.
-1, -2/51, 0, 1/3
Find b such that -b**4/8 + 273*b**3/8 + 275*b**2/8 - 273*b/8 - 137/4 = 0.
-1, 1, 274
Determine t so that -2*t**4 - 458*t**3 - 34650*t**2 - 841918*t + 1826132 = 0.
-77, 2
Suppose 2*z**4/7 - 18*z**3/7 + 26*z**2/7 + 18*z/7 - 4 = 0. What is z?
-1, 1, 2, 7
Factor p**2/4 - 3*p - 13/4.
(p - 13)*(p + 1)/4
Let 5*i**2/3 - 4465*i/3 - 8950/3 = 0. Calculate i.
-2, 895
Factor z**4 + 8*z**3 + 16*z**2.
z**2*(z + 4)**2
Solve -5*j**4 + 145*j**3 - 275*j**2 + 135*j = 0 for j.
0, 1, 27
Let p**3/3 - 153*p**2 - p/3 + 153 = 0. What is p?
-1, 1, 459
Find z such that -2*z**3 - 1210*z**2 - 183616*z - 182408 = 0.
-302, -1
Determine c so that 2*c**4 - 16*c**3 + 22*c**2 + 40*c = 0.
-1, 0, 4, 5
Let 2*f**5 - 488*f**4 + 1452*f**3 - 1448*f**2 + 482*f = 0. What is f?
0, 1, 241
Suppose -4*n**2 - 192*n + 832 = 0. What is n?
-52, 4
Find x such that -25*x**3 - 1565*x**2 + 2230*x - 640 = 0.
-64, 2/5, 1
Factor 2*t**3/11 - 232*t**2/11 + 590*t + 13924/11.
2*(t - 59)**2*(t + 2)/11
Factor 6*i**4/5 + 12*i**3 + 126*i**2/5 - 24*i/5 - 168/5.
6*(i - 1)*(i + 2)**2*(i + 7)/5
Find f, given that 3*f**4 + 51*f**3 + 255*f**2 + 369*f + 162 = 0.
-9, -6, -1
Factor c**2/4 - 57*c/2 + 3249/4.
(c - 57)**2/4
Factor -3*c**4 - 392*c**3 + 3*c**2 + 392*c.
-c*(c - 1)*(c + 1)*(3*c + 392)
What is q in -5*q**4 - 115*q**3 - 315*q**2 - 305*q - 100 = 0?
-20, -1
Solve -5*c**3 + 15*c**2 + 110*c - 120 = 0 for c.
-4, 1, 6
Find b, given that -b**3 + 5*b**2 - 2*b - 8 = 0.
-1, 2, 4
Factor -n**4 - 2*n**3 + 4*n**2 + 2*n - 3.
-(n - 1)**2*(n + 1)*(n + 3)
Factor 5*t**4 + 20*t**3 + 15*t**2 - 20*t - 20.
5*(t - 1)*(t + 1)*(t + 2)**2
Find x such that -5*x**3 - 65*x**2 - 275*x - 375 = 0.
-5, -3
Factor 3*o**2 + 11721*o + 11718.
3*(o + 1)*(o + 3906)
Find b, given that b**5/6 - b**4/3 - 29*b**3/3 - 98*b**2/3 - 77*b/2 - 15 = 0.
-3, -1, 10
Factor -2*m**2 + 24*m + 26.
-2*(m - 13)*(m + 1)
Factor -3*i**2 + 3*i + 36.
-3*(i - 4)*(i + 3)
What is v in -9*v**5/4 - 39*v**4/4 + 75*v**3/2 - 63*v**2/2 + 3*v/4 + 21/4 = 0?
-7, -1/3, 1
Solve 2*t**3/7 + 736*t**2/7 - 424*t + 2976/7 = 0.
-372, 2
Suppose n**5 - 15*n**3 + 10*n**2 + 24*n = 0. Calculate n.
-4, -1, 0, 2, 3
Factor 51*v**2/7 - 195*v/7 - 300/7.
3*(v - 5)*(17*v + 20)/7
Factor 4*r**4/7 + 848*r**3/7 + 59224*r**2/7 + 216240*r + 1820700.
4*(r + 21)**2*(r + 85)**2/7
Factor -2*i**4/9 - 8*i**3/3 - 92*i**2/9 - 40*i/3 - 50/9.
-2*(i + 1)**2*(i + 5)**2/9
Factor a**4 + a**3 - 2*a**2.
a**2*(a - 1)*(a + 2)
Factor a**2/4 - 209*a/4.
a*(a - 209)/4
Determine j so that -32*j**3 - 400*j**2 - 1426*j - 1058 = 0.
-23/4, -1
Find q such that 4*q**3 + 44*q**2 - 100*q + 52 = 0.
-13, 1
Determine y, given that 25*y**5 - 260*y**4 + 285*y**3 + 270*y**2 = 0.
-3/5, 0, 2, 9
Solve -2*k**4/7 - 6*k**3/7 + 18*k**2/7 + 54*k/7 = 0.
-3, 0, 3
Factor t**3 + t**2 - 12*t.
t*(t - 3)*(t + 4)
Factor -2*p**3/3 - 80*p**2/3 + 166*p/3 - 28.
-2*(p - 1)**2*(p + 42)/3
Factor -2*g**2/7 + 288*g/7 + 584/7.
-2*(g - 146)*(g + 2)/7
Let -4*v**2/5 + 48*v/5 + 52/5 = 0. What is v?
-1, 13
Solve -28*w**2 + 36*w + 40 = 0 for w.
-5/7, 2
Factor -13*f**4 + 18*f**3 + 3*f**2 - 8*f.
-f*(f - 1)**2*(13*f + 8)
Factor 91*q**2 - 94*q + 3.
(q - 1)*(91*q - 3)
Determine l so that 20*l**4 - 125*l**3 - 110*l**2 + 35*l = 0.
-1, 0, 1/4, 7
Let 6*s**4 - 82*s**3 - 34*s**2 + 82*s + 28 = 0. Calculate s.
-1, -1/3, 1, 14
Solve 3*p**4/2 - 747*p**3 + 94482*p**2 - 368277*p + 549081/2 = 0.
1, 3, 247
Find v, given that -3*v**4/5 - 54*v**3/5 - 216*v**2/5 - 282*v/5 - 117/5 = 0.
-13, -3, -1
Solve -5*v**2 + 5670*v - 1607445 = 0 for v.
567
Let -4*a**2/7 - 304*a/7 + 624/7 = 0. What is a?
-78, 2
Solve 3*g**5/4 + 25*g**4/4 + 45*g**3/4 - 45*g**2/4 - 22*g + 15 = 0.
-5, -3, -2, 2/3, 1
Factor -5043*f**3/2 + 106395*f**2/2 - 5172*f + 126.
-3*(f - 21)*(41*f - 2)**2/2
Find c such that 5*c**2 - 105*c + 340 = 0.
4, 17
Suppose -4*c**4 + 28*c**3 + 216*c**2 + 288*c = 0. What is c?
-3, -2, 0, 12
Let 4*p**2 + 1640*p + 168100 = 0. What is p?
-205
What is r in 2*r**4/3 - r**3 - 2*r**2/3 + r = 0?
-1, 0, 1, 3/2
What is z in 2*z**2/11 + 122*z/11 - 124/11 = 0?
-62, 1
Factor -2*v**3/5 + 108*v**2/5 + 2*v/5 - 108/5.
-2*(v - 54)*(v - 1)*(v + 1)/5
Factor -m**2/2 - 261*m/4.
-m*(2*m + 261)/4
Factor 2*b**2/5 - 14*b/5 + 12/5.
2*(b - 6)*(b - 1)/5
Factor -5*n**4 + 16*n**3 + 42*n**2 + 16*n - 5.
-(n - 5)*(n + 1)**2*(5*n - 1)
What is w in w**4/4 + 41*w**3/4 + 399*w**2/4 - 441*w/4 = 0?
-21, 0, 1
Factor 4*s**2 + 64*s + 256.
4*(s + 8)**2
Suppose m**3/4 + 3*m**2/4 - 9*m + 8 = 0. Calculate m.
-8, 1, 4
Solve -3*t**4/8 - 21*t**3/4 + 9*t**2/8 + 15*t - 21/2 = 0 for t.
-14, -2, 1
Find j, given that -j**3/6 - 367*j**2/2 = 0.
-1101, 0
Factor 2*l**4/5 - 126*l**3/5 + 352*l**2/5 + 96*l.
2*l*(l - 60)*(l - 4)*(l + 1)/5
Find b, given that -b**2/5 + 6*b/5 + 16/5 = 0.
-2, 8
Factor -49*i**2/6 - 77*i/3 - 121/6.
-(7*i + 11)**2/6
Factor -5*a**5 + 85*a**4 - 150*a**3 - 10*a**2 + 155*a - 75.
-5*(a - 15)*(a - 1)**3*(a + 1)
Suppose -2*x**2/3 - 16*x - 90 = 0. Calculate x.
-15, -9
Determine s so that 5*s**5 - 55*s**4 + 135*s**3 + 55*s**2 - 140*s = 0.
-1, 0, 1, 4, 7
Factor -2*x**2/5 - 562*x/5 - 552.
-2*(x + 5)*(x + 276)/5
Factor -5*l**2 - 9500*l - 4512500.
-5*(l + 950)**2
Factor 4*c**2 + 344*c + 1312.
4*(c + 4)*(c + 82)
Factor 3*v**2 - 228*v + 4332.
3*(v - 38)**2
Let 2*x**5 - 252*x**4 + 1222*x**3 - 1444*x**2 - 984*x + 1936 = 0. Calculate x.
-1, 2, 121
Factor 2*q**2 + 50*q.
2*q*(q + 25)
Factor 14*t**2/9 + 22*t/9 - 4.
2*(t - 1)*(7*t + 18)/9
Factor 2*h**3/7 - 118*h**2/7 - 498*h/7 - 54.
2*(h - 63)*(h + 1)*(h + 3)/7
Factor -2*z**3/7 - 78*z**2/7 - 72*z/7 + 152/7.
-2*(z - 1)*(z + 2)*(z + 38)/7
Suppose -z**2/6 + 7*z/3 - 8 = 0. What is z?
6, 8
Factor -o**4/4 + 573*o**3/2 - 327181*o**2/4 - 164451*o - 82369.
-(o - 574)**2*(o + 1)**2/4
Factor -s**3/4 - s**2 + s/4 + 1.
-(s - 1)*(s + 1)*(s + 4)/4
Determine r, given that 4*r**5 - 48*r**4 + 152*r**3 - 208*r**2 + 132*r - 32 = 0.
1, 8
Suppose -32805*d**4 - 110727*d**3 - 36617*d**2 + 955*d - 6 = 0. Calculate d.
-3, -2/5, 1/81
Factor 51*c**3/2 - 231*c**2/2 + 90*c.
3*c*(c - 1)*(17*c - 60)/2
Factor -i**4/4 - 10*i**3 - 411*i**2/4 - 225*i.
-i*(i + 3)*(i + 12)*(i + 25)/4
Solve -2*d**4 - 44*d**3 - 240*d**2 + 44*d + 242 = 0.
-11, -1, 1
Factor -t**3 + 2*t**2 + t - 2.
-(t - 2)*(t - 1)*(t + 1)
Factor v**4/3 + 7*v**3/3 - 17*v**2/3 + 3*v.
v*(v - 1)**2*(v + 9)/3
Suppose -d**3/5 - 212*d**2/5 - 11021*d/5 + 22898/5 = 0. Calculate d.
-107, 2
Factor 3*b**3 + 111*b**2 + 312*b + 204.
3*(b + 1)*(b + 2)*(b + 34)
Let t**3/5 + 6*t**2 + 107*t/5 + 78/5 = 0. What is t?
-26, -3, -1
Factor y**2/3 + 284*y/3 - 572/3.
(y - 2)*(y + 286)/3
Let 10*f**4 - 532*f**3 + 498*f**2/5 + 1688*f/5 + 424/5 = 0. What is f?
-2/5, 1, 53
Factor 2*g**3/9 + 16*g**2/3 + 232*g/9 + 32.
2*(g + 2)*(g + 4)*(g + 18)/9
Solve -4*b**3 + 13416*b**2 - 26820*b + 13408 = 0.
1, 3352
Solve -196*g**2 + 126*g + 36 = 0 for g.
-3/14, 6/7
Suppose 397*t**2 + 1590*t + 8 = 0. Calculate t.
-4, -2/397
Factor -2*v**3 - 104*v**2.
-2*v**2*(v + 52)
Suppose -6*n**4 + 15*n**3 + 36*n**2 + 3*n - 12 = 0. Calculate n.
-1, 1/2, 4
Find k, given that -3*k**2 + 363*k - 360 = 0.
1, 120
Determine g so that 2*g**2/7 - 10*g/7 + 12/7 = 0.
2, 3
Factor -q**3/3 - 20*q**2/3 + q/3 + 20/3.
-(q - 1)*(q + 1)*(q + 20)/3
Factor 4*k**4 + 304*k**3 + 6316*k**2 + 19296*k - 25920.
4*(k - 1)*(k + 5)*(k + 36)**2
Solve -8*g**5/3 + 10*g**4 + 190*g**3/3 - 10*g**2 - 182*g/3 = 0.
-13/4, -1, 0, 1, 7
Let 196*v**5 - 3324*v**4 + 2804*v**3 + 3452*v**2 - 3000*v - 128 = 0. Calculate v.
-1, -2/49, 1, 16
Solve -3*u**2 + 3369*u + 3372 = 0 for u.
-1, 1124
Factor p**3 - 6*p**2 - p + 6.
(p - 6)*(p - 1)*(p + 1)
Suppose 60*g**3 - 704*g**2 - 208*g + 192 = 0. Calculate g.
-2/3, 2/5, 12
Determine r, given that -128*r**3/7 - 288*r**2/7 - 162*r/7 = 0.
-9/8, 0
Let -2*k**2 + 58*k + 124 = 0. What is k?
-2, 31
Factor -3*q**3/4 - 31*q**2/4 + 36*q - 35.
-(q - 2)*(q + 14)*(3*q - 5)/4
Factor v**3 + 86*v**2.
v**2*(v + 86)
Let -2*g**5/7 - 60*g**4/7 - 646*g**3/7 - 452*g**2 - 7104*g/7 - 832 = 0. Calculate g.
-13, -7, -4, -2
Suppose -3*v**3 - 3*v**2 + 12*v + 12 = 0. What is v?
-2, -1, 2
Solve -w**2 - 63*w + 130 = 0 for w.
-65, 2
Let -h**3 + 1557*h**2 - 808083*h + 139798359 = 0. Calculate h.
519
Let 2*j**3/5 + 146*j**2/5 + 412*j/5 - 112 = 0. Calculate j.
-70, -4, 1
Solve n**2/2 + 252*n + 31752 = 0 for n.
-252
Determine s, given that s**2/2 - 93*s + 8649/2 = 0.
93
