
Let -45*u**5 + 20180*u**4 + 72175*u**3 + 65550*u**2 - 4480*u - 18080 = 0. Calculate u.
-2, -1, 4/9, 452
Solve 4*u**3 + 2216*u**2 - 60128*u + 111360 = 0 for u.
-580, 2, 24
Determine c so that c**2/4 + 829*c/4 + 35340 = 0.
-589, -240
Factor -4*x**2 - 2026544*x - 256680036496.
-4*(x + 253318)**2
Factor 2*s**3 + 734*s**2 + 52782*s - 165006.
2*(s - 3)*(s + 103)*(s + 267)
Let 3*z**2 - 990*z + 4875 = 0. Calculate z.
5, 325
Solve -3*t**5/5 + 3*t**4 - 9*t**3/5 - 51*t**2/5 + 84*t/5 - 36/5 = 0.
-2, 1, 2, 3
Solve 3*r**4/4 - 561*r**3/4 + 27501*r**2/4 - 111111*r/4 - 149058 = 0.
-3, 8, 91
Factor 4*x**2 - 1296*x + 6380.
4*(x - 319)*(x - 5)
Factor -l**3 - 53*l**2 + 20400*l + 1571004.
-(l - 151)*(l + 102)**2
Let y**3/4 - 3685*y**2/4 + 3683*y/2 = 0. What is y?
0, 2, 3683
Let 4*k**5 + 344*k**4 + 4484*k**3 - 131456*k**2 + 224400*k + 360000 = 0. What is k?
-50, -1, 3, 12
Find f, given that -8191044*f**3 + 4101246*f**2 - 2863*f + 1/2 = 0.
1/2862, 1/2
What is s in 4*s**3 - 11572*s**2 + 11568*s = 0?
0, 1, 2892
Factor 37940*h**2 + 37936*h - 4.
4*(h + 1)*(9485*h - 1)
Factor 3*h**2/2 + 72804*h + 145605/2.
3*(h + 1)*(h + 48535)/2
Factor -5*t**3 + 60*t**2 - 45*t - 110.
-5*(t - 11)*(t - 2)*(t + 1)
What is a in 2*a**3/5 - 854*a**2/5 + 20320*a - 432000 = 0?
27, 200
Factor -v**3 + 77*v**2 - 354*v - 432.
-(v - 72)*(v - 6)*(v + 1)
Find h, given that -h**3 + 33284*h**2 - 66565*h + 33282 = 0.
1, 33282
Suppose 2*h**3 + 208*h**2 + 4810*h + 8804 = 0. What is h?
-71, -31, -2
Determine m, given that 3*m**2/7 - 15129*m/7 + 90666/7 = 0.
6, 5037
Factor d**3/7 - 617*d**2/7 - 259029*d/7 - 21606507/7.
(d - 923)*(d + 153)**2/7
Find k, given that 2*k**2 - 60076*k + 60074 = 0.
1, 30037
Factor -22*i**2/15 + 10618*i/3 - 9652/15.
-2*(i - 2413)*(11*i - 2)/15
Determine n so that -n**2/4 - 20099*n/4 - 10049/2 = 0.
-20098, -1
Factor 3*p**4 - 591*p**3 - 2397*p**2 - 3009*p - 1206.
3*(p - 201)*(p + 1)**2*(p + 2)
Factor -2*y**2/7 - 3520*y/7 - 140958/7.
-2*(y + 41)*(y + 1719)/7
Factor 15*f**2 + 123235*f + 82150.
5*(f + 8215)*(3*f + 2)
Factor p**5 + 10*p**4 + 30*p**3 + 40*p**2 + 25*p + 6.
(p + 1)**4*(p + 6)
Find u such that 5*u**2 + 237975*u + 237970 = 0.
-47594, -1
Determine k, given that -5*k**5 - 165*k**4 = 0.
-33, 0
Determine q, given that 2*q**4/3 - 881*q**3/3 + 32992*q**2 - 429460*q/3 + 190096/3 = 0.
1/2, 4, 218
Let 3*c**4 - 12*c**3 - 99*c**2 + 432*c - 324 = 0. What is c?
-6, 1, 3, 6
Factor -3*i**3 - 54363*i**2 - 163068*i - 108708.
-3*(i + 1)*(i + 2)*(i + 18118)
Factor x**4/4 - 9583*x**3 + 57495*x**2/2 - 28747*x + 38329/4.
(x - 38329)*(x - 1)**3/4
Determine p, given that 14*p**3/3 + 1942*p**2/3 - 394124*p/3 + 112448/3 = 0.
-251, 2/7, 112
Solve 3*x**3 - 294*x**2 + 8997*x - 87906 = 0 for x.
23, 26, 49
Factor 2*j**2/7 + 99160*j/7 + 1229088200/7.
2*(j + 24790)**2/7
What is f in -2*f**5/7 + 8*f**4/7 + 194*f**3/7 - 800*f**2/7 + 600*f/7 = 0?
-10, 0, 1, 3, 10
Factor 2*f**2/9 - 3216892*f/9 + 1293549267458/9.
2*(f - 804223)**2/9
Find p, given that -55*p**4 - 86095*p**3 - 33491925*p**2 + 157294375*p + 61622500 = 0.
-785, -4/11, 5
Factor 5*p**3 - 8375*p**2 + 8360*p + 16740.
5*(p - 1674)*(p - 2)*(p + 1)
Factor 245*g**4 - 300265*g**3 + 171520*g**2 - 24500*g.
5*g*(g - 1225)*(7*g - 2)**2
Let -4*h**2 - 104068*h - 104064 = 0. What is h?
-26016, -1
Determine w so that -2*w**2/11 + 73332*w/11 - 672197778/11 = 0.
18333
Factor n**4/7 - 758*n**3/7 + 751*n**2/7 + 4542*n/7.
n*(n - 757)*(n - 3)*(n + 2)/7
Factor 4*d**3 - 3868*d**2 - 7752*d.
4*d*(d - 969)*(d + 2)
Factor 2*b**2/7 + 1836*b/7 + 3616.
2*(b + 14)*(b + 904)/7
Factor 22*d**3/7 - 26144*d**2/21 + 863544*d/7 - 104544/7.
2*(d - 198)**2*(33*d - 4)/21
What is p in -2*p**5/7 - 4*p**4/7 + 2858*p**3/7 + 55660*p**2/7 + 38400*p + 216000/7 = 0?
-20, -6, -1, 45
Factor -q**3/3 - 875*q**2/3 - 174848*q/3 - 10141696/3.
-(q + 128)**2*(q + 619)/3
Factor 71874*t**4/5 - 25103628*t**3/5 - 18282528*t**2/5 - 4434176*t/5 - 71680.
2*(t - 350)*(33*t + 8)**3/5
Suppose -5*a**2 - 196665*a = 0. What is a?
-39333, 0
Determine l so that 218*l**2/9 + 896*l - 74/9 = 0.
-37, 1/109
Factor 4*g**2/5 - 6812*g/5 - 41016/5.
4*(g - 1709)*(g + 6)/5
Solve -844*m**2 + 4892*m - 3360 = 0.
168/211, 5
Solve -10*z**4 + 1644*z**3 + 31934*z**2 + 17904*z - 12376 = 0 for z.
-17, -1, 2/5, 182
Factor -3*d**2 - 1743*d - 20484.
-3*(d + 12)*(d + 569)
Let 42*w**5 - 82*w**4 - 5230*w**3 - 10190*w**2 - 3212*w + 1872 = 0. Calculate w.
-9, -4/3, -1, 2/7, 13
Solve c**2/6 + 2315*c + 13889/6 = 0 for c.
-13889, -1
Factor 339*s**2 + 21687*s - 576.
3*(s + 64)*(113*s - 3)
Solve -5*b**3 + 16970*b**2 - 14382060*b - 28832040 = 0.
-2, 1698
Factor -2*b**3/13 + 316*b**2/13 - 1232*b/13.
-2*b*(b - 154)*(b - 4)/13
Factor -3*a**2 - 458016*a - 17481554688.
-3*(a + 76336)**2
Suppose -w**4/4 - 97*w**3/2 - 12333*w**2/4 - 62964*w + 66096 = 0. What is w?
-72, -51, 1
Find j, given that 14*j**3/5 + 3014*j**2 + 6456*j/5 = 0.
-1076, -3/7, 0
What is a in 2*a**2/7 - 35988*a/7 + 161892018/7 = 0?
8997
Find k such that 3*k**3 - 11457*k**2 + 68661*k - 102951 = 0.
3, 3813
Factor -4*t**4 - 3632*t**3 + 40436*t**2.
-4*t**2*(t - 11)*(t + 919)
Factor -4*h**3/7 - 980624*h**2/7 - 60101464336*h/7.
-4*h*(h + 122578)**2/7
Factor -4*c**2 + 1944*c - 59796.
-4*(c - 453)*(c - 33)
Solve f**4/8 - 23*f**3/8 - 261*f**2/4 - 236*f + 304 = 0.
-8, 1, 38
Find c such that -18*c**5/11 + 960*c**4/11 - 2850*c**3/11 - 7740*c**2/11 + 11688*c/11 + 15600/11 = 0.
-2, -1, 2, 13/3, 50
Solve -2*k**5/11 + 12*k**4/11 + 256*k**3/11 - 1332*k**2/11 - 254*k/11 + 120 = 0.
-11, -1, 1, 5, 12
Factor -3*g**3/4 - 795189*g**2/4 - 52694193069*g/4 - 52693397883/4.
-3*(g + 1)*(g + 132531)**2/4
Suppose 9*x**5 + 5403*x**4 + 158215*x**3 - 1274867*x**2 + 796372*x - 129732 = 0. What is x?
-569, -38, 1/3, 6
Factor -3*d**3 - 127596*d**2 - 1356855855*d - 2713201350.
-3*(d + 2)*(d + 21265)**2
Find f such that 2*f**2 - 4273264*f + 2282598151712 = 0.
1068316
Let d**2 - 196*d + 9603 = 0. What is d?
97, 99
Factor d**4 + 6196*d**3 + 270688*d**2.
d**2*(d + 44)*(d + 6152)
Determine q, given that -8*q**4 - 11074*q**3 - 24858*q**2 + 24876*q = 0.
-1382, -3, 0, 3/4
Factor 38*v**2/9 + 270232*v/3 + 85336/9.
2*(v + 21334)*(19*v + 2)/9
Factor -o**3 - 209*o**2/6 - 1009*o/6 + 29.
-(o + 6)*(o + 29)*(6*o - 1)/6
Determine d so that -25*d**3/7 - 5045*d**2/7 - 35997*d + 257049/7 = 0.
-507/5, 1
Factor -f**2/9 + 1676*f/3 - 85187/9.
-(f - 5011)*(f - 17)/9
Determine d so that 5*d**2 + 285*d - 2970 = 0.
-66, 9
Suppose v**4/3 + 37*v**3 + 864*v**2 + 9068*v/3 + 2880 = 0. Calculate v.
-80, -27, -2
Let 9*l**4/8 + 325*l**3/8 - 171*l**2 + 321*l/2 + 20 = 0. What is l?
-40, -1/9, 2
Let -h**4/4 + 131*h**3/4 - 912*h**2 - 10745*h - 9800 = 0. Calculate h.
-8, -1, 70
Factor 46*w**3/5 + 522*w**2/5.
2*w**2*(23*w + 261)/5
Factor 5*o**2 + 2605*o - 247230.
5*(o - 82)*(o + 603)
Factor -h**2 - 2251*h.
-h*(h + 2251)
Determine j so that -2*j**4/15 + 566*j**3/15 - 446*j**2/3 - 566*j/15 + 744/5 = 0.
-1, 1, 4, 279
Solve -n**3 - 142*n**2 - 4819*n - 9078 = 0 for n.
-89, -51, -2
Determine x so that -x**3/4 - 4153*x**2/2 + 8309*x/4 + 8307/2 = 0.
-8307, -1, 2
Find m such that 5*m**2 - 1900*m - 1905 = 0.
-1, 381
Let -2*i**3 - 2012*i**2 - 21938*i - 47760 = 0. What is i?
-995, -8, -3
Find u such that u**3/6 + 613*u**2/3 + 2446*u/3 + 2444/3 = 0.
-1222, -2
Solve -3496900*p**3 + 13995080*p**2 - 29924*p + 16 = 0 for p.
1/935, 4
Solve 3*k**3/4 + 2025*k**2/2 + 4041*k/4 - 4047/2 = 0 for k.
-1349, -2, 1
Suppose q**3/6 + 202*q**2/3 - 36079*q/6 - 36883/3 = 0. What is q?
-479, -2, 77
Factor -2*u**2/7 - 284652*u/7.
-2*u*(u + 142326)/7
Suppose -2*v**3 + 238*v**2 - 1552*v - 1792 = 0. What is v?
-1, 8, 112
Factor i**2/5 - 5306*i/5 - 31872/5.
(i - 5312)*(i + 6)/5
What is g in 2*g**2/11 - 166030*g/11 + 332052/11 = 0?
2, 83013
Suppose -25*o**3 - 430*o**2 - 1420*o - 1320 = 0. Calculate o.
-66/5, -2
Suppose 2*f**3/19 - 29308*f**2/19 + 234368*f/19 - 468672/19 = 0. What is f?
4, 14646
Solve 3*s**4 - 447*s**3 + 10164*s**2 = 0 for s.
0, 28, 121
Find f, given that -f**4/5 + 11*f**2/5 - 18*f/5 + 8/5 = 0.
-4, 1, 2
Let 729*z**3/4 + 735*z**2 + 2283*z/4 + 18 = 0. Calculate z.
-3, -1, -8/243
Suppose -2*f**2 + 2678*f + 124560 = 0. What is f?
-45, 1384
Find w such that 179*w**3 + 15126*w**2 + 323316*w + 158760 = 0.
-42, -90/179
Factor f**4 - 136*f**3 + 3858*f**2 - 7312*f + 3589.
(f - 97)*(f - 37)*(f - 1)**2
Supp