-25, -10, 234
Factor -2*k**4 + 378*k**3 - 9690*k**2 - 1632850*k + 81064500.
-2*(k - 85)**3*(k + 66)
Determine f so that 2*f**5 + 406*f**4 - 818*f**3 + 410*f**2 = 0.
-205, 0, 1
Determine g so that -g**2 - 12672*g - 25340 = 0.
-12670, -2
Factor -5*y**4/3 + 3590*y**3 - 5842565*y**2/3 + 15408280*y - 92106320/3.
-5*(y - 1073)**2*(y - 4)**2/3
What is m in -3*m**5 - 7677*m**4 - 4790382*m**3 + 155504982*m**2 - 296608095*m + 145901175 = 0?
-1295, 1, 29
Solve d**3/2 + 414*d**2 - 1675*d/2 - 6225 = 0.
-830, -3, 5
Factor 3*q**2/5 + 591*q/5 + 1836.
3*(q + 17)*(q + 180)/5
Factor -3*c**2 + 1314102*c - 143905338867.
-3*(c - 219017)**2
Find m such that m**5 - 194*m**4 - 57558*m**3 + 11511992*m**2 - 22617259*m - 34186614 = 0.
-242, -1, 3, 217
Factor 3*o**2 - 195*o + 3162.
3*(o - 34)*(o - 31)
Find p such that -4*p**5 + 60*p**4 - 176*p**3 - 64*p**2 + 768*p - 704 = 0.
-2, 2, 11
Factor -3*n**3 + 675*n**2 - 2616*n - 7956.
-3*(n - 221)*(n - 6)*(n + 2)
Find q, given that -2*q**5/13 + 1704*q**4/13 - 27788*q**3 - 727608*q**2/13 - 364658*q/13 = 0.
-1, 0, 427
Suppose 2*f**5/19 - 28*f**4/19 - 8374*f**3/19 + 67664*f**2/19 + 160328*f/19 + 84320/19 = 0. What is f?
-62, -1, 10, 68
Factor -2*w**2/3 + 280420*w/3 + 93474.
-2*(w - 140211)*(w + 1)/3
Determine y so that 3*y**3/2 - 270*y**2 + 2088*y - 4128 = 0.
4, 172
Let -2*v**5 + 5852*v**4 - 4441458*v**3 + 235133360*v**2 - 3228864800*v = 0. What is v?
0, 28, 1435
Find c, given that 5*c**2 + 1470*c - 9000 = 0.
-300, 6
Let -2*z**3/23 - 1716*z**2/23 + 348480*z/23 - 16014592/23 = 0. Calculate z.
-1034, 88
Factor -m**2/4 + 28*m + 980.
-(m - 140)*(m + 28)/4
Factor -2*c**2/11 + 21432*c/11 - 57416328/11.
-2*(c - 5358)**2/11
Factor -8*k**3/11 - 1094*k**2/11 - 1086*k/11.
-2*k*(k + 1)*(4*k + 543)/11
What is i in 2*i**5/9 - 2116*i**4/9 + 12626*i**3/9 - 2056*i**2/9 - 50464*i/9 - 33664/9 = 0?
-1, 4, 1052
Factor 5*q**3/4 + 91*q**2/4 + 103*q/4 + 17/4.
(q + 1)*(q + 17)*(5*q + 1)/4
Find t such that 3*t**5 - 45*t**4 - 72*t**3 + 888*t**2 + 2736*t + 2160 = 0.
-2, 6, 15
Solve w**3/2 - 48749*w**2/2 + 73117*w + 97492 = 0.
-1, 4, 48746
Determine y, given that -2*y**2 - 520*y + 50250 = 0.
-335, 75
Factor 4*y**5 + 44*y**4 - 544*y**3 + 1216*y**2.
4*y**2*(y - 4)**2*(y + 19)
Solve -48*v**2 - 26787*v - 1674 = 0 for v.
-558, -1/16
Factor 2*c**2/13 - 50234*c/13 + 100460/13.
2*(c - 25115)*(c - 2)/13
Solve -5*z**3 - 865*z**2 - 46430*z - 794640 = 0.
-88, -43, -42
Let -u**4/8 + 44731*u**3/2 - 1333938060*u**2 + 26522245562400*u - 106067640672000 = 0. What is u?
4, 59640
Suppose 4*u**5 + 1148*u**4 + 4548*u**3 + 5668*u**2 + 2264*u = 0. What is u?
-283, -2, -1, 0
Let 2*q**5 + 516*q**4 + 1536*q**3 + 1532*q**2 + 510*q = 0. What is q?
-255, -1, 0
Factor 3*m**3 - 2679*m**2 - 18864*m - 32400.
3*(m - 900)*(m + 3)*(m + 4)
What is h in 5*h**5 - 5180*h**4 - 110545*h**3 - 464420*h**2 - 697300*h - 338240 = 0?
-16, -2, -1, 1057
Suppose 4*n**5/3 + 20*n**4/3 - 1196*n**3/3 - 1628*n**2 - 1224*n = 0. What is n?
-18, -3, -1, 0, 17
Determine r, given that 3*r**5 - 2883*r**4 + 688302*r**3 + 2085132*r**2 + 1393944*r = 0.
-2, -1, 0, 482
What is m in -2*m**5 + 45*m**4 + 422*m**3 + 849*m**2 - 234*m - 1080 = 0?
-4, -3, -3/2, 1, 30
Factor -l**3/4 - 83*l**2/4 + 312*l.
-l*(l - 13)*(l + 96)/4
Determine i so that -i**2/2 - 13067*i - 78393/2 = 0.
-26131, -3
Let -2*d**4/3 + 872*d**3/3 - 8820*d**2 - 55544*d/3 - 28210/3 = 0. Calculate d.
-1, 35, 403
Factor -q**4 + 63*q**3 - 506*q**2 + 1080*q.
-q*(q - 54)*(q - 5)*(q - 4)
Determine h, given that 84*h**4 + 172*h**3 + 88*h**2 = 0.
-22/21, -1, 0
Let z**2 + 182*z + 8232 = 0. What is z?
-98, -84
Determine j so that -35*j**3 + 66355*j**2 - 31445160*j - 4493520 = 0.
-1/7, 948
Factor -2*r**2/3 - 18542*r/3 + 18544/3.
-2*(r - 1)*(r + 9272)/3
Solve -3*n**2/2 - 11421*n/2 - 5709 = 0 for n.
-3806, -1
Suppose d**2/2 + 1353*d/2 + 2025 = 0. Calculate d.
-1350, -3
Solve -2*z**5/5 + 1916*z**4 - 11472048*z**3/5 - 1916*z**2 + 2294410*z = 0 for z.
-1, 0, 1, 2395
Solve -2*l**2 - 432*l - 14350 = 0.
-175, -41
Let 3*y**5/2 - 519*y**4/2 + 3387*y**3 - 7440*y**2 - 30528*y = 0. What is y?
-2, 0, 8, 159
Factor -1316*g**2 - 2540*g + 184.
-4*(g + 2)*(329*g - 23)
Solve 4*g**3 - 17812*g**2 - 789536*g - 8706192 = 0 for g.
-22, 4497
Determine q so that 125*q**3 - 5720*q**2 - 33255*q - 7650 = 0.
-5, -6/25, 51
Determine b so that 5*b**2 + 4635*b + 13860 = 0.
-924, -3
What is r in -r**4/11 + 90*r**3/11 + 91*r**2/11 = 0?
-1, 0, 91
Factor 10901*d**2/7 - 5*d/7.
d*(10901*d - 5)/7
Suppose -14*o**3 - 13*o**2 + 390*o - 216 = 0. Calculate o.
-6, 4/7, 9/2
What is w in -w**2/7 - 1283*w/7 + 920 = 0?
-1288, 5
Solve 9*x**5/5 + 1101*x**4/5 + 24594*x**3/5 - 140934*x**2 - 7873371*x/5 - 2545263/5 = 0 for x.
-67, -9, -1/3, 21
Determine n so that -7*n**5/3 + 47*n**4 - 769*n**3/3 - 151*n**2 + 9488*n/3 - 448 = 0.
-3, 1/7, 7, 8
What is s in 4*s**3 + 60*s**2 - 4336*s + 8400 = 0?
-42, 2, 25
Suppose -5*b**5 - 40*b**4 + 965*b**3 + 460*b**2 - 42780*b + 122400 = 0. What is b?
-17, -8, 5, 6
Let 6*q**5/11 - 74*q**4/11 - 300*q**3/11 + 948*q**2/11 - 730*q/11 + 150/11 = 0. What is q?
-5, 1/3, 1, 15
Factor -2*m**4/9 - 430*m**3/9 - 748*m**2 + 395352*m + 21459984.
-2*(m - 91)*(m + 102)**3/9
Factor -1503*u**3 + 48094*u**2 - 384704*u - 512.
-(u - 16)**2*(1503*u + 2)
Factor 4*l**3 + 63040*l**2 - 4*l - 63040.
4*(l - 1)*(l + 1)*(l + 15760)
Find f, given that -f**2/3 - 52*f + 157/3 = 0.
-157, 1
Factor -21*s**2 + 923*s + 44.
-(s - 44)*(21*s + 1)
Suppose -25*i**3 + 6480*i**2 + 5196*i + 1040 = 0. What is i?
-2/5, 260
Factor -b**2 + 386282*b - 37303445881.
-(b - 193141)**2
Find s such that -4*s**2 - 4277570*s - 2138784 = 0.
-1069392, -1/2
Solve -870874436583936*v**4 - 217116723068928*v**3 + 150332859072*v**2 - 34654400*v + 2662 = 0.
-1/4, 11/47748
Solve 4*f**5/3 - 1916*f**4 - 321848*f**3/3 - 103448*f**2 + 321844*f/3 + 105364 = 0 for f.
-53, -1, 1, 1491
Factor 2*x**2 + 4836*x + 2923362.
2*(x + 1209)**2
Factor -y**5 - 189*y**4 - 10947*y**3 - 117451*y**2 + 5063592*y + 32482404.
-(y - 18)*(y + 6)*(y + 67)**3
Solve o**2/3 - 53573*o/3 + 35714 = 0.
2, 53571
Let 5*b**2 - 30875*b - 123580 = 0. Calculate b.
-4, 6179
Suppose -o**3 - 59*o**2 - 952*o - 2352 = 0. Calculate o.
-28, -3
Let -32*z**3/3 + 2440*z**2/3 - 93025*z/6 = 0. What is z?
0, 305/8
Factor 2*b**3/5 + 89036*b**2/5 + 990302616*b/5 - 13881693168/5.
2*(b - 14)*(b + 22266)**2/5
Suppose 2*a**5/13 + 170*a**4/13 + 1948*a**3/13 - 2996*a**2/13 - 11166*a/13 - 6390/13 = 0. What is a?
-71, -15, -1, 3
What is r in 37*r**3/5 - 146*r**2/5 - 452*r/5 - 24/5 = 0?
-2, -2/37, 6
Factor r**2 - 3151*r - 176330.
(r - 3206)*(r + 55)
Factor -x**2/3 + 85304*x - 5457579312.
-(x - 127956)**2/3
What is s in -4*s**5 - 48*s**4 + 28*s**3 + 1512*s**2 + 4752*s + 4320 = 0?
-10, -3, -2, 6
Factor -2*f**4 + 46*f**3 + 52272*f**2 - 5256576*f + 144073728.
-2*(f - 72)**3*(f + 193)
Factor -3*f**2 + 150411*f - 150408.
-3*(f - 50136)*(f - 1)
Find v, given that 6*v**5 + 5839*v**4 + 81607*v**3 + 88241*v**2 + 12467*v = 0.
-959, -13, -1, -1/6, 0
Suppose -3*r**2 - 5632476*r - 2643732157548 = 0. Calculate r.
-938746
Determine j so that 25*j**4 + 12055*j**3 + 14394*j**2 - 17308*j + 3848 = 0.
-481, -2, 2/5
Determine c so that c**4 + 634*c**3 + 1896*c**2 + 1894*c + 631 = 0.
-631, -1
Determine z so that 12*z**4 - 6488*z**3 - 28452*z**2 + 61088*z - 26160 = 0.
-6, 2/3, 1, 545
Factor 3555*i**3 + 21290*i**2 + 31755*i - 360.
5*(i + 3)**2*(711*i - 8)
Find r such that 2*r**3/11 + 287024*r**2/11 + 10297847072*r/11 = 0.
-71756, 0
Find q such that -q**2/3 + 1301*q/9 - 41860/9 = 0.
35, 1196/3
Factor 5*i**3 - 144595*i**2 + 1045313400*i + 1045458000.
5*(i - 14460)**2*(i + 1)
Factor o**2/2 - 495*o/2 - 2012.
(o - 503)*(o + 8)/2
Factor 2*l**3/3 + 64*l**2/3 - 2834*l/3 + 20768/3.
2*(l - 16)*(l - 11)*(l + 59)/3
Suppose v**5 + 131*v**4 + 5118*v**3 + 52084*v**2 + 47096*v = 0. Calculate v.
-58, -14, -1, 0
Let l**3/3 + 262*l**2/3 - 3553*l/3 + 6050/3 = 0. Calculate l.
-275, 2, 11
Find a, given that 5*a**3 + 345*a**2 - 63440*a + 125460 = 0.
-153, 2, 82
Factor 2*h**2 + 608*h - 2464.
2*(h - 4)*(h + 308)
Suppose -15*a**3/4 - 80*a**2 + 15*a/4 + 80 = 0. Calculate a.
-64/3, -1, 1
Find y, given that 4*y**5 - 4340*y**4 + 8664*y**3 + 8*y**2 - 8668*y + 4332 = 0.
-1, 1, 1083
Determine w, given that 26*w**3/11 + 15256*w**2/11 - 222766*w/11 - 21636 = 0.
-601, -1, 198/13
What is 