5, 1, 2, 10
Factor 2*d**3 - 66470*d**2 - 132946*d - 66474.
2*(d - 33237)*(d + 1)**2
Find g such that -108*g**4 + 20376*g**3 + 27321*g**2 + 7407*g + 570 = 0.
-1, -1/6, 190
Factor 180*p**2/7 + 8818*p/7 - 14.
2*(p + 49)*(90*p - 1)/7
Factor t**4/2 - 996579*t**3 + 993171696397*t**2/2 - 993168706662*t + 496583855042.
(t - 996578)**2*(t - 1)**2/2
Factor -a**2 + 42*a - 216.
-(a - 36)*(a - 6)
Factor a**2/10 + 10269*a/5.
a*(a + 20538)/10
What is i in -4*i**5 - 1800*i**4 - 21112*i**3 - 38208*i**2 + 146972*i - 85848 = 0?
-438, -7, 1
What is v in -3*v**2 - 1385691*v = 0?
-461897, 0
Suppose 33*p**3 + 7779*p**2 - 25908*p - 22944 = 0. What is p?
-239, -8/11, 4
Determine s so that 120*s**4 - 185*s**3 - 2540*s**2 + 7275*s - 3690 = 0.
-41/8, 2/3, 3
Determine k, given that 3*k**2 + 8079*k - 56700 = 0.
-2700, 7
Factor -2*g**3 - 34*g**2 + 74*g - 38.
-2*(g - 1)**2*(g + 19)
Factor 4*n**3 - 76*n**2 - 1908*n + 1980.
4*(n - 33)*(n - 1)*(n + 15)
Factor 5*k**4 - 5370*k**3 - 5375*k**2.
5*k**2*(k - 1075)*(k + 1)
Suppose -15*u**2 - 25026*u - 10008 = 0. Calculate u.
-1668, -2/5
Solve z**4 - 41*z**3 - 337*z**2 + 41*z + 336 = 0.
-7, -1, 1, 48
Factor -3*c**3 + 16416*c**2 - 32820*c.
-3*c*(c - 5470)*(c - 2)
Find d such that 12*d**5 + 36220*d**4 - 278556*d**3 - 496092*d**2 + 520544*d + 217872 = 0.
-3026, -2, -1/3, 1, 9
What is g in 4*g**2/9 - 220*g/9 - 1736/9 = 0?
-7, 62
Determine d so that d**4/8 - 4*d**3 - 187*d**2/8 + 25*d/4 + 111 = 0.
-4, -3, 2, 37
Solve 3*f**3/4 + 23925*f**2/2 + 47841*f + 47838 = 0.
-15946, -2
Solve z**2 - 133650*z - 133651 = 0.
-1, 133651
Factor -m**4/2 - 180*m**3 + 367*m**2/2 + 1083*m.
-m*(m - 3)*(m + 2)*(m + 361)/2
Let 6*r**3 - 601564*r**2 + 15078502440*r - 10052067600 = 0. What is r?
2/3, 50130
Factor 5*l**2 - 9190*l - 251775.
5*(l - 1865)*(l + 27)
Solve 17*f**4 + 237*f**3 + 802*f**2 - 48*f = 0 for f.
-8, -6, 0, 1/17
Factor 4*h**3 + 959720*h**2 + 57566404900*h.
4*h*(h + 119965)**2
Determine x, given that 3*x**3/5 - 7006*x**2/5 + 817600*x + 2728448/5 = 0.
-2/3, 1168
What is y in 2*y**4 + 344*y**3 - 1402*y**2 + 1056*y = 0?
-176, 0, 1, 3
Suppose 2*d**3 + 4334*d**2 - 17360*d + 17368 = 0. Calculate d.
-2171, 2
Factor 3*c**3 - 1488*c**2 - 10563*c.
3*c*(c - 503)*(c + 7)
Determine b so that -b**2/4 - 59*b + 240 = 0.
-240, 4
Suppose p**5 + 4983*p**4 + 6205079*p**3 - 6215047*p**2 - 6205080*p + 6210064 = 0. Calculate p.
-2492, -1, 1
Suppose -2*o**4/7 + 62*o**3/7 + 2866*o**2/7 + 5538*o/7 + 2736/7 = 0. Calculate o.
-24, -1, 57
Find t such that -77*t**2 - 1307*t + 34 = 0.
-17, 2/77
Solve -2*g**3 + 11552*g**2 - 161362*g + 149812 = 0.
1, 13, 5762
Factor -5*m**2/4 + 435*m/2 + 264735/4.
-5*(m - 333)*(m + 159)/4
Find d, given that d**2 + 4412*d - 4413 = 0.
-4413, 1
Factor 484*w**2/7 + 61336*w/7 + 1943236/7.
4*(11*w + 697)**2/7
Let -6*j**5 - 1647*j**4 - 2412*j**3 + 12381*j**2 + 26244*j + 9828 = 0. Calculate j.
-273, -2, -1/2, 3
Determine o, given that -o**4/5 - 144*o**3/5 + 3238*o**2/5 + 23208*o/5 + 7335 = 0.
-163, -3, 25
Factor g**4/4 - 61*g**3/4 + 1119*g**2/4 - 5751*g/4 + 2187.
(g - 27)**2*(g - 4)*(g - 3)/4
Factor 21*u**2 + 120954*u.
3*u*(7*u + 40318)
What is r in 165*r**3 + 5570*r**2 + 40140*r - 119880 = 0?
-18, 74/33
Find u, given that -u**3/3 + 2052*u**2 - 18461*u/3 + 4102 = 0.
1, 2, 6153
Suppose 2*k**4/7 + 64*k**3/7 + 312*k**2/7 = 0. What is k?
-26, -6, 0
What is x in -3*x**2/5 - 63363*x/5 + 443688/5 = 0?
-21128, 7
Find q such that 4*q**3 + 2244*q**2 - 6768*q = 0.
-564, 0, 3
What is p in -2*p**2/9 + 36620*p/3 - 167628050 = 0?
27465
Suppose 3*z**5 - 183*z**4 + 3126*z**3 - 7896*z**2 - 61152*z + 131712 = 0. Calculate z.
-4, 2, 7, 28
Find y such that -y**4/8 - 1283*y**3/4 - 1646085*y**2/8 + 1283*y + 1646089/2 = 0.
-1283, -2, 2
Find f, given that -3*f**4 - 117*f**3 + 17595*f**2 - 477687*f + 3942108 = 0.
-108, 23
Factor 3*y**3 + 288*y**2 + 5775*y + 31950.
3*(y + 10)*(y + 15)*(y + 71)
Find b such that b**5/3 - 2*b**4 - 298*b**3/3 + 3220*b**2/3 - 1309*b - 22990/3 = 0.
-19, -2, 5, 11
Determine a so that 4*a**5 - 56*a**4 - 13128*a**3 - 39008*a**2 - 38876*a - 12936 = 0.
-49, -1, 66
Find z, given that -z**4/4 + 11*z**3/4 + 1083*z**2/4 - 2195*z/4 + 551/2 = 0.
-29, 1, 38
Solve 5*i**2 + 893175*i + 3572620 = 0.
-178631, -4
Let 5*p**3 + 440*p**2 + 9420*p + 41760 = 0. What is p?
-58, -24, -6
What is u in -3*u**2 + 151050*u + 2115288 = 0?
-14, 50364
Suppose -z**5 - 89*z**4 + 1597*z**3 + 3797*z**2 - 5304*z = 0. Calculate z.
-104, -3, 0, 1, 17
Find w such that 4*w**4 - 496*w**3 + 16788*w**2 - 87320*w + 111392 = 0.
2, 4, 59
Factor -169*t**2/5 + 486668*t/5 - 350363524/5.
-(13*t - 18718)**2/5
Let 135*x**2/4 + 9651*x/2 - 429/4 = 0. What is x?
-143, 1/45
Factor 4*j**3 + 2206*j**2 - 92118*j.
2*j*(j - 39)*(2*j + 1181)
Solve 885*x**2 - 446050*x + 5040 = 0 for x.
2/177, 504
Find i, given that -3*i**4 + 4788*i**3 - 1948332*i**2 + 30260160*i - 119827200 = 0.
8, 790
Solve 2*q**2/15 - 2596084*q/15 + 842456516882/15 = 0 for q.
649021
Determine g, given that -5*g**5 - 660*g**4 - 15615*g**3 + 426980*g**2 - 410700*g = 0.
-74, 0, 1, 15
Factor h**4 - 4675*h**3 + 5442826*h**2 + 49280364*h + 98729352.
(h - 2342)**2*(h + 3)*(h + 6)
Factor 5*m**3 + 710*m**2 + 20705*m.
5*m*(m + 41)*(m + 101)
Find f, given that -3*f**3/4 + 39339*f**2/2 + 157365*f/4 + 19671 = 0.
-1, 26228
Determine g, given that 2*g**3 + 5862*g**2 + 46750*g - 52614 = 0.
-2923, -9, 1
Factor -i**3 + 1026*i**2 - 264192*i + 524288.
-(i - 512)**2*(i - 2)
Factor 4*l**2/7 - 62492*l/7 - 375096/7.
4*(l - 15629)*(l + 6)/7
What is m in 2*m**2/7 + 748*m/7 + 11456/7 = 0?
-358, -16
Solve v**2/8 + 42897*v/4 + 1840152609/8 = 0 for v.
-42897
Determine y so that -y**4/5 - 14*y**3/5 + 3*y**2/5 + 8*y - 28/5 = 0.
-14, -2, 1
Factor 2*a**2/17 - 14*a/17 - 36/17.
2*(a - 9)*(a + 2)/17
Solve -2*j**5/11 + 162*j**4/11 - 4596*j**3/11 + 49700*j**2/11 - 86250*j/11 - 843750/11 = 0.
-3, 9, 25
Factor -2*b**4 - 54*b**3 - 416*b**2 - 1080*b - 896.
-2*(b + 2)**2*(b + 7)*(b + 16)
Determine i so that 2*i**3/13 + 98734*i**2/13 + 592350*i/13 + 68346 = 0.
-49361, -3
Determine b, given that 2*b**3 - 61310*b**2 + 367806*b - 551682 = 0.
3, 30649
Determine v so that -v**2/8 - 2867*v/2 - 8219689/2 = 0.
-5734
What is a in 2*a**2/3 + 982*a/3 - 4960/3 = 0?
-496, 5
Find z, given that 2*z**4 + 144768*z**3 + 3492962304*z**2 + 28092731490304*z = 0.
-24128, 0
Factor 3*o**4/8 - 18675*o**3/8 + 3634038*o**2 - 3631704*o.
3*o*(o - 3112)**2*(o - 1)/8
Determine v so that v**5/3 - 7*v**4/3 - 389*v**3/3 - 211*v**2 + 1356*v + 1440 = 0.
-15, -4, -1, 3, 24
Suppose 6*b**4 + 885764*b**3 + 43587757512*b**2 + 714979672572060*b + 238321714472658 = 0. Calculate b.
-49209, -1/3
Let 2*a**2 - 862706*a + 862704 = 0. Calculate a.
1, 431352
Find q, given that -15*q**4 - 3200*q**3 - 128840*q**2 + 4682240*q - 3063280 = 0.
-118, 2/3, 22
Factor 3*a**2 - 159*a + 966.
3*(a - 46)*(a - 7)
Find u, given that -4*u**4/9 + 428*u**3/3 + 10468*u**2/9 + 6580*u/3 = 0.
-5, -3, 0, 329
Determine h, given that h**5/2 + 7*h**4 - 11*h**3/2 - 158*h**2 + 14*h + 520 = 0.
-13, -5, -2, 2, 4
Find j such that 28*j**5/11 + 1850*j**4/11 + 5424*j**3/11 + 266*j**2/11 - 7064*j/11 - 504/11 = 0.
-63, -2, -1/14, 1
Let 12*p**5 + 196*p**4 - 7020*p**3 + 28700*p**2 = 0. What is p?
-35, 0, 5, 41/3
What is i in i**5/2 + 51*i**4/2 + 353*i**3 + 543*i**2 - 8195*i/2 - 8625/2 = 0?
-25, -23, -5, -1, 3
Let -3*r**3 - 74922*r**2 - 149835*r - 74916 = 0. What is r?
-24972, -1
Factor -6*v**2 - 632*v - 5202.
-2*(v + 9)*(3*v + 289)
Determine s so that s**4 - 5656*s**3 + 7997580*s**2 + 22624*s - 31990336 = 0.
-2, 2, 2828
What is d in 15*d**3/7 + 20094*d**2/7 + 12045*d/7 - 8034/7 = 0?
-1339, -1, 2/5
Let -33*i**3 + 1410*i**2 - 7113*i + 4440 = 0. Calculate i.
8/11, 5, 37
Let -2*v**3/11 + 36*v**2 - 2698*v/11 + 4584/11 = 0. What is v?
3, 4, 191
Factor 2*r**2/9 + 539756*r/9 - 539758/9.
2*(r - 1)*(r + 269879)/9
Suppose -5*r**4 - 1330*r**3 - 1565*r**2 + 11555040*r - 377406720 = 0. Calculate r.
-181, 48
Factor -b**5 - 112*b**4 - 2133*b**3 - 14094*b**2 - 29160*b.
-b*(b + 4)*(b + 9)**2*(b + 90)
Find z, given that -z**2 + 3857*z/3 - 15380/3 = 0.
4, 3845/3
Factor -y**2 - 105*y + 106.
-(y - 1)*(y + 106)
Determine y, given that -25*y**3 + 13265*y**2 - 112140*y - 46980 = 0.
-2/5, 9, 522
Find p such that 3337*p**2/10 + 667*p - 4/5 = 0.
-2, 4/3337
Factor h**2/4 - 143*h/2 + 14049/4.
(h - 223)*(h - 6