 0.
-10, 1, 9
Factor -392*p**2 + 1400*p - 1250.
-2*(14*p - 25)**2
Solve 20*m**5 + 172*m**4 + 436*m**3 + 404*m**2 + 120*m = 0 for m.
-5, -2, -1, -3/5, 0
Factor 4*k**2 + 392*k + 2880.
4*(k + 8)*(k + 90)
Factor -21*r**4 + 36*r**3 + 327*r**2 + 90*r.
-3*r*(r - 5)*(r + 3)*(7*r + 2)
Factor 2*w**3/11 + 600*w**2/11 + 60000*w/11 + 2000000/11.
2*(w + 100)**3/11
Suppose 245*h**5 - 29540*h**4 + 657005*h**3 + 15029050*h**2 - 8746180*h + 1256920 = 0. What is h?
-14, 2/7, 67
Suppose -i**5/2 + 29*i**4 - 475*i**3 + 1594*i**2 - 3753*i/2 + 729 = 0. Calculate i.
1, 2, 27
Solve 3*q**2/7 - 162*q/7 + 159/7 = 0 for q.
1, 53
Suppose -o**5 + 23*o**4 - 126*o**3 + 50*o**2 + 575*o + 375 = 0. What is o?
-1, 5, 15
Factor 3*z**4 - 24*z**3 - 9*z**2 + 66*z + 48.
3*(z - 8)*(z - 2)*(z + 1)**2
Factor -2*t**3/5 - 22*t**2/5 - 14*t/5 + 294/5.
-2*(t - 3)*(t + 7)**2/5
Factor 2*k**3/9 - 34*k**2/3 + 280*k/9 + 128/3.
2*(k - 48)*(k - 4)*(k + 1)/9
Suppose 5*n**3 - 475*n**2 + 10535*n + 36015 = 0. What is n?
-3, 49
Factor -t**4 + 8*t**3 - 23*t**2 + 28*t - 12.
-(t - 3)*(t - 2)**2*(t - 1)
What is r in -2*r**2/7 - 124*r + 870/7 = 0?
-435, 1
Factor -2*w**5 - 40*w**4/9 + 340*w**3/9 - 200*w**2/3 + 430*w/9 - 112/9.
-2*(w - 1)**4*(9*w + 56)/9
Factor 2*c**2 - 68*c + 528.
2*(c - 22)*(c - 12)
Factor 4*b**4 + 152*b**3 - 828*b**2 + 1360*b - 688.
4*(b - 2)**2*(b - 1)*(b + 43)
Find m such that 4*m**2 + 16*m + 16 = 0.
-2
Suppose 4*d**3/3 + 20*d**2/3 - 100*d/3 - 500/3 = 0. Calculate d.
-5, 5
Find o such that 3*o**3/5 + 6102*o**2/5 + 4137156*o/5 + 934997256/5 = 0.
-678
Let -5*p**4 - 5*p**3 + 20*p**2 + 20*p = 0. Calculate p.
-2, -1, 0, 2
Factor 5*c**2 + 9785*c.
5*c*(c + 1957)
Factor -3*j**2/7 + 57*j/7 + 450/7.
-3*(j - 25)*(j + 6)/7
Find x, given that 2*x**2/5 + 118*x/5 + 1056/5 = 0.
-48, -11
Factor 3*r**5 - 18*r**4 + 24*r**3 + 6*r**2 - 27*r + 12.
3*(r - 4)*(r - 1)**3*(r + 1)
Factor 3*h**3 + 9*h**2 - 30*h - 72.
3*(h - 3)*(h + 2)*(h + 4)
Suppose -2*d**2 + 58*d - 56 = 0. Calculate d.
1, 28
Determine p so that 231*p**4/4 + 24735*p**3/4 - 11523*p**2/2 - 1128*p + 648 = 0.
-108, -4/11, 2/7, 1
Let 16*s**3/3 - 5864*s**2/3 - 2935*s/3 - 367/3 = 0. Calculate s.
-1/4, 367
Factor 3*m**4 - 34*m**3 - 25*m**2 + 12*m.
m*(m - 12)*(m + 1)*(3*m - 1)
Factor -w**4/3 + 4*w**3/3 + w**2 - 14*w/3 + 8/3.
-(w - 4)*(w - 1)**2*(w + 2)/3
Find n such that 3*n**4 - 48*n**3 + 189*n**2 - 276*n + 132 = 0.
1, 2, 11
Find j such that 2*j**5 + 14*j**4 + 36*j**3 + 40*j**2 + 16*j = 0.
-2, -1, 0
Solve -2*p**3/15 - 2*p**2/5 + 8/15 = 0 for p.
-2, 1
Let 2*j**3/21 + 26*j**2/7 + 50*j/7 + 74/21 = 0. Calculate j.
-37, -1
Factor 3*o**4 + 36*o**3 + 87*o**2 + 54*o.
3*o*(o + 1)*(o + 2)*(o + 9)
What is k in -5*k**4 + 47*k**3 + 582*k**2 + 1120*k - 544 = 0?
-4, 2/5, 17
Suppose -g**3/2 + 2437*g**2/2 - 742980*g + 741762 = 0. Calculate g.
1, 1218
Determine b, given that 3*b**4 + 9984*b**3 + 12460032*b**2 + 6911164416*b + 1437522198528 = 0.
-832
Factor d**2/5 - 17*d/5 - 38/5.
(d - 19)*(d + 2)/5
Factor -5*k**4 + 2080*k**3 - 205670*k**2 - 2215200*k - 5671125.
-5*(k - 213)**2*(k + 5)**2
Find s, given that 5*s**5 - 7*s**4 - 13*s**3 + 11*s**2 + 8*s - 4 = 0.
-1, 2/5, 1, 2
Determine j, given that 26*j**4 - 206*j**3 + 114*j**2 + 374*j + 28 = 0.
-1, -1/13, 2, 7
Let 2*f**5/15 + 118*f**4/15 - 8*f**3 = 0. What is f?
-60, 0, 1
Solve g**3 + 244*g**2 + 14637*g - 30258 = 0 for g.
-123, 2
Factor -4*p**5 + 168*p**4 + 712*p**3 + 1088*p**2 + 732*p + 184.
-4*(p - 46)*(p + 1)**4
Factor 2*s**2/5 + 8*s/5 - 312.
2*(s - 26)*(s + 30)/5
Factor h**2 + 396*h - 397.
(h - 1)*(h + 397)
Suppose -5*o**5 - 115*o**4 - 310*o**3 + 4060*o**2 - 5880*o = 0. What is o?
-14, 0, 2, 3
Factor -y**4/4 + 17*y**3/4 - 31*y**2/4 + 15*y/4.
-y*(y - 15)*(y - 1)**2/4
Let -5*x**5 - 290*x**4 - 4205*x**3 = 0. Calculate x.
-29, 0
Determine t, given that -15*t**5 - 580*t**4 + 2410*t**3/3 + 380*t**2/3 - 805*t/3 - 200/3 = 0.
-40, -1/3, 1
Let -i**5/2 - 11*i**4/10 + 13*i**3/10 + 23*i**2/10 - 8*i/5 - 2/5 = 0. What is i?
-2, -1/5, 1
Factor 2*f**3/15 - 194*f**2/15 + 4606*f/15 + 4802/15.
2*(f - 49)**2*(f + 1)/15
Factor 147*y**5 + 5376*y**4 + 3036*y**3 + 432*y**2.
3*y**2*(y + 36)*(7*y + 2)**2
Find d such that -d**4 + 6*d**3 - 8*d**2 - 6*d + 9 = 0.
-1, 1, 3
Factor -c**4/5 - 6*c**3/5 - 11*c**2/5 - 6*c/5.
-c*(c + 1)*(c + 2)*(c + 3)/5
Let 6*z**4/7 - 25*z**3/7 + 22*z**2/7 - 3*z/7 = 0. Calculate z.
0, 1/6, 1, 3
Find j, given that 49*j**5 + 413*j**4 - 738*j**3 + 316*j**2 - 40*j = 0.
-10, 0, 2/7, 1
Determine u, given that -u**5/3 + 32*u**4 - 2912*u**3/3 + 12544*u**2/3 + 263424*u - 9834496/3 = 0.
-16, 28
Let 2*t**5 - 5192*t**4/3 - 10432*t**3/9 + 11552*t**2/3 - 13856*t/9 = 0. Calculate t.
-2, 0, 2/3, 866
Solve -243*o**5/8 - 945*o**4/2 + 15081*o**3/8 - 7683*o**2/4 + 1191*o/2 - 57 = 0.
-19, 2/9, 1, 2
Suppose 3*t**2/5 + 51*t/5 - 54/5 = 0. Calculate t.
-18, 1
Factor 3*m**3/4 + 81*m**2/4 - 579*m/4 + 495/4.
3*(m - 5)*(m - 1)*(m + 33)/4
Factor 3*y**4 - 468*y**3 + 18714*y**2 - 36036*y + 17787.
3*(y - 77)**2*(y - 1)**2
Let -p**4/6 + 19*p**3/6 - 3*p**2 = 0. What is p?
0, 1, 18
Find y such that 4*y**3 + 300*y**2 + 7068*y + 49972 = 0.
-31, -13
Factor 3*d**5 + 1434*d**4 - 2877*d**3 + 1440*d**2.
3*d**2*(d - 1)**2*(d + 480)
Factor y**2 + y - 12.
(y - 3)*(y + 4)
Factor 4*a**4 + 16*a**3 + 20*a**2 + 8*a.
4*a*(a + 1)**2*(a + 2)
Factor -g**2/2 + 815*g/2 - 1218.
-(g - 812)*(g - 3)/2
Find o such that -19*o**4/6 - 113*o**3/6 + 139*o**2/6 - 7*o/6 = 0.
-7, 0, 1/19, 1
Find x, given that 2*x**5/3 - 16*x**4/3 - 30*x**3 - 80*x**2/3 + 88*x/3 + 32 = 0.
-2, -1, 1, 12
Let 3*g**3/4 + 51*g**2/2 - 105*g/4 = 0. Calculate g.
-35, 0, 1
Factor m**2/8 + 57*m/2 + 227/8.
(m + 1)*(m + 227)/8
Factor 2*k**5 - 12*k**4 - 24*k**3 + 76*k**2 - 42*k.
2*k*(k - 7)*(k - 1)**2*(k + 3)
Find v, given that 2*v**4/7 + 166*v**3/7 + 4836*v**2/7 + 55432*v/7 + 175760/7 = 0.
-26, -5
Factor -2*l**2/3 - 166*l/3 + 1456/3.
-2*(l - 8)*(l + 91)/3
Suppose i**5/2 - 5*i**4/2 + 7*i**3/2 + i**2/2 - 4*i + 2 = 0. What is i?
-1, 1, 2
Find d, given that 5*d**2 + 38630*d + 74613845 = 0.
-3863
Solve b**5 + 65*b**4 + 1200*b**3 + 9720*b**2 + 36720*b + 53136 = 0 for b.
-41, -6
Factor 12*i**3 - 207*i**2 + 411*i - 90.
3*(i - 15)*(i - 2)*(4*i - 1)
Suppose 2*y**4/11 - 24*y**3/11 + 90*y**2/11 - 108*y/11 = 0. Calculate y.
0, 3, 6
Factor 4*s**4 - 104*s**3 + 852*s**2 - 2288*s + 1936.
4*(s - 11)**2*(s - 2)**2
Find q such that q**2 - 366*q + 365 = 0.
1, 365
What is s in s**5/3 - 77*s**4/3 + 1153*s**3/3 - 3007*s**2/3 + 2858*s/3 - 928/3 = 0?
1, 16, 58
Solve 2*v**5/19 - 24*v**4/19 - 164*v**3/19 + 1688*v**2/19 + 198*v + 1936/19 = 0.
-8, -1, 11
Factor -5*c**2 - 90*c - 85.
-5*(c + 1)*(c + 17)
Let -o**2/4 - 57*o/4 + 292 = 0. Calculate o.
-73, 16
What is o in 8*o**4/5 - 108*o**3/5 + 308*o**2/5 - 288*o/5 + 16 = 0?
1/2, 1, 2, 10
Suppose -6*i**3 + 4761*i**2 - 943272*i - 472827 = 0. What is i?
-1/2, 397
Suppose i**4/4 + i**3/2 - 11*i**2/4 - 3*i = 0. What is i?
-4, -1, 0, 3
Factor 3*i**2 - 42*i - 216.
3*(i - 18)*(i + 4)
Factor 5*z**2 + 260*z + 960.
5*(z + 4)*(z + 48)
Factor 2*z**3 - 20*z**2 - 46*z - 24.
2*(z - 12)*(z + 1)**2
Suppose -8*g**4/7 + 22*g**3/7 + 54*g**2/7 - 52*g/7 - 16/7 = 0. What is g?
-2, -1/4, 1, 4
Find m such that m**3/7 - 40*m**2/7 + 51*m + 126 = 0.
-2, 21
Find g such that -2*g**2 - 420*g - 22050 = 0.
-105
Factor -3*c**4 + 342*c**3 - 1008*c**2 + 1002*c - 333.
-3*(c - 111)*(c - 1)**3
Find u, given that 8*u**4/5 + 112*u**3 - 566*u**2/5 + 142*u/5 = 0.
-71, 0, 1/2
Factor 3*m**3 + 291*m**2 + 6909*m - 7203.
3*(m - 1)*(m + 49)**2
Solve -y**2/2 + 38*y + 77/2 = 0.
-1, 77
Suppose -4*i**5/5 - 16*i**4 - 496*i**3/5 - 616*i**2/5 + 2548*i/5 + 2744/5 = 0. Calculate i.
-7, -1, 2
Factor g**4/5 + g**3/5 - 36*g**2/5 - 36*g/5.
g*(g - 6)*(g + 1)*(g + 6)/5
Suppose u**3/4 - u**2/2 - 7*u/4 - 1 = 0. What is u?
-1, 4
Factor -7*o**4 - 590*o**3 + 1029*o**2 - 260*o - 172.
-(o - 1)**2*(o + 86)*(7*o + 2)
Suppose -12*y**2 + 1653*y - 1233 = 0. Calculate y.
3/4, 137
Solve -16*l**4 + 100*l**3 - 200*l**2 + 140*l - 24 = 0.
1/4, 1, 2, 3
Factor t**2/2 + 777*t + 1552.
(t + 2)*(t + 1552)/2
Find t, given that -t**3/7 + 11*t**2/7 - 19*t/7 + 9/7 = 0.
1, 9
Solve -j**4 + 21*j**3 - 137*j**2 + 279*j - 162 = 0 for j.
1, 2, 9
Factor 4*k**2 + 332*k - 680.
4*(k - 2)*(k + 85)
Determine u, given that -u**4/6 - 1157*u**3/6 + 4639*u**2/6 - 5803*u/6 + 387 = 0.
-1161, 1, 2
Factor -5*i**3/2 + 4