-1/4
Factor -2*i**4/5 - 1488*i**3 - 2075760*i**2 - 1286971200*i - 299220804000.
-2*(i + 930)**4/5
What is v in 4*v**2 - 616*v + 23716 = 0?
77
Determine l so that 3*l**3 - 12*l**2 - 132*l + 288 = 0.
-6, 2, 8
Factor -m**3/4 + 323*m**2/4 + m/4 - 323/4.
-(m - 323)*(m - 1)*(m + 1)/4
Let 3*n**2/5 + 87*n/5 - 18 = 0. Calculate n.
-30, 1
Solve 2*n**4 + 2*n**3 - 14*n**2 - 26*n - 12 = 0 for n.
-2, -1, 3
Factor -4*q**4 + 28*q**3 - 60*q**2 + 36*q.
-4*q*(q - 3)**2*(q - 1)
Let -3*l**3/5 - 21*l**2/5 + 147*l - 3087/5 = 0. What is l?
-21, 7
Factor 3*y**4/7 + 51*y**3/7 + 114*y**2/7 - 24*y.
3*y*(y - 1)*(y + 4)*(y + 14)/7
Suppose 9*p**4 - 102*p**3 - 188*p**2 - 90*p - 13 = 0. What is p?
-1, -1/3, 13
Suppose -a**2 - 133*a - 1000 = 0. What is a?
-125, -8
Solve -i**4/6 - 31*i**3/6 - 42*i**2 - 82*i/3 + 224/3 = 0 for i.
-16, -14, -2, 1
Factor -5*x**3 - 50*x**2 - 140*x - 120.
-5*(x + 2)**2*(x + 6)
What is g in g**5/4 + 31*g**4/8 + 113*g**3/8 + 163*g**2/8 + 101*g/8 + 11/4 = 0?
-11, -2, -1, -1/2
Find u, given that -2*u**5/21 - 48*u**4/7 - 1046*u**3/7 - 12220*u**2/21 + 58136*u/7 - 105456/7 = 0.
-26, 3
Factor -2*o**2/7 - 82*o/7 - 108.
-2*(o + 14)*(o + 27)/7
Factor -2*c**4 - 4*c**3 + 4*c + 2.
-2*(c - 1)*(c + 1)**3
Factor 2*v**4 - 12*v**3 + 16*v**2 + 12*v - 18.
2*(v - 3)**2*(v - 1)*(v + 1)
Factor -2*m**5/3 + 3*m**4 - 4*m**3 + 4*m**2/3.
-m**2*(m - 2)**2*(2*m - 1)/3
Solve 5*l**5 - 25*l**4 - 30*l**3 = 0.
-1, 0, 6
Suppose 2*y**2 - 300*y + 882 = 0. Calculate y.
3, 147
Solve -2*u**4/7 - 12380*u**3/7 - 25548192*u**2/7 - 17585663908*u/7 - 17560128094/7 = 0 for u.
-2063, -1
Factor -3*f**3 - 54*f**2 + 765*f - 2100.
-3*(f - 5)**2*(f + 28)
Let h**2/3 + 38*h + 1083 = 0. Calculate h.
-57
Solve 4*a**2 - 280*a + 276 = 0.
1, 69
Factor 36*z**4 - 44*z**3 - 3232*z**2 + 720*z.
4*z*(z - 10)*(z + 9)*(9*z - 2)
Factor -4*b**4 - 36*b**3 - 8*b**2 + 336*b - 288.
-4*(b - 2)*(b - 1)*(b + 6)**2
Factor 214*w**2/9 - 206*w/9 - 8/9.
2*(w - 1)*(107*w + 4)/9
Factor 9*c**3/5 - 66*c**2/5 - 129*c/5 - 54/5.
3*(c - 9)*(c + 1)*(3*c + 2)/5
Factor -a**2/5 + 69*a/5 + 142/5.
-(a - 71)*(a + 2)/5
Suppose 2*n**2/9 - 2*n/3 - 80/9 = 0. Calculate n.
-5, 8
Factor -18*a**2 - 5*a + 2.
-(2*a + 1)*(9*a - 2)
What is j in -2*j**2 - 20*j + 22 = 0?
-11, 1
Factor 4*o**5 - 43*o**4 + 129*o**3 - 65*o**2 - 25*o.
o*(o - 5)**2*(o - 1)*(4*o + 1)
Solve v**2/5 + 522*v/5 + 68121/5 = 0.
-261
Factor -2*s**2/7 + 712*s/7 - 63368/7.
-2*(s - 178)**2/7
Factor -3*w**3/4 + 153*w**2/2 - 303*w/4.
-3*w*(w - 101)*(w - 1)/4
Suppose 414*u**4/7 + 1920*u**3/7 - 560*u**2 - 3200*u/7 + 96/7 = 0. Calculate u.
-6, -2/3, 2/69, 2
Factor 5*w**3 - 1570*w**2 + 12320*w - 24480.
5*(w - 306)*(w - 4)**2
Factor -l**4/11 + l**3/11 + 4*l**2/11 - 4*l/11.
-l*(l - 2)*(l - 1)*(l + 2)/11
Let 2*r**5 + 6*r**4 - 14*r**3 - 22*r**2 + 12*r + 16 = 0. Calculate r.
-4, -1, 1, 2
Factor -i**5 + 7*i**4 - 14*i**3 + 8*i**2.
-i**2*(i - 4)*(i - 2)*(i - 1)
Determine j, given that 6*j**2/5 - 28*j/5 - 48/5 = 0.
-4/3, 6
Find m such that m**3 - 1411*m**2 + 498435*m - 497025 = 0.
1, 705
Let -b**5 + 4*b**4 - 3*b**3 - 4*b**2 + 4*b = 0. What is b?
-1, 0, 1, 2
Factor -u**5/4 + 17*u**4/4 - 21*u**3/2 - 119*u**2/2 - 277*u/4 - 99/4.
-(u - 11)*(u - 9)*(u + 1)**3/4
Factor -d**3 + 43*d**2 - 160*d + 156.
-(d - 39)*(d - 2)**2
Solve 10*o**5 + 62*o**4 + 22*o**3 - 238*o**2 + 112*o + 32 = 0 for o.
-4, -1/5, 1
Factor -4*f**3/3 - 108*f**2 - 212*f - 316/3.
-4*(f + 1)**2*(f + 79)/3
Let -2*v**2/9 - 1228*v/9 = 0. What is v?
-614, 0
Factor -18*k**4 + 590*k**3 + 132*k**2.
-2*k**2*(k - 33)*(9*k + 2)
Factor -f**5 + 8*f**4 - 15*f**3.
-f**3*(f - 5)*(f - 3)
Let 3*n**3 - 84*n**2 - 717*n - 630 = 0. What is n?
-6, -1, 35
Factor -2*i**4/9 - 80*i**3/3 - 1200*i**2 - 24000*i - 180000.
-2*(i + 30)**4/9
Suppose 2*f**2/11 - 18*f/11 + 16/11 = 0. What is f?
1, 8
Factor -3*b**4 + 6*b**3 + 9*b**2.
-3*b**2*(b - 3)*(b + 1)
Factor -q**3 + 33*q**2/2 - 56*q + 24.
-(q - 12)*(q - 4)*(2*q - 1)/2
Factor 3*p**3/4 - 15*p**2/4 - 6*p + 36.
3*(p - 4)**2*(p + 3)/4
Factor 2*c**3/5 - 56*c**2/5.
2*c**2*(c - 28)/5
Determine c, given that 4*c**2 + 24*c + 20 = 0.
-5, -1
Let 12*w**4 - 104*w**3 - 444*w**2 - 424*w - 96 = 0. What is w?
-2, -1, -1/3, 12
What is o in -3*o**4/7 + 135*o**3/7 - 621*o**2/7 + 849*o/7 - 360/7 = 0?
1, 3, 40
What is c in -8*c**2 + 6040*c - 1140050 = 0?
755/2
Factor 2*v**3/7 + 34*v**2/7 + 62*v/7 + 30/7.
2*(v + 1)**2*(v + 15)/7
Let -3*u**4 + 6*u**3 + 87*u**2 + 126*u = 0. What is u?
-3, -2, 0, 7
Factor 3*g**5 + 48*g**4 - 18*g**3 - 264*g**2 + 375*g - 144.
3*(g - 1)**3*(g + 3)*(g + 16)
Factor -s**5/3 - 6*s**4 - 36*s**3 - 72*s**2.
-s**2*(s + 6)**3/3
Find o such that -5*o**4 - 555*o**3 - 6610*o**2 - 23700*o - 17640 = 0.
-98, -6, -1
Find i such that -2*i**5 - 5684*i**4 - 4044162*i**3 - 8071280*i**2 - 4032800*i = 0.
-1420, -1, 0
Let -2*w**5 + 4*w**4 + 80*w**3 - 292*w**2 + 210*w = 0. What is w?
-7, 0, 1, 3, 5
Factor -2*l**2/9 - 260*l/9 - 8450/9.
-2*(l + 65)**2/9
Suppose -3*d**3/2 - 6*d**2 + 33*d/2 + 45 = 0. What is d?
-5, -2, 3
Determine t, given that -4*t**3 - 92*t**2 - 360*t = 0.
-18, -5, 0
Find v, given that -v**4/3 + 3*v**3 - 5*v**2 - 25*v/3 = 0.
-1, 0, 5
Determine r, given that 5*r**3 - 15760*r**2 + 12403105*r + 24869290 = 0.
-2, 1577
Factor m**2/3 + m - 6.
(m - 3)*(m + 6)/3
Solve j**4/6 - 4*j**3/3 + 3*j**2 - 9/2 = 0.
-1, 3
Suppose -s**3/3 + 28*s**2/3 - 52*s/3 = 0. What is s?
0, 2, 26
Factor -3*h**3 + 111*h**2 + 2970*h.
-3*h*(h - 55)*(h + 18)
Factor 3*s**2/2 + 189*s/2 + 729.
3*(s + 9)*(s + 54)/2
Suppose 3*g**5 + 153*g**4 - 6*g**3 - 306*g**2 + 3*g + 153 = 0. What is g?
-51, -1, 1
Factor 2*v**3/3 - 352*v**2 + 61952*v - 10903552/3.
2*(v - 176)**3/3
Solve 2*z**2/9 + 104*z/9 + 184/3 = 0.
-46, -6
Factor -p**4 - 14*p**3 + 31*p**2 - 16*p.
-p*(p - 1)**2*(p + 16)
Suppose 4*y**3 + 116*y**2 - 704*y - 816 = 0. Calculate y.
-34, -1, 6
Factor k**4/9 - 17*k**3/9 + 19*k**2/3 - 67*k/9 + 26/9.
(k - 13)*(k - 2)*(k - 1)**2/9
Factor -2*s**2 - 370*s + 372.
-2*(s - 1)*(s + 186)
Determine l, given that 5*l**4 - 30*l**3 + 5*l**2 + 120*l + 80 = 0.
-1, 4
Factor 84*w**2/5 - 243*w/5 - 27/5.
3*(w - 3)*(28*w + 3)/5
Let -3*v**2 + 6330*v - 3339075 = 0. Calculate v.
1055
Suppose -3*a**2/5 + 3024*a/5 - 762048/5 = 0. Calculate a.
504
Factor a**3/2 - 7*a/2 + 3.
(a - 2)*(a - 1)*(a + 3)/2
Suppose -4*v**5/9 - 43*v**4/9 - 41*v**3/9 + 505*v**2/9 + 127*v/3 - 14 = 0. Calculate v.
-7, -6, -1, 1/4, 3
Factor 2*i**3/5 + 312*i**2/5 + 1222*i/5 + 912/5.
2*(i + 1)*(i + 3)*(i + 152)/5
Factor -14*f**3/5 - 4*f**2/5 + 686*f/5 + 196/5.
-2*(f - 7)*(f + 7)*(7*f + 2)/5
Find g, given that -2*g**4/3 + 28*g**3 - 366*g**2 + 1512*g - 1944 = 0.
3, 18
Find r such that -3*r**4 + 3*r**3 + 9*r**2 - 3*r - 6 = 0.
-1, 1, 2
What is i in -i**4 - 15*i**3 + 96*i**2 - 80*i = 0?
-20, 0, 1, 4
Factor -16*j**3 - 770*j**2.
-2*j**2*(8*j + 385)
Factor 20*s**3 - 635*s**2 - 1520*s - 340.
5*(s - 34)*(s + 2)*(4*s + 1)
Determine p so that -2*p**5 + 18*p**4 - 62*p**3 + 102*p**2 - 80*p + 24 = 0.
1, 2, 3
Suppose -98*r**2/3 + 224*r - 384 = 0. What is r?
24/7
Find c such that 4*c**3 - 21*c**2 + 29*c - 6 = 0.
1/4, 2, 3
Let -2*v**4 - 3016*v**3 - 1137030*v**2 + 3016*v + 1137032 = 0. What is v?
-754, -1, 1
Solve 2*t**2/11 - 86*t - 948/11 = 0.
-1, 474
Factor 2*z**5 + 38*z**4 + 228*z**3 + 448*z**2 + 256*z.
2*z*(z + 1)*(z + 2)*(z + 8)**2
Suppose -2*j**3 - 14*j**2 + 72 = 0. What is j?
-6, -3, 2
Factor b**5/5 + 18*b**4/5 + 96*b**3/5 + 128*b**2/5.
b**2*(b + 2)*(b + 8)**2/5
What is k in -4*k**2 - 224*k - 3136 = 0?
-28
Determine a so that 3*a**2 + 264*a + 5808 = 0.
-44
Find h such that 6*h**3 + 249*h**2 + 2520*h - 1323 = 0.
-21, 1/2
Factor q**5 - 27*q**4 + 219*q**3 - 505*q**2 + 456*q - 144.
(q - 12)**2*(q - 1)**3
Factor -z**4/4 + 7*z**3/4 - 5*z**2/4 - 7*z/4 + 3/2.
-(z - 6)*(z - 1)**2*(z + 1)/4
Determine s so that 3*s**2/5 - 327*s/5 - 1008/5 = 0.
-3, 112
Factor -2*n**4/7 + 1040*n**3/7 - 133104*n**2/7 - 544960*n/7 - 549152/7.
-2*(n - 262)**2*(n + 2)**2/7
Solve 2*z**2/5 + 74*z/5 + 672/5 = 0 for z.
-21, -16
Let -3*j**3 + 6*j**2 - 3*j = 0. What is j?
0, 1
Suppose -2*a**4/3 - 32*a**3/3 - 10*a**2 = 0. Calculate a.
-15, -1, 0
Factor 4*n**2 + 1188*n - 3600.
4*(n - 3)*(n + 300)
Factor -3*n**2/8 - 1023*n/2 - 348843/2.
-3*(n + 682)**2/8
Factor -4*w**4 + 296*w**3 - 5760*w**2 + 10368*w.
-4*w*(w - 36)**2*(w - 2)
Solve -2*q**2 + 436*q - 434 = 0.
1, 217
Determine o, given th