 -4*b**2/7 - 4048*b/7 + 8112/7 = 0 for b.
-1014, 2
Factor -3*t**2 - 9*t + 84.
-3*(t - 4)*(t + 7)
Solve -j**3 + 24*j**2 - 165*j + 242 = 0.
2, 11
Let 2*x**3 + 36*x**2 - 168*x + 176 = 0. Calculate x.
-22, 2
Factor -4*m**3/7 - 20*m**2/7 - 4*m - 12/7.
-4*(m + 1)**2*(m + 3)/7
Factor -y**2 + 9*y - 20.
-(y - 5)*(y - 4)
Factor 15*h**3 - 56*h**2 + 35*h - 6.
(h - 3)*(3*h - 1)*(5*h - 2)
Solve 5*r**2 + 280*r + 275 = 0 for r.
-55, -1
Determine z, given that -z**4/8 - 33*z**3/4 - 73*z**2/2 + 393*z/4 - 427/8 = 0.
-61, -7, 1
Factor 4*o**3/3 - 16*o**2/3 + 4*o.
4*o*(o - 3)*(o - 1)/3
Suppose -i**3/4 + 5*i**2/2 = 0. Calculate i.
0, 10
Factor -x**3/3 - 10*x**2 - 75*x.
-x*(x + 15)**2/3
Find s such that -s**5/5 + 2*s**4/5 + 12*s**3/5 - 8*s**2 + 32*s/5 = 0.
-4, 0, 2
Suppose -q**4/4 + 1947*q**3/2 - 1263603*q**2 + 546718898*q = 0. Calculate q.
0, 1298
Solve -l**2 + 9736*l/3 + 2164 = 0 for l.
-2/3, 3246
Find o such that o**4/2 + 10*o**3 - 33*o**2 + 34*o - 23/2 = 0.
-23, 1
Let -f**3 - f**2 + 81*f + 81 = 0. What is f?
-9, -1, 9
Let 5*t**2 + 1425*t + 1420 = 0. What is t?
-284, -1
Factor 9*c**3/4 - 21*c**2/2 - 15*c/4.
3*c*(c - 5)*(3*c + 1)/4
Let 3*l**3 - 1038*l**2 + 4104*l = 0. What is l?
0, 4, 342
Factor -4*w**2 + 24*w + 64.
-4*(w - 8)*(w + 2)
Solve 5*y**2 - 355*y + 1340 = 0 for y.
4, 67
Solve 5*b**4 + 40080*b**3 + 80280230*b**2 - 160680720*b + 80360405 = 0.
-4009, 1
Suppose -5*o**3 - 16365*o**2 - 13398840*o - 13382480 = 0. What is o?
-1636, -1
Solve -4*s**2 + 52*s + 1200 = 0 for s.
-12, 25
Suppose 67*f**4/5 - 61*f**3/5 - 6*f**2/5 = 0. Calculate f.
-6/67, 0, 1
Find g, given that 3*g**2/4 + 75*g/4 + 99/2 = 0.
-22, -3
Find k such that -3*k**2 + 3204*k - 3201 = 0.
1, 1067
Let -r**4/2 - 2*r**3 - 5*r**2/2 - r = 0. What is r?
-2, -1, 0
Solve 2*r**4/3 + 26*r**3/3 - 172*r**2/3 + 48*r = 0 for r.
-18, 0, 1, 4
Solve y**2/3 + 187*y - 1126/3 = 0 for y.
-563, 2
Factor 2*b**2 - 64*b + 120.
2*(b - 30)*(b - 2)
Let 3*s**2/4 + 1425*s/2 + 676875/4 = 0. What is s?
-475
Determine r, given that 290*r**3 - 885*r**2 - 1115*r + 60 = 0.
-1, 3/58, 4
Find k such that 2*k**3/15 + 4378*k**2/15 + 159578*k - 159870 = 0.
-1095, 1
Factor 2*k**4 - 2*k**3 - 294*k**2 + 1666*k - 1372.
2*(k - 7)**2*(k - 1)*(k + 14)
Factor -4*z**5 + 20*z**4 - 16*z**3 - 64*z**2 + 128*z - 64.
-4*(z - 2)**3*(z - 1)*(z + 2)
Factor 51*w**2/4 - 3159*w/4 - 93/2.
3*(w - 62)*(17*w + 1)/4
Find o such that o**4/3 + 122*o**3/3 + 359*o**2/3 + 238*o/3 = 0.
-119, -2, -1, 0
Determine v, given that -v**4 - 123*v**3 - 3462*v**2 + 19712*v - 24576 = 0.
-64, 2, 3
Factor r**2/5 + 4*r/5 + 3/5.
(r + 1)*(r + 3)/5
Suppose -162*c**5/13 - 522*c**4/13 - 560*c**3/13 - 200*c**2/13 = 0. What is c?
-10/9, -1, 0
Find j, given that 2*j**5/3 + 68*j**4/3 + 626*j**3/3 + 1312*j**2/3 - 248*j/3 - 1760/3 = 0.
-20, -11, -2, 1
Find f such that 3*f**5 - 48*f**4/5 - 471*f**3/5 - 804*f**2/5 - 60*f + 96/5 = 0.
-2, -1, 1/5, 8
Let 2*p**2/13 - 432*p/13 + 23328/13 = 0. Calculate p.
108
Factor -2*i**4/3 - 26*i**3 - 96*i**2 - 280*i/3.
-2*i*(i + 2)**2*(i + 35)/3
Factor 2*q**4/5 - 528*q**3/5 + 46796*q**2/5 - 1577136*q/5 + 17844338/5.
2*(q - 103)**2*(q - 29)**2/5
Find w such that -35*w**4 + 1770*w**3 - 29580*w**2 + 158950*w + 73695 = 0.
-3/7, 17
What is n in n**3 - 53*n**2 = 0?
0, 53
Solve 4*g**4 - 28*g**3 + 32*g**2 + 64*g = 0.
-1, 0, 4
Factor -k**3/2 + 214*k**2 - 22898*k.
-k*(k - 214)**2/2
Factor 3*m**2/5 + 30*m.
3*m*(m + 50)/5
Solve -3*o**4 - 24*o**3 + 3*o**2 + 24*o = 0.
-8, -1, 0, 1
Suppose -u**2 - 153*u - 302 = 0. Calculate u.
-151, -2
What is m in m**4/9 - 5*m**3/3 + 28*m**2/3 - 208*m/9 + 64/3 = 0?
3, 4
Suppose 5*g**3 - 95*g**2 + 575*g - 1125 = 0. What is g?
5, 9
Suppose b**5/11 + 6*b**4 - 423*b**3/11 + 648*b**2/11 = 0. What is b?
-72, 0, 3
Let 6*s**5/7 - 36*s**4/7 - 54*s**3/7 + 12*s**2 = 0. What is s?
-2, 0, 1, 7
Factor -u**3/6 + 65*u**2/2 - 1568*u - 4802/3.
-(u - 98)**2*(u + 1)/6
Suppose 4*c**2 + 12*c - 160 = 0. Calculate c.
-8, 5
Factor -r**2 + 82*r - 160.
-(r - 80)*(r - 2)
Factor -3*q**2/2 + 72*q - 864.
-3*(q - 24)**2/2
Find v, given that -3*v**4 - 30*v**3 + 72*v**2 = 0.
-12, 0, 2
Suppose 5*p**3/6 - 7*p**2/6 + p/3 = 0. Calculate p.
0, 2/5, 1
Solve -3*h**5/8 + 3*h**4/8 + 9*h**3/2 - 6*h**2 - 12*h + 18 = 0 for h.
-3, -2, 2
Factor u**2/6 + 19*u/6 - 7.
(u - 2)*(u + 21)/6
Factor -2*r**3/5 - 4*r**2 - 56*r/5 - 48/5.
-2*(r + 2)**2*(r + 6)/5
Suppose -3*a**4 + 102*a**3 - 279*a**2 - 12*a + 372 = 0. What is a?
-1, 2, 31
Determine s, given that -126*s**5 + 42288*s**4 - 68240*s**3 + 34752*s**2 - 5344*s = 0.
0, 2/7, 2/3, 334
Find h such that -2*h**4/7 + 3566*h**3/7 - 302940*h**2 + 421286184*h/7 - 419169168/7 = 0.
1, 594
Factor -k**3/3 - k**2 + 12*k - 32/3.
-(k - 4)*(k - 1)*(k + 8)/3
Factor -3*s**4 + 4899*s**3 + 14715*s**2 + 14721*s + 4908.
-3*(s - 1636)*(s + 1)**3
Find j, given that 5*j**5/6 - 10*j**4 + 45*j**3 - 280*j**2/3 + 175*j/2 - 30 = 0.
1, 3, 4
What is p in -2*p**2/5 - 82*p/5 + 72 = 0?
-45, 4
Determine o, given that 3*o**4/2 - 6*o**3 - 9*o**2/2 + 15*o + 12 = 0.
-1, 2, 4
Find o such that 4*o**4 + 14*o**3 - 92*o**2 + 42*o = 0.
-7, 0, 1/2, 3
Factor -2*i**2/11 + 36*i/11 - 34/11.
-2*(i - 17)*(i - 1)/11
Factor -4*y**2/9 + 5384*y/9 - 1811716/9.
-4*(y - 673)**2/9
Factor 242*o**3/21 - 88440*o**2/7 + 32152*o/7 - 8768/21.
2*(o - 1096)*(11*o - 2)**2/21
Factor -b**3/7 - b**2/7 + 214*b/7 - 416/7.
-(b - 13)*(b - 2)*(b + 16)/7
What is o in -o**4/4 + 43*o**3/2 - 1761*o**2/4 - 946*o - 484 = 0?
-1, 44
Solve 4*w**2/7 + 48*w/7 + 108/7 = 0.
-9, -3
Factor x**3 + 12*x**2 + 11*x.
x*(x + 1)*(x + 11)
Factor a**5 - a**3.
a**3*(a - 1)*(a + 1)
Solve b**4 + 16*b**3 + 13*b**2 - 30*b = 0 for b.
-15, -2, 0, 1
Factor -3*k**2/2 - 1167*k + 7029/2.
-3*(k - 3)*(k + 781)/2
Factor -i**4/7 - 271*i**3/7 - 1590*i**2/7.
-i**2*(i + 6)*(i + 265)/7
Factor -5*h**3 + 25*h**2 + 1860*h - 3780.
-5*(h - 21)*(h - 2)*(h + 18)
Suppose -4*t**3 - 1672*t**2 = 0. Calculate t.
-418, 0
Find y such that -2*y**2 - 10*y = 0.
-5, 0
Factor -u**4/10 + 194*u**3/5 - 18227*u**2/5 - 114654*u/5 - 349281/10.
-(u - 197)**2*(u + 3)**2/10
Determine c, given that 12*c**3/11 - 2*c**2/11 - 108*c/11 + 18/11 = 0.
-3, 1/6, 3
Factor p**3/4 - 6*p**2 - 141*p/4 - 29.
(p - 29)*(p + 1)*(p + 4)/4
Suppose 2*j**4/3 + 256*j**3/3 + 3612*j**2 + 147920*j/3 - 159014/3 = 0. What is j?
-43, 1
Let 8*u**2 + 42*u + 34 = 0. What is u?
-17/4, -1
Find a such that a**3/3 - 2*a**2 + 4*a - 8/3 = 0.
2
Factor 2*o**5 + 6*o**4 - 2*o**3 - 22*o**2 - 24*o - 8.
2*(o - 2)*(o + 1)**3*(o + 2)
Solve 2*c**2 - 52*c + 50 = 0 for c.
1, 25
Determine a so that 2*a**2 + 244*a + 7442 = 0.
-61
Determine k, given that -5*k**5 - 20*k**4 + 260*k**3 - 400*k**2 = 0.
-10, 0, 2, 4
Find r, given that r**5 - 2*r**4 - 10*r**3 + 20*r**2 + 9*r - 18 = 0.
-3, -1, 1, 2, 3
What is c in 2*c**4/5 + 38*c**3/5 + 122*c**2/5 + 18*c/5 - 36 = 0?
-15, -3, -2, 1
Determine h, given that 7*h**4/4 - 55*h**3/12 + 49*h**2/12 - 17*h/12 + 1/6 = 0.
2/7, 1/3, 1
Suppose -2*a**2/11 + 134*a/11 - 12 = 0. What is a?
1, 66
Factor 3*b**4/4 - 3*b**3/2 - 87*b**2/4 - 63*b/2.
3*b*(b - 7)*(b + 2)*(b + 3)/4
Solve -16*f**3 + 1772*f**2 + 444*f = 0.
-1/4, 0, 111
Find c, given that 4*c**5 + 28*c**4/3 - 28*c**3/3 - 20*c**2 + 32*c/3 + 16/3 = 0.
-2, -1/3, 1
Determine d so that -4*d**4 - 4*d**3 + 20*d**2 - 12*d = 0.
-3, 0, 1
Determine b, given that -3*b**5 + 42*b**4 - 228*b**3 + 600*b**2 - 768*b + 384 = 0.
2, 4
Determine v so that v**5/2 - 9*v**4 - v**3 + 18*v**2 + v/2 - 9 = 0.
-1, 1, 18
Solve 2*o**5/7 + 304*o**4/7 + 288*o**3/7 - 2140*o**2/7 - 3938*o/7 - 1812/7 = 0 for o.
-151, -2, -1, 3
Factor 35*f**3 + 1615*f**2 + 18745*f + 2645.
5*(f + 23)**2*(7*f + 1)
Factor 42*s**4/5 + 3264*s**3/5 + 62946*s**2/5 - 18252*s/5.
6*s*(s + 39)**2*(7*s - 2)/5
Find p, given that 676*p**3/3 - 20540*p**2/3 - 12832*p/3 - 1984/3 = 0.
-4/13, 31
Factor 14*l**2 + 1592*l - 456.
2*(l + 114)*(7*l - 2)
Factor -2*g**4 - 92*g**3 + 198*g**2 + 288*g.
-2*g*(g - 3)*(g + 1)*(g + 48)
Determine x, given that -3*x**2/8 + 15*x - 837/8 = 0.
9, 31
Determine p, given that 5*p**3 - 10*p**2 - 15*p = 0.
-1, 0, 3
Solve 3*w**4 - 336*w**3 + 9066*w**2 + 19152*w + 9747 = 0 for w.
-1, 57
Factor y**2 - 17*y - 110.
(y - 22)*(y + 5)
Determine l so that -512*l**5 - 4672*l**4/5 + 968*l**3/5 + 25*l**2 - 37*l/5 + 2/5 = 0.
-2, -1/5, 1/8
Solve 2*k**2/7 - 8*k/7 - 192/7 = 0.
-8, 12
Find f, given that f**4/2 - 57*f**3/2 + 405*f*