, 2/3
Factor -5*g**3 - 215*g**2 + 445*g - 225.
-5*(g - 1)**2*(g + 45)
Factor -g**2/4 - 1475*g/2 - 2175625/4.
-(g + 1475)**2/4
Factor 4*z**3 + 196*z**2 + 380*z + 188.
4*(z + 1)**2*(z + 47)
Suppose -9*b**2 - 123*b - 78 = 0. Calculate b.
-13, -2/3
What is a in -4*a**4 - 36*a**3 + 48*a**2 + 80*a = 0?
-10, -1, 0, 2
Suppose 4*y**5 - 108*y**4 + 1000*y**3 - 3600*y**2 + 4000*y = 0. Calculate y.
0, 2, 5, 10
Let -4*w**3 - 48*w**2 - 116*w + 168 = 0. What is w?
-7, -6, 1
Find x such that 9*x**5 + 16*x**4 - 31*x**3 - 66*x**2 - 20*x + 8 = 0.
-2, -1, 2/9, 2
Factor 3*h**3 + 2811*h**2 - 3*h - 2811.
3*(h - 1)*(h + 1)*(h + 937)
Let t**2 + 74*t + 73 = 0. What is t?
-73, -1
Factor -2*g**3 - 94*g**2 - 832*g + 6760.
-2*(g - 5)*(g + 26)**2
Let -s**4/5 + 13*s**3/10 - 12*s**2/5 + 17*s/10 - 2/5 = 0. Calculate s.
1/2, 1, 4
Determine x, given that 3*x**2 + 3324*x + 920748 = 0.
-554
Determine j so that -5*j**2 - 40*j + 100 = 0.
-10, 2
Find k such that k**2 - 2*k - 15 = 0.
-3, 5
Suppose -4*r**5/5 + 25*r**4 - 1159*r**3/5 + 2858*r**2/5 - 2212*r/5 + 392/5 = 0. What is r?
1/4, 1, 2, 14
Let 4*t**5/5 - 14*t**4 + 24*t**3/5 + 166*t**2/5 + 68*t/5 = 0. What is t?
-1, -1/2, 0, 2, 17
Factor 2*l**3/3 + 154*l**2/3 - 316*l/3.
2*l*(l - 2)*(l + 79)/3
What is x in x**2/6 - 730*x/3 + 266450/3 = 0?
730
What is f in -7*f**5/6 - 50*f**4 - 406*f**3/3 - 80*f**2 = 0?
-40, -2, -6/7, 0
Solve 28*d**5 + 152*d**4 + 312*d**3 + 304*d**2 + 140*d + 24 = 0 for d.
-2, -1, -3/7
Determine i so that -40*i**4 - 23660*i**3 + 35550*i**2 - 17785*i + 2965 = 0.
-593, 1/2
Let -9*b**3/4 + 137*b**2/4 + 957*b/2 - 108 = 0. Calculate b.
-9, 2/9, 24
Let 5*v**2 - 5220*v = 0. Calculate v.
0, 1044
Solve -2*y**2/9 + 28*y/3 - 160/9 = 0 for y.
2, 40
Determine w so that -11*w**4/2 - 1609*w**3/2 - 219*w**2 = 0.
-146, -3/11, 0
Determine v so that -v**2/2 + 17*v/2 + 55 = 0.
-5, 22
Find n, given that -2*n**2 + 816*n - 83232 = 0.
204
Solve -9*x**4 + 506*x**3 - 1093*x**2 + 704*x - 108 = 0 for x.
2/9, 1, 54
Suppose 2*i**4/5 - 144*i**3/5 + 2444*i**2/5 + 5328*i/5 + 2738/5 = 0. Calculate i.
-1, 37
Find g such that -g**2 - 18*g = 0.
-18, 0
What is p in -2*p**3 + 96*p**2 + 408*p + 416 = 0?
-2, 52
What is l in -4*l**4/3 - 32*l**3/3 - 8*l**2/3 + 320*l/3 + 100 = 0?
-5, -1, 3
Determine o so that 2*o**3/3 + 76*o**2 + 438*o + 648 = 0.
-108, -3
Suppose -21*y**3/5 - 6966*y**2/5 - 11868*y/5 + 792 = 0. What is y?
-330, -2, 2/7
Determine z, given that -3*z**4 - 27*z**3 + 9*z**2 + 75*z - 54 = 0.
-9, -2, 1
Factor -3*v**2/8 + 51*v/8 - 6.
-3*(v - 16)*(v - 1)/8
Let -2*t**5/13 - 8*t**4/13 + 16*t**3/13 + 84*t**2/13 + 18*t/13 - 108/13 = 0. Calculate t.
-3, -2, 1, 3
Let -2*d**3/19 + 2*d/19 = 0. Calculate d.
-1, 0, 1
Factor 75*g**2 - 141*g - 18.
3*(g - 2)*(25*g + 3)
What is f in -3*f**2 - 84*f - 81 = 0?
-27, -1
Factor 5*i**5 + 50*i**4 + 140*i**3 + 120*i**2.
5*i**2*(i + 2)**2*(i + 6)
Factor y**5 + 3*y**4 - 16*y**3 - 20*y**2 + 96*y - 64.
(y - 2)**2*(y - 1)*(y + 4)**2
Factor w**4 + 64*w**3 - 1597*w**2 - 1660*w.
w*(w - 20)*(w + 1)*(w + 83)
Find f, given that -f**5/2 + 67*f**4/2 - 131*f**3/2 + 65*f**2/2 = 0.
0, 1, 65
What is v in -4*v**3 - 76*v**2 + 4980*v - 44100 = 0?
-49, 15
Find u such that -u**3/6 + 19*u**2/6 + 2*u/3 - 38/3 = 0.
-2, 2, 19
Suppose 15*c**5 - 115*c**4 + 145*c**3 + 415*c**2 - 760*c + 300 = 0. What is c?
-2, 2/3, 1, 3, 5
Factor 98*z**5 + 1526*z**4 + 8198*z**3 + 16570*z**2 + 7600*z + 1000.
2*(z + 5)**3*(7*z + 2)**2
What is w in 2*w**3 + 20*w**2 - 106*w + 84 = 0?
-14, 1, 3
Let -4*d**3/5 + 76*d**2/5 + 1408*d/5 + 496 = 0. Calculate d.
-10, -2, 31
Find l, given that -3*l**4/2 + 891*l**3 = 0.
0, 594
Factor 13*o**2 - 518*o - 80.
(o - 40)*(13*o + 2)
Factor 2*f**2 - 278*f + 276.
2*(f - 138)*(f - 1)
Factor 3*p**3 + 321*p**2 + 312*p - 636.
3*(p - 1)*(p + 2)*(p + 106)
Factor -n**3/5 - 8*n**2/5 - 19*n/5 - 12/5.
-(n + 1)*(n + 3)*(n + 4)/5
Let w**3 + 2773*w**2 + 1923768*w + 1920996 = 0. Calculate w.
-1386, -1
Factor -p**4/5 + 12*p**3 - 838*p**2/5 - 372*p - 961/5.
-(p - 31)**2*(p + 1)**2/5
Suppose -y**5/4 + 11*y**4 - 163*y**3/4 + 29*y**2 + 41*y - 40 = 0. What is y?
-1, 1, 2, 40
Factor -i**3 - 46*i**2 + 196*i - 200.
-(i - 2)**2*(i + 50)
Determine n, given that 4*n**5 - 36*n**4 + 84*n**3 - 76*n**2 + 24*n = 0.
0, 1, 6
Determine s, given that -2*s**5 - 36*s**4 - 204*s**3 - 160*s**2 + 1950*s + 4500 = 0.
-6, -5, 3
Factor a**2 - 83*a + 1260.
(a - 63)*(a - 20)
What is r in 3*r**2 + 27*r - 108 = 0?
-12, 3
Find q such that 4*q**3/3 - 70*q**2/3 - 112*q/3 - 38/3 = 0.
-1, -1/2, 19
What is o in -5*o**5/7 - 153*o**4/7 - 1528*o**3/7 - 732*o**2 - 288*o + 1728/7 = 0?
-12, -6, -1, 2/5
Factor 5*d**2 - 5110*d + 10200.
5*(d - 1020)*(d - 2)
Find k, given that 4*k**2/5 - k - 9/5 = 0.
-1, 9/4
Determine r, given that 5*r**4 - 25*r**3 + 20*r**2 = 0.
0, 1, 4
Factor 7*s**3 - 22489*s**2 - 28924*s - 6428.
(s - 3214)*(s + 1)*(7*s + 2)
Determine u, given that -2*u**3/3 - 74*u**2/3 - 24*u = 0.
-36, -1, 0
Factor 3*r**2 - 63*r + 204.
3*(r - 17)*(r - 4)
Determine s so that -3*s**4 + 807*s**3/2 - 996*s**2 + 1587*s/2 - 198 = 0.
1/2, 1, 132
Factor -2*k**5/5 + 118*k**4/5 - 816*k**3/5.
-2*k**3*(k - 51)*(k - 8)/5
Suppose 6*x**4 + 1316*x**3 + 215162*x**2/3 - 144760*x/3 + 24200/3 = 0. Calculate x.
-110, 1/3
Factor h**3/5 + 81*h**2/5 + 336*h + 320.
(h + 1)*(h + 40)**2/5
Factor -16*g**2/5 - 591*g/5 + 37/5.
-(g + 37)*(16*g - 1)/5
Factor -2*o**4/15 + 58*o**3/15 - 26*o**2 - 30*o.
-2*o*(o - 15)**2*(o + 1)/15
Solve -x**4/6 + 7*x**3/6 + 13*x**2/2 + 53*x/6 + 11/3 = 0.
-2, -1, 11
Find u such that 4*u**3 - 84*u**2 + 156*u - 76 = 0.
1, 19
Factor -5*j**2 + 90*j - 85.
-5*(j - 17)*(j - 1)
Factor z**3 - 2*z**2 - 3*z.
z*(z - 3)*(z + 1)
Factor -14*t**3/5 - 114*t**2/5 - 114*t/5 - 14/5.
-2*(t + 1)*(t + 7)*(7*t + 1)/5
Factor -2*v**4/3 + 14*v**3/3 - 16*v**2/3 - 32*v/3.
-2*v*(v - 4)**2*(v + 1)/3
Factor 3*g**2 + 45*g + 108.
3*(g + 3)*(g + 12)
Factor -4*h**3 - 80*h**2 - 432*h - 576.
-4*(h + 2)*(h + 6)*(h + 12)
Suppose l**4/3 - l**3 - 5*l**2 - 17*l/3 - 2 = 0. What is l?
-1, 6
Find n, given that 20*n**5/3 + 35*n**4/3 - 50*n**3 - 125*n**2/3 + 280*n/3 - 20 = 0.
-3, -2, 1/4, 1, 2
Find v such that 4*v**3/3 + 346*v**2 + 22360*v - 33800/3 = 0.
-130, 1/2
What is l in 55*l**2 + 60*l + 5 = 0?
-1, -1/11
Suppose -2*a**2/13 + 30*a/13 + 68/13 = 0. What is a?
-2, 17
Suppose -4*g**2/7 - 68*g - 1840/7 = 0. What is g?
-115, -4
What is k in -4*k**3 + 104*k**2 - 560*k - 1568 = 0?
-2, 14
Factor 2*o**2/11 + 36*o/11 - 80/11.
2*(o - 2)*(o + 20)/11
Find s, given that 5*s**2 - 300*s + 4500 = 0.
30
Factor 2*d**5 - 156*d**4 + 3858*d**3 - 32600*d**2 + 112992*d - 139392.
2*(d - 33)**2*(d - 4)**3
Solve 3*h**3 + 105*h**2 + 96*h - 204 = 0 for h.
-34, -2, 1
Factor 10*k**2/9 + 86*k/9 - 4.
2*(k + 9)*(5*k - 2)/9
Determine q so that 2*q**5/15 + 28*q**4/15 + 118*q**3/15 + 188*q**2/15 + 32*q/5 = 0.
-8, -3, -2, -1, 0
Solve 80*m**4 - 144*m**3 + 36*m**2 + 40*m - 12 = 0 for m.
-1/2, 3/10, 1
Factor 10*g**5/7 + 36*g**4/7 + 6*g**3 + 16*g**2/7.
2*g**2*(g + 1)**2*(5*g + 8)/7
Determine j, given that -35*j**4 - 130*j**3 + 5*j**2 + 220*j - 60 = 0.
-3, -2, 2/7, 1
What is y in -28*y**4 - 16*y**3 + 152*y**2 - 144*y + 36 = 0?
-3, 3/7, 1
Factor -3*i**4/5 - 96*i**3/5 - 216*i**2 - 960*i - 1200.
-3*(i + 2)*(i + 10)**3/5
Factor -2*z**3 + 174*z**2 - 990*z + 1458.
-2*(z - 81)*(z - 3)**2
Find w, given that -2*w**3/3 + 52*w**2/3 - 98*w/3 + 16 = 0.
1, 24
Factor -6*v**3 - 344*v**2 + 232*v.
-2*v*(v + 58)*(3*v - 2)
Factor -128*m**5 - 252*m**4 - 120*m**3 + 4*m**2.
-4*m**2*(m + 1)**2*(32*m - 1)
Suppose x**4/7 + 404*x**3/7 + 61206*x**2/7 + 4121204*x/7 + 104060401/7 = 0. What is x?
-101
Factor 4*u**3 - 196*u**2 + 536*u + 736.
4*(u - 46)*(u - 4)*(u + 1)
Factor y**4/3 - 104*y**3/3 + 503*y**2 + 3334*y/3 + 1720/3.
(y - 86)*(y - 20)*(y + 1)**2/3
Factor 5*q**3 - 60*q**2 - 75*q + 130.
5*(q - 13)*(q - 1)*(q + 2)
Determine u so that 2*u**4/13 + 96*u**3/13 + 1134*u**2/13 - 864*u/13 - 10368/13 = 0.
-24, -3, 3
Factor j**3/4 + 1585*j**2/2 + 2512225*j/4.
j*(j + 1585)**2/4
Suppose -10*y**5/7 - 12*y**4 - 242*y**3/7 - 264*y**2/7 - 72*y/7 = 0. What is y?
-3, -2, -2/5, 0
Determine k, given that -900*k**4 - 1020*k**3 - 124*k**2 - 4*k = 0.
-1, -1/15, 0
Factor -i**4/8 - 17*i**3/4 - 125*i**2/8 - 19*i - 15/2.
-(i + 1)**2*(i + 2)*(i + 30)/8
Let 5*s**5/2 + 105*s**4 + 2385*s**3/2 + 1700*s**2 - 3000*s = 0. Calculate s.
-20, -3, 0, 1
