-8, -1/2
Find z such that -3*z**2/7 + 106*z/7 - 5 = 0.
1/3, 35
Determine y, given that -2*y**4 + 62*y**3 + 204*y**2 + 8*y - 272 = 0.
-2, 1, 34
Let 2*s**5/7 - 80*s**4/7 + 876*s**3/7 - 1520*s**2/7 + 722*s/7 = 0. What is s?
0, 1, 19
Factor 2*u**3/7 + 1140*u**2/7.
2*u**2*(u + 570)/7
Factor 4*i**3 + 68*i**2 + 124*i + 60.
4*(i + 1)**2*(i + 15)
Factor 2*z**2 - 2*z - 84.
2*(z - 7)*(z + 6)
Factor 4*l**3 - 948*l**2 - 1924*l + 2868.
4*(l - 239)*(l - 1)*(l + 3)
Determine r so that 4*r**3 - 128*r**2 + 556*r - 432 = 0.
1, 4, 27
Factor 3*q**5 - 12*q**4 - 432*q**3 - 2112*q**2 - 3072*q.
3*q*(q - 16)*(q + 4)**3
Factor 3*b**4 + 12*b**3 + 15*b**2 + 6*b.
3*b*(b + 1)**2*(b + 2)
Factor 4*o**3 + 20*o**2 + 28*o + 12.
4*(o + 1)**2*(o + 3)
Suppose x**5 + 8*x**4 + 23*x**3 + 28*x**2 + 12*x = 0. Calculate x.
-3, -2, -1, 0
Suppose -c**2 + 26*c - 69 = 0. Calculate c.
3, 23
Factor 3*w**3/4 + 3*w**2/4 - 3*w/4 - 3/4.
3*(w - 1)*(w + 1)**2/4
Suppose 2*b**2/7 + 92*b/7 + 1058/7 = 0. Calculate b.
-23
Factor -q**5 - 13*q**4 - 55*q**3 - 103*q**2 - 88*q - 28.
-(q + 1)**2*(q + 2)**2*(q + 7)
Find a, given that -3*a**5 - 12*a**4 - 15*a**3 - 6*a**2 = 0.
-2, -1, 0
Factor x**3/3 + 4*x**2/3 - 91*x/3 - 490/3.
(x - 10)*(x + 7)**2/3
Find b such that -5*b**2 + 27140*b - 36828980 = 0.
2714
Factor -2*q**3/11 + 378*q**2/11 - 17670*q/11 - 18050/11.
-2*(q - 95)**2*(q + 1)/11
Factor -2*c**4/3 - 4*c**3 + 32*c**2/3.
-2*c**2*(c - 2)*(c + 8)/3
Factor -i**5/5 - 43*i**4/5 - 42*i**3/5.
-i**3*(i + 1)*(i + 42)/5
Solve -10*r**2 - 166*r + 68 = 0.
-17, 2/5
What is r in -5*r**2 - 3115*r - 3110 = 0?
-622, -1
Determine n so that 4*n**2/5 + 344*n - 6944/5 = 0.
-434, 4
Suppose 3*t**4/7 + 15*t**3/7 + 24*t**2/7 + 12*t/7 = 0. What is t?
-2, -1, 0
Find t such that -2*t**2/5 - 12*t/5 = 0.
-6, 0
Determine j, given that -2*j**2 + 2984*j + 5976 = 0.
-2, 1494
Factor -3*y**3 + 2877*y**2 - 694056*y + 2056356.
-3*(y - 478)**2*(y - 3)
Factor -r**3/2 - 19*r**2/2 + 57*r - 72.
-(r - 3)*(r - 2)*(r + 24)/2
Factor -2*g**2/13 - 1032*g/13 + 1034/13.
-2*(g - 1)*(g + 517)/13
Factor -4*j**3/9 + 40*j**2/9 - 28*j/9 - 8.
-4*(j - 9)*(j - 2)*(j + 1)/9
Find y, given that 3*y**4/2 - 39*y**3 + 63*y**2/2 + 156*y - 150 = 0.
-2, 1, 2, 25
Let -7*o**5 - 268*o**4 - 76*o**3 = 0. What is o?
-38, -2/7, 0
Determine d, given that -d**4/2 + 21*d**3/2 - 95*d**2/2 - 477*d/2 + 1620 = 0.
-5, 8, 9
Solve 2*q**4/15 + 6*q**3/5 + 2*q**2/5 - 74*q/15 + 16/5 = 0.
-8, -3, 1
What is m in 5*m**3 + 55*m**2 - 60*m = 0?
-12, 0, 1
Factor -x**2/2 - x.
-x*(x + 2)/2
Factor -4*n**3 - 156*n**2.
-4*n**2*(n + 39)
Factor -3*q**3 - 171*q**2 - 2301*q + 2475.
-3*(q - 1)*(q + 25)*(q + 33)
Find s such that -2*s**2 + 20*s - 32 = 0.
2, 8
Find q such that -4*q**3/5 - 232*q**2/5 + 4*q/5 + 232/5 = 0.
-58, -1, 1
Factor -3*z**2 - 330*z + 333.
-3*(z - 1)*(z + 111)
Factor -5*s**2 - 185*s + 600.
-5*(s - 3)*(s + 40)
Factor -33*x**2 + 834*x - 2376.
-3*(x - 22)*(11*x - 36)
Suppose -4*p**2 + 4*p + 528 = 0. What is p?
-11, 12
Suppose 2*p**2/3 + 214*p/3 - 436/3 = 0. What is p?
-109, 2
Solve z**5/2 + 2*z**4 - 3*z**3/2 - 9*z**2 = 0 for z.
-3, 0, 2
What is t in 2*t**2/11 + 168*t/11 + 3510/11 = 0?
-45, -39
Solve -l**4/5 - 8*l**3/5 + 3*l**2/5 + 26*l/5 + 16/5 = 0 for l.
-8, -1, 2
What is j in j**2/2 - 438*j + 95922 = 0?
438
Factor 3*w**2 - 702*w + 699.
3*(w - 233)*(w - 1)
Determine t so that 3*t**4/7 + 12*t**3/7 - 3*t**2/7 - 12*t/7 = 0.
-4, -1, 0, 1
What is o in o**4/3 + 4*o**3/3 + 4*o**2/3 = 0?
-2, 0
Solve 9*d**4 - 12*d**3 - 83*d**2 - 50*d - 8 = 0 for d.
-2, -1/3, 4
Solve 4*d**4/3 - 263*d**3/3 + 1914*d**2 - 41140*d/3 - 10648/3 = 0 for d.
-1/4, 22
Solve s**3 + 17*s**2 + 14*s - 32 = 0 for s.
-16, -2, 1
Solve -5*b**5 - 60*b**4 - 250*b**3 - 440*b**2 - 345*b - 100 = 0 for b.
-5, -4, -1
Factor 243*p**3/2 - 216*p**2 - 33*p/2 + 121.
(3*p + 2)*(9*p - 11)**2/2
Suppose -2*f**3 + 1962*f**2 = 0. Calculate f.
0, 981
Factor p**3/4 + 32*p**2 + 805*p - 14700.
(p - 12)*(p + 70)**2/4
Factor 2*g**2 - 112*g.
2*g*(g - 56)
Determine q so that -3*q**2/4 - 108*q - 213 = 0.
-142, -2
Solve t**2/5 - 5*t - 26/5 = 0.
-1, 26
Factor 303*s**4 + 1203*s**3 + 1176*s**2 - 36*s.
3*s*(s + 2)**2*(101*s - 3)
Factor 20*h**3 + 16188*h**2 + 6472*h.
4*h*(h + 809)*(5*h + 2)
Factor 28*v**4 - 132*v**3 + 72*v**2 + 32*v.
4*v*(v - 4)*(v - 1)*(7*v + 2)
Suppose -9*a**5/2 + 3*a**4/2 + 7*a**3 - a**2 - 5*a/2 - 1/2 = 0. What is a?
-1, -1/3, 1
What is n in 2*n**2/7 - 152*n + 20216 = 0?
266
Determine l, given that 2*l**5 + 58*l**4 - 418*l**3 + 118*l**2 + 1712*l + 1120 = 0.
-35, -1, 4
Factor 2*x**4/7 + 62*x**3/7 + 318*x**2/7 + 450*x/7.
2*x*(x + 3)**2*(x + 25)/7
Factor -2*s**2/9 + 650*s/3 + 1952/9.
-2*(s - 976)*(s + 1)/9
Suppose -3*r**5/5 + 171*r**4/5 - 2346*r**3/5 - 2694*r**2/5 + 2349*r/5 + 2523/5 = 0. What is r?
-1, 1, 29
What is z in -4*z**3/3 - 8*z**2 - 44*z/3 - 8 = 0?
-3, -2, -1
Solve 6*i**2/5 + 99*i - 249/5 = 0 for i.
-83, 1/2
Find q such that 10*q**5 - 34*q**4 + 22*q**3 + 26*q**2 - 32*q + 8 = 0.
-1, 2/5, 1, 2
Let 4*v**2/3 - 32*v + 176/3 = 0. Calculate v.
2, 22
Factor 5*l**5 + 110*l**4 + 105*l**3.
5*l**3*(l + 1)*(l + 21)
Factor -2*v**4/5 - 2*v**3 - 16*v**2/5 - 8*v/5.
-2*v*(v + 1)*(v + 2)**2/5
Factor 5*k**4 + 10*k**3 - 25*k**2 - 30*k.
5*k*(k - 2)*(k + 1)*(k + 3)
Factor 5*g**2 - 75*g - 170.
5*(g - 17)*(g + 2)
Factor i**2 + 35*i + 124.
(i + 4)*(i + 31)
What is l in -2*l**3/7 + 44*l**2/7 + 394*l/7 + 348/7 = 0?
-6, -1, 29
Find q such that 4*q**5/7 + 20*q**4 + 492*q**3/7 - 188*q**2/7 - 2032*q/7 - 1488/7 = 0.
-31, -3, -2, -1, 2
Factor 2*r**4/5 - 4*r**3/5 - 8*r**2 - 48*r/5.
2*r*(r - 6)*(r + 2)**2/5
Solve -402*w**4/7 + 1202*w**3/7 + 12*w**2/7 - 1608*w/7 - 16/7 = 0 for w.
-1, -2/201, 2
Solve -y**4/2 - 10*y**3 + 101*y**2/2 + 60*y = 0 for y.
-24, -1, 0, 5
Find j, given that -363*j**5/4 + 32901*j**4/4 - 662817*j**3/4 + 3743259*j**2/4 + 356928*j + 32955 = 0.
-2/11, 13, 65
Let -26*n**2 + 186*n - 28 = 0. What is n?
2/13, 7
What is t in -15*t**3 - 129*t**2 - 177*t - 63 = 0?
-7, -1, -3/5
Factor -3*d**3 - 24*d**2 - 60*d - 48.
-3*(d + 2)**2*(d + 4)
What is v in -5324*v**4 - 3388*v**3 + 3960*v**2 + 3888*v + 864 = 0?
-6/11, 1
Factor -f**2/9 - 17*f/3.
-f*(f + 51)/9
Factor 3*r**4 + 54*r**3 + 267*r**2 + 216*r.
3*r*(r + 1)*(r + 8)*(r + 9)
Determine y, given that 2*y**2 + 10*y - 132 = 0.
-11, 6
Let -2*z**5 + 10*z**4 - 16*z**3 + 8*z**2 = 0. What is z?
0, 1, 2
Determine b, given that b**4/6 + 31*b**3/3 + 1021*b**2/6 + 310*b + 150 = 0.
-30, -1
Solve 3*o**4/2 - 414*o**3 + 1233*o**2 - 1230*o + 819/2 = 0 for o.
1, 273
Factor r**2 - 38*r + 361.
(r - 19)**2
Factor 2*v**5/11 + 14*v**4/11 + 32*v**3/11 + 16*v**2/11 - 32*v/11 - 32/11.
2*(v - 1)*(v + 2)**4/11
Let 3*s**4 - 24*s**3 - 234*s**2 + 1728*s - 2673 = 0. What is s?
-9, 3, 11
Factor -4*a**4 + 12*a**3 + 72*a**2.
-4*a**2*(a - 6)*(a + 3)
Solve 2*v**4 - 14*v**2 + 12*v = 0 for v.
-3, 0, 1, 2
Find q such that 4*q**3 - 224*q**2 = 0.
0, 56
Find x such that -x**3 + 13*x**2 = 0.
0, 13
Factor 18*q**2/5 - 163*q/5 + 9/5.
(q - 9)*(18*q - 1)/5
Factor 3*y**2 + 270*y + 6075.
3*(y + 45)**2
Factor -2*m**3 - 39*m**2 + 62*m - 21.
-(m - 1)*(m + 21)*(2*m - 1)
Suppose 8*z**4/9 - 34*z**3/9 - 32*z**2 + 394*z/9 - 80/9 = 0. Calculate z.
-5, 1/4, 1, 8
Solve f**2 - 31*f - 1020 = 0 for f.
-20, 51
Let 5*x**5 - 1690*x**4 - 8560*x**3 - 5190*x**2 + 15435*x = 0. What is x?
-3, 0, 1, 343
What is q in -6*q**4 - 3*q**3 + 9*q**2 + 3*q - 3 = 0?
-1, 1/2, 1
Find d, given that -5*d**2 - 125*d + 1120 = 0.
-32, 7
Determine i so that i**5/5 - 23*i**4/5 - 10*i**3 - 2*i**2/5 + 49*i/5 + 5 = 0.
-1, 1, 25
Factor 7*u**4/6 + 20*u**3/3 + 23*u**2/6 - 5*u/3.
u*(u + 1)*(u + 5)*(7*u - 2)/6
Factor -4*b**3 - 878*b**2 + 1324*b - 442.
-2*(b - 1)*(b + 221)*(2*b - 1)
Solve -2*b**4/5 - 8*b**3/5 + 6*b**2/5 + 4*b - 16/5 = 0.
-4, -2, 1
Suppose -3*g**2 - 3*g + 6 = 0. Calculate g.
-2, 1
What is r in -3*r**3/2 + 1425*r**2/2 + 2859*r/2 + 1431/2 = 0?
-1, 477
Solve -26*c**5/23 - 490*c**4/23 - 2264*c**3/23 - 3904*c**2/23 - 2048*c/23 + 416/23 = 0 for c.
-13, -2, 2/13
Factor 3456*k**3 + 4320*k**2 + 1800*k + 250.
2*(12*k + 5)**3
Factor -2*u**2 - 44*u - 80.
-2*(u + 2)*(u + 20)
Factor 2*r**5 + 44*r**4 + 384*r**3 + 1660*r**2 + 3550*r + 3000.
2*(r + 3)*(r + 4)*(r + 5)**3
Suppose 3*o**3 + 78*o**2 - 3*o - 78 = 0. What is o?
-26, -1, 1
Factor 4*g**3 - 568*g**2 + 1676*g - 1112.
4*(g - 139)*(g - 2)*(g - 1)
Factor 3*a**4/2 - 288*a**3