 - 112/5.
-(o + 1)**3*(o + 4)*(o + 28)/5
Factor -25*q**3/4 + 345*q**2/4 - 66*q + 13.
-(q - 13)*(5*q - 2)**2/4
Determine m, given that -4*m**4 + 20*m**3 + 84*m**2 + 92*m + 32 = 0.
-1, 8
Find p such that -5*p**4 + 65*p**3 - 60*p**2 = 0.
0, 1, 12
Solve -14*u**5 - 550*u**4 + 1006*u**3 + 878*u**2 - 992*u - 328 = 0.
-41, -1, -2/7, 1, 2
Find k such that 2*k**5/5 - 76*k**4/5 + 214*k**3/5 - 28*k**2 = 0.
0, 1, 2, 35
Suppose 162*n**5 + 1138*n**4 + 2458*n**3 + 2166*n**2 + 700*n + 16 = 0. What is n?
-4, -1, -2/81
Factor d**4/7 - 2038*d**3/7 + 1034277*d**2/7 + 4161596*d/7 + 4169764/7.
(d - 1021)**2*(d + 2)**2/7
Solve -3*f**5 - 39*f**4/2 - 48*f**3 - 111*f**2/2 - 30*f - 6 = 0.
-2, -1, -1/2
Determine o so that o**2/5 - 6828*o/5 + 11655396/5 = 0.
3414
Find g, given that 2*g**5/9 - 44*g**3/9 + 16*g**2/3 + 10*g = 0.
-5, -1, 0, 3
Factor -q**2/6 - 35*q/6 - 143/3.
-(q + 13)*(q + 22)/6
Factor v**2/2 + 5*v + 8.
(v + 2)*(v + 8)/2
Suppose -m**5/5 - m**4 + 13*m**3/5 - 7*m**2/5 = 0. Calculate m.
-7, 0, 1
Determine o so that o**3/6 - 1063*o**2/6 + 94341*o/2 - 93987/2 = 0.
1, 531
Determine t, given that -t**2/2 - 403*t/8 + 101/8 = 0.
-101, 1/4
Factor -3*w**5/4 + 3*w**3/2 - 3*w/4.
-3*w*(w - 1)**2*(w + 1)**2/4
Factor 3*a**5 + 57*a**4 + 171*a**3 - 885*a**2 + 1014*a - 360.
3*(a - 1)**3*(a + 10)*(a + 12)
Factor m**2/5 - 23*m/5 - 24/5.
(m - 24)*(m + 1)/5
What is z in 35*z**2 - 200*z - 60 = 0?
-2/7, 6
Factor 2*c**3 - 13*c**2/2 - 13*c/2 + 2.
(c - 4)*(c + 1)*(4*c - 1)/2
Determine b, given that -4*b**5/7 - 12*b**4/7 - 8*b**3/7 + 8*b**2/7 + 12*b/7 + 4/7 = 0.
-1, 1
Determine c so that -c**4/4 - 25*c**3/4 - 38*c**2 - 32*c = 0.
-16, -8, -1, 0
Let 3*p**2 + 2178*p + 395307 = 0. Calculate p.
-363
Let -u**4/5 + 5*u**3 - 133*u**2/5 + 111*u/5 + 54 = 0. Calculate u.
-1, 3, 5, 18
Factor -l**5 - 17*l**4 - 30*l**3 + 2*l**2 + 31*l + 15.
-(l - 1)*(l + 1)**3*(l + 15)
Let 4*n**5/5 - 72*n**4/5 + 112*n**3/5 + 264*n**2/5 - 116*n/5 - 192/5 = 0. What is n?
-1, 1, 3, 16
Determine m, given that -m**2 - 14*m - 13 = 0.
-13, -1
Factor -5*c**2 + 20.
-5*(c - 2)*(c + 2)
What is a in 2*a**2/5 + 662*a/5 + 2616/5 = 0?
-327, -4
Factor -2*h**3/7 + 1752*h**2/7 - 376584*h/7 - 3125824/7.
-2*(h - 442)**2*(h + 8)/7
Determine h so that -2*h**5/5 - 12*h**4/5 - 28*h**3/5 - 32*h**2/5 - 18*h/5 - 4/5 = 0.
-2, -1
Determine d, given that 35*d**3 + 50*d**2 + 15*d = 0.
-1, -3/7, 0
Factor -20*z**4 + 135*z**3 + 35*z**2.
-5*z**2*(z - 7)*(4*z + 1)
Suppose -4*b**5 + 288*b**4 - 532*b**3 - 2040*b**2 + 5648*b - 3360 = 0. Calculate b.
-3, 1, 2, 70
Factor -4*u**5/5 + 8*u**4/5 + 72*u**3/5 + 128*u**2/5 + 92*u/5 + 24/5.
-4*(u - 6)*(u + 1)**4/5
Let 4*g**5 + 36*g**4 + 128*g**3 + 224*g**2 + 192*g + 64 = 0. Calculate g.
-2, -1
Determine h, given that 3*h**3 + 60*h**2 + 99*h - 162 = 0.
-18, -3, 1
Find z such that 3*z**5 - 33*z**4 + 81*z**3 + 33*z**2 - 84*z = 0.
-1, 0, 1, 4, 7
Factor 2*j**2 + 236*j + 6962.
2*(j + 59)**2
Factor 4*m**3 + 408*m**2 - 1680*m + 1696.
4*(m - 2)**2*(m + 106)
Factor -3*a**5 + 279*a**4 + 567*a**3 + 285*a**2.
-3*a**2*(a - 95)*(a + 1)**2
Find r, given that -40*r**4 - 145*r**3 - 60*r**2 + 45*r = 0.
-3, -1, 0, 3/8
What is f in 28*f**4 - 64688*f**3 + 83132*f**2 - 18472*f = 0?
0, 2/7, 1, 2309
Suppose -u**3 + 6*u**2 - 8*u = 0. Calculate u.
0, 2, 4
Factor -q**4/6 - 2*q**3/3 + 5*q**2/6.
-q**2*(q - 1)*(q + 5)/6
Factor -5*d**3 + 680*d**2 + 5*d - 680.
-5*(d - 136)*(d - 1)*(d + 1)
Find c such that 4*c**5 + 32*c**4 + 24*c**3 - 32*c**2 - 28*c = 0.
-7, -1, 0, 1
Factor m**5 - 275*m**4 + 273*m**3 + 275*m**2 - 274*m.
m*(m - 274)*(m - 1)**2*(m + 1)
Let -36*x**5 - 120*x**4 + 212*x**3 + 1048*x**2 + 1008*x + 288 = 0. Calculate x.
-3, -2, -2/3, 3
Factor 2*l**4 + 186*l**3 + 1560*l**2 + 4064*l + 2688.
2*(l + 1)*(l + 4)**2*(l + 84)
Factor 2*o**2/13 - 388*o/13.
2*o*(o - 194)/13
Factor -m**2/3 - 130*m/3 + 133.
-(m - 3)*(m + 133)/3
Suppose -2*o**3/15 + 32*o**2/5 - 384*o/5 = 0. What is o?
0, 24
Factor 4*l**5 - 32*l**4 + 80*l**3 - 64*l**2.
4*l**2*(l - 4)*(l - 2)**2
Factor -3*u**4/7 + 54*u**3/7 - 99*u**2/7 + 48*u/7.
-3*u*(u - 16)*(u - 1)**2/7
Factor 14*t**2/15 - 26492*t/15 + 7568/15.
2*(t - 1892)*(7*t - 2)/15
Find n such that 2*n**4/5 - 144*n**3/5 + 432*n**2 - 12096*n/5 + 23328/5 = 0.
6, 54
Factor k**4 - 3*k**3 - 32*k**2 - 60*k - 32.
(k - 8)*(k + 1)*(k + 2)**2
Find q such that -4*q**2 - 270*q - 896 = 0.
-64, -7/2
Let 2*p**3/9 - 920*p**2/9 + 35872*p/3 - 46208 = 0. Calculate p.
4, 228
What is q in -q**5 + 5*q**4 - 6*q**3 - 2*q**2 + 7*q - 3 = 0?
-1, 1, 3
Suppose -2*s**2/7 - 64*s/7 + 136/7 = 0. What is s?
-34, 2
Solve r**3/3 + 32*r**2/3 - 140*r/3 + 48 = 0 for r.
-36, 2
What is t in t**2/10 + 13*t/5 - 28/5 = 0?
-28, 2
Solve 44*i**2 - 46*i + 2 = 0 for i.
1/22, 1
Factor -25*g**3 + 665*g**2 - 980*g - 500.
-5*(g - 25)*(g - 2)*(5*g + 2)
Solve -q**4/2 - 2*q**3 + 5*q**2/2 + 18*q + 18 = 0 for q.
-3, -2, 3
Factor q**4/2 + 4*q**3 + 13*q**2/2 + 3*q.
q*(q + 1)**2*(q + 6)/2
Find n, given that 12*n**5/5 + 26*n**4 + 212*n**3/5 - 24*n**2/5 - 224*n/5 - 106/5 = 0.
-53/6, -1, 1
Factor -3*g**3/4 + 495*g**2/2 + 993*g/4.
-3*g*(g - 331)*(g + 1)/4
Find t, given that -t**3 + 30*t**2 - 57*t + 28 = 0.
1, 28
Solve -3*o**4 - 84*o**3 - 498*o**2 + 1260*o - 675 = 0.
-15, 1
Factor 95*w**3 - 330*w**2 - 200*w.
5*w*(w - 4)*(19*w + 10)
Factor m**3/6 + 8*m**2/3 + 35*m/6 - 26/3.
(m - 1)*(m + 4)*(m + 13)/6
Factor 3*h**4/8 - 15*h**3/2 - 21*h**2/2 + 588*h.
3*h*(h - 14)**2*(h + 8)/8
Factor 3*w**4 - 102*w**2 + 288*w - 189.
3*(w - 3)**2*(w - 1)*(w + 7)
Factor 3*p**4/7 - 6*p**3/7 - 9*p**2/7 + 24*p/7 - 12/7.
3*(p - 2)*(p - 1)**2*(p + 2)/7
Let -5*p**5 - 65*p**4 - 170*p**3 + 240*p**2 = 0. Calculate p.
-8, -6, 0, 1
Find d such that -d**5 + 26*d**4 - 226*d**3 + 624*d**2 + 675*d - 3402 = 0.
-2, 3, 7, 9
Factor x**2/5 - 174*x/5 + 7569/5.
(x - 87)**2/5
Let -l**4/3 - 6*l**3 - 80*l**2/3 + 6*l + 27 = 0. Calculate l.
-9, -1, 1
Let 5*g**5 + 865*g**4 - 895*g**3 - 4365*g**2 - 2610*g = 0. Calculate g.
-174, -1, 0, 3
Factor -5*p**4 - 1130*p**3 - 1125*p**2.
-5*p**2*(p + 1)*(p + 225)
Find j such that j**5 + 9*j**4/2 - 53*j**3/2 + 12*j**2 = 0.
-8, 0, 1/2, 3
Solve 15*a**2 + 325*a + 210 = 0 for a.
-21, -2/3
Factor 3*i**2 - 19092*i + 30375372.
3*(i - 3182)**2
Factor 7*k**4 - 152*k**3 + 691*k**2 - 798*k - 288.
(k - 16)*(k - 3)**2*(7*k + 2)
Factor -10*b**3 - 61*b**2/3 - 32*b/3 - 1/3.
-(b + 1)**2*(30*b + 1)/3
Determine k, given that 2*k**4 - 74*k**3 + 704*k**2 - 1992*k + 1728 = 0.
2, 9, 24
Factor 3*p**2/2 + 204*p + 6936.
3*(p + 68)**2/2
Let -5*b**5/4 - 95*b**4 - 3415*b**3/2 + 3705*b**2 - 7605*b/4 = 0. Calculate b.
-39, 0, 1
Let -y**2 + 16*y - 48 = 0. Calculate y.
4, 12
Let 2*v**4/7 + 4*v**3/7 - 6*v**2/7 - 8*v/7 + 8/7 = 0. Calculate v.
-2, 1
Determine z so that 17*z**3 - 16*z**2 - 35*z - 2 = 0.
-1, -1/17, 2
Factor 7*v**2/9 + 26147*v/9 + 830.
(v + 3735)*(7*v + 2)/9
Factor -z**2 - 4*z - 4.
-(z + 2)**2
Let s**5/2 + 17*s**4/2 - 81*s**3/2 + 67*s**2/2 + 40*s - 42 = 0. What is s?
-21, -1, 1, 2
Solve 5*k**4/4 - 10*k**3 + 105*k**2/4 - 45*k/2 = 0 for k.
0, 2, 3
Factor -3*h**3/5 - 93*h**2/5 + 156*h - 684/5.
-3*(h - 6)*(h - 1)*(h + 38)/5
Factor -5*v**3 - 5*v**2 + 20*v + 20.
-5*(v - 2)*(v + 1)*(v + 2)
What is l in 315*l**4 - 29301*l**3 + 2698*l**2/5 + 8548*l/5 + 744/5 = 0?
-2/15, 2/7, 93
Let 2*a**3 + 288*a**2 + 10650*a + 20164 = 0. What is a?
-71, -2
Find k, given that k**4 + 16*k**3 - 32*k**2 - 768*k + 2304 = 0.
-12, 4
Let 3*j**2 - 426*j - 2664 = 0. What is j?
-6, 148
Suppose 4*w**2 - 76*w + 240 = 0. What is w?
4, 15
Find v, given that 4*v**2 - 68*v + 208 = 0.
4, 13
Find s such that 4*s**2 + 168*s = 0.
-42, 0
Factor 4*r**4 - 56*r**3 + 132*r**2 + 16*r - 176.
4*(r - 11)*(r - 2)**2*(r + 1)
Factor v**4/4 + v**3 - 3*v**2/2 - v + 5/4.
(v - 1)**2*(v + 1)*(v + 5)/4
Let -2*n**5/3 + 14*n**4/3 - 28*n**3/3 + 16*n**2/3 = 0. What is n?
0, 1, 2, 4
Factor 5*t**2 - 75*t.
5*t*(t - 15)
Factor -21*q**3/4 + 13*q**2 - 39*q/4 + 2.
-(q - 1)*(3*q - 1)*(7*q - 8)/4
Let 2*z**4 + 152*z**3 + 3078*z**2 + 3888*z - 116640 = 0. Calculate z.
-36, -9, 5
What is d in -d**2 - 17*d - 16 = 0?
-16, -1
Let -d**3/7 + 160*d**2/7 - 7125*d/7 + 56250/7 = 0. What is d?
10, 75
Solve -3*b**2 - 210*b + 213 = 0.
-71, 1
Suppose 45*m**4 - 129*m**3 - 63*m**2 + 129*m + 18 = 0. Calculate m.
-1, -2/15, 1, 3
Solve 2*f**3/3 - 2*f**2 - 20*f/3 + 16 = 0 for f.
-3, 2, 4
Factor -3*j**2 - 3963*j + 3966.
-3*(j 