q**2 - 72962*q.
q*(q - 2)*(q + 191)**2
Find t such that -t**2/2 - 157*t - 24649/2 = 0.
-157
Factor -y**2 + 250*y - 984.
-(y - 246)*(y - 4)
Suppose -o**4/4 - 19*o**3/2 + 173*o**2/4 + 105*o/2 = 0. Calculate o.
-42, -1, 0, 5
Solve 32*o**4 - 80*o**3 - 2286*o**2 - 1126*o - 140 = 0.
-7, -1/4, 10
Find w such that -14*w**4/5 - 12*w**3 + 54*w**2/5 + 4*w = 0.
-5, -2/7, 0, 1
Factor 5*r**5 - 200*r**4.
5*r**4*(r - 40)
Factor 3*s**3 - 78*s**2 - 255*s - 174.
3*(s - 29)*(s + 1)*(s + 2)
Determine c so that 28*c**3/9 + 164*c**2/9 - 56*c/9 - 64/3 = 0.
-6, -1, 8/7
Find x, given that -2*x**3/15 + 2*x**2/5 + 54*x/5 + 154/15 = 0.
-7, -1, 11
What is f in -f**2 - 47*f + 48 = 0?
-48, 1
Find r, given that -8*r**3/23 - 186*r**2/23 - 222*r/23 - 44/23 = 0.
-22, -1, -1/4
Find o, given that o**2/6 + 68*o/3 + 45/2 = 0.
-135, -1
Determine g, given that -3*g**5/2 + 27*g**4 - 93*g**3 + 132*g**2 - 171*g/2 + 21 = 0.
1, 14
Suppose -n**2/10 - 1272*n/5 - 808992/5 = 0. What is n?
-1272
Solve -5*x**4/3 + 9*x**3 - 25*x**2/3 - 13*x + 6 = 0 for x.
-1, 2/5, 3
Factor w**5 - 4*w**4 + 4*w**3 + 2*w**2 - 5*w + 2.
(w - 2)*(w - 1)**3*(w + 1)
Factor -4*g**3/9 - 107*g**2 - 19754*g/3 - 155771/9.
-(g + 119)**2*(4*g + 11)/9
Factor r**2/5 + 23*r/5 + 18.
(r + 5)*(r + 18)/5
Determine z, given that 3*z**2/2 - 27*z + 243/2 = 0.
9
Find u such that -2*u**2 + 386*u - 384 = 0.
1, 192
Factor -4*z**3 - 52*z**2 - 48*z.
-4*z*(z + 1)*(z + 12)
Find g, given that -2*g**5/11 - 356*g**4/11 - 20882*g**3/11 - 389160*g**2/11 + 842400*g/11 - 432000/11 = 0.
-60, 1
Determine b so that -2*b**4 - 16*b**3 - 10*b**2 + 100*b = 0.
-5, 0, 2
Suppose 3*o**3 - 33*o**2 - 138*o + 168 = 0. What is o?
-4, 1, 14
Find j, given that -72*j**4 - 540*j**3 - 244*j**2 + 56*j = 0.
-7, -2/3, 0, 1/6
Factor o**2 + 198*o.
o*(o + 198)
Let -2*w**3/5 + 824*w**2/5 - 84042*w/5 - 171396/5 = 0. What is w?
-2, 207
Determine l so that l**2/6 - 34*l - 205/6 = 0.
-1, 205
Factor 2*t**4/5 - 26*t**3/5 + 22*t**2 - 30*t.
2*t*(t - 5)**2*(t - 3)/5
Factor -2*l**3/13 - 2078*l**2/13 - 4150*l/13 - 2074/13.
-2*(l + 1)**2*(l + 1037)/13
Solve -3*q**3 + 504*q**2 - 20655*q - 43350 = 0 for q.
-2, 85
Factor 8*r**2 + 188*r.
4*r*(2*r + 47)
Factor -3*w**3 - 27*w**2 + 30*w.
-3*w*(w - 1)*(w + 10)
Solve x**2/4 + 65*x/4 - 51 = 0.
-68, 3
Let -3*o**2 - 78*o + 693 = 0. What is o?
-33, 7
Suppose -2*h**3/9 - 6682*h**2/9 + 13370*h/9 - 6686/9 = 0. What is h?
-3343, 1
Let -2*u**4/3 - 380*u**3 - 3406*u**2/3 - 756*u = 0. Calculate u.
-567, -2, -1, 0
Solve 5*s**2 + 755*s - 760 = 0 for s.
-152, 1
Factor -2*o**4 - 18*o**3 + 24*o**2 + 40*o.
-2*o*(o - 2)*(o + 1)*(o + 10)
Factor -t**3/6 - 175*t**2/3 + 1057*t/6 - 353/3.
-(t - 2)*(t - 1)*(t + 353)/6
Factor 2*h**3/9 + 20*h**2/9 - 22*h/9.
2*h*(h - 1)*(h + 11)/9
Factor 5*z**4/3 - 170*z**3/3 + 1745*z**2/3 - 1700*z + 1500.
5*(z - 15)**2*(z - 2)**2/3
Factor -7*b**3/3 + 331*b**2/3 + 592*b/3 - 196/3.
-(b - 49)*(b + 2)*(7*b - 2)/3
Factor 3*m**3 + 51*m**2 - 330*m.
3*m*(m - 5)*(m + 22)
Factor -2*g**4 + 224*g**3 - 440*g**2.
-2*g**2*(g - 110)*(g - 2)
Factor s**3 - 240*s**2 + 14400*s.
s*(s - 120)**2
Factor 3*n**3 - 1737*n**2 + 250560*n + 252300.
3*(n - 290)**2*(n + 1)
Solve i**3/4 + 259*i**2/4 - 65*i = 0.
-260, 0, 1
Factor -4*p**3 + 52*p**2 - 156*p + 108.
-4*(p - 9)*(p - 3)*(p - 1)
Suppose 36*w**2 + 132*w/7 + 16/7 = 0. What is w?
-1/3, -4/21
Suppose 2*p**5/9 - 34*p**4/9 + 14*p**3 + 18*p**2 = 0. What is p?
-1, 0, 9
Find l, given that -33*l**5/4 + 93*l**4/4 + 9*l**3/2 - 33*l**2 - 6*l = 0.
-1, -2/11, 0, 2
Suppose -18*b**4/5 - 74*b**3/5 + 188*b**2/5 - 96*b/5 = 0. What is b?
-6, 0, 8/9, 1
What is i in i**2/2 + 2702*i + 3650402 = 0?
-2702
Solve -w**4/3 - 31*w**3/3 - 86*w**2/3 - 56*w/3 = 0 for w.
-28, -2, -1, 0
Factor v**4/6 - 74*v**3/3 + 2738*v**2/3.
v**2*(v - 74)**2/6
Solve -2*q**2/7 = 0 for q.
0
Let -n**4 - 550*n**3 - 75625*n**2 = 0. What is n?
-275, 0
Factor 2*c**4/13 + 2*c**3/13 - 34*c**2/13 + 30*c/13.
2*c*(c - 3)*(c - 1)*(c + 5)/13
Factor -4*c**5 + 8*c**4 + 32*c**3 - 64*c**2 - 64*c + 128.
-4*(c - 2)**3*(c + 2)**2
Suppose d**3 - 390*d**2 + 773*d + 1164 = 0. What is d?
-1, 3, 388
Solve 5*s**2 - 420*s - 2700 = 0 for s.
-6, 90
Factor -2*k**3/7 + 128*k**2/7 + 554*k/7 - 680/7.
-2*(k - 68)*(k - 1)*(k + 5)/7
Factor -y**3/5 - 209*y**2/5 - 10379*y/5 + 11449.
-(y - 5)*(y + 107)**2/5
Suppose -3*l**5 + 33*l**4 + 15*l**3 - 165*l**2 - 12*l + 132 = 0. What is l?
-2, -1, 1, 2, 11
Find i, given that -6*i**5 - 165*i**4/2 - 237*i**3 - 231*i**2/2 + 45*i = 0.
-10, -3, -1, 0, 1/4
Factor 5*x**2 - 200*x - 205.
5*(x - 41)*(x + 1)
Find z, given that 2*z**4/3 + 152*z**3 + 25064*z**2/3 - 35264*z + 107648/3 = 0.
-116, 2
Solve 5*q**5 + 185*q**4 + 2435*q**3 + 13595*q**2 + 30680*q + 23660 = 0 for q.
-13, -7, -2
Let -5*d**4 - 315*d**3 - 615*d**2 - 305*d = 0. What is d?
-61, -1, 0
Find m, given that -3*m**3 - 2628*m**2 - 5247*m - 2622 = 0.
-874, -1
Find x such that -5*x**5 + 105*x**4 - 540*x**3 + 700*x**2 = 0.
0, 2, 5, 14
Solve p**2/10 - 27*p + 3645/2 = 0 for p.
135
Factor 294*b**2 - 51*b + 1/3.
(6*b - 1)*(147*b - 1)/3
Factor -i**4/4 - i**3/2 + 7*i**2/4 + 5*i + 3.
-(i - 3)*(i + 1)*(i + 2)**2/4
Factor -4*p**2/3 + 1424*p/3 - 126736/3.
-4*(p - 178)**2/3
Let d**4/7 + 33*d**3/7 + 38*d**2 + 492*d/7 - 792/7 = 0. What is d?
-22, -6, 1
Factor 2*d**3 + 120*d**2 - 8*d - 480.
2*(d - 2)*(d + 2)*(d + 60)
Solve 2*w**3/7 - 26*w**2/7 - 66*w/7 + 90/7 = 0.
-3, 1, 15
Suppose 4*z**2 + 8056*z = 0. What is z?
-2014, 0
Solve -4*h**2/3 + 380*h/9 - 368/9 = 0.
1, 92/3
Factor -3*m**3/2 - 465*m**2 + 2811*m/2 - 939.
-3*(m - 2)*(m - 1)*(m + 313)/2
Determine a so that -2*a**5 + 96*a**4 - 1048*a**3 - 2596*a**2 + 1050*a + 2500 = 0.
-2, -1, 1, 25
Factor 2*l**2 + 44*l.
2*l*(l + 22)
Let -2*p**5 + 12*p**4 + 32*p**3 + 4*p**2 - 30*p - 16 = 0. Calculate p.
-1, 1, 8
Find j such that 5*j**2/6 - 985*j/6 + 490/3 = 0.
1, 196
Factor -q**3/5 + 48*q/5 + 128/5.
-(q - 8)*(q + 4)**2/5
Factor -s**2/10 + 107*s/10.
-s*(s - 107)/10
Find q, given that 3*q**4/7 - 1203*q**3/7 + 852*q**2 - 9516*q/7 + 4752/7 = 0.
1, 2, 396
Factor -2*a**3/7 + 258*a**2/7.
-2*a**2*(a - 129)/7
Factor -2*z**2/7 - 628*z/7 - 1248/7.
-2*(z + 2)*(z + 312)/7
Factor -l**4/4 + l**3/4 + 17*l**2/4 + 15*l/4.
-l*(l - 5)*(l + 1)*(l + 3)/4
Solve 8*a**4/9 + 710*a**3/9 - 898*a**2/9 + 20*a = 0.
-90, 0, 1/4, 1
Find p such that p**4 - 3*p**3 + 2*p**2 = 0.
0, 1, 2
Factor 3*x**5 - 528*x**4 + 22695*x**3 + 47526*x**2.
3*x**2*(x - 89)**2*(x + 2)
Factor 3*z**3/2 + 165*z**2/2 + 234*z.
3*z*(z + 3)*(z + 52)/2
Suppose m**3/4 - 19*m**2/2 - 79*m/4 - 10 = 0. Calculate m.
-1, 40
Determine r, given that 2*r**2 - 12108*r = 0.
0, 6054
Factor 4*b**4 + 88*b**3 - 204*b**2 - 288*b.
4*b*(b - 3)*(b + 1)*(b + 24)
Factor 9*i**2/5 + 24*i/5 + 12/5.
3*(i + 2)*(3*i + 2)/5
Determine u so that 2*u**3/3 - 106*u**2/3 + 398*u/3 - 98 = 0.
1, 3, 49
Factor 2*a**4/9 - 22*a**3/9 + 88*a**2/9 - 152*a/9 + 32/3.
2*(a - 4)*(a - 3)*(a - 2)**2/9
Determine m so that -2*m**3/3 + 66*m**2 - 256*m + 760/3 = 0.
2, 95
Factor 2*b**2 + 266*b + 1032.
2*(b + 4)*(b + 129)
Find j, given that 3*j**5/5 + 936*j**4/5 + 74847*j**3/5 + 285498*j**2/5 + 65604*j/5 - 426888/5 = 0.
-154, -3, -2, 1
Factor -2*q**3 - 158*q**2 - 156*q.
-2*q*(q + 1)*(q + 78)
Factor -4*n**2 - 824*n - 42436.
-4*(n + 103)**2
Factor -5*z**2/2 + 13*z - 5/2.
-(z - 5)*(5*z - 1)/2
Factor -4*d**3 + 112*d**2 - 100*d - 216.
-4*(d - 27)*(d - 2)*(d + 1)
Suppose 70*k**4/17 + 144*k**3/17 + 76*k**2/17 - 2/17 = 0. What is k?
-1, -1/5, 1/7
Find h such that -3*h**5 - 6*h**4 + 3*h**3 + 6*h**2 = 0.
-2, -1, 0, 1
Factor -u**5 + 6*u**4 - 11*u**3 + 6*u**2.
-u**2*(u - 3)*(u - 2)*(u - 1)
Factor -2*v**3 + 16*v**2 - 42*v + 36.
-2*(v - 3)**2*(v - 2)
Determine t, given that -15*t**4 - 129*t**3 + 69*t**2 + 129*t - 54 = 0.
-9, -1, 2/5, 1
Factor 5*d**5 - 135*d**3 + 270*d**2.
5*d**2*(d - 3)**2*(d + 6)
Solve 4*p**3 - 48*p**2 + 156*p - 112 = 0 for p.
1, 4, 7
Suppose -l**2/2 + 3*l/2 - 1 = 0. What is l?
1, 2
Factor 21*u**2/2 + 477*u/2 - 69.
3*(u + 23)*(7*u - 2)/2
Determine q, given that -32*q**5/3 - 304*q**4/3 - 24*q**3 + 604*q**2/3 - 388*q/3 + 24 = 0.
-9, -2, 1/2
Factor -2*f**2/9 - 296*f/9 - 98/3.
-2*(f + 1)*(f + 147)/9
Let 4*w**5 + 32*w**4 - 52*w**3 - 416*w**2 + 144*w + 1152 = 0. What is w?
-8, -3, -2, 2, 3
Factor -2*h**3 - 3185*h**2 - 12737*h/8 - 199.
-(h + 1592)*(4*h + 1)**2/8
Factor -j**2/7 - 8*j/7 + 9/7.
-(j - 1)*(j + 9