g**3 + 60*g**2 + 8709*g - 1938 = 0?
-17, 2/9, 19
What is z in z**5/4 + 155*z**4/4 + 3191*z**3/2 + 14589*z**2/2 + 39825*z/4 + 16875/4 = 0?
-75, -3, -1
Solve -2*s**4/15 - 188*s**3/5 + 566*s**2/15 = 0 for s.
-283, 0, 1
Factor -8*j**2/9 + 70*j + 158/9.
-2*(j - 79)*(4*j + 1)/9
Factor -p**2/3 - 25*p/3 + 26/3.
-(p - 1)*(p + 26)/3
Let 2*u**2/3 + 158*u/3 + 308/3 = 0. What is u?
-77, -2
Find o such that 2*o**5/7 - 8*o**4/7 - 54*o**3/7 - 76*o**2/7 - 32*o/7 = 0.
-2, -1, 0, 8
Determine i, given that 5*i**2 - 13070*i - 13075 = 0.
-1, 2615
Determine q so that -q**4/5 - 236*q**3/5 + 477*q**2/5 + 236*q/5 - 476/5 = 0.
-238, -1, 1, 2
Factor -m**4 + 17*m**3.
-m**3*(m - 17)
Factor -4*q**2 + 10264*q - 6584356.
-4*(q - 1283)**2
Factor -m**3/4 + m**2/2 + 7*m/4 + 1.
-(m - 4)*(m + 1)**2/4
Suppose -64*m**5 - 96*m**4 + 60*m**3 + 100*m**2 = 0. Calculate m.
-5/4, 0, 1
Factor k**5 + 133*k**4/9 + 215*k**3/3 + 325*k**2/3 - 250*k/9.
k*(k + 5)**3*(9*k - 2)/9
What is j in 4*j**3/7 - 8*j**2/7 - 284*j/7 + 288/7 = 0?
-8, 1, 9
Solve -4*f**2/3 + 24*f + 700/3 = 0 for f.
-7, 25
Factor -2*u**4/7 - 24*u**3/7 - 6*u**2 + 28*u.
-2*u*(u - 2)*(u + 7)**2/7
Determine g so that 3*g**3/2 - 117*g**2/2 - 1395*g/2 - 3675/2 = 0.
-5, 49
Suppose k**5/6 + 23*k**4/6 + 137*k**3/6 - 11*k**2/6 - 121*k = 0. What is k?
-11, -3, 0, 2
Suppose -3*p**4/5 - 51*p**3/5 - 51*p**2 - 369*p/5 - 162/5 = 0. What is p?
-9, -6, -1
Factor -175*c**3 + 523*c**2 - 344*c - 4.
-(c - 2)*(c - 1)*(175*c + 2)
Let 194*g**3/3 + 778*g**2/3 + 784*g/3 + 8/3 = 0. What is g?
-2, -1/97
Factor j**2/2 - 24*j - 104.
(j - 52)*(j + 4)/2
Find r such that -3*r**5 - 12*r**4 + 21*r**3 + 30*r**2 = 0.
-5, -1, 0, 2
Factor 3*c**5 - 3*c**4 - 9*c**3 + 3*c**2 + 6*c.
3*c*(c - 2)*(c - 1)*(c + 1)**2
Suppose -2*s**3/13 + 8*s**2/13 - 10*s/13 + 4/13 = 0. Calculate s.
1, 2
Find k such that 2*k**2/7 + 208*k/7 - 30 = 0.
-105, 1
Determine g so that -5*g**4 + 30*g**3 - 45*g**2 - 20*g + 60 = 0.
-1, 2, 3
Find x such that 2*x**5 - 8*x**4 - 14*x**3 + 20*x**2 = 0.
-2, 0, 1, 5
Factor 2*k**3 - 258*k**2 + 8448*k - 8192.
2*(k - 64)**2*(k - 1)
Suppose -7*z**3/2 + 139*z**2/2 - 340*z - 50 = 0. What is z?
-1/7, 10
Factor -4*x**3 - 7200*x**2 - 4320000*x - 864000000.
-4*(x + 600)**3
Factor -k**2/2 - 2*k + 720.
-(k - 36)*(k + 40)/2
Factor 3*h**4 - 234*h**3 - 9*h**2 + 708*h - 468.
3*(h - 78)*(h - 1)**2*(h + 2)
Find j such that -4*j**3/5 - 484*j**2/5 - 96*j = 0.
-120, -1, 0
Factor -31*l**2/11 + 91*l/11 + 6/11.
-(l - 3)*(31*l + 2)/11
Find y, given that -y**4 - 5*y**3 - 2*y**2 + 20*y + 24 = 0.
-3, -2, 2
Let 3*q**2 - 492*q = 0. Calculate q.
0, 164
Factor b**5/4 - 9*b**4/4 + 7*b**3/2.
b**3*(b - 7)*(b - 2)/4
Suppose 5*s**2 + 135*s - 140 = 0. What is s?
-28, 1
Factor 5*b**2 - 3290*b + 541205.
5*(b - 329)**2
Find z, given that -3*z**3 - 972*z**2 - 969*z = 0.
-323, -1, 0
Factor 5*l**2 + 190*l - 195.
5*(l - 1)*(l + 39)
Solve 2*w**4/9 + 10*w**3/9 - 22*w**2 + 78*w - 84 = 0.
-14, 3
Suppose -5*g**2 - 3750*g - 703125 = 0. What is g?
-375
Find p such that p**3 + 16*p**2 + 52*p + 48 = 0.
-12, -2
Factor 2*l**3/15 + 8*l**2/15 - 10*l/3 - 56/15.
2*(l - 4)*(l + 1)*(l + 7)/15
Suppose -h**5 + 153*h**4 + 941*h**3 + 2055*h**2 + 1904*h + 636 = 0. Calculate h.
-2, -1, 159
Factor m**3/3 + 683*m**2/3 + 680*m/3 - 1364/3.
(m - 1)*(m + 2)*(m + 682)/3
Factor -x**5 + 25*x**4 - 143*x**3 - 169*x**2.
-x**2*(x - 13)**2*(x + 1)
What is u in 3*u**3 + 48*u**2 + 87*u + 42 = 0?
-14, -1
Let -2*y**3/9 - 28*y**2/3 - 310*y/9 - 76/3 = 0. What is y?
-38, -3, -1
Find v such that -3*v**2/5 - 1449*v/5 = 0.
-483, 0
Find o, given that -3*o**3 - 24*o**2 - 51*o - 30 = 0.
-5, -2, -1
Factor -c**4/4 + 27*c**3/4 + 57*c**2/4 + 29*c/4.
-c*(c - 29)*(c + 1)**2/4
Determine r so that 21*r**4 + 75*r**3 + 12*r**2 - 108*r = 0.
-18/7, -2, 0, 1
Find k, given that -k**2/2 + 46*k - 1491/2 = 0.
21, 71
Factor 5*z**2 + 51940*z + 134888180.
5*(z + 5194)**2
Factor 45*r**2/7 - 141*r/7 + 18/7.
3*(r - 3)*(15*r - 2)/7
Factor -3*c**3 + 8*c**2/3 + 19*c/3 + 2/3.
-(c - 2)*(c + 1)*(9*c + 1)/3
Factor 4*v**3 + 2*v**2 - 10*v + 4.
2*(v - 1)*(v + 2)*(2*v - 1)
Solve 2*x**5/5 - 14*x**4/5 - 164*x**3/5 + 572*x**2/5 + 954*x + 810 = 0.
-5, -1, 9
Factor -3*q**4 + 17*q**3 + 101*q**2 + 139*q + 58.
-(q + 1)**2*(q + 2)*(3*q - 29)
Find r such that 3*r**3/2 - 45*r**2/2 - 87*r + 108 = 0.
-4, 1, 18
Determine w, given that -w**4/2 + 5*w**3/2 - 7*w**2/2 + 3*w/2 = 0.
0, 1, 3
Suppose 120*m**5 - 351*m**4 - 150*m**3 + 360*m**2 + 30*m - 9 = 0. What is m?
-1, -1/5, 1/8, 1, 3
Factor -w**4/5 - 2*w**3 - 19*w**2/5 + 6*w.
-w*(w - 1)*(w + 5)*(w + 6)/5
What is j in -2*j**2 + 38*j + 132 = 0?
-3, 22
Factor -f**3/4 + 17*f**2/4 + f/4 - 17/4.
-(f - 17)*(f - 1)*(f + 1)/4
Suppose -4*k**2 + 1788*k + 7216 = 0. What is k?
-4, 451
Solve -c**2/4 + 25*c - 99/4 = 0.
1, 99
Factor -3*t**4/4 - 219*t**3/2 - 20079*t**2/4 - 74679*t - 348843.
-3*(t + 11)**2*(t + 62)**2/4
Solve 3*r**5 + 42*r**4 + 162*r**3 - 12*r**2 - 645*r + 450 = 0 for r.
-6, -5, 1
Solve -3*q**2 + 1182*q - 116427 = 0 for q.
197
Determine c, given that 8*c**5 - 2378*c**4 - 28782*c**3 - 81648*c**2 + 22248*c = 0.
-6, 0, 1/4, 309
Factor d**3 + 239*d**2 - 1461*d + 2205.
(d - 3)**2*(d + 245)
Determine x, given that x**3/4 + 7*x**2/2 - 44*x = 0.
-22, 0, 8
Suppose -k**4 + 191*k**3 - 10710*k**2 + 63700*k + 6517000 = 0. What is k?
-19, 70
Let -a**4 + 7*a**3 - 6*a**2 - 32*a + 32 = 0. Calculate a.
-2, 1, 4
What is f in 9*f**3/2 - 147*f**2/2 - 132*f - 54 = 0?
-1, -2/3, 18
Factor -3*y**4/8 - 21*y**3/8 - 3*y**2/2 + 9*y/2.
-3*y*(y - 1)*(y + 2)*(y + 6)/8
Factor -5*f**2 + 45*f + 50.
-5*(f - 10)*(f + 1)
Factor -3*l**2 - 57*l - 54.
-3*(l + 1)*(l + 18)
Find a, given that 25*a**5/2 - 25*a**4 - 52*a**3 + 104*a**2 + 8*a - 16 = 0.
-2, -2/5, 2/5, 2
Factor -2*c**4/5 - 12*c**3/5 - 2*c**2.
-2*c**2*(c + 1)*(c + 5)/5
Factor 2*p**4/7 + 18*p**3/7 + 30*p**2/7 - 50*p/7.
2*p*(p - 1)*(p + 5)**2/7
Factor -3*g**2/4 + 159*g - 315.
-3*(g - 210)*(g - 2)/4
Solve -x**5/10 - x**4/5 + 9*x**3/10 + 9*x**2/5 = 0.
-3, -2, 0, 3
What is i in 10*i**4 + 26*i**3 - 122*i**2 - 138*i = 0?
-23/5, -1, 0, 3
Factor 124*y**2 - 292*y - 240.
4*(y - 3)*(31*y + 20)
Factor -36*s**3 + 1088*s**2 + 2064*s - 512.
-4*(s - 32)*(s + 2)*(9*s - 2)
Determine q, given that -q**5 + 45*q**4 + q**3 - 45*q**2 = 0.
-1, 0, 1, 45
Factor -64*l**4 + 52896*l**3 - 10942852*l**2 + 5461512*l - 682276.
-4*(l - 413)**2*(4*l - 1)**2
Suppose -2*v**2/21 - 128*v/21 = 0. Calculate v.
-64, 0
Determine p so that -p**4 + 4*p**3 + 3*p**2 - 18*p = 0.
-2, 0, 3
Factor 33*z**4 + 161*z**3 + 244*z**2 + 100*z - 16.
(z + 1)*(z + 2)**2*(33*z - 4)
Determine y so that 5*y**4 + 475*y**3 - 490*y**2 - 960*y = 0.
-96, -1, 0, 2
Let -v**4 - v**3 + 7*v**2 + v - 6 = 0. What is v?
-3, -1, 1, 2
Factor 2*x**2/19 - 11924*x/19 + 17772722/19.
2*(x - 2981)**2/19
Determine b, given that 23*b**5/7 - 25*b**4/7 - 90*b**3/7 + 100*b**2/7 - 8*b/7 = 0.
-2, 0, 2/23, 1, 2
Factor -2*q**3 + 20*q**2 + 26*q - 44.
-2*(q - 11)*(q - 1)*(q + 2)
Solve 2*t**4/13 + 2*t**3/13 - 10*t**2/13 + 6*t/13 = 0 for t.
-3, 0, 1
Suppose -u**2 + 1362*u + 2728 = 0. What is u?
-2, 1364
Let 6*q**4/7 - 40*q**3/7 + 24*q**2/7 = 0. Calculate q.
0, 2/3, 6
Factor 3*p**3 + 48*p**2 + 177*p + 132.
3*(p + 1)*(p + 4)*(p + 11)
Factor -3*g**2/4 + 9*g/4.
-3*g*(g - 3)/4
Factor 5*a**4 - 80*a**3 - 175*a**2 - 90*a.
5*a*(a - 18)*(a + 1)**2
Determine u, given that u**2 - 123*u + 1332 = 0.
12, 111
Let -t**5 + 5*t**4 + 5*t**3 - 25*t**2 - 4*t + 20 = 0. Calculate t.
-2, -1, 1, 2, 5
Factor f**5/5 - 7*f**4/5 - 18*f**3/5.
f**3*(f - 9)*(f + 2)/5
Factor -w**4/3 - 79*w**3/3 + w**2/3 + 79*w/3.
-w*(w - 1)*(w + 1)*(w + 79)/3
Let a**5 - 6*a**4 + 5*a**3 = 0. Calculate a.
0, 1, 5
Factor r**4/3 - 4*r**3/3 - 128*r**2/3 + 256*r.
r*(r - 8)**2*(r + 12)/3
Let -2*d**2 - 644*d + 646 = 0. What is d?
-323, 1
Solve -2*v**2 - 5540*v = 0.
-2770, 0
Factor -2*s**2/11 + 314*s/11.
-2*s*(s - 157)/11
Let -2*k**4 - 8*k**3 - 6*k**2 = 0. Calculate k.
-3, -1, 0
Factor u**2/6 + 35*u/6.
u*(u + 35)/6
Factor 32*j**4/21 + 368*j**3/21 - 190*j**2/21 + 8*j/7.
2*j*(j + 12)*(4*j - 1)**2/21
Factor -6*j**4 + 31*j**3 - 53*j**2 + 32*j - 4.
-(j - 2)**2*(j - 1)*(6*j - 1)
Find s, given that -3*s**3 - 681*s**2 = 0.
-227, 0
Suppose 3*g**4 + 87*g**3 + 480*g**2 - 2304*g = 0. What is g?
-16, 0, 3
Let 14*m**5/3 - 88*m**4/3 + 50*m**3 - 92*m**2/3 + 16*m/3 = 0. What is m?
0, 2/7, 1, 4
Suppose -3*z**2/