7 + 62*u**2/17 - 30*u + 450/17.
-2*(u - 15)**2*(u - 1)/17
Factor 4*y**2/7 + 100*y/7 - 216/7.
4*(y - 2)*(y + 27)/7
Let -9*d**5 - 8*d**4 + d**3 = 0. What is d?
-1, 0, 1/9
Factor 4*k**4 - 4*k**3 - 48*k**2 - 16*k + 64.
4*(k - 4)*(k - 1)*(k + 2)**2
Factor r**4 - 92*r**3 + 2206*r**2 - 4140*r + 2025.
(r - 45)**2*(r - 1)**2
Factor -4*c**2 - 96*c - 540.
-4*(c + 9)*(c + 15)
Factor w**2/2 + 43*w/2 + 60.
(w + 3)*(w + 40)/2
Solve -2*d**3/15 - 34*d**2/5 - 128*d/3 - 352/5 = 0 for d.
-44, -4, -3
Factor -4*d**2 + 211*d/5 + 99/5.
-(d - 11)*(20*d + 9)/5
Solve 4*k**5/7 - 27*k**4/7 + 9*k**3/7 + 52*k**2/7 + 12*k/7 = 0.
-1, -1/4, 0, 2, 6
Suppose -14*d**4/11 + 318*d**3/11 - 174*d**2 + 110*d = 0. What is d?
0, 5/7, 11
Factor 4*s**3 - 204*s**2 + 2700*s - 2500.
4*(s - 25)**2*(s - 1)
Factor d**4/2 + 5*d**3 - 43*d**2/8 + 11*d/8.
d*(d + 11)*(2*d - 1)**2/8
Factor 2*q**5 - 12*q**4 + 10*q**3.
2*q**3*(q - 5)*(q - 1)
Suppose -12*p**4 + 81*p**3 - 192*p**2 + 189*p - 66 = 0. What is p?
1, 2, 11/4
Factor 4*l**3 + 288*l**2 - 588*l + 296.
4*(l - 1)**2*(l + 74)
Factor h**3 + 2*h**2 - 11*h - 12.
(h - 3)*(h + 1)*(h + 4)
Factor -3*w**4 - 279*w**3 + 855*w**2 - 861*w + 288.
-3*(w - 1)**3*(w + 96)
Factor -c**2/7 - 51*c/7.
-c*(c + 51)/7
Let -2*c**3/9 - 838*c**2/9 = 0. Calculate c.
-419, 0
Factor -3*r**2 - 12*r + 36.
-3*(r - 2)*(r + 6)
Solve -5*q**3 - 55*q**2 - 130*q - 80 = 0.
-8, -2, -1
Factor m**2/4 + 2045*m/4 - 1023/2.
(m - 1)*(m + 2046)/4
Factor 4*c**5 + 1344*c**4 + 114232*c**3 + 224448*c**2 + 111556*c.
4*c*(c + 1)**2*(c + 167)**2
Find r, given that 4*r**2 - 2904*r + 527076 = 0.
363
Factor -2*l**2 + 108*l - 106.
-2*(l - 53)*(l - 1)
Factor d**2/2 - 3*d + 9/2.
(d - 3)**2/2
Determine y, given that 2*y**2/3 - 56*y/3 + 114 = 0.
9, 19
Factor -4*l**2 + 13960*l - 12180100.
-4*(l - 1745)**2
Factor 3*i**4/7 + 90*i**3/7 + 831*i**2/7 + 2340*i/7 + 2028/7.
3*(i + 2)**2*(i + 13)**2/7
Find k such that -3*k**3 + 1068*k**2 = 0.
0, 356
Factor -i**5/4 + i**4 + 5*i**3/4.
-i**3*(i - 5)*(i + 1)/4
Factor -x**5 + 6*x**4 - 14*x**3 + 16*x**2 - 9*x + 2.
-(x - 2)*(x - 1)**4
Determine f, given that f**3/4 + f**2 - 77*f/4 = 0.
-11, 0, 7
Find y such that -y**3 - 5*y**2 - 8*y - 4 = 0.
-2, -1
Factor -12*s**2 - 3*s + 9.
-3*(s + 1)*(4*s - 3)
What is u in 4*u**2 + 280*u + 4900 = 0?
-35
Factor 4*l**3/5 + 1204*l**2/5 + 7116*l/5 + 2124.
4*(l + 3)**2*(l + 295)/5
Find p such that 5*p**4 - 93*p**3 + 42*p**2 + 212*p + 72 = 0.
-1, -2/5, 2, 18
Let g**2/2 - 257*g/2 - 259 = 0. What is g?
-2, 259
Solve -f**3/6 - 7*f**2/3 - 35*f/6 - 11/3 = 0.
-11, -2, -1
Solve 2*m**4/7 - 20*m**3/7 + 16*m**2/7 + 20*m/7 - 18/7 = 0 for m.
-1, 1, 9
Factor 2*c**2/5 + 44*c + 1210.
2*(c + 55)**2/5
Suppose -2*t**4 + 52*t**3 - 274*t**2 - 952*t + 1176 = 0. What is t?
-3, 1, 14
Factor -4*g**4 + 60*g**3 - 216*g**2 + 160*g.
-4*g*(g - 10)*(g - 4)*(g - 1)
Factor -39*g**3 + 24*g**2 + 411*g - 396.
-3*(g - 3)*(g - 1)*(13*g + 44)
Find g, given that -4*g**3 - 40*g**2 + 224*g = 0.
-14, 0, 4
Suppose 5*s**3 + 16770*s**2 + 18748860*s + 6987075160 = 0. What is s?
-1118
Factor -1827904*s**4 + 843648*s**3 - 146016*s**2 + 11232*s - 324.
-4*(26*s - 3)**4
Solve 21*a**4/4 + 83*a**3/4 - 5*a**2 - 17*a - 4 = 0.
-4, -2/3, -2/7, 1
Factor 5*a**2 - 265*a - 2100.
5*(a - 60)*(a + 7)
What is l in -4*l**3 - 4752*l**2 + 19056*l - 19072 = 0?
-1192, 2
What is i in -4*i**5 + 44*i**4 - 152*i**3 + 208*i**2 - 96*i = 0?
0, 1, 2, 6
Suppose -4*l**5 + 36*l**4 + 20*l**3 - 180*l**2 - 16*l + 144 = 0. What is l?
-2, -1, 1, 2, 9
Factor 2*p**3/9 + 2*p**2/9 - 2*p/9 - 2/9.
2*(p - 1)*(p + 1)**2/9
Factor -7*d**2 - 13*d - 6.
-(d + 1)*(7*d + 6)
Find v, given that 2*v**2/7 - 48*v/7 = 0.
0, 24
Solve 2*t**2 - 4218*t + 4216 = 0.
1, 2108
Determine f so that -4*f**2 + 9468*f - 9464 = 0.
1, 2366
Solve u**4/3 - 2*u**3 - 4*u**2/3 + 8*u = 0 for u.
-2, 0, 2, 6
Solve x**4 - 32*x**3 - 73*x**2 + 164*x + 204 = 0.
-3, -1, 2, 34
Let -5*v**4 - 15*v**3 - 10*v**2 = 0. What is v?
-2, -1, 0
Factor 5*l**2 + 295*l + 840.
5*(l + 3)*(l + 56)
Determine t, given that 4*t**2 + 176*t + 1680 = 0.
-30, -14
Solve n**5 - 4*n**4 + 6*n**3 - 4*n**2 + n = 0.
0, 1
Let 3*z**3/4 + 93*z**2/2 - 381*z/4 + 48 = 0. Calculate z.
-64, 1
Factor 2*d**3 + 78*d**2 + 990*d + 4050.
2*(d + 9)*(d + 15)**2
Factor -8405*o**3 + 210945*o**2 - 20520*o + 500.
-5*(o - 25)*(41*o - 2)**2
Factor 2*b**4 + 350*b**3 - 1422*b**2 + 1786*b - 716.
2*(b - 2)*(b - 1)**2*(b + 179)
Find v such that 2*v**3/11 - 78*v**2/11 + 90*v - 374 = 0.
11, 17
Solve 2*a**2/11 - 12*a/11 + 16/11 = 0.
2, 4
Factor 2*w**3/7 - 166*w**2/7 - 150*w - 1602/7.
2*(w - 89)*(w + 3)**2/7
Solve -3*u**3 - 2910*u**2 - 711459*u - 2799468 = 0 for u.
-483, -4
Solve -2*u**4/11 + 2*u**3/11 + 50*u**2/11 - 50*u/11 = 0 for u.
-5, 0, 1, 5
Determine w, given that -2*w**5 - 14*w**4 + 2*w**3 + 14*w**2 = 0.
-7, -1, 0, 1
Factor 4*p**4 - 9952*p**3 + 6190144*p**2.
4*p**2*(p - 1244)**2
Solve 722*c**2/7 - 532*c + 686 = 0.
49/19
Factor 4*q**3/7 + 58*q**2/7 + 222*q/7 + 216/7.
2*(q + 4)*(q + 9)*(2*q + 3)/7
Suppose -40*u**4 + 2604*u**3 - 5340*u**2 + 3028*u - 252 = 0. What is u?
1/10, 1, 63
Solve -28*c**4 - 176980*c**3 - 372863148*c**2 - 261803186428*c + 74831352344 = 0.
-2107, 2/7
Solve v**2/2 + 1697*v + 3393/2 = 0 for v.
-3393, -1
What is k in -2*k**4 - 196*k**3 + 1458*k**2 - 1260*k = 0?
-105, 0, 1, 6
Determine b so that -10*b**2/7 - 12*b/7 + 16/7 = 0.
-2, 4/5
Factor 5*d**4 + 1950*d**3 + 192065*d**2 + 378300*d + 188180.
5*(d + 1)**2*(d + 194)**2
Solve -i**2/8 - 15*i + 128 = 0.
-128, 8
Factor q**4/3 - 73*q**3/3 + 1135*q**2/3 + 2431*q + 2028.
(q - 39)**2*(q + 1)*(q + 4)/3
Let 2*g**3/3 + 352*g**2/3 - 712*g/3 = 0. What is g?
-178, 0, 2
Find i such that 2*i**5/5 - 12*i**4/5 - 82*i**3/5 - 12*i**2/5 + 296*i/5 + 48 = 0.
-3, -2, -1, 2, 10
Factor h**4 + 8*h**3 + 6*h**2 - 40*h + 25.
(h - 1)**2*(h + 5)**2
Factor 2*a**5/3 - 902*a**4/3 + 1196*a**3 - 5372*a**2/3 + 3578*a/3 - 298.
2*(a - 447)*(a - 1)**4/3
Let -3*m**3/2 + 465*m**2/2 - 19125*m/2 + 84375/2 = 0. What is m?
5, 75
Suppose -3*u**5 - 270*u**4 - 5511*u**3 + 25380*u**2 - 26508*u = 0. Calculate u.
-47, 0, 2
Determine t, given that -2*t**2/9 + 2*t/3 - 4/9 = 0.
1, 2
Factor 2*x**4/7 + 12*x**3/7 + 8*x**2/7 - 12*x/7 - 10/7.
2*(x - 1)*(x + 1)**2*(x + 5)/7
Factor b**4/5 + 2*b**3/5 - b**2/5 - 2*b/5.
b*(b - 1)*(b + 1)*(b + 2)/5
Factor -t**2 - 950*t - 225625.
-(t + 475)**2
Solve 3*v**4/7 + 3*v**3/7 - 18*v**2/7 = 0 for v.
-3, 0, 2
Determine k so that 2*k**2 + 162*k - 332 = 0.
-83, 2
Solve 6*u**3 - 321*u**2 + 159*u = 0 for u.
0, 1/2, 53
Factor -2*g**3 + 14*g**2 + 66*g - 270.
-2*(g - 9)*(g - 3)*(g + 5)
Let -3*j**3 + 15*j**2 + 18*j = 0. Calculate j.
-1, 0, 6
Solve 4*q**5/5 - 688*q**4/5 + 32852*q**3/5 - 283304*q**2/5 + 860544*q/5 - 839808/5 = 0.
2, 4, 81
Find u, given that -5*u**5/2 + 125*u**4 - 485*u**3/2 + 120*u**2 = 0.
0, 1, 48
Factor s**3/2 + 6*s**2 - 31*s/2 - 21.
(s - 3)*(s + 1)*(s + 14)/2
Let 5*w**2 + 120*w - 260 = 0. Calculate w.
-26, 2
What is l in l**3 - 61*l**2 - 64*l + 124 = 0?
-2, 1, 62
Let w**2/5 - 41*w/5 + 78/5 = 0. What is w?
2, 39
Solve 3*j**2/2 + 5346*j + 4763286 = 0 for j.
-1782
Find g, given that 2*g**2/5 - 12*g + 90 = 0.
15
Find r, given that 2*r**4 - 24*r**3 + 70*r**2 - 48*r = 0.
0, 1, 3, 8
Solve -4*m**2 - 4*m + 168 = 0 for m.
-7, 6
What is x in 3*x**4/5 + 81*x**3/5 + 531*x**2/5 + 303*x/5 - 918/5 = 0?
-17, -9, -2, 1
Suppose 3*h**4 + 24*h**3 - 12*h**2 - 96*h = 0. What is h?
-8, -2, 0, 2
Determine a, given that -2*a**5/9 - 2*a**4 + 34*a**3/9 + 46*a**2/3 - 32*a/9 - 40/3 = 0.
-10, -2, -1, 1, 3
Suppose -4*g**4/3 - 4*g**3/3 + 20*g**2/3 - 4*g = 0. Calculate g.
-3, 0, 1
Factor s**4/6 - s**3/6 - 5*s**2/3 - 4*s/3.
s*(s - 4)*(s + 1)*(s + 2)/6
What is f in -4*f**3 + 2476*f**2 - 4940*f + 2468 = 0?
1, 617
Factor s**4/2 + 5*s**3/2 + s**2 - 10*s - 12.
(s - 2)*(s + 2)**2*(s + 3)/2
Factor 3*h**2/5 - 183*h/5 + 198.
3*(h - 55)*(h - 6)/5
Find u such that -2916*u**5 + 4860*u**4 + 1836*u**3 + 212*u**2 + 8*u = 0.
-1/9, 0, 2
Factor 4*q**4 - 1256*q**3 + 98596*q**2.
4*q**2*(q - 157)**2
Determine j, given that -54*j**3 + 4446*j**2 - 90768*j - 30752 = 0.
-1/3, 124/3
Factor -s**3/2 - s**2.
-s**2*(s + 2)/2
Solve 3*a**2/4 - 21*a/4 - 6 = 0 for a.
-1, 8
Factor -2*g**2 - 6*g + 8.
-2*(g - 1)*(g + 4)
Let 2*x**2/3 + 13*x/3 - 5 = 0. Calculate x.
-15/2, 1
Solve 14*i**4 + 172*i**3 - 330*i**2 + 88*i + 56 = 0.
-14, -2/7, 1
Determine u so