- 15*i**3/4 + 85*i**2/4 + 25*i/4 - 15/2 = 0.
-1, 1/2, 2, 3
Suppose 20*i**3 + 852*i**2 - 1256*i - 1056 = 0. What is i?
-44, -3/5, 2
Solve 28*r**4 - 160*r**3 + 260*r**2 - 80*r - 48 = 0.
-2/7, 1, 2, 3
Factor -21*k**5/4 + 153*k**4/4 - 21*k**3/2.
-3*k**3*(k - 7)*(7*k - 2)/4
Solve -2*y**5 - 20*y**4 - 72*y**3 - 112*y**2 - 64*y = 0.
-4, -2, 0
Factor 2*i**3/5 - 76*i**2/5 + 66*i.
2*i*(i - 33)*(i - 5)/5
Factor q**4 - 6*q**3 + 8*q**2 + 6*q - 9.
(q - 3)**2*(q - 1)*(q + 1)
Factor s**2/5 + 128*s + 20480.
(s + 320)**2/5
Solve -3*f**4/5 - 9*f**3/5 + 9*f**2 - 51*f/5 + 18/5 = 0 for f.
-6, 1
Find c, given that -c**2/8 - 6*c - 72 = 0.
-24
Solve -5*s**5 + 5*s**4 + 5*s**3 - 5*s**2 = 0.
-1, 0, 1
Suppose -2*z**5 - 32*z**4 + 278*z**3 + 308*z**2 = 0. What is z?
-22, -1, 0, 7
Suppose 4*t**3 + 4*t**2 - 84*t - 180 = 0. Calculate t.
-3, 5
Solve -2*w**5/7 + 24*w**4/7 - 38*w**3/7 - 24*w**2/7 + 40*w/7 = 0.
-1, 0, 1, 2, 10
Suppose 20*q**5 + 234*q**4 + 676*q**3 + 706*q**2 + 276*q + 32 = 0. What is q?
-8, -2, -1, -1/2, -1/5
Factor c**2/2 + 29*c/2 - 148.
(c - 8)*(c + 37)/2
Solve b**5 + 12*b**4 - 14*b**3 - 12*b**2 + 13*b = 0.
-13, -1, 0, 1
Factor 2*y**2/3 - 8*y/3 - 10/3.
2*(y - 5)*(y + 1)/3
Factor 1125*j**5 + 1950*j**4 + 545*j**3 - 260*j**2 + 20*j.
5*j*(j + 1)**2*(15*j - 2)**2
Factor 2*w**2 - 209*w/2 - 663/2.
(w + 3)*(4*w - 221)/2
What is v in 338*v**4 - 5616*v**3 + 24992*v**2 - 13824*v + 2048 = 0?
4/13, 8
Let -5*g**5 + 5*g**4 + 810*g**3 - 810*g**2 - 32805*g + 32805 = 0. What is g?
-9, 1, 9
Let m**3/3 + 26*m**2/3 + 15*m - 24 = 0. What is m?
-24, -3, 1
Solve -5*t**3/2 - 35*t**2/2 - 35*t/2 + 75/2 = 0.
-5, -3, 1
Let 3*c**4 - 816*c**3 - 7515*c**2 - 20184*c - 13488 = 0. What is c?
-4, -1, 281
Factor 5*w**3 - 770*w**2 + 30400*w - 57760.
5*(w - 76)**2*(w - 2)
Find m, given that -2*m**3 + 30*m**2 - 72*m = 0.
0, 3, 12
Factor -4*m**2 - 68*m.
-4*m*(m + 17)
Factor j**3 - 389*j**2 - 390*j.
j*(j - 390)*(j + 1)
Suppose 2*s**3/11 - 20*s**2 - 222*s/11 = 0. Calculate s.
-1, 0, 111
Solve -y**2/4 + 49*y/2 + 50 = 0 for y.
-2, 100
Suppose 2*z**5/11 - 70*z**4/11 + 196*z**3/11 - 128*z**2/11 = 0. Calculate z.
0, 1, 2, 32
Suppose -2*a**5/3 + 16*a**4/3 - 6*a**3 - 44*a**2/3 + 40*a/3 + 16 = 0. Calculate a.
-1, 2, 6
Factor -2*o**3/13 + 10*o**2/13 + 2*o + 14/13.
-2*(o - 7)*(o + 1)**2/13
Let 3*h**2 + 207*h + 3534 = 0. What is h?
-38, -31
Factor -5*l**2/4 - 2055*l/4 + 2065/2.
-5*(l - 2)*(l + 413)/4
Solve 5*o**5 - 88*o**4 - 41*o**3 + 88*o**2 + 36*o = 0 for o.
-1, -2/5, 0, 1, 18
Find x, given that -2*x**3 + 30*x**2 - 64*x - 96 = 0.
-1, 4, 12
Factor -5*j**3 + 5*j**2 + 5*j - 5.
-5*(j - 1)**2*(j + 1)
Solve -3*o**3/2 + 3*o**2 + 45*o/2 = 0 for o.
-3, 0, 5
Solve 33*u**2 - 108*u = 0 for u.
0, 36/11
Factor -z**4 + 20*z**3 - 96*z**2 - 256*z + 2048.
-(z - 8)**3*(z + 4)
Factor -2*d**3/7 + 1794*d**2/7 + 3594*d/7 + 1798/7.
-2*(d - 899)*(d + 1)**2/7
Solve -2*f**3/7 - 48*f**2/7 - 258*f/7 + 44 = 0 for f.
-14, -11, 1
Let 2*q**5/3 + 18*q**4 + 146*q**3 + 1010*q**2/3 + 304*q + 96 = 0. Calculate q.
-12, -1
Determine t so that 5*t**2 - 25*t - 30 = 0.
-1, 6
Factor -5*z**4 - 95*z**3 - 615*z**2 - 1505*z - 980.
-5*(z + 1)*(z + 4)*(z + 7)**2
Factor p**4/12 + p**3/4 + p**2/6.
p**2*(p + 1)*(p + 2)/12
Factor -m**2/3 - 889*m/3 + 594.
-(m - 2)*(m + 891)/3
Find a, given that 81*a**5 - 1017*a**4 - 23549*a**3 + 299513*a**2 + 136560*a + 15300 = 0.
-17, -2/9, 15
Factor z**4/3 + 11*z**3/3 - 10*z**2 - 44*z/3 + 104/3.
(z - 2)**2*(z + 2)*(z + 13)/3
Find n, given that -2*n**2/7 - 6512*n/7 = 0.
-3256, 0
Factor 2*q**3/9 - 138*q**2 - 2492*q/9.
2*q*(q - 623)*(q + 2)/9
Factor 10*g**3 - 15*g**2 - 15*g + 10.
5*(g - 2)*(g + 1)*(2*g - 1)
Determine c so that -c**2/4 + 889*c/4 + 893 = 0.
-4, 893
Suppose -q**2 - 39*q + 220 = 0. What is q?
-44, 5
Find t, given that t**5/5 + 6*t**4/5 + 4*t**3/5 - 24*t**2/5 - 32*t/5 = 0.
-4, -2, 0, 2
Solve 3*c**4/5 + 33*c**3/5 + 96*c**2/5 + 84*c/5 = 0.
-7, -2, 0
Factor 32*k**4 - 16*k**3 - 126*k**2 + 64*k - 8.
2*(k - 2)*(k + 2)*(4*k - 1)**2
Factor -8910*y**2 + 2016*y - 8.
-2*(9*y - 2)*(495*y - 2)
Suppose -4*q**2 + 28*q - 24 = 0. What is q?
1, 6
Find v such that -4*v**5 - 12*v**4 + 376*v**3 - 672*v**2 = 0.
-12, 0, 2, 7
Determine u so that -2*u**3 - 6886*u**2 - 5930566*u - 5923682 = 0.
-1721, -1
Factor 5*d**4 + 35*d**3 - 65*d**2 - 215*d - 120.
5*(d - 3)*(d + 1)**2*(d + 8)
Find c such that -c**5/2 - 21*c**4/2 + 23*c**3 + 1023*c**2 - 45*c/2 - 2025/2 = 0.
-15, -1, 1, 9
Suppose -2*d**3/23 + 10680*d**2/23 - 14268474*d/23 + 28494244/23 = 0. What is d?
2, 2669
Suppose c**3 + 20*c**2 - 43*c + 22 = 0. Calculate c.
-22, 1
Factor -4*i**3 + 44*i**2 - 96*i - 144.
-4*(i - 6)**2*(i + 1)
Let -u**4/4 + u**3 + 3*u**2/4 - 5*u/2 - 2 = 0. What is u?
-1, 2, 4
What is q in 4*q**5 - 64*q**4 + 4*q**3 + 1880*q**2 + 5104*q + 3872 = 0?
-2, 11
Let -o**2/6 - 17*o/3 + 40 = 0. Calculate o.
-40, 6
Solve 2*t**2/5 - 68*t/5 - 14 = 0.
-1, 35
Find q, given that 2*q**5/5 + 4*q**4/5 - 56*q**3/5 + 92*q**2/5 - 42*q/5 = 0.
-7, 0, 1, 3
Factor 3*q**3/5 - 12*q**2/5 + 3*q - 6/5.
3*(q - 2)*(q - 1)**2/5
Determine u, given that -6*u**4 + 3*u**3 + 27*u**2 - 12*u - 12 = 0.
-2, -1/2, 1, 2
Suppose -2*a**5 - 10*a**4 + 66*a**3 - 62*a**2 - 64*a + 72 = 0. What is a?
-9, -1, 1, 2
Factor -r**4 + 469*r**3 + 471*r**2 - 469*r - 470.
-(r - 470)*(r - 1)*(r + 1)**2
Solve 2*l**2 + 7350*l = 0.
-3675, 0
Find f, given that 2*f**5/9 + 106*f**4/9 + 196*f**3/3 + 1144*f**2/9 + 752*f/9 = 0.
-47, -2, 0
Suppose -z**4/7 + 36*z**3/7 + z**2/7 - 36*z/7 = 0. What is z?
-1, 0, 1, 36
Solve 4*k**4 - 80*k**3/3 + 16*k**2/3 + 448*k/3 = 0.
-2, 0, 4, 14/3
Factor 5*o**3/2 + 15*o**2/2 - 1485*o/2 + 8505/2.
5*(o - 9)**2*(o + 21)/2
Factor 5*p**2 + 1520*p + 115520.
5*(p + 152)**2
Factor -q**3/2 + 3*q**2/2 + q/2 - 3/2.
-(q - 3)*(q - 1)*(q + 1)/2
Let -w**4/2 + 65*w**3/2 - 405*w**2/2 - 65*w/2 + 203 = 0. Calculate w.
-1, 1, 7, 58
Factor 2*v**5 + 10*v**4 + 12*v**3 - 4*v**2 - 14*v - 6.
2*(v - 1)*(v + 1)**3*(v + 3)
Factor -12*z**3 - 280*z**2 - 1532*z - 480.
-4*(z + 8)*(z + 15)*(3*z + 1)
Factor -2*k**2/9 - 4*k/9.
-2*k*(k + 2)/9
Suppose -o**2/3 + 23*o + 150 = 0. Calculate o.
-6, 75
Determine g so that -6*g**4/17 - 38*g**3/17 - 78*g**2/17 - 58*g/17 - 12/17 = 0.
-3, -2, -1, -1/3
Find k, given that -10*k**4 - 4*k**3 + 130*k**2 - 68*k - 48 = 0.
-4, -2/5, 1, 3
Factor -4*f**2 - 480*f + 484.
-4*(f - 1)*(f + 121)
Find d, given that -3*d**2 - 19440*d - 31492800 = 0.
-3240
Let l**3/2 - 11*l**2/2 - 8*l + 160 = 0. What is l?
-5, 8
Solve 2*r**2/5 + 6708*r/5 + 5624658/5 = 0 for r.
-1677
Let -3*h**5 + 180*h**4 + 384*h**3 - 738*h**2 - 381*h + 558 = 0. What is h?
-3, -1, 1, 62
Suppose f**2/3 - 25/3 = 0. What is f?
-5, 5
Factor 3*f**3 + 81*f**2 + 450*f + 600.
3*(f + 2)*(f + 5)*(f + 20)
Solve -4*t**2 - 236*t = 0.
-59, 0
Solve -2*k**5/9 - 20*k**4/9 - 32*k**3/9 + 76*k**2/9 + 34*k/9 - 56/9 = 0.
-7, -4, -1, 1
Factor 2*q**4/9 + 14*q**3/9 - 2*q**2/9 - 14*q/9.
2*q*(q - 1)*(q + 1)*(q + 7)/9
Factor -5*q**3 + 130*q**2 - 1020*q + 2520.
-5*(q - 14)*(q - 6)**2
Find x such that 108*x**2/7 - 4868*x/7 + 360/7 = 0.
2/27, 45
Find o such that -49392*o**4 - 102312*o**3 - 7140*o**2 - 506*o/3 - 4/3 = 0.
-2, -1/42
Factor -2*q**4 - 10*q**3 - 12*q**2 + 8*q + 16.
-2*(q - 1)*(q + 2)**3
Factor 2*p**2 + 120*p + 232.
2*(p + 2)*(p + 58)
Factor -2*f**3/5 + 146*f**2 + 2208*f/5.
-2*f*(f - 368)*(f + 3)/5
Let s**4 - 21*s**3 + 70*s**2 + 372*s + 280 = 0. Calculate s.
-2, -1, 10, 14
Factor -8*v**2 - 84*v + 44.
-4*(v + 11)*(2*v - 1)
What is s in 3*s**2/8 - 45*s/2 + 2697/8 = 0?
29, 31
Determine p, given that -5*p**3/4 - 49*p**2/4 + 65*p/4 - 11/4 = 0.
-11, 1/5, 1
Let -50*l**3 + 210*l**2 + 192*l + 40 = 0. What is l?
-2/5, 5
Factor -6*c**2/7 + 102*c.
-6*c*(c - 119)/7
Factor -2*j**2 + 1756*j - 385442.
-2*(j - 439)**2
Find r, given that -r**2 - 13*r + 30 = 0.
-15, 2
Let 2*p**2 + 522*p - 524 = 0. What is p?
-262, 1
What is r in 5*r**2/3 + 125*r + 370/3 = 0?
-74, -1
Determine u, given that 4*u**4 - 168*u**3 - 1340*u**2 - 1632*u + 3136 = 0.
-4, 1, 49
Factor 2*l**3 - 185*l**2/2 - 169*l + 48.
(l - 48)*(l + 2)*(4*l - 1)/2
Factor -3*v**2 - 330*v - 9075.
-3*(v + 55)**2
Determine g so that g**2/5 + 18*g + 405 = 0.
-45
Factor -a**4 + 106*a**3 - 2701*a**2 - 5724*a - 2916.
-(a - 54)**2*(a + 1)**2
Factor 5*b**5 + 100*b**4 - 30*b**3 - 560*b**2 + 785*b - 300.
5*(b - 1)**3*(b + 3)*(b + 20)
Let 3*o**3/2 + 360*o**2 + 439