*(m - 2)*(m + 170)/3
Solve -5*r**3 + 54060*r**2 - 194832240*r + 234058464320 = 0 for r.
3604
Determine p so that -2*p**2/7 + 24*p + 170/7 = 0.
-1, 85
Factor 4*y**4 + 248*y**3 + 2876*y**2 - 3128*y.
4*y*(y - 1)*(y + 17)*(y + 46)
Factor 2*q**4 - 4*q**3 - 16*q**2.
2*q**2*(q - 4)*(q + 2)
Factor -o**4/10 - 3*o**3/5 + 7*o**2/10.
-o**2*(o - 1)*(o + 7)/10
Let 2*i**2 + 6246*i = 0. What is i?
-3123, 0
Let v**3/2 - 7*v**2/2 - 85*v/2 + 91/2 = 0. Calculate v.
-7, 1, 13
Factor -5*z**2/2 - 125*z/2 + 135.
-5*(z - 2)*(z + 27)/2
Factor -h**3 + 11*h**2 - 18*h.
-h*(h - 9)*(h - 2)
Factor 4*d**2 + 2600*d + 422500.
4*(d + 325)**2
Factor 3*p**3 + 57*p**2 + 165*p - 1089.
3*(p - 3)*(p + 11)**2
Factor -5*g**2 - 60*g + 320.
-5*(g - 4)*(g + 16)
Factor -2*q**3/5 + 38*q**2/5 - 148*q/5 + 112/5.
-2*(q - 14)*(q - 4)*(q - 1)/5
Let -d**4/2 - 68*d**3 - 5005*d**2/2 - 12675*d = 0. Calculate d.
-65, -6, 0
Factor 7*h**4/6 - 3695*h**3/3 + 433312*h**2 - 152278016*h/3 - 43614208/3.
(h - 352)**3*(7*h + 2)/6
Factor -5*o**4 + 85*o**3 - 450*o**2 + 540*o + 1080.
-5*(o - 6)**3*(o + 1)
Factor 3*d**4 + 9*d**3 - 27*d**2 - 69*d - 36.
3*(d - 3)*(d + 1)**2*(d + 4)
Factor -3*w**3/7 + 15*w**2/7 + 39*w/7 + 3.
-3*(w - 7)*(w + 1)**2/7
Factor -2*u**3/13 - 248*u**2/13 - 246*u/13.
-2*u*(u + 1)*(u + 123)/13
Factor -4*q**4 - 152*q**3 + 652*q**2 - 832*q + 336.
-4*(q - 2)*(q - 1)**2*(q + 42)
Solve -b**4/4 - 3*b**3/2 + 15*b**2/4 - 2*b = 0.
-8, 0, 1
Factor -b**2/3 + 17*b/3.
-b*(b - 17)/3
Let -k**4/2 + 9*k**3/2 - 17*k**2/2 - 9*k/2 + 9 = 0. Calculate k.
-1, 1, 3, 6
Factor 2*a**3 - 18*a**2 + 30*a - 14.
2*(a - 7)*(a - 1)**2
Solve y**3 + 81*y**2 + 987*y - 28717 = 0 for y.
-47, 13
Factor -b**3/5 + 4*b**2 - 96*b/5.
-b*(b - 12)*(b - 8)/5
Determine l, given that 2*l**3 + 88*l**2 + 936*l = 0.
-26, -18, 0
Find i such that -5*i**4 - 235*i**3 + 245*i**2 + 235*i - 240 = 0.
-48, -1, 1
Let -3*m**5 + 21*m**4 + 153*m**3 + 303*m**2 + 246*m + 72 = 0. Calculate m.
-2, -1, 12
Suppose -3*i**2 + 20886*i - 36352083 = 0. What is i?
3481
Factor -3*p**3/2 + 27*p**2/2 - 45*p/2 - 75/2.
-3*(p - 5)**2*(p + 1)/2
What is m in -2*m**3/7 + 72*m**2/7 - 138*m/7 + 68/7 = 0?
1, 34
Factor 2*v**2 + 26*v + 24.
2*(v + 1)*(v + 12)
Solve -2*p**4/15 - 14*p**3/3 + 104*p**2/5 = 0 for p.
-39, 0, 4
Determine i, given that 4*i**2 - 8*i - 32 = 0.
-2, 4
Let -25*n**4 + 160*n**3 - 286*n**2 + 96*n - 9 = 0. Calculate n.
1/5, 3
Find a, given that a**4/4 + 127*a**3/4 - 129*a**2/2 = 0.
-129, 0, 2
Factor -p**4/7 + 158*p**3/7 - 844*p**2 - 27054*p/7 + 32805/7.
-(p - 81)**2*(p - 1)*(p + 5)/7
Suppose 3*f**4 - 3*f**3 - 27*f**2 - 33*f - 12 = 0. What is f?
-1, 4
Suppose f**2/3 - 9670*f/3 + 23377225/3 = 0. What is f?
4835
Factor 26*l**3/5 + 2*l**2/5 - 24*l/5.
2*l*(l + 1)*(13*l - 12)/5
Factor -125*m**3 - 10900*m**2 + 8780*m - 1760.
-5*(m + 88)*(5*m - 2)**2
Let 768*t**2/7 + 9696*t/7 + 30603/7 = 0. Calculate t.
-101/16
Factor 2*i**4/3 - 26*i**3/3 + 40*i**2 - 224*i/3 + 128/3.
2*(i - 4)**3*(i - 1)/3
Find k, given that k**4/3 - 37*k**3/3 + 101*k**2/3 + 37*k/3 - 34 = 0.
-1, 1, 3, 34
Factor -18*l**3/7 - 130*l**2/7 - 136*l/7 - 24/7.
-2*(l + 1)*(l + 6)*(9*l + 2)/7
Factor -14*p**3 - 130*p**2 - 316*p - 80.
-2*(p + 4)*(p + 5)*(7*p + 2)
Factor 4*r**3/5 - 152*r**2/5 + 1044*r/5.
4*r*(r - 29)*(r - 9)/5
Factor -3*p**5 + 36*p**4 - 132*p**3 + 210*p**2 - 153*p + 42.
-3*(p - 7)*(p - 2)*(p - 1)**3
Suppose -3*t**2/4 - 5511*t/4 - 1377 = 0. What is t?
-1836, -1
Determine b so that -2*b**5/5 + 12*b**4/5 - 28*b**3/5 + 32*b**2/5 - 18*b/5 + 4/5 = 0.
1, 2
What is x in 3*x**3/5 + 1146*x**2/5 + 22116*x + 43320 = 0?
-190, -2
Suppose 7*a**4/3 + 16*a**3/3 + 11*a**2/3 + 2*a/3 = 0. Calculate a.
-1, -2/7, 0
Let c**4/8 - 3*c**3 + 18*c**2 = 0. What is c?
0, 12
Factor -n**2/9 - 92*n/9 + 188/9.
-(n - 2)*(n + 94)/9
Let -2*a**4/3 + 2*a**3 + 4*a**2 - 16*a/3 = 0. What is a?
-2, 0, 1, 4
Factor -2*t**3/7 + 122*t**2/7 + 1170*t/7 - 117450/7.
-2*(t - 45)**2*(t + 29)/7
Solve 114*p**2/13 - 218*p/13 - 20/13 = 0 for p.
-5/57, 2
Find h such that -3*h**2/5 - 2934*h/5 - 717363/5 = 0.
-489
Factor b**5/8 + 15*b**4/4 + 297*b**3/8 + 135*b**2 + 162*b.
b*(b + 3)**2*(b + 12)**2/8
Factor -q**4 + q**3 + 4*q**2 - 4*q.
-q*(q - 2)*(q - 1)*(q + 2)
Determine s, given that 2*s**5/3 - 2*s**4/3 - 20*s**3/3 + 20*s**2/3 + 6*s - 6 = 0.
-3, -1, 1, 3
Factor 8*o**3/3 - 248*o**2/3 - 1390*o/3 - 600.
2*(o - 36)*(2*o + 5)**2/3
Solve 4*z**4 - 44*z**3 + 172*z**2 - 276*z + 144 = 0.
1, 3, 4
Solve -2*o**3/5 - 16*o**2 - 154*o/5 - 76/5 = 0.
-38, -1
Factor -38*r**4 + 42*r**3 - 4*r**2.
-2*r**2*(r - 1)*(19*r - 2)
Factor 8*t**3 + 85*t**2 - 109*t - 186.
(t - 2)*(t + 1)*(8*t + 93)
Factor 3*b**2 + 156*b + 153.
3*(b + 1)*(b + 51)
Determine j, given that -j**3 + 8*j**2 + 33*j = 0.
-3, 0, 11
Solve -g**3/9 - 340*g**2/9 - 1348*g/9 - 448/3 = 0.
-336, -2
Factor -o**2/5 - 96*o - 11520.
-(o + 240)**2/5
Find f such that -2*f**4/7 + 118*f**3/7 - 230*f**2/7 + 114*f/7 = 0.
0, 1, 57
Find l, given that -2*l**4/9 + 4*l**3/9 + 2*l**2/3 - 8*l/9 - 8/9 = 0.
-1, 2
Factor -4*a**3/5 + 8*a**2/5 + 12*a/5.
-4*a*(a - 3)*(a + 1)/5
Factor m**2 - 155*m - 966.
(m - 161)*(m + 6)
Suppose -2*k**3 + 64*k**2/3 - 94*k/3 + 12 = 0. Calculate k.
2/3, 1, 9
Factor -6*f**3/19 - 244*f**2/19 + 82*f/19.
-2*f*(f + 41)*(3*f - 1)/19
Factor 2*g**2 + 30*g - 108.
2*(g - 3)*(g + 18)
Suppose -2*s**3/7 - 374*s**2/7 - 106*s - 370/7 = 0. What is s?
-185, -1
Solve i**5/2 - 7*i**4/2 - 69*i**3/2 - 113*i**2/2 - 26*i = 0.
-4, -1, 0, 13
Find x, given that -1444*x**4 - 3648*x**3 + 1952*x**2 + 5376*x - 3136 = 0.
-2, 14/19
Factor 3*k**3/4 + 3*k**2/4 - 3*k/4 - 3/4.
3*(k - 1)*(k + 1)**2/4
Suppose -2*f**2/11 + 236*f/11 - 234/11 = 0. Calculate f.
1, 117
Factor u**3/3 - 7*u**2/3 + 2*u.
u*(u - 6)*(u - 1)/3
Factor -2*f**3 + 44*f**2 + 8*f - 176.
-2*(f - 22)*(f - 2)*(f + 2)
Determine q, given that 12*q**4 - 56*q**3 - 304*q**2 - 160*q + 256 = 0.
-2, 2/3, 8
Let 10*d**4 + 95*d**3 - 220*d**2 - 575*d + 330 = 0. Calculate d.
-11, -2, 1/2, 3
Factor 49*c**2 + 140*c + 100.
(7*c + 10)**2
Factor 20*d**3 + 3648*d**2 + 1456*d.
4*d*(d + 182)*(5*d + 2)
Suppose 7*g**5/11 + 20*g**4/11 + 12*g**3/11 - 14*g**2/11 - 19*g/11 - 6/11 = 0. What is g?
-1, -6/7, 1
Factor 5*o**2 + 105*o - 110.
5*(o - 1)*(o + 22)
Find d, given that 25*d**4 + 380*d**3 + 650*d**2 - 860*d - 195 = 0.
-13, -3, -1/5, 1
Factor 2*p**5/9 - 40*p**4/9 + 28*p**3 - 392*p**2/9 - 686*p/9.
2*p*(p - 7)**3*(p + 1)/9
Factor 6*y**2 - 3098*y - 2068.
2*(y - 517)*(3*y + 2)
Determine i, given that i**3/2 + 475*i**2/2 - 953*i/2 + 477/2 = 0.
-477, 1
Determine d, given that 4*d**3/3 + 4*d**2/3 - 64*d/3 + 80/3 = 0.
-5, 2
Factor -a**2 + 13*a/2 - 3.
-(a - 6)*(2*a - 1)/2
Suppose 3*w**2 - 14256*w + 16936128 = 0. What is w?
2376
Factor 4*t**2 + 400*t + 10000.
4*(t + 50)**2
Find y, given that y**4/9 - 20*y**3/9 + 2*y**2 + 20*y/9 - 19/9 = 0.
-1, 1, 19
Solve -3*t**2/2 + 39*t/2 = 0 for t.
0, 13
Suppose 45*y**4/4 + 75*y**3/2 + 35*y**2 + 10*y = 0. Calculate y.
-2, -2/3, 0
Factor -2*i**4 + 70*i**3 - 66*i**2 - 70*i + 68.
-2*(i - 34)*(i - 1)**2*(i + 1)
Suppose -c**5 - 15*c**4 + 72*c**3 - 76*c**2 = 0. Calculate c.
-19, 0, 2
Factor 3*x**2/8 - 153*x/4 + 7803/8.
3*(x - 51)**2/8
Determine i, given that 2*i**2 - 24*i + 54 = 0.
3, 9
Solve 10*y**4 - 264*y**3 + 104*y**2 = 0.
0, 2/5, 26
Let 27*i**3/4 + 3*i**2/2 = 0. Calculate i.
-2/9, 0
Factor -3*u**2/4 - 579*u/4 - 855/2.
-3*(u + 3)*(u + 190)/4
Suppose l**5/3 + 86*l**4/3 + 488*l**3/3 + 634*l**2/3 - 163*l - 240 = 0. What is l?
-80, -3, -1, 1
Factor -r**3/3 + 25*r - 250/3.
-(r - 5)**2*(r + 10)/3
What is x in x**5 + 5*x**4 + x**3 - 13*x**2 - 2*x + 8 = 0?
-4, -2, -1, 1
Determine v, given that -4*v**2 - 4*v = 0.
-1, 0
Solve 4*w**4 + 816*w**3 - 12*w**2 - 2440*w + 1632 = 0.
-204, -2, 1
What is l in -4*l**2/9 - 1397*l/9 - 349/9 = 0?
-349, -1/4
Solve y**3/4 + 5*y**2/4 - 9*y/4 - 45/4 = 0 for y.
-5, -3, 3
Suppose -3*x**3/4 + 261*x**2/4 + 270*x + 273 = 0. Calculate x.
-2, 91
Find i such that 2*i**3 + 360*i**2 - 726*i + 364 = 0.
-182, 1
Factor -10*l**3 + 118844*l**2 - 353121176*l + 141229456.
-2*(l - 5942)**2*(5*l - 2)
Factor -y**2 - 57*y + 58.
-(y - 1)*(y + 58)
Factor -4*n**4 - 12*n**3 + 4*n**2 + 12*n.
-4*n*(n - 1)*(n + 1)*(n + 3)
Factor -2*h**5 - 22*h**4 - 36*h**3.
-2*h**3*(h + 2)*(h + 9)
Find u, given that -14*u**2 - 22354*u + 6388 = 0.
-1597, 2/7
Factor 48*a**3 + 106200*a**2 - 53109*a + 6639.
3*(a + 221