(q - 6)*(q - 1)*(q + 31)/8
Suppose 2*f**5 - 26*f**4 - 100*f**3 + 1044*f**2 + 5346*f + 6534 = 0. What is f?
-3, 11
Solve 5*z**3 + 15*z**2 - 45*z + 25 = 0.
-5, 1
Let -3*f**2 - 489*f + 492 = 0. What is f?
-164, 1
What is r in -5*r**2 + 220*r - 1140 = 0?
6, 38
Factor 4*v**3 - 140*v**2 - 644*v + 780.
4*(v - 39)*(v - 1)*(v + 5)
Factor -3*g**4 + 21*g**3 - 27*g**2 - 81*g + 162.
-3*(g - 3)**3*(g + 2)
Suppose 3*g**3 + 846*g**2 + 79524*g + 2491752 = 0. Calculate g.
-94
Find r, given that 98*r**3/5 - 30758*r**2/5 + 5262*r - 5634/5 = 0.
3/7, 313
Factor d**2/3 + 491*d/3 - 164.
(d - 1)*(d + 492)/3
Determine d so that -2*d**3 - 4276*d**2 - 8546*d - 4272 = 0.
-2136, -1
Let -4*x**5 - 116*x**4 - 1160*x**3 - 4744*x**2 - 8052*x - 4356 = 0. Calculate x.
-11, -3, -1
Suppose -2*f**5/19 - 62*f**4/19 - 560*f**3/19 - 1168*f**2/19 + 224*f/19 + 1568/19 = 0. Calculate f.
-14, -2, 1
Suppose -2*z**3 - 746*z**2 - 69936*z - 69192 = 0. Calculate z.
-186, -1
Factor -h**2/4 - 70*h - 4900.
-(h + 140)**2/4
Factor -5*g**3 - 105*g**2 + 6860.
-5*(g - 7)*(g + 14)**2
Factor c**4 - 6*c**3 - 24*c**2 - 26*c - 9.
(c - 9)*(c + 1)**3
Determine g so that g**5/5 - 24*g**4/5 + 73*g**3/5 + 582*g**2/5 + 844*g/5 + 72 = 0.
-2, -1, 10, 18
Suppose -5*f**2 - 20125*f - 20120 = 0. What is f?
-4024, -1
Suppose 5*o**4 - 50*o**3 - 115*o**2 - 60*o = 0. What is o?
-1, 0, 12
What is m in -3*m**5 + 6*m**4 + 72*m**3 - 150*m**2 + 75*m = 0?
-5, 0, 1, 5
Find d, given that -4*d**4 + 8*d**3 + 64*d**2 - 128*d = 0.
-4, 0, 2, 4
Factor 5*u**2/4 - 59*u/2 - 12.
(u - 24)*(5*u + 2)/4
Let 9*m**5/4 - 185*m**4/4 + 563*m**3/2 - 771*m**2/2 - 1647*m/4 + 1215/4 = 0. What is m?
-1, 5/9, 3, 9
What is g in 5*g**2 + 3030*g + 459045 = 0?
-303
Suppose 2*r**3/7 - 36*r**2/7 - 122*r/7 - 12 = 0. Calculate r.
-2, -1, 21
Factor -2*k**3 - 112*k**2/3 - 24*k.
-2*k*(k + 18)*(3*k + 2)/3
Factor k**2/3 - 8*k/3 + 5.
(k - 5)*(k - 3)/3
Solve 2*m**2 - 270*m - 3848 = 0 for m.
-13, 148
Factor 3*t**4 - 24*t**3 + 66*t**2 - 72*t + 27.
3*(t - 3)**2*(t - 1)**2
Let 2*b**2 - 2054*b + 4100 = 0. Calculate b.
2, 1025
Factor 2*g**4/7 - 18*g**3/7 - 16*g**2 + 1152*g/7 - 1024/7.
2*(g - 8)**2*(g - 1)*(g + 8)/7
Factor -7*d**2/4 - 247*d/4 - 35/2.
-(d + 35)*(7*d + 2)/4
Determine w so that 3*w**3/2 + 183*w**2/2 + 348*w + 342 = 0.
-57, -2
Factor 36*w**3 + 1876*w**2 + 208*w.
4*w*(w + 52)*(9*w + 1)
Determine j so that -25*j**4/2 - 430*j**3 - 2665*j**2/2 - 465*j = 0.
-31, -3, -2/5, 0
Factor 2*o**2/5 + 8*o/5 - 792/5.
2*(o - 18)*(o + 22)/5
Suppose -15*h**3 - 5*h**2 + 15*h + 5 = 0. Calculate h.
-1, -1/3, 1
Factor i**3 - 14*i**2 - 15*i.
i*(i - 15)*(i + 1)
Factor 5*o**2/2 + 65*o/2 - 285.
5*(o - 6)*(o + 19)/2
Factor 4*u**2 + 88*u + 228.
4*(u + 3)*(u + 19)
Solve h**3 - 21*h**2 + 119*h - 99 = 0 for h.
1, 9, 11
Solve w**2/5 + 82*w + 8405 = 0 for w.
-205
Factor -j**4/3 + 3*j**3 - 29*j**2/3 + 13*j - 6.
-(j - 3)**2*(j - 2)*(j - 1)/3
Factor x**3 - 49*x**2 + 48*x.
x*(x - 48)*(x - 1)
Factor -4*p**4/7 - 16*p**3/7 - 20*p**2/7 - 8*p/7.
-4*p*(p + 1)**2*(p + 2)/7
Find f such that 4*f**5 - 8*f**4 + 8*f**2 - 4*f = 0.
-1, 0, 1
Solve -5*k**3 - 20*k**2 + 60*k = 0.
-6, 0, 2
Find w, given that 3*w**4 - 24*w**3 - 90*w**2 + 672*w + 735 = 0.
-5, -1, 7
Factor 24*m**2 - 8468*m - 1412.
4*(m - 353)*(6*m + 1)
Factor k**4/3 - k**3 + 2*k**2/3.
k**2*(k - 2)*(k - 1)/3
What is b in -5*b**2/3 - 80*b + 2880 = 0?
-72, 24
Let 63*c**4 - 15*c**3 - 18*c**2 = 0. Calculate c.
-3/7, 0, 2/3
Factor -x**4 - 124*x**3 - 3844*x**2.
-x**2*(x + 62)**2
Suppose 3*l**4 - 795*l**3 + 3924*l**2 - 6252*l + 3120 = 0. What is l?
1, 2, 260
Find m, given that 2*m**5/11 + 2*m**4/11 - 18*m**3/11 + 2*m**2 - 8*m/11 = 0.
-4, 0, 1
Find f, given that -5*f**4 - 10*f**3 + 40*f**2 = 0.
-4, 0, 2
Factor -5*l**2 - 3660*l.
-5*l*(l + 732)
Factor p**3/3 + 5*p**2/6 + p/2.
p*(p + 1)*(2*p + 3)/6
Find b, given that 16*b**5/7 + 296*b**4/7 + 1537*b**3/7 + 262*b**2 + 647*b/7 + 10 = 0.
-10, -7, -1, -1/4
Factor -2*b**2/3 - 3316*b/3 - 1374482/3.
-2*(b + 829)**2/3
Suppose 592*g**3/3 + 136*g**2/3 - g = 0. Calculate g.
-1/4, 0, 3/148
Factor 2*o**2/7 - 2250*o/7 + 2248/7.
2*(o - 1124)*(o - 1)/7
Suppose 5*z**4 + 140*z**3 - 220*z**2 - 16800*z + 72000 = 0. What is z?
-20, 6
Find p, given that -2*p**2/7 - 8534*p/7 = 0.
-4267, 0
Factor -25*r**3 - 140*r**2 + 60*r.
-5*r*(r + 6)*(5*r - 2)
Suppose n**3/8 + 39*n**2/8 - 177*n/8 - 215/8 = 0. Calculate n.
-43, -1, 5
Find i such that 2*i**4 - 40*i**3 + 148*i**2 + 40*i - 150 = 0.
-1, 1, 5, 15
Let 3*q**2/7 + 1083*q/7 - 468 = 0. Calculate q.
-364, 3
Find h such that -15*h**3/2 + 185*h**2/2 - 205*h - 180 = 0.
-2/3, 4, 9
Solve -10*o**5/3 - 385*o**4/6 + 3245*o**3/6 - 6785*o**2/6 + 925*o/2 + 195 = 0.
-26, -1/4, 1, 3
Solve o**3 + 25*o**2 + 47*o + 23 = 0.
-23, -1
Factor -25*q**5/3 - 170*q**4/3 - 349*q**3/3 - 68*q**2 - 12*q.
-q*(q + 3)**2*(5*q + 2)**2/3
Factor 5*c**2 + 350*c + 6125.
5*(c + 35)**2
Factor d**4 - 4*d**3 + 5*d**2 - 2*d.
d*(d - 2)*(d - 1)**2
Let -4*f**5 + 24*f**4 + 272*f**3 - 864*f**2 - 5632*f - 6144 = 0. What is f?
-6, -2, 8
Factor 4*d**2 - 2304*d + 331776.
4*(d - 288)**2
Determine n so that -12*n**5 + 177*n**4 + 453*n**3 + 102*n**2 = 0.
-2, -1/4, 0, 17
Suppose -g**3 + 2*g**2 + 13*g + 10 = 0. What is g?
-2, -1, 5
Factor 5*f**4 - 45*f**3 + 105*f**2 - 95*f + 30.
5*(f - 6)*(f - 1)**3
What is t in 15*t**3 - 1505*t**2 + 38000*t - 12500 = 0?
1/3, 50
Determine o, given that 4*o**5 - 68*o**4 + 320*o**3 - 256*o**2 = 0.
0, 1, 8
Factor -4*w**4/7 + 48*w**3 - 6712*w**2/7 - 2064*w - 7396/7.
-4*(w - 43)**2*(w + 1)**2/7
Factor -2*a**4 + 20*a**3 + 256*a**2 + 576*a.
-2*a*(a - 18)*(a + 4)**2
Let -3*b**5 + 135*b**4 + 144*b**3 - 276*b**2 = 0. Calculate b.
-2, 0, 1, 46
Factor 2*w**3/3 - 392*w**2 + 76832*w - 15059072/3.
2*(w - 196)**3/3
Let -3*n**4/2 + 123*n**3/2 - 117*n**2 = 0. What is n?
0, 2, 39
Factor -125*l**3 - 1900*l**2 + 1580*l - 320.
-5*(l + 16)*(5*l - 2)**2
Let -q**4 - 275*q**3 - 819*q**2 - 817*q - 272 = 0. What is q?
-272, -1
Factor -2*b**4/7 + 68*b**3/7 + 456*b**2/7 + 944*b/7 + 640/7.
-2*(b - 40)*(b + 2)**3/7
Factor -w**3/6 + w**2/2 + 2*w/3 - 2.
-(w - 3)*(w - 2)*(w + 2)/6
Find o such that o**4/5 - 2*o**2 + 9/5 = 0.
-3, -1, 1, 3
Factor 3*g**2 - 315*g - 2352.
3*(g - 112)*(g + 7)
Factor l**4 - 15*l**3 - 16*l**2.
l**2*(l - 16)*(l + 1)
Let 10*r**4/7 + 44*r**3/7 - 24*r**2/7 - 176*r/7 - 64/7 = 0. Calculate r.
-4, -2, -2/5, 2
Factor -2*c**4/5 + 34*c**3/5 + 74*c**2/5 + 38*c/5.
-2*c*(c - 19)*(c + 1)**2/5
Find d such that d**3 + 24*d**2 = 0.
-24, 0
Factor -2*h**4/7 + 16*h**3/7 + 38*h**2/7 + 20*h/7.
-2*h*(h - 10)*(h + 1)**2/7
Let -128*p**5/3 + 3488*p**4/3 - 1398*p**3 + 886*p**2/3 - 52*p/3 = 0. Calculate p.
0, 1/8, 1, 26
Factor 2*t**4/5 + 256*t**3/5 + 8444*t**2/5 + 16128*t/5 + 7938/5.
2*(t + 1)**2*(t + 63)**2/5
Determine k so that -11*k**4 - 25*k**3 - 17*k**2 - 3*k = 0.
-1, -3/11, 0
Solve -3*j**2 - 12*j + 576 = 0.
-16, 12
Factor 34*q**2/3 + 106*q/3 + 4.
2*(q + 3)*(17*q + 2)/3
Factor -v**4/4 + 45*v**3/4 - 481*v**2/4 - 621*v/4 + 529/2.
-(v - 23)**2*(v - 1)*(v + 2)/4
Solve -2*a**2 + 248*a - 488 = 0.
2, 122
Determine v, given that -2*v**2/15 + 42*v/5 - 124/15 = 0.
1, 62
Solve 3*r**3/7 - 51*r**2/7 + 132*r/7 - 12 = 0.
1, 2, 14
Factor o**3/5 + 79*o**2/5 + 1624*o/5 + 9996/5.
(o + 14)**2*(o + 51)/5
Factor 4*f**4 + 88*f**3 + 464*f**2 + 680*f + 300.
4*(f + 1)**2*(f + 5)*(f + 15)
Solve -2*n**4/5 - 2*n**3/5 + 34*n**2/5 - 6*n = 0 for n.
-5, 0, 1, 3
Suppose -b**2/3 - 14*b/3 + 32/3 = 0. What is b?
-16, 2
Determine x so that -3*x**2 + 2274*x - 6795 = 0.
3, 755
What is a in -3*a**3 - 465*a**2 - 17784*a + 18252 = 0?
-78, 1
Solve 17*u**4 - 33*u**3 - 359*u**2 - 327*u - 18 = 0.
-3, -1, -1/17, 6
Solve -o**5/8 - 99*o**4/4 + 50*o**3 = 0.
-200, 0, 2
Solve -4*l**2 - 472*l = 0.
-118, 0
Factor 2*a**4/19 - 8*a**3/19 - 6*a**2/19 + 36*a/19.
2*a*(a - 3)**2*(a + 2)/19
Determine v, given that 2*v**3/13 + 22*v**2/13 + 80*v/13 + 96/13 = 0.
-4, -3
Solve -3*g**4/2 + 375*g**3/2 = 0.
0, 125
What is f in -2*f**5/3 + 8*f**4/3 + 16*f**3/3 - 28*f**2/3 - 14*f/3 + 20/3 = 0?
-2, -1, 1, 5
Factor -5*t**2 + 5090*t - 1295405.
-5*(t - 509)**2
Determine p so that 5*p**5 - 40*p**4 + 105*p**3 - 90*p**2 = 0.
0, 2, 3
Factor -3*c**3/2 - 271*c**2/2 - 45*c.
-c*(c + 90)*(3*c + 1)/2
Solve d**4/5 - 31*d**3/5 + 222*d**2/5 + 64*d - 512/5 = 0.
-2, 1, 16
Find w, given that -2*w**3 - 152*w**2 + 482*w + 632 = 0.
-79, -1, 4
S