- 12*t/19 - 10/19 = 0?
-5, -1, 1
Factor t**4 + 16*t**3 + 87*t**2 + 180*t + 108.
(t + 1)*(t + 3)*(t + 6)**2
Find o, given that -o**5/2 + 5*o**4/2 - 3*o**3 = 0.
0, 2, 3
Let -6*i**3/5 + 436*i**2/5 + 30*i - 292/5 = 0. What is i?
-1, 2/3, 73
Factor 2*f**2/9 - 250*f/9 + 836/3.
2*(f - 114)*(f - 11)/9
Solve 5*x**5/3 + 31*x**4/3 - 13*x**3 - 79*x**2/3 - 14*x/3 = 0.
-7, -1, -1/5, 0, 2
Solve -5*t**5 - 50*t**4 - 135*t**3 - 90*t**2 = 0 for t.
-6, -3, -1, 0
Factor -f**4/6 + 4*f**3/3 - 7*f**2/6.
-f**2*(f - 7)*(f - 1)/6
Find x, given that -x**2/4 - 112*x - 12544 = 0.
-224
Factor 5*t**4 + 30*t**3 - 40*t**2 - 30*t + 35.
5*(t - 1)**2*(t + 1)*(t + 7)
Find s, given that 4*s**2 + 436*s - 1344 = 0.
-112, 3
Factor -m**5/4 - 3*m**4/2 - 13*m**3/4 - 3*m**2 - m.
-m*(m + 1)**2*(m + 2)**2/4
Solve l**2/6 + 11*l + 363/2 = 0 for l.
-33
Factor -5*i**3 + 555*i**2 - 540*i - 1100.
-5*(i - 110)*(i - 2)*(i + 1)
Factor -2*l**2/7 + 34*l/7 + 76/7.
-2*(l - 19)*(l + 2)/7
Determine b, given that 2*b**2/5 + 16052*b/5 + 32208338/5 = 0.
-4013
Suppose 2*y**2/15 - 26*y/15 - 28/15 = 0. Calculate y.
-1, 14
Suppose 2*r**4/9 + 20*r**3/9 - 58*r**2/9 - 12*r + 16 = 0. Calculate r.
-12, -2, 1, 3
Solve -2*i**4/11 + 6*i**3 + 68*i**2/11 = 0 for i.
-1, 0, 34
Find f, given that -2*f**4 - 4*f**3 + 14*f**2 - 8*f = 0.
-4, 0, 1
Factor -5*y**3/6 - 5*y**2/6 + 40*y/3 + 40/3.
-5*(y - 4)*(y + 1)*(y + 4)/6
Find f such that -f**4 + 6*f**3 - 13*f**2 + 12*f - 4 = 0.
1, 2
Factor 4*r**2 + 48*r - 52.
4*(r - 1)*(r + 13)
Determine l so that -6*l**2/5 + 2*l + 44/5 = 0.
-2, 11/3
Factor 5*w**3/3 + 80*w**2/3 + 140*w/3.
5*w*(w + 2)*(w + 14)/3
Let 20*f**2 - 20135*f - 5035 = 0. What is f?
-1/4, 1007
Determine j so that -j**5/3 - 2*j**4 + 37*j**3/3 - 34*j**2/3 - 12*j + 40/3 = 0.
-10, -1, 1, 2
Factor h**3 - h**2.
h**2*(h - 1)
Factor -4*g**3 - 116*g**2 - 796*g - 684.
-4*(g + 1)*(g + 9)*(g + 19)
Factor 4*v**4/3 - 80*v**3/3 + 176*v**2 - 1280*v/3 + 1024/3.
4*(v - 8)**2*(v - 2)**2/3
Factor -24*q**3 + 532*q**2 - 592*q + 84.
-4*(q - 21)*(q - 1)*(6*q - 1)
Factor 2*j**3 + 6*j**2 - 26*j - 30.
2*(j - 3)*(j + 1)*(j + 5)
Find c, given that 2*c**3/5 - 192*c**2/5 + 3978*c/5 + 31212/5 = 0.
-6, 51
Let 2*i**4/5 - 6*i**3/5 + 2*i**2/5 + 6*i/5 - 4/5 = 0. What is i?
-1, 1, 2
Let -4*x**4 - 60*x**3 - 332*x**2 - 804*x - 720 = 0. Calculate x.
-5, -4, -3
Let -2*p**4 + 4*p**3 + 176*p**2 + 704*p + 768 = 0. What is p?
-4, -2, 12
Solve 64*j**4/3 + 208*j**3 + 769*j**2/3 - 1222*j + 2209/3 = 0 for j.
-47/8, 1
Factor -2*n**5/3 - 38*n**4 + 78*n**3 - 118*n**2/3.
-2*n**2*(n - 1)**2*(n + 59)/3
Let -a**5 + 235*a**4 - 19141*a**3 + 594225*a**2 - 4488750*a + 6750000 = 0. Calculate a.
2, 8, 75
Find s, given that -6*s**4 - 64*s**3 - 240*s**2 - 384*s - 224 = 0.
-14/3, -2
Find u such that -121*u**3/6 + 11*u**2 + 48*u + 64/3 = 0.
-8/11, 2
Factor -z**2/3 - 8572*z/3 - 18369796/3.
-(z + 4286)**2/3
Factor -27*a**4 + 66*a**3 + 213*a**2 + 120*a.
-3*a*(a + 1)**2*(9*a - 40)
Solve -j**4 - 686*j**3 - 117648*j**2 + 686*j + 117649 = 0 for j.
-343, -1, 1
What is r in -r**4/3 - 13*r**3/3 + 15*r**2 - 47*r/3 + 16/3 = 0?
-16, 1
Factor 3*t**2 - 732*t - 2223.
3*(t - 247)*(t + 3)
Factor -2*z**5 - 8*z**4 - 8*z**3 + 4*z**2 + 10*z + 4.
-2*(z - 1)*(z + 1)**3*(z + 2)
Factor 2*r**2/7 - 20*r/7 + 18/7.
2*(r - 9)*(r - 1)/7
Factor t**4 - 382*t**3 + 36861*t**2 - 72580*t + 36100.
(t - 190)**2*(t - 1)**2
Solve 6*s**5 - 107*s**4 + 630*s**3 - 1188*s**2 - 216*s = 0.
-1/6, 0, 6
Solve -2*i**4/5 - 2*i**3/5 + 4*i**2/5 = 0.
-2, 0, 1
Solve -5*o**4 + 115*o**3 + 1780*o**2 + 3060*o = 0.
-9, -2, 0, 34
What is i in -3*i**5 + 45*i**4 - 246*i**3 + 594*i**2 - 615*i + 225 = 0?
1, 3, 5
Factor -3*l**2/8 - 189*l/4.
-3*l*(l + 126)/8
Factor -m**4/4 - m**3/2 + 3*m**2/4.
-m**2*(m - 1)*(m + 3)/4
Factor 2*q**4/7 - 114*q**3/7 + 240*q**2 - 224*q.
2*q*(q - 28)**2*(q - 1)/7
Solve -5*s**3 + 6630*s**2 - 2930460*s + 431754440 = 0 for s.
442
Find u, given that 2*u**4 - 18*u**3 + 16*u**2 = 0.
0, 1, 8
Suppose -4*l**5 - 1244*l**4 - 102076*l**3 - 820404*l**2 + 130464*l + 9850032 = 0. Calculate l.
-151, -6, 3
Factor p**2/4 - 9*p/4 + 7/2.
(p - 7)*(p - 2)/4
Factor 245*b**3 + 945*b**2 + 675*b + 135.
5*(b + 3)*(7*b + 3)**2
Determine m so that m**4/8 + 133*m**3/8 + 33*m**2/2 = 0.
-132, -1, 0
Factor 2*j**2/5 + 2424*j/5 + 734472/5.
2*(j + 606)**2/5
Factor 3*b**4 - 222*b**3 + 5823*b**2 - 63492*b + 245388.
3*(b - 26)**2*(b - 11)**2
Solve -3*s**2 + 6*s = 0.
0, 2
Factor 22*r**3 + 1720*r**2 - 1426*r - 316.
2*(r - 1)*(r + 79)*(11*r + 2)
Solve -s**5 + 15*s**3 + 10*s**2 - 24*s = 0.
-3, -2, 0, 1, 4
Factor g**5 - 11*g**4 + 48*g**3 - 104*g**2 + 112*g - 48.
(g - 3)*(g - 2)**4
Let -k**5 + 10*k**4 - 90*k**2 + 81*k = 0. Calculate k.
-3, 0, 1, 3, 9
Solve -u**3 - 23*u**2 - 96*u - 108 = 0.
-18, -3, -2
Factor -z**5 - 92*z**4 - 2288*z**3 - 7744*z**2.
-z**2*(z + 4)*(z + 44)**2
Suppose s**4/3 + 8*s**3 - s**2 - 74*s/3 - 16 = 0. Calculate s.
-24, -1, 2
Determine l so that l**5/8 - 7*l**4/4 + 13*l**3/8 = 0.
0, 1, 13
Determine f, given that 6*f**2/5 + 15456*f/5 + 9953664/5 = 0.
-1288
Factor 3*k**4/8 + 27*k**3/4 - 3*k**2/2 - 27*k.
3*k*(k - 2)*(k + 2)*(k + 18)/8
Suppose -2*c**2/3 + 3908*c/3 + 3910/3 = 0. What is c?
-1, 1955
Suppose -j**4/5 + 227*j**3/5 - 13218*j**2/5 + 7616*j - 25088/5 = 0. What is j?
1, 2, 112
Solve 30*s**5 - 85*s**4 - 805*s**3 - 625*s**2 + 855*s + 630 = 0 for s.
-3, -3/2, -2/3, 1, 7
Solve -j**2/6 + 32/3 = 0.
-8, 8
Suppose l**4 + 176*l**3 - 7*l**2 - 1226*l + 1056 = 0. Calculate l.
-176, -3, 1, 2
Find x such that x**2/7 - 2*x/7 + 1/7 = 0.
1
Suppose 5*s**4/2 - 1063*s**3/2 + 842*s**2 + 422*s = 0. Calculate s.
-2/5, 0, 2, 211
Factor a**5 + 4*a**4 - 78*a**3 + 200*a**2 - 187*a + 60.
(a - 5)*(a - 1)**3*(a + 12)
Solve 2*y**3 + 68*y**2 - 390*y = 0 for y.
-39, 0, 5
Solve o**5/5 - 22*o**4/5 + 41*o**3/5 - 4*o**2 = 0.
0, 1, 20
Determine q, given that 3*q**5 - 57*q**3 - 102*q**2 + 36*q + 120 = 0.
-2, 1, 5
Factor 289*g**2 - 1870*g + 3025.
(17*g - 55)**2
Solve -5*b**4 - 55*b**3 + 365*b**2 - 545*b + 240 = 0.
-16, 1, 3
Factor -2*f**5/7 + 104*f**4/7 + 440*f**3/7 + 64*f**2.
-2*f**2*(f - 56)*(f + 2)**2/7
Find u, given that u**3/6 + 13*u**2/3 + 80*u/3 + 48 = 0.
-18, -4
Factor -3*c**3/2 + 39*c**2 - 249*c/2 - 165.
-3*(c - 22)*(c - 5)*(c + 1)/2
Solve n**3 + 75*n**2 - 153*n + 77 = 0.
-77, 1
Factor 5*j**2/2 - 155*j/2 - 3105.
5*(j - 54)*(j + 23)/2
Factor -2*y**3 - 56*y**2 - 264*y.
-2*y*(y + 6)*(y + 22)
Suppose -2*n**4 + 58*n**3 - 400*n**2 + 824*n - 480 = 0. What is n?
1, 2, 6, 20
Factor 5*s**4/6 + 65*s**3/6 + 85*s**2/2 + 105*s/2.
5*s*(s + 3)**2*(s + 7)/6
Let f**4/3 - 11*f**3/3 + 14*f**2/3 + 44*f/3 - 24 = 0. Calculate f.
-2, 2, 9
Factor -2*q**2 + 270*q + 548.
-2*(q - 137)*(q + 2)
Factor -2*w**4/7 - 34*w**3/7.
-2*w**3*(w + 17)/7
Solve -10*y**5 - 47*y**4 - 45*y**3 + 18*y**2 = 0 for y.
-3, -2, 0, 3/10
Factor -3*g**5/4 - 21*g**4/4 - 12*g**3 - 6*g**2 + 12*g + 12.
-3*(g - 1)*(g + 2)**4/4
Factor -2*s**3 + 23*s**2/2 + 3*s.
-s*(s - 6)*(4*s + 1)/2
Find k such that 87*k**3/4 + 119*k**2/2 + 33*k + 2 = 0.
-2, -2/3, -2/29
Factor -n**2/3 + 16/3.
-(n - 4)*(n + 4)/3
Determine f so that -2*f**2/11 - 24*f/11 + 26/11 = 0.
-13, 1
Factor 13*n**3/2 - 59*n**2/2 - 15*n.
n*(n - 5)*(13*n + 6)/2
Factor -2*q**2/7 + 288*q/7 - 10368/7.
-2*(q - 72)**2/7
Factor -2*b**4 - 2932*b**3 - 1428840*b**2 - 229535600*b + 941192000.
-2*(b - 4)*(b + 490)**3
Suppose z**3/3 - 10*z**2 + 100*z - 1000/3 = 0. Calculate z.
10
Factor -3*q**3 + 42*q**2 + 45*q.
-3*q*(q - 15)*(q + 1)
Find q, given that -12*q**3 + 2812*q**2 + 4728*q - 1888 = 0.
-2, 1/3, 236
Factor -3*k**3/5 + 6*k**2/5 + 3*k - 18/5.
-3*(k - 3)*(k - 1)*(k + 2)/5
Factor -3*j**3/4 + 30*j**2 - 204*j + 384.
-3*(j - 32)*(j - 4)**2/4
Factor 5*r**3 - 255*r**2 + 2770*r - 2520.
5*(r - 36)*(r - 14)*(r - 1)
Solve -4*d**2/3 + 12*d - 80/3 = 0.
4, 5
Suppose -u**2 - 250*u - 15625 = 0. Calculate u.
-125
What is z in z**2/5 + 9*z/5 + 4 = 0?
-5, -4
Find c, given that 3*c**5/8 - 111*c**4/4 + 4107*c**3/8 = 0.
0, 37
Factor 4*u**3 + 348*u**2 + 336*u - 688.
4*(u - 1)*(u + 2)*(u + 86)
Factor -2*b**2/5 + 54*b/5 + 36.
-2*(b - 30)*(b + 3)/5
Determine l so that 12*l**5/7 - 33*l**4 + 3*l**3 + 717*l**2/7 - 633*l/7 + 114/7 = 0.
-2, 1/4, 1, 19
Factor -h**2 - 15*h - 26.
-(h + 2)*(h + 13)
Factor -t**3/2 + 327*t**2/2 - 163*t.
-t*(t - 326)*(t - 1)/2
Solve -i**3/2 - 5*i**2 - 6*i + 36 = 0.
-6, 2
Factor -5*n**4 - 30*n**3