Let i be d(5). Suppose 17 = t + 3*j, -i*t + 7 = -3*t - 2*j. What is the smallest common multiple of t and 30?
30
Suppose 169*x - 173*x = -64. Suppose 2*w - 76 + 8 = 0. Let m = 70 - w. What is the lowest common multiple of m and x?
144
Suppose 7483 = -g - 4*g - h, 0 = -4*g - h - 5987. Calculate the common denominator of -31/3 and (-5 - g/(-56))*(-1)/9.
21
Let g = -12882 - -12904. Let r = 242 - 107. Suppose 5*c - 29 = 3*y + 198, 3*c = 3*y + r. What is the least common multiple of g and c?
506
Find the common denominator of -51/4 and ((-62)/3488)/(441/294).
2616
Let d = 381868 + -3822483/10. Let s = d + 380. Calculate the common denominator of s and (-3)/(-5) + (-11066)/660 + 14.
30
Let n = -346781 - -225060926/649. Calculate the common denominator of n and 6/295.
3245
Suppose 582*z + 492 = 623*z. Calculate the least common multiple of 24 and z.
24
Let n be 4/(-4) - (293 + 0 + 0). Let x = -98 - n. Find the common denominator of 0 + x/(-40) + (-3)/2 and 6/5.
5
Let r be (-1 + 3)/((-52)/(-104)). Suppose r*k - 38 = 6. What is the smallest common multiple of 118 and k?
1298
Calculate the common denominator of 65/2662 and 3356/168 - 468/(-546).
7986
Find the common denominator of 8/(-1707)*1037/(-244) and 95/6.
3414
Let j be (-39166)/(-9792) + 4/12*-12. Let d = j - -33971/24480. Calculate the common denominator of d and 81/64.
320
Let g = -1082 - -2006. Find the common denominator of -41/15 and (-1435)/g + 2/8.
165
Suppose 6*h - 2 = 4*h + 2*t, 2*t = 5*h - 11. Suppose 3*m = 2*m - 5*j - 16, -h*j = 5*m - 30. Let n = -3 - -5. Calculate the lowest common multiple of n and m.
18
Let d = -968 - -1008. Let c(t) = -13*t + 8. What is the lowest common multiple of c(-1) and d?
840
Let i = -2197/18 + 343/3. Let u be 224480/(-350)*(-1 - (-1226)/1236). Let a = 250/103 - u. Calculate the common denominator of i and a.
126
Suppose 6*n = 3*n + 285. Suppose -2*q - 5*r = -57, 2*q = 7*q + 3*r - n. What is the smallest common multiple of (3/(30/4))/((-81)/(-8100)) and q?
80
Let n = -315 - -755. Calculate the common denominator of (-1099)/n*2 - -5 and 37/4.
220
Suppose 6 = -2*d, -2*o - 5*d + 409 - 48 = 0. Let g = -104 + o. What is the smallest common multiple of 30 and g?
420
Suppose 8*l - 9*l - 2*k - 3 = 0, -l + 5*k = 10. Find the common denominator of -5/24 and ((-57)/(-1224))/((-8)/(-600)*l).
408
Let g = 1752 + -1732. What is the least common multiple of 278 and g?
2780
Let t be (-37233)/140*(-12)/18. Let f = -833/5 + t. Find the common denominator of f and 194/(-48) + 2/3.
40
Let r = 2/130559 + -16320043/10966956. Calculate the common denominator of r and 13/196.
588
Let o be 88/2*(-3 - (-20)/5). Let h be ((-20)/(-3))/(o/66). Calculate the common denominator of 28/39 and (-5 + (-114)/(-27))*h.
117
Calculate the least common multiple of 38 + (132/(-16) - (-3)/12) and 200.
600
Suppose 2*s = -3*y + 602 + 440, 4*s - 20 = 0. Let p = -339 + y. What is the smallest common multiple of p and 20?
20
Let a(g) = 5*g - 19. Let v be a(8). Find the common denominator of v/(-11)*(-150)/(-1170) and 68/39.
429
Let j(v) = -3*v**3 - 20*v - 40. Calculate the least common multiple of j(-2) and 144.
144
Let t be 36663/594 - (-4)/(-18). Let g = t + -65. Let q = g + 7/4. What is the common denominator of 59/34 and q?
68
Let n = -161056012488839194/24290456529 + 3732928400/563. Let a = n + -4/14197. Let s = a - 27329/33429. Calculate the common denominator of 1/3 and s.
33
What is the lowest common multiple of 71/(-2)*-2*1 and 5 + ((-4)/(-42) - (2 + (-372)/63))?
639
Suppose 72 = -11*u + 20*u. Suppose 0 = 3*i - 2*i - 12. Let v = i + -6. What is the smallest common multiple of u and v?
24
Let q be 58077395/57*(-15)/126. Let s = 121299 + q. Calculate the common denominator of 91/6 and s.
126
Calculate the common denominator of ((-8)/(-80) + -8 + 19)/1 and -149/120.
120
Let q = -889/18 + 7537/153. Find the common denominator of -5/238 and q.
714
Suppose q - 6*i + 2*i = 22, -2*q - 6 = 2*i. Calculate the least common multiple of (-6)/(-7)*70/2 and q.
30
Let f(r) = r**2 + 2*r + 1. Let j be f(-3). Suppose 3*u - j*u = -360. Suppose -7*w + w + u = 0. Calculate the lowest common multiple of w and 22.
660
Suppose -j - 2*i - 414 = 0, 0 = j + 4*j + 3*i + 2105. Let a = j - -454. Calculate the smallest common multiple of 2/3 - 388/(-12) and a.
330
Calculate the smallest common multiple of 4 + 1 + 1 - (-1 + 3) and 1 + (3 + 0)/1.
4
Let x be (-13765339)/5040*-3 - (-1 + 3). Let p = x - 24578/3. Find the common denominator of 23/10 and p.
80
Let a(t) = -t**2 - 2*t - 23. Find the common denominator of a(0) and 11/(-65) + 9/36.
260
What is the common denominator of 179/300 and (-10)/35 - ((-116622)/(-4200))/(-31)?
300
Suppose 2225 = 2*k + 4*s - 2155, 5*s - 6573 = -3*k. Calculate the least common multiple of k and 32.
17568
Let q be 9/((2 - 3)*1). Let g(b) = -b**3 - 10*b**2 - 10*b - 3. Let w be g(q). Calculate the common denominator of (-9)/w*80/972 and -77/10.
810
Let r = 171 - 166. Let h(m) = -17*m - 1. Calculate the least common multiple of (-124)/310 + 152/r and h(-1).
240
Suppose 0*y = -49*y + 245. Let j(u) = -2*u. Let x be j(-6). Let p = x - y. What is the smallest common multiple of p and 10?
70
Find the common denominator of -85/166 and 19/(1254/748) - (-3)/(-12).
996
Let k be ((-835)/33)/(3/756). Let l = k + 6381. Find the common denominator of 59/16 and l.
176
Suppose -4*u = 5*l + u - 10, -10 = -5*l + 2*u. Suppose 3 = 5*w - l. Calculate the common denominator of 43/27 and (-47)/3 + (-2)/(-6)*w.
27
Let b = -82 - -83. Suppose -l + b = 2*f - 3, 4*l - 28 = 4*f. Calculate the lowest common multiple of l and 54.
54
Let b be 2064/(-72) - 4/(-6). Calculate the common denominator of (1/(-24))/(2/(-188)) and b/(-2)*5/60 + -5.
12
Suppose 6*t - 4*p - 106 = 7*t, 4*p + 326 = -3*t. Calculate the least common multiple of 6 and -78*t/44*8/30.
156
Let t = -21632 + 432739/20. Find the common denominator of t and -37/9138.
91380
Let x(b) = 2*b**2 - 5*b**3 - 20*b**2 + 4*b**2 + 6*b**3 - 11*b + 7. Let a be x(15). Let p = 87 - a. What is the least common multiple of 2 and p?
20
Let y = -29765/2046 - -412/31. Let u = 5983/3 - 1970. What is the common denominator of u and y?
66
Let v be ((-2)/(-6))/(3/(-9)). Let p(i) = 9*i + 12. Calculate the least common multiple of 13 and p(v).
39
Let z be 4/3*1480/64. Let j = -95/4 + z. Find the common denominator of j and -29/40.
120
Let x(z) = z**3 - 11*z**2 + 8*z + 27. Let u be x(10). Suppose -b + 33 = 2*y, -u*b - 3*y - 31 = -9*b. What is the smallest common multiple of b and 6?
138
Let s = -157 - -153. Calculate the common denominator of -34/3 and 30/s - (2 + -2).
6
Let m be (58156 - 2)*2/(-48). Let d be 12*(-7278)/(-18)*1/2. Let v = m + d. Find the common denominator of 63/22 and v.
132
Let y = -102750 - -265608743/2585. Find the common denominator of 22/3 and y.
7755
Calculate the lowest common multiple of 1 and (-21)/6*(-2 + (-14)/(-21))*1047.
4886
Let j = 16739/2574 + 15/286. Let c = j - 623/90. What is the common denominator of -97/24 and c?
120
What is the common denominator of -19/279 and 2053/1395 - (-3 - (-154)/35)?
279
Calculate the common denominator of 61/98 and (-20 + -10)*(132/(-42) - -3).
98
Let r = 422 - 1318. Let j = 1364 + r. Calculate the lowest common multiple of j and 8.
936
Let t = -922090 + 7393109/8. Let n = t + -2039. Calculate the common denominator of 10/9 and n.
72
Let r(q) = -4*q + 26 - q**3 - 16 + 10*q**2 - q**2 - 17. Calculate the smallest common multiple of r(7) and 18.
126
Suppose 2*y - 6*y + 50 = -a, -3*y - 3*a = -30. What is the common denominator of 133/12 and (91/767)/(9/y)?
708
Suppose 198 = y - 3*l, -3*y + 5*l + 76 + 498 = 0. What is the least common multiple of 208 and y?
38064
Let n(a) = -8*a - 161. Let l be n(-20). Find the common denominator of -2*l/(-1) + (-202)/(-90) and 27/35.
315
Suppose -7 - 17 = -2*d. Suppose -34 = 4*y + 2, 3*a - 27 = -y. Calculate the lowest common multiple of a and d.
12
Let m = -129095/221 - -9882/17. Calculate the common denominator of (64/15)/(6/(-10)) and m.
117
Let n = -1043221/5 - -207053. Let h = n + 1585. Find the common denominator of -10/11 and h.
55
What is the common denominator of -19/150 and -2*1085/(-200)*86/57491?
28650
Let l = 505/3 - 1843/12. Find the common denominator of l and (2/20)/((-24)/(-642)).
40
