d**2/3 + 122*d.
d*(d - 183)*(d - 1)*(d + 2)/3
Solve -2*i**5 + 54*i**4 + 178*i**3 + 66*i**2 - 176*i - 120 = 0.
-2, -1, 1, 30
Factor -p**5/2 - 17*p**4/2 + 19*p**3 + 423*p**2 - 3861*p/2 + 4563/2.
-(p - 3)**3*(p + 13)**2/2
Suppose -3*h**5/2 - 39*h**4/2 + 93*h**3/2 + 39*h**2/2 - 45*h = 0. Calculate h.
-15, -1, 0, 1, 2
Solve b**3 + 60*b**2 - 124*b = 0.
-62, 0, 2
Determine v, given that -4*v**3 - 9956*v**2 + 9968*v + 19920 = 0.
-2490, -1, 2
Factor s**2 + 234*s - 1936.
(s - 8)*(s + 242)
Factor -54*y**2/5 + 52*y - 176/5.
-2*(y - 4)*(27*y - 22)/5
Factor -4*l**4 + 12*l**3 + 16*l**2.
-4*l**2*(l - 4)*(l + 1)
Let -3*h**2 + 51*h + 180 = 0. Calculate h.
-3, 20
Factor 5*p**4/2 - 40295*p**3/2 + 54129615*p**2 - 48500121610*p + 48446012140.
5*(p - 2686)**3*(p - 1)/2
Factor q**2 + q - 6.
(q - 2)*(q + 3)
Let -b**2 - 943*b - 942 = 0. Calculate b.
-942, -1
Factor -h**3/2 - 11*h**2/2.
-h**2*(h + 11)/2
Find k, given that -k**2/5 - 28*k - 980 = 0.
-70
Suppose -16*g**5 + 28*g**4 + 56*g**3 - 116*g**2 + 32*g + 16 = 0. What is g?
-2, -1/4, 1, 2
Find y such that -y**4 - 22*y**3 + 75*y**2 - 4*y - 100 = 0.
-25, -1, 2
What is g in 4*g**4/7 - 496*g**3/7 - 2032*g**2/7 - 2048*g/7 = 0?
-2, 0, 128
Suppose 5*l**3/4 - 1095*l**2/4 + 79935*l/4 - 1945085/4 = 0. What is l?
73
Let -2*b**5/7 - 22*b**4/7 - 10*b**3/7 + 214*b**2/7 - 180*b/7 = 0. Calculate b.
-9, -5, 0, 1, 2
Factor -4*f**3 + 92*f**2/7 - 24*f/7.
-4*f*(f - 3)*(7*f - 2)/7
Suppose -830*k**5 - 395*k**4 + 3745*k**3 + 1570*k**2 - 1700*k + 40 = 0. What is k?
-2, -1, 2/83, 1/2, 2
Determine k so that -k**5/3 + 5*k**4/3 + k**3 - 17*k**2/3 + 10*k/3 = 0.
-2, 0, 1, 5
Factor 24*u**4 - 4*u**3 - 96*u**2 + 16*u.
4*u*(u - 2)*(u + 2)*(6*u - 1)
Factor -2*t**3/9 - 10*t**2/9 - 8*t/9.
-2*t*(t + 1)*(t + 4)/9
Factor -15*j**2 - 3*j.
-3*j*(5*j + 1)
Let 18*u**5/7 + 200*u**4 - 1842*u**3/7 - 8192*u**2/7 + 1896*u/7 = 0. Calculate u.
-79, -2, 0, 2/9, 3
Find a, given that -3*a**4 + 33*a**3 + 42*a**2 - 72*a = 0.
-2, 0, 1, 12
Factor 3*t**2 + 3*t - 6.
3*(t - 1)*(t + 2)
Factor -10000*d**4 + 219900*d**3 - 4831201*d**2/4 - 24189*d/2 - 121/4.
-(d - 11)**2*(200*d + 1)**2/4
Let j**3 + 2145*j**2 + 1533675*j + 365525875 = 0. Calculate j.
-715
Factor -3*n**2/4 + 63*n/2 + 405/4.
-3*(n - 45)*(n + 3)/4
Factor t**5 - 14*t**4 + 53*t**3 - 40*t**2.
t**2*(t - 8)*(t - 5)*(t - 1)
Factor -3*t**4 + 9*t**2 - 6*t.
-3*t*(t - 1)**2*(t + 2)
Factor -2*v**3/25 + 8*v**2/25 + 2*v/25 - 8/25.
-2*(v - 4)*(v - 1)*(v + 1)/25
Factor -5*o**4/3 + 1270*o**3/3 - 5000*o**2/3.
-5*o**2*(o - 250)*(o - 4)/3
Factor -o**4 + 36*o**3 - 209*o**2 + 174*o.
-o*(o - 29)*(o - 6)*(o - 1)
Factor -2*i**2/5 + 34*i/5 + 108.
-2*(i - 27)*(i + 10)/5
Factor 1488*d**2/5 - 416*d/5 + 28/5.
4*(6*d - 1)*(62*d - 7)/5
Find x, given that -2*x**5/3 + 88*x**4/3 - 56*x**3 - 4*x**2/3 + 170*x/3 - 28 = 0.
-1, 1, 42
Factor -r**5 + 17*r**4 + r**3 - 17*r**2.
-r**2*(r - 17)*(r - 1)*(r + 1)
Determine x, given that x**3 + 47*x**2 + 680*x + 2800 = 0.
-20, -7
Factor 2*n**2 + 12*n - 54.
2*(n - 3)*(n + 9)
Factor -5*w**3 + 65*w**2 - 115*w + 55.
-5*(w - 11)*(w - 1)**2
Let 11*j**2/4 + 47*j/4 + 3 = 0. What is j?
-4, -3/11
Determine u so that 2*u**4 + 36*u**3 + 184*u**2 + 348*u + 198 = 0.
-11, -3, -1
Suppose -3*q**5/2 + 2637*q**4/2 - 3942*q**3 - 6*q**2 + 5256*q = 0. What is q?
-1, 0, 2, 876
Determine z, given that -2*z**5/13 + 64*z**4/13 - 114*z**3/13 - 196*z**2/13 + 488*z/13 - 240/13 = 0.
-2, 1, 2, 30
Suppose -5*d**3 + 35*d**2 - 80*d + 60 = 0. Calculate d.
2, 3
Solve -3*s**2/7 - 3462*s/7 = 0 for s.
-1154, 0
Determine n so that -2*n**3 - 140*n**2 - 2146*n + 10952 = 0.
-37, 4
Factor -3*o**4 + 9*o**3 + 3*o**2 - 9*o.
-3*o*(o - 3)*(o - 1)*(o + 1)
Determine r so that 65*r**3 + 15330*r**2 + 902700*r - 139240 = 0.
-118, 2/13
Let -2*s**2/15 + 28*s/15 - 16/5 = 0. Calculate s.
2, 12
Suppose 3*l**5 + 93*l**4 + 765*l**3 + 675*l**2 = 0. Calculate l.
-15, -1, 0
Factor -2*j**2 - 270*j.
-2*j*(j + 135)
Solve 4*m**3/9 + 356*m**2/9 + 9020*m/9 + 47068/9 = 0.
-41, -7
Factor 2*r**5 + 252*r**4 + 10368*r**3 + 138240*r**2.
2*r**2*(r + 30)*(r + 48)**2
Let k**2/2 - 59*k/2 + 182 = 0. Calculate k.
7, 52
Factor l**2/10 - 12*l/5 + 27/2.
(l - 15)*(l - 9)/10
Solve 9*p**5/8 + 7*p**4/2 + 3*p**3/8 = 0.
-3, -1/9, 0
Solve o**2/2 - 81*o/2 - 41 = 0 for o.
-1, 82
Determine a so that -2*a**5 - 5*a**4 + 61*a**3 - 23*a**2 - 59*a + 28 = 0.
-7, -1, 1/2, 1, 4
Suppose 6*k**4/7 + 96*k**3/7 + 348*k**2/7 + 144*k/7 - 594/7 = 0. Calculate k.
-11, -3, 1
Determine o, given that -o**3 - 47*o**2 + 805*o - 2989 = 0.
-61, 7
Factor n**3/5 - 2*n**2 - 11*n/5.
n*(n - 11)*(n + 1)/5
Find k, given that -15*k**2/4 + 621*k/2 + 249/4 = 0.
-1/5, 83
Factor j**3/3 - 56*j**2/3 - 3*j + 168.
(j - 56)*(j - 3)*(j + 3)/3
Factor -2*j**3 - 4888*j**2/3 + 19576*j/9 - 2176/3.
-2*(j + 816)*(3*j - 2)**2/9
Suppose -16*w**2/9 - 194*w/9 - 8/3 = 0. Calculate w.
-12, -1/8
Let -4*g**4/3 + 80*g**3 - 156*g**2 + 232*g/3 = 0. Calculate g.
0, 1, 58
Factor h**2 + 18*h.
h*(h + 18)
Find o, given that o**3 + 25*o**2 + 127*o - 153 = 0.
-17, -9, 1
Factor -8*o**3 - 382*o**2 + 488*o - 98.
-2*(o - 1)*(o + 49)*(4*o - 1)
Let f**2/4 + 130*f - 521/4 = 0. What is f?
-521, 1
Factor h**3/5 + 17*h**2 - 173*h/5 + 87/5.
(h - 1)**2*(h + 87)/5
What is g in g**4 - 2446*g**3 + 1500612*g**2 - 5970690*g + 4472523 = 0?
1, 3, 1221
Solve a**5/8 - 233*a**4/4 + 72073*a**3/8 - 912717*a**2/2 - 939978*a - 474552 = 0.
-1, 156
Determine n so that -6*n**3 - 434*n**2/3 - 140*n/9 + 32/3 = 0.
-24, -1/3, 2/9
Determine y, given that -4*y**5/5 - 172*y**4/5 - 1576*y**3/5 + 1160*y**2 - 6164*y/5 + 2116/5 = 0.
-23, 1
Factor -2*v**2/7 + 12*v/7 - 10/7.
-2*(v - 5)*(v - 1)/7
Find d such that -15*d**5 - 280*d**4 - 1690*d**3 - 3080*d**2 + 1225*d = 0.
-7, -5, 0, 1/3
Factor -2*z**3/15 + 18*z**2/5 + 242*z/15 + 62/5.
-2*(z - 31)*(z + 1)*(z + 3)/15
Solve -21*r**5 - 204*r**4 - 381*r**3 + 882*r**2 + 2052*r - 648 = 0 for r.
-6, -3, 2/7, 2
Factor -5*b**5 - 455*b**4 - 10575*b**3 - 10125*b**2.
-5*b**2*(b + 1)*(b + 45)**2
What is v in -v**5/10 + 31*v**4/10 - 19*v**3 - 383*v**2/5 - 833*v/10 - 289/10 = 0?
-1, 17
Factor -y**4 + 4*y**3 - 2*y**2 - 4*y + 3.
-(y - 3)*(y - 1)**2*(y + 1)
Determine w so that 20*w**3 - 108*w**2 - 24*w + 320 = 0.
-8/5, 2, 5
Factor c**3 + 17*c**2 + 66*c.
c*(c + 6)*(c + 11)
Factor s**2/2 - 21*s/2 - 23.
(s - 23)*(s + 2)/2
Factor -5*x**3 - 19020*x**2 - 18068985*x + 36214090.
-5*(x - 2)*(x + 1903)**2
What is h in -2*h**2/15 - 208*h/15 + 424/15 = 0?
-106, 2
Factor -4*k**3 - 4556*k**2 - 1295040*k + 1299600.
-4*(k - 1)*(k + 570)**2
Let p**3/2 - 2*p**2 - 9*p/2 + 18 = 0. What is p?
-3, 3, 4
Let -c**2 - 4*c + 5 = 0. Calculate c.
-5, 1
Factor -m**4/3 - 5*m**3 + 21*m**2 + 167*m/3 + 30.
-(m - 5)*(m + 1)**2*(m + 18)/3
Determine u, given that -u**5 + 160*u**4 + 1494*u**3 + 4536*u**2 + 4563*u = 0.
-3, 0, 169
Solve 2*x**3/3 + 178*x**2/3 + 1290*x - 1350 = 0 for x.
-45, 1
Factor -m**4/4 - 43*m**3/4 + 89*m**2/4 - 45*m/4.
-m*(m - 1)**2*(m + 45)/4
Determine x, given that -4*x**2 + 52*x - 48 = 0.
1, 12
Suppose 2*z**2/25 - 12*z/25 - 224/25 = 0. Calculate z.
-8, 14
Factor 3*i**3/5 - 67*i**2/5 + 17*i - 21/5.
(i - 21)*(i - 1)*(3*i - 1)/5
Factor 2*v**2/9 + 1504*v/9 + 282752/9.
2*(v + 376)**2/9
Let -2*m**3 - 992*m**2 - 126880*m - 952576 = 0. What is m?
-244, -8
Let -4*u**3/7 - 20*u**2/7 - 8*u/7 + 32/7 = 0. Calculate u.
-4, -2, 1
What is u in -27*u**5/4 + 87*u**4/4 + 711*u**3/4 - 3807*u**2/4 + 1296*u - 243 = 0?
-6, 2/9, 3
Suppose -4*t**2 + 1052*t + 1056 = 0. What is t?
-1, 264
Solve -4*y**2 + 216*y + 1440 = 0.
-6, 60
Find v, given that -140*v**2 + 276*v + 8 = 0.
-1/35, 2
Factor -4*c**4/7 - 2096*c**3/7 + 6312*c**2/7 - 6320*c/7 + 2108/7.
-4*(c - 1)**3*(c + 527)/7
Determine a, given that -2*a**3/11 - 18*a**2/11 - 46*a/11 - 30/11 = 0.
-5, -3, -1
Factor -4*g**2/5 + 104*g/5 - 84.
-4*(g - 21)*(g - 5)/5
Factor 5*y**2/3 + 6950*y/3.
5*y*(y + 1390)/3
What is z in 2*z**4/11 - 2*z**3/11 - 2*z**2/11 + 2*z/11 = 0?
-1, 0, 1
Find p, given that -5*p**2 - 15365*p + 15370 = 0.
-3074, 1
Find o such that 78125*o**3 + 70625*o**2 - 7320*o + 180 = 0.
-1, 6/125
Solve -g**5 - 110*g**4 - 3340*g**3 - 17480*g**2 - 33280*g - 21632 = 0.
-52, -2
Factor -d**3/6 - d**2/6 + 6*d + 6.
-(d - 6)*(d + 1)*(d + 6)/6
Find r, given that 3*r**4/5 - 48*r**3/5 + 192*r**2/5 = 0.
0, 8
What is a in -2*a**2 - 34*a + 36 = 0?
-18, 1
Factor 3*l**3/5 + 9*l**2/5 - 54*l/5.