for a.
-140, -105, -1/3
Factor 359*z**4/2 - 1076*z**3 + 2148*z**2 - 1424*z - 8.
(z - 2)**3*(359*z + 2)/2
What is d in -d**5/4 + 135*d**4/4 + 209*d**3/2 - 138*d**2 = 0?
-4, 0, 1, 138
Determine t, given that -3*t**3 + 17556*t**2 - 17547*t - 35106 = 0.
-1, 2, 5851
Solve -2*b**5/7 - 20*b**4/7 + 218*b**3/7 - 340*b**2/7 = 0.
-17, 0, 2, 5
What is n in -5*n**2 + 13625*n - 81570 = 0?
6, 2719
Factor -t**4/3 - 319*t**3/3 + 3*t**2 + 957*t.
-t*(t - 3)*(t + 3)*(t + 319)/3
Let 9*l**5 + 145374*l**4 + 587238234*l**3 + 1565080344*l**2 + 586753725*l - 391233750 = 0. Calculate l.
-8075, -2, -1, 1/3
Determine w so that -2*w**5/15 + 386*w**4/15 + 3218*w**3/5 + 60758*w**2/15 + 33748*w/15 - 34848/5 = 0.
-11, -2, 1, 216
Find n such that 10*n**2 - 9167*n/2 - 5967/2 = 0.
-13/20, 459
What is j in -2*j**5/7 + 586*j**4 - 20474*j**3/7 + 28650*j**2/7 - 12276*j/7 = 0?
0, 1, 3, 2046
Factor 2*t**4 - 6874*t**3 + 7838310*t**2 - 2922511006*t - 48795070432.
2*(t - 1151)**3*(t + 16)
Find o, given that 9*o**4 + 24477*o**3 + 259923*o**2 - 381933*o + 97524 = 0.
-2709, -12, 1/3, 1
Find d such that -4*d**2 - 10376*d = 0.
-2594, 0
What is b in 2*b**3 + 656*b**2 + 10606*b + 9952 = 0?
-311, -16, -1
Factor 3*b**2 + 43926*b + 160791123.
3*(b + 7321)**2
Factor -5*q**3 - 530*q**2 - 4845*q - 4320.
-5*(q + 1)*(q + 9)*(q + 96)
What is a in 3*a**3 - 51*a**2 - 234*a + 1080 = 0?
-6, 3, 20
Factor w**2 - 12083*w + 24162.
(w - 12081)*(w - 2)
Determine a so that 3*a**5 + 333*a**4 + 5724*a**3 + 4740*a**2 - 10800*a = 0.
-90, -20, -2, 0, 1
Suppose -18*a**5/7 - 604*a**4/7 - 7620*a**3/7 - 43416*a**2/7 - 100602*a/7 - 43740/7 = 0. Calculate a.
-9, -6, -5/9
Let 48*n**2 + 3981*n - 4029 = 0. What is n?
-1343/16, 1
Find u such that -2*u**4 + 8*u**3 + 1164*u**2 + 2232*u - 3402 = 0.
-21, -3, 1, 27
Solve 14*k**5/5 - 368*k**4/5 - 10746*k**3/5 - 7372*k**2/5 + 2992*k/5 = 0.
-17, -1, 0, 2/7, 44
Let h**3/7 - 6*h**2/7 - 25*h/7 - 18/7 = 0. What is h?
-2, -1, 9
Let -6*u**4/17 + 424*u**3/17 - 2438*u**2/17 - 7772*u/17 - 2304/17 = 0. What is u?
-2, -1/3, 9, 64
Suppose 167*x**3 - 1117*x**2 - 3370*x - 936 = 0. What is x?
-2, -52/167, 9
Factor 2*m**3 - 406*m**2 - 22498*m - 102090.
2*(m - 249)*(m + 5)*(m + 41)
Let -2*x**2 - 224224*x - 6284550272 = 0. What is x?
-56056
Suppose 2*v**4/13 + 116*v**3/13 + 1026*v**2/13 - 23760*v/13 - 104544/13 = 0. Calculate v.
-33, -4, 12
Factor -t**3/2 - 3*t**2 + 1311*t/2 + 10580.
-(t - 40)*(t + 23)**2/2
Determine v so that -245*v**5/2 - 10003*v**4/2 - 55177*v**3 - 163234*v**2 + 107260*v - 16000 = 0.
-25, -10, -32/5, 2/7
Solve 267*y**3 - 1164*y**2 - 3717*y + 6534 = 0 for y.
-3, 121/89, 6
Factor 2*u**4/7 - 16*u**3 - 474*u**2/7 - 360*u/7.
2*u*(u - 60)*(u + 1)*(u + 3)/7
Factor 2*o**2/7 - 93148*o/7 + 1084568738/7.
2*(o - 23287)**2/7
Factor -z**2 + 255516*z - 16322106564.
-(z - 127758)**2
Factor 130*h**3 + 1225*h**2 + 490*h - 45.
5*(h + 9)*(2*h + 1)*(13*h - 1)
Factor -34*i**4/11 - 1310*i**3/11 + 624*i**2/11.
-2*i**2*(i + 39)*(17*i - 8)/11
Solve 2*f**4/9 - 364*f**3/9 + 5278*f**2/3 + 1800*f = 0.
-1, 0, 75, 108
Solve 27*u**5 + 120*u**4 - 303*u**3 - 264*u**2 + 276*u + 144 = 0.
-6, -1, -4/9, 1, 2
Factor -l**3/6 - 78*l**2 - 17775*l/2 + 56169.
-(l - 6)*(l + 237)**2/6
Factor 2*s**2/3 - 194*s/3 - 5300.
2*(s - 150)*(s + 53)/3
Suppose 5*x**4 - 22950*x**3 + 26518085*x**2 - 419893200*x + 1673718080 = 0. What is x?
8, 2287
Factor -3*b**4 - 441324*b**3 - 16230131418*b**2 + 32461586820*b - 16231014075.
-3*(b - 1)**2*(b + 73555)**2
Factor -2*c**2 + 5148*c + 182630.
-2*(c - 2609)*(c + 35)
Determine k so that 2*k**2 + 1642*k - 111384 = 0.
-884, 63
Factor 8*i**5 - 1680*i**4 + 109386*i**3 - 2067714*i**2.
2*i**2*(i - 33)*(2*i - 177)**2
Factor -66284*y**2 - 132544*y + 48.
-4*(y + 2)*(16571*y - 6)
Determine t so that -t**3/5 + 4483*t**2/5 = 0.
0, 4483
Suppose 5*w**2 - 58590*w + 3439405 = 0. Calculate w.
59, 11659
Let -4*z**3 + 98690*z**2 + 197383*z/4 + 24673/4 = 0. What is z?
-1/4, 24673
Let 5*b**4 + 1910*b**3 - 40305*b**2 - 42210*b = 0. Calculate b.
-402, -1, 0, 21
Factor 2*f**2 + 57468*f + 412821378.
2*(f + 14367)**2
Factor 2*x**3/7 + 60*x**2/7 - 362*x/7 - 60.
2*(x - 6)*(x + 1)*(x + 35)/7
Factor -35*a**2 + 633840*a + 181100.
-5*(a - 18110)*(7*a + 2)
Factor -2*i**2/9 - 4498*i/9 - 4492/3.
-2*(i + 3)*(i + 2246)/9
Determine t so that -2*t**4/13 + 14*t**3/13 + 236*t**2/13 - 656*t/13 - 384 = 0.
-8, -4, 6, 13
Factor i**2 + 3236*i + 32260.
(i + 10)*(i + 3226)
Solve -s**4/2 + s**3 + 23*s**2/2 + 6*s - 18 = 0 for s.
-3, -2, 1, 6
Suppose 2*w**5/7 + 4674*w**4/7 + 27900*w**3/7 - 167752*w**2/7 + 26640*w = 0. Calculate w.
-2331, -10, 0, 2
Suppose 4*h**5 + 88*h**4 - 1772*h**3 + 1680*h**2 = 0. What is h?
-35, 0, 1, 12
Determine d, given that -15*d**5 - 594*d**4 - 1455*d**3 - 432*d**2 + 444*d = 0.
-37, -2, -1, 0, 2/5
Factor -2360890921*o**2/4 + 145767*o/2 - 9/4.
-(48589*o - 3)**2/4
Solve c**4 + 26*c**3 - 1657*c**2 + 11374*c - 9744 = 0.
-58, 1, 7, 24
Find t such that t**5/5 + 247*t**4/5 - 6*t**3/5 - 298*t**2 - 1979*t/5 - 741/5 = 0.
-247, -1, 3
Factor -j**4/6 + 35*j**3/2 - 33*j**2 - 412*j/3.
-j*(j - 103)*(j - 4)*(j + 2)/6
Determine m so that m**4/8 + 1099*m**3/2 + 239871*m**2/4 + 4412287*m/2 + 217048105/8 = 0.
-4285, -37
Factor -z**2/4 - 63*z - 1053.
-(z + 18)*(z + 234)/4
Factor 2*b**3 - 116*b**2 + 110*b + 228.
2*(b - 57)*(b - 2)*(b + 1)
Factor 2*r**3/7 + 18192*r**2/7 + 290688*r/7 + 1162240/7.
2*(r + 8)**2*(r + 9080)/7
Factor -k**3/4 - 2379*k**2/4 + 170205*k/4 - 3000025/4.
-(k - 35)**2*(k + 2449)/4
Factor s**4/2 + 81*s**3 + 4877*s**2/2 - 71370*s + 68850.
(s - 17)*(s - 1)*(s + 90)**2/2
Let 4*n**4/3 - 45030*n**3 + 247628*n**2 - 337670*n/3 = 0. What is n?
0, 1/2, 5, 33767
Factor -3*g**3 - 4797*g**2 - 2038401*g - 95007111.
-3*(g + 53)*(g + 773)**2
What is j in -5*j**4 - 3900*j**3 - 695540*j**2 + 25334400*j - 210990080 = 0?
-406, 16
Let 3*k**2/8 - 29421*k/8 - 3678 = 0. Calculate k.
-1, 9808
Find q, given that -716*q**5/3 - 12886*q**4/9 - 2860*q**3/3 + 12896*q**2/9 + 1192*q - 10/9 = 0.
-5, -1, 1/1074, 1
Factor 4*v**4 + 8192*v**3 + 4186100*v**2 - 8405000*v.
4*v*(v - 2)*(v + 1025)**2
Determine a so that -50*a**5/3 + 63880*a**4/3 - 20454242*a**3/3 + 32515036*a**2/3 + 15462568*a/3 + 1628176/3 = 0.
-1/5, 2, 638
Suppose 44*h**2/3 - 9916*h/3 + 14144 = 0. What is h?
48/11, 221
Factor 2*g**4 - 42*g**3 + 88*g**2 + 360*g.
2*g*(g - 18)*(g - 5)*(g + 2)
Find k such that -2*k**2/3 - 58820*k/3 + 39216 = 0.
-29412, 2
Suppose 18*b**3 - 65188*b**2 + 59071160*b - 91730800 = 0. What is b?
14/9, 1810
Factor -10*i**4/9 - 68*i**3/3 - 120*i**2 - 400*i/9.
-2*i*(i + 10)**2*(5*i + 2)/9
Determine u so that 5*u**3 - 560*u**2 + 20240*u - 232320 = 0.
24, 44
What is j in -6*j**3 + 9831*j**2 - 24546*j + 9816 = 0?
1/2, 2, 1636
Solve -35*m**4 - 8585*m**3 + 41160*m**2 - 22540*m - 10000 = 0 for m.
-250, -2/7, 1, 4
Factor 21*u**2/5 - 4324*u/5 - 412/5.
(u - 206)*(21*u + 2)/5
Solve -4*c**5/5 - 22*c**4/5 + 48*c**3/5 + 198*c**2/5 - 108*c/5 = 0.
-6, -3, 0, 1/2, 3
Factor d**3 - 20*d**2 - 207*d + 486.
(d - 27)*(d - 2)*(d + 9)
Find x such that -3*x**3/8 + 112287*x**2/8 - 1050641385*x/8 - 1050753675/8 = 0.
-1, 18715
Factor 3*i**2/2 + 729*i/2 + 363.
3*(i + 1)*(i + 242)/2
Factor 5*w**2 - 2255*w + 146940.
5*(w - 372)*(w - 79)
Let a**2/4 - 241*a/4 - 9309 = 0. What is a?
-107, 348
Suppose -2*t**3/9 + 5248*t**2/9 - 73178*t/9 + 28420 = 0. What is t?
7, 2610
Suppose 5*y**2 - 128870*y - 2063200 = 0. Calculate y.
-16, 25790
Factor 2*g**3/5 + 18*g**2/5 - 3610*g + 53934/5.
2*(g - 89)*(g - 3)*(g + 101)/5
Let 2*m**2/3 - 2146064*m/3 + 575698836512/3 = 0. What is m?
536516
Determine a, given that -5*a**3 + 47*a**2 + 3132*a - 1260 = 0.
-21, 2/5, 30
Let 5*d**3 + 2040*d**2 - 181935*d + 3696030 = 0. What is d?
-486, 39
Solve 3*g**2 - 303*g + 300 = 0 for g.
1, 100
Factor -5*a**3 - 2810*a**2 - 265575*a + 542430.
-5*(a - 2)*(a + 123)*(a + 441)
Factor -2*j**2/5 + 2788*j + 195552/5.
-2*(j - 6984)*(j + 14)/5
Solve 3*s**5 + 21*s**4 - 90*s**3 + 12*s**2 + 120*s = 0 for s.
-10, -1, 0, 2
Factor -2*o**4 + 2318*o**3 + 16324*o**2.
-2*o**2*(o - 1166)*(o + 7)
Factor -2*q**2/13 + 1308*q/13 - 2608/13.
-2*(q - 652)*(q - 2)/13
Let -3*i**3/2 + 21*i**2/2 + 1050*i + 2046 = 0. What is i?
-22, -2, 31
Solve -t**3 + 27*t**2 - 194*t + 168 = 0.
1, 12, 14
Solve -35*g**5 - 5135*g**4 + 17115*g**3 - 20185*g**2 + 9740*g - 1500 = 0.
-150, 2/7, 1
Find 