-2/5, 16
Factor -2*d**2 + 60*d - 162.
-2*(d - 27)*(d - 3)
Determine z, given that 15*z**3 + 65*z**2 + 40*z - 60 = 0.
-3, -2, 2/3
What is t in -20*t**5 - 385*t**4 - 2335*t**3 - 3680*t**2 + 4980*t + 1440 = 0?
-8, -6, -1/4, 1
Factor -3*c**4 - 63*c**3 + 369*c**2 - 537*c + 234.
-3*(c - 3)*(c - 1)**2*(c + 26)
Find k, given that k**2/5 + 327*k/5 - 328/5 = 0.
-328, 1
Factor 85*k**2/4 - 190*k - 45/4.
5*(k - 9)*(17*k + 1)/4
Find d, given that 5*d**2/2 = 0.
0
Suppose b**5 - 9*b**4 + 27*b**3 - 31*b**2 + 12*b = 0. What is b?
0, 1, 3, 4
Let -3*g**5 - 660*g**4 + 672*g**3 + 1986*g**2 - 669*g - 1326 = 0. Calculate g.
-221, -1, 1, 2
Factor -3*f**3/4 - 423*f**2/4 - 1629*f/4 + 2055/4.
-3*(f - 1)*(f + 5)*(f + 137)/4
Let 3*w**5 + 39*w**4 - 135*w**3 + 141*w**2 - 48*w = 0. Calculate w.
-16, 0, 1
Let -f**2/4 + 105*f + 211 = 0. What is f?
-2, 422
Find s, given that 5*s**4 - 10*s**3 - 195*s**2 - 360*s = 0.
-3, 0, 8
Factor a**4/2 - 91*a**3 + 179*a**2/2 + 181*a.
a*(a - 181)*(a - 2)*(a + 1)/2
Determine d so that 2*d**4 + 1488*d**3 + 2970*d**2 + 1484*d = 0.
-742, -1, 0
Factor -2*p**3/7 + 122*p**2/7 - 34*p + 118/7.
-2*(p - 59)*(p - 1)**2/7
Suppose -5*b**4 - 22140*b**3 - 66390*b**2 - 66380*b - 22125 = 0. What is b?
-4425, -1
Let l**2 + 1812*l + 1811 = 0. Calculate l.
-1811, -1
Factor 3*u**2/4 + 129*u/4 - 33.
3*(u - 1)*(u + 44)/4
Factor -5*i**4 - 10*i**3 + 75*i**2.
-5*i**2*(i - 3)*(i + 5)
Suppose 3*g**3/7 - 18*g**2/7 = 0. What is g?
0, 6
Determine u, given that 15*u**5/2 + 89*u**4/2 - 1823*u**3/2 + 1135*u**2/2 + 292*u = 0.
-73/5, -1/3, 0, 1, 8
Determine f so that 2*f**4 + 22*f**3 + 36*f**2 - 112*f - 128 = 0.
-8, -4, -1, 2
Factor 98*w**3 - 140*w**2 - 104*w - 16.
2*(w - 2)*(7*w + 2)**2
Determine y, given that -3*y**5 - 723*y**4 - 61617*y**3 - 2118825*y**2 - 23490000*y - 81000000 = 0.
-75, -8
Determine j so that 2*j**5/11 - 16*j**3/11 - 12*j**2/11 + 14*j/11 + 12/11 = 0.
-2, -1, 1, 3
Determine i, given that -6*i**5 - 38*i**4 + 6*i**3 + 126*i**2 + 112*i + 24 = 0.
-6, -1, -1/3, 2
Factor -2*n**2/3 - 52*n/3 - 338/3.
-2*(n + 13)**2/3
Factor -2*o**2/7 + 632*o.
-2*o*(o - 2212)/7
Suppose 2*i**5/13 - 6*i**4/13 - 2*i**3/13 + 6*i**2/13 = 0. Calculate i.
-1, 0, 1, 3
Factor -4*n**3 - 348*n**2 - 336*n + 688.
-4*(n - 1)*(n + 2)*(n + 86)
Find w, given that 2*w**3/17 + 40*w**2/17 - 86*w/17 + 44/17 = 0.
-22, 1
Suppose 7*v**2/6 + 23*v/6 + 1 = 0. Calculate v.
-3, -2/7
Find d such that 2*d**5 + 2*d**4 - 156*d**3 - 332*d**2 + 1114*d - 630 = 0.
-7, -5, 1, 9
Factor 4*i**3 + 104*i**2 + 256*i - 6144.
4*(i - 6)*(i + 16)**2
Suppose -12*z**5/5 + 57*z**4/5 - 9*z**3 - 15*z**2 + 57*z/5 + 18/5 = 0. Calculate z.
-1, -1/4, 1, 2, 3
Factor -4*d**4 - 148*d**3 - 1548*d**2 - 2924*d + 4624.
-4*(d - 1)*(d + 4)*(d + 17)**2
Factor 3*v**2/2 - 21*v - 9945/2.
3*(v - 65)*(v + 51)/2
What is g in -3*g**2/5 - 57*g/5 - 54/5 = 0?
-18, -1
Factor -4*h**3 + 20*h**2 + 100*h - 500.
-4*(h - 5)**2*(h + 5)
Determine s, given that 2*s**3/5 - 136*s**2/5 + 266*s/5 - 132/5 = 0.
1, 66
Factor 2*i**2 + 46*i + 204.
2*(i + 6)*(i + 17)
Factor u**3/5 + 91*u**2/5 + 179*u/5 + 89/5.
(u + 1)**2*(u + 89)/5
Factor w**4/7 + 6*w**3 - 573*w**2/7 + 530*w/7.
w*(w - 10)*(w - 1)*(w + 53)/7
Solve -k**5 - 72*k**4 + 457*k**3 - 852*k**2 + 468*k = 0.
-78, 0, 1, 2, 3
Determine r, given that 2*r**3/7 + 46*r**2/7 - 226*r/7 - 270/7 = 0.
-27, -1, 5
Solve n**5 + 2*n**4 - 11*n**3 - 4*n**2 + 28*n - 16 = 0.
-4, -2, 1, 2
Suppose -l**2/6 + 68*l/3 + 137/6 = 0. What is l?
-1, 137
Factor y**3/3 - 43*y**2/3 + 83*y/3 - 41/3.
(y - 41)*(y - 1)**2/3
Factor 3*v**3/4 + 9*v**2 - 45*v/4 - 39/2.
3*(v - 2)*(v + 1)*(v + 13)/4
Solve b**2/6 - 9*b/2 - 14/3 = 0 for b.
-1, 28
Factor -z**4/11 - 8*z**3/11 - 23*z**2/11 - 28*z/11 - 12/11.
-(z + 1)*(z + 2)**2*(z + 3)/11
Determine q, given that 2*q**3/9 - 2674*q**2/3 + 894230*q - 8040050/9 = 0.
1, 2005
Factor 15*x**2 + 10*x - 105.
5*(x + 3)*(3*x - 7)
Find x, given that -3*x**3 + 234*x**2 - 5184*x + 23328 = 0.
6, 36
Factor 5*u**3 + 630*u**2 - 2580*u + 2600.
5*(u - 2)**2*(u + 130)
Let 2*x**5 + 592*x**4 + 56976*x**3 + 1635796*x**2 - 14056978*x + 12363612 = 0. Calculate x.
-101, 1, 6
Find p such that 2*p**5 + 10*p**4 - 52*p**3 - 8*p**2 + 176*p - 128 = 0.
-8, -2, 1, 2
Factor r**4/3 + 4*r**3/3 - 11*r**2/3 + 2*r.
r*(r - 1)**2*(r + 6)/3
Let 4*y**4 + 66*y**3 + 144*y**2 + 56*y = 0. Calculate y.
-14, -2, -1/2, 0
Solve s**2/4 - 3*s - 13/4 = 0.
-1, 13
Let 3*x**2 - 12*x - 15 = 0. Calculate x.
-1, 5
Determine l so that l**5/6 - 2*l**4/3 - 13*l**3/6 + 2*l**2/3 + 2*l = 0.
-2, -1, 0, 1, 6
Find a, given that 2*a**2/7 + 88*a/7 + 86/7 = 0.
-43, -1
Let -2*l**2/3 + 208*l = 0. Calculate l.
0, 312
Let -2*y**2/15 - 22*y/15 + 8 = 0. Calculate y.
-15, 4
Factor j**3/3 + 2602*j**2/3 + 10396*j/3 + 3464.
(j + 2)**2*(j + 2598)/3
Suppose -u**5 + 3*u**4 + u**3 - 11*u**2 + 12*u - 4 = 0. What is u?
-2, 1, 2
Solve 5*u**2 - 670*u + 22445 = 0 for u.
67
Factor -3*n**4 + 36*n**3 + 84*n**2.
-3*n**2*(n - 14)*(n + 2)
Factor 3*g**3 + 75*g**2 + 225*g - 3375.
3*(g - 5)*(g + 15)**2
Solve 20*r**5 + 785*r**4 + 7315*r**3 - 6140*r**2 - 1980*r = 0.
-22, -18, -1/4, 0, 1
Determine y so that 2*y**5/7 + 8*y**4/7 - 90*y**3/7 = 0.
-9, 0, 5
Factor -10*z**3 + 35*z**2 + 25*z - 20.
-5*(z - 4)*(z + 1)*(2*z - 1)
Solve 4*v**2/7 + 2288*v + 2290288 = 0 for v.
-2002
Suppose 222*a**5/11 - 3336*a**4/11 + 6528*a**3/11 + 45780*a**2/11 + 34722*a/11 - 972/11 = 0. What is a?
-2, -1, 1/37, 9
Solve v**2 + 137*v = 0.
-137, 0
Factor -10*j**2/11 + 232*j/11 - 122.
-2*(j - 11)*(5*j - 61)/11
Factor -2*f**2/7 - 13892*f/7 - 13890/7.
-2*(f + 1)*(f + 6945)/7
Find z such that 5*z**2 - 215*z - 940 = 0.
-4, 47
Factor -5*j**4/6 + 10*j**3 - 75*j**2/2 + 125*j/3.
-5*j*(j - 5)**2*(j - 2)/6
Factor c**3 - 2*c**2 - 65*c - 150.
(c - 10)*(c + 3)*(c + 5)
Factor 2*q**2/13 - 5192*q/13 + 3369608/13.
2*(q - 1298)**2/13
Solve 2*n**4/13 - 10*n**3/13 - 16*n**2/13 + 96*n/13 = 0 for n.
-3, 0, 4
Factor -b**3/7 + 58*b**2/7 + 463*b/7 - 520/7.
-(b - 65)*(b - 1)*(b + 8)/7
Factor -3*q**2/2 + 63*q/2 + 108.
-3*(q - 24)*(q + 3)/2
Factor 3*m**3 - 210*m**2 - 888*m.
3*m*(m - 74)*(m + 4)
Factor -5*l**2 + 11770*l - 6926645.
-5*(l - 1177)**2
Factor t**2 + 174*t + 7569.
(t + 87)**2
Determine s, given that 2*s**4 + 154*s**3 + 2166*s**2 - 31906*s + 29584 = 0.
-43, 1, 8
Let 32*f**4/3 + 208*f**3/3 - 766*f**2/3 - 140*f - 18 = 0. Calculate f.
-9, -1/4, 3
Factor -d**4 - 178*d**3.
-d**3*(d + 178)
Factor -2*n**3 - 52*n**2 + 54*n.
-2*n*(n - 1)*(n + 27)
Let 2*x**5 + 100*x**4/3 - 52*x**3/3 - 96*x**2 + 302*x/3 - 68/3 = 0. Calculate x.
-17, -2, 1/3, 1
Factor 2*u**4 - 292*u**3 + 10362*u**2 + 21608*u + 10952.
2*(u - 74)**2*(u + 1)**2
Let 9*s**3 + 696*s**2 + 225*s - 462 = 0. What is s?
-77, -1, 2/3
Factor -7*o**4/9 + 250*o**3/9 - 244*o**2 - 72*o.
-o*(o - 18)**2*(7*o + 2)/9
Factor -2*m**4/3 - 272*m**3/3 + 550*m**2/3 - 92*m.
-2*m*(m - 1)**2*(m + 138)/3
Factor -8*t**2 - 442*t - 110.
-2*(t + 55)*(4*t + 1)
Solve -10*c**4/11 - 1488*c**3/11 - 55942*c**2/11 - 43512*c/11 + 10952/11 = 0.
-74, -1, 1/5
What is z in 2*z**3/7 + 120*z**2/7 + 234*z + 1520/7 = 0?
-40, -19, -1
Factor 2*v**3/5 - 498*v**2/5 + 6048*v + 95256/5.
2*(v - 126)**2*(v + 3)/5
Let -n**3 + 69*n**2 = 0. Calculate n.
0, 69
Factor -2*y**4/13 - 116*y**3/13 - 1176*y**2/13 - 3312*y/13.
-2*y*(y + 6)**2*(y + 46)/13
Factor 2*r**2/3 + 50*r/3 + 92/3.
2*(r + 2)*(r + 23)/3
Factor o**3 - 130*o**2 + 257*o - 128.
(o - 128)*(o - 1)**2
Find p such that 2*p**4/17 + 40*p**3/17 + 200*p**2/17 = 0.
-10, 0
Find u, given that -2*u**2/13 - 24*u/13 - 40/13 = 0.
-10, -2
Suppose 3*v**3 - 45*v**2 + 144*v - 132 = 0. Calculate v.
2, 11
Find h such that -4*h**3 + 196*h**2 - 2668*h + 6348 = 0.
3, 23
Suppose -5*u**5 - 48*u**4 - 100*u**3 + 98*u**2 + 105*u - 50 = 0. Calculate u.
-5, -1, 2/5, 1
What is x in 4*x**5/5 + 1964*x**4/5 + 242056*x**3/5 + 238136*x**2/5 - 48412*x - 48020 = 0?
-245, -1, 1
Find j, given that -j**4/3 - 22*j**3/3 - 157*j**2/3 - 132*j - 108 = 0.
-9, -2
Let -147*p**5 - 1323*p**4 - 3957*p**3 - 3861*p**2 + 324*p + 324 = 0. What is p?
-3, -2/7, 2/7
Determine x so that -5*x**2 + 130*x - 240 = 0.
2, 24
Factor -2*y**3/13 + 8*y**2/13 - 2*y/13 - 12/13.
-2*(y - 3)*(y - 2)*(y + 1)/13
Factor -6*u**3 + 832*u**2 + 278*u.
-2*u*(u - 139)*(3*u + 1)
Find d, given that d**2/3 + 2*d/3 + 1/3 = 0.
-1
Find y such that -4*y**2 + 2016*y - 254016 = 0.
252
Determine b, given that 3*