37*q - 336.
-(q + 16)*(q + 21)
Find r, given that r**2 - 223*r - 224 = 0.
-1, 224
What is d in 10*d**4 - 287*d**3/3 + 395*d**2/3 - 154*d/3 + 16/3 = 0?
1/6, 2/5, 1, 8
Suppose -3*y**4 + 6*y**3 + 108*y**2 - 486*y + 567 = 0. What is y?
-7, 3
Determine o, given that 3*o**4 - 18*o**3 + 36*o**2 - 24*o = 0.
0, 2
Find h, given that 2*h**3/7 - 492*h**2/7 + 70*h = 0.
0, 1, 245
Suppose -16*z**5 + 164*z**4 - 312*z**3 + 196*z**2 - 32*z = 0. Calculate z.
0, 1/4, 1, 8
Solve -n**5 + 13*n**3 - 16*n**2 - 12*n + 16 = 0.
-4, -1, 1, 2
Factor -225*n**3/7 - 456*n**2/7 - 237*n/7 - 6/7.
-3*(n + 1)**2*(75*n + 2)/7
Let 3*b**2 - 90*b - 297 = 0. What is b?
-3, 33
Determine c so that -2*c**5 - 122*c**4 + 642*c**3 - 1174*c**2 + 920*c - 264 = 0.
-66, 1, 2
Solve q**5 + 13*q**4 - 29*q**3 + 15*q**2 = 0.
-15, 0, 1
Factor -v**2 - 8262*v - 17065161.
-(v + 4131)**2
Solve -2*p**4 + 36*p**3 - 90*p**2 - 8*p + 120 = 0.
-1, 2, 15
Find w, given that -4*w**5 - 152*w**4 - 1824*w**3 - 6120*w**2 + 8100*w = 0.
-15, -9, 0, 1
What is x in 14*x**2/11 + 228*x/11 + 64/11 = 0?
-16, -2/7
Let 4*l**2 + 3040*l - 3044 = 0. What is l?
-761, 1
Find d such that 4*d**4 + 64*d**3 + 180*d**2 - 648*d = 0.
-9, 0, 2
Factor -w**3/2 + 23*w**2/2 - 31*w + 20.
-(w - 20)*(w - 2)*(w - 1)/2
Solve -2*v**4/13 - 6*v**3/13 + 10*v**2/13 + 6*v/13 - 8/13 = 0 for v.
-4, -1, 1
Let -q**3/3 - 74*q**2/3 - 145*q/3 - 24 = 0. What is q?
-72, -1
Factor -s**2 - 42*s - 441.
-(s + 21)**2
Factor 2*p**3/11 + 360*p**2/11 + 15834*p/11 - 33124/11.
2*(p - 2)*(p + 91)**2/11
Determine s so that 4*s**5 - 252*s**4 - 1612*s**3 - 3012*s**2 - 1656*s = 0.
-3, -2, -1, 0, 69
Factor -6*b**3/5 + 2034*b**2/5 - 175392*b/5 + 508032/5.
-6*(b - 168)**2*(b - 3)/5
Suppose -g**5/2 + 9*g**4/4 + g**3/2 - 39*g**2/4 + 9*g/2 = 0. Calculate g.
-2, 0, 1/2, 3
What is r in r**3/4 - 55*r**2/4 + 107*r/4 - 53/4 = 0?
1, 53
Find i such that i**4 - 6*i**3 + 4*i**2 + 24*i - 32 = 0.
-2, 2, 4
Factor -r**5/3 - 8*r**4/3 + 29*r**3 - 250*r**2/3 + 292*r/3 - 40.
-(r - 2)**3*(r - 1)*(r + 15)/3
Factor 3*k**2/5 + 10878*k/5 + 9860907/5.
3*(k + 1813)**2/5
Factor -5*t**4 - 170*t**3 + 815*t**2 + 2120*t + 1140.
-5*(t - 6)*(t + 1)**2*(t + 38)
Factor -5*r**3 + 260*r**2 + 5*r - 260.
-5*(r - 52)*(r - 1)*(r + 1)
What is z in 3*z**4 - 13*z**3 - 13*z**2 + 13*z + 10 = 0?
-1, -2/3, 1, 5
Suppose 2*y**3/5 - 22*y**2/5 - 16*y - 56/5 = 0. Calculate y.
-2, -1, 14
Determine i, given that -512*i**5 + 41920*i**4 + 47592*i**3 + 17901*i**2 + 2241*i = 0.
-3/8, 0, 83
Factor 4*i**3/5 - 4*i**2/5 - 8*i/5.
4*i*(i - 2)*(i + 1)/5
Find n, given that 4*n**3/3 - 4*n**2/3 - 644*n/3 - 980 = 0.
-7, 15
Factor 2*b**2/7 + 9036*b/7 + 10206162/7.
2*(b + 2259)**2/7
Factor -88*h**3 + 356*h**2 + 200*h.
-4*h*(2*h + 1)*(11*h - 50)
Find o, given that -4*o**5/5 - 4*o**4/5 + 72*o**3/5 - 56*o**2/5 - 68*o/5 + 12 = 0.
-5, -1, 1, 3
Factor -v**4 - 7*v**3 - 9*v**2 + 27*v + 54.
-(v - 2)*(v + 3)**3
Find t such that -25*t**2 - 1135*t - 450 = 0.
-45, -2/5
Factor 3*m**4 - 30*m**3 + 24*m**2 + 30*m - 27.
3*(m - 9)*(m - 1)**2*(m + 1)
Suppose 2*s**2 + 4*s - 6 = 0. What is s?
-3, 1
Suppose -d**2/7 - 354*d/7 - 31329/7 = 0. What is d?
-177
Factor -2*m**3/9 - 2*m**2 + 14*m/3 + 490/9.
-2*(m - 5)*(m + 7)**2/9
Determine s so that 4*s**2/5 - 1176*s - 11776/5 = 0.
-2, 1472
Solve 2*t**3/5 + 414*t**2/5 + 22422*t/5 + 20402 = 0.
-101, -5
Determine f, given that 2*f**3/3 - 158*f**2/3 - 2*f/3 + 158/3 = 0.
-1, 1, 79
Solve -v**3/3 - 26*v**2/3 + 116*v/3 - 40 = 0 for v.
-30, 2
Solve -b**2/4 - 8*b - 247/4 = 0.
-19, -13
Determine n so that 2*n**3/5 + 4*n**2/5 - 48*n/5 = 0.
-6, 0, 4
Suppose m**2/3 + 2*m - 7/3 = 0. What is m?
-7, 1
Factor w**3 + 77*w**2 - 166*w - 632.
(w - 4)*(w + 2)*(w + 79)
Let -2*f**4/9 + 14*f**3/9 - 8*f**2/9 - 8*f/3 = 0. What is f?
-1, 0, 2, 6
Factor 10*l**2/7 - 1648*l/7 - 1992/7.
2*(l - 166)*(5*l + 6)/7
Factor -107*d**3 + 854*d**2 - 1696*d - 32.
-(d - 4)**2*(107*d + 2)
Let 2*z**2 + 30272*z + 114549248 = 0. What is z?
-7568
Find h such that 3*h**5 - 102*h**4 + 858*h**3 - 2388*h**2 + 2595*h - 966 = 0.
1, 2, 7, 23
Factor -4*f**4 + 368*f**3 - 1757*f**2 + 1483*f - 348.
-(f - 87)*(f - 4)*(2*f - 1)**2
Factor -4*p**2 + 360*p + 1116.
-4*(p - 93)*(p + 3)
Factor 2*b**4/5 + 14*b**3/5 - 12*b**2.
2*b**2*(b - 3)*(b + 10)/5
Suppose -49*m**3/4 + 945*m**2/4 - 267*m/4 + 19/4 = 0. Calculate m.
1/7, 19
Factor 35*b**3 + 95*b**2 - 1430*b + 400.
5*(b - 5)*(b + 8)*(7*b - 2)
Find d, given that 2*d**3/9 + 128*d**2/9 + 238*d/3 + 116 = 0.
-58, -3
Suppose 2*k**4/19 - 42*k**3/19 + 162*k**2/19 + 298*k/19 - 420/19 = 0. Calculate k.
-2, 1, 7, 15
Determine y, given that 185*y**4 + 1125*y**3 + 2125*y**2 + 1275*y + 90 = 0.
-3, -2, -1, -3/37
Suppose 2*n**3 + 1620*n**2 + 437400*n + 39366000 = 0. What is n?
-270
Factor 2*a**4/9 + 16*a**3/3 + 46*a**2 + 1504*a/9 + 640/3.
2*(a + 3)*(a + 5)*(a + 8)**2/9
Find k such that k**2/3 + 176*k/3 + 7744/3 = 0.
-88
Factor -2*m**2 + 2*m + 544.
-2*(m - 17)*(m + 16)
Factor 4*f**3/7 + 3148*f**2/7 + 88256*f - 620944/7.
4*(f - 1)*(f + 394)**2/7
Determine w so that -15*w**2 + 50*w + 160 = 0.
-2, 16/3
Find z, given that 2*z**5 - 2*z**4 - 8*z**3 + 8*z**2 = 0.
-2, 0, 1, 2
Factor 3*v**3 - 402*v**2 + 3072*v - 6048.
3*(v - 126)*(v - 4)**2
Let -100*v**5 + 360*v**4 + 9116*v**3 + 14928*v**2 - 41920*v + 19200 = 0. Calculate v.
-5, 4/5, 12
Find o such that -4*o**3/5 - 364*o**2/5 - 8281*o/5 = 0.
-91/2, 0
Suppose 3*d**5/2 - 99*d**4/4 + 279*d**3/4 - 69*d**2/4 - 117*d/4 = 0. What is d?
-1/2, 0, 1, 3, 13
Factor 3*c**4 - 96*c**3 + 765*c**2 + 96*c - 768.
3*(c - 16)**2*(c - 1)*(c + 1)
Factor 4*v**3 - 1796*v**2 + 202496*v - 200704.
4*(v - 224)**2*(v - 1)
Factor f**2/8 - 2441*f/8 + 305.
(f - 2440)*(f - 1)/8
Factor -3*p**4 + 12*p**3 + 36*p**2 - 96*p - 192.
-3*(p - 4)**2*(p + 2)**2
Factor 2*t**2/9 + 34*t/9 + 104/9.
2*(t + 4)*(t + 13)/9
Determine v, given that 36*v**4 + 1340*v**3 + 296*v**2 = 0.
-37, -2/9, 0
Factor -d**2 + 15048*d - 56610576.
-(d - 7524)**2
Factor -4*m**2 + 8048*m + 16112.
-4*(m - 2014)*(m + 2)
Factor -4*l**2/5 + 608*l/5 - 1788/5.
-4*(l - 149)*(l - 3)/5
Factor 2*j**2/5 - 22*j + 108/5.
2*(j - 54)*(j - 1)/5
Factor -3*r**2 - 147*r - 1632.
-3*(r + 17)*(r + 32)
Factor f**2/2 + 43*f/2 - 234.
(f - 9)*(f + 52)/2
What is k in -5*k**5 + 210*k**4 - 2190*k**3 - 640*k**2 + 7035*k - 4410 = 0?
-2, 1, 21
What is a in a**4/8 + 9*a**3/4 + 97*a**2/8 + 18*a + 8 = 0?
-8, -1
Suppose -3*f**3 + 123*f**2 + 3*f - 123 = 0. Calculate f.
-1, 1, 41
Factor 3*z**3 + 3714*z**2 + 1145760*z - 2306400.
3*(z - 2)*(z + 620)**2
Factor -3*h**3/5 + 141*h**2/5 - 1584*h/5 - 1728/5.
-3*(h - 24)**2*(h + 1)/5
Factor r**4/5 + 41*r**3/5 - 498*r**2/5 + 684*r/5 + 3672/5.
(r - 6)**2*(r + 2)*(r + 51)/5
Suppose 5*q**3 + 1640*q**2 - 13360*q + 26880 = 0. Calculate q.
-336, 4
Factor 22*u**2 + 26*u + 4.
2*(u + 1)*(11*u + 2)
Suppose -20*i**3 + 962*i**2 + 878*i + 196 = 0. Calculate i.
-1/2, -2/5, 49
Suppose -c**4/4 + c**3/2 - c**2/4 = 0. Calculate c.
0, 1
Factor 5*y**3 + 15*y**2 - 120*y + 140.
5*(y - 2)**2*(y + 7)
Solve -2*h**5/13 - 6*h**4/13 + 8*h**2/13 = 0.
-2, 0, 1
Factor -m**5/7 + 16*m**3/7 - 38*m**2/7 + 33*m/7 - 10/7.
-(m - 2)*(m - 1)**3*(m + 5)/7
Find z such that 3*z**4/5 - 21*z**3/5 + 9*z**2 - 39*z/5 + 12/5 = 0.
1, 4
Factor -3*i**2/4 - 525*i/4 - 387.
-3*(i + 3)*(i + 172)/4
Let 3*z**2/7 + 318*z/7 + 45 = 0. What is z?
-105, -1
Let -5*t**5 - 125*t**4 - 830*t**3 - 480*t**2 + 1440*t = 0. What is t?
-12, -2, 0, 1
Solve 2*m**3 - 144*m**2 + 142*m = 0 for m.
0, 1, 71
Let 3*n**4/4 + 21*n**3/2 - 93*n**2/4 + 12*n = 0. What is n?
-16, 0, 1
Factor -5*f**4 + 10*f**3 + 20*f**2 - 40*f.
-5*f*(f - 2)**2*(f + 2)
Suppose q**3/4 + 1265*q**2/4 - 1268*q + 1269 = 0. Calculate q.
-1269, 2
Let 16*i**4 - 132*i**3 - 288*i**2 + 80*i = 0. What is i?
-2, 0, 1/4, 10
Factor -4*c**2 + 212*c - 2080.
-4*(c - 40)*(c - 13)
Factor -42*k**4 + 1760*k**3 - 18354*k**2 - 1764*k.
-2*k*(k - 21)**2*(21*k + 2)
Solve 3*z**3 + 200*z**2 + 1212*z + 720 = 0.
-60, -6, -2/3
What is m in 4*m**4 - 26*m**3 - 16*m**2 + 14*m = 0?
-1, 0, 1/2, 7
Determine j so that 4*j**2/5 + 200*j + 12500 = 0.
-125
Let p**3 - 12*p**2 = 0. Calculate p.
0, 12
Suppose q**3 - 144*q**2 + 6912*q - 110592 = 0. What is q?
48
Let -147*n**4/5 + 7266*n**3/5 - 16479*n**2 - 48876*n/5 - 7068/5 = 0. What is n?
-2/7, 19, 31
Suppose 45*r**4/7 + 453*r**3/7 + 627*r**2/7 - 909*r/7 + 216/7 = 0. Calculate r.
-8, -3, 1/3,