- 380*j**2/3 + 122*j/3 + 84 = 0 for j.
-1, 1, 2, 63
Factor 3*i**2/8 + 24*i + 384.
3*(i + 32)**2/8
Solve -q**4 + 3*q**3 - 4*q = 0.
-1, 0, 2
Factor -5*d**4 - 17*d**3 - 7*d**2 + 17*d + 12.
-(d - 1)*(d + 1)**2*(5*d + 12)
Suppose -3*d**3 - 42*d**2 + 60*d + 1800 = 0. What is d?
-10, 6
Suppose 7*o**5/5 - 26*o**4/5 + 13*o**3/5 + 6*o**2/5 = 0. Calculate o.
-2/7, 0, 1, 3
Suppose 21*d**3/8 + 83*d**2/8 + 59*d/8 - 3/8 = 0. Calculate d.
-3, -1, 1/21
Solve -b**2/2 - 5*b/2 + 33 = 0 for b.
-11, 6
Factor 2*z**2/11 - 3100*z/11 - 282.
2*(z - 1551)*(z + 1)/11
Factor 9*l**3 + 33*l**2 - 144*l - 108.
3*(l - 3)*(l + 6)*(3*l + 2)
Determine u so that -u**2 - 6*u - 8 = 0.
-4, -2
Factor 2*d**2/7 + 1121*d/7 + 1677/7.
(d + 559)*(2*d + 3)/7
Solve -2*u**2 + 1014*u + 1016 = 0 for u.
-1, 508
Factor -25*w**5/6 - 7*w**4 - 3*w**3/2 + 4*w**2/3.
-w**2*(w + 1)**2*(25*w - 8)/6
Solve 35*q**5 + 60*q**4 + 15*q**3 - 10*q**2 = 0 for q.
-1, 0, 2/7
Let -2*i**5/7 - 26*i**4/7 + 960*i**3/7 + 24400*i**2/7 + 28000*i + 540000/7 = 0. Calculate i.
-10, 27
Factor h**3/9 - 5*h**2/9 + 8*h/9 - 4/9.
(h - 2)**2*(h - 1)/9
Factor 3*z**2 - 357*z + 702.
3*(z - 117)*(z - 2)
Factor 2*l**2/11 + 32*l/11 + 128/11.
2*(l + 8)**2/11
Factor 2*s**2 - 7152*s + 6393888.
2*(s - 1788)**2
Find t, given that t**2/7 + 5*t/7 + 4/7 = 0.
-4, -1
Factor r**2/4 + 137*r/2.
r*(r + 274)/4
Find p, given that 2*p**3/5 + 4*p**2/5 - 8*p/5 - 16/5 = 0.
-2, 2
Let -q**4/3 - 4*q**3/3 - 4*q**2/3 = 0. What is q?
-2, 0
Factor 5*u**3 + 35*u**2 - 105*u - 135.
5*(u - 3)*(u + 1)*(u + 9)
Find h such that -25*h**5/6 - 355*h**4/6 - 379*h**3/6 + 155*h**2/6 + 76*h/3 - 26/3 = 0.
-13, -1, 2/5
Factor -a**2 - 251*a + 506.
-(a - 2)*(a + 253)
Determine j so that j**2 + 3028*j + 2292196 = 0.
-1514
Determine y, given that -12*y**5 + 2728*y**4 - 148560*y**3 - 735008*y**2 - 1069056*y - 430592 = 0.
-2, -2/3, 116
Factor -b**4 + 3*b**2 + 2*b.
-b*(b - 2)*(b + 1)**2
Let -2*s**4 - 28*s**3 - 72*s**2 - 68*s - 22 = 0. What is s?
-11, -1
Solve 2*f**5 + 12*f**4 - 20*f**3 - 120*f**2 + 18*f + 108 = 0 for f.
-6, -3, -1, 1, 3
Determine y, given that 2*y**3/7 + 32*y**2/7 - 470*y/7 + 1300/7 = 0.
-26, 5
Factor h**4/3 - 10*h**3 - 32*h**2/3 + 10*h + 31/3.
(h - 31)*(h - 1)*(h + 1)**2/3
Factor x**4/3 + 144*x**3.
x**3*(x + 432)/3
Factor -2*h**2/5 + 124*h/5 - 1922/5.
-2*(h - 31)**2/5
Find j such that -2*j**3/5 - 16*j**2/5 + 88*j/5 - 96/5 = 0.
-12, 2
Factor 3*r**3/7 + 27*r**2/7 + 33*r/7 - 9.
3*(r - 1)*(r + 3)*(r + 7)/7
Find o, given that -o**3/4 - 5*o**2 + 21*o/4 = 0.
-21, 0, 1
Solve 3*r**5 - 45*r**4 - 171*r**3 + 141*r**2 + 396*r - 324 = 0.
-3, -2, 1, 18
Find y, given that 9*y**3 - 4095*y**2/2 - 2051*y/2 - 114 = 0.
-1/3, -1/6, 228
Let 3*n**4 - 291*n**3 + 855*n**2 - 849*n + 282 = 0. Calculate n.
1, 94
Determine b so that -84*b**4 - 108*b**3 - 99*b**2/4 - 3*b/4 = 0.
-1, -1/4, -1/28, 0
Determine b, given that b**5/9 + 617*b**4/3 - 3706*b**3/9 + 2*b**2/9 + 1235*b/3 - 1853/9 = 0.
-1853, -1, 1
Factor l**4/2 + 7*l**3/2 - 45*l**2 + 64*l + 112.
(l - 4)**2*(l + 1)*(l + 14)/2
Factor -603*m**2 + 6*m.
-3*m*(201*m - 2)
Find h such that h**2 - 325*h - 326 = 0.
-1, 326
Let -5*t**3 + 245*t - 600 = 0. What is t?
-8, 3, 5
What is b in b**5/2 - 6*b**4 - b**3 + 72*b**2 + b/2 - 66 = 0?
-3, -1, 1, 4, 11
Factor -5*l**3 - 145*l**2 + 470*l - 320.
-5*(l - 2)*(l - 1)*(l + 32)
Let 5*f**3 - 50*f**2 + 55*f + 350 = 0. Calculate f.
-2, 5, 7
Determine m so that 4*m**3 - 384*m**2 + 12288*m - 131072 = 0.
32
Solve -27*k**3 + 939*k**2 - 3138*k - 744 = 0 for k.
-2/9, 4, 31
Find v such that 4*v**5 + 1108*v**4 - 2232*v**3 + 8*v**2 + 2228*v - 1116 = 0.
-279, -1, 1
Let 2*n**3/11 - 8*n**2/11 - 70*n/11 + 300/11 = 0. What is n?
-6, 5
Determine b, given that b**4/9 + 103*b**3/9 + 3152*b**2/9 + 25484*b/9 + 16928/3 = 0.
-46, -8, -3
Factor 4*o**2/3 + 8*o/3 - 32/3.
4*(o - 2)*(o + 4)/3
Suppose l**2/5 - 6*l/5 = 0. What is l?
0, 6
Let -22*j**3 - 24*j**2 - 2*j = 0. What is j?
-1, -1/11, 0
Factor -722*s**3 - 1292*s**2 + 296*s - 16.
-2*(s + 2)*(19*s - 2)**2
Solve -4*w**2 + 5068*w + 5072 = 0 for w.
-1, 1268
Suppose 3*p**2/2 + 69*p = 0. Calculate p.
-46, 0
Factor z**3/2 - 15*z**2/2 + 19*z - 12.
(z - 12)*(z - 2)*(z - 1)/2
Solve -2*d**2/9 + 92*d/9 + 400/9 = 0.
-4, 50
Factor -4*d**5 + 264*d**4 - 992*d**3.
-4*d**3*(d - 62)*(d - 4)
Factor -2*y**2/23 - 14*y/23 - 24/23.
-2*(y + 3)*(y + 4)/23
What is c in 4*c**5 - 156*c**4 + 1588*c**3 - 1140*c**2 - 2888*c = 0?
-1, 0, 2, 19
Let o**4 - 6*o**2 + 8*o - 3 = 0. Calculate o.
-3, 1
Factor 4*j**3 + 644*j**2 + 25596*j - 26244.
4*(j - 1)*(j + 81)**2
Factor c**4/2 - 6*c**3 + 18*c**2.
c**2*(c - 6)**2/2
Solve v**3/7 + 4*v**2/7 - 44*v/7 - 96/7 = 0.
-8, -2, 6
Factor -3*q**2/4 - 2313*q - 1783323.
-3*(q + 1542)**2/4
Factor 2*j**4 + 106*j**3 + 1224*j**2 - 5152*j - 6272.
2*(j - 4)*(j + 1)*(j + 28)**2
Factor 33*v**4 - 570*v**3 + 3132*v**2 - 4536*v - 5184.
3*(v - 6)**3*(11*v + 8)
Determine k so that k**5/9 - 5*k**4/3 - k**3/9 + 515*k**2/9 - 500/9 = 0.
-5, -1, 1, 10
Factor -3*u**2 + 14520*u - 17569200.
-3*(u - 2420)**2
Determine v, given that 2*v**3 + 22*v**2 = 0.
-11, 0
Factor -k**3 - 3*k**2 + k + 3.
-(k - 1)*(k + 1)*(k + 3)
Factor 12*y**5 - 32*y**4 + 28*y**3 - 8*y**2.
4*y**2*(y - 1)**2*(3*y - 2)
Suppose -u**4/2 - 13*u**3/2 - 15*u**2 + 2*u + 20 = 0. Calculate u.
-10, -2, 1
What is a in -2*a**4/7 + 1864*a**3/7 - 578460*a**2/7 + 8511448*a + 60160462/7 = 0?
-1, 311
Find n, given that 2*n**5/9 + 8*n**4/9 + 10*n**3/9 + 4*n**2/9 = 0.
-2, -1, 0
Factor 3*q**3 - 7*q**2/2 - 2*q + 5/2.
(q - 1)**2*(6*q + 5)/2
Let -21*k**3/2 + 19*k**2 - 13*k/2 - 2 = 0. Calculate k.
-4/21, 1
What is h in -5*h**3/4 - 25*h**2/4 - 35*h/4 - 15/4 = 0?
-3, -1
Suppose 4*z**4 + 46*z**3 + 188*z**2 + 320*z + 192 = 0. What is z?
-4, -2, -3/2
Let -2*z**4/11 + 12*z**3/11 + 6*z**2/11 - 32*z/11 - 24/11 = 0. What is z?
-1, 2, 6
What is x in 18*x**2/11 + 10642*x/11 + 2364/11 = 0?
-591, -2/9
Factor -2*f**3/13 - 56*f**2/13 + 120*f/13.
-2*f*(f - 2)*(f + 30)/13
Solve -5*i**2 - 225*i + 230 = 0.
-46, 1
Factor u**3/2 - 3*u**2/2 + 2.
(u - 2)**2*(u + 1)/2
Suppose 5*c**4 - 35*c**3 - 280*c**2 + 660*c = 0. Calculate c.
-6, 0, 2, 11
Solve y**2/2 + 20*y + 200 = 0 for y.
-20
Factor -242*t**3 - 1122*t**2 + 432*t - 40.
-2*(t + 5)*(11*t - 2)**2
Suppose 21*h**4/4 + 55*h**3 + 437*h**2/4 + 85*h/2 + 4 = 0. What is h?
-8, -2, -1/3, -1/7
Determine l so that -2*l**2/3 + 10756*l/3 - 14461442/3 = 0.
2689
Factor 2*x**3/5 - 22*x**2/5 + 48*x/5 + 72/5.
2*(x - 6)**2*(x + 1)/5
Suppose -a**2 - 9*a - 14 = 0. What is a?
-7, -2
Factor 4*t**2 - 392*t - 1632.
4*(t - 102)*(t + 4)
Suppose 13*j**3/5 - 258*j**2/5 + 252*j + 40 = 0. What is j?
-2/13, 10
Factor -29*r**3/7 - 5*r**2 - 6*r/7.
-r*(r + 1)*(29*r + 6)/7
Find l, given that -4*l**5 - 18*l**4 + 188*l**3 - 318*l**2 + 32*l + 120 = 0.
-10, -1/2, 1, 2, 3
Determine x so that x**5 + x**4 = 0.
-1, 0
Solve 2*h**3 + 6*h**2 - 68*h + 96 = 0.
-8, 2, 3
Find y, given that y**3 - 284*y**2 + 20164*y = 0.
0, 142
Let 2*n**2 + 1012*n + 1010 = 0. Calculate n.
-505, -1
Solve 289*w**4 + 6698*w**3 + 42549*w**2 + 43340*w + 12100 = 0 for w.
-11, -10/17
Determine s, given that 4*s**5 - 40*s**4 + 148*s**3 - 256*s**2 + 208*s - 64 = 0.
1, 2, 4
Factor m**5/3 + 20*m**4/3 + 37*m**3/3 + 6*m**2.
m**2*(m + 1)**2*(m + 18)/3
Let -4*d**4 - 212*d**3 - 412*d**2 - 204*d = 0. Calculate d.
-51, -1, 0
Factor -3*c**4 + 2643*c**3 + 3*c**2 - 2643*c.
-3*c*(c - 881)*(c - 1)*(c + 1)
Factor 2*s**2/11 - 2732*s/11 + 932978/11.
2*(s - 683)**2/11
Factor -2*z**2 - 15*z + 63.
-(z - 3)*(2*z + 21)
Factor 4*f**5 + 60*f**4 + 108*f**3 - 972*f**2.
4*f**2*(f - 3)*(f + 9)**2
Find d such that -20*d**2 + 10312*d + 4128 = 0.
-2/5, 516
Let -3*v**5/4 + 921*v**4/4 - 30711*v**3/2 - 708927*v**2/2 - 7811775*v/4 - 6456267/4 = 0. Calculate v.
-9, -1, 163
Factor 2*a**3/3 - 94*a**2/3 - 400*a/3 - 136.
2*(a - 51)*(a + 2)**2/3
Factor -2*s**4 - 6*s**3 + 92*s**2 + 96*s.
-2*s*(s - 6)*(s + 1)*(s + 8)
Suppose h**3 - 2*h**2 - 16*h + 32 = 0. Calculate h.
-4, 2, 4
Let -4*m**3 - 1164*m**2 - 85260*m - 84100 = 0. Calculate m.
-145, -1
Solve 9*k**5/8 - 231*k**4/8 + 1209*k**3/8 - 1281*k**2/8 - 285*k/4 = 0.
-1/3, 0, 2, 5, 19
Factor -3*q**2/8 - 21*q/8 - 15/4.
-3*(q + 2)*(q + 5)/8
Find r such that -11*r**4/3 - 8*r**3 - 5*r**2 - 2*r/3 = 0.
-1, -2/11, 0
Factor 22*t**2 - 728*t + 66.
2*(t - 33)*(11*t - 1)
Factor 3*m**3/4 - 45*m**2/4 - 141*m/2 + 540.
3*(m -