/4.
d*(d + 759)/4
Factor -k**2 - 540*k - 72900.
-(k + 270)**2
Factor -3*z**2 - 651*z - 648.
-3*(z + 1)*(z + 216)
Find d such that 7*d**2/2 + 27*d - 8 = 0.
-8, 2/7
Suppose 3*j**5/2 + 81*j**4/8 + 159*j**3/8 + 63*j**2/8 - 27*j/8 = 0. Calculate j.
-3, -1, 0, 1/4
What is s in 23*s**3/4 - 21*s**2/4 - s/2 = 0?
-2/23, 0, 1
Determine z, given that 192*z**5 + 352*z**4 - 52*z**3 - 336*z**2 - 140*z - 16 = 0.
-4/3, -1, -1/4, 1
Factor -2*k**2 - 80*k - 152.
-2*(k + 2)*(k + 38)
Factor 2*d**3/5 - 432*d**2/5 - 2*d/5 + 432/5.
2*(d - 216)*(d - 1)*(d + 1)/5
Factor q**3/3 + 50*q**2/3 - 71*q + 54.
(q - 3)*(q - 1)*(q + 54)/3
Factor -3*l**2/2 + 62*l + 127/2.
-(l + 1)*(3*l - 127)/2
Let 3*f**2 + 444*f + 1305 = 0. What is f?
-145, -3
Factor -4*w**5 + 44*w**4 - 40*w**3 - 424*w**2 - 532*w - 196.
-4*(w - 7)**2*(w + 1)**3
Suppose 12*m**5 - 198*m**4 - 1269*m**3/4 - 483*m**2/4 - 27*m/2 = 0. What is m?
-1, -1/4, 0, 18
Determine w, given that -2*w**5 + 2517*w**4 - 790021*w**3 - 1189440*w**2 - 396900*w = 0.
-1, -1/2, 0, 630
Solve 2*z**2/11 - 30*z/11 + 28/11 = 0.
1, 14
Factor -4*w**2 + 8*w - 4.
-4*(w - 1)**2
Solve 63*z**4 - 117*z**3 + 69*z**2 - 49*z/3 + 4/3 = 0 for z.
4/21, 1/3, 1
Let 7*m**4/2 + 11*m**3/3 - 19*m**2/2 + 7*m/3 = 0. What is m?
-7/3, 0, 2/7, 1
Solve -2*j**5/3 + 4*j**4/3 - 4*j**2/3 + 2*j/3 = 0.
-1, 0, 1
Solve -2*u**2/3 + 116*u/3 - 1682/3 = 0.
29
Factor n**4/2 - 2*n**3 + 3*n**2/2.
n**2*(n - 3)*(n - 1)/2
Factor 4*o**2 - 128*o + 540.
4*(o - 27)*(o - 5)
Suppose -2*i**5/7 - 10*i**4/7 - 12*i**3/7 = 0. Calculate i.
-3, -2, 0
Find f such that -f**2 - 173*f + 174 = 0.
-174, 1
Determine h so that 23*h**5/6 - 71*h**4/6 + h**3 = 0.
0, 2/23, 3
Suppose 5*q**3 + 15*q**2 - 5*q - 15 = 0. What is q?
-3, -1, 1
Suppose -2*g**4 - 96*g**3 - 942*g**2 + 5096*g - 4056 = 0. What is g?
-26, 1, 3
Determine j so that 275*j**5 - 1640*j**4 + 3515*j**3 - 3170*j**2 + 980*j + 40 = 0.
-2/55, 1, 2
Determine k so that -2*k**5 - 12*k**4 - 26*k**3 - 24*k**2 - 8*k = 0.
-2, -1, 0
Factor 6*i**3 + 1672*i**2 + 1112*i.
2*i*(i + 278)*(3*i + 2)
Factor -2*m**3 - 1206*m**2 - 181200*m + 182408.
-2*(m - 1)*(m + 302)**2
Solve z**4/2 + 137*z**3/2 + 1179*z**2/2 + 3483*z/2 + 1728 = 0.
-128, -3
What is a in 2*a**4 + a**3 - 3*a**2 - a + 1 = 0?
-1, 1/2, 1
Factor -2*l**2/7 + 144*l/7 + 146/7.
-2*(l - 73)*(l + 1)/7
Let -6*n**5 + 183*n**4/2 - 693*n**3/2 + 321*n**2 - 60*n = 0. What is n?
0, 1/4, 1, 4, 10
Factor 15*f**3 + 280*f**2 + 1100*f - 2000.
5*(f + 10)**2*(3*f - 4)
Find i, given that 2*i**5/17 - 6*i**4/17 - 58*i**3/17 + 246*i**2/17 - 304*i/17 + 120/17 = 0.
-6, 1, 2, 5
Factor -25*y**3/3 - 895*y**2/3 - 704*y/3 - 140/3.
-(y + 35)*(5*y + 2)**2/3
Find i such that -98*i**5/9 + 140*i**4/9 + 202*i**3/9 - 124*i**2/9 - 104*i/9 - 16/9 = 0.
-1, -2/7, 1, 2
Solve -4*i**5 - 4*i**4 + 20*i**3 + 4*i**2 - 32*i + 16 = 0.
-2, 1
Factor 18*o**3 - 28*o**2 - 18*o + 28.
2*(o - 1)*(o + 1)*(9*o - 14)
Factor 5*f**2/4 + 15*f - 945/4.
5*(f - 9)*(f + 21)/4
Factor 4*q**3 - 54*q**2.
2*q**2*(2*q - 27)
Factor -3*j**3 + 189*j**2 - 1053*j + 1539.
-3*(j - 57)*(j - 3)**2
Suppose -4*b**2/5 - 8*b/5 + 12/5 = 0. Calculate b.
-3, 1
Solve 5*h**3 + 660*h**2 + 1305*h + 650 = 0 for h.
-130, -1
Let 4*c**3 + 56*c**2 - 4*c - 56 = 0. What is c?
-14, -1, 1
Find l, given that 2*l**2/3 - 16*l/3 + 10 = 0.
3, 5
Factor -2*p**3 + 244*p**2 - 5106*p - 152352.
-2*(p - 69)**2*(p + 16)
Factor k**2 - 151*k - 152.
(k - 152)*(k + 1)
Find f such that -2*f**2/3 - 4*f - 10/3 = 0.
-5, -1
Let j**5 + 16*j**4 - 69*j**3 - 208*j**2 + 428*j + 912 = 0. Calculate j.
-19, -2, 3, 4
What is a in -2*a**4/5 - 68*a**3/5 - 144*a**2 - 620*a - 950 = 0?
-19, -5
Solve -4*o**2 - 660*o + 664 = 0.
-166, 1
Suppose c**5/2 + 3*c**4/2 - 51*c**3/2 - 251*c**2/2 - 171*c - 72 = 0. What is c?
-6, -3, -1, 8
Factor 3*q**3/4 - 111*q**2/4 + 105*q/2.
3*q*(q - 35)*(q - 2)/4
Suppose -2*b**3/13 - 4*b**2/13 + 30*b/13 = 0. Calculate b.
-5, 0, 3
Suppose l**3/5 + 241*l**2/5 + 952*l/5 + 948/5 = 0. Calculate l.
-237, -2
Factor -5*k**4 + 475*k**3 + 15*k**2 - 1415*k - 950.
-5*(k - 95)*(k - 2)*(k + 1)**2
Find s such that 4*s**3 + 24*s**2 + 12*s - 40 = 0.
-5, -2, 1
Factor -4*q**3 + 340*q**2.
-4*q**2*(q - 85)
Suppose -2*z**3/3 - 40*z**2/3 - 38*z/3 = 0. Calculate z.
-19, -1, 0
What is h in 3*h**3/2 + 18*h**2 + 27*h/2 - 33 = 0?
-11, -2, 1
Factor j**4/8 - 27*j**3/4 + 101*j**2/8 + 39*j/2.
j*(j - 52)*(j - 3)*(j + 1)/8
Factor 961*z**3/2 - 62*z**2 + 2*z.
z*(31*z - 2)**2/2
Factor -u**2/2 + 37*u - 1369/2.
-(u - 37)**2/2
Find s, given that 2*s**4 - 2336*s**3 + 684444*s**2 - 1361888*s + 679778 = 0.
1, 583
Suppose -2*p**2/7 + 3578*p/7 + 3580/7 = 0. Calculate p.
-1, 1790
Factor 4802*b**5 - 172186*b**4 - 200704*b**3 - 86576*b**2 - 16544*b - 1184.
2*(b - 37)*(7*b + 2)**4
Factor -4*a**3 - 4*a**2 + 40*a - 32.
-4*(a - 2)*(a - 1)*(a + 4)
Find n such that -n**3 - 63*n**2 - 1323*n - 9261 = 0.
-21
Solve -2*o**4 + 98*o**3 - 2301*o**2/2 - 1225*o - 625/2 = 0.
-1/2, 25
Find a, given that a**2/9 + 22*a/9 = 0.
-22, 0
Solve t**4 + 23*t**3/3 + 56*t**2/3 + 52*t/3 + 16/3 = 0.
-4, -2, -1, -2/3
Factor 3*g**3/4 + 1083*g**2/4 - 1089*g/2.
3*g*(g - 2)*(g + 363)/4
Find q such that 3*q**3/5 + 42*q**2/5 + 36*q + 216/5 = 0.
-6, -2
Let -5*n**2 + 220*n = 0. Calculate n.
0, 44
Suppose -45*b**5 - 120*b**4 + 2410*b**3 + 10640*b**2 + 6275*b + 1000 = 0. Calculate b.
-5, -1/3, 8
Find v, given that -3*v**4 + 162*v**3 - 144*v**2 - 786*v - 477 = 0.
-1, 3, 53
Determine b, given that -4*b**5 - 24*b**4 + 40*b**3 + 64*b**2 - 132*b + 56 = 0.
-7, -2, 1
Determine o so that -3*o**5/5 - 3*o**4 + 18*o**3/5 + 96*o**2/5 - 96*o/5 = 0.
-4, 0, 1, 2
Factor 13*j**5/5 - 3*j**4 + 2*j**3/5.
j**3*(j - 1)*(13*j - 2)/5
Determine y so that y**3/4 - y**2 - y + 4 = 0.
-2, 2, 4
Factor -3*u**3 - 129*u**2 + 132*u.
-3*u*(u - 1)*(u + 44)
Factor 2*w**3 - 280*w**2 - 3576*w - 10944.
2*(w - 152)*(w + 6)**2
Determine t so that 12*t**4 + 4*t**3 - 56*t**2 - 16*t + 32 = 0.
-2, -1, 2/3, 2
Find w such that -7*w**4/3 + 59*w**3 - 1051*w**2/3 + 373*w - 238/3 = 0.
2/7, 1, 7, 17
Find z such that 5*z**5 + 20*z**4 = 0.
-4, 0
Factor 3*c**4 - 210*c**3 - 648*c**2 - 654*c - 219.
3*(c - 73)*(c + 1)**3
Suppose 2*g**2/5 + 469*g - 1173/5 = 0. Calculate g.
-1173, 1/2
Suppose -t**4 - 765*t**3 - 764*t**2 = 0. What is t?
-764, -1, 0
Factor 18*y**2 - 219*y + 231.
3*(y - 11)*(6*y - 7)
What is v in -160*v**5 - 168*v**4 + 164*v**3 + 180*v**2 - 4*v - 12 = 0?
-1, -3/10, 1/4, 1
Factor 43*m**2/5 - 163*m/10 - 9/5.
(m - 2)*(86*m + 9)/10
Let -30*v**5 - 278*v**4 - 7838*v**3/15 + 3126*v**2/5 + 192*v + 40/3 = 0. Calculate v.
-5, -2/15, 1
Let 343*t**4 - 7595*t**3 - 6678*t**2 - 1924*t - 184 = 0. Calculate t.
-2/7, 23
Determine m, given that 2*m**5/15 + 26*m**4/15 + 38*m**3/5 + 166*m**2/15 - 68*m/15 - 16 = 0.
-5, -4, -3, -2, 1
Let -16*w**4 + 44*w**2 + 36*w + 8 = 0. What is w?
-1, -1/2, 2
Let -y**4/2 - 14*y**3 - 39*y**2 - 38*y - 25/2 = 0. Calculate y.
-25, -1
Solve -h**5/2 + h**4 + 11*h**3 - 10*h**2 - 93*h/2 + 45 = 0 for h.
-3, 1, 2, 5
Factor 3*o**3/5 + 474*o**2/5 - 3963*o/5 + 3486/5.
3*(o - 7)*(o - 1)*(o + 166)/5
Factor -5*k**2 - 70*k + 255.
-5*(k - 3)*(k + 17)
Determine f, given that -45*f**5 - 321*f**4 - 717*f**3 - 495*f**2 - 54*f = 0.
-3, -1, -2/15, 0
Solve -12*x**4 - 260*x**3 - 164*x**2 + 84*x = 0.
-21, -1, 0, 1/3
Determine v so that v**4 - 4*v**3 - 7*v**2 + 10*v = 0.
-2, 0, 1, 5
Find n such that -n**2/5 + 58*n/5 - 57/5 = 0.
1, 57
Solve -6*x**4/5 - 64*x**3 + 178*x**2 - 68*x - 224/5 = 0 for x.
-56, -1/3, 1, 2
Suppose -q**2 + 24*q = 0. Calculate q.
0, 24
Find n such that -2*n**5/15 + 26*n**4/15 + 6*n**3/5 - 54*n**2 = 0.
-5, 0, 9
Factor 4*d**5 - 68*d**4 + 232*d**3 - 328*d**2 + 212*d - 52.
4*(d - 13)*(d - 1)**4
Solve -4*k**3 + 16*k = 0.
-2, 0, 2
Factor -5*x**3/3 + 91*x**2/3 + 176*x/3 + 80/3.
-(x - 20)*(x + 1)*(5*x + 4)/3
Factor -4*w**4 - 16*w**3 - 20*w**2 - 8*w.
-4*w*(w + 1)**2*(w + 2)
Factor -c**4 - 18*c**3 - 52*c**2 + 360*c + 800.
-(c - 4)*(c + 2)*(c + 10)**2
Find o such that 5*o**2 + 5930*o = 0.
-1186, 0
Factor -11*l**4/2 + 109*l**3 - 530*l**2 - 100*l.
-l*(l - 10)**2*(11*l + 2)/2
Factor 4*y**4 + 72*y**3 + 420*y**2 + 784*y.
4*y*(y + 4)*(y + 7)**2
Suppose -m**2 + 409*m - 1218 = 0. What is m?
3, 406
Factor -5*r**3 + 320*r**2 + 655*r + 330.
-5*(r - 66)*(r + 1)**2
Factor -5*j**4 - 240*j**3 + 515*j**2 + 750*j.
-5*j*(j - 3)*(j + 1)*(j + 50)
Determine f so that -8*f**4/13 