 0
Find s such that 40368*s**4 + 162168*s**3 + 123891*s**2 + 2100*s + 9 = 0.
-3, -1, -1/116
Let -i**4/7 + 69*i**3/7 - 1153*i**2/7 - 195*i + 350 = 0. Calculate i.
-2, 1, 35
Factor -3*b**2 - 378*b - 1107.
-3*(b + 3)*(b + 123)
Find u such that -u**3/4 + u**2/4 + 10*u - 28 = 0.
-7, 4
Factor -9*y**3/2 - 37*y**2 - 121*y/2 - 28.
-(y + 1)**2*(9*y + 56)/2
Factor -2*z**4/3 - 2*z**3 + 70*z**2 - 650*z/3.
-2*z*(z - 5)**2*(z + 13)/3
Factor r**5/4 - 7*r**3/4 + 3*r**2/2.
r**2*(r - 2)*(r - 1)*(r + 3)/4
Find l, given that -143*l**3/4 + l**2/2 + 143*l/4 - 1/2 = 0.
-1, 2/143, 1
Factor z**3 + 426*z**2 - 1716*z + 1720.
(z - 2)**2*(z + 430)
Factor 4*m**2/3 + 2784*m + 1453248.
4*(m + 1044)**2/3
Let -3*t**2 - 90*t + 93 = 0. What is t?
-31, 1
Solve w**2/5 + 13*w/5 = 0.
-13, 0
Factor 41*x**2 + 81*x - 2.
(x + 2)*(41*x - 1)
What is k in -3*k**3 - 60*k**2 + 276*k - 288 = 0?
-24, 2
Solve -3*j**3 - 43*j**2 - 86*j - 24 = 0 for j.
-12, -2, -1/3
Factor -l**2/6 - 11*l/2.
-l*(l + 33)/6
What is v in 5*v**2 - 3240*v + 524880 = 0?
324
Factor -105*r**3 - 262*r**2 - 108*r - 8.
-(r + 2)*(5*r + 2)*(21*r + 2)
Factor -18*y**4/5 - 34*y**3/5 + 4*y**2/5.
-2*y**2*(y + 2)*(9*y - 1)/5
Factor -45*n**3 + 1410*n**2 - 620*n - 192200.
-5*(n + 10)*(3*n - 62)**2
Factor h**3/4 + 21*h**2/4 + 99*h/4 - 121/4.
(h - 1)*(h + 11)**2/4
Determine m so that -2*m**4 + 1244*m**3 - 193424*m**2 - 11196*m + 1740978 = 0.
-3, 3, 311
Find w, given that -11*w**3/6 - 18*w**2 - 79*w/6 + 3 = 0.
-9, -1, 2/11
Factor 2*h**3/3 + 58*h**2/3 - 20*h.
2*h*(h - 1)*(h + 30)/3
Suppose -3*b**4 - 3*b**3 + 12*b**2 + 12*b = 0. What is b?
-2, -1, 0, 2
Factor -3*z**2 - 1158*z - 111747.
-3*(z + 193)**2
Determine w so that 2*w**2/13 + 2012*w/13 + 506018/13 = 0.
-503
What is v in 16*v**5 + 84*v**4 + 20*v**3 - 320*v**2 - 336*v - 64 = 0?
-4, -2, -1, -1/4, 2
Determine y, given that 3*y**4 + 54*y**3 + 249*y**2 + 414*y + 216 = 0.
-12, -3, -2, -1
Suppose 4*a**4/7 + 33*a**3/7 - 248*a**2/7 - 2112*a/7 - 512/7 = 0. Calculate a.
-8, -1/4, 8
Factor p**2 + 6*p + 8.
(p + 2)*(p + 4)
Determine i so that -4*i**4 - 13*i**3 + i**2 + 13*i + 3 = 0.
-3, -1, -1/4, 1
Let -6*k**4/5 + 8*k**3 - 54*k**2/5 + 4*k = 0. What is k?
0, 2/3, 1, 5
Solve 2*i**4 - 14*i**3 + 12*i**2 = 0.
0, 1, 6
Suppose 3*r**2/5 - 297*r - 1488/5 = 0. What is r?
-1, 496
Factor 3*g**3/7 - 72*g**2/7 + 135*g/7 - 66/7.
3*(g - 22)*(g - 1)**2/7
Determine g, given that g**4 - 24*g**3 + 45*g**2 + 1350*g = 0.
-6, 0, 15
Let 2*f**2/3 - 34*f/3 = 0. Calculate f.
0, 17
Solve -4*c**3 - 24*c**2 - 48*c - 32 = 0 for c.
-2
Factor -2*j**3/7 - 46*j**2/7 + 48*j/7.
-2*j*(j - 1)*(j + 24)/7
Factor 5*n**4 + 330*n**3 + 5105*n**2 - 11220*n + 5780.
5*(n - 1)**2*(n + 34)**2
Factor -x**2/2 + 122*x - 1195/2.
-(x - 239)*(x - 5)/2
Let 3*o**2 + 6318*o + 3326427 = 0. Calculate o.
-1053
What is f in -f**5/6 + f**4/6 + 5*f**3/6 + f**2/2 = 0?
-1, 0, 3
Let 3*a**2/5 - 60 = 0. Calculate a.
-10, 10
Suppose -2*i**5/7 - 2*i**4/7 + 6*i**3/7 + 10*i**2/7 + 4*i/7 = 0. What is i?
-1, 0, 2
Factor -2*y**5/5 - 4*y**4/5 + 4*y**3/5 + 16*y**2/5 + 14*y/5 + 4/5.
-2*(y - 2)*(y + 1)**4/5
Factor 2*u**3 - 142*u**2 + 2128*u + 14440.
2*(u - 38)**2*(u + 5)
Suppose i**3/3 + 41*i**2/3 + 133*i - 147 = 0. What is i?
-21, 1
Determine p so that 2*p**2/5 + 124*p/5 - 256/5 = 0.
-64, 2
Find w, given that 5*w**5 + 10*w**4 - 125*w**3 - 250*w**2 = 0.
-5, -2, 0, 5
Factor 3*n**5 - 51*n**4 + 198*n**3 - 204*n**2 - 168*n + 288.
3*(n - 12)*(n - 2)**3*(n + 1)
Determine o, given that -o**2/3 + 1568*o - 1843968 = 0.
2352
Factor 105*u**3 + 10*u**2 - 420*u - 40.
5*(u - 2)*(u + 2)*(21*u + 2)
Factor 5*g**3 + 105*g**2 + 190*g.
5*g*(g + 2)*(g + 19)
Factor -4*v**3/3 - 1196*v**2/3 - 7052*v/3 - 5860/3.
-4*(v + 1)*(v + 5)*(v + 293)/3
Solve 3*z**5/8 + 27*z**4/8 + 63*z**3/8 + 57*z**2/8 + 9*z/4 = 0 for z.
-6, -1, 0
Factor -3*h**4 + 90*h**3 + 4293*h**2 + 4200*h.
-3*h*(h - 56)*(h + 1)*(h + 25)
Suppose 3*b**4 + 3*b**3 - 6*b**2 = 0. Calculate b.
-2, 0, 1
Factor -2*j**2/5 - 272*j + 1362/5.
-2*(j - 1)*(j + 681)/5
Factor 6*v**5 - 25*v**4 + 34*v**3 - 17*v**2 + 2*v.
v*(v - 2)*(v - 1)**2*(6*v - 1)
Factor 15*r**3 + 35*r**2 - 90*r + 40.
5*(r - 1)*(r + 4)*(3*r - 2)
Factor -i**4/4 - 11*i**3/4 - 21*i**2/2 - 16*i - 8.
-(i + 1)*(i + 2)*(i + 4)**2/4
Suppose -4*g**3 + 276*g**2 + 1168*g = 0. Calculate g.
-4, 0, 73
Factor 3*h**2 + 36*h + 33.
3*(h + 1)*(h + 11)
Solve -34*n**4 + 8*n**3 + 102*n**2 - 92*n + 16 = 0.
-2, 4/17, 1
What is y in 2*y**5 - 20*y**4 + 50*y**3 + 40*y**2 - 160*y - 128 = 0?
-1, 4
What is h in 4*h**4 + 44*h**3 + 52*h**2 - 492*h - 504 = 0?
-7, -6, -1, 3
Solve 2*d**3/9 + 82*d**2/9 + 84*d = 0 for d.
-27, -14, 0
Determine x so that 3*x**2/7 - 90*x/7 - 297/7 = 0.
-3, 33
Factor 5*o**2 + 150*o + 520.
5*(o + 4)*(o + 26)
Factor 5*n**5 - 180*n**4 + 340*n**3 + 10*n**2 - 345*n + 170.
5*(n - 34)*(n - 1)**3*(n + 1)
Factor -b**3 - 12*b**2 + 1636*b + 3312.
-(b - 36)*(b + 2)*(b + 46)
What is x in 24*x**3 - 220*x**2 + 36*x = 0?
0, 1/6, 9
Solve 5*u**3 + 150*u**2 + 135*u - 290 = 0.
-29, -2, 1
Factor -2*t**2/13 - 2346*t/13.
-2*t*(t + 1173)/13
Determine k, given that 2*k**2/9 + 248*k/9 + 1330/3 = 0.
-105, -19
Factor 2*i**3 + 2244*i**2.
2*i**2*(i + 1122)
Factor -8*n**2/13 + 38*n/13 + 108/13.
-2*(n + 2)*(4*n - 27)/13
Factor 4*o**3 + 10716*o**2.
4*o**2*(o + 2679)
Factor -4*b**2/7 + 48*b/7 - 144/7.
-4*(b - 6)**2/7
What is q in -95*q**2 - 4360*q + 460 = 0?
-46, 2/19
Factor -g**3/4 - 27*g**2/4.
-g**2*(g + 27)/4
Factor 4*t**4 + 436*t**3 + 1636*t**2 - 4596*t + 2520.
4*(t - 1)**2*(t + 6)*(t + 105)
Determine y, given that -2*y**2 - 618*y - 616 = 0.
-308, -1
Factor m**2/7 + 4*m/7.
m*(m + 4)/7
Factor 10*l**2/7 - 318*l/7 - 64/7.
2*(l - 32)*(5*l + 1)/7
Factor -s**3 - 5*s**2 + 36*s.
-s*(s - 4)*(s + 9)
Find w such that 5*w**5 - 40*w**4 - 10*w**3 + 260*w**2 + 365*w + 140 = 0.
-1, 4, 7
Factor -3*i**5 - 22*i**4 - 61*i**3 - 78*i**2 - 44*i - 8.
-(i + 1)*(i + 2)**3*(3*i + 1)
Solve -5*v**5 - 155*v**4 - 745*v**3 + 155*v**2 + 750*v = 0 for v.
-25, -6, -1, 0, 1
Solve -3*r**4 + 30*r**3 - 69*r**2 - 30*r + 72 = 0.
-1, 1, 4, 6
Factor -4*h**3 + 24*h**2 + 124*h - 144.
-4*(h - 9)*(h - 1)*(h + 4)
Factor 900*o**5 + 120*o**4 - 35*o**3 - 5*o**2.
5*o**2*(5*o - 1)*(6*o + 1)**2
Factor -7*w**3/5 - 176*w**2/5 + 197*w/5 + 366/5.
-(w - 2)*(w + 1)*(7*w + 183)/5
Find z, given that -3*z**2 + 17424*z/7 + 4980/7 = 0.
-2/7, 830
Factor v**3/3 + 5*v**2/3 + v - 3.
(v - 1)*(v + 3)**2/3
Factor -5*i**2 + 405*i + 13910.
-5*(i - 107)*(i + 26)
Suppose -2*s**4/5 - 4*s**3/5 + 6*s**2 - 8*s/5 - 8 = 0. What is s?
-5, -1, 2
Solve -m**4 - 476*m**3 - 84966*m**2 - 6740636*m - 200533921 = 0.
-119
Solve 2*g**4/13 + 38*g**3/13 - 132*g**2/13 + 8*g/13 + 176/13 = 0 for g.
-22, -1, 2
Let 22*d**4/15 - 10*d**3 - 644*d**2/15 - 184*d/5 - 16/3 = 0. Calculate d.
-2, -1, -2/11, 10
Factor -2*i**4 + 2948*i**3 - 1092218*i**2 + 4333560*i - 4321800.
-2*(i - 735)**2*(i - 2)**2
Solve -l**3/2 - 9*l**2/2 - 4*l = 0.
-8, -1, 0
Determine v so that 5*v**4/4 + 137*v**3/4 + 256*v**2 + 607*v + 204 = 0.
-17, -6, -4, -2/5
Let -18*v**2/7 - 2*v = 0. Calculate v.
-7/9, 0
Factor -3*o**3 - 102*o**2 + 105*o.
-3*o*(o - 1)*(o + 35)
Factor 5*i**5 - 5*i**4 - 80*i**3 - 100*i**2.
5*i**2*(i - 5)*(i + 2)**2
Factor -45*k**3/7 + 4962*k**2/7 - 135788*k/7 - 55112/7.
-(3*k - 166)**2*(5*k + 2)/7
Solve 2*r**3 + 82*r**2 + 854*r + 2646 = 0 for r.
-27, -7
Factor 20*j**2 + 2672*j.
4*j*(5*j + 668)
Solve -4*u**3 + 4*u**2 + 8*u = 0.
-1, 0, 2
What is q in -q**2/3 + 766*q/3 - 146689/3 = 0?
383
Determine y so that -500*y**5 + 11525*y**4 - 22230*y**3 + 15005*y**2 - 4220*y + 420 = 0.
1/4, 2/5, 1, 21
Factor -3*b**2 - 120*b + 675.
-3*(b - 5)*(b + 45)
Let i**3/5 + 694*i**2/5 - 1391*i/5 + 696/5 = 0. Calculate i.
-696, 1
Factor 3*z**4/5 - 186*z**3/5 + 612*z**2 - 1080*z.
3*z*(z - 30)**2*(z - 2)/5
Factor -q**4 + 7*q**3 - 15*q**2 + 9*q.
-q*(q - 3)**2*(q - 1)
What is l in -14451*l**2/8 - 3612*l + 3/2 = 0?
-2, 2/4817
Let -5*r**2 - 5*r + 10 = 0. What is r?
-2, 1
Solve -k**3/5 + 7*k**2/5 - 6*k/5 = 0.
0, 1, 6
Solve 12*j**2/5 - 267*j/5 - 207/5 = 0.
-3/4, 23
Factor f**2 + 7*f + 6.
(f + 1)*(f + 6)
Let -2*u**5 - 116*u**4/7 + 444*u**3/7 + 248*u**2/7 - 430*u/7 - 132/7 = 0. What is u?
-11, -1, -2/7, 1, 3
Suppose -2*h**2/21 - 2060*h/7 + 6182/21 = 0. What is h?
-3091, 1
Factor -5*t**3 - 65*t**2 - 250*t - 280.
-5*(t + 2)*(t + 4)*(t + 7)
Factor 2*b**3 + 1102*b**2 - 2*b - 1