 - 2)/13
Suppose -3*s**4 + 3*s**3 + 432*s**2 - 432*s = 0. What is s?
-12, 0, 1, 12
Factor y**2/3 - 7*y/3 - 6.
(y - 9)*(y + 2)/3
Determine a, given that -135*a**3/8 - 129*a**2/8 + 69*a/2 - 3/2 = 0.
-2, 2/45, 1
What is d in 4*d**2 - 12*d + 8 = 0?
1, 2
Suppose k**4 - 23*k**3 + 143*k**2 - 121*k = 0. What is k?
0, 1, 11
Factor m**2 + 8184*m + 16744464.
(m + 4092)**2
Factor -x**3 - 75*x**2 + x + 75.
-(x - 1)*(x + 1)*(x + 75)
Suppose g**3 - 119*g**2 + 1764*g - 3060 = 0. What is g?
2, 15, 102
Factor 3*d**3 - 432*d**2 - 2223*d - 1788.
3*(d - 149)*(d + 1)*(d + 4)
Determine g, given that -5*g**4 - 85*g**3 - 420*g**2 - 540*g = 0.
-9, -6, -2, 0
Find t such that 4*t**3 - 292*t**2 - 904*t - 608 = 0.
-2, -1, 76
Find m, given that 3*m**5 + 528*m**4 + 24219*m**3 + 83094*m**2 - 240972*m + 133128 = 0.
-86, -6, 1
Let -4*u**4 - 80*u**3 + 724*u**2 - 928*u - 1728 = 0. Calculate u.
-27, -1, 4
Determine z, given that -z**3/6 - 3*z**2 - 16*z/3 = 0.
-16, -2, 0
Suppose 3*y**2/7 - 6*y/7 - 45/7 = 0. Calculate y.
-3, 5
Suppose -o**2 + 268*o + 540 = 0. Calculate o.
-2, 270
Solve 4*j**5 + 8*j**4 - 20*j**3 - 24*j**2 = 0.
-3, -1, 0, 2
Factor -a**4 + a**3 + 3*a**2 - 5*a + 2.
-(a - 1)**3*(a + 2)
Factor 3*q**3/4 - 27*q**2/4 + 3*q/2 + 36.
3*(q - 8)*(q - 3)*(q + 2)/4
Determine h, given that 2*h**2 - 92*h + 176 = 0.
2, 44
Find w such that -16*w**3/5 + 36*w**2/5 + 232*w/5 - 12 = 0.
-3, 1/4, 5
Factor -3*f**3 + 111*f**2 + 894*f + 1320.
-3*(f - 44)*(f + 2)*(f + 5)
Factor 2*f**3/7 - 26*f**2/7 + 60*f/7.
2*f*(f - 10)*(f - 3)/7
Factor d**2 + 51*d - 220.
(d - 4)*(d + 55)
Factor -3*a**3 + 2217*a**2 - 410697*a + 408483.
-3*(a - 369)**2*(a - 1)
Factor 4*x**2 - 44*x + 72.
4*(x - 9)*(x - 2)
Find k, given that k**2/7 + 39*k + 542/7 = 0.
-271, -2
Find q such that 2*q**4/3 - 10*q**3/3 - 254*q**2/3 + 10*q/3 + 84 = 0.
-9, -1, 1, 14
Suppose -z**5/4 + 6093*z**4/4 - 2321052*z**3 + 2319529*z**2 = 0. What is z?
0, 1, 3046
Factor 4*d**4/7 + 52*d**3/7 + 72*d**2/7 - 640*d/7 + 512/7.
4*(d - 2)*(d - 1)*(d + 8)**2/7
Factor -k**4/3 + 7*k**2/3 - 2*k.
-k*(k - 2)*(k - 1)*(k + 3)/3
Factor r**3 - 11*r**2 - 25*r - 13.
(r - 13)*(r + 1)**2
Let -759*x**5 - 762*x**4 + 3*x**3 + 6*x**2 = 0. What is x?
-1, -1/11, 0, 2/23
Factor -3*z**2 + 57*z - 270.
-3*(z - 10)*(z - 9)
Find q such that 2*q**5/9 - 10*q**4/9 - 172*q**3/9 - 52*q**2 - 6*q + 78 = 0.
-3, 1, 13
Solve -8*x**2 - 180*x - 88 = 0 for x.
-22, -1/2
What is r in -2*r**5/9 - 2*r**4/9 + 2*r**3/3 + 10*r**2/9 + 4*r/9 = 0?
-1, 0, 2
Solve -z**2 + 2*z + 63 = 0 for z.
-7, 9
Solve 5*a**5 - 15*a**4 + 20*a**2 = 0.
-1, 0, 2
Factor -5*w**2 + 90*w + 95.
-5*(w - 19)*(w + 1)
Factor 5*d**3 - 1940*d**2 + 184240*d + 768320.
5*(d - 196)**2*(d + 4)
Factor 545*a**2 - 30*a.
5*a*(109*a - 6)
Solve 4*b**4 - 60*b**3 - 372*b**2 - 548*b - 240 = 0.
-3, -1, 20
Let -4*u**4/7 + 1480*u**3/7 - 136896*u**2/7 - 1480*u/7 + 136900/7 = 0. What is u?
-1, 1, 185
Let -3*q**4/4 - 9*q**3 + 3*q**2/4 + 9*q = 0. What is q?
-12, -1, 0, 1
Solve -3*p**2/2 - 132*p - 2178 = 0 for p.
-66, -22
Determine a so that -a**5/2 + 2285*a**4/2 + 4575*a**3 + 6865*a**2 + 9155*a/2 + 2289/2 = 0.
-1, 2289
What is q in -2*q**5 - 44*q**4 - 30*q**3 + 252*q**2 = 0?
-21, -3, 0, 2
Factor -2*r**4/17 - 1748*r**3/17 - 385418*r**2/17 - 1520760*r/17 - 1513800/17.
-2*(r + 2)**2*(r + 435)**2/17
Factor s**3/7 + 3*s**2/7.
s**2*(s + 3)/7
Find u such that -2*u**4 + 56*u**3 + 1464*u**2 + 8576*u + 11776 = 0.
-8, -2, 46
Factor -n**3 - 257*n**2 - 16383*n + 16641.
-(n - 1)*(n + 129)**2
Let g**4 - 106*g**3 + 4032*g**2 - 63488*g + 327680 = 0. What is g?
10, 32
Factor -2*l**3/5 + 4*l**2/5 + 6*l/5.
-2*l*(l - 3)*(l + 1)/5
Find i, given that 5*i**4 - 90*i**3 + 595*i**2 - 1710*i + 1800 = 0.
3, 4, 5, 6
Factor 6*d**4 - 142*d**3 - 52*d**2 + 96*d.
2*d*(d - 24)*(d + 1)*(3*d - 2)
Factor 2*r**5 + 222*r**4 - 224*r**3.
2*r**3*(r - 1)*(r + 112)
Find l, given that -4*l**5 - 4*l**4 + 72*l**3 + 200*l**2 + 188*l + 60 = 0.
-3, -1, 5
Factor -y**4/3 - 4*y**3/3 + 19*y**2/3 - 14*y/3.
-y*(y - 2)*(y - 1)*(y + 7)/3
Find u, given that -2*u**3/11 - 48*u**2/11 + 104*u/11 = 0.
-26, 0, 2
Suppose -6*s**4 + 909*s**3/2 - 8550*s**2 - 2166*s = 0. What is s?
-1/4, 0, 38
Let -4*p**2 + 128*p - 1024 = 0. Calculate p.
16
Determine g so that -g**5/9 + g**4/9 + 34*g**3/9 - 130*g**2/9 + 53*g/3 - 7 = 0.
-7, 1, 3
Factor 3*s**4 - 18*s**3 - 693*s**2 - 2940*s.
3*s*(s - 20)*(s + 7)**2
What is m in 4*m**2 + 24832*m + 38539264 = 0?
-3104
Factor -x**2/4 + 26*x.
-x*(x - 104)/4
What is m in -6*m**3 + 10*m**2 + 52*m + 16 = 0?
-2, -1/3, 4
Factor -b**4/4 - b**3/2 + b**2 + 2*b.
-b*(b - 2)*(b + 2)**2/4
Factor 4*c**3 - 296*c**2 + 1844*c + 2144.
4*(c - 67)*(c - 8)*(c + 1)
Find z, given that 2*z**3/9 - 14*z**2/3 + 32*z - 640/9 = 0.
5, 8
Solve -40*i**5 - 45*i**4 + 115*i**3 + 55*i**2 - 75*i - 10 = 0 for i.
-2, -1, -1/8, 1
Suppose -5*c**2 + 445*c + 3880 = 0. Calculate c.
-8, 97
Solve -b**2/4 + 7*b/4 + 2 = 0.
-1, 8
Suppose -2*l**5/3 + 4*l**4/3 + 4*l**3 - 8*l**2/3 - 26*l/3 - 4 = 0. What is l?
-1, 2, 3
Factor 2*v**5/9 + 4*v**4/3.
2*v**4*(v + 6)/9
Factor -3*c**2/5 - 39*c/5 + 18.
-3*(c - 2)*(c + 15)/5
Let -189*c**5 + 555*c**4 + 561*c**3 - 1959*c**2 + 1212*c - 180 = 0. What is c?
-2, 2/9, 5/7, 1, 3
Let 4*t**2 + 52*t + 160 = 0. What is t?
-8, -5
Find a, given that 2*a**4/11 + 4*a**3/11 - 42*a**2/11 - 4*a + 80/11 = 0.
-5, -2, 1, 4
Solve 5*x**3 + 181*x**2 + 211*x + 35 = 0 for x.
-35, -1, -1/5
Find f, given that 5*f**5/2 + 31*f**4/2 - 59*f**3/2 - 223*f**2/2 - 21*f = 0.
-7, -2, -1/5, 0, 3
Find t, given that -3*t**3 - 93*t**2 - 336*t - 324 = 0.
-27, -2
Factor 3*o**2/10 - 449*o/5 - 60.
(o - 300)*(3*o + 2)/10
Factor -2*w**3/17 + 182*w**2/17 + 1164*w/17.
-2*w*(w - 97)*(w + 6)/17
Solve 4*y**4/5 - 24*y**3/5 + 88*y/5 + 12 = 0 for y.
-1, 3, 5
Find m, given that 3*m**2/5 - 19908*m/5 + 33027372/5 = 0.
3318
Factor 3*s**3 - 297*s**2 + 7497*s - 7203.
3*(s - 49)**2*(s - 1)
Factor 44*q**3 + 56*q**2 - 64*q.
4*q*(q + 2)*(11*q - 8)
Suppose 3*w**4/2 + 297*w**3/2 + 4338*w**2 + 30360*w - 34848 = 0. What is w?
-44, -12, 1
Solve 28*x**5 - 904*x**4 + 1068*x**3 + 1504*x**2 - 496*x = 0.
-1, 0, 2/7, 2, 31
Factor 2*u**3/7 + 32*u**2/7 + 82*u/7 + 52/7.
2*(u + 1)*(u + 2)*(u + 13)/7
Factor c**4 - 648*c**3 - 3912*c**2 - 7840*c - 5232.
(c - 654)*(c + 2)**3
Factor -3*h**2 - 132*h - 1452.
-3*(h + 22)**2
Find y, given that -2*y**5 + 66*y**4 - 126*y**3 + 62*y**2 = 0.
0, 1, 31
Suppose 4*s**5 - 24*s**4 - 40*s**3 + 208*s**2 + 420*s + 200 = 0. Calculate s.
-2, -1, 5
Factor 3*l**3/8 + 615*l**2/8 + 3822*l - 12168.
3*(l - 3)*(l + 104)**2/8
Solve v**2 - 1123*v + 1122 = 0.
1, 1122
Let -4*n**3/7 + 48*n**2/7 - 44*n/7 = 0. Calculate n.
0, 1, 11
Determine h so that 4*h**3/7 - 92*h**2/7 + 172*h/7 - 12 = 0.
1, 21
Let 5*v**2 - 295*v + 840 = 0. Calculate v.
3, 56
Determine i, given that 2*i**2/5 + 28*i/5 + 98/5 = 0.
-7
Factor -2*n**3/7 + 16*n**2/7 + 120*n/7 - 288/7.
-2*(n - 12)*(n - 2)*(n + 6)/7
Find b such that 2*b**5/7 - 24*b**4/7 - 232*b**3/7 + 276*b**2/7 + 230*b/7 - 36 = 0.
-7, -1, 1, 18
Factor -5*q**3 + 195*q**2 - 870*q + 680.
-5*(q - 34)*(q - 4)*(q - 1)
Find n such that -n**2/5 + 21*n/5 - 38/5 = 0.
2, 19
Factor -v**3/7 - 13*v**2/7 - 5*v + 7.
-(v - 1)*(v + 7)**2/7
Determine m so that m**4/2 - 27*m**3 + 749*m**2/2 - 348*m = 0.
0, 1, 24, 29
Suppose -5*x**2/4 - 115*x/4 - 95 = 0. What is x?
-19, -4
Factor -h**3/2 - 77*h**2 - 5265*h/2 + 26244.
-(h - 8)*(h + 81)**2/2
Determine k, given that 5*k**2 - 75*k - 170 = 0.
-2, 17
Let 2*q**4 + 28*q**3 + 96*q**2 - 28*q - 98 = 0. Calculate q.
-7, -1, 1
Find m such that m**3/7 - 2*m**2/7 - 9*m/7 + 18/7 = 0.
-3, 2, 3
Factor 2*n**2/7 - 170*n/7.
2*n*(n - 85)/7
Factor -s**2/3 + 2*s + 7/3.
-(s - 7)*(s + 1)/3
Let 2*p**3 - 82*p**2 + 228*p = 0. Calculate p.
0, 3, 38
Factor -4*c**2 + 23500*c - 23496.
-4*(c - 5874)*(c - 1)
Determine k so that -6*k**5/5 - 188*k**4/5 - 692*k**3/5 + 384*k**2/5 + 3114*k/5 + 972/5 = 0.
-27, -3, -1/3, 2
What is v in -1127*v**2 + 3383*v/3 - 2/3 = 0?
2/3381, 1
Suppose s**2/2 - 5*s + 12 = 0. Calculate s.
4, 6
What is t in -3*t**4/4 - 323*t**3/2 + 765*t**2 - 1098*t + 440 = 0?
-220, 2/3, 2
Factor -5*j**5 + 80*j**4 - 305*j**3 + 310*j**2 + 260*j - 440.
-5*(j - 11)*(j - 2)**3*(j + 1)
Determine j, given that -5*j**3 - 10935*j**2 + 10940*j = 0.
-2188, 0, 1
Solve 2*i**4 + 7*i**3 - 17*i**2 - 10*i = 0 for i.
-5, -1/2, 0, 2
Find o, given that 3*o**5 +