o**2*(o + 1)**3/3
Find v such that 2*v**5/9 + 4*v**4/3 + 2*v**3 + 8*v**2/9 = 0.
-4, -1, 0
Solve 3*g**3/2 + 33*g**2 + 63*g/2 = 0 for g.
-21, -1, 0
Factor 2*o**3 + 536*o**2/7 + 152*o/7.
2*o*(o + 38)*(7*o + 2)/7
Factor 2*g**2/3 + 14*g/3 + 8.
2*(g + 3)*(g + 4)/3
Let -4*q**3/9 + 76*q**2/3 + 232*q/9 = 0. What is q?
-1, 0, 58
Factor -2*s**3 + 14*s**2 + 128*s - 896.
-2*(s - 8)*(s - 7)*(s + 8)
Factor 5*d**3 - 2965*d**2 + 438075*d + 441045.
5*(d - 297)**2*(d + 1)
Find f such that 2*f**4/15 + 416*f**3/15 - 2*f**2/5 - 1244*f/15 + 832/15 = 0.
-208, -2, 1
Factor -21*z**2/8 - 153*z/8 - 21/4.
-3*(z + 7)*(7*z + 2)/8
Factor -2*w**2/5 + 102*w/5 - 196/5.
-2*(w - 49)*(w - 2)/5
Let -2*d**4/13 - 1516*d**3/13 - 285754*d**2/13 + 582160*d/13 + 866400/13 = 0. Calculate d.
-380, -1, 3
Factor -4*u**3 - 52*u**2.
-4*u**2*(u + 13)
Determine a so that 3*a**5/4 - 9*a**4/2 + 39*a**3/4 - 9*a**2 + 3*a = 0.
0, 1, 2
Suppose 3*u**5 - 189*u**4 + 1053*u**3 - 1539*u**2 = 0. Calculate u.
0, 3, 57
Solve -4*t**4/5 - 92*t**3 + 472*t**2/5 + 928*t/5 = 0 for t.
-116, -1, 0, 2
Determine g so that 9*g**5 + 78*g**4 + 237*g**3 + 288*g**2 + 108*g = 0.
-3, -2, -2/3, 0
Let 2*p**2/7 + 128*p/7 + 590/7 = 0. What is p?
-59, -5
Factor -2*a**4 + 604*a**3 - 46202*a**2 + 90600*a - 45000.
-2*(a - 150)**2*(a - 1)**2
Factor -i**4/4 + 5*i**3/4 + 2*i**2 - 12*i.
-i*(i - 4)**2*(i + 3)/4
Suppose -2*b**3/13 - 94*b**2/13 - 1232*b/13 - 2904/13 = 0. Calculate b.
-22, -3
Find x, given that -x**3/2 + 46*x**2 + x/2 - 46 = 0.
-1, 1, 92
Factor -w**2 + w + 2.
-(w - 2)*(w + 1)
Factor -4*k**2 + 452*k.
-4*k*(k - 113)
What is p in -21*p**5/5 - 27*p**4/5 + 45*p**3 + 51*p**2 - 324*p/5 - 108/5 = 0?
-3, -2, -2/7, 1, 3
Factor -15*d**5 - 3500*d**4 - 271440*d**3 - 6935760*d**2 + 4745520*d.
-5*d*(d + 78)**3*(3*d - 2)
Let -2*g**3/3 + 358*g**2/3 + 8*g/3 - 1432/3 = 0. Calculate g.
-2, 2, 179
Solve 3*p**4/2 - 12*p**3 - 69*p**2/2 + 45*p = 0.
-3, 0, 1, 10
Solve -4*z**5/3 - 179*z**4/3 + 49*z**3/3 + 179*z**2/3 - 15*z = 0.
-45, -1, 0, 1/4, 1
Let t**3/6 - t**2/6 - 4*t/3 + 2 = 0. Calculate t.
-3, 2
Solve -20*t**3 + 34*t**2 - 14*t = 0 for t.
0, 7/10, 1
Find p such that 2*p**4/5 + 4*p**3/5 - 6*p**2 - 64*p/5 - 32/5 = 0.
-4, -1, 4
Solve j**2/7 + 34*j/7 - 72/7 = 0.
-36, 2
Factor 4*r**3 + 12*r**2 - 352*r.
4*r*(r - 8)*(r + 11)
Factor -5*y**3 + 20*y**2 - 15*y.
-5*y*(y - 3)*(y - 1)
Factor -5359375*l**5 + 37699375*l**4 - 1288350*l**3 + 14708*l**2 - 56*l.
-l*(l - 7)*(175*l - 2)**3
Let -c**4/5 - c**3 + 5*c**2 + c - 24/5 = 0. What is c?
-8, -1, 1, 3
Factor 2*u**3/9 - 44*u**2/9 + 242*u/9.
2*u*(u - 11)**2/9
Factor s**4/4 - 7*s**3/4 + 11*s**2/4 - 5*s/4.
s*(s - 5)*(s - 1)**2/4
Find o, given that 5*o**2 - 150*o - 155 = 0.
-1, 31
What is j in -4*j**2/3 - 4708*j/3 + 3144 = 0?
-1179, 2
Factor -5*m**4 - 20*m**3 - 20*m**2.
-5*m**2*(m + 2)**2
Factor 6*x**3 + 2470*x**2 + 4934*x/3 + 274.
2*(x + 411)*(3*x + 1)**2/3
Determine a, given that 2*a**2/9 + 464*a + 242208 = 0.
-1044
Factor -4*y**2 - y + 1/2.
-(2*y + 1)*(4*y - 1)/2
Factor -3*t**4 - 42*t**3 - 132*t**2 - 120*t.
-3*t*(t + 2)**2*(t + 10)
Suppose 4*k**3/9 + 2932*k**2/3 + 2149156*k/3 + 1575331348/9 = 0. Calculate k.
-733
What is c in c**5/3 + 13*c**4/3 - 5*c**3 - 13*c**2/3 + 14*c/3 = 0?
-14, -1, 0, 1
Let 5*w**4 + 340*w**3 = 0. Calculate w.
-68, 0
Determine t so that -2*t**4/7 + 44*t**3/7 + 6*t**2/7 - 128*t/7 - 88/7 = 0.
-1, 2, 22
Suppose 2*u**3/7 + 10*u**2/7 - 26*u/7 + 2 = 0. What is u?
-7, 1
Find w, given that -3*w**5 + 213*w**4 - 1209*w**3 + 2571*w**2 - 2352*w + 780 = 0.
1, 2, 65
Factor 2*j**3/3 + 508*j**2/3.
2*j**2*(j + 254)/3
Determine t, given that 2*t**3/3 - 14*t**2/3 - 16*t/3 = 0.
-1, 0, 8
Factor -10*d**2/3 + 22*d/3 - 4.
-2*(d - 1)*(5*d - 6)/3
Solve 2*o**3/7 - 52*o**2/7 + 128*o/7 + 3072/7 = 0.
-6, 16
Find l, given that 4*l**3 - 168*l**2/5 + 304*l/5 - 96/5 = 0.
2/5, 2, 6
Factor 3*d**3 - 21*d**2 - 1983*d + 2001.
3*(d - 29)*(d - 1)*(d + 23)
Factor 4*w**2 + 544*w - 5220.
4*(w - 9)*(w + 145)
Solve -o**2/2 - 34*o = 0.
-68, 0
Let -24*f**3 - 28*f**2 + 40*f = 0. Calculate f.
-2, 0, 5/6
Factor 3*d**4 - 24*d**3 - 225*d**2 + 1134*d + 5832.
3*(d - 9)**2*(d + 4)*(d + 6)
Factor -12*i**4/5 - 117*i**3/5 + 6*i**2.
-3*i**2*(i + 10)*(4*i - 1)/5
Factor 2*r**2 - 25*r + 75.
(r - 5)*(2*r - 15)
Solve p**4/6 - p**3/3 - 13*p**2/6 - 5*p/3 = 0 for p.
-2, -1, 0, 5
Determine s, given that 2*s**4/11 - 2*s**3 + 84*s**2/11 - 136*s/11 + 80/11 = 0.
2, 5
Solve -c**4/8 - 67*c**3/8 - 125*c**2/8 + 331*c/8 + 195/4 = 0 for c.
-65, -3, -1, 2
Factor q**3 + 15*q**2 + 36*q - 140.
(q - 2)*(q + 7)*(q + 10)
Solve -2*a**5/19 + 8*a**4/19 + 10*a**3/19 - 40*a**2/19 - 8*a/19 + 32/19 = 0.
-2, -1, 1, 2, 4
Factor -20*t**2 - 36*t + 8.
-4*(t + 2)*(5*t - 1)
Factor 4*z**5 - 16*z**4 + 20*z**3 - 8*z**2.
4*z**2*(z - 2)*(z - 1)**2
Factor -5*y**3 + 385*y**2 + 5*y - 385.
-5*(y - 77)*(y - 1)*(y + 1)
Solve y**5/7 + 6*y**4/7 - 20*y**3/7 - 66*y**2/7 + 163*y/7 - 12 = 0 for y.
-7, -4, 1, 3
Suppose -2*r**3/5 - 16*r**2/5 + 8*r = 0. What is r?
-10, 0, 2
Let -16*p**2 + 68*p - 72 = 0. What is p?
2, 9/4
Find g such that -g**3/2 - 2*g**2 + 11*g/2 + 15 = 0.
-5, -2, 3
Factor 4*m**4/5 + 28*m**3/5 + 48*m**2/5.
4*m**2*(m + 3)*(m + 4)/5
Factor l**4/3 - 8*l**3/3 + 8*l**2 - 32*l/3 + 16/3.
(l - 2)**4/3
Suppose 21*a**2 + 69*a + 18 = 0. Calculate a.
-3, -2/7
Solve 5*l**3 - 35*l**2 + 20*l + 60 = 0 for l.
-1, 2, 6
Factor 2*x**2 - 227*x - 114.
(x - 114)*(2*x + 1)
Find j such that -12*j**3 - 27*j**2 - 18*j - 3 = 0.
-1, -1/4
Suppose r**3/2 + r**2 - 5*r/2 - 3 = 0. What is r?
-3, -1, 2
Factor p**2/2 + 108*p + 5832.
(p + 108)**2/2
Suppose -10*a**4/9 + 22*a**3/9 + 26*a**2/9 - 2*a/3 = 0. What is a?
-1, 0, 1/5, 3
What is z in -4*z**3/5 + 184*z**2/5 - 2116*z/5 = 0?
0, 23
What is g in -4*g**3 + 28*g**2 + 4*g - 28 = 0?
-1, 1, 7
Solve y**2 + 15972*y + 63776196 = 0.
-7986
Find h such that -2*h**3/5 - 2816*h**2/5 = 0.
-1408, 0
Find q such that 2*q**4/5 - 108*q**3/5 - 2*q**2/5 + 108*q/5 = 0.
-1, 0, 1, 54
Solve 2*w**4 + 8*w**3 - 36*w**2 + 40*w - 14 = 0.
-7, 1
Determine j so that 10*j**5 + 155*j**4 + 700*j**3 + 730*j**2 - 70*j - 245 = 0.
-7, -1, 1/2
Find r such that -4*r**4 + 96*r**3 - 792*r**2 + 2464*r - 1764 = 0.
1, 7, 9
Factor 3*q**3/2 - 21*q**2 - 45*q/2.
3*q*(q - 15)*(q + 1)/2
Determine b so that 2275*b**5 - 2640*b**4 - 3320*b**3 - 960*b**2 - 80*b = 0.
-2/5, -2/7, -2/13, 0, 2
Suppose 2*c**4/5 + 366*c**3/5 + 840*c**2 + 16544*c/5 + 21888/5 = 0. What is c?
-171, -4
Determine w, given that -2*w**4 + 18*w**3 + 132*w**2 + 112*w = 0.
-4, -1, 0, 14
Factor -2*j**3/3 - 136*j**2/3 - 266*j/3 - 44.
-2*(j + 1)**2*(j + 66)/3
Factor 2*w**3/11 - 1154*w**2/11 - 2316*w/11.
2*w*(w - 579)*(w + 2)/11
Factor -14*u**2 + 235*u + 51.
-(u - 17)*(14*u + 3)
Factor -p**3/4 + 19*p**2 - 75*p/4.
-p*(p - 75)*(p - 1)/4
Factor 2*r**5/7 - 118*r**4/7 + 1556*r**3/7 + 5396*r**2/7 + 806*r + 1922/7.
2*(r - 31)**2*(r + 1)**3/7
Factor -2*h**2 - 116*h - 1682.
-2*(h + 29)**2
Let k**4/2 + 3*k**3 + 7*k**2/2 - 3*k - 4 = 0. Calculate k.
-4, -2, -1, 1
Factor 2*s**2 + 62*s - 532.
2*(s - 7)*(s + 38)
Determine j so that j**4/6 - 49*j**3/6 + 137*j**2/6 + 49*j/6 - 23 = 0.
-1, 1, 3, 46
Find t, given that 3*t**3/2 + 54*t**2 - 225*t/2 + 57 = 0.
-38, 1
Factor -3*x**2/8 - 57*x/4 - 315/8.
-3*(x + 3)*(x + 35)/8
Factor 4*r**2 - 28*r - 32.
4*(r - 8)*(r + 1)
Let 3*r**3 - 60*r**2 - 69*r + 126 = 0. Calculate r.
-2, 1, 21
Let -3*p**2 + 285*p - 828 = 0. What is p?
3, 92
Find j such that -j**4/2 - 201*j**3 + 1218*j**2 - 2444*j + 1632 = 0.
-408, 2
Solve -h**4/5 + 4*h**3/5 - h**2 + 2*h/5 = 0 for h.
0, 1, 2
Factor -2*o**5 - 38*o**4 + 58*o**3 + 382*o**2 + 448*o + 160.
-2*(o - 4)*(o + 1)**3*(o + 20)
Factor -c**5 + 3*c**4 + 2*c**3 - 12*c**2 + 8*c.
-c*(c - 2)**2*(c - 1)*(c + 2)
Factor -4*s**2 + 1028*s + 2072.
-4*(s - 259)*(s + 2)
Factor 9*v**3/2 - 9*v**2 + 11*v/2 - 1.
(v - 1)*(3*v - 2)*(3*v - 1)/2
Suppose 5*f**3 + 135*f**2 + 1155*f + 3185 = 0. Calculate f.
-13, -7
Solve 2*l**4/5 + 16*l**3/5 - 26*l**2/5 - 64*l/5 + 72/5 = 0.
-9, -2, 1, 2
Factor 2*j**2/5 - 42*j/5 - 464/5.
2*(j - 29)*(j + 8)/5
Factor -r**2/7 - 3338*r/7 - 2785561/7.
-(r + 1669)**2/7
Solve -t**2/2 + 35*t/2 - 75 = 0.
5, 30
Factor 2*o**2/9 - 2132*o/3 + 568178.
2*(o - 1599)**2/9
Find d such that 4*d**2/5 + 112*d/5 + 108/5 = 0.
-27, -1
Suppose 45*q**4 + 105*q**3 - 895*q**2 + 555*q - 90 = 0. What is q?
-6, 1/3, 3
Factor q**5 + q**4 - 3