. What is z?
-1, 2, 9
Factor d**5/2 + 7*d**4 - 16*d**3 + d**2 + 31*d/2 - 8.
(d - 1)**3*(d + 1)*(d + 16)/2
Let b**3 + b**2 - b - 1 = 0. Calculate b.
-1, 1
Factor -q**2/5 + 114*q/5.
-q*(q - 114)/5
Suppose b**2/4 - 19*b/2 - 42 = 0. What is b?
-4, 42
Find u, given that -3*u**4/4 + 57*u**3/2 - 321*u**2/4 + 105*u/2 = 0.
0, 1, 2, 35
Factor -2*y**2 - 308*y - 306.
-2*(y + 1)*(y + 153)
Factor -2*r**3/9 - 322*r**2/9 - 13430*r/9 - 12482/3.
-2*(r + 3)*(r + 79)**2/9
Factor -5*h**5 + 20*h**4 - 15*h**3.
-5*h**3*(h - 3)*(h - 1)
Determine l so that l**3/4 - 51*l**2/4 + 73*l/2 - 24 = 0.
1, 2, 48
Suppose -5*r**4 + 110*r**3 - 240*r**2 - 830*r - 475 = 0. What is r?
-1, 5, 19
Find q such that 25*q**5/4 + 745*q**4/2 + 21875*q**3/4 - 5245*q**2/2 - 5475*q + 2250 = 0.
-30, -1, 2/5, 1
What is h in -h**5 - 33*h**4/7 + 115*h**3/7 + 285*h**2/7 - 468*h/7 + 108/7 = 0?
-6, -3, 2/7, 1, 3
Factor -4*h**4/7 - 4016*h**3/7 - 991824*h**2/7 + 8128384*h/7 - 16386304/7.
-4*(h - 4)**2*(h + 506)**2/7
Factor 2*m**3/13 - 292*m**2/13 + 578*m/13 - 288/13.
2*(m - 144)*(m - 1)**2/13
Factor -405*y**2 - 23850*y - 351125.
-5*(9*y + 265)**2
Let -s**2/7 + 15*s/7 + 16/7 = 0. What is s?
-1, 16
Let -2*y**2/7 - 4*y/7 + 16/7 = 0. What is y?
-4, 2
Suppose -l**5/9 - 217*l**4/9 - 1320*l**3 - 1296*l**2 = 0. What is l?
-108, -1, 0
Factor 3*y**3/2 + 267*y**2 - 2727*y/2 + 1647.
3*(y - 3)*(y - 2)*(y + 183)/2
Factor -c**2/12 + 17*c/12 + 14.
-(c - 24)*(c + 7)/12
Let 15*t**5 + 51*t**4 + 18*t**3 - 60*t**2 - 24*t = 0. What is t?
-2, -2/5, 0, 1
Factor 2*p**2/5 - 18*p/5 - 72/5.
2*(p - 12)*(p + 3)/5
Suppose 3*g**2/5 + 177*g/5 - 36 = 0. Calculate g.
-60, 1
Factor l**5 + l**4 - 9*l**3 - 5*l**2 + 16*l + 12.
(l - 2)**2*(l + 1)**2*(l + 3)
Let 3*u**2/2 + 15*u + 27/2 = 0. Calculate u.
-9, -1
Factor -3*y**2/7 - 60*y/7 - 57/7.
-3*(y + 1)*(y + 19)/7
Factor 699380*z**2 - 11220*z + 45.
5*(374*z - 3)**2
Let 3*y**5/5 - 12*y**4/5 - 6*y**3 + 192*y**2/5 - 261*y/5 + 108/5 = 0. What is y?
-4, 1, 3
Suppose -3*o**4 - 6*o**3 + 15*o**2 + 18*o = 0. Calculate o.
-3, -1, 0, 2
Let -z**4/4 - 3*z**3 + z**2 + 12*z = 0. Calculate z.
-12, -2, 0, 2
Solve 3*g**4 - 105*g**3 - 591*g**2 - 387*g + 1080 = 0.
-3, 1, 40
Factor 5*x**4 + 12*x**3 + 9*x**2 + 2*x.
x*(x + 1)**2*(5*x + 2)
What is z in -3*z**2 + 108 = 0?
-6, 6
Suppose 2*z**4/11 - 78*z**3/11 + 290*z**2/11 - 354*z/11 + 140/11 = 0. Calculate z.
1, 2, 35
Suppose 2*l**4/13 - 36*l**2/13 + 162/13 = 0. Calculate l.
-3, 3
Suppose 2*p**2 + 540*p + 36450 = 0. Calculate p.
-135
Factor 5*z**3 - 80*z**2 + 145*z - 70.
5*(z - 14)*(z - 1)**2
Factor -6*l**4/5 + 24*l**2/5.
-6*l**2*(l - 2)*(l + 2)/5
Factor -5*s**2/3 + 305*s/3 + 320.
-5*(s - 64)*(s + 3)/3
Factor 2*n**2/9 + 40*n/9 - 14/3.
2*(n - 1)*(n + 21)/9
What is z in z**5 - 9*z**4 - 53*z**3 + 453*z**2 + 880*z - 4800 = 0?
-5, 3, 8
Find i, given that -2*i**5 - 4*i**4 + 70*i**3 - 184*i**2 + 184*i - 64 = 0.
-8, 1, 2
Factor -2*v**2/3 + 142*v/3 - 136.
-2*(v - 68)*(v - 3)/3
Suppose -2*n**2/7 + 698*n/7 - 1388/7 = 0. Calculate n.
2, 347
Factor -z**4 + 618*z**3 + 1863*z**2.
-z**2*(z - 621)*(z + 3)
Let -2*v**4/5 - 4*v**3/5 + 14*v**2/5 + 8*v + 24/5 = 0. What is v?
-2, -1, 3
Factor -x**5 + 5*x**4 + 6*x**3.
-x**3*(x - 6)*(x + 1)
Determine n, given that 4*n**5 - 153*n**4/5 - 267*n**3/5 + 44*n**2 - 36*n/5 = 0.
-2, 0, 1/4, 2/5, 9
Factor -3*u**2/4 + 235*u/4 + 79/2.
-(u - 79)*(3*u + 2)/4
Factor 2*s**3/9 - 2920*s**2/9 + 11656*s/9 - 11648/9.
2*(s - 1456)*(s - 2)**2/9
Factor -15*y**2/7 - 426*y/7 + 261/7.
-3*(y + 29)*(5*y - 3)/7
Factor 2*a**3 - 138*a**2 + 2958*a - 18502.
2*(a - 29)**2*(a - 11)
Suppose 3*c**3/4 + 363*c**2/2 - 1488*c + 3000 = 0. What is c?
-250, 4
Factor c**2/4 + 85*c/2 + 7225/4.
(c + 85)**2/4
Let d**3/4 + 19*d**2/4 - 137*d/2 + 116 = 0. What is d?
-29, 2, 8
Factor 2*f**3 + 60*f**2 - 66*f - 124.
2*(f - 2)*(f + 1)*(f + 31)
Let 2*l**3/11 + 106*l**2/11 + 104*l/11 = 0. Calculate l.
-52, -1, 0
Solve -3*q**2/8 - 129*q/8 - 123/4 = 0 for q.
-41, -2
Factor w**2/4 + 37*w + 1369.
(w + 74)**2/4
Suppose 4*p**4 + 280*p**3 + 5168*p**2 + 9248*p = 0. What is p?
-34, -2, 0
Factor 2*y**3/5 + 6*y**2/5 - 8*y/5.
2*y*(y - 1)*(y + 4)/5
Factor b**3/4 - b**2 + 3*b/4.
b*(b - 3)*(b - 1)/4
Factor c**2/2 - 63*c - 128.
(c - 128)*(c + 2)/2
Factor -5*t**2 + 44230*t - 97814645.
-5*(t - 4423)**2
Let 10*u**4/3 + 16*u**3/3 - 6*u**2 - 16*u/3 + 8/3 = 0. Calculate u.
-2, -1, 2/5, 1
Factor -32*s**5 + 7080*s**4 - 388950*s**3 - 588745*s**2/2 - 73815*s - 12321/2.
-(s - 111)**2*(4*s + 1)**3/2
Let -6*y**5 + 2146*y**4/3 - 2510*y**3/3 - 10114*y**2/3 - 4024*y/3 + 472 = 0. Calculate y.
-1, 2/9, 3, 118
Suppose -2*p**3 + 127*p**2/2 - 46*p - 31/2 = 0. What is p?
-1/4, 1, 31
Factor 2*r**2/19 + 4*r - 78/19.
2*(r - 1)*(r + 39)/19
Factor 3*z**2 - 126*z - 405.
3*(z - 45)*(z + 3)
Let 3*y**5/4 - 9*y**4 - 45*y**3/4 + 39*y**2/2 = 0. Calculate y.
-2, 0, 1, 13
Factor -c**2/2 - 2*c + 6.
-(c - 2)*(c + 6)/2
Factor -48*h**4 - 5352*h**3 - 147843*h**2 + 74928*h - 9408.
-3*(h + 56)**2*(4*h - 1)**2
Factor v**2 - 30*v + 29.
(v - 29)*(v - 1)
Factor -4*g**3/5 - 664*g**2/5 - 1316*g/5 - 656/5.
-4*(g + 1)**2*(g + 164)/5
Suppose 2*o**2/13 - 1448*o/13 + 262088/13 = 0. What is o?
362
Solve j**3 - 22*j**2 - 48*j = 0 for j.
-2, 0, 24
Let -i**2 - 7360*i - 13542400 = 0. Calculate i.
-3680
Factor -10*r**2 + 805*r + 405.
-5*(r - 81)*(2*r + 1)
Factor 2*d**3/9 + 14*d**2/3 + 16*d + 136/9.
2*(d + 2)**2*(d + 17)/9
Factor u**4/4 + 63*u**3/2 + 125*u**2/4.
u**2*(u + 1)*(u + 125)/4
Factor 3*j**2/2 + 207*j/2 + 102.
3*(j + 1)*(j + 68)/2
Let 2*i**4 - 2656*i**3/7 - 760*i**2/7 = 0. Calculate i.
-2/7, 0, 190
Suppose 2*p**5 - 10*p**3 + 8*p = 0. Calculate p.
-2, -1, 0, 1, 2
Factor 2*v**2/13 - 612*v/13 + 46818/13.
2*(v - 153)**2/13
Factor -g**2 - 92*g - 435.
-(g + 5)*(g + 87)
Solve q**3/5 + 347*q**2/5 + 1034*q/5 + 688/5 = 0.
-344, -2, -1
Find u such that 81*u**5 - 117*u**4 - 137*u**3 + 247*u**2/3 + 68*u/3 + 4/3 = 0.
-1, -1/9, 2/3, 2
Determine t so that 357*t**3/2 - 501*t**2/2 + 78*t - 6 = 0.
2/17, 2/7, 1
Factor 3*f**2 - 33*f + 30.
3*(f - 10)*(f - 1)
Determine f, given that 15*f**5 + 10*f**4 - 95*f**3 - 30*f**2 + 140*f - 40 = 0.
-2, 1/3, 1, 2
Factor 4*o**2 - 96*o - 448.
4*(o - 28)*(o + 4)
Solve 2*m**5/3 + 8*m**4 + 38*m**3/3 - 8*m**2 - 40*m/3 = 0.
-10, -2, -1, 0, 1
Factor 2*b**3 + 54*b**2 - 2*b - 54.
2*(b - 1)*(b + 1)*(b + 27)
Solve -2*u**4/7 + 74*u**3/7 - 786*u**2/7 + 1870*u/7 - 1156/7 = 0.
1, 2, 17
Factor -22*a**3/5 - 524*a**2/5 - 3072*a/5 + 576/5.
-2*(a + 12)**2*(11*a - 2)/5
Solve -2*z**2/9 - 2848*z/9 - 1013888/9 = 0.
-712
Solve 2*f**2/5 - 34*f - 172/5 = 0.
-1, 86
Factor 3*i**3/2 - 27*i**2/2.
3*i**2*(i - 9)/2
Factor -4*r**3 + 56*r**2 + 68*r - 120.
-4*(r - 15)*(r - 1)*(r + 2)
Determine u, given that u**5/6 - 43*u**4/6 - 45*u**3/2 - 137*u**2/6 - 23*u/3 = 0.
-1, 0, 46
Factor -1250*s**4/9 - 5000*s**3/9 - 700*s**2 - 1960*s/9 + 686/9.
-2*(5*s - 1)*(5*s + 7)**3/9
Solve 2*g**2/7 - 848*g/7 + 89888/7 = 0 for g.
212
Factor -3*c**3 + 48*c**2 + 105*c + 54.
-3*(c - 18)*(c + 1)**2
Let 2*l**3/3 - 50*l**2/3 + 16*l = 0. Calculate l.
0, 1, 24
Solve -n**2 - 254*n + 255 = 0 for n.
-255, 1
Find y such that 5*y**2 - 205*y + 2090 = 0.
19, 22
Suppose 80*l**4 + 360*l**3 + 525*l**2 + 245*l = 0. Calculate l.
-7/4, -1, 0
Factor x**4/2 + 5*x**3/3 + 7*x**2/6 - 2*x/3 - 2/3.
(x + 1)**2*(x + 2)*(3*x - 2)/6
Factor 2*s**3/13 - 6*s**2/13.
2*s**2*(s - 3)/13
Factor -2*l**2/13 - 7450*l/13 - 7448/13.
-2*(l + 1)*(l + 3724)/13
Let 2*z**3 + 20*z**2 - 26*z - 44 = 0. What is z?
-11, -1, 2
Find v such that 2*v**4/5 + 6*v**3/5 - 8*v**2/5 = 0.
-4, 0, 1
Factor -x**4/12 - x**3/4 + 9*x**2/2.
-x**2*(x - 6)*(x + 9)/12
Let 76*k**3 - 676*k**2 - 72*k = 0. Calculate k.
-2/19, 0, 9
Find u, given that u**4/2 + 37*u**3 + 1025*u**2/2 - 6724*u = 0.
-41, 0, 8
Suppose 5*p**5 - 35*p**4 + 25*p**3 + 155*p**2 - 150*p = 0. Calculate p.
-2, 0, 1, 3, 5
Determine m, given that -6*m**2/5 - 188*m/5 - 62/5 = 0.
-31, -1/3
Find v, given that v**2/5 + 238*v + 70805 = 0.
-595
Factor -5*i**4 + 5*i**3 + 35*i**2 - 65*i + 30.
-5*(i - 2)*(i - 1)**2*(i + 3)
Solve 5*j**3 - 135*j**2 + 255*j - 125 = 0.
1, 25
What is b in -b**3/3 + b**2 - 4/3 = 0?
-1, 2
Factor v**3/3 + 7*v**2 + 18*v.
v*(v + 3)*(v + 18)/3
Solve -3*p**5 + 8*p**4 + 8*p**3 - 14*p**2 - 5*p + 6 = 0.
-1, 2/3, 1, 3
Let -45*r**5 + 57*r**4 + 15*r**3 - 21*r**2 - 6*r = 0. Calculate r.
-2/5, -1/3, 0, 1
Facto