4*g**3 + 176*g**2 - 174*g - 175.
-(g - 175)*(g - 1)*(g + 1)**2
Factor -2*z**3 - 6*z**2.
-2*z**2*(z + 3)
Suppose 196*j**4 + 2044*j**3 - 21208*j**2 + 11600*j - 1632 = 0. What is j?
-17, 2/7, 6
Let -405*u**3 + 2440*u**2 - 3705*u + 90 = 0. What is u?
2/81, 3
Find p, given that p**2/4 - 399*p + 159201 = 0.
798
Factor 2*a**3/7 - 16*a**2/7 - 2*a/7 + 16/7.
2*(a - 8)*(a - 1)*(a + 1)/7
Solve k**2/7 + 270*k/7 + 18225/7 = 0 for k.
-135
Solve 4*t**3 - 364*t**2 - 392*t + 2208 = 0 for t.
-3, 2, 92
Factor o**3/5 - 13*o**2/5 - 246*o/5 - 432/5.
(o - 24)*(o + 2)*(o + 9)/5
Suppose 4*u**2 - 17480*u + 19096900 = 0. What is u?
2185
Factor -2*x**4 - 7*x**3 - 15*x**2/2 - 13*x/4 - 1/2.
-(x + 2)*(2*x + 1)**3/4
Determine l so that 4*l**4 - 64*l**3 + 252*l**2 - 368*l + 176 = 0.
1, 2, 11
Factor -b**2/8 + 67*b/2 - 1827/8.
-(b - 261)*(b - 7)/8
Factor -2*r**2 - 6106*r.
-2*r*(r + 3053)
What is p in 2*p**5/5 - 6*p**4/5 - 52*p**3/5 - 36*p**2/5 + 10*p + 42/5 = 0?
-3, -1, 1, 7
Factor 6*q**3/11 - 228*q**2/11 - 1290*q/11.
6*q*(q - 43)*(q + 5)/11
Suppose -u**2 - 49*u - 94 = 0. Calculate u.
-47, -2
Solve 2*l**5/7 - 34*l**4/7 + 60*l**3/7 + 4*l**2/7 - 62*l/7 + 30/7 = 0 for l.
-1, 1, 15
Let -4*g**5/5 - 14*g**4 - 344*g**3/5 - 82*g**2 + 60*g = 0. Calculate g.
-10, -5, -3, 0, 1/2
Let -o**4/11 + 620*o**3/11 - 95478*o**2/11 - 192820*o/11 - 96721/11 = 0. What is o?
-1, 311
Factor l**4/2 - 11*l**3/2 - 39*l**2/2 - 41*l/2 - 7.
(l - 14)*(l + 1)**3/2
Solve -40*r**5/9 - 616*r**4/9 - 70*r**3/3 + 452*r**2/9 + 26*r/9 - 20/3 = 0.
-15, -1, -2/5, 1/2
Factor -4*h**4 - 152*h**3 - 916*h**2 + 10032*h - 17424.
-4*(h - 3)**2*(h + 22)**2
Factor l**3 - 7*l**2 + 4*l + 12.
(l - 6)*(l - 2)*(l + 1)
Factor -2*d**3/7 + 2272*d**2/7 - 645248*d/7.
-2*d*(d - 568)**2/7
Factor -13*w**3/5 - 100*w**2 - 4921*w/5 - 2166/5.
-(w + 19)**2*(13*w + 6)/5
Let -2*t**2/9 + 244*t/3 - 7442 = 0. What is t?
183
Suppose 4*l**4 - 8*l**3 - 468*l**2 + 2232*l - 2592 = 0. Calculate l.
-12, 2, 3, 9
Suppose 3*d**3 + 58*d**2 + 199*d + 60 = 0. Calculate d.
-15, -4, -1/3
Factor -3*a**2/4 - 1263*a/2 - 1260.
-3*(a + 2)*(a + 840)/4
Factor 3*s**4 - 51*s**3 - 78*s**2 + 396*s + 648.
3*(s - 18)*(s - 3)*(s + 2)**2
Solve s**3/4 + 2373*s**2/4 + 352242*s + 351649 = 0 for s.
-1186, -1
Let 5*b**5 - 35*b**4 + 85*b**3 - 85*b**2 + 30*b = 0. Calculate b.
0, 1, 2, 3
Factor -5*f**2/3 + 220*f - 3175/3.
-5*(f - 127)*(f - 5)/3
Factor 4*k**3/7 + 184*k**2/7 - 28*k - 376/7.
4*(k - 2)*(k + 1)*(k + 47)/7
Let 147*w**5 + 210*w**4 - 1332*w**3 + 696*w**2 - 96*w = 0. Calculate w.
-4, 0, 2/7, 2
Factor -2*a**4/7 + 36*a**3/7 - 96*a**2/7 + 92*a/7 - 30/7.
-2*(a - 15)*(a - 1)**3/7
Solve -2*c**2/7 + 3800*c/7 - 1805000/7 = 0.
950
Solve 5*j**5 + 70*j**4 - 460*j**3 + 330*j**2 + 855*j = 0 for j.
-19, -1, 0, 3
Factor 3*f**2 - 24*f.
3*f*(f - 8)
Determine y, given that 7*y**4 + 5*y**3 - 849*y**2 - 605*y + 242 = 0.
-11, -1, 2/7, 11
Find j such that -j**3 + 4*j**2 + j - 4 = 0.
-1, 1, 4
Factor -2*b**2/5 + 276*b/5 - 9522/5.
-2*(b - 69)**2/5
Factor r**2/4 + 16*r + 256.
(r + 32)**2/4
Determine o so that -o**3 + 2057*o**2 = 0.
0, 2057
Factor 5*k**2 + 1125*k - 2270.
5*(k - 2)*(k + 227)
Factor -c**2/4 + 12*c - 23.
-(c - 46)*(c - 2)/4
What is u in 3*u**5 + 60*u**4 + 324*u**3 + 714*u**2 + 681*u + 234 = 0?
-13, -3, -2, -1
Suppose -5*h**5 - 125*h**4 + 1800*h**3 - 6400*h**2 + 3200*h + 11520 = 0. What is h?
-36, -1, 4
Determine r so that -12*r**4 + 5001*r**3 + 1263*r**2 - 5001*r - 1251 = 0.
-1, -1/4, 1, 417
Factor -3*h**4 - 60*h**3 + 84*h**2 + 4704*h.
-3*h*(h - 8)*(h + 14)**2
Factor 2*f**5 + 4*f**4 - 4*f**2 - 2*f.
2*f*(f - 1)*(f + 1)**3
Factor -2*c**4/5 - 2*c**3 - 16*c**2/5 - 8*c/5.
-2*c*(c + 1)*(c + 2)**2/5
Find s such that s**3/10 + 591*s**2/10 - s/10 - 591/10 = 0.
-591, -1, 1
Solve 5*s**3 + 15*s**2 - 140*s - 300 = 0 for s.
-6, -2, 5
Factor -2*b**2/9 + 20*b/3 - 48.
-2*(b - 18)*(b - 12)/9
Factor -5*h**5 - 10*h**4 - 5*h**3.
-5*h**3*(h + 1)**2
Find c, given that -c**5 - 6*c**4 + 60*c**3 - 136*c**2 + 96*c = 0.
-12, 0, 2
Let -98*z**4 - 77574*z**3 - 44304*z**2 - 6328*z = 0. What is z?
-791, -2/7, 0
Determine d so that -15*d**2 + 674*d + 45 = 0.
-1/15, 45
Factor -v**3 + 7*v + 6.
-(v - 3)*(v + 1)*(v + 2)
Factor -v**4/5 - 14*v**3/5 + 3*v**2.
-v**2*(v - 1)*(v + 15)/5
Suppose -128*j**5 + 880*j**4 - 1840*j**3 + 1100*j**2 - 120*j - 36 = 0. What is j?
-1/8, 1/2, 3
Solve -q**5 + 31*q**4 - 222*q**3 - 320*q**2 + 512*q = 0 for q.
-2, 0, 1, 16
Find j, given that 2*j**3/3 - 1919*j**2/6 - 80*j = 0.
-1/4, 0, 480
Factor -c**5 - 1948*c**4 - 948676*c**3.
-c**3*(c + 974)**2
Factor 7*n**3 - 1158*n**2 - 4644*n/7 - 664/7.
(n - 166)*(7*n + 2)**2/7
Factor -3*c**2 - 3666*c + 3669.
-3*(c - 1)*(c + 1223)
Factor 4*x**3 + 260*x**2 + 4588*x + 11532.
4*(x + 3)*(x + 31)**2
Factor -9*p**2 + 174*p + 120.
-3*(p - 20)*(3*p + 2)
Determine b so that -4*b**5/3 + 16*b**4/3 + 71*b**3/3 + 85*b**2/3 + 41*b/3 + 7/3 = 0.
-1, -1/2, 7
Factor -2*f**3 + 36*f**2 - 192*f + 256.
-2*(f - 8)**2*(f - 2)
Factor -2*k**3 - 872*k**2 - 2598*k.
-2*k*(k + 3)*(k + 433)
What is a in 3*a**4 - 12*a**3 - 9*a**2 + 30*a + 24 = 0?
-1, 2, 4
Determine r so that -3*r**3/8 - 135*r**2/8 - 129*r/4 = 0.
-43, -2, 0
Find y, given that -4*y**2/3 + 200*y/3 - 2500/3 = 0.
25
Solve 2*u**3 + 10*u**2 + 16*u + 8 = 0.
-2, -1
What is j in 2*j**2/13 + 4*j - 54/13 = 0?
-27, 1
Let 9*l**4 - 3*l**3 = 0. What is l?
0, 1/3
Solve -12*j**5 - 184*j**4 + 336*j**3 - 72*j**2 - 68*j = 0.
-17, -1/3, 0, 1
Factor 3*v**2/4 - 393*v/2 + 51483/4.
3*(v - 131)**2/4
Find z such that -1250*z**4/3 + 225*z**3/2 + 1381*z**2/6 + 68*z + 6 = 0.
-1/4, -6/25, 1
Factor 121*x**5 + 429*x**4 + 504*x**3 + 196*x**2.
x**2*(x + 1)*(11*x + 14)**2
Factor -12*m**3 - 1269*m**2 + 8382*m - 2016.
-3*(m - 6)*(m + 112)*(4*m - 1)
Factor 3*j**4 - 168*j**3 + 3528*j**2 - 32928*j + 115248.
3*(j - 14)**4
Factor -4*d**2 - 288*d - 5184.
-4*(d + 36)**2
Suppose 3*l**5 - 17*l**4 - 78*l**3 - 102*l**2 - 53*l - 9 = 0. Calculate l.
-1, -1/3, 9
Find u, given that 6*u**4/5 + 8*u**3 - 32*u - 96/5 = 0.
-6, -2, -2/3, 2
Factor -2*p**4/9 - 10*p**3/3 - 12*p**2.
-2*p**2*(p + 6)*(p + 9)/9
Find g, given that 4*g**3/5 - 38*g**2 + 456*g/5 - 54 = 0.
1, 3/2, 45
Find r, given that -3*r**3 + 126*r**2/5 + 447*r/5 - 198/5 = 0.
-3, 2/5, 11
Factor y**4/6 - 11*y**3/6 - 11*y**2/3 + 208*y/3 - 64.
(y - 8)**2*(y - 1)*(y + 6)/6
Solve m**3/2 + 10*m**2 + 33*m/2 - 27 = 0.
-18, -3, 1
Factor -100*k**2/3 - 3092*k/3 + 248/3.
-4*(k + 31)*(25*k - 2)/3
Solve -2*x**5/11 + 8*x**4 - 406*x**3/11 + 632*x**2/11 - 312*x/11 = 0 for x.
0, 1, 2, 39
Factor -63*w**5/2 - 51*w**4 - 26*w**3 - 4*w**2.
-w**2*(3*w + 2)**2*(7*w + 2)/2
Factor 3*m**2 + 1068*m + 95052.
3*(m + 178)**2
Factor t**2/2 + 22*t + 114.
(t + 6)*(t + 38)/2
Factor -r**2/3 - 4582*r/3 - 5248681/3.
-(r + 2291)**2/3
Solve 3*t**2 - 2967*t = 0.
0, 989
Factor 4*o**2 + 2920*o + 532900.
4*(o + 365)**2
Factor 3*m**2 - 69*m - 150.
3*(m - 25)*(m + 2)
Factor -z**2/3 + 31*z/3 - 10.
-(z - 30)*(z - 1)/3
Factor 2*x**4/3 - x**3/2 - 2*x**2 + x/6 + 1.
(x - 2)*(x + 1)**2*(4*x - 3)/6
Find m, given that 25*m**4/4 + 55*m**3/4 - 14*m**2 + 3*m = 0.
-3, 0, 2/5
Solve 5*j**2 + 105*j + 190 = 0 for j.
-19, -2
Let -3*k**4 - 18*k**3 - 15*k**2 + 36*k = 0. Calculate k.
-4, -3, 0, 1
Factor 4*n**2/5 - 136*n/5 - 396.
4*(n - 45)*(n + 11)/5
Factor 5*f**3 + 365*f**2 + 1400*f + 1380.
5*(f + 2)**2*(f + 69)
Solve x**3 - 10*x**2 - x + 10 = 0.
-1, 1, 10
Solve 2*j**3/17 - 1026*j**2/17 + 175446*j/17 - 10000422/17 = 0.
171
Find k such that 2*k**4/13 - 2*k**3/13 - 12*k**2/13 = 0.
-2, 0, 3
Suppose 2*m**2/9 + 500*m/9 + 31250/9 = 0. What is m?
-125
Factor u**4/2 + 13*u**3/2 - 21*u**2/2 - 833*u/2 - 1372.
(u - 8)*(u + 7)**3/2
Factor 2*s**3/5 - 32*s**2/5 - 42*s.
2*s*(s - 21)*(s + 5)/5
Suppose l**3/2 + l**2/2 - l/2 - 1/2 = 0. Calculate l.
-1, 1
Factor -3*d**5/8 - 39*d**4/8 - 189*d**3/8 - 405*d**2/8 - 81*d/2.
-3*d*(d + 3)**3*(d + 4)/8
Factor 2*v**3 - 22*v**2 - 80*v - 56.
2*(v - 14)*(v + 1)*(v + 2)
Let -4*k**5/7 - 108*k**4/7 - 1056*k**3/7 - 4352*k**2/7 - 6144*k/7 = 0. Calculate k.
-8, -3, 0
Find c such that -2*c**5/5 + 4*c**4/5 + 8*c**3/5 - 16*c**2/5 = 0.
-2, 0, 2
Find k, given that k**3 - 19*k**2 + 18*k = 0.
0, 1, 18
Determine n so that -4*n**4/9 - 74*n**3/9 - 104*n**2/9 - 34*n/9 = 0.
-17, -1, -1/2, 0
Factor 5*b**3 + 310*b**2 + 305*b.
5*b*(b + 1)*(b + 61)
Determine b, given that b**2/3 - 3*b - 22/3 = 0.
-