k + 4)*(9*k - 1)**2/11
Let -p**3/8 - 5*p**2/2 - 9*p/2 = 0. Calculate p.
-18, -2, 0
Factor -5*y**4/6 + 14635*y**3/2 - 32120165*y**2/2 - 96404405*y/6.
-5*y*(y - 4391)**2*(y + 1)/6
Find y, given that y**4/4 - 751*y**3/2 + 141000*y**2 + 751*y/2 - 564001/4 = 0.
-1, 1, 751
Factor 3*q**5/8 + 24*q**4 + 279*q**3/4 + 69*q**2 + 183*q/8.
3*q*(q + 1)**3*(q + 61)/8
Factor -2*l**3/23 - 118*l**2/23 - 340*l/23 - 224/23.
-2*(l + 1)*(l + 2)*(l + 56)/23
Let 3*v**4 - 1011*v**3 - 9*v**2 + 3039*v - 2022 = 0. What is v?
-2, 1, 337
Factor -k**2 + 184*k - 8464.
-(k - 92)**2
Let -2*f**4/9 - 92*f**3/9 + 32*f**2 - 292*f/9 + 98/9 = 0. What is f?
-49, 1
Solve 33*n**3/5 - 49*n**2/5 + 12*n/5 + 4/5 = 0 for n.
-2/11, 2/3, 1
What is b in 62*b**2/15 - 2*b/3 = 0?
0, 5/31
Factor -10*u**2 - 135*u - 65.
-5*(u + 13)*(2*u + 1)
Factor -m**3/7 - 33*m**2/7 - 146*m/7 - 24.
-(m + 2)*(m + 3)*(m + 28)/7
Factor 5*w**2 + 54340*w + 147641780.
5*(w + 5434)**2
Let -5*q**4 + 460*q**3 + 1415*q**2 + 950*q = 0. What is q?
-2, -1, 0, 95
Factor 3*n**2 - 12*n - 63.
3*(n - 7)*(n + 3)
Suppose 5*c**4 - 10*c**3 - 5*c**2 + 10*c = 0. What is c?
-1, 0, 1, 2
Factor -5*n**2 - 2545*n - 2540.
-5*(n + 1)*(n + 508)
Suppose -2*j**2/7 - 30*j + 2300/7 = 0. What is j?
-115, 10
Let -3*o**3 - 273*o**2 - 6345*o - 6075 = 0. Calculate o.
-45, -1
Find f, given that 2*f**2/9 + 374*f/9 + 124/3 = 0.
-186, -1
Factor -q**2/4 + 18*q - 35.
-(q - 70)*(q - 2)/4
Factor -n**4/3 - 25*n**3/3 - 56*n**2 - 48*n.
-n*(n + 1)*(n + 12)**2/3
Factor -3*o**2 - 678*o - 675.
-3*(o + 1)*(o + 225)
Factor 4*m**4 + 36*m**3 - 224*m**2 - 2304*m - 2048.
4*(m - 8)*(m + 1)*(m + 8)**2
Factor -4*x**3 - 1140*x**2 + 1144*x.
-4*x*(x - 1)*(x + 286)
Let w**2/4 + 695*w + 483025 = 0. Calculate w.
-1390
Find r, given that r**5/5 - 9*r**4/5 + 12*r**3/5 + 44*r**2/5 - 48*r/5 = 0.
-2, 0, 1, 4, 6
Factor -y**4/9 + 14*y**3 - 1804*y**2/3 + 84050*y/9 - 68921/3.
-(y - 41)**3*(y - 3)/9
Factor 33*g**3 + 24*g**2 - 9*g.
3*g*(g + 1)*(11*g - 3)
Factor -44*r**2 - 1480*r + 544.
-4*(r + 34)*(11*r - 4)
Find w, given that w**2 + 22*w - 104 = 0.
-26, 4
Factor t**2 + 160*t.
t*(t + 160)
Suppose -2*z**4/9 - 2*z**3/9 + 28*z**2/9 + 16*z/3 = 0. Calculate z.
-3, -2, 0, 4
Determine m, given that m**3/6 + 3*m**2 + 40*m/3 + 16 = 0.
-12, -4, -2
Solve 5*u**5 - 30*u**4 - 300*u**3 + 2750*u**2 - 5625*u = 0.
-9, 0, 5
Solve -5*u**4 - 25*u**3 + 5*u**2 + 25*u = 0 for u.
-5, -1, 0, 1
Solve -2*p**5/5 + 52*p**4/5 - 536*p**3/5 + 2736*p**2/5 - 6912*p/5 + 6912/5 = 0 for p.
4, 6
Suppose 12*b**4/7 - 52*b**3/7 + 52*b**2/7 - 12*b/7 = 0. Calculate b.
0, 1/3, 1, 3
Factor -2*l**4/9 + 220*l**3/3 - 55754*l**2/9 + 71720*l/3 - 212552/9.
-2*(l - 163)**2*(l - 2)**2/9
Factor 4*r**3 - 28*r**2 + 44*r - 20.
4*(r - 5)*(r - 1)**2
Factor -2*d**3/15 - 2*d**2/5 + 8/15.
-2*(d - 1)*(d + 2)**2/15
Factor -6*x**3/7 - 4*x**2/7 + 22*x/7 + 20/7.
-2*(x - 2)*(x + 1)*(3*x + 5)/7
Determine l, given that 5*l**3 + 220*l**2 - 225*l = 0.
-45, 0, 1
Factor 35*z**2 - 11435*z - 3270.
5*(z - 327)*(7*z + 2)
What is v in -v**5 - 28*v**4 + 229*v**3 - 548*v**2 + 420*v = 0?
-35, 0, 2, 3
Find r such that -10*r**5 + 485*r**4 + 4755*r**3 + 5605*r**2 - 26825*r - 14250 = 0.
-5, -1/2, 2, 57
Suppose 2*w**2/13 - 266*w/13 - 220 = 0. What is w?
-10, 143
Factor w**2/2 + 29*w + 645/2.
(w + 15)*(w + 43)/2
Determine t so that 2*t**2/5 - 31872*t/5 + 126978048/5 = 0.
7968
Find n such that 2*n**3 - 72*n**2/5 = 0.
0, 36/5
Factor -4*y**3 - 68*y**2 + 752*y - 1200.
-4*(y - 6)*(y - 2)*(y + 25)
Factor 4*s**2 - 44*s + 112.
4*(s - 7)*(s - 4)
Factor k**2 - 504*k + 63504.
(k - 252)**2
Factor 3*h**5/7 + 759*h**4/7.
3*h**4*(h + 253)/7
Factor -2*s**2 + 368*s - 16928.
-2*(s - 92)**2
Factor i**5 + 229*i**4 + 12763*i**3 - 39673*i**2 + 40136*i - 13456.
(i - 1)**3*(i + 116)**2
Solve 2*m**3/15 + 94*m**2/15 + 268*m/15 + 176/15 = 0 for m.
-44, -2, -1
Solve 2*z**5/3 + 34*z**4/3 + 122*z**3/3 - 78*z**2 - 108*z = 0.
-9, -1, 0, 2
What is b in 11*b**3/9 - 427*b**2/9 - 26*b/3 = 0?
-2/11, 0, 39
Suppose -q**3/9 + 4*q**2/9 + q/9 - 4/9 = 0. Calculate q.
-1, 1, 4
Let 3*s**2/4 - 57*s/4 - 15 = 0. Calculate s.
-1, 20
Factor -h**3 + 29*h**2 + 61*h + 31.
-(h - 31)*(h + 1)**2
Let 3*h**3/5 + 231*h**2/5 + 4329*h/5 - 4563/5 = 0. Calculate h.
-39, 1
Factor o**4/2 + 30*o**3 - 159*o**2 + 226*o - 195/2.
(o - 3)*(o - 1)**2*(o + 65)/2
Factor -z**2/3 - 952*z/3 - 1900/3.
-(z + 2)*(z + 950)/3
Find y such that -40*y**5/9 + 4*y**4 + 152*y**3/9 - 16*y**2 + 32*y/9 = 0.
-2, 0, 2/5, 1/2, 2
Determine h, given that 5*h**4 - 220*h**3 + 1200*h**2 - 2320*h + 1520 = 0.
2, 38
Solve -18*m**3/7 - 159*m**2/7 + 27*m/7 = 0 for m.
-9, 0, 1/6
Solve 3*x**2/4 - 135*x/4 + 33 = 0 for x.
1, 44
Factor 3*c**2 - 3.
3*(c - 1)*(c + 1)
Find g, given that -169*g**5/7 + 65*g**4 + 321*g**3/7 - 443*g**2/7 - 152*g/7 - 12/7 = 0.
-1, -2/13, 1, 3
Factor -3*l**3 - 2535*l**2 - 536784*l - 534252.
-3*(l + 1)*(l + 422)**2
Factor -2*h**2/5 - 6*h + 40.
-2*(h - 5)*(h + 20)/5
What is d in -27*d**3/5 + 93*d**2/5 - 18*d + 24/5 = 0?
4/9, 1, 2
Solve -p**2 - 33*p/2 + 17/2 = 0.
-17, 1/2
Let 400*s**5/7 + 75120*s**4/7 + 281604*s**3/7 + 50704*s**2 + 167952*s/7 + 26496/7 = 0. Calculate s.
-184, -3/2, -2/5
Factor -z**2 - 426*z - 45369.
-(z + 213)**2
Factor -2*y**2 - 1538*y + 1540.
-2*(y - 1)*(y + 770)
Factor u**3/5 + 24*u**2/5 - 331*u/5 + 306/5.
(u - 9)*(u - 1)*(u + 34)/5
Determine q, given that 5*q**2 - 40*q - 1365 = 0.
-13, 21
Factor -2*z**2 + 450*z - 448.
-2*(z - 224)*(z - 1)
Solve -15*a**3 + 96*a**2 + 369*a - 162 = 0 for a.
-3, 2/5, 9
What is f in f**5/6 + 2*f**4/3 - 17*f**3/6 - 52*f**2/3 - 82*f/3 - 40/3 = 0?
-4, -2, -1, 5
Factor -d**4/6 + 8*d**3/3 - 31*d**2/3 + 40*d/3 - 11/2.
-(d - 11)*(d - 3)*(d - 1)**2/6
Factor v**4/4 + 7*v**3/4 + 15*v**2/4 + 9*v/4.
v*(v + 1)*(v + 3)**2/4
Factor x**5/2 - x**4 - 3*x**3/2 + 4*x**2 - 2*x.
x*(x - 2)*(x - 1)**2*(x + 2)/2
Suppose 16900*l**5 - 59020*l**4 + 34304*l**3 + 54160*l**2 - 46848*l + 9216 = 0. What is l?
-1, 2/5, 24/13
Factor -16*m**3 - 780*m**2 - 1308*m + 376.
-4*(m + 2)*(m + 47)*(4*m - 1)
Factor n**3/4 + n**2/4.
n**2*(n + 1)/4
Suppose -3*r**5 - 9*r**4 + 3*r**3 + 21*r**2 - 12 = 0. Calculate r.
-2, -1, 1
Factor 3*s**3/2 - 93*s**2 + 183*s/2.
3*s*(s - 61)*(s - 1)/2
Factor -4*w**2 - 668*w - 664.
-4*(w + 1)*(w + 166)
Solve o**3 - 1272*o**2 - 5100*o - 5104 = 0.
-2, 1276
Factor -2*h**4/13 + 12*h**2/13 + 16*h/13 + 6/13.
-2*(h - 3)*(h + 1)**3/13
Find s, given that -3*s**5/2 - 21*s**4/2 + 213*s**3/2 - 291*s**2/2 - 105*s + 156 = 0.
-13, -1, 1, 2, 4
Suppose -8*k**4 - 100*k**3 - 356*k**2 - 300*k + 252 = 0. Calculate k.
-7, -3, 1/2
What is l in 3*l**3/2 - 60*l**2 = 0?
0, 40
Factor 4*j**2 + 520*j + 16900.
4*(j + 65)**2
Factor 2*k**3/5 + 518*k**2/5 + 6656*k - 6760.
2*(k - 1)*(k + 130)**2/5
Find j such that -2*j**2 + 2852*j = 0.
0, 1426
Factor 13*u**2 - 11*u - 2.
(u - 1)*(13*u + 2)
Factor v**3 + 12*v**2 + 36*v + 32.
(v + 2)**2*(v + 8)
Suppose 2*k**3/7 + 6*k**2/7 - 20*k/7 = 0. What is k?
-5, 0, 2
Factor f**3/5 + 9*f**2/5 + 18*f/5.
f*(f + 3)*(f + 6)/5
Factor -t**2/3 - 14*t/3 - 13/3.
-(t + 1)*(t + 13)/3
Factor -n**5/5 + 3*n**4/5 + 81*n**3/5 + 297*n**2/5 + 324*n/5.
-n*(n - 12)*(n + 3)**3/5
Factor -k**3 - 9*k**2 - 24*k - 16.
-(k + 1)*(k + 4)**2
What is z in 5*z**5 - 30*z**4 + 10*z**3 + 180*z**2 - 135*z - 270 = 0?
-2, -1, 3
Determine x so that -3*x**3 + 42*x**2 - 165*x + 126 = 0.
1, 6, 7
Solve -2*v**4 + 704*v**3 - 92928*v**2 + 5451776*v - 119939072 = 0.
88
Find j, given that 12*j**3 + 324*j**2 + 1395*j + 1650 = 0.
-22, -5/2
Factor -5*z**3 + 645*z**2 + 5*z - 645.
-5*(z - 129)*(z - 1)*(z + 1)
Factor 3*p**3/7 + 2943*p**2/7 + 717336*p/7 - 2178576/7.
3*(p - 3)*(p + 492)**2/7
Find f, given that -2*f**5/17 + 6*f**4/17 - 6*f**3/17 + 2*f**2/17 = 0.
0, 1
Factor -3*k**2 + 9*k + 324.
-3*(k - 12)*(k + 9)
Find z such that -3*z**5 - 24*z**4 + 72*z**3 + 96*z**2 - 240*z = 0.
-10, -2, 0, 2
Factor 27*g**2/2 + 849*g/2 + 186.
3*(g + 31)*(9*g + 4)/2
Factor 6*v**2/7 + 1168*v/7 + 776/7.
2*(v + 194)*(3*v + 2)/7
Factor 3*k**3 - 66*k**2 + 228*k - 216.
3*(k - 18)*(k - 2)**2
Find q such that q**3/5 - 36*q**2/5 + 384*q/5 - 1024/5 = 0.
4, 16
Suppose -98*l**2/9 + 64*l/3 + 8/9 = 0. What is l?
-2/49, 2
Let 3*q**2 + 45*q = 0. Calculate q.
-15, 0
Determine c, given that -5*c**2 + 25*c = 0.
0, 5
Find c, given that 4*c**3 + 90*c**2 + 128*c + 42 = 0.
-21, -1, -1/2
Suppose 2*j**2/13 + 58*j/13 - 60/13 =