ate c.
-1, 0, 89
Factor l**5/9 + 83*l**4/9 + 1840*l**3/9 + 1600*l**2/3.
l**2*(l + 3)*(l + 40)**2/9
Factor 2*m**3/7 - 4*m**2/7 - 80*m/7 - 128/7.
2*(m - 8)*(m + 2)*(m + 4)/7
Determine l, given that 1431125*l**5 - 232725*l**4 - 926120*l**3 - 263320*l**2 - 8880*l - 80 = 0.
-2/5, -2/107, 1
Factor 4*c**3/5 - 52*c**2/5 - 592*c/5 + 128.
4*(c - 20)*(c - 1)*(c + 8)/5
Suppose 243*j**4 + 1998*j**3 + 5727*j**2 + 6660*j + 2700 = 0. What is j?
-3, -10/9
Factor t**3/7 - 2*t**2/7 - 13*t/7 - 10/7.
(t - 5)*(t + 1)*(t + 2)/7
Find w such that -2*w**4/13 - 2*w**3 - 126*w**2/13 - 270*w/13 - 216/13 = 0.
-4, -3
Solve -3*a**2 + 846*a + 849 = 0.
-1, 283
Factor -2*s**2/15 + 28*s/5 - 304/15.
-2*(s - 38)*(s - 4)/15
Factor 5*k**4 + 25*k**3 + 35*k**2 + 15*k.
5*k*(k + 1)**2*(k + 3)
Factor f**4/2 - 11*f**3/2 + 11*f**2 + 30*f - 36.
(f - 6)**2*(f - 1)*(f + 2)/2
Solve -11*f**3/4 + 302*f**2 - 33055*f/4 - 3025/2 = 0 for f.
-2/11, 55
Factor 2*k**2 - 4*k - 198.
2*(k - 11)*(k + 9)
Suppose -5*f**3/2 - 15*f**2/2 + 225*f/2 - 405/2 = 0. What is f?
-9, 3
Find p such that -4*p**2 + 260*p + 1104 = 0.
-4, 69
Solve -2*b**5/11 + 6*b**4/11 + 524*b**3/11 + 1516*b**2/11 + 1494*b/11 + 494/11 = 0.
-13, -1, 19
Solve -4*h**2/3 + 120*h + 2716/3 = 0.
-7, 97
Determine s, given that 2*s**3/5 + 44*s**2/5 + 38*s/5 - 84/5 = 0.
-21, -2, 1
Factor s**4/6 - 602*s**3/3 + 1797*s**2 - 5382*s + 10755/2.
(s - 1195)*(s - 3)**3/6
Factor 5*l**2 + 205*l - 430.
5*(l - 2)*(l + 43)
Find x such that 119*x**4 - 419*x**3 + 432*x**2 - 148*x + 16 = 0.
4/17, 2/7, 1, 2
Factor -2*c**2 - 26*c + 60.
-2*(c - 2)*(c + 15)
Factor 3*b**5 - 42*b**4 + 147*b**3.
3*b**3*(b - 7)**2
Factor -5*o**3 + 20*o**2 + 20*o - 80.
-5*(o - 4)*(o - 2)*(o + 2)
Factor 18*j**4/13 + 42*j**3 + 704*j**2/13 + 232*j/13.
2*j*(j + 29)*(3*j + 2)**2/13
Suppose 25*h**5 - 110*h**4 + 165*h**3 - 100*h**2 + 20*h = 0. Calculate h.
0, 2/5, 1, 2
What is p in 5*p**3/2 - 5*p**2/2 - 25*p/2 - 15/2 = 0?
-1, 3
Find x, given that -8*x**4 - 4*x**3 + 320*x**2 - 308*x = 0.
-7, 0, 1, 11/2
Factor -g**3 + 60*g**2 - 900*g.
-g*(g - 30)**2
Determine t, given that 6*t**4/11 - 228*t**3/11 + 1926*t**2/11 + 4560*t/11 + 2400/11 = 0.
-1, 20
What is q in 3*q**2 - 60*q - 207 = 0?
-3, 23
Solve -2*a**3/9 + 2*a**2/9 + 20*a/9 + 16/9 = 0.
-2, -1, 4
Factor p**3 + 8*p**2 - 4*p - 32.
(p - 2)*(p + 2)*(p + 8)
Factor -2*p**3 + 82*p**2 - 158*p + 78.
-2*(p - 39)*(p - 1)**2
Find u, given that 4*u**3 + 350*u**2 + 10208*u + 99238 = 0.
-59/2, -29
Solve -2*j**3/9 - 322*j**2/9 + 7810*j/9 - 14762/3 = 0.
-183, 11
Factor -f**4/5 + f**3/5.
-f**3*(f - 1)/5
Find o such that -2*o**4 - 34*o**3 - 98*o**2 + 114*o + 468 = 0.
-13, -3, 2
Factor 3*y**2 - 21*y + 30.
3*(y - 5)*(y - 2)
Let 2*h**3 - 246*h**2 - 498*h - 250 = 0. What is h?
-1, 125
Let 3*g**4/5 - 12*g**3/5 + 9*g**2/5 = 0. Calculate g.
0, 1, 3
Factor 4*y**4/5 - 296*y**3/5 - 604*y**2/5 - 304*y/5.
4*y*(y - 76)*(y + 1)**2/5
Factor -3*w**3/8 + 39*w**2/4 - 207*w/8.
-3*w*(w - 23)*(w - 3)/8
Let -3*s**3 - 222*s**2 - 645*s - 426 = 0. Calculate s.
-71, -2, -1
Suppose -4*i**2 - 796*i + 800 = 0. What is i?
-200, 1
Factor 97*m**2/5 - 94*m/5 - 3/5.
(m - 1)*(97*m + 3)/5
Let 2*q**3 - 158*q**2 - 322*q - 162 = 0. What is q?
-1, 81
Factor -4*q**3/7 - 9636*q**2/7 - 5798460*q/7 + 5808100/7.
-4*(q - 1)*(q + 1205)**2/7
Factor 3*j**2 + 1770*j + 261075.
3*(j + 295)**2
Factor -15*u**4 - 81*u**3 - 90*u**2 - 24*u.
-3*u*(u + 1)*(u + 4)*(5*u + 2)
Factor -2*u**4/5 - 8*u**3 - 38*u**2/5.
-2*u**2*(u + 1)*(u + 19)/5
Determine k so that -2*k**3/13 + 1518*k**2/13 - 384054*k/13 + 32388554/13 = 0.
253
Factor -i**2/9 - 1042*i/9 - 271441/9.
-(i + 521)**2/9
Factor k**2/7 - 5*k - 74/7.
(k - 37)*(k + 2)/7
Solve -2*g**3/9 + 44*g**2/9 - 152*g/9 + 16 = 0.
2, 18
Let -5*g**3 + 20*g**2 + 5*g - 20 = 0. What is g?
-1, 1, 4
Factor 4*u**3 + 20*u**2 + 24*u.
4*u*(u + 2)*(u + 3)
Factor 727609*m**2/4 + 853*m/2 + 1/4.
(853*m + 1)**2/4
Suppose 36*q**3 + 18296*q**2 + 22316*q + 4056 = 0. What is q?
-507, -1, -2/9
Factor -5*i**3/3 - 85*i**2 - 240*i.
-5*i*(i + 3)*(i + 48)/3
Suppose 5*l**4 + 20*l**3 - 225*l**2 = 0. What is l?
-9, 0, 5
Solve -y**4/3 + 35*y**3/3 - 32*y**2 - 4*y/3 + 128/3 = 0.
-1, 2, 32
Factor -2*u**5/13 - 44*u**4/13 + 24*u**3 - 656*u**2/13 + 448*u/13.
-2*u*(u - 2)**3*(u + 28)/13
Factor -2*q**2/3 - 2*q/3 + 4.
-2*(q - 2)*(q + 3)/3
Suppose 5*m**2 + 30*m - 1080 = 0. Calculate m.
-18, 12
Factor 12*h**2/7 + 3057*h/7 - 765/7.
3*(h + 255)*(4*h - 1)/7
Suppose -2*j**2 + 112*j - 846 = 0. Calculate j.
9, 47
Determine t so that -2*t**5 + 12*t**4 - 18*t**3 = 0.
0, 3
Suppose 2*t**5/3 - 16*t**4/3 + 38*t**3/3 - 16*t**2/3 - 40*t/3 + 32/3 = 0. What is t?
-1, 1, 2, 4
Factor 4*c**2 - 84*c.
4*c*(c - 21)
Solve -w**2/6 + 4*w/3 + 14 = 0.
-6, 14
Let -g**2 + 127*g - 2700 = 0. What is g?
27, 100
Factor 2*s**2/5 - 52*s/5 + 10.
2*(s - 25)*(s - 1)/5
Factor -3*w**3 + 756*w**2/5 - 60*w.
-3*w*(w - 50)*(5*w - 2)/5
Determine w, given that -w**3/2 + 1845*w**2/2 - 425964*w + 425042 = 0.
1, 922
Factor 5*q**3 - 280*q**2 + 4625*q - 18750.
5*(q - 25)**2*(q - 6)
Find x, given that 4*x**3 + 1404*x**2 - 1408*x = 0.
-352, 0, 1
Factor -3*z**2 + 10836*z - 9784908.
-3*(z - 1806)**2
Factor 5*w**3 + 550*w**2 + 535*w - 1090.
5*(w - 1)*(w + 2)*(w + 109)
Factor -3*o**2/5 - 609*o/5 + 612/5.
-3*(o - 1)*(o + 204)/5
What is r in 50*r**4 - 205*r**3 + 20*r**2 = 0?
0, 1/10, 4
Factor 4*n**2 - 236*n.
4*n*(n - 59)
Factor 25*g**2/3 + 1940*g/3 + 3040/3.
5*(g + 76)*(5*g + 8)/3
Factor -4*q**4/5 - 96*q**3/5 - 664*q**2/5 - 1056*q/5 - 484/5.
-4*(q + 1)**2*(q + 11)**2/5
Find y such that 6*y**4/5 - 89*y**3/5 - 4*y**2 + 73*y/5 + 6 = 0.
-2/3, -1/2, 1, 15
Factor -3*x**5 + 39*x**4 + 225*x**3 - 891*x**2 - 5994*x - 7776.
-3*(x - 16)*(x - 6)*(x + 3)**3
Solve -2*p**2/13 + 106*p/13 + 1260/13 = 0.
-10, 63
Factor -30*b**2 - 16*b + 14.
-2*(b + 1)*(15*b - 7)
Find k such that -4*k**3 + 8*k**2 + 12*k = 0.
-1, 0, 3
Solve -q**4/4 + 3*q**3/2 - 2*q**2 - 3*q/2 + 9/4 = 0.
-1, 1, 3
Factor -i**2 - 102*i + 208.
-(i - 2)*(i + 104)
Let 3*n**2/5 - 642*n/5 + 504 = 0. What is n?
4, 210
Factor -f**3/4 - 63*f**2/4 - 431*f/4 + 495/4.
-(f - 1)*(f + 9)*(f + 55)/4
Factor -m**4/3 - 11*m**3/3 + 14*m**2.
-m**2*(m - 3)*(m + 14)/3
Find g such that 2*g**3/5 + 118*g**2/5 + 1662*g/5 - 1782/5 = 0.
-33, -27, 1
Factor z**3 + 112*z**2 + 3136*z.
z*(z + 56)**2
Factor 4*r**2/3 + 128*r + 3072.
4*(r + 48)**2/3
Solve -4*j**2/3 + 40*j + 124/3 = 0 for j.
-1, 31
Suppose -3*x**2 + 5898*x + 5901 = 0. Calculate x.
-1, 1967
Solve -2*l**3 + 2*l**2 + 18*l - 18 = 0.
-3, 1, 3
Factor -2*d**5/13 + 2*d**4/13.
-2*d**4*(d - 1)/13
What is j in 3*j**5 + 237*j**4 - 747*j**3 - 705*j**2 + 2688*j - 1476 = 0?
-82, -2, 1, 3
Find b, given that 4*b**3 - 24*b**2 + 44*b - 24 = 0.
1, 2, 3
Determine z so that 2*z**2 + 6*z - 8 = 0.
-4, 1
Suppose -y**4/5 - 6*y**3/5 - 4*y**2/5 + 24*y/5 + 32/5 = 0. What is y?
-4, -2, 2
Determine x so that 2*x**2/5 - 6*x/5 - 56/5 = 0.
-4, 7
Let -5*x**5 - 1065*x**4 - 1060*x**3 = 0. Calculate x.
-212, -1, 0
Let -5*p**4 + 80*p**2 = 0. Calculate p.
-4, 0, 4
Factor 2*q**3 - 740*q**2 - 1488*q.
2*q*(q - 372)*(q + 2)
Suppose 4*y**4 + 108*y**3 + 284*y**2 - 108*y - 288 = 0. Calculate y.
-24, -3, -1, 1
Factor -7*w**3/6 - 23*w**2/6 - 10*w/3 - 2/3.
-(w + 1)*(w + 2)*(7*w + 2)/6
Factor -3*c**2 - 6000*c - 3000000.
-3*(c + 1000)**2
Solve -3*b**2/5 + 9*b/5 + 6 = 0 for b.
-2, 5
Factor 5*a**2 + 45*a - 810.
5*(a - 9)*(a + 18)
Factor 2*b**2 + 44*b + 242.
2*(b + 11)**2
Factor 2*o**4/17 + 42*o**3/17 + 78*o**2/17 + 38*o/17.
2*o*(o + 1)**2*(o + 19)/17
Find v, given that 2*v**2 - 4*v - 6 = 0.
-1, 3
Suppose -5*p**2 + 9050*p - 4095125 = 0. What is p?
905
Factor -4*u**2 - 368*u - 8464.
-4*(u + 46)**2
Factor -d**4 - 6*d**3 + 3*d**2 + 20*d + 12.
-(d - 2)*(d + 1)**2*(d + 6)
Factor -2*i**4/9 + 2*i**3/3 + 2*i**2 + 10*i/9.
-2*i*(i - 5)*(i + 1)**2/9
Let -6*v**4 + 1294*v**3 - 2142*v**2 + 426*v + 428 = 0. Calculate v.
-1/3, 1, 214
Factor 10*b**2/9 + 48266*b/9 - 6436/3.
2*(b + 4827)*(5*b - 2)/9
Suppose 5*z**4 - 70*z**3 + 165*z**2 = 0. What is z?
0, 3, 11
Factor -3*l**4 - 27*l**3 - 78*l**2 - 72*l.
-3*l*(l + 2)*(l + 3)*(l + 4)
Determine l, given that l**5/2 + l**4 - l**3/2 - l**2 = 0.
-2, -1, 0, 1
Factor -4*d**3 - 148*d**2 - 284*d - 140.
-4*(d + 1)**2*(d + 35)
Suppose 34*j**3/3 - 26*j**2/3 - 8*j/3 = 0. What is j?
-4/17, 0, 1
Factor 3*k**3 - 9*k**2.
3*k**2*(k - 3)
Factor 4*j**2 + 32*j