)
Factor -4*v**3 - 8815*v**2 - 4855412*v + 1214404.
-(v + 1102)**2*(4*v - 1)
Factor -2*m**2/11 - 12554*m/11 - 337500/11.
-2*(m + 27)*(m + 6250)/11
Determine h so that -4161*h**2 - 29139*h - 84 = 0.
-7, -4/1387
Determine p so that -851*p**5/6 - 13*p**4/3 + 851*p**3 + 3482*p**2/3 + 2761*p/6 + 13 = 0.
-1, -26/851, 3
Solve 4*a**5/9 - 5440*a**4/9 + 1849600*a**3/9 = 0 for a.
0, 680
Find r such that r**5 + 1668*r**4/5 - 43043*r**3/5 + 45614*r**2 + 520572*r/5 - 242008/5 = 0.
-358, -2, 2/5, 13
Suppose -2*s**2 + 57342*s = 0. What is s?
0, 28671
Let -5*l**3 - 76528*l**2 - 45913*l + 30610 = 0. What is l?
-15305, -1, 2/5
Suppose 2*h**3/13 + 53418*h**2/13 + 213648*h/13 + 213640/13 = 0. What is h?
-26705, -2
Let -335*n**3/3 - 1589*n**2/3 - 2422*n/3 - 1168/3 = 0. What is n?
-2, -584/335, -1
Find y such that 306*y**5/5 - 3654*y**4 + 46718*y**3/5 + 27878*y**2/5 - 36048*y/5 + 1368/5 = 0.
-1, 2/51, 2/3, 3, 57
Find r, given that r**3/5 + 612*r**2 + 2118948*r/5 - 347290144/5 = 0.
-1598, 136
Suppose 3*o**2 + 76881*o + 153750 = 0. What is o?
-25625, -2
Suppose -4*q**5 - 188*q**4 - 1616*q**3 + 12368*q**2 - 10560*q = 0. Calculate q.
-30, -22, 0, 1, 4
Let 4*p**4 - 5460*p**3 + 102132*p**2 + 220660*p + 113064 = 0. Calculate p.
-1, 21, 1346
Factor g**3/2 + 9077*g**2/2 - 18157*g/2 + 9079/2.
(g - 1)**2*(g + 9079)/2
Let 6*f**5/7 - 1342*f**4/7 + 8758*f**3/7 - 16962*f**2/7 + 1116*f = 0. Calculate f.
0, 2/3, 3, 217
Factor p**2/2 - 48457*p/2 + 96906.
(p - 48453)*(p - 4)/2
Factor 12*x**4/5 + 226064*x**3/5 + 1064761436*x**2/5 + 709740488*x/5.
4*x*(x + 9419)**2*(3*x + 2)/5
Factor x**4/2 - 79*x**3/2 + 1035*x**2/2 + 22275*x/2.
x*(x - 45)**2*(x + 11)/2
Factor k**2/8 - 2089*k/8 + 15555/4.
(k - 2074)*(k - 15)/8
Factor 17*u**3/4 + 229*u**2 + 12285*u/4 - 729/2.
(u + 27)**2*(17*u - 2)/4
Factor 412*t**3/7 + 8320*t**2/7 + 42800*t/7 + 8000/7.
4*(t + 10)**2*(103*t + 20)/7
Determine w so that -w**3 + 6002*w**2 - 8999996*w - 18024008 = 0.
-2, 3002
Determine t, given that 3*t**5/4 - 10479*t**4/4 + 2299458*t**3 - 20546031*t**2 + 54663960*t - 36414768 = 0.
1, 4, 1742
Factor -4*m**3 + 18528*m**2 - 21343824*m - 258800832.
-4*(m - 2322)**2*(m + 12)
Suppose -3*r**3 + 2643*r**2 - 31344*r + 52140 = 0. What is r?
2, 10, 869
Find k such that 2*k**5 + 216*k**4 + 5830*k**3 - 216*k**2 - 5832*k = 0.
-54, -1, 0, 1
Determine x so that 5*x**4 + 2680*x**3 - 171325*x**2 + 2503500*x + 2677500 = 0.
-595, -1, 30
Determine f, given that f**4/3 - 1517*f**3/3 + 1511*f**2 + 13621*f/3 + 7570/3 = 0.
-1, 5, 1514
Suppose -o**3/6 + 1275*o**2 + 22963*o/6 - 5102 = 0. Calculate o.
-4, 1, 7653
Determine i, given that -17*i**5 - 545*i**4 + 7108*i**3 + 420*i**2 = 0.
-42, -1/17, 0, 10
Suppose -i**4/2 - 31*i**3 - 384*i**2 - 1505*i - 2303/2 = 0. Calculate i.
-47, -7, -1
Factor 2*f**3/3 - 1010*f**2/3 - 7168*f/3.
2*f*(f - 512)*(f + 7)/3
What is i in -5*i**5/3 - 347*i**4/3 + 6134*i**3 - 253964*i**2/3 + 1059688*i/3 + 155232 = 0?
-108, -2/5, 11, 14
Factor n**2/2 + 225*n/2 - 1175.
(n - 10)*(n + 235)/2
Solve 3*t**2/2 - 4204*t - 150414 = 0 for t.
-106/3, 2838
Solve -2*o**4/5 + 1414*o**3/5 - 236018*o**2/5 - 4957854*o/5 - 8960292/5 = 0 for o.
-17, -2, 363
Factor 5*u**3 - 133860*u**2 + 535380*u - 535360.
5*(u - 26768)*(u - 2)**2
What is r in -4*r**5 - 76*r**4 - 324*r**3 + 220*r**2 + 856*r - 672 = 0?
-12, -7, -2, 1
Let -2*w**3/5 + 252*w**2/5 + 3450*w - 3500 = 0. Calculate w.
-50, 1, 175
Solve p**3/3 - 109*p**2/3 + 300*p = 0.
0, 9, 100
Determine h, given that -5*h**2/2 + 91130*h - 830467690 = 0.
18226
Factor -2*t**3/3 + 1948*t**2/3 - 121920*t.
-2*t*(t - 720)*(t - 254)/3
Factor -5*n**2/3 + 2225*n/3 + 2230/3.
-5*(n - 446)*(n + 1)/3
Let 5*r**4 + 138510*r**3 + 958973945*r**2 - 3837558060*r + 3838112180 = 0. What is r?
-13853, 2
Factor -5*n**3 - 1865*n**2 + 19105*n - 17235.
-5*(n - 9)*(n - 1)*(n + 383)
Factor -4*b**3 - 3208*b**2 - 595940*b + 19289200.
-4*(b - 28)*(b + 415)**2
Suppose -2*q**3/3 + 75682*q**2/3 - 716008480*q/3 + 715932800/3 = 0. Calculate q.
1, 18920
Factor 3*o**3 + 1608*o**2 + 215472*o.
3*o*(o + 268)**2
Factor -u**4 - 498*u**3 - 2459*u**2 + 2958*u.
-u*(u - 1)*(u + 6)*(u + 493)
Let -c**5/7 + 187*c**4/7 - 1087*c**3/7 + 157*c**2/7 + 4328*c/7 + 2896/7 = 0. Calculate c.
-1, 4, 181
Solve 24*b**5 + 570*b**4 + 4065*b**3 + 8085*b**2 + 4416*b + 660 = 0 for b.
-11, -10, -2, -1/2, -1/4
Factor -m**3/2 - 42289*m**2/2 + 84584*m - 84586.
-(m - 2)**2*(m + 42293)/2
Solve 2*p**2/9 - 16642*p/9 - 33292/9 = 0 for p.
-2, 8323
Let -3*h**5 + 720*h**4 + 2187*h**3 + 12*h**2 - 2916*h = 0. Calculate h.
-2, 0, 1, 243
What is t in -t**2/4 - 91*t/2 - 1420 = 0?
-142, -40
Solve -33*h**2 + 44580*h + 44613 = 0.
-1, 14871/11
Let 3*m**5/5 + 12*m**4/5 - 2232*m**3/5 + 8598*m**2/5 - 399*m - 12834/5 = 0. Calculate m.
-31, -1, 2, 3, 23
Let t**4/6 - 13*t**3/6 - 10*t**2/3 + 14*t = 0. Calculate t.
-3, 0, 2, 14
Find r such that -98*r**5 - 1190*r**4 - 3154*r**3 + 7094*r**2 + 21684*r - 24336 = 0.
-39/7, -4, 1, 2
Factor -2*l**2/3 - 148*l/3 - 230.
-2*(l + 5)*(l + 69)/3
Find m, given that m**4 + 1436*m**3 + 11423*m**2 - 1436*m - 11424 = 0.
-1428, -8, -1, 1
Factor u**3/3 + 577*u**2 + 35864*u/3 - 26220.
(u - 2)*(u + 23)*(u + 1710)/3
What is a in -3*a**2 + 9333792*a - 7259972758272 = 0?
1555632
Find x, given that -154*x**4/5 + 278*x**3/5 + 32*x**2 - 40*x = 0.
-10/11, 0, 5/7, 2
Let 32*g**5 - 488*g**4 - 4242*g**3 - 21415*g**2/2 - 22175*g/2 - 4125 = 0. Calculate g.
-3, -5/4, 22
Determine y, given that -6*y**5/7 - 256*y**4/7 + 354*y**3/7 + 12*y**2 - 176*y/7 = 0.
-44, -2/3, 0, 1
Let -2*f**5 - 58*f**4 + 126*f**3 + 58*f**2 - 124*f = 0. What is f?
-31, -1, 0, 1, 2
Suppose -i**2/3 + 8600*i - 55470000 = 0. What is i?
12900
Factor 3*n**2 - 68295*n - 683250.
3*(n - 22775)*(n + 10)
Determine i, given that 2*i**5/5 - 28*i**4/5 - 14*i**3 + 16*i**2 + 248*i/5 + 128/5 = 0.
-2, -1, 2, 16
Factor j**4/2 - 53*j**3 - 107*j**2/2.
j**2*(j - 107)*(j + 1)/2
Suppose -3*k**5/8 + 27*k**4/4 + 6033*k**3/2 + 5973*k**2 - 12060*k - 24000 = 0. What is k?
-80, -2, 2, 100
Find b such that 3*b**4/4 - 435*b**3 - 4377*b**2/2 - 3069*b - 5265/4 = 0.
-3, -1, 585
Factor -2*b**3 + 1250*b**2 - 210000*b + 4500000.
-2*(b - 300)**2*(b - 25)
Let -50*j**5 - 7548*j**4 - 178048*j**3 + 8711484*j**2 - 348174*j = 0. What is j?
-87, 0, 1/25, 23
What is o in -o**2/7 + 313*o/7 - 220 = 0?
5, 308
Factor -2*o**2/19 + 592*o/19 + 4242/19.
-2*(o - 303)*(o + 7)/19
Suppose 9*a**5/2 - 3309*a**4/4 - 17415*a**3/4 - 15255*a**2/2 - 5097*a - 1134 = 0. What is a?
-2, -2/3, -1/2, 189
Factor -q**4/4 - 4*q**3 + 75*q**2 - 252*q.
-q*(q - 6)**2*(q + 28)/4
What is k in -5*k**5 + 1225*k**4 - 36765*k**3 + 385115*k**2 - 1424410*k + 1074840 = 0?
1, 6, 13, 212
Factor 3*a**2/4 - 71691*a/4 - 35847/2.
3*(a - 23898)*(a + 1)/4
Find t, given that -75*t**3/8 + 109785*t**2/4 - 159377763*t/8 - 486070209/2 = 0.
-12, 7349/5
Let j**5/8 + 43*j**4 + 2979*j**3/8 - 3015*j**2/2 = 0. What is j?
-335, -12, 0, 3
Suppose -4*b**4 + 372*b**3 - 7976*b**2 - 8352*b = 0. What is b?
-1, 0, 36, 58
Solve -2*a**4/9 - 4616*a**3/9 - 2630906*a**2/9 + 4172892*a - 11981520 = 0 for a.
-1161, 4, 10
Let -4*z**4 - 324*z**3 + 10668*z**2 + 980612*z + 969624 = 0. Calculate z.
-67, -1, 54
Let -j**5/3 + 83*j**4/3 - 439*j**3/3 - 1831*j**2/3 + 4652*j/3 - 2464/3 = 0. What is j?
-4, 1, 8, 77
Factor -2*f**2 + 483308*f - 483306.
-2*(f - 241653)*(f - 1)
Suppose -4*i**3 + 324*i**2 - 3948*i - 114868 = 0. Calculate i.
-13, 47
Determine m, given that -3*m**3 + 153*m**2 - 1440*m - 1596 = 0.
-1, 14, 38
Determine r so that -3*r**2 - 6378*r - 170019 = 0.
-2099, -27
Determine x so that 3*x**4 + 101*x**3 - 36*x**2 - 68*x = 0.
-34, -2/3, 0, 1
Factor n**4 - 140*n**3 + 7318*n**2 - 169260*n + 1461681.
(n - 39)**2*(n - 31)**2
Factor -y**2/2 - 28589*y - 817330921/2.
-(y + 28589)**2/2
Factor x**2/2 + 48579*x.
x*(x + 97158)/2
Solve -y**2/5 - 401*y/5 - 18148/5 = 0 for y.
-349, -52
Factor 3*l**2/2 + 38289*l - 76581/2.
3*(l - 1)*(l + 25527)/2
Solve -15*o**5 + 347*o**4 - 31*o**3 - 347*o**2 + 46*o = 0 for o.
-1, 0, 2/15, 1, 23
Solve -5*v**4/2 - 4095*v**3 - 2223450*v**2 - 393328305*v + 7446111705/2 = 0 for v.
-549, 9
What is g in g**5/6 + 33*g**4/2 + 1553*g**3/3 + 5189*g**2 + 53341*g/6 + 8405/2 = 0?
-41, -15, -1
Solve i**3 + 359*i**2 + 42955*i + 1712997 = 0 for i.
-121, -117
Factor 4*b**2/3 - 719664*b + 97109301168.
4*(b - 269874)**2/3
Factor 2*y**