-2355*x**2 + 1705*x - 90 = 0.
9/157, 2/3
Factor -4*c**2 - 16*c + 240.
-4*(c - 6)*(c + 10)
Factor 5*c**2 - 6640*c + 6635.
5*(c - 1327)*(c - 1)
Solve 3*s**2 - 96*s + 180 = 0 for s.
2, 30
Determine i, given that -27*i**4 + 489*i**3 + 999*i**2 + 423*i - 60 = 0.
-1, 1/9, 20
Factor y**2/2 + 13*y/2 + 15.
(y + 3)*(y + 10)/2
Factor -v**3/10 + 13*v**2/10 - 11*v/5.
-v*(v - 11)*(v - 2)/10
Factor p**3/6 - 11*p**2/6 - 8*p/3 + 160/3.
(p - 8)**2*(p + 5)/6
Determine g so that 2*g**3/3 + 2*g**2 - 80*g/3 = 0.
-8, 0, 5
Let 3*f**2/4 - 75*f/4 + 69/2 = 0. Calculate f.
2, 23
Let -3*m**5/2 + 19*m**4/4 - 4*m**3 + m**2 = 0. Calculate m.
0, 1/2, 2/3, 2
Solve -20*o**5 - 205*o**4 + 410*o**3 - 125*o**2 - 60*o = 0.
-12, -1/4, 0, 1
Suppose z**2/8 + 7*z/4 + 49/8 = 0. What is z?
-7
Factor -3*v**3/5 + 63*v**2/5 + 651*v/5 + 261.
-3*(v - 29)*(v + 3)*(v + 5)/5
Factor p**4/2 + 19*p**3/6 - 7*p**2 - 8*p/3.
p*(p - 2)*(p + 8)*(3*p + 1)/6
Determine x, given that -4*x**2 + 672*x - 28224 = 0.
84
Let 3*h**4 - 195*h**3 + 2862*h**2 + 9996*h + 6936 = 0. What is h?
-2, -1, 34
Suppose -5*p**4 - 25*p**3 + 15*p**2 + 65*p - 50 = 0. What is p?
-5, -2, 1
Suppose -9*k**5 - 48*k**4 + 174*k**3 - 144*k**2 + 3*k + 24 = 0. What is k?
-8, -1/3, 1
Factor 66*a**2/7 + 804*a/7 + 738/7.
6*(a + 1)*(11*a + 123)/7
Factor -345*g**3 + 700*g**2 - 20*g.
-5*g*(g - 2)*(69*g - 2)
Solve 13*p**2/3 - p/3 = 0.
0, 1/13
Factor a**5 + 5*a**4 + 6*a**3 - 2*a**2 - 7*a - 3.
(a - 1)*(a + 1)**3*(a + 3)
Factor 5*y**3 - 60*y**2 - 705*y + 760.
5*(y - 19)*(y - 1)*(y + 8)
Factor -5*d**5 - 65*d**4 - 330*d**3 - 810*d**2 - 945*d - 405.
-5*(d + 1)*(d + 3)**4
Factor -2*g**2/21 + 24/7.
-2*(g - 6)*(g + 6)/21
Factor 2*h**4 - 34*h**3 + 122*h**2 + 234*h - 324.
2*(h - 9)**2*(h - 1)*(h + 2)
What is y in -3*y**2 - 48*y + 171 = 0?
-19, 3
Suppose -2*f**4/3 - 4*f**3 + 50*f**2/3 - 12*f = 0. Calculate f.
-9, 0, 1, 2
Factor -6*o**3/7 + 27*o**2/7 - 39*o/7 + 18/7.
-3*(o - 2)*(o - 1)*(2*o - 3)/7
Suppose 4*w**5 - 60*w**4 + 264*w**3 - 472*w**2 + 372*w - 108 = 0. What is w?
1, 3, 9
What is v in -2*v**4/9 - 4*v**3/9 + 26*v**2/3 - 16*v = 0?
-8, 0, 3
Solve -3*t**2 - 24*t + 60 = 0.
-10, 2
Find m such that 80*m**5 - 440*m**4 - 2035*m**3 + 3655*m**2 - 1420*m + 160 = 0.
-4, 1/4, 1, 8
What is t in -t**4 - 10*t**3 + 4*t**2 + 40*t = 0?
-10, -2, 0, 2
Determine h, given that 2*h**5/7 + 8*h**4/7 - 4*h**3/7 - 24*h**2/7 + 18*h/7 = 0.
-3, 0, 1
Suppose -2*f**4 - 54*f**3 - 220*f**2 = 0. What is f?
-22, -5, 0
Determine g, given that -2*g**3/5 - 2*g**2 - 6*g/5 + 18/5 = 0.
-3, 1
Factor 165*m**4/4 - 485*m**3/4 + 465*m**2/4 - 135*m/4 - 5/2.
5*(m - 1)**3*(33*m + 2)/4
Factor 5*w**3/3 - 73*w**2/3 - 10*w.
w*(w - 15)*(5*w + 2)/3
Find i such that -4*i**3 + 24*i**2 - 36*i = 0.
0, 3
What is g in 3*g**2 - 1170*g - 2352 = 0?
-2, 392
Factor -4*s**4 + 80*s**3 - 600*s**2 + 2000*s - 2500.
-4*(s - 5)**4
Let -2*r**2/5 - 2*r/5 + 12/5 = 0. What is r?
-3, 2
Find x such that 2*x**3 + 136*x**2 + 266*x + 132 = 0.
-66, -1
Find z, given that 14*z**2/19 - 6500*z/19 + 1856/19 = 0.
2/7, 464
Factor c**2/7 + 27*c/7 - 90/7.
(c - 3)*(c + 30)/7
Suppose -q**3 + 36*q**2 + 75*q + 38 = 0. What is q?
-1, 38
Find n, given that -n**5/2 - 3*n**4 + n**3/2 + 17*n**2 + 6*n - 20 = 0.
-5, -2, 1, 2
Determine v so that -3*v**3 - 111*v**2 = 0.
-37, 0
Suppose 8*d**2/9 + 146*d/9 - 38/3 = 0. Calculate d.
-19, 3/4
Determine q, given that -q**5 - 4*q**4 - 3*q**3 + 4*q**2 + 4*q = 0.
-2, -1, 0, 1
Solve p**3 + 2*p**2 - 31*p + 28 = 0.
-7, 1, 4
Let -q**4/3 + 530*q**3 - 3172*q**2 + 19016*q/3 - 4224 = 0. What is q?
2, 1584
Factor 5*u**2/3 - 962*u/3 + 128.
(u - 192)*(5*u - 2)/3
Determine m, given that 2*m**4/9 - 28*m**3/9 + 46*m**2/3 - 280*m/9 + 200/9 = 0.
2, 5
Factor 9*p**2 + 591*p + 390.
3*(p + 65)*(3*p + 2)
Factor -5*d**5 + 685*d**4 - 23115*d**3 - 23805*d**2.
-5*d**2*(d - 69)**2*(d + 1)
Determine k so that -3*k**4/7 - 144*k**3/7 - 1851*k**2/7 - 450*k = 0.
-25, -21, -2, 0
Factor -3*n**5 - 21*n**4 + 90*n**3.
-3*n**3*(n - 3)*(n + 10)
Determine t so that t**2/4 - 1665*t/2 + 2772225/4 = 0.
1665
Solve 4*h**2 - 64*h + 220 = 0 for h.
5, 11
Solve p**3/3 - 19*p**2/6 + 22*p/3 = 0.
0, 4, 11/2
Suppose 2*h**3/15 - 16*h**2/3 + 146*h/15 + 76/5 = 0. Calculate h.
-1, 3, 38
Factor -b**4/3 - 22*b**3/3 - 56*b**2 - 544*b/3 - 640/3.
-(b + 4)**3*(b + 10)/3
Factor 4*r**2 - 10232*r + 6543364.
4*(r - 1279)**2
Determine d, given that 27*d**5 - 117*d**3 + 2*d**2 + 36*d - 8 = 0.
-2, -2/3, 1/3, 2
Suppose -y**5/2 + 3*y**4/2 - 3*y**3/2 + y**2/2 = 0. What is y?
0, 1
Factor h**2/3 + 23*h/3 - 8.
(h - 1)*(h + 24)/3
Suppose -3*t**3 - 3*t**2 + 6*t = 0. What is t?
-2, 0, 1
Determine h, given that -2*h**5/9 + 50*h**4/9 + 284*h**3/9 + 472*h**2/9 + 80*h/3 = 0.
-2, -1, 0, 30
Solve -m**5 - 9*m**4 + 21*m**3 - 11*m**2 = 0.
-11, 0, 1
Factor -2*v**3/5 + 56*v**2/5 - 382*v/5 + 152.
-2*(v - 19)*(v - 5)*(v - 4)/5
Determine i so that -3*i**2 - 13734*i - 15718563 = 0.
-2289
Factor q**3/6 + 18*q**2 + 1071*q/2 + 2601.
(q + 6)*(q + 51)**2/6
Solve 3*z**2 - 9*z = 0 for z.
0, 3
Factor -11*t**2/2 - 5*t/4.
-t*(22*t + 5)/4
Determine w so that -2*w**3/11 + 1968*w**2/11 + 1970*w/11 = 0.
-1, 0, 985
Find q such that 2*q**4/9 - 4*q**3/3 + 2*q**2 = 0.
0, 3
Determine j so that j**3/9 + 31*j**2/9 + 266*j/9 + 416/9 = 0.
-16, -13, -2
Find u such that -4*u**3/3 + 38*u**2/3 + 22*u/3 - 20/3 = 0.
-1, 1/2, 10
Determine b, given that 5*b**3/2 - 6980*b**2 + 4872040*b = 0.
0, 1396
Factor 5*i**2 + 11800*i + 11795.
5*(i + 1)*(i + 2359)
Factor 16*m**5 + 108*m**4 + 260*m**3 + 248*m**2 + 48*m - 32.
4*(m + 1)*(m + 2)**3*(4*m - 1)
Factor -h**4/4 + 3*h**3/4 + 3*h**2/4 - 7*h/4 - 3/2.
-(h - 3)*(h - 2)*(h + 1)**2/4
Solve -5*k**3/4 - 215*k**2/4 + 225*k/2 = 0 for k.
-45, 0, 2
Factor n**2/4 - n - 3.
(n - 6)*(n + 2)/4
What is c in -c**5 + 2*c**4 + 8*c**3 = 0?
-2, 0, 4
Determine l so that -5*l**2/2 - 8180*l - 6691240 = 0.
-1636
Find c such that c**4/2 - 23*c**3/2 + 11*c**2 = 0.
0, 1, 22
Find w such that -4*w**2 + 9048*w - 5116644 = 0.
1131
Factor -4*o**5 + 32*o**4 + 80*o**3 + 8*o**2 - 76*o - 40.
-4*(o - 10)*(o - 1)*(o + 1)**3
Suppose 5*r**5 - 25*r**4 - 110*r**3 - 80*r**2 = 0. What is r?
-2, -1, 0, 8
Find f such that -2*f**4/3 - 8*f**3/3 + 12*f**2 - 40*f/3 + 14/3 = 0.
-7, 1
Find f such that -f**2/4 + 151*f/2 - 22801/4 = 0.
151
Factor g**3/4 + 63*g**2/2 + 125*g/4.
g*(g + 1)*(g + 125)/4
Find f, given that -f**2/4 - f/2 - 1/4 = 0.
-1
Solve -r**5/2 - r**4 + 4*r**3 + 9*r**2 + 9*r/2 = 0.
-3, -1, 0, 3
Find d, given that -d**2 + 26*d + 1200 = 0.
-24, 50
Solve j**3 + 16*j**2 + 29*j + 14 = 0 for j.
-14, -1
Factor -2*y**2/7 + 36*y/7 - 64/7.
-2*(y - 16)*(y - 2)/7
Factor 3*d**2/2 + 618*d + 63654.
3*(d + 206)**2/2
Factor 4*n**3/7 + 72*n**2 + 3024*n + 42336.
4*(n + 42)**3/7
Factor -2*b**2 - 304*b - 11552.
-2*(b + 76)**2
Suppose -3*w**2 - 75*w = 0. What is w?
-25, 0
Factor k**4/4 + 4*k**3 - 35*k**2/4 + 9*k/2.
k*(k - 1)**2*(k + 18)/4
Factor -s**5/2 + 5*s**4/2 - 7*s**3/2 + 3*s**2/2.
-s**2*(s - 3)*(s - 1)**2/2
Suppose -676*z**2 - 15288*z - 86436 = 0. Calculate z.
-147/13
Factor -20*i**3 - 2760*i**2 - 2745*i - 685.
-5*(i + 137)*(2*i + 1)**2
Let g**5/2 - 2*g**4 - g**3/2 + 2*g**2 = 0. Calculate g.
-1, 0, 1, 4
Factor 5*j**3 + 7280*j**2 + 2642625*j - 5314410.
5*(j - 2)*(j + 729)**2
Factor -2*w**4/3 + 7048*w**3/3 - 3104644*w**2 + 5470382728*w/3 - 1204851795842/3.
-2*(w - 881)**4/3
Factor 3*h**2/7 - 408*h + 97104.
3*(h - 476)**2/7
Solve -2*f**3 + 144*f**2 - 930*f + 1300 = 0.
2, 5, 65
Determine w, given that -3*w**4 - 330*w**3 - 969*w**2 - 642*w = 0.
-107, -2, -1, 0
Factor -98*s**3 + 518*s**2/3 - 800*s/9 + 128/9.
-2*(s - 1)*(21*s - 8)**2/9
Factor 5*q**5 - 55*q**4 + 90*q**3.
5*q**3*(q - 9)*(q - 2)
Factor 2*d**2/9 + 238*d/3 - 1436/9.
2*(d - 2)*(d + 359)/9
Factor -3*h**4 - 72*h**3 - 198*h**2 - 192*h - 63.
-3*(h + 1)**3*(h + 21)
Factor 2*j**4/3 - 6*j**3 + 20*j**2/3 + 24*j - 112/3.
2*(j - 7)*(j - 2)**2*(j + 2)/3
What is h in -3*h**2/7 + 39*h/7 - 18 = 0?
6, 7
Solve j**2 - 5*j + 6 = 0 for j.
2, 3
Let 3*g**4 - 21*g**2 - 18*g = 0. What is g?
-2, -1, 0, 3
What is v in -3*v**5 + 114*v**4 - 1584*v**3 + 9438*v**2 - 19965*v = 0?
0, 5, 11
Factor 596*v**2 + 5964*v + 40.
4*(v + 10)*(149*v + 1)
Find y, given that -y**2/5 - 194*y/5 - 9409/5 = 0.
-97
Suppose -5*h**3/2 - 40*h**2 + 90*h = 0. Calculate h.
-18, 0, 2
Factor -j**3/3 - 4*j**2 + 3*j + 36.
-(j - 3)*(j + 3)*(j + 12)/3
Solve 