, -1
Factor -m**2 + 101*m + 206.
-(m - 103)*(m + 2)
Let -3*s**4 - 582*s**3 - 27627*s**2 + 59388*s + 86436 = 0. What is s?
-98, -1, 3
What is i in -5*i**4 - 10*i**3 + 45*i**2 + 90*i = 0?
-3, -2, 0, 3
Find x such that -5*x**5 - 30*x**4 - 70*x**3 - 80*x**2 - 45*x - 10 = 0.
-2, -1
Suppose -32*b**5 - 124*b**4 - 144*b**3 - 44*b**2 + 8*b = 0. Calculate b.
-2, -1, 0, 1/8
What is b in 72*b**4/19 + 2886*b**3/19 - 2686*b**2/19 + 818*b/19 - 82/19 = 0?
-41, 1/4, 1/3
Let -2*u**4/7 + 20*u**3/7 - 54*u**2/7 + 36*u/7 = 0. What is u?
0, 1, 3, 6
Factor -2*x**3/21 + 26*x**2/21 - 46*x/21 + 22/21.
-2*(x - 11)*(x - 1)**2/21
Suppose -5*q**3 + 60*q**2 + 665*q = 0. Calculate q.
-7, 0, 19
Find l, given that -4*l**5 - 56*l**4 - 292*l**3 - 672*l**2 - 576*l = 0.
-4, -3, 0
Factor -5*z**4 - 370*z**3 - 1425*z**2 - 1760*z - 700.
-5*(z + 1)**2*(z + 2)*(z + 70)
Let -3*g**2 - 1098*g - 100467 = 0. What is g?
-183
Solve 7*w**4/6 - 289*w**3/6 + 3155*w**2/6 - 3671*w/6 + 133 = 0 for w.
2/7, 1, 19, 21
Factor -5*s**3 + 36*s**2 - 324*s/5.
-s*(5*s - 18)**2/5
What is k in -3*k**5 + 81*k**4 - 552*k**3 + 1188*k**2 + 96*k - 1728 = 0?
-1, 2, 4, 18
Factor h**3/5 - 679*h**2/5 + 1343*h - 3345.
(h - 669)*(h - 5)**2/5
Factor -4*x**4/9 + 208*x**3/9 - 3256*x**2/9 + 4784*x/3 - 2116.
-4*(x - 23)**2*(x - 3)**2/9
Suppose 2*y**3 - 23424*y**2 + 91447296*y - 119003414528 = 0. What is y?
3904
Find t such that t**4/9 - 7*t**3/9 + 5*t**2/3 - t = 0.
0, 1, 3
Suppose -20*k**3 + 548*k**2 - 1656*k + 576 = 0. What is k?
2/5, 3, 24
Factor -3*c**3 - 42*c**2 + 147*c - 102.
-3*(c - 2)*(c - 1)*(c + 17)
Let -2*j**5/9 + 5*j**4/9 + j**3/3 - 8*j**2/9 - 4*j/9 = 0. Calculate j.
-1, -1/2, 0, 2
Suppose 3*t**4 - 6*t**3 - 9*t**2 + 24*t - 12 = 0. Calculate t.
-2, 1, 2
Factor -4*d**4 + 40*d**3 - 132*d**2 + 176*d - 80.
-4*(d - 5)*(d - 2)**2*(d - 1)
Determine q, given that -2*q**2/9 - 290*q/9 + 604/3 = 0.
-151, 6
Let 3*l**2 - 1200*l + 2388 = 0. What is l?
2, 398
Let -p**3/2 - 261*p**2 - 68121*p/2 = 0. What is p?
-261, 0
Solve -4*c**5 - 138*c**4 - 1224*c**3 - 578*c**2 = 0 for c.
-17, -1/2, 0
Factor -3*o**3/4 - 2553*o**2/4 - 135468*o + 136107.
-3*(o - 1)*(o + 426)**2/4
Factor -4*w**3 - 268*w**2 - 3020*w - 2756.
-4*(w + 1)*(w + 13)*(w + 53)
Suppose 3*w**5/7 + 8*w**4/7 + 2*w**3/7 - 12*w**2/7 - 13*w/7 - 4/7 = 0. What is w?
-1, 4/3
Factor -588*i**4 - 1428*i**3 - 1119*i**2 - 306*i - 27.
-3*(i + 1)**2*(14*i + 3)**2
Let 75*r**5/8 + 45*r**4/2 - 207*r**3/8 - 21*r**2 + 18*r = 0. Calculate r.
-3, -1, 0, 4/5
Let 5*k**2/4 + 505*k/4 - 515/2 = 0. Calculate k.
-103, 2
Factor -b**4/5 - 7*b**3/5 - 9*b**2/5 + 27*b/5 + 54/5.
-(b - 2)*(b + 3)**3/5
Determine r, given that -4*r**5 - 12*r**4 + 24*r**3 + 32*r**2 = 0.
-4, -1, 0, 2
What is b in -4*b**2 - 256*b - 4096 = 0?
-32
Solve -2*y**3/7 - 14*y**2 + 418*y/7 - 318/7 = 0.
-53, 1, 3
Factor a**3/5 + 7*a**2/5 + 6*a/5.
a*(a + 1)*(a + 6)/5
Determine f so that 2*f**2 + 36*f = 0.
-18, 0
Factor z**5 + 16*z**4 + 77*z**3 + 98*z**2.
z**2*(z + 2)*(z + 7)**2
Factor -2*l**2/3 + 80*l - 6958/3.
-2*(l - 71)*(l - 49)/3
Solve 10*r**5 - 25*r**4 - 255*r**3 + 680*r**2 + 400*r = 0 for r.
-5, -1/2, 0, 4
Suppose 3*i**4 + 257*i**3 - 349*i**2 - 85*i + 174 = 0. Calculate i.
-87, -2/3, 1
Factor -3*b**2 + 33*b + 78.
-3*(b - 13)*(b + 2)
Factor o**2/6 + 17*o/6 + 26/3.
(o + 4)*(o + 13)/6
Factor a**2/3 - 65*a/3 - 134/3.
(a - 67)*(a + 2)/3
Let 2*k**2 + 6*k - 20 = 0. Calculate k.
-5, 2
Factor -2*d**4 - 278*d**3 + 848*d**2 - 568*d.
-2*d*(d - 2)*(d - 1)*(d + 142)
Determine z, given that -14*z**5/5 - 164*z**4/5 - 246*z**3/5 - 56*z**2/5 + 8*z = 0.
-10, -1, 0, 2/7
Suppose -5*j**2 - 820*j - 815 = 0. Calculate j.
-163, -1
Factor -28*h**4 + 64*h**3 - 44*h**2 + 8*h.
-4*h*(h - 1)**2*(7*h - 2)
Suppose -2*j**3 + 46*j**2 + 268*j + 336 = 0. What is j?
-3, -2, 28
Factor -z**3/5 - 11*z**2/5 + 16*z/5 + 64.
-(z - 5)*(z + 8)**2/5
Suppose -2*u**4/3 + 169*u**3/3 + 257*u**2/3 + 86*u/3 = 0. What is u?
-1, -1/2, 0, 86
Factor z**4/3 - 11*z**3/3 + 14*z**2/3 + 44*z/3 - 24.
(z - 9)*(z - 2)**2*(z + 2)/3
What is g in 5*g**5 - 45*g**4 - 230*g**3 - 370*g**2 - 255*g - 65 = 0?
-1, 13
Find r, given that -r**2/3 - 4*r - 9 = 0.
-9, -3
Find r such that 15*r**4 + 775*r**3 + 4455*r**2 - 2095*r - 3150 = 0.
-45, -7, -2/3, 1
Find w such that 5*w**5 + 170*w**4 + 1785*w**3 + 4160*w**2 - 16900*w = 0.
-13, -10, 0, 2
Let 15*i**2/7 + 78*i/7 + 15/7 = 0. What is i?
-5, -1/5
Find m such that -2*m**4/9 - 220*m**3/9 - 2158*m**2/3 - 23320*m/9 - 22472/9 = 0.
-53, -2
Factor 2*j**3 + 26*j**2 + 38*j - 66.
2*(j - 1)*(j + 3)*(j + 11)
Factor 2*c**3/5 + 68*c**2/5 + 578*c/5.
2*c*(c + 17)**2/5
Factor -4*c**4 + 40*c**3 + 252*c**2 - 2592*c.
-4*c*(c - 9)**2*(c + 8)
Find w, given that 3*w**4 - 255*w**3 + 5289*w**2 + 5547*w = 0.
-1, 0, 43
Factor w**4/5 - 3*w**2/5 - 2*w/5.
w*(w - 2)*(w + 1)**2/5
Factor 5*o**5 - 330*o**4 - 335*o**3.
5*o**3*(o - 67)*(o + 1)
Let 2*t**5/21 + 4*t**4/3 - 12*t**3/7 - 304*t**2/3 - 1442*t/3 - 588 = 0. Calculate t.
-7, -2, 9
Find n such that -n**2/2 - 777*n/2 + 779 = 0.
-779, 2
Solve -2*a**2/21 - 596*a/21 - 44402/21 = 0.
-149
Solve -2*x**2/9 + 56*x/9 - 40 = 0.
10, 18
Factor 5*s**3 + 20*s**2 - 55*s + 30.
5*(s - 1)**2*(s + 6)
Find j, given that -2*j**2 - 110*j + 1608 = 0.
-67, 12
Factor -g**3 + 147*g**2 + 298*g.
-g*(g - 149)*(g + 2)
Solve z**3 + 7*z**2 - z - 7 = 0 for z.
-7, -1, 1
Factor -4*k**2 - 208*k - 204.
-4*(k + 1)*(k + 51)
Factor x**3/2 + 4*x**2 - 153*x/2.
x*(x - 9)*(x + 17)/2
Factor -2*w**3/5 + 10*w**2 + 292*w/5 + 48.
-2*(w - 30)*(w + 1)*(w + 4)/5
Factor -2*l**5 - 28*l**4 + 190*l**3.
-2*l**3*(l - 5)*(l + 19)
Determine l so that -2*l**5 - 2*l**4 + 10*l**3 + 10*l**2 - 8*l - 8 = 0.
-2, -1, 1, 2
Factor -2*r**2/3 + 32*r/3 - 10.
-2*(r - 15)*(r - 1)/3
Find v such that -2*v**5/11 + 16*v**4/11 - 4*v**3 + 56*v**2/11 - 34*v/11 + 8/11 = 0.
1, 4
Find t, given that -t**3 + 77*t**2/9 + 14*t + 40/9 = 0.
-1, -4/9, 10
Find j, given that -4*j**3 - 88*j**2 + 404*j - 312 = 0.
-26, 1, 3
Factor -q**4 - 237*q**3 - 1853*q**2 - 4827*q - 4122.
-(q + 2)*(q + 3)**2*(q + 229)
Factor -4*w**2 + 17228*w + 17232.
-4*(w - 4308)*(w + 1)
Solve z**4/3 - z**3/3 - 4*z**2 = 0.
-3, 0, 4
Factor 3*i**5 + 21*i**4 + 42*i**3 + 24*i**2.
3*i**2*(i + 1)*(i + 2)*(i + 4)
Solve -2*p**4/13 + 1406*p**2/13 + 108*p = 0.
-26, -1, 0, 27
Factor 2*s**3/5 + 118*s**2/5 - 2*s/5 - 118/5.
2*(s - 1)*(s + 1)*(s + 59)/5
Find c such that c**5/3 - 56*c**4 + 7693*c**3/3 - 17762*c**2 + 84160*c/3 - 12800 = 0.
1, 6, 80
Factor -5*d**3 - 855*d**2 + 2600*d - 1740.
-5*(d - 2)*(d - 1)*(d + 174)
Let -r**4 + 18*r**3 - 27*r**2 - 86*r + 96 = 0. What is r?
-2, 1, 3, 16
Factor 4*w**2/9 - 56*w - 508/9.
4*(w - 127)*(w + 1)/9
Factor -g**3/5 - 7*g**2/5 + 6*g/5 + 72/5.
-(g - 3)*(g + 4)*(g + 6)/5
Factor p**3 + 85*p**2 + 775*p + 1875.
(p + 5)**2*(p + 75)
Suppose -5*b**3 - 150*b**2 + 2205*b - 2050 = 0. What is b?
-41, 1, 10
Factor 5*o**4 - 101*o**3 + 115*o**2 - 19*o.
o*(o - 19)*(o - 1)*(5*o - 1)
Find g, given that 66*g**3/13 - 68*g**2/13 - 2634*g/13 - 868/13 = 0.
-62/11, -1/3, 7
Factor -2*d**4/3 - 4*d**3/3 + 4*d/3 + 2/3.
-2*(d - 1)*(d + 1)**3/3
Find p, given that 3*p**4/2 - 15*p**3/2 + 3*p**2 + 12*p = 0.
-1, 0, 2, 4
Find z such that 3*z**5/2 + 51*z**4/2 + 138*z**3 + 258*z**2 + 144*z = 0.
-8, -6, -2, -1, 0
Factor 4*d**5 + 56*d**4 + 192*d**3 - 56*d**2 - 196*d.
4*d*(d - 1)*(d + 1)*(d + 7)**2
Factor -147*h**3/4 - 7665*h**2/2 - 4371*h/4 - 78.
-3*(h + 104)*(7*h + 1)**2/4
Determine z so that -5*z**5 + 45*z**4 - 125*z**3 + 75*z**2 + 130*z - 120 = 0.
-1, 1, 2, 3, 4
Suppose -2*d**4 - 52*d**3 - 264*d**2 - 496*d - 320 = 0. What is d?
-20, -2
Solve 4*g**3/7 + 20*g**2/7 + 32*g/7 + 16/7 = 0.
-2, -1
Determine k so that -4*k**2 + 1072*k - 71824 = 0.
134
Factor 9*x**3/5 + 12*x**2 + 33*x/5 - 18/5.
3*(x + 1)*(x + 6)*(3*x - 1)/5
Factor 4*u**3 + 2820*u**2 + 498432*u + 495616.
4*(u + 1)*(u + 352)**2
Factor -4*u**2/7 + 124*u/7 - 96.
-4*(u - 24)*(u - 7)/7
Solve l**3/3 - 1075*l**2/3 + 96481*l - 96123 = 0.
1, 537
Factor 2*a**3 - 626*a**2 + 1246*a - 622.
2*(a - 311)*(a - 1)**2
Determine y so that -y**5 - 1269*y**4 - 401955*y**3 + 403225*y**2 = 0.
-635, 0, 1
Find g such that 10*g**5 + 35*g**4 + 35*g**3 + 10*g**2 = 0.
-2, -1, -1/2, 0
Factor -4*b**4 - 8*b**3 + 76*b**2 - 112*b + 48.
-4*(b - 2)*(b - 1)**2*(b + 6)
Solve 5*l**5 - 265*l**4 + 1000*l**3 - 980*l**2 = 0 for l.
0, 2, 49
Factor 2*z**3/11 - 128*z**2/