t is i in -4*i**4 - 4*i**3 + 52*i**2 + 4*i - 48 = 0?
-4, -1, 1, 3
Factor u**2/4 + 3*u/4 - 35/2.
(u - 7)*(u + 10)/4
Factor -2*l**4 - 10*l**3 - 16*l**2 - 8*l.
-2*l*(l + 1)*(l + 2)**2
Factor h**3/2 + 21*h**2 - 2*h - 84.
(h - 2)*(h + 2)*(h + 42)/2
Determine o, given that -20*o**4 - 352*o**3 - 524*o**2 - 192*o = 0.
-16, -1, -3/5, 0
Factor -3*z**4 - 30*z**3 + 3*z**2 + 30*z.
-3*z*(z - 1)*(z + 1)*(z + 10)
Let -2*j**4 + 92*j**3 + 190*j**2 + 96*j = 0. What is j?
-1, 0, 48
Factor -4*x**3 - 12*x**2 + 180*x - 324.
-4*(x - 3)**2*(x + 9)
Solve -35*l**4 - 2160*l**3 + 2895*l**2 + 3760*l - 1260 = 0.
-63, -1, 2/7, 2
Factor d**5 - 5*d**4 - 22*d**3 - 16*d**2.
d**2*(d - 8)*(d + 1)*(d + 2)
Factor -y**2/4 - 21*y/4 - 5.
-(y + 1)*(y + 20)/4
Let 2*x**2/9 - 220*x/3 + 6050 = 0. Calculate x.
165
Solve 16*r**2 - 884*r + 220 = 0.
1/4, 55
Let 75*z**4/8 + 141*z**3/8 - 9*z**2/4 = 0. What is z?
-2, 0, 3/25
Factor -3*y**3 + 6819*y**2 - 3878304*y + 3871488.
-3*(y - 1136)**2*(y - 1)
Find f, given that 5*f**5 + 70*f**4 + 340*f**3 + 650*f**2 + 375*f = 0.
-5, -3, -1, 0
Solve 2*n**3/21 + 10*n**2/21 + 4*n/21 - 16/21 = 0 for n.
-4, -2, 1
Factor 2*d**4 + 22*d**3 + 20*d**2.
2*d**2*(d + 1)*(d + 10)
Suppose 13*w**3/2 - 119*w**2/2 + 9*w = 0. What is w?
0, 2/13, 9
Factor -2*t**4/3 + 2*t**3 + 2*t**2/3 - 2*t.
-2*t*(t - 3)*(t - 1)*(t + 1)/3
Determine q so that q**4 + 22*q**3 - q**2 - 22*q = 0.
-22, -1, 0, 1
Let -2*c**2/3 + 26*c - 216 = 0. Calculate c.
12, 27
Factor 14*f**4/3 + 640*f**3/3 + 7222*f**2/3 - 2116*f/3.
2*f*(f + 23)**2*(7*f - 2)/3
Solve 2*u**2/17 + 108*u/17 - 992/17 = 0 for u.
-62, 8
Factor 6*g**2/7 + 198*g/7 + 372/7.
6*(g + 2)*(g + 31)/7
Solve -v**2/3 - 4*v/3 - 1 = 0.
-3, -1
Factor -2*w**2/3 - 76*w/3 - 434/3.
-2*(w + 7)*(w + 31)/3
Factor 52*f**2/5 - 28*f/5 - 16.
4*(f + 1)*(13*f - 20)/5
Factor 3*i**3/4 - 3963*i**2/4 + 327690*i - 326700.
3*(i - 660)**2*(i - 1)/4
Factor -3*d**2/2 - 9*d - 15/2.
-3*(d + 1)*(d + 5)/2
Factor -36*n**3 + 40*n**2 - 4*n.
-4*n*(n - 1)*(9*n - 1)
Let z**2/2 + 4*z + 7/2 = 0. What is z?
-7, -1
Factor -41*j**3/4 + 125*j**2/4 - 3*j/2.
-j*(j - 3)*(41*j - 2)/4
Solve 2*a**3/13 + 50*a**2/13 + 336*a/13 + 288/13 = 0.
-12, -1
Find k, given that -2*k**4 + 52*k**3/7 - 26*k**2/7 - 12*k/7 = 0.
-2/7, 0, 1, 3
Let f**2/5 - 38*f/5 + 361/5 = 0. What is f?
19
Solve 2*n**2/5 - 28*n/5 - 6 = 0.
-1, 15
Solve v**4 - 161*v**3 + 6063*v**2 + 33781*v + 27556 = 0.
-4, -1, 83
Let -14*k**2/3 + 7024*k/3 + 2008/3 = 0. Calculate k.
-2/7, 502
Factor 5*l**4 + 50*l**3 - 160*l**2 - 480*l.
5*l*(l - 4)*(l + 2)*(l + 12)
Solve -u**4 + 490*u**3 - 976*u**2 = 0 for u.
0, 2, 488
Find u such that -5*u**3 + 2910*u**2 - 426300*u + 841000 = 0.
2, 290
What is q in -35*q**4/4 - 20*q**3 + 85*q**2/4 + 15*q/2 = 0?
-3, -2/7, 0, 1
Factor 16*g**5 - 36*g**4 + 24*g**3 - 4*g**2.
4*g**2*(g - 1)**2*(4*g - 1)
Determine c, given that -16*c**2 - 526*c + 1116 = 0.
-279/8, 2
Factor -2*i**4/9 + 28*i**3/9 - 14*i**2/3 - 48*i.
-2*i*(i - 9)*(i - 8)*(i + 3)/9
Determine y, given that 3*y**2 - 924*y - 927 = 0.
-1, 309
Factor -n**2/4 + 13*n/4 + 7/2.
-(n - 14)*(n + 1)/4
Factor -45*r**2 + 890*r + 200.
-5*(r - 20)*(9*r + 2)
Determine v, given that 2*v**5/5 - 132*v**4/5 - 696*v**3/5 - 988*v**2/5 - 426*v/5 = 0.
-3, -1, 0, 71
Factor -y**4 + 2*y**3 + 28*y**2 + 46*y + 21.
-(y - 7)*(y + 1)**2*(y + 3)
Factor -k**2/2 - k.
-k*(k + 2)/2
Find s, given that -s**2 + 126*s + 1072 = 0.
-8, 134
Suppose -12*y**4/5 + 477*y**3/5 - 1656*y**2/5 + 1284*y/5 + 432/5 = 0. What is y?
-1/4, 2, 36
Find z such that 3*z**3/4 - 393*z**2/4 + 765*z/4 + 1161/4 = 0.
-1, 3, 129
Factor 2*g**2 - 4264*g + 2272712.
2*(g - 1066)**2
Determine s, given that s**3 - 59*s**2/4 - 63*s/4 = 0.
-1, 0, 63/4
Factor -a**2 + 63*a + 198.
-(a - 66)*(a + 3)
Factor -2*r**2/13 - 17196*r/13 - 36962802/13.
-2*(r + 4299)**2/13
Find y such that -3*y**5/4 + 9*y**4/2 - 6*y**3 - 3*y**2/2 + 27*y/4 - 3 = 0.
-1, 1, 4
Find f, given that f**5 - 40*f**4 - 135*f**3 + 250*f**2 + 344*f = 0.
-4, -1, 0, 2, 43
Factor -o**2 + 54*o - 53.
-(o - 53)*(o - 1)
What is t in 3*t**2 + 48*t - 108 = 0?
-18, 2
Let 3*n**3 + 9*n**2 - 3*n - 9 = 0. Calculate n.
-3, -1, 1
Factor -l**3 + 29*l**2 + 166*l + 136.
-(l - 34)*(l + 1)*(l + 4)
Find k such that -2*k**5/7 - 26*k**4/7 - 128*k**3/7 - 304*k**2/7 - 352*k/7 - 160/7 = 0.
-5, -2
Solve 4*v**5 - 100*v**4 + 856*v**3 - 2624*v**2 + 512*v + 4096 = 0 for v.
-1, 2, 8
Suppose 4*f**2 - 56*f + 180 = 0. What is f?
5, 9
Suppose 3*f**4 - 15*f**3 - 39*f**2 - 21*f = 0. What is f?
-1, 0, 7
Factor 2*n**4/9 - 4*n**3 + 26*n**2 - 72*n + 72.
2*(n - 6)**2*(n - 3)**2/9
Solve p**2 - 4*p = 0.
0, 4
Let 2*l**2 + 1316*l + 216482 = 0. What is l?
-329
Factor -27*s**3 + 5625*s**2 - 7464*s + 2484.
-3*(s - 207)*(3*s - 2)**2
Factor 6*a**5/11 - 4974*a**4/11 + 1008276*a**3/11 + 9344700*a**2/11 + 28305126*a/11 + 28440882/11.
6*(a - 419)**2*(a + 3)**3/11
Factor -3*t**3/4 - 307*t**2/4 + 207*t/4 + 103/4.
-(t - 1)*(t + 103)*(3*t + 1)/4
Factor -6*t**2/17 - 10*t/17 + 4/17.
-2*(t + 2)*(3*t - 1)/17
Let 2*i**3/11 - 2*i**2/11 - 12*i/11 = 0. Calculate i.
-2, 0, 3
Factor 114126489*f**2 + 42732*f + 4.
(10683*f + 2)**2
Factor -r**4/3 - 38*r**3/3 - 159*r**2 - 720*r - 900.
-(r + 2)*(r + 6)*(r + 15)**2/3
Factor t**3/4 - 77*t**2/4 + 118*t + 315.
(t - 70)*(t - 9)*(t + 2)/4
Solve 4*n**4/3 - 136*n**3/3 + 128*n**2/3 + 136*n/3 - 44 = 0 for n.
-1, 1, 33
Determine l so that -2*l**2/5 - 46*l/5 - 44/5 = 0.
-22, -1
Find s such that -14*s**5/5 + 4*s**4 + 186*s**3/5 - 88*s**2/5 - 392*s/5 + 288/5 = 0.
-18/7, -2, 1, 4
Solve 3*k**4 - 9*k**3 + 3*k**2 + 9*k - 6 = 0 for k.
-1, 1, 2
Factor -57*f**2/5 + 61*f/5 - 4/5.
-(f - 1)*(57*f - 4)/5
Factor 3*r**4 + 384*r**3 + 16389*r**2 + 238188*r + 222180.
3*(r + 1)*(r + 35)*(r + 46)**2
Factor 6*v**2/5 + 67*v/5 - 143/5.
(v + 13)*(6*v - 11)/5
Suppose -7*h**3/9 - 205*h**2/9 + 376*h/9 + 124/9 = 0. What is h?
-31, -2/7, 2
Factor -21*q**3 - 426*q**2 + 321*q + 126.
-3*(q - 1)*(q + 21)*(7*q + 2)
Find k such that 2*k**2/5 + 138*k/5 - 28 = 0.
-70, 1
Find b such that 12*b**5 + 8*b**4 - 36*b**3 + 16*b = 0.
-2, -2/3, 0, 1
Determine m so that -2*m**4/7 + 4*m**3/7 + 2*m**2 - 16*m/7 - 24/7 = 0.
-2, -1, 2, 3
Determine w so that -4*w**5/9 - 20*w**4/3 + 100*w**3/3 - 100*w**2/9 - 152*w/3 = 0.
-19, -1, 0, 2, 3
Suppose 4*n**5 - 36*n**4 + 40*n**3 + 312*n**2 - 620*n + 300 = 0. What is n?
-3, 1, 5
Let 3*k**4 - 246*k**3 - 1017*k**2 - 1284*k - 516 = 0. Calculate k.
-2, -1, 86
Find k such that -27*k**4 - 279*k**3 - 453*k**2 + 399*k - 72 = 0.
-8, -3, 1/3
Factor 4*y**4 + 16*y**3 + 20*y**2 + 8*y.
4*y*(y + 1)**2*(y + 2)
Factor -2*d**2 + 3236*d/9 + 80.
-2*(d - 180)*(9*d + 2)/9
Determine f, given that f**5/4 + 5*f**4/4 + 3*f**3/2 - f**2/2 - 7*f/4 - 3/4 = 0.
-3, -1, 1
Factor 3*f**2/8 - 9051*f/4 + 27306867/8.
3*(f - 3017)**2/8
Find m such that 2*m**2/9 - 5228*m/3 + 3416498 = 0.
3921
Factor -3*q**4 - 126*q**3 + 132*q**2 + 126*q - 129.
-3*(q - 1)**2*(q + 1)*(q + 43)
Determine z so that 3*z**2 - 40164*z + 134428908 = 0.
6694
Find r such that -r**5/5 - r**4/5 + 4*r**3/5 + 4*r**2/5 = 0.
-2, -1, 0, 2
Suppose -d**4/4 - d**3/4 + d**2/4 + d/4 = 0. Calculate d.
-1, 0, 1
Solve -8*l**5 - 36*l**4 - 12*l**3 + 16*l**2 = 0 for l.
-4, -1, 0, 1/2
Factor -4*u**3 - 3308*u**2 - 678940*u + 2066700.
-4*(u - 3)*(u + 415)**2
Factor w**4/2 + 13*w**3/2 - 57*w**2/2 - 149*w/2 - 40.
(w - 5)*(w + 1)**2*(w + 16)/2
Factor -2*i**3/11 - 24*i**2/11 - 34*i/11 + 180/11.
-2*(i - 2)*(i + 5)*(i + 9)/11
Find u, given that u**4 + 4*u**3 - 16*u**2 - 16*u + 48 = 0.
-6, -2, 2
Determine x, given that -12*x**5/5 - 33*x**4 - 426*x**3/5 + 153*x**2 - 162*x/5 = 0.
-9, -6, 0, 1/4, 1
Suppose s**4/2 + 8*s**3 - 35*s**2/2 + 9*s = 0. What is s?
-18, 0, 1
Solve -3*r**4/8 + 27*r**3/8 - 87*r**2/8 + 117*r/8 - 27/4 = 0.
1, 2, 3
Factor -2*g**4 + 4*g**3.
-2*g**3*(g - 2)
Suppose 4*d**5 - 88*d**4 - 104*d**3 + 272*d**2 + 100*d - 184 = 0. What is d?
-2, -1, 1, 23
Factor -5*n**3/6 + 815*n**2/3 - 3245*n/6 + 270.
-5*(n - 324)*(n - 1)**2/6
Find c, given that 84*c**4/5 + 15*c**3 - 36*c**2 + 3*c + 6/5 = 0.
-2, -1/7, 1/4, 1
Factor 5*t**4 - 350*t**3 - 1455*t**2 - 1840*t - 740.
5*(t - 74)*(t + 1)**2*(t + 2)
Find j, given that 2*j**4/9 - 4*j**3/3 + 26*j**2/9 - 8*j/3 + 8/9 = 0.
1, 2
Factor g**2/3 + 410*g/3 + 42025/3.
(g + 205)**2/3
Suppose 4*k**2 + 44*k = 0. What is k?
-11, 0
Find v such that -8*v**4/19 - 138*v**3/19 - 386*v**2/19 - 