1, -2, -1
Let -92*o**3 + 160*o**2 - 44*o - 24 = 0. Calculate o.
-6/23, 1
Factor -4*n**2/3 - 220*n/3 - 72.
-4*(n + 1)*(n + 54)/3
Solve 5*o**4 - 70*o**3 + 115*o**2 + 70*o - 120 = 0 for o.
-1, 1, 2, 12
Factor p**4/4 - 3*p**3 + 5*p**2/4 + 33*p/2.
p*(p - 11)*(p - 3)*(p + 2)/4
Let -5*h**4 - 675*h**3 - 21735*h**2 + 71415*h = 0. What is h?
-69, 0, 3
Suppose 2*q**5/11 - 6*q**3/11 + 4*q**2/11 = 0. What is q?
-2, 0, 1
Factor -5*z**3 - 1180*z**2.
-5*z**2*(z + 236)
Solve -5*z**2 + 110*z - 525 = 0.
7, 15
Factor -16*h**2 - 22*h - 6.
-2*(h + 1)*(8*h + 3)
Suppose -20*j**3 - 3885*j**2 - 970*j = 0. Calculate j.
-194, -1/4, 0
Determine v so that 3*v**4/5 + 414*v**3/5 + 7887*v**2/5 - 441324*v/5 + 3409068/5 = 0.
-82, 13
Suppose -4*y**5 + 4*y**4 + 116*y**3 - 116*y**2 - 544*y - 320 = 0. Calculate y.
-5, -1, 4
Factor -2*g**4/9 - 1004*g**3/3 - 377000*g**2/3 + 2274064*g/9.
-2*g*(g - 2)*(g + 754)**2/9
Suppose o**4/11 - 3*o**3/11 + o**2/11 + 3*o/11 - 2/11 = 0. What is o?
-1, 1, 2
Factor -v**2/6 + v/6 + 1/3.
-(v - 2)*(v + 1)/6
Let -2*x**3 - 76*x**2/9 - 88*x/9 - 16/9 = 0. What is x?
-2, -2/9
Solve -2*v**4 - 470*v**3 - 26894*v**2 + 84966*v = 0.
-119, 0, 3
Factor 4*j**3 + 4*j**2 - 20*j + 12.
4*(j - 1)**2*(j + 3)
Factor -2*l**3 - 13*l**2 - 25*l - 14.
-(l + 1)*(l + 2)*(2*l + 7)
Factor 2*w**2 + 784*w + 76832.
2*(w + 196)**2
Find l, given that 12*l**4 - 52*l**3 - 2488*l**2 - 1632*l = 0.
-12, -2/3, 0, 17
Determine q so that -q**4 + 106*q**3 - 3105*q**2 + 15500*q - 12500 = 0.
1, 5, 50
Let 3*p**3 + 24651*p**2 + 67519089*p + 61644928257 = 0. What is p?
-2739
Let -4*s**5/3 + 16*s**4/3 + 124*s**3/3 + 56*s**2/3 - 64*s = 0. Calculate s.
-3, -2, 0, 1, 8
Factor y**5/10 - 3*y**4/10 + 3*y**3/10 - y**2/10.
y**2*(y - 1)**3/10
Find a such that 2*a**5 + 42*a**4 + 262*a**3 + 342*a**2 - 648*a = 0.
-9, -4, 0, 1
Factor 4*m**3 - 1328*m**2 + 1316*m + 2648.
4*(m - 331)*(m - 2)*(m + 1)
Factor 5*g**4/2 + g**3 - 3*g**2/2.
g**2*(g + 1)*(5*g - 3)/2
Suppose 5*m**4/4 - 155*m**3/4 - 495*m**2/4 - 505*m/4 - 85/2 = 0. Calculate m.
-1, 34
Let -28*p**5 - 76*p**4 + 388*p**3 + 316*p**2 - 120*p = 0. What is p?
-5, -1, 0, 2/7, 3
Determine x so that 5*x**2 - 90*x = 0.
0, 18
Factor -2*w**2/3 - 3388*w/3 - 1434818/3.
-2*(w + 847)**2/3
Solve 4*q**2 + 15408*q = 0.
-3852, 0
Solve -n**4/4 - 19*n**3/4 + 91*n**2/4 - 29*n/4 - 69/2 = 0.
-23, -1, 2, 3
Solve 1352*p**5 + 6188*p**4 + 6465*p**3/2 + 450*p**2 = 0 for p.
-4, -15/52, 0
Factor -2*o**2/9 - 136*o - 406.
-2*(o + 3)*(o + 609)/9
Suppose -36*j**5 - 260*j**4 - 632*j**3 - 560*j**2 - 96*j = 0. What is j?
-3, -2, -2/9, 0
Factor -4*y**4 + 48*y**3 - 204*y**2 + 368*y - 240.
-4*(y - 5)*(y - 3)*(y - 2)**2
Factor -o**3 + 4*o**2 + 41*o + 36.
-(o - 9)*(o + 1)*(o + 4)
Factor 141*h**2/2 + 153*h/2 + 6.
3*(h + 1)*(47*h + 4)/2
Determine p so that -p**2/4 + 3*p/2 - 2 = 0.
2, 4
Solve 3*h**4/2 - 81*h**3/4 - 873*h**2/4 - 390*h + 252 = 0.
-4, 1/2, 21
Factor 11881*q**3/3 - 71504*q**2/3 + 1309*q/3 - 2.
(q - 6)*(109*q - 1)**2/3
Factor -6*t**3 - 530*t**2 - 176*t.
-2*t*(t + 88)*(3*t + 1)
Let 2*l**4/3 + 464*l**3/3 - 2*l**2/3 - 464*l/3 = 0. What is l?
-232, -1, 0, 1
Suppose t**2 - 1508*t + 568516 = 0. Calculate t.
754
Factor -5*m**4 - 7600*m**3 + 22830*m**2 - 22840*m + 7615.
-5*(m - 1)**3*(m + 1523)
Factor -5*i**2 - 1380*i.
-5*i*(i + 276)
Determine c so that -3*c**2 - 165*c - 162 = 0.
-54, -1
Factor -3*j**3 + 12*j**2 + 12*j - 48.
-3*(j - 4)*(j - 2)*(j + 2)
Factor 3*b**2 - 216*b + 1701.
3*(b - 63)*(b - 9)
Suppose 2*u**4/9 + 40*u**3/9 + 64*u**2/3 + 352*u/9 + 224/9 = 0. What is u?
-14, -2
Determine v, given that v**4/4 - 69*v**3/4 + 1017*v**2/4 - 1831*v/4 + 441/2 = 0.
1, 18, 49
Let 5*s**3 - 2800*s**2 + 5585*s - 2790 = 0. Calculate s.
1, 558
Determine m so that 4*m**3 + 32*m**2 - 2736*m - 36288 = 0.
-18, 28
Determine x so that 4*x**4 - 1172*x**3 + 3492*x**2 - 3484*x + 1160 = 0.
1, 290
Let -3*k**5 - 64*k**4 - 21*k**3 = 0. What is k?
-21, -1/3, 0
Factor -2*z**5 + 16*z**4.
-2*z**4*(z - 8)
Find j, given that -j**2 + 85*j = 0.
0, 85
Factor -3*y**4 + 60*y**3 + 1533*y**2 + 1470*y.
-3*y*(y - 35)*(y + 1)*(y + 14)
Factor -5*x**4 + 410*x**3 - 7965*x**2 - 18900*x + 26460.
-5*(x - 42)**2*(x - 1)*(x + 3)
Factor 4*z**2 - 236*z + 672.
4*(z - 56)*(z - 3)
Find d such that d**2 - 141*d + 1064 = 0.
8, 133
Suppose -3*s**5 - 36*s**4 - 111*s**3 - 126*s**2 - 48*s = 0. What is s?
-8, -2, -1, 0
Determine v so that 3*v**4/4 - 33*v**3 + 303*v**2/2 - 207*v + 351/4 = 0.
1, 3, 39
Find j, given that 10*j**2 + 254*j/5 + 4 = 0.
-5, -2/25
Solve -5*p**4 + 50*p**3 + 145*p**2 - 270*p - 360 = 0.
-3, -1, 2, 12
Suppose -2*v**2/3 - 124*v/3 + 480 = 0. What is v?
-72, 10
Determine g, given that -g**4 + 11*g**3 - 9*g**2 - 11*g + 10 = 0.
-1, 1, 10
What is g in 2*g**4/5 + 8*g**3/5 - 52*g**2 + 200*g - 150 = 0?
-15, 1, 5
Suppose -35*q**3 + 430*q**2 - 120*q = 0. Calculate q.
0, 2/7, 12
Factor -2*n**2 + 212*n/5 - 224.
-2*(n - 10)*(5*n - 56)/5
Suppose t**4/8 - 3*t**3/2 + 21*t**2/4 - 5*t/2 - 75/8 = 0. What is t?
-1, 3, 5
Let 3*t**3 + 378*t**2 + 13851*t + 116964 = 0. Calculate t.
-57, -12
Factor 5*t**3 - 5555*t**2 + 1545675*t - 1540125.
5*(t - 555)**2*(t - 1)
Determine j, given that j**3/2 + 4*j**2 - 82*j + 144 = 0.
-18, 2, 8
Find v such that -4*v**4 - 1652*v**3 - 4932*v**2 - 4924*v - 1640 = 0.
-410, -1
Solve 2*b**4/7 - 260*b**3/7 + 7914*b**2/7 + 34840*b/7 + 35912/7 = 0 for b.
-2, 67
Factor 3*y**2 - 900*y.
3*y*(y - 300)
Find t such that -1125*t**5 + 2550*t**4 - 620*t**3 + 40*t**2 = 0.
0, 2/15, 2
Determine w so that -18*w**5 - 44*w**4 + 12*w**3 + 64*w**2 + 6*w - 20 = 0.
-2, -1, 5/9, 1
What is o in 3*o**3 + 2778*o**2/5 + 111*o = 0?
-185, -1/5, 0
Let 3*q**4 + 90*q**3 - 108*q**2 - 474*q - 279 = 0. Calculate q.
-31, -1, 3
Factor -n**4/2 - n**3 + 2*n**2 + 4*n.
-n*(n - 2)*(n + 2)**2/2
Factor u**2/2 + 147*u/2.
u*(u + 147)/2
Determine c so that 6*c**5 - 46*c**4 + 64*c**3 - 24*c**2 = 0.
0, 2/3, 1, 6
Find w such that -w**5/2 + 3*w**4/2 + 15*w**3/2 - 55*w**2/2 + 3*w + 36 = 0.
-4, -1, 2, 3
Factor i**2/4 - 15*i/2.
i*(i - 30)/4
Factor -2*v**4/19 - 6*v**3/19 + 8*v/19.
-2*v*(v - 1)*(v + 2)**2/19
Factor -2*w**2 + 132*w.
-2*w*(w - 66)
Factor -r**4 - 34*r**3 + 108*r**2 - 110*r + 37.
-(r - 1)**3*(r + 37)
Let t**3/4 - 3*t**2/4 - t + 3 = 0. Calculate t.
-2, 2, 3
Determine m so that -9*m**4 - 21*m**3 - 9*m**2 + 9*m + 6 = 0.
-1, 2/3
Factor -2*t**2/7 + 6*t + 540/7.
-2*(t - 30)*(t + 9)/7
Factor -4*q**2/5 + 384*q/5 + 388/5.
-4*(q - 97)*(q + 1)/5
Solve -4*n**5 + 52*n**4 - 224*n**3 + 320*n**2 = 0.
0, 4, 5
Find a, given that 5*a**3 + 35*a**2 - 200*a + 220 = 0.
-11, 2
Determine i, given that -2*i**2 + 1618*i + 1620 = 0.
-1, 810
Factor -4*s**2 + 3760*s - 883600.
-4*(s - 470)**2
What is u in u**2 - 3546*u = 0?
0, 3546
Find v, given that -4*v**5/5 + 232*v**4/5 - 836*v**3 + 24064*v**2/5 - 10640*v + 8000 = 0.
2, 4, 25
Factor -2*w**4 - 70*w**3 - 192*w**2 + 8*w + 256.
-2*(w - 1)*(w + 2)**2*(w + 32)
Determine y, given that 4*y**3/5 - 8*y**2 + 76*y/5 + 24 = 0.
-1, 5, 6
Factor 92*i**2 + 292*i/3 + 16/3.
4*(i + 1)*(69*i + 4)/3
Let -4*d**3 + 40*d**2 - 112*d + 96 = 0. Calculate d.
2, 6
What is u in -57*u**5/5 - 66*u**4 - 441*u**3/5 - 24*u**2 + 48*u/5 = 0?
-4, -1, 0, 4/19
Suppose -3*c**2/2 - 33*c + 69/2 = 0. What is c?
-23, 1
Solve -2*p**2/5 + 52*p/5 - 176/5 = 0 for p.
4, 22
Determine q, given that -q**4/4 + 269*q**3/4 - 67*q**2 = 0.
0, 1, 268
Factor y**3/3 - 15*y**2 + 44*y/3.
y*(y - 44)*(y - 1)/3
What is l in 4*l**4 - 32*l**3 - 244*l**2 - 208*l = 0?
-4, -1, 0, 13
Determine j, given that -j**5/7 + 26*j**4/7 - 81*j**3/7 - 164*j**2/7 + 220*j/7 = 0.
-2, 0, 1, 5, 22
Factor 4*b**2/5 - 2142*b/5 + 214.
2*(b - 535)*(2*b - 1)/5
Find j such that 3*j**5/8 - 3*j**4/2 - 9*j**3/8 + 33*j**2/4 - 3*j/2 - 9 = 0.
-2, -1, 2, 3
Determine h, given that -2*h**4/15 - 6*h**3/5 + 74*h**2/15 + 6*h/5 - 24/5 = 0.
-12, -1, 1, 3
Solve 18*q**2 - 88*q + 64 = 0.
8/9, 4
Determine y, given that 93*y**2 + 198*y + 24 = 0.
-2, -4/31
Factor 2*g**5/7 - 20*g**4/7 + 64*g**3/7 - 64*g**2/7.
2*g**2*(g - 4)**2*(g - 2)/7
Solve -4*u**2/9 - 3380*u/9 - 3376/9 = 0 for u.
-844, -1
Determine x, given that x**5/7 + 2*x**4 + 25*x**3/7 + 12*x**2/7 = 0.
-12, -1, 0
Solve 18*h**4/5 + 22*h**3/5 - 86*h**2/5 + 34*h/5 + 12/5 = 0 for h.
-3, -2/9, 1
Solve 3*k**3/5 - 12*k**2/5 - 3*k = 0.
-1, 0, 5
Factor -4*u**2 - 392*u - 9604.
-4*(u + 49)**2
Find k, given that -3*k**2 - 6