?
0, 1, 7, 68
Determine w so that -32*w**5/5 - 532*w**4 - 27948*w**3/5 - 28444*w**2/5 - 3124*w/5 = 0.
-71, -11, -1, -1/8, 0
Determine t, given that -t**3/5 + 17566*t**2/5 - 15421189*t - 61740980 = 0.
-4, 8785
Find d, given that 43*d**4/4 + 517*d**3/2 + 3617*d**2/4 + 1373*d/2 + 30 = 0.
-20, -3, -1, -2/43
Factor t**4 - 310*t**3 + 867*t**2 + 16578*t.
t*(t - 307)*(t - 9)*(t + 6)
Factor 2*w**2/15 - 2162*w/15 + 2872/5.
2*(w - 1077)*(w - 4)/15
Factor 2*u**2/7 - 682*u/7 + 2696/7.
2*(u - 337)*(u - 4)/7
Factor 19*j**3/5 + 231*j**2/5 + 416*j/5 + 12.
(j + 2)*(j + 10)*(19*j + 3)/5
Determine x so that 2*x**2/15 - 38*x/15 - 227672/3 = 0.
-745, 764
Suppose -3*h**5/2 - 117*h**4/2 + 15*h**3 + 585*h**2 - 27*h/2 - 1053/2 = 0. What is h?
-39, -3, -1, 1, 3
Find z, given that -2*z**4/3 + 808*z**3/3 - 27158*z**2/3 = 0.
0, 37, 367
Find k such that 10458756*k**4 - 41838258*k**3 - 209123375*k**2/4 + 16169*k - 5/4 = 0.
-1, 1/6468, 5
Let -2*r**5/7 - 52*r**4/7 + 318*r**3/7 + 208*r**2/7 - 1240*r/7 = 0. Calculate r.
-31, -2, 0, 2, 5
Factor k**3 - 192*k**2 + 7725*k + 148526.
(k - 103)**2*(k + 14)
Find q such that q**5 - 448*q**4 - 4616*q**3 + 16526*q**2 - 17417*q + 5954 = 0.
-13, 1, 458
Determine j so that 2*j**5/21 + 4*j**4 - 788*j**3/21 + 88*j**2/3 + 262*j/7 - 100/3 = 0.
-50, -1, 1, 7
Let 5*k**4/11 - 293*k**3 + 1930*k**2/11 + 1288*k/11 = 0. Calculate k.
-2/5, 0, 1, 644
Determine r, given that 3*r**5 - 87*r**4 + 813*r**3 - 2733*r**2 + 3720*r - 1716 = 0.
1, 2, 11, 13
Solve -4*z**5/3 - 42*z**4 - 394*z**3/3 - 14*z**2 + 398*z/3 + 56 = 0 for z.
-28, -3, -1, -1/2, 1
Factor -2*v**2/9 + 141392*v/9.
-2*v*(v - 70696)/9
Solve i**4/3 + 47*i**3/3 - 1348*i**2/3 + 5440*i/3 = 0.
-68, 0, 5, 16
Factor -2*f**2 - 2620460*f - 858351326450.
-2*(f + 655115)**2
Find s, given that 2*s**2/7 - 2010084*s/7 + 505054710882/7 = 0.
502521
Factor 3*f**2 + 651*f + 6798.
3*(f + 11)*(f + 206)
Find y, given that 18*y**2/7 + 97977*y/7 + 16329/7 = 0.
-5443, -1/6
Factor -b**3 + 11337*b**2 + 22677*b + 11339.
-(b - 11339)*(b + 1)**2
What is h in 2*h**4 + 46*h**3 + 150*h**2 - 46*h - 152 = 0?
-19, -4, -1, 1
Factor 12*h**2/5 - 2416*h/5 + 640.
4*(h - 200)*(3*h - 4)/5
Let -2*w**3/7 + 1110*w**2/7 - 4416*w/7 + 4408/7 = 0. Calculate w.
2, 551
Solve 3*l**3 - 11124*l**2 - 44532*l - 44544 = 0 for l.
-2, 3712
Suppose -2*g**5 - 560*g**4 - 34706*g**3 + 766924*g**2 + 15855016*g - 271054256 = 0. What is g?
-146, -22, 17
Suppose 2*j**2/3 + 1650*j + 24600 = 0. What is j?
-2460, -15
Factor -3*k**3 + 922077*k**2 - 70852627197*k + 70851705123.
-3*(k - 153679)**2*(k - 1)
Factor -r**2/4 - 204031*r/2 - 41628648961/4.
-(r + 204031)**2/4
Suppose 2*r**4/5 - 2936*r**3/5 - 5918*r**2/5 + 11164*r + 11760 = 0. Calculate r.
-5, -1, 4, 1470
Factor 138*l**2 + 1401*l + 3555.
3*(l + 5)*(46*l + 237)
Factor -f**5/10 - f**4/5 + 2*f**3/5 + 4*f**2/5.
-f**2*(f - 2)*(f + 2)**2/10
Suppose 4*b**5 - 860*b**4 + 17544*b**3 - 108880*b**2 + 154400*b = 0. What is b?
0, 2, 10, 193
Factor 3*j**2 - 232716*j + 232713.
3*(j - 77571)*(j - 1)
Find h such that -2*h**2 + 306690*h - 306688 = 0.
1, 153344
Factor 2*h**3/3 - 6*h**2 - 140*h + 3136/3.
2*(h - 16)*(h - 7)*(h + 14)/3
Factor -3*y**2 - 3426*y - 970011.
-3*(y + 519)*(y + 623)
Suppose -5*t**3 - 975*t**2 - 970*t = 0. Calculate t.
-194, -1, 0
Factor -z**4 + 4940*z**3 - 14802*z**2 - 44428*z - 24685.
-(z - 4937)*(z - 5)*(z + 1)**2
Determine d so that 3*d**3 - 1692*d**2 + 19980*d - 59616 = 0.
6, 552
Determine c, given that 2*c**4/7 - 286*c**3/7 + 9308*c**2/7 - 9024*c/7 = 0.
0, 1, 48, 94
Determine g so that g**5 + 79*g**4 + 565*g**3 - 275*g**2 - 4346*g + 3976 = 0.
-71, -7, -4, 1, 2
Determine b so that -4*b**5 + 80*b**4 - 112*b**3 - 2368*b**2 + 512*b + 8192 = 0.
-4, -2, 2, 8, 16
Suppose -2*v**4/17 - 482*v**3/17 - 2348*v**2/17 + 2832*v/17 = 0. Calculate v.
-236, -6, 0, 1
Let -5*z**3 - 2214265*z**2 - 245147367375*z + 245149581645 = 0. What is z?
-221427, 1
Factor -2*h**2/19 + 62*h - 26036/19.
-2*(h - 566)*(h - 23)/19
Factor -2*d**3 + 1024*d**2 - 31850*d - 29152500.
-2*(d - 325)**2*(d + 138)
What is g in -4*g**5 - 25950*g**4 + 38970*g**3 + 233620*g**2 + 103824*g = 0?
-6489, -2, -1/2, 0, 4
Suppose -4*s**3/3 + 24120*s**2 = 0. Calculate s.
0, 18090
Let -k**3/7 + 1586*k**2/7 + 4765*k/7 + 454 = 0. What is k?
-2, -1, 1589
Find g such that -3*g**4/8 + 315*g**3/4 + 1155*g**2 + 4680*g + 5376 = 0.
-8, -4, -2, 224
Factor -x**2/2 + 15366*x - 153635/2.
-(x - 30727)*(x - 5)/2
Suppose c**3 + 2173*c**2 - 8704*c + 8708 = 0. Calculate c.
-2177, 2
Let -k**2 + 1636*k - 30723 = 0. What is k?
19, 1617
Find n such that -3*n**5 + 57*n**4 + 20058*n**3 - 80820*n**2 + 81000*n = 0.
-75, 0, 2, 90
Find b such that -39*b**3 - 401*b**2 - 328*b/3 + 20/3 = 0.
-10, -1/3, 2/39
Factor 3*z**2 - 4929*z + 73260.
3*(z - 1628)*(z - 15)
Solve -2*a**2/7 - 4218628*a/7 - 2224602775298/7 = 0.
-1054657
Find r, given that 2289*r**2/2 - 16029*r + 84 = 0.
4/763, 14
Factor -5*w**2 - 9300*w + 2827580.
-5*(w - 266)*(w + 2126)
Find a such that -16*a**5 - 12*a**4 + 19236*a**3 - 42440*a**2 - 142656*a + 38016 = 0.
-36, -2, 1/4, 4, 33
Determine k so that 5*k**5 - 7155*k**4 + 21435*k**3 - 21425*k**2 + 7140*k = 0.
0, 1, 1428
Let 5*p**2 - 986825*p + 1973630 = 0. What is p?
2, 197363
Let 3*q**2/5 + 125931*q/5 + 503676/5 = 0. Calculate q.
-41973, -4
Let -s**5/7 + 20*s**4/7 + 891*s**3/7 + 6910*s**2/7 + 2200*s = 0. What is s?
-14, -5, 0, 44
Determine n, given that 10*n**5/13 + 684*n**4/13 + 16642*n**3/13 + 167088*n**2/13 + 572056*n/13 + 203136/13 = 0.
-23, -16, -6, -2/5
Factor m**3 - 70*m**2 + 913*m + 10164.
(m - 44)*(m - 33)*(m + 7)
Factor 2*c**2/5 + 146808*c/5 - 146818.
2*(c - 5)*(c + 73409)/5
Suppose 2*n**5/9 - 34*n**4/9 + 206*n**3/9 - 550*n**2/9 + 656*n/9 - 280/9 = 0. What is n?
1, 2, 5, 7
Let a**3/3 - 215*a**2/3 + 3199*a/3 - 995 = 0. Calculate a.
1, 15, 199
Suppose 5*y**3 - 5830*y**2 + 11640*y = 0. What is y?
0, 2, 1164
Factor 4*f**4/5 - 28*f**3 + 1296*f**2/5 - 4672*f/5 + 5888/5.
4*(f - 23)*(f - 4)**3/5
Factor s**2 - 95*s + 1066.
(s - 82)*(s - 13)
Factor -3*d**2 + 5812710*d - 2815633128675.
-3*(d - 968785)**2
Solve 50562*t**4/11 - 557454*t**3/11 + 14000*t**2/11 - 8*t = 0 for t.
0, 2/159, 11
Let 51*d**5 + 948*d**4 + 6507*d**3 + 20238*d**2 + 26976*d + 10080 = 0. What is d?
-7, -4, -3, -10/17
Factor 2*d**4 - 54*d**3 - 132*d**2 + 464*d.
2*d*(d - 29)*(d - 2)*(d + 4)
Let -2*d**2/11 + 783952*d/11 - 76822592288/11 = 0. Calculate d.
195988
Let 3*j**3/2 - 2541*j**2 + 25335*j/2 = 0. Calculate j.
0, 5, 1689
What is h in 11*h**5/3 + 7060*h**4/3 - 8357*h**3/3 + 1286*h**2/3 = 0?
-643, 0, 2/11, 1
Factor 4*f**2/3 + 11116*f/3 - 44528/3.
4*(f - 4)*(f + 2783)/3
Factor -582*w**2/13 + 18628*w/13 - 128/13.
-2*(w - 32)*(291*w - 2)/13
Factor 4*h**2 + 40480*h + 102414400.
4*(h + 5060)**2
Solve -2*d**3/5 - 916*d**2/5 - 5442*d/5 - 8136/5 = 0.
-452, -3
Find i, given that 6*i**4 + 637*i**3 + 724*i**2 - 1157*i - 210 = 0.
-105, -2, -1/6, 1
Suppose 2*l**4/3 - 1834*l**3 - 11022*l**2 - 16542*l = 0. Calculate l.
-3, 0, 2757
Solve 24700*x**4 - 18560*x**3 - 37156*x**2 + 5912*x - 192 = 0 for x.
-1, 3/65, 2/19, 8/5
Suppose -2*c**4/3 + 22*c**3 - 220*c**2 + 1912*c/3 - 560 = 0. Calculate c.
2, 14, 15
Solve -m**4/2 - 53*m**3/2 - 368*m**2 - 1530*m = 0 for m.
-34, -10, -9, 0
Factor -5*k**3 - 4500*k**2 - 44445*k + 48950.
-5*(k - 1)*(k + 11)*(k + 890)
Factor 4*q**3 + 27014*q**2 + 94506*q + 40500.
2*(q + 3)*(q + 6750)*(2*q + 1)
Suppose 9*h**2 + 495398*h + 110088 = 0. What is h?
-55044, -2/9
Suppose 5*o**5 + 3895*o**4 + 861575*o**3 + 40177805*o**2 + 550178440*o + 510858320 = 0. What is o?
-361, -28, -1
Factor 4*z**4 + 32804*z**3 + 654880*z**2 + 3272400*z.
4*z*(z + 10)**2*(z + 8181)
Determine i, given that -2*i**4/7 - 1648*i**3/7 + 845520*i**2/7 - 118705600*i/7 + 5334316000/7 = 0.
-1214, 130
Factor -245*m**2 + 15699355*m - 4485510.
-5*(7*m - 448551)*(7*m - 2)
Factor 25*x**3 + 3385*x**2 + 4700*x + 1340.
5*(x + 1)*(x + 134)*(5*x + 2)
Factor 5*h**4 - 335*h**3 + 6630*h**2 - 43540*h + 37240.
5*(h - 38)*(h - 14)**2*(h - 1)
Determine u so that -2*u**3/7 - 134*u**2/7 - 176*u = 0.
-56, -11, 0
Find r such that -2*r**3 - 5484*r**2 - 5478*r + 10964 = 0.
-2741, -2, 1
Find v such that -243*v**5 - 78516*v**4 - 6385818*v**3 - 7022820*v**2 - 1944075*v = 0.
-161, -5/9, 0
Factor 2*y**3 + 238*y**2 - 984*y.
2*y*(y - 4)*(y + 123)
Solve -3*b**3 + 330*b**2 + 6