61
Factor 4*c**3/3 + 884*c**2/3 - 2680*c/3 + 1792/3.
4*(c - 2)*(c - 1)*(c + 224)/3
Factor -4*v**4 - 172*v**3 + 176*v**2.
-4*v**2*(v - 1)*(v + 44)
What is y in 2*y**2/13 + 70*y/13 + 192/13 = 0?
-32, -3
Factor z**2/12 - 359*z/12 + 179/6.
(z - 358)*(z - 1)/12
What is s in 3*s**5/2 + 153*s**4 + 993*s**3 - 510*s**2 - 15525*s/2 + 7125 = 0?
-95, -5, 1, 2
Factor 27*t**3/5 + 534*t**2/5 + 1608*t/5 - 384/5.
3*(t + 4)*(t + 16)*(9*t - 2)/5
Let -36*w**5/5 + 2456*w**4/5 + 4496*w**3/5 - 224*w**2 = 0. Calculate w.
-2, 0, 2/9, 70
Let -2*b**3/11 + 2*b**2/11 + 34*b/11 + 30/11 = 0. What is b?
-3, -1, 5
Determine y, given that -28*y**5 + 76*y**4 + 1564*y**3 + 4388*y**2 + 3648*y + 720 = 0.
-3, -1, -2/7, 10
Factor -21*q**2/5 + 174*q/5 - 48/5.
-3*(q - 8)*(7*q - 2)/5
Factor 2*c**2/9 - 50*c/9 - 124/3.
2*(c - 31)*(c + 6)/9
Factor -5*l**4 + 155*l**3 - 1090*l**2 - 2240*l + 7680.
-5*(l - 16)**2*(l - 2)*(l + 3)
Determine h, given that h**5/4 - 19*h**4/4 - 45*h**3/2 + 139*h**2 - 154*h = 0.
-7, 0, 2, 22
Solve -5*k**2/2 + 85*k - 660 = 0 for k.
12, 22
Solve -5*r**4 - 155*r**3 - 250*r**2 + 1160*r = 0 for r.
-29, -4, 0, 2
Factor -2*q**2/9 - 464*q + 8360/9.
-2*(q - 2)*(q + 2090)/9
Factor -2*y**2/11 + 574*y/11 + 576/11.
-2*(y - 288)*(y + 1)/11
Determine f, given that -4*f**5/3 + 28*f**4 - 132*f**3 + 180*f**2 = 0.
0, 3, 15
Factor -2*m**2 + 460*m - 26450.
-2*(m - 115)**2
Suppose -35*k**5 - 80*k**4 + 85*k**3 + 30*k**2 = 0. Calculate k.
-3, -2/7, 0, 1
Factor 3*i**2/4 + 9*i/4 - 15/2.
3*(i - 2)*(i + 5)/4
Factor -4*a**4 - 16*a**3 + 64*a + 64.
-4*(a - 2)*(a + 2)**3
Find f, given that 4*f**5/7 + 50*f**4/7 - 86*f**3/7 - 22*f**2/7 + 82*f/7 - 4 = 0.
-14, -1, 1/2, 1
Solve 15*z**5 - 85*z**4 + 5*z**3 + 225*z**2 + 20*z - 100 = 0 for z.
-1, 2/3, 2, 5
Factor 5*y**5 - 80*y**3 - 190*y**2 - 165*y - 50.
5*(y - 5)*(y + 1)**3*(y + 2)
Factor 3*k**4 - 7278*k**3 + 5890320*k**2 - 1594293888*k + 3165084672.
3*(k - 808)**3*(k - 2)
Suppose a**2 - 110*a + 3025 = 0. What is a?
55
Find q, given that -2*q**5/17 + 10*q**4/17 + 62*q**3/17 + 86*q**2/17 + 36*q/17 = 0.
-2, -1, 0, 9
Factor -10*g**3 - 410*g**2 - 805*g/2 - 100.
-5*(g + 40)*(2*g + 1)**2/2
Solve -i**5 - 16*i**4 + 39*i**3 + 54*i**2 = 0.
-18, -1, 0, 3
Factor i**2 + 13*i/4 + 5/2.
(i + 2)*(4*i + 5)/4
Solve x**2 - 64*x + 1024 = 0.
32
Suppose n**5/2 + 11*n**4/2 - 11*n**3 - 208*n**2 - 192*n = 0. Calculate n.
-8, -1, 0, 6
Suppose r**2/4 - 243*r/4 + 239 = 0. Calculate r.
4, 239
Let x**5 + 134*x**4 - 2*x**3 - 268*x**2 + x + 134 = 0. Calculate x.
-134, -1, 1
Determine j, given that -4*j**3 - 434*j**2/5 - 2288*j/5 + 726/5 = 0.
-11, 3/10
Factor t**2 + 174*t + 173.
(t + 1)*(t + 173)
Factor c**2/2 - 13*c + 105/2.
(c - 21)*(c - 5)/2
Suppose 5*o**5 - 85*o**4 - 30*o**3 + 550*o**2 - 695*o + 255 = 0. What is o?
-3, 1, 17
Determine t, given that 2*t**5/17 + 20*t**4/17 + 48*t**3/17 + 44*t**2/17 + 14*t/17 = 0.
-7, -1, 0
Solve u**3/7 - 85*u**2/7 + 2147*u/7 - 16967/7 = 0.
19, 47
Solve u**4 - 4*u**3 - 11*u**2 - 6*u = 0 for u.
-1, 0, 6
What is h in -99*h**5/2 - 114*h**4 - 51*h**3 + 36*h**2 + 33*h/2 - 6 = 0?
-1, 1/3, 4/11
Let u**4 + 37*u**3/5 + 49*u**2/5 - 61*u/5 - 6 = 0. Calculate u.
-5, -3, -2/5, 1
Suppose -2*d**5/3 - 60*d**4 + 1136*d**3/3 - 516*d**2 - 378*d + 576 = 0. Calculate d.
-96, -1, 1, 3
Factor 3*i**3 - 3*i**2 - 51*i - 45.
3*(i - 5)*(i + 1)*(i + 3)
Let 2*t**4/11 + 2*t**3 - 50*t**2/11 + 26*t/11 = 0. Calculate t.
-13, 0, 1
Factor -2*z**5 + 14*z**4 - 24*z**3 - 32*z**2 + 128*z - 96.
-2*(z - 3)*(z - 2)**3*(z + 2)
Find j such that -5*j**5 - 105*j**4 + 155*j**3 + 1045*j**2 + 1230*j + 440 = 0.
-22, -1, 4
Factor -w**3/2 + 47*w**2/2 + 74*w + 50.
-(w - 50)*(w + 1)*(w + 2)/2
Factor 74*y**2 - 36*y.
2*y*(37*y - 18)
Factor u**5/8 + 3*u**4/2 + 23*u**3/4 + 15*u**2/2 + 25*u/8.
u*(u + 1)**2*(u + 5)**2/8
Suppose 36*g**4 - 640*g**3 - 1872*g**2 + 5376*g + 1280 = 0. Calculate g.
-4, -2/9, 2, 20
Solve -14*f**4 + 326*f**3 - 2220*f**2 + 3688*f - 880 = 0.
2/7, 2, 10, 11
Solve -3*d**3 - 378*d**2 - 735*d + 1116 = 0.
-124, -3, 1
Let -2*a**3/11 + 4*a**2 + 146*a/11 + 100/11 = 0. What is a?
-2, -1, 25
Solve -2*y**2 + 8*y + 24 = 0.
-2, 6
Factor 17*j**5 + 32*j**4 + 13*j**3 - 2*j**2.
j**2*(j + 1)**2*(17*j - 2)
Solve 5*y**3/4 + 55*y**2 + 2525*y/4 + 1155/2 = 0 for y.
-22, -21, -1
Let -2*f**4/9 - 236*f**3/9 - 26*f**2 = 0. Calculate f.
-117, -1, 0
Let 12*d**4/5 + 416*d**3/5 + 4412*d**2/5 + 2712*d + 1440 = 0. Calculate d.
-15, -4, -2/3
Factor -5*c**2 - 105*c - 270.
-5*(c + 3)*(c + 18)
Determine k so that 3*k**3 + 1461*k**2 + 177144*k - 178608 = 0.
-244, 1
Suppose 2*j**2/7 - 612*j + 327726 = 0. What is j?
1071
Solve -4*f**3 + 12*f**2 - 12*f + 4 = 0.
1
Let -20*y**4 + 412*y**3/3 + 176*y**2 + 128*y/3 = 0. Calculate y.
-4/5, -1/3, 0, 8
Factor b**2 - 139*b - 870.
(b - 145)*(b + 6)
Solve -n**4/9 - 439*n**3/9 - 47954*n**2/9 + 51040*n/9 + 96800/3 = 0.
-220, -2, 3
Solve -2*b**3 + 3316*b**2 - 3314*b = 0 for b.
0, 1, 1657
Factor -9*c**3/5 + 1231*c**2/5 + 274*c/5.
-c*(c - 137)*(9*c + 2)/5
Factor 2*o**2/9 + 32*o/9 + 56/9.
2*(o + 2)*(o + 14)/9
Factor 5*z**2 - 30*z + 40.
5*(z - 4)*(z - 2)
Solve -3*h**3 + 669*h**2 + 672*h = 0.
-1, 0, 224
What is t in t**2 + 1147*t - 1148 = 0?
-1148, 1
Factor 5*b**5 + 225*b**4 + 2415*b**3 - 2645*b**2.
5*b**2*(b - 1)*(b + 23)**2
Solve 3*z**3 + 105*z**2 + 501*z - 609 = 0.
-29, -7, 1
Suppose -4*p**2 - 332*p - 328 = 0. What is p?
-82, -1
Factor -3*f**3 - 48*f**2 + 51*f.
-3*f*(f - 1)*(f + 17)
Find h such that -3*h**2 + 4989*h + 4992 = 0.
-1, 1664
Factor -3*r**4 + 765*r**3 - 1518*r**2.
-3*r**2*(r - 253)*(r - 2)
Let -10443*n**4/8 - 1593*n**3/4 - 243*n**2/8 = 0. What is n?
-9/59, 0
Factor 5*f**4 - 120*f**3 + 915*f**2 - 2200*f.
5*f*(f - 11)*(f - 8)*(f - 5)
Find t, given that -3*t**2 - 84*t = 0.
-28, 0
Determine r, given that r**2 + 5*r - 14 = 0.
-7, 2
Solve 4*g**2 + 208*g + 588 = 0 for g.
-49, -3
Factor -t**2/3 + 8*t/3 - 4.
-(t - 6)*(t - 2)/3
Let -2*q**2/5 - 32*q/5 + 34/5 = 0. Calculate q.
-17, 1
Suppose z**3/5 - 128*z**2/5 - 259*z/5 - 26 = 0. What is z?
-1, 130
Determine h so that 3*h**2 + 51*h + 216 = 0.
-9, -8
Factor k**3 - 21*k**2 - 45*k - 23.
(k - 23)*(k + 1)**2
Determine q so that 4*q**3/3 - 144*q**2 + 3740*q + 24200/3 = 0.
-2, 55
Solve 4*x**3 + 92*x**2 + 640*x + 1200 = 0.
-10, -3
Factor -2*n**3/17 - 6*n**2/17 - 4*n/17.
-2*n*(n + 1)*(n + 2)/17
Factor -2*j**2 + 32*j - 120.
-2*(j - 10)*(j - 6)
What is y in -3*y**4 + 51*y**3 - 108*y**2 - 1140*y + 1200 = 0?
-4, 1, 10
Factor 2*v**2/3 - 322*v/3 + 1372.
2*(v - 147)*(v - 14)/3
Factor 3*z**4 - 93*z**3 + 897*z**2 - 2535*z.
3*z*(z - 13)**2*(z - 5)
Factor s**4 + 24*s**3 - 25*s**2.
s**2*(s - 1)*(s + 25)
Factor -h**3/5 + 59*h**2 - 2022*h/5 + 1728/5.
-(h - 288)*(h - 6)*(h - 1)/5
Solve 5*t**4 + 120*t**3 + 1025*t**2 + 3570*t + 3920 = 0.
-8, -7, -2
Solve -132*c**3 - 196*c**2 + 392*c - 64 = 0 for c.
-8/3, 2/11, 1
Solve -2*u**3/5 + 342*u**2/5 - 19494*u/5 + 370386/5 = 0 for u.
57
Solve n**5 + n**4 - 6*n**3 = 0 for n.
-3, 0, 2
Suppose 4*f**5 - 16*f**4 - 76*f**3 - 56*f**2 = 0. Calculate f.
-2, -1, 0, 7
Let p**4 + 1273*p**3 + 539325*p**2 + 75681875*p - 153531250 = 0. Calculate p.
-425, 2
Find z, given that 3*z**2 - 3*z = 0.
0, 1
Let q**3/5 + 11*q**2/5 - 46*q/5 - 56/5 = 0. Calculate q.
-14, -1, 4
Find w, given that 686*w**5 - 1470*w**4 - 4340*w**3 - 2840*w**2 - 720*w - 64 = 0.
-1, -2/7, 4
Factor -2*j**3/11 + 36*j**2/11 + 2*j/11 - 36/11.
-2*(j - 18)*(j - 1)*(j + 1)/11
Suppose -3*x**3 - 51*x**2 + 528*x + 4356 = 0. Calculate x.
-22, -6, 11
Factor -2*s**2 + 176*s + 178.
-2*(s - 89)*(s + 1)
Let -5*o**2 - 6440*o - 2073680 = 0. What is o?
-644
Suppose 2*w**2/15 + 256*w/15 = 0. Calculate w.
-128, 0
What is t in -t**2/2 + 221*t - 48841/2 = 0?
221
Factor x**5/2 - 3*x**4/2 - 8*x**3 - 6*x**2.
x**2*(x - 6)*(x + 1)*(x + 2)/2
Determine g, given that -g**2/10 + 13*g/10 + 3 = 0.
-2, 15
Let 2*h**2/3 + 224*h/3 - 390 = 0. What is h?
-117, 5
What is p in -3*p**4/4 + 21*p**3 + 2115*p**2/4 - 21*p - 528 = 0?
-16, -1, 1, 44
Factor -2*k**2/3 + 14*k/9.
-2*k*(3*k - 7)/9
Factor -4*d**2 - 1616*d - 163216.
-4*(d + 202)**2
Factor -2*r**4 + 16*r**3 + 74*r**2 - 88*r.
-2*r*(r - 11)*(r - 1)*(r + 4)
Determine r, given that -14*r**3 + 60*r**2 + 14*r - 60 = 0.
-1, 1, 30/7
Factor 24*t**3/7 + 255*t**2/7 + 438*t/7 + 207/7.
3*(t + 1)**2*(8*t + 69)/7
Solve -s**5/5 + 33*s**4/5 - 28*s**3/5 - 132*s**2/5 + 128*s/5 = 0.
-2