-3*q - 13. Let i be z(-5). Suppose -1 + 3 = 5*x - 2*f, 8 = -i*x + 3*f. Suppose x*r = -14*r + 48. What is the smallest common multiple of r and 19?
57
Let n = -42/11 - -7/22. Let a = -8171/7280 - -10/91. What is the common denominator of a and n?
80
Let i = -26 + 57. Suppose 7*v = -i + 3. Let b(m) = -m**3 - m**2 + 12*m + 4. What is the least common multiple of b(v) and 11?
44
Let v = -4 - -8. Suppose v*b = 4*z + 5*b - 29, -1 = -z + b. Let k = 6357 - 6346. Calculate the smallest common multiple of k and z.
66
Let u(v) = 2*v**2 + v - 1. Let c be (-10)/35 + 760/14. Let r = c - 57. Calculate the lowest common multiple of 14 and u(r).
14
Let g = -48910 - -2053759/42. Let m be (-1)/(-4) + 6136/(-224). Let h = m - g. Calculate the common denominator of 34/11 and h.
66
Let j(m) = -19*m + 3. Let h be j(6). Let w(o) = o**3 - 6*o**2 + 20. Let f be w(6). Calculate the common denominator of h/40 + (f/(-5) - -4) and -101/10.
40
Suppose -2*c + 54 = 4*f + c, -5*c = 10. Let b = 6351 - 114359/18. Calculate the common denominator of b and 19/f*140/16.
36
Calculate the lowest common multiple of 80 and ((-40)/(-320))/((-9)/(-24))*42.
560
Suppose 10 = z, 3*h - 702*z = -706*z + 58. Suppose 3*f + 20 = 5*f. Calculate the lowest common multiple of f and h.
30
Let t(i) = 15*i**2 - 2*i + 2. Let r be t(1). What is the lowest common multiple of 30 and (-6)/r*(-2 + -8)?
60
Let z(o) = 2*o + 21. Let b be z(-42). Find the common denominator of 9/382 and (1029/b)/(1/(6/(-32))).
3056
Suppose 2*r - 4 = 2. Suppose -4*j + 10 = s - 20, -r*j - 60 = -3*s. Calculate the least common multiple of s and 6.
66
Suppose 345*t - 691*t = -338*t - 6960. What is the smallest common multiple of 348 and t?
1740
Let a(w) be the second derivative of 25*w**4/6 - w**3/3 - 2*w**2 + 169*w - 1. Calculate the lowest common multiple of 18 and a(2).
576
What is the common denominator of (4/(-2))/(2*-2 + (-10304)/(-1760)) and 40/153?
153
Let i(f) = -1420*f - 4300. What is the smallest common multiple of 1610 and i(-4)?
9660
Let a(c) = -c**2 + 14*c - 43. Let u be a(10). Calculate the smallest common multiple of 16 and (5 + u)/((-3)/6)*-8.
32
Suppose 6*t = t + 2*q - 753617, 5*q = 3*t + 452174. Let p = t - -85610641/568. Find the common denominator of 139/18 and p.
5112
Suppose -3*t - 2*t = -0*t. Let n(d) = -10*d + 99. What is the lowest common multiple of 21 and n(t)?
693
Let r(i) = -i**2 - 11*i + 3. Let v be r(-11). Let g be 4*(-3)/4*(-61)/v. Suppose 0 = -8*u + 11 + g. What is the lowest common multiple of u and 9?
9
Suppose 10440*k - 10453*k + 22230 = 0. Calculate the lowest common multiple of 30 and k.
1710
Suppose -a + 19 + 49 = 0. Suppose -64*r = -a*r + 256. Calculate the least common multiple of 88 and r.
704
What is the common denominator of (-5)/(-100)*4 + (-102066)/23880 + 4 and -11/18?
7164
Calculate the common denominator of (-6)/27 + -96*56/(-16821) and ((51/126)/(-17))/((-1)/(-4)).
1869
Suppose -3*t + 3 = -105 - 18. What is the lowest common multiple of 1302 and t?
1302
Suppose -5*p - 55 - 155 = 0. Let x be (-6)/21 - (-93)/p. Let d = 57/14 - x. What is the common denominator of 52/9 and d?
63
Suppose -4*b - 2*t + 76 = 0, -3*b + 4 = -5*t - 66. Let j(v) = -v + 6 + 6 + 2*v**2 - b. What is the smallest common multiple of 16 and j(-6)?
560
Suppose b = -20*b + 2478. Calculate the lowest common multiple of b and 8.
472
Suppose 335*w = 28*w + 19341. Let a = 2 - -4. What is the lowest common multiple of w and a?
126
Let o be 3*(-4)/10*(-350)/186165. Let j = -32497/3546 - o. Find the common denominator of j and -15/692.
2076
Let c be 677565/(-123186) + (-2)/(-14). Let t be 1*(-2334)/1257 - -2. Let m = c + t. What is the common denominator of m and 53/22?
154
Let i = -3/12871 - -1634725/463356. What is the common denominator of (-2)/5 - (30 - (-26180)/(-800)) and i?
360
What is the smallest common multiple of 316 and (0 - (-4)/(-6)*2)/((-90)/945)?
2212
Suppose 0 = 2*l + 3*q - 2, 19*l - 19 = 14*l - 4*q. Calculate the common denominator of -30/77 and l - 3687/378 - 5/(-2).
693
Calculate the common denominator of -7/75 and 5/1 + 38/(-60) + 17/(-34).
75
Suppose 6*s - 10 = 2. Suppose -781 = -8*j + 3*j - 3*y, s*j + 3*y = 316. Calculate the common denominator of 59/60 and 42/(-35)*j/(-16).
120
Suppose 26*h = -115 + 1129. Suppose -42*f = -h*f - 72. Calculate the lowest common multiple of 22 and f.
264
Suppose 5*s = -2*y - 6, 110*y - 113*y = -3*s - 12. Suppose 5*x - 303 = 2*x. Let o = x - 37. Calculate the smallest common multiple of o and y.
64
Let x(i) = -i**2 - 3*i + 58. Let j = 341 - 349. What is the least common multiple of 2 and x(j)?
18
Let q(b) = -b**3 - 9*b**2 - 21*b - 92. Let d be q(-8). Let h be ((-168)/21)/(2/(-6)). Suppose -6*m + d = -h. Calculate the least common multiple of m and 38.
114
Find the common denominator of (1/(-114))/(72/636) and 83/2565.
10260
Let n = 7566 + -7260. What is the lowest common multiple of 51 and n?
306
Let i(n) = 23*n. Let j be i(-1). Let m = -12 - j. What is the lowest common multiple of 8/(-16) + 45/6 and m?
77
Suppose 0 = 7*g - 3*g - 88. Suppose g*z - 2669 = 631. Calculate the least common multiple of 10 and z.
150
Calculate the least common multiple of ((-161)/(-3) - -1) + -3 + 30/9 and 155.
1705
Let x = 15058/31 - 440066/279. Let p = x + 1090. Calculate the common denominator of 35/12 and p.
36
Let f = 12486161/90 - 138737. Find the common denominator of 55/423 and f.
4230
What is the least common multiple of 34 and (-1)/(11/154) + 12 - -840?
14246
Let j = 25663/6285 - -21/419. What is the common denominator of -31/15 and j?
15
Suppose 4 - 12 = -2*z. Let q = -164279/12 + 13678. Calculate the common denominator of q and 1 - (z - (-86)/(-36)).
36
Let b be 0 + (494/5820270)/((-12)/(-1138910)). Let p = -2/30633 - b. What is the common denominator of p and (-166)/20*(-1)/(-6)?
180
Let o = -66 + 60. Let s be ((-4)/o)/((-4)/144*-8). Suppose 0 = s*b - 0*b - 42. Calculate the lowest common multiple of 46 and b.
322
Let b be (3 - (-409292)/(-212))*91/21. Let x = -8353 - b. Find the common denominator of 5/9 and x.
477
Let b = -28786 - -806111/28. Calculate the common denominator of 59/3360 and b.
3360
What is the lowest common multiple of 35/((20/72)/((-3)/(-9))) and 688?
14448
Let q be 3 + 4/(-2) + 0. What is the common denominator of q + (-3)/24*-106 and ((-1)/(13 + -19))/(1/(-119)) - 0?
12
Let i = -6865 - -6887. Calculate the smallest common multiple of (1 - 0 - -4)*6 and i.
330
Calculate the common denominator of 43/2745 and ((-3635)/610 - -6)*(-42)/150.
5490
Let l = -2528 - -35419/14. Calculate the common denominator of -15/4108 and l.
28756
Let p = -2207/8 - -32497/120. Calculate the common denominator of 47/770 and p.
2310
Let d = 20701/19 - 1089. Calculate the common denominator of d and ((-8)/6)/(154/(-759)).
133
Calculate the smallest common multiple of 371 and 6/15*6/4 + (-624)/(-10).
3339
Find the common denominator of (5012/154 - 33)*19/2 and (-547)/1030 - (-6)/15.
2266
Suppose -5*f + 5*q + 245 = -3*f, -662 = -5*f - 4*q. What is the smallest common multiple of 10 and (2/(-10))/((-13)/f)?
10
Let f = 111460 - 53055005/476. Calculate the common denominator of 113/442 and f.
6188
What is the common denominator of (-1147388)/115878 + (-10)/4*-4 and -81/62?
1302
Let y = -12/2605 + -9539/78150. What is the common denominator of y and -37/2250?
2250
Let t(k) = 173*k - 2929. What is the smallest common multiple of t(17) and 4724?
14172
Let p(l) = 842*l**2 - 959*l - 2. Calculate the smallest common multiple of p(2) and 1086.
4344
Suppose -9 = -5*j + 3*z, 2*j = 3*z - 0*z. Let d(m) = -2*m**3 + 2*m**2 - 4*m + 3. Let f be d(1). What is the least common multiple of j and 12/2 + f + 1?
6
Let k = -193/6 - -127/4. Let a = 511673/48 + -10657. What is the common denominator of a and k?
48
Let l(f) = 3*f**2 - f + 28. Suppose p + 6 = 41. Calculate the least common multiple of l(0) and p.
140
Let x(k) = 12*k + 8. Suppose 90*t + 54 = 96*t. What is the smallest common multiple of x(t) and 14?
812
Suppose -4*z = 2*y + 892, 0*y + 5*z = -y - 455. Calculate the common denominator of 1/14 and (12/(-63))/(y/(-900)).
154
Let z be (-4)/(-6)*(-2 + (-3367)/16). Let k = z - -147. Let v = -4813/4 + 1212. Calculate the common denominator of v and k.
8
Let z be 6/(-4) - 5*24/(-80). Suppose z = -12*k + 