?
-13, 0, 10
Suppose 5*g**4 + 130*g**3 + 1020*g**2 + 1400*g - 8000 = 0. Calculate g.
-10, -8, 2
Factor 4*n**3/5 - 8812*n**2/5 + 669084*n/5 - 2585700.
4*(n - 2125)*(n - 39)**2/5
Suppose f**2/4 + 835*f/2 + 5001/4 = 0. Calculate f.
-1667, -3
Solve g**2 - 331*g = 0 for g.
0, 331
Suppose 2*k**5/11 + 10102*k**4/11 + 12771350*k**3/11 + 3433526*k**2 - 575118640*k/11 - 2229701600/11 = 0. What is k?
-2524, -5, 7
Factor -2850*v**5/7 - 59854*v**4/7 - 59862*v**3 - 139734*v**2 - 196*v.
-2*v*(v + 7)**3*(1425*v + 2)/7
Factor -2*o**3/3 - 93*o**2 + 236*o - 284/3.
-(o - 2)*(o + 142)*(2*o - 1)/3
Let -5*m**3/2 + 97755*m**2/2 - 477850875*m/2 + 477753125/2 = 0. Calculate m.
1, 9775
Factor v**4 + 184*v**3 - v**2 - 184*v.
v*(v - 1)*(v + 1)*(v + 184)
Determine q, given that q**4/3 + 12*q**3 + 277*q**2/3 - 222*q + 352/3 = 0.
-22, -16, 1
Find m such that -5*m**5 - 850*m**4 + 9790*m**3 - 29680*m**2 + 33415*m - 12670 = 0.
-181, 1, 2, 7
Determine p, given that -400*p**5 - 2840*p**4 - 281*p**3 + 14393*p**2 + 1440*p + 36 = 0.
-6, -3, -1/20, 2
Factor -2*j**3 + 23490*j**2 - 93936*j + 93928.
-2*(j - 11741)*(j - 2)**2
Solve -50*d**5/7 - 19860*d**4/7 - 1983978*d**3/7 - 2359368*d**2/7 - 705672*d/7 = 0.
-198, -3/5, 0
Let -2*t**4/7 + 22112*t**3/7 - 8731080*t**2 - 88448*t/7 + 244470272/7 = 0. What is t?
-2, 2, 5528
Factor -o**3 + 22*o**2 + 593*o + 570.
-(o - 38)*(o + 1)*(o + 15)
Let -5*g**3 - 36245*g**2 + 5*g + 36245 = 0. What is g?
-7249, -1, 1
Factor 5*k**2 + 867850*k + 37658181125.
5*(k + 86785)**2
What is k in -33*k**5 - 612*k**4 - 4053*k**3 - 11538*k**2 - 13500*k - 4536 = 0?
-7, -6, -3, -2, -6/11
Determine h, given that 8*h**5/3 + 102*h**4 + 1052*h**3 + 10466*h**2/3 + 3112*h + 576 = 0.
-24, -9, -4, -1, -1/4
Factor 3*j**4/2 - 5826*j**3 + 5662869*j**2 - 11308266*j + 11302443/2.
3*(j - 1941)**2*(j - 1)**2/2
Factor 2*p**3 - 1062*p**2 + 49120*p + 333384.
2*(p - 479)*(p - 58)*(p + 6)
Factor -p**3/5 + 177*p**2/5 - 2414*p/5 - 2592/5.
-(p - 162)*(p - 16)*(p + 1)/5
Let 2*g**3/11 + 1864*g**2/11 + 438016*g/11 + 1722368/11 = 0. What is g?
-464, -4
What is i in -3*i**2 + 12426*i = 0?
0, 4142
Determine x, given that -26569*x**3/6 + 1036517*x**2/2 - 38145*x/2 + 351/2 = 0.
3/163, 117
Solve -d**4/4 + 5*d**3/2 + 211*d**2/4 + 113*d - 168 = 0 for d.
-8, -4, 1, 21
Factor -3*l**4 - 57*l**3 + 9*l**2 + 2769*l - 5070.
-3*(l - 5)*(l - 2)*(l + 13)**2
Find g such that -120*g**3/7 - 205437*g**2/7 - 87923184*g/7 + 2198208/7 = 0.
-856, 1/40
Suppose 2*b**3 + 10798*b**2 - 32412*b = 0. Calculate b.
-5402, 0, 3
Let 3*w**3 + 3765*w**2 - 3768*w = 0. Calculate w.
-1256, 0, 1
Find h, given that -2*h**3/23 - 204*h**2/23 + 16878*h/23 + 75272 = 0.
-97, 92
Factor -3*i**3 - 2151*i**2 + 8652*i.
-3*i*(i - 4)*(i + 721)
Factor f**2 - 12260*f - 49056.
(f - 12264)*(f + 4)
Factor -5*j**3 - 7290*j**2 - 2693280*j - 26208800.
-5*(j + 10)*(j + 724)**2
Solve z**2 - 20314*z + 103164649 = 0 for z.
10157
Factor 2*p**2/3 - 58924*p + 1302014166.
2*(p - 44193)**2/3
Find o, given that -o**4/9 - 958*o**3/9 - 319*o**2/3 = 0.
-957, -1, 0
Factor p**2/2 + 8637*p/2.
p*(p + 8637)/2
Factor -o**3 + 1150*o**2 + 21007*o + 19856.
-(o - 1168)*(o + 1)*(o + 17)
Factor y**3 - 29661*y**2 + 220017864*y - 1099347920.
(y - 14828)**2*(y - 5)
Let 3*l**4 + 534*l**3 + 19584*l**2 - 387072*l = 0. Calculate l.
-96, 0, 14
Factor -334*w**2/11 - 120*w + 64/11.
-2*(w + 4)*(167*w - 8)/11
Suppose 3*o**3/4 - 627*o**2/2 - 61119*o/4 + 31185/2 = 0. What is o?
-45, 1, 462
Find m such that -m**2/3 + 29748*m - 663707628 = 0.
44622
Solve -2*f**4/9 + 4*f**3 - 208*f**2/9 + 128*f/3 = 0.
0, 4, 6, 8
Solve 5*v**2 - 8185*v - 16390 = 0 for v.
-2, 1639
What is a in 2*a**5/9 + 4*a**4 - 4*a**3/9 - 8*a**2 + 2*a/9 + 4 = 0?
-18, -1, 1
Determine i so that -5*i**3 + 685*i**2 - 8535*i - 9225 = 0.
-1, 15, 123
Factor -4*m**2/3 - 53248*m/3 + 195404.
-4*(m - 11)*(m + 13323)/3
What is q in q**2/6 - 403*q/3 - 9229/2 = 0?
-33, 839
Factor -n**3 + 482*n**2 - 58460*n + 115000.
-(n - 250)*(n - 230)*(n - 2)
Let 2*a**2 + 963014*a + 1926020 = 0. Calculate a.
-481505, -2
Determine n, given that -3*n**4/8 + 279*n**3/8 - 135*n**2 + 267*n/2 = 0.
0, 2, 89
Let 3*n**2 - 198849*n + 397686 = 0. What is n?
2, 66281
Determine q, given that -2*q**4/7 - 686*q**3 + 24046*q**2/7 - 33678*q/7 + 14436/7 = 0.
-2406, 1, 3
Factor 2*o**2 - 10702*o - 290412.
2*(o - 5378)*(o + 27)
Let -s**5 + 11*s**4 + 45*s**3 - 31*s**2 - 148*s - 84 = 0. Calculate s.
-3, -1, 2, 14
Let 6*w**3/7 - 2622*w**2/7 - 7920*w/7 = 0. What is w?
-3, 0, 440
Let w**4 + 5770*w**3 - 3*w**2 - 17308*w + 11540 = 0. Calculate w.
-5770, -2, 1
Let r**3 + 28*r**2 - 49*r - 1372 = 0. Calculate r.
-28, -7, 7
Determine l so that 2*l**5 + 64*l**4 + 470*l**3 + 1360*l**2 + 1688*l + 736 = 0.
-23, -4, -2, -1
Find i, given that 4*i**5 - 836*i**4 + 780*i**3 + 10820*i**2 - 784*i - 9984 = 0.
-3, -1, 1, 4, 208
Suppose h**2/3 - 67*h/3 - 770/3 = 0. What is h?
-10, 77
Determine m so that 2*m**5/9 + 68*m**4/3 + 2578*m**3/9 - 928*m**2/3 = 0.
-87, -16, 0, 1
Factor u**4/3 - 155*u**3/3 - 4784*u**2 + 768108*u.
u*(u - 138)**2*(u + 121)/3
Factor 260*h**3/3 - 30172*h**2/3 + 876032*h/3 - 13456.
4*(h - 58)**2*(65*h - 3)/3
Factor -2*c**2/21 + 3560*c/21 + 14272/21.
-2*(c - 1784)*(c + 4)/21
Factor 39*h**2 - 2163*h + 2124.
3*(h - 1)*(13*h - 708)
Suppose 3*k**4 + 369*k**3 - 39*k**2 - 4761*k + 4428 = 0. Calculate k.
-123, -4, 1, 3
Factor u**3/6 - 7*u**2 + 413*u/6 - 174.
(u - 29)*(u - 9)*(u - 4)/6
Find o such that -o**2/5 + 551646*o/5 - 76078327329/5 = 0.
275823
Factor -5*s**3 - 705960*s**2 + 1411935*s - 705970.
-5*(s - 1)**2*(s + 141194)
Suppose 3*x**3 - 234*x**2 - 1263*x + 1494 = 0. What is x?
-6, 1, 83
Let g**2/4 + 36783*g + 1352989089 = 0. Calculate g.
-73566
Factor c**4/3 - 19*c**3/3 - 26*c**2/3 + 40*c.
c*(c - 20)*(c - 2)*(c + 3)/3
Factor 2*f**4/3 - 34*f**3/3 - 160*f**2/3 - 56*f.
2*f*(f - 21)*(f + 2)**2/3
Find r such that -5*r**3 + 15530*r**2 - 15515*r - 31050 = 0.
-1, 2, 3105
Suppose -145*n**4/6 + 14345*n**3/6 - 1720*n**2 - 142490*n/3 - 9800/3 = 0. What is n?
-4, -2/29, 5, 98
Factor 4*m**2 + 50860*m + 50856.
4*(m + 1)*(m + 12714)
Determine w so that -3*w**4/2 - 1149*w**3/2 + 576*w**2 = 0.
-384, 0, 1
Solve f**2/7 + 928742*f/7 + 215640425641/7 = 0 for f.
-464371
Factor 3*y**3 + 1245*y**2 - 8826*y + 15192.
3*(y - 4)*(y - 3)*(y + 422)
What is a in -a**3/3 - 76*a**2 - 1284*a - 5040 = 0?
-210, -12, -6
Suppose 4*p**3 - 13949*p**2 - 10465*p + 3488 = 0. What is p?
-1, 1/4, 3488
Suppose -a**2 - 61*a + 2492 = 0. What is a?
-89, 28
Solve -2*s**2 - 1120*s + 26818 = 0 for s.
-583, 23
Solve -2*i**4/3 + 8*i**3/3 + 38*i**2/3 - 212*i/3 + 80 = 0.
-5, 2, 3, 4
Factor 5*b**3/2 - 1925*b**2/2 - 965*b.
5*b*(b - 386)*(b + 1)/2
Determine d, given that 16*d**5/11 - 1480*d**4/11 + 932*d**3 - 4390*d**2/11 - 2564*d/11 + 1190/11 = 0.
-1/2, 1/2, 7, 85
Solve -2*a**2/7 - 17328*a/7 - 672750/7 = 0 for a.
-8625, -39
Factor 5*n**3 - 3010*n**2 - 91355*n - 88340.
5*(n - 631)*(n + 1)*(n + 28)
Solve -6*w**4 - 9*w**3 + 69*w**2 + 36*w = 0.
-4, -1/2, 0, 3
Factor -3*s**3/7 - 43734*s**2/7 - 159388563*s/7.
-3*s*(s + 7289)**2/7
Suppose -6*p**5/13 - 8*p**4 + 56*p**3 + 9860*p**2/13 - 7058*p/13 - 3420/13 = 0. Calculate p.
-19, -9, -1/3, 1, 10
Solve 4*l**3 - 599660*l**2 + 22474207392*l + 22474807056 = 0.
-1, 74958
Determine i, given that -2*i**3 + 34*i**2 - 88*i + 56 = 0.
1, 2, 14
Factor -4*z**3 - 33612*z**2 + 168144*z - 134528.
-4*(z - 4)*(z - 1)*(z + 8408)
Determine s, given that -4*s**2 - 420*s + 3136 = 0.
-112, 7
Suppose -c**3/7 + 1079*c**2/7 + 25370*c/7 - 26448/7 = 0. What is c?
-24, 1, 1102
Find d such that -4*d**3 + 275372*d**2 + 550756*d + 275380 = 0.
-1, 68845
Suppose 14*g**5 + 3674*g**4 + 280456*g**3/7 - 166568*g**2/7 + 24096*g/7 = 0. What is g?
-251, -12, 0, 2/7
Solve -y**4/2 - 123*y**3 + 1767*y**2/2 - 512*y - 1518 = 0.
-253, -1, 2, 6
What is z in 2*z**2 + 1285932*z + 206702638578 = 0?
-321483
Factor s**3/3 - 355*s**2/3 - 2542*s/3 + 2896/3.
(s - 362)*(s - 1)*(s + 8)/3
Solve 15*p**4 + 21741*p**3 + 7871319*p**2 - 4739325*p - 3153750 = 0 for p.
-725, -2/5, 1
Solve -50*q**5 - 1445*q**4 + 3210*q**3 - 1420*q**2 - 760*q + 465 = 0 for q.
-31, -1/2, 3/5, 1
Solve 2*g**4 - 2948*g**3 + 35058*g**2 + 43912*g - 76024 = 0.
-2, 1, 13, 1462
Determine q, given that -2*q**2/13 - 7920*q/13 - 15832/13 = 0.
-3958, -2
Factor t**2/2 + 85790*t + 3679962050.
(t + 8579