r - 1)**3*(r + 4)/3
Factor -r**3/2 + 3*r**2 + 61*r/2 - 105.
-(r - 10)*(r - 3)*(r + 7)/2
Determine v, given that 2*v**4 + 20*v**3 + 32*v**2 = 0.
-8, -2, 0
Find v such that 2*v**4/9 + 26*v**3/9 - 362*v**2 + 40774*v/9 - 37544/9 = 0.
-52, 1, 19
Factor d**4/9 - 347*d**3/3 + 3116*d**2/9 - 692*d/3.
d*(d - 1038)*(d - 2)*(d - 1)/9
Factor 3*n**4/2 - 9*n**3/2 - 9*n**2/2 + 21*n/2 + 9.
3*(n - 3)*(n - 2)*(n + 1)**2/2
Factor 3*a**4 - 39*a**3 + 141*a**2 - 177*a + 72.
3*(a - 8)*(a - 3)*(a - 1)**2
What is t in -t**3 - 496*t**2 - 1972*t - 1968 = 0?
-492, -2
Find j such that -2*j**3/11 + 180*j**2/11 - 4050*j/11 = 0.
0, 45
Let -3*a**2 + 138*a + 141 = 0. Calculate a.
-1, 47
Factor -16*d**3 + 300*d**2 + 424*d - 480.
-4*(d - 20)*(d + 2)*(4*d - 3)
Factor k**2 - 646*k + 1288.
(k - 644)*(k - 2)
What is q in 2*q**3 + 46*q**2/17 - 192*q/17 - 72/17 = 0?
-3, -6/17, 2
Let -8*b**5/7 - 53*b**4/7 - 19*b**3/7 + 71*b**2/7 + 27*b/7 - 18/7 = 0. What is b?
-6, -1, 3/8, 1
Factor -2*j**2/3 + 52*j/3 + 128.
-2*(j - 32)*(j + 6)/3
Suppose -2*t**4 + 20*t**3 + 24*t**2 - 532*t + 490 = 0. Calculate t.
-5, 1, 7
Factor -k**4/3 + 65*k**3/3 - 304*k**2/3 + 80*k.
-k*(k - 60)*(k - 4)*(k - 1)/3
Factor 2*h**3/3 + 1046*h**2/3 + 348*h.
2*h*(h + 1)*(h + 522)/3
Find d such that 2*d**5/7 - 12*d**4/7 + 20*d**3/7 - 22*d/7 + 12/7 = 0.
-1, 1, 2, 3
Factor 12*j**3 - 304*j**2 + 388*j - 96.
4*(j - 24)*(j - 1)*(3*j - 1)
What is r in 6*r**4 + 18*r**3 - 21*r**2/2 - 72*r - 54 = 0?
-2, -3/2, 2
Determine j so that -2*j**5/5 - 14*j**4/5 - 16*j**3/5 + 32*j**2/5 = 0.
-4, 0, 1
Suppose y**2/4 + y/4 - 3/2 = 0. What is y?
-3, 2
Suppose -p**5 - 575*p**4 - 110016*p**3 - 6967296*p**2 + 7077888*p = 0. What is p?
-192, 0, 1
Factor 6*n**4 - 20*n**3 + 14*n**2 + 8*n - 8.
2*(n - 2)*(n - 1)**2*(3*n + 2)
Factor -3*u**3/2 + 819*u**2 - 223587*u/2.
-3*u*(u - 273)**2/2
Find p, given that -2*p**4 - 310*p**3 - 10668*p**2 - 138376*p - 620144 = 0.
-113, -14
Factor n**3/7 + 2*n**2/7 + n/7.
n*(n + 1)**2/7
Determine k, given that -k**4/4 - 14*k**3 - 519*k**2/4 + 1936*k - 1792 = 0.
-32, 1, 7
Suppose g**4 + 211*g**3 + 833*g**2 + 1037*g + 414 = 0. What is g?
-207, -2, -1
Find y, given that 9*y**4 + 605*y**3 + 12401*y**2 + 70847*y + 15138 = 0.
-29, -9, -2/9
Find s such that 4*s**2 + 1044*s - 1048 = 0.
-262, 1
Factor -3*b**3/2 + 6*b**2 - 9*b/2.
-3*b*(b - 3)*(b - 1)/2
Factor -2*b**3/17 - 64*b**2/17 - 570*b/17 - 900/17.
-2*(b + 2)*(b + 15)**2/17
Factor 5*s**4/2 - 10*s**3 + 25*s**2/2 - 5*s.
5*s*(s - 2)*(s - 1)**2/2
Let 2*l**4/7 + 10*l**3/7 - 762*l**2/7 + 1486*l/7 - 736/7 = 0. What is l?
-23, 1, 16
Factor -5*y**3 - 620*y**2 - 19220*y.
-5*y*(y + 62)**2
Determine d so that -d**2/3 + 49*d/3 = 0.
0, 49
Factor 6*h**3/5 + 49*h**2/5 + 124*h/5 + 20.
(h + 2)**2*(6*h + 25)/5
Factor -z**5/4 + 7*z**4/4 - 19*z**3/4 + 25*z**2/4 - 4*z + 1.
-(z - 2)**2*(z - 1)**3/4
Determine f so that -3*f**5/5 + 42*f**4/5 - 159*f**3/5 + 24*f**2 = 0.
0, 1, 5, 8
Factor 8*z**5/5 + 13*z**4 + 152*z**3/5 + 146*z**2/5 + 56*z/5 + 1.
(z + 1)**3*(z + 5)*(8*z + 1)/5
Factor 3*w**2 + 60*w + 57.
3*(w + 1)*(w + 19)
Let -35*r**4 + 620*r**3 - 1920*r**2 + 1360*r + 560 = 0. What is r?
-2/7, 2, 14
Factor 8*m**2 - 244*m + 560.
4*(m - 28)*(2*m - 5)
Suppose -2*a**5/3 - 14*a**4/3 - 26*a**3/3 + 2*a**2 + 12*a = 0. Calculate a.
-3, -2, 0, 1
Let -2*b**2/9 + 142*b/9 + 292/9 = 0. What is b?
-2, 73
Let 490*w**5/3 + 3878*w**4/9 + 1996*w**3/9 + 232*w**2/9 - 16*w/9 = 0. What is w?
-2, -2/5, -2/7, 0, 1/21
Factor -45*d**3 - 15*d**2 + 325*d + 375.
-5*(d - 3)*(3*d + 5)**2
Factor 110*v**3 + 204*v**2 + 78*v - 16.
2*(v + 1)**2*(55*v - 8)
Factor 4*y**4 + 216*y**3 + 3956*y**2 + 25776*y + 22032.
4*(y + 1)*(y + 17)*(y + 18)**2
Solve -2*q**4/5 - 6*q**3/5 + 8*q/5 = 0.
-2, 0, 1
Let -2*z**4/21 + 6*z**3/7 - 46*z**2/21 + 10*z/7 = 0. Calculate z.
0, 1, 3, 5
Find d, given that 2*d**3 - 90*d**2 - 2*d + 90 = 0.
-1, 1, 45
Factor -3*o**3 + 1725*o**2 - 245361*o - 751689.
-3*(o - 289)**2*(o + 3)
Solve -3*d**2 - 669*d - 1326 = 0.
-221, -2
Find s such that -s**4/6 - 9*s**3 + 113*s**2/6 + 9*s - 56/3 = 0.
-56, -1, 1, 2
What is q in -5*q**5 - 196*q**4/3 - 182*q**3/3 + 128*q**2/3 + 31*q - 12 = 0?
-12, -1, 1/3, 3/5
Solve 3*x**5 + 9*x**4 - 12*x**3 = 0.
-4, 0, 1
Factor -2*t**5 - 28*t**4 - 102*t**3 - 100*t**2 + 88*t + 144.
-2*(t - 1)*(t + 2)**3*(t + 9)
Let x**3/3 + 79*x**2/3 = 0. What is x?
-79, 0
Factor 5*m**2 - 590*m + 5885.
5*(m - 107)*(m - 11)
Solve -5*g**2/4 + 55*g/4 - 35 = 0.
4, 7
Factor 5*a**4 + 75*a**3 - 585*a**2 + 925*a - 420.
5*(a - 4)*(a - 1)**2*(a + 21)
Find h such that h**3/5 - 92*h**2/5 - 187*h/5 - 94/5 = 0.
-1, 94
Factor 2*d**4/11 + 4*d**3/11 - 4*d/11 - 2/11.
2*(d - 1)*(d + 1)**3/11
Factor 3*j**3 + 27*j**2 + 69*j + 45.
3*(j + 1)*(j + 3)*(j + 5)
Factor j**2 + 159*j - 160.
(j - 1)*(j + 160)
Let 26*k**4/5 - 714*k**3/5 + 5394*k**2/5 - 6734*k/5 + 2028/5 = 0. What is k?
6/13, 1, 13
What is x in 3*x**5 + 231*x**4 + 6438*x**3 + 76038*x**2 + 325335*x + 255507 = 0?
-23, -7, -1
Suppose z**5/5 - 11*z**4/5 - 26*z**3/5 - 2*z**2/5 + 5*z + 13/5 = 0. What is z?
-1, 1, 13
Factor -8*m**3/3 - 14*m**2/3 + 28*m/3 - 2.
-2*(m - 1)*(m + 3)*(4*m - 1)/3
Let 2*j**3/3 - 6*j**2 - 32*j - 104/3 = 0. What is j?
-2, 13
Find o, given that -o**4/3 - 7*o**3/3 + o**2 + 19*o/3 - 14/3 = 0.
-7, -2, 1
What is v in 21*v**3/5 - 492*v**2/5 + 39*v + 276/5 = 0?
-4/7, 1, 23
Solve -t**2 + 526*t - 69169 = 0.
263
Factor q**2/4 + 11*q.
q*(q + 44)/4
Factor 4*d**3 + 7872*d**2 + 3873024*d.
4*d*(d + 984)**2
Find o such that -2*o**2/5 - 204*o/5 = 0.
-102, 0
Determine n so that 2*n**5/17 + 1736*n**4/17 - 4*n**3/17 - 3472*n**2/17 + 2*n/17 + 1736/17 = 0.
-868, -1, 1
Determine x, given that -x**5 - 5*x**4 + 2*x**3 + 28*x**2 + 8*x - 32 = 0.
-4, -2, 1, 2
Solve -2*m**2/7 + 4300*m/7 - 614 = 0 for m.
1, 2149
Factor a**4/2 + 33*a**3/2 - 73*a**2/2 - 105*a/2.
a*(a - 3)*(a + 1)*(a + 35)/2
Factor 2*b**4 - 2*b**3 - 8*b**2 + 8*b.
2*b*(b - 2)*(b - 1)*(b + 2)
Factor -5*o**3 - 125*o**2 - 770*o.
-5*o*(o + 11)*(o + 14)
Factor m**2 + 558*m - 1120.
(m - 2)*(m + 560)
Factor 5*i**4 - 60*i**3 - 215*i**2 - 150*i.
5*i*(i - 15)*(i + 1)*(i + 2)
Factor 2*i**3/7 + 22*i**2/7 + 62*i/7 + 6.
2*(i + 1)*(i + 3)*(i + 7)/7
Suppose -33*t**4 - 491*t**3/3 - 772*t**2/3 - 364*t/3 + 16/3 = 0. Calculate t.
-2, -1, 4/99
Find g, given that 40*g**5/3 - 485*g**4/3 + 420*g**3 - 1270*g**2/3 + 500*g/3 - 15 = 0.
1/8, 1, 9
Solve -2*c**4/5 - 460*c**3 = 0 for c.
-1150, 0
Let -516961*j**2/6 - 1438*j - 6 = 0. Calculate j.
-6/719
Factor -2*q**5/21 + 2*q**4/3 - 32*q**3/21 + 16*q**2/21 + 32*q/21 - 32/21.
-2*(q - 2)**4*(q + 1)/21
Factor c**3 - 8*c**2 + 17*c - 10.
(c - 5)*(c - 2)*(c - 1)
Let 2*k**5 + 11*k**4 + 16*k**3 - 2*k**2 - 18*k - 9 = 0. Calculate k.
-3, -3/2, -1, 1
Factor 4*b**2 + 7714*b + 3856.
2*(b + 1928)*(2*b + 1)
Factor -y**4 + 15*y**3/4 - 17*y**2/4 + 3*y/2.
-y*(y - 2)*(y - 1)*(4*y - 3)/4
Factor 2*r**3 + 19*r**2/3 - 19*r - 10/3.
(r - 2)*(r + 5)*(6*r + 1)/3
Find h, given that 3*h**2 + 54*h + 96 = 0.
-16, -2
Suppose 3*d**2 - 165*d = 0. What is d?
0, 55
Factor -9*z**5 + 33*z**4 - 42*z**3 + 18*z**2 + 3*z - 3.
-3*(z - 1)**4*(3*z + 1)
Let 2*r**3/9 + 22*r**2/9 - 8*r/9 - 88/9 = 0. What is r?
-11, -2, 2
Factor 4*i**4 + 204*i**3 + 576*i**2.
4*i**2*(i + 3)*(i + 48)
Find g such that -3*g**5 - 162*g**4 - 1116*g**3 + 4350*g**2 - 4689*g + 1620 = 0.
-45, -12, 1
Determine y so that -4*y**5 - 48*y**4 + 396*y**3 + 4840*y**2 = 0.
-11, 0, 10
Factor -t**3/5 + 14*t**2/5 + t/5 - 14/5.
-(t - 14)*(t - 1)*(t + 1)/5
Solve -2*f**2 - 16704*f - 34877952 = 0.
-4176
Factor 2*p**4/7 - 4*p**3 + 106*p**2/7 - 80*p/7.
2*p*(p - 8)*(p - 5)*(p - 1)/7
Factor -2*u**3/5 - 12*u**2/5 - 24*u/5 - 16/5.
-2*(u + 2)**3/5
Let j**4 + 14*j**3 - 393*j**2 - 14*j + 392 = 0. What is j?
-28, -1, 1, 14
Suppose r**4/6 + 5*r**3/6 - r**2/6 - 5*r/6 = 0. Calculate r.
-5, -1, 0, 1
Factor w**3 + 15*w**2 + 48*w - 64.
(w - 1)*(w + 8)**2
Let -5*b**3 - 210*b**2 - 780*b - 760 = 0. Calculate b.
-38, -2
Let 10*l**3 + 58*l**2 + 208*l/5 + 8 = 0. Calculate l.
-5, -2/5
Find x, given that -9*x**3/5 - 2046*x**2/5 + 1367*x/5 - 228/5 = 0.
-228, 1/3
Find j such that -j**4 + 13*j**3 + 29*j**2 + 15*j = 0.
-1, 0, 15
Suppose -a**4/6 + 25*a**3/6 - 11*a**2/3 - 8*a = 0. Calculate a.
-1, 0, 2, 24
Let -264*f**5 - 862*f**4 - 742*f**3 - 152*f**2 - 8*f = 0. What is f?
-2, -1, -2/11, -1/12, 0
Suppose -15*z**2/4 + 33*z/4 - 3/2 = 0. What is 