 3*f**2/8 + 39*f - 315/8.
3*(f - 1)*(f + 105)/8
What is p in 2*p**3 + 8*p**2 - 70*p - 300 = 0?
-5, 6
Solve -3*q**2 - 882*q - 64827 = 0.
-147
Let -9*l**2/8 - 2571*l/4 - 1713/8 = 0. Calculate l.
-571, -1/3
Factor 2*q**4 - 82*q**3.
2*q**3*(q - 41)
Factor 5*o**2 - 5990*o + 1794005.
5*(o - 599)**2
What is s in 12*s**5/5 + 171*s**4/5 + 198*s**3/5 + 39*s**2/5 = 0?
-13, -1, -1/4, 0
Factor 4*r**5 + 36*r**4 + 108*r**3 + 124*r**2 + 48*r.
4*r*(r + 1)**2*(r + 3)*(r + 4)
Factor g**2/8 - 9*g/4 - 5.
(g - 20)*(g + 2)/8
Let -h**3/6 + 5*h**2/3 - 25*h/6 = 0. What is h?
0, 5
Find y, given that 2*y**3/7 + 44*y**2/7 - 50*y/7 - 92/7 = 0.
-23, -1, 2
Let -4*s**5/5 - 36*s**4/5 + 4*s**3/5 + 36*s**2/5 = 0. Calculate s.
-9, -1, 0, 1
Factor -388*y**2 + 234*y - 20.
-2*(2*y - 1)*(97*y - 10)
Solve y**3/6 - 288*y**2 + 165888*y - 31850496 = 0 for y.
576
What is c in -2*c**2/15 - 7856*c/15 - 7714592/15 = 0?
-1964
Solve -4*h**5/9 - h**4/9 + 4*h**3/3 + 11*h**2/9 + 2*h/9 = 0 for h.
-1, -1/4, 0, 2
What is q in -35*q**4/4 + 195*q**3/4 + 125*q**2/4 - 195*q/4 - 45/2 = 0?
-1, -3/7, 1, 6
Let -2*h**4/21 - 2*h**3 + 144*h**2/7 - 928*h/21 = 0. Calculate h.
-29, 0, 4
Let 5*v**4 - 1010*v**3 - 1020*v**2 + 1010*v + 1015 = 0. Calculate v.
-1, 1, 203
Let y**5/5 + 4*y**4/5 - 4*y**3/5 - 16*y**2/5 = 0. What is y?
-4, -2, 0, 2
Suppose k**4 - 6*k**3 - 25*k**2 - 18*k = 0. What is k?
-2, -1, 0, 9
Find f, given that 35*f**5 - 102*f**4 + 17*f**3 + 126*f**2 - 52*f - 24 = 0.
-1, -2/7, 1, 6/5, 2
Factor -4*y**3 + 72*y**2 + 1020*y + 2800.
-4*(y - 28)*(y + 5)**2
Factor 4*z**3/15 + 22*z**2/15 - 14*z/15 - 4/5.
2*(z - 1)*(z + 6)*(2*z + 1)/15
Find l such that 45*l**4 + 110*l**3 + 40*l**2 = 0.
-2, -4/9, 0
Factor 5*i**2 + 660*i.
5*i*(i + 132)
Factor 5*q**5 + 515*q**4 + 2955*q**3 + 4365*q**2.
5*q**2*(q + 3)**2*(q + 97)
Find k such that 2*k**2 - 24*k + 72 = 0.
6
Solve -4*q**5 - 10*q**4 + 10*q**3 + 10*q**2 - 6*q = 0 for q.
-3, -1, 0, 1/2, 1
Determine z so that -4*z**4/7 - 104*z**3/7 - 96*z**2 + 104*z/7 + 676/7 = 0.
-13, -1, 1
Let 8*w**5 + 22*w**4 - 30*w**3 - 82*w**2 - 26*w + 12 = 0. What is w?
-3, -1, 1/4, 2
Factor -2*q**4/9 - 220*q**3/3 - 53114*q**2/9 + 73480*q/3 - 223112/9.
-2*(q - 2)**2*(q + 167)**2/9
Determine v so that -v**4 - 106*v**3/3 - 300*v**2 + 216*v = 0.
-18, 0, 2/3
Find a such that a**5/5 - 12*a**4/5 - 43*a**3/5 + 94*a**2 + 300*a + 200 = 0.
-5, -2, -1, 10
Suppose 4*f**2 - 72*f - 2592 = 0. Calculate f.
-18, 36
Determine x, given that 26*x**5 - 76*x**4 + 72*x**3 - 20*x**2 - 2*x = 0.
-1/13, 0, 1
Find z, given that -10*z**2/11 - 138*z/11 + 180/11 = 0.
-15, 6/5
Solve -2*n**3/15 + 274*n**2/15 - 10496*n/15 + 24576/5 = 0.
9, 64
Determine w so that -15*w**5 - 78*w**4 + 132*w**3 + 312*w**2 - 288*w = 0.
-6, -2, 0, 4/5, 2
Factor 4*q**3 + 372*q**2 + 9180*q + 24300.
4*(q + 3)*(q + 45)**2
Factor -2*h**3/7 + 72*h**2/7 - 810*h/7 + 2916/7.
-2*(h - 18)*(h - 9)**2/7
Factor -4*i**2/7 - 204*i/7.
-4*i*(i + 51)/7
Factor -21*c**3/11 + 149*c**2/11 - 14*c/11.
-c*(c - 7)*(21*c - 2)/11
Factor 2*v**3/3 - 40*v**2/9 - 22*v/9 + 56/9.
2*(v - 7)*(v - 1)*(3*v + 4)/9
Let -2*s**5 - 10*s**4 + 16*s**3 + 80*s**2 - 32*s - 160 = 0. Calculate s.
-5, -2, 2
Factor -c**2 + 43*c.
-c*(c - 43)
Factor 2*h**2/9 + 592*h/9 - 1192/9.
2*(h - 2)*(h + 298)/9
Solve 2*f**2 - 266*f + 780 = 0.
3, 130
Factor 2*b**2/3 - 2822*b/3 + 940.
2*(b - 1410)*(b - 1)/3
Determine s so that s**3/2 - 14*s**2 + 98*s = 0.
0, 14
Determine x so that 2*x**3/3 + 154*x**2/3 + 448*x/3 + 296/3 = 0.
-74, -2, -1
Factor -j**5/2 + 13*j**4 - 47*j**3 + 68*j**2 - 89*j/2 + 11.
-(j - 22)*(j - 1)**4/2
Solve f**2/3 + 35*f/3 = 0.
-35, 0
Suppose 2*n**3/5 + 24*n**2/5 + 22*n/5 = 0. Calculate n.
-11, -1, 0
Factor p**2 + 86*p + 1849.
(p + 43)**2
Factor -d**2 + 8*d.
-d*(d - 8)
Let -2*o**2 - 34*o = 0. Calculate o.
-17, 0
Solve a**2/3 - 37*a/3 - 38/3 = 0.
-1, 38
Factor -2*q**3/5 + 58*q**2/5 - 208*q/5 + 40.
-2*(q - 25)*(q - 2)**2/5
Factor -v**2/8 - 277*v/8 + 1435/4.
-(v - 10)*(v + 287)/8
Solve -w**4/9 - 2*w**3/9 + 4*w**2/9 + 2*w/9 - 1/3 = 0 for w.
-3, -1, 1
Factor -2*p**2 - 264*p.
-2*p*(p + 132)
Suppose 10*s**5/9 - 26*s**4/9 - 32*s**3/9 + 112*s**2/9 - 32*s/9 - 32/9 = 0. What is s?
-2, -2/5, 1, 2
Factor 2*k**3/11 - 126*k**2/11 + 784*k/11.
2*k*(k - 56)*(k - 7)/11
Factor 2*v**3/3 - 104*v**2/3 - 326*v/3 - 220/3.
2*(v - 55)*(v + 1)*(v + 2)/3
Let -2*f**2/7 + 116*f/7 + 240/7 = 0. Calculate f.
-2, 60
Factor 2*s**2/9 - 1120*s/9 - 1126/3.
2*(s - 563)*(s + 3)/9
Factor 144*g**4 + 2408*g**3 + 10329*g**2 + 2178*g.
g*(4*g + 33)**2*(9*g + 2)
Let 3*p**2 + 84*p = 0. What is p?
-28, 0
Suppose 5*w**3 - 10*w**2 - 65*w - 50 = 0. Calculate w.
-2, -1, 5
Factor 3*z**4 - 2274*z**3 + 433191*z**2 - 859572*z + 428652.
3*(z - 378)**2*(z - 1)**2
Factor 2*i**4/7 + 2*i**3/7 - 2*i**2/7 - 2*i/7.
2*i*(i - 1)*(i + 1)**2/7
Solve -6*q**5 + 39*q**4 + 54*q**3 - 372*q**2 - 408*q + 288 = 0 for q.
-2, 1/2, 4, 6
Let -3*x**4/4 - 141*x**3/4 - 993*x**2/4 - 2259*x/4 - 351 = 0. Calculate x.
-39, -4, -3, -1
Factor 2*l**4/5 - 78*l**3/5 + 126*l**2 + 2646*l/5.
2*l*(l - 21)**2*(l + 3)/5
Factor -q**3/3 - 29*q**2/3.
-q**2*(q + 29)/3
Factor 3*g**2 + 1440*g + 1437.
3*(g + 1)*(g + 479)
What is v in v**3/4 + 3*v**2/2 + 3*v/4 - 5/2 = 0?
-5, -2, 1
Determine r, given that 3*r**5/4 + 15*r**4/2 + 45*r**3/2 + 30*r**2 + 75*r/4 + 9/2 = 0.
-6, -1
Let 2*q**3 - 56*q**2 + 282*q - 396 = 0. Calculate q.
3, 22
Factor p**2 - 6*p + 5.
(p - 5)*(p - 1)
Factor l**2/6 + 5*l.
l*(l + 30)/6
Factor -p**5/4 - 25*p**4/4 - 95*p**3/2 - 135*p**2/2 + 1215*p/4 - 729/4.
-(p - 1)**2*(p + 9)**3/4
Factor -2*d**4 + 26*d**3 + 58*d**2 + 30*d.
-2*d*(d - 15)*(d + 1)**2
Factor -2*g**2 - 8*g + 10.
-2*(g - 1)*(g + 5)
Factor -250*s**5 - 140350*s**4 + 224960*s**3 - 135056*s**2 + 180128*s/5 - 18016/5.
-2*(s + 563)*(5*s - 2)**4/5
Factor -c**5/4 + 13*c**4.
-c**4*(c - 52)/4
Factor -2*m**2/11 + 40*m/11.
-2*m*(m - 20)/11
Solve 2*p**2/11 - 48*p/11 + 288/11 = 0.
12
Let 45*t**4 - 51*t**3 + 6*t**2 = 0. What is t?
0, 2/15, 1
Factor f**2 + 103*f + 202.
(f + 2)*(f + 101)
Factor 4*r**3 - 16*r**2 - 76*r - 56.
4*(r - 7)*(r + 1)*(r + 2)
Suppose -10*q**4 - 185*q**3 + 310*q**2 + 200*q = 0. Calculate q.
-20, -1/2, 0, 2
Let -2*n**4/7 - 18*n**3/7 + 134*n**2/7 - 102*n/7 - 36 = 0. Calculate n.
-14, -1, 3
Factor -2*h**4/23 + 664*h**3/23 - 57068*h**2/23 + 324696*h/23 - 478242/23.
-2*(h - 163)**2*(h - 3)**2/23
Determine t so that t**2/6 + 205*t/6 + 101 = 0.
-202, -3
Factor -50*a**3/21 + 38540*a**2/21 - 30808*a/21 + 880/3.
-2*(a - 770)*(5*a - 2)**2/21
Find q, given that -3*q**3/5 - 561*q**2/5 - 5301*q - 25947/5 = 0.
-93, -1
Factor 3*x**4 + 294*x**3 - 300*x**2 - 294*x + 297.
3*(x - 1)**2*(x + 1)*(x + 99)
Suppose 2*p**3/9 + 2*p**2/9 - 16*p/9 - 8/3 = 0. Calculate p.
-2, 3
Let -u**4/4 + 323*u**3/4 - 34989*u**2/4 + 1293737*u/4 - 1225043/2 = 0. What is u?
2, 107
Factor -k**2/11 + 2*k/11.
-k*(k - 2)/11
Suppose 27*u**4/4 - 99*u**3 + 291*u**2 + 528*u + 192 = 0. What is u?
-2/3, 8
Factor s**5/7 + 4*s**4/7 - s**3/7 - 4*s**2/7.
s**2*(s - 1)*(s + 1)*(s + 4)/7
Factor 4*t**3/3 + 60*t**2 + 116*t + 172/3.
4*(t + 1)**2*(t + 43)/3
Solve q**2/4 - 63*q/4 + 61/2 = 0 for q.
2, 61
Solve y**2/8 + 43*y/4 + 21 = 0.
-84, -2
Factor v**4/3 - v**3/3 - v**2/3 + v/3.
v*(v - 1)**2*(v + 1)/3
Factor -m**3 - 93*m**2 - 692*m - 1020.
-(m + 2)*(m + 6)*(m + 85)
Suppose 2*l**3 + 3524*l**2 + 1552322*l = 0. Calculate l.
-881, 0
Determine w, given that -9*w**5 - 933*w**4 - 31053*w**3 - 322383*w**2 + 110946*w = 0.
-41, -22, 0, 1/3
Determine u, given that 6*u**2/11 - 54*u/11 - 312/11 = 0.
-4, 13
Suppose -5*l**5 + 605*l**4 + 3185*l**3 - 4385*l**2 - 3180*l + 3780 = 0. What is l?
-6, -1, 1, 126
Determine v so that 2*v**4 + 44*v**3 + 40*v**2 - 44*v - 42 = 0.
-21, -1, 1
Factor x**4 + 2*x**3 - 3*x**2 - 8*x - 4.
(x - 2)*(x + 1)**2*(x + 2)
Factor 3*v**4 - 27*v**3 - 3*v**2 + 27*v.
3*v*(v - 9)*(v - 1)*(v + 1)
Find l, given that 2*l**4/17 - 12*l**2/17 + 16*l/17 - 6/17 = 0.
-3, 1
Factor v**2/6 - 559*v/3 + 312481/6.
(v - 559)**2/6
Factor -c**4/4 - 7*c**3/4 - 5*c**2/4 + 7*c/4 + 3/2.
-(c - 1)*(c + 1)**2*(c + 6)/4
Factor -30*q**4/7 - 159*q**3/7 - 234*q**2/7 + 12*q/7 + 24.
-3*(q + 2)**3*(10*q - 7)/7
Suppose -20*f**5 - 140*f**4 + 15*f**3 + 100*f**2 - 35*f = 0. What is f?
-7, -1, 0, 1/2
Factor 2*z**4 + 2*z**3 - 2*z**2 - 2*z.
2*z*(z - 1)*(z + 1)**2
Factor 2*j**2/5 + 32*j/5 - 34/5.
2*(j - 1)*(j + 17)/5
Factor