 21*q/4 + 9/2 = 0.
-3, -2, -1, 1/2, 1
Factor 4*d**3 + 8*d**2 - 12*d.
4*d*(d - 1)*(d + 3)
Factor 35*f**3 - 550*f**2 - 5795*f - 1610.
5*(f - 23)*(f + 7)*(7*f + 2)
Factor 5*u**2 + 120*u - 2660.
5*(u - 14)*(u + 38)
Factor 6*z**2/5 + 804*z/5 + 1584/5.
6*(z + 2)*(z + 132)/5
Factor -48*u**5/7 + 46*u**4/7 + 2*u**3/7.
-2*u**3*(u - 1)*(24*u + 1)/7
Factor 3*g**5 + 27*g**4 + 42*g**3 - 168*g**2 - 288*g + 384.
3*(g - 2)*(g - 1)*(g + 4)**3
Suppose 5*w**2 + 280*w - 2560 = 0. Calculate w.
-64, 8
Factor 4*u**2 + 4236*u - 8488.
4*(u - 2)*(u + 1061)
Factor 45*m**3 + 4870*m**2 + 10620*m + 2120.
5*(m + 2)*(m + 106)*(9*m + 2)
Solve -v**4/4 - 4455*v**3/4 - 6615675*v**2/4 - 3274759125*v/4 = 0.
-1485, 0
Factor 2*y**3/13 - 24*y**2/13 + 10*y/13 + 132/13.
2*(y - 11)*(y - 3)*(y + 2)/13
Suppose -4*m**2 - 528*m - 17424 = 0. What is m?
-66
Determine i, given that -3*i**2 - 1350*i - 151875 = 0.
-225
Factor -x**2 + 113*x - 2262.
-(x - 87)*(x - 26)
Solve 3*s**5 - 15*s**3 + 12*s = 0.
-2, -1, 0, 1, 2
Find u, given that 2*u**3/5 + 2*u**2/5 - 8*u = 0.
-5, 0, 4
Determine m so that -2*m**5/3 + 34*m**4/3 + 6*m**3 - 298*m**2/3 - 160*m/3 + 136 = 0.
-2, 1, 3, 17
Factor 21*d**3/4 + 1073*d**2/4 - 531*d - 53.
(d - 2)*(d + 53)*(21*d + 2)/4
Find u such that 9*u**3 - 390*u**2 - 263*u - 44 = 0.
-1/3, 44
Suppose 273*s**2 - 3828*s + 84 = 0. Calculate s.
2/91, 14
Factor -2*p**2/3 + 484*p/3 - 29282/3.
-2*(p - 121)**2/3
Suppose -1000*f**5 - 2830*f**4 - 7358*f**3/5 + 1978*f**2/5 + 38*f + 4/5 = 0. What is f?
-2, -1, -1/25, 1/4
Factor -u**2/8 - 27*u/2.
-u*(u + 108)/8
Factor n**3/5 - 7*n**2/5 + 16*n/5 - 12/5.
(n - 3)*(n - 2)**2/5
Factor 3969*p**2/4 - 63*p + 1.
(63*p - 2)**2/4
Factor 3*a**2 - 198*a + 3267.
3*(a - 33)**2
Factor -w**3 + 10*w**2 - 8*w - 64.
-(w - 8)*(w - 4)*(w + 2)
Factor -6*p**3/7 + 16260*p**2/7 - 11016150*p/7.
-6*p*(p - 1355)**2/7
Factor 3*o**4 - 6*o**3 - 60*o**2 + 198*o - 135.
3*(o - 3)**2*(o - 1)*(o + 5)
Factor -m**4 - 6*m**3 - 5*m**2 + 12*m.
-m*(m - 1)*(m + 3)*(m + 4)
Factor 4*p**3 + 956*p**2 - 2896*p + 1936.
4*(p - 2)*(p - 1)*(p + 242)
Let v**4 - 33*v**3 + 18*v**2 + 4532*v + 8712 = 0. What is v?
-9, -2, 22
Suppose 44*z**3 - 530*z**2/3 + 536*z/3 - 8/3 = 0. What is z?
1/66, 2
Suppose d**5/9 + 55*d**4/9 - 56*d**3/9 = 0. What is d?
-56, 0, 1
Suppose o**2/5 + 57*o/5 + 56/5 = 0. What is o?
-56, -1
Factor -2*s**3/17 - 22*s**2/17 + 20*s/17 + 400/17.
-2*(s - 4)*(s + 5)*(s + 10)/17
What is f in -4*f**3 - 328*f**2 - 6724*f = 0?
-41, 0
Factor 86*f**2/5 + 78*f/5 - 8/5.
2*(f + 1)*(43*f - 4)/5
Solve -5*i**5 - 400*i**4 + 2085*i**3 - 3380*i**2 + 1700*i = 0 for i.
-85, 0, 1, 2
Suppose -77*s**4/3 + 474*s**3 - 6889*s**2/3 + 996*s - 108 = 0. What is s?
2/11, 2/7, 9
Factor 5*y**4 - 2305*y**3 - 4625*y**2 - 2315*y.
5*y*(y - 463)*(y + 1)**2
Determine u, given that -80*u**3 - 219800*u**2 + 109915*u - 13740 = 0.
-2748, 1/4
Factor -2*q**2/11 - 46*q/11 + 216/11.
-2*(q - 4)*(q + 27)/11
Suppose -3*r**4/2 - 15*r**3/2 + 45*r**2/2 + 15*r/2 - 21 = 0. What is r?
-7, -1, 1, 2
Solve -4*y**5/9 + 14*y**4/9 - 4*y**3/3 - 2*y**2/9 + 4*y/9 = 0.
-1/2, 0, 1, 2
Find o, given that -2*o**2/9 - 82*o/9 - 80/9 = 0.
-40, -1
Determine n so that 3*n**4/11 - 365*n**3/11 - 505*n**2/11 + 1605*n/11 - 738/11 = 0.
-3, 2/3, 1, 123
Solve 2*r**5 + 18*r**4 - 122*r**3 - 554*r**2 + 3120*r - 2464 = 0.
-11, -7, 1, 4
Solve -3*l**4/2 - 39*l**3/2 - 117*l**2/2 - 81*l/2 = 0.
-9, -3, -1, 0
Factor -2*l**3/9 - 436*l**2/3 - 95048*l/3 - 20720464/9.
-2*(l + 218)**3/9
Let -4*n**3 - 20*n**2 - 24*n = 0. What is n?
-3, -2, 0
Find u, given that -50*u**4 + 23170*u**3 + 13914*u**2 + 13918*u/5 + 928/5 = 0.
-1/5, 464
Suppose -2*v**5 + 36*v**4 - 166*v**3 + 132*v**2 = 0. What is v?
0, 1, 6, 11
Suppose 20*d**4 - 265*d**3 + 385*d**2 + 3760*d - 960 = 0. Calculate d.
-3, 1/4, 8
Factor 20*m**4 + 152*m**3 - 64*m**2.
4*m**2*(m + 8)*(5*m - 2)
Factor -21*f**3 + 60*f**2 - 57*f + 18.
-3*(f - 1)**2*(7*f - 6)
Let 2*g**3/7 + 4*g**2/7 - 208*g/7 + 384/7 = 0. What is g?
-12, 2, 8
Factor -h**2 - 59*h - 168.
-(h + 3)*(h + 56)
Factor h**4 + 62*h**3 - 264*h**2.
h**2*(h - 4)*(h + 66)
Factor -o**4/2 + 7*o**3/2 + o**2/2 - 7*o/2.
-o*(o - 7)*(o - 1)*(o + 1)/2
Factor -d**4 - 54*d**3 + 4*d**2 + 216*d.
-d*(d - 2)*(d + 2)*(d + 54)
Factor -2*g**2 - 8336*g - 8686112.
-2*(g + 2084)**2
Determine j, given that 1369*j**5 + 37*j**4 - 5475*j**3/4 - 37*j**2 - j/4 = 0.
-1, -1/74, 0, 1
Factor -2*q**2/11 - 2*q/11.
-2*q*(q + 1)/11
What is x in -3*x**2/7 - 90*x/7 - 24 = 0?
-28, -2
What is s in s**4 + 17*s**3 - 209*s**2 - 225*s = 0?
-25, -1, 0, 9
Solve 144*a**2 - 242*a/7 + 4/7 = 0.
1/56, 2/9
Factor -2*a**5/21 - 2*a**4/7 - 2*a**3/7 - 2*a**2/21.
-2*a**2*(a + 1)**3/21
Determine r so that r**5/7 - 11*r**3/7 - 6*r**2/7 + 4*r + 24/7 = 0.
-2, -1, 2, 3
Determine d so that 2*d**3/5 - 664*d**2/5 - 1334*d/5 - 668/5 = 0.
-1, 334
Solve -8*z**5/11 - 30*z**4/11 + 32*z**3/11 + 106*z**2/11 + 36*z/11 - 16/11 = 0.
-4, -1, 1/4, 2
Find h such that 17*h**3/4 - 25*h**2 + 73*h/4 + 5/2 = 0.
-2/17, 1, 5
Find x, given that x**4/7 - 132*x**3/7 - 403*x**2/7 - 270*x/7 = 0.
-2, -1, 0, 135
Factor -2*y**2/5 + 172*y/5 - 3698/5.
-2*(y - 43)**2/5
Suppose -2*i**4/5 + 2*i**3/5 + 228*i**2/5 + 432*i/5 = 0. Calculate i.
-9, -2, 0, 12
Factor -2*d**2/23 - 64*d/23 + 136/23.
-2*(d - 2)*(d + 34)/23
Let -p**3/5 + 23*p**2/5 - 16*p + 76/5 = 0. Calculate p.
2, 19
Determine t, given that 2*t**3/3 - 446*t**2/3 + 8362*t - 8214 = 0.
1, 111
Factor 3*o**4 + 24*o**3 - 2169*o**2 - 26106*o + 60648.
3*(o - 28)*(o - 2)*(o + 19)**2
Factor -2*i**3/3 - 26*i**2/3 - 44*i/3.
-2*i*(i + 2)*(i + 11)/3
Suppose -3*r**5/4 - 103*r**4/4 + 35*r**3/2 = 0. Calculate r.
-35, 0, 2/3
Find n, given that -2*n**3/13 - 20*n**2/13 + 86*n/13 + 8 = 0.
-13, -1, 4
Solve -5*g**3 + 135*g**2 + 5*g - 135 = 0 for g.
-1, 1, 27
Find l, given that -5*l**3 + 30*l**2 + 35*l = 0.
-1, 0, 7
Solve 4*u**2 + 23432*u + 34316164 = 0 for u.
-2929
Factor 8*p**2 - 2214*p - 554.
2*(p - 277)*(4*p + 1)
What is t in -2*t**3/5 - 22*t**2 - 398*t/5 + 102 = 0?
-51, -5, 1
Factor -3*s**2 + 2223*s + 2226.
-3*(s - 742)*(s + 1)
Factor 2*z**2/9 - 3400*z/9 + 1445000/9.
2*(z - 850)**2/9
Factor y**4/4 - y**3 - 3*y**2/4 + 5*y/2 + 2.
(y - 4)*(y - 2)*(y + 1)**2/4
What is n in -3*n**5 - 11*n**4 - 5*n**3 + 3*n**2 = 0?
-3, -1, 0, 1/3
What is k in k**3/3 + 14*k**2 - 565*k/3 + 318 = 0?
-53, 2, 9
Suppose 12*y**5 + 147*y**4 + 468*y**3 + 108*y**2 = 0. Calculate y.
-6, -1/4, 0
Factor -12*o**2 + 92*o + 32.
-4*(o - 8)*(3*o + 1)
Suppose -2*z**3 + 18*z**2 - 12*z - 32 = 0. What is z?
-1, 2, 8
Factor -2*u**2 + 318*u + 1304.
-2*(u - 163)*(u + 4)
Factor 3*g**3 - 33*g**2 + 105*g - 75.
3*(g - 5)**2*(g - 1)
Factor 4*g**3 + 164*g**2 + 1596*g - 1764.
4*(g - 1)*(g + 21)**2
Factor 2*h**2/3 - 2*h/3 - 8.
2*(h - 4)*(h + 3)/3
Solve -15*u**3 + 624*u**2 - 6363*u - 2646 = 0 for u.
-2/5, 21
Factor -h**2/4 + 29*h/2.
-h*(h - 58)/4
Find g such that -g**2/5 + 33*g/5 - 116/5 = 0.
4, 29
Solve -2*y**2/11 - 696*y - 666072 = 0.
-1914
Solve -49*c**4 - 266*c**3 + 759*c**2 + 3040*c - 6400 = 0 for c.
-5, 16/7
Find v such that 4*v**3 + 124*v**2 - 4*v - 124 = 0.
-31, -1, 1
Factor f**5 - 21*f**4 + 42*f**3 + 758*f**2 + 741*f - 1521.
(f - 13)**2*(f - 1)*(f + 3)**2
Factor -4*g**4 + 16*g**3 + 372*g**2 + 1184*g + 832.
-4*(g - 13)*(g + 1)*(g + 4)**2
Suppose -9*s**2 - 277*s + 62 = 0. Calculate s.
-31, 2/9
Factor -2*c**3 + 16*c**2 - 14*c.
-2*c*(c - 7)*(c - 1)
Factor 4*q**2/5 + 118*q/5 + 58/5.
2*(q + 29)*(2*q + 1)/5
Determine m so that m**4/5 - 2*m**3/5 - 7*m**2/5 + 4*m - 12/5 = 0.
-3, 1, 2
Determine c, given that -18*c**4/7 + 50*c**3/7 + 12*c**2/7 - 72*c/7 - 16/7 = 0.
-1, -2/9, 2
Factor -4*m**4 + 4*m**3 + 20*m**2 + 12*m.
-4*m*(m - 3)*(m + 1)**2
Factor -u**4/3 + 2*u**3 - 11*u**2/3 + 2*u.
-u*(u - 3)*(u - 2)*(u - 1)/3
Let -2*u**2 + 210*u - 412 = 0. Calculate u.
2, 103
Factor -21*q**2 + 44631*q - 12750.
-3*(q - 2125)*(7*q - 2)
Factor -4*t**4 + 256*t**3 - 976*t**2 + 960*t.
-4*t*(t - 60)*(t - 2)**2
Let -x**5 + 24*x**4 + 52*x**3 + 2*x**2 - 51*x - 26 = 0. Calculate x.
-1, 1, 26
Suppose 2*c**5/19 - 246*c**4/19 + 7686*c**3/19 - 7442*c**2/19 = 0. What is c?
0, 1, 61
Factor x**4/2 + 9*x**3/2 - 165*x**2 - 2650*x - 10500.
(x - 21)*(x + 10)**3/2
What is x in 3*x**2 - 3336*x + 927408 = 0?
556
Find n such that -2*n**4/7 - 2*n**3/7 + 6*n**2/7 + 2*n/7 - 4/7 = 0.
-2, -1, 1
Suppose 3*t**2 - 177*t - 4158 = 0. What is t