7, 15
Solve 18*o**2 - 411*o + 2310 = 0.
10, 77/6
Solve 2*o**2 + 10356*o + 13405842 = 0.
-2589
What is s in -2*s**4 - 258*s**3 - 11094*s**2 - 159014*s = 0?
-43, 0
Factor m**4/5 - 19*m**3/5 - m**2/5 + 19*m/5.
m*(m - 19)*(m - 1)*(m + 1)/5
Factor 2*m**4/11 + 4*m**3/11 - 26*m**2 - 288*m/11 + 10368/11.
2*(m - 8)**2*(m + 9)**2/11
Determine s, given that -2*s**2/11 + 2*s - 56/11 = 0.
4, 7
Factor 4*s**4 + 128*s**3 + 820*s**2 + 1272*s + 576.
4*(s + 1)**2*(s + 6)*(s + 24)
Determine f, given that 25*f**4/3 - 40*f**3 - 377*f**2/3 - 20*f + 28/3 = 0.
-2, -2/5, 1/5, 7
Factor -3*c**2 + 114*c - 1083.
-3*(c - 19)**2
Factor -3*j**2 - 984*j - 80688.
-3*(j + 164)**2
Solve 3*z**2/2 - 423*z + 59643/2 = 0 for z.
141
Solve 4*s**3 + 748*s**2 + 1484*s + 740 = 0.
-185, -1
Factor 3*f**2 - 189*f + 186.
3*(f - 62)*(f - 1)
Factor 4*j**3 + 20*j**2 + 16*j.
4*j*(j + 1)*(j + 4)
Factor -180*f**3 + 22560*f**2 - 7505*f + 625.
-5*(f - 125)*(6*f - 1)**2
Let h**2/8 - 57*h/8 + 7 = 0. What is h?
1, 56
Suppose -2*t**2 - 191*t - 95 = 0. What is t?
-95, -1/2
Let 2*k**5 + 14*k**4 + 34*k**3 + 34*k**2 + 12*k = 0. Calculate k.
-3, -2, -1, 0
What is b in 4*b**3/3 + 8*b**2/3 - 80*b/3 + 32 = 0?
-6, 2
Factor -t**4/2 - 33*t**3/2 + 91*t**2 - 150*t + 76.
-(t - 2)**2*(t - 1)*(t + 38)/2
Factor -v**2/3 - 113*v/3 + 156.
-(v - 4)*(v + 117)/3
Determine c, given that c**3 + 847*c**2 + 179775*c + 178929 = 0.
-423, -1
Determine w, given that -2*w**3/11 - 14*w**2/11 + 120*w/11 = 0.
-12, 0, 5
Let -3*o**3 - 390*o**2 - 11424*o + 83232 = 0. What is o?
-68, 6
Find d, given that -4*d**5 + 24*d**3 - 32*d**2 + 12*d = 0.
-3, 0, 1
Suppose 3*b**2/5 + 12*b - 132/5 = 0. What is b?
-22, 2
Factor 3*l**3 - 51*l**2 - 114*l.
3*l*(l - 19)*(l + 2)
Factor -2*a**3/5 - 4*a**2/5 + 6*a.
-2*a*(a - 3)*(a + 5)/5
Find c, given that -45*c**5 - 595*c**4 - 2695*c**3 - 4845*c**2 - 3200*c - 500 = 0.
-5, -2, -1, -2/9
Find w such that 2*w**3/3 - 76*w**2 - 470*w/3 + 232 = 0.
-3, 1, 116
Factor 2*i**3 + 2*i**2 - 4*i.
2*i*(i - 1)*(i + 2)
Find h such that 3*h**4/2 - 36*h**3 - 93*h**2 + 4896*h - 9537/2 = 0.
-11, 1, 17
Suppose 3*a**3 - 33*a**2 + 72*a + 108 = 0. Calculate a.
-1, 6
Factor a**3/6 + 19*a**2/6 + 33*a/2 + 27/2.
(a + 1)*(a + 9)**2/6
Suppose -2*f**2/3 + 94*f/3 + 32 = 0. What is f?
-1, 48
Solve 3*q**4/2 + 45*q**3/2 + 69*q**2/2 - 945*q/2 - 486 = 0.
-9, -1, 4
Factor -20*o**3 - 132*o**2 + 320*o + 768.
-4*(o - 3)*(o + 8)*(5*o + 8)
Factor h**5 + 11*h**4 + 42*h**3 + 64*h**2 + 32*h.
h*(h + 1)*(h + 2)*(h + 4)**2
Factor -4*v**2/7 + 44*v/7 - 16.
-4*(v - 7)*(v - 4)/7
What is q in -5*q**3 - 80*q**2 + 85*q = 0?
-17, 0, 1
Solve w**2/10 - 51*w/5 + 297/10 = 0 for w.
3, 99
Determine p, given that 3*p**3 - 13593*p**2 + 15404265*p - 15390675 = 0.
1, 2265
Solve 5*z**5/3 + 6*z**4 - 23*z**3/3 - 44*z**2/3 + 20*z - 16/3 = 0 for z.
-4, -2, 2/5, 1
Suppose z**2/5 + 21*z/5 = 0. What is z?
-21, 0
Find s such that 2*s**5 + 44*s**4 - 252*s**3 + 472*s**2 - 374*s + 108 = 0.
-27, 1, 2
Factor -4*j**2 - 92*j - 168.
-4*(j + 2)*(j + 21)
What is k in 2*k**3/13 + 12*k**2/13 - 30*k/13 + 16/13 = 0?
-8, 1
Determine l, given that l**5 - 2*l**4 - 23*l**3 - 12*l**2 + 36*l = 0.
-3, -2, 0, 1, 6
Factor -5*h**3/4 - 12475*h**2/4 - 7787515*h/4 - 7775045/4.
-5*(h + 1)*(h + 1247)**2/4
Determine h, given that -25*h**3 + 620*h**2 - 475*h - 120 = 0.
-1/5, 1, 24
Factor -o**2 - 10626*o - 28227969.
-(o + 5313)**2
Suppose 3*m**2 - 684*m + 38988 = 0. Calculate m.
114
What is j in -9*j**5/5 + 1452*j**4/5 - 1924*j**3/5 + 128*j**2 = 0?
0, 2/3, 160
Determine p, given that 2*p**3 + 40*p**2 + 122*p - 420 = 0.
-15, -7, 2
Solve -t**3/4 + 72*t**2 + 289*t/4 = 0 for t.
-1, 0, 289
Let 2*n**2/11 - 18/11 = 0. What is n?
-3, 3
Suppose -2*g**5/5 + 2*g**4 - 12*g**3/5 - 4*g**2/5 + 14*g/5 - 6/5 = 0. Calculate g.
-1, 1, 3
Determine r so that 4*r**2 + 88*r = 0.
-22, 0
Suppose 4*h**3 + 1416*h**2 - 2844*h + 1424 = 0. What is h?
-356, 1
Suppose 3*h**5/7 - 15*h**4/7 + 3*h**3/7 + 51*h**2/7 - 66*h/7 + 24/7 = 0. What is h?
-2, 1, 4
Determine q so that -q**2/2 - 13*q/2 - 20 = 0.
-8, -5
Determine z so that 2*z**4 - 4*z**3 - 26*z**2 + 76*z - 48 = 0.
-4, 1, 2, 3
Find w such that -w**4 + 32*w**3 - 46*w**2 - 3360*w - 11025 = 0.
-5, 21
Find g such that -4*g**4 - 88*g**3 + 100*g**2 + 184*g = 0.
-23, -1, 0, 2
Factor -5*k**2/2 - 5755*k/2 - 2875.
-5*(k + 1)*(k + 1150)/2
Determine r, given that -r**3/2 - r**2 + 16*r + 48 = 0.
-4, 6
Solve 8*b**3/7 - 17*b**2/7 + 2*b/7 = 0 for b.
0, 1/8, 2
Solve g**5/6 - 593*g**4/6 - 1189*g**3/6 - 595*g**2/6 = 0 for g.
-1, 0, 595
Solve -6*v**4/11 - 296*v**3/11 - 3842*v**2/11 - 4704*v/11 - 1152/11 = 0.
-24, -1, -1/3
Let -4*w**2 - 216*w + 1440 = 0. Calculate w.
-60, 6
Factor -w**3/3 - 10*w**2/3 + 88*w/3 - 128/3.
-(w - 4)*(w - 2)*(w + 16)/3
Find u such that -2*u**4 - 6*u**3 + 2*u**2 + 6*u = 0.
-3, -1, 0, 1
Let -20*x**5/3 - 75*x**4 - 260*x**3 - 560*x**2/3 + 320*x = 0. What is x?
-4, 0, 3/4
Factor -3*g**3/5 + 3309*g**2/5 - 914109*g/5 + 910803/5.
-3*(g - 551)**2*(g - 1)/5
Factor -2*p**2 - 70*p + 148.
-2*(p - 2)*(p + 37)
Factor m**2/4 + 35*m/4 + 24.
(m + 3)*(m + 32)/4
Suppose 25*c**3/4 + 795*c**2/4 + 6699*c/4 + 5929/4 = 0. Calculate c.
-77/5, -1
Solve -18*n**5/5 - 174*n**4 + 2404*n**3/5 - 2228*n**2/5 + 814*n/5 - 102/5 = 0 for n.
-51, 1/3, 1
Determine x so that 26*x**4/3 + 36*x**3 - 688*x**2 + 4672*x/3 + 256 = 0.
-12, -2/13, 4
Solve 2*r**2 - 1700*r + 361250 = 0 for r.
425
Factor 4*i**3 + 491*i**2 - 619*i + 124.
(i - 1)*(i + 124)*(4*i - 1)
Factor -16*a**3 + 16*a**2 + 60*a - 72.
-4*(a + 2)*(2*a - 3)**2
Find k such that -3*k**4 + 384*k**3 - 18432*k**2 + 393216*k - 3145728 = 0.
32
Determine s so that s**2/2 + 2066*s + 2134178 = 0.
-2066
Let 4*k**4/7 + 48*k**3/7 - 12*k**2/7 - 136*k/7 + 96/7 = 0. What is k?
-12, -2, 1
Find x such that 2*x**4 - 68*x**3 + 506*x**2 = 0.
0, 11, 23
Factor 2*t**4/3 + 10*t**3/3 - 16*t**2/3 - 32*t.
2*t*(t - 3)*(t + 4)**2/3
Factor c**5/4 + 7*c**4/4 + 11*c**3/4 + 5*c**2/4.
c**2*(c + 1)**2*(c + 5)/4
Factor 5*w**4 - 115*w**3 + 355*w**2 + 475*w.
5*w*(w - 19)*(w - 5)*(w + 1)
Solve -2*k**3/11 - 10*k**2 - 508*k/11 - 400/11 = 0 for k.
-50, -4, -1
Factor -2*m**4/3 + 406*m**3/3 - 1600*m**2/3 + 1592*m/3.
-2*m*(m - 199)*(m - 2)**2/3
Factor -3*r**3 - 240*r**2 + 3*r + 240.
-3*(r - 1)*(r + 1)*(r + 80)
What is y in -3*y**5/2 - 237*y**4/2 - 2277*y**3 + 2640*y**2 + 4800*y = 0?
-40, -1, 0, 2
Factor -4*o**2/3 + 4*o/3.
-4*o*(o - 1)/3
Solve a**4/2 + 6*a**3 - 123*a**2/2 + 95*a = 0 for a.
-19, 0, 2, 5
Factor 2*l**3/11 - 20*l**2/11 - 16*l/11 + 384/11.
2*(l - 8)*(l - 6)*(l + 4)/11
Determine p so that -4*p**5 - 164*p**4 + 2528*p**3 - 1616*p**2 - 41728*p - 54272 = 0.
-53, -2, 8
Determine g so that g**2 - 22*g = 0.
0, 22
Factor 3*r**3 - 1827*r**2 - 1830*r.
3*r*(r - 610)*(r + 1)
Factor -3*m**4/5 - 33*m**3/5 - 126*m**2/5 - 204*m/5 - 24.
-3*(m + 2)**3*(m + 5)/5
Suppose -18*x**4/7 - 116*x**3/7 - 48*x**2/7 = 0. Calculate x.
-6, -4/9, 0
Factor 450*n**3 - 840*n**2 - 118*n - 4.
2*(n - 2)*(15*n + 1)**2
Factor -p**4/9 + 19*p**3/9 + 134*p**2/3 + 212*p + 264.
-(p - 33)*(p + 2)*(p + 6)**2/9
Determine z so that -4*z**2/9 - 56*z/9 - 196/9 = 0.
-7
Factor -4*f**3/3 - 16*f**2/3 + 116*f/3 - 32.
-4*(f - 3)*(f - 1)*(f + 8)/3
Factor 5*r**4 - 4595*r**3 - 4605*r**2 + 4595*r + 4600.
5*(r - 920)*(r - 1)*(r + 1)**2
Determine c so that -2*c**4/3 + 38*c**3/3 - 250*c**2/3 + 658*c/3 - 196 = 0.
2, 3, 7
Factor 2*g**5 + 16*g**4 + 30*g**3 - 16*g**2 - 32*g.
2*g*(g - 1)*(g + 1)*(g + 4)**2
Determine o, given that -2*o**3 - 776*o**2/3 + 438*o + 524/3 = 0.
-131, -1/3, 2
Determine t so that t**3/5 + 14*t**2/5 + 33*t/5 = 0.
-11, -3, 0
Factor -y**2 - 803*y/5 + 322/5.
-(y + 161)*(5*y - 2)/5
Factor -l**2/3 - 22*l/3 - 121/3.
-(l + 11)**2/3
Find a such that a**5 + 70*a**4 + 1293*a**3 + 2380*a**2 + 1156*a = 0.
-34, -1, 0
Suppose 4*g**3/7 + 200*g**2/7 + 388*g/7 + 192/7 = 0. Calculate g.
-48, -1
Factor -6*f**3/11 + 284*f**2/11 - 3264*f/11 - 2304/11.
-2*(f - 24)**2*(3*f + 2)/11
Suppose 5*s**5 + 465*s**4 + 915*s**3 + 455*s**2 = 0. Calculate s.
-91, -1, 0
Suppose 25*q**3 - 3455*q**2 - 2785*q + 695 = 0. Calculate q.
-1, 1/5, 139
Find l, given that 4*l**3/7 - 40*l**2/7 - 52*l/7 + 88/7 = 0.
-2, 1, 11
Find k, given that 6*k**5/5 + 36*k**4/5 + 66*k**3/5 + 12*k**2/5 - 72*k/5 - 48/5 = 0.
-2, -1, 1
Find x, given that -2*x**5/17 + 4*x**4/17 + 14*x**3/17 + 8*x**2/17 = 0.
-1, 0, 4
Factor 2*