17 = 0.
-8, -1, 0, 2/5
Solve -2*r**4/7 + 146*r**3/7 + 776*r**2/7 + 328*r/7 - 1248/7 = 0 for r.
-4, -2, 1, 78
What is c in -2*c**3/3 + 26*c**2/3 - 20*c = 0?
0, 3, 10
Let w**2/2 + 73*w + 5329/2 = 0. What is w?
-73
Solve -2*g**2 + 60*g - 112 = 0 for g.
2, 28
Factor -r**3 + 209*r**2 + 421*r + 211.
-(r - 211)*(r + 1)**2
Factor -z**2 - 22*z + 23.
-(z - 1)*(z + 23)
Factor 5*m**2 - 5*m - 60.
5*(m - 4)*(m + 3)
Suppose 4*y**3 - 4*y**2 - 36*y + 36 = 0. What is y?
-3, 1, 3
Find c, given that 4*c**4 + 20*c**3 - 40*c**2 - 80*c + 96 = 0.
-6, -2, 1, 2
Determine k so that -k**5/2 - 23*k**4/6 - 23*k**3/3 - 5*k**2 + k/6 + 5/6 = 0.
-5, -1, 1/3
Solve -j**5/4 + 3*j**4 - 17*j**3/4 - 45*j**2/2 = 0.
-2, 0, 5, 9
Factor n**3/6 - 37*n**2/6 + 80*n/3.
n*(n - 32)*(n - 5)/6
Suppose b**3/3 + 26*b**2 + 480*b - 3200/3 = 0. Calculate b.
-40, 2
Suppose -a**4/6 + a**3 - 2*a**2 + 5*a/3 - 1/2 = 0. What is a?
1, 3
Determine p so that -p**5/6 - 2*p**4 + p**3/2 + 19*p**2/3 + 4*p = 0.
-12, -1, 0, 2
Let -2*s**3 + 18*s**2 + 24*s - 40 = 0. Calculate s.
-2, 1, 10
Factor 5*a**2 + 2230*a + 248645.
5*(a + 223)**2
Factor 10*n**2 + 545*n - 275.
5*(n + 55)*(2*n - 1)
Let 2*f**3/9 - 856*f**2/9 + 93280*f/9 - 359552/9 = 0. What is f?
4, 212
Factor 5*p**2/3 - 15670*p/3.
5*p*(p - 3134)/3
Factor 4*v**5 - 488*v**4 - 2000*v**3 - 2016*v**2.
4*v**2*(v - 126)*(v + 2)**2
Factor 2*b**5 - 2*b**4.
2*b**4*(b - 1)
Factor 2*m**2/7 + 34*m/7 - 48.
2*(m - 7)*(m + 24)/7
Solve -k**4 - k**3 + 10*k**2 - 8*k = 0.
-4, 0, 1, 2
Let -3*h**4/4 - 3*h**3/2 + 15*h**2/4 + 9*h/2 = 0. Calculate h.
-3, -1, 0, 2
Determine f, given that f**2 + 36*f + 35 = 0.
-35, -1
Factor -2*v**2 - 2582*v.
-2*v*(v + 1291)
Factor -2*u**3 - 468*u**2 - 36504*u - 949104.
-2*(u + 78)**3
Suppose 10*f**5 + 41*f**4 + 56*f**3 + 31*f**2 + 6*f = 0. What is f?
-2, -1, -3/5, -1/2, 0
Determine j, given that -2*j**2/7 + 1248*j/7 - 194688/7 = 0.
312
Factor 2*n**3/5 - 118*n**2/5 + 296*n + 320.
2*(n - 40)*(n - 20)*(n + 1)/5
Suppose 2*i**3/5 - 2*i**2 - 114*i/5 + 378/5 = 0. Calculate i.
-7, 3, 9
Determine k, given that 57963*k**2 + 12510*k + 675 = 0.
-15/139
Let 2*q**2/5 - 112*q/5 - 114/5 = 0. Calculate q.
-1, 57
Find v such that 76*v**4 - 308*v**3 + 320*v**2 - 16*v = 0.
0, 1/19, 2
Factor 147*m**5 + 1554*m**4 + 4527*m**3 + 2220*m**2 + 300*m.
3*m*(m + 5)**2*(7*m + 2)**2
Factor -x**2/3 + 4*x/3 - 1.
-(x - 3)*(x - 1)/3
Solve -2*u**2 - 28*u - 66 = 0 for u.
-11, -3
Factor -p**4 + 18*p**3 + 19*p**2.
-p**2*(p - 19)*(p + 1)
Determine f so that 2*f**4/5 + 2*f**3/5 - 4*f**2 + 16*f/5 = 0.
-4, 0, 1, 2
Factor -x**2 + 185*x - 1074.
-(x - 179)*(x - 6)
Factor 6*z**4 + 4*z**3 - 42*z**2 - 24*z + 56.
2*(z - 1)*(z + 2)**2*(3*z - 7)
Factor f**4/10 - f**3 + 5*f**2/2.
f**2*(f - 5)**2/10
Solve 3*l**2 - 48*l + 192 = 0 for l.
8
Find x, given that x**3/5 + 9*x**2/5 + 3*x - 5 = 0.
-5, 1
Factor -3*g**3/2 - 21*g**2/2 - 33*g/2 - 15/2.
-3*(g + 1)**2*(g + 5)/2
Factor 2*h**5/7 + 26*h**4 + 4230*h**3/7 + 4050*h**2/7.
2*h**2*(h + 1)*(h + 45)**2/7
What is b in -3*b**5 + 9*b**4 - 6*b**3 = 0?
0, 1, 2
Factor 2*k**2 - 2632*k + 865928.
2*(k - 658)**2
Factor -a**4/4 - 34*a**3 - 4485*a**2/4 + 4761*a/2.
-a*(a - 2)*(a + 69)**2/4
Solve -2*b**4/9 - 574*b**3/3 - 369794*b**2/9 + 124990*b/3 + 743044/9 = 0 for b.
-431, -1, 2
Factor i**5/4 - 3*i**4/2 + 8*i**2.
i**2*(i - 4)**2*(i + 2)/4
Factor s**2 - 2615*s + 2614.
(s - 2614)*(s - 1)
Factor -4*b**2 - 23560*b - 34692100.
-4*(b + 2945)**2
Factor -l**4 - 3*l**3 + 97*l**2 + 99*l.
-l*(l - 9)*(l + 1)*(l + 11)
Factor 3*u**4 + u**3 - 23*u**2/3 + 13*u/3 - 2/3.
(u - 1)*(u + 2)*(3*u - 1)**2/3
Let a**5 - 29*a**4 + 28*a**3 = 0. What is a?
0, 1, 28
Factor -189*t**3/8 - 135*t**2/4 - 12*t.
-3*t*(3*t + 2)*(21*t + 16)/8
Factor -6*u**2/11 - 828*u/11 - 28566/11.
-6*(u + 69)**2/11
Factor -2*i**2/7 + 10*i/7.
-2*i*(i - 5)/7
Find o such that 14*o**3/11 + 290*o**2/11 + 672*o/11 - 216/11 = 0.
-18, -3, 2/7
Factor -4*t**5 + 56*t**4 - 72*t**3 - 592*t**2 - 724*t - 264.
-4*(t - 11)*(t - 6)*(t + 1)**3
Solve -k**3 - 43*k**2 + 136*k - 92 = 0.
-46, 1, 2
What is j in 2*j**3 + 70*j**2 + 132*j = 0?
-33, -2, 0
Let 4*s**3 - 68*s**2 - 72*s = 0. What is s?
-1, 0, 18
Factor -2*v**4 + 138*v**3 + 440*v**2 - 576*v.
-2*v*(v - 72)*(v - 1)*(v + 4)
Factor 21*t**4 - 141*t**3 - 210*t**2 - 48*t.
3*t*(t - 8)*(t + 1)*(7*t + 2)
Factor -g**4 + 23*g**3 - 180*g**2 + 592*g - 704.
-(g - 11)*(g - 4)**3
Suppose 2*i**3/15 - 488*i**2/15 - 494*i/15 + 196/3 = 0. Calculate i.
-2, 1, 245
Solve -m**4/6 + m**3/2 + 8*m**2/3 + 2*m = 0.
-2, -1, 0, 6
Determine q, given that 2*q**5 + 94*q**4/7 - 102*q**3 - 82*q**2 + 220*q/7 = 0.
-11, -1, 0, 2/7, 5
Suppose 15*h**3 - 8796*h**2 + 3516*h = 0. Calculate h.
0, 2/5, 586
Let -2*m**2/3 + 190*m/3 - 1300 = 0. Calculate m.
30, 65
What is y in -3*y**3 + 9*y**2 + 84*y = 0?
-4, 0, 7
Let -5*x**3 + 20*x**2 - 15*x = 0. Calculate x.
0, 1, 3
Factor -2*h**5 + 360*h**4 + 726*h**3 + 364*h**2.
-2*h**2*(h - 182)*(h + 1)**2
Let 5*j**3 - 170*j**2 + 1355*j - 2070 = 0. What is j?
2, 9, 23
Determine c so that -3*c**5/5 + 332*c**4/5 - 3559*c**3/5 + 9246*c**2/5 + 6012*c/5 - 7128/5 = 0.
-1, 2/3, 6, 99
Find r, given that -r**5 + 5*r**4 + r**3 - 41*r**2 + 72*r - 36 = 0.
-3, 1, 2, 3
Factor -3*w**2/7 + 192/7.
-3*(w - 8)*(w + 8)/7
Let -t**5 - 13*t**4/4 + t**3/4 + 13*t**2/4 + 3*t/4 = 0. Calculate t.
-3, -1, -1/4, 0, 1
Factor 3*r**2 + 2910*r + 705675.
3*(r + 485)**2
Factor -2*x**2 + 1920*x + 1922.
-2*(x - 961)*(x + 1)
Find k such that 25*k**4 - 110*k**3 - 35*k**2 + 480*k - 180 = 0.
-2, 2/5, 3
Let -c**3/10 + 13*c**2/5 + 28*c/5 = 0. Calculate c.
-2, 0, 28
Factor -2*r**2/7 + 580*r/7 - 42050/7.
-2*(r - 145)**2/7
Determine r, given that 4*r**3/7 + 2028*r**2/7 + 258060*r/7 + 256036/7 = 0.
-253, -1
Factor -x**3/7 + 13*x**2 - 2115*x/7 + 2025/7.
-(x - 45)**2*(x - 1)/7
Solve a**3/3 + 903*a**2 + 815409*a + 245438109 = 0 for a.
-903
Let -35*h**5 - 150*h**4 - 5*h**3 + 150*h**2 + 40*h = 0. Calculate h.
-4, -1, -2/7, 0, 1
Suppose -9*n**3/5 - 66*n**2/5 + 129*n/5 - 54/5 = 0. Calculate n.
-9, 2/3, 1
Let -4*b**2 + 88*b + 6912 = 0. What is b?
-32, 54
Factor -2*i**3/7 + 40*i**2/7 - 102*i/7.
-2*i*(i - 17)*(i - 3)/7
Factor -5*r**3 + 135*r**2 - 1200*r + 3500.
-5*(r - 10)**2*(r - 7)
Factor 3*o**2/2 - 24*o - 483/2.
3*(o - 23)*(o + 7)/2
Find a, given that 8*a**2 + 8276*a + 12396 = 0.
-1033, -3/2
Determine s, given that -6*s**2 + 200*s + 424 = 0.
-2, 106/3
Determine w, given that -w**2 - 84*w - 164 = 0.
-82, -2
Let -4*s**5/11 + 426*s**4/11 - 630*s**3/11 - 2*s**2/11 + 210*s/11 = 0. Calculate s.
-1/2, 0, 1, 105
Factor 9*d**3/4 - 978*d**2 + 426405*d/4 - 141267/2.
3*(d - 217)**2*(3*d - 2)/4
Factor 3*r**2 - 7*r/3 - 2/3.
(r - 1)*(9*r + 2)/3
Suppose -65*m**2 + 140*m - 20 = 0. What is m?
2/13, 2
Let 2*f**3/9 + 160*f**2/9 - 326*f/9 + 164/9 = 0. Calculate f.
-82, 1
Solve -x**3/8 + 327*x**2/8 - 26895*x/8 + 26569/8 = 0 for x.
1, 163
Find m, given that -98*m**4 + 5726*m**3 - 2388*m**2 - 2776*m - 464 = 0.
-2/7, 1, 58
Solve 2*j**3 - 126*j**2 - 140*j + 768 = 0.
-3, 2, 64
Factor -10*q**4 - 76*q**3 - 88*q**2 + 48*q.
-2*q*(q + 2)*(q + 6)*(5*q - 2)
Factor 2*r**3 + 550*r**2/7 + 156*r/7.
2*r*(r + 39)*(7*r + 2)/7
Determine q so that 4*q**4 + 140*q**3 + 384*q**2 - 16*q - 512 = 0.
-32, -2, 1
Factor -5*n**2 + 160*n - 875.
-5*(n - 25)*(n - 7)
Factor 5*m**3 + 6735*m**2 + 2264640*m - 2271380.
5*(m - 1)*(m + 674)**2
What is o in -2*o**2 + 260*o + 1072 = 0?
-4, 134
Suppose -3*c**3 - 15456*c**2 - 19891863*c + 39845574 = 0. Calculate c.
-2577, 2
What is n in 32*n**4/3 - 368*n**3 + 182*n**2 - 68*n/3 = 0?
0, 1/4, 34
Suppose 3*t**5 + 12*t**4 - 12*t**3 - 66*t**2 + 9*t + 54 = 0. What is t?
-3, -1, 1, 2
Factor 3*u**3/5 - 1806*u**2/5 + 3603*u/5 - 360.
3*(u - 600)*(u - 1)**2/5
Determine v so that -2*v**3 + 2754*v**2 - 1264086*v + 193405158 = 0.
459
Factor 2*d**2/3 + 296*d/3.
2*d*(d + 148)/3
Determine u, given that -2*u**5/7 - 158*u**4/7 - 3492*u**3/7 - 14732*u**2/7 - 19610*u/7 - 8214/7 = 0.
-37, -3, -1
Factor 3*v**4 + 6*v**3 - 39*v**2 + 30*v.
3*v*(v - 2)*(v - 1)*(v + 5)
Factor -2*k**2 + 24*k - 40.
-2*(k - 10)*(k - 2)
Find h such that -2*h**4 + 100*h**3 - 98*h**2 = 0.
0, 1, 49
Factor 4*u**2 + 8*u - 96.
4*(u - 4)*(u + 6)
Factor 3*z**3/4 - 11*z**2/4 - z.
z*(z - 4)*(3*z + 1)/4
Solve -3*c**5/7 - 48*c**4/7 + 1536*c**3/7 + 24576*c**2/7 - 196608*c/7 - 3145728/7 = 0 for c.
-16, 16
Factor 3*p**2 + 15*p - 42.
3*(p