, -1, 1
Factor j**2 + 55*j + 106.
(j + 2)*(j + 53)
What is k in k**5/5 - 12*k**4/5 + 53*k**3/5 - 102*k**2/5 + 72*k/5 = 0?
0, 2, 3, 4
Find a, given that 2*a**2 + 200*a + 198 = 0.
-99, -1
Factor -22*u**3/13 + 20*u**2/13 + 2*u/13.
-2*u*(u - 1)*(11*u + 1)/13
Suppose -a**3/6 + 7*a**2/12 + a/3 = 0. Calculate a.
-1/2, 0, 4
Find k such that 121*k**3/4 + 12749*k**2/4 + 1156*k + 105 = 0.
-105, -2/11
Factor -3*r**2/8 - 2553*r/8 - 1275/4.
-3*(r + 1)*(r + 850)/8
Suppose -p**2 - 99*p + 306 = 0. Calculate p.
-102, 3
Determine u, given that -3*u**5 + 69*u**4 + 3*u**3 - 69*u**2 = 0.
-1, 0, 1, 23
Determine n so that 10*n**3 - 73*n**2 - 59*n + 24 = 0.
-1, 3/10, 8
Suppose 12*o**5 - 40*o**4 - 24*o**3 + 96*o**2 + 44*o - 24 = 0. Calculate o.
-1, 1/3, 2, 3
Factor c**3 + 23*c**2 - 154*c - 392.
(c - 7)*(c + 2)*(c + 28)
Solve 3*b**2 - 8007*b + 8004 = 0.
1, 2668
Find w such that -7*w**3/6 + 17*w**2/6 - 13*w/6 + 1/2 = 0.
3/7, 1
Find f, given that 5*f**5 + 1950*f**4 + 1930*f**3 - 5840*f**2 - 1935*f + 3890 = 0.
-389, -2, -1, 1
Factor 4*o**2/3 - 228*o - 1384/3.
4*(o - 173)*(o + 2)/3
Suppose 15*x**3/2 + 171*x**2/4 + 24*x - 45/4 = 0. Calculate x.
-5, -1, 3/10
Factor 3*a**3 - 93*a**2 - 96*a.
3*a*(a - 32)*(a + 1)
Find g, given that -2*g**3/3 + 68*g**2 - 1664*g - 10816/3 = 0.
-2, 52
Determine o, given that -3*o**4 - 3*o**3 + 81*o**2 + 243*o + 162 = 0.
-3, -1, 6
Solve -2*p**3/3 + 28*p**2/3 = 0.
0, 14
Solve f**3 + 8*f**2 + 7*f = 0.
-7, -1, 0
Find t such that t**2/4 - t/2 + 1/4 = 0.
1
Factor -9*m**4 + 20*m**3 + 59*m**2 + 22*m - 8.
-(m - 4)*(m + 1)**2*(9*m - 2)
Factor 5*n**4 - 450*n**3 + 13500*n**2 - 135000*n.
5*n*(n - 30)**3
Factor 9*c**4/5 - 2877*c**3/5 + 45888*c**2 + 15360*c.
3*c*(c - 160)**2*(3*c + 1)/5
Factor 4*u**3 + 112*u**2 + 308*u + 200.
4*(u + 1)*(u + 2)*(u + 25)
Factor 3*m**2 + 108*m - 351.
3*(m - 3)*(m + 39)
Factor -3*t**2/2 + 33*t/2 + 39.
-3*(t - 13)*(t + 2)/2
Suppose 12*b**3/5 - 74*b**2/15 + 8*b/3 - 2/15 = 0. What is b?
1/18, 1
Let 2*m**2/7 + 2*m/7 - 4/7 = 0. What is m?
-2, 1
Let 3*d**2/5 - 699*d/5 + 696/5 = 0. What is d?
1, 232
Factor x**3 - 207*x**2 + 1995*x - 4925.
(x - 197)*(x - 5)**2
Factor -h**4/5 + 4*h**3/5 - h**2 + 2*h/5.
-h*(h - 2)*(h - 1)**2/5
What is r in -35*r**3/6 + 85*r**2/6 + 10*r = 0?
-4/7, 0, 3
Factor -4*s**3/3 + 93*s**2 - 1610*s - 1225/3.
-(s - 35)**2*(4*s + 1)/3
Factor -q**2/7 + 8*q/7 - 1.
-(q - 7)*(q - 1)/7
Let -2*b**3/3 + 208*b**2/3 - 800*b/3 = 0. Calculate b.
0, 4, 100
Factor 51*v**2/4 + 1125*v/2 + 66.
3*(v + 44)*(17*v + 2)/4
Find c such that -3*c**4 - 75*c**3 - 105*c**2 + 795*c + 828 = 0.
-23, -4, -1, 3
Factor 4*v**2 + 64*v - 420.
4*(v - 5)*(v + 21)
Determine o so that -o**2/7 + 1576*o/7 - 620944/7 = 0.
788
Factor -d**5 + 5*d**4 - 2*d**3 - 14*d**2 + 3*d + 9.
-(d - 3)**2*(d - 1)*(d + 1)**2
Solve -2*m**5/17 - 8*m**4/17 + 6*m**3/17 + 4*m**2 + 104*m/17 + 48/17 = 0 for m.
-2, -1, 3
Determine l, given that 2*l**3/3 - 128*l**2/9 + 488*l/9 + 128/3 = 0.
-2/3, 6, 16
Find o, given that 3*o**3 + 36*o**2 + 63*o - 294 = 0.
-7, 2
Let -3*r**5 + 75*r**4 - 474*r**3 + 1194*r**2 - 1251*r + 459 = 0. Calculate r.
1, 3, 17
Suppose -202*p**3/25 - 38*p**2/5 + 12*p/25 = 0. What is p?
-1, 0, 6/101
Determine n, given that n**4 - 5*n**3 + 7*n**2 - 3*n = 0.
0, 1, 3
Suppose 242*t**4/7 + 14982*t**3/7 - 32048*t**2/7 + 21432*t/7 - 4608/7 = 0. What is t?
-64, 6/11, 1
Factor -2*n**3/17 - 44*n**2/17 - 42*n/17.
-2*n*(n + 1)*(n + 21)/17
Solve -18*p**5 + 78*p**4 + 130*p**3 - 302*p**2 - 232*p - 40 = 0.
-2, -1/3, 2, 5
Let 28*a**4 - 556*a**3 - 80*a**2 = 0. What is a?
-1/7, 0, 20
Determine n so that 14*n**5 + 970*n**4/3 + 4208*n**3/3 + 6608*n**2/3 + 3616*n/3 + 96 = 0.
-18, -2, -1, -2/21
Suppose 10*o**4/13 - 36*o**3/13 - 2*o**2 + 36*o/13 + 16/13 = 0. What is o?
-1, -2/5, 1, 4
Factor 4*d**2 - 208*d - 212.
4*(d - 53)*(d + 1)
Suppose -5*b**5 + 105*b**4 - 265*b**3 - 105*b**2 + 270*b = 0. Calculate b.
-1, 0, 1, 3, 18
Factor p**3/3 - 139*p**2 + 19321*p - 2685619/3.
(p - 139)**3/3
Find k, given that -2*k**5 - 682*k**4 - 56414*k**3 + 293762*k**2 - 476096*k + 239432 = 0.
-173, 1, 2
Suppose 21*r**3/2 - 2286*r**2 - 5907*r/2 - 657 = 0. Calculate r.
-1, -2/7, 219
Find f such that -3*f**4/4 - 6*f**3 - 27*f**2/2 + 81/4 = 0.
-3, 1
Factor -3*n**2 - 783*n.
-3*n*(n + 261)
Determine c so that 5*c**4 + 225*c**3 - 5*c**2 - 225*c = 0.
-45, -1, 0, 1
What is j in 45*j**4 - 4560*j**3 - 7690*j**2 - 3600*j - 515 = 0?
-1, -1/3, 103
Factor -2*d**2 - 13*d.
-d*(2*d + 13)
Find v, given that -4*v**3/3 + 920*v**2/3 - 52900*v/3 = 0.
0, 115
Find w, given that -3*w**5 + 198*w**4 + 417*w**3 - 600*w**2 - 828*w + 816 = 0.
-2, 1, 68
Factor 2*l**5/13 + 280*l**4/13 + 9800*l**3/13.
2*l**3*(l + 70)**2/13
Solve 5*g**2/4 + 115*g/4 - 435/2 = 0.
-29, 6
Suppose 2*q**4 - 14*q**3 + 32*q**2 - 24*q = 0. Calculate q.
0, 2, 3
Factor -4*r**2/5 + 12592*r/5 - 9909904/5.
-4*(r - 1574)**2/5
Suppose -v**2/3 - 99*v - 294 = 0. Calculate v.
-294, -3
Factor -5*o**4 - 120*o**3 + 15*o**2 + 350*o - 240.
-5*(o - 1)**2*(o + 2)*(o + 24)
Factor 2*w**3/19 + 4*w**2/19 - 10*w/19 - 12/19.
2*(w - 2)*(w + 1)*(w + 3)/19
Suppose -12*x**5 + 20*x**4 + 28*x**3 - 36*x**2 - 16*x + 16 = 0. What is x?
-1, 2/3, 1, 2
What is o in 15*o**5 - 10*o**4 - 35*o**3 - 10*o**2 = 0?
-1, -1/3, 0, 2
Suppose -2*q**4/5 - 84*q**3/5 - 1026*q**2/5 - 2888*q/5 = 0. What is q?
-19, -4, 0
Solve -q**5/9 + 56*q**4/9 - 530*q**3/9 + 1600*q**2/9 - 125*q = 0.
0, 1, 5, 45
Determine h so that 2*h**2/5 + 218*h/5 + 1616/5 = 0.
-101, -8
Suppose 4*l**2/3 + 116*l/3 + 841/3 = 0. What is l?
-29/2
Solve -g**4 + 12*g**3 - 36*g**2 - 32*g + 192 = 0 for g.
-2, 4, 6
Suppose 4*g**2 + 28752*g + 51667344 = 0. What is g?
-3594
Let -2*a**4/15 - 76*a**3/15 + 158*a**2/15 - 16*a/3 = 0. What is a?
-40, 0, 1
Factor 4*c**3 + 680*c**2 + 676*c.
4*c*(c + 1)*(c + 169)
Factor -6*h**3 - 32*h**2 - 30*h + 36.
-2*(h + 3)**2*(3*h - 2)
Suppose -5*l**4/2 + 75*l**3/2 - 170*l**2 + 150*l + 360 = 0. Calculate l.
-1, 4, 6
Factor 256*v**2 - 3648*v + 12996.
4*(8*v - 57)**2
Find z such that 3*z**2/5 + 258*z + 27735 = 0.
-215
Factor -t**3/2 - 3*t**2/2 + 2*t + 6.
-(t - 2)*(t + 2)*(t + 3)/2
Factor t**4/5 - 37*t**3/5 + 36*t**2/5.
t**2*(t - 36)*(t - 1)/5
Factor -3*r**5/5 - 63*r**4/5 - 414*r**3/5 - 894*r**2/5 - 783*r/5 - 243/5.
-3*(r + 1)**3*(r + 9)**2/5
Suppose 4*f**5/9 + 4*f**4/3 - 4*f**3/9 - 28*f**2/9 + 16/9 = 0. Calculate f.
-2, -1, 1
Determine g so that -g**5/4 - g**4/2 + 5*g**3/4 + 5*g**2/2 - g - 2 = 0.
-2, -1, 1, 2
Suppose 5*j**2 + 1190*j + 70805 = 0. What is j?
-119
Factor 21*b**4 - 48*b**3 - 234*b**2 - 240*b - 75.
3*(b - 5)*(b + 1)**2*(7*b + 5)
Solve -2*t**4/11 + 10*t**3/11 - 6*t**2/11 - 10*t/11 + 8/11 = 0.
-1, 1, 4
Suppose 5*r**3 + 480*r**2 + 3555*r + 3080 = 0. What is r?
-88, -7, -1
Suppose -s**5/3 + 2*s**4 + 5*s**3/3 - 14*s**2 - 40*s/3 = 0. Calculate s.
-2, -1, 0, 4, 5
Find v such that v**4/9 + 11*v**3/9 + 32*v**2/9 + 4*v/9 - 16/3 = 0.
-6, -4, -2, 1
Determine g so that -4*g**3 + 140*g**2 - 1100*g + 2500 = 0.
5, 25
Determine f, given that f**3/5 + 2*f**2/5 - 16*f/5 - 32/5 = 0.
-4, -2, 4
Factor -5*q**5 - 135*q**4 + 30*q**3 + 850*q**2 + 1095*q + 405.
-5*(q - 3)*(q + 1)**3*(q + 27)
Let 3*l**5/5 - 6*l**4 - 99*l**3/5 + 54*l**2 + 648*l/5 = 0. Calculate l.
-3, -2, 0, 3, 12
Determine j, given that j**5/4 + j**4/4 - j**3/2 - j**2/2 + j/4 + 1/4 = 0.
-1, 1
Find u such that 2*u**4 - 2*u**3 - 52*u**2 - 48*u = 0.
-4, -1, 0, 6
Find v such that -9*v**3/2 - 177*v**2 - 230*v - 76 = 0.
-38, -2/3
Factor -v**5/3 - 100*v**4/3 - 3265*v**3/3 - 32470*v**2/3 + 75140*v/3 - 39304/3.
-(v - 1)**2*(v + 34)**3/3
Factor -s**3/11 - 46*s**2/11 + 1217*s/11 - 1170/11.
-(s - 18)*(s - 1)*(s + 65)/11
Factor 2*m**4/9 - 4*m**3/9 - 10*m**2/3.
2*m**2*(m - 5)*(m + 3)/9
Find z, given that z**2/6 + 224*z/3 - 449/6 = 0.
-449, 1
Solve -3*j**3 + 1728*j**2 - 331776*j + 21233664 = 0.
192
Factor -2*d**3/13 + 2*d - 24/13.
-2*(d - 3)*(d - 1)*(d + 4)/13
Let 80*v**3/7 - 22*v**2/7 - 4*v/7 = 0. Calculate v.
-1/8, 0, 2/5
Factor -4*x**3 + 804*x**2 - 800*x.
-4*x*(x - 200)*(x - 1)
Factor 15*m**5 - 456*m**4 + 4680*m**3 - 16800*m**2 + 6000*m.
3*m*(m - 10)**3*(5*m - 2)
Let 3*z**3 - 45*z**2 - 54*z + 96 = 0. What is z?
-2, 1, 16
Factor 2*x**2 - 34*x + 84.
2*(x - 14)*(x - 3)
Let -2*a**2/5 + 6*a/5 - 4/5 = 0. Calculate a.
1, 2
Factor 2*m**2/7 - 2*m.
2*m*(m - 7)/7
Factor 4*i**4/5 - 64*i**3/5 + 16*i**2 + 320*i.
4*i