 j.
-444, -1/2, 1/4, 2
Factor -7*k**2/3 + 11*k + 10/3.
-(k - 5)*(7*k + 2)/3
Factor -9*z**3/5 - 96*z**2/5 - 219*z/5 + 84/5.
-3*(z + 4)*(z + 7)*(3*z - 1)/5
Factor 2*c**2/7 - 50*c - 352/7.
2*(c - 176)*(c + 1)/7
Suppose -13*q**2 - 57*q + 70 = 0. Calculate q.
-70/13, 1
Determine s, given that -s**4/2 + 13*s**3/2 + 15*s**2 - 122*s + 140 = 0.
-5, 2, 14
Factor -6*j**2/11 + 16*j/11 + 70/11.
-2*(j - 5)*(3*j + 7)/11
Factor 3*c**3 - 54*c**2 + 288*c - 384.
3*(c - 8)**2*(c - 2)
Let -64*h**4 + 480*h**3 - 1188*h**2 + 1080*h - 324 = 0. What is h?
3/4, 3
Suppose 3*v**2/5 - 444*v/5 + 16428/5 = 0. Calculate v.
74
Factor -a**2 + 4*a - 4.
-(a - 2)**2
Factor 4*n**3 - 472*n**2 - 3476*n - 3000.
4*(n - 125)*(n + 1)*(n + 6)
Find k such that -4*k**4 - 48*k**3 - 36*k**2 + 88*k = 0.
-11, -2, 0, 1
Find n such that -3*n**4 - 105*n**3 - 636*n**2 - 1380*n - 1008 = 0.
-28, -3, -2
Factor 5*a**3/3 + 80*a**2/3 - 5*a/3 - 80/3.
5*(a - 1)*(a + 1)*(a + 16)/3
Solve 39*v**3 + 60*v**2 - 153*v + 54 = 0.
-3, 6/13, 1
Factor c**4/2 + 21*c**3 + 194*c**2 - 660*c - 1936.
(c - 4)*(c + 2)*(c + 22)**2/2
Factor o**3/5 - o**2/5 - 9*o/5 + 9/5.
(o - 3)*(o - 1)*(o + 3)/5
Factor 2*h**5 - 132*h**4 + 2978*h**3 - 26400*h**2 + 80000*h.
2*h*(h - 25)**2*(h - 8)**2
Factor 4*d**2/3 - 1256*d + 295788.
4*(d - 471)**2/3
Find w such that -5*w**4 + 445*w**3 - 875*w**2 + 435*w = 0.
0, 1, 87
Factor s**4/4 - 7*s**3/2 - 31*s**2/4 - 4*s.
s*(s - 16)*(s + 1)**2/4
Determine v, given that 2*v**3 + 458*v**2/7 + 316*v/7 - 128/7 = 0.
-32, -1, 2/7
Factor g**5 + 37*g**4 + 360*g**3 + 324*g**2.
g**2*(g + 1)*(g + 18)**2
Determine o, given that -o**4/3 + 14*o**3/3 - 49*o**2/3 + 12*o = 0.
0, 1, 4, 9
Suppose n**3/6 - 35*n**2/6 + 79*n/3 + 232/3 = 0. Calculate n.
-2, 8, 29
Factor k**3/3 + 2*k**2/3 - 41*k/3 - 14.
(k - 6)*(k + 1)*(k + 7)/3
Let -2*o**4/7 - 2*o**3 + 80*o**2/7 - 88*o/7 = 0. Calculate o.
-11, 0, 2
Determine s so that -9*s**5 - 39*s**4 - 39*s**3 - 9*s**2 = 0.
-3, -1, -1/3, 0
Solve -r**2/2 - 175*r = 0 for r.
-350, 0
Let -5*s**5 - 5*s**4 + 75*s**3 - 115*s**2 + 50*s = 0. Calculate s.
-5, 0, 1, 2
Let -2*a**3/5 - 8*a**2/5 + 2*a/5 + 8/5 = 0. Calculate a.
-4, -1, 1
Solve -6*g**4/7 - 96*g**3/7 - 162*g**2/7 + 2040*g/7 + 2112/7 = 0.
-11, -8, -1, 4
Factor -j**4 + 308*j**3 - 23715*j**2 - 308*j + 23716.
-(j - 154)**2*(j - 1)*(j + 1)
Find g, given that -4*g**3 + 28*g**2 - 24*g = 0.
0, 1, 6
Let -5*m**4 + 100*m**3 - 270*m**2 + 260*m - 85 = 0. Calculate m.
1, 17
Factor -3*t**3 + 288*t**2 - 7452*t + 25392.
-3*(t - 46)**2*(t - 4)
Solve u**5/4 + 16*u**4 + 30*u**3 - 125*u**2/2 - 121*u/4 + 93/2 = 0.
-62, -3, -1, 1
Factor -2*t**2/5 + 190*t + 2868/5.
-2*(t - 478)*(t + 3)/5
Let -5*t**2 + 15*t = 0. Calculate t.
0, 3
Find o, given that 3*o**2/4 + 3780*o + 4762800 = 0.
-2520
Let 25*s**3 + 180*s**2 + 215*s - 300 = 0. What is s?
-5, -3, 4/5
Factor -r**3/4 + 7*r**2/4 - 15*r/4 + 9/4.
-(r - 3)**2*(r - 1)/4
Solve -4*m**3/11 + 2*m**2/11 + 4*m/11 - 2/11 = 0 for m.
-1, 1/2, 1
Factor 2*h**4/17 + 6*h**3/17 - 2*h**2/17 - 6*h/17.
2*h*(h - 1)*(h + 1)*(h + 3)/17
Solve -3*h**3 - 60*h**2 + 873*h - 810 = 0.
-30, 1, 9
Factor 5*f**4/6 + 145*f**3/6 + 325*f**2/2 - 375*f/2.
5*f*(f - 1)*(f + 15)**2/6
Factor 5*y**3 + 245*y**2 - 510*y.
5*y*(y - 2)*(y + 51)
Factor -2*f**2 - 64*f - 270.
-2*(f + 5)*(f + 27)
What is z in -4*z**4/3 + 4*z**3/3 + 92*z**2/3 + 52*z + 24 = 0?
-3, -1, 6
What is b in -20*b**2 - 4584*b + 3680 = 0?
-230, 4/5
Find f such that f**4/4 + f**3/4 - f**2/2 = 0.
-2, 0, 1
Determine d, given that -2*d**4 + 816*d**3/5 - 1286*d**2/5 + 96*d = 0.
0, 3/5, 1, 80
Let 15*r**4 + 395*r**3 + 130*r**2 = 0. Calculate r.
-26, -1/3, 0
Factor 3*w**2 - 36*w + 81.
3*(w - 9)*(w - 3)
Solve 94*z**5 - 82*z**4 - 12*z**3 = 0.
-6/47, 0, 1
Factor -4*z**3/7 + 244*z**2/7 - 3840*z/7 + 3600/7.
-4*(z - 30)**2*(z - 1)/7
Solve -2*a**3 - 96*a**2 - 1098*a + 1196 = 0.
-26, -23, 1
Factor s**2/4 + 26*s + 192.
(s + 8)*(s + 96)/4
Solve -6*j**5/7 + 634*j**4/7 - 1038*j**3/7 - 218*j**2/7 + 1044*j/7 - 416/7 = 0.
-1, 2/3, 1, 104
Factor -2*f**3/5 + 6*f**2/5 + 12*f/5 - 16/5.
-2*(f - 4)*(f - 1)*(f + 2)/5
Solve d**5/3 + 16*d**4 + 182*d**3/3 + 268*d**2/3 + 59*d + 44/3 = 0 for d.
-44, -1
Determine z, given that 2*z**5/13 + 8*z**4/13 + 8*z**3/13 - 4*z**2/13 - 10*z/13 - 4/13 = 0.
-2, -1, 1
Factor g**2 - 40*g - 225.
(g - 45)*(g + 5)
Let 5*m**4 - 10*m**3 - 135*m**2 + 280*m + 400 = 0. What is m?
-5, -1, 4
Let -8*i**4/5 + 23*i**3/5 + 563*i**2/5 - 1082*i/5 - 144/5 = 0. Calculate i.
-8, -1/8, 2, 9
Let -d**2/3 + 347*d/3 + 116 = 0. Calculate d.
-1, 348
Factor f**3 + 13*f**2 + 36*f.
f*(f + 4)*(f + 9)
Factor 4*s**4/7 + 13400*s**3/7 + 11222500*s**2/7.
4*s**2*(s + 1675)**2/7
What is r in 5*r**3 - 90*r**2 + 525*r - 980 = 0?
4, 7
Find t, given that 5*t**4 + 3290*t**3 + 13105*t**2 + 16360*t + 6540 = 0.
-654, -2, -1
Determine z, given that 2*z**3 + 262*z**2 + 7280*z - 88200 = 0.
-70, 9
Factor 2*x**3/7 + 120*x**2/7.
2*x**2*(x + 60)/7
Suppose 5*x**2 + 1150*x + 1145 = 0. What is x?
-229, -1
Solve d**3 + 8*d**2 - 9*d = 0 for d.
-9, 0, 1
Determine n, given that -88*n**5/5 + 1572*n**4/5 + 232*n**3/5 - 288*n**2/5 = 0.
-1/2, 0, 4/11, 18
What is n in 5*n**5/3 - 30*n**4 - 530*n**3/3 - 1000*n**2/3 - 265*n - 230/3 = 0?
-2, -1, 23
Factor 7*a**4 + 40*a**3 + 51*a**2 - 18*a.
a*(a + 3)**2*(7*a - 2)
Factor -2*x**3 - 26*x**2 + 180*x.
-2*x*(x - 5)*(x + 18)
Factor -2*x**5/13 - 44*x**4/13.
-2*x**4*(x + 22)/13
Factor -3*t**5/2 - 201*t**4 - 399*t**3/2.
-3*t**3*(t + 1)*(t + 133)/2
Factor l**2/6 - 17*l/3 + 11/2.
(l - 33)*(l - 1)/6
Determine w so that 2*w**4 + 56*w**3 - 6*w**2 - 164*w + 112 = 0.
-28, -2, 1
Let -r**3/6 - 25*r**2/3 - 286*r/3 + 676/3 = 0. What is r?
-26, 2
Let s**3/5 + s**2 + 2*s/5 - 8/5 = 0. Calculate s.
-4, -2, 1
Find v such that 4*v**3 - 224*v**2 - 304*v + 115520 = 0.
-20, 38
What is t in -t**4 + 166*t**3 + t**2 - 166*t = 0?
-1, 0, 1, 166
Factor 2*f**2/15 - 22*f/5.
2*f*(f - 33)/15
Let -5*f**4 - 250*f**3 - 1500*f**2 + 250*f + 1505 = 0. Calculate f.
-43, -7, -1, 1
Factor 4*b**3 + 176*b**2 + 172*b.
4*b*(b + 1)*(b + 43)
Factor -3*k**2/7 + 777*k - 5436/7.
-3*(k - 1812)*(k - 1)/7
Let -d**5/6 + 6*d**4 - 35*d**3/6 = 0. What is d?
0, 1, 35
Factor 5*f**5 - 30*f**4 - 75*f**3 + 220*f**2 + 420*f.
5*f*(f - 7)*(f - 3)*(f + 2)**2
Factor 5*s**3 - 23235*s**2 + 35991015*s - 18583360745.
5*(s - 1549)**3
Suppose 2*l**4 + 10*l**3 + 8*l**2 = 0. What is l?
-4, -1, 0
Factor 2*n**2/7 - 584*n/7 + 42632/7.
2*(n - 146)**2/7
Let -12*p**4/17 - 14*p**3 + 52*p**2/17 + 14*p - 40/17 = 0. What is p?
-20, -1, 1/6, 1
Let 5*f**2/3 - 7330*f/3 - 2445 = 0. What is f?
-1, 1467
Suppose -3*k**4/8 + 345*k**3/4 - 13167*k**2/2 + 658119*k/4 + 1369599/8 = 0. What is k?
-1, 77
Let -8*c**3/9 - 46*c**2/9 - 52*c/9 + 16/9 = 0. What is c?
-4, -2, 1/4
Factor 3*u**2/8 + 9*u/4 - 21/8.
3*(u - 1)*(u + 7)/8
Factor 2*i**2/7 - 2*i/7 - 24/7.
2*(i - 4)*(i + 3)/7
Suppose -12*s**5 - 1308*s**4 - 47955*s**3 - 606852*s**2 - 571536*s - 139968 = 0. Calculate s.
-36, -1/2
Solve 5*t**4 - 175*t**3 + 640*t**2 + 3220*t + 2400 = 0.
-2, -1, 8, 30
Solve 4*d**2 + 18324*d - 36664 = 0 for d.
-4583, 2
Suppose 2*b**5/7 - 46*b**4/7 + 382*b**3/7 - 1394*b**2/7 + 2208*b/7 - 1152/7 = 0. Calculate b.
1, 3, 8
Factor b**2/3 - 1406*b/3 + 1405/3.
(b - 1405)*(b - 1)/3
Determine l so that -2*l**5 - 6*l**4 + 2*l**3 + 14*l**2 - 8 = 0.
-2, -1, 1
Solve -8*a**3/3 - 202*a**2 + 1400*a/3 - 104 = 0 for a.
-78, 1/4, 2
Factor -588*i**2 + 84*i - 3.
-3*(14*i - 1)**2
Factor 5*m**4 - 10*m**3 - 45*m**2 + 90*m.
5*m*(m - 3)*(m - 2)*(m + 3)
Factor 5*m**3 + 30*m**2 - 320*m + 480.
5*(m - 4)*(m - 2)*(m + 12)
Factor -3*o**3/2 + 615*o**2/2 + 309*o.
-3*o*(o - 206)*(o + 1)/2
Factor a**3 - 14*a**2 + 49*a.
a*(a - 7)**2
Factor 3*f**4/7 - 36*f**3/7 + 108*f**2/7.
3*f**2*(f - 6)**2/7
Factor -4*n**3/9 - 5*n**2/9 + 7*n/9 + 2/9.
-(n - 1)*(n + 2)*(4*n + 1)/9
Factor -w**4 - 81*w**3 + 2482*w**2 - 17664*w + 15264.
-(w - 12)**2*(w - 1)*(w + 106)
Let -2*n**5/17 - 8*n**4 - 1874*n**3/17 + 14668*n**2/17 - 31672*n/17 + 21904/17 = 0. Calculate n.
-37, 2
Let 4*s**3 - 164*s**2 - 340*s - 172 = 0. What is s?
-1, 43
Factor 45*d**3 + 65*d**2 - 50*d.
5*d*(d + 2)*(9*d - 5)
Factor 3*k**2/4 + 195*k.
3*k*(k + 260)/4
Factor 68921*k**3 + 10086*k**2 + 492*k + 8.
(41*k + 2)**3
Factor -u**3/4 + 18*u**2 + 37*u.
-u*(u - 74)*(u + 2)/4
Find j, given that -5*j**2 + 75*j + 170 = 0.
-2, 17
What is g in -27*