4
Suppose -51*m - 4491 = -6127 - 8309. Calculate the least common multiple of m and 63.
4095
Calculate the smallest common multiple of (-3 - (-26070)/20) + (-1 - 4/(-8)) and 160.
10400
Suppose -2 + 434 = 6*r. Let v(i) = -i - 12. Let k be v(-8). What is the common denominator of (k/r)/((-2)/(-20)) and 71/18?
18
Let y = -25209 + 25223. What is the lowest common multiple of 3944 and y?
27608
Let p(t) = -3*t**2 + 6*t - 21. Suppose -q - q = -12. Let u be p(q). Let r = u + 123. Calculate the least common multiple of 28 and r.
420
Suppose -5*b + l = 221513, l - 19 = -16. Let a = b - -1329197/30. Calculate the common denominator of a and 23/70.
210
Suppose 5*k - 3*k + 4*d = 108, -5*k = 2*d - 246. Suppose 12*l = k - 0. Calculate the least common multiple of l and 44.
44
Let v(f) = 150*f**3 - 7*f + 7. What is the least common multiple of v(1) and 192?
4800
Let b = 6/13053013163 - -477805546142179/1499869530507678. Let g = b + -2/5223. Find the common denominator of g and 29/18.
198
Let g = 871297/54 + -16136. Calculate the common denominator of g and -97/180.
540
Find the common denominator of 55/342 and (-20)/(-2310)*(-7784)/(-96).
3762
Let b = -871896 - -5274970813/6050. Find the common denominator of 51/8 and b.
24200
Let j(u) = 2*u + 8. Suppose -681 + 835 = 7*z. What is the smallest common multiple of z and j(5)?
198
Suppose 353370 = 275*l - 40980. What is the lowest common multiple of l and 4302?
4302
Let h = -1/22667 + -475163/19130948. Find the common denominator of h and -54/5.
4220
Let f = -5765 - -3791. Let r = f - -13796/7. Let k = 6998 - 146884/21. Calculate the common denominator of r and k.
21
Let w be (5 + 21938 + 7)*(-2)/(-6184). Let i = 4/3865 + w. Calculate the common denominator of i and 23/12.
60
Let q be 2/6 + (-57549517643)/483. Let v = -2774887960967/23289 - q. Let z = 3/1109 + v. Calculate the common denominator of z and 91/30.
30
Suppose -42*d - 44 = -92 - 78. Calculate the smallest common multiple of 234 and d.
234
Suppose l = -3*c - 21, -6*c - 34 = 2*l - 4*c. Let p(x) = -4*x - 6. What is the smallest common multiple of p(-6) and ((-162)/l)/((-1)/10*-3)?
36
What is the common denominator of ((-4)/(-18) + 45/162)*(-58)/1176 and -109/1680?
11760
Let y = 4211/150 + -173/6. Calculate the common denominator of 43/155 and y.
775
Let z = 6047434795/42 + -144015261. Let u = z + 28716. What is the common denominator of -133/60 and u?
420
Let j = 245759/766190 - 3/18028. What is the common denominator of j and -16/95?
6460
Let g(s) be the third derivative of -s**6/120 - s**5/20 + s**4/24 + 5*s**3/6 + 4*s**2 + 3. Calculate the least common multiple of g(-3) and 127.
254
Let d = 18/3191 - -122145/408448. Calculate the common denominator of 81/128 and d.
128
Let s = 561 + -545. Suppose -4*v = 2*o - 86, -4*v + 124 = -4*o + 8. What is the smallest common multiple of s and v?
48
Let h = -421157/7410 + 1447/26. Let o = -3/190 - h. Let y = -27492 - -494713/18. Find the common denominator of o and y.
18
Let f(k) = -26*k + 844. What is the least common multiple of f(32) and 651?
2604
Suppose -2*k - 3*w = -3, 2*w - 3 + 1 = 4*k. Suppose k = -4*a - v + 493, -3*a - 3*v + 0*v = -381. Calculate the smallest common multiple of a and 10.
610
Find the common denominator of (42/105*45)/2204 and 81/2.
1102
Suppose 0 = -51*p + 39*p + 72. Calculate the smallest common multiple of (32*(-6)/(-9))/(p/9) and 192.
192
Let w = -28 - 0. Let x = w + 37. What is the least common multiple of x and ((-36)/15 - -2)/((-4)/20)?
18
Let n(h) = -h**3 - 8*h**2 + 20*h + 10. Let q = -81 + 71. Let a be n(q). What is the least common multiple of 192/a + 4/(-20) and 13?
247
Find the common denominator of -11/436 and 2/1 - (-330450)/(-163500).
2180
Suppose 3*x + 5*g - 48 = 0, x - g + 18 = 2*x. Let n be (-30)/2*(-7)/x. Suppose -4*b + 5*p = -9*b + 30, -p = -n*b. What is the least common multiple of 1 and b?
1
Let v = -90511/385 + -5102/55. Let f = -326 - v. Suppose -3*b + 26 + 40 = 0. Calculate the common denominator of b and f.
7
Let l(n) = -2*n**3 + 26*n**2 - 78*n - 6. Let c be 0/(3 + -2) - -4. What is the least common multiple of l(6) and 107/4 - (-1)/c?
270
Suppose 4*n - q = 628, -2*n - 7*q + 14*q = -340. Calculate the lowest common multiple of n and 520.
1560
Let m = 2821 - 5575. Let z = 10939/4 + m. Find the common denominator of 1/522 and z.
1044
Let c be 2/((6 + -5)/(-2)). Let j be (-3)/((-21)/c) - 764/(-14). What is the common denominator of ((-141)/j + 3)*1043/49 and 23/64?
576
Suppose 2*i + v + 3185 = 6*i, -i - 4*v = -826. Calculate the smallest common multiple of i and 87.
23142
Suppose -617 = 8*u - 2137. Suppose 0*h + u = 5*x + 2*h, 5*x - 190 = -4*h. What is the smallest common multiple of x and 16?
304
Suppose -2*y - 48*p = -46*p - 1088, 2*y = 3*p + 1118. What is the lowest common multiple of y and 300?
3300
Let n(y) = -y**2 + 205*y - 1176. Calculate the least common multiple of n(6) and 2118.
6354
Suppose -4*f - 5*x + 109 = 120, 0 = -5*f - 5*x - 10. What is the common denominator of -139/6 and (-3375)/(-3250) - f*-2?
78
Let z = 896 - 1827/2. What is the common denominator of 201/(-6)*1/86 and z?
172
Let y = 5902 + -5882. Calculate the least common multiple of 2718 and y.
27180
Let b = 3907 + -89882/23. Find the common denominator of ((-2)/5)/(5/475) and b.
23
Let z(a) = 2*a**2 + 13*a + 51. Let y be z(-5). Suppose -3*r + 4*r = -45. Find the common denominator of 79/42 and (20/(-22))/(y/r).
462
Calculate the common denominator of -5*((-8766)/1248 - (-14 - -7)) and -85/962.
7696
Let p = 47191632 + -1132238219/24. Let k = 15043 - p. Calculate the common denominator of k and (-1)/6*(-3)/(-16).
96
Let l = 393506393/750 + -524675. What is the common denominator of 125/24 and l?
3000
Let g = 293849 + 14927. Let s = g + -567530303/1838. Let p = -29031/10109 - s. Calculate the common denominator of p and 115/12.
132
Let a(m) = -16*m - 1. Let k be a(2). Let r = k + 53. Suppose -56*u + 28*u = -224. What is the smallest common multiple of u and r?
40
Suppose -5*c - 405 = 5*y, 0 = -3*c + 3*y - 2*y - 231. What is the common denominator of 41/15 and 1812/c*2/24?
390
Find the common denominator of (-2 + (-64)/36*-12)*(-5)/1250 and -99/200.
3000
What is the least common multiple of ((-4056)/(-18))/((-20)/(-30)) and 78?
1014
Let l = 15423/28 - 3728/7. What is the common denominator of 83/58 and l?
116
Let u = -8171/16 + 505. What is the common denominator of 5/50*(388/16 - -3) and u?
80
Let i(m) = -4*m + 18. Let x(q) = q - 6. Let a(c) = -3*i(c) - 8*x(c). Let f(u) = 8*u + 122. Calculate the lowest common multiple of a(7) and f(-3).
1078
Let m = -27867 + 27875. What is the smallest common multiple of m and 1412?
2824
Let w be ((-51)/(-34))/(1*3)*-10. Calculate the common denominator of (144/(-28) - w) + (-256)/(-77) and 38/93.
1023
Let v(h) = h**3 + 3*h**2 - 3*h + 20. Let i be v(-4). Suppose 7*a = 6*a + i. Calculate the least common multiple of a and 10.
80
Let q(l) = -104*l + 2352. Calculate the smallest common multiple of q(21) and 168.
168
Let o = 2960 - 165729/56. What is the common denominator of -109/112 and o?
112
Let c = 2496147 + -4073712055/1632. Find the common denominator of 34/9 and c.
4896
What is the common denominator of -61/6 and 4619352/20611344 + (-6)/34?
5226
Let s = 3955 - 174021/44. What is the common denominator of -67/32 and s?
352
Let q = -40424039/11 + 3678447. Let c = -3530 + q. Calculate the common denominator of c and ((-67)/(-4))/((-3)/(-3)).
44
Let s be (-4 + 20/5)/2. Suppose s = -28*d + 23*d + 90. What is the least common multiple of (-3)/(-26 - 1) + (-265)/(-45) and d?
18
Let o = 89 + -77. Suppose o = 4*d, 3*k - d - 2*d + 9 = 0. Suppose 3*z - 90 = -k*z. Calculate the smallest common multiple of z and 27.
270
Let d = -435 - -401. Find the common denominator of -59/14 and (-4)/d + (-13336)/(-1088).
56
What is the lowest common multiple of -3*(13 - 22092/36) and 477?
16218
Suppose 22 = j + 4*k, -24 - 2 = -3*j - 4*k. Suppose -c = 2*q - 36, -j*q = 3*c - 5*c - 36. What is the least common multiple of 8 and q?
72
Let j(q) = -q**2 - 20*q - 18. Let a(d) = -4*d + 21. Let p be a(10). Let m be j(p). What is the common denominator of m/(-4)*(-172)/(-9) and -68/21?
63
Calculate the common denominator of 3349/(-510)*(-6)/20 - (-72 - -74) and -69/206.
10300
Let x = 8640