0 = 0.
0, 1, 21
Factor 2*b**3 - 26*b**2/3 - 52*b - 160/3.
2*(b - 8)*(b + 2)*(3*b + 5)/3
Factor u**4/2 - 10*u**3 + 117*u**2/2 - 81*u.
u*(u - 9)**2*(u - 2)/2
Suppose -5*n**3 + 205*n**2 + 5*n - 205 = 0. Calculate n.
-1, 1, 41
Factor k**2/5 - 46*k + 2645.
(k - 115)**2/5
Solve -4*b**2 - 976*b - 59536 = 0.
-122
Solve 4*d**3 + 16*d**2 - 100*d - 112 = 0 for d.
-7, -1, 4
Determine m so that m**2/2 - 51*m/2 - 26 = 0.
-1, 52
Factor -2*o**2 + 286*o + 580.
-2*(o - 145)*(o + 2)
Factor f**5 - 33*f**4/2 + 163*f**3/2 - 63*f**2 - 270*f - 108.
(f - 6)**3*(f + 1)*(2*f + 1)/2
Factor -4*l**3 - 28*l**2 + 40*l + 64.
-4*(l - 2)*(l + 1)*(l + 8)
Factor -n**4/6 + n**3/2 - n**2/3.
-n**2*(n - 2)*(n - 1)/6
Let s**4/2 - 6*s**3 + 29*s**2/2 - 9*s = 0. Calculate s.
0, 1, 2, 9
Suppose 2*r**3/17 - 26*r**2/17 + 20*r/17 + 48/17 = 0. What is r?
-1, 2, 12
Suppose 5*h**4/6 - 20*h**3 + 45*h**2 + 180*h - 945/2 = 0. Calculate h.
-3, 3, 21
Let 128*o**3/13 - 16416*o**2/13 + 4098*o/13 - 256/13 = 0. What is o?
1/8, 128
Factor 2*t**4 - 16*t**3 + 36*t**2 - 32*t + 10.
2*(t - 5)*(t - 1)**3
Solve -3*t**4 - 27*t**3 - 39*t**2 + 27*t + 42 = 0.
-7, -2, -1, 1
Factor r**5/5 + 82*r**4/5 + 1597*r**3/5 - 3444*r**2/5 + 1764*r/5.
r*(r - 1)**2*(r + 42)**2/5
Factor 5*p**4 - 80*p**3 + 345*p**2 - 470*p + 200.
5*(p - 10)*(p - 4)*(p - 1)**2
What is h in -h**5/5 + 6*h**4/5 - 13*h**3/5 + 12*h**2/5 - 4*h/5 = 0?
0, 1, 2
Factor -14*w**3/9 + 136*w**2/9 - 254*w/9 - 28/3.
-2*(w - 7)*(w - 3)*(7*w + 2)/9
Determine p so that -2*p**5/3 - 104*p**4/9 + 64*p**3/3 + 28*p**2/9 - 62*p/3 + 76/9 = 0.
-19, -1, 2/3, 1
Solve -4*g**3 - 444*g**2 - 1728*g - 1712 = 0 for g.
-107, -2
Suppose -w**5/5 - 76*w**4/5 - 293*w**3/5 - 362*w**2/5 - 144*w/5 = 0. Calculate w.
-72, -2, -1, 0
Solve z**2/3 - 5*z/3 - 8 = 0 for z.
-3, 8
Factor -3*r**2/2 + 183*r/2 - 90.
-3*(r - 60)*(r - 1)/2
Factor -m**2/2 + 99*m/2 + 50.
-(m - 100)*(m + 1)/2
Let -m**2/2 + 67*m/2 + 180 = 0. What is m?
-5, 72
Factor -2*i**3/7 - 2060*i**2/7 - 4114*i/7 - 2056/7.
-2*(i + 1)**2*(i + 1028)/7
Factor 4*a**5 + 24*a**4 + 56*a**3 + 64*a**2 + 36*a + 8.
4*(a + 1)**4*(a + 2)
Determine b so that 5*b**5 + 35*b**4 - 45*b**3 - 35*b**2 + 40*b = 0.
-8, -1, 0, 1
Factor 250*w**4/3 + 62450*w**3/3 - 25060*w**2 + 30104*w/3 - 4016/3.
2*(w + 251)*(5*w - 2)**3/3
Factor -4*w**4/5 + 19*w**3/5 - 11*w**2/5 - 4*w/5.
-w*(w - 4)*(w - 1)*(4*w + 1)/5
Determine m, given that -m**3/4 + 625*m**2/2 - 97343*m - 195938 = 0.
-2, 626
Determine r so that -3*r**5/5 - 6*r**4/5 + 12*r**3/5 + 6*r**2/5 - 9*r/5 = 0.
-3, -1, 0, 1
Solve 3*u**2 - 225*u + 852 = 0 for u.
4, 71
Solve -f**5/5 + f**4 + 54*f**3/5 + 124*f**2/5 + 88*f/5 = 0.
-2, 0, 11
Suppose c**2 - 11*c + 18 = 0. What is c?
2, 9
Factor 3*q**2 - 2379*q.
3*q*(q - 793)
Factor -2*j**2/5 + 44*j/5 + 816/5.
-2*(j - 34)*(j + 12)/5
Suppose -3*q**2/7 + 57468*q/7 - 275214252/7 = 0. What is q?
9578
Find y such that -2*y**5/3 + 2*y**4/3 + 4*y**3 + 4*y**2/3 - 10*y/3 - 2 = 0.
-1, 1, 3
Find f, given that 102*f**4 + 1371*f**3 - 4008*f**2 + 2679*f - 144 = 0.
-16, 1/17, 1, 3/2
Factor -2*c**2/3 - 82*c/3 + 560.
-2*(c - 15)*(c + 56)/3
Factor -4*y**3 - 1608*y**2 + 1612*y.
-4*y*(y - 1)*(y + 403)
Factor 2*u**2/7 - 444*u/7 - 128.
2*(u - 224)*(u + 2)/7
Factor 2*d**3/9 - 10*d**2/9.
2*d**2*(d - 5)/9
Let w**4/4 + w**3/4 - 3*w**2/2 - w + 2 = 0. Calculate w.
-2, 1, 2
Factor -3*q**2 - 324*q - 8748.
-3*(q + 54)**2
Factor -g**4/3 - g**3/3 + 2*g**2 + 4*g/3 - 8/3.
-(g - 2)*(g - 1)*(g + 2)**2/3
Find w, given that -50*w**5/3 - 2740*w**4/3 + 9232*w**3/3 - 2912*w**2/3 - 7456*w/3 - 1856/3 = 0.
-58, -2/5, 2
Factor -n**2 - 768*n - 147456.
-(n + 384)**2
Factor -2*f**4 + 22*f**3 - 20*f**2.
-2*f**2*(f - 10)*(f - 1)
Find x, given that -x**4/2 - 3*x**3/2 + 49*x**2 - 192*x + 208 = 0.
-13, 2, 4
Factor 3*t**2/7 - 45*t/7 - 48/7.
3*(t - 16)*(t + 1)/7
Find y, given that 2*y**2/7 + 2304*y + 4644864 = 0.
-4032
Let -5*p**2 - 8455*p - 16890 = 0. What is p?
-1689, -2
Solve -i**2/4 - 24*i + 97/4 = 0 for i.
-97, 1
Factor 3*y**4/5 + 3*y**3 - 9*y**2/5 - 27*y - 162/5.
3*(y - 3)*(y + 2)*(y + 3)**2/5
Determine h, given that -3*h**5 - 28*h**4 - 85*h**3 - 80*h**2 + 28*h + 48 = 0.
-4, -3, -2, -1, 2/3
Find a such that 3*a**2 - 63*a + 270 = 0.
6, 15
Find j, given that 3*j**2/2 + 2805*j/2 + 2799 = 0.
-933, -2
Determine g so that -g**4/3 - 55*g**3/3 + 56*g**2/3 = 0.
-56, 0, 1
Solve 3*r**5/4 + 27*r**4/2 + 243*r**3/4 - 111*r**2 - 1152*r - 1728 = 0 for r.
-8, -3, 4
Factor p**4/3 + p**3 + p**2/3 - p - 2/3.
(p - 1)*(p + 1)**2*(p + 2)/3
Suppose -45*g**3 - 200*g**2 - 260*g - 80 = 0. Calculate g.
-2, -4/9
Factor 3*s**4 + 81*s**3 - 261*s**2 + 267*s - 90.
3*(s - 1)**3*(s + 30)
Factor 10*c**2 - 3776*c - 1512.
2*(c - 378)*(5*c + 2)
Suppose -5*v**2 - 110*v + 115 = 0. What is v?
-23, 1
Factor -3*q**2/4 + 171*q/2 - 9747/4.
-3*(q - 57)**2/4
Let t**5/4 - 6*t**4 + 85*t**3/4 - 51*t**2/2 + 10*t = 0. What is t?
0, 1, 2, 20
What is b in -2*b**5/9 - 56*b**4/3 - 652*b**3/9 - 968*b**2/9 - 214*b/3 - 160/9 = 0?
-80, -1
Factor 25*w**2 - 140*w - 60.
5*(w - 6)*(5*w + 2)
Factor -21*z**2/5 + 153*z/5 - 48.
-3*(z - 5)*(7*z - 16)/5
Determine n so that -n**5 + 6*n**4 - 12*n**3 + 8*n**2 = 0.
0, 2
Factor -c**3/4 - 229*c**2/4 + 461*c/4 - 231/4.
-(c - 1)**2*(c + 231)/4
Suppose 2*k**3/3 - 22*k**2/3 - 8*k = 0. What is k?
-1, 0, 12
Factor -4*k**3 + 36*k**2 - 60*k + 28.
-4*(k - 7)*(k - 1)**2
Solve -g**5 + 6*g**4 - 8*g**3 - 6*g**2 + 9*g = 0 for g.
-1, 0, 1, 3
Factor -42*b**3 - 333*b**2 - 270*b + 21.
-3*(b + 1)*(b + 7)*(14*b - 1)
Solve -3*z**2 - 27*z + 108 = 0 for z.
-12, 3
Let -j**4 - 212*j**3 - 14910*j**2 - 342788*j + 357911 = 0. What is j?
-71, 1
Factor x**3 - 1913*x**2 + 913935*x + 915849.
(x - 957)**2*(x + 1)
What is g in 2*g**5/3 + 49*g**4/3 + 356*g**3/3 + 694*g**2/3 + 506*g/3 + 121/3 = 0?
-11, -1, -1/2
Factor -s**2/6 - 55*s/6 + 589.
-(s - 38)*(s + 93)/6
Determine d, given that 2*d**5/17 - 24*d**4/17 - 632*d**3/17 - 2524*d**2/17 + 630*d/17 + 2548/17 = 0.
-7, -1, 1, 26
Determine m so that -2*m**2 - 176*m - 174 = 0.
-87, -1
Solve -4*h**3/7 - 456*h**2 - 121296*h - 10754912 = 0.
-266
Solve -f**3/6 + 23*f**2/6 - 15*f = 0.
0, 5, 18
Factor 2*r**2 + 20*r - 22.
2*(r - 1)*(r + 11)
Suppose z**5/3 + 169*z**4/3 + 7055*z**3/3 - 7225*z**2/3 = 0. What is z?
-85, 0, 1
Factor -3*j**2 - 2166*j - 2163.
-3*(j + 1)*(j + 721)
Factor 9*d**4 + 24*d**3 - 99*d**2 + 30*d.
3*d*(d - 2)*(d + 5)*(3*d - 1)
Let 3*z**3/2 - 39*z**2 - 84*z = 0. What is z?
-2, 0, 28
Factor 2*i**5 + 24*i**4 + 90*i**3 + 116*i**2 + 48*i.
2*i*(i + 1)**2*(i + 4)*(i + 6)
Solve f**3/2 + 7*f**2 + 65*f/2 + 50 = 0 for f.
-5, -4
Factor 4*c**2 + 44*c + 40.
4*(c + 1)*(c + 10)
Let -2*j**2/7 + 24596*j/7 - 75620402/7 = 0. What is j?
6149
Find m such that 3*m**3/7 - 3*m**2/7 - 18*m/7 = 0.
-2, 0, 3
Solve -u**2/2 + 3*u/2 = 0 for u.
0, 3
Factor -2*y**5/13 - 4*y**4/13 + 22*y**3/13 + 24*y**2/13 - 72*y/13.
-2*y*(y - 2)**2*(y + 3)**2/13
Factor 5*h**3 + 35*h**2 - 100*h - 480.
5*(h - 4)*(h + 3)*(h + 8)
Factor 2*q**3 - 12*q**2 - 30*q - 16.
2*(q - 8)*(q + 1)**2
Factor -2*d**2 - 16*d.
-2*d*(d + 8)
What is t in -t**5/11 + 3*t**4/11 + 2*t**3 + 38*t**2/11 + 27*t/11 + 7/11 = 0?
-1, 7
Factor q**4/3 - 14*q**3/3 + 23*q**2 - 48*q + 36.
(q - 6)*(q - 3)**2*(q - 2)/3
Solve -2*u**2/5 - 264*u/5 - 104 = 0.
-130, -2
Let i**3/4 - 3*i**2 + 17*i/4 + 15/2 = 0. Calculate i.
-1, 3, 10
Determine m so that -2*m**3/3 + 40*m**2/3 - 128*m/3 = 0.
0, 4, 16
Solve -2*d**3/7 - 64*d**2/7 - 96*d - 2304/7 = 0.
-12, -8
Factor -4*a**3 - 2168*a**2 + 4348*a - 2176.
-4*(a - 1)**2*(a + 544)
Let -2*a**3 + 66*a**2 - 240*a + 232 = 0. Calculate a.
2, 29
Factor 5*n**5 - 115*n**4 + 950*n**3 - 3290*n**2 + 4165*n - 1715.
5*(n - 7)**3*(n - 1)**2
Let 3*s**4 - 108*s**3 = 0. What is s?
0, 36
Solve a**2/7 + 20*a/7 + 64/7 = 0 for a.
-16, -4
Factor 11*o**4/4 - 13*o**3/4 + o**2/2.
o**2*(o - 1)*(11*o - 2)/4
Suppose 2*r**5/3 - 12*r**4 + 122*r**3/3 - 48*r**2 + 56*r/3 = 0. Calculate r.
0, 1, 2, 14
Factor -75*t**2/2 - 261*t + 21/2.
-3*(t + 7)*(25*t - 1)/2
Find n such that 3*n**2 + 294*n + 7203 = 0.
-49
Solve -4*i**3/7 - 120*i**2/7 + 564*i/7 + 680/7 = 0 for i.
-34, -1, 5
Solve 4*b**5/3 - 1076*b**4/3 + 1072*b**3/3 = 0.
0, 1, 268
Factor 2*j**2 - 20*j - 22.
2*(j - 11)*(j + 1)
Factor -2*a**4/7 - 26*a**3/7 + 128*a**2/7 - 136*a/7.
-2*a*(a - 2)**2*(a + 17)/7
Suppose -10*k**3/13 - 4*k**2/13 + 160*k/13 + 64/13 = 0. Calculate k.
