.
6000
Suppose -375*t + 370*t + 80 = 0. Let c(z) = 3*z**2 - 2*z - 3. What is the smallest common multiple of t and c(-5)?
656
Let d = 41928788/389 + -107786. Let g = 9963/2 - 20015/4. Find the common denominator of d and g.
1556
Let a = -38812 + 39602. What is the smallest common multiple of 2686 and a?
13430
Suppose 2*c = 5*q - 1422, -2*c = -q + 158 + 128. What is the smallest common multiple of q and 248?
17608
What is the common denominator of 89/10 and -14 + 31700/10960 - -11?
2740
Let f(c) be the first derivative of -c**2 - 4*c + 3. Suppose -4*n = 5*z - 28, -4*z + 0*n + 17 = 5*n. What is the lowest common multiple of f(-4) and z?
8
Let p = -1/781862 - 59029459/877249164. What is the common denominator of -9/14 and p?
15708
Let s = 221347 + -132808301/600. Find the common denominator of s and 137/12.
600
Let q(j) be the first derivative of -j**2/2 + 7*j + 20. Let d(x) = -11*x. Calculate the least common multiple of q(-7) and d(-2).
154
Find the common denominator of (231/(-10))/(((-20664)/15)/14) and 11/3280.
3280
Let i be (3 - 2)/((-9)/(-2529)). Let x = -131 + i. Suppose 0 = 5*y - 3*w - x, 0 = -2*y + 2*w - 0*w + 64. Calculate the least common multiple of y and 36.
108
Let u(m) = 441*m**3 + m**2 - 5*m - 4. Let k be u(-1). Let t = k - -447. Calculate the smallest common multiple of 34 and t.
136
Suppose 4*a = m + 41, -5*a = 2*m + 30 - 104. Find the common denominator of a and 17/426.
426
Suppose -76*o = -47*o - 1913478. Let p = 14054134/213 - o. What is the common denominator of -119/6 and p?
426
Calculate the common denominator of 6/(-27) - (-9 + 1561/126) and 35/209.
3762
Let s be ((-80)/36*412/(-8))/8. Let j = -14/9 + s. Calculate the common denominator of (-4)/10 + (-559)/90 and j.
36
Let k(h) = -26*h. Let v be k(-1). Let n(y) = 10*y + 22. Let u(l) = l. Let r(f) = n(f) - u(f). Calculate the lowest common multiple of r(v) and 2.
256
Suppose -5*h - 4 - 4 = l, -3*l + 24 = 3*h. Calculate the common denominator of -51/10 and ((-4)/18)/(l/74*-3).
810
Let r = -211 + 133. Let b = 114 + r. Calculate the lowest common multiple of b and 8.
72
Suppose 2*l = -5*m + 1824, 3*l + 2*l - 10 = 0. What is the smallest common multiple of m and 84?
1092
Let m = -146 - -152. Let w(x) = -x**3 + 5*x**2 + 5*x + 7. Let j be w(m). Suppose -5*y + 55 = 2*p, y + 4 = -j. What is the lowest common multiple of 32 and p?
160
Let r = 101986661/338 + -301736. Suppose 0 = -2*b - 14514 - 21186. Let t = 356927/20 + b. Find the common denominator of t and r.
3380
Let l be 1/((-1 + -5)/(-30)). Suppose -2*i + 25 = 3*v, 0 = 2*i - l*i + 5*v + 9. What is the least common multiple of i and 340?
680
What is the common denominator of (1358/(-180) - 1) + (-66 - -75) and 101/440?
3960
Let p = 173/261 - 224627/342432. Calculate the common denominator of 145/96 and p.
3936
Let d(z) = z**3 - 20*z**2 + 12. Let x be d(20). Calculate the smallest common multiple of x/(-6) - (-1340)/10 and 16.
528
Let b = -4005/1526 + -2/109. Find the common denominator of b and -29/162.
1134
Suppose -z - 1 = l - 11, 5*l - 36 = -3*z. Suppose -h = -z*w + 9*w - 11, 1 = w. Suppose -7 + 0 = -c. What is the smallest common multiple of c and h?
63
Let a be ((-256)/6)/2*2025/50. Calculate the common denominator of 22194/a*(-4)/27 and -49/81.
324
Let s(d) = -d**2 + 9*d - 16. Let a be s(7). Suppose 0 = 4*v - 4*n - 4, -4*n = -4*v + v + 3. Calculate the lowest common multiple of 15 and v/(1/(-66)*a).
165
Suppose -5*i + 2*h = -2, 4*i + 3*h = 20 - 0. Suppose 4 = -i*b, -b - 42 = -2*w + 128. What is the least common multiple of w and 30?
420
Let s = -123821/56 + 2211. Calculate the common denominator of 6/329 and s.
2632
Let s(r) = 163 + 0*r**3 + r**3 + 27*r**2 - 12*r**2 - 182 + 21*r. Let t be s(-13). Suppose 7*m = t + 164. Calculate the smallest common multiple of 42 and m.
210
Let r(w) be the third derivative of w**4/24 + w**3/3 + 7*w**2. What is the lowest common multiple of r(0) and 2 + 28/7 - (-2 - 13)?
42
Let t = 355073/3 - 117089. Let k = 11494/9 - t. What is the common denominator of ((-24)/10)/4*19 and k?
45
Let d(p) = -2*p**2 - p. Let w be d(-1). Let o be (-3)/w + -4 - 12. Calculate the common denominator of -31/7 and (o/4)/((-3)/22).
42
Let p(r) = -24*r + 8. Let o = 1 + -7. Let b be p(o). Find the common denominator of 4389/b*(-4)/(-30) and 119/10.
20
Let m = 2/925033 + -12025473/20350726. Let g be -1*(1 + (-460)/454). Let d = -24689/4086 - g. Calculate the common denominator of m and d.
198
Let n = -114463888045 + 72112271745721/630. Let r be (-9)/(-21) - 1237692/35. Let c = n + r. What is the common denominator of c and 97/20?
1260
What is the smallest common multiple of 2378 and (-162)/18*-6 + 4?
2378
Let q be ((-4)/5)/(25/(-250)). Suppose 0 = 9*j - q*j - 4, -2*s + 12 = j. Calculate the smallest common multiple of s and 8.
8
Let z(u) = 389*u - 7036. Calculate the least common multiple of z(19) and 355.
355
Let t = 14586846695/21 - 704400721. Let n = -9786158 - t. Let g = 2817 - n. Calculate the common denominator of -37/30 and g.
210
Let i = -100276 + 22461867/224. What is the common denominator of -117/952 and i?
3808
What is the common denominator of 6/(-14) + (-20)/(-14) - (-883)/(-837) and 71/21?
5859
Let q be 2/4*(-4 - (9 + -9)). Calculate the common denominator of ((-3495)/(-1500) - 3) + q/5 and -77/60.
300
Let h = 7932033831/103 - 2429899134928561/31553020. Let t = h + -1/15317. Find the common denominator of (-291)/(-12) + -2 - (2 - 2) and t.
20
Let w = -4380 - -48139/11. Let m be (-291)/5*124/(-6). Let s = m + -1196. Calculate the common denominator of s and w.
55
Suppose 4*a + 2*n = -10, 3*a - 10 = 4*n - 1. Find the common denominator of (2/48)/(6/(-1140)) and ((-59)/4)/((-4 - -3)*a).
12
Let y = 47 + -45. Suppose -3*d + 395 = 2*d - 4*n, -4*n - 158 = -y*d. Suppose w + d = 4*i - 39, -3*i - w = -85. Calculate the lowest common multiple of i and 2.
58
Suppose 14*u - 10*u - 8 = 0. Let i(z) = -5*z + 4*z - 4*z + z**3 + 2*z**2 + 2. Calculate the lowest common multiple of i(u) and 14.
56
Suppose 10569 - 300573 = -676*z. Let y(c) = 33*c**2 - c + 1. What is the least common multiple of y(1) and z?
429
Let p be (-12)/8 - -127*6/(-4). Find the common denominator of (3 - 0) + 206/(-18) and (2/p*-6)/(3/(-546)).
72
Calculate the common denominator of -53/24 and 18/12 + (-1312)/972.
1944
Calculate the common denominator of -105/782 and 837/540 + 1*(1 + -6).
7820
Let w = -7362643/150 + 49084. What is the common denominator of 61/330 and w?
1650
Let s(c) = 31*c - 162. Let x be s(-23). Let q = -805 - x. Calculate the smallest common multiple of q and 80.
560
Find the common denominator of -53/548 and (124/6200)/(2/(-5)).
2740
Suppose -11*h + 6*h + 155 = 0. Suppose -5*o - 5*q = 460, -3*q - 382 = 5*o + 72. Let f = o + 96. What is the least common multiple of f and h?
217
Suppose -2*c - 30 = -0*c. What is the common denominator of (-40)/(-380) + (-2350)/304 and 117/(-120)*4/c?
200
What is the common denominator of (-240)/(-360) + (-93)/(-6) and 3/470?
1410
Let p = 15/134 - 2796/737. What is the common denominator of p and -151/1482?
16302
Let l = -8618327/132 - -65291. Calculate the common denominator of 89/44 and l.
132
Let l = -3415/888332 - 3/1348. Let w be ((-27888)/(-392))/(21088/854). Let d = l + w. Find the common denominator of d and 11/20.
40
Let s(z) = -93*z + 1445. Calculate the least common multiple of s(15) and 3/(2/(-70)*-3).
350
Let a = -338709 + 149370736/441. Find the common denominator of a and 31/27.
1323
Suppose -4*m = -3*m + v - 6868, -5*m - 2*v = -34340. Let r = m - 96193/14. Let o = 9953/6 + -1637. Find the common denominator of o and r.
42
Calculate the smallest common multiple of 161 and 140/6*3 + 22.
644
Let b = 2628 + -1206. Suppose 0 = n - v + 1105, -b = 4*n + 2*v + 3016. Calculate the common denominator of 2/(n/316 + 3) and -47/100.
100
Suppose 4*v - 86 = 5*i + 6*v, 38 = -2*i - 2*v. Calculate the common denominator of (-2)/i + 2059/(-232) and -109/14.
28
Let b = -460561/10 + 46003. Let u = 2357/45 + b. Find the common denominator of ((-4)/(-294))/((-24)/(-462)) and u.
126
Let m be (-316)/58 + 23 + -19. Let w = m + 443/406. What is the common denominator of w and ((-552)/(-36))/(24/10)?
126
Let k = -497352081/1112 + 447259. Find the common denominator of k and 11/48.
6672
Let k = -1/50432 - 