**2 + 64*m = 0. Calculate m.
-1, 0, 1, 8
Suppose -z**4/2 + 31*z**3/2 - 29*z**2/2 - 31*z/2 + 15 = 0. Calculate z.
-1, 1, 30
Let -2*k**3 + 1270*k**2 + 7682*k + 6410 = 0. Calculate k.
-5, -1, 641
Factor 2*r**2/7 + 144*r/7 + 142/7.
2*(r + 1)*(r + 71)/7
Find v, given that 3*v**4/8 - 3*v**3/2 - 21*v**2/8 + 15*v/4 = 0.
-2, 0, 1, 5
Factor 3*p**3/7 - 12*p/7.
3*p*(p - 2)*(p + 2)/7
Suppose -10*q**4/17 + 9626*q**3/17 - 2309748*q**2/17 - 3248680*q/17 - 929296/17 = 0. What is q?
-1, -2/5, 482
Factor -3*r**3/5 + 27*r**2/5 + 3*r/5 - 27/5.
-3*(r - 9)*(r - 1)*(r + 1)/5
Factor -3*z**3 - 42*z**2 + 105*z + 144.
-3*(z - 3)*(z + 1)*(z + 16)
Determine o so that -o**2 - 12*o + 133 = 0.
-19, 7
Factor -4*k**3/5 + 224*k**2/5 + 92*k + 232/5.
-4*(k - 58)*(k + 1)**2/5
Factor -p**3/10 - 1527*p**2/10 - 3051*p/10 - 305/2.
-(p + 1)**2*(p + 1525)/10
Factor -s**3/2 + 9*s**2/2 - 10*s + 6.
-(s - 6)*(s - 2)*(s - 1)/2
Factor q**4/4 - 57*q**3/4 + 265*q**2/2 - 267*q - 414.
(q - 46)*(q - 6)**2*(q + 1)/4
Determine l so that -5*l**4 - 260*l**3 + 20*l**2 + 1040*l = 0.
-52, -2, 0, 2
Find n such that -5*n**4 + 360*n**3 - 2350*n**2 + 4920*n - 2925 = 0.
1, 3, 65
Factor -5*f**3 - 155*f**2.
-5*f**2*(f + 31)
What is i in 5*i**2/3 - 265*i + 1570/3 = 0?
2, 157
Let -16*s**5 - 72*s**4 - 25*s**3 + 27*s**2 - 4*s = 0. Calculate s.
-4, -1, 0, 1/4
Factor -2*c**3 + 40*c**2 - 234*c + 324.
-2*(c - 9)**2*(c - 2)
Factor -3*g**2 + 3480*g + 6972.
-3*(g - 1162)*(g + 2)
Factor 2*z**2/21 + 124*z/21 - 130/7.
2*(z - 3)*(z + 65)/21
Factor 134*o**5/7 - 256*o**4/7 + 110*o**3/7 + 12*o**2/7.
2*o**2*(o - 1)**2*(67*o + 6)/7
Factor -8*j**2/15 - 62*j - 232/15.
-2*(j + 116)*(4*j + 1)/15
Factor -2*g**2 - 22*g - 36.
-2*(g + 2)*(g + 9)
Factor r**4 - 3*r**2 - 2*r.
r*(r - 2)*(r + 1)**2
Solve -2*m**4/7 - 2*m**3 + 8*m**2 - 40*m/7 = 0 for m.
-10, 0, 1, 2
Determine c, given that -5*c**3 + 20*c**2 + 55*c - 150 = 0.
-3, 2, 5
Find l such that l**4/5 + 118*l**3/5 + 3236*l**2/5 - 14518*l/5 + 11163/5 = 0.
-61, 1, 3
Find o such that 2*o**4/3 - 6*o**3 - 2*o**2/3 + 6*o = 0.
-1, 0, 1, 9
Solve -15*d**5/4 - 65*d**4 - 45*d**3/4 + 165*d**2 - 85*d = 0.
-17, -2, 0, 2/3, 1
Find f, given that 3*f**2 + 897*f = 0.
-299, 0
Suppose -z**4 - 13*z**3 - 30*z**2 + 4*z + 40 = 0. What is z?
-10, -2, 1
Find y, given that -y**4/2 + 39*y**3 - 77*y**2/2 = 0.
0, 1, 77
Solve -2*b**5/9 + 34*b**4/9 - 110*b**3/9 - 142*b**2/3 + 96*b + 216 = 0 for b.
-2, 3, 9
Factor 2*l**2/21 - 1990*l/21 + 284/3.
2*(l - 994)*(l - 1)/21
Factor q**2 + 54*q.
q*(q + 54)
Factor -w**4/4 + 13*w**3/4 - 5*w**2/2 - 6*w.
-w*(w - 12)*(w - 2)*(w + 1)/4
Find y such that -3*y**3/2 + 93*y**2 - 780*y = 0.
0, 10, 52
Determine k, given that -2*k**4/11 + 82*k**3/11 - 234*k**2/11 + 230*k/11 - 76/11 = 0.
1, 38
Let -372*v**2 + 748*v - 8 = 0. Calculate v.
1/93, 2
Factor -m**2/2 - 23*m/2 + 144.
-(m - 9)*(m + 32)/2
Determine l so that -8*l**2/9 + 154*l/9 - 38/9 = 0.
1/4, 19
Determine u so that -2*u**3/5 - 772*u**2 - 1858584*u/5 + 3732624/5 = 0.
-966, 2
Solve -660*g**4 - 1312*g**3 - 644*g**2 + 8*g = 0.
-1, 0, 2/165
Solve 4*s**2 - 32*s + 64 = 0.
4
Find i, given that -i**2 - 37*i - 70 = 0.
-35, -2
Factor -2*v**4 - 28*v**3 + 96*v**2 - 100*v + 34.
-2*(v - 1)**3*(v + 17)
Find q such that 2*q**4/9 + 2*q**3/9 = 0.
-1, 0
Factor -2*b**2/3 + 136*b/3 + 350.
-2*(b - 75)*(b + 7)/3
Factor 13*p**2 + 583*p - 90.
(p + 45)*(13*p - 2)
Let 2*g**3 + 14*g**2 + 12*g = 0. What is g?
-6, -1, 0
Suppose -7*i**5/5 - 23*i**4/5 + 246*i**3/5 - 152*i**2/5 - 64*i/5 = 0. Calculate i.
-8, -2/7, 0, 1, 4
Solve 9*d**4 - 6*d**3 = 0.
0, 2/3
Suppose -5*f**5 + 520*f**4 + 2130*f**3 + 3220*f**2 + 2155*f + 540 = 0. What is f?
-1, 108
Factor 3*s**2/5 - 9*s/5 - 54/5.
3*(s - 6)*(s + 3)/5
Suppose -w**3/8 + 17*w**2/4 - 31*w/8 - 33/4 = 0. What is w?
-1, 2, 33
Determine y so that 2*y**3/15 = 0.
0
Find o, given that 18*o**3 + 204*o**2 + 578*o = 0.
-17/3, 0
Factor 3*m**3 + 33*m**2 + 24*m - 60.
3*(m - 1)*(m + 2)*(m + 10)
Factor 32*l**3/13 - 7152*l**2/13 - 3582*l/13 - 448/13.
2*(l - 224)*(4*l + 1)**2/13
Solve -2*j**3/13 + 136*j**2/13 + 1718*j/13 + 1580/13 = 0.
-10, -1, 79
Determine z so that 6*z**5/13 - 98*z**4/13 - 1328*z**3/13 - 4488*z**2/13 - 4928*z/13 - 128 = 0.
-4, -1, -2/3, 26
Suppose -4*s**3 + 12*s**2 + 72*s - 160 = 0. Calculate s.
-4, 2, 5
Solve p**2/10 - 173*p/10 + 86/5 = 0 for p.
1, 172
What is b in -b**2/2 - 8*b + 17/2 = 0?
-17, 1
Factor 4*l**4/3 - 164*l**3 + 968*l**2/3.
4*l**2*(l - 121)*(l - 2)/3
Determine t so that t**2/6 + 17*t/3 + 289/6 = 0.
-17
Factor 5*y**2 + 260*y - 265.
5*(y - 1)*(y + 53)
Suppose 2*z**3/3 - 28*z**2 + 310*z/3 - 76 = 0. What is z?
1, 3, 38
What is y in 63*y**5 + 318*y**4 + 51*y**3 - 588*y**2 + 156*y = 0?
-13/3, -2, 0, 2/7, 1
Factor -3*z**3 - 12*z**2 + 105*z + 450.
-3*(z - 6)*(z + 5)**2
Factor -u**2 - 52*u - 51.
-(u + 1)*(u + 51)
Determine f, given that 4*f**3 + 164*f**2 + 160*f = 0.
-40, -1, 0
What is t in -2*t**5 - 462*t**4 - 1338*t**3 + 6806*t**2 - 7740*t + 2736 = 0?
-228, -6, 1
Suppose a**2/2 + 656*a/5 + 262/5 = 0. Calculate a.
-262, -2/5
Let -a**3 - 127*a**2 - 250*a = 0. Calculate a.
-125, -2, 0
Factor w**5/2 - 14*w**4.
w**4*(w - 28)/2
Determine m so that 3*m**3 - 30*m**2 - 201*m + 1092 = 0.
-7, 4, 13
Let i**3/3 - 234*i**2 - i/3 + 234 = 0. Calculate i.
-1, 1, 702
Determine l so that l**2/5 - 52*l/5 + 576/5 = 0.
16, 36
Factor x**4/2 - 36*x**3 + 141*x**2/2 - 35*x.
x*(x - 70)*(x - 1)**2/2
Suppose -3*y**5/4 - 33*y**4/2 - 51*y**3 + 897*y**2/2 - 1521*y/4 = 0. What is y?
-13, 0, 1, 3
Factor r**2/7 + 4*r/7 - 12/7.
(r - 2)*(r + 6)/7
What is n in 12*n**3 + 3609*n**2 + 2697*n - 900 = 0?
-300, -1, 1/4
What is s in 2*s**4/9 + 2*s**3/3 + 2*s**2/9 - 2*s/3 - 4/9 = 0?
-2, -1, 1
Suppose -t**3/9 + 16*t**2 + 196*t/3 + 592/9 = 0. Calculate t.
-2, 148
Let -d**3 + 8*d**2 + 23*d - 30 = 0. Calculate d.
-3, 1, 10
Determine z so that -15*z**2/4 + 51*z - 72 = 0.
8/5, 12
Factor -2*l**3/15 - 28*l**2/15 + 74*l/5 - 24.
-2*(l - 3)**2*(l + 20)/15
Let f**5/3 + 2*f**4/3 - 50*f**3/3 - 100*f**2/3 + 625*f/3 + 1250/3 = 0. What is f?
-5, -2, 5
Factor -2*h**2/11 - 42*h/11 - 180/11.
-2*(h + 6)*(h + 15)/11
Factor 4*i**2/5 + 448*i/5 + 12544/5.
4*(i + 56)**2/5
Factor w**2/10 + 49*w/5 + 96/5.
(w + 2)*(w + 96)/10
Factor -3*c**4/2 - 3*c**3/2.
-3*c**3*(c + 1)/2
Factor -j**4/4 + 11*j**3/4 - 19*j**2/2 + 10*j.
-j*(j - 5)*(j - 4)*(j - 2)/4
Factor d**3/4 + 37*d**2/4 - d/4 - 37/4.
(d - 1)*(d + 1)*(d + 37)/4
Factor -2*h**3/21 + 1576*h**2/21 - 310472*h/21.
-2*h*(h - 394)**2/21
Find g, given that 5*g**3 - 420*g**2 + 825*g - 410 = 0.
1, 82
Suppose 5*k**2/9 + k/3 - 2/9 = 0. Calculate k.
-1, 2/5
What is k in 3*k**5 + 75*k**4 - 96*k**3 - 456*k**2 + 336*k + 624 = 0?
-26, -2, -1, 2
Factor 10*y**3/9 + 28*y**2/9 - 16*y/3.
2*y*(y + 4)*(5*y - 6)/9
Solve -2*n**2/3 - 20*n - 250/3 = 0.
-25, -5
Find p, given that p**2/6 + 3871*p/6 - 1936/3 = 0.
-3872, 1
Factor 5*d**2 - 120*d - 125.
5*(d - 25)*(d + 1)
Factor -4*b**5 + 12*b**4 + 36*b**3 - 108*b**2.
-4*b**2*(b - 3)**2*(b + 3)
Factor 4*z**5 + 8*z**4 - 28*z**3 + 16*z**2.
4*z**2*(z - 1)**2*(z + 4)
Suppose f**4/5 - f**3/5 - 2*f**2/5 = 0. What is f?
-1, 0, 2
Factor 3*o**2/2 + 57*o + 108.
3*(o + 2)*(o + 36)/2
Suppose 4*i**4 - 328*i**3 + 624*i**2 + 1312*i - 2560 = 0. Calculate i.
-2, 2, 80
Suppose 2*z**3/7 - 12*z**2/7 - 32*z = 0. Calculate z.
-8, 0, 14
Factor 2*s**4/5 + 42*s**3/5 - 44*s**2/5.
2*s**2*(s - 1)*(s + 22)/5
Factor 5*j**3 + 1410*j**2 + 2805*j + 1400.
5*(j + 1)**2*(j + 280)
Find s, given that -2*s**2 - 60*s - 208 = 0.
-26, -4
Factor -4*l**4 - 196*l**3 - 700*l**2 + 900*l.
-4*l*(l - 1)*(l + 5)*(l + 45)
Find a, given that -2*a**5 + 28*a**4 - 114*a**3 + 72*a**2 + 216*a = 0.
-1, 0, 3, 6
Let -10*y**4/11 + 56*y**3/11 + 174*y**2/11 + 140*y/11 + 32/11 = 0. Calculate y.
-1, -2/5, 8
Let -3*k**5 + 81*k**4 - 618*k**3 - 60*k**2 + 12600*k - 12000 = 0. What is k?
-4, 1, 10
Factor -2*x**2/7 - 78*x/7 + 752/7.
-2*(x - 8)*(x + 47)/7
Determine b, given that -b**3/10 + 15*b**2/2 - 147*b/10 + 73/10 = 0.
1, 73
Factor 30*g**2/7 + 26*g/7 - 4/7.
2*(g + 1)*(15*g - 2)/7
Factor c**5/6 - 21*c**4/2 + 61*c**3/3 + c**2/3 - 41*c/2 + 61/6.
(c - 61)*(c - 1)**3*(c + 1)/6
Factor -c**3 + 40*c**2 + 283*c - 322.
-(c - 46)*(c - 1)*(c + 7)
Factor 5*n**2 - 660*n + 21780.
5*(n - 66)**2
Solve -2*q**5 - 68*q**4/5 + 54*q**3/5 + 272*q**2/5 - 56*q/5 = 0 for q.
-7, -2, 0, 1/5, 2
Factor -10*p**4/3 - 8*p**