2*h**4 + 380*h**3 + 892*h**2 - 360*h = 0. What is h?
-45, -1, 0, 2/5, 1
Factor 2*m**2/11 - 8730*m/11 + 8728/11.
2*(m - 4364)*(m - 1)/11
Factor 3*m**2/7 + 6204*m/7 + 2655.
3*(m + 3)*(m + 2065)/7
Factor o**3/7 + 1000*o**2/7 - 10091*o/7 + 9090/7.
(o - 9)*(o - 1)*(o + 1010)/7
Solve -h**3/2 + 3211*h**2/2 - 2604707*h/2 + 43356953/2 = 0 for h.
17, 1597
Factor r**5/10 + 4*r**4/5 - 19*r**3/10 + r**2.
r**2*(r - 1)**2*(r + 10)/10
Solve 3*f**4 + 699*f**3 - 3834*f**2 - 63456*f - 148512 = 0 for f.
-238, -4, 13
Factor 2*a**4 + 2636*a**3 + 863266*a**2 - 3495368*a.
2*a*(a - 4)*(a + 661)**2
Factor -3*o**2 + 384*o - 5376.
-3*(o - 112)*(o - 16)
Find m such that -2*m**3 + 3534*m**2 + 24812*m + 42576 = 0.
-4, -3, 1774
Factor u**4 - 1877*u**3 + 1173750*u**2 - 244138748*u - 245314376.
(u - 626)**3*(u + 1)
Find t, given that 4*t**4 - 15832*t**3 + 20666832*t**2 - 8600142760*t - 388449258068 = 0.
-41, 1333
Determine i, given that 5*i**5 - 5585*i**4 - 22405*i**3 - 16815*i**2 = 0.
-3, -1, 0, 1121
Find i such that 4*i**4 - 8*i**3 - 244*i**2 - 712*i - 480 = 0.
-4, -3, -1, 10
Suppose 2*c**5 - 26*c**4 - 90*c**3 + 1010*c**2 - 2072*c + 1176 = 0. What is c?
-7, 1, 2, 3, 14
Suppose -h**4/7 + 29*h**3/7 + 394*h**2/7 - 6056*h/7 - 1920 = 0. Calculate h.
-16, -2, 12, 35
Factor -4326*u**3 - 173028*u**2/5 + 96*u/5.
-6*u*(u + 8)*(3605*u - 2)/5
Suppose 4*z**4 + 8*z**3 - 16720*z**2 + 393976*z + 410700 = 0. What is z?
-75, -1, 37
Find t such that 2*t**3/5 + 66162*t**2/5 = 0.
-33081, 0
Find v such that -153615*v**2 + 307221*v/2 + 9/2 = 0.
-3/102410, 1
Factor c**2/2 + 295*c - 2975/2.
(c - 5)*(c + 595)/2
Solve 3*g**2 - 17862*g - 484461 = 0 for g.
-27, 5981
Solve 117*r**5 - 528*r**4 + 708*r**3 - 240*r**2 = 0 for r.
0, 20/39, 2
Factor -i**2/5 - 206*i/5 - 392.
-(i + 10)*(i + 196)/5
Factor -5*i**2 + 4305*i - 17140.
-5*(i - 857)*(i - 4)
Determine a, given that 3*a**3/5 + 3417*a**2/5 - 24048*a/5 + 20628/5 = 0.
-1146, 1, 6
Solve y**2/4 + 39843*y/4 + 19921/2 = 0 for y.
-39842, -1
Factor -4*o**2/7 + 11128*o/7 + 6368.
-4*(o - 2786)*(o + 4)/7
What is d in -3*d**3 + 12906*d**2 - 13880403*d = 0?
0, 2151
Factor k**3/8 - 69*k**2/8 + 163*k/4 - 48.
(k - 64)*(k - 3)*(k - 2)/8
Factor 4*p**2/7 - 2508*p/7.
4*p*(p - 627)/7
Suppose -382*g**3 - 701354*g**2/3 - 35769360*g - 62424 = 0. Calculate g.
-306, -1/573
Factor 3*y**2/2 + 79551*y/2.
3*y*(y + 26517)/2
Determine c so that 3*c**5 + 492*c**4 + 10041*c**3 + 43608*c**2 - 54144*c = 0.
-141, -16, -8, 0, 1
Factor 4*a**3 + 9624*a**2 + 5788836*a.
4*a*(a + 1203)**2
Find b, given that 5*b**5 - 170*b**4 + 275*b**3 + 1450*b**2 - 280*b - 1280 = 0.
-2, -1, 1, 4, 32
Suppose -j**2/3 - 54904*j/3 - 753612304/3 = 0. Calculate j.
-27452
Factor -5*s**3 - 3630*s**2 - 181705*s - 178080.
-5*(s + 1)*(s + 53)*(s + 672)
Factor -3*x**4 - 106101*x**3 + 212211*x**2 - 106107*x.
-3*x*(x - 1)**2*(x + 35369)
Solve 3*n**3 - 453*n**2 + 12525*n - 12075 = 0.
1, 35, 115
Factor -k**2 - 44*k + 357.
-(k - 7)*(k + 51)
Factor -5*r**3 - 90605*r**2 - 410599175*r - 1230982215.
-5*(r + 3)*(r + 9059)**2
Factor b**2/7 - 4564*b - 159765/7.
(b - 31953)*(b + 5)/7
Factor -x**2/4 + 27*x/2 + 8487/4.
-(x - 123)*(x + 69)/4
Suppose -3*u**3/7 + 290832*u**2/7 - 1006694148*u - 84604193424/7 = 0. What is u?
-12, 48478
Factor 44*w**2 - 2644*w + 5112.
4*(w - 2)*(11*w - 639)
Determine b, given that 2*b**3/9 - 30*b**2 - 6032*b/3 + 2610464/9 = 0.
-97, 116
Find w, given that 2*w**3 + 408*w**2 + 5418*w + 18620 = 0.
-190, -7
Solve -4*a**5 - 228*a**4 + 2060*a**3 + 91620*a**2 - 851656*a - 940992 = 0 for a.
-58, -24, -1, 13
Factor 150*d**3 - 5555*d**2.
5*d**2*(30*d - 1111)
Solve -5*c**2 + 5050*c + 188280 = 0 for c.
-36, 1046
Suppose 3*u**2/5 - 416931*u/5 - 416934/5 = 0. What is u?
-1, 138978
Suppose -2*i**3/9 - 2944*i**2/3 - 8830*i/9 = 0. Calculate i.
-4415, -1, 0
Factor v**4 - 92*v**3 + 2598*v**2 - 20124*v - 22815.
(v - 39)**2*(v - 15)*(v + 1)
Suppose -2*v**5 + 2222*v**4/21 - 12976*v**3/21 - 16712*v**2/21 - 1472*v/21 = 0. What is v?
-1, -2/21, 0, 8, 46
Factor -3*t**3 + 996*t**2 - 4917*t + 3924.
-3*(t - 327)*(t - 4)*(t - 1)
Factor -q**3/6 + 1733*q**2/2 + 52081*q/6 + 15627/2.
-(q - 5209)*(q + 1)*(q + 9)/6
Determine i so that 4*i**2 + 6520*i - 98700 = 0.
-1645, 15
Factor 4*w**3 - 7016*w**2 + 3012400*w + 56519712.
4*(w - 886)**2*(w + 18)
Suppose 2*p**2/3 + 3958*p/3 + 7892 = 0. Calculate p.
-1973, -6
Factor 4*g**2 - 1588*g - 12960.
4*(g - 405)*(g + 8)
Let 2*j**5/15 - 56*j**4/15 + 554*j**3/15 - 2228*j**2/15 + 3008*j/15 - 256/3 = 0. Calculate j.
1, 8, 10
Suppose 2*m**2 + 25452*m + 80975538 = 0. Calculate m.
-6363
Let 18*k**2 - 248608*k + 7725742208/9 = 0. Calculate k.
62152/9
Factor f**3/3 + 277*f**2/3 - 55486*f/3 + 55208/3.
(f - 134)*(f - 1)*(f + 412)/3
Suppose -n**4 - 3045*n**3 + 9144*n**2 = 0. What is n?
-3048, 0, 3
Solve -4*b**4 + 4604*b**3 - 27480*b**2 - 128*b + 146560 = 0 for b.
-2, 4, 1145
Let 2*d**5 + 1234*d**4 + 259290*d**3 + 19634886*d**2 + 227376828*d = 0. Calculate d.
-201, -14, 0
Determine o so that o**3/7 + 515351*o**2/7 + 66396405624*o/7 - 66396920976/7 = 0.
-257676, 1
Factor -2*o**3/5 - 548*o**2/5 + 2248*o/5 + 6672/5.
-2*(o - 6)*(o + 2)*(o + 278)/5
Factor -s**2/4 + 2362*s + 18912.
-(s - 9456)*(s + 8)/4
What is p in -3*p**4 + 921*p**3 + 9429*p**2 + 25623*p + 17118 = 0?
-6, -3, -1, 317
Determine u so that u**5 + 84*u**4 + 540*u**3 + 50*u**2 - 2061*u + 1386 = 0.
-77, -6, -3, 1
Solve -722*b**3/9 - 56848*b**2/9 - 41594*b/9 - 2548/3 = 0.
-78, -7/19
Find y, given that y**3/6 - 587*y**2/6 + 35708*y/3 + 748920 = 0.
-45, 316
Factor 5*h**4/4 - 325*h**3/2 + 7770*h**2 - 321715*h/2 + 4812035/4.
5*(h - 37)**3*(h - 19)/4
Determine s, given that 2*s**3 + 675544*s**2 - 1351096*s = 0.
-337774, 0, 2
Let -v**2 - 9296*v = 0. Calculate v.
-9296, 0
Factor 4*h**2/5 + 1496*h/5 + 25632/5.
4*(h + 18)*(h + 356)/5
Factor -s**2 + 446*s - 5629.
-(s - 433)*(s - 13)
What is c in 2*c**5/3 + 2288*c**4/3 + 4570*c**3/3 + 2284*c**2/3 = 0?
-1142, -1, 0
Let 4*a**3 - 271672*a**2 + 543332*a - 271664 = 0. Calculate a.
1, 67916
Let -4*b**5 - 28*b**4 + 220*b**3 + 1900*b**2 + 1944*b - 4032 = 0. What is b?
-7, -6, -3, 1, 8
Factor -3*j**4 + 668562*j**3 - 49665019536*j**2 + 1229921087653566*j - 6148363896347805.
-3*(j - 74283)**3*(j - 5)
Solve -5*g**3 + 2180*g**2 + 2185*g = 0 for g.
-1, 0, 437
Solve w**2 - 73476*w + 1349680644 = 0 for w.
36738
Factor 5*f**2/3 + 15130*f/3 - 188885.
5*(f - 37)*(f + 3063)/3
Determine k so that 3*k**4 - 117*k**3 - 6399*k**2 + 13137*k - 6624 = 0.
-32, 1, 69
Find x such that 14*x**5/15 - 417532*x**4/15 - 536846*x**3/15 - 23860*x**2/3 = 0.
-1, -2/7, 0, 29825
Factor -2*p**2/15 - 1706*p/15 - 2264/5.
-2*(p + 4)*(p + 849)/15
Factor 3*k**2/8 - 19041*k - 1980771/8.
3*(k - 50789)*(k + 13)/8
Solve -3*t**5/5 + 9*t**4/5 + 102*t**3/5 + 144*t**2/5 = 0.
-3, -2, 0, 8
Suppose -u**2/3 - 1921*u/3 - 10160 = 0. What is u?
-1905, -16
Factor 4*k**2 + 700*k + 28024.
4*(k + 62)*(k + 113)
Determine i so that i**5 - 99*i**4 - 324*i**3 + 1840*i**2 - 384*i - 2448 = 0.
-6, -1, 2, 102
Find z such that 3*z**5/4 - 13*z**4/2 + 20*z**3 - 51*z**2/2 + 45*z/4 = 0.
0, 1, 5/3, 3
Find x such that 5*x**5 + 240*x**4 - 23850*x**3 - 1579500*x**2 - 12301875*x + 410062500 = 0.
-45, 12, 75
Factor 2*n**2/9 - 76*n/9 - 830.
2*(n - 83)*(n + 45)/9
Find x, given that 10*x**4/9 + 18086*x**3/9 + 545196*x**2 + 40260480*x - 16191552 = 0.
-1497, -156, 2/5
Factor -r**3/5 - 164*r**2/5 - 1701*r/5 - 2754/5.
-(r + 2)*(r + 9)*(r + 153)/5
Factor k**2/10 - 28*k + 7062/5.
(k - 214)*(k - 66)/10
Factor -5*t**2 + 21280*t + 42580.
-5*(t - 4258)*(t + 2)
Solve -2*k**2/3 - 398*k + 1196/3 = 0.
-598, 1
Solve -5*l**3 - 20*l**2 + 31060*l - 361200 = 0 for l.
-86, 12, 70
What is k in k**5/2 - 142*k**4 + 4609*k**3/2 - 9345*k**2 = 0?
0, 7, 10, 267
Factor -3*n**4 + 22881*n**3 - 43616904*n**2 - 43639788*n.
-3*n*(n - 3814)**2*(n + 1)
Suppose 4*j**5 - 1472*j**4/5 + 21008*j**3/5 - 6040*j**2 + 3164*j/5 + 1496 = 0. Calculate j.
-2/5, 1, 17, 55
Find y such that -2*y**2 + 474*y - 3220 = 0.
7, 230
Let -y**2/2 - 1861*y/2 + 1863 = 0. Calculate y.
-1863, 2
What is y in 3*y**2/8 - 14037*y/4 + 196371/8 = 0?
7, 9351
Let -4*k**4/7 - 64*k**3/7 - 32*k**2 + 256*k/7 + 960/7 = 0. Calculate k.
-10, -6, -2, 2
Factor -3*v**2 + 60183*v + 361206.
-3*(v - 20067)*(v + 6)
Find z, given that -5*z**4 - 40975*z**3 - 83967985*z**2 - 83681225*z + 503562270 = 