 - 67)*(y + 2)
Let -d**4/4 + 31*d**3/4 + 151*d**2/4 - 391*d/4 + 105/2 = 0. What is d?
-6, 1, 35
Solve 26*d**3/7 - 174*d**2/7 + 100*d/7 + 48/7 = 0 for d.
-4/13, 1, 6
Solve -r**2/8 + 101*r/4 = 0.
0, 202
What is s in 4*s**3 + 13512*s**2 + 15214512*s + 5710513504 = 0?
-1126
Factor -k**4 - 538*k**3 - 72360*k**2 + 538*k + 72361.
-(k - 1)*(k + 1)*(k + 269)**2
Solve -j**5 - 701*j**4/6 - 6921*j**3/2 - 2784*j**2 + 1682*j/3 = 0 for j.
-58, -1, 0, 1/6
Determine j so that 24*j**4 - 224*j**3 + 558*j**2 - 486*j + 108 = 0.
1/3, 3/2, 6
Factor 12*t**3 - 2966*t**2 + 184992*t - 211806.
2*(t - 123)**2*(6*t - 7)
Solve -3*p**5/2 - 4*p**4 + 327*p**3/2 - 54*p**2 = 0.
-12, 0, 1/3, 9
Factor 3*d**3/5 + 639*d**2/5 + 1269*d/5 + 633/5.
3*(d + 1)**2*(d + 211)/5
Solve -o**4 + 3*o**3 + 158*o**2 - 1056*o + 896 = 0.
-14, 1, 8
Determine l so that 4*l**4/5 - 764*l**3/5 + 38292*l**2/5 - 168516*l/5 - 207576/5 = 0.
-1, 6, 93
Solve 2*r**5/7 + 8*r**4/7 + 6*r**3/7 - 8*r**2/7 - 8*r/7 = 0 for r.
-2, -1, 0, 1
Factor -a**4/5 + 6803*a**3/5 - 15424668*a**2/5 + 2330152272*a + 11666192832/5.
-(a - 2268)**3*(a + 1)/5
Determine y, given that -5*y**4 - 2030*y**3 - 6055*y**2 - 4030*y = 0.
-403, -2, -1, 0
Suppose -5*q**3 - 225*q**2 - 2835*q - 10935 = 0. What is q?
-27, -9
Suppose 4*b**5 - 108*b**4 + 812*b**3 - 2388*b**2 + 2448*b = 0. What is b?
0, 3, 4, 17
Factor v**3 + 13*v**2 - 30*v.
v*(v - 2)*(v + 15)
Let -2*i**5/9 - 104*i**4/9 - 194*i**3/9 + 316*i**2/9 + 808*i/9 + 400/9 = 0. Calculate i.
-50, -2, -1, 2
Determine m, given that 3*m**2 + 2880*m + 691200 = 0.
-480
Determine g, given that -4*g**5/11 + 122*g**4/11 + 458*g**3/11 + 602*g**2/11 + 338*g/11 + 68/11 = 0.
-1, -1/2, 34
Determine w, given that -2*w**2/23 + 40*w/23 - 72/23 = 0.
2, 18
Factor -3*z**3 + 27*z**2 + 75*z - 99.
-3*(z - 11)*(z - 1)*(z + 3)
Solve -m**3 + 10*m**2 + 37*m + 26 = 0 for m.
-2, -1, 13
Factor 4*o**3 - 84*o**2 + 480*o - 400.
4*(o - 10)**2*(o - 1)
Factor 4*n**4 + 36*n**3 - 144*n**2 + 16*n + 192.
4*(n - 2)**2*(n + 1)*(n + 12)
Find y such that -3*y**3/2 - 90*y**2 = 0.
-60, 0
Find x such that -4*x**3/3 + 845*x**2/3 - 44308*x/3 - 11236 = 0.
-3/4, 106
Factor -3*a**3 - 159*a**2 - 2025*a + 2187.
-3*(a - 1)*(a + 27)**2
Factor -y**3 - 921*y**2 - 282747*y - 28934443.
-(y + 307)**3
Factor 4*q**3/3 - 488*q**2/3 + 5548*q - 34656.
4*(q - 57)**2*(q - 8)/3
What is t in -2*t**4/9 + 2*t**3/3 + 680*t**2/9 = 0?
-17, 0, 20
Solve -14*g**3 - 10*g**2 + 544*g/7 - 384/7 = 0 for g.
-3, 8/7
Find k such that -k**5/4 - 43*k**4/4 - 559*k**3/4 - 1665*k**2/4 + 1296*k - 729 = 0.
-18, -9, 1
Suppose 3*s**2 + 42*s - 45 = 0. Calculate s.
-15, 1
Determine c, given that c**5 - 30*c**4 + 172*c**3 + 1176*c**2 - 5888*c + 6144 = 0.
-6, 2, 16
Factor -4*a**2 + 1296*a - 104976.
-4*(a - 162)**2
Factor 3*z**2/2 + 120*z - 246.
3*(z - 2)*(z + 82)/2
Find z, given that -20*z**3 - 872*z**2 - 6908*z + 2904 = 0.
-33, -11, 2/5
Find b such that 2*b**5 - 24*b**4 - 26*b**3 + 336*b**2 - 288*b = 0.
-4, 0, 1, 3, 12
Suppose -x**4 + 906*x**3 - 208801*x**2 + 1627176*x - 3225616 = 0. What is x?
4, 449
Let 2*b**4 + 32*b**3 + 96*b**2 = 0. Calculate b.
-12, -4, 0
Determine p, given that -5*p**2 - 600*p - 8320 = 0.
-104, -16
Factor -15*n**3 + 87*n**2 - 120*n + 48.
-3*(n - 4)*(n - 1)*(5*n - 4)
Factor 5*l**2 - 2760*l + 380880.
5*(l - 276)**2
Factor -2*x**2 - 80*x - 78.
-2*(x + 1)*(x + 39)
Determine q so that -q**4/4 - 57*q**3/2 - 4393*q**2/4 - 16302*q - 81796 = 0.
-44, -13
Factor -4*d**2/7 + 72*d/7 + 76/7.
-4*(d - 19)*(d + 1)/7
Find n, given that -20*n**5 - 220*n**4 - 725*n**3 - 110*n**2 + 3200*n + 4000 = 0.
-4, -5/2, 2
Determine k so that k**3/10 + 3*k**2/5 = 0.
-6, 0
Find a such that 2*a**4/19 + 6*a**3/19 + 6*a**2/19 + 2*a/19 = 0.
-1, 0
What is g in g**4/3 - 38*g**3/3 + 73*g**2/3 - 12*g = 0?
0, 1, 36
Factor -2*q**4 + 94*q**3 + 1490*q**2 + 4298*q - 5880.
-2*(q - 60)*(q - 1)*(q + 7)**2
Factor 2*g**3/7 - 4*g**2 - 2*g/7 + 4.
2*(g - 14)*(g - 1)*(g + 1)/7
Solve 4*v**3/3 - 104*v**2/3 + 700*v/3 - 200 = 0.
1, 10, 15
Factor -5*t**4 + 45*t**3 + 125*t**2 - 165*t.
-5*t*(t - 11)*(t - 1)*(t + 3)
Factor b**5 + 71*b**4 + 1147*b**3 - 4103*b**2 + 296*b + 5476.
(b - 2)**2*(b + 1)*(b + 37)**2
Find s such that -4*s**2/17 - 18*s/17 - 14/17 = 0.
-7/2, -1
What is d in 2*d**5/23 - 106*d**4/23 + 402*d**3/23 - 494*d**2/23 + 196*d/23 = 0?
0, 1, 2, 49
Determine s so that -3*s**5/2 + 15*s**4 + 54*s**3 - 237*s**2 + 519*s/2 - 90 = 0.
-5, 1, 12
Let t**5/9 - 230*t**4/9 - 310*t**3/3 - 1400*t**2/9 - 935*t/9 - 26 = 0. Calculate t.
-1, 234
Let 11*q**2 - 372*q - 68 = 0. Calculate q.
-2/11, 34
Factor 5*q**5 - 25*q**4 + 50*q**3 - 50*q**2 + 25*q - 5.
5*(q - 1)**5
Solve -486*d**5/7 + 1188*d**4/7 - 954*d**3/7 + 228*d**2/7 + 40*d/7 - 16/7 = 0 for d.
-2/9, 1/3, 2/3, 1
Factor -2*a**3/15 - 2*a**2/5 + 8*a/15.
-2*a*(a - 1)*(a + 4)/15
Determine d, given that 180*d**3 + 28*d**2 - 180*d - 28 = 0.
-1, -7/45, 1
Factor 2*k**2/9 - 28652*k/9 + 102617138/9.
2*(k - 7163)**2/9
Factor -u**4/3 - 97*u**3/3 - 364*u**2.
-u**2*(u + 13)*(u + 84)/3
Let 4*y**4/5 + 76*y**3/5 + 356*y**2/5 + 596*y/5 + 312/5 = 0. What is y?
-13, -3, -2, -1
Solve -3*p**2 - 116*p + 160 = 0 for p.
-40, 4/3
Solve 5*c**2 - 70*c - 160 = 0.
-2, 16
Factor -l**2 - 48*l + 49.
-(l - 1)*(l + 49)
Factor -s**3/2 - 11*s**2 - 59*s/2 - 19.
-(s + 1)*(s + 2)*(s + 19)/2
Let -z**3 + 24*z**2 + 411*z - 910 = 0. Calculate z.
-13, 2, 35
Factor 4*t**3/5 + 488*t**2/5 + 3072*t + 5760.
4*(t + 2)*(t + 60)**2/5
Factor 5*q**5/3 + 20*q**4 + 95*q**3 + 670*q**2/3 + 260*q + 120.
5*(q + 2)**3*(q + 3)**2/3
Solve 3*r**5 + 24*r**4 - 54*r**3 - 276*r**2 - 309*r - 108 = 0 for r.
-9, -1, 4
Suppose 2*i**2/7 + 10*i/7 - 48/7 = 0. What is i?
-8, 3
Factor 2*c**3/7 + 26*c**2/7 + 24*c/7.
2*c*(c + 1)*(c + 12)/7
Factor u**4/8 + 67*u**3/4 + 33*u**2/2 - 67*u/4 - 133/8.
(u - 1)*(u + 1)**2*(u + 133)/8
Factor 4*x**3 - 12*x**2 - 180*x - 324.
4*(x - 9)*(x + 3)**2
Determine q so that 2*q**3/3 + 4*q**2 - 74*q/3 + 20 = 0.
-10, 1, 3
Factor 2*d**4/3 - 4*d**3/3 - 2*d**2/3 + 4*d/3.
2*d*(d - 2)*(d - 1)*(d + 1)/3
Solve 7*w**3 - 962*w**2 - 555*w + 414 = 0.
-1, 3/7, 138
Suppose 2*m**5/3 - 4*m**4 - 118*m**3/3 - 96*m**2 - 280*m/3 - 32 = 0. What is m?
-2, -1, 12
Factor -2*h**5/17 - 66*h**4/17 - 186*h**3/17 - 182*h**2/17 - 60*h/17.
-2*h*(h + 1)**3*(h + 30)/17
Determine x, given that 2*x**3 + 128*x**2 - 538*x + 408 = 0.
-68, 1, 3
Factor 3*d**3/8 + 21*d**2/8 - 15*d/8 - 225/8.
3*(d - 3)*(d + 5)**2/8
Factor 2*n**2/9 + 20*n/9 - 16/3.
2*(n - 2)*(n + 12)/9
Find x, given that 4*x**2 - 140*x + 136 = 0.
1, 34
Let -p**2/2 - p/2 = 0. Calculate p.
-1, 0
Factor 5*k**2 + 20*k - 60.
5*(k - 2)*(k + 6)
Suppose -9*v**4 - 714*v**3 - 14613*v**2 - 17316*v + 18252 = 0. Calculate v.
-39, -2, 2/3
Find i, given that 3*i**4/4 - 18*i**3 - 39*i**2/2 + 18*i + 75/4 = 0.
-1, 1, 25
Determine k so that -2*k**3/23 - 206*k**2/23 - 2912*k/23 - 11136/23 = 0.
-87, -8
Find f, given that 5*f**2 - 8500*f + 3612500 = 0.
850
Solve q**2 + q - 2 = 0 for q.
-2, 1
What is t in -3*t**5/7 + 12*t**4/7 + 9*t**3/7 - 6*t**2 + 24*t/7 = 0?
-2, 0, 1, 4
Determine h, given that h**5/4 - h**4/2 - 11*h**3/4 + 2*h**2 + 5*h - 4 = 0.
-2, 1, 4
What is d in 3*d**2/2 + 4473*d/2 + 6696 = 0?
-1488, -3
Find z, given that z**4 + 3514*z**3 + 3087049*z**2 = 0.
-1757, 0
Determine h, given that -h**2/11 - 26*h/11 - 153/11 = 0.
-17, -9
Factor 2*n**2/7 + 506*n/7 + 1004/7.
2*(n + 2)*(n + 251)/7
Solve -20*u**4 + 132*u**3 + 228*u**2 - 20*u - 96 = 0 for u.
-1, 3/5, 8
Find u such that 4*u**4 - 200*u**3 + 2692*u**2 - 4800*u + 2304 = 0.
1, 24
Factor 4*n**4/3 - 32*n**3 + 216*n**2 - 576*n + 540.
4*(n - 15)*(n - 3)**3/3
Factor -5*u**2 + 5110*u.
-5*u*(u - 1022)
Factor 3*s**4 - 18*s**3 - 9*s**2 + 60*s - 36.
3*(s - 6)*(s - 1)**2*(s + 2)
Determine x so that -x**4/3 - 5*x**3 - 14*x**2/3 = 0.
-14, -1, 0
Let -2*v**2 + 6*v = 0. What is v?
0, 3
Solve -16*w**2 - 17*w - 1 = 0 for w.
-1, -1/16
Solve -80*a**5 - 280*a**4 + 2115*a**3 + 1105*a**2 + 140*a = 0 for a.
-7, -1/4, 0, 4
Suppose -2*n**2 - 5628*n - 3959298 = 0. What is n?
-1407
Factor -2*z**5/5 + 4*z**4/5 - 4*z**2/5 + 2*z/5.
-2*z*(z - 1)**3*(z + 1)/5
Suppose -8*c**4 + 164*c**3 - 1273*c**2/2 - 699*c/2 - 45 = 0. Calculate c.
-1/4, 6, 15
Solve 4*n**3 + 88*n**2 + 484*n = 0.
-11, 0
Find w, given that -961*w**4/2 + 27776*w**3 - 398711*w**2 - 77952*w - 7569/2 = 0.
-3/31, 29
Factor l**3/2 - 11*l**2/2 + 35*l/