4
Find p, given that 3*p**2/8 + 8967*p/2 + 26802363/2 = 0.
-5978
Let 3*f**3 + 39*f**2/2 - 39*f/2 - 63 = 0. Calculate f.
-7, -3/2, 2
Let 4*s**4 + 20*s**3 + 4*s**2 - 84*s - 72 = 0. What is s?
-3, -1, 2
Factor -5*x**5 - 460*x**4 - 1790*x**3 - 2660*x**2 - 1765*x - 440.
-5*(x + 1)**4*(x + 88)
Factor 6750*i**4 - 3500550*i**3 - 1400940*i**2 - 186824*i - 8304.
2*(i - 519)*(15*i + 2)**3
Determine x so that x**3 - x**2 - 2*x = 0.
-1, 0, 2
What is y in -3*y**4 - 6*y**3 + 6*y + 3 = 0?
-1, 1
Let 2*h**5 - 16*h**3 - 12*h**2 + 14*h + 12 = 0. What is h?
-2, -1, 1, 3
Let -k**3 - 92*k**2 = 0. Calculate k.
-92, 0
Factor 2*v**4 + 14*v**3 + 32*v**2 + 24*v.
2*v*(v + 2)**2*(v + 3)
Determine j, given that -2*j**2/7 - 248*j/7 + 250/7 = 0.
-125, 1
Determine q so that -q**4 - 6*q**3 + q**2 + 6*q = 0.
-6, -1, 0, 1
Factor s**2 - 94*s + 2209.
(s - 47)**2
Find b such that 2*b**2 + 354*b + 352 = 0.
-176, -1
Let -35*b**4 - 1130*b**3 - 2315*b**2 + 2580*b + 900 = 0. What is b?
-30, -3, -2/7, 1
Factor w**3 + 11*w**2 + 19*w + 9.
(w + 1)**2*(w + 9)
Solve 144*b**4/5 - 252*b**3/5 - 106*b**2/5 + 72*b/5 - 8/5 = 0 for b.
-2/3, 1/6, 1/4, 2
Factor a**5/2 - 88*a**4 + 7565*a**3/2 + 7921*a**2.
a**2*(a - 89)**2*(a + 2)/2
Let 2*w**2/5 + 252*w/5 + 288 = 0. Calculate w.
-120, -6
Solve -3*u**3 - 129*u**2 - 366*u - 240 = 0.
-40, -2, -1
Factor -29*k**2/3 - 176*k/9 - 4/9.
-(k + 2)*(87*k + 2)/9
What is p in -2*p**5 + 8*p**4 - 6*p**3 - 8*p**2 + 8*p = 0?
-1, 0, 1, 2
Suppose -2*w**5/9 - 50*w**4/9 + 2*w**3/3 + 154*w**2/9 + 100*w/9 = 0. Calculate w.
-25, -1, 0, 2
Suppose 3*r**5/4 - 39*r**4/2 + 363*r**3/4 + 192*r**2 - 375*r - 456 = 0. Calculate r.
-2, -1, 2, 8, 19
Solve 3*d**5 + 60*d**4 - 3*d**3 - 60*d**2 = 0.
-20, -1, 0, 1
Suppose -5*t**3 + 1430*t**2 + 4325*t + 2890 = 0. What is t?
-2, -1, 289
Let 2*d**3/3 + 1628*d**2/3 + 332920*d/3 + 659344/3 = 0. What is d?
-406, -2
Suppose 9*b**4/5 - 159*b**3/5 + 918*b**2/5 - 324*b - 648/5 = 0. What is b?
-1/3, 6
Let -x**3 + 229*x**2 - 15015*x + 209475 = 0. Calculate x.
19, 105
Factor -2*p**2/3 - 646*p/3 - 428.
-2*(p + 2)*(p + 321)/3
Suppose 2*z**5 - 30*z**4 - 6*z**3 + 86*z**2 + 60*z = 0. Calculate z.
-1, 0, 2, 15
Factor i**2 - 62*i + 961.
(i - 31)**2
Solve 1792*c**5 + 3064*c**4 - 8174*c**3/7 - 1556*c**2/7 + 472*c/7 + 16/7 = 0.
-2, -1/4, -1/32, 2/7
Find w such that w**2/2 + 881*w/2 - 441 = 0.
-882, 1
Find f, given that f**2/3 - 5*f = 0.
0, 15
Factor -2*c**3/11 + 94*c**2/11 - 180*c/11.
-2*c*(c - 45)*(c - 2)/11
Factor -w**2 - 116*w - 3364.
-(w + 58)**2
Suppose -3*c**3 - 20*c**2 - 43*c - 30 = 0. What is c?
-3, -2, -5/3
Determine l, given that 36*l**5/7 + 228*l**4/7 - 344*l**3/7 - 2552*l**2/7 + 1780*l/7 - 300/7 = 0.
-5, 1/3, 3
Factor 3*x**3 - 21222*x**2 + 50041476*x - 39332600136.
3*(x - 2358)**3
Factor 2*m**3/7 + 10*m**2 + 34*m - 310/7.
2*(m - 1)*(m + 5)*(m + 31)/7
Factor 4*a**2 + 508*a + 1000.
4*(a + 2)*(a + 125)
Factor -16*u**3 - 5836*u**2 - 534352*u - 397488.
-4*(u + 182)**2*(4*u + 3)
Let -5*u**2 - 1740*u - 151380 = 0. Calculate u.
-174
Solve -t**3 - 13*t**2/2 - 8*t - 5/2 = 0.
-5, -1, -1/2
Factor 3*j**2 - 96*j - 315.
3*(j - 35)*(j + 3)
Determine i so that 2*i**2/7 + 104*i/7 + 102/7 = 0.
-51, -1
Determine h, given that -h**2/6 + 110*h/3 = 0.
0, 220
Suppose 5*n**3 - 80*n**2 + 260*n - 240 = 0. Calculate n.
2, 12
Let -2*s**4/3 + 16*s**3/3 - 44*s**2/3 + 16*s - 6 = 0. Calculate s.
1, 3
Let -s**5/2 - 89*s**4/2 + 138*s**3 - 2*s**2 - 184*s = 0. What is s?
-92, -1, 0, 2
Factor 2*p**4 - 8*p**3 - 24*p**2.
2*p**2*(p - 6)*(p + 2)
Suppose -4*i**3 + 148*i**2 - 144*i = 0. What is i?
0, 1, 36
What is b in -5*b**5 - 20*b**4 - 5*b**3 + 70*b**2 + 100*b + 40 = 0?
-2, -1, 2
Factor -2*t**3/3 + 366*t**2 - 50050*t - 151250/3.
-2*(t - 275)**2*(t + 1)/3
Let 3*h**3 + 216*h**2 + 1017*h + 804 = 0. Calculate h.
-67, -4, -1
Find w, given that -3*w**2 - 12*w - 9 = 0.
-3, -1
What is b in b**2 + 293*b - 294 = 0?
-294, 1
Factor 64516*p**4 + 903732*p**3 + 3168397*p**2 + 24906*p + 49.
(p + 7)**2*(254*p + 1)**2
Factor 2*x**4/3 - 22*x**3 + 210*x**2 - 450*x.
2*x*(x - 15)**2*(x - 3)/3
Let 14*y**5 + 1574*y**4 + 341678*y**3/7 + 1729022*y**2/7 - 1072720*y/7 + 22472 = 0. Calculate y.
-53, -7, 2/7
Suppose 3*x**4/5 + 66*x**3/5 + 57*x**2/5 - 126*x/5 = 0. Calculate x.
-21, -2, 0, 1
Factor -5*s**2 - 405*s - 400.
-5*(s + 1)*(s + 80)
Determine b, given that 4*b**4 + 108*b**3 - 228*b**2 + 116*b = 0.
-29, 0, 1
Suppose 4*x**3 + 2468*x**2 + 391552*x + 3326976 = 0. Calculate x.
-304, -9
Find m such that -10*m**3 + 2065*m**2 - 5085*m - 3060 = 0.
-1/2, 3, 204
Factor 2*r**2/5 - 12*r - 62/5.
2*(r - 31)*(r + 1)/5
Factor -2*m**2/17 + 24*m/17 + 378/17.
-2*(m - 21)*(m + 9)/17
Let -4*r**5 - 432*r**4 - 12492*r**3 - 44512*r**2 - 32448*r = 0. Calculate r.
-52, -3, -1, 0
Let -5*y**4 - 20*y**3 + 65*y**2 + 20*y - 60 = 0. Calculate y.
-6, -1, 1, 2
Factor -z**2 - 22*z.
-z*(z + 22)
Factor 4*x**2 + 35560*x + 79032100.
4*(x + 4445)**2
Find j such that 2*j**4/15 + 124*j**3/5 + 1512*j**2 + 142884*j/5 - 500094/5 = 0.
-63, 3
Solve 5*j**3 + 15*j**2 - 80*j + 60 = 0 for j.
-6, 1, 2
Let f**5 + 75*f**4 + 399*f**3 - 1027*f**2 + 552*f = 0. Calculate f.
-69, -8, 0, 1
What is j in -j**5/5 + 14*j**4/5 - 6*j**3/5 - 92*j**2/5 + 7*j/5 + 78/5 = 0?
-2, -1, 1, 3, 13
Factor 2*h**4 + 6*h**3.
2*h**3*(h + 3)
Determine d, given that d**3/8 + 27*d**2/8 + 30*d + 88 = 0.
-11, -8
Factor n**4/6 - n**2/2 + n/3.
n*(n - 1)**2*(n + 2)/6
Factor 5*h**4 + 515*h**3 - 2140*h**2.
5*h**2*(h - 4)*(h + 107)
Factor -4*q**4 + 8*q**3 + 76*q**2 + 112*q + 48.
-4*(q - 6)*(q + 1)**2*(q + 2)
Solve 2*l**4 - 12*l**3 - 34*l**2 + 12*l + 32 = 0 for l.
-2, -1, 1, 8
Factor 45*k**3 - 485*k**2 - 650*k - 120.
5*(k - 12)*(k + 1)*(9*k + 2)
Suppose 83667*x**3 - 157314*x**2 - 19740*x - 600 = 0. What is x?
-10/167, 2
Factor -b**4 + 7*b**3 - 18*b**2 + 20*b - 8.
-(b - 2)**3*(b - 1)
Factor o**5/2 + 2*o**4 - 27*o**3/2 - 27*o**2 + 108*o.
o*(o - 3)**2*(o + 4)*(o + 6)/2
Let 2*b**4/3 - 6*b**3 + 14*b**2 - 38*b/3 + 4 = 0. What is b?
1, 6
Factor 2*d**3/9 + 46*d**2/9 - 100*d/9.
2*d*(d - 2)*(d + 25)/9
Suppose -f**5 - 6*f**4/11 + 3*f**3 + 40*f**2/11 + 12*f/11 = 0. Calculate f.
-1, -6/11, 0, 2
Factor -3*y**2 - 3*y.
-3*y*(y + 1)
What is p in 64*p**5/3 - 976*p**4/3 + 2764*p**3/3 + 2449*p**2/3 + 644*p/3 + 55/3 = 0?
-1/4, 5, 11
Factor -2*q**3/9 - 26*q**2/9 + 58*q/9 - 10/3.
-2*(q - 1)**2*(q + 15)/9
Solve -4*a**3 - 380*a**2 - 9900*a - 40500 = 0.
-45, -5
Find u such that 3*u**5/2 - 9*u**4 - 21*u**3/2 + 84*u**2 + 54*u - 120 = 0.
-2, 1, 4, 5
Factor 2*q**3 + 42*q**2 + 232*q + 192.
2*(q + 1)*(q + 8)*(q + 12)
Find c, given that -2*c**3 - 78*c**2 - 712*c + 792 = 0.
-22, -18, 1
Factor -d**2 + 2086*d - 1087849.
-(d - 1043)**2
Let -4*n**4/3 - 68*n**3/3 - 412*n**2/3 - 356*n - 336 = 0. Calculate n.
-7, -4, -3
Solve 81*m**5 + 648*m**4 - 5319*m**3 - 20010*m**2 + 164700*m - 243000 = 0 for m.
-9, 10/3
Factor c**3 + 360*c**2 + 32400*c.
c*(c + 180)**2
Factor -6*k**3/17 - 6532*k**2/17 - 104704*k - 69632.
-2*(k + 544)**2*(3*k + 2)/17
Let -3*b**5 - 21*b**4 + 33*b**3 + 69*b**2 - 30*b - 48 = 0. Calculate b.
-8, -1, 1, 2
Let 3*z**3 + 663*z**2 = 0. Calculate z.
-221, 0
Factor 2*a**2/3 - 398*a/3 + 132.
2*(a - 198)*(a - 1)/3
Factor 5*g**2 + 50*g.
5*g*(g + 10)
Determine q, given that -10*q**4/7 + 26*q**3/7 + 102*q**2/7 + 86*q/7 + 20/7 = 0.
-1, -2/5, 5
Determine o so that -12*o**2 - 13*o - 1 = 0.
-1, -1/12
Factor 55*u**2 - 3695*u + 670.
5*(u - 67)*(11*u - 2)
Let 8*j**3/11 - 34*j**2/11 + 32*j/11 - 6/11 = 0. What is j?
1/4, 1, 3
Factor -27*y**4/4 - 93*y**3/4 - 117*y**2/4 - 63*y/4 - 3.
-3*(y + 1)**3*(9*y + 4)/4
Factor -o**3 - 2432*o**2 + 4867*o - 2434.
-(o - 1)**2*(o + 2434)
Solve m**4/8 + 3*m**3/8 - m**2/8 - 3*m/8 = 0.
-3, -1, 0, 1
Find n such that 2*n**3/3 - 26*n**2/3 + 20*n = 0.
0, 3, 10
Factor 3*m**4 - 7*m**3 + 2*m**2.
m**2*(m - 2)*(3*m - 1)
Factor 4*h**2 - 132*h - 592.
4*(h - 37)*(h + 4)
Find t, given that -40*t**3/9 - 244*t**2/9 - 16*t/9 + 16/3 = 0.
-6, -1/2, 2/5
Solve -4*x**5 + 36*x**3 + 16*x**2 - 48*x = 0 for x.
-2, 0, 1, 3
Factor 2*f**3/3 + 23*f**2/3 - 68*f/3 + 28/3.
(f - 2)*(f + 14)*(2*f - 1)/3
Factor q**2 + 144*q + 143.
(q + 1)*(q + 143)
Suppose 3*p**3 - 24*p**2 - 777*p - 3234 = 0. Calculate p.
-7, 22
Let -5*t**5/7 + 116*t**4/7 - 738*t**3/7 + 748*t**2/7 - 121*t/7 = 0. What is t?
0, 1/5, 1, 11
Factor 20*w**2/3 + 4*w.
4*w*(5*w + 3)/3
Factor 2*t**3/7