c = 0.
-5, 0
Suppose -28*i**5 + 132*i**4 - 23*i**3 - 200*i**2 - 108*i - 16 = 0. Calculate i.
-1/2, -2/7, 2, 4
Let 4*b**4 + 216*b**3 + 2448*b**2 - 12760*b + 10092 = 0. What is b?
-29, 1, 3
Solve 4*r**3 + 524*r**2 + 16896*r - 17424 = 0 for r.
-66, 1
Factor -5*m**4 + 5*m**3 + 30*m**2.
-5*m**2*(m - 3)*(m + 2)
Factor -w**4/8 + 13*w**3/8 - 25*w**2/4 + 4*w + 12.
-(w - 6)*(w - 4)**2*(w + 1)/8
Suppose 2*k**2 - 74*k - 1176 = 0. Calculate k.
-12, 49
What is o in 2*o**2/9 + 56*o/9 + 374/9 = 0?
-17, -11
Factor -2*w**5/7 + 207*w**4/7 - 505*w**3/7.
-w**3*(w - 101)*(2*w - 5)/7
Determine m so that -5*m**3 + 85*m**2 + 1800*m - 30780 = 0.
-19, 18
Factor -10*o**3/7 - 8*o**2 + 24*o/7.
-2*o*(o + 6)*(5*o - 2)/7
What is s in -115*s**3/3 - 12*s**2 + 4*s/3 = 0?
-2/5, 0, 2/23
Solve -26*o**2/3 - 12*o - 10/3 = 0 for o.
-1, -5/13
Let g**4/2 + 51*g**3/2 + 207*g**2 - 520*g = 0. What is g?
-40, -13, 0, 2
Let 4*o**2/5 + 624*o/5 = 0. Calculate o.
-156, 0
Factor -w**5/5 + 9*w**4 - 528*w**3/5 + 484*w**2/5.
-w**2*(w - 22)**2*(w - 1)/5
Determine a so that 2*a**3/5 + 18*a**2/5 + 16*a/5 = 0.
-8, -1, 0
Let -223729*j**2 + 946*j - 1 = 0. What is j?
1/473
Factor l**2 - 1448*l - 1449.
(l - 1449)*(l + 1)
Find n, given that -4*n**4 + 65*n**3 - 12*n**2 - 65*n + 16 = 0.
-1, 1/4, 1, 16
Determine g so that 2*g**2 + 86*g + 560 = 0.
-35, -8
Factor 2*q**2 - 20*q + 48.
2*(q - 6)*(q - 4)
Factor -2*l**3 - 2*l**2 + 16*l + 24.
-2*(l - 3)*(l + 2)**2
Factor -2*i**5/11 - 2*i**4/11 + 40*i**3/11.
-2*i**3*(i - 4)*(i + 5)/11
Factor -3*s**2 + 45906*s - 175613403.
-3*(s - 7651)**2
Factor -36*t**2/5 - 52*t/5 - 16/5.
-4*(t + 1)*(9*t + 4)/5
Factor -p**5 + 15*p**4 - 83*p**3 + 209*p**2 - 240*p + 100.
-(p - 5)**2*(p - 2)**2*(p - 1)
Solve 2*m**2 + 22*m + 20 = 0 for m.
-10, -1
Find s, given that -27*s**3/2 + 63*s**2/2 + 12*s = 0.
-1/3, 0, 8/3
Find h such that -117*h**5 - 1137*h**4/4 + 2721*h**3/4 - 234*h**2 - 57*h + 12 = 0.
-4, -1/4, 2/13, 2/3, 1
Let 2*v**3 + 170*v**2 + 4000*v + 16000 = 0. Calculate v.
-40, -5
Factor -5*y**5 + 225*y**4 - 2640*y**3 + 2420*y**2.
-5*y**2*(y - 22)**2*(y - 1)
Factor -3*c**3/5 - 3*c**2/5 + 60*c + 60.
-3*(c - 10)*(c + 1)*(c + 10)/5
Factor -m**2/6 - 865*m/3.
-m*(m + 1730)/6
Factor -v**2 + 112*v - 3136.
-(v - 56)**2
What is c in 2*c**5/3 + 2*c**4/3 - 76*c**3/3 - 24*c**2 + 48*c = 0?
-6, -2, 0, 1, 6
Let a**4/5 - 46*a**3 - 1413*a**2/5 - 718*a/5 + 472 = 0. What is a?
-5, -2, 1, 236
Solve -3*i**3/4 + 33*i**2/2 - 63*i/4 = 0.
0, 1, 21
Determine q, given that 5*q**2 + 5*q - 100 = 0.
-5, 4
Factor 2*g**2/3 + 116*g/3 + 224/3.
2*(g + 2)*(g + 56)/3
Factor 3*u**2 + 2052*u + 350892.
3*(u + 342)**2
Factor -5*h**3 + 40*h**2 - 60*h.
-5*h*(h - 6)*(h - 2)
Determine w, given that -w**5 + 15*w**4 - 36*w**3 - 4*w**2 + 48*w = 0.
-1, 0, 2, 12
Factor -2*b**2/5 - 4*b + 48/5.
-2*(b - 2)*(b + 12)/5
Suppose -g**3/2 + 141*g**2 = 0. Calculate g.
0, 282
Factor 3*d**2 - 420*d + 14700.
3*(d - 70)**2
Find w such that 5*w**3 - 260*w**2 + 3625*w - 6250 = 0.
2, 25
Determine w, given that -w**3/2 + 57*w**2 - 222*w + 220 = 0.
2, 110
Factor -2*c**2/7 - 50*c + 352/7.
-2*(c - 1)*(c + 176)/7
Solve 16*u**2 + 12*u - 4 = 0.
-1, 1/4
Find u, given that 2*u**3/3 - 64*u**2 + 376*u/3 = 0.
0, 2, 94
Factor 4*q**2/7 + 5664*q/7 + 2005056/7.
4*(q + 708)**2/7
Factor -12*k**3/5 - 1154*k**2/5 - 5568*k - 4608/5.
-2*(k + 48)**2*(6*k + 1)/5
Suppose -14*j**5/3 - 17*j**4/3 + 34*j**3/3 + 13*j**2/3 - 20*j/3 + 4/3 = 0. Calculate j.
-2, -1, 2/7, 1/2, 1
Suppose -5*c**2 + 5650*c - 5645 = 0. Calculate c.
1, 1129
Suppose 2*v**2/13 + 3180*v/13 + 1264050/13 = 0. What is v?
-795
Determine f, given that 4*f**3/5 - 396*f**2/5 - 852*f - 2180 = 0.
-5, 109
What is i in i**2 + 62*i + 961 = 0?
-31
Factor -l**5/5 + 19*l**4 - 722*l**3 + 13718*l**2 - 130321*l + 2476099/5.
-(l - 19)**5/5
Determine k so that -5*k**5 + 5*k**4 + 20*k**3 - 20*k**2 = 0.
-2, 0, 1, 2
Let g**2/6 - g + 3/2 = 0. Calculate g.
3
Solve -4*i**2 + 1172*i - 1168 = 0.
1, 292
Solve -2*i**3/3 - 4*i**2 - 22*i/3 - 4 = 0 for i.
-3, -2, -1
Determine h, given that 10*h**5 + 98*h**4 + 1118*h**3/5 - 578*h**2/5 - 176*h - 40 = 0.
-5, -2/5, 1
Find h, given that 2*h**5/15 + 28*h**4/15 + 14*h**3/3 - 20*h**2/3 = 0.
-10, -5, 0, 1
Determine t so that -8*t**3/5 + 54*t**2/5 + 78*t/5 + 16/5 = 0.
-1, -1/4, 8
Factor 2*i**3/7 - 4*i**2 + 10*i - 44/7.
2*(i - 11)*(i - 2)*(i - 1)/7
Solve -3*u**5/2 - 72*u**4 - 513*u**3 - 1356*u**2 - 2907*u/2 - 540 = 0.
-40, -3, -1
Determine k so that 2*k**4/5 - 2*k**2 + 8/5 = 0.
-2, -1, 1, 2
Factor -x**2 - 7*x + 8.
-(x - 1)*(x + 8)
Factor 5*g**4/2 + 880*g**3 + 116160*g**2 + 6814720*g + 149923840.
5*(g + 88)**4/2
Let 160*g**4 - 220*g**3 - 185*g**2 - 30*g = 0. Calculate g.
-3/8, -1/4, 0, 2
Factor f**4/5 + 6*f**3/5 - f**2/5 - 6*f/5.
f*(f - 1)*(f + 1)*(f + 6)/5
Find o, given that -5*o**2 + 40*o - 80 = 0.
4
Let -3*m**3 - 30*m**2 + 51*m + 198 = 0. What is m?
-11, -2, 3
Find m such that 5*m**5/7 - 34*m**4/7 + 53*m**3/7 + 32*m**2/7 - 76*m/7 - 16/7 = 0.
-1, -1/5, 2, 4
Factor -y**3/3 - 11*y**2 - 85*y + 289/3.
-(y - 1)*(y + 17)**2/3
Factor -2*v**3/17 - 28*v**2/17 - 26*v/17.
-2*v*(v + 1)*(v + 13)/17
Suppose 3*j**5 + 267*j**4 + 264*j**3 = 0. What is j?
-88, -1, 0
Factor -5*o**4 + 45*o**3 - 115*o**2 + 75*o.
-5*o*(o - 5)*(o - 3)*(o - 1)
Solve -5*y**3 + 270*y**2 - 255*y - 530 = 0.
-1, 2, 53
Factor -5*y**4 - 110*y**3 - 625*y**2 - 940*y - 420.
-5*(y + 1)**2*(y + 6)*(y + 14)
Let -x**4 - 127*x**3 - 3831*x**2 + 13195*x + 16900 = 0. What is x?
-65, -1, 4
Solve -71*q**2 + 75*q - 4 = 0.
4/71, 1
Factor n**2/2 + 87*n + 7569/2.
(n + 87)**2/2
Factor -2*v**3 - 32*v**2 - 30*v.
-2*v*(v + 1)*(v + 15)
Factor 4*z**4 - 324*z**3 - 332*z**2 + 324*z + 328.
4*(z - 82)*(z - 1)*(z + 1)**2
Factor 2*c**3 + 628*c**2 + 48664*c - 99856.
2*(c - 2)*(c + 158)**2
Solve -3*a**2 - 267*a + 828 = 0.
-92, 3
Factor 25*s**5 + 80*s**4 - s**3 - 44*s**2 + 12*s.
s*(s + 1)*(s + 3)*(5*s - 2)**2
Factor 2*c**5 - 14*c**4 + 32*c**3 - 16*c**2 - 32*c + 32.
2*(c - 2)**4*(c + 1)
What is z in 4*z**3/5 - 96*z**2/5 + 336*z/5 - 64 = 0?
2, 20
Find u such that -3*u**5/2 + 333*u**4/4 + 867*u**3/4 + 45*u**2 - 87*u = 0.
-2, -1, 0, 1/2, 58
Factor -5*l**2 - 90*l.
-5*l*(l + 18)
Suppose -3*h**2 + 135*h + 1092 = 0. What is h?
-7, 52
Factor p**4/2 + 2*p**3 - 219*p**2/2 - 473*p + 3388.
(p - 14)*(p - 4)*(p + 11)**2/2
Factor -o**3 + 5*o**2 - 7*o + 3.
-(o - 3)*(o - 1)**2
Factor z**4/3 + 1111*z**3/3 - 1113*z**2 + 3341*z/3 - 1114/3.
(z - 1)**3*(z + 1114)/3
Suppose -3*w**2 + 39*w - 120 = 0. Calculate w.
5, 8
Determine t, given that 5*t**3 - 2330*t**2 = 0.
0, 466
Let j**5/2 - 3*j**4/2 - 5*j**3/2 + 15*j**2/2 + 2*j - 6 = 0. Calculate j.
-2, -1, 1, 2, 3
Solve -t**5/2 + 55*t**4/2 - 105*t**3/2 - 55*t**2/2 + 53*t = 0.
-1, 0, 1, 2, 53
Let -q**5/6 + 4*q**4 - 82*q**3/3 + 163*q**2/3 + 55*q/2 - 175/3 = 0. What is q?
-1, 1, 5, 14
Solve -4*x**4 + 18*x**3 - 14*x**2 - 12*x = 0.
-1/2, 0, 2, 3
Find f such that 4*f**3/5 + 64*f**2/5 + 316*f/5 + 96 = 0.
-8, -5, -3
Solve -l**5 + 6*l**4 = 0.
0, 6
Factor 2*s**3/13 - 1372*s**2/13 + 5464*s/13 - 5456/13.
2*(s - 682)*(s - 2)**2/13
What is n in -2*n**2 - 210*n - 208 = 0?
-104, -1
Find i, given that 2*i**2/5 + 508*i/5 - 518 = 0.
-259, 5
Let r**3 + 48*r**2 + 768*r + 4096 = 0. Calculate r.
-16
What is z in 3*z**4/5 + 16*z**3/5 + 26*z**2/5 + 16*z/5 + 3/5 = 0?
-3, -1, -1/3
Let -2*h**4 - 27*h**3 - 4*h**2 + 657*h - 324 = 0. Calculate h.
-9, 1/2, 4
Factor 21*d**2/5 - 351*d/5 - 102/5.
3*(d - 17)*(7*d + 2)/5
Find m such that m**4 + 11*m**3/3 - m**2/3 - 19*m/3 + 2 = 0.
-3, -2, 1/3, 1
Factor -n**2 - 96*n + 612.
-(n - 6)*(n + 102)
Suppose -11*h**5 - 179*h**4/4 + 237*h**3/2 - 223*h**2/4 - 10*h + 3 = 0. Calculate h.
-6, -1/4, 2/11, 1
Factor g**4/3 + 287*g**3/3 + 7277*g**2 + 176113*g/3 + 154568/3.
(g + 1)*(g + 8)*(g + 139)**2/3
Find b, given that -75*b**3 + 3085*b**2 - 410*b = 0.
0, 2/15, 41
Factor -3*l**3 - 21*l**2 - 42*l - 24.
-3*(l + 1)*(l + 2)*(l + 4)
Solve -v**2/6 + 8*v/3 - 8 = 0.
4, 12
Factor -5*h**2 + 5900*h - 1740500.
-5*(h - 590)**2
Factor -2*u**2/7 - 544*u/7 - 36992/7.
-2*(u + 136)**2/7
Let -3*g**3 - 12*g**2 + 3*g + 12 = 0. What is g?
-4, -1, 1
Let -h**2 - 24*h = 0. What is h?
-24, 0
Solve 2*m**4 + 96*m**3 + 90*m**2 - 188*m = 0 for m.
-47, -2, 0, 1
Factor -35*k**2 - 7200*k - 5125.
-5*(k + 205)*(7*k + 5)
Let 3*g**3 + 93*g**2 + 612*g - 1620 = 0. What is g?
-18, -15, 2
Factor 4*l**