27)/3
Factor -3*t**3 + 15*t**2 + 3*t - 15.
-3*(t - 5)*(t - 1)*(t + 1)
Suppose -2*n**2 - 54*n = 0. Calculate n.
-27, 0
Factor 14*f**3 + 22*f**2 - 222*f + 90.
2*(f - 3)*(f + 5)*(7*f - 3)
Suppose -u**3/5 - 1848*u**2/5 + 7404*u/5 - 7408/5 = 0. What is u?
-1852, 2
What is v in -2*v**4/13 + 150*v**3/13 - 1068*v**2/13 - 75256*v/13 + 76176/13 = 0?
-18, 1, 46
What is i in -i**5/5 - 3*i**4/5 + 11*i**3/5 + 3*i**2/5 - 2*i = 0?
-5, -1, 0, 1, 2
Factor 2*p**2/23 + 12*p/23 - 14/23.
2*(p - 1)*(p + 7)/23
Factor -2*o**5/7 + 38*o**4/7 + 18*o**3 + 130*o**2/7 + 44*o/7.
-2*o*(o - 22)*(o + 1)**3/7
Factor -4*w**2/7 - 9630*w/7 + 688.
-2*(w + 2408)*(2*w - 1)/7
Determine i so that -i**2 - 47*i - 396 = 0.
-36, -11
Factor -h**3 + h**2 + 33*h + 63.
-(h - 7)*(h + 3)**2
Solve 2*q**3/15 + 2*q**2/15 - 4*q/15 = 0.
-2, 0, 1
Determine s, given that 128*s**4 - 160*s**3 - 78*s**2 + 160*s - 50 = 0.
-1, 5/8, 1
Factor -2*w**2/3 + 116*w/3 - 1682/3.
-2*(w - 29)**2/3
Determine l, given that -2*l**4/3 - 2*l**3 + 2*l**2/3 + 2*l = 0.
-3, -1, 0, 1
Find u, given that u**2/4 + 2969*u/2 + 8814961/4 = 0.
-2969
Determine z so that z**4/6 - 7*z**3/6 = 0.
0, 7
Find q such that 2*q**2 - 44*q + 224 = 0.
8, 14
Find i such that 10*i**5 + 286*i**4 - 430*i**3 - 286*i**2 + 420*i = 0.
-30, -1, 0, 1, 7/5
Let 3*q**2/7 + 1980*q/7 + 326700/7 = 0. Calculate q.
-330
Solve -5*v**5 - 280*v**4 - 2665*v**3 + 34330*v**2 - 101760*v + 92160 = 0.
-32, 2, 3
Factor 242*a**4/9 + 308*a**3/9 - 26*a**2/3 - 112*a/9 + 32/9.
2*(a + 1)**2*(11*a - 4)**2/9
What is z in -2*z**4/9 + 758*z**3/9 - 10668*z**2 + 455112*z - 444528 = 0?
1, 126
Determine u, given that -10*u**5/3 + 124*u**4/3 - 46*u**3 - 184*u**2/3 + 88*u/3 = 0.
-1, 0, 2/5, 2, 11
Factor -2*p**3/3 + 436*p**2/3 + 2*p/3 - 436/3.
-2*(p - 218)*(p - 1)*(p + 1)/3
Factor -3*v**4 + 108*v**3 - 270*v**2 - 876*v - 495.
-3*(v - 33)*(v - 5)*(v + 1)**2
Factor -154*w**2/5 + 302*w/5 + 12/5.
-2*(w - 2)*(77*w + 3)/5
Factor -2*o**2/13 - 10996*o/13 - 15114002/13.
-2*(o + 2749)**2/13
Suppose -q**3/4 + 13*q**2/2 + 29*q/4 - 27/2 = 0. What is q?
-2, 1, 27
Factor -z**5/7 + 17*z**4/7 - 8*z**3 + 52*z**2/7.
-z**2*(z - 13)*(z - 2)**2/7
Factor -2*x**2 - 94*x + 196.
-2*(x - 2)*(x + 49)
Factor -3*g**4 + 33*g**3 + 12*g**2 - 132*g.
-3*g*(g - 11)*(g - 2)*(g + 2)
What is q in -3*q**4 - 151*q**3/3 + 196*q**2/3 - 12*q = 0?
-18, 0, 2/9, 1
Determine v, given that -2*v**2/3 + 12*v = 0.
0, 18
What is d in -2*d**4/5 - 96*d**3/5 - 654*d**2/5 + 13552*d/5 + 14112/5 = 0?
-28, -1, 9
Determine o, given that -19*o**4 + 355*o**3/3 + 323*o**2/3 - 103*o/3 - 14/3 = 0.
-1, -2/19, 1/3, 7
Suppose y**5/7 - 16*y**4/7 - y**3/7 + 16*y**2/7 = 0. Calculate y.
-1, 0, 1, 16
Find h such that -h**2/2 - h/2 + 3 = 0.
-3, 2
What is o in -o**2/3 - 20*o/3 + 228 = 0?
-38, 18
Find z such that -4*z**3 + 68*z**2 + 72*z = 0.
-1, 0, 18
What is i in -2*i**5/3 - 34*i**4/9 - 6*i**3 - 14*i**2/9 + 4*i/3 = 0?
-3, -2, -1, 0, 1/3
Suppose -8*h**5/7 + 2*h**4/7 + 54*h**3/7 + 4*h**2/7 - 88*h/7 - 48/7 = 0. Calculate h.
-2, -1, -3/4, 2
Factor 24*p**3/5 + 17223*p**2/5 + 3086682*p/5 - 1159929/5.
3*(p + 359)**2*(8*p - 3)/5
Factor 3*f**4 - 228*f**3 - 1995*f**2 - 1764*f.
3*f*(f - 84)*(f + 1)*(f + 7)
Determine v, given that -3*v**3 + 48*v**2 - 231*v + 294 = 0.
2, 7
Let k**4/5 + 27*k**3/5 + 202*k**2/5 + 432*k/5 + 256/5 = 0. Calculate k.
-16, -8, -2, -1
Determine p so that p**2/6 - 9*p - 57/2 = 0.
-3, 57
Determine g so that 5*g**3 + 130*g**2 + 460*g + 440 = 0.
-22, -2
Factor p**5/2 - 4*p**4 - 9*p**3/2.
p**3*(p - 9)*(p + 1)/2
Determine b, given that -20*b**4 + 285*b**3 - 1130*b**2 + 1065*b - 200 = 0.
1/4, 1, 5, 8
Factor 2*n**4/13 + 102*n**3/13 + 1350*n**2/13 + 1250*n/13.
2*n*(n + 1)*(n + 25)**2/13
What is w in 2*w**2/23 - 28*w + 2254 = 0?
161
What is l in l**5/5 - 9*l**4/5 + 26*l**3/5 - 34*l**2/5 + 21*l/5 - 1 = 0?
1, 5
What is t in 15*t**4/4 + 13*t**3/2 - 11*t**2/4 - 3*t/2 = 0?
-2, -1/3, 0, 3/5
Solve 2*m**3/9 + 122*m**2/9 - 988*m/9 - 272 = 0 for m.
-68, -2, 9
Factor 2*g**2/11 + 420*g/11 + 38.
2*(g + 1)*(g + 209)/11
Let 3*y**5 + 12*y**4 - 93*y**3 + 42*y**2 + 144*y = 0. Calculate y.
-8, -1, 0, 2, 3
Let -405*v**3 + 14085*v**2 + 3145*v + 175 = 0. Calculate v.
-1/9, 35
Let -2*s**4/7 + 16*s**3 + 2*s**2/7 - 16*s = 0. Calculate s.
-1, 0, 1, 56
Find k, given that -157*k**4/9 - 313*k**3/3 - 155*k**2 + 3*k = 0.
-3, 0, 3/157
Factor 2*a**2/9 + 16*a/9 + 14/9.
2*(a + 1)*(a + 7)/9
Suppose 243*h**5 + 1593*h**4 + 3144*h**3 + 1272*h**2 - 1104*h + 144 = 0. Calculate h.
-3, -2, 2/9
Factor -j**4/4 - 31*j**3/2 - 1077*j**2/4 - 899*j - 841.
-(j + 2)**2*(j + 29)**2/4
Factor -4*w**5 - 440*w**4 - 10720*w**3 + 75200*w**2 - 157760*w + 107648.
-4*(w - 2)**3*(w + 58)**2
Let -l**3 - 101*l**2 - 98*l + 200 = 0. Calculate l.
-100, -2, 1
Factor 2*g**4 - 26*g**3 + 126*g**2 - 270*g + 216.
2*(g - 4)*(g - 3)**3
Factor y**5 + 28*y**4 - 270*y**3 + 648*y**2 - 27*y - 972.
(y - 3)**3*(y + 1)*(y + 36)
Factor 2*f**2/3 - 32*f - 1160/3.
2*(f - 58)*(f + 10)/3
Suppose -2*q**4 - 20*q**3 - 56*q**2 - 48*q = 0. Calculate q.
-6, -2, 0
Suppose 5*r**2 - 190*r + 185 = 0. What is r?
1, 37
Find a such that 5*a**4 - 35*a**3 + 70*a**2 - 40*a = 0.
0, 1, 2, 4
Determine f, given that -2*f**3/3 + 46*f**2 - 90*f + 134/3 = 0.
1, 67
Find p, given that 125*p**4 - 740*p**3 + 315*p**2 + 1280*p + 100 = 0.
-1, -2/25, 2, 5
Let f**2 + 113*f - 230 = 0. What is f?
-115, 2
Solve -2*j**4/5 - 658*j**3/5 + 662*j**2/5 + 658*j/5 - 132 = 0 for j.
-330, -1, 1
Solve -2*t**3/3 + 24*t**2 - 288*t + 1152 = 0 for t.
12
Find w, given that 500*w**3/3 - 14200*w**2 + 403280*w - 11453152/3 = 0.
142/5
Find x, given that 10*x**5 - 136*x**4 + 634*x**3 - 1124*x**2 + 440*x + 400 = 0.
-2/5, 2, 5
Factor -2*c**2 - 8*c + 24.
-2*(c - 2)*(c + 6)
Suppose -r**2/4 - 23*r/2 + 147/4 = 0. Calculate r.
-49, 3
Find f such that -2601*f**3/4 - 8823*f**2/4 - 790*f - 75 = 0.
-3, -10/51
Find a such that a**3/5 + 68*a**2/5 - 73*a = 0.
-73, 0, 5
Suppose -13*l**4 + 388*l**3 - 1331*l**2 + 800*l + 156 = 0. Calculate l.
-2/13, 1, 3, 26
Find n, given that 5*n**3 - 180*n**2 + 340*n = 0.
0, 2, 34
Determine j, given that 3*j**4 + 42*j**3 = 0.
-14, 0
Factor 4*x**4 - 24*x**3 - 32*x**2 + 24*x + 28.
4*(x - 7)*(x - 1)*(x + 1)**2
Determine z, given that -2*z**2/13 - 348*z = 0.
-2262, 0
Determine a, given that -a**3/2 + 17*a**2 - 93*a/2 = 0.
0, 3, 31
Suppose -y**2 + 10*y - 25 = 0. What is y?
5
Suppose -2*i**2/5 + 1004*i - 630010 = 0. What is i?
1255
Determine g so that -g**3/8 + g**2/4 + g/8 - 1/4 = 0.
-1, 1, 2
Solve 2*w**5/5 - 2*w**4 - 18*w**3/5 + 34*w**2/5 + 16*w/5 - 24/5 = 0 for w.
-2, -1, 1, 6
Let 2*f**3/9 + 14*f**2/9 - 32*f/3 - 40 = 0. Calculate f.
-10, -3, 6
Find m, given that 4*m**5/3 - 24*m**4 - 60*m**3 + 376*m**2/3 + 160*m = 0.
-3, -1, 0, 2, 20
Determine p, given that 4*p**3 - 20*p**2 + 16*p = 0.
0, 1, 4
Factor -4*a**2/5 - 108*a/5 + 112/5.
-4*(a - 1)*(a + 28)/5
Factor -h**3/5 - 1818*h**2/5 - 1101708*h/5 - 222545016/5.
-(h + 606)**3/5
Find x such that -x**3 + 8*x**2 + 9*x = 0.
-1, 0, 9
Find g, given that -2*g**3/3 + 22*g**2/3 - 16*g = 0.
0, 3, 8
Factor f**4/5 - 26*f**3/5 - 123*f**2/5 + 72*f/5 + 108.
(f - 30)*(f - 2)*(f + 3)**2/5
Factor -c**4 - 30*c**3 + c**2 + 30*c.
-c*(c - 1)*(c + 1)*(c + 30)
Determine a, given that -4*a**4 - 52*a**3 + 60*a**2 + 52*a - 56 = 0.
-14, -1, 1
Determine k so that -k**5 + 35*k**4 + 4*k**3 - 140*k**2 = 0.
-2, 0, 2, 35
Find b, given that 3*b**3/8 + 3*b**2/2 - 57*b/2 - 60 = 0.
-10, -2, 8
Find b such that 28*b**4 - 80*b**3 - 176*b**2 + 192*b = 0.
-2, 0, 6/7, 4
Solve -r**5/7 + 135*r**4/7 - 1406*r**3/7 + 5272*r**2/7 - 7968*r/7 + 3968/7 = 0.
1, 2, 4, 124
Let -5*f**2 - 1280*f + 2580 = 0. Calculate f.
-258, 2
Let -2*r**4 + 270*r**3 - 798*r**2 + 794*r - 264 = 0. Calculate r.
1, 132
Factor -5*r**2 + 765*r - 760.
-5*(r - 152)*(r - 1)
Determine s so that 4*s**2 + 76*s - 2040 = 0.
-34, 15
Factor q**2 + 5*q - 50.
(q - 5)*(q + 10)
Factor -x**2/4 - 8*x + 369/4.
-(x - 9)*(x + 41)/4
Factor -5*q**2 - 85*q + 420.
-5*(q - 4)*(q + 21)
Factor 4*s**4/7 + 3432*s**3/7 - 10320*s**2/7 + 10328*s/7 - 492.
4*(s - 1)**3*(s + 861)/7
Suppose a**3/6 + 17*a**2/6 + 40*a/3 + 32/3 = 0. Calculate a.
-8, -1
Find t, given that -77*t**3 + 845*t**2/3 - 476*t/3 + 20 = 0.
2/11, 10/21, 3
Factor -i**5 + 9*i**4 - 30*i**3 + 44*i**2 - 24*i.
-i*(i - 3)*(i - 2)**3
Suppose m**5 + 4*m**4 + m**3 - 10*m**2 - 4*m + 8 = 0. Calculat