at is the common denominator of 99/14 and v?
10766
Suppose 0*i + 2*i - 20 = 0. Let r(x) = 4*x - 21. Let j be r(i). Let y = j + -14. What is the lowest common multiple of y and 11?
55
Let t = 15665/9 - 1743. Let l = 182 - -18. What is the common denominator of t and l/6*(65/(-6) - -11)?
9
Let m = 555787/1442208 + 2/45069. Find the common denominator of 59/16 and m.
96
Suppose 355*a - 352*a - 2961 = 0. What is the smallest common multiple of a and 705?
4935
Suppose -41*i + 8721 = -83*i + 61*i. What is the lowest common multiple of 408 and i?
3672
Suppose 0 = 2*z + 2*l - 10118 - 2518, -12630 = -2*z - l. What is the smallest common multiple of z and 24?
6312
Let u = 2/2143 + -40745/30002. Let b be (-2)/8 - (-101245)/(-6). Let i = b + 16884. Calculate the common denominator of u and i.
84
Suppose -23*j + 165 - 27 = 0. Let d(t) = -t - 1. Let v be d(-5). Find the common denominator of -93/76 and (314/16 - j)*v/(-9).
684
Suppose -26 + 350 = 4*g. Let f be 18/g - 475/(-9). Calculate the lowest common multiple of (f/(-2) + -1)*8/(-10) and 12.
132
Find the common denominator of ((-4)/(-6))/(414000/(-19875)) and 13/1656.
1656
Suppose 0*s + 42 = -3*s + 2*v, -38 = 2*s + 2*v. What is the least common multiple of (2/(s/(-36)))/(4/8) and 21?
63
Suppose 4*x - 10 = 2*x, 3*x = 2*o + 73. What is the common denominator of (8 + (-162)/21)/((-6)/o) and -91/12?
84
Let f(p) = 10*p**2 - 49*p - 49. What is the least common multiple of f(-1) and 13?
130
Suppose 5*s = 20, 3*s = -5*g + 7*s + 4. Find the common denominator of -71/36 and (g*1014/24)/42.
252
Find the common denominator of -53/6472 and (-14)/48*-3*(-595)/85.
6472
Let c be (5/(-5))/((-2)/(-8)). Let w = c + 6. Let r(f) = 35*f**2 - 2*f - 3. Calculate the least common multiple of r(-1) and w.
34
Suppose 3*s = -2*m + 45, -3*s - 3 = -4*m + 60. Calculate the least common multiple of 7522 and m.
67698
Find the common denominator of 29/384 and (-1*4/144)/((-4880)/(-24339)).
1920
Let p = -3554555/2 + 1738216. Let i = p - -2812327/72. What is the common denominator of -36 and i?
72
Let r(t) = -49*t + 416. Let g be r(24). Let x = g + 770. Let m = -3 - -15. What is the smallest common multiple of x and m?
60
Suppose 4*g + 3*k = 30, -2*g - k = -0*g - 14. Let b be 3/g - (-45854)/4. Let z = 68635/6 - b. What is the common denominator of -137/24 and z?
24
Let l = -71213071/1320 + 269749/5. What is the common denominator of l and -79/936?
10296
Suppose -5*b + 3*w + 48 = 0, -4*b + 6*w + 56 = 8*w. Let t = -20003/9 + 2227. Find the common denominator of b/(-66) - (0 - (-542)/286) and t.
117
Suppose 3*h - 31 + 10 = -3*m, 4*h = -3*m + 26. Suppose -5*g - x + 38 = 3*x, 35 = h*g + 5*x. What is the least common multiple of g and 40?
40
Let c = 979 - 947. Calculate the least common multiple of 68 and c.
544
Suppose -14*l + 9*b + 1810 = 11*b, 5*l + 2*b - 658 = 0. Suppose 2*d - 23 = -9. What is the smallest common multiple of l and d?
896
Let v = -27/443 - -40721/682663. Let b = v - 63145/27738. Find the common denominator of b and -1 + 0 + (-212)/64.
144
Let g(n) = -6*n**2 - 3*n + 2. Let r be g(1). Let b = r - 21. What is the common denominator of -113/30 and (b/144)/(2/(-16))?
90
Let l(d) = d**3 - 21*d**2 + 39*d - 19. Let k be l(19). Suppose k*v = -3*r - 5*v + 160, 2*v + 170 = 4*r. What is the lowest common multiple of r and 45?
45
Let d(i) = i**2 - 7*i + 4. Let m = -123 + 131. Let k be d(m). Calculate the common denominator of (-184)/18*(-6)/k and 59/69.
207
Let j be ((-221)/(-78))/(5/(-18754)). Let n = j - -10632. Calculate the common denominator of n and 139/12.
60
Let o(v) = -v**3 + 16*v**2 + 31*v + 21. Calculate the least common multiple of o(15) and 869.
7821
Suppose 427*o = -c + 424*o + 206, -2*c + 407 = o. Calculate the lowest common multiple of c and 377.
2639
Suppose -104*g = 26*g - 46410. Calculate the lowest common multiple of 147 and g.
2499
What is the common denominator of (-83725)/(-141840)*(6/40 + 0) and -21/16?
192
Let s = 21 + -10. Let h = 5 + s. Suppose 62*k = 5*d + 75*k + 7, -52 = -4*d - 4*k. Calculate the lowest common multiple of h and d.
176
Let n be ((-2)/128)/(216/(-25392)). Let m = n + -1/288. Find the common denominator of m and 53/18.
18
Let r(f) = f**3 - 9*f**2 - 5*f + 27. Let w be r(10). Calculate the common denominator of -61/12 and (-22)/w - 734/(-266).
228
Let o(w) = w**3 + 14*w**2 + 11*w + 17. Let f be o(-13). What is the common denominator of -86/15 and f/2*(-36)/630?
105
Suppose o - 2*p - 2 = 2*p, -2*p = -5*o + 10. Suppose 5*m - 155 = -i, -20 = m - o*m + 2*i. What is the common denominator of 79/26 and -3*m/144*(-14)/(-10)?
104
Let u = -5/57 + -695/1824. Let c = -2/17847 - 279595/71388. What is the common denominator of u and c?
96
Let h(y) = 9*y - 34. Let o be h(16). Suppose -7*w + o = -2*w. Suppose 2*l = 14 + w. What is the least common multiple of 33 and l?
198
Let j be 17*20/1870 - 2188/(-5269). Let l = j - -48863/34488. Calculate the common denominator of 29/8 and l.
72
Find the common denominator of (1054/244 - 4)*(-33)/(-324)*-2 and 1/854.
15372
Let k = 136393/4727016 + -13/4648. Calculate the common denominator of k and 43/24.
8136
Let h = 666 - 658. Let u(w) = -w**3 - w**2 + 2*w - 10. What is the smallest common multiple of u(-4) and h?
120
Suppose -10*a + 120 + 50 = 0. Let s = a + 5. What is the smallest common multiple of 2 and s?
22
Let c be (5534*(-866)/(-216))/((-2)/(-3)). Suppose -3*r = 3, -r + 86141 = -5*z - 80243. Let w = z + c. Calculate the common denominator of w and 39/14.
252
Let l = -1879/1200 - 1/1200. Calculate the common denominator of ((-275)/75 + -1)/(15/(-2)) and l.
90
Let l = 86327 + -15884093/184. Find the common denominator of l and -73/92.
184
Suppose 3*b = 184*q - 185*q + 1314, -3*b + 5229 = 4*q. Calculate the lowest common multiple of q and 21.
9135
Let x(t) = -2*t + 30. Let d(k) = -2*k - 9. Let w be d(-12). Let j be x(w). What is the least common multiple of 11 and (1 + j/(-3))/((-1)/(-13))?
143
Suppose -865 = -4*m - 5*t, -3*m - 2*t = 3*t - 655. Calculate the common denominator of 131/70 and 473/m - -2 - (-12)/(-15).
210
Let l = 128111/24 - 5340. Let f be 2177121/693 + (-12)/42. Let s = f + -3141. Calculate the common denominator of l and s.
264
Let n(t) = -20*t + 0*t + 2*t + 5*t + t. Calculate the lowest common multiple of n(-1) and 387.
1548
Suppose 8*h + 276608 = -8*h. Let o = 933673/54 + h. Calculate the common denominator of o and 5/14.
378
Let h(y) = -1417*y - 46. Let d be h(-9). Let q = -711555/56 + d. What is the common denominator of q and 11/8?
56
Suppose 8*v - 1582 = -3*t + 10*v, 0 = 2*t - 2*v - 1054. Find the common denominator of (-2)/7*(-11627)/t and -16/33.
264
Find the common denominator of 117/10 and ((-4529)/(-476))/(-2 - -4) + -4.
680
Suppose 2*j - 3 - 1 = 0. Suppose b = -j*b + 54. Calculate the smallest common multiple of b and (-125)/(-100) + 103/4 + 5.
288
Suppose 0 = -2*d - 10, 3*d + 415 = -11*w + 15*w. What is the lowest common multiple of w and 132?
3300
Suppose -5*j = 3*v - 29, -3*v + 5*j = 2*j - 21. Suppose 29 + 43 = 4*y. Calculate the smallest common multiple of y and v*(-4*(-9)/6 - 4).
144
Let q = -1411 + 7078/5. Let l be (-3)/32*4/(-12). Let s = -179/96 + l. Find the common denominator of q and s.
30
Let a = -184 + 216. Suppose -4*y = 4*d - a, -8*y + 40 = -3*y + 2*d. Calculate the smallest common multiple of y and 36.
72
Let g(t) = 5. Let b(a) = -a + 5. Let s(r) = 2*b(r) - 3*g(r). Let l be s(-4). What is the common denominator of (-16)/(-12)*((-7)/1 + l) and -16/79?
237
Let j = -143/71 + 4525/3692. Let u be 5 + -8 - (-31245)/(-18). Let i = u + 1747. Find the common denominator of j and i.
156
Let p be (-4833)/(-18) - 2/(-4). Suppose 5*b - o - p - 45 = 0, 0 = 3*b - 3*o - 186. Let l = b - 52. Calculate the lowest common multiple of 3 and l.
33
Let k = 33 - 123. What is the common denominator of -41/104 and (-5)/(k/6) + (-754)/120?
520
Calculate the common denominator of -80/2691 and ((-24)/(-180)*-5)/(2/37).
2691
Find the common denominator of -2 + (-1 - -9) + 87/(-7) and 41/2200.
15400
Let a be 1383/12*2*-2. Let b = a - -2897/6. Let l = 6736/285 - -3/95. What is the common denominator of b and l?
6
Suppose 3*m = 5*m - 4. Suppose 2460 = 11*k + 1602. Calculate the lowest common multiple of k and m.
78
Let s = 54751/84 - 2631/4. Let a = 