
Let 4*j**2 + 80*j - 500 = 0. What is j?
-25, 5
Suppose -8*h**2/5 + 4954*h/5 - 1238/5 = 0. Calculate h.
1/4, 619
Factor 2*t**5 - 60*t**4 + 114*t**3 - 56*t**2.
2*t**2*(t - 28)*(t - 1)**2
Factor -2*h**2 + 112*h - 1568.
-2*(h - 28)**2
Determine p, given that p**3 + 23*p**2 - 49*p + 25 = 0.
-25, 1
Factor -5*b**3 + 770*b**2 - 29645*b.
-5*b*(b - 77)**2
Factor 2*w**4 + 38*w**3 - 42*w**2 - 38*w + 40.
2*(w - 1)**2*(w + 1)*(w + 20)
Solve -2*y**2/11 + 1790*y/11 - 5352/11 = 0.
3, 892
Factor i**5/5 + 13*i**4/5 + 7*i**3 - 49*i**2/5.
i**2*(i - 1)*(i + 7)**2/5
Suppose 2*t**2/9 + 320*t/9 + 12800/9 = 0. Calculate t.
-80
Find p such that 5*p**5/3 + 8*p**4/3 - 31*p**3/12 - 29*p**2/12 + p/3 + 1/3 = 0.
-2, -1/2, 2/5, 1
Factor 98*p**3 + 99*p**2 + p.
p*(p + 1)*(98*p + 1)
Solve 286*z**3/3 + 192*z**2 - 850*z/3 - 4 = 0.
-3, -2/143, 1
Solve -d**5/7 - 12*d**4/7 - 22*d**3/7 + 48*d**2/7 + 23*d/7 - 36/7 = 0.
-9, -4, -1, 1
Factor 3*p**3/5 + 1776*p**2/5 - 3564*p/5.
3*p*(p - 2)*(p + 594)/5
Determine h so that -h**2 + 21*h = 0.
0, 21
What is n in -2*n**3/5 - 22*n**2/5 + 186*n/5 - 306/5 = 0?
-17, 3
Factor 2*p**4 - 72*p**3 + 922*p**2 - 4932*p + 9072.
2*(p - 14)*(p - 9)**2*(p - 4)
Factor -3*m**3 - 18*m**2 - 15*m.
-3*m*(m + 1)*(m + 5)
Solve c**2/4 + 17*c/4 - 19/2 = 0.
-19, 2
Find r, given that -2*r**3/11 - 2*r**2/11 + 12*r/11 = 0.
-3, 0, 2
Factor -p**5 - 8*p**4 - 21*p**3 - 18*p**2.
-p**2*(p + 2)*(p + 3)**2
Find r, given that 138*r**5/7 + 28*r**4 - 44*r**3/21 - 64*r**2/7 + 10*r/7 + 4/21 = 0.
-1, -2/23, 1/3
Factor -4*l**4 - 300*l**3 - 6276*l**2 - 22820*l + 29400.
-4*(l - 1)*(l + 6)*(l + 35)**2
Let -4*q**2 + 28*q + 32 = 0. What is q?
-1, 8
Determine u, given that 2*u**2/3 - 68*u/3 + 62 = 0.
3, 31
Determine s so that s**3/6 - 4*s**2/3 + 8*s/3 = 0.
0, 4
What is m in -2*m**5 - 70*m**4/11 - 34*m**3/11 + 62*m**2/11 + 56*m/11 + 8/11 = 0?
-2, -1, -2/11, 1
Factor -2*q**2/11 - 32*q/11.
-2*q*(q + 16)/11
Factor w**2/5 + 128*w/5 + 252/5.
(w + 2)*(w + 126)/5
Find l, given that l**3 - 4*l**2 - 171*l + 1134 = 0.
-14, 9
Determine c so that -4*c**5/3 + 1312*c**4 - 324060*c**3 + 1928648*c**2/3 = 0.
0, 2, 491
Factor -5*v**2 - 2450*v + 2455.
-5*(v - 1)*(v + 491)
Solve -i**2/8 + i/4 + 3 = 0.
-4, 6
Factor 15*o**4 - 20*o**3 - 25*o**2 + 10*o.
5*o*(o - 2)*(o + 1)*(3*o - 1)
Find g, given that -4*g**5 - 16*g**4 - 12*g**3 + 16*g**2 + 16*g = 0.
-2, -1, 0, 1
Determine b so that 2*b**5/7 - 4*b**4/7 - 24*b**3/7 + 36*b**2/7 + 54*b/7 = 0.
-3, -1, 0, 3
Find h such that -h**4/7 + 3*h**3 + h**2 - 153*h/7 + 18 = 0.
-3, 1, 2, 21
Find h, given that 5*h**2 - 24720*h + 30553920 = 0.
2472
Solve -f**2/3 - 5170*f/3 - 6682225/3 = 0.
-2585
What is p in -p**2/7 + 1719*p/7 + 3442/7 = 0?
-2, 1721
Determine d, given that d**4 - 111*d**3 + 642*d**2 - 1268*d + 840 = 0.
2, 105
Find v such that -v**4/2 - 4*v**3 - 21*v**2/2 - 11*v - 4 = 0.
-4, -2, -1
What is f in -2*f**2/5 + 604*f/5 - 45602/5 = 0?
151
Factor p**3 - 21*p**2 - 72*p.
p*(p - 24)*(p + 3)
Let 2*h**3 + 330*h**2 + 654*h + 326 = 0. Calculate h.
-163, -1
Factor -2*a**4/9 + 10*a**3/3 - 1000*a/9.
-2*a*(a - 10)**2*(a + 5)/9
Suppose 2*g**4/15 + 2*g**3/5 + 2*g**2/15 - 2*g/5 - 4/15 = 0. Calculate g.
-2, -1, 1
Let -6*y**5/7 + 22*y**4/7 - 30*y**3/7 + 18*y**2/7 - 4*y/7 = 0. Calculate y.
0, 2/3, 1
What is b in -3*b**3 - 120*b**2 + 381*b - 258 = 0?
-43, 1, 2
Suppose -6*o**3 + 322*o**2 + 112*o - 216 = 0. Calculate o.
-1, 2/3, 54
Factor s**2/4 + 3*s/4.
s*(s + 3)/4
Find j such that -4*j**2 - 52*j + 56 = 0.
-14, 1
Factor 2*u**5 - 26*u**3 + 24*u**2.
2*u**2*(u - 3)*(u - 1)*(u + 4)
Factor w**4/6 - 11*w**3 + 182*w**2 - 3479*w/3 + 5145/2.
(w - 45)*(w - 7)**3/6
Let 2*t**4/15 - 58*t**3/15 + 238*t**2/15 + 578*t/3 = 0. Calculate t.
-5, 0, 17
Factor -2*a**5 - 64*a**4 - 818*a**3 - 5220*a**2 - 16632*a - 21168.
-2*(a + 6)**3*(a + 7)**2
Factor -2*u**4 - 9*u**3 - 10*u**2 - 3*u.
-u*(u + 1)*(u + 3)*(2*u + 1)
Let 7*x**4 + 3613*x**3 + 462831*x**2 - 873089*x - 134162 = 0. Calculate x.
-259, -1/7, 2
Determine h, given that -h**4 - 60*h**3 - 794*h**2 - 2628*h + 3483 = 0.
-43, -9, 1
Factor 5*p**2 + 22540*p + 25402580.
5*(p + 2254)**2
Let 166*d**2/7 - 1990*d/7 - 24/7 = 0. What is d?
-1/83, 12
Factor -4*w**4 + 40*w**3 - 68*w**2 - 112*w.
-4*w*(w - 7)*(w - 4)*(w + 1)
What is r in 3*r**3/7 - 156*r**2 - 2193*r/7 - 1098/7 = 0?
-1, 366
Let -n**5/6 - 19*n**4/6 - 8*n**3 = 0. What is n?
-16, -3, 0
Determine g so that 3*g**4 - 12*g**3 = 0.
0, 4
Factor 4*p**2/9 + 40*p/9 + 64/9.
4*(p + 2)*(p + 8)/9
Suppose -2*o**2/3 + 658*o/3 = 0. Calculate o.
0, 329
Factor -x**2/2 + 4*x + 9/2.
-(x - 9)*(x + 1)/2
Solve -9*o**5 + 6*o**4 + 72*o**3 - 48*o**2 - 144*o + 96 = 0.
-2, 2/3, 2
Factor 2*l**4/13 + 1736*l**3/13 + 565068*l**2/13 + 81746504*l/13 + 4434747842/13.
2*(l + 217)**4/13
Factor -4*q**2/3 + 1544*q/3 - 148996/3.
-4*(q - 193)**2/3
Factor 3*c**3/4 - 3*c**2/4 - 75*c/4 + 75/4.
3*(c - 5)*(c - 1)*(c + 5)/4
Factor 2*m**5 + 16*m**4 + 10*m**3 - 100*m**2.
2*m**2*(m - 2)*(m + 5)**2
Solve -5*x**5 + 40*x**4 - 105*x**3 + 70*x**2 + 100*x - 120 = 0.
-1, 2, 3
Let -16*d**3/9 + 50*d**2/9 - 38*d/9 + 4/9 = 0. Calculate d.
1/8, 1, 2
Solve -2*h**5/11 - 2*h**4/11 + 24*h**3/11 - 8*h**2/11 - 32*h/11 = 0 for h.
-4, -1, 0, 2
Factor 2*c**2 - 12*c - 950.
2*(c - 25)*(c + 19)
Factor y**5/3 - 5*y**4/3 + y**3/3 + 17*y**2/3 - 22*y/3 + 8/3.
(y - 4)*(y - 1)**3*(y + 2)/3
Find l, given that -2*l**4/11 + 146*l**3/11 - 142*l**2/11 - 146*l/11 + 144/11 = 0.
-1, 1, 72
Factor -2*p**4 - 16*p**3 - 42*p**2 - 36*p.
-2*p*(p + 2)*(p + 3)**2
Factor -4*n**2 + 680*n - 28900.
-4*(n - 85)**2
Factor -24*t**2/5 - 1086*t/5 - 54.
-6*(t + 45)*(4*t + 1)/5
Factor -m**4 + 148*m**3 - 5322*m**2 - 11700*m + 16875.
-(m - 75)**2*(m - 1)*(m + 3)
Factor -3*w**3 - 27*w**2 - 72*w - 48.
-3*(w + 1)*(w + 4)**2
Solve -y**4 - 102*y**3/5 - 7*y**2 + 102*y/5 + 8 = 0 for y.
-20, -1, -2/5, 1
Factor 125*f**3/3 + 175*f**2/3 - 40*f - 60.
5*(f - 1)*(5*f + 6)**2/3
Factor 4*c**2/3 + 40*c/3 - 32.
4*(c - 2)*(c + 12)/3
Factor 12769*k**3/5 + 89157*k**2/5 - 1581*k/5 + 7/5.
(k + 7)*(113*k - 1)**2/5
Let 5*y**2/2 + 13960*y + 19488160 = 0. What is y?
-2792
Solve -3*n**4/5 - 12*n**3/5 + 3*n**2/5 + 12*n/5 = 0.
-4, -1, 0, 1
Factor 2*t**4/11 + 8*t**3/11 - 1924*t**2/11 - 3864*t/11 + 466578/11.
2*(t - 21)**2*(t + 23)**2/11
Solve -2*w**5/17 - 26*w**4/17 - 60*w**3/17 + 308*w**2/17 + 830*w/17 - 1050/17 = 0 for w.
-7, -5, 1, 3
Factor -4*z**3 + 3224*z**2 - 6436*z + 3216.
-4*(z - 804)*(z - 1)**2
Solve -2*q**2/3 + 3196*q/3 - 3194/3 = 0 for q.
1, 1597
Factor 4*i**4 - 12*i**3.
4*i**3*(i - 3)
Find m, given that -4*m**5/3 + 20*m**4/3 + 20*m**3 - 260*m**2/3 + 280*m/3 - 32 = 0.
-4, 1, 6
Solve -3*i**3 + 27*i**2 - 81*i + 81 = 0 for i.
3
Factor 3*c**4 - 1074*c**3 + 1065*c**2 + 2142*c.
3*c*(c - 357)*(c - 2)*(c + 1)
Determine g, given that -3*g**4 + 393*g**3 - 17028*g**2 + 238128*g + 255552 = 0.
-1, 44
Suppose -b**5/3 - 22*b**4/3 - 11*b**3/3 + 202*b**2/3 - 56*b = 0. What is b?
-21, -4, 0, 1, 2
Factor 4*g**2 + 57*g + 14.
(g + 14)*(4*g + 1)
Factor -y**5 + 11*y**4 + 74*y**3 + 100*y**2 - 56*y - 128.
-(y - 16)*(y - 1)*(y + 2)**3
Find t such that -20*t**5 - 595*t**4 - 3870*t**3 + 6925*t**2 + 7880*t - 2340 = 0.
-18, -13, -1, 1/4, 2
Factor -58*m**3/3 - 34*m**2 + 28*m/3.
-2*m*(m + 2)*(29*m - 7)/3
Factor 3*p**3 - 27*p**2 + 24*p.
3*p*(p - 8)*(p - 1)
Factor 23*v**3/2 + 33*v**2 + 37*v/2 - 3.
(v + 1)*(v + 2)*(23*v - 3)/2
Determine u so that 5*u**3 - 145*u**2 + 875*u - 735 = 0.
1, 7, 21
Factor -2*g**2/9 + 4706*g/9 + 4708/9.
-2*(g - 2354)*(g + 1)/9
Factor 2*s**5/11 - 2*s**4/11 - 12*s**3/11.
2*s**3*(s - 3)*(s + 2)/11
Factor -5*c**4 + 5*c**3 + 15*c**2 - 5*c - 10.
-5*(c - 2)*(c - 1)*(c + 1)**2
Determine k so that -4*k**3/5 + 104*k**2/5 - 100*k - 608/5 = 0.
-1, 8, 19
Factor -2*a**3/7 + 18*a**2/7 + 200*a/7 + 384/7.
-2*(a - 16)*(a + 3)*(a + 4)/7
Suppose 2*j**5 - 18*j**4 - 2*j**3 + 18*j**2 = 0. What is j?
-1, 0, 1, 9
Factor 2*r**2/11 - 100*r/11 + 48.
2*(r - 44)*(r - 6)/11
Factor -n**3/4 - 23*n**2/4 + 26*n - 27.
-(n - 2)**2*(n + 27)/4
Factor 3*y**2/4 + 3*y - 24.
3*(y - 4)*(y + 8)/4
Find c, given that 2*c**2 + 92*c/3 - 64/3 = 0.
-16, 2/3
Solve -p**2 + 1224*p - 374544 = 0.
612
Find z, given that -z**5/4 + z**4/4 + 7*z**3/4 - 13*z**2/4 + 3*z/2 = 0.
-3, 0, 1, 2
Suppose 2*l**4/9 + 26*l**3/9 - 98*l**2/9 - 26*l/9 + 32/3 = 0. What is l?
-16, -1, 1, 3
What is x in 2*x**3 + 42*x**2 + 244*x 