.
-5*(i - 3)*(i + 20)
Find v such that -2*v**2/9 + 7790*v/9 - 15572/9 = 0.
2, 3893
Let h**3/4 + h**2 - 11*h/4 + 3/2 = 0. Calculate h.
-6, 1
Solve 2*z**4 + 10*z**3 - 184*z**2 - 192*z = 0 for z.
-12, -1, 0, 8
Factor -2*c**2/5 - 28*c/5 - 26/5.
-2*(c + 1)*(c + 13)/5
Find y such that y**2 + 10*y - 39 = 0.
-13, 3
Factor c**5/6 - c**4/3 - 2*c**3/3 + c**2/3 + c/2.
c*(c - 3)*(c - 1)*(c + 1)**2/6
Factor -v**2 - 5*v - 4.
-(v + 1)*(v + 4)
Determine n, given that -3*n**4/2 + 3*n**2 - 3/2 = 0.
-1, 1
Factor 4*u**2 - 21416*u + 28665316.
4*(u - 2677)**2
Determine p, given that -2*p**5/11 - 32*p**4/11 - 74*p**3/11 + 252*p**2/11 - 144*p/11 = 0.
-12, -6, 0, 1
Factor -20*y**3 + 81*y**2 - 84*y + 4.
-(y - 2)**2*(20*y - 1)
Solve -39*c**4/7 + 123*c**3/7 - 18*c**2/7 - 156*c/7 + 24/7 = 0.
-1, 2/13, 2
Let r**4/4 + 918*r**3 + 842724*r**2 = 0. Calculate r.
-1836, 0
Factor m**2/10 + 67*m/5 + 4489/10.
(m + 67)**2/10
Factor -11907*c**4 - 756*c**3 - 12*c**2.
-3*c**2*(63*c + 2)**2
Factor 4*x**4/7 - 432*x**3/7 - 7080*x**2/7 - 5200*x - 61500/7.
4*(x - 123)*(x + 5)**3/7
Solve -f**4 - 43*f**3/2 - 5*f**2 + 241*f/2 + 105 = 0.
-21, -2, -1, 5/2
Solve 5*t**2 + 150*t + 1125 = 0 for t.
-15
Factor 4*x**2/5 - 388*x/5 - 792/5.
4*(x - 99)*(x + 2)/5
Factor 4*k**2 + 476*k + 472.
4*(k + 1)*(k + 118)
Let -4*r**4 - 172*r**3 - 332*r**2 - 164*r = 0. Calculate r.
-41, -1, 0
Determine g, given that 8*g**4/3 + 16*g**3 + 26*g**2/3 - 22*g + 20/3 = 0.
-5, -2, 1/2
Let 4*q**4 - 148*q**3 + 144*q**2 = 0. Calculate q.
0, 1, 36
Let -36*v**4 + 1383*v**3 - 5304*v**2 - 3453*v - 510 = 0. What is v?
-1/3, -1/4, 5, 34
What is t in -4*t**2 - 160*t = 0?
-40, 0
What is c in -8*c**2/3 - 1211*c/3 - 151 = 0?
-151, -3/8
Find u such that -u**3 + 28*u**2 - 260*u + 800 = 0.
8, 10
Factor 4*o**5 - 36*o**4 - 12*o**3 + 116*o**2 - 72*o.
4*o*(o - 9)*(o - 1)**2*(o + 2)
Factor 2*f**2/5 - 58*f/5 + 56/5.
2*(f - 28)*(f - 1)/5
Suppose 2*t**4/13 + 320*t**3/13 + 13116*t**2/13 + 25280*t/13 + 12482/13 = 0. What is t?
-79, -1
Determine r so that -2*r**5 - 2*r**4 + 6*r**3 + 2*r**2 - 4*r = 0.
-2, -1, 0, 1
Factor -2*z**2/17 + 6*z.
-2*z*(z - 51)/17
Suppose a**4 - 28*a**3 + 181*a**2 - 438*a + 360 = 0. Calculate a.
2, 3, 20
Factor 5*x**3 - 14*x**2 - 4*x + 24.
(x - 2)**2*(5*x + 6)
Find c such that 5*c**4 + 20*c**3 + 25*c**2 + 10*c = 0.
-2, -1, 0
Factor 2*k**2/5 - 116*k/5 + 224/5.
2*(k - 56)*(k - 2)/5
Factor q**2 - 64*q + 63.
(q - 63)*(q - 1)
Factor q**3 + 557*q**2/4 + 1235*q/4 + 137/2.
(q + 2)*(q + 137)*(4*q + 1)/4
Suppose 5*m**3 - 485*m**2 + 13275*m - 70875 = 0. Calculate m.
7, 45
Find u such that -2*u**2 + 2268*u - 642978 = 0.
567
Let -x**5 + x**4 + 63*x**3 - 157*x**2 - 530*x + 1200 = 0. Calculate x.
-8, -3, 2, 5
Factor -3*w**3 - 192*w**2 - 375*w - 186.
-3*(w + 1)**2*(w + 62)
Factor 4*k**3 - 1404*k**2.
4*k**2*(k - 351)
Factor -4*m**4 - 24*m**3 - 44*m**2 - 24*m.
-4*m*(m + 1)*(m + 2)*(m + 3)
Factor -2*h**4 + 388*h**3 - 18018*h**2 - 78408*h.
-2*h*(h - 99)**2*(h + 4)
Factor r**3 - 359*r**2 + 358*r.
r*(r - 358)*(r - 1)
Find v such that -45*v**5 + 150*v**4 - 140*v**3 + 40*v**2 = 0.
0, 2/3, 2
Factor -z**3/2 + 4*z**2.
-z**2*(z - 8)/2
Factor 5*v**2/3 - 2110*v.
5*v*(v - 1266)/3
Factor 9923847*v**3 - 1798281*v**2 + 108621*v - 2187.
3*(149*v - 9)**3
Suppose -5*z**3/4 + 1055*z**2 + 8455*z/4 + 2115/2 = 0. Calculate z.
-1, 846
Solve -4*u**4 - 1072*u**3 + 6540*u**2 - 9864*u = 0 for u.
-274, 0, 3
Determine s so that -s**2/3 + 734*s/3 - 134689/3 = 0.
367
Factor -x**4/2 - 30*x**3 - 439*x**2 - 2070*x - 3321/2.
-(x + 1)*(x + 9)**2*(x + 41)/2
Determine g so that -5*g**5 + 60*g**4 - 90*g**3 - 520*g**2 + 1095*g - 540 = 0.
-3, 1, 4, 9
Factor 2*d**3/3 - 914*d**2/3 + 106672*d/3 - 510760/3.
2*(d - 226)**2*(d - 5)/3
Factor 7*s**5 - 68*s**4 + 155*s**3 + 50*s**2.
s**2*(s - 5)**2*(7*s + 2)
Factor -20*s**3 - 1496*s**2 + 300*s.
-4*s*(s + 75)*(5*s - 1)
Find o such that -5*o**2 + 50*o + 480 = 0.
-6, 16
Factor -3*c**4 + 129*c**3 - 1566*c**2 + 3840*c - 2400.
-3*(c - 20)**2*(c - 2)*(c - 1)
Suppose k**2 + 845*k + 844 = 0. Calculate k.
-844, -1
Factor -2*m**3/17 - 2*m**2/17 + 4*m/17.
-2*m*(m - 1)*(m + 2)/17
Determine o, given that o**3/4 + 243*o**2/4 + 19683*o/4 + 531441/4 = 0.
-81
Factor 4*a**2 + 80*a + 400.
4*(a + 10)**2
What is w in -2*w**3/3 + 16*w**2 - 46*w/3 = 0?
0, 1, 23
Factor -6*q**2 - 32*q - 10.
-2*(q + 5)*(3*q + 1)
Solve -4*h**3 + 104*h**2 + 220*h + 112 = 0.
-1, 28
Determine d so that d**2/7 + 221*d/7 + 654/7 = 0.
-218, -3
Suppose 5*q**5 - 10*q**3 + 5*q = 0. What is q?
-1, 0, 1
Suppose s**3/6 - s**2/2 - 2*s/3 + 2 = 0. Calculate s.
-2, 2, 3
Factor -l**5/6 - 785*l**4/3 - 1045*l**3 - 4700*l**2/3 - 6265*l/6 - 261.
-(l + 1)**4*(l + 1566)/6
Factor -i**2/9 - 124*i/9 - 3844/9.
-(i + 62)**2/9
Determine u so that 3*u**2 - 2988*u + 744012 = 0.
498
Factor -4*s**3 - 48*s**2 + 172*s - 120.
-4*(s - 2)*(s - 1)*(s + 15)
Suppose -n**4/4 - 13*n**3/4 - 21*n**2/4 + 13*n/4 + 11/2 = 0. Calculate n.
-11, -2, -1, 1
Let 2*m**4 - 28*m**3 + 46*m**2 + 28*m - 48 = 0. What is m?
-1, 1, 2, 12
Factor 7*m**4/6 - 23*m**3/6 + 9*m**2/2 - 13*m/6 + 1/3.
(m - 1)**3*(7*m - 2)/6
Factor r**3 - 3*r**2 - 4*r.
r*(r - 4)*(r + 1)
Suppose -35*t**5 + 130*t**4 + 15*t**3 - 410*t**2 + 100*t + 360 = 0. Calculate t.
-9/7, -1, 2
Let -8*y**5 + 156*y**4/7 + 372*y**3/7 - 1496*y**2/7 + 144*y + 288/7 = 0. What is y?
-3, -3/14, 2
Factor -6*u**2/11 - 196*u/11 + 6.
-2*(u + 33)*(3*u - 1)/11
Factor -2*y**2/3 + 2396*y - 2152806.
-2*(y - 1797)**2/3
Factor 5*j**2 + 3930*j + 772245.
5*(j + 393)**2
Determine s so that 54*s**4/11 - 126*s**3/11 - 12*s**2 + 56*s/11 + 48/11 = 0.
-2/3, 2/3, 3
What is j in -28*j**4 + 12*j**3 + 28*j**2 - 12*j = 0?
-1, 0, 3/7, 1
Factor 2*h**2 - 24*h + 72.
2*(h - 6)**2
Solve -5*q**5/2 - 31*q**4 + 93*q**3 - 68*q**2 - 13*q/2 + 15 = 0 for q.
-15, -2/5, 1
Factor 3*h**4/2 + 453*h**3/2 + 8436*h**2 - 8664*h.
3*h*(h - 1)*(h + 76)**2/2
Factor -4*d**2 + 116*d - 312.
-4*(d - 26)*(d - 3)
Solve 3*s**4 + 18*s**3 + 9*s**2 - 78*s - 72 = 0 for s.
-4, -3, -1, 2
Factor -2*v**3/3 - 1372*v**2/3.
-2*v**2*(v + 686)/3
Solve -d**5/8 - 2*d**4 + 37*d**3/4 - 29*d**2/2 + 79*d/8 - 5/2 = 0.
-20, 1
Find y, given that -3*y**3/7 + 57*y/7 + 90/7 = 0.
-3, -2, 5
Factor 4*b**2 + 1300*b + 5136.
4*(b + 4)*(b + 321)
Factor -5*r**3 + 30*r**2 + 5*r - 30.
-5*(r - 6)*(r - 1)*(r + 1)
Let -3*t**5/7 + 3*t**4 - 18*t**3/7 - 66*t**2/7 + 3*t + 45/7 = 0. What is t?
-1, 1, 3, 5
Factor 2*x**4/9 + 130*x**3/9 + 42*x**2 + 374*x/9 + 124/9.
2*(x + 1)**3*(x + 62)/9
What is n in n**3/2 - 17*n**2/3 + 14*n + 12 = 0?
-2/3, 6
Factor -2*o**5/13 + 7754*o**4/13 - 10015580*o**3/13 + 4303347084*o**2/13 + 8636771934*o/13 + 4323401514/13.
-2*(o - 1293)**3*(o + 1)**2/13
Suppose -2*a**4/3 - 15*a**3 + 938*a**2/3 - 416*a - 288 = 0. What is a?
-36, -1/2, 2, 12
Factor 4*d**4 + 18*d**3 + 8*d**2.
2*d**2*(d + 4)*(2*d + 1)
Factor b**3 + 153*b**2 - 628*b.
b*(b - 4)*(b + 157)
Solve 3*c**5 - 3*c**3 = 0 for c.
-1, 0, 1
Factor -2*g**4 + 56*g**2 + 96*g.
-2*g*(g - 6)*(g + 2)*(g + 4)
Factor 3*y**4 - 21*y**3 + 54*y**2 - 60*y + 24.
3*(y - 2)**3*(y - 1)
Factor 4*k**3 - 16*k**2 - 768*k.
4*k*(k - 16)*(k + 12)
Let 5*x**3 - 455*x**2 + 10575*x - 10125 = 0. What is x?
1, 45
Factor -2*z**3/5 + 6*z**2/5 - 6*z/5 + 2/5.
-2*(z - 1)**3/5
Solve -f**2/4 + 25*f/4 + 27/2 = 0 for f.
-2, 27
Factor -2*s**2/15 - 14*s/15 - 8/5.
-2*(s + 3)*(s + 4)/15
Factor -2*k**5/7 - 6*k**4/7 - 4*k**3/7 + 4*k**2/7 + 6*k/7 + 2/7.
-2*(k - 1)*(k + 1)**4/7
Factor -4*x**2 + 56*x + 288.
-4*(x - 18)*(x + 4)
Solve 2*t**5/7 - 6*t**4/7 - 2*t**3/7 + 6*t**2/7 = 0 for t.
-1, 0, 1, 3
Find t, given that -3*t**3 - 147*t**2 - 552*t - 540 = 0.
-45, -2
Factor -4*p**2 - 800*p - 40000.
-4*(p + 100)**2
Factor q**5/3 - 3*q**4 + 23*q**3/3 - 5*q**2.
q**2*(q - 5)*(q - 3)*(q - 1)/3
Suppose -2*v**3/7 - 2*v**2 - 12*v/7 = 0. Calculate v.
-6, -1, 0
Factor 4*u**4 + 648*u**3 - 652*u**2.
4*u**2*(u - 1)*(u + 163)
Factor 2*t**4/7 - 8*t**3/7 - 30*t**2/7 + 36*t/7.
2*t*(t - 6)*(t - 1)*(t + 3)/7
Suppose -w**4/8 - 47*w**3/8 + 99*w**2/8 + 47*w/8 - 49/4 = 0. Calculate w.
-49, -1, 1, 2
What is s in -3*s**3 + 486*s**2 - 1905*s + 1422 = 0?
1, 3, 158
Factor 4*w**4 + 84*w**3 + 396*w**2 - 484*w.
4*w*(w - 1)*(w + 11)**2
Factor -4*u**3 - 36*u**2 + 1096*u - 1056.
-4*(u - 12)*(u - 1)*(u + 22)
Find h such that -h**2 - 140*h + 141 = 0.
-141, 1
Suppose b**2/6 + 641*b/6 = 0. Calculate b.
-641, 0
Determ