02*a**2 = 0.
0, 34/5
Find i such that i**2/2 + 67*i + 504 = 0.
-126, -8
Factor -102*b**4 + 304*b**3 - 300*b**2 + 96*b + 2.
-2*(b - 1)**3*(51*b + 1)
Let -4*w**3/7 + 8*w**2 + 68*w/7 - 120/7 = 0. Calculate w.
-2, 1, 15
Factor 2*a**4/17 - 2*a**3/17 - 2*a**2 - 30*a/17.
2*a*(a - 5)*(a + 1)*(a + 3)/17
Factor -a**2/4 - 25*a/2 + 159/4.
-(a - 3)*(a + 53)/4
Factor 30*r**3 + 1175*r**2 + 190*r - 195.
5*(r + 39)*(2*r + 1)*(3*r - 1)
Factor 3*o**4/4 - 21*o**3/4 + 45*o**2/4 - 27*o/4.
3*o*(o - 3)**2*(o - 1)/4
Solve 2*f**3/13 + 80*f**2/13 - 2*f/13 - 80/13 = 0.
-40, -1, 1
Find r, given that r**4 - 3*r**3 - 13*r**2 + 51*r - 36 = 0.
-4, 1, 3
Suppose -t**3/2 - 345*t**2/2 + 693*t/2 - 347/2 = 0. What is t?
-347, 1
Suppose -20*d**4/3 - 36*d**3 - 148*d**2/3 + 4*d + 24 = 0. What is d?
-3, -2, -1, 3/5
Determine d, given that -5*d**4 + 55*d**3 - 50*d**2 = 0.
0, 1, 10
Factor -3*l**2/8 - 381*l/4 - 48387/8.
-3*(l + 127)**2/8
What is x in -4*x**5 - 32*x**4 + 176*x**3 + 832*x**2 - 4096*x + 4096 = 0?
-8, 2, 4
Determine x so that -2*x**3/3 + 26*x**2/3 - 44*x/3 = 0.
0, 2, 11
Let 4*t**3/3 - 4*t**2 - 12*t - 20/3 = 0. What is t?
-1, 5
Factor -25*h**4 - 23*h**3 + 302*h**2 - 24*h.
-h*(h - 3)*(h + 4)*(25*h - 2)
Find o such that 2*o**3/5 + 10*o**2 + 94*o/5 + 46/5 = 0.
-23, -1
Determine d so that 2*d**4/15 - 940*d**3/3 + 1226176*d**2/5 - 956404736*d/15 - 1927561216/15 = 0.
-2, 784
Factor y**2/3 + 14*y/3 + 11.
(y + 3)*(y + 11)/3
Solve -3*j**4 + 663*j**3 + 2007*j**2 + 2013*j + 672 = 0.
-1, 224
What is i in -i**2/7 - 109*i/7 - 214/7 = 0?
-107, -2
Factor -i**4/2 + 26*i**3 - 45*i**2/2 - 153*i.
-i*(i - 51)*(i - 3)*(i + 2)/2
Factor -41*w**2 - 61*w - 20.
-(w + 1)*(41*w + 20)
Factor -2*g**2/11 - 1160*g/11 - 168200/11.
-2*(g + 290)**2/11
Suppose -2*o**2/11 + 26*o/11 - 4 = 0. What is o?
2, 11
Factor 5*k**3 + 170*k**2 + 1525*k + 1360.
5*(k + 1)*(k + 16)*(k + 17)
Factor k**3/3 - 15*k**2 - 46*k/3.
k*(k - 46)*(k + 1)/3
What is z in -2*z**2/19 - 56*z/19 - 104/19 = 0?
-26, -2
Factor 29*h**3/6 + 23*h**2/2 + 17*h/2 + 11/6.
(h + 1)**2*(29*h + 11)/6
Factor 5*i**2 - 95*i + 90.
5*(i - 18)*(i - 1)
What is r in -88*r**2/9 - 68*r/9 + 24 = 0?
-2, 27/22
Find z such that z**5/3 + 73*z**4/3 - 232*z**3/3 - 292*z**2/3 + 304*z = 0.
-76, -2, 0, 2, 3
What is a in -2*a**4/3 + 46*a**3/3 - 44*a**2/3 = 0?
0, 1, 22
Solve -2*h**2 + 74*h = 0 for h.
0, 37
Find i, given that 15*i**5 + 33*i**4 - 39*i**3 - 69*i**2 + 48*i + 12 = 0.
-2, -1/5, 1
Let u**5 - 9*u**4 - 166*u**3 - 434*u**2 - 411*u - 133 = 0. Calculate u.
-7, -1, 19
Factor 4*q**4 - 52*q**3 + 24*q**2 + 1408*q - 2560.
4*(q - 8)**2*(q - 2)*(q + 5)
Let -40*q**2 - 1148*q - 784 = 0. Calculate q.
-28, -7/10
Factor -4*s**3/7 - 488*s**2/7.
-4*s**2*(s + 122)/7
Determine i so that 5*i**2/2 - 20*i - 450 = 0.
-10, 18
Factor -l**3 - 65*l**2 - 1023*l + 1089.
-(l - 1)*(l + 33)**2
Factor -8*s**3/7 - 6*s**2/7.
-2*s**2*(4*s + 3)/7
Find a, given that 49*a**4/9 - 469*a**3/9 - 26*a**2 + 244*a/9 - 40/9 = 0.
-1, 2/7, 10
Factor p**2 + 4*p.
p*(p + 4)
Factor -3*m**2 - 300*m - 3825.
-3*(m + 15)*(m + 85)
Find m, given that -2*m**4 + 16*m**3 - 42*m**2 + 44*m - 16 = 0.
1, 2, 4
Let -3*t**3/5 + 828*t**2 - 1424151*t/5 - 2864886/5 = 0. Calculate t.
-2, 691
Factor -169*p**4/11 + 988*p**3/11 - 1366*p**2/11 - 228*p/11 - 9/11.
-(p - 3)**2*(13*p + 1)**2/11
Let -2*j**4 - 19*j**3 - 36*j**2 - 5*j + 14 = 0. What is j?
-7, -2, -1, 1/2
Factor -p**4/4 - 4*p**3 - 37*p**2/2 - 26*p - 45/4.
-(p + 1)**2*(p + 5)*(p + 9)/4
Solve -3*t**5 + 3*t**4 + 39*t**3 - 75*t**2 + 36*t = 0 for t.
-4, 0, 1, 3
Factor 4*o**3 - 52*o**2 + 224*o - 320.
4*(o - 5)*(o - 4)**2
Factor 5*b**4/2 - 40*b**3 + 395*b**2/2 - 210*b - 450.
5*(b - 6)**2*(b - 5)*(b + 1)/2
What is j in j**2 - 359*j - 2562 = 0?
-7, 366
Factor 9604*r**5 + 10290*r**4 + 3920*r**3 + 700*r**2 + 60*r + 2.
2*(2*r + 1)*(7*r + 1)**4
Factor -i**4/4 - 4*i**3 + 3*i**2/4 + 23*i/2 - 8.
-(i - 1)**2*(i + 2)*(i + 16)/4
Factor -m**4/4 - 27*m**3/4 - 193*m**2/4 - 117*m/4 + 169/2.
-(m - 1)*(m + 2)*(m + 13)**2/4
Find q, given that -5*q**2 + 1260*q - 1255 = 0.
1, 251
Let a**3/10 - 31*a**2/5 - 40*a - 272/5 = 0. Calculate a.
-4, -2, 68
Factor -15*b**3 + 2705*b**2 + 2750*b - 5440.
-5*(b - 1)*(b + 2)*(3*b - 544)
Factor -3*v**4 + 48*v**3 - 222*v**2 + 168*v + 441.
-3*(v - 7)**2*(v - 3)*(v + 1)
Solve 35*t**4 - 45*t**3 - 25*t**2 + 45*t - 10 = 0.
-1, 2/7, 1
Let -u**4/2 + 43*u**2/2 - 21*u = 0. Calculate u.
-7, 0, 1, 6
Find p such that -3*p**2 + 36*p + 84 = 0.
-2, 14
Find r, given that -r**2/3 - 34*r/3 = 0.
-34, 0
Let 2*g**3/5 - 3*g**2 - 8*g/5 + 21 = 0. What is g?
-5/2, 3, 7
Determine h, given that 350*h**4 + 1720*h**3 - 2144*h**2 + 800*h - 96 = 0.
-6, 2/7, 2/5
Factor -2*n**4/7 - 2*n**3/7 + 2*n**2/7 + 2*n/7.
-2*n*(n - 1)*(n + 1)**2/7
Let q**4/3 - 52*q**3/3 + 49*q**2/3 + 34*q = 0. Calculate q.
-1, 0, 2, 51
Factor 3*l**2 + 1059*l.
3*l*(l + 353)
Let 2*r**5/5 + 18*r**4/5 - 2*r**3 - 42*r**2 + 368*r/5 - 168/5 = 0. What is r?
-7, -6, 1, 2
Factor k**3/7 - 26*k**2/7 - 1600*k/7 - 14848/7.
(k - 58)*(k + 16)**2/7
Suppose -10*z**3/9 + 82*z**2/9 + 74*z/9 - 2 = 0. What is z?
-1, 1/5, 9
Solve 3*k**2/8 - 14739*k/8 = 0 for k.
0, 4913
Factor 3*b**4 - 15*b**3 + 18*b**2.
3*b**2*(b - 3)*(b - 2)
Factor v**3/2 - 3*v**2 - 8*v.
v*(v - 8)*(v + 2)/2
Let 4*r**5 - 68*r**4/5 - 36*r**3/5 + 164*r**2/5 + 64*r/5 - 48/5 = 0. What is r?
-1, 2/5, 2, 3
Factor v**2 + 30*v + 225.
(v + 15)**2
Suppose 450*k**4 - 13335*k**3 + 20855*k**2 - 7690*k - 280 = 0. Calculate k.
-1/30, 2/3, 1, 28
Factor -4*p**4 + 36*p**3 + 12*p**2 - 116*p + 72.
-4*(p - 9)*(p - 1)**2*(p + 2)
Let -5*y**4/2 + 635*y**3/4 - 310*y**2 + 615*y/4 = 0. Calculate y.
0, 1, 123/2
Factor -k**4 + 57*k**3 + 58*k**2.
-k**2*(k - 58)*(k + 1)
Factor -182*t**2/9 + 368*t/9 - 8/9.
-2*(t - 2)*(91*t - 2)/9
Factor -7*q**3/5 + 5*q**2 + 34*q/5 - 88/5.
-(q - 4)*(q + 2)*(7*q - 11)/5
Let -2*l**3/11 + 10926*l**2/11 - 19896246*l/11 + 12077021322/11 = 0. Calculate l.
1821
Determine n, given that -n**3 - 7*n**2 = 0.
-7, 0
Suppose -2*r**3 - 8*r**2 = 0. What is r?
-4, 0
Let -t**5/7 + t**4 - 3*t**3/7 - 19*t**2/7 + 4*t/7 + 12/7 = 0. Calculate t.
-1, 1, 2, 6
Factor 3*p**3 + 87*p**2 + 438*p - 528.
3*(p - 1)*(p + 8)*(p + 22)
Factor a**5/2 + 9*a**4/2 + 7*a**3/2 - 9*a**2/2 - 4*a.
a*(a - 1)*(a + 1)**2*(a + 8)/2
Factor 4*g**3 + 124*g**2 - 1576*g + 2624.
4*(g - 8)*(g - 2)*(g + 41)
Factor -h**4/4 - h**3/2 + h**2/4 + h/2.
-h*(h - 1)*(h + 1)*(h + 2)/4
Suppose 3*m**2/8 + 9*m/2 + 33/8 = 0. What is m?
-11, -1
Find r such that 240*r**5 + 1176*r**4 + 1647*r**3 + 906*r**2 + 213*r + 18 = 0.
-3, -1, -2/5, -1/4
Find p such that -26*p**5/15 - 74*p**4/15 + 64*p**3/15 + 304*p**2/15 + 32*p/3 - 32/15 = 0.
-2, -1, 2/13, 2
Suppose 2*u**2/23 - 128*u/23 + 2048/23 = 0. What is u?
32
Solve 2*x**2 + 60*x + 162 = 0 for x.
-27, -3
Let -4*j**3 - 48*j**2 = 0. What is j?
-12, 0
Factor -2*j**4/7 + 4*j**3/7 + 118*j**2/7 - 120*j/7 - 1800/7.
-2*(j - 6)**2*(j + 5)**2/7
Suppose -j**3/2 + 71*j**2/2 + 149*j/2 - 219/2 = 0. What is j?
-3, 1, 73
Let -99*s**4 + 204*s**3 - 12*s**2 = 0. What is s?
0, 2/33, 2
Find r, given that 2*r**5/7 - 104*r**4/7 + 920*r**3/7 - 716*r**2/7 - 922*r/7 + 820/7 = 0.
-1, 1, 10, 41
Factor -2*i**3 - 41*i**2 - 19*i + 20.
-(i + 1)*(i + 20)*(2*i - 1)
Factor -g**3/3 + g**2 + 58*g/3 + 40.
-(g - 10)*(g + 3)*(g + 4)/3
Determine m so that m**4/5 - 17*m**3/5 - m**2/5 + 17*m/5 = 0.
-1, 0, 1, 17
Find q, given that -q**3/9 + 97*q**2 + 1168*q/3 + 3508/9 = 0.
-2, 877
Suppose -k**5 - 114*k**4 = 0. Calculate k.
-114, 0
Suppose j**4 - 4*j**3 - 21*j**2 = 0. What is j?
-3, 0, 7
Factor -5*g**2 + 590*g - 17405.
-5*(g - 59)**2
Find r, given that 2*r**4/7 + 22*r**3/7 + 10*r**2 + 50*r/7 = 0.
-5, -1, 0
Suppose -12*y**5/5 + 26*y**4/5 + 8*y**3/5 - 26*y**2/5 + 4*y/5 = 0. Calculate y.
-1, 0, 1/6, 1, 2
Find m, given that 2*m**3/5 + 8*m**2 - 416*m/5 + 896/5 = 0.
-28, 4
Let 3*q**2 + 1125*q + 1122 = 0. What is q?
-374, -1
Let 12*g**5 - 81*g**4/5 - 132*g**3/5 + 69*g**2/5 + 72*g/5 + 12/5 = 0. What is g?
-1, -2/5, -1/4, 1, 2
Find a, given that -a**2/3 - 601*a/3 - 200 = 0.
-600, -1
Find s, given that -213*s**3 + 1695*s**2 - 3336*s - 144 = 0.
-3/71, 4
Factor -r**3/2 + 2*r.
-r*(r - 2)*(r + 2)/2
Let -4*c**5/5 + 3464*c**4/5 - 995296*c**3/5 + 18706624*c**2 + 77237440*c + 78044800 = 0. What is c?
-2, 290
Find s, given that -2*s**4/17 + 18*s**3/17 + 182*s**2/17 - 1818*s/17 + 1620/17 =