 - t**4/3 + 4*t**3 = 0. What is t?
-4, 0, 3
Factor -p**2/5 + 13*p/5 + 68/5.
-(p - 17)*(p + 4)/5
Solve -5*g**4 - 35*g**3 + 15*g**2 + 115*g + 70 = 0 for g.
-7, -1, 2
Solve 5*n**5 - 30*n**4 + 45*n**3 = 0.
0, 3
Solve -2*x**2/3 - 796*x/9 = 0.
-398/3, 0
Factor 3*y**2/7 + 774*y/7 + 49923/7.
3*(y + 129)**2/7
Factor 2*t**3 + 88*t**2 + 246*t.
2*t*(t + 3)*(t + 41)
Factor -2*d**4/5 + 4*d**3/5 + 8*d**2/5 - 16*d/5.
-2*d*(d - 2)**2*(d + 2)/5
Suppose -3*u**4 + 201*u**3 + 840*u**2 + 852*u = 0. Calculate u.
-2, 0, 71
Determine m, given that -3*m**2 + 443*m - 294 = 0.
2/3, 147
Factor k**2 + 4013*k.
k*(k + 4013)
Let -2*m**3/5 + 112*m**2/5 + 232*m/5 = 0. Calculate m.
-2, 0, 58
Solve -r**3/2 - 88*r**2 = 0 for r.
-176, 0
Factor -3*d**3 + 39*d**2 - 66*d.
-3*d*(d - 11)*(d - 2)
Suppose q**5/4 - 5*q**4 - 43*q**3/4 - 11*q**2/2 = 0. What is q?
-1, 0, 22
Solve 4*s**5 + 96*s**4 + 160*s**3 - 1800*s**2 + 2716*s - 1176 = 0.
-21, -7, 1, 2
Determine m, given that 4*m**2 - 28*m + 24 = 0.
1, 6
Factor -3*g**4 + 3*g**3 + 12*g**2 - 12*g.
-3*g*(g - 2)*(g - 1)*(g + 2)
Factor -3*o**2/2 - 2943*o/2 + 1473.
-3*(o - 1)*(o + 982)/2
Solve -4*f**2 - 324*f - 1800 = 0.
-75, -6
Determine t, given that -t**3/6 + t**2/3 + t/6 - 1/3 = 0.
-1, 1, 2
Factor -3388*f**3 - 3212*f**2 + 1216*f/7 - 16/7.
-4*(f + 1)*(77*f - 2)**2/7
Let -5*h**4 - 130*h**3 - 755*h**2 - 630*h = 0. What is h?
-18, -7, -1, 0
Solve -j**2 - 50*j - 49 = 0.
-49, -1
Determine s, given that -2*s**2/9 + 26*s/9 - 8 = 0.
4, 9
Factor -y**3/3 + 2*y**2/3 + 7*y/3 + 4/3.
-(y - 4)*(y + 1)**2/3
Factor 2*h**2/9 - 170*h/9 + 332/9.
2*(h - 83)*(h - 2)/9
Factor -2*z**2/3 + 22*z/3 + 8.
-2*(z - 12)*(z + 1)/3
Determine q, given that q**2/4 + 11*q/4 + 5/2 = 0.
-10, -1
Factor -2*a**3/5 + 6*a**2/5 + 2*a/5 - 6/5.
-2*(a - 3)*(a - 1)*(a + 1)/5
Let 5*f**3/4 + 11*f**2/2 - 38*f - 16 = 0. What is f?
-8, -2/5, 4
What is s in 6*s**5 - 110*s**4 - 82*s**3 + 110*s**2 + 76*s = 0?
-1, -2/3, 0, 1, 19
Find f, given that -f**3/2 + 47*f**2/2 - 264*f - 288 = 0.
-1, 24
Let b**2 + 8*b - 33 = 0. Calculate b.
-11, 3
Factor -28*u**3 - 3688*u**2 - 120912*u + 34848.
-4*(u + 66)**2*(7*u - 2)
Factor -2*z**4 + 2*z**3 + 12*z**2.
-2*z**2*(z - 3)*(z + 2)
Factor 2*n**5/9 + 2*n**4/9 - 2*n**3/9 - 2*n**2/9.
2*n**2*(n - 1)*(n + 1)**2/9
Factor 2*y**3 + 1095*y**2 - 549*y - 548.
(y - 1)*(y + 548)*(2*y + 1)
Factor 2*q**2 - 190*q.
2*q*(q - 95)
Factor 2*r**3/11 + 56*r**2/11 + 54*r/11.
2*r*(r + 1)*(r + 27)/11
Determine n so that n**2 - 8*n - 153 = 0.
-9, 17
Factor 15*a**3 + 140*a**2 + 215*a - 210.
5*(a + 3)*(a + 7)*(3*a - 2)
Factor 4*c**3/7 + 137*c**2/7 - 15*c.
c*(c + 35)*(4*c - 3)/7
Factor -5*a**4 + 35*a**3 + 65*a**2 - 215*a + 120.
-5*(a - 8)*(a - 1)**2*(a + 3)
Solve 3*c**5/4 - 9*c**4/2 - 15*c**3/4 + 45*c**2/2 + 3*c - 18 = 0 for c.
-2, -1, 1, 2, 6
Suppose 2*z**2/7 - 1424*z/7 + 253472/7 = 0. Calculate z.
356
Find v such that -v**2 - 49*v + 50 = 0.
-50, 1
Find g such that -4*g**3/9 + 148*g**2/3 = 0.
0, 111
Factor -3*m**4 - 276*m**3 - 9522*m**2 - 146004*m - 839523.
-3*(m + 23)**4
Factor 2*o**2 + 206*o - 208.
2*(o - 1)*(o + 104)
Let -28*k**4 - 1940*k**3 - 34824*k**2 - 42160*k - 9248 = 0. Calculate k.
-34, -1, -2/7
Let j**5/4 + 4*j**4 + 22*j**3 + 85*j**2/2 - 25*j/4 - 125/2 = 0. Calculate j.
-5, -2, 1
Determine u so that u**3/11 + 29*u**2/11 - 342*u/11 = 0.
-38, 0, 9
Find x such that -x**4/5 + 11*x**3/10 - 11*x**2/10 - 3*x/2 + 9/10 = 0.
-1, 1/2, 3
Factor -b**2 - 1895*b + 1896.
-(b - 1)*(b + 1896)
Factor t**4 - 8*t**3 - 27*t**2 + 182*t + 392.
(t - 7)**2*(t + 2)*(t + 4)
Find i, given that -2*i**2 - 594*i = 0.
-297, 0
Factor -2*b**4 - 112*b**3 - 1326*b**2 + 6840*b - 5400.
-2*(b - 3)*(b - 1)*(b + 30)**2
Factor 3*t**4 + 6*t**3 + 3*t**2.
3*t**2*(t + 1)**2
Let -16*v**3 - 13908*v**2 - 31220*v - 6936 = 0. Calculate v.
-867, -2, -1/4
Factor 4*n**2 + 48*n + 128.
4*(n + 4)*(n + 8)
Determine c so that -4*c**2 + 2304*c - 2300 = 0.
1, 575
Factor 45*o**2 + 10745*o - 2390.
5*(o + 239)*(9*o - 2)
Factor 2*v**2/9 - 7630*v/9 - 848.
2*(v - 3816)*(v + 1)/9
Factor -u**3/6 - 97*u**2/6 - 191*u/6 - 95/6.
-(u + 1)**2*(u + 95)/6
Factor 5*n**2/2 + 99*n/2 - 10.
(n + 20)*(5*n - 1)/2
Solve r**4/4 + 1695*r**3/2 + 2862837*r**2/4 - 4317165*r + 6487209 = 0 for r.
-1698, 3
Suppose -4*s**2 + 48*s + 112 = 0. What is s?
-2, 14
Suppose 16*w**4/5 - 60*w**3 + 1944*w**2/5 - 4752*w/5 + 2592/5 = 0. What is w?
3/4, 6
What is x in -5*x**2/3 - 820*x/3 + 1700 = 0?
-170, 6
Solve -2*x**4/9 + 16*x**3/9 + 34*x**2/9 - 136*x/3 + 40 = 0.
-5, 1, 6
Factor 5*d**4 - 85*d**2 + 180*d - 100.
5*(d - 2)**2*(d - 1)*(d + 5)
Factor -a**4/4 - 5*a**3/4 - 3*a**2/4 + 5*a/4 + 1.
-(a - 1)*(a + 1)**2*(a + 4)/4
Suppose -16*p**5 - 1276*p**4 + 5648*p**3 - 5364*p**2 + 1008*p = 0. Calculate p.
-84, 0, 1/4, 1, 3
What is a in 2*a**2/23 + 64*a/23 + 512/23 = 0?
-16
Let -2*a**4/9 - 47*a**3/9 - 106*a**2/9 - 19*a/9 + 14/3 = 0. What is a?
-21, -2, -1, 1/2
What is m in -10*m**4 - 66*m**3 - 88*m**2 + 120*m + 224 = 0?
-4, -2, 7/5
Find u such that -3*u**3 + 696*u**2 - 39663*u - 82134 = 0.
-2, 117
Solve -9*x**2 + 858*x + 576 = 0 for x.
-2/3, 96
Find o, given that -o**3 - o**2 + 8*o + 12 = 0.
-2, 3
Factor -7*m**3/11 + 54*m**2/11 - 3*m - 14/11.
-(m - 7)*(m - 1)*(7*m + 2)/11
Let h**2/2 - 5*h/2 + 3 = 0. Calculate h.
2, 3
Suppose -2*y**5/7 - 20*y**4/7 - 6*y**3 + 8*y**2/7 + 8*y = 0. Calculate y.
-7, -2, 0, 1
Factor d**3/2 - 11*d**2 + 48*d + 144.
(d - 12)**2*(d + 2)/2
Factor -3*h**2 - 264*h - 5808.
-3*(h + 44)**2
Factor -4*l**4 - 1724*l**3.
-4*l**3*(l + 431)
Factor -j**5/4 - 7*j**4/4 + 10*j**3 - 11*j**2.
-j**2*(j - 2)**2*(j + 11)/4
Factor 4*i**3 + 154*i**2 + 1520*i + 722.
2*(i + 19)**2*(2*i + 1)
Factor -5*d**5 + 1385*d**4 + 4185*d**3 + 4195*d**2 + 1400*d.
-5*d*(d - 280)*(d + 1)**3
Let r**4 - 21*r**3 + 142*r**2 - 384*r + 352 = 0. Calculate r.
2, 4, 11
Factor -c**2/6 + 262*c/3 - 523/6.
-(c - 523)*(c - 1)/6
Factor 3*c**3 - 15*c**2 + 18*c.
3*c*(c - 3)*(c - 2)
Factor 9*a**3 - 21*a**2 + 12.
3*(a - 2)*(a - 1)*(3*a + 2)
Let -2*m**3 - 232*m**2 - 8954*m - 114996 = 0. Calculate m.
-42, -37
What is r in 2*r**3 + 80*r**2 - 584*r - 1472 = 0?
-46, -2, 8
Let 2*n**2/5 + 8*n/5 + 6/5 = 0. Calculate n.
-3, -1
Let -5*n**2 - 35*n + 300 = 0. What is n?
-12, 5
Find b such that -2*b**3/3 - 80*b**2/3 + 56*b = 0.
-42, 0, 2
Find m, given that 2*m**5/3 - 70*m**4/3 + 204*m**3 - 2144*m**2/3 + 3136*m/3 - 512 = 0.
1, 2, 4, 24
Factor -4*a**4 + 36*a**3.
-4*a**3*(a - 9)
Determine v, given that 3*v**2 - 21*v + 18 = 0.
1, 6
Factor w**4/4 - 29*w**3/2 + 841*w**2/4.
w**2*(w - 29)**2/4
Factor 3*h**3 - 3039*h**2.
3*h**2*(h - 1013)
Factor -3*c**2 + 689*c - 686.
-(c - 1)*(3*c - 686)
Suppose g**5 + 17*g**4 + 67*g**3 - 13*g**2 - 248*g + 176 = 0. What is g?
-11, -4, 1
Factor -2*g**3/13 + 22*g**2/13 - 60*g/13.
-2*g*(g - 6)*(g - 5)/13
Solve -5*a**2 - 715*a + 7650 = 0 for a.
-153, 10
Determine w, given that -5*w**4 - 45*w**3 + 55*w**2 + 45*w - 50 = 0.
-10, -1, 1
Factor -4*p**2 + 640*p - 25600.
-4*(p - 80)**2
Factor -2*d**3/3 - 64*d**2/3 - 110*d - 156.
-2*(d + 3)**2*(d + 26)/3
Let -2*y**5/9 + 4*y**4/9 + 16*y**3/9 - 4*y**2 + 2*y = 0. Calculate y.
-3, 0, 1, 3
What is d in 2*d**5 - 28*d**4 + 70*d**3 - 44*d**2 = 0?
0, 1, 2, 11
Determine t so that t**4/2 + 14*t**3 + 11*t**2 - 66*t + 81/2 = 0.
-27, -3, 1
Factor 4*i**3 + 24*i**2 + 20*i.
4*i*(i + 1)*(i + 5)
Factor -3*p**2/2 + 207*p/8 - 51/8.
-3*(p - 17)*(4*p - 1)/8
Factor -2*i**4 + 6672*i**3 - 5571116*i**2 + 11122224*i - 5557778.
-2*(i - 1667)**2*(i - 1)**2
Solve -4*u**5/3 + 5*u**4/3 + 11*u**3/3 - 23*u**2/3 + 13*u/3 - 2/3 = 0.
-2, 1/4, 1
Factor -u**4/4 + 47*u**3/2 - 108*u**2 - 575*u/2 - 623/4.
-(u - 89)*(u - 7)*(u + 1)**2/4
Determine c, given that -c**4/2 + 21*c**3/2 - 74*c**2 + 192*c - 128 = 0.
1, 4, 8
Factor 2*z**2/9 - 13664*z/9 + 23338112/9.
2*(z - 3416)**2/9
Factor 3*q**2/2 + 11*q/3.
q*(9*q + 22)/6
Let -4*n**2 + 212*n + 440 = 0. Calculate n.
-2, 55
Factor -2*c**2/9 - 202*c/9 - 496/3.
-2*(c + 8)*(c + 93)/9
Suppose 75*z**5 - 85*z**4 - 215*z**3 + 405*z**2 - 200*z + 20 = 0. What is z?
-2, 2/15, 1
What is a in -2*a**5 - 32*a**4 - 32*a**3 + 1280*a**2 + 2048*a - 16384 = 0?
-8, 4
Find j, given that -j**3 - 34*j**2 + 37*j + 70 = 0.
-35, -1, 2
Determine a, given that -121*a**3 - 99*a**2 + 21*a - 1 = 0.
-1, 1/11
Factor 2*u**3 - 498*u**2 + 41334*u - 1143574.
2*(u - 83)**3
Suppose -2*t**2/21 + 2*t/7 = 0. What is t?
0, 