-2*t**2/3 - 28*t/3 + 10.
-2*(t - 1)*(t + 15)/3
Factor 4*g**5 - 12*g**4 - 112*g**3.
4*g**3*(g - 7)*(g + 4)
Solve -2*a**3 + 92*a**2 - 990*a + 900 = 0 for a.
1, 15, 30
Factor 2*q**2 + 60*q - 128.
2*(q - 2)*(q + 32)
Factor t**2 + 83*t + 316.
(t + 4)*(t + 79)
Factor d**4/6 - 3*d**3/2 - 26*d**2/3.
d**2*(d - 13)*(d + 4)/6
Solve 3*q**3 - 3*q**2 - 27*q + 27 = 0 for q.
-3, 1, 3
Suppose 15*f**4 - 39*f**3 - 87*f**2/5 - 9*f/5 = 0. Calculate f.
-1/5, 0, 3
What is u in 2*u**5/5 - 54*u**4/5 + 476*u**3/5 - 1524*u**2/5 + 1826*u/5 - 726/5 = 0?
1, 3, 11
What is g in 6*g**4/11 + 12*g**3/11 - 42*g**2/11 - 48*g/11 + 72/11 = 0?
-3, -2, 1, 2
Find f such that 16*f**3/15 - 14*f**2/5 + 12*f/5 - 2/3 = 0.
5/8, 1
Factor -3*m**5 - 2*m**4 + 5*m**3.
-m**3*(m - 1)*(3*m + 5)
Let -2*r**3/7 + 242*r**2/7 - 7198*r/7 - 7442/7 = 0. Calculate r.
-1, 61
Suppose -4*y**3 - 336*y**2 - 980*y - 648 = 0. Calculate y.
-81, -2, -1
Factor -x**3/4 - x**2/2 + 5*x/4 + 3/2.
-(x - 2)*(x + 1)*(x + 3)/4
Solve 3*y**5/4 + 9*y**4/4 + 3*y**3/4 - 9*y**2/4 - 3*y/2 = 0.
-2, -1, 0, 1
Suppose -20*y**4 - 148*y**3 + 264*y**2 + 2368*y + 896 = 0. What is y?
-7, -4, -2/5, 4
Factor p**4/5 - 7*p**3/5 + 4*p**2/5 + 12*p/5.
p*(p - 6)*(p - 2)*(p + 1)/5
Factor -3*m**2 - 9*m.
-3*m*(m + 3)
Suppose -3*s**5/2 - 119*s**4/4 - 339*s**3/2 - 193*s**2 + 171*s + 891/4 = 0. What is s?
-9, -11/6, -1, 1
Factor 2*d**2/11 - 292*d/11 + 290/11.
2*(d - 145)*(d - 1)/11
Factor -2*d**2/3 - 20*d - 150.
-2*(d + 15)**2/3
Find t, given that t**5/2 - 6*t**4 - 38*t**3 + 96*t**2 = 0.
-6, 0, 2, 16
Factor 2*u**3 - 114*u**2 - 480*u - 488.
2*(u - 61)*(u + 2)**2
Factor d**4/3 - 11*d**3 + 96*d**2 - 256*d/3.
d*(d - 16)**2*(d - 1)/3
Suppose 5*b**2 - 11835*b = 0. Calculate b.
0, 2367
Factor 3*h**3/8 + 135*h**2/8 + 909*h/8 + 777/8.
3*(h + 1)*(h + 7)*(h + 37)/8
Determine w, given that 3*w**4 + 324*w**3 + 321*w**2 = 0.
-107, -1, 0
Let 3*x**4/8 - 9*x**3/2 + 18*x**2 - 30*x + 18 = 0. What is x?
2, 6
What is n in -n**5 + 16*n**4 + 18*n**3 - 16*n**2 - 17*n = 0?
-1, 0, 1, 17
Factor -5*k**2/2 - 1970*k - 388090.
-5*(k + 394)**2/2
Suppose 2*z**5 + 4*z**4 - 16*z**3 + 4*z**2 + 14*z - 8 = 0. What is z?
-4, -1, 1
Factor 92*m**3/5 - 176*m**2/5 - 292*m/5 - 24/5.
4*(m - 3)*(m + 1)*(23*m + 2)/5
Factor 4*j**3/5 + 2*j**2/5 - 14*j/5 - 12/5.
2*(j - 2)*(j + 1)*(2*j + 3)/5
Find p such that 6*p**4 + 177*p**3 - 543*p**2 - 34713*p - 17199 = 0.
-21, -1/2, 13
Factor 75*v**3 - 30*v**2 + 3*v.
3*v*(5*v - 1)**2
Find f, given that 234*f**2/7 - 237*f/7 + 3/7 = 0.
1/78, 1
Suppose b**2/4 - 159*b/4 + 157/2 = 0. What is b?
2, 157
Let 2*x**3 - 50*x**2 - 52*x = 0. Calculate x.
-1, 0, 26
Factor -2*g**3/7 + 38*g**2/7 - 208*g/7 + 352/7.
-2*(g - 11)*(g - 4)**2/7
Factor q**5/3 - 4*q**4/3 + 2*q**3/3 + 4*q**2/3 - q.
q*(q - 3)*(q - 1)**2*(q + 1)/3
What is g in 4*g**5 - 19*g**4 + 8*g**3 + 19*g**2 - 12*g = 0?
-1, 0, 3/4, 1, 4
Factor 2*q**3 + 262*q**2 + 516*q.
2*q*(q + 2)*(q + 129)
Solve -5*v**5/2 - 155*v**4 + 1675*v**3/2 = 0 for v.
-67, 0, 5
Factor -3*k**2 - 200*k - 132.
-(k + 66)*(3*k + 2)
Determine x, given that 114075*x**4 - 225810*x**3 - 346893*x**2 - 7044*x - 36 = 0.
-1, -2/195, 3
Solve 3*m**3/7 - 69*m**2 + 480*m/7 = 0.
0, 1, 160
Suppose v**2 + 49*v + 48 = 0. Calculate v.
-48, -1
Factor 5*i**4 - 115*i**3 + 765*i**2 - 2025*i + 1890.
5*(i - 14)*(i - 3)**3
Factor o**2/2 - 302*o - 605/2.
(o - 605)*(o + 1)/2
Factor j**2/5 - 13*j/5 + 22/5.
(j - 11)*(j - 2)/5
Suppose -t**5/8 - 5*t**4/4 - 15*t**3/4 - 5*t**2/2 + 31*t/8 + 15/4 = 0. What is t?
-5, -3, -2, -1, 1
Factor -5*b**2 - 80*b - 75.
-5*(b + 1)*(b + 15)
Find d, given that 4*d**2 - 288*d = 0.
0, 72
Factor -3*m**2 - 46*m + 32.
-(m + 16)*(3*m - 2)
Factor -3*r**2/2 + 231*r/2 - 114.
-3*(r - 76)*(r - 1)/2
Suppose -4*n**4 + 212*n**3/5 - 692*n**2/5 + 588*n/5 + 72 = 0. Calculate n.
-2/5, 3, 5
Determine h, given that 2*h**3 - 2*h**2 - 2*h + 2 = 0.
-1, 1
Factor 3*o**5 - 57*o**4 + 102*o**3.
3*o**3*(o - 17)*(o - 2)
Find q, given that -15*q**4 - 105355*q**3 - 246682875*q**2 - 192604475745*q - 128293378210 = 0.
-2341, -2/3
Determine a so that -a**5/7 - 271*a**4/7 - 18223*a**3/7 + 2681*a**2 + 18224*a/7 - 18496/7 = 0.
-136, -1, 1
Factor -10*o**5/19 + 68*o**4/19 - 168*o**3/19 + 176*o**2/19 - 64*o/19.
-2*o*(o - 2)**3*(5*o - 4)/19
What is b in -5*b**2/11 + 34*b/11 - 24/11 = 0?
4/5, 6
Factor 8*w**4 - 136*w**3 + 786*w**2 - 1768*w + 1352.
2*(w - 2)**2*(2*w - 13)**2
What is j in 3*j**5 - 231*j**4 + 1695*j**3 - 2709*j**2 + 1242*j = 0?
0, 1, 6, 69
Suppose 19*o**3/5 - 21*o**2/5 - 226*o/5 + 24/5 = 0. Calculate o.
-3, 2/19, 4
Factor -2*s**5/9 + 2*s**4/9 + 2*s**3/9 - 2*s**2/9.
-2*s**2*(s - 1)**2*(s + 1)/9
Find v such that -28*v**4 - 64*v**3 + 12*v**2 + 64*v + 16 = 0.
-2, -1, -2/7, 1
Determine c, given that c**4 - 2*c**3 - 25*c**2 + 50*c = 0.
-5, 0, 2, 5
Solve -g**4/11 - 34*g**3/11 - 124*g**2/11 - 120*g/11 = 0.
-30, -2, 0
Factor 2*t**2/3 - 28*t.
2*t*(t - 42)/3
Let 2*p**4/3 - 8*p**2/3 = 0. Calculate p.
-2, 0, 2
Determine r so that -r**5/10 - 2*r**4 - 46*r**3/5 - 53*r**2/5 + 93*r/10 + 63/5 = 0.
-14, -3, -1, 1
Let -2*q**4 + 72*q**3 - 616*q**2 + 960*q = 0. What is q?
0, 2, 10, 24
Factor -x**4/3 + 17*x**3/3 - 100*x**2/3 + 76*x - 48.
-(x - 6)**2*(x - 4)*(x - 1)/3
Solve 5*q**5/4 - 5*q**4/4 - 55*q**3/2 - 55*q**2 - 30*q = 0.
-2, -1, 0, 6
Solve -32*s**5/5 + 120*s**4 - 1462*s**3/5 + 1753*s**2/10 - 201*s/5 + 16/5 = 0 for s.
1/4, 2, 16
Solve w**5 - w**4 - 12*w**3 - 4*w**2 + 16*w = 0 for w.
-2, 0, 1, 4
Find k, given that 4*k**4/7 - 68*k**3/7 + 52*k**2 - 84*k = 0.
0, 3, 7
What is s in s**4/2 - 12*s**3 + 127*s**2/2 - 60*s - 136 = 0?
-1, 4, 17
Suppose -i**4/3 + 7*i**3/3 + 7*i**2/3 - 55*i/3 + 14 = 0. Calculate i.
-3, 1, 2, 7
Solve b**2/2 - 66*b + 130 = 0.
2, 130
Find w, given that -3*w**2 + 277*w/3 + 62/3 = 0.
-2/9, 31
Determine a so that 2*a**3/7 + 516*a**2/7 + 33282*a/7 = 0.
-129, 0
Factor -2*y**2 + 22*y - 48.
-2*(y - 8)*(y - 3)
Factor -5*y**2 + 420*y - 820.
-5*(y - 82)*(y - 2)
Factor 38*d**3/3 + 590*d**2/3 + 100*d.
2*d*(d + 15)*(19*d + 10)/3
Suppose -p**5 - 20*p**4 - 109*p**3 - 254*p**2 - 268*p - 104 = 0. Calculate p.
-13, -2, -1
Factor -f**3/7 + 993*f**2/7 - 328683*f/7 + 36264691/7.
-(f - 331)**3/7
Factor 3*t**4/8 - 15*t**3/4 + 9*t**2/2 + 27*t.
3*t*(t - 6)**2*(t + 2)/8
Factor -3*t**4/2 + 9*t**3 - 27*t**2/2.
-3*t**2*(t - 3)**2/2
Suppose -h**2/6 + 2687*h/6 = 0. What is h?
0, 2687
Let -4*s**4 + 12*s**3 - 4*s**2 - 12*s + 8 = 0. What is s?
-1, 1, 2
Solve 9*z**4 + 24*z**3 - 60*z**2 - 48*z = 0 for z.
-4, -2/3, 0, 2
Let -i**2 - 6*i - 5 = 0. Calculate i.
-5, -1
Determine j so that j**5/8 - 11*j**4/4 + 97*j**3/8 + 33*j**2 + 18*j = 0.
-1, 0, 12
Suppose -v**3/2 - 691*v**2 = 0. What is v?
-1382, 0
Suppose 2*i**5/9 - 32*i**4/9 + 110*i**3/9 = 0. Calculate i.
0, 5, 11
What is m in -3*m**2/7 - 6*m - 99/7 = 0?
-11, -3
Find x such that 9*x**4/4 + 21*x**3/4 - 39*x**2/4 - 69*x/4 - 9/2 = 0.
-3, -1, -1/3, 2
Let 3*k**3/7 + 15*k**2 = 0. Calculate k.
-35, 0
Solve -5*k**5 + 45*k**4 - 70*k**3 - 280*k**2 + 480*k + 640 = 0.
-2, -1, 4
Suppose a**2/2 + 188*a - 378 = 0. Calculate a.
-378, 2
Suppose 16*c**5 + 116*c**4 + 76*c**3 - 484*c**2 + 196*c + 80 = 0. What is c?
-5, -4, -1/4, 1
Determine r, given that -r**5 + 333*r**4/2 - 247*r**3 - 84*r**2 + 248*r - 165/2 = 0.
-1, 1/2, 1, 165
Find t, given that -10*t**2/13 - 434*t/13 - 172/13 = 0.
-43, -2/5
Factor o**5 - 13*o**4.
o**4*(o - 13)
Find x, given that 2*x**2/3 - 3556*x/3 = 0.
0, 1778
Factor -n**5/7 - 6*n**4/7 - 12*n**3/7 - 8*n**2/7.
-n**2*(n + 2)**3/7
Determine p, given that -p**3/4 + 39*p**2/2 - 1521*p/4 = 0.
0, 39
Determine i so that i**4/5 - i**3 + i**2 + i - 6/5 = 0.
-1, 1, 2, 3
Factor -3*c**3/8 + 9*c**2 - 87*c/2 + 54.
-3*(c - 18)*(c - 4)*(c - 2)/8
Let f**4/5 + 7*f**3/5 - 8*f**2/5 = 0. What is f?
-8, 0, 1
Find z such that -5*z**3 + 18810*z**2 - 23587740*z + 9859675320 = 0.
1254
Factor r**5 - 1054*r**4 + 4206*r**3 - 6304*r**2 + 4201*r - 1050.
(r - 1050)*(r - 1)**4
Factor 3*q**4/2 - 30*q**3 + 150*q**2.
3*q**2*(q - 10)**2/2
Factor -b**5 + 4*b**4 - 3*b**3 - 4*b**2 + 4*b.
-b*(b - 2)**2*(b - 1)*(b + 1)
Factor -g**3/12 + 5*g**2/12 + g - 3.
-(g - 6)*(g - 2)*(g + 3)/12
Factor -520*c**2 + 5212*c/5 - 24/5.
-4*(c - 2)*(650*c - 3)/5
Factor 250*h**3/9 + 100*h**2/3 + 40*h/3 + 16/9.
2*(5*h + 2)**3/9
Let r**3/2 + 103*r**2/2 + 908*r - 960 = 0. Calculate r.
-80, -24, 1
Suppose -2*u**4 - 40*u**3 - 28*