j**2 + 908*j + 103058.
2*(j + 227)**2
Suppose 2*a**4/9 + 20*a**3/9 - 362*a**2/9 - 380*a/9 = 0. What is a?
-19, -1, 0, 10
Let -3*t**2 + 15*t + 42 = 0. What is t?
-2, 7
Factor 3*c**3/8 - 867*c/8.
3*c*(c - 17)*(c + 17)/8
Factor -2*r**5/5 - 6*r**4/5.
-2*r**4*(r + 3)/5
Suppose -4*d**5/3 + 36*d**3 + 88*d**2/3 - 256*d - 384 = 0. Calculate d.
-3, -2, 4
Suppose 4*k**4 - 824*k**3 - 1660*k**2 - 832*k = 0. Calculate k.
-1, 0, 208
Factor 8*r**2 - 132*r + 1089/2.
(4*r - 33)**2/2
Factor 10*y**2/9 - 6*y + 20/9.
2*(y - 5)*(5*y - 2)/9
Factor 4*u**5 + 4*u**4 - 32*u**3 - 48*u**2.
4*u**2*(u - 3)*(u + 2)**2
Factor -3*c**2 + 13086*c - 14270283.
-3*(c - 2181)**2
Let x**2/4 - 2943*x/2 + 8661249/4 = 0. Calculate x.
2943
Factor -3*a**3/4 - 13*a**2/2 + 75*a/4 - 11/2.
-(a - 2)*(a + 11)*(3*a - 1)/4
Solve 2*o**4/15 + 4*o**3/5 + 8*o**2/15 - 4*o/5 - 2/3 = 0 for o.
-5, -1, 1
Suppose 18*i**5 + 31*i**4 - 74*i**3 - 57*i**2 + 122*i - 40 = 0. What is i?
-20/9, -2, 1/2, 1
Factor 5*j**4 - 405*j**2 - 1960*j - 2640.
5*(j - 11)*(j + 3)*(j + 4)**2
Factor -4*a**3/5 + 232*a**2/5 + 96*a.
-4*a*(a - 60)*(a + 2)/5
Find p such that -2*p**3/9 + 8*p**2 - 70*p/9 = 0.
0, 1, 35
Factor r**4 - 15*r**3 + 14*r**2.
r**2*(r - 14)*(r - 1)
Factor 3*t**4 - 234*t**3 + 681*t**2 - 450*t.
3*t*(t - 75)*(t - 2)*(t - 1)
Let -2*z**2 + 592*z = 0. What is z?
0, 296
Factor k**5/4 - k**4/2 - 3*k**3/4 + 2*k**2 - k.
k*(k - 2)*(k - 1)**2*(k + 2)/4
Suppose -z**5/3 - 73*z**4/3 - 212*z**3/3 - 140*z**2/3 = 0. Calculate z.
-70, -2, -1, 0
Factor 2*y**3/15 + 2*y**2 - 22*y/5 + 34/15.
2*(y - 1)**2*(y + 17)/15
Factor 3*s**3/7 + 3*s**2 - 123*s/7 + 99/7.
3*(s - 3)*(s - 1)*(s + 11)/7
Solve 2*p**5 - p**4 - 19*p**3 + 9*p**2 + 9*p = 0.
-3, -1/2, 0, 1, 3
Solve -3*m**3 + 15*m**2 + 372*m - 780 = 0.
-10, 2, 13
Find x such that 4*x**2 + 116*x + 400 = 0.
-25, -4
Factor -4*a**4 - 108*a**3 + 348*a**2 - 356*a + 120.
-4*(a - 1)**3*(a + 30)
Suppose -2*w**3 - 180*w**2 - 354*w - 176 = 0. Calculate w.
-88, -1
Solve 15*p**2 - 1692*p - 339 = 0 for p.
-1/5, 113
Determine a so that -2*a**2/13 + 2956*a/13 - 1092242/13 = 0.
739
Determine z so that -121*z**3/3 + 1441*z**2/3 - 1640*z + 1200 = 0.
1, 60/11
Suppose u**3/3 - 391*u**2/3 + 12408*u + 65340 = 0. Calculate u.
-5, 198
Determine p, given that 3*p**2/7 + 1464*p/7 + 178608/7 = 0.
-244
Solve 3*u**4/2 - 57*u**3/4 + 33*u**2 - 27*u/4 - 27/2 = 0 for u.
-1/2, 1, 3, 6
Solve 4*t**3/3 - 32*t**2 - 36*t + 200/3 = 0.
-2, 1, 25
Factor 27*m**3/4 - 267*m**2/2 + 645*m + 150.
3*(m - 10)**2*(9*m + 2)/4
What is i in -3*i**5 + 25*i**4 + 22*i**3 - 34*i**2 - 19*i + 9 = 0?
-1, 1/3, 1, 9
Solve a**3 - 75*a**2 + 1443*a - 1369 = 0.
1, 37
Determine m, given that 7*m**5/2 - 67*m**4/8 + 23*m**3/8 - m**2/4 = 0.
0, 1/7, 1/4, 2
Factor -2*c**2/5 - 408*c/5 - 406/5.
-2*(c + 1)*(c + 203)/5
Factor 4*y**3 + 96*y**2 + 468*y - 1352.
4*(y - 2)*(y + 13)**2
Factor -2*x**4 - 82*x**3 - 444*x**2 - 856*x - 560.
-2*(x + 2)**3*(x + 35)
Factor 25*b**4/2 - 545*b**3 - 220*b**2.
5*b**2*(b - 44)*(5*b + 2)/2
What is f in -81*f**5 - 162*f**4 - 27*f**3 + 138*f**2 + 108*f + 24 = 0?
-1, -2/3, 1
Solve -6*u**4/7 + 54*u**3/7 + 60*u**2/7 = 0 for u.
-1, 0, 10
Suppose 4*x**2 - 932*x + 928 = 0. Calculate x.
1, 232
Solve 8*h**2 - 696*h + 15138 = 0 for h.
87/2
Factor -5*c**3/7 - 113*c**2/7 - 426*c/7 - 216/7.
-(c + 4)*(c + 18)*(5*c + 3)/7
What is y in 20*y**2 + 585*y + 145 = 0?
-29, -1/4
Let 5*w**5/4 + 5*w**4/2 - 25*w**3/4 - 25*w**2/2 + 5*w + 10 = 0. Calculate w.
-2, -1, 1, 2
Let -w**5/5 + 8*w**3/5 - 6*w**2/5 - 7*w/5 + 6/5 = 0. What is w?
-3, -1, 1, 2
Solve u**4/9 + 2*u**3/9 - 4*u**2/9 - 8*u/9 = 0 for u.
-2, 0, 2
Determine i, given that 4*i**5 - 24*i**4 + 44*i**3 - 8*i**2 - 48*i + 32 = 0.
-1, 1, 2
Suppose -2*j**2/3 - 128*j/3 + 130/3 = 0. What is j?
-65, 1
Determine d so that 3*d**4/4 + 23*d**3 - 447*d**2/4 + 73*d + 105 = 0.
-35, -2/3, 2, 3
Determine x so that -2*x**4/3 + 16*x**3/3 + 68*x**2/3 - 400*x/3 - 150 = 0.
-5, -1, 5, 9
Solve t**2/4 + 1621*t + 2627641 = 0.
-3242
Let -2*b**2/9 - 28*b/9 - 98/9 = 0. What is b?
-7
Factor -2*r**3/13 + 372*r**2/13 + 750*r/13 + 376/13.
-2*(r - 188)*(r + 1)**2/13
Let -s**2 + 210*s + 424 = 0. Calculate s.
-2, 212
Factor 14*c**2/3 - 76*c + 64/3.
2*(c - 16)*(7*c - 2)/3
Factor -3*r**2 + 30*r + 33.
-3*(r - 11)*(r + 1)
Find s, given that 3*s**4/7 - 159*s**3/7 + 2571*s**2/7 - 11937*s/7 + 9522/7 = 0.
1, 6, 23
Solve 14*b**5/13 + 46*b**4/13 - 212*b**3/13 + 8*b**2 + 48*b/13 = 0 for b.
-6, -2/7, 0, 1, 2
Solve -3*d**5/5 - 252*d**4/5 - 99*d**3 - 246*d**2/5 = 0 for d.
-82, -1, 0
Solve -n**4/3 - 19*n**3/3 - 23*n**2/3 + 379*n/3 - 112 = 0 for n.
-16, -7, 1, 3
Factor 235*b**2 + 239*b + 4.
(b + 1)*(235*b + 4)
Let -w**5 + 7*w**4 - 7*w**3 - 19*w**2 + 16*w + 20 = 0. What is w?
-1, 2, 5
Factor 4*y**3/7 - 984*y**2/7 - 2980*y/7 - 1992/7.
4*(y - 249)*(y + 1)*(y + 2)/7
Solve m**3/2 - 269*m**2/2 + 17955*m/2 + 18225/2 = 0 for m.
-1, 135
Solve 3*x**2/5 + 162*x/5 + 336 = 0.
-40, -14
Determine h so that h**3/2 + 135*h**2/2 + 4623*h/2 + 4489/2 = 0.
-67, -1
Let -3*w**3/7 + 9*w**2/7 + 12*w - 180/7 = 0. Calculate w.
-5, 2, 6
Factor -3*u**2 - 36*u + 84.
-3*(u - 2)*(u + 14)
Suppose 2*f**3 + 28*f**2 - 240*f = 0. What is f?
-20, 0, 6
Factor 6*h**2 + 555*h - 279.
3*(h + 93)*(2*h - 1)
Suppose f**3/3 + 520*f**2/3 + 67600*f/3 = 0. Calculate f.
-260, 0
Solve 13*v**3/4 - 305*v**2 + 28529*v/4 + 2209/2 = 0.
-2/13, 47
Solve v**3/3 + 5*v**2/3 - 14*v/3 = 0.
-7, 0, 2
Find n such that -2*n**2 - 1132*n - 160178 = 0.
-283
Solve 2*i**2/19 - 34*i/19 + 140/19 = 0.
7, 10
Factor v**2 + 3*v - 10.
(v - 2)*(v + 5)
Factor 16*u**2/3 - 84*u - 64/3.
4*(u - 16)*(4*u + 1)/3
Factor -i**3/2 - 11*i**2 - 117*i/2 - 90.
-(i + 3)*(i + 4)*(i + 15)/2
What is u in 5*u**4 + 1330*u**3 + 87060*u**2 - 190280*u - 718240 = 0?
-134, -2, 4
What is o in -2*o**4/9 - 16*o**3/3 + 158*o**2/9 - 12*o = 0?
-27, 0, 1, 2
Find l, given that -2*l**3/3 - 18*l**2 - 112*l + 392/3 = 0.
-14, 1
Determine h so that 3*h**3 - 2559*h**2 + 544425*h + 546987 = 0.
-1, 427
Solve -2*u**5 - 2*u**4 + 4*u**3 + 4*u**2 - 2*u - 2 = 0.
-1, 1
Solve 3*p**4 - 20*p**3 - 283*p**2 - 344*p - 84 = 0.
-6, -1, -1/3, 14
Factor -g**4/2 - g**3 + g + 1/2.
-(g - 1)*(g + 1)**3/2
Factor 4*o**3/5 - 12*o**2/5 + 12*o/5 - 4/5.
4*(o - 1)**3/5
Find f, given that 60*f**5/7 + 1128*f**4/7 + 1887*f**3/7 + 867*f**2/7 - 3*f/7 - 51/7 = 0.
-17, -1, -1/2, 1/5
Let -5*h**5 - 460*h**4 + 465*h**3 = 0. What is h?
-93, 0, 1
Suppose 3*o**2 + 102*o - 333 = 0. What is o?
-37, 3
Suppose -q**5/2 + 309*q**4 - 48959*q**3 + 376068*q**2 - 1212985*q/2 + 279075 = 0. What is q?
1, 6, 305
Determine n so that 5*n**3 - 55*n**2 + 130*n - 80 = 0.
1, 2, 8
Let 5*m**4 + 5*m**3 - 20*m**2 - 20*m = 0. What is m?
-2, -1, 0, 2
Factor -o**5 - 16*o**4 + 66*o**3 + 1040*o**2 - 4225*o.
-o*(o - 5)**2*(o + 13)**2
Suppose g**3/3 + 29*g**2/3 + 24*g - 756 = 0. What is g?
-18, 7
Determine z so that 3*z**5 + 30*z**4 + 99*z**3 + 120*z**2 + 48*z = 0.
-4, -1, 0
Determine y, given that -3*y**5 + 9*y**4 + 1290*y**3 - 17334*y**2 + 70713*y - 54675 = 0.
-25, 1, 9
Factor -2*w**4/3 - 16*w**3/3.
-2*w**3*(w + 8)/3
Let 4*q**4/3 - 56*q**3/3 + 208*q**2/3 - 88*q + 36 = 0. Calculate q.
1, 3, 9
Solve 4*q**4/5 - 368*q**3/5 + 1068*q**2/5 = 0.
0, 3, 89
Suppose 2*z**4/11 + 52*z**3/11 + 258*z**2/11 + 368*z/11 + 160/11 = 0. Calculate z.
-20, -4, -1
Determine k so that -k**3/6 - 41*k**2/3 + 83*k/6 = 0.
-83, 0, 1
Factor i**3/6 + 9*i**2/2 - 140*i + 2350/3.
(i - 10)**2*(i + 47)/6
Factor -3*l**2/4 + 39*l/4 + 36.
-3*(l - 16)*(l + 3)/4
Factor 4*m**3 - 64*m**2 - 144*m.
4*m*(m - 18)*(m + 2)
What is b in -5*b**2 + 25*b + 30 = 0?
-1, 6
Let -3*c**2 + 254*c/3 - 56/3 = 0. Calculate c.
2/9, 28
What is j in 15*j**4 + 609*j**3 - 900*j**2 - 756*j = 0?
-42, -3/5, 0, 2
Factor -2*a**5/9 - 730*a**4/9 - 22082*a**3/3 + 7442*a**2.
-2*a**2*(a - 1)*(a + 183)**2/9
Let -5*c**4 - 15*c**3 + 15*c**2 + 55*c + 30 = 0. Calculate c.
-3, -1, 2
Find d, given that 3*d**3 + 3*d**2 - 120*d - 336 = 0.
-4, 7
Suppose 12*b**5 + 44*b**4 - 12*b**3 - 108*b**2 + 16*b + 48 = 0. What is b?
-3, -2, -2/3, 1
Factor 45*l**3 - 1925*l**2 + 1460*l + 420.
5*(l - 42)*(l - 1)*(9*l + 2)
Determine n, given that -5*n**4 - 60*n**3 - 185*n**2 - 210*n - 80 = 0.
-8, -2, -1
Solve -2*m**3/5 - 18*m**2 - 864*m/5 + 3456/5 = 0.
-24, 3
Factor -i**2/4 - 7*i/4.
-i*(i + 7)/4
Factor v**2/7 + 3791*v/7.
v*(v + 3791)/7
Factor 2*y**2 - 