112*l**3/5 - 16709*l**2/10 + 41503*l.
-l*(l - 77)**2*(l - 70)/10
Factor 16*t**4 + 22784*t**3 + 22772*t**2 + 5692*t.
4*t*(t + 1423)*(2*t + 1)**2
Factor 64*l**4 - 24368*l**3 + 18225*l**2 + 5699*l + 380.
(l - 380)*(l - 1)*(8*l + 1)**2
Factor -2*u**3/9 - 658*u**2 - 3946*u/3 - 5918/9.
-2*(u + 1)**2*(u + 2959)/9
Determine f, given that -12*f**4/7 + 400*f**3/7 - 2480*f**2/7 + 5120*f/7 - 3328/7 = 0.
4/3, 2, 4, 26
Solve -d**2/4 + 41*d - 795/4 = 0.
5, 159
Factor 3*n**2/4 - 687*n/2 - 68400.
3*(n - 608)*(n + 150)/4
Let 4102*f**2/3 + 12302*f - 36 = 0. What is f?
-9, 6/2051
Factor 5*i**3 + 6805*i**2 + 2332320*i + 11492100.
5*(i + 5)*(i + 678)**2
Determine d, given that 3*d**3/5 + 1521*d**2/5 - 1524*d/5 = 0.
-508, 0, 1
Solve 44*h**5/5 + 49*h**4/5 - 523*h**3/5 + 116*h**2/5 + 724*h/5 + 16 = 0 for h.
-4, -1, -5/44, 2
Factor -40*u**2 + 507365*u - 570735.
-5*(u - 12683)*(8*u - 9)
Factor -5*j**2 - 4995885*j - 4995880.
-5*(j + 1)*(j + 999176)
Factor -n**4/2 - 161*n**3 - 33761*n**2/2 - 579670*n.
-n*(n + 91)**2*(n + 140)/2
Factor -4*j**3 + 7776*j**2 + 70276*j + 62496.
-4*(j - 1953)*(j + 1)*(j + 8)
Determine p, given that -4*p**5 - 58*p**4 + 631*p**3/4 + 892*p**2 - 1500*p + 576 = 0.
-16, -4, 3/4, 4
Find j, given that -2*j**2/9 + 14618*j/9 + 14624/3 = 0.
-3, 7312
Factor -12*p**2/11 + 406*p/11 - 274.
-2*(p - 11)*(6*p - 137)/11
Let 21*j**4/5 - 34*j**3/5 - 2419*j**2 - 4592*j/5 + 460 = 0. Calculate j.
-23, -2/3, 2/7, 25
Factor -c**2/4 + 109965*c/2 - 12092301225/4.
-(c - 109965)**2/4
Suppose 5*s**4/4 - 35*s**3 - 3505*s**2/4 - 3540*s - 2700 = 0. What is s?
-12, -4, -1, 45
Factor -v**2/5 - 92*v + 940.
-(v - 10)*(v + 470)/5
Solve -7*z**2/4 - 83*z/2 - 130 = 0 for z.
-20, -26/7
Determine r so that -r**3 + 3107*r**2 - 89262*r = 0.
0, 29, 3078
Factor -5732*p**2/5 - 22924*p/5 + 16/5.
-4*(p + 4)*(1433*p - 1)/5
Factor 537*o**5 + 7548*o**4 + 420*o**3.
3*o**3*(o + 14)*(179*o + 10)
Factor 2*w**2 - 1072*w + 4256.
2*(w - 532)*(w - 4)
Find o, given that 4*o**3 + 579884*o**2 = 0.
-144971, 0
Suppose -m**5/2 - 12*m**4 + 29983*m**3/2 + 1170647*m**2 + 4502346*m + 4442212 = 0. What is m?
-107, -2, 194
Factor -2*b**2/5 + 1468*b/5 + 1512894/5.
-2*(b - 1311)*(b + 577)/5
Factor 5*u**4 - 50*u**3 - 1215*u**2 - 2800*u + 10780.
5*(u - 22)*(u - 2)*(u + 7)**2
Solve f**5 + 10*f**4 - 304*f**3 + 1646*f**2 - 3153*f + 1800 = 0 for f.
-25, 1, 3, 8
Solve -5*w**2 + 9605*w + 48150 = 0.
-5, 1926
Factor -2*x**4 + 248*x**3 - 9804*x**2 + 158840*x - 919106.
-2*(x - 67)*(x - 19)**3
Find t, given that 19*t**4/3 + 17*t**3/3 - 7*t**2 - 17*t/3 + 2/3 = 0.
-1, 2/19, 1
Suppose v**4/5 + 303*v**3/5 + 25913*v**2/5 + 448521*v/5 + 437382 = 0. Calculate v.
-141, -11, -10
Factor 240470*t**2/3 - 160315*t + 10/3.
5*(t - 2)*(48094*t - 1)/3
Factor -5*j**2 + 1430*j + 28975.
-5*(j - 305)*(j + 19)
What is h in 3*h**4 - 2727*h**3 - 36*h**2 + 32772*h - 43632 = 0?
-4, 2, 909
Let 3*g**5 - 69*g**4 + 333*g**3 - 459*g**2 = 0. What is g?
0, 3, 17
Factor 2*a**4 - 2248*a**3 + 636166*a**2 - 2515520*a + 1881600.
2*(a - 560)**2*(a - 3)*(a - 1)
Find o such that -2*o**5 + 8*o**4 + 424*o**3 + 572*o**2 - 4742*o + 3740 = 0.
-11, -5, 1, 2, 17
Factor -322115*j**3 + 644265*j**2 - 322185*j + 35.
-5*(j - 1)**2*(64423*j - 7)
Factor -k**4 - 533*k**3 + 1606*k**2 - 1072*k.
-k*(k - 2)*(k - 1)*(k + 536)
Find b, given that -3275*b**3/3 - 13096*b**2/3 - 13084*b/3 + 16/3 = 0.
-2, 4/3275
Solve -k**2 + 1075440*k - 289142798400 = 0.
537720
Suppose 2*z**4 + 1263232*z**3 + 199471912176*z**2 + 797872489984*z + 797867437088 = 0. Calculate z.
-315806, -2
Solve 4*k**5 + 65*k**4 + 313*k**3 + 260*k**2 - 1316*k - 2080 = 0 for k.
-8, -5, -13/4, -2, 2
Factor 4*v**3 + 5856*v**2 + 218196*v + 2059144.
4*(v + 19)**2*(v + 1426)
Let n**4 - 207*n**3 + 1191*n**2 + 3007*n + 1608 = 0. What is n?
-1, 8, 201
Factor -6*u**4/7 + 1824*u**3/7 - 112884*u**2/7 - 3912480*u/7 - 27606150/7.
-6*(u - 165)**2*(u + 13)**2/7
Suppose -3*k**2/7 + 7561920*k/7 - 4765219507200/7 = 0. Calculate k.
1260320
Factor -w**2/4 - 103361*w/2 - 10683496321/4.
-(w + 103361)**2/4
Determine d, given that -21*d**4/2 + 39*d**3 + 921*d**2/2 - 849*d + 360 = 0.
-6, 5/7, 1, 8
Let 6*g**5 + 237*g**4 + 1083*g**3 - 7383*g**2 - 21753*g - 8910 = 0. What is g?
-33, -9, -2, -1/2, 5
Find h such that -5*h**5 + 2725*h**4 - 380435*h**3 + 2425255*h**2 + 14353840*h + 15919420 = 0.
-2, 11, 269
Factor 4*n**2 - 298824*n + 5580986436.
4*(n - 37353)**2
Factor m**5 - 2*m**4 - 7*m**3 - 4*m**2.
m**2*(m - 4)*(m + 1)**2
Factor -240188004*n**3 - 720440028*n**2 + 371936*n - 48.
-4*(n + 3)*(7749*n - 2)**2
Solve 2*p**4/17 - 2398*p**3/17 + 707868*p**2/17 + 6590848*p/17 - 7296320/17 = 0 for p.
-10, 1, 604
Let -3*n**3 + 627*n**2 + 18066*n + 62040 = 0. What is n?
-22, -4, 235
Suppose -2*x**3/19 - 47284*x**2/19 + 94574*x/19 - 47288/19 = 0. Calculate x.
-23644, 1
Determine m, given that -m**5/8 - 25*m**4/8 - 93*m**3/4 - 89*m**2/2 + 11*m + 60 = 0.
-12, -10, -2, 1
Solve -2*w**2/5 - 4*w/5 + 78 = 0.
-15, 13
Determine d so that -3*d**5 - 384*d**4 - 3072*d**3 + 54294*d**2 - 111165*d - 168150 = 0.
-118, -19, -1, 5
Factor -2*c**2 - 893188*c - 99723100418.
-2*(c + 223297)**2
Factor -2*j**2/9 - 148*j - 163978/9.
-2*(j + 163)*(j + 503)/9
Factor 2*v**2/7 + 550*v/7 + 29492/7.
2*(v + 73)*(v + 202)/7
Factor 3*z**4/5 + 5367*z**3/5 - 21504*z**2/5 + 21516*z/5.
3*z*(z - 2)**2*(z + 1793)/5
Suppose -175*f**2 + 235*f + 870 = 0. Calculate f.
-58/35, 3
Factor -2*p**3 - 9014*p**2 + 27056*p - 18040.
-2*(p - 2)*(p - 1)*(p + 4510)
Determine j, given that -12*j**5/5 + 538*j**4/5 - 4866*j**3/5 - 9718*j**2/5 + 31998*j/5 + 1116 = 0.
-3, -1/6, 2, 15, 31
Factor 27*z**3 + 4803*z**2 - 534*z.
3*z*(z + 178)*(9*z - 1)
Determine h so that h**5/4 + 35*h**4/4 - 751*h**3/4 - 35*h**2/4 + 375*h/2 = 0.
-50, -1, 0, 1, 15
Factor 12*y**2/11 + 7570*y/11 + 7558/11.
2*(y + 1)*(6*y + 3779)/11
Factor 4*w**2 - 1868*w - 9440.
4*(w - 472)*(w + 5)
Find x such that -x**2 + 5748*x + 34524 = 0.
-6, 5754
Solve 30*p**4 + 246415*p**3 - 41105*p**2 - 287490*p = 0 for p.
-8214, -1, 0, 7/6
Factor 2*o**2/15 + 76*o/5 - 3584/15.
2*(o - 14)*(o + 128)/15
Solve -32*v**5/9 - 6160*v**4/9 - 92854*v**3/3 - 45278*v**2 - 16836*v = 0 for v.
-122, -69, -3/4, 0
What is w in -2*w**3/11 - 20470*w**2/11 - 52367376*w/11 + 52387848/11 = 0?
-5118, 1
Factor -378*y**2 - 1787*y - 2062.
-(y + 2)*(378*y + 1031)
Factor 341*f**2/7 + 17048*f/7 - 100/7.
(f + 50)*(341*f - 2)/7
What is j in -24*j**5 + 716*j**4 - 5420*j**3/3 - 2540*j**2/3 + 1484*j - 216 = 0?
-1, 1/6, 2/3, 3, 27
Let r**4/9 + 34*r**3/9 + 7*r**2 - 34*r/9 - 64/9 = 0. What is r?
-32, -2, -1, 1
Factor -5*m**4 + 470*m**3 - 880*m**2 - 3680*m.
-5*m*(m - 92)*(m - 4)*(m + 2)
Suppose u**5/4 - 41*u**4/4 - 337*u**3 - 1936*u**2 - 3072*u = 0. What is u?
-16, -4, -3, 0, 64
Let 2*j**5/11 - 2564*j**4/11 - 10276*j**3/11 - 15424*j**2/11 - 10286*j/11 - 2572/11 = 0. What is j?
-1, 1286
What is m in -2*m**3/7 + 736*m**2 + 176902*m/7 + 1508580/7 = 0?
-17, 2610
Factor 2*n**2/13 - 31400*n/13 - 188472/13.
2*(n - 15706)*(n + 6)/13
Factor -w**2/4 - 1238*w - 14847/4.
-(w + 3)*(w + 4949)/4
Solve 27*j**4/7 - 13626*j**3/7 + 9075*j**2/7 - 216*j = 0 for j.
0, 1/3, 504
Find d such that 3*d**3 + 108*d**2 - 1008*d + 2112 = 0.
-44, 4
Suppose y**3/3 + 25504*y**2/3 + 162639005*y/3 + 325176002/3 = 0. What is y?
-12751, -2
Let 5*c**5/4 - 10*c**4 - 25*c**3/2 + 10*c**2 + 45*c/4 = 0. What is c?
-1, 0, 1, 9
Determine i, given that -i**3/8 + 48*i**2 - 10101*i/2 + 82810 = 0.
20, 182
Find u, given that u**5 + 19*u**4 - 65*u**3 - 459*u**2 + 648*u + 3024 = 0.
-21, -3, 4
Suppose -2*g**3/5 - 22*g**2 - 1256*g/5 + 1368/5 = 0. What is g?
-38, -18, 1
Find f such that 5*f**5 - 1130*f**4 - 2305*f**3 + 5670*f**2 + 6840*f = 0.
-3, -1, 0, 2, 228
Factor -469*z**2/5 + 6098*z/5 - 13/5.
-(z - 13)*(469*z - 1)/5
Find o such that o**2/7 - 3959*o/7 - 155922/7 = 0.
-39, 3998
Determine f, given that -f**2 + 81*f - 1634 = 0.
38, 43
What is l in -l**4/5 + 636*l**3/5 - 131286*l**2/5 + 8807516*l/5 + 8939439/5 = 0?
-1, 179, 279
Factor 6*n**3/5 + 36192*n**2/5 - 289974*n/5 - 65232.
6*(n - 9)*(n + 1)*(n + 6040)/5
Solve y**2 + 296*y - 2745 = 0.
-305, 9
Factor -3*w**3 + 3651*w**2 + 14643*w + 10989.
-3*(w - 1221)*(w + 1)*(w + 3)
Let 5*l**4 - 345*l**3 - 16560*l**2 - 28780*l + 126480 = 0. What is l?
-31, -4, 2, 102
Find g, given that -3*g**2/5 + 255582*g/5 - 255579/5 = 0.
1, 85193
