 + 869*b**2/5 - 189224*b/5 + 188356/5 = 0?
1, 434
Factor -35*i**3/3 + 695*i**2/3 - 3400*i/3 - 500/3.
-5*(i - 10)**2*(7*i + 1)/3
What is a in -20*a**5 - 188*a**4 - 72*a**3 = 0?
-9, -2/5, 0
Factor 2*n**2/9 + 238*n/9 + 236/9.
2*(n + 1)*(n + 118)/9
Find l such that -5*l**2 - 170*l = 0.
-34, 0
Find t such that -3*t**2/7 - 153*t/7 - 432/7 = 0.
-48, -3
Factor -2*p**5 + 846*p**4 - 119286*p**3 + 5606442*p**2.
-2*p**2*(p - 141)**3
Factor -3*a**2 - 8499*a - 8496.
-3*(a + 1)*(a + 2832)
Factor -2*p**4 - 16*p**3 - 22*p**2 + 40*p.
-2*p*(p - 1)*(p + 4)*(p + 5)
Determine n, given that 2*n**2 + 180*n + 1738 = 0.
-79, -11
Find t such that -5*t**3 - 330*t**2 - 5100*t + 11560 = 0.
-34, 2
Solve -65*a**2 + 250*a - 240 = 0 for a.
24/13, 2
Factor -10*b**4 + 118*b**3 - 88*b**2.
-2*b**2*(b - 11)*(5*b - 4)
Let -5*c**3 - 618*c**2 - 18972*c + 7688 = 0. What is c?
-62, 2/5
Solve -2*y**4 + 620*y**3 - 49874*y**2 + 282720*y - 415872 = 0.
3, 152
Determine b, given that 3*b**2/5 - 498*b/5 + 99 = 0.
1, 165
What is r in -3*r**3 + 204*r**2 = 0?
0, 68
Factor -4*h**3 - 84*h**2 + 4*h + 84.
-4*(h - 1)*(h + 1)*(h + 21)
Factor 4*m**3 + 2428*m**2 - 7312*m + 4880.
4*(m - 2)*(m - 1)*(m + 610)
Suppose 2*n**3 + 118*n**2 - 242*n + 122 = 0. Calculate n.
-61, 1
Factor -3*b**4/2 + 12*b**3 - 87*b**2/8 + 21*b/8.
-3*b*(b - 7)*(2*b - 1)**2/8
Determine g, given that 4*g**4/3 + 68*g**3/3 - 232*g**2/3 + 160*g/3 = 0.
-20, 0, 1, 2
Solve -8*v**2 - 74*v + 60 = 0.
-10, 3/4
Factor 4*i**3 - 12*i**2 - 16*i.
4*i*(i - 4)*(i + 1)
Factor -3*x**4 - 87*x**3 - 384*x**2 - 588*x - 288.
-3*(x + 1)*(x + 2)**2*(x + 24)
Factor j**4/7 - 5*j**3/7 + 4*j**2/7.
j**2*(j - 4)*(j - 1)/7
Solve -4*m**2 - 60*m + 64 = 0 for m.
-16, 1
Factor -3*k**2/4 + 1953*k/4.
-3*k*(k - 651)/4
Determine j, given that -2*j**4/3 + 26*j**3/3 + 164*j**2/3 + 280*j/3 + 48 = 0.
-2, -1, 18
Determine p so that -2*p**4/7 + 48*p**3/7 - 146*p**2/7 - 300*p/7 + 400/7 = 0.
-2, 1, 5, 20
Find k, given that 2*k**5/7 - 6*k**4/7 - 218*k**3/7 + 446*k**2/7 + 864*k - 896 = 0.
-7, 1, 8
Factor -3*y**3 + 12*y**2/7 + 9*y/7.
-3*y*(y - 1)*(7*y + 3)/7
Let -r**4/4 + 79*r**3/4 - 380*r**2 - 400*r = 0. Calculate r.
-1, 0, 40
Factor 2*l**2/5 + 232*l + 1158/5.
2*(l + 1)*(l + 579)/5
Solve -3*z**4/5 - 78*z**3/5 - 579*z**2/5 - 936*z/5 - 432/5 = 0.
-12, -1
Factor w**4/4 - 269*w**3/2 - 2165*w**2/4 - 813*w/2.
w*(w - 542)*(w + 1)*(w + 3)/4
Factor 2*w**2 + 104*w.
2*w*(w + 52)
Factor -2*b**5/13 + 1288*b**4/13 - 277346*b**3/13 + 20151524*b**2/13 - 39476152*b/13 + 19600688/13.
-2*(b - 214)**3*(b - 1)**2/13
Suppose 2*p**2/9 - 532*p/3 + 35378 = 0. What is p?
399
Let 26*y**3 + 360*y**2 - 56*y = 0. Calculate y.
-14, 0, 2/13
Let 7*d**4/2 + 6*d**3 - 11*d**2/2 - 6*d + 2 = 0. What is d?
-2, -1, 2/7, 1
Find m such that m**4/2 + 5*m**3/2 - 63*m**2/2 + 43*m/2 + 55 = 0.
-11, -1, 2, 5
Factor 2*c**4/7 - 136*c**3/7 + 2312*c**2/7.
2*c**2*(c - 34)**2/7
Factor -2*r**2/7 + 2*r + 60/7.
-2*(r - 10)*(r + 3)/7
Factor -9*v**4 + 12*v**3 - 3*v**2.
-3*v**2*(v - 1)*(3*v - 1)
Find m such that 2*m**3 + 76*m**2 + 640*m - 1600 = 0.
-20, 2
Factor 4*o**4 - 16*o**3 - 632*o**2 - 1008*o + 8820.
4*(o - 15)*(o - 3)*(o + 7)**2
Suppose y**5/6 - y**4/2 - 27*y**3 + 371*y**2/3 + 651*y/2 + 351/2 = 0. What is y?
-13, -1, 9
What is g in -g**5/3 + 412*g**4/3 + 416*g**3/3 - 1234*g**2/3 - 2063*g/3 - 826/3 = 0?
-1, 2, 413
Determine l so that 2*l**4 + 130*l**3 - 852*l**2 + 64*l + 4544 = 0.
-71, -2, 4
Solve -g**4/8 + 5*g**3/4 - 29*g**2/8 + 4*g - 3/2 = 0.
1, 2, 6
Let 8*r**2 + 312*r + 3042 = 0. Calculate r.
-39/2
Find t such that -2*t**2 + 298*t + 912 = 0.
-3, 152
Factor 3*u**3/2 - 525*u**2/2 - 798*u - 534.
3*(u - 178)*(u + 1)*(u + 2)/2
Suppose -3*r**3 - 891*r**2 - 2652*r - 1764 = 0. What is r?
-294, -2, -1
What is t in t**2 - 3*t - 10 = 0?
-2, 5
Find o, given that -24*o**4/5 - 26*o**3/5 + 22*o**2/5 + 26*o/5 + 2/5 = 0.
-1, -1/12, 1
Let b**3/5 + b**2 + 4*b/5 = 0. Calculate b.
-4, -1, 0
Factor 3*c**3/7 + 30*c**2/7 + 99*c/7 + 108/7.
3*(c + 3)**2*(c + 4)/7
Factor 80*s**3 - 26280*s**2 - 13155*s - 1645.
5*(s - 329)*(4*s + 1)**2
Suppose 8*d**2/5 - 58*d/5 + 14/5 = 0. Calculate d.
1/4, 7
Solve 98*r**5 - 966*r**4 + 2230*r**3 + 1118*r**2 - 1680*r - 800 = 0.
-4/7, 1, 5
Factor 4*z**2/3 - 61552*z/3 + 236790544/3.
4*(z - 7694)**2/3
Factor -5*q**2 + 810*q - 3160.
-5*(q - 158)*(q - 4)
Find m, given that 2*m**3/7 + 110*m**2/7 + 108*m/7 = 0.
-54, -1, 0
Solve -54*a**4 + 627*a**3 - 1694*a**2 - 732*a - 72 = 0.
-2/9, -1/6, 6
Factor 3*t**4/2 + 9*t**3/2 - 27*t**2.
3*t**2*(t - 3)*(t + 6)/2
Factor 2*s**3 + 34*s**2 - 2578*s - 2610.
2*(s - 29)*(s + 1)*(s + 45)
Factor 21*z**3/2 - 127*z**2/2 - 68*z - 14.
(z - 7)*(3*z + 2)*(7*z + 2)/2
Suppose v**2 - 367*v + 366 = 0. What is v?
1, 366
Factor a**5/4 - 21*a**4/4 - 23*a**3/2.
a**3*(a - 23)*(a + 2)/4
Determine q, given that 4*q**2 - 1240*q + 1236 = 0.
1, 309
What is v in -2*v**2/15 + 1592*v/15 - 316808/15 = 0?
398
Factor 2*d**4/7 - 32*d**3/7 + 156*d**2/7 - 32*d + 14.
2*(d - 7)**2*(d - 1)**2/7
Solve -2*m**4 + 2*m**2 = 0 for m.
-1, 0, 1
Factor -2*b**3 - 36*b**2 - 112*b.
-2*b*(b + 4)*(b + 14)
Let -2*m**5/3 + 18*m**4 - 94*m**3/3 - 158*m**2/3 + 64*m + 200/3 = 0. Calculate m.
-1, 2, 25
What is d in -4*d**2 - 1188*d + 3600 = 0?
-300, 3
Suppose -10*t**3/3 + 112*t**2/3 - 302*t/3 + 56/3 = 0. What is t?
1/5, 4, 7
What is q in -q**4 + 7*q**3 - 14*q**2 + 8*q = 0?
0, 1, 2, 4
Factor 13*d**2/6 + 235*d/6.
d*(13*d + 235)/6
Solve 3*y**4/2 + 39*y**3 + 36*y**2 - 39*y - 75/2 = 0.
-25, -1, 1
Determine w, given that 3*w**2 - 3*w - 36 = 0.
-3, 4
Factor 3*f**3 - 46*f**2 + 148*f + 120.
(f - 10)*(f - 6)*(3*f + 2)
Factor 4*p**3/13 - 2*p**2/13 - 8*p - 168/13.
2*(p - 6)*(p + 2)*(2*p + 7)/13
Find s, given that -2*s**3/11 + 2158*s**2/11 + 2160*s/11 = 0.
-1, 0, 1080
Factor -324*d**4 - 3492*d**3 - 10912*d**2 - 7744*d.
-4*d*(d + 1)*(9*d + 44)**2
Factor d**4/4 + 27*d**3/4 + 60*d**2 + 175*d.
d*(d + 7)*(d + 10)**2/4
Factor 3*a**2/7 - 309*a/7 - 954/7.
3*(a - 106)*(a + 3)/7
What is r in 28*r**3/3 + 11436*r**2 + 44072*r/3 + 3264 = 0?
-1224, -1, -2/7
Find j such that 8*j**4/15 - 10*j**3 + 36*j**2/5 = 0.
0, 3/4, 18
Factor 2*z**3/7 + 2*z**2/7 - 16*z/7 - 24/7.
2*(z - 3)*(z + 2)**2/7
Factor 3*d**3 + 21*d**2 + 33*d + 15.
3*(d + 1)**2*(d + 5)
Factor 3*h**4/2 + 15*h**3/2 - 3*h**2/2 - 15*h/2.
3*h*(h - 1)*(h + 1)*(h + 5)/2
Let -4*k**2 + 32*k + 80 = 0. What is k?
-2, 10
Suppose 5*s**5 - 39*s**4 + 87*s**3 - 41*s**2 - 12*s = 0. What is s?
-1/5, 0, 1, 3, 4
Determine w so that 2*w**5/7 - 8*w**4 + 360*w**3/7 = 0.
0, 10, 18
Suppose 3*f**3/2 - 6*f**2 - 117*f/2 - 81 = 0. Calculate f.
-3, -2, 9
Suppose -396*v**2 + 3*v = 0. What is v?
0, 1/132
Solve -2*c**4 - 882*c**3 - 880*c**2 = 0 for c.
-440, -1, 0
Factor -59973152*j**5/5 + 14841329*j**4/5 - 1456616*j**3/5 + 70744*j**2/5 - 1696*j/5 + 16/5.
-(32*j - 1)*(37*j - 2)**4/5
Factor 24*s**2 - 87*s - 36.
3*(s - 4)*(8*s + 3)
Suppose 5*k**3/3 - 55*k**2 - 5*k/3 + 55 = 0. What is k?
-1, 1, 33
Solve 2*n**3/13 - 112*n**2/13 - 472*n/13 - 480/13 = 0.
-2, 60
Factor 50*j**3/3 - 292*j**2/3 - 16*j.
2*j*(j - 6)*(25*j + 4)/3
What is q in -1000188*q**4 - 2095632*q**3 - 193536*q**2 - 6080*q - 64 = 0?
-2, -2/63
Factor r**4/3 + 6*r**3 + 73*r**2/3 + 36*r + 52/3.
(r + 1)*(r + 2)**2*(r + 13)/3
Solve -7*d**3/5 + 222*d**2/5 + 59*d + 66/5 = 0.
-1, -2/7, 33
Factor 5*b**3 - 645*b**2 - 2645*b - 1995.
5*(b - 133)*(b + 1)*(b + 3)
Let 3*f**5/5 - 18*f**4/5 + 27*f**3/5 + 12*f**2/5 - 36*f/5 = 0. Calculate f.
-1, 0, 2, 3
Factor -4*x**3 - 176*x**2 + 788*x + 960.
-4*(x - 5)*(x + 1)*(x + 48)
Factor m**3 + 12*m**2 + 45*m + 50.
(m + 2)*(m + 5)**2
Factor 9*k**2/4 - 597*k/4 + 195.
3*(k - 65)*(3*k - 4)/4
Factor -4*z**2 - 2912*z - 529984.
-4*(z + 364)**2
Factor 2*o**2/11 - 52*o/11 + 138/11.
2*(o - 23)*(o - 3)/11
Factor -484*s**3 - 308*s**2 + 160*s - 16.
-4*(s + 1)*(11*s - 2)**2
Factor p**2/2 + 2*p + 3/2.
(p + 1)*(p + 3)/2
Find j such that 2*j**2/3 - 9908*j/3 + 12271058/3 = 0.
2477
Factor -3*s**2 - 441*s - 4110.
-3*(s + 10)*(s + 137)
Find r such that -2*r**5/7 - 12*r**4/7 + 12*r**3/7 + 8*r**2 - 90*r/7 + 36/7 = 0.
-6, -3, 1
Factor 25*l**3 + 80*l**2 + 65*l + 10.
5*(l + 1)*(l + 2)*(5*l + 1)
Solve 5*p**2 + 100*p - 2880 = 0 for p.
-36, 16
Factor c**2 - 191*c.
c*(c - 191)
Find g such that -3*g**3 + 8853*g**2 - 35376*g + 35364 = 0.
2, 2947
Determine a, given that 2*a**4 - 110*a**2 - 180*a + 288 = 0.
