b + 210 = 0 for b.
-7, 3, 5
Suppose -27*q**4 - 528*q**3 - 2271*q**2 - 2286*q + 1512 = 0. What is q?
-14, -3, 4/9
Factor -5*l**2 + 50*l - 120.
-5*(l - 6)*(l - 4)
Factor 5*x**3 - 70*x**2 + 175*x - 110.
5*(x - 11)*(x - 2)*(x - 1)
Find l such that 3*l**3/4 - 267*l**2/4 + 5805*l/4 + 6075/4 = 0.
-1, 45
Factor -4*p**2 - 40*p.
-4*p*(p + 10)
Let 4*h**2 + 28*h + 24 = 0. What is h?
-6, -1
Determine b so that -5*b**2/3 + 275*b/3 - 90 = 0.
1, 54
Find t, given that 3*t**4/2 - 255*t**3 + 21675*t**2/2 = 0.
0, 85
Let -148*n**3 - 279*n**2 + 39*n + 10 = 0. What is n?
-2, -5/37, 1/4
Factor k**2/6 + 121*k/6 - 195.
(k - 9)*(k + 130)/6
What is s in -s**2/6 + 41*s/6 - 13 = 0?
2, 39
Factor -c**2/2 + 13*c/2 + 57.
-(c - 19)*(c + 6)/2
Determine l so that -2*l**5 - 20*l**4 - 28*l**3 + 152*l**2 + 414*l + 252 = 0.
-7, -3, -2, -1, 3
Factor -2*v**4 - 2*v**3 + 162*v**2 + 162*v.
-2*v*(v - 9)*(v + 1)*(v + 9)
Factor 5*c**3 - 15*c**2 - 80*c - 60.
5*(c - 6)*(c + 1)*(c + 2)
Factor 4*i**2 - 172*i - 1872.
4*(i - 52)*(i + 9)
What is j in -j**2 - 125*j - 124 = 0?
-124, -1
Factor 5*p**2/2 - 35*p/2 + 15.
5*(p - 6)*(p - 1)/2
Let 4*l**4/7 - 12*l**3 + 80*l**2/7 = 0. Calculate l.
0, 1, 20
Factor i**2/2 - i + 1/2.
(i - 1)**2/2
Factor -u**3/4 - 377*u**2 - 567005*u/4 + 570025/2.
-(u - 2)*(u + 755)**2/4
Factor 2*u**4/9 + 8*u**3/9 - 20*u**2/9 - 56*u/9 - 10/3.
2*(u - 3)*(u + 1)**2*(u + 5)/9
Factor -2*g**2/7 - 610*g/7 + 612/7.
-2*(g - 1)*(g + 306)/7
Find i such that -3*i**4/5 - 78*i**3 + 789*i**2/5 - 396*i/5 = 0.
-132, 0, 1
Determine r so that 3*r**3 - 57*r**2 + 54*r = 0.
0, 1, 18
Solve 3*k**3 - 9198*k**2 + 7050267*k = 0.
0, 1533
Factor 48*v**2 - 72*v + 27.
3*(4*v - 3)**2
Factor m**3 - 18*m**2 + 29*m + 48.
(m - 16)*(m - 3)*(m + 1)
Suppose 4*o**5 + 20*o**4 + 4*o**3 - 68*o**2 - 88*o - 32 = 0. Calculate o.
-4, -1, 2
Factor 2*j**3/9 - 70*j**2/9 + 152*j/3 - 72.
2*(j - 27)*(j - 6)*(j - 2)/9
Factor -2*x**2/3 + 356*x/3 - 15842/3.
-2*(x - 89)**2/3
Determine i, given that 2*i**2 - 22*i + 56 = 0.
4, 7
Solve 8*d**3/5 - 138*d**2/5 - 107*d/5 - 18/5 = 0 for d.
-1/2, -1/4, 18
Factor j**4/8 - 21*j**2/8 + 5*j/2.
j*(j - 4)*(j - 1)*(j + 5)/8
Factor 4*k**5 - 2888*k**4 + 696964*k**3 - 56681280*k**2 + 111283200*k - 55296000.
4*(k - 240)**3*(k - 1)**2
Let -2*a**3 + 276*a**2 + 278*a = 0. What is a?
-1, 0, 139
Find q, given that 32*q**2 - 68*q + 36 = 0.
1, 9/8
Determine q so that -q**3/3 + 8*q**2 - 140*q/3 = 0.
0, 10, 14
Solve 5*u**4 - 20*u**3 - 35*u**2 + 50*u = 0.
-2, 0, 1, 5
Find p, given that 2*p**3 + 39*p**2 + 19*p = 0.
-19, -1/2, 0
Factor 201*r**4 - 390*r**3 - 627*r**2 - 36*r.
3*r*(r - 3)*(r + 1)*(67*r + 4)
Determine m, given that -15*m**5 - 140*m**4 - 165*m**3 - 40*m**2 = 0.
-8, -1, -1/3, 0
Factor n**3 - 1089*n**2 + 395307*n - 47832147.
(n - 363)**3
Solve 44*i**4/5 + 56*i**3/5 - 384*i**2/5 - 504*i/5 - 108/5 = 0.
-3, -1, -3/11, 3
Find c, given that 2*c**3/15 + 208*c**2/3 + 132026*c/15 - 276676/5 = 0.
-263, 6
Determine u, given that 10*u**3 - 5*u**2 - 30*u = 0.
-3/2, 0, 2
Solve 3*h**3 - 81*h**2 + 153*h - 75 = 0.
1, 25
Determine n, given that -26*n**4/11 - 148*n**3/11 + 230*n**2/11 - 56*n/11 = 0.
-7, 0, 4/13, 1
Find v such that -v**3/5 + 23*v**2/5 + 33*v + 261/5 = 0.
-3, 29
Suppose 6*w**5/5 + 12*w**4/5 - 12*w**3/5 - 24*w**2/5 + 6*w/5 + 12/5 = 0. Calculate w.
-2, -1, 1
Suppose 6*x**5/17 + 26*x**4/17 - 70*x**3/17 - 50*x**2/17 + 64*x/17 + 24/17 = 0. Calculate x.
-6, -1, -1/3, 1, 2
Determine v so that 2*v**2 + 48*v - 290 = 0.
-29, 5
Find k such that 5041*k**4/2 - 10011*k**3 + 19597*k**2/2 + 282*k + 2 = 0.
-1/71, 2
Let -4*b**4 - 24*b**3 + 48*b**2 + 280*b - 300 = 0. What is b?
-5, 1, 3
Let -z**4/5 - 16*z**3/5 - 64*z**2/5 = 0. What is z?
-8, 0
Solve -2*j**5/9 - 20*j**4/9 + 8*j**3/3 + 20*j**2/9 - 22*j/9 = 0.
-11, -1, 0, 1
Factor 3*o**3/8 + 141*o**2/2 + 561*o/8.
3*o*(o + 1)*(o + 187)/8
Factor i**2 + 450*i + 50625.
(i + 225)**2
Determine z, given that -2*z**4/9 - 2*z**3/9 + 50*z**2/9 + 74*z/9 - 40/3 = 0.
-4, -3, 1, 5
Factor -3*l**2 - 261*l + 534.
-3*(l - 2)*(l + 89)
Suppose d**3/3 + 247*d**2/3 + 13520*d/3 - 219700/3 = 0. What is d?
-130, 13
Determine m, given that -2*m**5 + 260*m**4 - 766*m**3 + 508*m**2 = 0.
0, 1, 2, 127
Factor 4*d**2 - 2336*d - 2340.
4*(d - 585)*(d + 1)
Solve -4*l**4 - 28*l**3 - 20*l**2 + 28*l + 24 = 0 for l.
-6, -1, 1
What is m in -10*m**5/7 - 6*m**4/7 + 40*m**3/7 + 24*m**2/7 = 0?
-2, -3/5, 0, 2
Find l such that 3*l**4 - 21*l**2 - 18*l = 0.
-2, -1, 0, 3
Find n such that -5*n**4 - 90*n**3 - 300*n**2 + 1000*n = 0.
-10, 0, 2
Factor 5*z**2 + 310*z + 4805.
5*(z + 31)**2
Factor -2*o**5 + 46*o**4 + 208*o**3 + 216*o**2.
-2*o**2*(o - 27)*(o + 2)**2
Factor -5*i**3 - 12240*i**2 - 9987840*i - 2716692480.
-5*(i + 816)**3
Suppose 2*o**2/3 - 412*o/3 + 21218/3 = 0. Calculate o.
103
Solve 4*i**4/3 - 80*i**3/3 - 92*i**2 - 16*i/3 + 368/3 = 0 for i.
-2, 1, 23
Suppose -9*h**4 - 354*h**3 - 2101*h**2 + 27140*h - 52900 = 0. Calculate h.
-23, 10/3
Determine k so that 8*k**3/9 - 1546*k**2/9 + 386*k/9 = 0.
0, 1/4, 193
Solve -r**4/2 - 5*r**3 - 16*r**2 - 19*r - 15/2 = 0.
-5, -3, -1
Solve 726*d**4/7 - 99*d**3/7 - 171*d**2 - 408*d/7 - 36/7 = 0 for d.
-1, -2/11, 3/2
Find u, given that -9*u**5/5 + 561*u**4/5 + 387*u**3/5 - 561*u**2/5 - 378*u/5 = 0.
-1, -2/3, 0, 1, 63
Factor 2*d**5/3 - 14*d**4/3 + 20*d**3/3 + 12*d**2 - 18*d - 18.
2*(d - 3)**3*(d + 1)**2/3
Factor -h**3/5 - 4*h**2 + 92*h/5 - 96/5.
-(h - 2)**2*(h + 24)/5
Factor 5*s**3 - 25*s**2 + 15*s + 45.
5*(s - 3)**2*(s + 1)
Factor c**2 + 1920*c - 3844.
(c - 2)*(c + 1922)
Solve -4*w**5 - 502*w**4 - 20910*w**3 - 285012*w**2 + 179928*w + 444528 = 0.
-42, -1, 3/2
Factor 4*i**3 + 10*i**2 - 6*i.
2*i*(i + 3)*(2*i - 1)
Factor n**2 - 39*n + 368.
(n - 23)*(n - 16)
Determine j so that -j**5 + 6*j**4 + 50*j**3 - 216*j**2 - 553*j - 294 = 0.
-6, -1, 7
Suppose -p**5/9 - 10*p**4/9 - 28*p**3/9 - 8*p**2/3 = 0. What is p?
-6, -2, 0
Determine t so that -2450*t**3/9 - 196*t**2/9 + 200*t/9 + 16/9 = 0.
-2/7, -2/25, 2/7
Solve -4*w**4 + 100*w**3 - 600*w**2 - 2000*w + 20000 = 0.
-5, 10
Determine s, given that -3*s**5/8 + 177*s**4/8 - 63*s**3 = 0.
0, 3, 56
Factor 3*t**2 + 17*t + 10.
(t + 5)*(3*t + 2)
Solve -5*v**5 - 65*v**4 - 315*v**3 - 695*v**2 - 680*v - 240 = 0 for v.
-4, -3, -1
Determine v, given that 8*v**4/7 + 74*v**3/7 - 62*v**2/7 - 20*v/7 = 0.
-10, -1/4, 0, 1
Let 12*p**4/5 + 27*p**3/5 + 3*p**2 = 0. What is p?
-5/4, -1, 0
Suppose 33*r**5 + 321*r**4 + 447*r**3 - 129*r**2 - 480*r - 192 = 0. Calculate r.
-8, -1, -8/11, 1
Find j, given that 2*j**3/17 + 222*j**2/17 - 2*j/17 - 222/17 = 0.
-111, -1, 1
Factor -4*y**2/5 - 1256*y/5 - 98596/5.
-4*(y + 157)**2/5
Factor -2*x**2 + 466*x.
-2*x*(x - 233)
Factor 3*p**3/2 - 57*p**2/2 + 141*p - 180.
3*(p - 12)*(p - 5)*(p - 2)/2
Factor 35*h**3 + 16671*h**2 - 11444*h + 1908.
(h + 477)*(5*h - 2)*(7*h - 2)
Factor 5*h**4 - 90*h**3 - 95*h**2.
5*h**2*(h - 19)*(h + 1)
Factor t**2/6 + 1651*t/6 + 275.
(t + 1)*(t + 1650)/6
Solve -2*l**4 + 444*l**3 + 2*l**2 - 444*l = 0.
-1, 0, 1, 222
Find t such that 186*t**2/5 - 753*t/5 + 36/5 = 0.
3/62, 4
Determine r, given that 2*r**3 + 27*r**2/2 + 17*r/2 - 3 = 0.
-6, -1, 1/4
Determine g so that 5*g**3 + 1750*g**2 + 153125*g = 0.
-175, 0
Let k**5/3 + 14*k**4/3 + 25*k**3 + 194*k**2/3 + 244*k/3 + 40 = 0. Calculate k.
-5, -3, -2
Determine n so that 102*n**3/5 + 4*n**2/5 = 0.
-2/51, 0
Suppose -h**3 + 16*h**2 - 29*h + 14 = 0. Calculate h.
1, 14
Factor 5*n**2 + 20*n + 15.
5*(n + 1)*(n + 3)
Determine s so that 2*s**5/5 - 702*s**4/5 + 1396*s**3/5 + 4*s**2/5 - 1398*s/5 + 698/5 = 0.
-1, 1, 349
Factor -r**5 - 2*r**4 + 36*r**3 - 88*r**2 + 64*r.
-r*(r - 2)**3*(r + 8)
Factor -l**2/8 + l - 3/2.
-(l - 6)*(l - 2)/8
Factor -2*i**3 - 34*i**2 - 64*i + 280.
-2*(i - 2)*(i + 5)*(i + 14)
Factor 6*j**2/5 - 1044*j/5 - 9882/5.
6*(j - 183)*(j + 9)/5
What is b in b**2/7 - 130*b/7 + 4225/7 = 0?
65
Find u, given that 2*u**2 + 144*u = 0.
-72, 0
Solve -4*f**5/5 - 68*f**4/5 - 336*f**3/5 - 592*f**2/5 - 64*f = 0.
-10, -4, -2, -1, 0
Let -2*t**5/5 + 48*t**4/5 + 52*t**3/5 - 816*t**2 - 2890*t = 0. Calculate t.
-5, 0, 17
Let -4*b**3 - 36*b**2 + 192*b - 208 = 0. Calculate b.
-13, 2
Find x, given that 3*x**3 + 30*x**2 + 57*x - 90 = 0.
-6, -5, 1
Let 5*d**3 + 1010*d**2 = 0. Calculate d.
-202, 0
Factor -2*q**4 - 10*q**3 - 14*q**2 - 6*q.
-2*q*(q + 1)**2*(q + 3)
Factor 5*i**4 + 30*i**3 - 5*i**2 - 30*i