3/8.
(n + 1)*(18*n - 643)/8
Suppose 2*s**2/5 + 35204*s/5 + 154915202/5 = 0. Calculate s.
-8801
Solve 2*j**4 - 38140*j**3 - 76286*j**2 - 38144*j = 0 for j.
-1, 0, 19072
Find l such that -5*l**2 + 12855*l + 337610 = 0.
-26, 2597
Find y such that 4*y**2 - 976*y - 155760 = 0.
-110, 354
Factor 2*u**3 + 70*u**2 - 1768*u.
2*u*(u - 17)*(u + 52)
Factor 5*v**5 + 15*v**4 + 5*v**3 - 15*v**2 - 10*v.
5*v*(v - 1)*(v + 1)**2*(v + 2)
Factor 4*z**2 - 103496*z + 669463876.
4*(z - 12937)**2
Determine u, given that 8*u**4 - 551*u**3 + 1003*u**2 + 134*u = 0.
-1/8, 0, 2, 67
Solve -2*b**4 - 418*b**3 - 2850*b**2 - 4454*b - 2020 = 0 for b.
-202, -5, -1
Factor 9*d**2/8 - 20595*d/8 - 6873.
3*(d - 2291)*(3*d + 8)/8
Let -s**2/2 - 2703*s - 7306209/2 = 0. Calculate s.
-2703
Suppose -4*v**3 + 13020*v**2 - 284504*v = 0. Calculate v.
0, 22, 3233
Let 2*d**5/3 + 2190*d**4 - 26300*d**3/3 + 39460*d**2/3 - 8770*d + 6578/3 = 0. Calculate d.
-3289, 1
Solve -21*j**4 + 6666*j**3 - 2799*j**2 - 17094*j - 7608 = 0.
-1, -4/7, 2, 317
Find a, given that -2*a**3 + 13922*a**2 + 27850*a + 13926 = 0.
-1, 6963
Factor -4*p**2 - 297088*p - 5516329984.
-4*(p + 37136)**2
Factor 4*j**3 - 1368*j**2 - 16848*j - 50976.
4*(j - 354)*(j + 6)**2
Factor -5*m**3 + 6760*m**2 - 224060*m.
-5*m*(m - 1318)*(m - 34)
Suppose 2*i**3 - 848*i**2 - 862*i + 5100 = 0. Calculate i.
-3, 2, 425
Find p, given that 2*p**4/3 + 70*p**3 - 16328*p**2/3 = 0.
-157, 0, 52
Factor -2*s**4/11 + 296*s**3 - 1312104*s**2/11 - 968512*s - 21411968/11.
-2*(s - 818)**2*(s + 4)**2/11
Factor -5*g**4/3 - 124820*g**3/3 - 779251220*g**2/3 - 1038502400*g - 1038336000.
-5*(g + 2)**2*(g + 12480)**2/3
Determine t so that 3*t**3/7 + 765*t**2/7 - 87357*t + 610731/7 = 0.
-597, 1, 341
Solve y**3/8 + 10*y**2 + 639*y/8 = 0 for y.
-71, -9, 0
Find g, given that -g**4 - 1418*g**3 - 2832*g**2 = 0.
-1416, -2, 0
Determine y, given that y**4/4 + 311*y**3/2 + 619*y**2/4 - 621*y/2 = 0.
-621, -2, 0, 1
What is l in -2*l**4/17 - 506*l**3/17 + 434*l**2 - 26166*l/17 = 0?
-267, 0, 7
Solve -2*k**5 - 316*k**4 - 12428*k**3 + 8640*k**2 + 354078*k + 674028 = 0 for k.
-79, -3, 6
Factor g**2 - 2749*g - 11012.
(g - 2753)*(g + 4)
Factor -5*p**2 - 50505*p - 100990.
-5*(p + 2)*(p + 10099)
Determine x so that -4*x**3 - 768*x**2 + 66820*x = 0.
-257, 0, 65
Factor t**2/11 + 9683*t/11 + 67732/11.
(t + 7)*(t + 9676)/11
Find t, given that -50*t**5/7 - 172*t**4/7 + 6*t**3/7 + 416*t**2/7 + 88*t/7 - 288/7 = 0.
-2, -36/25, 1
Find j such that -j**2 - 434620*j - 47223636100 = 0.
-217310
Determine x so that -2*x**4/9 - 7210*x**3/9 - 80918*x**2/3 + 264394*x/9 + 499940/9 = 0.
-3571, -35, -1, 2
Determine q so that -2*q**2/3 - 2701456*q/3 - 912233064992/3 = 0.
-675364
Solve -12*h**4 - 1396*h**3 - 35016*h**2 - 10592*h + 23040 = 0.
-80, -36, -1, 2/3
Find u, given that 4*u**2 + 134128*u + 402348 = 0.
-33529, -3
What is c in 2*c**4 - 724*c**3 + 51408*c**2 - 1351616*c + 12205312 = 0?
28, 278
Suppose -p**3 - 878*p**2 - 6967*p - 6090 = 0. What is p?
-870, -7, -1
Suppose 5*s**2 + 3455*s - 31500 = 0. Calculate s.
-700, 9
Let 2*c**5/11 - 98*c**4/11 + 56*c**3 - 1192*c**2/11 + 672*c/11 = 0. What is c?
0, 1, 2, 4, 42
Find c, given that -5*c**3 - 485*c**2 - 12600*c - 98820 = 0.
-61, -18
Factor a**3/10 + 581*a**2/10 - 8269*a/2 - 8385/2.
(a - 65)*(a + 1)*(a + 645)/10
Let -4*c**3 + 509644*c**2 + 4*c - 509644 = 0. What is c?
-1, 1, 127411
Suppose -t**4/4 - 403*t**3/4 - 12819*t**2/2 + 807128*t - 1587808 = 0. Calculate t.
-232, 2, 59
Factor -o**2/7 - 202094*o/7 - 10210496209/7.
-(o + 101047)**2/7
Solve -3*z**2/7 + 673632*z/7 - 37815005952/7 = 0.
112272
Find k, given that k**4/6 + 629*k**3/3 + 6639*k**2/2 + 9288*k - 33534 = 0.
-1242, -9, 2
Factor 3*o**3 + 514863*o**2 + 3089097*o + 4633605.
3*(o + 3)**2*(o + 171615)
Solve -4*m**2 - 149240*m - 1392036100 = 0.
-18655
Let 63*b**5/2 - 51630*b**4 + 432427*b**3/8 + 8209*b**2/8 - 7781*b/2 + 819/2 = 0. Calculate b.
-2/7, 1/6, 1, 1638
Factor -2*b**2/11 + 152*b/11 + 91290/11.
-2*(b - 255)*(b + 179)/11
Let -59*g**5 - 1168*g**4 - 881*g**3 + 228*g**2 = 0. What is g?
-19, -1, 0, 12/59
Factor -2*b**2/7 - 1830*b + 25628/7.
-2*(b - 2)*(b + 6407)/7
Factor -m**3/3 + 527*m**2/3 - 14491*m/3 - 5564881.
-(m - 337)**2*(m + 147)/3
Determine p so that -5*p**5/3 - 85*p**4/3 - 335*p**3/3 - 145*p**2 - 60*p = 0.
-12, -3, -1, 0
Solve -132*i**2/7 + 645*i/7 - 762/7 = 0.
2, 127/44
Find p, given that -2*p**3 - 177474*p**2 - 3937216320*p - 3937038848 = 0.
-44368, -1
Factor 2*f**3/19 + 90*f**2 - 13776*f/19 + 27616/19.
2*(f - 4)**2*(f + 863)/19
Let 2*c**3/7 + 400*c**2 - 16854*c/7 + 25308/7 = 0. What is c?
-1406, 3
Factor -w**2 + 70353*w - 140702.
-(w - 70351)*(w - 2)
Determine w so that -16*w**3 + 200136*w**2 + 300231*w + 112590 = 0.
-3/4, 12510
Factor g**2 - 253*g + 10890.
(g - 198)*(g - 55)
Factor 2*m**2 + 95392*m + 1137454208.
2*(m + 23848)**2
Suppose f**5/6 - 149*f**4/3 + 1644*f**3 - 19152*f**2 + 75456*f = 0. Calculate f.
0, 12, 262
Solve -5*d**2 + 123690*d - 764960805 = 0.
12369
Factor -y**3 - 641*y**2 + 7809*y - 17631.
-(y - 9)*(y - 3)*(y + 653)
Determine u so that -u**2/7 + 5029*u/7 + 50390/7 = 0.
-10, 5039
Solve -2*g**5 + 56*g**4 + 318*g**3 + 396*g**2 = 0 for g.
-3, -2, 0, 33
Determine t, given that -3*t**3 - 156*t**2 - 1617*t + 1776 = 0.
-37, -16, 1
Factor k**4/3 + 1539*k**3 + 2370058*k**2 + 3659341868*k/3 + 3638052872.
(k + 3)*(k + 1538)**3/3
Let w**4 - 15398*w**3 - 215736*w**2 - 493312*w + 1972736 = 0. Calculate w.
-8, 2, 15412
Factor -o**3/6 - 45*o**2/2 + 3451*o/2 - 162313/6.
-(o - 29)**2*(o + 193)/6
Factor -o**2/5 - 3*o + 2494/5.
-(o - 43)*(o + 58)/5
Determine a, given that 2*a**2/11 - 532956*a/11 + 35505262242/11 = 0.
133239
Solve -6*t**2/7 - 312232*t/7 + 104078/7 = 0.
-52039, 1/3
Find v such that 6*v**2 - 8050*v - 2684 = 0.
-1/3, 1342
Factor -j**3/6 + 1522*j**2 + 9134*j/3.
-j*(j - 9134)*(j + 2)/6
Determine k, given that k**5/5 - 137*k**4/5 + 6446*k**3/5 - 23942*k**2 + 155805*k - 325125 = 0.
5, 25, 51
Solve 5*h**2 - 10410*h + 557425 = 0 for h.
55, 2027
Let -3*l**4/5 + 78*l**3 - 2256*l**2/5 + 2976*l/5 = 0. What is l?
0, 2, 4, 124
Factor -d**3 + 157598*d**2 + 630404*d + 630408.
-(d - 157602)*(d + 2)**2
Find n such that -n**5 + 119*n**4 - 4183*n**3 + 42233*n**2 + 97496*n + 50960 = 0.
-1, 28, 65
Determine o so that -5*o**5 - 55*o**4 + 720*o**3 + 1180*o**2 - 7600*o + 5760 = 0.
-18, -4, 1, 2, 8
Determine d so that 4*d**3/3 - 7232*d**2/3 - 36284*d/3 + 14504 = 0.
-6, 1, 1813
Factor -23*t**3/3 + 67*t**2 - 10*t/3 - 336.
-(t - 8)*(t + 2)*(23*t - 63)/3
Find j, given that -j**2/3 + 141934*j/3 - 5036315089/3 = 0.
70967
Determine m so that 5*m**3 - 2540*m**2 - 25775*m - 64750 = 0.
-5, 518
Determine s so that s**2/2 + 4145*s - 8292 = 0.
-8292, 2
Solve 15*a**5/4 + 21631*a**4/4 + 715*a**3/2 - 4327*a**2 - 1442*a = 0 for a.
-1442, -2/3, -2/5, 0, 1
Suppose -4*b**3 + 364*b**2 + 728*b - 33120 = 0. What is b?
-10, 9, 92
Factor 2*h**2/3 - 1280*h/3 + 10112/3.
2*(h - 632)*(h - 8)/3
Solve -p**2/2 + 42796*p = 0.
0, 85592
Determine v, given that v**4 + 689*v**3 + 145435*v**2 + 8615475*v = 0.
-295, -99, 0
Solve 320*x**5 - 27929840*x**4 - 6982660*x**3 + 15710635*x**2 - 4800460*x + 436405 = 0 for x.
-1, 1/4, 87281
Let z**3/5 - 356*z**2/5 - 44039*z/5 + 44394/5 = 0. What is z?
-98, 1, 453
Let 9*j**2/5 + 732*j - 2460 = 0. What is j?
-410, 10/3
Factor -q**4/5 - 41*q**3/5 + 426*q**2/5 - 236*q + 200.
-(q - 5)*(q - 2)**2*(q + 50)/5
Factor h**3/5 - 60119*h**2/5 + 180708696*h + 180720720.
(h - 30060)**2*(h + 1)/5
Factor -l**4 - 343*l**3 + 22980*l**2 - 475600*l + 3224000.
-(l - 20)**3*(l + 403)
Factor -s**2/2 + 441*s/2 + 31301.
-(s - 554)*(s + 113)/2
Solve 2*n**3/11 + 8044*n**2/11 + 8096280*n/11 + 16160400/11 = 0 for n.
-2010, -2
Factor a**3/5 - 1193*a**2/5 - 15666*a/5 - 14472/5.
(a - 1206)*(a + 1)*(a + 12)/5
Find w, given that 2*w**4 - 268*w**3 + 5150*w**2 - 4884*w = 0.
0, 1, 22, 111
Find p, given that p**5/6 + 547*p**4/3 + 8132*p**3/3 + 42703*p**2/3 + 178135*p/6 + 53950/3 = 0.
-1079, -5, -4, -1
Find g such that -5*g**2 + 24730*g - 172865 = 0.
7, 4939
Determine b so that 3*b**4 + 3615*b**3 + 7203*b**2 - 18063*b - 21654 = 0.
-1203, -3, -1, 2
Find n such that 4*n**3/3 - 2932*n**2/3 + 976*n = 0.
0, 1, 732
What is t in 3*t**2 - 8673*t - 1483758 = 0?
-162, 3053
Suppose 3*c**2 + 1179*c + 2346 = 0. What is c?
-391, -2
Let 28347*l**2/4 + 2834