/2.
-(g - 1)**2*(g + 21)**3/6
Determine g so that g**2/9 + 148*g/9 - 1580/9 = 0.
-158, 10
Factor q**5/2 + 21*q**4 + 349*q**3/2 - 966*q**2 + 1058*q.
q*(q - 2)**2*(q + 23)**2/2
Determine m so that m**3 - 9*m**2 - 36*m = 0.
-3, 0, 12
Determine s so that 2*s**3/3 + 232*s**2/3 + 226*s/3 - 460/3 = 0.
-115, -2, 1
Suppose -2*z**3/15 - 14*z**2/15 + 146*z/15 - 26/3 = 0. What is z?
-13, 1, 5
Suppose -12*q**5 - 92*q**4 - 188*q**3 - 148*q**2 - 40*q = 0. Calculate q.
-5, -1, -2/3, 0
Let 21*f**5 + 6*f**4 - 84*f**3 - 24*f**2 = 0. What is f?
-2, -2/7, 0, 2
Find r, given that 2*r**2/5 - 6*r + 112/5 = 0.
7, 8
What is s in -s**4/7 + 3*s**3/7 - 2*s**2/7 = 0?
0, 1, 2
Factor 3*p**2 + 2418*p + 487227.
3*(p + 403)**2
Factor 5*d**3 + 35*d**2 + 35*d - 75.
5*(d - 1)*(d + 3)*(d + 5)
Determine a, given that -a**5 + 85*a**4 - 483*a**3 + 707*a**2 + 328*a - 948 = 0.
-1, 2, 3, 79
Factor 2*p**2/17 - 132*p/17 + 98.
2*(p - 49)*(p - 17)/17
Find d such that -6*d**3 + 9152*d**2 + 6106*d - 3052 = 0.
-1, 1/3, 1526
Suppose -28*p**5 + 104*p**4 - 52*p**3 - 136*p**2 + 80*p + 32 = 0. Calculate p.
-1, -2/7, 1, 2
Solve 14*v**3/3 + 46*v**2/3 + 4*v = 0 for v.
-3, -2/7, 0
Factor -2*c**2/7 - 68*c/7 - 54.
-2*(c + 7)*(c + 27)/7
Factor 5*z**3 + 70*z**2 - 75*z.
5*z*(z - 1)*(z + 15)
What is j in 2*j**5/7 - 10*j**4/7 - 6*j**3 + 274*j**2/7 - 176*j/7 - 480/7 = 0?
-5, -1, 3, 4
Determine f, given that -12*f**5 + 32*f**4 - 4*f**3 - 32*f**2 + 16*f = 0.
-1, 0, 2/3, 1, 2
Let g**3 + 16*g**2 + 69*g + 54 = 0. Calculate g.
-9, -6, -1
Let 5*s**4 + 70*s**3 + 175*s**2 + 110*s = 0. What is s?
-11, -2, -1, 0
Factor 2*m**4 + 34*m**3 - 48*m**2 - 216*m.
2*m*(m - 3)*(m + 2)*(m + 18)
Factor 2*k**3/3 + 106*k**2 + 210*k + 314/3.
2*(k + 1)**2*(k + 157)/3
Solve -215*d**5/4 - 535*d**4 + 240*d**3 + 16535*d**2/2 - 33145*d/4 + 735/2 = 0.
-7, 2/43, 1, 3
Solve -2*f**5/7 + 2*f**4/7 + 88*f**3/7 - 376*f**2/7 + 544*f/7 - 256/7 = 0 for f.
-8, 1, 2, 4
Let 2*k**2/7 + 22*k - 1360/7 = 0. What is k?
-85, 8
Factor 2197*q**5 - 16562*q**4 - 7956*q**3 - 1240*q**2 - 64*q.
q*(q - 8)*(13*q + 2)**3
Factor -2*p**3 + 1088*p**2/7 + 312*p/7.
-2*p*(p - 78)*(7*p + 2)/7
Find u, given that -u**2/2 - 34*u + 213/2 = 0.
-71, 3
Factor -3*q**4/5 + 12*q**3/5 - 12*q**2/5.
-3*q**2*(q - 2)**2/5
Solve 3*a**2 + 8310*a + 5754675 = 0 for a.
-1385
Solve -2*b**2/3 + 8*b/3 + 8 = 0.
-2, 6
Factor 3*l**3 + 90*l**2 - 189*l + 96.
3*(l - 1)**2*(l + 32)
Find u such that -2*u**3/3 - 22*u**2 - 114*u - 162 = 0.
-27, -3
Solve -3*h**2/7 - 9*h/7 + 30/7 = 0.
-5, 2
Factor -3*i**4 - 6*i**3 + 6*i + 3.
-3*(i - 1)*(i + 1)**3
What is i in -5*i**2 - 10390*i - 5397605 = 0?
-1039
Factor b**2 + 3948*b + 3896676.
(b + 1974)**2
Suppose -d**4 - 8*d**3 - 19*d**2 - 12*d = 0. Calculate d.
-4, -3, -1, 0
Solve -3*h**2 + 363*h - 1404 = 0 for h.
4, 117
Find q, given that 2*q**5/5 - 8*q**4/5 - 4*q**3/5 + 16*q**2/5 + 2*q/5 - 8/5 = 0.
-1, 1, 4
Suppose 2*o**4 + 28*o**3 + 104*o**2 + 132*o + 54 = 0. Calculate o.
-9, -3, -1
Let -3*b**2/5 - 3*b/5 + 36/5 = 0. What is b?
-4, 3
Let -2*q**3 + 36*q**2 - 66*q - 968 = 0. Calculate q.
-4, 11
Find h such that -h**2 - 214*h = 0.
-214, 0
Factor -2*y**2 + 116*y - 114.
-2*(y - 57)*(y - 1)
Suppose 55*g**5 - 1418*g**4 + 2379*g**3 - 628*g**2 - 484*g + 96 = 0. Calculate g.
-2/5, 2/11, 1, 24
Factor -4*w**4 + 68*w**3 - 56*w**2 - 128*w.
-4*w*(w - 16)*(w - 2)*(w + 1)
Factor -12*t**2 - 4*t + 16.
-4*(t - 1)*(3*t + 4)
Suppose -3*c**5 - 3*c**4 + 27*c**3 + 27*c**2 = 0. What is c?
-3, -1, 0, 3
Solve 2*l**5 + 6*l**4 - 8*l**3 = 0 for l.
-4, 0, 1
Factor 2*x**5/19 + 6*x**4/19 - 18*x**3/19 - 54*x**2/19.
2*x**2*(x - 3)*(x + 3)**2/19
What is o in -2*o**5/3 + 8*o**4/3 - 4*o**3 + 8*o**2/3 - 2*o/3 = 0?
0, 1
Determine b so that b**5/8 - b**4 + 13*b**3/8 - 3*b**2/4 = 0.
0, 1, 6
Factor -2*z**2/11 - 164*z/11 - 3362/11.
-2*(z + 41)**2/11
Factor -4*g**3/3 + 1252*g**2/3 - 32864*g + 32448.
-4*(g - 156)**2*(g - 1)/3
Solve -2*j**5/7 - 12*j**4/7 + 2*j**3 + 72*j**2/7 - 72*j/7 = 0 for j.
-6, -3, 0, 1, 2
Let 2*k**3 - 4*k**2 - 2*k + 4 = 0. Calculate k.
-1, 1, 2
What is n in 3*n**3 - 30*n**2 - 96*n + 1152 = 0?
-6, 8
Factor 2*u**4 + 708*u**3 + 61226*u**2 - 253464*u + 256328.
2*(u - 2)**2*(u + 179)**2
Determine x so that x**3/3 - 316*x**2/3 - 955*x/3 - 638/3 = 0.
-2, -1, 319
Factor -7*r**2/10 - 8*r/5 - 2/5.
-(r + 2)*(7*r + 2)/10
Find r such that -56*r**2/11 + 190*r/11 + 504/11 = 0.
-7/4, 36/7
Factor -2*o**3 + o**2 + 8*o - 4.
-(o - 2)*(o + 2)*(2*o - 1)
Factor 4*k**5 - 28*k**4 - 12*k**3 + 220*k**2 + 200*k.
4*k*(k - 5)**2*(k + 1)*(k + 2)
Factor -3*q**3 - 24*q**2 + 93*q - 66.
-3*(q - 2)*(q - 1)*(q + 11)
Suppose -w**5 - 17*w**4 + 125*w**3 - 287*w**2 + 272*w - 92 = 0. What is w?
-23, 1, 2
Factor 2*b**2 + 260*b.
2*b*(b + 130)
Factor -2*f**5/9 + 44*f**4/9 - 290*f**3/9 + 304*f**2/9 + 1664*f/9 + 1024/9.
-2*(f - 8)**3*(f + 1)**2/9
Factor -10*x**2/3 - 32*x + 40/3.
-2*(x + 10)*(5*x - 2)/3
Solve 3*w**2/5 + 456*w/5 - 1872/5 = 0.
-156, 4
Factor 2*x**3 + 356*x**2/9 - 1322*x/9 + 92/3.
2*(x - 3)*(x + 23)*(9*x - 2)/9
Let -3*p**5/2 + 93*p**4/2 - 264*p**3 + 264*p**2 + 576*p = 0. Calculate p.
-1, 0, 4, 24
Solve 10*s**2 - 6856*s - 2744 = 0 for s.
-2/5, 686
Factor 2*z**3/5 - 38*z**2/5 + 224*z/5 - 384/5.
2*(z - 8)**2*(z - 3)/5
Factor -5*c**2 + 39*c + 8.
-(c - 8)*(5*c + 1)
Solve 4*g**2 + 32*g + 28 = 0.
-7, -1
Solve -4*o**4 + 184*o**3 + 196*o**2 - 376*o = 0.
-2, 0, 1, 47
Suppose 2*b**4/13 + 36*b**3/13 + 134*b**2/13 - 252*b/13 - 352/13 = 0. Calculate b.
-11, -8, -1, 2
Factor -5*f**4 - 125*f**3 - 120*f**2.
-5*f**2*(f + 1)*(f + 24)
Determine f, given that -5*f**4 + 19*f**3/2 - 3*f**2 - 5*f/2 + 1 = 0.
-1/2, 2/5, 1
Solve 2*j**4/9 + 2*j**3/3 - 2*j**2/9 - 2*j/3 = 0 for j.
-3, -1, 0, 1
Factor -2*p**2/5 - 224*p/5 - 6272/5.
-2*(p + 56)**2/5
Suppose 4*q**5/5 + 2*q**4 - 12*q**3 - 32*q**2 - 64*q/5 = 0. Calculate q.
-4, -2, -1/2, 0, 4
Factor 2*l**3/19 + 92*l**2/19 + 1144*l/19 + 1936/19.
2*(l + 2)*(l + 22)**2/19
Let -q**5/4 + 13*q**4/2 - 56*q**3 + 160*q**2 = 0. What is q?
0, 8, 10
Factor 2*l**3/9 + 262*l**2/9 - 532*l/9.
2*l*(l - 2)*(l + 133)/9
Factor -r**3/5 + 166*r**2/5 + 336*r/5.
-r*(r - 168)*(r + 2)/5
Solve -26*f**2/15 + 56*f/15 + 72/5 = 0 for f.
-2, 54/13
Determine s, given that 3*s**2 - 28380*s + 67118700 = 0.
4730
Factor -16*c**4 + 164*c**3 - 612*c**2 + 972*c - 540.
-4*(c - 3)**3*(4*c - 5)
Factor 3*p**4/8 + 51*p**3/8 + 279*p**2/8 + 525*p/8 + 147/4.
3*(p + 1)*(p + 2)*(p + 7)**2/8
Solve 4*o**5 + 12*o**4 - 392*o**3 - 408*o**2 + 388*o + 396 = 0.
-11, -1, 1, 9
Find l such that -35*l**3 - 390*l**2 + 815*l - 390 = 0.
-13, 6/7, 1
Determine q, given that -4*q**2/5 - 49*q/5 - 12/5 = 0.
-12, -1/4
Factor -2*t**3/9 + 50*t**2/9 - 44*t/9 - 32/3.
-2*(t - 24)*(t - 2)*(t + 1)/9
What is f in 6*f**2/5 + 516*f + 55470 = 0?
-215
Factor 2*f**3/17 - 1524*f**2/17 + 387096*f/17 - 32774128/17.
2*(f - 254)**3/17
Find v, given that -3*v**2 - 798*v + 1608 = 0.
-268, 2
Factor n**2/7 + 4174*n/7 + 4355569/7.
(n + 2087)**2/7
Solve -u**5 - 165*u**4 - 9236*u**3 - 184032*u**2 - 489888*u - 314928 = 0 for u.
-54, -2, -1
Find k such that 18*k**4 - 20*k**3 - 34*k**2 + 4*k = 0.
-1, 0, 1/9, 2
Let -4*g**5 + 32*g**4 - 28*g**3 = 0. What is g?
0, 1, 7
What is x in 4*x**2 + 88*x - 540 = 0?
-27, 5
Suppose 2*v**3/3 - 4*v**2 - 2*v/3 + 20 = 0. Calculate v.
-2, 3, 5
Find b such that -2*b**4 - 8*b**3 + 36*b**2 + 216*b + 270 = 0.
-3, 5
Factor -5*t**5 + 30*t**4 + 30*t**3 - 220*t**2 + 255*t - 90.
-5*(t - 6)*(t - 1)**3*(t + 3)
Factor 2*v**2/11 + 38*v/11 + 180/11.
2*(v + 9)*(v + 10)/11
Factor -q**2 - 484*q - 1443.
-(q + 3)*(q + 481)
Factor c**2 - 564*c + 79524.
(c - 282)**2
Factor 6*h**2 - 62*h + 20.
2*(h - 10)*(3*h - 1)
Factor -4*m**3 + 120*m**2 + 388*m + 264.
-4*(m - 33)*(m + 1)*(m + 2)
Solve 3*n**5/4 - 21*n**4 + 351*n**3/4 + 2073*n**2/2 - 2256*n + 1152 = 0.
-6, 1, 16
Solve -3*g**5/4 - 105*g**4/4 + 333*g**3/4 - 339*g**2/4 + 57*g/2 = 0 for g.
-38, 0, 1
Determine q so that q**3/4 - 1497*q**2/4 - 2997*q/4 - 1499/4 = 0.
-1, 1499
Factor m**3/10 - 3*m**2/10 + m/5.
m*(m - 2)*(m - 1)/10
Factor 5*j**4 - 75*j**3 + 190*j**2 - 120*j.
5*j*(j - 12)*(j - 2)*(j - 1)
Factor -5*c**4 + 120*c**3 - 900*c**2 + 2000*c.
-5*c*(c - 10)**2*(c - 4)
Factor -3*k**4/4 + 33*k**3/4 - 18*k**2.
-3*k**2*(k - 8)*(k - 3)/4
Factor 2*h**3/3 - 34*h**2 + 336*h + 7840/3.
2*(h - 28)**2*(h + 5)/3
Factor -3*y**3 - 57*y**2 - 294*y - 240.
-3*(y + 1)*(y 