 10
Factor k**2 - 122*k - 123.
(k - 123)*(k + 1)
Factor 5*q**3 + 4705*q**2 - 9425*q + 4715.
5*(q - 1)**2*(q + 943)
Factor 2*b**3/15 + 12*b**2/5.
2*b**2*(b + 18)/15
Find o such that 4*o**4 - 8*o**3 - 12*o**2 = 0.
-1, 0, 3
Determine v, given that v**5/4 + 39*v**4/4 - 169*v**3/4 + 129*v**2/4 = 0.
-43, 0, 1, 3
Suppose -6*n**5/13 + 3706*n**4/13 + 1240*n**3/13 - 2472*n**2/13 = 0. Calculate n.
-1, 0, 2/3, 618
Determine c, given that 2*c**5/7 + 44*c**4/7 + 40*c**3 + 400*c**2/7 = 0.
-10, -2, 0
Solve 3*r**2/4 - 199*r/4 - 67/2 = 0 for r.
-2/3, 67
Suppose -2*x**3 - 216*x**2 + 662*x - 444 = 0. What is x?
-111, 1, 2
Let -6*z**4/11 - 2*z**3/11 + 258*z**2/11 - 166*z/11 - 84/11 = 0. Calculate z.
-7, -1/3, 1, 6
Factor -2*z**4 - 12*z**3 + 2*z**2 + 12*z.
-2*z*(z - 1)*(z + 1)*(z + 6)
Find q, given that -4*q**4 - 220*q**3 - 208*q**2 + 432*q = 0.
-54, -2, 0, 1
Solve -2*l**4 + 26*l**3 - 74*l**2 + 6*l + 108 = 0 for l.
-1, 2, 3, 9
Let 2*f**2 - 6*f - 8 = 0. What is f?
-1, 4
Factor 2*d**4 + 18*d**3 + 44*d**2 - 64.
2*(d - 1)*(d + 2)*(d + 4)**2
Factor w**3/3 + 5*w**2 - 34*w/3.
w*(w - 2)*(w + 17)/3
Suppose -154*l**2 - 928*l/3 - 8/3 = 0. Calculate l.
-2, -2/231
Factor -2*k**2 - 78*k + 80.
-2*(k - 1)*(k + 40)
Factor 2*o**2/3 + 62*o/3 + 20.
2*(o + 1)*(o + 30)/3
Factor w**4 - 5*w**3 + 2*w**2 + 8*w.
w*(w - 4)*(w - 2)*(w + 1)
Suppose g**3/2 - 9*g**2/2 + 23*g/2 - 15/2 = 0. Calculate g.
1, 3, 5
Find w, given that -w**4 - 23*w**3 - 150*w**2 - 352*w - 224 = 0.
-14, -4, -1
Find g such that 9*g**5 - 39*g**4 + 39*g**3 + 27*g**2 - 48*g + 12 = 0.
-1, 1/3, 1, 2
Find b such that -b**4 - 102*b**3 - 3468*b**2 - 39304*b = 0.
-34, 0
Determine y, given that -5*y**3 - 165*y**2 = 0.
-33, 0
Factor 9*k**2/4 - 33*k - 45/4.
3*(k - 15)*(3*k + 1)/4
Find q such that -2*q**2/11 + 298*q/11 - 3536/11 = 0.
13, 136
Factor 3*b**2 - 906*b - 909.
3*(b - 303)*(b + 1)
Factor -3*u**4 + 501*u**3 + 1524*u**2 + 1020*u.
-3*u*(u - 170)*(u + 1)*(u + 2)
Suppose -4*b**3 + 115*b**2 + 149*b + 30 = 0. What is b?
-1, -1/4, 30
Determine n, given that 5*n**5 - 45*n**4 = 0.
0, 9
Factor -2*l**4/11 - 4*l**3 + 96*l**2/11.
-2*l**2*(l - 2)*(l + 24)/11
Let -2*k**2/11 - 12*k - 198 = 0. Calculate k.
-33
Let 3*a**2/2 - 981*a/2 + 489 = 0. Calculate a.
1, 326
Factor 5*m**4 + 35*m**3 + 70*m**2 + 40*m.
5*m*(m + 1)*(m + 2)*(m + 4)
Suppose 3*i**2/7 - 1293*i/7 - 1296/7 = 0. Calculate i.
-1, 432
Let -2*j**3/7 + 382*j**2/7 - 18430*j/7 + 18050/7 = 0. What is j?
1, 95
Factor -27*f**2/8 + 39*f/2 + 9/2.
-3*(f - 6)*(9*f + 2)/8
Find x such that 51*x**3/5 + 414*x**2/5 + 48*x/5 = 0.
-8, -2/17, 0
Factor -5*f**3/4 + 31*f**2/2 - 6*f.
-f*(f - 12)*(5*f - 2)/4
Factor -2*s**5 + 14*s**4 + 36*s**3 + 4*s**2 - 34*s - 18.
-2*(s - 9)*(s - 1)*(s + 1)**3
Find i such that i**4/2 - 33*i**3 - i**2/2 + 33*i = 0.
-1, 0, 1, 66
Factor -4*d**4 + 32*d**3 - 96*d**2 + 128*d - 64.
-4*(d - 2)**4
Solve -3*a**5 - 1775*a**4 - 260474*a**3 + 614494*a**2 - 440451*a + 88209 = 0 for a.
-297, 1/3, 1
Factor -3*t**2/5 + 153*t/5 + 156/5.
-3*(t - 52)*(t + 1)/5
Solve r**4 + 14*r**3 - 17*r**2 - 30*r = 0 for r.
-15, -1, 0, 2
Let 2*r**2/15 + 22*r/15 - 68/5 = 0. Calculate r.
-17, 6
Determine b so that -972*b**4 - 108*b**3 + 1392*b**2 + 592*b + 64 = 0.
-1, -2/9, 4/3
Factor f**4/4 - 3*f**2/4 + f/2.
f*(f - 1)**2*(f + 2)/4
Factor -i**4/2 + 31*i**3/2 + 33*i**2/2 - 31*i/2 - 16.
-(i - 32)*(i - 1)*(i + 1)**2/2
Let 5*p**2/2 + 275*p/2 + 840 = 0. Calculate p.
-48, -7
Factor 2*b**3/19 - 174*b**2/19 + 670*b/19 - 498/19.
2*(b - 83)*(b - 3)*(b - 1)/19
Solve -2*x**2 + 724*x - 65522 = 0 for x.
181
What is j in -484*j**3/3 + 4180*j**2/3 + 1568*j/3 + 48 = 0?
-2/11, 9
Suppose -o**3 + 19*o**2 - 104*o + 176 = 0. Calculate o.
4, 11
Solve -p**4/2 + 5*p**3/4 + 3*p**2/4 - 2*p - 1 = 0.
-1, -1/2, 2
Determine w so that 3*w**3 - 411*w**2 + 813*w - 405 = 0.
1, 135
Factor -16*o**3 + 756*o**2 + 580*o - 192.
-4*(o - 48)*(o + 1)*(4*o - 1)
Suppose p**2/4 + 3*p = 0. Calculate p.
-12, 0
Factor y**3/2 - 113*y**2/2 + 1624*y - 1568.
(y - 56)**2*(y - 1)/2
Factor -12*u**3 + 297*u**2 + 387*u + 78.
-3*(u - 26)*(u + 1)*(4*u + 1)
Find w, given that -w**5/5 + w**4/5 + 9*w**3/5 + 11*w**2/5 + 4*w/5 = 0.
-1, 0, 4
Suppose -3*r**3/10 + r**2/5 + 27*r/10 - 9/5 = 0. What is r?
-3, 2/3, 3
Factor 4*d**3 - 48*d**2 - 4*d + 48.
4*(d - 12)*(d - 1)*(d + 1)
Suppose -49*i**4 - 266*i**3 - 81*i**2 + 116*i - 20 = 0. Calculate i.
-5, -1, 2/7
Factor 6*b**4/5 - 288*b**3/5 + 1794*b**2/5 - 2952*b/5.
6*b*(b - 41)*(b - 4)*(b - 3)/5
Factor -15*y**2 + 940*y - 2685.
-5*(y - 3)*(3*y - 179)
Let 6*y**4/5 + 46*y**3/5 - 52*y**2/15 - 32*y/15 = 0. What is y?
-8, -1/3, 0, 2/3
Determine f so that 2*f**5/3 + 16*f**4/3 + 26*f**3/3 - 44*f**2/3 - 64*f/3 + 64/3 = 0.
-4, -2, 1
Suppose -x**5/9 - 20*x**4/3 - 628*x**3/9 + 2720*x**2/3 - 18496*x/9 = 0. What is x?
-34, 0, 4
Let -2*f**3/3 + 44*f**2/3 - 280*f/3 + 400/3 = 0. What is f?
2, 10
Suppose 5*q**4/3 + 20*q**3/3 - 55*q**2/3 + 10*q = 0. What is q?
-6, 0, 1
Find v such that -1764*v**3 + 5334*v**2 - 505*v/4 + 3/4 = 0.
1/84, 3
Factor -q**2/2 - 322*q + 645/2.
-(q - 1)*(q + 645)/2
Factor -h**3/4 - h**2/2 + 7*h/4 - 1.
-(h - 1)**2*(h + 4)/4
Find q, given that -27*q**4 + 90*q**3 - 84*q**2 + 24*q = 0.
0, 2/3, 2
Suppose 2*a**4/3 + 28*a**3/9 + 14*a**2/9 - 8*a/9 = 0. Calculate a.
-4, -1, 0, 1/3
Determine p so that -69*p**3/5 + 261*p**2/5 - 60*p + 108/5 = 0.
18/23, 1, 2
Find m, given that -5*m**5 - 35*m**4 + 5*m**3 + 215*m**2 - 180 = 0.
-6, -3, -1, 1, 2
Factor l**5/3 - 61*l**4/3 - 108*l**3 - 400*l**2/3 + 256*l/3 + 176.
(l - 66)*(l - 1)*(l + 2)**3/3
Factor -u**3 + 6*u**2 - 5*u.
-u*(u - 5)*(u - 1)
Solve -p**5/4 - 3*p**4/8 + 5*p**3/8 + 5*p**2/8 - 3*p/8 - 1/4 = 0.
-2, -1, -1/2, 1
Determine k, given that 5*k**5 - 35*k**4 + 85*k**3 - 85*k**2 + 30*k = 0.
0, 1, 2, 3
Let 16*i**3 - 26*i**2 + 4*i + 6 = 0. Calculate i.
-3/8, 1
Factor -3*r**3/8 - 435*r**2/8 + 567*r/2 + 675/2.
-3*(r - 6)*(r + 1)*(r + 150)/8
Let 68*m**4/3 + 224*m**3/3 + 88*m**2 + 128*m/3 + 20/3 = 0. What is m?
-1, -5/17
Determine x, given that x**3/3 + 7*x**2/3 + 4*x = 0.
-4, -3, 0
Suppose 4*m**2 + 3792*m + 898704 = 0. What is m?
-474
Factor -5*j**3 - 230*j**2 + 495*j + 720.
-5*(j - 3)*(j + 1)*(j + 48)
Factor -84*k**3 - 240*k**2 - 153*k + 27.
-3*(2*k + 3)**2*(7*k - 1)
Let -5*z**2 - 700*z - 24500 = 0. Calculate z.
-70
What is d in 9*d**4 - 51*d**3 + 57*d**2 + 51*d - 66 = 0?
-1, 1, 2, 11/3
Determine f so that -2*f**3 + 602*f**2 - 45600*f + 45000 = 0.
1, 150
Solve -3*q**4/7 - 405*q**3/7 - 14643*q**2/7 - 65715*q/7 - 76050/7 = 0 for q.
-65, -3, -2
Find i, given that -2*i**4 + 2034*i**3 - 518160*i**2 + 516128*i = 0.
0, 1, 508
Factor -2*h**3 + 60*h**2 - 166*h + 108.
-2*(h - 27)*(h - 2)*(h - 1)
Factor -1280*p**3 + 2400*p**2 + 1035*p - 2645.
-5*(p + 1)*(16*p - 23)**2
Factor 4*d**3 + 5676*d**2 + 2684748*d + 423295268.
4*(d + 473)**3
Factor -o**4 - 7*o**3 - 18*o**2 - 20*o - 8.
-(o + 1)*(o + 2)**3
Factor -3*k**3/7 + 24*k**2/7 + 183*k/7 + 156/7.
-3*(k - 13)*(k + 1)*(k + 4)/7
Let 30*d**2/13 - 2*d - 4/13 = 0. What is d?
-2/15, 1
Suppose -n**3/2 - 159*n**2/2 + n/2 + 159/2 = 0. Calculate n.
-159, -1, 1
Suppose 3*i**5/8 - 21*i**4/4 + 159*i**3/8 - 57*i**2/2 + 27*i/2 = 0. Calculate i.
0, 1, 2, 9
Suppose 2*b**4/17 - 88*b**3/17 - 2436*b**2/17 - 18424*b/17 - 44590/17 = 0. Calculate b.
-7, 65
Factor -6*f**2/5 + 17952*f/5 - 13428096/5.
-6*(f - 1496)**2/5
Solve 8*b**2/3 - 938*b/3 + 78 = 0 for b.
1/4, 117
Factor -5*l**3 + 335*l**2 - 1280*l + 1260.
-5*(l - 63)*(l - 2)**2
Determine i so that -15*i**3 - 425*i**2 - 2230*i + 1680 = 0.
-21, -8, 2/3
Solve -5*s**3 + 10470*s**2 - 5481045*s = 0.
0, 1047
What is w in 2*w**5/3 - 92*w**4/3 + 364*w**3 - 1800*w**2 + 4014*w - 3348 = 0?
3, 6, 31
Suppose w**2/4 - 113*w - 227 = 0. What is w?
-2, 454
Suppose -2*x**3 + 144*x**2 - 2730*x + 4900 = 0. Calculate x.
2, 35
Factor -j**2/4 + 23*j/4 - 51/2.
-(j - 17)*(j - 6)/4
Factor -5*o**5 + 35*o**4 - 55*o**3 + 25*o**2.
-5*o**2*(o - 5)*(o - 1)**2
Suppose 4*u**3/5 + 4*u**2/5 - 8*u/5 = 0. Calculate u.
-2, 0, 1
Factor -h**3 - 31*h**2 - 30*h.
-h*(h + 1)*(h + 30)
Factor -1230*v**2 + 1851*v - 9.
-3*(2*v - 3)*(205*v - 1)
Solve -4*k**5 + 36*k**4 - 16*k**3 - 144*k**2 + 128*k = 0.
-2, 0, 1, 2, 8
Factor n**2/4 + 11*n/4 + 9/2.
(n + 2)*(n + 9)/4
Factor 5*d**3 + 3240*d**2.
5*d**2*(d + 648)
Solve -3*l**2 + 1011*l - 1008 = 0 for l.
1, 336
Find p such that p**3 + 314*p*