-1, -4/111
Suppose -r**5/7 - r**4/7 + 3*r**3/7 + r**2/7 - 2*r/7 = 0. What is r?
-2, -1, 0, 1
Factor -k**5/2 - 3*k**4/2 + 3*k**3 + 13*k**2 + 27*k/2 + 9/2.
-(k - 3)*(k + 1)**3*(k + 3)/2
Suppose n**2 + 37*n + 132 = 0. Calculate n.
-33, -4
Factor 3*v**2/2 + 318*v + 16854.
3*(v + 106)**2/2
Let s**3/3 - 22*s**2/3 + 41*s/3 - 20/3 = 0. What is s?
1, 20
Factor 51*n**2/4 - 105*n/2 + 54.
3*(n - 2)*(17*n - 36)/4
Factor 2*y**4/3 + 8*y**3 + 14*y**2 + 20*y/3.
2*y*(y + 1)**2*(y + 10)/3
Determine p, given that 42*p**5 - 51*p**4 - 60*p**3 - 12*p**2 = 0.
-1/2, -2/7, 0, 2
Let -14*q**2/3 - 65*q/3 - 17 = 0. What is q?
-51/14, -1
What is m in -12*m**5 - 208*m**4 - 564*m**3 - 32*m**2 + 336*m = 0?
-14, -3, -1, 0, 2/3
What is r in 2*r**3/7 + 38*r**2 + 780*r/7 = 0?
-130, -3, 0
Suppose m**4/4 - 5*m**3/2 + 9*m**2/4 = 0. Calculate m.
0, 1, 9
Let -4*q**2 + 192*q = 0. What is q?
0, 48
Let 5*c**2 + 530*c - 1635 = 0. What is c?
-109, 3
Find c, given that 8*c**3/7 + 46*c**2/7 - 12*c/7 = 0.
-6, 0, 1/4
What is i in i**2/8 + 5*i/8 + 1/2 = 0?
-4, -1
Determine m so that -2*m**3 + 118*m**2 + 144*m - 1440 = 0.
-4, 3, 60
What is o in -o**2/3 + 475*o/3 = 0?
0, 475
Suppose l**3/3 + 2*l**2/3 - 8*l/3 = 0. Calculate l.
-4, 0, 2
What is r in 45*r**5 + 505*r**4 + 2000*r**3 + 3480*r**2 + 2480*r + 400 = 0?
-5, -2, -2/9
Factor -2*l**2/5 - 18*l/5 - 28/5.
-2*(l + 2)*(l + 7)/5
Factor 2*r**5/7 - 8*r**4/7 + 12*r**3/7 - 8*r**2/7 + 2*r/7.
2*r*(r - 1)**4/7
Solve 2*j**4 + 26*j**3 = 0.
-13, 0
Factor 2*n**4/11 + 172*n**3/11 + 664*n**2/11 + 656*n/11.
2*n*(n + 2)**2*(n + 82)/11
What is p in -15*p**5 - 87*p**4 - 195*p**3 - 213*p**2 - 114*p - 24 = 0?
-2, -1, -4/5
Solve z**2/3 + 3*z - 390 = 0 for z.
-39, 30
Factor -2*f**4/3 - 32*f**3/3 - 170*f**2/3 - 100*f.
-2*f*(f + 5)**2*(f + 6)/3
Solve 729*d**5 - 3024*d**4 + 3352*d**3 - 448*d**2 + 16*d = 0.
0, 2/27, 2
Let 3*z**5/2 - 3*z**4/4 - 81*z**3/2 - 243*z**2/4 + 81*z/2 = 0. What is z?
-3, 0, 1/2, 6
Factor -4*f**4 + 12*f**3 + 12*f**2 - 44*f + 24.
-4*(f - 3)*(f - 1)**2*(f + 2)
Determine l, given that 2*l**2 + 74*l + 464 = 0.
-29, -8
Let -h**3/5 + 3*h**2 + 126*h/5 = 0. Calculate h.
-6, 0, 21
Find w, given that w**3 + 280*w**2 - 563*w + 282 = 0.
-282, 1
Determine g, given that -g**4/6 + 5*g**3/3 - 25*g**2/6 = 0.
0, 5
Find j, given that -2*j**5 + 52*j**4 - 504*j**3 + 2156*j**2 - 3430*j = 0.
0, 5, 7
Factor l**5 - 61*l**4 - 6*l**3 + 358*l**2 + 485*l + 183.
(l - 61)*(l - 3)*(l + 1)**3
Factor -2*l**2 - 127*l + 540.
-(l - 4)*(2*l + 135)
Let 5*j**3 + 20*j**2 - 5*j - 20 = 0. Calculate j.
-4, -1, 1
Factor -2*h**2/5 + 68*h/5 - 506/5.
-2*(h - 23)*(h - 11)/5
Factor -30*n**2 + 4*n - 2/15.
-2*(15*n - 1)**2/15
Let -2*y**3/7 - 6*y**2/7 + 12*y/7 + 16/7 = 0. Calculate y.
-4, -1, 2
Factor v**5/4 + 3*v**4/4 - v**3/2 - 3*v**2 - 2*v.
v*(v - 2)*(v + 1)*(v + 2)**2/4
What is i in 2*i**2/7 - 10*i/7 - 208/7 = 0?
-8, 13
Factor s**3/7 + 36*s**2 + 16125*s/7 + 31250/7.
(s + 2)*(s + 125)**2/7
Factor m**2 - 204*m - 412.
(m - 206)*(m + 2)
Factor -13924*u**3/5 + 2832*u**2/5 - 144*u/5.
-4*u*(59*u - 6)**2/5
Factor -6*b**3 + 92*b**2 - 1298*b/3 + 1936/3.
-2*(b - 8)*(3*b - 11)**2/3
Factor 2*v**4/5 - 32*v**3/5 - 34*v**2 + 40*v.
2*v*(v - 20)*(v - 1)*(v + 5)/5
Let k**2/8 - 1115*k/4 - 6699/8 = 0. Calculate k.
-3, 2233
Factor 4*o**4/5 - 336*o**2/5 - 128*o.
4*o*(o - 10)*(o + 2)*(o + 8)/5
Factor -s**2/4 + 3*s/4 + 1.
-(s - 4)*(s + 1)/4
Find z, given that -z**4/2 + 4*z**3 + 19*z**2/2 + 5*z = 0.
-1, 0, 10
Solve 3*x**5/5 - 231*x**4/5 + 3231*x**3/5 - 10461*x**2/5 + 12138*x/5 - 936 = 0.
1, 2, 13, 60
Suppose r**3 - 7*r**2 - 170*r = 0. What is r?
-10, 0, 17
Solve -10*t**3 + 395*t**2 + 1490*t + 645 = 0.
-3, -1/2, 43
Determine r so that r**5/5 - 138*r**4/5 + 4758*r**3/5 + 416*r**2/5 - 14559*r/5 + 9522/5 = 0.
-2, 1, 69
Factor 5*v**3 - 255*v**2 - 260*v.
5*v*(v - 52)*(v + 1)
Factor 3*j**3/2 - 231*j**2/2 - 963*j/2 - 729/2.
3*(j - 81)*(j + 1)*(j + 3)/2
Factor 4*x**3 + 5*x**2 - 47*x - 12.
(x - 3)*(x + 4)*(4*x + 1)
What is f in -15*f**5 - 845*f**4 + 1945*f**3/3 + 13615*f**2/3 + 4200*f + 1140 = 0?
-57, -1, -2/3, 3
Factor -5*o**3 + 20*o**2 - 25*o + 10.
-5*(o - 2)*(o - 1)**2
Factor v**4/7 - 47*v**3/7 + 351*v**2/7 + 729*v.
v*(v - 27)**2*(v + 7)/7
Let 245*y**5 + 350*y**4 - 4180*y**3 - 5560*y**2 + 4160*y - 640 = 0. Calculate y.
-4, -2, 2/7, 4
Solve s**5/9 + 8*s**4/9 - s**3/9 - 8*s**2/9 = 0.
-8, -1, 0, 1
Determine q so that -4*q**3/7 + 64*q**2 - 9424*q/7 - 184512/7 = 0.
-12, 62
Factor -5*o**2/3 + 125*o - 370/3.
-5*(o - 74)*(o - 1)/3
Determine q so that -5*q**2 - 1640*q + 3300 = 0.
-330, 2
Let 2*t**5/11 - 8*t**4/11 - 24*t**3/11 - 4*t**2/11 + 2*t + 12/11 = 0. What is t?
-1, 1, 6
Factor -6*x**3/11 + 666*x**2/11 - 22464*x/11 + 207360/11.
-6*(x - 48)**2*(x - 15)/11
Factor -3*g**3/5 - 15*g**2 - 504*g/5 - 432/5.
-3*(g + 1)*(g + 12)**2/5
Factor 2*v**2/9 - 64*v/3 + 512.
2*(v - 48)**2/9
Suppose -2*q**5/11 - 8*q**4/11 + 16*q**3/11 + 20*q**2/11 - 46*q/11 + 20/11 = 0. Calculate q.
-5, -2, 1
Determine x, given that -x**3/5 - 5*x**2 + 26*x/5 = 0.
-26, 0, 1
Let -4*m**3 + 72*m**2 + 400*m - 1056 = 0. Calculate m.
-6, 2, 22
Find t, given that -2*t**5/9 - 16*t**4/9 - 44*t**3/9 - 16*t**2/3 - 2*t = 0.
-3, -1, 0
Find y such that -5*y**4/6 + 10*y**3 - 55*y**2/2 + 5*y/3 + 40 = 0.
-1, 2, 3, 8
Factor -3*h**3 - 69*h**2 + 315*h - 243.
-3*(h - 3)*(h - 1)*(h + 27)
Solve -c**3 - 191*c**2 - 9215*c - 9025 = 0 for c.
-95, -1
Solve -d**4/5 + 53*d**3/5 - 98*d**2/5 - 212*d/5 + 408/5 = 0.
-2, 2, 51
Factor -2*p**3/7 - 722*p**2/7 - 720*p/7.
-2*p*(p + 1)*(p + 360)/7
Find b, given that 21*b**4/8 - 225*b**3/8 + 18*b**2 + 15*b/2 = 0.
-2/7, 0, 1, 10
Factor n**3/7 - 10*n**2/7 - n/7 + 10/7.
(n - 10)*(n - 1)*(n + 1)/7
Determine m, given that -5*m**2 + 1475*m - 5820 = 0.
4, 291
Determine t so that -t**3/2 - 2*t**2 + 7*t/2 + 5 = 0.
-5, -1, 2
Factor 4*g**4 + 22*g**3/3 + 10*g**2/3.
2*g**2*(g + 1)*(6*g + 5)/3
Factor -4*n**2/7 - 176*n/7 - 492/7.
-4*(n + 3)*(n + 41)/7
Determine u so that -u**2 + 914*u - 913 = 0.
1, 913
Factor a**2 + 135*a.
a*(a + 135)
Solve o**4/2 - 21*o**3/2 - 36*o**2 = 0 for o.
-3, 0, 24
Solve 3*f**5/2 - 27*f**4/2 - 345*f**3/2 - 1017*f**2/2 - 459*f = 0.
-3, -2, 0, 17
Solve -699*d**2/2 - 3494*d + 10 = 0 for d.
-10, 2/699
Determine n so that -n**2/5 + 3*n - 44/5 = 0.
4, 11
Factor -2*b**3 - 38*b**2 - 48*b + 1440.
-2*(b - 5)*(b + 12)**2
Factor -2*k**3/3 - 230*k**2 + 462*k - 694/3.
-2*(k - 1)**2*(k + 347)/3
Factor -3*v**2/7 - 48*v/7 + 108/7.
-3*(v - 2)*(v + 18)/7
Suppose -3*t**2 - 54*t - 96 = 0. Calculate t.
-16, -2
Determine x so that 4*x**4/5 - 308*x**3/5 - 312*x**2/5 = 0.
-1, 0, 78
Solve -b**2/3 - 4*b - 20/3 = 0.
-10, -2
What is b in -3*b**5 - 89*b**4 + 126*b**3 + 58*b**2 - 123*b + 31 = 0?
-31, -1, 1/3, 1
Factor -2*n**5 - 16*n**4 - 8*n**3 + 160*n**2 + 128*n - 512.
-2*(n - 2)**2*(n + 4)**3
What is a in -a**3 - 6*a**2 + 16*a = 0?
-8, 0, 2
What is i in i**5 + 46*i**4 - 145*i**3 + 98*i**2 = 0?
-49, 0, 1, 2
Factor -2*p**3 - 324*p**2 + 656*p.
-2*p*(p - 2)*(p + 164)
Find d such that -2*d**2 - 120*d - 1800 = 0.
-30
Find o, given that o**2/3 + 68*o/3 = 0.
-68, 0
Find x such that 2*x**5 + 24*x**4 - 198*x**3 + 316*x**2 - 144*x = 0.
-18, 0, 1, 4
Find z such that 63*z**5/2 - 33*z**4 - 45*z**3/2 + 18*z**2 + 6*z = 0.
-2/3, -2/7, 0, 1
Factor -m**4/3 + 46*m**3/3 - 199*m**2/3 - 82*m.
-m*(m - 41)*(m - 6)*(m + 1)/3
Factor 3*i**3/7 - 318*i**2/7 + 7755*i/7 + 36300/7.
3*(i - 55)**2*(i + 4)/7
Suppose -50*d**4/9 + 170*d**3/3 - 1558*d**2/9 + 454*d/3 - 40 = 0. What is d?
3/5, 4, 5
What is c in 4*c**2/7 + 6104*c + 16300732 = 0?
-5341
Determine r, given that -1272384*r**2 + 4512*r - 4 = 0.
1/564
Determine u so that 4*u**5 + 16*u**4 + 8*u**3 - 16*u**2 - 12*u = 0.
-3, -1, 0, 1
Factor -u**3 - 144*u**2 + 588*u - 592.
-(u - 2)**2*(u + 148)
Let -100*a**5 - 95*a**4 + 290*a**3 + 55*a**2 - 190*a + 40 = 0. Calculate a.
-2, -1, 1/4, 4/5, 1
Factor 2*f**3/9 - 52*f**2/9 - 110*f/9 - 56/9.
2*(f - 28)*(f + 1)**2/9
Find n such that 5*n**3 - 6795*n**2 + 3078135*n - 464798385 = 0.
453
Find j, given that -j**4/2 - j**3 + 3*j**2/2 = 0.
-3, 0, 1
Solve -2*m**4 + 6*m**3 + 10*m**2 - 6*m - 8 = 0.
-1, 1, 4
Suppose -10*x**4 + 65*x**3 - 115*x**2 + 15*x + 45 = 0. Calculate x.
-1/2, 1, 3
Factor 3*v**3/4 + 159*v**2 + 34335*v/4 + 33075/2.
3*(v + 2)*(v + 105)**2/4
Suppose -4*v**3/5 + 28*v**2/5 + 96*v/5 - 144 = 0. Calculate v.
-5, 6
Factor