(t - 1)*(t + 1)*(5*t + 3)/3
Suppose -18*p**3 - 40*p**2 - 8*p = 0. What is p?
-2, -2/9, 0
Let 4*s**3/5 + 554*s**2/5 - 1982*s/5 + 852/5 = 0. What is s?
-142, 1/2, 3
Factor 4*i**2 + 1624*i + 164836.
4*(i + 203)**2
Let 2*k**2/9 - 22*k/9 + 16/3 = 0. What is k?
3, 8
Factor -16*f**5 - 76*f**4 - 51*f**3 - 49*f**2/4 - f.
-f*(f + 4)*(4*f + 1)**3/4
Factor -3*b**2 - 3318*b - 917427.
-3*(b + 553)**2
Suppose -g**5/6 + g**4 - 3*g**3/2 + 2*g**2/3 = 0. What is g?
0, 1, 4
Factor d**4/5 - 103*d**3/5 + 520*d**2 + 2704*d/5.
d*(d - 52)**2*(d + 1)/5
Solve 4*w**4 + 36*w**3 + 36*w**2 - 340*w - 600 = 0.
-5, -2, 3
Factor t**5/4 + 93*t**4/2 + 2208*t**3 + 4232*t**2.
t**2*(t + 2)*(t + 92)**2/4
Determine w so that 4*w**5 - 1668*w**4 + 173052*w**3 + 174724*w**2 = 0.
-1, 0, 209
Find p, given that -4*p**2 - 632*p - 24964 = 0.
-79
Factor 665523*w**3 + 1329633*w**2 - 11301*w/4 + 3/2.
3*(w + 2)*(942*w - 1)**2/4
Factor 10*p**2 + 236*p - 96.
2*(p + 24)*(5*p - 2)
Factor -2*x**3 + 18*x**2 - 40*x.
-2*x*(x - 5)*(x - 4)
Factor -w**2/2 + 5*w - 9/2.
-(w - 9)*(w - 1)/2
Factor -3*k**5 + 36*k**4 - 90*k**3 + 84*k**2 - 27*k.
-3*k*(k - 9)*(k - 1)**3
Determine t so that 4*t**2 + 124*t = 0.
-31, 0
Factor 15*c**4 - 126*c**3 + 228*c**2 - 72*c.
3*c*(c - 6)*(c - 2)*(5*c - 2)
Find v, given that -10*v**2 + 435*v/2 + 575/2 = 0.
-5/4, 23
Factor -x**4/5 + 2*x**2/5 - 1/5.
-(x - 1)**2*(x + 1)**2/5
Factor -4*z**2 - 1216*z - 1212.
-4*(z + 1)*(z + 303)
Find l such that -l**4 - 6*l**3 - 4*l**2 + 6*l + 5 = 0.
-5, -1, 1
Suppose 5*s**5 + 410*s**4 + 10805*s**3 + 100400*s**2 + 170000*s + 80000 = 0. What is s?
-40, -20, -1
What is h in 10*h**4 - 4434*h**3 + 1772*h**2 = 0?
0, 2/5, 443
What is c in 5*c**4 - 140*c**3 + 1200*c**2 - 2880*c = 0?
0, 4, 12
Find r, given that 3*r**2/8 + 117*r/4 + 4563/8 = 0.
-39
Factor -j**3 - 450*j**2 - 897*j - 448.
-(j + 1)**2*(j + 448)
Factor 2*n**5/3 - 32*n**4/3 + 28*n**3 + 784*n**2/3 - 3430*n/3.
2*n*(n - 7)**3*(n + 5)/3
Factor -5*l**4 + 180*l**3 - 1790*l**2 + 3060*l - 1445.
-5*(l - 17)**2*(l - 1)**2
Determine y, given that 12*y**2 - 176*y + 112 = 0.
2/3, 14
Factor 2*b**4 - 6032*b**3 + 4542092*b**2 + 9102288*b + 4554162.
2*(b - 1509)**2*(b + 1)**2
What is v in 2*v**3 + 546*v**2 + 544*v = 0?
-272, -1, 0
Factor -4*r**4 - 48*r**3 - 80*r**2.
-4*r**2*(r + 2)*(r + 10)
Find x, given that -2*x**2/5 - 196*x/5 - 186 = 0.
-93, -5
Factor t**2/3 - 7*t/3 + 2.
(t - 6)*(t - 1)/3
Factor -k**2/4 - 27*k/4 - 81/2.
-(k + 9)*(k + 18)/4
Solve -48*h**4/7 - 5832*h**3/7 - 14211*h**2/7 + 8202*h/7 - 153 = 0.
-119, -3, 1/4
Determine i, given that 2*i**4/5 - 4*i**3/5 - 16*i**2/5 = 0.
-2, 0, 4
Factor -8*j**3 + 451*j**2/8 - 405*j/8 + 9/4.
-(j - 6)*(j - 1)*(64*j - 3)/8
Suppose r**2/5 + 28*r/5 - 29/5 = 0. What is r?
-29, 1
What is x in 2*x**5/7 + 102*x**4/7 - 218*x**3/7 - 310*x**2/7 + 432*x/7 + 424/7 = 0?
-53, -1, 2
Factor 4*j**2 - 76*j - 80.
4*(j - 20)*(j + 1)
What is s in -5*s**3 - 7335*s**2 - 29280*s - 29260 = 0?
-1463, -2
Factor 3*s**2 - 132*s - 276.
3*(s - 46)*(s + 2)
Let 3*i**2/4 + 69*i/2 - 72 = 0. Calculate i.
-48, 2
Factor 5*d**2 - 120*d + 115.
5*(d - 23)*(d - 1)
Factor 4*i**2/5 - 144*i - 8404/5.
4*(i - 191)*(i + 11)/5
Solve y**2 + 48*y - 208 = 0.
-52, 4
Factor 4*z**3 + 584*z**2 + 21316*z.
4*z*(z + 73)**2
Solve 2*p**5/9 - 104*p**4/9 + 484*p**3/3 - 2600*p**2/9 + 1250*p/9 = 0 for p.
0, 1, 25
Factor -10*b**2 - 195*b - 95.
-5*(b + 19)*(2*b + 1)
What is n in 10*n**5/13 + 236*n**4/13 - 3162*n**3/13 - 1980*n**2/13 = 0?
-33, -3/5, 0, 10
Factor c**2/5 - 11*c + 50.
(c - 50)*(c - 5)/5
Factor s**3 + 2*s**2 - 7*s + 4.
(s - 1)**2*(s + 4)
Suppose 2*l**5 + 6*l**4 - 54*l**3 - 62*l**2 + 252*l - 144 = 0. What is l?
-6, -3, 1, 4
Suppose 4*q**5 - 72*q**4 - 452*q**3 - 216*q**2 + 736*q = 0. Calculate q.
-4, -2, 0, 1, 23
Find g such that 4*g**4 - 436*g**3 + 14568*g**2 - 129904*g - 321632 = 0.
-2, 19, 46
Find k such that -20*k**2 - 308*k - 120 = 0.
-15, -2/5
Solve -2*m**5 - 54*m**4 - 98*m**3 + 54*m**2 + 100*m = 0.
-25, -2, -1, 0, 1
Find h such that -676*h**2 - 127296*h - 5992704 = 0.
-1224/13
Solve -81*q**5 - 6498*q**4/5 - 15951*q**3/5 + 1386*q**2/5 + 4764*q/5 - 936/5 = 0 for q.
-13, -3, -2/3, 2/9, 2/5
Factor i**2/8 + 549*i/4 - 1099/8.
(i - 1)*(i + 1099)/8
What is p in -22*p**2 - 200*p - 192 = 0?
-8, -12/11
Factor c**3 - 59*c**2 + 899*c - 841.
(c - 29)**2*(c - 1)
What is c in -c**2 - 2682*c - 1798281 = 0?
-1341
Solve 16*a**2/13 - 178*a/13 - 30 = 0.
-15/8, 13
Factor -11*d**5/3 + 2*d**4/3.
-d**4*(11*d - 2)/3
Solve -3*b**5 + 30*b**4 - 90*b**3 + 120*b**2 - 75*b + 18 = 0 for b.
1, 6
Determine y so that -y**3/4 - 47*y**2/4 + 25*y/2 + 24 = 0.
-48, -1, 2
Factor 3*h**3 + 57*h**2 + 192*h - 252.
3*(h - 1)*(h + 6)*(h + 14)
Suppose 5*r**5 + 232*r**4 + 3936*r**3 + 27648*r**2 + 48384*r - 165888 = 0. What is r?
-12, 8/5
Determine b, given that 3*b**4 + 183*b**3 + 4131*b**2 + 40749*b + 147390 = 0.
-17, -10
Find y such that 4*y**3 + 20*y**2 + 12*y - 36 = 0.
-3, 1
Solve h**3/4 + 189*h**2/4 + 375*h/4 + 187/4 = 0.
-187, -1
Solve 3*t**4/2 + 21*t**3 + 147*t**2/2 = 0 for t.
-7, 0
Determine g so that 5*g**5 - 70*g**4 + 345*g**3 - 700*g**2 + 500*g = 0.
0, 2, 5
Let u**5/5 - 3*u**4 + 12*u**3/5 + 28*u**2/5 = 0. What is u?
-1, 0, 2, 14
Determine y so that -2*y**5/5 + 42*y**4/5 - 106*y**3/5 - 42*y**2/5 + 108*y/5 = 0.
-1, 0, 1, 3, 18
Determine u, given that -u**3/2 - 3*u**2 - 4*u = 0.
-4, -2, 0
Factor 5*k**3 + 250*k**2 + 485*k + 240.
5*(k + 1)**2*(k + 48)
Factor -5*p**2 + 2055*p.
-5*p*(p - 411)
Find o, given that 2*o**4/17 - 32*o**3/17 + 174*o**2/17 - 360*o/17 + 216/17 = 0.
1, 3, 6
Factor -2*g**5 + 18*g**4 - 48*g**3 + 32*g**2.
-2*g**2*(g - 4)**2*(g - 1)
Factor 5*a**3/4 - 75*a**2/4 + 35*a/2.
5*a*(a - 14)*(a - 1)/4
Factor -q**2/3 + 110*q/3 + 37.
-(q - 111)*(q + 1)/3
Factor 3*d**4 + 84*d**3 + 786*d**2 + 2772*d + 3267.
3*(d + 3)**2*(d + 11)**2
Let -4*b**3 - 160*b**2 + 4*b + 160 = 0. Calculate b.
-40, -1, 1
Suppose -5*o**3 + 6795*o**2 - 2311995*o + 2305205 = 0. What is o?
1, 679
Factor 2*j**2/3 - 40*j/3 + 34.
2*(j - 17)*(j - 3)/3
Let s**5 - 14*s**4 + 32*s**3 + 14*s**2 - 33*s = 0. Calculate s.
-1, 0, 1, 3, 11
Suppose -4*r**3 + 44*r**2 - 96*r = 0. Calculate r.
0, 3, 8
Solve -f**3/7 + 107*f**2/7 + f/7 - 107/7 = 0 for f.
-1, 1, 107
Factor 5*c**4 - 5*c**3 - 30*c**2.
5*c**2*(c - 3)*(c + 2)
Factor -2*p**2 - 3704*p - 1714952.
-2*(p + 926)**2
Factor -i**3 + 518*i**2 - 2060*i + 2056.
-(i - 514)*(i - 2)**2
Factor -2601*h**3/5 - 2091*h**2/5 + 97*h - 5.
-(h + 1)*(51*h - 5)**2/5
Factor 4*g**4 - 124*g**3 - 672*g**2 + 4048*g - 4480.
4*(g - 35)*(g - 2)**2*(g + 8)
Factor b**4/8 - 3*b**3 + 83*b**2/8 - 15*b/2.
b*(b - 20)*(b - 3)*(b - 1)/8
Factor 3*w**4 + 483*w**3 + 25758*w**2 + 446148*w - 472392.
3*(w - 1)*(w + 54)**3
Find u, given that -6*u**4 - 2*u**3 + 14*u**2 + 2*u - 8 = 0.
-4/3, -1, 1
Factor 21*o**2/2 + 15*o/2 - 3.
3*(o + 1)*(7*o - 2)/2
Suppose -2*m**3/11 + 360*m**2/11 - 21600*m/11 + 432000/11 = 0. Calculate m.
60
Factor -2*r**3/13 - 18828*r**2/13 - 59082264*r/13 - 61800048144/13.
-2*(r + 3138)**3/13
Factor -o**4 - 4*o**3 + 3*o**2 + 10*o - 8.
-(o - 1)**2*(o + 2)*(o + 4)
Factor 12*m**4 - 76*m**3 + 168*m**2 - 144*m + 32.
4*(m - 2)**3*(3*m - 1)
Suppose -5*d**4 + 45*d**3 - 85*d**2 - 45*d + 90 = 0. Calculate d.
-1, 1, 3, 6
Factor 3*v**2/7 - 159*v/7 + 234.
3*(v - 39)*(v - 14)/7
Factor -4*m**2/5 - 5272*m/5.
-4*m*(m + 1318)/5
What is t in -t**2 - 1367*t + 1368 = 0?
-1368, 1
Factor o**2 + 14*o - 72.
(o - 4)*(o + 18)
Solve 30*q**5/13 + 178*q**4/13 + 348*q**3/13 + 216*q**2/13 - 16*q/13 = 0 for q.
-2, 0, 1/15
Let -6*r**4/7 + 129*r**3/7 - 657*r**2/7 + 1107*r/7 - 405/7 = 0. Calculate r.
1/2, 3, 15
Find i, given that 4*i**2 + 832*i - 836 = 0.
-209, 1
Factor 4*x**5 + 24*x**4 - 4*x**3 - 24*x**2.
4*x**2*(x - 1)*(x + 1)*(x + 6)
Determine x, given that -2*x**3/5 - 86*x**2/5 + 370*x + 84878/5 = 0.
-37, 31
Factor -2*i**3 - 10*i**2 - 6*i + 18.
-2*(i - 1)*(i + 3)**2
Solve -2*s**5 + 4*s**3 - 2*s = 0 for s.
-1, 0, 1
Suppose -3*m**2/4 - m/2 + 1/4 = 0. What is m?
-1, 1/3
Factor -a**5/4 + 5*a**4/4 + 3*a**3/2.
-a**3*(a - 6)*(a + 1)/4
Suppose 4*m**2 + 8232*m + 8228 = 0. What is m?
-2057, -1
Find b such that b**3/9 - 532*b**2/3 - b/9 + 532/3 = 0.
-1, 1, 1596
Factor p**4 + 84*p**3 + 547*p**2 + 600*p - 1232.
(p - 1)*(p + 4)**2*(p + 77)
Let 2*y**2/11 - 2*y = 0. Calculate y.
0, 11
Factor -d**3 + 13*d**2 + 158*d - 360.
-