 1, 2
Factor -d**2/2 + 38*d - 144.
-(d - 72)*(d - 4)/2
Find s, given that 5*s**2 - 45*s + 40 = 0.
1, 8
Suppose 5*v**2 + 55*v + 50 = 0. What is v?
-10, -1
Find b such that -b**2/8 - 5*b/4 + 3 = 0.
-12, 2
Determine q so that -2*q**5/23 - 2*q**4/23 + 6*q**3/23 + 10*q**2/23 + 4*q/23 = 0.
-1, 0, 2
Find d, given that 2*d**3/19 - 670*d**2/19 - 672*d/19 = 0.
-1, 0, 336
What is j in -j**2/7 - 31*j + 884/7 = 0?
-221, 4
Let -5*y**2 + 890*y - 39605 = 0. Calculate y.
89
Solve -8*g**5 + 10020*g**4 - 3140016*g**3 + 1567504*g**2 = 0 for g.
0, 1/2, 626
Suppose 26*r**2 - 106*r + 84 = 0. What is r?
14/13, 3
Factor -45*w**3/4 - 181*w**2/2 + 389*w/4 + 9/2.
-(w - 1)*(w + 9)*(45*w + 2)/4
Suppose 5*h**2 + 295*h = 0. Calculate h.
-59, 0
Determine k, given that -2*k**2 + 20*k + 48 = 0.
-2, 12
Factor 4*l**3 - 2648*l**2 + 5284*l - 2640.
4*(l - 660)*(l - 1)**2
Factor 64*v**2 - 152*v + 34.
2*(4*v - 1)*(8*v - 17)
Factor -j**3/4 - 11*j**2/4 - 6*j + 9.
-(j - 1)*(j + 6)**2/4
Find m such that -68*m**4 - 196*m**3 + 6824*m**2 - 7328*m + 768 = 0.
-12, 2/17, 1, 8
Factor 5*i**2 + 140*i + 900.
5*(i + 10)*(i + 18)
Factor 3*r**3 + 99*r**2 + 765*r - 867.
3*(r - 1)*(r + 17)**2
Determine l, given that 2116*l**2 - 18216*l + 39204 = 0.
99/23
Factor 6*r**2 - 105*r - 54.
3*(r - 18)*(2*r + 1)
Determine i so that 30*i**2 - 452*i + 30 = 0.
1/15, 15
Factor 3*t**3 - 432*t**2 + 15552*t.
3*t*(t - 72)**2
Factor -2*y**2/7 + 2130*y/7 + 4268/7.
-2*(y - 1067)*(y + 2)/7
Determine w so that -4*w**2/5 - 308*w/5 - 5304/5 = 0.
-51, -26
Solve -5*b**3 + 475*b**2 - 11515*b + 11045 = 0 for b.
1, 47
Solve -26*z**3 - 362*z**2 - 1416*z - 1080 = 0 for z.
-90/13, -6, -1
Determine n, given that 10*n**3 - 1095*n**2 + 2685*n - 1070 = 0.
1/2, 2, 107
Let 2*v**3/11 - 104*v**2/11 + 392*v/11 - 384/11 = 0. Calculate v.
2, 48
Determine m so that 3*m**2 + 426*m + 15123 = 0.
-71
Factor -l**5/4 - 13*l**4 + 31*l**3/2 + 122*l**2 + 587*l/4 + 53.
-(l - 4)*(l + 1)**3*(l + 53)/4
Let 3*y**5/5 + 144*y**4/5 + 1959*y**3/5 + 4854*y**2/5 - 11484*y/5 - 2904 = 0. Calculate y.
-22, -5, -1, 2
Factor 5*p**2 - 8860*p + 3924980.
5*(p - 886)**2
Suppose 8*o**5 + 46*o**4 + 44*o**3 - 62*o**2 - 52*o + 16 = 0. What is o?
-4, -2, -1, 1/4, 1
Factor w**2 - 112*w.
w*(w - 112)
Factor 2*s**2 - 124*s + 464.
2*(s - 58)*(s - 4)
Suppose t**5 - 4*t**4 + t**3 + 10*t**2 - 4*t - 8 = 0. What is t?
-1, 2
Find k, given that -2*k**2 + 2*k + 4 = 0.
-1, 2
Determine z so that -3*z**5/7 - 15*z**4/7 + 114*z**3/7 + 18*z**2/7 - 351*z/7 - 243/7 = 0.
-9, -1, 3
Factor -4*f**3 - 32*f**2 - 36*f + 72.
-4*(f - 1)*(f + 3)*(f + 6)
Determine h, given that h**2 - 13*h - 14 = 0.
-1, 14
Solve 4*o**2 + 34704*o + 75272976 = 0 for o.
-4338
Factor 15*r**3 + 54*r**2 - 69*r.
3*r*(r - 1)*(5*r + 23)
Factor -5*z**3 - 35*z**2 + 70*z + 240.
-5*(z - 3)*(z + 2)*(z + 8)
Factor 2*j**3/5 - 54*j**2/5 + 44*j.
2*j*(j - 22)*(j - 5)/5
Suppose -21*f**5/5 + 251*f**4/5 + 14*f**3/5 - 24*f**2/5 = 0. Calculate f.
-1/3, 0, 2/7, 12
Factor 5*s**3 + 30*s**2 - 20*s - 120.
5*(s - 2)*(s + 2)*(s + 6)
Factor -z**2/7 + 60*z/7.
-z*(z - 60)/7
Determine k so that -3*k**4 + 69*k**3 - 531*k**2 + 1635*k - 1650 = 0.
2, 5, 11
Factor -3*n**3 + 27*n**2/5 + 6*n/5.
-3*n*(n - 2)*(5*n + 1)/5
Let 3*r**3/5 - 36*r/5 - 48/5 = 0. Calculate r.
-2, 4
Factor -2*w**5/17 + 82*w**4/17 + 348*w**3/17 + 532*w**2/17 + 358*w/17 + 90/17.
-2*(w - 45)*(w + 1)**4/17
Solve -8*v**5/9 - 1114*v**4/9 - 41576*v**3/9 - 64436*v**2/3 - 17152*v + 26934 = 0 for v.
-67, -3, 3/4
Factor 2*o**4 - 6*o**3 - 4*o**2 + 24*o - 16.
2*(o - 2)**2*(o - 1)*(o + 2)
Find o such that 3*o**3 - 2040*o**2 - 6141*o - 4098 = 0.
-2, -1, 683
Determine c so that -8*c**4 + 330*c**3 - 2898*c**2 - 10912*c + 2904 = 0.
-3, 1/4, 22
Factor -3*a**2/5 + 66*a/5 + 69/5.
-3*(a - 23)*(a + 1)/5
What is u in u**4 + 67*u**3 + 485*u**2 + 773*u + 354 = 0?
-59, -6, -1
Solve -d**2/12 - 19*d/12 - 17/6 = 0.
-17, -2
Factor 4*h**3/5 + 36*h**2/5 - 4*h/5 - 36/5.
4*(h - 1)*(h + 1)*(h + 9)/5
Factor -15*o**2 - 5*o.
-5*o*(3*o + 1)
Factor s**3 - 3*s**2 - s + 3.
(s - 3)*(s - 1)*(s + 1)
Determine r, given that 2*r**5/11 - 46*r**4/11 + 4*r**3 = 0.
0, 1, 22
What is j in -3*j**2/5 + 207*j/5 - 204/5 = 0?
1, 68
Factor j**4/6 + 13*j**3/6 + 17*j**2/2 + 35*j/6 - 50/3.
(j - 1)*(j + 4)*(j + 5)**2/6
Factor 4*f**2/7 - 720*f/7 - 4464/7.
4*(f - 186)*(f + 6)/7
Find u, given that -4*u**2 + 660*u - 656 = 0.
1, 164
Factor z**3/10 + 3*z**2/2 + 28*z/5.
z*(z + 7)*(z + 8)/10
Factor -j**2/2 + 4*j + 9/2.
-(j - 9)*(j + 1)/2
Find g such that g**2/3 + 266*g/3 + 17689/3 = 0.
-133
Suppose 34*o**3 - 73*o**2 - 81*o - 18 = 0. Calculate o.
-1/2, -6/17, 3
Factor s**2 - 13*s/3 + 4/3.
(s - 4)*(3*s - 1)/3
Let 3*u**2/2 - 21*u + 36 = 0. Calculate u.
2, 12
Suppose -2*n**2/5 + 144*n/5 - 142/5 = 0. What is n?
1, 71
Suppose 3*d**3/2 - 639*d**2 - 6*d + 2556 = 0. Calculate d.
-2, 2, 426
Factor q**3 + 49*q**2 + 624*q + 576.
(q + 1)*(q + 24)**2
Let 507*k**5 + 468*k**4 - 399*k**3 - 468*k**2 - 108*k = 0. Calculate k.
-1, -6/13, 0, 1
Suppose -2*l**4/5 + 172*l**3/5 - 666*l**2 - 3240*l = 0. What is l?
-4, 0, 45
Suppose 4*t**4 - 88*t**3 + 240*t**2 - 232*t + 76 = 0. Calculate t.
1, 19
Factor 5*c**4 + 3300*c**3 + 3290*c**2 - 3300*c - 3295.
5*(c - 1)*(c + 1)**2*(c + 659)
Suppose b**5/2 + 41*b**4/2 + 113*b**3/2 - 41*b**2/2 - 57*b = 0. What is b?
-38, -3, -1, 0, 1
Factor -2*p**2 - 1108*p - 153458.
-2*(p + 277)**2
Factor -3*z**3/4 - 15*z**2/4 - 21*z/4 - 9/4.
-3*(z + 1)**2*(z + 3)/4
Factor -k**2/2 + 9909*k - 98188281/2.
-(k - 9909)**2/2
Let -3*c**2 - 111*c + 114 = 0. Calculate c.
-38, 1
Factor -a**3/3 - 160*a**2/3 - 7252*a/3 - 21904.
-(a + 12)*(a + 74)**2/3
Factor -3*b**4 + 39*b**3 - 141*b**2 + 177*b - 72.
-3*(b - 8)*(b - 3)*(b - 1)**2
What is b in 10*b**5/9 - 56*b**4/9 + 106*b**3/9 - 68*b**2/9 - 8*b/9 + 16/9 = 0?
-2/5, 1, 2
Determine z, given that -z**3/4 + 7*z**2/2 - 49*z/4 = 0.
0, 7
What is o in 60*o**3 - 325*o**2 + 315*o + 100 = 0?
-1/4, 5/3, 4
Factor -w**2/3 - 143*w/3.
-w*(w + 143)/3
Let -4*r**4 - 33*r**3 = 0. Calculate r.
-33/4, 0
Factor o**4 - 616*o**3 + 92998*o**2 + 574728*o + 870489.
(o - 311)**2*(o + 3)**2
Factor 5*m**3 + 180*m**2 - 780*m + 800.
5*(m - 2)**2*(m + 40)
Factor 2*m**5/9 + 596*m**4/9 + 58802*m**3/9 + 1880600*m**2/9 - 3940000*m/9 + 2000000/9.
2*(m - 1)**2*(m + 100)**3/9
Solve -c**4 - 6*c**3 - 9*c**2 - 4*c = 0 for c.
-4, -1, 0
Let -a**4/2 - 11*a**3 - 24*a**2 + 83*a - 95/2 = 0. What is a?
-19, -5, 1
Determine d so that 250*d**4 + 450*d**3 - 450*d**2 - 226*d - 24 = 0.
-12/5, -1/5, 1
What is b in 3*b**2 - 408*b + 13872 = 0?
68
Factor 3*i**2 + 12*i.
3*i*(i + 4)
Factor g**2/6 - 3*g + 16/3.
(g - 16)*(g - 2)/6
Find w such that -3*w**5 + 12*w**4 + 3*w**3 - 12*w**2 = 0.
-1, 0, 1, 4
Solve 2*f**5/7 + 18*f**4/7 - 208*f**2/7 + 96*f/7 + 288/7 = 0.
-6, -1, 2
Factor -3*r**4 + 6*r**3 + 12*r**2 - 6*r - 9.
-3*(r - 3)*(r - 1)*(r + 1)**2
Suppose 2*i**2 - 936*i + 934 = 0. Calculate i.
1, 467
Factor 35*u**2 + 310*u - 45.
5*(u + 9)*(7*u - 1)
What is f in -2*f**2/17 + 222*f/17 + 452/17 = 0?
-2, 113
Solve -s**2/4 + 1663*s - 2765569 = 0.
3326
Factor -4*p**2 + 408*p - 10404.
-4*(p - 51)**2
Factor 4*p**3/5 - 84*p**2/5 + 396*p/5 + 484/5.
4*(p - 11)**2*(p + 1)/5
Factor 2*k**3/15 - 18*k**2/5 - 86*k/5 + 62/3.
2*(k - 31)*(k - 1)*(k + 5)/15
Factor 6*s**4 - 315*s**3 - 159*s**2.
3*s**2*(s - 53)*(2*s + 1)
Let 46*i**3/7 + 806*i**2/7 + 1144*i/7 + 384/7 = 0. Calculate i.
-16, -1, -12/23
Factor -g**2 + 238*g + 480.
-(g - 240)*(g + 2)
Let 2*a**3/17 - 12*a**2/17 - 14*a/17 = 0. Calculate a.
-1, 0, 7
Factor -i**2/2 - i/2.
-i*(i + 1)/2
Factor 2*f**2 - 1716*f + 368082.
2*(f - 429)**2
Suppose v**2/5 - 27*v/5 + 72/5 = 0. What is v?
3, 24
Factor -244*y**2 - 240*y + 4.
-4*(y + 1)*(61*y - 1)
Find g, given that 4*g**2 - 1368*g + 116964 = 0.
171
What is d in -d**2/6 + 101*d/6 + 17 = 0?
-1, 102
Find m, given that -5*m**3 - 1180*m**2 - 69620*m = 0.
-118, 0
Factor a**3 - 21*a**2 + 135*a - 243.
(a - 9)**2*(a - 3)
Factor h**3 - 228*h**2 + 453*h - 226.
(h - 226)*(h - 1)**2
Factor -g**4 - 28*g**3 - 270*g**2 - 972*g - 729.
-(g + 1)*(g + 9)**3
Determine k, given that -4*k**2 - 1204*k = 0.
-301, 0
Suppose k**5 + 13*k**4 + 19*k**3 - 145*k**2 + 176*k - 64 = 0. Calculate k.
-8, 1
Factor -a**3/6 + 2*a**2/3 + 25*a/6 - 14/3.
-(a - 7)*(a - 1)*(a + 4)/6
Factor 3*b**4/5 + 48*b**3/5 + 264*b**2/5 + 576*b/5 + 432/5.
3*(b + 2)**2*(b + 6)**2/