- 496)*(n + 6)
Solve -4*v**4 - 192*v**3 + 216*v**2 + 992*v + 588 = 0 for v.
-49, -1, 3
Solve x**3 - 7*x**2 + 12*x = 0.
0, 3, 4
What is f in 2*f**5 - 4*f**4 - 36*f**3 + 72*f**2 + 162*f - 324 = 0?
-3, 2, 3
What is l in 28*l**3 - 32*l**2 + 4*l = 0?
0, 1/7, 1
Find q such that -15*q**4 - 729*q**3 + 45*q**2 + 2157*q - 1458 = 0.
-243/5, -2, 1
Determine i so that 8*i**4 - 34*i**3 - 248*i**2 + 64*i = 0.
-4, 0, 1/4, 8
Factor 2*j**4 + 22*j**3 + 64*j**2 + 56*j.
2*j*(j + 2)**2*(j + 7)
Determine a so that 6*a**4 - 543*a**3 - 837*a**2 + 822*a + 552 = 0.
-2, -1/2, 1, 92
Suppose -3*j**4/4 + 447*j**3/8 - 651*j**2/8 - 219*j/4 = 0. What is j?
-1/2, 0, 2, 73
Let -2*x**3 + 3630*x**2 - 1641654*x - 4957686 = 0. Calculate x.
-3, 909
Determine y, given that 5*y**5 - 55*y**3 - 90*y**2 - 40*y = 0.
-2, -1, 0, 4
Factor -2*l**2/3 + 20*l - 208/3.
-2*(l - 26)*(l - 4)/3
What is l in 4*l**2/3 + 344*l + 22188 = 0?
-129
Let 2*d**3/3 + 134*d**2/3 = 0. Calculate d.
-67, 0
Factor -2*h**5 + 3*h**3/2 + h**2/2.
-h**2*(h - 1)*(2*h + 1)**2/2
Find n, given that -10*n**4 - 1132*n**3 - 17738*n**2/5 - 15216*n/5 - 792 = 0.
-110, -2, -3/5
Factor u**3 - 329*u**2 + 27224*u - 26896.
(u - 164)**2*(u - 1)
Factor 2*t**3 - 754*t**2 - 9264*t - 28008.
2*(t - 389)*(t + 6)**2
Let -2*t**4/7 + 28*t**3 + 1230*t**2/7 + 1872*t/7 = 0. Calculate t.
-3, 0, 104
Factor 4*l**4 + 284*l**3 + 4888*l**2 - 5760*l - 10368.
4*(l - 2)*(l + 1)*(l + 36)**2
Solve g**2 + 598*g + 597 = 0.
-597, -1
Factor 4*z**3/7 - 57*z**2/7 + 174*z/7 - 40/7.
(z - 10)*(z - 4)*(4*z - 1)/7
Let o**3 - 371*o**2 - 372*o = 0. Calculate o.
-1, 0, 372
Factor -2*w**3/9 + 52*w**2/9 - 46*w/3.
-2*w*(w - 23)*(w - 3)/9
Solve 14*l**3/5 + 2*l**2/5 - 14*l/5 - 2/5 = 0 for l.
-1, -1/7, 1
Factor -2*v**2 + 18*v - 36.
-2*(v - 6)*(v - 3)
Factor -8*w**3 + 14*w**2 - 4*w - 2.
-2*(w - 1)**2*(4*w + 1)
Find g, given that -14641*g**2/6 - 484*g/3 - 8/3 = 0.
-4/121
Factor 3*s**2/5 + 36*s/5 + 81/5.
3*(s + 3)*(s + 9)/5
What is u in -2*u**2/11 + 164*u - 36982 = 0?
451
Factor -4*k**4 + 20*k**3 + 4*k**2 - 68*k - 48.
-4*(k - 4)*(k - 3)*(k + 1)**2
Determine q so that -q**5/2 - 11*q**4/2 + 27*q**3/2 + 11*q**2/2 - 13*q = 0.
-13, -1, 0, 1, 2
Factor -15*n**2 - 4866*n - 1944.
-3*(n + 324)*(5*n + 2)
What is z in -4*z**2 - 2528*z - 399424 = 0?
-316
Let 10*w**2/3 + 286*w/3 - 116/3 = 0. What is w?
-29, 2/5
Factor -3*t**3 + 381*t**2 - 11229*t + 96387.
-3*(t - 89)*(t - 19)**2
Let 243*n**4/8 - 1755*n**3/4 - 2121*n**2/8 + 363*n/2 - 45/2 = 0. What is n?
-1, 2/9, 15
Factor 5*z**5 + 175*z**4 + 1875*z**3 + 5625*z**2.
5*z**2*(z + 5)*(z + 15)**2
Solve 2*t**3/7 + 106*t**2/7 + 170*t + 546 = 0 for t.
-39, -7
Let -1280*q**4 - 3360*q**3 - 1165*q**2 + 825*q - 90 = 0. What is q?
-2, -1, 3/16
Determine k so that -2*k**3/17 - 14*k**2/17 = 0.
-7, 0
Find f, given that -2*f**3 + 2822*f**2 - 994048*f - 996872 = 0.
-1, 706
Solve 4*k**2/7 + 22*k/7 + 10/7 = 0 for k.
-5, -1/2
Find n, given that -n**3/3 + 60*n**2 - 2511*n - 17298 = 0.
-6, 93
What is c in c**3/2 - 713*c**2 + 254896*c - 506944 = 0?
2, 712
Find l, given that -4*l**3 - 2180*l**2 + 2192*l + 4368 = 0.
-546, -1, 2
Solve g**4 - 5*g**3 + 20*g - 16 = 0.
-2, 1, 2, 4
Factor -5*h**2 - 36630*h - 67087845.
-5*(h + 3663)**2
Factor -2*m**5 - 8*m**4 - 12*m**3 - 8*m**2 - 2*m.
-2*m*(m + 1)**4
Let z**5/6 - 17*z**4/6 + 47*z**3/3 - 95*z**2/3 + 161*z/6 - 49/6 = 0. What is z?
1, 7
Determine s so that -5*s**4 - 15*s**3 + 20*s = 0.
-2, 0, 1
Suppose -s**2 + 122*s + 504 = 0. What is s?
-4, 126
Factor l**3/6 + l**2 - 15*l/2 - 27.
(l - 6)*(l + 3)*(l + 9)/6
Factor -y**5/4 - 1581*y**4/4 + 4749*y**3/4 - 4751*y**2/4 + 396*y.
-y*(y - 1)**3*(y + 1584)/4
Suppose 3*t**2 - 54*t + 51 = 0. Calculate t.
1, 17
Determine o so that 4*o**5 + 116*o**4 + 972*o**3 + 1612*o**2 - 2704*o = 0.
-13, -4, 0, 1
Factor -2*t**3 + 16*t**2 + 66*t.
-2*t*(t - 11)*(t + 3)
Factor 2*z**2 + 66*z - 68.
2*(z - 1)*(z + 34)
Solve 2*l**4/5 - l**3 - 78*l**2/5 - 88*l/5 + 64/5 = 0 for l.
-4, -2, 1/2, 8
Let 111*x**4/7 + 1326*x**3/7 - 72*x**2/7 = 0. Calculate x.
-12, 0, 2/37
Let -3*s**3 + 9*s**2 - 9*s + 3 = 0. What is s?
1
Find h such that -5*h**5 + 5*h**4 + 30*h**3 = 0.
-2, 0, 3
Let -125*q**4 + 775*q**3 - 1495*q**2 + 845*q = 0. What is q?
0, 1, 13/5
Suppose 2*m**3 + 126*m**2 + 702*m + 1026 = 0. Calculate m.
-57, -3
Factor 4286875*m**3 - 270750*m**2 + 5700*m - 40.
5*(95*m - 2)**3
What is p in 16*p**4/5 + 44*p**3/5 - 12*p**2/5 - 64*p/5 + 16/5 = 0?
-2, 1/4, 1
Determine u so that 5*u**3/2 - 280*u**2 - 1155*u/2 + 855 = 0.
-3, 1, 114
Find m such that -m**3/3 - 2*m**2/3 + 5*m/3 + 2 = 0.
-3, -1, 2
Let -2*i**3/9 - 10*i**2/9 + 8*i/9 + 40/9 = 0. What is i?
-5, -2, 2
Factor 6*z**3 - 948*z**2/7 - 414*z/7.
6*z*(z - 23)*(7*z + 3)/7
Determine b, given that 2*b**5 - 10*b**4 - 58*b**3 + 74*b**2 + 56*b - 64 = 0.
-4, -1, 1, 8
Factor 4*u**2 + 8080*u + 4080400.
4*(u + 1010)**2
Factor -4*b**3 - 36*b**2 - 80*b - 48.
-4*(b + 1)*(b + 2)*(b + 6)
Find a, given that 2*a**3/13 - 618*a**2/13 - 620*a/13 = 0.
-1, 0, 310
Factor z**3/6 + 4*z**2/3 - 3*z/2.
z*(z - 1)*(z + 9)/6
Factor r**4/4 - 53*r**3/4 + 669*r**2/4 + 1053*r/4 - 2187/2.
(r - 27)**2*(r - 2)*(r + 3)/4
Determine i, given that -i**5 - 131*i**4 + 535*i**3 - 673*i**2 + 270*i = 0.
-135, 0, 1, 2
Factor -5*k**3 + 60*k**2 - 180*k + 160.
-5*(k - 8)*(k - 2)**2
Suppose -2*d**5/9 + 4*d**4/3 - 22*d**3/9 + 4*d**2/3 = 0. Calculate d.
0, 1, 2, 3
Factor 5*i**2 + 185*i + 510.
5*(i + 3)*(i + 34)
Factor y**4 + 2548*y**3 + 1620526*y**2 - 3248700*y + 1625625.
(y - 1)**2*(y + 1275)**2
Suppose 605*a**5 + 2145*a**4 + 2520*a**3 + 980*a**2 = 0. What is a?
-14/11, -1, 0
Find r such that -4*r**3/5 - 32*r**2/5 + 132*r/5 = 0.
-11, 0, 3
Suppose -i**3 - i**2 + 4*i + 4 = 0. Calculate i.
-2, -1, 2
Solve 3*j**4 - 21*j**3 - 72*j**2 + 540*j = 0.
-5, 0, 6
Let 14*p**3 + 290*p**2 + 1600*p + 1000 = 0. What is p?
-10, -5/7
Let -r**3 - 113*r**2 - 3800*r - 32500 = 0. Calculate r.
-50, -13
Determine v, given that -2*v**4/9 - 5*v**3/9 + v**2/3 + 8*v/9 - 4/9 = 0.
-2, 1/2, 1
Factor -4*l**2 - 616*l + 1884.
-4*(l - 3)*(l + 157)
Solve -5*h**2 - 5680*h - 1613120 = 0.
-568
Factor 3*u**4/7 + 18*u**3/7 + 24*u**2/7.
3*u**2*(u + 2)*(u + 4)/7
Suppose 4*z**5 - 136*z**4 + 1052*z**3 + 136*z**2 - 1056*z = 0. What is z?
-1, 0, 1, 12, 22
What is k in -k**4/3 - 7*k**3/3 - 14*k**2/3 - 8*k/3 = 0?
-4, -2, -1, 0
Suppose -5*b**2 + 155*b - 1100 = 0. What is b?
11, 20
Let -2*d**4 - 296*d**3 - 11244*d**2 - 21608*d - 10658 = 0. What is d?
-73, -1
Suppose -g**3/2 + 439*g**2/2 - 48399*g/2 + 47961/2 = 0. What is g?
1, 219
Factor 2*w**3 + 42*w**2 + 36*w - 80.
2*(w - 1)*(w + 2)*(w + 20)
Factor -s**4/4 - 9*s**3/2 - 15*s**2 + 50*s.
-s*(s - 2)*(s + 10)**2/4
Factor 5*c**5 + 18*c**4 + 17*c**3 - 4*c.
c*(c + 1)**2*(c + 2)*(5*c - 2)
Let 2*k**2 + 22*k - 1140 = 0. Calculate k.
-30, 19
Let -u**5/4 - 5*u**4/4 - 2*u**3 - u**2 = 0. What is u?
-2, -1, 0
Suppose -3*r**2 + 15774*r - 20734923 = 0. Calculate r.
2629
Factor 2*j**3/5 - 214*j**2/5 - 656*j/5 - 88.
2*(j - 110)*(j + 1)*(j + 2)/5
Factor -2*o**5/5 - 2*o**4 - 16*o**3/5 - 8*o**2/5.
-2*o**2*(o + 1)*(o + 2)**2/5
Factor -2*o**3/17 + 2*o**2 + 8*o/17 - 8.
-2*(o - 17)*(o - 2)*(o + 2)/17
Find b, given that -14*b**4/11 - 258*b**3 - 1988*b**2/11 + 6456*b/11 - 1616/11 = 0.
-202, -2, 2/7, 1
Find h such that 9*h**4/5 + 24*h**3/5 - 9*h**2/5 - 36*h/5 + 12/5 = 0.
-2, 1/3, 1
Factor -y**2 - 159*y - 620.
-(y + 4)*(y + 155)
Suppose 4*d**4 + 580*d**3 + 28224*d**2 + 470016*d + 442368 = 0. What is d?
-48, -1
Factor -2*t**4/7 + 4*t**3/7 + 58*t**2/7 + 12*t.
-2*t*(t - 7)*(t + 2)*(t + 3)/7
Find o such that o**3/2 - 4*o**2 - 79*o/2 - 35 = 0.
-5, -1, 14
Factor -8*q**3 - 132*q**2 + 372*q - 152.
-4*(q - 2)*(q + 19)*(2*q - 1)
Factor 4*n**4 + 44*n**3 + 124*n**2 + 84*n.
4*n*(n + 1)*(n + 3)*(n + 7)
Factor 3*j**3 + 21*j**2 + 33*j + 15.
3*(j + 1)**2*(j + 5)
Suppose -m**5 + 75*m**4 - 674*m**3 + 1550*m**2 + 675*m - 1625 = 0. What is m?
-1, 1, 5, 65
Solve -2*k**2/5 - 74*k/5 + 156/5 = 0.
-39, 2
Factor -4*g**3 - 828*g**2 - 57132*g - 1314036.
-4*(g + 69)**3
Determine r so that 5*r**2 + 790*r - 1600 = 0.
-160, 2
Factor -5*j**4/6 + 19*j**3/6 - 8*j**2/3 - 2*j/3.
-j*(j - 2)**2*(5*j + 1)/6
Find o, given that -o**2 + 7528*o - 14167696 = 0.
3764
Find z, given that -21*z**4 + 288*z**3 - 399*z**2 - 2448*z - 660 = 0.
-2, -2/7, 5, 11
Factor -20*c**2/9 + 76*c/9 + 32/3.
-4*(c + 1)*(5*c - 2