t so that 2*t**5/11 - 14*t**4/11 + 32*t**3/11 - 24*t**2/11 = 0.
0, 2, 3
Factor 5*s**3 - 75*s**2 + 240*s + 320.
5*(s - 8)**2*(s + 1)
Factor 4*q**4 + 56*q**3 + 228*q**2 + 304*q + 128.
4*(q + 1)**2*(q + 4)*(q + 8)
Factor -4*c**3 + 100*c**2 - 544*c + 720.
-4*(c - 18)*(c - 5)*(c - 2)
Let -4*j**2 - 1624*j + 1628 = 0. What is j?
-407, 1
Factor -2*b**3/5 - 216*b**2/5 - 5832*b/5.
-2*b*(b + 54)**2/5
Factor -4*t**3 - 220*t**2 - 208*t + 432.
-4*(t - 1)*(t + 2)*(t + 54)
Determine a so that -4*a**2 + 92*a + 96 = 0.
-1, 24
Find m, given that 2*m**4 + 386*m**3 = 0.
-193, 0
Factor -s**2 - 154*s - 5929.
-(s + 77)**2
Factor 5*x**4 - 150*x**3 - 1735*x**2 + 42900*x + 408980.
5*(x - 26)**2*(x + 11)**2
Find y, given that -4*y**5 + 116*y**4 - 872*y**3 + 112*y**2 + 4704*y = 0.
-2, 0, 3, 14
Factor 3*u**4/4 - 1329*u**3/2 + 575307*u**2/4 + 1488480*u + 3763200.
3*(u - 448)**2*(u + 5)**2/4
Factor -2*r**5 + 12*r**4 + 20*r**3 - 32*r**2 - 66*r - 28.
-2*(r - 7)*(r - 2)*(r + 1)**3
Suppose 3*c**4 - 18*c**3 - 12*c**2 + 72*c = 0. What is c?
-2, 0, 2, 6
Factor -4*o**4 - 88*o**3 - 388*o**2 + 1056*o - 576.
-4*(o - 1)**2*(o + 12)**2
Determine m, given that 2*m**4/19 - 632*m**3/19 + 50556*m**2/19 - 99224*m/19 + 49298/19 = 0.
1, 157
Solve -f**3/2 + 13*f**2 - 71*f/2 + 23 = 0.
1, 2, 23
Let 3*f**3/5 + 63*f**2/5 + 12*f = 0. What is f?
-20, -1, 0
Let -18*q**5/13 + 7692*q**4/13 - 25514*q**3/13 + 31416*q**2/13 - 16968*q/13 + 3392/13 = 0. What is q?
2/3, 1, 424
Factor -d**4/8 - 13*d**3/8 - 3*d**2/2.
-d**2*(d + 1)*(d + 12)/8
Suppose -2*w**2/11 - 16*w/11 + 96/11 = 0. Calculate w.
-12, 4
Suppose -3*w**4 + 9*w**2 - 6*w = 0. Calculate w.
-2, 0, 1
Suppose 5*g**3 + 30*g**2 - 180*g - 1080 = 0. Calculate g.
-6, 6
Solve 4*i**3 + 44*i**2 + 140*i + 100 = 0.
-5, -1
Factor b**4/9 + 23*b**3/9 + 38*b**2/3 - 32*b - 96.
(b - 3)*(b + 2)*(b + 12)**2/9
Let -j**2 - 10*j = 0. Calculate j.
-10, 0
Solve 12*u**4 + 2642*u**3 + 145630*u**2 + 22000*u - 121000 = 0.
-110, -1, 5/6
Factor -5*y**2 - 33000*y - 54450000.
-5*(y + 3300)**2
Find g such that 2*g**5 - 4*g**4 - 6*g**3 + 8*g**2 + 8*g = 0.
-1, 0, 2
Let 35*i**5 - 200*i**4 + 255*i**3 - 50*i**2 - 40*i = 0. Calculate i.
-2/7, 0, 1, 4
Find a such that 3*a**2/5 + 44*a/5 - 3 = 0.
-15, 1/3
Factor 3*m**2 + 36*m + 108.
3*(m + 6)**2
Determine u so that 4*u**5/7 - 24*u**4/7 - 304*u**3/7 - 104*u**2 - 660*u/7 - 208/7 = 0.
-4, -1, 13
Factor l**2/5 + 11*l/5.
l*(l + 11)/5
Solve -5*j**2 - 985*j - 980 = 0 for j.
-196, -1
Determine o so that 10*o**4 - 15*o**3 - 220*o**2 - 285*o - 90 = 0.
-3, -1, -1/2, 6
Find q such that -q**4/3 - 5*q**3/3 - q**2 + 5*q/3 + 4/3 = 0.
-4, -1, 1
Suppose -t**2 + 53*t + 354 = 0. Calculate t.
-6, 59
What is v in -5*v**5 - 17*v**4 + 29*v**3 + 89*v**2 - 60*v - 36 = 0?
-3, -2/5, 1, 2
Factor 2*r**3/7 - 10*r**2/7 - 12*r/7.
2*r*(r - 6)*(r + 1)/7
Suppose -845*c**5 - 7345*c**4 + 20065*c**3 - 14935*c**2 + 3280*c - 220 = 0. What is c?
-11, 2/13, 1
Determine j so that 45*j**3 - 455*j**2 + 980*j = 0.
0, 28/9, 7
Factor 2*y**3 + 276*y**2.
2*y**2*(y + 138)
Let 4*p**4 - 52*p**3 + 96*p**2 + 432*p = 0. What is p?
-2, 0, 6, 9
Solve j**5 + 4*j**4 + 5*j**3 + 2*j**2 = 0 for j.
-2, -1, 0
Determine b so that 5*b**3 + 78*b**2 + 288*b - 128 = 0.
-8, 2/5
Determine m so that 5*m**5 + 25*m**4 - 35*m**3 - 25*m**2 + 30*m = 0.
-6, -1, 0, 1
Factor 2*i**2 - 84*i - 368.
2*(i - 46)*(i + 4)
Factor 5*b**5 + 95*b**4 + 690*b**3 + 2350*b**2 + 3625*b + 1875.
5*(b + 1)*(b + 3)*(b + 5)**3
What is z in 4*z**3 - 868*z - 2496 = 0?
-13, -3, 16
Solve -3*k**5 - 39*k**4 - 174*k**3 - 318*k**2 - 255*k - 75 = 0.
-5, -1
Factor n**2/4 + 5*n/2 - 36.
(n - 8)*(n + 18)/4
Solve -s**5/4 - 23*s**4/4 + s**3/4 + 23*s**2/4 = 0 for s.
-23, -1, 0, 1
Factor -2*i**4/11 - 16*i**3/11 + 52*i**2/11 + 336*i/11 - 882/11.
-2*(i - 3)**2*(i + 7)**2/11
Factor -j**3/5 - 9*j**2/5 + 8*j + 48/5.
-(j - 4)*(j + 1)*(j + 12)/5
Factor -6*z**2 + 8*z + 8.
-2*(z - 2)*(3*z + 2)
What is u in -2*u**2/5 + 48*u/5 - 46/5 = 0?
1, 23
Factor -2*v**4 - 2*v**3 + 12*v**2.
-2*v**2*(v - 2)*(v + 3)
What is p in -p**5 - 2*p**4 + 27*p**3 + 4*p**2 - 76*p + 48 = 0?
-6, -2, 1, 4
Factor -14*f**3/11 + 276*f**2/11 + 80*f/11.
-2*f*(f - 20)*(7*f + 2)/11
Determine o so that -o**5/2 + 4*o**4 - 25*o**3/2 + 19*o**2 - 14*o + 4 = 0.
1, 2
Factor -190*k**3/7 - 8*k**2 + 8*k/7.
-2*k*(5*k + 2)*(19*k - 2)/7
Find b, given that b**2/3 - 19*b/3 - 20/3 = 0.
-1, 20
Solve -2*k**3/7 + 8*k**2/7 - 2*k/7 - 12/7 = 0 for k.
-1, 2, 3
Determine a, given that 2*a**4 + 456*a**3 - 8640*a**2 + 52704*a - 106272 = 0.
-246, 6
Factor 3*c**3/7 - 66*c**2/7 - 69*c/7.
3*c*(c - 23)*(c + 1)/7
Suppose l**2/5 - 3053*l/5 - 3054/5 = 0. Calculate l.
-1, 3054
Solve 4*a**2/7 - 4244*a/7 + 4240/7 = 0 for a.
1, 1060
Determine n so that 21*n**3 - 111*n**2 + 30*n = 0.
0, 2/7, 5
Determine a so that 2*a**3/7 - 2614*a**2/7 - 2620*a/7 + 5232/7 = 0.
-2, 1, 1308
Solve 15*j**5 + 200*j**4 - 370*j**3 + 80*j**2 + 75*j = 0.
-15, -1/3, 0, 1
Factor -m**2/5 + 222*m/5 - 88.
-(m - 220)*(m - 2)/5
Suppose 5*g**2/3 - 1370*g/3 - 1375/3 = 0. Calculate g.
-1, 275
Factor -l**5/8 + 11*l**4/8 - 23*l**3/4 + 45*l**2/4 - 81*l/8 + 27/8.
-(l - 3)**3*(l - 1)**2/8
Suppose -4*q**3 + 135*q**2 - 446*q - 120 = 0. Calculate q.
-1/4, 4, 30
Suppose p**5/5 + 14*p**4/5 + 41*p**3/5 - 56*p**2/5 = 0. What is p?
-8, -7, 0, 1
Determine u so that 4*u**5/7 - 4*u**4/7 - 12*u**3/7 + 4*u**2/7 + 8*u/7 = 0.
-1, 0, 1, 2
Solve 3*m**5 - 165*m**4 + 903*m**3 - 1011*m**2 - 906*m + 1176 = 0 for m.
-1, 1, 2, 4, 49
Factor -2*a**3/5 + 6*a**2/5 + 12*a/5 - 16/5.
-2*(a - 4)*(a - 1)*(a + 2)/5
Factor -294*o**2 + 126*o - 27/2.
-3*(14*o - 3)**2/2
Let 3*y**5/7 + 11*y**4/7 + y**3 - 11*y**2/7 - 10*y/7 = 0. What is y?
-2, -5/3, -1, 0, 1
Factor o**4/3 + o**3/3 - 44*o**2.
o**2*(o - 11)*(o + 12)/3
Factor -3*p**5 - 45*p**4 + 75*p**3 + 465*p**2 + 540*p + 192.
-3*(p - 4)*(p + 1)**3*(p + 16)
Factor -g**4/6 - 43*g**3/6 - 220*g**2/3 + 242*g/3.
-g*(g - 1)*(g + 22)**2/6
Suppose -z**2 + 116*z - 3364 = 0. Calculate z.
58
Solve -3*g**3/5 - 6*g**2 - 3*g/5 + 72 = 0 for g.
-8, -5, 3
Let r**2 - 174*r - 175 = 0. What is r?
-1, 175
What is u in -2*u**5 + 8*u**4 - 6*u**3 - 8*u**2 + 8*u = 0?
-1, 0, 1, 2
Suppose 2*d**3 + 3556*d**2 + 3554*d = 0. Calculate d.
-1777, -1, 0
What is t in t**2/5 - 149*t/5 - 456/5 = 0?
-3, 152
Factor 2*n**3/11 + 46*n**2/11 - 8*n/11 - 184/11.
2*(n - 2)*(n + 2)*(n + 23)/11
Find t such that -4*t**5 - 652*t**4 - 27532*t**3 - 78724*t**2 - 77440*t - 25600 = 0.
-80, -1
Factor -2*j**2/3 + 52*j/3.
-2*j*(j - 26)/3
What is t in 2*t**2/3 - 8*t/3 - 14 = 0?
-3, 7
Factor m**5/4 + 2*m**4 + 21*m**3/4 + 7*m**2/2 - 5*m - 6.
(m - 1)*(m + 2)**3*(m + 3)/4
Factor -s**4/2 + 33*s**2 + 80*s - 225/2.
-(s - 9)*(s - 1)*(s + 5)**2/2
Find s such that 4*s**3 - 44*s**2 + 124*s - 84 = 0.
1, 3, 7
Let 16*g**2 + 22*g/13 - 6/13 = 0. What is g?
-3/13, 1/8
Factor -5*g**4 - 105*g**3 - 415*g**2 + 525*g.
-5*g*(g - 1)*(g + 7)*(g + 15)
Factor r**5/3 + 14*r**4/3 + 8*r**3 - 2*r**2/3 - 25*r/3 - 4.
(r - 1)*(r + 1)**3*(r + 12)/3
Factor -4*j**3 + 4*j**2 + 340*j + 1100.
-4*(j - 11)*(j + 5)**2
Suppose -2*j**3/7 + 36*j**2/7 - 64*j/7 = 0. Calculate j.
0, 2, 16
Factor 2*c**2/5 + 284*c/5 + 10082/5.
2*(c + 71)**2/5
Solve 3*h**5 + 318*h**4 - 645*h**3 + 324*h**2 = 0 for h.
-108, 0, 1
Determine f so that -9*f**4/5 - 7536*f**3/5 - 1575018*f**2/5 + 211176*f + 526683/5 = 0.
-419, -1/3, 1
Factor p**4 + 5*p**3.
p**3*(p + 5)
Solve 2*f**4/9 - 106*f**3/9 + 304*f**2/9 - 200*f/9 = 0 for f.
0, 1, 2, 50
Determine q so that -4*q**4/3 - 24*q**3 - 124*q**2 - 112*q/3 + 784 = 0.
-7, -6, 2
Find v such that 2*v**2/7 + 3268*v/7 + 1334978/7 = 0.
-817
Factor -y**4 - 2*y**3 + 4*y**2 + 8*y.
-y*(y - 2)*(y + 2)**2
Determine m, given that 2*m**3/3 - 1760*m**2/9 + 194*m/3 + 1172/9 = 0.
-2/3, 1, 293
Factor -4*u**2/7 - 20*u/7 + 96/7.
-4*(u - 3)*(u + 8)/7
Factor 4*r**5/7 - 9*r**4/7 + 2*r**3/7.
r**3*(r - 2)*(4*r - 1)/7
Factor -11*q**3 - 90*q**2 + 512*q + 96.
-(q - 4)*(q + 12)*(11*q + 2)
What is t in 9*t**2 + 15936*t/5 + 2124/5 = 0?
-354, -2/15
Determine d, given that -5*d**2 + 188*d - 1652 = 0.
14, 118/5
What is j in j**3/2 - 35*j**2 + 203*j/2 - 67 = 0?
1, 2, 67
Determine r so that -r**4/3 + 5*r**3/3 + 7*r**2 + 23*r/3 + 8/3 = 0.
-1, 8
Factor 2*q**2/3 + 4*q/3 - 2.
2*(q - 1)*(q + 3)/3
Let 3*u**2 - 60*u + 57 = 0. Calculate u.
1, 19
Solve -128*h**4/9 + 160*h**3/9 + 74*h**2/3 - 62*h/9 + 4/9