Factor -5*c**2 + 1845*c + 3710.
-5*(c - 371)*(c + 2)
Find y such that 324*y**4 + 980*y**3/3 + 8*y**2/3 = 0.
-1, -2/243, 0
Determine x so that -4*x**3 + 20*x**2 - 16*x = 0.
0, 1, 4
Determine t, given that 12*t**4 - 201*t**3 + 141*t**2 + 48*t = 0.
-1/4, 0, 1, 16
Factor 2*j**3/11 - 8174*j**2/11.
2*j**2*(j - 4087)/11
Determine p so that -2*p**3 - 6*p**2 + 36*p + 80 = 0.
-5, -2, 4
Factor 4*m**4 + 1888*m**3 + 5640*m**2 + 5632*m + 1876.
4*(m + 1)**3*(m + 469)
Factor -4*s**3 - 88*s**2 - 304*s - 288.
-4*(s + 2)**2*(s + 18)
Determine c so that -c**3/2 + 9*c**2/2 - 27*c/2 + 27/2 = 0.
3
Factor -2*s**2 + 6584*s - 5418632.
-2*(s - 1646)**2
Suppose 98*s**5/25 + 28*s**4/5 - 1378*s**3/25 + 1724*s**2/25 - 664*s/25 + 16/5 = 0. What is s?
-5, 2/7, 1, 2
Factor 2*g**3/11 - 2*g**2/11 - 4*g/11.
2*g*(g - 2)*(g + 1)/11
Suppose 4*g**5/13 + 2*g**4/13 - 34*g**3/13 + 28*g**2/13 = 0. Calculate g.
-7/2, 0, 1, 2
Solve -a**4/4 + 2*a**3 - 15*a**2/4 - 2*a + 4 = 0 for a.
-1, 1, 4
Factor 21*p**3 - 503*p**2/6 + 250*p/3 + 2/3.
(p - 2)**2*(126*p + 1)/6
Find o, given that 4*o**3/7 - 24*o**2 - 348*o/7 - 176/7 = 0.
-1, 44
Factor 5*k**3 + 2145*k**2 + 228975*k - 231125.
5*(k - 1)*(k + 215)**2
Suppose -2*x**5 - 8*x**4 + 54*x**3 - 76*x**2 + 32*x = 0. What is x?
-8, 0, 1, 2
Solve 28*n**4 + 1168*n**3 + 16128*n**2 + 72128*n - 21952 = 0 for n.
-14, 2/7
Solve 10*k**5/3 + 725*k**4/3 - 1105*k**3/3 + 370*k**2/3 = 0 for k.
-74, 0, 1/2, 1
Find d such that -2*d**5/9 - 4*d**4/3 - 22*d**3/9 - 4*d**2/3 = 0.
-3, -2, -1, 0
Suppose -2*u**5 + 122*u**4 + 274*u**3 - 1362*u**2 - 1584*u + 4536 = 0. Calculate u.
-3, 2, 63
Factor -2*j**3/15 + 4*j**2 - 128*j/5 - 1024/15.
-2*(j - 16)**2*(j + 2)/15
Factor 5*y**3 - 45*y**2 + 40*y.
5*y*(y - 8)*(y - 1)
Let -5*h**2 - 25*h = 0. Calculate h.
-5, 0
Factor b**3/4 - 19*b**2/4 + 63*b/4 - 45/4.
(b - 15)*(b - 3)*(b - 1)/4
Determine f, given that -2*f**3/11 - 8*f**2/11 + 102*f/11 - 180/11 = 0.
-10, 3
Factor -5*w**4 - 15*w**3 - 5*w**2 + 15*w + 10.
-5*(w - 1)*(w + 1)**2*(w + 2)
Determine t so that t**5/2 - 31*t**4/6 + 33*t**3/2 - 47*t**2/2 + 47*t/3 - 4 = 0.
1, 4/3, 6
Determine d, given that -d**3 + 9*d**2 + 70*d = 0.
-5, 0, 14
Factor l**2 - 28*l + 96.
(l - 24)*(l - 4)
Find g, given that g**2/2 - 73*g/2 + 105 = 0.
3, 70
Find b such that -2*b**2/3 - 1568*b/3 - 307328/3 = 0.
-392
Find p, given that -2*p**4 + 28*p**3 + 654*p**2 - 728*p - 1352 = 0.
-13, -1, 2, 26
Suppose f**5/2 + 7*f**4/2 + 5*f**3 - 10*f**2 - 28*f - 16 = 0. What is f?
-4, -2, -1, 2
Suppose -3*k**5 - 6*k**4 + 189*k**3 + 324*k**2 - 2268*k = 0. What is k?
-6, 0, 3, 7
Determine s, given that 2*s**2/21 - 26*s/3 - 184/21 = 0.
-1, 92
Factor 32*l**5/7 - 272*l**4/7 - 142*l**3/7 - 18*l**2/7.
2*l**2*(l - 9)*(4*l + 1)**2/7
Factor -2*t**2/3 - 34*t/3 - 104/3.
-2*(t + 4)*(t + 13)/3
What is b in b**4/9 - b**3 + 26*b**2/9 - 8*b/3 = 0?
0, 2, 3, 4
Solve m**5/4 - 15*m**4/4 + 45*m**3/2 - 135*m**2/2 + 405*m/4 - 243/4 = 0.
3
Factor 14224896*j**4 + 677376*j**3 + 12096*j**2 + 96*j + 2/7.
2*(84*j + 1)**4/7
Factor -2*o**2/5 - 68*o/5 + 14.
-2*(o - 1)*(o + 35)/5
Determine x, given that 4*x**4 - 56*x**3 + 260*x**2 - 400*x = 0.
0, 4, 5
Find w, given that -16*w**4/3 - 16*w**3/3 + w**2/3 + w/3 = 0.
-1, -1/4, 0, 1/4
Find f, given that 7*f**5/4 + 11*f**4 + 47*f**3/4 + 5*f**2/2 = 0.
-5, -1, -2/7, 0
Suppose 4*b**2 + 8008*b + 4008004 = 0. Calculate b.
-1001
Suppose 8*o**3 + 42*o**2 - 102*o - 28 = 0. What is o?
-7, -1/4, 2
Determine h, given that -h**2 - 16*h - 15 = 0.
-15, -1
Factor -4*c**2 - 24*c + 1120.
-4*(c - 14)*(c + 20)
Find v such that -2*v**3/15 - 2*v**2 + 200/3 = 0.
-10, 5
Determine o so that 4*o**5 - 1400*o**4 + 123892*o**3 - 243600*o**2 + 121104*o = 0.
0, 1, 174
Find j, given that -15*j**3 + 10*j**2 + 135*j - 90 = 0.
-3, 2/3, 3
Factor k**2/4 + 104*k + 412.
(k + 4)*(k + 412)/4
Factor 864*o**2 + 1729*o/2 + 1/2.
(o + 1)*(1728*o + 1)/2
Determine n so that 35*n**3 + 1790*n**2 + 2005*n + 250 = 0.
-50, -1, -1/7
Factor 15*s**2/2 - 27*s/4 + 3/2.
3*(2*s - 1)*(5*s - 2)/4
Suppose -2*k**5/17 + 12*k**4/17 + 16*k**3/17 - 12*k**2/17 - 14*k/17 = 0. Calculate k.
-1, 0, 1, 7
Let 2*l**3/9 - 62*l**2/9 + 100*l/3 = 0. What is l?
0, 6, 25
Determine q so that -5*q**3 + 240*q**2 + 255*q - 490 = 0.
-2, 1, 49
What is s in 2*s**4 + 544*s**3 + 32988*s**2 - 544544*s + 2004002 = 0?
-143, 7
Suppose -10*l**4 + 75*l**3 - 95*l**2 + 30*l = 0. What is l?
0, 1/2, 1, 6
Solve -5*g**5 - 25*g**4 - 20*g**3 = 0.
-4, -1, 0
Let 2*s**3 + 112*s**2 + 1320*s - 7200 = 0. Calculate s.
-30, 4
Factor -15*r**2 + 15275*r + 10190.
-5*(r - 1019)*(3*r + 2)
Factor 4*n**4 + 92*n**3 + 620*n**2 + 1300*n.
4*n*(n + 5)**2*(n + 13)
Factor -w**3/8 + 25*w**2/8 + 14*w + 29/2.
-(w - 29)*(w + 2)**2/8
Factor 3*l**5 + 84*l**4 + 372*l**3 + 642*l**2 + 489*l + 138.
3*(l + 1)**3*(l + 2)*(l + 23)
Factor -2*c**2/9 - 1390*c/9 - 308.
-2*(c + 2)*(c + 693)/9
Factor i**5/3 + 2*i**4/3 - 2*i**3 - 20*i**2/3 - 19*i/3 - 2.
(i - 3)*(i + 1)**3*(i + 2)/3
What is c in -25*c**4/8 + 5*c**3/2 - c**2/2 = 0?
0, 2/5
Suppose -2*b**5 + 8*b**4 - 6*b**3 - 8*b**2 + 8*b = 0. What is b?
-1, 0, 1, 2
Factor -3*h**3 - 9*h**2 + 3*h + 9.
-3*(h - 1)*(h + 1)*(h + 3)
What is k in 18*k**4/5 - 1766*k**3/25 + 4132*k**2/25 - 2056*k/25 + 272/25 = 0?
2/9, 2/5, 2, 17
Factor -2*u**3/15 - 38*u**2/15 - 66*u/5 - 54/5.
-2*(u + 1)*(u + 9)**2/15
Suppose -k**4 + 21*k**3 - 56*k**2 + 36*k = 0. Calculate k.
0, 1, 2, 18
Factor 2*k**4 - 32*k**3 + 186*k**2 - 460*k + 400.
2*(k - 5)**2*(k - 4)*(k - 2)
Factor w**3 - 12*w**2 - 99*w + 1210.
(w - 11)**2*(w + 10)
Factor -2*h**3 - 2*h**2/5 + 28*h/5 - 16/5.
-2*(h - 1)*(h + 2)*(5*h - 4)/5
Factor -21*j**3/5 - 582*j**2/5 - 3948*j/5 + 1176/5.
-3*(j + 14)**2*(7*j - 2)/5
Solve -2*g**4/9 - 28*g**3/3 + 88*g**2/3 - 268*g/9 + 10 = 0.
-45, 1
Suppose 2*u**3/5 - 158*u**2/5 + 156*u/5 = 0. What is u?
0, 1, 78
Suppose 4*j**3 - 92*j**2 - 36*j + 828 = 0. Calculate j.
-3, 3, 23
Determine o, given that 11*o**4/8 - 21*o**3/4 + 27*o**2/8 + 11*o/2 - 9/2 = 0.
-1, 9/11, 2
Factor -5*v**3/6 + 5*v**2/6 + 50*v + 90.
-5*(v - 9)*(v + 2)*(v + 6)/6
Solve -5*k**2 + 155*k - 290 = 0.
2, 29
Let 15*l**5/2 + 192*l**4 + 2379*l**3/2 - 507*l**2 = 0. Calculate l.
-13, 0, 2/5
Factor -4*k**5 - 68*k**4 - 320*k**3 - 256*k**2.
-4*k**2*(k + 1)*(k + 8)**2
Solve q**4/4 + 11*q**3/4 - 57*q**2/4 + 45*q/4 = 0 for q.
-15, 0, 1, 3
Determine v so that -8*v**4/7 - 1574*v**3/7 - 1158*v**2/7 + 3524*v/7 - 112 = 0.
-196, -2, 1/4, 1
Factor 3*n**4/5 + 9*n**3 + 204*n**2/5 + 252*n/5.
3*n*(n + 2)*(n + 6)*(n + 7)/5
Let 6*l**4/5 + 14*l**3/5 - 8*l/5 = 0. What is l?
-2, -1, 0, 2/3
Find c such that -20*c**5 + 100*c**4 + 35*c**3 - 490*c**2 = 0.
-2, 0, 7/2
Determine b so that -3*b**2 - 24*b = 0.
-8, 0
Suppose -d**5/4 - 3*d**4/2 + 123*d**3/4 - 133*d**2 + 231*d - 144 = 0. Calculate d.
-16, 2, 3
Factor 5*t**2 + 220*t + 1295.
5*(t + 7)*(t + 37)
Find t such that -t**2/5 + 372*t/5 - 148 = 0.
2, 370
Let 1388*l**2 + 1404*l + 16 = 0. What is l?
-1, -4/347
Factor 20*r**3 - 1495*r**2 + 21625*r + 5500.
5*(r - 55)*(r - 20)*(4*r + 1)
Solve 7*p**4/3 - 1972*p**3/3 + 46201*p**2 + 13254*p = 0.
-2/7, 0, 141
Factor r**4/5 - 458*r**3/5 + 913*r**2/5 - 456*r/5.
r*(r - 456)*(r - 1)**2/5
Solve -3*n**3 - 61*n**2 + 268*n + 96 = 0 for n.
-24, -1/3, 4
Factor -5*g**2 + 105*g - 100.
-5*(g - 20)*(g - 1)
Find k such that -10*k**4/3 + 23*k**3/3 - 16*k**2/3 + k = 0.
0, 3/10, 1
Solve 4*h**4 + 156*h**3 + 680*h**2 = 0 for h.
-34, -5, 0
Solve -5*b**2 + 910*b - 905 = 0 for b.
1, 181
Determine g, given that g**3 + 30*g**2 - 567*g + 2156 = 0.
-44, 7
Let x**3/8 - 21*x**2/8 + 9*x/4 + 5 = 0. What is x?
-1, 2, 20
Determine a, given that -a**2/8 + 203*a/8 - 101/4 = 0.
1, 202
Factor -3*w**5 - 108*w**4 - 1164*w**3 - 3456*w**2 - 3072*w.
-3*w*(w + 2)**2*(w + 16)**2
Find m, given that -3*m**5/2 - 13*m**4/4 + m**3 + 13*m**2/4 + m/2 = 0.
-2, -1, -1/6, 0, 1
Determine m so that 2*m**2 - 204*m + 5202 = 0.
51
Factor 4*z**2 + 40*z - 156.
4*(z - 3)*(z + 13)
Find t, given that -465*t**3 - 2334*t**2 + 2745*t + 54 = 0.
-6, -3/155, 1
Factor 12*l**2/13 - 274*l/13 - 46/13.
2*(l - 23)*(6*l + 1)/13
Let -2*k**5 - 2*k**4 + 24*k**3 + 56*k**2 + 32*k = 0. What is k?
-2, -1, 0, 4
Determine g so that -4*g**3 + 36*g**2 + 660*g + 1900 = 0.
-5, 19
Factor -k**4/2 - 349*k**3/2 - 20358*k**2 - 800632*k - 780448.
-(k + 1)*(k + 116)**3/2
Solve 2*s**4/3 - 164*s**3/3 + 3194*s**2/3 + 2296*s + 