/31
Factor j**2 - 1753*j - 1754.
(j - 1754)*(j + 1)
Let -2*v**3 - 10*v**2/7 + 4*v/7 = 0. What is v?
-1, 0, 2/7
What is f in 7*f**3/6 + 5*f**2/6 - 71*f/3 + 20/3 = 0?
-5, 2/7, 4
Factor -r**3/5 + 9*r**2/5 - 14*r/5.
-r*(r - 7)*(r - 2)/5
Factor -3*m**4 + 16*m**3 + 12*m**2.
-m**2*(m - 6)*(3*m + 2)
Find t, given that -3*t**5 + 84*t**4 - 732*t**3 + 2016*t**2 - 1728*t = 0.
0, 2, 12
Factor 4*x**2 + 88*x + 340.
4*(x + 5)*(x + 17)
Factor 3*i**3 - 78*i**2 - 12*i + 312.
3*(i - 26)*(i - 2)*(i + 2)
Factor -3*a**2 - 8298*a - 5738067.
-3*(a + 1383)**2
Determine v, given that -2*v**3/5 - 8592*v**2/5 - 12303744*v/5 - 5872987136/5 = 0.
-1432
Factor y**3/4 - 83*y**2/4 + 420*y + 441.
(y - 42)**2*(y + 1)/4
Factor 4*x**5 + 316*x**4 + 8712*x**3 + 93400*x**2 + 272500*x + 187500.
4*(x + 1)*(x + 3)*(x + 25)**3
Factor -20*i**3 + 52*i**2 + 36*i - 36.
-4*(i - 3)*(i + 1)*(5*i - 3)
Find f such that -2*f**3 + 12*f**2 - 22*f + 12 = 0.
1, 2, 3
Factor 2*q**4/3 + 34*q**3/3 + 196*q**2/3 + 440*q/3 + 112.
2*(q + 2)**2*(q + 6)*(q + 7)/3
Determine p so that 4*p**2 - 8*p + 4 = 0.
1
Factor -4*s**5 + 8*s**4 + 48*s**3 - 152*s**2 + 148*s - 48.
-4*(s - 3)*(s - 1)**3*(s + 4)
Determine k so that k**2 - 5*k + 4 = 0.
1, 4
Suppose -22*o**5 + 142*o**4/3 + 28*o**3/3 - 88*o**2/3 - 16*o/3 = 0. Calculate o.
-2/3, -2/11, 0, 1, 2
Find k, given that -2*k**5/7 + 4*k**3/7 - 2*k/7 = 0.
-1, 0, 1
Suppose p**2/8 - 5*p/8 + 1/2 = 0. Calculate p.
1, 4
Determine j, given that 3*j**2 + 138*j + 1587 = 0.
-23
Solve -2*h**5 - 196*h**4 - 5360*h**3 - 27616*h**2 - 52256*h - 33856 = 0.
-46, -2
Factor -2*j**4 + 30*j**3 - 158*j**2 + 330*j - 200.
-2*(j - 5)**2*(j - 4)*(j - 1)
Suppose -4*b**4/7 + 5*b**3/7 + 87*b**2/7 - 26*b + 40/7 = 0. Calculate b.
-5, 1/4, 2, 4
Determine z, given that 3*z**5 - 69*z**4 + 174*z**3 + 156*z**2 - 744*z + 480 = 0.
-2, 1, 2, 20
Solve 3*s**2/7 - 489*s/7 + 486/7 = 0 for s.
1, 162
Factor -h**2 + 24*h + 52.
-(h - 26)*(h + 2)
Find l, given that -9*l**5/5 + 21*l**4 - 129*l**3/5 - 1281*l**2/5 + 882*l/5 = 0.
-3, 0, 2/3, 7
Determine z so that 2*z**3/3 + 760*z**2/3 + 1514*z/3 + 252 = 0.
-378, -1
Factor 3*q**2/4 + 75*q/4.
3*q*(q + 25)/4
Factor -10*v**2 - 9976*v + 3992.
-2*(v + 998)*(5*v - 2)
Factor i**5 - 4*i**4 - 32*i**3 + 128*i**2 + 256*i - 1024.
(i - 4)**3*(i + 4)**2
Find o, given that -o**5/3 + 4*o**4/3 - 2*o**3 + 4*o**2/3 - o/3 = 0.
0, 1
Factor 2*a**3 - 16*a**2 - 18*a.
2*a*(a - 9)*(a + 1)
Determine u, given that u**4 - 27*u**3 + 51*u**2 - 25*u = 0.
0, 1, 25
Factor o**3/4 - 3*o**2/2 + 11*o/4 - 3/2.
(o - 3)*(o - 2)*(o - 1)/4
Factor r**3 + 146*r**2 + 6204*r + 60984.
(r + 14)*(r + 66)**2
Solve 3*g**5 - 114*g**4 - 3*g**3 + 114*g**2 = 0 for g.
-1, 0, 1, 38
Determine v so that 4*v**4 + 32*v**3 + 92*v**2 + 112*v + 48 = 0.
-3, -2, -1
Factor 4*c**3/5 - 56*c**2/5 - 784*c/5 + 352.
4*(c - 22)*(c - 2)*(c + 10)/5
Suppose -2*g**2 + 4*g + 6 = 0. What is g?
-1, 3
Find v such that v**2/3 + 11*v - 148/3 = 0.
-37, 4
Factor -9*w**2 + 745*w + 166.
-(w - 83)*(9*w + 2)
What is c in 5*c**4 + 1285*c**3 + 3825*c**2 + 3815*c + 1270 = 0?
-254, -1
Factor -w**3/12 + 317*w**2/4 - 100489*w/4 + 31855013/12.
-(w - 317)**3/12
Factor 2*p**3/5 + 10*p**2 + 308*p/5.
2*p*(p + 11)*(p + 14)/5
What is x in 4*x**3 - 24*x**2 - 60*x - 32 = 0?
-1, 8
Solve 2*a**2/7 + 10*a/7 - 48/7 = 0 for a.
-8, 3
Let -g**3/7 - 45*g**2/7 = 0. Calculate g.
-45, 0
Factor 4*h**5 - 8*h**3 + 4*h.
4*h*(h - 1)**2*(h + 1)**2
Factor 3*a**3/2 - 6063*a**2 + 12253323*a/2.
3*a*(a - 2021)**2/2
Let -3*j**5/4 + 29*j**4/4 + 13*j**3/4 - 29*j**2/4 - 5*j/2 = 0. What is j?
-1, -1/3, 0, 1, 10
Factor -12*d**3 - 152*d**2 + 220*d - 56.
-4*(d - 1)*(d + 14)*(3*d - 1)
Determine q, given that 7*q**4 - 40*q**3 + 23*q**2 + 10*q = 0.
-2/7, 0, 1, 5
Factor i**3 + 2*i**2.
i**2*(i + 2)
Determine j, given that -363*j**2/2 - 1254*j - 2166 = 0.
-38/11
Factor -3*u**5/7 + 144*u**4/7 + 1557*u**3/7 - 69690*u**2/7 - 1134900*u/7 - 4563000/7.
-3*(u - 39)**2*(u + 10)**3/7
Determine z so that 2*z**4/13 + 8*z**3 + 1686*z**2/13 + 720*z + 7776/13 = 0.
-27, -12, -1
Factor 2*p**4/9 - 40*p**3/9 - 118*p**2/3 - 72*p.
2*p*(p - 27)*(p + 3)*(p + 4)/9
Factor 3*j**2 - 531*j - 534.
3*(j - 178)*(j + 1)
Factor -m**4 - 2*m**3 + 4*m**2 + 2*m - 3.
-(m - 1)**2*(m + 1)*(m + 3)
Solve b**3/5 - 4*b**2/5 - 9*b = 0.
-5, 0, 9
What is v in -2*v**3/15 + 2*v**2/3 + 44*v/15 - 112/15 = 0?
-4, 2, 7
Factor v**2 + 848*v - 849.
(v - 1)*(v + 849)
Find m, given that -2*m**3/7 - 60*m**2/7 - 274*m/7 + 48 = 0.
-24, -7, 1
Factor -3*w**3 + 126*w**2.
-3*w**2*(w - 42)
Factor 4*y**4 + 12*y**3 - 8*y**2 - 48*y - 32.
4*(y - 2)*(y + 1)*(y + 2)**2
Factor -5*t**4 - 130*t**3 - 840*t**2 - 1150*t + 2125.
-5*(t - 1)*(t + 5)**2*(t + 17)
Factor -3*f**2/5 + 12*f + 207/5.
-3*(f - 23)*(f + 3)/5
Factor -3*m**3/4 - 6*m**2 - 51*m/4 - 15/2.
-3*(m + 1)*(m + 2)*(m + 5)/4
Factor -x**5 - 5*x**4 - 2*x**3 + 8*x**2.
-x**2*(x - 1)*(x + 2)*(x + 4)
Let 4*s**5 - 2*s**4 - 68*s**3 + 34*s**2 + 64*s - 32 = 0. Calculate s.
-4, -1, 1/2, 1, 4
Factor 2*z**2 - 6*z.
2*z*(z - 3)
Factor 10*u**2/9 + 434*u/9 - 188.
2*(u + 47)*(5*u - 18)/9
Let -40*l**5 - 6984*l**4 + 9830*l**3 - 4572*l**2 + 704*l = 0. Calculate l.
-176, 0, 2/5, 1/2
Factor -12*r**3 - 138*r**2 - 267*r/4 - 33/4.
-3*(r + 11)*(4*r + 1)**2/4
Factor -27*u**4 + 264*u**3/5 + 12*u**2/5.
-3*u**2*(u - 2)*(45*u + 2)/5
Determine u, given that -3*u**3 - 921*u**2 - 71145*u - 70227 = 0.
-153, -1
Solve -3*i**4/2 + 29*i**3/2 - 37*i**2 + 22*i + 12 = 0.
-1/3, 2, 6
Factor -3*l**2/5 - 78*l/5.
-3*l*(l + 26)/5
Determine v so that -5*v**4/4 - 5*v**3 - 25*v**2/4 - 5*v/2 = 0.
-2, -1, 0
Factor -2*t**3/11 - 262*t**2/11 - 8960*t/11 - 24576/11.
-2*(t + 3)*(t + 64)**2/11
Solve -4*o**2 - 52*o + 120 = 0 for o.
-15, 2
Let l**4 + 10*l**3 - 108*l**2 + 182*l - 85 = 0. Calculate l.
-17, 1, 5
Find i such that 3*i**4/4 - 45*i**3/4 = 0.
0, 15
Factor -t**2 - 94*t + 95.
-(t - 1)*(t + 95)
Suppose j**3/3 + 413*j**2/3 + 412*j/3 = 0. What is j?
-412, -1, 0
Determine f so that -f**4 + 9*f**3 = 0.
0, 9
Find p, given that -3*p**2/2 - 243*p - 19683/2 = 0.
-81
Determine z, given that -4*z**5/9 - 4*z**4/3 - 4*z**3/9 + 4*z**2/3 + 8*z/9 = 0.
-2, -1, 0, 1
Factor -g**4 - 5*g**3 - 8*g**2 - 4*g.
-g*(g + 1)*(g + 2)**2
Factor -52*d**2 - 60*d - 8.
-4*(d + 1)*(13*d + 2)
Factor 2*a**3/15 - 94*a**2/15 + 182*a/15 - 6.
2*(a - 45)*(a - 1)**2/15
Find z such that 2*z**4/5 + 604*z**3/5 + 12240*z**2 + 424000*z + 800000 = 0.
-100, -2
Factor 4*u**3 + 268*u**2 - 280*u - 544.
4*(u - 2)*(u + 1)*(u + 68)
Factor -c**3/8 + 153*c**2/4 - 7803*c/2 + 132651.
-(c - 102)**3/8
Let 2*a**2 - 247*a + 123 = 0. Calculate a.
1/2, 123
Let 2*m**3/3 + 1634*m**2/9 + 60*m - 1088/9 = 0. What is m?
-272, -1, 2/3
Factor 4*n**2 - 21420*n - 21424.
4*(n - 5356)*(n + 1)
Factor -u**2 + 9*u.
-u*(u - 9)
Find p such that 961*p**4 + 1798*p**3 + 717*p**2 - 116*p + 4 = 0.
-1, 2/31
Factor -5*d**3/2 + 65*d**2/4 + 145*d/4 - 50.
-5*(d - 8)*(d - 1)*(2*d + 5)/4
Determine g, given that 2*g**2/13 + 772*g/13 + 74498/13 = 0.
-193
Factor -25*x**4 + 110*x**3 - 141*x**2 + 44*x - 4.
-(x - 2)**2*(5*x - 1)**2
Suppose h**2/3 - 256*h/3 + 16384/3 = 0. What is h?
128
Factor -5*i**3 - 205*i**2 - 2200*i - 2000.
-5*(i + 1)*(i + 20)**2
Factor -4*v**3 + 248*v**2 - 5060*v + 33856.
-4*(v - 23)**2*(v - 16)
Solve -36*r**4/7 + 16320*r**3/7 - 21712*r**2/7 + 7232*r/7 = 0 for r.
0, 2/3, 452
Factor 3*n**2 - 33*n - 78.
3*(n - 13)*(n + 2)
Find h, given that -20*h**2 + 12*h + 8 = 0.
-2/5, 1
Suppose -g**2/4 + 7*g/4 - 3/2 = 0. Calculate g.
1, 6
Suppose 3*r**4/2 + 55*r**3 + 275*r**2/2 + 50*r - 34 = 0. What is r?
-34, -2, -1, 1/3
Suppose 32*a**4/5 + 7696*a**3/5 - 3854*a**2/5 + 482*a/5 = 0. What is a?
-241, 0, 1/4
Factor 5*u**2 + 80*u + 140.
5*(u + 2)*(u + 14)
Factor 5*u**2 - 40*u - 165.
5*(u - 11)*(u + 3)
Factor -2*v**4/5 - 362*v**3/5 + 146*v**2 - 366*v/5.
-2*v*(v - 1)**2*(v + 183)/5
Let -2*t**5 + 4*t**4 + 4*t**3 - 16*t**2 + 14*t - 4 = 0. What is t?
-2, 1
Determine q, given that -36*q**3 + 44*q**2 + 64*q - 16 = 0.
-1, 2/9, 2
Find f, given that -35*f**4 - 10*f**3 = 0.
-2/7, 0
Let -n**4/3 + 4*n**3/3 + 7*n**2/3 - 10*n/3 = 0. Calculate n.
-2, 0, 1, 5
Suppose -2*l**4/3 - 2*l**3/3 + 22*l**2/3 + 6*l - 12 = 0. Calculate l.
-3, -2, 1, 3
Factor -2*s**3/11 + 22*s**2 - 240*s/11.
-2*s*(s - 120)*(s - 1)/11
Determine u, given that -26*u**5/11 - 158*u**4/11 - 348*u**3/11 - 328*u**2/11 - 112*u/11 = 0.
-2,