ltiple of s and t?
48
Let n(p) = 23*p**3 - 2*p + 3. Let i be n(1). Suppose t - i*t + 207 = 0. Calculate the smallest common multiple of t and 6.
18
What is the common denominator of -49/45 and (2600/(-218400))/((-794)/(-854) - 1)?
360
Let p = -337 - -225. Let x = 124 + p. What is the smallest common multiple of x and 20?
60
Let c be ((-1000)/274 - -3) + 1. Let l = c + -14893/3014. What is the common denominator of l and (-949)/(-247)*(3/(-6) + 0)?
418
Suppose 32 = 5*u + 2*a, u - 6*u - a = -31. Let f be (64/u)/(4/6). Suppose -f*h + 19*h = 24. What is the least common multiple of h and 4?
8
Let d(m) = -39*m - 11. Suppose 3*a + 2*k + 8 = 27, 5*a = k + 23. Let j be d(a). Find the common denominator of 83/6 and 12/(-42) - j/(-112).
24
Suppose 0 = 3*u - 24 + 6. Suppose r - u*r - 5*v = -120, -74 = -3*r - 4*v. Suppose 4*n = 164 - 84. What is the smallest common multiple of n and r?
220
Suppose 34*d = 26*d - 1296. Calculate the common denominator of -47/4 and -5 + (d/120 - -2).
20
Let k(m) = -m**2 + 2*m + 25. Let x be k(6). What is the least common multiple of 76 and (23 + 3 - x) + (-50)/10?
380
Let w(z) = -9*z**3 + 4*z**2 - 26*z - 78. What is the smallest common multiple of w(-3) and 930?
2790
Suppose 6*k - 52*k = 33*k - 9006. Calculate the lowest common multiple of 190 and k.
570
Let f(v) = v**3 - 2*v**2 - 5*v - 2. Let c be f(-2). Let o be 45/(-20)*c/3. Calculate the common denominator of -29/12 and ((-655)/(-60))/(9/o).
36
Let t = 19399/5 - 8612831/2220. Find the common denominator of t and 11/16.
1776
Suppose -5*f - 28 = 4*h, -3*f + 33 - 55 = 5*h. Calculate the lowest common multiple of 12 and ((-13)/(-3) + -5)*h*6.
24
Suppose 0 = 18*f - 22*f - 12, -57 = -4*g + 7*f. Suppose -2*t + 4*z + 12 = 2*t, 4*z = -3*t + 23. Calculate the least common multiple of t and g.
45
Calculate the common denominator of (-20141)/(-2112) + 3 + (-108)/9 and -127/66.
2112
Let d = 36659037/88 + -416580. What is the common denominator of d and (109/28)/((-30)/(-7))?
1320
Let v(w) = -w**3 - 2*w**2 + 4*w + 4. Let f be v(-3). Find the common denominator of 1*(-56)/(-352)*4 and 12/18 - (21 - f).
33
Let f = -171/64 - 667/960. Find the common denominator of (-7525)/1050*7/28 and f.
120
Let h = -4856 + 6116. What is the least common multiple of 36 and h?
1260
Find the common denominator of -97/308 and (11895/(-264))/(-13)*(-34)/595.
308
Suppose 3*n = -l + 2156, 2*l - 2152 = -17*n + 14*n. What is the smallest common multiple of n and 40?
720
Suppose -2638 = -2*f + 2*g, 3*f + 1782 - 5763 = -g. What is the least common multiple of f and 10?
2650
Suppose 0 = i + 2*f - 3, 5*i - 6*i + 3 = -3*f. Suppose -i + 71 = 3*u - 4*v, -2*u - v = -49. What is the lowest common multiple of 36 and u?
72
Suppose 12 = 253*b - 250*b, -t - 16 = -5*b. What is the least common multiple of 1903 and t?
7612
Suppose 7*f - 6663 = 5342. Let q = -3509/2 + f. Let s = -4/5819 - -517947/81466. Calculate the common denominator of q and s.
14
Let f be (-1908)/(-11) + -6 - -1. Let v = -169 + f. Let t = 130501/15 + -8705. What is the common denominator of t and v?
165
Let z = -2 - 211. Let k = 320 - 10239/32. What is the common denominator of (2/3)/((-40)/z) - -2 and k?
160
Let h(d) = 11*d + 19. Let t be h(-2). Let u be (-9509)/(-28554) - t/(-9). Let a = 623411/57108 - u. What is the common denominator of -53/12 and a?
12
Let o = -16696 + 334043/20. Let a = -287108/55 + 5220. Calculate the common denominator of a and o.
220
Let h = 1710759007/1680 + -1018309. What is the common denominator of -97/80 and h?
1680
Let k = 312 - 252. Calculate the smallest common multiple of 396 and k.
1980
Suppose -2*r = -3*r + 6. Let i be 11230/(-40) - r/(-2). Let j = 275 + i. Calculate the common denominator of 61/16 and j.
16
Suppose 0 = 5*o - 5*h - 30, -15*o + 16*o - 15 = 4*h. What is the smallest common multiple of o and 3230?
9690
Let w be 55692/(-147) - (-24)/28. Let y = w + 438. What is the smallest common multiple of 36 and y?
180
Let c = 223579/932034 + 7/2859. Find the common denominator of c and -3/1304.
1304
Let p = 43918/589935 - 44/1005. Calculate the common denominator of -33/2 and p.
1174
Let p = -772/1627 - -1761076/1983313. Let g = p - 436008/913031. Find the common denominator of g and -117/10.
7490
Let m(u) = 2*u + 102. Let v be m(-21). Calculate the common denominator of (-418)/v + (20/30 - 1) and 45/8.
40
Let g(u) = 35*u + 2118. What is the least common multiple of 30 and g(-60)?
90
Suppose g - t + 662 = -2*g, 5*g - 2*t + 1104 = 0. Let k = 28111/210 - 906/7. Find the common denominator of k and (22/20)/(24/g).
60
Suppose 4*r - 91 + 117 = 5*i, -5*i = 4*r - 74. Calculate the smallest common multiple of 23 - -1*1*-1 and i.
110
Let g = 16816 - 16792. Calculate the lowest common multiple of 4380 and g.
8760
Let x = -79433/25416 - -1/3177. Let t(s) = s**3 + 15*s**2 + 17*s + 17. Let f be t(-14). Find the common denominator of ((-5)/f)/((-4)/(-230)) and x.
8
Let b = -1305 - -1657. Calculate the lowest common multiple of b and 192.
2112
Suppose 2*u = -5*f - 3025, 2423 = 12*f - 16*f - u. Calculate the common denominator of f/474 - ((-114)/(-4))/(-19) and 11/3.
237
Let o = 16111 - 27206. Let j = -155413/14 - o. Find the common denominator of j and 40/21.
42
Let j be 6/21 - 53240/(-227955). Let u = j + 76/167. What is the common denominator of u and 39/5?
195
Suppose -172 = -4*a + 3*b, 0 = a - 4*b - 27 - 3. Suppose 0 = -2*v - a - 14. What is the lowest common multiple of 8 and ((-14)/(-6))/(-3 - v/9)?
56
Let a = -149407/45 - -3320. Calculate the common denominator of a and -67/350.
3150
Suppose 4*d = -4*f + 172, 3*d + 5*f = -52 + 191. Let c = d + -48. What is the common denominator of 438/c*(-2 - 92/(-48)) and -67/20?
20
Suppose -w + 3*q + 6 = 0, 35 = -5*q + 55. Calculate the smallest common multiple of 20 and w.
180
What is the common denominator of 75/4 and ((-295)/(-354) - (-763)/(-858))/((-2)/(-15))?
572
Let o = -967449/1223420 - 3/22244. What is the common denominator of o and -69/220?
220
Suppose -6*z + 3 = -5*z - 3*p, -z + 5*p = -7. Find the common denominator of -41/10 and 1854/24420 - z/(-15).
4070
Let k be 2*24/(5 + -1). Suppose 13*j - 5*b = k*j + 21, 5*b + 27 = 2*j. What is the lowest common multiple of 2 and j?
6
Suppose -77*l - 595 = -11494 - 2961. Calculate the lowest common multiple of 504 and l.
2520
Suppose -o - 65 = -2*z, 4*o + o + 3*z = -351. Let u = -75 - o. Find the common denominator of 61/12 and 8/u - 54/24.
12
Let t(w) = -2*w**3 + 7*w**2 - 302*w + 904. Suppose -f - 40 = -3*h, h + 5*f + 8 = 32. What is the smallest common multiple of t(3) and h?
14
Let k(i) = -19*i - 17. Let l be (-441)/153 + (-4)/34 + 1. What is the lowest common multiple of 21 and k(l)?
21
Suppose 4*s + 384 = 2*i - 0*s, -4*s = -i + 184. What is the common denominator of (-10)/8*(0 + i/24) and -65/24?
24
Suppose r + 500 = 2*f - 3*r, 0 = -f - 2*r + 254. Find the common denominator of (2/10)/((-30)/625) and (-1926)/296 + f/36.
444
Let p = -7654 - -8172. Calculate the lowest common multiple of 84 and p.
3108
Let c be ((-7 - -6) + -1)*-388. Find the common denominator of c/(-720) - (2 - -1) - -3 and -62/15.
90
Let r(y) = -2*y**2 - 10. Let f(k) = 2*k**2 - k + 11. Let q(c) = 5*f(c) + 4*r(c). Calculate the lowest common multiple of q(5) and 20.
40
Let i = -37029/20020 - 2/5005. What is the common denominator of 107/486 and i?
4860
Suppose -y + 2*y = 15. Suppose -3*q - s = 45, -q + s - 4*s = y. What is the smallest common multiple of 1 and 1 - (-17)/q - (-1086)/45?
24
Let r = 130172 - 130116. What is the least common multiple of r and (2/2)/((-3)/(-12))?
56
Let w be (18/3)/(4 - 3). Let m be (9/(-6))/(w/8). What is the lowest common multiple of (220/16)/1 + m/(-8) and 24?
168
Suppose -76 + 24 = -2*p - 2*r, 2*r = 10. Let t = 997 + -1899. Let g = t - -914. Calculate the lowest common multiple of g and p.
84
Let p = 187/19 - 10304/1045. Calculate the common denominator of p and 3/185.
2035
Let f = -90951 + 25466187/280. What is the common denominator of 31/22 and f?
3080
What is the common denominator of -127/342 and ((-201)/(-36))/(-23 - (-1343)/34)?
3762
Let i = -821 + 841. Let q = -11 + 19. Calculate the least common multiple of i and (-2)/q + 219/12.
180
Let s = 375765 + -189385445/504. What is the common denominator of 89/72 and s?
504
Let f