988*n/5.
3*n*(n - 37)*(n + 108)/5
Factor -2*x**2 + 4200*x.
-2*x*(x - 2100)
Determine p, given that 5*p**4/7 + 118*p**3/7 + 247*p**2/7 - 538*p/7 + 24 = 0.
-21, -4, 2/5, 1
Factor -z**2/6 - 581*z/6 + 5145.
-(z - 49)*(z + 630)/6
Determine q so that q**2/3 - 497*q/3 + 6644 = 0.
44, 453
Factor -u**2/8 + 147*u/8 + 95.
-(u - 152)*(u + 5)/8
Factor g**2 - 394*g + 23925.
(g - 319)*(g - 75)
Let -15*q**3/4 - 6354*q**2 - 35559*q/4 - 5079/2 = 0. Calculate q.
-1693, -1, -2/5
Let 3*r**5/4 + 96*r**4 + 531*r**3 - 4353*r**2/2 + 9489*r/4 - 1647/2 = 0. Calculate r.
-122, -9, 1
Factor -2*w**2/9 - 280*w/3 - 17512/9.
-2*(w + 22)*(w + 398)/9
Determine q, given that -4*q**3/9 - 874408*q**2/3 - 47787125872*q - 860157772832/9 = 0.
-327902, -2
Factor -2*v**3 - 256*v**2 - 10600*v - 140000.
-2*(v + 28)*(v + 50)**2
Factor -5*i**3 + 155*i**2 + 16770*i + 121680.
-5*(i - 78)*(i + 8)*(i + 39)
Solve -x**3/5 + 8772*x**2/5 + 10532*x + 70224/5 = 0.
-4, -2, 8778
What is l in 202*l**3 - 5054*l**2 + 4948*l - 96 = 0?
2/101, 1, 24
Find t, given that -2*t**5 + 1448*t**4 - 262082*t**3 - 4340*t**2 + 783368*t + 524176 = 0.
-1, 2, 362
Solve 29584*k**2 + 5780*k - 404 = 0.
-1/4, 101/1849
Factor -h**3/7 - 17070*h**2/7 - 102393*h/7 - 153576/7.
-(h + 3)**2*(h + 17064)/7
Determine g so that 135*g**4/2 - 1695*g**3 - 73345*g**2/2 + 4220*g + 2730 = 0.
-14, -2/9, 1/3, 39
Determine m so that -2*m**2 + 2104*m - 10470 = 0.
5, 1047
Factor -329140*i**2 + 329138*i + 2.
-2*(i - 1)*(164570*i + 1)
Factor r**3 + 606*r**2 + 16380*r + 113288.
(r + 14)**2*(r + 578)
Suppose -2*z**4/7 + 74*z**3 - 33832*z**2/7 + 65608*z/7 = 0. What is z?
0, 2, 118, 139
Factor c**3/4 + 9*c**2/2 - 649*c/4 - 2541/2.
(c - 22)*(c + 7)*(c + 33)/4
Suppose -x**5 - 4649*x**4 + 3*x**3 + 13945*x**2 - 9298*x = 0. Calculate x.
-4649, -2, 0, 1
Suppose -15*u**5 + 507*u**4 - 4758*u**3 + 12828*u**2 - 9240*u - 2400 = 0. Calculate u.
-1/5, 2, 10, 20
Suppose -2*h**3 + 52*h**2 + 1288*h + 2352 = 0. Calculate h.
-14, -2, 42
Factor -s**2/2 + 27783*s/2 + 13892.
-(s - 27784)*(s + 1)/2
Let n**4/2 - 296*n**3 + 94431*n**2/2 - 1008484*n + 5766904 = 0. Calculate n.
11, 13, 284
Determine s so that -s**5/7 + 15*s**4/7 - 7*s**3 - 99*s**2/7 + 302*s/7 + 48 = 0.
-2, -1, 3, 7, 8
Suppose -4*p**2 - 534924*p = 0. Calculate p.
-133731, 0
Let -74*y**3/9 + 4876*y**2 - 1186*y/9 = 0. Calculate y.
0, 1/37, 593
Solve -2*t**4/9 + 8302*t**3/9 + 16612*t**2/9 = 0.
-2, 0, 4153
Solve 124*m**4 - 1316*m**3 + 2944*m**2 + 1344*m = 0 for m.
-12/31, 0, 4, 7
Factor 42778*y**2 + 2*y.
2*y*(21389*y + 1)
Suppose -106*r**5/3 - 746*r**4/3 + 1244*r**3/3 + 3016*r**2/3 - 3280*r/3 - 128/3 = 0. What is r?
-8, -2, -2/53, 1, 2
Let -s**3/2 - 44*s**2 - 170*s - 168 = 0. Calculate s.
-84, -2
Find a, given that -a**5 + 213*a**4 + 3848*a**3 + 14244*a**2 + 3776*a - 22080 = 0.
-12, -4, -2, 1, 230
Solve -2*l**2/3 + 1964*l/3 - 5838 = 0 for l.
9, 973
Determine c, given that -5*c**3 + 1305*c**2 + 21860*c + 83100 = 0.
-10, -6, 277
Find k, given that k**3/5 + 4162*k**2/5 + 8321*k/5 + 832 = 0.
-4160, -1
Factor 48*u**4 - 25128*u**3 + 3282339*u**2 + 1645884*u + 205932.
3*(u - 262)**2*(4*u + 1)**2
Factor -2209*l**3/3 - 6178667*l**2/3 - 262919*l/3 - 2797/3.
-(l + 2797)*(47*l + 1)**2/3
Find h such that -4*h**3 - 2680*h**2 - 448900*h = 0.
-335, 0
Find m, given that 4*m**5 - 217828*m**4 + 435644*m**3 - 217820*m**2 = 0.
0, 1, 54455
What is f in -f**5/4 - 144*f**4 + 5893*f**3/4 + 4812*f**2 - 13239*f - 31644 = 0?
-586, -3, -2, 3, 12
Factor -3*o**2 + 2637*o + 32076.
-3*(o - 891)*(o + 12)
Determine r, given that 2*r**2/9 - 7036*r/9 + 61866 = 0.
81, 3437
Factor 2*p**3/7 - 5942*p/7 - 5940/7.
2*(p - 55)*(p + 1)*(p + 54)/7
Solve -2*s**3/9 - 674*s**2/3 - 47422*s/9 - 15134/3 = 0 for s.
-987, -23, -1
Factor -3*o**2 - 18*o + 561.
-3*(o - 11)*(o + 17)
Factor b**3/4 + 71*b**2/4 + 1263*b/4 + 6345/4.
(b + 9)*(b + 15)*(b + 47)/4
Find k, given that -k**5/2 + 8033*k**4/2 + k**3/2 - 8033*k**2/2 = 0.
-1, 0, 1, 8033
Suppose o**4/6 - 17*o**3/3 - 599*o**2/6 - 94*o = 0. What is o?
-12, -1, 0, 47
Let -8*j**5/3 - 46*j**4 + 2444*j**3 + 57238*j**2/3 + 26960*j - 31968 = 0. Calculate j.
-37, -4, 3/4, 27
Factor -2*o**3/17 + 146*o**2/17 - 1750*o/17 + 5782/17.
-2*(o - 59)*(o - 7)**2/17
Factor -4*m**3 + 183312*m**2 + 549972*m.
-4*m*(m - 45831)*(m + 3)
Find v, given that v**3 - 426*v**2 + 21089*v - 20664 = 0.
1, 56, 369
Let 3*i**3 - 711*i**2 + 12237*i + 169911 = 0. Calculate i.
-9, 29, 217
Factor -w**2 - 571*w + 5220.
-(w - 9)*(w + 580)
Determine k so that -24*k**5 - 33810*k**4 + 8541*k**3 + 122532*k**2 - 71877*k - 25362 = 0.
-1409, -2, -1/4, 1, 3/2
Factor -11*g**2 - 129*g + 36.
-(g + 12)*(11*g - 3)
Let 4*m**4 - 6588*m**3 - 12*m**2 + 19756*m + 13176 = 0. Calculate m.
-1, 2, 1647
Determine a, given that 5*a**5/3 + 445*a**4/3 + 430*a**3/3 - 880*a**2/3 = 0.
-88, -2, 0, 1
Factor 2*v**3/3 - 785*v**2/3 - 2833*v + 4836.
(v - 403)*(v + 12)*(2*v - 3)/3
Factor -3*y**3/2 - 1317*y**2 - 640563*y/2 - 13304382.
-3*(y + 52)*(y + 413)**2/2
Factor -2012*l**2 - 1780*l + 232.
-4*(l + 1)*(503*l - 58)
Find z such that 4*z**2 + 2988*z + 74984 = 0.
-721, -26
Suppose 3*m**2/7 - 105*m - 4518/7 = 0. What is m?
-6, 251
Find p, given that -2*p**2/9 - 59588*p/9 - 443841218/9 = 0.
-14897
Solve -238*t**5/11 - 8088*t**4/11 - 64838*t**3/11 + 1092*t**2/11 = 0.
-21, -13, 0, 2/119
Suppose -15*k**2 + 3096*k - 1236 = 0. Calculate k.
2/5, 206
Factor 5*z**3 + 1640*z**2 + 65300*z + 124080.
5*(z + 2)*(z + 44)*(z + 282)
Factor t**4/3 - 8966*t**3 + 180902497*t**2/3 - 120574768*t + 180848704/3.
(t - 13448)**2*(t - 1)**2/3
Solve -2*n**3 - 432982*n**2 - 865958*n - 432978 = 0 for n.
-216489, -1
Factor -1150*r**3/13 - 84924*r**2 - 264971520*r/13 - 2764800/13.
-2*(r + 480)**2*(575*r + 6)/13
Find h such that 2*h**4 + 4202*h**3 + 2225904*h**2 + 19727560*h + 17505856 = 0.
-1046, -8, -1
Factor -3*f**3 + 18*f**2 + 885*f - 900.
-3*(f - 20)*(f - 1)*(f + 15)
Factor 5*h**4 + 6235*h**3 - 6250*h**2 - 12480*h.
5*h*(h - 2)*(h + 1)*(h + 1248)
Suppose -i**5/3 + 2*i**4 + 11*i**3/3 - 8*i**2 - 28*i/3 = 0. What is i?
-2, -1, 0, 2, 7
Solve 2*x**2/5 - 47892*x/5 - 574992/5 = 0 for x.
-12, 23958
Factor -5*k**2 + 4145*k - 230700.
-5*(k - 769)*(k - 60)
Suppose -2*p**4/11 - 100*p**3/11 - 1198*p**2/11 + 100*p/11 + 1200/11 = 0. What is p?
-30, -20, -1, 1
Factor 47*w**3/6 + 1789*w**2/6 + 1853*w/6 + 37/2.
(w + 1)*(w + 37)*(47*w + 3)/6
Factor 4*p**4 - 453360*p**3 - 906732*p**2 - 453368*p.
4*p*(p - 113342)*(p + 1)**2
Find l such that 3*l**4 + 819*l**3/2 - 828*l**2 + 831*l/2 = 0.
-277/2, 0, 1
Solve j**2 - 48*j - 1633 = 0 for j.
-23, 71
Factor -2*t**3/15 + 16064*t**2/15 + 37646*t.
-2*t*(t - 8067)*(t + 35)/15
Determine s, given that 4*s**2 + 516064*s + 16645128256 = 0.
-64508
Determine g, given that -g**2 - 8213*g = 0.
-8213, 0
Solve -2*n**4/11 - 9754*n**3/11 + 441924*n**2/11 - 472424*n + 433136 = 0 for n.
-4922, 1, 22
Let -4*k**3 - 940*k**2 + 590948*k - 54129204 = 0. What is k?
-549, 157
Suppose -3*c**5 - 72*c**4 - 525*c**3 - 900*c**2 + 2148*c + 4752 = 0. Calculate c.
-11, -9, -4, -2, 2
Factor s**3/3 - 131*s**2 + 9592*s - 590480/3.
(s - 305)*(s - 44)**2/3
Let y**3/2 + 104*y**2 - 8381*y/2 + 15066 = 0. Calculate y.
-243, 4, 31
Determine a, given that 2*a**3/3 + 19640*a**2 + 144766368*a + 1734369408 = 0.
-14724, -12
Solve -2*q**3/7 + 333222*q**2/7 - 1982825610*q + 13879446050/7 = 0 for q.
1, 83305
Suppose -2*z**4 + 42*z**3 + 10*z**2 - 1050*z + 1000 = 0. What is z?
-5, 1, 5, 20
What is n in -5576*n**2 - 44612*n - 32 = 0?
-8, -1/1394
Determine y so that 2*y**3/11 - 1134*y**2/11 + 3348*y/11 + 20304/11 = 0.
-3, 6, 564
Factor 30*a**3 - 212365*a**2 + 176945*a + 35390.
5*(a - 7078)*(a - 1)*(6*a + 1)
Let 3*d**2 - 1131*d + 104328 = 0. What is d?
161, 216
Solve -2*k**3/7 - 174*k**2/7 - 3564*k/7 - 11600/7 = 0.
-58, -25, -4
Let 4*b**3 - 2237*b**2/8 - 1241*b/4 - 213/8 = 0. What is b?
-1, -3/32, 71
Find b, given that 3*b**5/5 + 177*b**4/5 + 171*b**3/5 - 16497*b**2 + 82134*b/5 = 0.
-39, 0, 1, 18
Let 3*i**5 - 631*i**4/2 + 21393*i**3/2 - 117946*i**2 + 125202*i - 17640 = 0. Calculate i.
1/6, 1, 20, 42
Let 5*w**4/3 + 200*w**3/3 + 660*w**2 - 800*w/3 - 8000/3 = 0. What is w?
-20, -2, 2
Factor 4*i**4 - 55*i**3 - 138*i**2 - 95*i - 16.
(i - 16)*(i + 1)**2*(4*i + 1)
What is t in -t**4/2 - 1326*t**3 - 887058*t**2 - 10501920*t - 31363200 = 0?
-1320, -6
Factor 16*u**3/3 - 10