i**3/4 + 11*i**2/4 + 7*i = 0. Calculate i.
-7, -4, 0
Factor 2*k**3/13 - 404*k**2/13.
2*k**2*(k - 202)/13
Solve -z**2/2 + 51*z/2 = 0.
0, 51
Find t such that t**2/3 + 5*t - 34/3 = 0.
-17, 2
Factor -2*c**4/5 - 8*c**3 + 88*c**2/5.
-2*c**2*(c - 2)*(c + 22)/5
Find o such that 2*o**5/3 - 4*o**4/3 - 82*o**3/3 - 124*o**2/3 + 80*o/3 + 128/3 = 0.
-4, -2, -1, 1, 8
Factor -2*t**3 + 148*t**2 - 288*t.
-2*t*(t - 72)*(t - 2)
Let -4*f**4/9 - 8*f**3/9 + 76*f**2/9 - 112*f/9 + 16/3 = 0. What is f?
-6, 1, 2
Factor -27*s**2 - 276*s - 60.
-3*(s + 10)*(9*s + 2)
Factor 5*p**2 - 355*p + 350.
5*(p - 70)*(p - 1)
Let -4*a**4 + 8*a**3 + 396*a**2 - 1232*a - 3920 = 0. Calculate a.
-10, -2, 7
Factor -2*b**2 + 52*b - 240.
-2*(b - 20)*(b - 6)
Let -5*l**3 - 1120*l**2 - 4420*l - 4400 = 0. Calculate l.
-220, -2
Factor -q**3/6 - 8*q**2/3 - 5*q/2.
-q*(q + 1)*(q + 15)/6
Solve -7*f**5/6 - 47*f**4/6 + 7*f**3/2 + 47*f**2/6 - 7*f/3 = 0.
-7, -1, 0, 2/7, 1
Let 5*j**3 - 75*j**2 + 70*j = 0. Calculate j.
0, 1, 14
Determine r, given that 6*r**3 - 164*r**2 - 112*r = 0.
-2/3, 0, 28
Let 3*x**2 + 771*x + 6696 = 0. Calculate x.
-248, -9
Let -2*y**4/5 + 2384*y**3/5 - 1065648*y**2/5 + 211708736*y/5 - 15772300832/5 = 0. Calculate y.
298
Factor 7*n**2/2 - 2935*n/2 + 419.
(n - 419)*(7*n - 2)/2
Find n, given that -7*n**5/3 + 11*n**4 - 6*n**3 - 8*n**2/3 = 0.
-2/7, 0, 1, 4
Solve 54*v**3 + 3270*v**2 - 4384*v/3 + 488/3 = 0.
-61, 2/9
Solve -4*f**5 - 124*f**4 - 896*f**3 + 1024*f**2 = 0 for f.
-16, 0, 1
Factor -m**3/5 + 508*m**2/5 - 1012*m/5.
-m*(m - 506)*(m - 2)/5
Find k, given that -k**3/10 + k**2/5 + 39*k/10 + 36/5 = 0.
-3, 8
Determine k, given that -k**5 - 19*k**4 - 64*k**3 + 84*k**2 = 0.
-14, -6, 0, 1
Factor a**4/10 - 41*a**3/10 - a**2/10 + 41*a/10.
a*(a - 41)*(a - 1)*(a + 1)/10
Determine j, given that -5*j**4 + 85*j**3 - 305*j**2 - 585*j + 810 = 0.
-2, 1, 9
Let -x**2/3 + 86*x/3 - 85/3 = 0. Calculate x.
1, 85
Determine c so that -5*c**5 + 35*c**4 + 95*c**3 - 35*c**2 - 90*c = 0.
-2, -1, 0, 1, 9
Solve -2*t**5 - 32*t**4/3 - 34*t**3/3 - 8*t**2/3 = 0 for t.
-4, -1, -1/3, 0
Factor -2*a**3/3 + 2*a**2/3 + 16*a/3 - 8.
-2*(a - 2)**2*(a + 3)/3
Factor -45*c**2 + 1780*c + 800.
-5*(c - 40)*(9*c + 4)
Factor -x**3/10 + 33*x**2/5 + 68*x/5.
-x*(x - 68)*(x + 2)/10
Let 2*c**2/3 + 46*c/3 - 72 = 0. What is c?
-27, 4
Find u, given that 6*u**4 - 802*u**3 + 26666*u**2 + 8978*u = 0.
-1/3, 0, 67
Determine y, given that 5*y**5 + 695*y**4 - 4350*y**3 = 0.
-145, 0, 6
Find k such that -k**5/2 + 7*k**4 + 207*k**3/2 + 374*k**2 + 518*k + 240 = 0.
-5, -2, -1, 24
Solve 483*u**2 - 1935*u + 12 = 0.
1/161, 4
Solve 2*u**4/5 + 8*u**3/5 - 2*u**2 = 0 for u.
-5, 0, 1
Suppose 2*y**5/19 - 2*y**4/19 - 22*y**3/19 - 14*y**2/19 + 20*y/19 + 16/19 = 0. Calculate y.
-2, -1, 1, 4
Find k such that k**4/6 - 13*k**3/3 - 55*k**2/6 - 14*k/3 = 0.
-1, 0, 28
Factor o**4/4 + 15*o**3/4 + 63*o**2/4 + 85*o/4 + 9.
(o + 1)**2*(o + 4)*(o + 9)/4
Let -k**5/3 - 28*k**4/3 - 278*k**3/3 - 1124*k**2/3 - 507*k - 216 = 0. What is k?
-9, -8, -1
Let -5*a**4 + 160*a**3 - 295*a**2 - 160*a + 300 = 0. What is a?
-1, 1, 2, 30
Factor 74*r**3/5 + 8284*r**2/5 + 231616*r/5 - 12544/5.
2*(r + 56)**2*(37*r - 2)/5
Suppose 4*r**5 - 36*r**4 + 120*r**3 - 176*r**2 + 96*r = 0. What is r?
0, 2, 3
Factor 2*g**4 - 962*g**3 + 152604*g**2 - 7715736*g - 42515280.
2*(g - 162)**3*(g + 5)
Suppose -3*v**3 + 81*v**2 - 216*v = 0. What is v?
0, 3, 24
Let -3*g**5/2 - 129*g**4/2 - 69*g**3 + 12585*g**2 - 167475*g/2 + 315375/2 = 0. Calculate g.
-29, 5
Factor 2*z**3/11 - 6*z**2/11 - 36*z/11.
2*z*(z - 6)*(z + 3)/11
Find q such that 3*q**5/4 - 57*q**4/4 + 99*q**3/4 + 57*q**2/4 - 51*q/2 = 0.
-1, 0, 1, 2, 17
Factor 50*n**5/9 + 20*n**4/3 - 22*n**3/9 - 8*n**2/3 + 8*n/9.
2*n*(n + 1)**2*(5*n - 2)**2/9
Let -l**2/5 + 49*l/5 = 0. Calculate l.
0, 49
Factor -2*n**3 - 304*n**2 + 2226*n.
-2*n*(n - 7)*(n + 159)
Factor -25*w**3 - 2565*w**2 - 1520*w + 1020.
-5*(w + 1)*(w + 102)*(5*w - 2)
Factor -g**5/5 + 19*g**4/5 - 18*g**3/5.
-g**3*(g - 18)*(g - 1)/5
Suppose 2*t**2/5 - 256*t/5 + 8192/5 = 0. Calculate t.
64
Find n, given that -2*n**4/5 - 14*n**3/5 - 34*n**2/5 - 34*n/5 - 12/5 = 0.
-3, -2, -1
Determine b, given that 7*b**3/2 - 40*b**2 + 103*b/2 - 15 = 0.
3/7, 1, 10
Find w such that -2*w**5 - 8*w**4 - 4*w**3 + 8*w**2 + 6*w = 0.
-3, -1, 0, 1
Let -3*o**4 + 168*o**3 - 459*o**2 - 978*o + 1272 = 0. What is o?
-2, 1, 4, 53
Suppose -5*n**4 + 49*n**3 - 569*n**2/5 - 37*n + 30 = 0. Calculate n.
-3/5, 2/5, 5
Factor -u**3 - 182*u**2 + 553*u - 370.
-(u - 2)*(u - 1)*(u + 185)
Find h such that 2*h**4/3 - 4*h**3/3 - 38*h**2/3 - 56*h/3 - 8 = 0.
-2, -1, 6
Let p**5/4 - 13*p**4/4 - 31*p**3/4 + 13*p**2/4 + 15*p/2 = 0. What is p?
-2, -1, 0, 1, 15
What is r in 10*r**3 + 62*r**2 - 1338*r - 270 = 0?
-15, -1/5, 9
Determine z so that 2*z**4/3 - 28*z**3 + 154*z**2/3 + 80*z = 0.
-1, 0, 3, 40
Factor -5*d**4 - 35*d**3 + 265*d**2 - 405*d + 180.
-5*(d - 3)*(d - 1)**2*(d + 12)
Find y, given that 5*y**5 - 30*y**4 - 15*y**3 + 100*y**2 - 60*y = 0.
-2, 0, 1, 6
Suppose m**3/6 - m**2/3 - 13*m/2 - 12 = 0. What is m?
-3, 8
Factor -x**4/5 - 24*x**3/5 + 107*x**2/5 - 138*x/5 + 56/5.
-(x - 2)*(x - 1)**2*(x + 28)/5
Determine j, given that 605*j**3 - 3080*j**2 - 9500*j + 50000 = 0.
-4, 50/11
Factor 4*a**5 + 84*a**4 - 184*a**3 + 8*a**2 + 180*a - 92.
4*(a - 1)**3*(a + 1)*(a + 23)
Factor 640*u**3 - 9440*u**2 + 2330*u - 145.
5*(2*u - 29)*(8*u - 1)**2
Factor x**3 + 13*x**2 + 39*x + 27.
(x + 1)*(x + 3)*(x + 9)
Factor y**4/4 - 9*y**3/4 - 15*y**2/4 + 325*y/4 - 375/2.
(y - 5)**3*(y + 6)/4
Let 4*i**2 - 4824*i + 1454436 = 0. What is i?
603
Determine x, given that 10*x**2 - 196*x - 678 = 0.
-3, 113/5
Factor 3*m**4/5 - 63*m**3/5 + 30*m**2 + 216*m/5.
3*m*(m - 18)*(m - 4)*(m + 1)/5
Factor p**2 - 538*p - 1080.
(p - 540)*(p + 2)
Suppose 3*h**5/7 + 318*h**4/7 + 9603*h**3/7 + 8904*h**2 + 16464*h = 0. What is h?
-49, -4, 0
Factor 3*f**3 + 87*f**2 + 84*f.
3*f*(f + 1)*(f + 28)
Find o, given that -4*o**3/3 + 28*o**2/3 + 144*o + 240 = 0.
-6, -2, 15
Find l, given that 2*l**2/5 - 26*l/5 + 16 = 0.
5, 8
What is q in 4*q**3/5 - 119*q**2/5 + 86*q/5 + 29/5 = 0?
-1/4, 1, 29
Let -2*k**4/5 + 18*k**3/5 - 14*k**2/5 - 18*k - 56/5 = 0. Calculate k.
-1, 4, 7
Solve 2*b**5/9 - 2*b**4/3 - 2*b**3/9 + 2*b**2/3 = 0 for b.
-1, 0, 1, 3
Factor -6050*d**2 - 440*d - 8.
-2*(55*d + 2)**2
Factor -5*i**2 + 310*i - 4805.
-5*(i - 31)**2
Factor q**4 - 5*q**3/2 - 23*q**2/2 - 5*q.
q*(q - 5)*(q + 2)*(2*q + 1)/2
Factor -3*v**4 + 339*v**3 - 11439*v**2 + 55473*v + 2067630.
-3*(v - 41)**3*(v + 10)
Let 2*k**5/3 - 38*k**4/3 - 2*k**3/3 + 38*k**2/3 = 0. What is k?
-1, 0, 1, 19
What is u in -5*u**4 + 300*u**3 + 615*u**2 + 310*u = 0?
-1, 0, 62
Factor 6*g**3/5 - 6*g**2/5 - 6*g/5 + 6/5.
6*(g - 1)**2*(g + 1)/5
Factor -3*t**2 - 21*t - 18.
-3*(t + 1)*(t + 6)
Factor -t**5/9 - 16*t**4/9 - 64*t**3/9 - 106*t**2/9 - 79*t/9 - 22/9.
-(t + 1)**3*(t + 2)*(t + 11)/9
Suppose x**3 - 153*x**2 + 1032*x - 1460 = 0. What is x?
2, 5, 146
Factor -2645*s**2 + 4140*s - 1620.
-5*(23*s - 18)**2
Suppose 3*x**3 - 48*x**2 + 153*x - 108 = 0. Calculate x.
1, 3, 12
Factor -2*m**4 - 92*m**3 - 486*m**2 + 2340*m.
-2*m*(m - 3)*(m + 10)*(m + 39)
Factor -5*p**4/4 + 25*p**3/2 - 30*p**2.
-5*p**2*(p - 6)*(p - 4)/4
Solve -4*z**5/5 + 72*z**4/5 - 168*z**3/5 - 224*z**2/5 + 684*z/5 - 72 = 0.
-2, 1, 3, 15
Solve -3*g**3/5 + 231*g**2/5 - 5913*g/5 + 50301/5 = 0.
23, 27
Suppose -2*z**4/17 - 6*z**3/17 + 4*z**2/17 + 24*z/17 + 16/17 = 0. Calculate z.
-2, -1, 2
Determine q so that q**5/7 + 17*q**4/7 - 110*q**3/7 - 1350*q**2/7 + 10125*q/7 - 16875/7 = 0.
-15, 3, 5
Factor p**2/2 + 89*p/2 + 44.
(p + 1)*(p + 88)/2
Find c, given that 3*c**4/4 + 43*c**3 - 29*c**2 = 0.
-58, 0, 2/3
Factor -5*t**3 - 155*t**2 - 1275*t - 1125.
-5*(t + 1)*(t + 15)**2
Factor -6*r**4 - 68*r**3 - 168*r**2 + 144*r.
-2*r*(r + 6)**2*(3*r - 2)
Suppose -f**2 - 976*f - 238144 = 0. Calculate f.
-488
Factor -h**2 + 5*h + 150.
-(h - 15)*(h + 10)
Factor 3*r**3/5 - 1044*r**2/5 + 2043*r - 5070.
3*(r - 338)*(r - 5)**2/5
Factor 2*m**3/7 - 8*m**2/7.
2*m**2*(m - 4)/7
Suppose -3*c**3/2 - 273*c**2/2 + 141*c + 276 = 0. Calculate c.
-92, -1, 2
Solve 2*r**2/15 - 94*r/15 + 92/15 = 0.
1, 46
Let -p**2 + 353*p = 0. Calculate p.
0, 353
Solve -9*s**3/7 - 3558*s**2 + 16608*s/7 = 0 for s.
-2768, 0, 2/3
Solve 2*s**4/3 + 58*s**3/3 - 20*s**2 = 0.
-30, 0, 1
Factor 12*h**3