 What is c?
-32, 1, 2, 4
What is b in b**2/3 + 26*b + 77/3 = 0?
-77, -1
Let -3*j**4 + 51*j**3 - 315*j**2 + 825*j - 750 = 0. What is j?
2, 5
Let -50*k**5 - 10*k**4 + 92*k**3 + 28*k**2 - 42*k - 18 = 0. What is k?
-1, -3/5, 1
Factor -20*y**3 + 192*y**2 - 340*y - 168.
-4*(y - 7)*(y - 3)*(5*y + 2)
Factor 3*r**2/5 + 63*r/5 - 162.
3*(r - 9)*(r + 30)/5
Find w such that -4*w**2/3 - 72*w - 972 = 0.
-27
Factor -g**4/3 + 2*g**3/3 + 13*g**2 + 68*g/3 + 32/3.
-(g - 8)*(g + 1)**2*(g + 4)/3
Factor -33*l**2 + 123*l + 36.
-3*(l - 4)*(11*l + 3)
Suppose 6*q**5/7 - 38*q**4/7 + 188*q**3/21 + 4*q**2/21 - 26*q/7 - 6/7 = 0. Calculate q.
-1/3, 1, 3
Let 5*c**5 + 15*c**4 - 45*c**3 + 25*c**2 = 0. What is c?
-5, 0, 1
Factor -3*a**3 + 1404*a**2 + 2817*a + 1410.
-3*(a - 470)*(a + 1)**2
Find c, given that c**4/9 + 8*c**3 - 305*c**2/9 - 8*c + 304/9 = 0.
-76, -1, 1, 4
Factor -2*z**4 - 84*z**3 - 162*z**2 - 80*z.
-2*z*(z + 1)**2*(z + 40)
Find k, given that -2*k**3/11 - 46*k**2/11 - 4*k = 0.
-22, -1, 0
Factor -j**4 - 3*j**3 + 18*j**2.
-j**2*(j - 3)*(j + 6)
Solve -b**2 + 816*b - 166464 = 0 for b.
408
Factor 3*b**4 - 675*b**3 + 2007*b**2 - 2001*b + 666.
3*(b - 222)*(b - 1)**3
Factor 2*v**4 - 22*v**3 - 26*v**2 + 22*v + 24.
2*(v - 12)*(v - 1)*(v + 1)**2
Determine c so that -10*c**3 - 285*c**2 + 150*c + 145 = 0.
-29, -1/2, 1
Factor -g**3/2 + 25*g**2/2 + 27*g.
-g*(g - 27)*(g + 2)/2
Find u, given that u**2/10 - 611*u/10 - 306/5 = 0.
-1, 612
Find r, given that r**5/5 + 201*r**4/5 - 612*r**3/5 + 4*r**2/5 + 816*r/5 = 0.
-204, -1, 0, 2
Suppose 6*b**5/5 - 33*b**4/5 + 12*b**3/5 + 3*b**2 = 0. What is b?
-1/2, 0, 1, 5
Factor -25*o**2 + 95*o + 20.
-5*(o - 4)*(5*o + 1)
Let -13*y**3 - 37*y**2 - 20*y + 4 = 0. What is y?
-2, -1, 2/13
Determine v so that v**2/4 - 19*v/2 - 39/4 = 0.
-1, 39
Factor 6*s**2/7 + 162*s/7 + 156.
6*(s + 13)*(s + 14)/7
Factor -2*z**5/7 - 4*z**4/7 + 6*z**3/7 + 8*z**2/7 - 8*z/7.
-2*z*(z - 1)**2*(z + 2)**2/7
Let -2*w**5 + 588*w**4 - 57624*w**3 + 1882384*w**2 = 0. What is w?
0, 98
Factor -272*u**3 - 800*u**2 - 564*u + 36.
-4*(2*u + 3)**2*(17*u - 1)
Determine c so that 16*c**4 + 128*c**3 - 300*c**2 + 196*c - 40 = 0.
-10, 1/2, 1
Factor 5*v**2/4 + 35*v.
5*v*(v + 28)/4
Factor -5*m**4 - 10*m**3 + 5*m**2 + 10*m.
-5*m*(m - 1)*(m + 1)*(m + 2)
Factor -x**4 + 6*x**3 - 9*x**2 + 4*x.
-x*(x - 4)*(x - 1)**2
Determine i so that -604*i**5/7 - 596*i**4/7 + 612*i**3/7 + 596*i**2/7 - 8*i/7 = 0.
-1, 0, 2/151, 1
What is b in b**2/6 - 15*b/2 = 0?
0, 45
Factor -5*r**3/2 + 7*r**2/2 - r.
-r*(r - 1)*(5*r - 2)/2
Factor 4*t**4/7 - 4*t**3 - 40*t**2/7 + 64*t/7.
4*t*(t - 8)*(t - 1)*(t + 2)/7
What is j in 5*j**4 - 65*j**3 + 55*j**2 + 65*j - 60 = 0?
-1, 1, 12
Solve 3*p**4 + 285*p**3/2 + 6309*p**2/4 - 22785*p/8 - 7203/4 = 0 for p.
-49/2, -1/2, 2
Factor -2*p**3/7 - 10*p**2/7 + 114*p/7 - 198/7.
-2*(p - 3)**2*(p + 11)/7
Factor t**2/4 - 1091*t/4 + 545/2.
(t - 1090)*(t - 1)/4
Factor -3*t**2/2 - 10740*t - 19224600.
-3*(t + 3580)**2/2
Suppose -2*q**3/23 + 2*q**2/23 = 0. Calculate q.
0, 1
Let -3*a**5 + 18*a**4 - 6*a**3 - 48*a**2 + 9*a + 30 = 0. Calculate a.
-1, 1, 2, 5
Suppose -585*n**5/7 + 14477*n**4/7 - 79959*n**3/7 - 119929*n**2/7 - 25584*n/7 - 676/7 = 0. What is n?
-1, -2/9, -2/65, 13
Determine n so that 6*n**5 - 7*n**4 - 4*n**3 + 7*n**2 - 2*n = 0.
-1, 0, 1/2, 2/3, 1
Factor 5*w**3 + 5*w**2.
5*w**2*(w + 1)
Solve d**4/5 + 57*d**3/10 + 531*d**2/10 + 152*d - 90 = 0.
-10, -9, 1/2
Factor -g**3/3 + 5*g**2/3 + 25*g/3 - 125/3.
-(g - 5)**2*(g + 5)/3
Factor 2*o**3 + 276*o**2 + 274*o.
2*o*(o + 1)*(o + 137)
Suppose -5*c**5 - 10*c**4 + 30*c**3 + 40*c**2 - 25*c - 30 = 0. Calculate c.
-3, -1, 1, 2
Solve -5*p**5/3 - 85*p**4/3 - 395*p**3/3 - 105*p**2 = 0 for p.
-9, -7, -1, 0
Factor 3*q**4/7 + 351*q**3/7 + 13689*q**2/7 + 177957*q/7.
3*q*(q + 39)**3/7
Let -5*k**2 + 235*k = 0. What is k?
0, 47
Let -3*g**3/5 - 21*g**2/5 + 84*g + 180 = 0. What is g?
-15, -2, 10
Let -4*n**3 + 24*n**2 + 36*n - 56 = 0. What is n?
-2, 1, 7
Suppose 2*w**5/3 + 106*w**4/3 + 256*w**3 + 2224*w**2/3 + 2912*w/3 + 480 = 0. Calculate w.
-45, -2
Factor -r**4/3 + 22*r**3/3.
-r**3*(r - 22)/3
Factor -14*i**3/3 + 41*i**2/6 + 14*i/3 + 2/3.
-(i - 2)*(4*i + 1)*(7*i + 2)/6
Factor w**2/5 - 8*w - 84/5.
(w - 42)*(w + 2)/5
Determine q, given that -q**2/2 - 25*q/2 + 42 = 0.
-28, 3
Factor 5*v**4 - 290*v**3 + 5700*v**2 - 39710*v + 34295.
5*(v - 19)**3*(v - 1)
Factor 5*c**3/6 - 28*c**2/3 + 101*c/6 - 3.
(c - 9)*(c - 2)*(5*c - 1)/6
Factor 7*x**3/3 + 116*x**2 - 457*x/3 + 34.
(x - 1)*(x + 51)*(7*x - 2)/3
Factor -3*i**2 + 1140*i + 1143.
-3*(i - 381)*(i + 1)
Factor 2*r**2/7 - 72*r/7 - 86.
2*(r - 43)*(r + 7)/7
Let 7*l**3/3 - 40*l**2/3 - 4*l = 0. What is l?
-2/7, 0, 6
Factor -3*q**5 - 570*q**4 + 2310*q**3 - 3480*q**2 + 2325*q - 582.
-3*(q - 1)**4*(q + 194)
Factor -k**3/3 + 31*k/3 - 10.
-(k - 5)*(k - 1)*(k + 6)/3
Let -q**4 - 243*q**3 - 961*q**2 - 1197*q - 478 = 0. Calculate q.
-239, -2, -1
Factor -r**3/3 - 56*r**2/3 - 35*r + 54.
-(r - 1)*(r + 3)*(r + 54)/3
Factor 2*x**2/11 + 6*x/11 + 4/11.
2*(x + 1)*(x + 2)/11
Find z such that -2*z**3 + 7*z**2 - 7*z + 2 = 0.
1/2, 1, 2
Solve -2*d**3 - 8*d**2/7 + 58*d/7 - 36/7 = 0 for d.
-18/7, 1
Find x such that -5*x**4 + 1330*x**3 - 87105*x**2 - 178220*x - 89780 = 0.
-1, 134
What is w in w**2/4 - 3*w/4 - 299/2 = 0?
-23, 26
Factor v**5/2 - 11*v**3/2 + 9*v**2 - 4*v.
v*(v - 2)*(v - 1)**2*(v + 4)/2
Find r such that -3*r**5 + 6*r**4 + 3*r**3 - 6*r**2 = 0.
-1, 0, 1, 2
Find g, given that 3*g**3/2 - 153*g**2/2 + 660*g = 0.
0, 11, 40
Factor -4*a**2 + 152*a - 420.
-4*(a - 35)*(a - 3)
Solve z**4/5 - 3*z**3/5 + z**2/5 + 3*z/5 - 2/5 = 0 for z.
-1, 1, 2
Factor 5*a**3 + 55*a**2.
5*a**2*(a + 11)
Let 5*g**2 - 45 = 0. What is g?
-3, 3
Determine y, given that -y**2/2 + 203*y/2 - 101 = 0.
1, 202
Factor -25*r**4 + 15*r**3 + 759*r**2 + 301*r + 30.
-(r - 6)*(r + 5)*(5*r + 1)**2
Factor 4*f**4 - 8*f**3 - 48*f**2 + 160*f - 128.
4*(f - 2)**3*(f + 4)
Factor -c**3/4 - 11*c**2/4 + 3*c.
-c*(c - 1)*(c + 12)/4
Factor 512*f**2/11 + 192*f/11 + 18/11.
2*(16*f + 3)**2/11
Factor 2*i**2 + 66*i + 180.
2*(i + 3)*(i + 30)
Suppose 2*g**3 - 2*g = 0. Calculate g.
-1, 0, 1
Find v, given that -109*v**4/5 - 66*v**3 - 227*v**2/5 - 6*v/5 = 0.
-2, -1, -3/109, 0
Factor -b**4/8 - 9*b**3/8 + b**2/8 + 9*b/8.
-b*(b - 1)*(b + 1)*(b + 9)/8
Determine j so that -4*j**4/3 - 3368*j**3 = 0.
-2526, 0
Factor 2*n**2 + 4*n + 2.
2*(n + 1)**2
Factor -3*v**4 - 24*v**3 - 33*v**2 + 60*v.
-3*v*(v - 1)*(v + 4)*(v + 5)
What is i in -64*i**3 - 324*i**2 + 364*i + 24 = 0?
-6, -1/16, 1
Let 5*k**3 + 15*k**2 - 65*k - 75 = 0. What is k?
-5, -1, 3
Let -39*m**4 - 510*m**3 - 507*m**2 - 36*m = 0. Calculate m.
-12, -1, -1/13, 0
Factor -10*k**2/13 - 136*k/13 - 192/13.
-2*(k + 12)*(5*k + 8)/13
Let -3*q**2 - 8*q/3 + 1/3 = 0. What is q?
-1, 1/9
Factor -5*a**2 - 85*a.
-5*a*(a + 17)
Suppose -2*n**3 - 32*n**2 + 198*n - 252 = 0. Calculate n.
-21, 2, 3
Find k, given that k**5/6 + 2*k**4 + 9*k**3/2 = 0.
-9, -3, 0
Solve -c**3/2 + 15*c**2/2 + 9*c - 16 = 0 for c.
-2, 1, 16
Factor -h**4/3 - 8*h**3/3 + 37*h**2/3 + 44*h/3.
-h*(h - 4)*(h + 1)*(h + 11)/3
Suppose -5*w**3 + 1640*w**2 + 6620*w + 6640 = 0. Calculate w.
-2, 332
Factor -4*k**4 - 20*k**3 - 12*k**2 + 20*k + 16.
-4*(k - 1)*(k + 1)**2*(k + 4)
What is d in -2*d**3/7 = 0?
0
Find p, given that -p**3/5 - 109*p**2/5 + 184*p - 1872/5 = 0.
-117, 4
Let -3*i**4 - 2793*i**3 - 867690*i**2 - 90237900*i - 89373000 = 0. Calculate i.
-310, -1
Determine d, given that -d**5 + 518*d**4 - 70129*d**3 + 792460*d**2 - 3104816*d + 4096576 = 0.
4, 253
Find t, given that 4*t**5 + 30*t**4 + 48*t**3 - 32*t**2 = 0.
-4, 0, 1/2
Factor -2*m**2/5 + 76*m/5.
-2*m*(m - 38)/5
Factor -x**2/5 + 19*x/5 - 34/5.
-(x - 17)*(x - 2)/5
Factor -b**3/4 - 43*b**2/2 - 391*b + 3174.
-(b - 6)*(b + 46)**2/4
Find z such that -2*z**2/11 + 9756*z/11 - 11897442/11 = 0.
2439
Factor -q**3/6 + q**2/3 + 4*q/3.
-q*(q - 4)*(q + 2)/6
Factor -c**4/4 - 3*c**3/4 + 9*c**2/2 - c - 6.
-(c - 2)**2*(c + 1)*(c + 6)/4
Factor 4*h**2/7 + 44*h/7.
4*h*(h + 11)/7
Find x such that -119*x**2/3 + 109*x/3 - 2 = 0.
1/17, 6/7
Determine a so that 2*a**3/5 + 74*a**2/5 + 68*a/5 - 144/5 = 0.
-36, -2, 1
Suppose -2*a**3 + 9*a**2 + 6*a - 5 = 0. Calculate a.
-1, 1/2, 5
Factor -3*f**3 - 177*f**2 + 180*f.
-3*f*(f - 1)*(f + 60)
Factor 2*d**2 + 4*d - 96.
2*(d - 6)*(d + 8)
Let -5*o**5 + 25*o**3 - 20*