/4
Factor 5*n**3 + 1430*n**2 + 100855*n + 99430.
5*(n + 1)*(n + 122)*(n + 163)
Suppose w**2 - 1334*w + 313120 = 0. Calculate w.
304, 1030
Factor -a**2 - 5703*a + 85770.
-(a - 15)*(a + 5718)
Find d such that 6*d**3/7 - 3588*d**2/7 - 11142*d/7 + 194724/7 = 0.
-9, 6, 601
Factor 18*p**2/7 + 1048*p/7 + 232/7.
2*(p + 58)*(9*p + 2)/7
Suppose -h**5/6 + 920*h**4/3 - 5756*h**3 - 57329*h**2/3 - 118343*h/6 - 6677 = 0. What is h?
-1, 22, 1821
Let -3*g**5 + 1038*g**4 + 3*g**3 - 1038*g**2 = 0. What is g?
-1, 0, 1, 346
Factor -2*q**2 - 15968*q + 31944.
-2*(q - 2)*(q + 7986)
Factor -o**2/2 - 117317*o - 13763278489/2.
-(o + 117317)**2/2
Let -4*o**3 + 24416*o**2 - 121980*o = 0. What is o?
0, 5, 6099
Solve -18*a**4 - 4080*a**3 + 52498*a**2 - 134640*a - 191200 = 0 for a.
-239, -1, 20/3
Solve -2*b**5 - 892*b**4 - 103818*b**3 - 972280*b**2 - 2376200*b = 0.
-218, -5, 0
Determine l so that -l**4 - 2857*l**3 + 11439*l**2 - 14303*l + 5722 = 0.
-2861, 1, 2
Factor -2*l**3/3 + 747326*l**2/3.
-2*l**2*(l - 373663)/3
Factor -2*z**4/15 - 23478*z**3/5 - 275608242*z**2/5 - 1078455050946*z/5.
-2*z*(z + 11739)**3/15
Suppose -4*j**5/5 - 152*j**4/5 - 96*j**3/5 + 6408*j**2/5 - 3564*j + 11664/5 = 0. Calculate j.
-36, -9, 1, 3
Find d such that 255*d**3 + 16585*d**2 - 16180*d - 660 = 0.
-66, -2/51, 1
Factor -c**3 + 7333*c**2 - 43962*c.
-c*(c - 7327)*(c - 6)
Factor -3*x**2/5 - 366*x/5 + 2709/5.
-3*(x - 7)*(x + 129)/5
Find b, given that -b**3/5 + 3588*b**2/5 - 7172*b/5 = 0.
0, 2, 3586
Factor f**2/4 - 29423*f/4 - 147165/2.
(f - 29433)*(f + 10)/4
Solve 2*p**3 - 260100*p**2 + 8456761344*p - 16912482304 = 0 for p.
2, 65024
Factor 2*s**2/7 - 10392*s/7 + 818560/7.
2*(s - 5116)*(s - 80)/7
Let -2*v**2/3 - 183980*v/3 + 122656 = 0. What is v?
-91992, 2
Factor 2*f**4 - 468*f**3 - 6*f**2 + 1400*f + 936.
2*(f - 234)*(f - 2)*(f + 1)**2
Factor t**3 - 115*t**2 + 114*t.
t*(t - 114)*(t - 1)
Suppose -4*i**3 - 1568*i**2 - 102800*i + 211904 = 0. What is i?
-308, -86, 2
Factor -4*a**3/3 - 1032*a**2 - 199692*a.
-4*a*(a + 387)**2/3
Suppose -4*a**2 + 4*a + 80 = 0. Calculate a.
-4, 5
Determine m so that 2*m**4/7 + 6050*m**3/7 + 4554076*m**2/7 - 32139200*m/7 + 27579072/7 = 0.
-1516, 1, 6
Find o such that o**3/4 - 365*o**2 + 26037*o/4 - 58401/2 = 0.
9, 1442
Suppose -5*p**5 - 20*p**4 + 65*p**3 + 20*p**2 - 60*p = 0. Calculate p.
-6, -1, 0, 1, 2
Let 2*v**2/9 - 74*v/3 + 264 = 0. What is v?
12, 99
Determine a so that 4*a**4 + 820*a**3 + 7928*a**2 + 25088*a + 24960 = 0.
-195, -4, -2
Factor -2*t**2/7 + 87600*t/7 - 959220000/7.
-2*(t - 21900)**2/7
Solve f**4/4 - 253*f**3 - 1521*f**2/2 - 761*f - 1015/4 = 0 for f.
-1, 1015
Suppose 3*r**4 + 1326*r**3 + 21723*r**2 + 20400*r = 0. What is r?
-425, -16, -1, 0
Determine g, given that -4*g**2 - 1800*g - 3584 = 0.
-448, -2
Determine x, given that -5*x**3 + 10*x**2 + 355*x - 360 = 0.
-8, 1, 9
Factor -m**4 - 371*m**3 + 43263*m**2 - 1499553*m + 16890390.
-(m - 33)**3*(m + 470)
Factor 2*i**4 - 338*i**3 - 2434*i**2 - 5262*i - 3168.
2*(i - 176)*(i + 1)*(i + 3)**2
Determine t so that 3*t**4/7 - 1892*t**3/7 + 336159*t**2/7 - 1650762*t + 7554712/7 = 0.
2/3, 44, 293
What is p in 2*p**4 + 122*p**3 + 348*p**2 - 8*p - 464 = 0?
-58, -2, 1
What is c in -c**2 + 1880*c = 0?
0, 1880
Factor -p**3 + 12093*p**2/4 + 2268*p.
-p*(p - 3024)*(4*p + 3)/4
Suppose -m**5 - 198*m**4 - 1850*m**3 + 40880*m**2 + 403611*m - 442442 = 0. Calculate m.
-187, -13, 1, 14
Factor 2*q**2/13 + 15008*q/13.
2*q*(q + 7504)/13
Factor 3*x**2 + 2038434*x + 346267764363.
3*(x + 339739)**2
Factor -p**3/7 - 3149*p**2/7 + 6305*p/7 + 9453/7.
-(p - 3)*(p + 1)*(p + 3151)/7
Factor 3*q**3 - 588*q**2 + 28416*q - 405504.
3*(q - 132)*(q - 32)**2
Factor 5*i**4/6 - 65*i**3/6 + 115*i**2/6 - 55*i/6.
5*i*(i - 11)*(i - 1)**2/6
Let -65*j**4 - 143445*j**3 + 453280*j**2 + 508260*j - 88400 = 0. Calculate j.
-2210, -1, 2/13, 4
Determine j, given that -8*j**5/11 - 38*j**4/11 + 612*j**3/11 - 1058*j**2/11 - 500*j/11 + 1200/11 = 0.
-12, -1, 5/4, 2, 5
Factor -5*l**3 - 12000*l**2 - 35955*l.
-5*l*(l + 3)*(l + 2397)
Let 720*d**4 + 2156*d**3 + 2148*d**2 + 708*d - 4 = 0. What is d?
-1, 1/180
Factor -4*j**3 - 8344*j**2 + 41804*j - 33456.
-4*(j - 4)*(j - 1)*(j + 2091)
Solve -w**2/2 - 630158*w - 198549552482 = 0 for w.
-630158
Suppose 2*j**4/13 + 138*j**3/13 - 6272*j**2/13 + 46920*j/13 = 0. Calculate j.
-102, 0, 10, 23
Factor 4*d**3/3 + 693080*d**2/3 + 10007728656*d + 20014533216.
4*(d + 2)*(d + 86634)**2/3
Factor -5*u**2 - 13970870*u - 9759260427845.
-5*(u + 1397087)**2
Determine l, given that -l**5 - 24*l**4 - 35*l**3 + 200*l**2 + 36*l - 176 = 0.
-22, -4, -1, 1, 2
Factor -16*t**2/7 - 5734*t/7 - 2148/7.
-2*(t + 358)*(8*t + 3)/7
Let -3*i**3/4 + 18579*i**2/4 + 37167*i/4 + 18585/4 = 0. Calculate i.
-1, 6195
Determine k, given that -2*k**3/7 - 516*k**2/7 + 8*k/7 + 2064/7 = 0.
-258, -2, 2
Solve -j**4/9 + 61*j**3 + 4475*j**2/9 - 1177*j + 5570/9 = 0 for j.
-10, 1, 557
Factor 5*n**2 - 595025*n + 1190030.
5*(n - 119003)*(n - 2)
Suppose 2*o**4/3 + 144*o**3 - 1050*o**2 - 6148*o/3 + 7136 = 0. What is o?
-223, -3, 2, 8
Determine y, given that -93*y**3/2 + 1393*y**2/2 - 2310*y - 50 = 0.
-2/93, 5, 10
Find n such that 3*n**5 - 309*n**4 + 4557*n**3 - 14907*n**2 + 17364*n - 6708 = 0.
1, 2, 13, 86
Factor -2*x**3 - 1349020*x**2 + 2698046*x - 1349024.
-2*(x - 1)**2*(x + 674512)
Determine w, given that 15*w**3/4 + 3355*w**2/4 + 1115*w/2 = 0.
-223, -2/3, 0
Determine z so that -4*z**2 - 2092760*z - 273727776100 = 0.
-261595
Determine m so that -2*m**2/3 + 126748*m/3 - 2008131938/3 = 0.
31687
Factor 2*o**2/9 - 216*o - 2624.
2*(o - 984)*(o + 12)/9
Let 11*c**3 + 2290*c**2 + 62368*c + 11264 = 0. Calculate c.
-176, -32, -2/11
Suppose w**5/2 + 6*w**4 - 2215*w**3/2 - 1113*w**2 = 0. Calculate w.
-53, -1, 0, 42
Let 4*p**3 + 203844*p**2 + 407676*p + 203836 = 0. What is p?
-50959, -1
Let -2*t**4 + 2016*t**3 + 8090*t**2 + 6072*t = 0. Calculate t.
-3, -1, 0, 1012
Find x, given that 2*x**2/23 - 6666*x/23 - 6712 = 0.
-23, 3356
Factor o**4 - 88*o**3 + 2304*o**2 - 8192*o - 262144.
(o - 32)**3*(o + 8)
Determine o so that -3*o**5 + 210*o**4 + 18*o**3 - 1236*o**2 - 1671*o - 630 = 0.
-1, 3, 70
What is r in 3*r**3 + 72741*r**2 + 440027088*r - 11046187200 = 0?
-12136, 25
Find o, given that -o**5 + 26243*o**4 - 229556262*o**3 + 669232865016*o**2 + 670840100064*o - 4016775629952 = 0.
-3, 2, 8748
Find t, given that -980*t**5 + 7700*t**4 - 17505*t**3 + 9140*t**2 + 1585*t + 60 = 0.
-1/14, 1, 3, 4
Solve -3*m**2/5 + 3048*m/5 + 146556/5 = 0.
-46, 1062
Factor 23*h**3/5 - 917*h**2/5 - 24*h.
h*(h - 40)*(23*h + 3)/5
Find r, given that 3*r**4 + 303*r**3 - 225*r**2 - 21975*r + 75750 = 0.
-101, -10, 5
Suppose 42*j**2 + 379941*j + 81414 = 0. What is j?
-9046, -3/14
Determine a so that a**3/3 + 1639*a**2 - a/3 - 1639 = 0.
-4917, -1, 1
What is z in -5*z**4 - 2165*z**3 + 31295*z**2 + 2165*z - 31290 = 0?
-447, -1, 1, 14
Suppose 3*z**3/5 - 9639*z**2/5 + 7728048*z/5 + 23270976/5 = 0. Calculate z.
-3, 1608
Factor 2*a**2/5 - 2094572*a/5 + 548403982898/5.
2*(a - 523643)**2/5
Let -4*s**2 - 3277104*s - 671213164176 = 0. Calculate s.
-409638
Find v, given that v**2/3 - 255226*v/3 + 16285077769/3 = 0.
127613
Find m, given that 2*m**5/3 - 14152*m**4/3 + 8354382*m**3 - 99870796*m**2/3 - 274987648*m/3 - 50013184 = 0.
-1, 6, 3536
Find t such that 2*t**5 + 408*t**4 - 3368*t**3 + 5152*t**2 + 13440*t - 27136 = 0.
-212, -2, 2, 4
Let 2*a**3/7 - 134*a**2/7 + 2820*a/7 - 19008/7 = 0. What is a?
16, 18, 33
Solve -2*f**5/17 + 18*f**4/17 + 464*f**3/17 - 480*f**2/17 = 0 for f.
-12, 0, 1, 20
Factor n**4/3 - 35*n**3/3 + 332*n**2/3 - 532*n/3.
n*(n - 19)*(n - 14)*(n - 2)/3
Factor -104*q**2 - 22436*q + 6048.
-4*(q + 216)*(26*q - 7)
Find c, given that 245*c**2/2 - 11830*c + 285610 = 0.
338/7
Find s, given that -4*s**5/3 + 8*s**4 + 48*s**3 - 72*s**2 - 324*s = 0.
-3, 0, 3, 9
Factor 4*y**4 - 412*y**3 + 1572*y**2 + 1260*y - 7128.
4*(y - 99)*(y - 3)**2*(y + 2)
Determine d so that 2*d**4 - 202*d**3 + 2098*d**2 + 4042*d - 58740 = 0.
-5, 6, 11, 89
What is q in -4*q**5 + 468*q**4 - 15244*q**3 + 91788*q**2 - 198880*q + 145200 = 0?
2, 3, 55
Find n such that 2*n**2/13 + 128*n - 1666/13 = 0.
-833, 1
Determine a, given that 23762*a**5/3 + 86982*a**4 + 446684*a**3/3 + 68532*a**2 - 3886*a/3 + 6 = 0.
-9, -1, 1/109
Factor -4*x**4 - 243728*x**3 + 974976*x**2.
-4*x**2*(x - 4)*(x