g - 18)*(g - 13)/7
Factor 3*f**3 - 99*f**2 + 96*f.
3*f*(f - 32)*(f - 1)
Find s, given that -2*s**5/7 - 12*s**4/7 - 10*s**3/7 = 0.
-5, -1, 0
Factor -4*n**4 - 20*n**3 + 28*n**2 + 20*n - 24.
-4*(n - 1)**2*(n + 1)*(n + 6)
Suppose l**3/3 - 4*l + 16/3 = 0. What is l?
-4, 2
Factor 2*h**2/13 - 84*h/13 + 850/13.
2*(h - 25)*(h - 17)/13
Factor -4*a**4 - 16*a**3 - 16*a**2.
-4*a**2*(a + 2)**2
Factor -2*h**5/3 - 10*h**4 - 32*h**3 + 128*h**2/3.
-2*h**2*(h - 1)*(h + 8)**2/3
Factor 2*f**2/5 - 16*f/5 - 96/5.
2*(f - 12)*(f + 4)/5
Factor -4*f**2 - 68*f + 240.
-4*(f - 3)*(f + 20)
Find u, given that 26*u**4/9 - 446*u**3/9 + 48*u**2 + 776*u/9 - 128/9 = 0.
-1, 2/13, 2, 16
Factor 2*t**3/5 + 4*t**2 + 46*t/5 + 28/5.
2*(t + 1)*(t + 2)*(t + 7)/5
Factor 2*a**2/5 - 94*a/5 + 92/5.
2*(a - 46)*(a - 1)/5
Factor -t**2 + 205*t - 204.
-(t - 204)*(t - 1)
Factor -411*n**2 + 413*n - 2.
-(n - 1)*(411*n - 2)
Factor -2*l**2 - 22*l + 52.
-2*(l - 2)*(l + 13)
Solve i**4/2 - 5*i**3 + 35*i**2/2 - 25*i + 12 = 0 for i.
1, 2, 3, 4
Determine t so that -2*t**2/23 + 274*t/23 + 2016/23 = 0.
-7, 144
Find c such that -4*c**2/7 + 60*c/7 - 200/7 = 0.
5, 10
Factor -250*u**3 - 4004*u**2 - 64*u.
-2*u*(u + 16)*(125*u + 2)
Factor -15*v**3 - 126*v**2 + 357*v + 468.
-3*(v - 3)*(v + 1)*(5*v + 52)
Factor 2*y**4 - 214*y**3 + 422*y**2 - 210*y.
2*y*(y - 105)*(y - 1)**2
Let -2*t**5/3 - 611*t**4/2 - 104191*t**3/3 + 369379*t**2/6 - 17710*t - 26450/3 = 0. What is t?
-230, -1/4, 1
Factor -2*o**2/5 + 14*o/5 + 16/5.
-2*(o - 8)*(o + 1)/5
What is l in 3*l**4 - 165*l**3 + 3078*l**2 - 20412*l + 17496 = 0?
1, 18
Find k, given that k**3/2 + 39*k**2/2 + 37*k = 0.
-37, -2, 0
Suppose 2*a**4/19 - 12*a**3/19 + 24*a**2/19 - 16*a/19 = 0. Calculate a.
0, 2
Factor 14*h**2/9 + 284*h/3 - 122/9.
2*(h + 61)*(7*h - 1)/9
Factor 2*t**3/9 + 20*t**2/9 + 8*t/3 - 16.
2*(t - 2)*(t + 6)**2/9
Factor -2*j**4 - 49*j**3 - 114*j**2 - 89*j - 22.
-(j + 1)**2*(j + 22)*(2*j + 1)
What is g in -3*g**3/5 - 6*g**2/5 = 0?
-2, 0
Factor 7*w**4 - 16*w**3 - 52*w**2 + 16*w.
w*(w - 4)*(w + 2)*(7*w - 2)
Find l such that 4*l**2 + 5032*l + 1582564 = 0.
-629
Factor -2*r**5/15 + 14*r**4/15 - 12*r**3/5 + 8*r**2/3 - 16*r/15.
-2*r*(r - 2)**3*(r - 1)/15
Factor 2*n**4 + 6*n**3 - 6*n**2 - 22*n - 12.
2*(n - 2)*(n + 1)**2*(n + 3)
Factor -m**5 - m**4 + 27*m**3 - 27*m**2 - 54*m.
-m*(m - 3)**2*(m + 1)*(m + 6)
Find v such that -3*v**2 - 30*v + 33 = 0.
-11, 1
Factor -4*b**2/3 + 17*b/3 - 4/3.
-(b - 4)*(4*b - 1)/3
Find p, given that 3*p**3 - 915*p**2 + 1821*p - 909 = 0.
1, 303
Solve 120*t**5 - 470*t**4 + 705*t**3 - 495*t**2 + 155*t - 15 = 0.
1/6, 3/4, 1
Factor 4*f**2 + 8*f + 4.
4*(f + 1)**2
Factor -4*k**2 + 968*k - 58564.
-4*(k - 121)**2
Factor -2*v**2/11 + 46*v/11 - 24.
-2*(v - 12)*(v - 11)/11
What is f in 4*f**3 + 64*f**2 + 36*f - 360 = 0?
-15, -3, 2
Suppose -2*k**4 - 18*k**3 + 22*k**2 + 18*k - 20 = 0. What is k?
-10, -1, 1
Solve d**4 + 83*d**3 - 169*d**2 + 85*d = 0 for d.
-85, 0, 1
Factor 2*x**2 - 130*x + 2000.
2*(x - 40)*(x - 25)
Factor 4*k**2 - 1736*k + 1732.
4*(k - 433)*(k - 1)
Factor -d**3 + 93*d**2/4 - 189*d/4.
-d*(d - 21)*(4*d - 9)/4
What is r in 2*r**4 + 20*r**3 - 6*r**2 - 56*r + 40 = 0?
-10, -2, 1
Let -j**4/9 + 2*j**3/9 + j**2/3 - 8*j/9 + 4/9 = 0. What is j?
-2, 1, 2
Solve -4*f**3/5 - 236*f**2/5 - 412*f - 980 = 0 for f.
-49, -5
Factor -15*w**2 + 24235*w - 16150.
-5*(w - 1615)*(3*w - 2)
Let -3*n**4/2 + 15*n**3/2 - 15*n**2/2 - 15*n/2 + 9 = 0. What is n?
-1, 1, 2, 3
Find v such that v**3/4 - 2*v**2 - 35*v/4 + 147/2 = 0.
-6, 7
Solve 5*c**3/3 - 13*c**2/3 - 3*c + 3 = 0.
-1, 3/5, 3
Factor 4*k**4/7 - 44*k**3/7 + 20*k**2 - 100*k/7.
4*k*(k - 5)**2*(k - 1)/7
Factor 2*j**2/17 + 6*j/17 - 56/17.
2*(j - 4)*(j + 7)/17
Determine s, given that 3*s**2/10 + 95*s/2 - 159/5 = 0.
-159, 2/3
Find w, given that -10*w**5 + 5*w**4 + 25*w**3 + 10*w**2 = 0.
-1, -1/2, 0, 2
Factor -b**3/3 + 80*b**2/3 - 1397*b/3 + 7018/3.
-(b - 58)*(b - 11)**2/3
Factor 5*f**2 + 550*f.
5*f*(f + 110)
Factor 4*z**3/7 + 40*z**2/7 - 76*z/7 - 160.
4*(z - 5)*(z + 7)*(z + 8)/7
Let -2*s**2 + 38*s + 40 = 0. Calculate s.
-1, 20
Determine t, given that -6*t**3 + 1982*t**2 + 1326*t - 662 = 0.
-1, 1/3, 331
Solve 3*f**4/2 + 119*f**3/6 - 203*f**2/3 - 16*f = 0 for f.
-16, -2/9, 0, 3
Find t, given that -4*t**2/3 + 400*t/3 - 10000/3 = 0.
50
Let -5*z**5/2 - 37*z**4/2 - 59*z**3/2 + 17*z**2/2 + 32*z + 10 = 0. Calculate z.
-5, -2, -1, -2/5, 1
Factor -6*n**3 - 110*n**2 - 36*n.
-2*n*(n + 18)*(3*n + 1)
Factor b**2/2 + 14*b/3 + 65/6.
(b + 5)*(3*b + 13)/6
Solve -35*b**4/4 + 260*b**3 - 835*b**2 - 260*b = 0 for b.
-2/7, 0, 4, 26
Determine u so that 6*u**3/7 + 456*u**2/7 + 1320*u + 8064 = 0.
-48, -14
Suppose -4*j**4 - 4*j**3 + 16*j**2 + 16*j = 0. What is j?
-2, -1, 0, 2
Factor 2*m**3/9 - 1804*m**2/3 + 1627208*m/3 - 1467741616/9.
2*(m - 902)**3/9
Let -3*q**3/5 - 69*q**2/5 - 66*q/5 = 0. Calculate q.
-22, -1, 0
Find f such that -4*f**4 - 28*f**3 + 12*f**2 + 92*f + 56 = 0.
-7, -1, 2
Determine l, given that -6*l**4 - 543*l**3/2 - 135*l**2/2 = 0.
-45, -1/4, 0
Determine i so that 2*i**2/7 + 10*i - 228/7 = 0.
-38, 3
Solve -2*x**5 - 12*x**4 - 24*x**3 - 20*x**2 - 6*x = 0.
-3, -1, 0
Let 210*m**2 - 136*m - 56 = 0. What is m?
-2/7, 14/15
Solve u**4/9 + 43*u**3/9 + 196*u**2/9 + 76*u/3 = 0 for u.
-38, -3, -2, 0
Factor 2*y**3/15 - 46*y**2/15 + 32*y/3 - 152/15.
2*(y - 19)*(y - 2)**2/15
Factor -b**4/5 - 9*b**3/5 - 28*b**2/5 - 36*b/5 - 16/5.
-(b + 1)*(b + 2)**2*(b + 4)/5
Find s such that 2*s**2 - 6*s = 0.
0, 3
Find d, given that 795*d**4 - 2090*d**3 + 715*d**2 + 560*d + 20 = 0.
-1/3, -2/53, 1, 2
Let a**2/8 + 37*a/8 - 39/4 = 0. What is a?
-39, 2
Let 5*j**4 + 10*j**3 - 140*j**2 - 40*j + 480 = 0. Calculate j.
-6, -2, 2, 4
Factor 2*m**2 - 116*m - 240.
2*(m - 60)*(m + 2)
Factor j**4/3 - 20*j**3/3 - 44*j**2/3.
j**2*(j - 22)*(j + 2)/3
Factor 27*z**3 - 36*z**2 - 60*z + 48.
3*(z - 2)*(3*z - 2)*(3*z + 4)
Factor -3*c**4 - 2454*c**3 - 499383*c**2 + 1006140*c - 504300.
-3*(c - 1)**2*(c + 410)**2
Find u, given that 9*u**3 + 3498*u**2 - 4676*u + 1560 = 0.
-390, 2/3
Factor o**5/4 + o**4/2 - 19*o**3/4 + 7*o**2 - 3*o.
o*(o - 2)*(o - 1)**2*(o + 6)/4
Let 4*y**2/7 - 12*y/7 + 8/7 = 0. What is y?
1, 2
Determine r so that -2*r**4/13 + 142*r**3/13 - 276*r**2/13 = 0.
0, 2, 69
Factor 5*s**2 - 285*s + 1060.
5*(s - 53)*(s - 4)
Determine u, given that -3*u**3 - 27*u**2 + 120*u + 144 = 0.
-12, -1, 4
Solve 25*b**4/3 + 2180*b**3/3 + 419*b**2/3 - 1388*b/3 + 116 = 0.
-87, -1, 2/5
Suppose -9*v**5 + 12*v**4 + 3*v**3 - 6*v**2 = 0. Calculate v.
-2/3, 0, 1
Determine w, given that -2*w**5/19 - 24*w**4/19 + 28*w**3/19 + 24*w**2/19 - 26*w/19 = 0.
-13, -1, 0, 1
Find y such that -2*y**4 - 10*y**3 + 6*y**2 + 34*y + 20 = 0.
-5, -1, 2
Factor 5*i**4 + 25*i**3 + 15*i**2 - 25*i - 20.
5*(i - 1)*(i + 1)**2*(i + 4)
Solve 3*c**3/4 - 39*c**2/4 + 9*c/2 + 54 = 0.
-2, 3, 12
Factor -2*y**5/7 + 4*y**4 - 138*y**3/7 + 40*y**2 - 200*y/7.
-2*y*(y - 5)**2*(y - 2)**2/7
Factor -12482*j**2 - 3476*j - 242.
-2*(79*j + 11)**2
Factor -28*k**4 - 120*k**3 - 116*k**2 - 24*k.
-4*k*(k + 1)*(k + 3)*(7*k + 2)
Factor -q**5 + 6*q**4 + 48*q**3 + 74*q**2 + 33*q.
-q*(q - 11)*(q + 1)**2*(q + 3)
Solve 2*a**3/5 - 1826*a**2/5 + 83174*a + 417698/5 = 0.
-1, 457
Determine w so that -3*w**4 - 99*w**3 + 1062*w**2 - 2976*w + 2016 = 0.
-42, 1, 4
What is q in 10*q**5/9 - 46*q**4/9 - 230*q**3/9 - 314*q**2/9 - 172*q/9 - 32/9 = 0?
-1, -2/5, 8
Factor -k**3/8 + k**2 - 19*k/8 + 3/2.
-(k - 4)*(k - 3)*(k - 1)/8
Find h, given that 4*h**2 + 1052*h = 0.
-263, 0
Find m, given that 15*m**5/4 + 85*m**4/4 + 45*m**3/4 - 25*m**2/4 = 0.
-5, -1, 0, 1/3
Factor w**4/2 - 55*w**3/2 + 319*w**2/2 + 807*w/2 + 216.
(w - 48)*(w - 9)*(w + 1)**2/2
Determine k so that -4*k**2/5 + 1108*k/5 + 2232/5 = 0.
-2, 279
Solve -4*n**5/5 - 58*n**4/15 + 62*n**3/3 + 290*n**2/3 - 50*n/3 = 0 for n.
-5, 0, 1/6, 5
Factor -236*p**2/5 - 20524*p/5 + 696/5.
-4*(p + 87)*(59*p - 2)/5
Let 2*p**3 - 4*p**2 - 16*p = 0. Calculate p.
-2, 0, 4
Find s such that s**5/3 - 129*s**4 + 12673*s**3 - 111745*s**2/3 + 36992*s - 12288 = 0.
1, 192
Solve -x**3/5 + 33*x**2/5 = 0 for x.
0, 33
Factor -4*k**4 - 36*k**3 - 32*k**2.
-4*k**2*(k + 1)*(k + 8)
Factor -2*a**2/11 - 11076*a/11 - 15334722/11.
-2*(a + 2769)**2/11
Factor -15*n**4 + 20945*n**3 - 7315040*n**2 + 2436020*n.
-5*n*(n - 698)**2*(3*n - 1)
Let -t**3/3 - 1226*t**2/3 - 378209*t/3 - 