hat -q**4/4 + q**3/2 + 19*q**2/4 - 17*q + 15 = 0.
-5, 2, 3
What is h in -h**3/5 - 10*h**2 - 543*h/5 + 594/5 = 0?
-33, -18, 1
Suppose -t**2/4 + t/2 + 63/4 = 0. What is t?
-7, 9
Suppose -a**5/2 + 11*a**4 - 149*a**3/2 + 190*a**2 - 198*a + 72 = 0. What is a?
1, 2, 6, 12
Determine k, given that -25*k**5 - 120*k**4 - 205*k**3 - 150*k**2 - 40*k = 0.
-2, -1, -4/5, 0
What is w in -8*w**5 - 52*w**4 + 40*w**3 + 800*w**2 + 1408*w + 512 = 0?
-4, -2, -1/2, 4
Factor -5*t**2 + 85*t - 300.
-5*(t - 12)*(t - 5)
Factor 3*u**2 - 1035*u + 4092.
3*(u - 341)*(u - 4)
Factor 3*j**2/4 - 45*j/4 - 75.
3*(j - 20)*(j + 5)/4
Determine u so that -u**3/3 + u**2/3 + 3*u - 3 = 0.
-3, 1, 3
Let 5*p**5 - 70*p**4 - 95*p**3 + 280*p**2 + 300*p = 0. Calculate p.
-2, -1, 0, 2, 15
Factor -3*y**3 + 81*y**2 + 2430*y.
-3*y*(y - 45)*(y + 18)
Factor -2*t**4 + 288*t**3 - 14100*t**2 + 247408*t - 622938.
-2*(t - 47)**3*(t - 3)
Factor w**2/3 - 8*w/3 + 5.
(w - 5)*(w - 3)/3
Suppose -h**5 - 315*h**4 - 35355*h**3 - 1632025*h**2 - 25968840*h - 131424912 = 0. Calculate h.
-97, -12
Find p, given that -5*p**5 + 100*p**4 - 310*p**3 - 220*p**2 + 915*p + 720 = 0.
-1, 3, 16
Solve -573*a**3/2 - 3*a**2 + 573*a/2 + 3 = 0.
-1, -2/191, 1
Find c such that -c**2/8 - 3*c/2 + 13/8 = 0.
-13, 1
Factor 2*o**2/9 - 52*o/9.
2*o*(o - 26)/9
Find t, given that 16*t**5/7 + 144*t**4/7 - 44*t**3/7 - 432*t**2/7 - 332*t/7 - 72/7 = 0.
-9, -1, -1/2, 2
Suppose 12*x**3 + 3267*x**2 + 7296*x + 1620 = 0. What is x?
-270, -2, -1/4
Factor -6*j**2 + 99*j - 174.
-3*(j - 2)*(2*j - 29)
Find d, given that -6*d**3/13 + 58*d**2/13 + 102*d/13 - 154/13 = 0.
-7/3, 1, 11
Factor -m**2/3 - 31*m + 96.
-(m - 3)*(m + 96)/3
Factor -y**2/3 - 56*y - 2352.
-(y + 84)**2/3
Factor 2*d**2/15 + 3398*d/15 + 6788/15.
2*(d + 2)*(d + 1697)/15
Factor 2*x**2/11 - 610*x/11 + 608/11.
2*(x - 304)*(x - 1)/11
Factor 2*n**2/7 - 176*n/7 + 3872/7.
2*(n - 44)**2/7
Let -2*v**2/11 + 36*v/11 - 162/11 = 0. What is v?
9
Factor -5*u**2 + 4690*u - 1099805.
-5*(u - 469)**2
Find n such that 3*n**5/5 - 201*n**4/5 + 3264*n**3/5 + 3468*n**2/5 = 0.
-1, 0, 34
Factor 5*k**3/3 + 1465*k**2 + 8770*k/3.
5*k*(k + 2)*(k + 877)/3
Find z, given that 3*z**2 - 69*z + 360 = 0.
8, 15
Suppose 3*y**2/5 + 27*y/5 - 6 = 0. Calculate y.
-10, 1
Solve -624*o**3 + 3*o**2/4 + 624*o - 3/4 = 0 for o.
-1, 1/832, 1
Factor m**4/4 + 351*m**3/4 + 30267*m**2/4 - 93987*m/4.
m*(m - 3)*(m + 177)**2/4
Find x such that -35*x**2 - 190*x + 120 = 0.
-6, 4/7
Find c such that -10*c**3 + 685*c**2 + 345*c = 0.
-1/2, 0, 69
Let -35*g**2 - 1755*g - 4950 = 0. Calculate g.
-330/7, -3
Factor -u**3/2 - 77*u**2/2 - 151*u/2 - 75/2.
-(u + 1)**2*(u + 75)/2
Find z such that 4*z**5 + 148*z**4 + 1132*z**3 - 4324*z**2 + 4640*z - 1600 = 0.
-20, 1
Suppose -3*p**4/5 + 11064*p**3/5 - 2718792*p**2 + 1111073760*p + 2233040400 = 0. What is p?
-2, 1230
Solve 2*r**2/9 + 10*r/3 - 368/9 = 0 for r.
-23, 8
Find c such that 2*c**3/9 + 268*c**2 + 107736*c + 14436624 = 0.
-402
Let 5*u**3 - 320*u**2 - 5*u + 320 = 0. What is u?
-1, 1, 64
Factor -4*h**3 + 4*h**2.
-4*h**2*(h - 1)
Factor 2*y**2/11 + 570*y/11 - 1728/11.
2*(y - 3)*(y + 288)/11
Let -s**4/9 - 7*s**3/9 - 5*s**2/3 - s = 0. Calculate s.
-3, -1, 0
Factor 3*n**4 - 27*n**2 - 12*n + 36.
3*(n - 3)*(n - 1)*(n + 2)**2
Suppose -2*r**4/3 + 20*r**3/3 - 32*r**2/3 = 0. Calculate r.
0, 2, 8
Determine g so that -4*g**4 - 104*g**3 - 276*g**2 = 0.
-23, -3, 0
Let -3*c**5 + 36*c**4 - 96*c**3 - 114*c**2 + 387*c - 210 = 0. Calculate c.
-2, 1, 5, 7
Find r such that 2*r**5/3 - 28*r**4/9 + 46*r**3/9 - 32*r**2/9 + 8*r/9 = 0.
0, 2/3, 1, 2
Let 2*m**5/3 - 82*m**4/3 + 1022*m**3/3 - 1250*m**2 + 1584*m - 648 = 0. What is m?
1, 3, 18
Solve -5*r**2 + 65*r - 200 = 0 for r.
5, 8
Let 3*k**3/2 - 393*k**2/2 + 13065*k/2 - 12675/2 = 0. Calculate k.
1, 65
Factor o**2/2 + 85*o/2.
o*(o + 85)/2
Factor -4*c**3/5 + 4*c/5.
-4*c*(c - 1)*(c + 1)/5
Factor 5*z**4 + 1020*z**3 + 56870*z**2 + 494700*z + 1176125.
5*(z + 5)**2*(z + 97)**2
Let 2*v**4/11 + 8542*v**3/11 + 25614*v**2/11 + 25610*v/11 + 776 = 0. Calculate v.
-4268, -1
Factor 4*p**3/13 - 146*p**2/13 + 1368*p/13 - 648/13.
2*(p - 18)**2*(2*p - 1)/13
Determine x so that -2*x**4 + 2166*x**3 + 2*x**2 - 2166*x = 0.
-1, 0, 1, 1083
Let a**5 - 42*a**4 + 29*a**3 + 492*a**2 = 0. Calculate a.
-3, 0, 4, 41
Factor -p**3/4 + 7*p**2/2 - 10*p.
-p*(p - 10)*(p - 4)/4
Let -j**3/4 + 653*j**2/2 - 3911*j/4 + 1303/2 = 0. Calculate j.
1, 2, 1303
Determine m, given that -3*m**5/5 - 3*m**4/5 + 84*m**3/5 - 12*m**2 - 144*m/5 = 0.
-6, -1, 0, 2, 4
Let -x**4 + 937*x**3/11 + 1733*x**2/11 + 611*x/11 - 174/11 = 0. What is x?
-1, 2/11, 87
Solve 3*p**4 - 60*p**3 - 207*p**2 - 12*p + 276 = 0 for p.
-2, 1, 23
Let 4*g**3 - 84*g**2 + 380*g + 468 = 0. What is g?
-1, 9, 13
Factor -n**2/2 - 37*n/2 - 35.
-(n + 2)*(n + 35)/2
Solve 3*g**4/5 + 21*g**3/5 + 51*g**2/5 + 51*g/5 + 18/5 = 0.
-3, -2, -1
Find s such that 3*s**5 - 81*s**4 - 261*s**3 - 267*s**2 - 90*s = 0.
-1, 0, 30
Solve -2*z**4/3 - 14*z**3 - 212*z**2/3 - 64*z + 448/3 = 0.
-14, -4, 1
Factor -12*y**3 - 124*y**2 - 272*y + 240.
-4*(y + 5)*(y + 6)*(3*y - 2)
Factor -16*u**2/3 + 1756*u/3 - 9568/3.
-4*(u - 104)*(4*u - 23)/3
Let 2*y**5/7 - 8*y**4/7 + 2*y**3/7 + 4*y**2 - 40*y/7 + 16/7 = 0. Calculate y.
-2, 1, 2
Determine z, given that 144*z**4 - 1928*z**3 + 729*z**2 - 12*z - 13 = 0.
-1/9, 1/4, 13
What is j in 5*j**3 - 160*j**2 + 1705*j - 6050 = 0?
10, 11
Factor 2*o**2 + 284*o + 282.
2*(o + 1)*(o + 141)
Determine s so that s**5/3 + 13*s**4/3 + 41*s**3/3 - 13*s**2/3 - 14*s = 0.
-7, -6, -1, 0, 1
What is s in -12*s**3 + 40*s**2 - 4*s - 24 = 0?
-2/3, 1, 3
Factor 2*w**2/5 - 12*w/5 + 2.
2*(w - 5)*(w - 1)/5
Suppose -80*q**5/7 - 1612*q**4/7 - 152*q**3/7 + 1772*q**2/7 + 232*q/7 - 160/7 = 0. Calculate q.
-20, -1, -2/5, 1/4, 1
Find g, given that 2*g**2/7 - 256*g/7 + 1230/7 = 0.
5, 123
Factor 4*h**2/3 + 28*h + 144.
4*(h + 9)*(h + 12)/3
Solve 2*z**3 + 48*z**2 + 330*z + 484 = 0 for z.
-11, -2
Factor 2*x**4/7 - 6*x**3/7 - 46*x**2/7 - 66*x/7 - 4.
2*(x - 7)*(x + 1)**2*(x + 2)/7
Factor 4*g**2 - 164*g - 168.
4*(g - 42)*(g + 1)
What is i in -3*i**5/2 + i**4/2 + 7*i**3 - 2*i**2 - 4*i = 0?
-2, -2/3, 0, 1, 2
Factor -3*a**4 - 27*a**3 + 441*a**2 - 789*a + 378.
-3*(a - 7)*(a - 1)**2*(a + 18)
Factor 2*w**4 - 3114*w**3 + 1616166*w**2 - 279596718*w.
2*w*(w - 519)**3
Factor -3*d**3/5 - 132*d**2/5 - 189*d.
-3*d*(d + 9)*(d + 35)/5
Solve -w**4/2 + 11*w**3 + 12*w**2 - 11*w - 23/2 = 0.
-1, 1, 23
Let 2*s**3 + 32*s**2 - 2*s - 32 = 0. What is s?
-16, -1, 1
Factor -r**4/9 - 44*r**3/9 - 185*r**2/3 - 1400*r/9 + 2000/9.
-(r - 1)*(r + 5)*(r + 20)**2/9
Factor f**5 - 9*f**4 + 22*f**3 - 32*f.
f*(f - 4)**2*(f - 2)*(f + 1)
Find d such that 8*d**3/3 - 182*d**2/3 + 130*d/3 + 44/3 = 0.
-1/4, 1, 22
Find b such that b**4 + 272*b**3 + 18766*b**2 + 36720*b + 18225 = 0.
-135, -1
Let l**5 - 19*l**4 + 113*l**3 - 161*l**2 - 438*l + 1008 = 0. Calculate l.
-2, 3, 7, 8
Find a such that 2*a**2/5 + 6*a + 28/5 = 0.
-14, -1
Suppose -3*y**3/4 - 17*y**2 - 355*y/4 + 63/2 = 0. Calculate y.
-14, -9, 1/3
Solve 3*z**3 - 18*z**2 = 0.
0, 6
Suppose 10*l**4 + 244*l**3 - 414*l**2 + 56*l + 104 = 0. Calculate l.
-26, -2/5, 1
Let 2*t**4/17 + 32*t**3/17 = 0. Calculate t.
-16, 0
Factor 10*o**4 - 105*o**3 + 140*o**2 - 45*o.
5*o*(o - 9)*(o - 1)*(2*o - 1)
Find d, given that -4*d**4 + 28*d**2 - 24*d = 0.
-3, 0, 1, 2
Suppose -5*p**5 - 30*p**4 - 30*p**3 + 80*p**2 + 75*p - 90 = 0. What is p?
-3, -2, 1
Factor 5*n**2 - 55*n + 150.
5*(n - 6)*(n - 5)
What is q in -3*q**4 + 30*q**3 + 36*q**2 - 30*q - 33 = 0?
-1, 1, 11
Factor 2*q**2/11 + 310*q/11 - 4008/11.
2*(q - 12)*(q + 167)/11
Determine x, given that -5*x**3 + 105*x**2 - 190*x = 0.
0, 2, 19
Factor -2*a**3/5 - 42*a**2/5 + 92*a/5.
-2*a*(a - 2)*(a + 23)/5
Factor 3*w**2/7 + 195*w/7 + 3168/7.
3*(w + 32)*(w + 33)/7
Determine w so that w**4/2 + w**3/2 - w**2/2 - w/2 = 0.
-1, 0, 1
Solve v**2/3 - 1874*v/3 + 877969/3 = 0 for v.
937
Solve -3*s**2 + 1068*s - 2124 = 0.
2, 354
What is t in 3*t**4/2 - 57*t**3 + 1191*t**2/2 - 1026*t + 486 = 0?
1, 18
Let 21*n**4 + 237*n**3 - 459*n**2 + 123*n + 78 = 0. What is n?
-13, -2/7, 1
Let -2*a**3 + 40*a**2 - 232*a + 320 = 0. What is a?
2, 8, 10
Factor -p**3/3 + 2*p**2 + 7*p/3.
-p*(p - 7)*(p + 1)/3
Factor -q**3/5 + 18*q**2/5 + 39*q/5 + 4.
-(q - 20)*(q + 1)**2/5
Factor 3*c**3/4 + 153*c**2/4 + 297*c/4 + 147/4.
3*(c + 1