36*g/23 - 90/23 = 0 for g.
-15, -3
Factor -2*c**2/5 + 276*c/5 - 9522/5.
-2*(c - 69)**2/5
Factor -3*l**2/5 + 93*l/5 - 174/5.
-3*(l - 29)*(l - 2)/5
Factor -2*g**4 - 560*g**3.
-2*g**3*(g + 280)
Factor 5*u**2 + 715*u - 2190.
5*(u - 3)*(u + 146)
Let 11*m**4/6 + m**3/3 - 22*m**2/3 - 4*m/3 = 0. What is m?
-2, -2/11, 0, 2
Solve 5*r**2/4 + 11*r + 39/4 = 0.
-39/5, -1
Find u such that 3*u**2/7 + 180*u/7 + 2697/7 = 0.
-31, -29
Factor -3*r**3/2 - 24*r**2 + 72*r + 1728.
-3*(r - 8)*(r + 12)**2/2
Factor 556*m**2/5 + 666*m - 36/5.
2*(m + 6)*(278*m - 3)/5
Determine y, given that -3*y**4 + 24*y**3 + 78*y**2 - 504*y + 405 = 0.
-5, 1, 3, 9
Factor 4*l**4/5 + 8*l**3/5 - 12*l**2/5 - 16*l/5 + 16/5.
4*(l - 1)**2*(l + 2)**2/5
Suppose -g**4 - 80*g**3 - 234*g**2 - 232*g - 77 = 0. Calculate g.
-77, -1
Determine k so that 2*k**2 + 1204*k + 181202 = 0.
-301
Factor 3*z**2 - 447*z + 882.
3*(z - 147)*(z - 2)
Let -3*x**3 + 15*x**2 + 231*x - 1323 = 0. Calculate x.
-9, 7
Factor c**3/6 - 8*c**2/3 - c/6 + 8/3.
(c - 16)*(c - 1)*(c + 1)/6
Suppose -9*x**5/5 + 34*x**4/5 + 26*x**3/5 - 104*x**2/5 - 21*x - 18/5 = 0. Calculate x.
-1, -2/9, 3
Factor u**3/2 - 13*u**2/2 + 21*u.
u*(u - 7)*(u - 6)/2
Determine c, given that 20*c**3 - 825*c**2 - 845*c = 0.
-1, 0, 169/4
Find n such that 4*n**3 + 173*n**2 - 133*n - 44 = 0.
-44, -1/4, 1
Factor -3*v**5/4 + 3*v**4/2 + 9*v**3/4 - 3*v**2 - 3*v.
-3*v*(v - 2)**2*(v + 1)**2/4
Solve 12*r**5 - 160*r**4 - 484*r**3 - 440*r**2 - 128*r = 0 for r.
-1, -2/3, 0, 16
Factor -2*k**3 + 480*k**2 - 38400*k + 1024000.
-2*(k - 80)**3
Let 3*x**2 - 444*x = 0. Calculate x.
0, 148
Solve 2*v**3/7 - 8*v**2 = 0 for v.
0, 28
Factor -5*a**3 - 1375*a**2 - 93840*a + 95220.
-5*(a - 1)*(a + 138)**2
Find k, given that -2*k**3 + 20*k**2 - 34*k + 16 = 0.
1, 8
Factor 3*x**4 - 96*x**3 + 936*x**2 - 2688*x + 2352.
3*(x - 14)**2*(x - 2)**2
Factor k**3 - k**2 - 602*k + 1200.
(k - 24)*(k - 2)*(k + 25)
Factor -c**4/7 + 16*c**3/7 + 19*c**2/7 - 34*c/7.
-c*(c - 17)*(c - 1)*(c + 2)/7
Let 4*y**4 - 32*y**3 - 52*y**2 + 128*y + 144 = 0. What is y?
-2, -1, 2, 9
Factor -2*l**2 + 32*l - 30.
-2*(l - 15)*(l - 1)
Factor 2*w**2/15 + 32*w/15 - 34/15.
2*(w - 1)*(w + 17)/15
Find h such that -2*h**3/11 - 6*h**2/11 + 8*h/11 = 0.
-4, 0, 1
Factor -5*t**3 - 55*t**2 - 170*t - 120.
-5*(t + 1)*(t + 4)*(t + 6)
Solve 4*s**3 - 92*s**2 + 480*s + 576 = 0.
-1, 12
Factor -u**4/4 - 75*u**3/4 + 162*u**2 - 332*u.
-u*(u - 4)**2*(u + 83)/4
Find p such that 2*p**2/7 - 3952*p/7 + 1952288/7 = 0.
988
Factor 4*v**4 + 29*v**3 + 40*v**2 - 48*v.
v*(v + 4)**2*(4*v - 3)
Determine a, given that -a**4/3 - 2*a**3/3 + 11*a**2/3 + 4*a - 12 = 0.
-3, 2
Suppose -6*h**4/13 - 10*h**3/13 + 2*h**2 + 58*h/13 + 28/13 = 0. What is h?
-2, -1, 7/3
What is u in u**4/3 + 5*u**3/3 - 2*u**2 = 0?
-6, 0, 1
Solve 507*y**4 - 156*y**3 - 2016*y**2 + 624*y - 48 = 0.
-2, 2/13, 2
Factor -2645*i**2 + 1610*i - 245.
-5*(23*i - 7)**2
Determine v so that v**2 - 1814*v + 822649 = 0.
907
Factor -5*a**2 + 170*a - 165.
-5*(a - 33)*(a - 1)
Factor 5*k**2 - 11550*k + 6670125.
5*(k - 1155)**2
Let -30*r**4 + 413*r**3/2 + 51*r**2/2 - 7*r = 0. Calculate r.
-1/4, 0, 2/15, 7
Find y, given that -3*y**3 - 174*y**2 - 753*y + 2226 = 0.
-53, -7, 2
Factor v**2 + 3*v - 10.
(v - 2)*(v + 5)
Find y such that -y**4 - 80*y**3 - 1822*y**2 - 8880*y - 12321 = 0.
-37, -3
Find z, given that 3*z**3 - 4*z**2 - 17*z + 6 = 0.
-2, 1/3, 3
Factor -2*a**2/3 + 1086*a + 6524/3.
-2*(a - 1631)*(a + 2)/3
Determine b, given that -2*b**3 - 20*b**2 - 24*b + 144 = 0.
-6, 2
Determine w so that -4*w**4 + 104*w**3 - 672*w**2 - 104*w + 676 = 0.
-1, 1, 13
Suppose -2*q**5/3 + 7*q**4/3 - 2*q**3 - q**2/3 + 2*q/3 = 0. What is q?
-1/2, 0, 1, 2
Let 2*i**4/3 - 16*i**2 - 128*i/3 - 32 = 0. What is i?
-2, 6
Let -18*g**5 - 22*g**4 + 158*g**3 + 198*g**2 + 36*g = 0. Calculate g.
-3, -1, -2/9, 0, 3
Suppose -2*w**3 + 4528*w**2 - 2562848*w = 0. Calculate w.
0, 1132
Solve i**4 + 17*i**3 + 106*i**2 + 288*i + 288 = 0.
-6, -4, -3
Factor 2*b**2/7 + 24*b/7 + 10.
2*(b + 5)*(b + 7)/7
Let 3*p**2 + 33*p = 0. Calculate p.
-11, 0
Factor k**2/4 + 50*k - 204.
(k - 4)*(k + 204)/4
Suppose -5*c**3 - 8*c**2 + 19*c - 6 = 0. Calculate c.
-3, 2/5, 1
Let 2*w**2/7 - 6*w/7 = 0. Calculate w.
0, 3
Factor 35*z**3/6 + 5*z**2/3 - 35*z/6 - 5/3.
5*(z - 1)*(z + 1)*(7*z + 2)/6
Determine p so that -3*p**3/4 - 90*p**2 - 351*p - 348 = 0.
-116, -2
Factor -o**4/2 + o**3/2 + o**2/2 - o/2.
-o*(o - 1)**2*(o + 1)/2
Determine r so that -2*r**2/21 - 30*r/7 - 172/21 = 0.
-43, -2
What is x in -x**2/2 + 17*x + 35/2 = 0?
-1, 35
Determine n so that -n**2/5 - 108*n/5 - 416/5 = 0.
-104, -4
Let 4*j**3 + 220*j**2 + 1212*j + 1764 = 0. What is j?
-49, -3
Factor k**4/7 + 22*k**3/7 + 76*k**2/7 + 72*k/7.
k*(k + 2)**2*(k + 18)/7
Solve z**3/11 + 9*z**2/11 + 14*z/11 - 24/11 = 0 for z.
-6, -4, 1
Find g, given that -2*g**3/9 + 410*g**2/9 + 8*g/9 - 1640/9 = 0.
-2, 2, 205
Find q such that 2*q**4/7 + 52*q**3/7 - 174*q**2/7 - 256*q - 224 = 0.
-28, -4, -1, 7
Find j, given that 3*j**5/2 - 77*j**4/2 - 14*j**3 + 26*j**2 = 0.
-1, 0, 2/3, 26
Factor 5*k**4 - 95*k**3 + 390*k**2 - 580*k + 280.
5*(k - 14)*(k - 2)**2*(k - 1)
Factor -18*l**4 - 69*l**3 - 60*l**2 + 12*l.
-3*l*(l + 2)**2*(6*l - 1)
Solve -3*r**4 + 27*r**3 - 51*r**2 - 27*r + 54 = 0 for r.
-1, 1, 3, 6
Let 4*i**3 - 16*i**2 - 240*i + 1152 = 0. Calculate i.
-8, 6
Factor -2*l**4 + 22*l**3 - 30*l**2 - 54*l.
-2*l*(l - 9)*(l - 3)*(l + 1)
Factor 4*y**4 + 96*y**3 - 436*y**2 + 336*y.
4*y*(y - 3)*(y - 1)*(y + 28)
What is m in -7*m**5 - 153*m**4/4 + 155*m**3 + 375*m**2/4 - 161*m/2 + 12 = 0?
-8, -1, 1/4, 2/7, 3
Suppose -2*c**2 - 466*c - 1380 = 0. What is c?
-230, -3
Factor -4*d**3/9 + 16*d**2/9 - 4*d/3.
-4*d*(d - 3)*(d - 1)/9
Find l, given that -2*l**2/15 - 136*l/15 - 88/5 = 0.
-66, -2
Find k, given that -5*k**2 - 550*k - 15125 = 0.
-55
Factor -v**5 + 37*v**4 + 3*v**3 - 109*v**2 - 74*v.
-v*(v - 37)*(v - 2)*(v + 1)**2
Factor -a**3 - 29*a**2 - 195*a + 225.
-(a - 1)*(a + 15)**2
Suppose b**5 + 568*b**4 + 79512*b**3 - 324896*b**2 + 327184*b = 0. What is b?
-286, 0, 2
Factor k**2/6 + 37*k/6 + 80/3.
(k + 5)*(k + 32)/6
Factor 10*o**4/7 + 22*o**3/7 + 2*o**2 + 2*o/7.
2*o*(o + 1)**2*(5*o + 1)/7
Factor -5*k**3/4 - 7*k**2/2 - 13*k/4 - 1.
-(k + 1)**2*(5*k + 4)/4
Determine l, given that -2*l**2/3 - 410*l/3 - 404 = 0.
-202, -3
Find u such that 4*u**5 - 12*u**4 - 24*u**3 + 40*u**2 + 84*u + 36 = 0.
-1, 3
Solve -s**2/3 - 382*s - 109443 = 0 for s.
-573
Factor -5*x**5 - 10*x**4 + 15*x**3 + 20*x**2 - 20*x.
-5*x*(x - 1)**2*(x + 2)**2
Solve -a**4/4 + 10*a**3 - 19*a**2/2 - 10*a + 39/4 = 0.
-1, 1, 39
Factor 5*d**2 + 40*d + 35.
5*(d + 1)*(d + 7)
Factor -2*z**5/7 + 122*z**4/7 - 34*z**3 + 118*z**2/7.
-2*z**2*(z - 59)*(z - 1)**2/7
What is p in p**5 + 21*p**4/4 + 29*p**3/4 + 3*p**2/2 = 0?
-3, -2, -1/4, 0
Factor -2*l**2 + 6*l.
-2*l*(l - 3)
Find k, given that 4*k**2 + 10*k/3 - 2/3 = 0.
-1, 1/6
Factor -2*g**2 - 428*g + 4014.
-2*(g - 9)*(g + 223)
Factor -3*y**3 + 3645*y**2 - 1476225*y + 199290375.
-3*(y - 405)**3
Solve -4*j**4/3 + 121*j**3 - 973*j**2/3 + 146*j + 176/3 = 0.
-1/4, 1, 2, 88
Factor -g**5/2 - 20*g**4.
-g**4*(g + 40)/2
Factor 2*n**4/3 - 40*n**3/3 - 2*n**2/3 + 40*n/3.
2*n*(n - 20)*(n - 1)*(n + 1)/3
Suppose -5*q**3 - 55*q**2 + 130*q = 0. Calculate q.
-13, 0, 2
Let -50*s**3/9 - 80*s**2/9 + 38*s/9 - 4/9 = 0. Calculate s.
-2, 1/5
Determine a so that 12*a**4 + 40*a**3 + 36*a**2 + 8*a = 0.
-2, -1, -1/3, 0
Factor -3*k**2 - 12*k + 36.
-3*(k - 2)*(k + 6)
Factor k**4/2 + 3*k**3/4 - 3*k**2 + 7*k/4.
k*(k - 1)**2*(2*k + 7)/4
Factor b**4 - 58*b**3 + 876*b**2 - 3542*b - 4477.
(b - 37)*(b - 11)**2*(b + 1)
Factor 2*o**3/17 - 48*o**2/17 + 190*o/17.
2*o*(o - 19)*(o - 5)/17
Suppose u**3/7 - 43*u**2 + 300*u/7 = 0. Calculate u.
0, 1, 300
What is n in -2*n**2/9 - 356*n/9 - 15842/9 = 0?
-89
Determine q so that 4*q**4 + 32*q**3/3 - 8*q**2 - 32*q/3 + 4 = 0.
-3, -1, 1/3, 1
Solve p**3/10 - p**2 + 5*p/2 = 0.
0, 5
Factor 4*o**2 - 4548*o + 13608.
4*(o - 1134)*(o - 3)
Factor f**3/3 + 31*f**2/3 + 50*f/3 - 232/3.
(f - 2)*(f + 4)*(f + 29)/3
Factor 2*z**4/13 - 44*z**3/13 - 144*z**2/13 - 148*z/13 - 50/13.
2*(z - 25)*(z + 1)**3/13
Factor 2*y**2/23 - 1086*y/23.
2*y*(y - 543)/23
Factor 4*l**4 + 1072*l**3.
4*l**3*(l + 268)
Factor -3*h**3 + 24*h**2 - 51*h + 30.
-3*(h - 5)*(h - 2)*(h - 1)
Factor 4*w**3 + 20*w**2 - 24*w.
4*w*(w - 1)*(w +