2
Suppose 2*n**3 + 5822*n**2 - 23312*n + 23320 = 0. Calculate n.
-2915, 2
Let t**3 + 57*t**2 + 44*t - 672 = 0. What is t?
-56, -4, 3
Solve -g**2 - 73270*g + 219819 = 0.
-73273, 3
What is l in -5*l**2 - 589440*l - 17371975680 = 0?
-58944
Factor -3*n**3 - 33*n**2 - 12*n + 180.
-3*(n - 2)*(n + 3)*(n + 10)
Determine w, given that -3*w**3 + 327*w**2 - 2445*w + 2121 = 0.
1, 7, 101
Determine i, given that -3*i**2 - 44709*i = 0.
-14903, 0
Let -4*o**2/7 - 1525*o/7 - 381/7 = 0. What is o?
-381, -1/4
Factor 4*y**3/7 - 349164*y**2/7 + 1088556180*y - 1088506300.
4*(y - 43645)**2*(y - 1)/7
Factor -j**2 - 2911*j + 5826.
-(j - 2)*(j + 2913)
Solve -2*p**4/9 + 2*p**3/9 + 98*p**2/3 + 278*p/9 - 572/9 = 0 for p.
-11, -2, 1, 13
Factor 4*n**4 + 540*n**3 - 2856*n**2 - 7840*n.
4*n*(n - 7)*(n + 2)*(n + 140)
Factor -2*j**2/3 - 243856*j - 22299655776.
-2*(j + 182892)**2/3
Factor -5*p**2 + 2145*p + 8660.
-5*(p - 433)*(p + 4)
What is l in 2*l**3/7 - 272*l**2/7 - 834*l/7 = 0?
-3, 0, 139
Factor -2*t**3/7 - 98*t**2 - 55616*t/7 + 557568/7.
-2*(t - 9)*(t + 176)**2/7
Determine i, given that -5*i**2 - 116230*i + 232480 = 0.
-23248, 2
Suppose 3*g**2 - 498*g - 2565 = 0. What is g?
-5, 171
Let 4*o**4/5 - 1112*o**3/5 - 40576*o**2/5 - 147688*o/5 - 108228/5 = 0. Calculate o.
-29, -3, -1, 311
Find i, given that -i**2 + 13550*i - 257089 = 0.
19, 13531
Find a, given that -3*a**3/5 - 666*a**2/5 + 29463*a + 447858/5 = 0.
-358, -3, 139
Determine p so that 9*p**4/4 - 69693*p**3 + 1079405181*p**2/2 - 359747523*p - 719541507/4 = 0.
-1/3, 1, 15487
Find p, given that -161*p**4/2 + 7213*p**3/2 + 4425*p**2 + 646*p - 92 = 0.
-1, -2/7, 2/23, 46
Solve -4*s**3 - 2804*s**2 - 8376*s = 0.
-698, -3, 0
Factor -2*u**2 - 102428*u - 1311436898.
-2*(u + 25607)**2
Solve w**5/10 + 7*w**4/2 - 20*w**3 = 0.
-40, 0, 5
Find z such that 3*z**2 - 5514*z - 556992 = 0.
-96, 1934
Factor -2*s**2 + 1905244*s - 453744337442.
-2*(s - 476311)**2
Let d**3 - 793*d**2 = 0. Calculate d.
0, 793
Factor n**2/3 + 165157*n/3.
n*(n + 165157)/3
Solve -3*a**2/2 - 5253*a/2 + 10530 = 0.
-1755, 4
Factor -a**4 - 90*a**3 - 681*a**2 + 3836*a - 4212.
-(a - 2)**2*(a + 13)*(a + 81)
What is v in -v**2/5 + 57*v/5 + 2790 = 0?
-93, 150
Find r, given that -1762*r**3/3 - 1764*r**2 - 3542*r/3 - 4 = 0.
-2, -1, -3/881
Let 155*j**5 - 6345*j**4 + 3930*j**3 + 74680*j**2 + 4800*j = 0. What is j?
-3, -2/31, 0, 4, 40
Suppose -f**4 + 5*f**3 + 524*f**2 + 3504*f - 4032 = 0. What is f?
-12, 1, 28
Suppose -18*b**3/5 - 556*b**2/5 - 1488*b/5 - 896/5 = 0. Calculate b.
-28, -2, -8/9
Factor u**3 + 157*u**2 - 27041*u + 26883.
(u - 103)*(u - 1)*(u + 261)
Factor -5*o**2 + 951520*o + 951525.
-5*(o - 190305)*(o + 1)
What is i in 10*i**4 - 1716*i**3 + 89592*i**2 - 1278128*i - 525696 = 0?
-2/5, 24, 74
Factor j**2/4 + 49207*j/4 + 49205/2.
(j + 2)*(j + 49205)/4
Factor t**3/4 - 27*t**2/2 - 2551*t/4 - 1785.
(t - 85)*(t + 3)*(t + 28)/4
Solve -3*z**4/5 + 5298*z**3/5 - 2499576*z**2/5 + 27873654*z - 136873989/5 = 0.
1, 63, 851
Solve -2*h**3/7 + 12662*h**2/7 = 0.
0, 6331
Factor 10*m**5/11 + 64*m**4/11 + 96*m**3/11.
2*m**3*(m + 4)*(5*m + 12)/11
Solve 3*s**4 - 12*s**3 - 357*s**2 - 882*s = 0 for s.
-7, -3, 0, 14
Let -2*k**4 + 5048*k**3/7 - 32610*k**2/7 + 14832*k/7 + 12744/7 = 0. What is k?
-3/7, 1, 6, 354
Suppose 248*c**5 + 4964*c**4 - 664*c**3 - 15388*c**2 - 10168*c - 160 = 0. What is c?
-20, -1, -1/62, 2
Solve 866*c**5/7 - 5188*c**4/7 + 11210*c**3/7 - 10288*c**2/7 + 3368*c/7 + 32/7 = 0 for c.
-4/433, 1, 2
Factor -2*c**2/3 + 52100*c/3.
-2*c*(c - 26050)/3
Find w, given that -3*w**4/4 - 4977*w**3/4 - 9945*w**2/4 - 4971*w/4 = 0.
-1657, -1, 0
Determine j so that -4*j**4/5 - 1012*j**3/5 + 1032*j**2 = 0.
-258, 0, 5
Factor -r**3 + 90*r**2 - 83*r - 534.
-(r - 89)*(r - 3)*(r + 2)
Determine l, given that l**3/3 - 1034*l**2/3 - 205216*l/3 - 9370240/3 = 0.
-88, 1210
Let -g**2 - 36158*g - 326850241 = 0. What is g?
-18079
Factor -g**2 - 126*g - 3968.
-(g + 62)*(g + 64)
Determine g so that -g**5/7 + 4*g**4/7 + 2118*g**3/7 - 4240*g**2/7 - 14813*g/7 - 8460/7 = 0.
-45, -1, 4, 47
Determine c, given that 2*c**2/15 + 642*c/5 - 5832/5 = 0.
-972, 9
Factor -x**2/2 + 346351*x - 119959015201/2.
-(x - 346351)**2/2
Factor -4*z**3 + 160*z**2 + 2948*z - 76704.
-4*(z - 47)*(z - 17)*(z + 24)
Determine h, given that h**4 + 29*h**3 - 182*h**2 - 372*h + 1224 = 0.
-34, -3, 2, 6
Factor -51*b**2 + 822843*b - 145206.
-3*(b - 16134)*(17*b - 3)
Factor 375*o**5 - 15450*o**4 + 18180*o**3 - 7224*o**2 + 960*o.
3*o*(o - 40)*(5*o - 2)**3
Solve -15*k**3 - 2619*k**2 + 6360*k - 2124 = 0 for k.
-177, 2/5, 2
Solve -2*c**5/3 + 10588*c**4/3 - 14066042*c**3/3 + 139782952*c**2/3 - 237410120*c/3 + 111682624/3 = 0.
1, 8, 2642
Factor w**4/8 + 1901*w**3/4 - 176479*w**2/8 + 254449*w.
w*(w - 23)**2*(w + 3848)/8
Factor -2500*i**5 + 474600*i**4 - 22486516*i**3 - 3606960*i**2 - 144400*i.
-4*i*(i - 95)**2*(25*i + 2)**2
Let b**3/3 - 17329*b**2/3 + 25027408*b - 25021632 = 0. What is b?
1, 8664
Find n such that 4*n**5/5 + 432*n**4/5 + 4052*n**3/5 + 13096*n**2/5 + 15744*n/5 + 6272/5 = 0.
-98, -4, -1
Factor 4*c**4 - 752*c**3 + 1488*c**2.
4*c**2*(c - 186)*(c - 2)
Factor -2*c**3 - 10638*c**2 - 63742*c + 74382.
-2*(c - 1)*(c + 7)*(c + 5313)
Find o, given that 5*o**4/2 - 2045*o**3/2 - 909330*o**2 - 124272890*o + 125183240 = 0.
-238, 1, 884
Factor 62*i**3 + 72032*i**2 - 13944*i.
2*i*(i + 1162)*(31*i - 6)
Factor 4*v**3 - 336*v**2 + 624*v + 2624.
4*(v - 82)*(v - 4)*(v + 2)
Factor -4*b**3 - 342316*b**2 + 4*b + 342316.
-4*(b - 1)*(b + 1)*(b + 85579)
Factor -6348*q**4 + 13340*q**3 - 22957*q**2/3 + 2030*q/3 - 49/3.
-(q - 1)**2*(138*q - 7)**2/3
Let g**3/3 - 883*g**2/3 - 9860*g/3 + 7748 = 0. What is g?
-13, 2, 894
Factor 3*h**4 - 8430*h**3 + 208875*h**2.
3*h**2*(h - 2785)*(h - 25)
Factor z**2/2 + 283*z + 1124.
(z + 4)*(z + 562)/2
Suppose d**3/3 + 152*d**2/3 + 721*d/3 - 686 = 0. Calculate d.
-147, -7, 2
Determine i so that 4*i**5 + 1012*i**4 - 4140*i**3 - 7156*i**2 + 10280*i = 0.
-257, -2, 0, 1, 5
Solve 2*i**5/17 + 16*i**4/17 + 26*i**3/17 - 60*i**2/17 - 144*i/17 = 0 for i.
-4, -3, 0, 2
Determine a so that 4*a**4/3 + 2824*a**3/3 + 162292*a**2/3 - 39552944*a + 2354016432 = 0.
-447, 94
Factor 25*l**4 - 246970*l**3 - 296388*l**2 - 592792*l/5 - 15808.
(l - 9880)*(5*l + 2)**3/5
Determine n so that 41*n**5 + 294*n**4 + 8*n**3 - 294*n**2 - 49*n = 0.
-7, -1, -7/41, 0, 1
Determine b, given that -6*b**3/5 - 92144*b**2/5 + 245766*b/5 + 18432 = 0.
-15360, -1/3, 3
Find z such that 2*z**2/3 + 156*z - 1458 = 0.
-243, 9
Let n**4/8 - 69*n**3/4 + 612*n**2 - 1156*n = 0. Calculate n.
0, 2, 68
Solve -15*a**3/7 + 60372*a**2/7 - 60710067*a/7 - 72939042/7 = 0.
-6/5, 2013
Factor -g**3/2 + 159278*g**2 + 1911363*g/2 + 1433529.
-(g - 318562)*(g + 3)**2/2
Factor 5*r**4/3 - 25*r**3 + 355*r**2/3 - 175*r.
5*r*(r - 7)*(r - 5)*(r - 3)/3
Find h, given that -h**5/4 - 185*h**4/4 + 349*h**3 + 2519*h**2 + 4428*h + 2304 = 0.
-192, -2, -1, 12
Let f**3/4 + 169*f**2/2 + 5457*f/4 = 0. What is f?
-321, -17, 0
Factor 2*m**4/11 + 155626*m**3/11 - 14148*m**2.
2*m**2*(m - 1)*(m + 77814)/11
What is s in 4*s**3 + 52*s**2 - 400*s - 5200 = 0?
-13, -10, 10
Find v such that -3*v**2 - 177417*v + 177420 = 0.
-59140, 1
Let 8*c**3/5 - 97352*c**2/5 + 97346*c/5 - 24336/5 = 0. Calculate c.
1/2, 12168
What is s in 10*s**2/17 + 474624*s/17 + 189848/17 = 0?
-47462, -2/5
Solve -60*z**5 + 1407*z**4 - 9603*z**3 + 28650*z**2 - 39588*z + 20808 = 0 for z.
2, 3, 289/20
Factor 4*a**4 - 28*a**3 - 212*a**2 + 1260*a.
4*a*(a - 9)*(a - 5)*(a + 7)
Factor 5*j**4 + 210*j**3 + 1735*j**2 - 1950*j.
5*j*(j - 1)*(j + 13)*(j + 30)
Factor -3*m**3 + 30821*m**2 + 226175*m + 71967.
-(m - 10281)*(m + 7)*(3*m + 1)
What is z in -4*z**2 - 41928*z = 0?
-10482, 0
Determine y so that -y**5 - 28*y**4 + 754*y**2 + 625*y - 1350 = 0.
-27, -5, -2, 1, 5
Solve -4*p**5 + 956*p**4 - 11884*p**3 + 29956*p**2 - 28064*p + 9040 = 0.
1, 10, 226
Determine a so that 17846163*a**2 - 117072*a + 192 = 0.
8/2439
Factor c**3/4 + 20103*c**2 + 1616602845*c/4 + 1616442025/2.
(c + 2)*(c + 40205)**2/4
Solve 2*i**2 - 772*i + 73850 = 0 for i.
175, 211
Suppose -4*g**2 - 1720*g - 20064 = 0. Calculate g.
-418, -12
Factor -4*a**4 - 248*a**3 + 528*a**2 + 992*a - 2048.
-4*(a - 2)**2*(a + 2)*(a + 64)
Factor i**3 - 1119*i**2 + 2235*i - 1117.
(i - 1117)*(i - 1)**2
Find r such that -r**2/4 + 168*r + 673/