 4, 51
Factor -3*x**2 - 279*x + 570.
-3*(x - 2)*(x + 95)
Let -5*a**2 - 30*a - 40 = 0. What is a?
-4, -2
Factor z**4/2 + 113*z**3/2 + 1508*z**2 - 5046*z.
z*(z - 3)*(z + 58)**2/2
Suppose -4*d**3 + 184*d**2 - 516*d = 0. Calculate d.
0, 3, 43
Factor 2*v**3/7 - 10*v**2/7 - 44*v/7 + 16.
2*(v - 7)*(v - 2)*(v + 4)/7
Find t, given that 5*t**5 + 890*t**4 - 1820*t**3 - 3590*t**2 + 1815*t + 2700 = 0.
-180, -1, 1, 3
Let 5*m**2 + 85*m = 0. What is m?
-17, 0
Solve -b**4/2 - 9*b**3/2 - 17*b**2/2 + 33*b/2 + 45 = 0 for b.
-5, -3, 2
Factor 4*l**4/3 - 50*l**3/3 - 26*l**2/3.
2*l**2*(l - 13)*(2*l + 1)/3
Let 34*u**2/3 + 64*u/9 = 0. What is u?
-32/51, 0
Let x**2 + 24*x = 0. Calculate x.
-24, 0
Factor 4*q**4 + 120*q**3 + 1332*q**2 + 6480*q + 11664.
4*(q + 6)**2*(q + 9)**2
Factor b**2 + 70*b + 69.
(b + 1)*(b + 69)
Let 3*t**5/2 + 30*t**4 + 192*t**3 + 537*t**2 + 1341*t/2 + 297 = 0. What is t?
-11, -3, -2, -1
Let l**5/2 + 3*l**4/2 - l**3 - 6*l**2 - 4*l = 0. What is l?
-2, -1, 0, 2
Suppose -3*q**5 + 60*q**4 - 372*q**3 + 462*q**2 + 1911*q - 2058 = 0. Calculate q.
-2, 1, 7
Solve -5*r**4/3 - 8*r**3/3 + 23*r**2 - 76*r/3 + 20/3 = 0 for r.
-5, 2/5, 1, 2
Suppose -2*m**4/13 - 48*m**3/13 - 216*m**2/13 = 0. What is m?
-18, -6, 0
Factor 4*k**4 - 6484*k**3 + 2637340*k**2 - 7853772*k.
4*k*(k - 809)**2*(k - 3)
Solve 5*q**3 - 15*q**2 + 10*q = 0.
0, 1, 2
What is s in -5*s**2 + 3395*s + 3400 = 0?
-1, 680
Find r, given that 5*r**3 - 75*r**2 + 375*r - 625 = 0.
5
Find i, given that -7542728*i**2/11 + 7768*i/11 - 2/11 = 0.
1/1942
Determine w, given that 2*w**3/11 + 70*w**2/11 - 148*w/11 = 0.
-37, 0, 2
Suppose -n**2 + 2567*n + 2568 = 0. Calculate n.
-1, 2568
Let -z**2 - 51*z - 50 = 0. Calculate z.
-50, -1
Let -u**2/5 - 242*u/5 - 14641/5 = 0. Calculate u.
-121
Factor 12*w**3 - 273*w**2 + 651*w + 180.
3*(w - 20)*(w - 3)*(4*w + 1)
Find c, given that -4*c**3 + 7312*c**2 - 3334260*c - 6697800 = 0.
-2, 915
Let -o**3/4 - 391*o**2/4 - 37627*o/4 + 116427/4 = 0. What is o?
-197, 3
Determine a so that a**4/5 - 2*a**3 - 60*a**2 - 350*a - 625 = 0.
-5, 25
Determine o, given that -o**2 + 35*o/3 + 4 = 0.
-1/3, 12
Factor -5*h**4/3 - 5*h**3/3 + 15*h**2 + 15*h.
-5*h*(h - 3)*(h + 1)*(h + 3)/3
Factor -4*c**4 + 16*c**3 + 64*c**2 - 256*c.
-4*c*(c - 4)**2*(c + 4)
Factor 4*h**4 - 52*h**3 + 208*h**2 - 240*h.
4*h*(h - 6)*(h - 5)*(h - 2)
Solve 2*w**5/7 - 40*w**4/7 + 190*w**3/7 - 320*w**2/7 + 24*w = 0.
0, 1, 2, 3, 14
Factor i**3/2 + i**2/2 - i/2 - 1/2.
(i - 1)*(i + 1)**2/2
Factor 2*a**2/11 + 2*a/11 - 112/11.
2*(a - 7)*(a + 8)/11
Solve -2*i**3/7 + 20*i**2/7 + 22*i/7 = 0 for i.
-1, 0, 11
Factor 3*f**2/4 - 213*f + 15123.
3*(f - 142)**2/4
Find g such that -g**4 + 160*g**3 + 817*g**2 + 1316*g + 660 = 0.
-2, -1, 165
Determine g so that 2*g**5 - 22*g**4/9 + 4*g**3/9 = 0.
0, 2/9, 1
Factor -n**4 - 536*n**3 + n**2 + 536*n.
-n*(n - 1)*(n + 1)*(n + 536)
Factor -l**4/2 - 4*l**3 - 23*l**2/2 - 14*l - 6.
-(l + 1)*(l + 2)**2*(l + 3)/2
Find c such that -3*c**2 - 90*c - 375 = 0.
-25, -5
Factor -x**4/3 - 152*x**3/3 - 1975*x**2 - 3750*x.
-x*(x + 2)*(x + 75)**2/3
Factor -7*f**3 + 9*f**2 + 1560*f/7 + 400.
-(f - 7)*(7*f + 20)**2/7
Find p, given that 2*p**2/3 + 46*p/3 + 152/3 = 0.
-19, -4
Suppose 20*u**5 - 479*u**4 - 45*u**3 + 503*u**2 + 25*u - 24 = 0. What is u?
-1, -1/4, 1/5, 1, 24
Determine p, given that -2*p**2 - 22*p + 24 = 0.
-12, 1
Determine m so that 5*m**4/3 - 355*m**3/3 + 1525*m**2 - 21625*m/3 + 35000/3 = 0.
5, 56
Factor -m**4/6 - 92*m**3/3 - 4232*m**2/3.
-m**2*(m + 92)**2/6
Factor 3*g**2/2 - 78*g + 288.
3*(g - 48)*(g - 4)/2
Let 3*t**3 - 24*t**2 - 3*t + 24 = 0. What is t?
-1, 1, 8
Solve 2*l**3 - 12*l**2 - 104*l + 240 = 0 for l.
-6, 2, 10
Factor -12*t**3 - 71*t**2 + 90*t - 7.
-(t - 1)*(t + 7)*(12*t - 1)
Factor 9*w**5/5 - 77*w**4/5 + 184*w**3/5 - 16*w**2.
w**2*(w - 4)**2*(9*w - 5)/5
Determine b, given that -b**5/4 + 7*b**4/2 - 13*b**3 + 13*b**2/2 + 53*b/4 - 10 = 0.
-1, 1, 5, 8
Factor -4*r**4 + 32*r**3 - 20*r**2 - 56*r.
-4*r*(r - 7)*(r - 2)*(r + 1)
Find h such that 5*h**2 + 6200*h + 1922000 = 0.
-620
Suppose c**3/4 + 3*c**2 + 29*c/4 + 9/2 = 0. What is c?
-9, -2, -1
Factor l**4/5 + 19*l**3/5 + 92*l**2/5 + 16*l - 192/5.
(l - 1)*(l + 4)**2*(l + 12)/5
Find t, given that 2*t**4/5 + 14*t**3/5 + 2*t**2 - 14*t/5 - 12/5 = 0.
-6, -1, 1
Factor 2*a**5 - 62*a**4 + 228*a**3 - 332*a**2 + 218*a - 54.
2*(a - 27)*(a - 1)**4
Factor -l**3 - 23*l**2/2 + 27*l/2 + 90.
-(l - 3)*(l + 12)*(2*l + 5)/2
Factor -k**2/2 - 143*k - 285/2.
-(k + 1)*(k + 285)/2
Suppose 4*i**2 - 1324*i + 1320 = 0. What is i?
1, 330
Suppose 2*q**2 + 798*q + 796 = 0. Calculate q.
-398, -1
Factor 4*h**3 + 136*h**2 - 140*h.
4*h*(h - 1)*(h + 35)
Determine b so that 3*b**4 + 9*b**3 + 3*b**2 - 9*b - 6 = 0.
-2, -1, 1
Factor 5*j**3 - 110*j**2 - 2215*j - 2100.
5*(j - 35)*(j + 1)*(j + 12)
Factor -4*m**4/7 - 64*m**3/7 + 304*m**2/7 - 320*m/7.
-4*m*(m - 2)**2*(m + 20)/7
Suppose 2*j**5/9 - 26*j**4/9 + 62*j**3/9 - 14*j**2/9 - 64*j/9 + 40/9 = 0. Calculate j.
-1, 1, 2, 10
Suppose -o**3/2 - 23*o**2 - 89*o/2 - 22 = 0. Calculate o.
-44, -1
Factor 2*g**3/19 - 22*g**2/19 + 16*g/19 + 40/19.
2*(g - 10)*(g - 2)*(g + 1)/19
Determine r so that -r**3/5 - r**2/5 + 9*r/5 + 9/5 = 0.
-3, -1, 3
Factor -3*h**4 - 852*h**3 - 90738*h**2 - 4294932*h - 76235043.
-3*(h + 71)**4
Solve -3*m**4 - 18*m**3 - 3*m**2 + 72*m + 60 = 0.
-5, -2, -1, 2
Factor -2*q**3/19 + 8*q**2/19 - 10*q/19 + 4/19.
-2*(q - 2)*(q - 1)**2/19
Factor 3*k**2 + 873*k + 7614.
3*(k + 9)*(k + 282)
Suppose 21*o**4 - 146*o**3 + 229*o**2 - 124*o + 20 = 0. What is o?
2/7, 2/3, 1, 5
Solve 2*w**4/11 + 774*w**3/11 + 278*w**2 - 2334*w/11 - 13788/11 = 0.
-383, -3, 2
Suppose q**2/5 - 3438*q/5 + 2954961/5 = 0. Calculate q.
1719
Suppose 5*q**5 + 120*q**4 + 745*q**3 + 1770*q**2 + 1440*q = 0. What is q?
-16, -3, -2, 0
Determine c so that 4*c**3 - 100*c**2 - 352*c + 448 = 0.
-4, 1, 28
Find q such that -4*q**4 + 8*q**3 + 76*q**2 - 80*q = 0.
-4, 0, 1, 5
Factor 3*w**2/2 + 14493*w + 70015683/2.
3*(w + 4831)**2/2
Determine v so that 3*v**2 + 261*v + 258 = 0.
-86, -1
Find v, given that 2*v**3/3 + 16*v**2/3 + 6*v - 12 = 0.
-6, -3, 1
Determine u, given that 5*u**2 - 45*u - 50 = 0.
-1, 10
Determine c, given that 2*c**5 - 142*c**4 + 2448*c**3 + 2592*c**2 = 0.
-1, 0, 36
Factor -98*q**3/9 - 680*q**2/9 + 14*q/3.
-2*q*(q + 7)*(49*q - 3)/9
Find s such that -2*s**3/5 + 196*s**2/5 - 1098*s + 6480 = 0.
8, 45
Find s such that -s**4/8 - 7*s**3/8 - s**2/2 + 3*s/2 = 0.
-6, -2, 0, 1
Suppose -4*z**4/5 + 508*z**3/5 - 996*z**2/5 - 508*z/5 + 200 = 0. Calculate z.
-1, 1, 2, 125
Factor 2*w**3 + 528*w**2/7 + 1318*w/7 - 60.
2*(w + 3)*(w + 35)*(7*w - 2)/7
Factor -y**3 + 37*y**2 - 136*y + 132.
-(y - 33)*(y - 2)**2
Factor -5*c**5 - 25*c**4 - 45*c**3 - 35*c**2 - 10*c.
-5*c*(c + 1)**3*(c + 2)
Factor b**2/7 - 8*b/7 - 9/7.
(b - 9)*(b + 1)/7
Factor 3*b**3/8 + 21*b**2/8 + 45*b/8 + 27/8.
3*(b + 1)*(b + 3)**2/8
Find g such that -2*g**2 - 2488*g - 773768 = 0.
-622
Solve -16*b**4/3 - 472*b**3/3 - 227*b**2 - 253*b/3 - 28/3 = 0 for b.
-28, -1, -1/4
Find l such that -20*l**2 + 8*l = 0.
0, 2/5
Factor 5*j**2/2 + 460*j - 930.
5*(j - 2)*(j + 186)/2
Factor -n**2/3 + 58*n/3 + 680/3.
-(n - 68)*(n + 10)/3
Solve b**5/2 + b**4 - 35*b**3/2 - 80*b**2 - 118*b - 56 = 0 for b.
-4, -2, -1, 7
Suppose -2*p**3/7 - 8*p**2 + 888*p/7 - 2880/7 = 0. Calculate p.
-40, 6
Factor 3*b**4 - 18*b**3 - 45*b**2 + 300*b.
3*b*(b - 5)**2*(b + 4)
Factor -2*r**2/5 - 104*r/5 + 66.
-2*(r - 3)*(r + 55)/5
Factor -5*a**4 - 25*a**3 - 15*a**2 + 45*a.
-5*a*(a - 1)*(a + 3)**2
Find c, given that 5*c**3 - 5*c**2 = 0.
0, 1
Find g such that -10*g**5 - 107*g**4/2 + 128*g**3 + 151*g**2/2 - 82*g + 14 = 0.
-7, -1, 1/4, 2/5, 2
Let -6*f**3 - 50*f**2 - 12*f + 32 = 0. What is f?
-8, -1, 2/3
Factor 4*l**5/9 - 16*l**4/9 - 44*l**3/9 - 8*l**2/3.
4*l**2*(l - 6)*(l + 1)**2/9
Factor -4*t**3 + 12*t**2 + 4*t - 12.
-4*(t - 3)*(t - 1)*(t + 1)
Solve 53*y**2/3 - 479*y/3 + 6 = 0 for y.
2/53, 9
Factor -4*x**3 + 228*x**2 + 240*x - 464.
-4*(x - 58)*(x - 1)*(x + 2)
Find l such that 2*l**3/13 - 22*l**2/13 + 4*l - 32/13 = 0.
1, 2, 8
Let -4*w**4 + 40*w**3 - 132*w**2 + 144*w = 0. Calculate w.
0, 3, 4
Determine k so that 2*k**5/11 - 2*k**4/11 - 8*k**3/11 + 8*k**2/11 = 0.
-2, 0, 1, 2
Suppose -2*d**2 + 1956*d - 478242 = 0. What is d?
489
Factor -5*l**5 + 25*l**4 - 35*l**3 + 15*l**2.
-5*l**2*(l - 3)*(l - 1)*