2*h*(h + 1)**2*(h + 3)
Factor 10*m**2 + 294*m + 116.
2*(m + 29)*(5*m + 2)
Suppose -3*b**2 - 432*b + 1323 = 0. What is b?
-147, 3
Factor -t**2/3 - 1081*t/3 + 722.
-(t - 2)*(t + 1083)/3
Solve 36*c**5/5 - 21*c**4/5 - 33*c**3/5 + 21*c**2/5 - 3*c/5 = 0.
-1, 0, 1/4, 1/3, 1
Factor -14*k**3/11 + 816*k**2/11 - 232*k/11.
-2*k*(k - 58)*(7*k - 2)/11
What is t in -t**3/5 + 133*t**2/5 + 54*t = 0?
-2, 0, 135
Let 2*u**3 - 60*u**2 - 1862*u = 0. Calculate u.
-19, 0, 49
Determine b, given that -4*b**2/7 + 412*b/7 + 416/7 = 0.
-1, 104
Determine i, given that -3*i**3 - 6*i**2 + 252*i + 1080 = 0.
-6, 10
Let 605*p**4 + 5720*p**3 + 2190*p**2 - 2520*p + 405 = 0. Calculate p.
-9, -1, 3/11
Factor 3*o**3 - 27*o**2 - 36*o + 60.
3*(o - 10)*(o - 1)*(o + 2)
Find j such that 3*j**4/5 - 249*j**3/5 + 93*j**2 + 1689*j/5 + 972/5 = 0.
-1, 4, 81
Factor -p**5/4 - 7*p**4/4 - 2*p**3 + 4*p**2.
-p**2*(p - 1)*(p + 4)**2/4
Find z, given that -2*z**3 - 312*z**2 - 12768*z - 46208 = 0.
-76, -4
Determine s so that 1526*s**2/5 - 1538*s/5 + 12/5 = 0.
6/763, 1
Determine j, given that -j**2/2 + 42*j = 0.
0, 84
Suppose 5*i**5 + 85*i**4 - 90*i**3 = 0. Calculate i.
-18, 0, 1
Suppose c**3/6 + 232*c**2/3 + 463*c/6 = 0. What is c?
-463, -1, 0
Factor 2*x**4/5 + 24*x**3/5 + 86*x**2/5 + 24*x + 56/5.
2*(x + 1)*(x + 2)**2*(x + 7)/5
Find c, given that -5*c**5 + 15*c**4 + 25*c**3 - 75*c**2 - 20*c + 60 = 0.
-2, -1, 1, 2, 3
Factor -j**2 + 73*j - 276.
-(j - 69)*(j - 4)
Find i such that 2*i**3/5 - 42*i**2/5 + 262*i/5 - 462/5 = 0.
3, 7, 11
Suppose 5*c**2 - 80*c - 85 = 0. What is c?
-1, 17
Factor -3*m**3/4 + 63*m**2/2 - 117*m/4 - 123/2.
-3*(m - 41)*(m - 2)*(m + 1)/4
Suppose -2*x**2/7 + 52*x/7 - 338/7 = 0. Calculate x.
13
Factor d**2 + 24*d - 52.
(d - 2)*(d + 26)
Suppose -4*f**3 - 2276*f**2 - 9052*f - 6780 = 0. What is f?
-565, -3, -1
Solve i**3 - 135*i**2 + 4488*i + 4624 = 0 for i.
-1, 68
Find r such that 5*r**3 - 95*r**2 - 830*r + 2000 = 0.
-8, 2, 25
Solve a**3/3 + 380*a**2/3 + 12159*a + 23814 = 0 for a.
-189, -2
Factor d**2/8 - 3419*d/2 + 11689561/2.
(d - 6838)**2/8
Determine x, given that x**2/4 - 15*x/4 + 9 = 0.
3, 12
Suppose -27*w**5/8 - 225*w**4/4 - 753*w**3/4 + 879*w**2/2 + 2781*w/8 + 243/4 = 0. Calculate w.
-9, -1/3, 2
Factor w**3 + 159*w**2 - 486*w.
w*(w - 3)*(w + 162)
Factor 4*r**2 - 88*r + 484.
4*(r - 11)**2
Solve -27*g**5/5 + 858*g**4/5 + 219*g**3/5 - 858*g**2/5 - 192*g/5 = 0.
-1, -2/9, 0, 1, 32
Let f**2/3 - 40*f/3 + 13 = 0. What is f?
1, 39
Factor 4*d**3 + 24*d**2 - 276*d - 616.
4*(d - 7)*(d + 2)*(d + 11)
Factor 4*w**3 + 80*w**2.
4*w**2*(w + 20)
Determine i, given that -2*i**3/3 + 160*i**2 - 9758*i + 56644/3 = 0.
2, 119
Solve m**3/3 + 5*m**2/3 - 88*m/3 + 208/3 = 0.
-13, 4
Factor -f**2/3 + 998*f/3 - 997/3.
-(f - 997)*(f - 1)/3
Factor c**5/9 - c**4/3 + c**3/9 + c**2/3 - 2*c/9.
c*(c - 2)*(c - 1)**2*(c + 1)/9
Factor -2*w**5/3 - 74*w**4/3 - 230*w**3/3 + 3174*w**2.
-2*w**2*(w - 9)*(w + 23)**2/3
Determine y so that -4*y**5 - 1720*y**4 - 247096*y**3 - 11938784*y**2 - 11206052*y + 23393656 = 0.
-143, -2, 1
Factor s**2/7 + 20*s/7 + 75/7.
(s + 5)*(s + 15)/7
Let -2*q**4/7 + 48*q**3/7 - 52*q**2 + 720*q/7 + 162 = 0. What is q?
-1, 7, 9
Solve -2*a**5/5 + 62*a**4/5 - 118*a**3/5 + 58*a**2/5 = 0 for a.
0, 1, 29
Factor r**3/2 + 53*r**2/2 + 51*r.
r*(r + 2)*(r + 51)/2
Factor -5*a**4 + 4555*a**3 - 1377075*a**2 + 136281625*a + 567452500.
-5*(a - 305)**3*(a + 4)
Factor q**3/7 + 16*q**2/7 - 5*q + 18/7.
(q - 1)**2*(q + 18)/7
Let 70*o**3/3 + 22*o**2/3 - 208*o/3 + 56/3 = 0. What is o?
-2, 2/7, 7/5
Let -9*g**3 + 132*g**2 - 85*g + 14 = 0. What is g?
1/3, 14
Let 2*s**4/11 - 6*s**3/11 - 2*s**2 + 6*s/11 + 20/11 = 0. What is s?
-2, -1, 1, 5
Factor -k**3/4 + 25*k**2/4 + 18*k - 891.
-(k - 18)**2*(k + 11)/4
Find g, given that 2*g**2/9 + 4*g/3 = 0.
-6, 0
Solve -2*l**3 + 1186*l**2 - 4720*l + 4712 = 0 for l.
2, 589
Factor -2*i**2 - 572*i + 1152.
-2*(i - 2)*(i + 288)
What is a in 4*a**3 - 508*a**2 + 15872*a + 16384 = 0?
-1, 64
Factor 5*k**4 - 65*k**3 + 165*k**2 - 155*k + 50.
5*(k - 10)*(k - 1)**3
Factor 5*z**2 + 130*z + 845.
5*(z + 13)**2
Factor 3*w**2 - 228*w.
3*w*(w - 76)
Factor 12*g**4 - 40*g**3 - 32*g**2.
4*g**2*(g - 4)*(3*g + 2)
Factor 4*m**2/7 - 1312*m/7 - 188.
4*(m - 329)*(m + 1)/7
What is c in c**3/4 - 233*c**2/2 + 929*c/4 - 116 = 0?
1, 464
Factor -2*i**3/9 - 16*i**2/3 - 74*i/3 + 272/9.
-2*(i - 1)*(i + 8)*(i + 17)/9
Factor -t**5/3 + t**3/3.
-t**3*(t - 1)*(t + 1)/3
What is o in -3*o**2 + 2448*o - 499392 = 0?
408
Find y, given that -5*y**2 + 145*y + 150 = 0.
-1, 30
Factor -2*y**2 - 34*y - 32.
-2*(y + 1)*(y + 16)
Factor -s**3/8 + 19*s**2/8 - 45*s/4 + 9.
-(s - 12)*(s - 6)*(s - 1)/8
Find u, given that -2*u**4/7 + 16*u**3/7 - 2*u**2/7 - 12*u = 0.
-2, 0, 3, 7
Solve 4*t**5 - 100*t**4 - 168*t**3 + 1744*t**2 - 2080*t = 0.
-5, 0, 2, 26
Solve -b**5 - 5*b**4 + 31*b**3 - 43*b**2 + 18*b = 0 for b.
-9, 0, 1, 2
Find f such that -21*f**5 - 384*f**4 - 2040*f**3 - 2190*f**2 + 3501*f + 1134 = 0.
-9, -7, -3, -2/7, 1
Factor 4*u**2 + 448*u.
4*u*(u + 112)
Suppose -b**3/7 - 51*b**2 + 717*b/7 - 359/7 = 0. Calculate b.
-359, 1
Factor -m**4 - 17*m**3 - 44*m**2 - 28*m.
-m*(m + 1)*(m + 2)*(m + 14)
Let x**5 - 37*x**4 + 393*x**3 - 935*x**2 + 578*x = 0. What is x?
0, 1, 2, 17
Suppose -4*x**3 + 6*x**2 + 34*x + 24 = 0. Calculate x.
-3/2, -1, 4
Factor -8*n**2/9 + 1748*n/9 + 292/3.
-4*(n - 219)*(2*n + 1)/9
Determine c, given that 3*c**4 - 12*c**3 + 9*c**2 + 12*c - 12 = 0.
-1, 1, 2
Factor 3*n**5/4 - 12*n**3 - 57*n**2/2 - 99*n/4 - 15/2.
3*(n - 5)*(n + 1)**3*(n + 2)/4
Solve 2*k**4 + 2*k**3 - 8*k**2 - 8*k = 0.
-2, -1, 0, 2
Factor 2*c**3 - 1114*c**2 + 2214*c + 3330.
2*(c - 555)*(c - 3)*(c + 1)
Factor 2*z**2/7 - 106*z/7 - 108/7.
2*(z - 54)*(z + 1)/7
Factor 5*g**3 + 15*g**2 - 50*g.
5*g*(g - 2)*(g + 5)
Determine d, given that -d**5/3 - 8*d**4/3 - 7*d**3 - 22*d**2/3 - 8*d/3 = 0.
-4, -2, -1, 0
Factor -2*r**3/7 - 268*r**2/7 - 9490*r/7 - 33800/7.
-2*(r + 4)*(r + 65)**2/7
Suppose -2*r**2/5 - 2088*r/5 - 544968/5 = 0. Calculate r.
-522
Determine r, given that -5*r**2 - 325*r = 0.
-65, 0
Solve 3*b**2 - 249*b + 246 = 0 for b.
1, 82
Determine x so that -64*x**4/7 + 144*x**3/7 - 81*x**2/7 = 0.
0, 9/8
Let 2*x**5 + 682*x**4 + 76598*x**3 + 2727110*x**2 - 11849600*x + 12167000 = 0. What is x?
-115, 2
Factor 180*o**4 - 300*o**3 + 65*o**2 + 50*o + 5.
5*(o - 1)**2*(6*o + 1)**2
Find r, given that -7*r**4/3 + 4*r**3/3 + 7*r**2/3 - 4*r/3 = 0.
-1, 0, 4/7, 1
Factor 3*p**3 - 6*p**2 - 3*p + 6.
3*(p - 2)*(p - 1)*(p + 1)
Solve 2*i**5/13 + 14*i**4/13 + 30*i**3/13 + 2*i**2 + 8*i/13 = 0.
-4, -1, 0
Find y, given that 2*y**2 + 35*y/6 + 3 = 0.
-9/4, -2/3
Factor -5*q**2 + 810*q + 2475.
-5*(q - 165)*(q + 3)
Factor 3*b**2 + 2358*b + 463347.
3*(b + 393)**2
Factor 4*p**3/7 + 22*p**2 + 76*p/7.
2*p*(p + 38)*(2*p + 1)/7
Factor -28*y**2/5 + 1744*y/5 - 496/5.
-4*(y - 62)*(7*y - 2)/5
Factor 3*i**5 + 9*i**4 - 6*i**3 - 36*i**2 - 24*i.
3*i*(i - 2)*(i + 1)*(i + 2)**2
Factor 52*j**2 - 168*j.
4*j*(13*j - 42)
Determine p so that -p**5/2 + 33*p**4 - 65*p**3/2 = 0.
0, 1, 65
Let 2*k**3/5 - 2*k**2/5 - 2*k - 6/5 = 0. Calculate k.
-1, 3
Solve 4*q**2 - 120*q = 0 for q.
0, 30
Let -2*y**2 + 62*y - 116 = 0. Calculate y.
2, 29
Find f, given that 2*f**4/7 - 104*f**3/7 + 1244*f**2/7 + 2808*f/7 + 1458/7 = 0.
-1, 27
What is j in -j**2/10 - 83*j/5 + 507/10 = 0?
-169, 3
Factor 5*z**2 + 365*z + 710.
5*(z + 2)*(z + 71)
Factor -65*m**5 + 250*m**4 - 350*m**3 + 200*m**2 - 25*m - 10.
-5*(m - 1)**4*(13*m + 2)
Factor -2*a**3 + 6*a**2.
-2*a**2*(a - 3)
Solve -2*w**3 + 28*w**2 + 1360*w = 0 for w.
-20, 0, 34
Determine r so that -2*r**2 - 256*r - 254 = 0.
-127, -1
Factor 2*s**3/13 - 370*s**2/13 + 17296*s/13 - 16928/13.
2*(s - 92)**2*(s - 1)/13
Factor -4*m**3 + 44*m**2 - 16*m - 240.
-4*(m - 10)*(m - 3)*(m + 2)
Factor -3*i**2/4 + 429*i/4 - 213/2.
-3*(i - 142)*(i - 1)/4
Factor r**4/2 + 93*r**3 + 8833*r**2/2 + 8556*r + 4232.
(r + 1)**2*(r + 92)**2/2
Factor -p**2 + 90*p - 89.
-(p - 89)*(p - 1)
Factor 4*j**4 - 220*j**3 + 212*j**2 + 220*j - 216.
4*(j - 54)*(j - 1)**2*(j + 1)
Determine c so that -2*c**3/11 + 38*c**2/11 - 96*c/11 = 0.
0, 3, 16
Factor -48*i**4 - 4392*i**3 - 99363*i**2 + 50508*i - 6348.
-3*(i + 46)**2*(4*i - 1)**2
Factor 3*c**5 - 12*c**3 + 6*c**2 + 9*c - 6.
3*(c - 1)**3*(c + 1)*(c + 2)
Suppose -3*x**4 + 30*x**3 + 204*x**2 + 306*x + 135 = 0. What is