Let q = -1935361/63 - -30721. Calculate the common denominator of q and 16/(-18)*j/(-48).
63
Let b be ((-24)/15)/(-1 + (-6)/(-5)). Let y be 2/b + 143/44. Suppose 2*a - 46 = -v + y*v, 0 = -3*v - 15. What is the smallest common multiple of a and 12?
36
Let l(a) = 3149*a - 9362. Calculate the lowest common multiple of l(3) and 1950.
33150
Suppose i - 5*o = 3705, -4*o + 14683 = 5*i - 3900. What is the smallest common multiple of i and 4?
14860
Let y = 45 - 30. What is the least common multiple of ((-150)/4)/(2210/(-52) - -42) and y?
75
Suppose -3*u + 27 = -0*u. Let k(p) = -p + 121. Let y(j) = -30. Let g(h) = u*y(h) + 2*k(h). Calculate the least common multiple of 7 and g(-16).
28
Let u = 7311 + -7301. Let z = 36 - 26. Calculate the smallest common multiple of u and z.
10
Suppose -5*n + 37 = -4*d, -19 + 6 = -2*n + d. Calculate the lowest common multiple of (-3094)/78*(-30)/70 and n.
85
Suppose -27*u - 18729 = -18891. Calculate the least common multiple of 6015 and u.
12030
Calculate the common denominator of (-1 - (-370)/378)/((-474)/1422) and (-176)/(-162) - (3 + -1).
567
Find the common denominator of (3/(135/207) - 4) + 723/(-720) and 12/(-20)*(-1 + 82/9).
240
Calculate the common denominator of ((-3302)/(-828) - 4)/((-60)/390) and 28/87.
24012
Let l = 10103233/240 - 42097. What is the common denominator of -91/40 and l?
240
Suppose 66 = -x + 63. Calculate the common denominator of 69/44 and x/10*(-1155)/162.
396
Let b = 3089 - 12419/4. Calculate the common denominator of (10/(19200/(-7270)) - 1) + 4/1 and b.
192
What is the common denominator of (-6)/10*10*(-3638)/6120 and -41/150?
150
Find the common denominator of (-1)/6 - (-1661)/(-132) and (1505/(-420))/((-2)/8).
12
Let g = -313256 - -191086059/610. Calculate the common denominator of 5/1098 and g.
5490
Let a = 589619/50720 + 1/50720. Let g = 1/2142 - -18385/1071. Find the common denominator of a and g.
24
Suppose -6*a + 19 = 25. Find the common denominator of -20/3 and (-3451)/945 + a + 4.
135
Suppose 78411 - 17688 = 53*f - 46602. What is the lowest common multiple of 3150 and f?
28350
Suppose -2*s + 3*f + 11 + 16 = 0, -3*f - 3 = 0. Suppose -117*g - s = -119*g. What is the smallest common multiple of 6 and g?
6
Suppose -78*o - 25 = -83*o. Suppose 4*y - 4*d + 100 = 0, 7 = 4*d - o. What is the common denominator of 11/(y/4) + (-37)/5 and -19/23?
115
Let y = 2095969637799/638245630 - 2/29011165. Let x(f) = 200*f - 85. Let g be x(-16). Let q = g + y. Calculate the common denominator of q and -49/16.
176
Suppose 2624 = -7717*w + 7725*w. Calculate the least common multiple of w and 1804.
3608
Let h = -4523 + 3230. Let n be ((-2)/4)/(3/h). Let v = -178 + n. What is the common denominator of -69/14 and v?
14
Let y(z) = z**3 + 4*z**2 + 2*z - 5. Let s be y(-3). Calculate the common denominator of (-306)/42 + s - -6 and -19/51.
357
Suppose 49 = -12*t - 23. What is the smallest common multiple of 91/2 - (-3)/t and 80?
720
Let b = -16418 + 2988075/182. What is the common denominator of b and -111/56?
728
Let i = 1093 - 7655/7. Let j(y) = -18*y + 3. Let v be j(-4). Let x = v - 45. Calculate the common denominator of i and x.
7
Let t = -12283/114 + 117/38. Let i = t - -2312/21. Calculate the common denominator of i and 109/6.
42
Suppose 1 = -3*g + 2*p, 0*g - g - 7 = -2*p. Let d = 9 + -7. Calculate the least common multiple of ((-18)/15)/(d/(-5)) and g.
3
Suppose -5*v = -4*l - 180, -4*v - v + 215 = 3*l. Calculate the common denominator of (10/40)/(25/v) and -59/12.
60
Let m be 6/(-24) + 45/4. Let i(w) = -25 - 5*w + 2*w + 50 + w. 