*z + 1180 = 0. Calculate z.
-4, -1, 295
Determine x, given that 2*x**2/3 + 80*x/3 + 800/3 = 0.
-20
Determine v so that 2*v**2/11 - 96*v/11 - 2048/11 = 0.
-16, 64
What is z in -2*z**4 + 28*z**3 - 114*z**2 + 152*z - 64 = 0?
1, 4, 8
Suppose 5*g**4 + 10*g**3 - 45*g**2 - 10*g + 40 = 0. Calculate g.
-4, -1, 1, 2
Find b such that 5*b**3 - 630*b**2 - 1275*b - 640 = 0.
-1, 128
Factor -4*u**4 + 80*u**3 - 312*u**2 + 144*u + 540.
-4*(u - 15)*(u - 3)**2*(u + 1)
Suppose t**4/6 - 31*t**3/3 - 104*t**2 - 545*t/3 + 1775/6 = 0. Calculate t.
-5, 1, 71
Solve -3*n**3 - 5607*n**2 = 0.
-1869, 0
Let 3*p**4 - 147*p**3 + 1467*p**2 - 5145*p + 5550 = 0. What is p?
2, 5, 37
Factor u**4/2 - 13*u**3 + 177*u**2/2 - 212*u + 136.
(u - 17)*(u - 4)**2*(u - 1)/2
Factor 36*f**3/5 + 898*f**2/5 - 10*f.
2*f*(f + 25)*(18*f - 1)/5
Suppose -4*v**5/9 - 44*v**4/9 - 172*v**3/9 - 292*v**2/9 - 224*v/9 - 64/9 = 0. Calculate v.
-4, -1
Factor z**4/2 + 3*z**3 + 11*z**2/2 + 3*z.
z*(z + 1)*(z + 2)*(z + 3)/2
Find a such that -a**5 + 1250*a**4 - 1248*a**3 - 1250*a**2 + 1249*a = 0.
-1, 0, 1, 1249
Solve -4*g**4 + 48*g**3 - 108*g**2 = 0 for g.
0, 3, 9
Suppose 3*c**3/4 - 219*c**2/4 + 417*c/4 + 639/4 = 0. What is c?
-1, 3, 71
Let i**2/8 - 335*i/8 - 42 = 0. Calculate i.
-1, 336
Find w, given that -3*w**3 - 66*w**2 + 960*w + 21600 = 0.
-20, 18
Factor 3*v**3/4 - 9*v**2/2 - 12*v.
3*v*(v - 8)*(v + 2)/4
Suppose -3*d**2 + 171*d = 0. What is d?
0, 57
Suppose 3*p**3 + 6*p**2 - 24*p = 0. What is p?
-4, 0, 2
Factor -50*u**2/7 - 320*u/7 - 512/7.
-2*(5*u + 16)**2/7
Let -2*s**2 + 1034*s = 0. What is s?
0, 517
Suppose -64*r**4 + 1088*r**3 - 6936*r**2 + 19652*r - 83521/4 = 0. What is r?
17/4
Factor 2*t**3/7 - 972*t**2/7 + 118098*t/7.
2*t*(t - 243)**2/7
Let -2*h**2/3 - 34*h/3 - 32/3 = 0. What is h?
-16, -1
Suppose 604*h**3/3 - 3622*h**2/3 + 3008*h/3 + 10/3 = 0. What is h?
-1/302, 1, 5
Factor -5*w**4 + 15*w**2 - 10*w.
-5*w*(w - 1)**2*(w + 2)
Determine r so that r**5/4 + 3*r**4/2 + 7*r**3/4 - 3*r**2/2 - 2*r = 0.
-4, -2, -1, 0, 1
Find r such that -20*r**4 - 80*r**3 + 15*r**2 + 65*r + 20 = 0.
-4, -1/2, 1
Determine l, given that -l**2/5 - 37*l/5 = 0.
-37, 0
Solve 3*l**3 - 690*l**2 - 693*l = 0.
-1, 0, 231
Factor 5*i**2/4 + 3220*i + 2073680.
5*(i + 1288)**2/4
What is p in 5*p**4 - 10*p**3 - 195*p**2 + 200*p + 2000 = 0?
-4, 5
Factor -2*o**5/9 - 10*o**4/9 - 16*o**3/9 - 8*o**2/9.
-2*o**2*(o + 1)*(o + 2)**2/9
Find b, given that -189*b**4/5 - 1629*b**3/5 + 663*b**2/5 + 129*b/5 - 54/5 = 0.
-9, -2/7, 1/3
Find q, given that -q**4 - 10*q**3 - 24*q**2 - 22*q - 7 = 0.
-7, -1
Find n such that 2*n**2 + 9876*n + 12191922 = 0.
-2469
Factor 2*s**3/9 + 88*s**2/9 + 280*s/3 + 256.
2*(s + 6)**2*(s + 32)/9
Let -5*i**3 + 135*i**2 - 750*i - 2080 = 0. What is i?
-2, 13, 16
Factor -4*m**2/11 + 854*m/11 - 426/11.
-2*(m - 213)*(2*m - 1)/11
Factor 5*a**3 - 25*a**2 + 30*a.
5*a*(a - 3)*(a - 2)
Factor -m**4/11 - 15*m**3/11 + 51*m**2/11 - 53*m/11 + 18/11.
-(m - 1)**3*(m + 18)/11
Factor -3*y**2 - 6582*y - 6579.
-3*(y + 1)*(y + 2193)
Suppose -4*r**5 + 52*r**4 - 88*r**3 - 8*r**2 + 92*r - 44 = 0. What is r?
-1, 1, 11
What is r in -4*r**3 + 120*r**2/7 + 148*r/7 - 240/7 = 0?
-12/7, 1, 5
Factor 20*r**5 - 45*r**4 + 30*r**3 - 5*r**2.
5*r**2*(r - 1)**2*(4*r - 1)
Let x**4 - 82*x**3 + 613*x**2 - 1572*x + 1332 = 0. What is x?
2, 3, 74
Find l such that -2*l**4/7 + 54*l**3/7 - 528*l**2/7 + 2176*l/7 - 3072/7 = 0.
3, 8
Factor 2*a**2/11 - 72/11.
2*(a - 6)*(a + 6)/11
Factor -4*o**2/9 + 80*o/9.
-4*o*(o - 20)/9
Determine x, given that -23*x**3 - 12*x**2 + 11*x = 0.
-1, 0, 11/23
Let -4*w**2/9 - 608*w/3 - 23104 = 0. Calculate w.
-228
Determine a so that -a**5 - 60*a**4 - 58*a**3 + 60*a**2 + 59*a = 0.
-59, -1, 0, 1
Solve -2*s**5/3 - 184*s**4/3 - 362*s**3/3 - 60*s**2 = 0.
-90, -1, 0
Determine n, given that 400*n**5 + 880*n**4 + 164*n**3 + 8*n**2 = 0.
-2, -1/10, 0
Let -20*n**5 + 128*n**4 - 268*n**3 + 208*n**2 - 48*n = 0. What is n?
0, 2/5, 1, 2, 3
Let -5*n**2/3 + 2290*n/3 - 262205/3 = 0. Calculate n.
229
Suppose 9*w**3 - 102*w**2 - 3717*w - 2430 = 0. What is w?
-15, -2/3, 27
Factor -2*y**4 + 516*y**3 - 33282*y**2.
-2*y**2*(y - 129)**2
Factor -t**3 + 3*t**2 + 4*t - 12.
-(t - 3)*(t - 2)*(t + 2)
Factor 3*v**3 + 45*v**2 - 216*v + 228.
3*(v - 2)**2*(v + 19)
Factor 5*f**3 - 20*f**2 - 140*f - 160.
5*(f - 8)*(f + 2)**2
Factor 2*b**3 - 206*b**2 + 204*b.
2*b*(b - 102)*(b - 1)
Let p**5 - 25*p**4 + 144*p**3 - 344*p**2 + 368*p - 144 = 0. What is p?
1, 2, 18
Factor 3*c**3/7 + 216*c**2/7 - 219*c/7.
3*c*(c - 1)*(c + 73)/7
Factor -b**4 - 124*b**3 - 3843*b**2 + 124*b + 3844.
-(b - 1)*(b + 1)*(b + 62)**2
Factor -3*i**4 - 15*i**3 - 18*i**2 + 12*i + 24.
-3*(i - 1)*(i + 2)**3
Factor 3*f**2/8 - 225*f/4 + 621.
3*(f - 138)*(f - 12)/8
Factor -4*r**3 + 32*r**2.
-4*r**2*(r - 8)
Determine j so that 22*j**2/7 - 58*j/7 - 24/7 = 0.
-4/11, 3
Factor 3*a**2 + 24*a + 36.
3*(a + 2)*(a + 6)
What is t in -5*t**4 - 5*t**3 + 480*t**2 + 1820*t + 1760 = 0?
-8, -2, 11
Find q such that q**3/6 + 28*q**2/3 + 259*q/6 + 34 = 0.
-51, -4, -1
Factor 6*m**4/7 + 288*m**3/7 - 306*m**2/7 - 84*m.
6*m*(m - 2)*(m + 1)*(m + 49)/7
Factor p**2/2 + 247*p/2.
p*(p + 247)/2
Solve 7*w**4 + 320*w**3 - 785*w**2 - 810*w + 288 = 0.
-48, -1, 2/7, 3
Determine x, given that x**2/4 + 157*x/2 + 310 = 0.
-310, -4
Factor -2*c**3/7 + 24*c**2/7 - 82*c/7 + 12.
-2*(c - 7)*(c - 3)*(c - 2)/7
Factor 2*c**4 + 132*c**3 + 2760*c**2 + 14812*c - 73002.
2*(c - 3)*(c + 23)**3
Suppose g**3/3 + 3433*g**2/3 - 3434*g/3 = 0. What is g?
-3434, 0, 1
Factor -4*n**4 + 147*n**3 - 107*n**2 - 36*n.
-n*(n - 36)*(n - 1)*(4*n + 1)
Factor 3*d**4 - 46*d**3 - 83*d**2 - 34*d.
d*(d - 17)*(d + 1)*(3*d + 2)
Solve -u**4 - 28*u**3 + 93*u**2 - 4*u - 124 = 0 for u.
-31, -1, 2
Find p, given that -5*p**2 + 180*p - 175 = 0.
1, 35
Solve -i**3/2 + 366*i**2 - 66978*i = 0 for i.
0, 366
Factor i**2/3 - 20*i/3 + 12.
(i - 18)*(i - 2)/3
Suppose -2*v**5 - 42*v**4 - 38*v**3 + 42*v**2 + 40*v = 0. What is v?
-20, -1, 0, 1
Find d such that 4*d**5 - 40*d**4 + 68*d**3 + 496*d**2 - 2112*d + 2304 = 0.
-4, 3, 4
Factor -4*d**2/5 - 171*d/5 - 126/5.
-(d + 42)*(4*d + 3)/5
Solve i**3/2 - 65*i**2 = 0 for i.
0, 130
Find v such that 2*v**4 - 14*v**3 + 34*v**2 - 34*v + 12 = 0.
1, 2, 3
Factor 5*f**5 - 30*f**4 - 15*f**3 + 100*f**2 - 60*f.
5*f*(f - 6)*(f - 1)**2*(f + 2)
What is l in -14*l**4 - 183*l**3 + l**2 + 183*l + 13 = 0?
-13, -1, -1/14, 1
Suppose -5*w**3 + 890*w**2 + 2705*w + 1810 = 0. What is w?
-2, -1, 181
Factor -81*y**3/5 + 9*y**2 + 32*y/5 + 4/5.
-(y - 1)*(9*y + 2)**2/5
Factor 5*c**3 + 30*c**2 + 55*c + 30.
5*(c + 1)*(c + 2)*(c + 3)
Solve -a**2 + 6*a - 5 = 0.
1, 5
Factor -5*f**5 + 65*f**4 - 60*f**3.
-5*f**3*(f - 12)*(f - 1)
Suppose 6*z**3/5 + 202*z**2/5 + 504*z/5 + 248/5 = 0. What is z?
-31, -2, -2/3
Suppose 4*t**4 + 16*t**3 - 8*t**2 - 48*t + 36 = 0. What is t?
-3, 1
Factor 21*g**2/8 + 1383*g/4 - 99.
3*(g + 132)*(7*g - 2)/8
Suppose -2*z**5 - 112*z**4 - 2288*z**3 - 20812*z**2 - 77198*z - 58564 = 0. Calculate z.
-22, -11, -1
Suppose m**5/2 - 3*m**3/2 - m**2 = 0. Calculate m.
-1, 0, 2
Suppose -5*k**4/6 + 21*k**3/2 - 89*k**2/6 + 3*k/2 + 11/3 = 0. What is k?
-2/5, 1, 11
Let -3*w**3 - 204*w**2 - 3468*w = 0. What is w?
-34, 0
Determine t, given that 2*t**3 + 114*t**2 + 1782*t + 4374 = 0.
-27, -3
Find a, given that 2*a**5/17 + 222*a**4/17 + 8212*a**3/17 + 101084*a**2/17 - 8214*a/17 - 101306/17 = 0.
-37, -1, 1
Factor k**2/2 - 13*k/6 + 2/3.
(k - 4)*(3*k - 1)/6
Factor -5*v**3/6 - 45*v**2 - 3775*v/6 - 585.
-5*(v + 1)*(v + 26)*(v + 27)/6
Factor o**4/4 - 281*o**3/2 - 2259*o**2/4 - 707*o - 283.
(o - 566)*(o + 1)**2*(o + 2)/4
Factor o**3 - 44*o**2 - 189*o - 144.
(o - 48)*(o + 1)*(o + 3)
Suppose 4*c**2 + 10504*c + 6895876 = 0. What is c?
-1313
Factor x**3/4 - 13*x**2 + 25*x.
x*(x - 50)*(x - 2)/4
Factor -2859481*k**2/12 + 1691*k/3 - 1/3.
-(1691*k - 2)**2/12
Factor -4*d**4 + 132*d**3 - 1440*d**2 + 5200*d.
-4*d*(d - 13)*(d - 10)**2
Factor -b**2/5 + 279*b/5 - 554/5.
-(b - 277)*(b - 2)/5
Factor -2*w**2 - 1162*w + 2332.
-2*(w - 2)*(w + 583)
Factor -w**5/11 - 67*w**4/11 - 105*w**3 - 99*w**2.
-w**2*(w + 1)*(w + 33)**2/11
Factor h**3/4 - 13*h**2/4 + 7*h/2 + 22.
(h - 11)*(h - 4)*(h + 2)/4
Factor 5*r**5 + 40*r**4 + 30*r**3 - 40*r**2 - 35*r.
5*r*(r - 1)*(r + 1)**2*(r + 7)
Factor -v**4 - 37*v**3 - 137*v**2 - 167*v - 66.
-(v + 1)**2*(v + 2)*(v + 33)
