Suppose 4*x**2/3 - 2024*x/3 + 256036/3 = 0. Calculate x.
253
Suppose a**4/4 - a**3/2 - 19*a**2/4 + 2*a + 15 = 0. Calculate a.
-3, -2, 2, 5
Solve -400*i**3 - 235*i**2 - 30*i = 0.
-2/5, -3/16, 0
Let -b**4 - b**3 + b**2 + b = 0. Calculate b.
-1, 0, 1
Factor 4*j**5/3 + 124*j**4 - 380*j**3 + 1148*j**2/3 - 128*j.
4*j*(j - 1)**3*(j + 96)/3
Factor -h**4 + 3*h**3 + 3*h**2 - 7*h - 6.
-(h - 3)*(h - 2)*(h + 1)**2
Solve 3*n**3/5 + 6*n**2/5 - 27*n/5 - 54/5 = 0 for n.
-3, -2, 3
Solve 3*l**4 + 27*l**3 + 21*l**2 - 27*l - 24 = 0 for l.
-8, -1, 1
Factor -3*o**3 - 1020*o**2 - 85671*o + 175446.
-3*(o - 2)*(o + 171)**2
Factor -3*m**3 - 39*m**2 - 105*m + 147.
-3*(m - 1)*(m + 7)**2
Let 2*y**5 + 32*y**4 - 36*y**3 - 32*y**2 + 34*y = 0. What is y?
-17, -1, 0, 1
Factor 5*t**4 - 900*t**3 + 40500*t**2.
5*t**2*(t - 90)**2
Factor -2*b**2 - 14*b.
-2*b*(b + 7)
Factor -5*m**2 + 195*m + 200.
-5*(m - 40)*(m + 1)
Solve -9*k**4 + 132*k**3 + 909*k**2 + 1008*k + 240 = 0 for k.
-4, -1, -1/3, 20
Determine x, given that -x**5/10 + x**4/5 + 13*x**3/10 + x**2 = 0.
-2, -1, 0, 5
Factor -5*p**5 + 15*p**4 + 110*p**3 + 190*p**2 + 135*p + 35.
-5*(p - 7)*(p + 1)**4
Factor o**3 - 16*o**2 + 29*o - 14.
(o - 14)*(o - 1)**2
What is w in -4*w**2 + 1356*w - 5360 = 0?
4, 335
Suppose -5*c**2/2 - 5*c = 0. Calculate c.
-2, 0
What is j in -j**2/3 + 10*j - 75 = 0?
15
Suppose 2*o**2/7 + 38*o/7 + 176/7 = 0. Calculate o.
-11, -8
Suppose 10*y**5 - 36*y**4 - 36*y**3 + 112*y**2 + 138*y + 36 = 0. Calculate y.
-1, -2/5, 3
Factor -4*c**2/3 + 11*c/2 - 2/3.
-(c - 4)*(8*c - 1)/6
Factor 3*c**2/7 - 285*c/7 + 156.
3*(c - 91)*(c - 4)/7
Solve -3*w**2/7 + 939*w/7 + 270 = 0 for w.
-2, 315
Find a, given that 2*a**3 - 6*a**2 - 36*a = 0.
-3, 0, 6
Factor 125*r**3 - 1125*r**2 - 20*r + 180.
5*(r - 9)*(5*r - 2)*(5*r + 2)
What is v in v**3 - 286*v**2 + 1132*v - 1128 = 0?
2, 282
Factor -2*t**5/3 + 1048*t**4/3 - 136234*t**3/3 - 276676*t**2/3.
-2*t**2*(t - 263)**2*(t + 2)/3
Factor -4*n**2 - 60*n + 216.
-4*(n - 3)*(n + 18)
What is j in -4*j**3/3 - 208*j**2/9 + 124*j/3 - 152/9 = 0?
-19, 2/3, 1
Factor 245*n**3 - 805*n**2 + 215*n - 15.
5*(n - 3)*(7*n - 1)**2
Factor w**2 + 80*w + 1600.
(w + 40)**2
Let -2*d**4/19 - 46*d**3/19 - 120*d**2/19 + 1736*d/19 - 1568/19 = 0. What is d?
-14, 1, 4
Determine a, given that -5*a**2 + 125 = 0.
-5, 5
Find w such that -w**2/5 - 19*w/5 - 18/5 = 0.
-18, -1
Determine v, given that -4*v**3/9 + 64*v**2/9 + 304*v/9 + 320/9 = 0.
-2, 20
Factor -f**4/4 + 2*f**3 - 13*f**2/4 + 3*f/2.
-f*(f - 6)*(f - 1)**2/4
Find o such that o**5/2 - 11*o**4/2 + 33*o**3/2 - 9*o**2/2 - 27*o = 0.
-1, 0, 3, 6
Let -2*y**4/5 - 1944*y**3/5 - 708588*y**2/5 - 114791256*y/5 - 6973568802/5 = 0. Calculate y.
-243
Find g, given that -2209*g**5/2 - 17766*g**4 + 34541*g**3/2 + 1566*g**2 + 34*g = 0.
-17, -2/47, 0, 1
Factor -m**4/6 + 2*m**3/3 + m**2 - 2*m/3 - 5/6.
-(m - 5)*(m - 1)*(m + 1)**2/6
Factor 2*i**4/3 - 4*i**3 - 6*i**2 + 28*i/3.
2*i*(i - 7)*(i - 1)*(i + 2)/3
Find t such that -10*t**4/11 + 96*t**3/11 - 190*t**2/11 + 48*t/11 + 56/11 = 0.
-2/5, 1, 2, 7
Determine n so that -2*n**5/7 + 44*n**4/7 - 138*n**3/7 - 1144*n**2/7 - 1352*n/7 = 0.
-2, 0, 13
Factor -2*w**4/3 + 4*w**3/3 + 22*w**2/3 - 8*w.
-2*w*(w - 4)*(w - 1)*(w + 3)/3
Factor b**2 + 13*b - 198.
(b - 9)*(b + 22)
Suppose 4*t**5/3 + 20*t**4/3 - 16*t**3 - 320*t**2/3 - 256*t/3 = 0. Calculate t.
-4, -1, 0, 4
Determine d, given that -d**4/5 + 41*d**3/5 + 321*d**2/5 + 711*d/5 + 432/5 = 0.
-3, -1, 48
Factor 3*m**4 - 60*m**3 - 3*m**2 + 60*m.
3*m*(m - 20)*(m - 1)*(m + 1)
Factor g**4/7 - 8*g**3/7 - 1152*g**2/7 + 26624*g/7 - 163840/7.
(g - 16)**3*(g + 40)/7
Suppose -4*m**5 - 472*m**4 - 18712*m**3 - 254592*m**2 - 200772*m + 474552 = 0. What is m?
-39, -2, 1
Suppose -u**4/5 - 27*u**3/5 - 137*u**2/5 + 123*u - 90 = 0. Calculate u.
-15, 1, 2
Solve -k**2/6 + 53*k/2 - 310/3 = 0 for k.
4, 155
Solve -5*v**4 + 126*v**3 - 12*v**2 - 334*v + 225 = 0.
-9/5, 1, 25
What is a in -4*a**5 + 97*a**4 - 684*a**3 + 1133*a**2 - 242*a = 0?
0, 1/4, 2, 11
Solve 5*w**5/2 + 29*w**4/2 + 24*w**3 - 4*w**2 - 40*w - 24 = 0 for w.
-2, -1, 6/5
Find r, given that -r**2/2 - 890*r/3 + 198 = 0.
-594, 2/3
Let -850*q**2/7 + 846*q/7 + 4/7 = 0. Calculate q.
-2/425, 1
What is v in v**4 + 12*v**3 + 7*v**2 - 48*v - 44 = 0?
-11, -2, -1, 2
Factor 4*p**3 + 4*p**2 - 36*p - 36.
4*(p - 3)*(p + 1)*(p + 3)
Factor q**5 + 7*q**4 + 14*q**3 + 8*q**2.
q**2*(q + 1)*(q + 2)*(q + 4)
Factor -3*j**3/7 - 234*j**2/7 - 4563*j/7.
-3*j*(j + 39)**2/7
Suppose -3*c**3 - 21*c**2 + 630*c + 648 = 0. Calculate c.
-18, -1, 12
Let 2*y**5 - 58*y**4 + 562*y**3 - 1958*y**2 + 1452*y = 0. What is y?
0, 1, 6, 11
Factor -10*z**3 + 106*z**2 + 164*z + 48.
-2*(z - 12)*(z + 1)*(5*z + 2)
Solve 3*a**5/7 + 9*a**4/7 + 3*a**3/7 - 9*a**2/7 - 6*a/7 = 0 for a.
-2, -1, 0, 1
Determine a so that -2*a**4/3 - 14*a**3 + 14*a**2/3 + 94*a - 84 = 0.
-21, -3, 1, 2
Factor -4*q**2 + 12*q + 40.
-4*(q - 5)*(q + 2)
Solve -5*v**4 - 50*v**3 + 15*v**2 + 160*v + 100 = 0 for v.
-10, -1, 2
Find g such that -3*g**2 + 4824*g - 1939248 = 0.
804
Factor -2*a**5 - 226*a**4 + 228*a**3.
-2*a**3*(a - 1)*(a + 114)
Factor -2*i**2/9 - 142*i/9 - 560/3.
-2*(i + 15)*(i + 56)/9
Factor -w**5/5 - 2*w**4/5 + 2*w**2/5 + w/5.
-w*(w - 1)*(w + 1)**3/5
Find h, given that 2*h**4/11 - 10*h**3/11 + 18*h**2/11 - 14*h/11 + 4/11 = 0.
1, 2
Solve 36*w**3 - 1536*w**2 - 2096*w - 704 = 0.
-2/3, 44
Factor 2*b**3 - 102*b**2 - 666*b - 1026.
2*(b - 57)*(b + 3)**2
Suppose -k**4/10 + k**3/2 + 4*k**2/5 - 6*k/5 = 0. Calculate k.
-2, 0, 1, 6
Factor 4*s**2 + 608*s - 8580.
4*(s - 13)*(s + 165)
Factor -2*q**3/13 - 1180*q**2/13 + 182*q - 1184/13.
-2*(q - 1)**2*(q + 592)/13
Find n such that -n**3/11 - 14*n**2/11 + 31*n/11 - 16/11 = 0.
-16, 1
Determine u, given that 4*u**3 + 116*u**2 + 800*u + 1600 = 0.
-20, -5, -4
Factor -2*o**3 - 58*o**2 + 122*o - 62.
-2*(o - 1)**2*(o + 31)
Solve 2*r**2/7 - 512*r/7 - 1032/7 = 0 for r.
-2, 258
Solve -20*t**3 + 332*t**2 - 1464*t + 1152 = 0 for t.
1, 6, 48/5
Factor 3*m**2/5 - 102*m/5 + 99/5.
3*(m - 33)*(m - 1)/5
Factor 3*g**3 + 183*g**2 + 180*g.
3*g*(g + 1)*(g + 60)
Let 4*t**2 - 72*t = 0. What is t?
0, 18
Suppose -15*q**2/2 + 161*q/4 + 11/2 = 0. What is q?
-2/15, 11/2
Factor 7*x**4/4 + 3*x**3 - 25*x**2/4 + 3*x/2.
x*(x - 1)*(x + 3)*(7*x - 2)/4
Factor 6*n**2 + 37173*n - 18588.
3*(n + 6196)*(2*n - 1)
Let 3*b**5 + 27*b**4 + 60*b**3 - 60*b**2 - 288*b - 192 = 0. Calculate b.
-4, -2, -1, 2
What is k in 5*k**3 + 25*k**2 - 65*k + 35 = 0?
-7, 1
Determine n so that 8*n**3/13 - 6*n/13 - 2/13 = 0.
-1/2, 1
Find f such that -4*f**3 + 212*f**2/3 + 544*f/3 + 320/3 = 0.
-4/3, -1, 20
Determine l, given that -3*l**3/7 + 258*l**2/7 + 3*l/7 - 258/7 = 0.
-1, 1, 86
Suppose 2*c**3/15 - 286*c**2/15 - 586*c/15 + 58 = 0. Calculate c.
-3, 1, 145
Let 49*f**5/2 + 70*f**4 - 6*f**3 - 80*f**2 + 32*f = 0. Calculate f.
-2, 0, 4/7
Factor p**2/6 - 19*p/3 - 13/2.
(p - 39)*(p + 1)/6
Factor 3*w**3/5 - 2493*w**2/5 + 690561*w/5 - 63761799/5.
3*(w - 277)**3/5
Let -124*d**3 + 178*d**2 - 50*d - 4 = 0. Calculate d.
-2/31, 1/2, 1
Factor 28*t**2 + 13992*t - 4000.
4*(t + 500)*(7*t - 2)
Find v, given that -2*v**4/7 + 28*v**3 - 5178*v**2/7 + 2632*v - 17672/7 = 0.
2, 47
Determine d so that 3*d**2 - 951*d/4 + 237/4 = 0.
1/4, 79
Factor -4*f**2 - 104*f - 480.
-4*(f + 6)*(f + 20)
Find g, given that -10*g**5 - 92*g**4 - 8*g**3/5 + 688*g**2 - 2624*g/5 + 512/5 = 0.
-8, -4, 2/5, 2
Determine z so that -40*z**3 + 255*z**2 - 410*z + 120 = 0.
3/8, 2, 4
Factor -2*l**2/9 - 50*l/9 + 52/9.
-2*(l - 1)*(l + 26)/9
Factor 2*n**2/7 + 26*n/7 - 48.
2*(n - 8)*(n + 21)/7
Factor -n**2/6 - 2*n + 14/3.
-(n - 2)*(n + 14)/6
Let 2*y**2 - 46*y - 840 = 0. What is y?
-12, 35
Find o such that -o**4/7 - 11*o**3/7 - 36*o**2/7 - 16*o/7 + 64/7 = 0.
-4, 1
Let l**4 - 7*l**3 + 12*l**2 + 4*l - 16 = 0. What is l?
-1, 2, 4
Solve -2*a**2/5 + 80*a + 410 = 0.
-5, 205
Determine g so that 20*g**4 + 212*g**3 + 512*g**2 - 240*g = 0.
-6, -5, 0, 2/5
Determine t, given that 5*t**2 + 155*t + 1170 = 0.
-18, -13
Solve -5*o**2/2 + 20*o + 320 = 0.
-8, 16
Find z, given that -z**4 - 30*z**3 - 157*z**2 + 1020*z - 1156 = 0.
-17, 2
Let -14*c**4 - 60*c**3 - 30*c**2 + 80*c + 24 = 0. What is c?
-3, -2, -2/7, 1
Factor 5*k**4 - 105*k**3 - 45*k**2 + 945*k.
5*k*(k - 21)*(k - 3)*(k + 3)
Let -5*z**4 - 115*z**3 - 450*z**2 = 0. Calculate z.
-18, -5, 0
Let -2*a**5/