 0. What is d?
-1, 0, 1, 10
Factor p**5 - 7*p**3 + 2*p**2 + 12*p - 8.
(p - 2)*(p - 1)**2*(p + 2)**2
Factor 3*y**4 + 93*y**3 + 87*y**2 - 93*y - 90.
3*(y - 1)*(y + 1)**2*(y + 30)
Find y, given that 676875*y**5/2 + 2036325*y**4/2 + 8556*y**3 - 1353732*y**2 - 11400*y - 24 = 0.
-2, -2/475, 1
Suppose -87*h**2 + 192*h - 36 = 0. Calculate h.
6/29, 2
Suppose 21*x**4 + 69*x**3 + 18*x**2 = 0. What is x?
-3, -2/7, 0
Suppose 2*h**5 - 12*h**4 - 118*h**3 - 288*h**2 - 280*h - 96 = 0. What is h?
-2, -1, 12
Suppose 3*h**3/8 - 57*h**2/4 - 237*h/8 - 15 = 0. Calculate h.
-1, 40
Solve -5*p**2 + 175*p - 870 = 0.
6, 29
Solve 4*j**2 + 312*j + 608 = 0.
-76, -2
Factor p**4/3 + 22*p**3/3.
p**3*(p + 22)/3
Factor -i**3/2 + 2*i**2 + i/2 - 2.
-(i - 4)*(i - 1)*(i + 1)/2
Factor -5*i**4 - 45*i**3 + 90*i**2 + 340*i - 600.
-5*(i - 2)**2*(i + 3)*(i + 10)
Factor j**3/2 + 35*j**2/2 - 408*j.
j*(j - 16)*(j + 51)/2
Factor y**3/6 + 353*y**2/6 + 1211*y/3.
y*(y + 7)*(y + 346)/6
Find g, given that -5*g**4 - 3145*g**3 - 3140*g**2 = 0.
-628, -1, 0
Determine x so that 4*x**3 + 36*x**2 - 48*x - 80 = 0.
-10, -1, 2
Determine r so that r**3 - 13*r**2 + 32*r - 20 = 0.
1, 2, 10
Determine m, given that -10*m**3 + 44*m**2 - 56*m + 16 = 0.
2/5, 2
Let -3*i**5/5 - 12*i**4/5 + 21*i**3/5 + 6*i**2 = 0. What is i?
-5, -1, 0, 2
Let 3*o**5 - 5*o**4 - 65*o**3 - 75*o**2 - 18*o = 0. What is o?
-3, -1, -1/3, 0, 6
Factor 8*s**2 + 434*s - 330.
2*(s + 55)*(4*s - 3)
Suppose 4*s**5 - 48*s**4 + 44*s**3 = 0. What is s?
0, 1, 11
Solve 8*j**4 - 228*j**3 + 1476*j**2 - 572*j - 684 = 0 for j.
-1/2, 1, 9, 19
Find h such that -80*h**5 - 532*h**4 - 1060*h**3 - 344*h**2 + 720*h + 288 = 0.
-3, -2, -2/5, 3/4
Determine h so that 10*h**5/7 - 76*h**4/7 + 152*h**3/7 - 116*h**2/7 + 30*h/7 = 0.
0, 3/5, 1, 5
Factor i**3 + 10*i**2 + 9*i.
i*(i + 1)*(i + 9)
Determine d so that d**2 + 68*d + 195 = 0.
-65, -3
Solve -39*d**2 + 96*d - 36 = 0.
6/13, 2
Let -4*f**4 + 12*f**3 + 108*f**2 - 108*f - 648 = 0. Calculate f.
-3, 3, 6
Factor s**2 - 391*s - 2382.
(s - 397)*(s + 6)
Suppose -2*s**3/3 + 2*s**2/3 + 34*s/3 + 10 = 0. What is s?
-3, -1, 5
Solve -o**3/6 - 13*o**2/6 + 169*o/6 + 2197/6 = 0.
-13, 13
Find h, given that -6*h**3 + 164*h**2/3 - 112*h = 0.
0, 28/9, 6
Let 27*r**4/5 + 279*r**3/5 - 258*r**2/5 - 684*r/5 - 264/5 = 0. What is r?
-11, -2/3, 2
Let 15*l**3 + 41*l**2 + 14*l = 0. What is l?
-7/3, -2/5, 0
Solve -2*f**2/3 - 38*f/3 - 140/3 = 0 for f.
-14, -5
Factor 500*f**3 - 4800*f**2 + 15360*f - 16384.
4*(5*f - 16)**3
Factor -x**2/6 - 892*x/3 - 397832/3.
-(x + 892)**2/6
Determine n, given that n**3/7 + 17*n**2/7 + 75*n/7 + 99/7 = 0.
-11, -3
Factor -t**2/2 + 417*t/2 + 209.
-(t - 418)*(t + 1)/2
Find r, given that -8*r**3/3 - 11*r**2 - 43*r/3 - 6 = 0.
-2, -9/8, -1
Let 15*g**5 + 33*g**4 - 39*g**3 - 9*g**2 = 0. What is g?
-3, -1/5, 0, 1
Factor n**2/2 + 664*n + 220448.
(n + 664)**2/2
Factor -9*o**3 + 502*o**2 - 1319*o - 318.
-(o - 53)*(o - 3)*(9*o + 2)
Factor -u**4/7 + 50*u**3/7 - 513*u**2/7 - 2916*u/7.
-u*(u - 27)**2*(u + 4)/7
Let -2*g**4/11 - 2*g**3/11 + 16*g**2/11 + 24*g/11 = 0. What is g?
-2, 0, 3
Solve -63*n**3/8 - 825*n**2/8 - 417*n/4 - 9 = 0.
-12, -1, -2/21
Determine g so that 3481*g**2/7 + 5310*g/7 + 2025/7 = 0.
-45/59
Solve 2*q**5/7 - 124*q**4/7 - 74*q**3 - 656*q**2/7 - 264*q/7 = 0.
-2, -1, 0, 66
Factor 3*c**2/4 + 3*c/2 - 105/4.
3*(c - 5)*(c + 7)/4
Factor -3*i**2 - 40998*i - 140069667.
-3*(i + 6833)**2
Suppose 4*x**4 + 356*x**3 + 5716*x**2 + 28044*x + 22680 = 0. Calculate x.
-70, -9, -1
Let -5*l**2 - 1735*l + 5250 = 0. What is l?
-350, 3
What is f in 3*f**5 - 366*f**4 + 14760*f**3 - 191634*f**2 - 206763*f = 0?
-1, 0, 41
Factor -i**4/5 + 6*i**3 + 36*i**2/5 - 158*i/5 + 93/5.
-(i - 31)*(i - 1)**2*(i + 3)/5
Suppose 6*g**5/5 + 333*g**4/5 + 5979*g**3/5 + 6213*g**2 - 68229*g/5 - 41154/5 = 0. Calculate g.
-19, -1/2, 2
Find r such that -9*r**4 - 876*r**3 + 588*r**2 = 0.
-98, 0, 2/3
What is k in -2*k**3/11 + 7350*k**2/11 - 9003750*k/11 + 3676531250/11 = 0?
1225
Factor 25*x**2 - 235*x - 150.
5*(x - 10)*(5*x + 3)
Factor 4*s**3 + 84*s**2 - 4*s - 84.
4*(s - 1)*(s + 1)*(s + 21)
Factor -4*r**2 + 2256*r - 318096.
-4*(r - 282)**2
Suppose 5*x**4/3 + 68*x**3/3 + 149*x**2/3 + 22*x = 0. Calculate x.
-11, -2, -3/5, 0
Solve 3*u**2 + 90*u - 4617 = 0 for u.
-57, 27
Factor -b**5/5 - 3*b**4/5 + 7*b**3/5 + 7*b**2/5 - 18*b/5 + 8/5.
-(b - 1)**3*(b + 2)*(b + 4)/5
Let -3*b**5 + 27*b**4/4 + 51*b**3/2 - 51*b**2/4 - 45*b/2 + 6 = 0. What is b?
-2, -1, 1/4, 1, 4
Factor -u**2/5 - 89*u/5 + 94.
-(u - 5)*(u + 94)/5
Solve 3*s**2/2 + 57*s/2 - 138 = 0.
-23, 4
Determine w, given that w**5/4 + w**4 + 3*w**3/4 - w**2 - w = 0.
-2, -1, 0, 1
Solve -c**2 - 87*c = 0 for c.
-87, 0
Factor 3*t**4/4 + 21*t**3/4 + 15*t**2/4 - 21*t/4 - 9/2.
3*(t - 1)*(t + 1)**2*(t + 6)/4
Solve 4*q**2 - 184*q - 588 = 0.
-3, 49
Factor -l**4 + 38*l**3 + 40*l**2 - 38*l - 39.
-(l - 39)*(l - 1)*(l + 1)**2
Factor 3*y**3 + 18*y**2 - 21*y.
3*y*(y - 1)*(y + 7)
Find o, given that 2*o**5/3 - 416*o**4 - 834*o**3 - 1252*o**2/3 = 0.
-1, 0, 626
Suppose -12*q**2/5 + 32*q/5 = 0. Calculate q.
0, 8/3
Let -15*m**5 - 54*m**4 + 99*m**3 - 30*m**2 = 0. Calculate m.
-5, 0, 2/5, 1
Factor -2*t**2/3 + 120*t - 5400.
-2*(t - 90)**2/3
Factor 2*u**4 - 96*u**3 + 1716*u**2 - 13552*u + 39930.
2*(u - 15)*(u - 11)**3
Factor 5*g**3 - 300*g**2 + 585*g - 290.
5*(g - 58)*(g - 1)**2
Factor 12*c**2 - 105*c - 27.
3*(c - 9)*(4*c + 1)
What is g in -24390*g**4 + 60955*g**3 - 36535*g**2 - 30*g = 0?
-2/2439, 0, 1, 3/2
Determine m so that -2*m**3 + 2450*m = 0.
-35, 0, 35
Factor 4*j**4 + 368*j**3 - 380*j**2 - 744*j.
4*j*(j - 2)*(j + 1)*(j + 93)
Factor 2*o**2/3 + 380*o/3.
2*o*(o + 190)/3
Factor 3*y**3/2 + 114*y**2 + 2166*y.
3*y*(y + 38)**2/2
Factor 4*n**3 - 72*n**2 - 7680*n + 188416.
4*(n - 32)**2*(n + 46)
Find v such that -v**5 - 4*v**4 - 2*v**3 + 4*v**2 + 3*v = 0.
-3, -1, 0, 1
Factor -x**4/5 + 108*x**3/5 - 3124*x**2/5 + 11232*x/5 - 10816/5.
-(x - 52)**2*(x - 2)**2/5
Let -12*f**4 - 306*f**3 - 6651*f**2/4 - 3099*f/4 - 189/2 = 0. What is f?
-18, -7, -1/4
Let -3*y**3 - 72*y**2 + 540*y = 0. Calculate y.
-30, 0, 6
Determine h so that 5*h**3 - 90*h**2 + 345*h + 440 = 0.
-1, 8, 11
Determine c, given that 45*c**3 + 580*c**2 + 1025*c + 490 = 0.
-98/9, -1
What is w in -3*w**3 - 2445*w**2 + 3*w + 2445 = 0?
-815, -1, 1
Determine n, given that n**4 + 112*n**3 + 2904*n**2 - 12992*n + 13456 = 0.
-58, 2
Suppose 3*p**2 - 7749*p - 7752 = 0. Calculate p.
-1, 2584
Factor 46*l**3 - 272*l**2 + 390*l + 36.
2*(l - 3)**2*(23*l + 2)
Suppose 5*y**5 + 560*y**4 + 15665*y**3 - 1670*y**2 - 45920*y + 31360 = 0. Calculate y.
-56, -2, 1
Factor -4*q**3/5 - 32*q**2/5 - 68*q/5 - 8.
-4*(q + 1)*(q + 2)*(q + 5)/5
Factor -33*n**2 - 59*n/7 + 6/7.
-(3*n + 1)*(77*n - 6)/7
Solve -2*o**5/3 - 64*o**4/9 - 226*o**3/9 - 304*o**2/9 - 40*o/3 = 0.
-5, -3, -2, -2/3, 0
Factor n**2/2 - 31*n/2.
n*(n - 31)/2
Factor q**4 - 15*q**3 + 63*q**2 - 49*q.
q*(q - 7)**2*(q - 1)
Factor h**3/4 + h**2 - 25*h/4 - 7.
(h - 4)*(h + 1)*(h + 7)/4
Suppose s**3/3 + 7*s**2/3 - 113*s/3 + 35 = 0. Calculate s.
-15, 1, 7
Factor -t**5 - 2*t**4 + 11*t**3 + 8*t**2 - 20*t - 16.
-(t - 2)**2*(t + 1)**2*(t + 4)
Factor r**2/11 + 1219*r/11 + 2434/11.
(r + 2)*(r + 1217)/11
Let -280*z**4 - 164*z**3 - 24*z**2 = 0. Calculate z.
-3/10, -2/7, 0
Find x such that 32*x**4 - 1012*x**3 - 2528*x**2 - 1892*x - 408 = 0.
-1, -3/8, 34
Let 5*b**3/2 + 260*b**2 + 6760*b = 0. What is b?
-52, 0
Let h**3/5 - 87*h**2/5 + 171*h/5 - 17 = 0. What is h?
1, 85
Factor 5*j**4 + 515*j**3 - 530*j**2 - 1040*j.
5*j*(j - 2)*(j + 1)*(j + 104)
Solve -5*b**4 + 25*b**3 - 40*b**2 + 20*b = 0 for b.
0, 1, 2
Solve -4*k**4 - 608*k**3 - 30600*k**2 - 499392*k + 530604 = 0.
-51, 1
Find s such that s**3/9 + s**2 + 14*s/9 = 0.
-7, -2, 0
Determine c, given that 11*c**4/8 - 25*c**3/8 + 3*c**2/4 = 0.
0, 3/11, 2
Determine b so that 2*b**4/7 + 4*b**3/7 - 62*b**2/7 - 184*b/7 - 120/7 = 0.
-5, -2, -1, 6
Factor -2*r**2/11 + 128*r - 22528.
-2*(r - 352)**2/11
Factor -2*n**4 - 86*n**3 - 672*n**2 + 5760*n.
-2*n*(n - 5)*(n + 24)**2
Determine h so that -h**3/7 - 5*h**2/7 + 4*h/7 + 20/7 = 0.
-5, -2, 2
Factor -4*z**2 + 3380*z.
-4*z*(z - 845)
Solve 2*r**5 + 20*r**4 - 6*r**3 - 56*r**2 + 40*r = 0.
-10, -2, 0, 1
Factor 4*k**4 + 44*k**3 + 128*k**2 + 112*k.
4*k*(k + 2)**2*(k + 7)
Factor 2*q**3/19 + 2*q**2/19 - 4*q/19.
2*q*(q - 1)*