*s + 45 = 0.
5, 6
Factor -5*n**2/3 + 5*n + 350/3.
-5*(n - 10)*(n + 7)/3
Factor -4*d**3 + 40*d**2 - 68*d + 32.
-4*(d - 8)*(d - 1)**2
Suppose -147*a**2 - 276*a + 36 = 0. What is a?
-2, 6/49
Find u such that 5*u**5 - 45*u**4 + 145*u**3 - 195*u**2 + 90*u = 0.
0, 1, 2, 3
Factor -3*l**2/4 - 207*l + 417.
-3*(l - 2)*(l + 278)/4
Solve 2*u**2 - 458*u = 0.
0, 229
Find v, given that 4*v**4 + 164*v**3 + 1904*v**2 + 4624*v + 2880 = 0.
-20, -18, -2, -1
Factor 2*p**3/7 + 236*p**2/7 - 478*p/7 + 240/7.
2*(p - 1)**2*(p + 120)/7
Factor -8*f**3 + 36*f**2 + 32*f - 144.
-4*(f - 2)*(f + 2)*(2*f - 9)
Find j such that -2*j**3/11 - 20*j**2/11 + 18*j/11 + 180/11 = 0.
-10, -3, 3
Factor 4*y**2 + 436*y - 888.
4*(y - 2)*(y + 111)
Factor -5*d**3/3 + 5*d**2 + 15*d - 45.
-5*(d - 3)**2*(d + 3)/3
Solve -5*s**4 - 290*s**3 + 1575*s**2 = 0.
-63, 0, 5
Solve -4*z**5/5 - 56*z**4/5 - 20*z**3 - 48*z**2/5 = 0 for z.
-12, -1, 0
Find i such that -2*i**4 + 20*i**3 - 16*i**2 - 128*i = 0.
-2, 0, 4, 8
Find o, given that -2*o**5/11 + 48*o**4/11 - 232*o**3/11 - 724*o**2/11 + 234*o/11 + 676/11 = 0.
-2, -1, 1, 13
Solve -c**5/4 + 6*c**4 + 14*c**3 - 51*c**2/2 - 55*c/4 + 39/2 = 0 for c.
-3, -1, 1, 26
Solve -3*g**5 - 21*g**4 + 150*g**3 + 186*g**2 - 147*g - 165 = 0 for g.
-11, -1, 1, 5
Factor -o**3/2 + o**2/2 + 3*o.
-o*(o - 3)*(o + 2)/2
What is s in -9*s**4/2 - 10*s**3 - 13*s**2/2 - s = 0?
-1, -2/9, 0
Let 38*w**2/11 - 90*w/11 - 128/11 = 0. What is w?
-1, 64/19
Let -5*c**2 - 90*c + 95 = 0. Calculate c.
-19, 1
Suppose k**4/2 - 2*k**3 - 10*k**2 + 24*k = 0. What is k?
-4, 0, 2, 6
Solve -8*p**4/3 - 94*p**3/9 - 121*p**2/9 - 64*p/9 - 4/3 = 0 for p.
-2, -3/4, -2/3, -1/2
Solve -2*d**3/17 - 8*d**2/17 - 6*d/17 = 0.
-3, -1, 0
Factor a**3/4 - 7*a**2 + 165*a/4 + 225/2.
(a - 15)**2*(a + 2)/4
Let 2*w**4/3 - 28*w**3 + 794*w**2/3 + 616*w + 968/3 = 0. What is w?
-1, 22
Factor -g**5/5 - 2*g**4 - 6*g**3 - 8*g**2 - 5*g - 6/5.
-(g + 1)**4*(g + 6)/5
What is o in 4*o**3 + 124*o**2 + 1020*o + 900 = 0?
-15, -1
Find u, given that u**2 - 5*u + 4 = 0.
1, 4
Find r, given that -6*r**4/19 + 1586*r**3/19 - 6792*r**2/19 + 8328*r/19 - 2080/19 = 0.
1/3, 2, 260
Let -d**3/3 + 31*d**2/3 - 220*d/3 = 0. What is d?
0, 11, 20
Suppose -2*g**5/11 + 12*g**4/11 - 10*g**3/11 - 32*g**2/11 + 24*g/11 + 32/11 = 0. Calculate g.
-1, 2, 4
Factor 3*c**3 + 93*c**2 + 486*c - 2376.
3*(c - 3)*(c + 12)*(c + 22)
Let 5*c**5 - 900*c**4 + 40500*c**3 = 0. Calculate c.
0, 90
Determine c, given that 36*c**4/7 - 184*c**3/7 + 128*c**2/7 + 312*c/7 - 36/7 = 0.
-1, 1/9, 3
Factor 2*q**2 + 18*q - 44.
2*(q - 2)*(q + 11)
Factor -3*o**2 - 30*o - 75.
-3*(o + 5)**2
What is h in -10*h**5/3 - 59*h**4/3 - 77*h**3/3 + 53*h**2/3 + 25*h + 6 = 0?
-3, -1/2, -2/5, 1
Let a**3 - 9*a**2 - 34*a - 24 = 0. Calculate a.
-2, -1, 12
Factor -3*t**2 - 111*t + 114.
-3*(t - 1)*(t + 38)
What is a in -a**5 + 7*a**4 - 13*a**3 + a**2 + 14*a - 8 = 0?
-1, 1, 2, 4
Factor -26*u**3 - 382*u**2 - 7678*u/13 - 242.
-2*(u + 13)*(13*u + 11)**2/13
Determine h so that -2*h**2 - 11666*h/3 + 7780/3 = 0.
-1945, 2/3
Factor -4*l**2 - 3700*l + 3704.
-4*(l - 1)*(l + 926)
Determine g so that 2*g**5 + 22*g**4/5 - 36*g**3/5 - 88*g**2/5 - 16*g/5 = 0.
-2, -1/5, 0, 2
Let -5*f**2 + 60*f - 135 = 0. What is f?
3, 9
Factor 3*o**3 - 24*o**2 - 57*o - 30.
3*(o - 10)*(o + 1)**2
Solve -4*y**5 + 12*y**3 + 8*y**2 = 0.
-1, 0, 2
Suppose -5*v**2 - 620*v = 0. Calculate v.
-124, 0
Let 3*w**4/2 + 137*w**3/2 + 271*w**2/6 + 15*w/2 = 0. What is w?
-45, -1/3, 0
Factor -5*q**2/4 - 415*q/2 - 7065/4.
-5*(q + 9)*(q + 157)/4
Determine p, given that -p**2/4 + 5*p/4 + 7/2 = 0.
-2, 7
Factor -w**3/6 + 25*w**2/6 - 25*w/2 - 375/2.
-(w - 15)**2*(w + 5)/6
Factor 5*x**4/7 + 103*x**3 + 144*x**2/7.
x**2*(x + 144)*(5*x + 1)/7
Solve y**2 - 6*y + 5 = 0.
1, 5
Find d such that 27*d**5 + 318*d**4 + 1251*d**3 + 1812*d**2 + 612*d - 240 = 0.
-5, -4, -2, -1, 2/9
Factor -3*j**3/4 + 3*j**2/2 + 9*j/4.
-3*j*(j - 3)*(j + 1)/4
Suppose -33*q**3 - 4350*q**2 - 3531*q + 786 = 0. Calculate q.
-131, -1, 2/11
Suppose -5*b**4 + 95*b**3 + 390*b**2 - 11900*b + 21560 = 0. What is b?
-11, 2, 14
Factor 4*r**3 - 2964*r**2 - 16*r + 11856.
4*(r - 741)*(r - 2)*(r + 2)
Suppose 4*p**5 + 20*p**4 + 8*p**3 - 80*p**2 - 96*p = 0. What is p?
-3, -2, 0, 2
Determine t, given that -t**4/4 - t**3/2 + 7*t**2 + 25*t/2 - 75/4 = 0.
-5, -3, 1, 5
Suppose 4*l**5 + 1752*l**4 - 3532*l**3 - 5264*l**2 + 7056*l + 7040 = 0. Calculate l.
-440, -1, 2
Factor -3*s**2 - 18*s + 21.
-3*(s - 1)*(s + 7)
Find f, given that f**2/3 + 1712*f/3 + 732736/3 = 0.
-856
Find q, given that 2*q**2/5 + 46*q/5 - 48/5 = 0.
-24, 1
Factor 2*j**2/3 - 44*j/3 - 32.
2*(j - 24)*(j + 2)/3
Factor -45*d**2 - 20*d + 25.
-5*(d + 1)*(9*d - 5)
Find d, given that -5*d**2 - 500*d - 11220 = 0.
-66, -34
Find d, given that -4*d**3/7 + 192*d**2/7 + 4*d/7 - 192/7 = 0.
-1, 1, 48
Find t, given that -t**3/2 + 40*t**2/3 - 63*t/2 - 12 = 0.
-1/3, 3, 24
Solve p**4/2 + 437*p**3/2 + 871*p**2/2 + 435*p/2 = 0.
-435, -1, 0
Factor -4*w**3 - 104*w**2 - 100*w.
-4*w*(w + 1)*(w + 25)
Suppose -w**5/3 - 35*w**4/3 + 151*w**3/3 - 193*w**2/3 + 26*w = 0. Calculate w.
-39, 0, 1, 2
Find y, given that y**5/3 + 16*y**4/3 - 2*y**3 - 88*y**2/3 + 125*y/3 - 16 = 0.
-16, -3, 1
Solve 12*i**3 - 39*i**2 + 12*i + 36 = 0.
-3/4, 2
Find a, given that a**5/8 - 7*a**4/8 + 7*a**3/4 - a**2/4 - 15*a/8 + 9/8 = 0.
-1, 1, 3
Find x, given that -204*x**4 - 372*x**3 - 183*x**2 - 6*x + 9 = 0.
-1, -1/2, 3/17
Factor 4*s**3 + 48*s**2.
4*s**2*(s + 12)
Factor -21*x**2/2 - 3*x/4.
-3*x*(14*x + 1)/4
Factor -d**2 - 195*d + 196.
-(d - 1)*(d + 196)
Factor -4*x**4 - 12*x**3 + 16*x.
-4*x*(x - 1)*(x + 2)**2
Suppose -2*t**2/3 - 74*t/3 - 24 = 0. Calculate t.
-36, -1
Suppose -35*c**5 - 675*c**4 - 2360*c**3 + 4980*c**2 + 25120*c + 6720 = 0. What is c?
-14, -4, -2/7, 3
What is u in 40*u**5 + 248*u**4 + 498*u**3 + 340*u**2 + 50*u = 0?
-5/2, -1, -1/5, 0
Find o such that -3*o**3 + 504*o**2 - 28224*o + 526848 = 0.
56
Factor 200*c**4/11 - 1520*c**3/11 + 78*c**2 - 126*c/11.
2*c*(c - 7)*(10*c - 3)**2/11
Let -g**5/7 - 9*g**4/7 - 4*g**3 - 36*g**2/7 - 16*g/7 = 0. What is g?
-4, -2, -1, 0
Factor 2*m**4 - 72*m**3 + 438*m**2 - 952*m + 696.
2*(m - 29)*(m - 3)*(m - 2)**2
Factor 2*d**2/11 + 1006*d/11 + 3000/11.
2*(d + 3)*(d + 500)/11
Factor -2*j**4/9 + 4*j**3/3 - 2*j**2 + 8*j/9.
-2*j*(j - 4)*(j - 1)**2/9
Factor 2*b**2/5 - 98*b + 1452/5.
2*(b - 242)*(b - 3)/5
Suppose p**3/4 + 12*p**2 + 23*p = 0. Calculate p.
-46, -2, 0
Solve w**4 - 2*w**3 = 0.
0, 2
What is c in 484*c**3 + 924*c**2 - 1440*c + 432 = 0?
-3, 6/11
Factor -4*q**2/7 - 2132*q/7 - 8464/7.
-4*(q + 4)*(q + 529)/7
Suppose -17*j**2/2 - 18*j - 2 = 0. What is j?
-2, -2/17
Determine p so that -20*p**5 + 156*p**4 - 288*p**3 - 64*p**2 = 0.
-1/5, 0, 4
Let 5*j**4/2 - 1455*j**3/4 + 3595*j**2/4 - 2865*j/4 + 715/4 = 0. Calculate j.
1/2, 1, 143
Solve 2*d**3/9 + 46*d**2/9 + 124*d/9 + 80/9 = 0.
-20, -2, -1
Factor -b**2 - 1938*b - 938961.
-(b + 969)**2
Solve -16*d**5 - 632*d**4 - 917*d**3 - 187*d**2 + 114*d = 0 for d.
-38, -1, -3/4, 0, 1/4
Find u such that -2*u**5/9 + 28*u**4/9 - 106*u**3/9 + 80*u**2/9 = 0.
0, 1, 5, 8
Factor 2*g**3/3 + 32*g**2/3 - 70*g/3 + 12.
2*(g - 1)**2*(g + 18)/3
Factor 3*m**2 + 2340*m.
3*m*(m + 780)
Factor -98*z**3 + 2674*z**2/17 - 1270*z/17 + 150/17.
-2*(7*z - 5)**2*(17*z - 3)/17
Solve 3*d**2/2 - 33*d - 69/2 = 0.
-1, 23
Suppose 3*g**3/5 - 228*g**2/5 = 0. What is g?
0, 76
Solve -t**4/8 + 4*t**3 + 53*t**2/4 - 4*t - 105/8 = 0.
-3, -1, 1, 35
Factor -a**2/3 - 93*a - 278/3.
-(a + 1)*(a + 278)/3
Solve 2*d**5 + 310*d**4 + 10544*d**3 - 113192*d**2 + 317504*d - 215168 = 0.
-82, 1, 4
Factor -u**4/3 + 13*u**3/3 + 34*u**2 + 220*u/3 + 152/3.
-(u - 19)*(u + 2)**3/3
Find o, given that o**2/3 + 15*o + 164/3 = 0.
-41, -4
Suppose -2*y**4/11 + 2*y**3 + 50*y**2/11 + 26*y/11 = 0. Calculate y.
-1, 0, 13
Factor g**3 + 426*g**2 + 60492*g + 2863288.
(g + 142)**3
Factor 3*g**4 - 6894*g**3 + 3967491*g**2 - 7914312*g + 3953712.
3*(g - 1148)**2*(g - 1)**2
Factor -83*u**2/11 + 662*u/11 + 16/11.
-(u - 8)*(83*u + 2)/11
Find y, given that 3*y**2 - 630*y + 33075 = 0.
105
Find q, given that 3*q**3/4 + 63*q**2/4 + 90*q + 75 = 0.
-10, -1
Solve 4*j**4 - 52*j**3 + 192*j**2 - 144*j = 0.
0, 1, 6
Factor -3*n**2 - 588*n.
-3*n*(n + 196)
Determine y so that -2*y**2 - 26648*y - 88764488 = 0.
-6662
Determine n so that 5*n**5/6 + 131*n*