2
What is q in -7*q**5 - 33*q**4 + 129*q**3 + 113*q**2 - 42*q = 0?
-7, -1, 0, 2/7, 3
Find c, given that -3*c**5 - 366*c**4 + 384*c**3 + 1854*c**2 + 1107*c = 0.
-123, -1, 0, 3
Factor -2*h**3 - 36*h**2 + 42*h + 76.
-2*(h - 2)*(h + 1)*(h + 19)
Determine v so that 2*v**2/11 + 460*v/11 + 458/11 = 0.
-229, -1
Find o, given that 2*o**3 + 40*o**2 - 294*o + 468 = 0.
-26, 3
Factor 3*z**4 + 99*z**3/4 - 81*z**2/4.
3*z**2*(z + 9)*(4*z - 3)/4
Factor -p**4/6 - 25*p**3/3 - 144*p**2 - 2816*p/3 - 4096/3.
-(p + 2)*(p + 16)**3/6
Factor -4*p**3 - 6232*p**2 - 12452*p - 6224.
-4*(p + 1)**2*(p + 1556)
Determine r so that 3*r**4 - 942*r**3 + 72972*r**2 + 157368*r - 599136 = 0.
-4, 2, 158
Factor 2*v**3/3 - 262*v**2/3 - 1568*v.
2*v*(v - 147)*(v + 16)/3
Determine f, given that -4*f**3 + 76*f**2 + 600*f = 0.
-6, 0, 25
Suppose 1662*w**2 - 1617*w - 45 = 0. Calculate w.
-15/554, 1
Find w, given that -w**4 - 145*w**3 + w**2 + 145*w = 0.
-145, -1, 0, 1
Let -3*t**3/2 + 135*t**2/2 - 1701*t/2 + 3969/2 = 0. What is t?
3, 21
Factor -l**3/4 + 19*l**2/2 - 361*l/4.
-l*(l - 19)**2/4
Determine b so that 14*b**4 + 104*b**3 + 28*b**2 - 104*b - 42 = 0.
-7, -1, -3/7, 1
Factor 3*k**2/2 - 1680*k + 3354.
3*(k - 1118)*(k - 2)/2
Suppose 24*d**2 - 4*d - 60 = 0. What is d?
-3/2, 5/3
Factor -3*f**5/7 + 3*f**4 + 120*f**3/7 + 132*f**2/7.
-3*f**2*(f - 11)*(f + 2)**2/7
Let -c**4/5 + 6*c**3/5 = 0. Calculate c.
0, 6
Factor 5*p**5 - 25*p**4 + 5*p**3 + 85*p**2 - 110*p + 40.
5*(p - 4)*(p - 1)**3*(p + 2)
Factor 5*v**5 - 25*v**4 + 15*v**3 + 25*v**2 - 20*v.
5*v*(v - 4)*(v - 1)**2*(v + 1)
Factor -8*c**3 + 142*c**2 + 722*c + 572.
-2*(c - 22)*(c + 1)*(4*c + 13)
Solve 3*r**2/2 + 3417*r/2 - 3423 = 0 for r.
-1141, 2
Factor 3*m**2 + 90*m + 168.
3*(m + 2)*(m + 28)
Factor q**5 + 19*q**4 - 22*q**3 - 40*q**2.
q**2*(q - 2)*(q + 1)*(q + 20)
Factor -4*o**2/7 - 15756*o/7 + 15760/7.
-4*(o - 1)*(o + 3940)/7
Suppose 27*h**3/5 + 21*h**2/5 - 6*h/5 = 0. What is h?
-1, 0, 2/9
Determine a so that -3*a**4 - 42*a**3 - 180*a**2 - 246*a - 105 = 0.
-7, -5, -1
Determine p, given that -2*p**3 + 54*p**2 - 336*p - 392 = 0.
-1, 14
Factor x**4 + 3*x**3 - 9*x**2 - 23*x - 12.
(x - 3)*(x + 1)**2*(x + 4)
Determine f, given that -5*f**3 + 220*f**2 + 5*f - 220 = 0.
-1, 1, 44
Solve -g**2/4 + 11*g/4 - 5/2 = 0.
1, 10
Factor -v**2/3 + 25*v/3 - 8.
-(v - 24)*(v - 1)/3
Suppose 2*a**4/11 - 56*a**3/11 + 18*a**2 - 144*a/11 = 0. Calculate a.
0, 1, 3, 24
Factor 4*i**2 - 1376*i - 4164.
4*(i - 347)*(i + 3)
Let u**2/10 - 9*u/2 - 47/5 = 0. What is u?
-2, 47
Factor 4*w**3 - 5156*w**2 - 4*w + 5156.
4*(w - 1289)*(w - 1)*(w + 1)
Determine q so that -5*q**4 + 205*q**3 - 395*q**2 + 195*q = 0.
0, 1, 39
Determine r so that -8*r**5/3 - 46*r**4/3 + 100*r**3/3 + 458*r**2/3 - 920*r/3 + 200/3 = 0.
-5, 1/4, 2
Factor -w**3/3 + w**2/3 + 64*w/3 - 64/3.
-(w - 8)*(w - 1)*(w + 8)/3
Find o such that o**2/7 + 537*o/7 + 536/7 = 0.
-536, -1
Factor 2*b**4 - 4972*b**3 + 3090098*b**2.
2*b**2*(b - 1243)**2
Factor -722*i**2/5 - 76*i/5 - 2/5.
-2*(19*i + 1)**2/5
Factor 3*x**2 - 552*x + 6669.
3*(x - 171)*(x - 13)
Factor -2*h**4 - 24*h**3 - 42*h**2 - 20*h.
-2*h*(h + 1)**2*(h + 10)
What is f in -f**5/4 + 7*f**4/4 - 9*f**3/2 + 5*f**2 - 2*f = 0?
0, 1, 2
Solve -2*i**2/9 + 220*i/9 - 6050/9 = 0.
55
Factor g**4/3 + 6*g**3 + 59*g**2/3 - 26*g.
g*(g - 1)*(g + 6)*(g + 13)/3
Determine k so that -22*k**2 + 188*k + 210 = 0.
-1, 105/11
Suppose o**4/3 - 95*o**3/3 + 458*o**2/3 - 724*o/3 + 120 = 0. Calculate o.
1, 2, 90
Factor h**3/4 - 681*h**2/4 + 154587*h/4 - 11697083/4.
(h - 227)**3/4
Factor -l**4/4 + 3*l**2 - 4*l.
-l*(l - 2)**2*(l + 4)/4
Find x, given that -x**3/5 + x**2 - 2*x/5 - 8/5 = 0.
-1, 2, 4
Solve -4*h**5/3 - 28*h**4 + 220*h**3 + 260*h**2/3 - 592*h - 432 = 0.
-27, -1, 2, 6
Suppose -15*k**2/4 - 63*k/4 + 39/2 = 0. Calculate k.
-26/5, 1
Suppose 2*q**3/15 + 14*q**2/15 + 8*q/5 = 0. What is q?
-4, -3, 0
Factor 11*t**3/4 - 35*t**2/4 + 7*t - 1.
(t - 2)*(t - 1)*(11*t - 2)/4
Factor -a**3/5 + a**2 + 17*a/5 - 21/5.
-(a - 7)*(a - 1)*(a + 3)/5
Determine p so that -2*p**3/11 - 14*p**2/11 - 2*p - 10/11 = 0.
-5, -1
Factor 4*a**3/3 + 284*a**2/3 + 824*a/3 + 544/3.
4*(a + 1)*(a + 2)*(a + 68)/3
Solve k**3/8 + 55*k**2/8 + 104*k + 507/2 = 0 for k.
-26, -3
Factor 3*k**3/2 - 411*k**2/2 + 405*k.
3*k*(k - 135)*(k - 2)/2
Factor -7*x**3/2 - x**2 + 43*x/2 + 19.
-(x + 1)*(x + 2)*(7*x - 19)/2
Find f such that f**4 + 7*f**3 - 17*f**2 + 9*f = 0.
-9, 0, 1
Suppose h**3 - 3*h**2 - 54*h + 112 = 0. Calculate h.
-7, 2, 8
Find c, given that -10*c**4 + 237*c**3 - 368*c**2 - 132*c = 0.
-3/10, 0, 2, 22
Find x, given that -2*x**3/7 - 20*x**2/7 - 18*x/7 = 0.
-9, -1, 0
Factor 3*p**2/7 + 45*p/7 - 54.
3*(p - 6)*(p + 21)/7
Factor 3*r**2 - 63*r - 300.
3*(r - 25)*(r + 4)
Factor -5*q**3 - 5*q**2 + 80*q + 80.
-5*(q - 4)*(q + 1)*(q + 4)
Factor g**5 + g**4 - 2*g**3 - 2*g**2 + g + 1.
(g - 1)**2*(g + 1)**3
Factor -5*b**4 - 95*b**3 - 495*b**2 - 405*b.
-5*b*(b + 1)*(b + 9)**2
Factor t**4 + 112*t**3 + 522*t**2 - 1384*t + 749.
(t - 1)**2*(t + 7)*(t + 107)
Factor 5*v**2 - 23300*v + 27144500.
5*(v - 2330)**2
Let -3*p**2/4 - 18*p - 285/4 = 0. Calculate p.
-19, -5
Factor 20*o**3/3 + 39*o**2 + 52*o + 32/3.
(o + 4)*(4*o + 1)*(5*o + 8)/3
Factor -3*p**3 - 999*p**2 + 1002*p.
-3*p*(p - 1)*(p + 334)
Suppose 2*m**5/7 + 88*m**4/7 - 186*m**3/7 - 88*m**2/7 + 184*m/7 = 0. What is m?
-46, -1, 0, 1, 2
Suppose -2*p**4/3 - 2*p**3 + 2*p**2 + 22*p/3 + 4 = 0. Calculate p.
-3, -1, 2
Solve 2*t**2 - 30*t + 28 = 0.
1, 14
Factor -3*r**3/5 - 321*r**2/5 - 10488*r/5 - 19044.
-3*(r + 15)*(r + 46)**2/5
Determine c, given that 2*c**3 - 82*c**2 + 480*c + 8064 = 0.
-7, 24
Solve 4*g**4/7 + 12*g**3/7 = 0 for g.
-3, 0
Factor 2*j**2 - 268*j + 8978.
2*(j - 67)**2
Suppose -3*o**3/7 - 75*o**2/7 + 543*o/7 - 465/7 = 0. What is o?
-31, 1, 5
Factor -3*a**4/2 + 12*a**3 - 57*a**2/2 + 18*a.
-3*a*(a - 4)*(a - 3)*(a - 1)/2
Suppose -4*r**5 - 10*r**4 + 48*r**3 + 178*r**2 + 172*r + 48 = 0. Calculate r.
-3, -2, -1, -1/2, 4
Factor -35*d**3 - 1775*d**2 + 4220*d - 1060.
-5*(d - 2)*(d + 53)*(7*d - 2)
Factor 4*l**4/7 - 12*l**2/7 - 8*l/7.
4*l*(l - 2)*(l + 1)**2/7
Suppose -3*n**5/2 + 24*n**4 - 267*n**3/2 + 309*n**2 - 306*n + 108 = 0. What is n?
1, 2, 6
Let 5*p**4 + 70*p**3 - 255*p**2 = 0. What is p?
-17, 0, 3
Solve 5*x**2 + 175*x - 6670 = 0 for x.
-58, 23
Solve -x**5 - 28*x**4/3 - 27*x**3 - 24*x**2 - 16*x/3 = 0 for x.
-4, -1, -1/3, 0
Factor 8450*d**2 - 780*d + 18.
2*(65*d - 3)**2
Factor 2*a**3/11 - 20*a**2/11 - 142*a/11 - 120/11.
2*(a - 15)*(a + 1)*(a + 4)/11
Determine d so that 10*d**3/3 - 868*d**2/3 - 58*d = 0.
-1/5, 0, 87
Let 9*x**5 + 78*x**4 + 246*x**3 + 348*x**2 + 225*x + 54 = 0. Calculate x.
-3, -1, -2/3
Suppose 2*i**2 + 126*i + 1960 = 0. Calculate i.
-35, -28
Factor 4*i**4 - 240*i**3 + 3600*i**2.
4*i**2*(i - 30)**2
Solve -2*i**4/3 - 32*i**3/3 + 36*i**2 - 112*i/3 + 38/3 = 0 for i.
-19, 1
Solve -4*l**3/5 - 60*l**2 + 304*l/5 = 0 for l.
-76, 0, 1
Factor 4*c**5 - 44*c**3 + 72*c**2 - 32*c.
4*c*(c - 2)*(c - 1)**2*(c + 4)
Factor s**2/5 + 27*s/5.
s*(s + 27)/5
Let 3*a**3/8 + 18*a**2 + 288*a + 1536 = 0. Calculate a.
-16
Factor 34*q**2 - 138*q + 108.
2*(q - 3)*(17*q - 18)
Suppose -5*r**5/3 + 35*r**4/3 - 55*r**3/3 + 25*r**2/3 = 0. What is r?
0, 1, 5
Determine a so that a**4 - 9*a**3 + 24*a**2 - 16*a = 0.
0, 1, 4
Factor -2*q**2/9 - 52*q/9 - 50/9.
-2*(q + 1)*(q + 25)/9
Determine o, given that 9*o**3/4 + 15*o**2/8 - 3*o/8 = 0.
-1, 0, 1/6
Solve -3*h**4 + 912*h**3 - 103968*h**2 + 5267712*h - 100086528 = 0 for h.
76
Determine q, given that q**3/3 - 5*q**2/3 - 8*q/3 + 16 = 0.
-3, 4
Factor -j**3/3 + j**2/3 + 5*j/3 + 1.
-(j - 3)*(j + 1)**2/3
Determine r, given that -3*r**3/5 - 1737*r**2/5 + 348*r = 0.
-580, 0, 1
Solve -3*i**2/2 + 699*i - 162867/2 = 0.
233
Let 5*d**3 - 355*d**2 - 770*d + 2920 = 0. What is d?
-4, 2, 73
What is j in 2*j**5 + 2*j**4 - 14*j**3 - 2*j**2 + 12*j = 0?
-3, -1, 0, 1, 2
Factor 2*o**2/7 - 38*o/7 + 36/7.
2*(o - 18)*(o - 1)/7
Suppose 4*k**2/7 + 2080*k/7 - 2084/7 = 0. Calculate k.
-521, 1
Factor -18*p**3 + 3174*p**2 - 141494*p + 138338.
-2*(p - 1)*(3*p - 263)**2
Find c, given that -363*c**2 + 9834*c - 66603 = 0.
149/11
Suppose -5*f**5 - 745*f**4 - 27370*f**3 + 28870*f**2 + 27375*f - 28125 = 0. Calculate f.
-75, -1, 1
Factor -s**2/6 - 10*s + 61/6.
-(s - 1)*(s + 61)/6
Factor n**5/8 - 45*n**4/8 - 241*n**3/8 - 443*n**2/8 -