
5*(t - 4)**2*(t - 2)
Factor -2*o**5 + 16*o**4 - 36*o**3 + 32*o**2 - 10*o.
-2*o*(o - 5)*(o - 1)**3
Solve -5*c**4 - 1280*c**3 - 79320*c**2 + 332800*c - 338000 = 0.
-130, 2
Factor 3*u**4 + 69*u**3 - 228*u**2 + 156*u.
3*u*(u - 2)*(u - 1)*(u + 26)
Determine i so that 4*i**2/3 - 36544*i/3 + 83466496/3 = 0.
4568
Factor -5*f**3 - 525*f**2 + 1070*f.
-5*f*(f - 2)*(f + 107)
Suppose 2*h**4 + 50*h**3 + 356*h**2 + 600*h - 1008 = 0. Calculate h.
-14, -6, 1
Determine b so that 25*b**4/4 + 65*b**3/4 + 8*b**2 + b = 0.
-2, -2/5, -1/5, 0
Suppose 12*c**2 - 4287*c - 3222 = 0. What is c?
-3/4, 358
Determine u, given that -2*u**3/19 + 6*u**2/19 - 4*u/19 = 0.
0, 1, 2
Find k such that -k**4/9 + 34*k**3/9 - 253*k**2/9 - 68*k - 36 = 0.
-1, 18
Let -3*f**2 - 7440*f + 7443 = 0. What is f?
-2481, 1
Factor -3*t**2 + 246*t + 2457.
-3*(t - 91)*(t + 9)
Factor 2*m**2/7 - 50*m/7 - 52/7.
2*(m - 26)*(m + 1)/7
Factor -21*d**4 - 444*d**3/7 - 450*d**2/7 - 156*d/7 - 3/7.
-3*(d + 1)**3*(49*d + 1)/7
Factor 2*d**3/9 + 8*d**2/9 - 2*d/3 - 4.
2*(d - 2)*(d + 3)**2/9
Solve -o**4 + 7*o**3/2 - 3*o**2 = 0.
0, 3/2, 2
Determine j so that -j**5 + 9*j**4 - 22*j**3 - 12*j**2 + 104*j - 96 = 0.
-2, 2, 3, 4
Determine p, given that -2*p**5 - 16*p**4/3 - 8*p**3/3 + 4*p**2 + 14*p/3 + 4/3 = 0.
-1, -2/3, 1
Find n, given that 2*n**4/3 - 160*n**3/3 + 3644*n**2/3 - 5920*n + 8214 = 0.
3, 37
Solve 6889*w**4/4 + 20501*w**3/2 + 60013*w**2/4 - 741*w + 9 = 0.
-3, 2/83
What is n in 3*n**4 + 453*n**3 + 16872*n**2 - 17328*n = 0?
-76, 0, 1
Find r such that -r**2/4 + 137*r/2 - 18769/4 = 0.
137
Factor 242*v**4/7 + 1056*v**3/7 + 1328*v**2/7 + 384*v/7 + 32/7.
2*(v + 2)**2*(11*v + 2)**2/7
What is x in -3*x**2 + 498*x - 20667 = 0?
83
What is u in -u**2/3 - 113*u = 0?
-339, 0
Determine t, given that 4*t**4 - 28*t**3 + 44*t**2 + 28*t - 48 = 0.
-1, 1, 3, 4
Let -2*h**5 + 18*h**4 - 62*h**3 + 102*h**2 - 80*h + 24 = 0. Calculate h.
1, 2, 3
Solve 2*s**4/7 - 2*s**3 - 2*s**2 + 110*s/7 - 12 = 0.
-3, 1, 2, 7
Factor -2*z**4/7 + 116*z**3/7 - 97556*z/7 + 1414562/7.
-2*(z - 29)**3*(z + 29)/7
Suppose -27*a**2/5 - 420*a + 468/5 = 0. What is a?
-78, 2/9
Let -20*n**5 - 95*n**4 + 305*n**3 + 650*n**2 - 1620*n + 360 = 0. Calculate n.
-6, -3, 1/4, 2
Factor 2*c**3/9 + 40*c**2/9 + 218*c/9 + 20.
2*(c + 1)*(c + 9)*(c + 10)/9
Find d such that d**3 + 76*d**2 + 1645*d + 7350 = 0.
-35, -6
Let -8*n**5 + 2*n**4 + 16*n**3 - 4*n**2 - 8*n + 2 = 0. Calculate n.
-1, 1/4, 1
Factor -4*p**2 - 3944*p - 972196.
-4*(p + 493)**2
Find z such that -z**5 - 4*z**4 - 6*z**3 - 4*z**2 - z = 0.
-1, 0
Find a such that -5*a**4 + 30*a**3 + 205*a**2 - 30*a - 200 = 0.
-4, -1, 1, 10
Factor 5*h**5 + 25*h**4 + 20*h**3 - 80*h**2 - 160*h - 80.
5*(h - 2)*(h + 1)*(h + 2)**3
Solve -2*y**3/9 - 308*y**2/3 = 0 for y.
-462, 0
Factor p**3/2 + 32*p**2 + 120*p.
p*(p + 4)*(p + 60)/2
Determine j, given that 2*j**3 - 18*j**2 - 68*j - 48 = 0.
-2, -1, 12
Factor 4*t**4 + 44*t**3 + 36*t**2 - 44*t - 40.
4*(t - 1)*(t + 1)**2*(t + 10)
Factor 3*m**4/2 - 9*m**3 + 27*m**2/2 - 6*m.
3*m*(m - 4)*(m - 1)**2/2
Let -g**3 - g**2 + 9*g + 9 = 0. What is g?
-3, -1, 3
Determine h so that 12*h**4 + 134*h**3 + 392*h**2 + 294*h = 0.
-7, -3, -7/6, 0
Let n**2/7 - 421*n - 2948/7 = 0. What is n?
-1, 2948
Factor 2*z**2/15 - 616*z/15 - 248/3.
2*(z - 310)*(z + 2)/15
Suppose -3*k**2 + 29*k/3 - 20/3 = 0. Calculate k.
1, 20/9
Solve 5*k**3 - 115*k**2 - 5*k + 115 = 0.
-1, 1, 23
Factor 3*j**3 + 25*j**2 + 8*j.
j*(j + 8)*(3*j + 1)
Suppose -3*h**3 + 54*h**2 - 141*h + 90 = 0. What is h?
1, 2, 15
Factor -2*w**3/13 + 492*w**2/13 - 490*w/13.
-2*w*(w - 245)*(w - 1)/13
Suppose 222*y**4 - 218*y**3 - 448*y**2 - 8*y = 0. Calculate y.
-1, -2/111, 0, 2
Factor 5*p**2/2 + 1015*p/4 + 375.
5*(p + 100)*(2*p + 3)/4
Let -11*i**3/9 - 394*i**2/9 + 8*i = 0. What is i?
-36, 0, 2/11
Factor -5*t**2 - 80*t - 140.
-5*(t + 2)*(t + 14)
Factor -4*v**3 - 352*v**2 + 4*v + 352.
-4*(v - 1)*(v + 1)*(v + 88)
Factor 3*v**2 + 1398*v + 162867.
3*(v + 233)**2
Factor 2*g**2 - 36*g + 144.
2*(g - 12)*(g - 6)
Solve -2*v**4/5 - 2*v**3 + 28*v**2/5 = 0.
-7, 0, 2
Factor -5*h**3 + 180*h**2 + 1260*h.
-5*h*(h - 42)*(h + 6)
Factor -9*a**3 + 114*a**2 - 69*a - 36.
-3*(a - 12)*(a - 1)*(3*a + 1)
Factor -3*k**2/4 - 324*k - 1293/4.
-3*(k + 1)*(k + 431)/4
Let 25*a**5 + 3155*a**4 + 26939*a**3 + 3253*a**2 - 16344*a + 4212 = 0. What is a?
-117, -9, -1, 2/5
Suppose -t**2/5 + 119*t/5 - 784/5 = 0. What is t?
7, 112
Let -3*r**5/5 + 177*r**4/5 - 2109*r**3/5 - 15537*r**2/5 + 2112*r/5 + 3072 = 0. What is r?
-5, -1, 1, 32
Let -4*p**3 - 136*p**2/3 + 84*p - 104/3 = 0. Calculate p.
-13, 2/3, 1
Solve h**4/2 + 11*h**3/2 - h**2/2 - 11*h/2 = 0.
-11, -1, 0, 1
Factor -3*q**2 - 240*q - 2100.
-3*(q + 10)*(q + 70)
Factor 2*o**5 + 8*o**4 + 4*o**3 - 8*o**2 - 6*o.
2*o*(o - 1)*(o + 1)**2*(o + 3)
Factor 3*c**2 + 87*c + 84.
3*(c + 1)*(c + 28)
Let -u**4/3 - 6*u**3 - 85*u**2/3 + 500/3 = 0. What is u?
-10, -5, 2
Factor -9*j**3 - 39*j**2 + 246*j - 144.
-3*(j - 3)*(j + 8)*(3*j - 2)
Find u, given that 20*u**3 + 1928*u**2 + 2668*u + 760 = 0.
-95, -1, -2/5
Determine v, given that -v**3/3 - 19*v**2/3 - 74*v/3 - 56/3 = 0.
-14, -4, -1
Determine z, given that 2*z**3/3 - 28*z**2/3 - 224*z/3 - 320/3 = 0.
-4, -2, 20
Factor -5*n**3 - 380*n**2 - 725*n + 1110.
-5*(n - 1)*(n + 3)*(n + 74)
Find s, given that -s**3/7 - 14*s**2 + 307*s/7 + 404/7 = 0.
-101, -1, 4
Factor -2*r**4 + 30*r**3 + 44*r**2 - 192*r.
-2*r*(r - 16)*(r - 2)*(r + 3)
Find y such that 2*y**2 + 1120*y + 156800 = 0.
-280
Determine c so that 18*c**4/11 + 28*c**3/11 + 2*c**2/11 - 8*c/11 = 0.
-1, 0, 4/9
Determine j so that 2*j**2 + 84*j + 882 = 0.
-21
Let w**4/4 - 63*w**3/4 + 91*w**2/2 - 30*w = 0. What is w?
0, 1, 2, 60
Factor -2*h**4/7 + 1560*h**3/7 - 311900*h**2/7 + 429000*h - 1058750.
-2*(h - 385)**2*(h - 5)**2/7
Factor -c**2/8 - 35*c - 139/2.
-(c + 2)*(c + 278)/8
Suppose -2*v**3 + 146*v**2 - 2736*v + 2592 = 0. Calculate v.
1, 36
Determine d so that 2*d**4 + 14*d**3 - 58*d**2 - 174*d + 216 = 0.
-9, -3, 1, 4
Let 2*x**4 + 110*x**3 - 2*x**2 - 110*x = 0. What is x?
-55, -1, 0, 1
Suppose -y**5/4 - y**4/4 + y**3 + y**2 = 0. Calculate y.
-2, -1, 0, 2
Solve t**2/8 + 835*t/4 + 697225/8 = 0.
-835
Suppose 2*j**5 + 60*j**4/7 - 166*j**3/7 - 108*j**2/7 + 152*j/7 + 48/7 = 0. Calculate j.
-6, -1, -2/7, 1, 2
Let -2*w**3/9 + 2096*w**2/9 - 698*w/3 = 0. What is w?
0, 1, 1047
Factor 2*u**3/3 - 82*u**2/3 + 950*u/3 - 722.
2*(u - 19)**2*(u - 3)/3
Let 3*s**5 + 30*s**4 - 51*s**3 - 198*s**2 = 0. Calculate s.
-11, -2, 0, 3
Factor -u**4/4 - 832*u**3 - 1038336*u**2 - 575930368*u - 119793516544.
-(u + 832)**4/4
Let -2*h**2/5 + 4*h/5 - 2/5 = 0. Calculate h.
1
Suppose -7*o**3/2 - 265*o**2/6 + 18*o + 26/3 = 0. What is o?
-13, -2/7, 2/3
Let -5*r**2 - 40*r - 75 = 0. Calculate r.
-5, -3
Factor 3*j**4/4 + 3*j**3/2 - 15*j**2/4 - 9*j/2.
3*j*(j - 2)*(j + 1)*(j + 3)/4
Factor 2*m**4/21 + 4*m**3/21 + 2*m**2/21.
2*m**2*(m + 1)**2/21
Let -20*f**3 - 84*f**2 - 96*f - 16 = 0. What is f?
-2, -1/5
Solve n**2 + 28*n + 27 = 0.
-27, -1
Factor 3*v**4 + 12*v**3 - 15*v**2.
3*v**2*(v - 1)*(v + 5)
Determine g so that 36*g**5 + 2964*g**4 - 2072*g**3 - 6672*g**2 - 2656*g = 0.
-83, -2/3, 0, 2
Factor -s**2/9 - 2*s/3 - 5/9.
-(s + 1)*(s + 5)/9
Factor 2*z**5/17 + 88*z**4/17 + 252*z**3/17 + 248*z**2/17 + 82*z/17.
2*z*(z + 1)**3*(z + 41)/17
Find a such that 4*a**2 - 128*a/5 - 564/5 = 0.
-3, 47/5
Factor -2*j**3/15 + 46*j**2/15 - 114*j/5 + 54.
-2*(j - 9)**2*(j - 5)/15
Solve -u**3/3 + 10*u**2 + 21*u + 32/3 = 0 for u.
-1, 32
Factor -2*h**3/9 - 14*h**2/9 + 4*h.
-2*h*(h - 2)*(h + 9)/9
Determine v so that -v**2/9 - 26*v/3 - 25 = 0.
-75, -3
Determine b so that -3*b**3 - 69*b**2 - 225*b + 1377 = 0.
-17, -9, 3
Factor -4*y**2 - 104*y - 192.
-4*(y + 2)*(y + 24)
Find u such that -20*u**2 + 13855*u + 3465 = 0.
-1/4, 693
Solve -8*w**4 + 34*w**3 - 32*w**2 + 6*w = 0 for w.
0, 1/4, 1, 3
What is u in -u**5/4 + u**4/4 + 5*u**3/2 + 2*u**2 = 0?
-2, -1, 0, 4
Factor d**3/2 - 4*d**2 - 6*d + 72.
(d - 6)**2*(d + 4)/2
Suppose -d**4/4 + 5*d**3/4 + d**2/4 - 17*d/4 - 3 = 0. What is d?
-1, 3, 4
Determine i so that 3*i**5/7 - 19*i**4/7 + 3*i**3/7 + 163*i**2/7 - 270*i/7 + 72/7 = 0.
-3, 1/3, 2, 3, 4
Determine p, given that -4*p**4/3 + 36*p**3 - 32*p**2 - 208*p/3 = 0.
-1, 0, 2, 26
What is h in h**3 + 17*h**2 + 55*h + 39 = 0?
-13, -3, -1
Find g, given that -5*g**3 - 155*g**2 + 900*g