*(i + 25)
Suppose -9*f**5/4 - 3*f**4/4 + 2*f**3 + f**2 = 0. Calculate f.
-2/3, 0, 1
Let 2*b**2/5 + 118*b/5 + 1376/5 = 0. Calculate b.
-43, -16
Factor -4*x**4 + 12*x**3 + 4*x**2 - 12*x.
-4*x*(x - 3)*(x - 1)*(x + 1)
Determine p, given that -2*p**5/7 + 4*p**4 - 12*p**3 - 208*p**2/7 + 122*p - 84 = 0.
-3, 1, 2, 7
Let 3*r**5 - 195*r**4 - 204*r**3 + 396*r**2 = 0. What is r?
-2, 0, 1, 66
Factor -2*x**3/7 - 66*x**2/7 - 720*x/7 - 2592/7.
-2*(x + 9)*(x + 12)**2/7
Factor o**5/6 - 3*o**4/2 + 25*o**3/6 - 9*o**2/2 + 5*o/3.
o*(o - 5)*(o - 2)*(o - 1)**2/6
Factor 2*l**4 - 14*l**3 - 34*l**2 - 18*l.
2*l*(l - 9)*(l + 1)**2
Factor 2*b**3/17 - 2158*b**2/17 + 587478*b/17 - 2883690/17.
2*(b - 537)**2*(b - 5)/17
Let -3*b**4 - 132*b**3 - 1026*b**2 - 2916*b - 2835 = 0. Calculate b.
-35, -3
Factor -b**3/2 + b**2/2 + 225*b/2 - 1377/2.
-(b - 9)**2*(b + 17)/2
Suppose 3*j**2 - 30*j - 288 = 0. Calculate j.
-6, 16
Factor 3*c**4 - 6*c**3 - 9*c**2 + 24*c - 12.
3*(c - 2)*(c - 1)**2*(c + 2)
Factor 3*r**5 - 6*r**4 - 3*r**3 + 6*r**2.
3*r**2*(r - 2)*(r - 1)*(r + 1)
Find o, given that -o**5/6 - o**4 - o**3/2 + 13*o**2/3 + 4*o = 0.
-4, -3, -1, 0, 2
Factor 5*n**2 - 630*n - 1935.
5*(n - 129)*(n + 3)
Find f such that f**5/4 - 12*f**4 + 657*f**3/4 - 243*f**2/2 - 6561*f - 13122 = 0.
-3, 18
Factor -c**2/4 - 7*c/4 + 15/2.
-(c - 3)*(c + 10)/4
Factor 9*u**3 + 7*u**2 - 34*u - 32.
(u - 2)*(u + 1)*(9*u + 16)
Suppose -5*c**3 - 180*c**2 + 1005*c - 820 = 0. What is c?
-41, 1, 4
Factor 2*s**2 - 98*s - 204.
2*(s - 51)*(s + 2)
Factor -2*z**4 - 12*z**3 + 2*z**2 + 12*z.
-2*z*(z - 1)*(z + 1)*(z + 6)
Determine f so that f**5/2 - 171*f**4/2 + 677*f**3/8 + 257*f**2/4 - 681*f/8 + 85/4 = 0.
-1, 1/2, 1, 170
Factor -k**3 + 13*k**2 + k - 13.
-(k - 13)*(k - 1)*(k + 1)
Suppose -15*j**4 - 35*j**3 + 5*j**2 + 35*j + 10 = 0. Calculate j.
-2, -1, -1/3, 1
Find n, given that -n**4/3 + 10*n**3 - 104*n**2 + 1298*n/3 - 605 = 0.
3, 5, 11
Determine i so that i**3 - 18*i**2 = 0.
0, 18
Factor 3*g**2 + 690*g + 39675.
3*(g + 115)**2
Factor 2*n**2 - 38*n.
2*n*(n - 19)
Factor x**2 - 275*x - 554.
(x - 277)*(x + 2)
Let 4*r**3 + 28*r**2 + 24*r = 0. Calculate r.
-6, -1, 0
Factor 2*n**2/3 - 8674*n/9 - 964/3.
2*(n - 1446)*(3*n + 1)/9
Determine c so that 2*c**4/15 - 28*c**3/15 + 10*c**2/3 - 8*c/5 = 0.
0, 1, 12
Find y, given that -5*y**4/4 - 15*y**3/2 - 45*y**2/4 - 5*y = 0.
-4, -1, 0
Find l, given that 3*l**3 + 735*l**2 + 5688*l = 0.
-237, -8, 0
Factor 4*y**3/9 + 20*y**2/3 - 484*y/9 + 140/3.
4*(y - 5)*(y - 1)*(y + 21)/9
Factor -m**4 - 56*m**3 - 211*m**2 - 156*m.
-m*(m + 1)*(m + 3)*(m + 52)
Factor 5*b**4 + 26*b**3 + 45*b**2 + 28*b + 4.
(b + 1)*(b + 2)**2*(5*b + 1)
Suppose -j**3/2 - 279*j**2/2 + 140*j = 0. Calculate j.
-280, 0, 1
Factor -4*d**2 + 124*d.
-4*d*(d - 31)
Let -169*b**4/3 + 19825*b**3/3 - 6088*b**2/3 + 156*b = 0. What is b?
0, 2/13, 117
Factor 3*q**2 - 2187*q + 2184.
3*(q - 728)*(q - 1)
Determine n, given that -n**2 - 56*n + 1520 = 0.
-76, 20
Factor -s**3 + s**2 + 2*s.
-s*(s - 2)*(s + 1)
Solve -5*k**2 - 55*k - 120 = 0.
-8, -3
Find s such that -s**5 + 203*s**4/3 - 712*s**3/3 + 508*s**2/3 + 256*s/3 = 0.
-1/3, 0, 2, 64
Find j, given that -2*j**2/5 + 58*j + 292/5 = 0.
-1, 146
Factor -s**2 - 37*s.
-s*(s + 37)
Suppose 2*v**5/3 + 218*v**4/3 + 4372*v**3/3 - 84428*v**2/3 + 121390*v - 156282 = 0. Calculate v.
-61, 3, 7
Solve 4*w**3/9 + 308*w**2/9 - 3064*w/9 + 2752/9 = 0 for w.
-86, 1, 8
Factor 3*w**2 + 81*w - 84.
3*(w - 1)*(w + 28)
Factor -54*n**5/5 + 2106*n**4/5 - 21564*n**3/5 + 4036*n**2 - 6574*n/5 + 722/5.
-2*(n - 19)**2*(3*n - 1)**3/5
Factor 4*g**2 + 40*g - 96.
4*(g - 2)*(g + 12)
Factor 6*q**3/17 - 4574*q**2/17 + 872490*q/17 - 290322/17.
2*(q - 381)**2*(3*q - 1)/17
Factor 3*f**5 + 18*f**4 + 36*f**3 + 30*f**2 + 9*f.
3*f*(f + 1)**3*(f + 3)
Let -3*s**2 + 11898*s = 0. Calculate s.
0, 3966
Factor 3*i**2/5 - 12*i - 207/5.
3*(i - 23)*(i + 3)/5
Factor 5*h**2 - 190*h - 840.
5*(h - 42)*(h + 4)
Determine j so that j**4/7 + 46*j**3/7 + 348*j**2/7 + 562*j/7 + 37 = 0.
-37, -7, -1
Factor -9*d**2/2 + 227*d/2 - 25.
-(d - 25)*(9*d - 2)/2
What is m in 5*m**4 - 60*m**3 - 720*m**2 + 8640*m = 0?
-12, 0, 12
Factor o**4 + 32*o**3 - 3*o**2 - 94*o + 64.
(o - 1)**2*(o + 2)*(o + 32)
Solve 5*i**5 - 55*i**4 + 195*i**3 - 305*i**2 + 220*i - 60 = 0.
1, 2, 6
Determine o, given that -5*o**3 - 40*o**2 - 65*o - 30 = 0.
-6, -1
Find k such that 2*k**4 - 36*k**3 + 96*k**2 - 92*k + 30 = 0.
1, 15
Factor 4*a**2 - 516*a + 2000.
4*(a - 125)*(a - 4)
Factor -2*l**4 - 48*l**3.
-2*l**3*(l + 24)
Factor 10*g**5 - 256*g**4 + 150*g**3.
2*g**3*(g - 25)*(5*g - 3)
Find c, given that -75*c**5 + 390*c**4 - 606*c**3 + 84*c**2/5 + 3381*c/5 - 2058/5 = 0.
-1, 7/5, 2
Let p**5/4 - 6*p**4 + 81*p**3/2 - 44*p**2 - 363*p/4 = 0. Calculate p.
-1, 0, 3, 11
What is f in -3*f**4/4 + 27*f**3/4 - 21*f**2 + 27*f - 12 = 0?
1, 2, 4
Suppose 4*d**3 - 620*d**2 + 616*d = 0. What is d?
0, 1, 154
Let 5*f**4 + 270*f**3 + 1025*f**2 + 1260*f + 500 = 0. What is f?
-50, -2, -1
Factor -3*c**3/4 + 51*c**2/4 - 33*c + 21.
-3*(c - 14)*(c - 2)*(c - 1)/4
Factor y**3/2 + 7*y**2/2 + 7*y/2 - 15/2.
(y - 1)*(y + 3)*(y + 5)/2
Find k, given that 5*k**5 + 90*k**4 + 400*k**3 + 480*k**2 = 0.
-12, -4, -2, 0
Factor -7*m**3 - 100*m**2 + 77*m + 30.
-(m - 1)*(m + 15)*(7*m + 2)
Factor 2*f**2/7 + 148*f/7 + 2738/7.
2*(f + 37)**2/7
Factor -55*g**3/4 - 520*g**2 - 19475*g/4 + 1805/2.
-5*(g + 19)**2*(11*g - 2)/4
Factor n**2/4 - 9*n.
n*(n - 36)/4
Let 3*r**3 - 183*r**2 - 588*r + 768 = 0. What is r?
-4, 1, 64
Factor -v**2 - 4*v + 5.
-(v - 1)*(v + 5)
What is m in -2*m**3/9 - 32*m**2/9 - 8*m/9 + 224/3 = 0?
-14, -6, 4
Let i**3/2 + 125*i**2/2 + 3843*i/2 - 3969/2 = 0. Calculate i.
-63, 1
Factor g**2/3 + 10*g/3 - 119/3.
(g - 7)*(g + 17)/3
Solve 6*q**5/7 + 34*q**4 + 1398*q**3/7 + 2634*q**2/7 + 1996*q/7 + 528/7 = 0.
-33, -4, -1, -2/3
Factor 5*m**4 - 355*m**3 + 1020*m**2.
5*m**2*(m - 68)*(m - 3)
Factor 3*n**2 - 570*n - 573.
3*(n - 191)*(n + 1)
Factor -5*t**4 - 25*t**3 - 10*t**2 + 40*t.
-5*t*(t - 1)*(t + 2)*(t + 4)
Factor -2*o**2 + 120*o - 232.
-2*(o - 58)*(o - 2)
What is x in -6*x**5/11 - 46*x**4/11 - 64*x**3/11 - 24*x**2/11 = 0?
-6, -1, -2/3, 0
Suppose -250*w**3/13 - 200*w**2/13 - 50*w/13 - 4/13 = 0. Calculate w.
-2/5, -1/5
Suppose -d**5/5 + 11*d**4/5 - 39*d**3/5 + 41*d**2/5 + 32*d/5 - 12 = 0. What is d?
-1, 2, 3, 5
Factor 5*d**4 - 65*d**3 + 250*d**2 - 280*d.
5*d*(d - 7)*(d - 4)*(d - 2)
Find b such that -2*b**3/7 - 32*b**2/7 - 120*b/7 = 0.
-10, -6, 0
Factor 14*z**3 + 4*z**2 - 14*z - 4.
2*(z - 1)*(z + 1)*(7*z + 2)
Suppose 98*u**4/5 - 126*u**3/5 - 558*u**2/5 + 166*u/5 - 12/5 = 0. What is u?
-2, 1/7, 3
Factor -2*a**2/5 + 2696*a/5 - 908552/5.
-2*(a - 674)**2/5
Factor -4*w**4 - 92*w**3 - 564*w**2 - 308*w + 968.
-4*(w - 1)*(w + 2)*(w + 11)**2
Find i such that 2*i**5/21 + 2*i**4/7 - 2*i**3 - 2*i**2/3 + 40*i/7 - 24/7 = 0.
-6, -2, 1, 3
Solve 2*c**4 + 74*c**3 + 336*c**2 + 520*c + 256 = 0 for c.
-32, -2, -1
Determine k, given that -6*k**2 + 119*k/4 + 5/4 = 0.
-1/24, 5
Let -y**5/5 + 13*y**4/5 - 12*y**3 + 112*y**2/5 - 64*y/5 = 0. What is y?
0, 1, 4
Factor 2*x**3 - 910*x**2 + 103056*x + 103968.
2*(x - 228)**2*(x + 1)
Let -v**3 - 12*v**2 - 23*v + 36 = 0. What is v?
-9, -4, 1
Factor t**4/4 + 9*t**3/4 + 15*t**2/4 + 7*t/4.
t*(t + 1)**2*(t + 7)/4
Factor -4*c**2/5 - 8224*c/5 + 8228/5.
-4*(c - 1)*(c + 2057)/5
Find t such that -2*t**3/9 + 10*t**2 - 304*t/9 - 328/3 = 0.
-2, 6, 41
Factor -5*g**2 + 9420*g - 4436820.
-5*(g - 942)**2
Suppose g**3 - 154*g**2 - 155*g = 0. Calculate g.
-1, 0, 155
Factor 20*z**4/3 - 52*z**3/3 - 8*z**2.
4*z**2*(z - 3)*(5*z + 2)/3
Factor -3*c**3/5 + 9*c**2/5 + 18*c/5 - 24/5.
-3*(c - 4)*(c - 1)*(c + 2)/5
What is q in -q**4 + 13*q**3 - 21*q**2 - 85*q - 50 = 0?
-1, 5, 10
Determine y, given that y**2/6 - 8*y/3 + 5/2 = 0.
1, 15
Factor 2*o**2 - 468*o - 470.
2*(o - 235)*(o + 1)
Determine c so that -c**2/4 - 5*c/2 - 6 = 0.
-6, -4
What is g in -46*g**2/5 - 14*g - 24/5 = 0?
-1, -12/23
Factor 4*z**4/5 + 8*z**3/5 - 16*z**2/5 - 32*z/5.
4*z*(z - 2)*(z + 2)**2/5
Let -2*c**5/11 + 2*c**4/11 + 10*c**3/11 + 6*c**2/11 = 0. Calculate c.
-1, 0, 3
Determine f so that 2*f**4 + 308*f**3 - 14040*f**2 + 191308*f - 848042 = 0.
-193, 13
Factor -o**3 - 33*o**2 - 288*o - 256.
-(o + 1)*(o + 16)**2
Let -r**4/2 - 133*r**3/2 + 203*r**2 - 136*r = 0. What is r?
-136, 0, 1, 2
Determine t, given th