0?
70
Determine v, given that 5*v**4 + 230*v**3 + 3900*v**2 + 28730*v + 76895 = 0.
-13, -7
Factor t**2/3 + 26*t/3 - 56/3.
(t - 2)*(t + 28)/3
Solve 20*t**2/7 - 24*t - 188/7 = 0.
-1, 47/5
Solve 3*u**5/7 + 15*u**4/7 - 30*u**3/7 - 60*u**2/7 + 72*u/7 = 0.
-6, -2, 0, 1, 2
Determine z, given that 4*z**5 + 28*z**4 - 252*z**3 - 892*z**2 - 616*z = 0.
-11, -2, -1, 0, 7
Factor w**3/3 + 14*w**2/3 + 41*w/3 - 56/3.
(w - 1)*(w + 7)*(w + 8)/3
Factor 3*z**5 - 9*z**4 - 3*z**3 + 33*z**2 - 36*z + 12.
3*(z - 2)*(z - 1)**3*(z + 2)
Suppose -x**4 + 167*x**3 - 6888*x**2 - 7056*x = 0. What is x?
-1, 0, 84
Solve -18*g**3 - 78*g**2 - 80*g - 24 = 0.
-3, -2/3
Find w, given that -2*w**2/21 + 26*w/3 = 0.
0, 91
Factor 39*l**3 + 408*l**2 + 1155*l + 450.
3*(l + 5)**2*(13*l + 6)
Factor -r**2/3 - 184*r/3 + 185/3.
-(r - 1)*(r + 185)/3
Find p, given that -4*p**4 - 44*p**3 + 4*p**2 + 44*p = 0.
-11, -1, 0, 1
Factor 3*u**5 - 9*u**4 + 6*u**3.
3*u**3*(u - 2)*(u - 1)
What is m in -2*m**5/3 + 32*m**4/3 - 28*m**3 - 152*m**2/3 + 86*m/3 + 40 = 0?
-1, 1, 5, 12
What is v in 5*v**3 + 550*v**2 + 1615*v + 1070 = 0?
-107, -2, -1
Solve 4*z**5 - 24*z**4 + 36*z**3 + 16*z**2 - 48*z = 0.
-1, 0, 2, 3
Determine f, given that -f**4/4 + 35*f**3/2 - 375*f**2 + 2250*f = 0.
0, 10, 30
Determine h, given that 5*h**2/2 + 27*h - 59/2 = 0.
-59/5, 1
Find q, given that 2*q**3/5 - 152*q**2/5 + 296*q/5 = 0.
0, 2, 74
Factor -3*q**2 - 2448*q + 2451.
-3*(q - 1)*(q + 817)
Solve -5*j**5 - 145*j**4 + 990*j**3 - 2060*j**2 + 1400*j = 0.
-35, 0, 2
Factor -k**3/5 + 4*k**2/5 + 19*k/5 + 14/5.
-(k - 7)*(k + 1)*(k + 2)/5
Factor 10*g**3/17 + 1464*g**2/17 + 53874*g/17 + 21316/17.
2*(g + 73)**2*(5*g + 2)/17
Find p such that -8*p**5 + 38*p**4 - 38*p**3 - 12*p**2 = 0.
-1/4, 0, 2, 3
Let 2*t**5/7 + 344*t**4/7 + 16082*t**3/7 + 109124*t**2/7 + 50840*t/7 - 672400/7 = 0. Calculate t.
-82, -5, 2
Factor -3*q**3/5 - 282*q**2/5 + 573*q/5 - 288/5.
-3*(q - 1)**2*(q + 96)/5
Factor -2*m**3/11 + 72*m**2/11 - 138*m/11 + 68/11.
-2*(m - 34)*(m - 1)**2/11
Determine q, given that -q**2/3 - 3200*q/3 = 0.
-3200, 0
Factor -18*m**2/7 + 10*m/7 + 132/7.
-2*(m - 3)*(9*m + 22)/7
Let -16*c**3 - 52*c**2 + 88*c + 160 = 0. What is c?
-4, -5/4, 2
Solve 2*u**5/5 + 28*u**4/5 - 138*u**3/5 + 116*u**2/5 + 136*u/5 - 144/5 = 0 for u.
-18, -1, 1, 2
Solve 9245*z**3 - 27305*z**2 - 1285*z - 15 = 0 for z.
-1/43, 3
Factor g**2 - 93*g + 522.
(g - 87)*(g - 6)
Find n such that -n**2/2 + 3*n/2 = 0.
0, 3
Factor -7*l**2 + 1592*l - 681.
-(l - 227)*(7*l - 3)
Factor -4*k**3 - 84*k**2 + 5488.
-4*(k - 7)*(k + 14)**2
What is h in -9*h**4 - 312*h**3 + 762*h**2 - 552*h + 111 = 0?
-37, 1/3, 1
Solve -w**3/4 + 63*w**2/4 + w/4 - 63/4 = 0 for w.
-1, 1, 63
Factor 4*l**3 - 308*l**2 - 628*l - 316.
4*(l - 79)*(l + 1)**2
Find i such that 4*i**2 - 16408*i + 16826404 = 0.
2051
Factor -5*n**4 - 11*n**3 - 3*n**2 + 7*n + 4.
-(n + 1)**3*(5*n - 4)
Determine t, given that -10*t**3/3 + 16*t**2/3 + 8*t/3 = 0.
-2/5, 0, 2
Let -5*v**2 + 2650*v = 0. Calculate v.
0, 530
Factor 20*t**4/9 - 118*t**3/3 + 228*t**2 - 408*t - 144.
2*(t - 6)**3*(10*t + 3)/9
Determine k, given that -k**2/4 - 13*k/4 - 3 = 0.
-12, -1
Factor -y**3/4 + 891*y**2 - 1058508*y + 419169168.
-(y - 1188)**3/4
Solve -5*k**3/2 + 83*k**2/2 - 23*k - 16 = 0 for k.
-2/5, 1, 16
Factor 2*t**3/15 + 62*t**2/15 + 56*t/15 - 8.
2*(t - 1)*(t + 2)*(t + 30)/15
Determine m, given that 4*m**4/3 + 104*m**3/3 + 772*m**2/3 + 416*m + 192 = 0.
-12, -1
Let 2*s**4 - 488*s**3 + 1450*s**2 - 964*s = 0. Calculate s.
0, 1, 2, 241
Factor 4805*u**3 - 19840*u**2 + 2500*u - 80.
5*(u - 4)*(31*u - 2)**2
Determine g so that 2*g**5/3 + 26*g**4/3 + 46*g**3/3 + 22*g**2/3 = 0.
-11, -1, 0
Find m, given that m**2 + 966*m + 233289 = 0.
-483
Factor -5*i**2 - 1330*i - 88445.
-5*(i + 133)**2
Factor 5*y**2 + 1130*y + 7665.
5*(y + 7)*(y + 219)
Solve 2*r**2/11 - 22*r + 240/11 = 0 for r.
1, 120
Factor 2*n**4 - 16*n**3 - 28*n**2 + 96*n - 54.
2*(n - 9)*(n - 1)**2*(n + 3)
Find p, given that -4*p**4 - 32*p**3 + 16*p**2 + 128*p = 0.
-8, -2, 0, 2
Suppose -4*o**5 + 208*o**4 - 397*o**3 - 159*o**2 + 450*o = 0. Calculate o.
-1, 0, 3/2, 50
Solve n**4/9 + 25*n**3/9 + 56*n**2/3 + 16*n = 0 for n.
-12, -1, 0
Factor -s**4/8 - s**3/4 - s**2/8.
-s**2*(s + 1)**2/8
Factor t**4/6 + 9*t**3 + 53*t**2/6.
t**2*(t + 1)*(t + 53)/6
Suppose 9*n**5 + 57*n**4 + 48*n**3 - 60*n**2 = 0. Calculate n.
-5, -2, 0, 2/3
Solve d**2/3 + 43*d/3 + 82/3 = 0 for d.
-41, -2
Determine m, given that -6*m**5 + 194*m**4 - 198*m**3 - 1498*m**2 - 1596*m - 496 = 0.
-1, -2/3, 4, 31
Suppose -2*w**5/5 + 66*w**4/5 - 186*w**3/5 + 182*w**2/5 - 12*w = 0. Calculate w.
0, 1, 30
Determine w so that -3*w**2/2 - 78*w - 150 = 0.
-50, -2
Factor -21*n**4/8 + 159*n**3/2 - 810*n**2 + 2850*n - 750.
-3*(n - 10)**3*(7*n - 2)/8
Suppose l**2/3 + 5*l/3 - 12 = 0. Calculate l.
-9, 4
Factor 4*m**4 - 28*m**3 - 12*m**2 + 220*m + 200.
4*(m - 5)**2*(m + 1)*(m + 2)
Factor r**3/7 + 64*r**2/7 + 61*r/7 - 18.
(r - 1)*(r + 2)*(r + 63)/7
Suppose p**2/3 - 12*p + 108 = 0. What is p?
18
Find z such that 4*z**4 + 8*z**3/3 - 44*z**2/3 - 8*z/3 + 32/3 = 0.
-2, -1, 1, 4/3
What is n in n**2/12 - 71*n/12 + 35/6 = 0?
1, 70
Let 2*o**2/11 + 662*o/11 + 1316/11 = 0. What is o?
-329, -2
What is f in 2*f**2/11 + 4700*f/11 + 2761250/11 = 0?
-1175
Factor u**4 + 24*u**3 + 200*u**2 + 672*u + 720.
(u + 2)*(u + 6)**2*(u + 10)
Determine v, given that 36*v**3 - 6900*v**2 + 4588*v - 764 = 0.
1/3, 191
What is m in -4*m**5 + 220*m**4 + 1412*m**3 + 3124*m**2 + 2912*m + 976 = 0?
-2, -1, 61
Determine q, given that 9*q**2 + 66*q + 57 = 0.
-19/3, -1
Factor -3*m**4 - 36*m**3 - 69*m**2 + 108*m.
-3*m*(m - 1)*(m + 4)*(m + 9)
Solve -m**4/2 - 16*m**3/3 + 7*m**2/3 + 16*m/3 - 11/6 = 0.
-11, -1, 1/3, 1
Find w, given that 10*w**2/23 - 246*w/23 - 100/23 = 0.
-2/5, 25
Factor 448*v**2 + 447*v - 1.
(v + 1)*(448*v - 1)
Factor -2*x**5/3 + 10*x**4/3 - 16*x**3/3 + 8*x**2/3.
-2*x**2*(x - 2)**2*(x - 1)/3
Factor 2*u**3/7 - 74*u**2/7 + 488*u/7 - 696/7.
2*(u - 29)*(u - 6)*(u - 2)/7
What is u in u**2/2 + 19*u/2 + 9 = 0?
-18, -1
What is y in 5*y**2 + 850*y + 845 = 0?
-169, -1
Solve -441*b**2 + 168*b - 16 = 0 for b.
4/21
Suppose 2*i**5/17 - 14*i**4/17 + 32*i**3/17 - 16*i**2/17 - 32*i/17 + 32/17 = 0. What is i?
-1, 2
Determine c, given that 50*c**5 - 55*c**4 - 330*c**3 + 55*c**2 + 220*c + 60 = 0.
-2, -1/2, -2/5, 1, 3
Factor 2*q**3/5 - 164*q**2/5 + 298*q - 720.
2*(q - 72)*(q - 5)**2/5
Factor 2*b**3 + 86*b**2.
2*b**2*(b + 43)
Factor -o**3 - 16*o**2 + 36*o.
-o*(o - 2)*(o + 18)
Find l, given that -4*l**5/5 + 24*l**4/5 + 12*l**3 + 32*l**2/5 = 0.
-1, 0, 8
Factor 2*p**3/15 + 202*p**2/5 - 608*p/15.
2*p*(p - 1)*(p + 304)/15
Suppose -4*q**4 + 92*q**3 + 532*q**2 + 772*q + 336 = 0. Calculate q.
-3, -1, 28
Suppose -c**2/3 + 130*c/3 = 0. What is c?
0, 130
Factor 3*b**2/5 + 228*b/5 + 1449/5.
3*(b + 7)*(b + 69)/5
Solve -2*h**5/9 - 80*h**4/9 + 100*h**3/9 + 760*h**2/9 + 910*h/9 + 328/9 = 0 for h.
-41, -1, 4
Find s, given that -4*s**5 + 640*s**4 + 8*s**3 - 1280*s**2 - 4*s + 640 = 0.
-1, 1, 160
Find l, given that -22*l**4/3 + 116*l**3 - 74*l**2 - 712*l/3 - 40 = 0.
-1, -2/11, 2, 15
Factor -w**5/7 + 18*w**4/7 - 80*w**3/7 - 26*w**2 + 231*w - 196.
-(w - 7)**3*(w - 1)*(w + 4)/7
Suppose 2*q**5/3 - 6*q**4 + 10*q**3 + 50*q**2/3 = 0. Calculate q.
-1, 0, 5
Determine g, given that -405*g**3 + 855*g**2 - 350*g = 0.
0, 5/9, 14/9
Factor -3*w**2 + 39*w - 66.
-3*(w - 11)*(w - 2)
Suppose 9*k**2 + 132*k + 484 = 0. What is k?
-22/3
Let 5*h**3 - 1570*h**2 + 120045*h + 505620 = 0. What is h?
-4, 159
Suppose -3*q**3 + 129*q + 126 = 0. What is q?
-6, -1, 7
Factor i**4/3 + 544*i**3/3 + 36992*i**2 + 10061824*i/3 + 342102016/3.
(i + 136)**4/3
Find r, given that -6*r**2/13 + 206*r/13 - 68/13 = 0.
1/3, 34
Suppose n**2 + 1271*n + 1270 = 0. Calculate n.
-1270, -1
Let -28*i**5 + 92*i**4 + 116*i**3 - 124*i**2 - 88*i + 32 = 0. What is i?
-1, 2/7, 1, 4
Factor 2*j**3/13 + 76*j**2/13 - 478*j/13 - 2064/13.
2*(j - 8)*(j + 3)*(j + 43)/13
Find x, given that x**5/2 - 6*x**4 - 27*x**3/2 + 459*x**2 - 2106*x + 2916 = 0.
-9, 3, 6
Let 6*n**4/7 + 16*n**3/7 - 6*n**2 - 36*n/7 + 16/7 = 0. Calculate n.
-4, -1, 1/3, 2
Suppose 4*v**3 - 36*v**2 + 108*v - 108 = 0. Calculate v.
3
Factor 5*u**3 - 45*u**2 - 185*u + 825.
5*(u - 11)*(u - 3)*(u + 5)
What is m in 125*m**4 - 900*m**3 + 960*m**2 - 368*m + 48 = 0?
2/5, 6
Factor -i**