*q**2 + 340*q.
4*q*(q + 85)
Suppose 3*l**4/8 - 27*l**3/2 + 399*l**2/8 - 243*l/4 + 24 = 0. What is l?
1, 2, 32
Determine p so that -2*p**5 - 11*p**4 + 24*p**3 + 104*p**2 - 64*p - 240 = 0.
-6, -2, 2, 5/2
Suppose 5*s**4 + 40*s**3 + 55*s**2 - 40*s - 60 = 0. Calculate s.
-6, -2, -1, 1
Factor 3*t**3/2 + 75*t**2 + 2379*t/2 + 6084.
3*(t + 13)**2*(t + 24)/2
Factor -4*q**2/3 - 4952*q.
-4*q*(q + 3714)/3
Find u, given that -10*u**4/9 - 14*u**3/3 + 142*u**2/9 + 70*u/3 + 4 = 0.
-6, -1, -1/5, 3
Factor -4*i**2 - 1088*i - 1084.
-4*(i + 1)*(i + 271)
Factor z**2/3 - 2*z - 9.
(z - 9)*(z + 3)/3
Suppose f**5/2 + 21*f**4 + 40*f**3 - f**2 - 81*f/2 - 20 = 0. What is f?
-40, -1, 1
Factor 81*l**4 + 1332*l**3 + 580*l**2 + 64*l.
l*(l + 16)*(9*l + 2)**2
Let -8*j**4 - 190*j**3 - 592*j**2 + 160*j = 0. What is j?
-20, -4, 0, 1/4
Factor 3*k**2/5 - 198*k/5 + 3267/5.
3*(k - 33)**2/5
Determine c, given that -3*c**4 + 156*c**3 - 2175*c**2 + 3750*c = 0.
0, 2, 25
Factor -n**2/4 + 17*n/4 + 19/2.
-(n - 19)*(n + 2)/4
Factor 4*g**2/3 - 88*g/3 + 484/3.
4*(g - 11)**2/3
Factor -98*h**2 + 100*h - 2.
-2*(h - 1)*(49*h - 1)
Determine t, given that t**3/2 + t**2/2 - t/2 - 1/2 = 0.
-1, 1
Factor -2*d**3/3 - 48*d**2 + 296*d/3.
-2*d*(d - 2)*(d + 74)/3
Factor -b**2/5 - 400*b.
-b*(b + 2000)/5
Find q such that -4*q**3 - 152*q**2 + 156*q = 0.
-39, 0, 1
Find i such that i**2/8 - 25/8 = 0.
-5, 5
Factor 2*q**4 + 6*q**3 - 4*q**2 - 24*q - 16.
2*(q - 2)*(q + 1)*(q + 2)**2
Let -15*n**5 - 54*n**4 + 33*n**3 + 216*n**2 + 108*n = 0. What is n?
-3, -2, -3/5, 0, 2
What is q in 5*q**5 - 140*q**4 + 510*q**3 - 740*q**2 + 485*q - 120 = 0?
1, 24
Suppose b**2/3 - 7192*b/3 + 12931216/3 = 0. What is b?
3596
Suppose -2*f**3/11 + 2*f**2/11 + 8*f/11 - 8/11 = 0. What is f?
-2, 1, 2
Determine q so that -q**5/2 + 133*q**4/6 - 57*q**3/2 - 15*q**2/2 + 43*q/3 = 0.
-2/3, 0, 1, 43
Factor -g**2 - 32*g + 833.
-(g - 17)*(g + 49)
Factor -2*x**3 - 42*x**2 - 142*x - 102.
-2*(x + 1)*(x + 3)*(x + 17)
What is s in s**3/5 - 554*s**2/5 + 76172*s/5 + 154568/5 = 0?
-2, 278
Factor 2*n**3 - 8*n**2 - 2*n + 8.
2*(n - 4)*(n - 1)*(n + 1)
Factor -3*h**4 - 1131*h**3 + 3*h**2 + 1131*h.
-3*h*(h - 1)*(h + 1)*(h + 377)
Let 2*t**4/5 + 14*t**3/5 - 86*t**2/5 - 46*t + 60 = 0. Calculate t.
-10, -3, 1, 5
Find l such that 2*l**2/5 + 36*l/5 - 38/5 = 0.
-19, 1
Find m such that 9*m**3 - 5982*m**2 - 1995*m = 0.
-1/3, 0, 665
Determine z, given that z**4/2 - 20*z**3 + 57*z**2 - 56*z + 37/2 = 0.
1, 37
Suppose 148*o**4 + 452*o**3 - 124*o**2 - 452*o - 24 = 0. Calculate o.
-3, -1, -2/37, 1
Let -4*q**4 + 56*q**3 + 284*q**2 + 96*q - 432 = 0. Calculate q.
-3, -2, 1, 18
Factor -m**2/8 - m/2 - 1/2.
-(m + 2)**2/8
Factor -317*r**3 + 319*r**2 - 2*r.
-r*(r - 1)*(317*r - 2)
Factor -6*d**4/5 + 36*d**3/5 - 66*d**2/5 + 36*d/5.
-6*d*(d - 3)*(d - 2)*(d - 1)/5
Factor 2*o**4/7 - 54*o**3/7 - 2*o**2/7 + 54*o/7.
2*o*(o - 27)*(o - 1)*(o + 1)/7
Find m such that 3*m**3 + 12*m**2 - 105*m - 450 = 0.
-5, 6
Factor -6*w**5/5 - 346*w**4/5 + 116*w**3/5.
-2*w**3*(w + 58)*(3*w - 1)/5
Factor 2*n**3/9 + 8*n**2/9 + 2*n/9 - 4/3.
2*(n - 1)*(n + 2)*(n + 3)/9
Factor 4*s**2 - 4008*s - 8032.
4*(s - 1004)*(s + 2)
Factor -4*v**3 - 8676*v**2 - 6272748*v - 1511732268.
-4*(v + 723)**3
Factor -3*s**4 + 81*s**3 - 729*s**2 + 2187*s.
-3*s*(s - 9)**3
Let -3*j**5 + 15*j**4 + 45*j**3 - 195*j**2 + 210*j - 72 = 0. Calculate j.
-4, 1, 6
Suppose -3*g**4 - 11*g**3 + 14*g**2 = 0. Calculate g.
-14/3, 0, 1
Solve 4*y**2 - 8360*y = 0.
0, 2090
Find i, given that -i**4/7 - 18*i**3/7 - 88*i**2/7 - 18*i - 55/7 = 0.
-11, -5, -1
What is q in -3*q**3 - 405*q**2 + 3*q + 405 = 0?
-135, -1, 1
Determine t so that 2*t**3 + 102*t**2 = 0.
-51, 0
Suppose 5*u**3 + 20*u**2 + 20*u = 0. Calculate u.
-2, 0
Factor 2*m**2/3 + 106*m/3 - 220/3.
2*(m - 2)*(m + 55)/3
Factor -2*t**2/13 - 758*t/13.
-2*t*(t + 379)/13
Factor 2*k**3/7 + 216*k**2/7 - 438*k/7 + 220/7.
2*(k - 1)**2*(k + 110)/7
Find p such that 4*p**4/3 + 1168*p**3/3 + 4624*p**2/3 + 1536*p = 0.
-288, -2, 0
Factor -2*s**4/13 + 8*s**2/13.
-2*s**2*(s - 2)*(s + 2)/13
Factor 14*n**5/3 + 1516*n**4/9 + 16*n**3.
2*n**3*(n + 36)*(21*n + 2)/9
Let x**3 + 13*x**2 + 16*x - 192 = 0. What is x?
-8, 3
Factor -j**2 + 11*j - 28.
-(j - 7)*(j - 4)
Factor -w**2 + 81*w - 828.
-(w - 69)*(w - 12)
Factor u**3 + 258*u**2 - 519*u + 260.
(u - 1)**2*(u + 260)
Factor 3*g**4 - 30*g**3 + 72*g**2.
3*g**2*(g - 6)*(g - 4)
Solve 4*a**3 + 1968*a**2 + 225552*a - 4129024 = 0 for a.
-254, 16
Let -3*l**3/4 - 147*l**2/4 - 468*l - 432 = 0. Calculate l.
-24, -1
Solve -3*q**2/5 - 144*q/5 + 147/5 = 0.
-49, 1
Factor -3*l**2/8 + 87*l/4 + 549/8.
-3*(l - 61)*(l + 3)/8
Suppose 2*a**3/5 + 18*a**2/5 + 54*a/5 + 54/5 = 0. Calculate a.
-3
Solve -26*o**3/15 + 2*o**2 - 4*o/15 = 0.
0, 2/13, 1
Let 2*j**4 - 28*j**3 + 144*j**2 - 320*j + 256 = 0. Calculate j.
2, 4
Factor -2*w**2/5 - 406*w/5 + 408/5.
-2*(w - 1)*(w + 204)/5
Determine s so that 3*s**4/2 + 13*s**3/2 - 38*s**2 - 62*s + 56 = 0.
-7, -2, 2/3, 4
Factor -2*m**2/9 + 44*m/3 - 192.
-2*(m - 48)*(m - 18)/9
Factor m**2/2 + 5*m - 11/2.
(m - 1)*(m + 11)/2
Factor 1156*z**2 - 272*z + 16.
4*(17*z - 2)**2
Solve 2*t**5 - 32*t**4 + 142*t**3 - 232*t**2 + 120*t = 0.
0, 1, 2, 3, 10
Let -4*i**2 - 2712*i - 2708 = 0. What is i?
-677, -1
Factor 3*i**3 - 30*i**2 + 39*i + 72.
3*(i - 8)*(i - 3)*(i + 1)
Determine c, given that 2*c**3 + 8*c**2 - 50*c - 56 = 0.
-7, -1, 4
Solve 2*b**2/5 + 16*b - 90 = 0 for b.
-45, 5
Factor 15*p**2 - 10220*p + 3405.
5*(p - 681)*(3*p - 1)
Determine w so that -5*w**2 + 190*w = 0.
0, 38
Factor a**4 - 5*a**3 - 36*a**2 + 108*a + 432.
(a - 6)**2*(a + 3)*(a + 4)
Suppose 3*f**4 - 116*f**3 + 1041*f**2 + 1560*f + 400 = 0. Calculate f.
-1, -1/3, 20
Factor 2*g**3/15 - 56*g**2/15 + 18*g/5.
2*g*(g - 27)*(g - 1)/15
Find f, given that 3*f**4/2 + 15*f**3/2 + 6*f**2 = 0.
-4, -1, 0
Factor 10*q**4 - 118*q**3 + 336*q**2 + 72*q.
2*q*(q - 6)**2*(5*q + 1)
Factor -i**5/4 + 5*i**4 + 45*i**3/2 + 35*i**2 + 95*i/4 + 6.
-(i - 24)*(i + 1)**4/4
Let 2*b**3/19 - 242*b/19 = 0. What is b?
-11, 0, 11
Let 2*f**3/9 - 2*f**2/9 - 20*f/9 - 16/9 = 0. What is f?
-2, -1, 4
Determine j, given that 5*j**3/2 + 5*j**2 = 0.
-2, 0
Solve n**4/3 + 61*n**3/3 = 0.
-61, 0
Factor 2*d**3 + 388*d**2 + 770*d + 384.
2*(d + 1)**2*(d + 192)
Let -9*f**4 - 150*f**3 + 56*f**2 + 86*f + 17 = 0. What is f?
-17, -1/3, 1
Factor 2*p**4/5 - 2*p**3 - 26*p**2/5 - 14*p/5.
2*p*(p - 7)*(p + 1)**2/5
Determine n so that n**3/2 - 103*n**2/2 - 645*n/2 - 981/2 = 0.
-3, 109
Find f such that -2*f**3/9 + 4*f**2/3 - 2*f + 8/9 = 0.
1, 4
Solve 3*t**2 - 27*t = 0 for t.
0, 9
Factor -3*f**2 - 684*f + 1380.
-3*(f - 2)*(f + 230)
Solve -2*z**5 + 118*z**4 + 122*z**3 - 118*z**2 - 120*z = 0.
-1, 0, 1, 60
Let v**5/5 - 7*v**4/5 + 14*v**3/5 - 8*v**2/5 = 0. What is v?
0, 1, 2, 4
Factor z**3/4 + 35*z**2/4 - z/4 - 35/4.
(z - 1)*(z + 1)*(z + 35)/4
Factor 5*q**4 + 155*q**3 + 870*q**2 + 720*q.
5*q*(q + 1)*(q + 6)*(q + 24)
Let -5*k**5/6 - 151*k**4/3 - 4615*k**3/6 - 749*k**2/3 + 770*k + 300 = 0. Calculate k.
-30, -1, -2/5, 1
Factor -2*u**2 + 102*u - 376.
-2*(u - 47)*(u - 4)
Let 2*k**4/15 - 22*k**3/3 - 46*k**2/3 + 22*k/3 + 76/5 = 0. Calculate k.
-2, -1, 1, 57
Factor -k**3/3 + 19*k**2 - 261*k - 841/3.
-(k - 29)**2*(k + 1)/3
Factor o**2/3 - 89*o/3 - 294.
(o - 98)*(o + 9)/3
Determine x, given that -x**4 + 4*x**3 + 41*x**2 + 36*x = 0.
-4, -1, 0, 9
Factor -3*a**3/2 - 72*a**2 - 1797*a/2 - 828.
-3*(a + 1)*(a + 23)*(a + 24)/2
Let -3*o**4 - 21*o**3 + 444*o**2 + 3180*o - 3600 = 0. Calculate o.
-10, 1, 12
Factor 4*n**2 - 40*n + 84.
4*(n - 7)*(n - 3)
Factor -2*t**4/15 + 152*t**3/15 - 288*t**2/5 + 1696*t/15 - 224/3.
-2*(t - 70)*(t - 2)**3/15
Factor -p**4/5 + 7*p**3/5 - 11*p**2/5 + p.
-p*(p - 5)*(p - 1)**2/5
Solve 4*m**4 + 124*m**3 + 1128*m**2 + 2576*m + 1568 = 0.
-14, -2, -1
Solve -28*x**5 + 260*x**4 - 436*x**3 - 148*x**2 + 464*x - 112 = 0.
-1, 2/7, 1, 2, 7
Factor -y**4 + 1096*y**3 + 2195*y**2 + 1098*y.
-y*(y - 1098)*(y + 1)**2
Solve 10*w**2 - 238*w/3 = 0 for w.
0, 119/15
Find n such that 2*n**4/5 + 348*n**3/5 + 14786*n**2/5 - 30624*n/5 + 15488/5 = 0.
-88, 1
Find g such that -5*g**4 - 2*g**3 + 28*g**2 - 30*g + 9 = 0.
-3, 3/5, 1
Suppose -4*u**2/3 - 44*u/3 = 0. What is u?
-11, 0
Factor -3*v**4/5 + 36*v**3/5 + 39*v**2/5.
-3*v**2*(v - 13)*(v + 1)/5
Suppose 5*h**2 - 60*h + 180 = 0. Calculate h.
6
Determine n so that -4*n**2/