
Solve -2*f**3 + 337*f**2/3 + 343*f/3 = 0.
-1, 0, 343/6
Factor -8*w**2 - 158*w + 40.
-2*(w + 20)*(4*w - 1)
Suppose 4*s**2 - 188*s + 360 = 0. What is s?
2, 45
Find p such that -2*p**5/9 + 40*p**4/9 = 0.
0, 20
Determine k, given that -3*k**5 - 39*k**4 + 156*k**3 + 156*k**2 - 576*k = 0.
-16, -2, 0, 2, 3
Determine u, given that 15*u**5 + 35*u**4 - 30*u**3 - 60*u**2 + 40*u = 0.
-2, 0, 2/3, 1
Find l, given that -2*l**5 + 12*l**4 - 18*l**3 + 8*l**2 = 0.
0, 1, 4
Factor -4*h**3 + 100*h**2 - 608*h + 1088.
-4*(h - 17)*(h - 4)**2
Find p such that 4*p**2/7 + 44*p/7 - 2480/7 = 0.
-31, 20
Suppose -12*j**4/5 + 27*j**3 + 267*j**2/5 + 81*j/5 - 39/5 = 0. Calculate j.
-1, 1/4, 13
Factor -4*g**3 - 496*g**2 - 15376*g.
-4*g*(g + 62)**2
Factor -4*r**2 + 12*r + 112.
-4*(r - 7)*(r + 4)
Find d such that -5*d**3 - 30*d**2 + 80*d = 0.
-8, 0, 2
Find k such that 2*k**2/9 + 124*k/3 - 126 = 0.
-189, 3
Find a such that -a**2/3 + 91*a/3 + 62 = 0.
-2, 93
Factor -2*s**3 - 8*s**2 + 230*s - 700.
-2*(s - 5)**2*(s + 14)
Solve p**5/2 + 53*p**4/2 + 412*p**3 + 1634*p**2 + 2400*p + 1152 = 0 for p.
-24, -2, -1
Factor 2*t**5/13 + 2*t**4/13 - 4*t**3/13 - 4*t**2/13 + 2*t/13 + 2/13.
2*(t - 1)**2*(t + 1)**3/13
Determine z so that -5*z**2 + 60*z - 135 = 0.
3, 9
Factor -c**2/2 - 1106*c + 2214.
-(c - 2)*(c + 2214)/2
Factor -2*u**2/13 - 13288*u/13 - 22071368/13.
-2*(u + 3322)**2/13
Factor -3*o**3 - 12*o**2 + 15*o.
-3*o*(o - 1)*(o + 5)
Suppose t**2/5 + 39*t/5 + 108/5 = 0. What is t?
-36, -3
Find n such that -2*n**2 + 1529*n + 765 = 0.
-1/2, 765
Find g such that -9*g**3 + 210*g**2 - 897*g - 4056 = 0.
-8/3, 13
Determine w, given that -5*w**3 - 85*w**2 + 290*w - 200 = 0.
-20, 1, 2
Factor 45*l**3 - 275*l**2 + 435*l - 45.
5*(l - 3)**2*(9*l - 1)
Factor 6*q**2/11 - 238*q/11 + 980/11.
2*(q - 35)*(3*q - 14)/11
Suppose -2*b**2/5 - 66*b - 320 = 0. What is b?
-160, -5
Factor 2*j**4/9 + 272*j**3/9 - 274*j**2/9.
2*j**2*(j - 1)*(j + 137)/9
Find l such that 2*l**3/5 + 4*l**2 = 0.
-10, 0
Find b such that 2*b**5 + 20*b**4 + 66*b**3 + 80*b**2 + 32*b = 0.
-4, -1, 0
Factor -c**5 + 9*c**4 - 30*c**3 + 44*c**2 - 24*c.
-c*(c - 3)*(c - 2)**3
Factor -21*i**4 + 90*i**3 + 81*i**2 - 30*i.
-3*i*(i - 5)*(i + 1)*(7*i - 2)
Solve 2*r**5 - 4*r**4 + 2*r**3 = 0 for r.
0, 1
Factor -2*d**4 + 50*d**3 - 286*d**2 - 338*d.
-2*d*(d - 13)**2*(d + 1)
Determine i so that 375*i**5 - 325*i**4 - 2440*i**3 - 200*i**2 + 880*i + 240 = 0.
-2, -2/5, 2/3, 3
What is f in f**5 - 2*f**3 + f = 0?
-1, 0, 1
Solve -2*p**4 - 12*p**3 - 22*p**2 - 12*p = 0.
-3, -2, -1, 0
Suppose g**4/4 + 23*g**3/4 + 147*g**2/4 + 229*g/4 + 26 = 0. Calculate g.
-13, -8, -1
Solve c**4/6 + 8*c**3/3 + 29*c**2/6 + 7*c/3 = 0 for c.
-14, -1, 0
Suppose -2*a**5/5 - 34*a**4/5 - 206*a**3/5 - 478*a**2/5 - 16*a + 160 = 0. Calculate a.
-5, -4, 1
Determine d, given that 3*d**4 - 252*d**3 + 5292*d**2 = 0.
0, 42
Factor -14*j**5 - 8*j**4 + 6*j**3.
-2*j**3*(j + 1)*(7*j - 3)
Factor m**4/8 + 23*m**3/8.
m**3*(m + 23)/8
Determine v, given that v**3 + 29*v**2 - 30*v = 0.
-30, 0, 1
Factor -6*l**2/11 - 756*l/11 - 23814/11.
-6*(l + 63)**2/11
Factor -f**3 - 27*f**2 - 92*f.
-f*(f + 4)*(f + 23)
Factor -2*n**5/11 - 414*n**4/11 - 412*n**3/11.
-2*n**3*(n + 1)*(n + 206)/11
Determine z so that -5*z**5 + 220*z**4 + 2520*z**3 + 9440*z**2 + 14960*z + 8640 = 0.
-4, -2, 54
Suppose -2*b**3/5 - 70*b**2 + 706*b/5 - 354/5 = 0. What is b?
-177, 1
Determine k, given that -k**2/12 + 29*k/12 + 35/2 = 0.
-6, 35
Factor 5*h**4 + 43*h**3 + 72*h**2 - 36*h.
h*(h + 3)*(h + 6)*(5*h - 2)
Factor -35*b**4/4 + 5*b**3/2.
-5*b**3*(7*b - 2)/4
Let -2*r**5/3 + 34*r**4/3 - 28*r**3/3 - 64*r**2/3 = 0. Calculate r.
-1, 0, 2, 16
Solve -10*t**4 + 8*t**3 + 94*t**2 + 124*t + 48 = 0 for t.
-6/5, -1, 4
Determine l so that -l**5/2 - 2*l**4 - l**3/2 + 5*l**2 + 2*l - 4 = 0.
-2, 1
Factor 4*f**2 + 2628*f.
4*f*(f + 657)
Find u, given that 15*u**3 - 20*u**2 - 5*u + 10 = 0.
-2/3, 1
Factor -2*w**2/3 + 114*w - 676/3.
-2*(w - 169)*(w - 2)/3
Suppose 4*j**5/9 + 16*j**4/3 - 20*j**3/3 - 104*j**2/9 = 0. What is j?
-13, -1, 0, 2
Let 10*b**3/19 + 236*b**2/19 + 638*b/19 + 412/19 = 0. Calculate b.
-103/5, -2, -1
Find k, given that 5*k**2 - 135*k + 130 = 0.
1, 26
Factor -y**2 + 449*y + 902.
-(y - 451)*(y + 2)
Suppose 5*x**2 + 355*x + 1950 = 0. Calculate x.
-65, -6
Factor -3*y**3 + 45*y**2 - 189*y + 147.
-3*(y - 7)**2*(y - 1)
Let -2*t**4 - 148*t**3/5 - 22*t**2 + 28*t/5 = 0. What is t?
-14, -1, 0, 1/5
Factor 242*w**3/7 + 990*w**2/7 + 864*w/7 + 216/7.
2*(w + 3)*(11*w + 6)**2/7
Factor 2*b**3/9 - 2*b**2/3 - 98*b - 874/9.
2*(b - 23)*(b + 1)*(b + 19)/9
What is r in -r**4 + 41*r**3 - 117*r**2 + 115*r - 38 = 0?
1, 38
Determine r, given that r**4/12 + 7*r**3 + 333*r**2/2 + 819*r + 4563/4 = 0.
-39, -3
Suppose -z**3 + 14*z**2 - 65*z + 100 = 0. What is z?
4, 5
Factor g**3/3 - 7*g**2/3 + 14*g/3 - 8/3.
(g - 4)*(g - 2)*(g - 1)/3
Suppose 52*q**3 + 24*q**2 - 52*q - 24 = 0. What is q?
-1, -6/13, 1
Suppose 3*s**2 + 36*s + 108 = 0. What is s?
-6
Factor -3*f**4/2 + 9*f**3/2 - 9*f**2/2 + 3*f/2.
-3*f*(f - 1)**3/2
Factor -4*a**3/7 + 12*a**2/7 - 8*a/7.
-4*a*(a - 2)*(a - 1)/7
Determine n so that -2*n**4 - 52*n**3 - 224*n**2 - 300*n - 126 = 0.
-21, -3, -1
Determine w, given that -4*w**5/3 - 208*w**4/3 - 3664*w**3/3 - 8320*w**2 - 19200*w = 0.
-20, -6, 0
Find a such that -a**5 - 56*a**4 + 60*a**3 + 166*a**2 - 283*a + 114 = 0.
-57, -2, 1
Solve -32*h**5/5 + 48*h**4 - 514*h**3/5 + 154*h**2/5 + 108*h - 80 = 0 for h.
-1, 5/4, 2, 4
Determine t, given that 5*t**4/3 - 150*t**3 - 620*t**2 - 1880*t/3 = 0.
-2, 0, 94
Factor -3*z**4 + 32*z**3 + 364*z**2 + 608*z - 576.
-(z - 18)*(z + 4)**2*(3*z - 2)
Suppose -2*z**5 + 28*z**4 - 6*z**3 - 468*z**2 - 432*z = 0. What is z?
-3, -1, 0, 6, 12
Let -2*c**4/7 - 2*c**3/7 + 2*c**2/7 + 2*c/7 = 0. Calculate c.
-1, 0, 1
What is r in -2*r**2/19 + 100*r/19 + 102/19 = 0?
-1, 51
Find q such that -5*q**2 + 365*q + 370 = 0.
-1, 74
Factor -2*l**3 - 54*l**2 - 324*l.
-2*l*(l + 9)*(l + 18)
Determine s so that -s**2 - 1488*s - 553536 = 0.
-744
Factor -2*m**3 - 116*m**2 + 246*m + 360.
-2*(m - 3)*(m + 1)*(m + 60)
What is y in y**2/3 - 10*y/3 + 25/3 = 0?
5
Suppose 2*m**3/3 - 26*m/3 - 8 = 0. What is m?
-3, -1, 4
What is n in n**2 - 10072*n + 25361296 = 0?
5036
Factor -2*s**3/3 + 46*s**2 + 400*s + 2464/3.
-2*(s - 77)*(s + 4)**2/3
Factor -2*u**4 - 1424*u**3 + 5738*u**2 + 7160*u.
-2*u*(u - 5)*(u + 1)*(u + 716)
Factor 3*l**2/7 - 72*l/7 - 75/7.
3*(l - 25)*(l + 1)/7
Find t such that 4*t**2/7 + 52*t/7 = 0.
-13, 0
What is h in 2*h**2/17 - 126*h/17 - 1136/17 = 0?
-8, 71
Suppose -f**2/4 - f = 0. Calculate f.
-4, 0
Factor 5*y**5 + 55*y**4 - 190*y**3 - 850*y**2 - 935*y - 325.
5*(y - 5)*(y + 1)**3*(y + 13)
Find a, given that a**2/2 + 13*a/2 - 84 = 0.
-21, 8
What is b in 5*b**4 - 605*b**3 + 19155*b**2 - 49855*b - 69620 = 0?
-1, 4, 59
Solve -40*z**5/3 - 346*z**4/3 + 548*z**3/3 + 62*z**2/3 - 184*z/3 - 40/3 = 0.
-10, -2/5, -1/4, 1
Suppose 20*x**4 + 35*x**3 - 30*x**2 - 35*x + 10 = 0. Calculate x.
-2, -1, 1/4, 1
Factor -r**4 + 2*r**3 + 24*r**2 - 50*r + 25.
-(r - 5)*(r - 1)**2*(r + 5)
Determine b so that -b**2 + 1256*b - 394384 = 0.
628
Factor 2*l**4/11 + 34*l**3/11 - 36*l**2/11.
2*l**2*(l - 1)*(l + 18)/11
Factor -45*f**4 - 35*f**3 + 100*f**2 - 20*f.
-5*f*(f - 1)*(f + 2)*(9*f - 2)
Factor -c**5 - 4*c**4 - 6*c**3 - 4*c**2 - c.
-c*(c + 1)**4
Suppose 1000*x**4 - 3300*x**3 - 1320*x**2 + 784*x + 288 = 0. Calculate x.
-2/5, 1/2, 18/5
Let -2*f**2 + 1696*f - 1694 = 0. What is f?
1, 847
Let -3*t**5 - 36*t**4 - 144*t**3 - 240*t**2 - 144*t = 0. What is t?
-6, -2, 0
Determine h, given that 3*h**3/4 - 45*h**2/2 = 0.
0, 30
Factor -3*c**2 - 306*c - 1176.
-3*(c + 4)*(c + 98)
Factor -5*g**5 - 50*g**4 - 195*g**3 - 370*g**2 - 340*g - 120.
-5*(g + 1)*(g + 2)**3*(g + 3)
Suppose 70*k**5 - 132*k**4 - 234*k**3 - 8*k**2 + 24*k = 0. What is k?
-1, -2/5, 0, 2/7, 3
Factor -3*r**4 - 27*r**3 - 66*r**2 + 96.
-3*(r - 1)*(r + 2)*(r + 4)**2
Factor -3*o**5 + 18*o**3 - 24*o**2 + 9*o.
-3*o*(o - 1)**3*(o + 3)
Factor 3*n**3 - 45*n**2 + 216*n - 324.
3*(n - 6)**2*(n - 3)
Factor -10*d**2/3 - 5*d/3.
-5*d*(2*d + 1)/3
Factor -2*v**4 - 14*v**3 - 26*v**2 + 6*v + 36.
-2*(v - 1)*(v + 2)*(v + 3)**2
Solve -f**3 - 4*f**2 + 21*f = 0 for f.
-7, 0, 3
Let -4*u**2 - 224*u - 2736 = 0. Calculate u.
-38, -18
Determine t, given that 6*t**5 - 81*t**4 - 108*t**3 + 2487*t**2 + 6