, 1, 17
Solve 2*k**2 - 196*k - 816 = 0 for k.
-4, 102
Solve -3*m**4 - 47*m**3/5 + 9*m**2/5 + 47*m/5 + 6/5 = 0.
-3, -1, -2/15, 1
Factor -2*v**2 - 10*v - 12.
-2*(v + 2)*(v + 3)
Factor -j**4/11 + j**3/11.
-j**3*(j - 1)/11
Factor 5*a**2 + 70*a - 160.
5*(a - 2)*(a + 16)
Let -2*m**3/5 - 48*m**2/5 = 0. What is m?
-24, 0
Find c, given that 164*c**3 + 664*c**2 + 524*c + 24 = 0.
-3, -1, -2/41
Factor -245*b**3/3 + 35*b**2/3 + 200*b/3 - 80/3.
-5*(b + 1)*(7*b - 4)**2/3
Factor -2*t**3 + 1518*t**2 - 287280*t - 288800.
-2*(t - 380)**2*(t + 1)
Let 2*q**3/9 + 110*q**2/9 - 26*q - 38 = 0. What is q?
-57, -1, 3
Factor -i**3 + 125*i**2 + 126*i.
-i*(i - 126)*(i + 1)
Suppose -5*y**3 - 2180*y**2 - 239785*y - 470890 = 0. Calculate y.
-217, -2
Factor 5*r**2 - 25*r - 180.
5*(r - 9)*(r + 4)
Suppose -y**5/4 - 13*y**4/4 + y**3/2 + 13*y**2/2 - y/4 - 13/4 = 0. What is y?
-13, -1, 1
Solve b**5/3 - 64*b**4/3 + 1145*b**3/3 - 3902*b**2/3 + 1540*b - 600 = 0 for b.
1, 2, 30
Factor -2*w**4 - 12*w**3 + 18*w**2 + 28*w.
-2*w*(w - 2)*(w + 1)*(w + 7)
Factor -4*h**4 + 220*h**3 - 412*h**2 - 636*h.
-4*h*(h - 53)*(h - 3)*(h + 1)
Find o, given that o**2 - 432*o + 431 = 0.
1, 431
Solve -40*l**4/7 - 124*l**3/7 - 12*l**2/7 = 0 for l.
-3, -1/10, 0
Solve y**4/5 - 13*y**3/5 + 47*y**2/5 - 7*y = 0 for y.
0, 1, 5, 7
Factor 405*j**4 + 2610*j**3 + 4745*j**2 + 1740*j + 180.
5*(j + 3)**2*(9*j + 2)**2
Factor -2*n**5/9 + 12*n**4 + 110*n**3/9.
-2*n**3*(n - 55)*(n + 1)/9
Find s, given that -3*s**2/2 - 177*s/2 - 1107 = 0.
-41, -18
Solve -14*j**4 - 24*j**3 + 190*j**2 - 192*j + 40 = 0 for j.
-5, 2/7, 1, 2
Suppose -2*p**2/5 + 1736*p/5 - 376712/5 = 0. Calculate p.
434
Let 4*r**3 + 776*r**2/7 + 176*r - 416/7 = 0. What is r?
-26, -2, 2/7
Factor r**2 - 95*r + 94.
(r - 94)*(r - 1)
Factor 27*m**4/4 + 6*m**3 - 3*m**2/4.
3*m**2*(m + 1)*(9*m - 1)/4
Suppose 2*u**3/3 - 18*u - 36 = 0. What is u?
-3, 6
Suppose -114*v**2 - 3*v = 0. Calculate v.
-1/38, 0
Solve 3*s**2 - 66*s + 171 = 0.
3, 19
What is u in 3*u**4 - 108*u**3 + 972*u**2 = 0?
0, 18
Factor -a**3/5 + 4*a**2/5.
-a**2*(a - 4)/5
Suppose h**3/4 + 53*h**2/2 + 2065*h/4 - 10443 = 0. What is h?
-59, 12
What is y in y**3/2 + 781*y**2/2 + 152099*y/2 - 152881/2 = 0?
-391, 1
Solve -5*y**2 + 640*y - 7475 = 0 for y.
13, 115
Determine w so that 2*w**2 + 42*w = 0.
-21, 0
Find n, given that 14*n**4/15 - 232*n**3/5 + 3622*n**2/15 - 1484*n/5 - 528/5 = 0.
-2/7, 3, 44
Suppose -4*p**3 - 144*p**2 - 276*p - 136 = 0. Calculate p.
-34, -1
Let 4*k**5 + 320*k**4 + 6432*k**3 + 5800*k**2 - 6436*k - 6120 = 0. What is k?
-45, -34, -1, 1
Factor c**3/5 - 21*c**2/5 - 14*c - 48/5.
(c - 24)*(c + 1)*(c + 2)/5
Factor -2738*x**2/11 + 3108*x/11 - 882/11.
-2*(37*x - 21)**2/11
Factor -2*n**3/9 + 8*n**2/9 + 14*n/9 - 20/9.
-2*(n - 5)*(n - 1)*(n + 2)/9
Factor h**2/8 + h/8 - 3/4.
(h - 2)*(h + 3)/8
Solve -m**4/3 + 22*m**3/3 - 76*m**2/3 + 24*m = 0 for m.
0, 2, 18
Factor -y**2/4 - 127*y - 16129.
-(y + 254)**2/4
Let 2*m**4/5 - 8*m**3/5 - 2042*m**2/5 + 8*m/5 + 408 = 0. What is m?
-30, -1, 1, 34
Solve 12*o**5 + 9*o**4 - 3*o**3 = 0.
-1, 0, 1/4
Determine t so that 6*t**5/7 + 36*t**4/7 - 90*t**3/7 + 48*t**2/7 = 0.
-8, 0, 1
Suppose 3*m**5/2 + 24*m**4 + 291*m**3/2 + 417*m**2 + 570*m + 300 = 0. What is m?
-5, -2
Suppose h**4/5 - 11*h**3/5 - 5*h**2 - 13*h/5 = 0. What is h?
-1, 0, 13
What is g in 4*g**2 + 4108*g - 4112 = 0?
-1028, 1
Determine n so that 2*n**4/9 + 140*n**3/9 - 194*n**2/3 + 736*n/9 - 296/9 = 0.
-74, 1, 2
Find v such that -v**2 - 45*v - 234 = 0.
-39, -6
Find i, given that -256*i**3 - 1856*i**2 - 2244*i + 4356 = 0.
-33/8, 1
Factor -3*u**4 - 18*u**3 + 21*u**2.
-3*u**2*(u - 1)*(u + 7)
Solve -8*t**4 - 134*t**3 - 318*t**2 - 136*t + 56 = 0 for t.
-14, -2, -1, 1/4
Determine m so that 6*m**4/7 + 20*m**3/7 - 6*m**2/7 - 20*m/7 = 0.
-10/3, -1, 0, 1
What is l in -3*l**2 - 39*l + 90 = 0?
-15, 2
Suppose 5*g**4/4 - 25*g**3/2 + 10*g**2 + 25*g/2 - 45/4 = 0. What is g?
-1, 1, 9
Find n, given that 2*n**3/17 + 7062*n**2/17 + 8311974*n/17 + 3261064466/17 = 0.
-1177
Factor -2*k**4 + 34*k**3 - 122*k**2 - 234*k + 324.
-2*(k - 9)**2*(k - 1)*(k + 2)
Solve -50*r**4/7 + 4460*r**3/7 - 97658*r**2/7 - 80280*r/7 - 16200/7 = 0 for r.
-2/5, 45
Factor 2*f**4/17 - 4*f**3/17 - 30*f**2/17.
2*f**2*(f - 5)*(f + 3)/17
Let -2*g**2/11 + 36*g/11 + 80/11 = 0. What is g?
-2, 20
Factor -841*l**3/4 + 348*l**2 + 555*l/4 + 25/2.
-(l - 2)*(29*l + 5)**2/4
Solve -2*n**2/7 + 3408*n/7 - 3406/7 = 0.
1, 1703
Factor 5*y**4/3 - 67*y**3/3 + 106*y**2/3 + 928*y/3 - 128.
(y - 8)**2*(y + 3)*(5*y - 2)/3
Factor 4*k**4 + 1144*k**3 + 1132*k**2 - 2280*k.
4*k*(k - 1)*(k + 2)*(k + 285)
Let v**4/2 - v**3/2 - 7*v**2/2 + 13*v/2 - 3 = 0. What is v?
-3, 1, 2
Factor -2*o**3/7 + 1256*o**2/7 - 198442*o/7 + 391876/7.
-2*(o - 313)**2*(o - 2)/7
Factor -2*o**2 + 66*o - 64.
-2*(o - 32)*(o - 1)
Factor 5*r**3 + 20*r**2 + 15*r.
5*r*(r + 1)*(r + 3)
Suppose 2*s**3/19 - 20*s**2/19 + 24*s/19 + 144/19 = 0. Calculate s.
-2, 6
Let 2*l**2 + 310*l + 308 = 0. What is l?
-154, -1
Solve -4*x**5 - 24*x**4 - 48*x**3 - 40*x**2 - 12*x = 0.
-3, -1, 0
Factor -c**3/5 - 18*c**2/5 + 169*c/5 - 30.
-(c - 6)*(c - 1)*(c + 25)/5
Factor -f**4/5 - 26*f**3/5 + 507*f**2/5 + 8788*f/5 - 114244/5.
-(f - 13)**2*(f + 26)**2/5
Factor -3*c**3 + 9423*c**2 - 9865881*c + 3443192469.
-3*(c - 1047)**3
Factor -2*s**2/9 - 2*s - 4.
-2*(s + 3)*(s + 6)/9
Factor -7*x**2 + 68*x + 20.
-(x - 10)*(7*x + 2)
Factor h**3/7 + 5*h**2/7 - 25*h/7 - 125/7.
(h - 5)*(h + 5)**2/7
Let 2*o**2 + 12*o + 16 = 0. What is o?
-4, -2
Let -4*s**5/3 - 496*s**4/3 + 8*s**3/3 + 992*s**2/3 - 4*s/3 - 496/3 = 0. What is s?
-124, -1, 1
Factor 2*w**2 - 64*w + 62.
2*(w - 31)*(w - 1)
Factor -3*d**3/4 + 9*d**2/2 - 9*d + 6.
-3*(d - 2)**3/4
Find i, given that 16*i**5/3 - 24*i**4 + 17*i**3/3 + 68*i**2/3 - 11*i + 4/3 = 0.
-1, 1/4, 1, 4
Factor -2*y**2/11 - 48*y/11 - 8.
-2*(y + 2)*(y + 22)/11
Factor -12*d**2 - 940*d - 312.
-4*(d + 78)*(3*d + 1)
Factor n**3 + 22*n**2 + 59*n + 38.
(n + 1)*(n + 2)*(n + 19)
Factor -c**2/6 - 2008*c/3 - 2016032/3.
-(c + 2008)**2/6
Factor -n**2 + 15*n - 44.
-(n - 11)*(n - 4)
Suppose 2*g**2 - 708*g + 62658 = 0. Calculate g.
177
Factor -2*l**4 - 3368*l**3 - 1417928*l**2.
-2*l**2*(l + 842)**2
Find g such that 3*g**2 - 39*g + 120 = 0.
5, 8
Factor 2*i**4/11 - 940*i**3/11 + 108554*i**2/11 + 445560*i/11 + 449352/11.
2*(i - 237)**2*(i + 2)**2/11
Factor 4*a**2 + 6*a - 418.
2*(a + 11)*(2*a - 19)
Suppose -5*r**3 + 5700*r**2 - 2166000*r + 274360000 = 0. What is r?
380
Solve -4*r**5 - 108*r**4 + 132*r**3 + 572*r**2 + 336*r = 0 for r.
-28, -1, 0, 3
Solve 3*c**2 - 4704*c + 1843968 = 0.
784
Factor -2*c**3 - 104*c**2 + 214*c - 108.
-2*(c - 1)**2*(c + 54)
Factor -8*n**3/19 - 2456*n**2/19 + 2462*n/19 - 616/19.
-2*(n + 308)*(2*n - 1)**2/19
Factor 4*a**5 + a**4 - 4*a**3 - a**2.
a**2*(a - 1)*(a + 1)*(4*a + 1)
Find m such that -m**5/2 + 6*m**4 + 27*m**3/2 + 7*m**2 = 0.
-1, 0, 14
Factor 3*c**3 + 70*c**2 + 23*c.
c*(c + 23)*(3*c + 1)
Factor 4*g**2 - 88*g + 340.
4*(g - 17)*(g - 5)
Factor 3*l**3/2 - 6*l**2 - 87*l/2 - 36.
3*(l - 8)*(l + 1)*(l + 3)/2
Factor 2*d**5/13 - 2*d**4/13 - 6*d**3/13 + 10*d**2/13 - 4*d/13.
2*d*(d - 1)**3*(d + 2)/13
Factor 15*q**2/8 - 93*q/4 + 9.
3*(q - 12)*(5*q - 2)/8
Let -676*z**3 + 116688*z**2 - 5035536*z = 0. Calculate z.
0, 1122/13
Factor o**2/5 - 4*o + 19/5.
(o - 19)*(o - 1)/5
Factor -2*g**5 - 52*g**4 - 44*g**3 + 160*g**2 + 254*g + 100.
-2*(g - 2)*(g + 1)**3*(g + 25)
Find n, given that -3*n**2 - 1374*n + 1377 = 0.
-459, 1
Solve -u**2 - u + 6 = 0.
-3, 2
Let -2*w**4/7 + 1068*w**3/7 - 142578*w**2/7 = 0. Calculate w.
0, 267
Determine u so that 25*u**5/4 - 5*u**4/2 - 150*u**3 - 340*u**2 - 140*u + 120 = 0.
-2, 2/5, 6
Factor -5*s**2 - 20210*s - 20422205.
-5*(s + 2021)**2
Factor -2523*n**3 - 22185*n**2 + 4671*n - 243.
-3*(n + 9)*(29*n - 3)**2
Factor -18605*f**2/2 + 305*f - 5/2.
-5*(61*f - 1)**2/2
Determine y, given that 2*y**3/13 + 488*y**2/13 - 490*y/13 = 0.
-245, 0, 1
Factor 10*g**2/7 + 296*g/7 - 120/7.
2*(g + 30)*(5*g - 2)/7
Find n such that 2*n**3 + 52*n**2 - 2*n - 52 = 0.
-26, -1, 1
Determine p, given that -p**3 + 4*p**2 + 11*p + 6 = 0.
-1, 6
Factor -3*r**2 - 99*r + 444.
-3*(r - 4)*(r + 37)
What is b in -b**2/7 + 43*b/7 + 44/7 = 0?
-1, 44
Factor -2*m**3/15 + 76*m**2/5.
-2*m**2*(m - 114)/15
Factor 5*r**2 - 23650*r + 27966125.
5*(r - 2365)**2
Factor -o**2/3 + o + 