r.
330
Suppose 3*h - 477 = -2*t, 0 = 5*t + h - 869 - 330. What is the smallest common multiple of t and 265?
12720
Suppose 122 = 4*o + g, -4*g + 50 = 2*o - 18. Let c = -61 - -59. Calculate the smallest common multiple of ((-8)/3 - c)/((-14)/567) and o.
270
Let k be ((-2)/4)/(46/24 - 2). Let w be 5216/(-7821) + k/9. Let a = 341525/31284 + w. Calculate the common denominator of a and 61/72.
72
Let z be 99 + -100 + (-367015)/(-102). Let s = z - 3597. Find the common denominator of s and 62/45.
1530
Let a(t) = -5*t**2 + 30*t - 281. Let z(j) = 3*j**2 - 20*j + 187. Let b(u) = 5*a(u) + 8*z(u). Calculate the least common multiple of 8 and b(-15).
16
Suppose 17*d - 8*z = 18*d - 470, 2*d = z + 821. Calculate the least common multiple of d and 2553.
15318
Let q = 2498038/5 + -219880079/440. Let k = 19092/19 + -232736/209. Let b = k - q. What is the common denominator of -119/10 and b?
40
Suppose 0 = 4*l + 4*m - 6*m + 74, 0 = 3*l - 2*m + 57. What is the common denominator of 36/135*l/8 and ((-6)/(-135))/(39/1690)?
270
Let v = 2001 - 1290. Let y = -567 + 1187/2. Find the common denominator of v/(-810) - 3/(-5) and y.
18
Let r = 2686 + -10657/4. Find the common denominator of 61/4008 and r.
4008
Let f(l) = -77*l**3 + 98*l + 99. What is the lowest common multiple of 300 and f(-1)?
3900
Let t = -788365/33 - -23888. Let s = -123740/3493 + 101219956/2672145. Let y = s - 6/595. Calculate the common denominator of y and t.
99
Let d = -90 + 153. Let u = 68 - d. Suppose 21 = i + 5*a, u*i - a - 4*a = 135. What is the lowest common multiple of i and 11?
286
Let s = 13682898655432/16122347956407 + -1986/141078833. Let l = s - 2/10389. What is the common denominator of 13/33 and l?
33
Let y = -29731 + 2527167/85. Find the common denominator of 63/170 and y.
170
Let p = 2730165225/3752 - 727656. Calculate the common denominator of p and -87/16.
7504
Let a(l) = -1080*l + 73. Let v be a(22). Let n = -426235/18 - v. Let z = 296 + -7099/24. Find the common denominator of n and z.
72
Let m = 70/53 - 2701/159. Suppose 5*i + 23 = -77. Find the common denominator of m and (9/i)/(5/20).
15
Let f(o) = 124*o + 375. What is the smallest common multiple of 192 and f(-3)?
192
Let p = 90589/30 - 3019. What is the common denominator of (8/(6 - 2))/((-8)/(352/60)) and p?
30
Let d be (-1 + 3)/(-4 + 378/93). Suppose 0 = 3*q - d - 17. Suppose q*i - 220 = 452. Calculate the smallest common multiple of 10 and i.
210
Let c = 714 + -204. Calculate the least common multiple of c and 66.
5610
What is the common denominator of 131/150 and (-340)/(-48) - ((-106)/53)/(2/(-3))?
300
Let g be (19 + 14914)*(5 + -4). Let l = g - 1045351/70. Calculate the common denominator of -53/112 and l.
560
Let i(u) = -29*u - 19. What is the least common multiple of 1142 and i(-1)?
5710
Let b = 80 + -62. Calculate the least common multiple of b and (-2 - (-2)/2)*-93.
558
Let m(h) = 4*h**2 - 195*h - 43. Calculate the smallest common multiple of 54 and m(49).
54
Suppose 128 = -2*y + 4*y. Suppose t - y = -5*w + 135, 191 = 5*w - t. Suppose 15 + w = 9*i. Calculate the least common multiple of i and 22.
66
Let f = 2226809 - 6377580889/2864. Find the common denominator of f and -57/358.
2864
Let u = 60 - 24. Let h(w) = 3*w**2 - 8*w + 10. Let b = 120 - 118. What is the lowest common multiple of h(b) and u?
36
Let i(c) = 172*c - 4. Let g be i(1). Suppose 4*b + 2*y - 12 = 0, 0 = -5*y + 6*y + 4. Suppose b*q = 12*q - g. What is the least common multiple of 36 and q?
72
Suppose 12 = -2*p, -77*s + 72*s = p - 28114. Calculate the lowest common multiple of 16 and s.
11248
Let r(f) = 18*f**3 + 3*f**2 + 28*f - 445. Calculate the lowest common multiple of r(7) and 10.
30360
Find the common denominator of -36/25 and (-143676)/(-8280) + (-6 - 11).
1150
Suppose -5*r = -48 - 27. Suppose 8*f - r = 17. Suppose 5*o = -3*q + 83, -5*q + 0*o + 89 = -f*o. What is the smallest common multiple of 27 and q?
189
Let u be (28/(-10) - -3) + 36/(-30). Let t be ((-6)/(-48))/(u/23366) + -1. Let y = 2900 + t. Find the common denominator of -127/12 and y.
12
Let v be (5 + -6)/(1 + (-78)/77). Suppose 0 = 2*t - 5*g - 205, 2*t + v*g = 76*g + 175. What is the lowest common multiple of t and 9?
90
Let d = 263161/20 + -13153. Find the common denominator of d and 101/784.
3920
Calculate the common denominator of 36/235 and 62/(-15) + 22/(-55).
705
Let g be 2/(-13) + 1308/52. Suppose 3*h = -4*i + 1, -16 = -4*i + 5*h + g. Let r(s) = -2*s - 18. What is the lowest common multiple of r(-12) and i?
12
Suppose 28 = -y + 226. What is the lowest common multiple of y and 36?
396
Let v = 457207/1300 - 1407/4. Find the common denominator of -3/65 and v.
325
Let v = -28665/2 + 32936225/2298. Calculate the common denominator of -52/3 and v.
1149
Let g(p) = p**3 - 53*p**2 - 262*p - 74. What is the smallest common multiple of 14 and g(58)?
10850
Let f be (-465)/(-75) - (-8)/10. Calculate the common denominator of 31/2 and (4 - (f + -2)) + 61/(-8).
8
Suppose 9*d + 154 = -2*d. Let q be (5602/d)/(-3 + (-50)/(-15)). Let h = -202589/168 - q. Find the common denominator of -137/24 and h.
24
Suppose -19*m + 6815 + 87577 = 0. What is the least common multiple of m and 360?
24840
Let u(r) = r**2 - 22*r + 58. What is the lowest common multiple of 324 and u(26)?
324
Suppose -5*r = -5*x - 85, 0 = 4*r + 2*x - 5*x - 73. Calculate the common denominator of ((-3)/11)/(5/3) and r.
55
Find the common denominator of (-5975)/6660 + 1 - (-8)/72 and 17/1332.
1332
Let o = -2/11761 + 552831/376352. What is the common denominator of o and -3 + 342/64 - (4 + -4)?
32
Let z be 0 + -6*(12/8 - 2). Suppose 0*x = -x - z, 3*t - x - 828 = 0. Let k = 3311/12 - t. Find the common denominator of k and -50.
12
Let s be (-29)/(0 + 4/20). Let j = s - -165. What is the lowest common multiple of 52 and j?
260
Let g = 23047 - 92273/4. Calculate the common denominator of g and (-51)/(-5)*5/4.
4
Let r = 9555397/92 - 103864. Find the common denominator of -29/488 and r.
11224
Suppose -170 = -3*o + 10. Suppose -4988*m + 2541*m = -2549*m + 4080. Calculate the lowest common multiple of o and m.
120
Calculate the common denominator of (2/51)/(-13 - 285/(-19)) and -16/753.
12801
Let n(k) = k**2 + 35*k + 1026. What is the smallest common multiple of 176 and n(-48)?
13200
Suppose 2*w = 2*c + 1229 - 161, 4*c + 2151 = w. Let d = -2081/4 - c. Calculate the common denominator of d and -11/20.
20
Let w(h) = 14*h**2 + 45*h - 230. Let i be w(5). Let x = i + -261. What is the least common multiple of 16 and x?
336
Let y(o) = -2*o**3 - 3*o**2 + 16*o - 39. Let w be y(8). Calculate the lowest common multiple of 2/6 - w/147 and 276.
552
Suppose 3*b + 2*l - 2346 = 0, 178 = -5*b + 3*l + 4069. Calculate the least common multiple of b and 936.
4680
Let l = 209567/10 + -20968. Calculate the common denominator of 79/48 and l.
240
Suppose 3*m + 3 - 12 = 0. Suppose m*p - 8 + 11 = 0. Calculate the common denominator of -9/4 and 522/(-234)*(p - -2).
52
Let a be (-14)/217*6/(-236)*1. Let w = -23876/60357 + a. Find the common denominator of w and 6/55.
165
Let p = -23245173/260 - -89405. Find the common denominator of p and -107/10.
260
Calculate the smallest common multiple of (49/14 - 248/80) + 1826/10 and 732.
732
Let i = -13772 - -15212. What is the smallest common multiple of i and 2400?
7200
Let q(p) = 2*p + 9. Let m be q(-6). Let y = m + 50. Let z = y + -29. What is the smallest common multiple of 10 and z?
90
Let m = -1191 - -663. Calculate the common denominator of 4 + 1 - (-693)/m and -7/106.
848
Suppose -21 = -g - 7*t + 3*t, 5*g = 3*t + 151. Let d = 15625 - 15504. Suppose -g = -5*i + d. Calculate the common denominator of i and 29/9.
9
Let c(h) = 2*h - 16. Let q be -4 - 27*-1 - -1. Let u = -16 + q. Calculate the lowest common multiple of c(16) and u.
16
Let t(m) = -m**2 + 10*m - 5. Let d be t(1). Suppose 0 = -4*r - 2*o - 2*o + 108, -78 = -3*r - d*o. Calculate the smallest common multiple of r and 120.
120
Suppose 479*a + 62 = 2*h + 483*a, -7*h + 5*a = -27. Let v(s) = -12*s - 2. Let q be v(-2). Let x = 37 - q. Calculate the lowest common multiple of x and h.
165
Suppose 6 = -9*r + 8*r. Let v(a) = a**3 + 6*a**2 - a + 5. Calculate the least common multiple of v(r) and 14.
154
Suppose n = -j + 12, 2*j - 3*n + 1 - 20 = 0. What is the lowest co