at 375*q**5 - 4275*q**4 - 34530*q**3 - 19662*q**2 - 3861*q - 255 = 0.
-5, -1/5, 17
Factor 2*d**2/11 + 74*d/11 + 540/11.
2*(d + 10)*(d + 27)/11
Factor 4*d**3/3 + 4*d**2 - 8*d - 32/3.
4*(d - 2)*(d + 1)*(d + 4)/3
Factor 4*j**3/3 - 836*j**2 + 128068*j + 2813692/3.
4*(j - 317)**2*(j + 7)/3
Solve -10*j**3 + 395*j**2 - 575*j + 190 = 0.
1/2, 1, 38
Factor w**2 - 180*w + 179.
(w - 179)*(w - 1)
Let -226*u**4 + 2264*u**3 - 3882*u**2 + 1876*u - 32 = 0. Calculate u.
2/113, 1, 8
Determine v so that -5*v**4 - 40*v**3 - 85*v**2 + 10*v + 120 = 0.
-4, -3, -2, 1
Factor 4*d**2 - 388*d + 384.
4*(d - 96)*(d - 1)
Determine y so that 3*y**4 + 12*y**3 + 3*y**2 - 18*y = 0.
-3, -2, 0, 1
Find n, given that -n**2/4 + 217*n/4 + 109/2 = 0.
-1, 218
Factor c**2/8 + 25*c/8 + 39/2.
(c + 12)*(c + 13)/8
Factor -2*p**2/3 - 58*p - 340/3.
-2*(p + 2)*(p + 85)/3
Factor 2*s**3 - 48*s**2 + 202*s - 228.
2*(s - 19)*(s - 3)*(s - 2)
Factor -14*m**2/9 + 1432*m/9 - 136/3.
-2*(m - 102)*(7*m - 2)/9
Solve 9*r**4/4 - 191*r**3/4 + 393*r**2/4 - 249*r/4 + 19/2 = 0 for r.
2/9, 1, 19
Solve -3*s**5 + 9*s**4 - 3*s**3 - 9*s**2 + 6*s = 0.
-1, 0, 1, 2
Factor 2*x**3/3 + 258*x**2 + 25090*x + 74498/3.
2*(x + 1)*(x + 193)**2/3
Factor -4*d**2 - 16*d + 84.
-4*(d - 3)*(d + 7)
Factor -4*n**4 - 20*n**3 - 28*n**2 - 12*n.
-4*n*(n + 1)**2*(n + 3)
Solve -24*p**4 + 140*p**3 + 564*p**2 + 612*p + 212 = 0 for p.
-1, 53/6
Factor -4*i**3 - 44*i**2 + 104*i.
-4*i*(i - 2)*(i + 13)
Factor -2*s**3/7 - 8*s**2/7 + 6*s/7 + 36/7.
-2*(s - 2)*(s + 3)**2/7
Solve -27*b**5 - 135*b**4 - 78*b**3 + 258*b**2 + 9*b - 27 = 0.
-3, -1/3, 1/3, 1
Factor -y**2/4 - 63*y/4 + 99/2.
-(y - 3)*(y + 66)/4
What is y in -3*y**4/2 + 12*y**3 - 51*y**2/2 + 15*y = 0?
0, 1, 2, 5
Factor -y**4/6 + 61*y**3/6 - 212*y**2/3.
-y**2*(y - 53)*(y - 8)/6
Factor 2*a**3/13 - 3142*a**2/13 + 1232448*a/13 + 1235592/13.
2*(a - 786)**2*(a + 1)/13
What is v in -4*v**5/7 - 36*v**4/7 + 8*v**3 + 528*v**2/7 - 1312*v/7 + 768/7 = 0?
-8, -6, 1, 2
Determine c so that 5*c**2 - 6005*c + 6000 = 0.
1, 1200
Solve -5*b**2 + 2235*b + 2240 = 0 for b.
-1, 448
Factor 4*z**5/7 + 4*z**4 + 72*z**3/7 + 80*z**2/7 + 32*z/7.
4*z*(z + 1)*(z + 2)**3/7
Suppose -g**2 - 196*g + 197 = 0. What is g?
-197, 1
Determine w so that -73*w**2/3 - 48*w + 4/3 = 0.
-2, 2/73
Find z such that -3*z**5 - 39*z**4 - 99*z**3 - 93*z**2 - 30*z = 0.
-10, -1, 0
Suppose 3*i**3/2 + 21*i**2/4 + 3*i - 3 = 0. Calculate i.
-2, 1/2
Factor 2*p**2 + 16*p - 18.
2*(p - 1)*(p + 9)
Solve -35*o**3 + 1390*o**2 - 965*o - 390 = 0 for o.
-2/7, 1, 39
Find l, given that -6*l**2 + 69*l - 90 = 0.
3/2, 10
Let -30*x**2 - 46*x + 76 = 0. What is x?
-38/15, 1
Solve s**3/2 - 31*s**2/2 + 59*s/2 - 29/2 = 0.
1, 29
Factor 2*v**5/5 - 2*v**4 + 6*v**3/5 + 18*v**2/5.
2*v**2*(v - 3)**2*(v + 1)/5
Solve 4*w**3 - 100*w**2 - 484*w + 580 = 0 for w.
-5, 1, 29
Suppose -14*d**2/5 + 62*d/5 - 24/5 = 0. Calculate d.
3/7, 4
Find l, given that -l**3 + 187*l**2 - 736*l + 732 = 0.
2, 183
Let -d**3 + 3*d**2 + 4*d - 12 = 0. What is d?
-2, 2, 3
Factor -5*w**3/6 - 85*w**2/6 - 230*w/3 - 400/3.
-5*(w + 4)*(w + 5)*(w + 8)/6
Solve -2*r**3 + 28*r**2 - 114*r + 144 = 0 for r.
3, 8
Factor -4*q**2 - 232*q.
-4*q*(q + 58)
Factor 4*n**2/7 + 8*n + 52/7.
4*(n + 1)*(n + 13)/7
Factor -4*j**5 - 60*j**4 - 192*j**3 - 176*j**2.
-4*j**2*(j + 2)**2*(j + 11)
What is y in 2*y**4/5 - 46*y**3/5 - 102*y**2/5 + 46*y/5 + 20 = 0?
-2, -1, 1, 25
Suppose 45*k**2 - 12925*k + 2870 = 0. Calculate k.
2/9, 287
Factor 2*a**5/7 - 340*a**4/7 + 14786*a**3/7 - 4080*a**2 + 2016*a.
2*a*(a - 84)**2*(a - 1)**2/7
Determine y so that y**3/3 - y**2/3 - 25*y/3 + 25/3 = 0.
-5, 1, 5
Find f such that -2*f**5 - 60*f**4 - 214*f**3 - 148*f**2 + 216*f + 208 = 0.
-26, -2, -1, 1
Find a, given that a**5/3 + 17*a**4/2 + 79*a**3/3 - 104*a**2 + 280*a/3 - 49/2 = 0.
-21, -7, 1/2, 1
Factor 3*p**4 - 168*p**3 + 900*p**2.
3*p**2*(p - 50)*(p - 6)
Factor -16*m**5/5 - 52*m**4/5 - 12*m**3/5.
-4*m**3*(m + 3)*(4*m + 1)/5
Factor -930*u**2 + 938*u - 8.
-2*(u - 1)*(465*u - 4)
What is h in 3*h**2/5 - 9066*h/5 + 6849363/5 = 0?
1511
Factor 15*p**3 + 414*p**2 + 2772*p - 1176.
3*(p + 14)**2*(5*p - 2)
Solve k**3 - 12*k**2 - 13*k = 0 for k.
-1, 0, 13
Factor 4*m**5 + 56*m**4 + 292*m**3 + 672*m**2 + 576*m.
4*m*(m + 3)**2*(m + 4)**2
Factor -4*r**4 + 308*r**3 - 6080*r**2 + 5776*r.
-4*r*(r - 38)**2*(r - 1)
Factor -n**4/4 - 3*n**3/2 + 51*n**2/4 + 29*n + 15.
-(n - 6)*(n + 1)**2*(n + 10)/4
Suppose 2*l**3/19 + 10*l**2/19 - 194*l/19 + 182/19 = 0. What is l?
-13, 1, 7
Factor n**4/8 - n**3/2 - 7*n**2/2 - 4*n.
n*(n - 8)*(n + 2)**2/8
Factor -2*o**4 + 6730*o**3 - 13454*o**2 + 6726*o.
-2*o*(o - 3363)*(o - 1)**2
Let -l**4/3 + 4*l**3/3 + 2*l**2/3 - 4*l - 3 = 0. What is l?
-1, 3
Factor 4*r**2/7 + 184*r/7.
4*r*(r + 46)/7
Suppose v**3/10 + 2*v**2 + 24*v/5 - 288/5 = 0. Calculate v.
-12, 4
Find i, given that -i**2/3 - 71*i/3 - 168 = 0.
-63, -8
Suppose -4*k**5 + 12*k**4 + 136*k**3 - 152*k**2 - 132*k + 140 = 0. What is k?
-5, -1, 1, 7
Factor -t**2/4 - 7*t/4 + 2.
-(t - 1)*(t + 8)/4
Let -h**3 + 19*h**2 + 4*h - 76 = 0. Calculate h.
-2, 2, 19
Let -9*z**5/8 + 15*z**4/4 - 9*z**3/8 - 9*z**2/2 + 3*z/2 = 0. What is z?
-1, 0, 1/3, 2
What is y in -10*y**3/13 + 16*y**2/13 + 8*y/13 = 0?
-2/5, 0, 2
Factor 2*w**3 - 14*w**2 + 28*w - 16.
2*(w - 4)*(w - 2)*(w - 1)
What is y in -17*y**4/7 - 121*y**3/7 + 275*y**2/7 - 17*y - 18/7 = 0?
-9, -2/17, 1
Suppose -42*j**3/5 - 166*j**2/5 - 204*j/5 - 16 = 0. Calculate j.
-2, -1, -20/21
Factor s**5/2 - 3*s**4 + 5*s**3/2 + 6*s**2.
s**2*(s - 4)*(s - 3)*(s + 1)/2
Suppose 2*x**4/5 - 72*x**3 + 15834*x**2/5 + 33124*x/5 = 0. Calculate x.
-2, 0, 91
Find s such that 3*s**2/8 + 93*s/4 + 183/8 = 0.
-61, -1
Determine c, given that 2*c**5/3 - 2*c**4 + 2*c**3/3 + 2*c**2 - 4*c/3 = 0.
-1, 0, 1, 2
Determine t, given that 5*t**2/4 - 105*t/4 = 0.
0, 21
Factor -g**5/4 + 24*g**4 - 2397*g**3/4 + 2209*g**2/2.
-g**2*(g - 47)**2*(g - 2)/4
Factor 3*x**3 - 261*x**2 - 543*x + 801.
3*(x - 89)*(x - 1)*(x + 3)
Suppose -3*p**2/5 - 54*p/5 - 27 = 0. Calculate p.
-15, -3
Let h**2/2 + 43*h/2 + 216 = 0. What is h?
-27, -16
Factor -2*u**4 + 310*u**3 - 15228*u**2 + 192456*u + 2204496.
-2*(u - 54)**3*(u + 7)
Solve 2*j**2/11 - 6*j + 504/11 = 0.
12, 21
Suppose -l**2/3 - 146*l - 15987 = 0. What is l?
-219
Factor 3*p**2 + 15*p - 18.
3*(p - 1)*(p + 6)
Factor 2*w**3 + 50*w**2 + 336*w + 288.
2*(w + 1)*(w + 12)**2
Let -1073733*h**4 - 4385670*h**3 - 365508*h**2 - 10248*h - 96 = 0. What is h?
-4, -2/71
Factor -w**2/4 + 3*w - 27/4.
-(w - 9)*(w - 3)/4
What is s in -s**3 + 278*s**2 + 559*s + 280 = 0?
-1, 280
Determine h so that h**3/3 = 0.
0
Factor -4*i**3 - 292*i**2/7 - 372*i/7 - 108/7.
-4*(i + 1)*(i + 9)*(7*i + 3)/7
Factor y**3/5 + 42*y**2/5 - 43*y/5.
y*(y - 1)*(y + 43)/5
Factor -y**3/2 - 35*y**2/2 - 101*y - 84.
-(y + 1)*(y + 6)*(y + 28)/2
Factor 4*p**2/3 + 4648*p/3.
4*p*(p + 1162)/3
Let -o**2 - 65*o = 0. What is o?
-65, 0
Suppose -3*m**4/2 + 18*m**3 - 72*m**2 + 120*m - 72 = 0. What is m?
2, 6
Factor -3*n**2/2 + 1473*n/2 + 738.
-3*(n - 492)*(n + 1)/2
Determine k, given that -3*k**5 + 36*k**4 + 54*k**3 - 972*k**2 - 2187*k = 0.
-3, 0, 9
Determine r, given that r**3 + 737*r**2/4 + 8510*r + 2116 = 0.
-92, -1/4
Factor -k**3 + 235*k**2 - 928*k + 924.
-(k - 231)*(k - 2)**2
Let 3*t**4/2 + 24*t**3 - 231*t**2/2 + 90*t = 0. What is t?
-20, 0, 1, 3
Factor -9*w**2/8 + 1113*w/8 - 369/4.
-3*(w - 123)*(3*w - 2)/8
Determine r so that 10*r**2/7 + 144*r/7 + 486/7 = 0.
-9, -27/5
Factor 4*c**2/5 - 8*c/5 - 1152/5.
4*(c - 18)*(c + 16)/5
What is a in -8*a**2/9 - 22*a/3 - 16/9 = 0?
-8, -1/4
Factor 4*p**2 + 1448*p + 4308.
4*(p + 3)*(p + 359)
Factor -2*q**2 + 354*q + 356.
-2*(q - 178)*(q + 1)
Suppose 5*n**3 - 190*n**2 - 20*n + 760 = 0. Calculate n.
-2, 2, 38
Let r**2 - 311*r - 312 = 0. Calculate r.
-1, 312
Suppose 66*c**2 - 676*c + 160 = 0. What is c?
8/33, 10
Factor -3*d**5 + 3*d**4 + 60*d**3.
-3*d**3*(d - 5)*(d + 4)
Solve 2*b**3/3 - 358*b**2/3 - 4204*b/3 + 1520 = 0 for b.
-12, 1, 190
Let l**2 - 35*l - 36 = 0. Calculate l.
-1, 36
What is w in -3*w**3 - 24*w**2 - 63*w - 54 = 0?
-3, -2
Factor j**5/4 - 3*j**4/4 - 5*j**3/2.
j**3*(j - 5)*(j + 2)/4
Solve 2*b**3 + 50*b**2/3 + 50*b/3 - 250/3 = 0.
-5, 5/3
Suppose 5*i**3 + 220*i**2 + 2420*i = 0. Calculate i.
-22, 0
Solve -l**2 + 51*l - 144 = 0.
3, 48
Factor 5*t**4 - 15*t**2 + 10*t.
5*t*(t - 1)**2*(t + 2)
Find 