q**3 + 1985*q**2 + 3955*q + 1975 = 0. What is q?
-395, -1
Solve -2*c**2/13 + 4*c/13 + 30 = 0 for c.
-13, 15
Factor 2*s**4 - 44*s**3 + 254*s**2 - 420*s.
2*s*(s - 14)*(s - 5)*(s - 3)
Suppose i**2/2 - 41*i/2 - 90 = 0. Calculate i.
-4, 45
Find d such that -5*d**4 + 20*d**3 - 10*d**2 - 20*d + 15 = 0.
-1, 1, 3
Factor 160*q**2/11 + 74*q/11 + 4/11.
2*(5*q + 2)*(16*q + 1)/11
Determine u, given that -3*u**4/4 - 207*u**3/4 + 789*u**2/2 - 342*u = 0.
-76, 0, 1, 6
Factor 3*z**3 - 33*z**2 - 168*z - 180.
3*(z - 15)*(z + 2)**2
Factor -k**4 - 16*k**3 + 2*k**2 + 528*k - 1089.
-(k - 3)**2*(k + 11)**2
Determine g so that -2*g**2 - 22*g - 48 = 0.
-8, -3
Let x**2 + 493*x + 2922 = 0. Calculate x.
-487, -6
Find o such that -2*o**2/7 - 5196*o/7 - 3374802/7 = 0.
-1299
Find z, given that 4*z**4 + 290*z**3 + 978*z**2 + 828*z = 0.
-69, -2, -3/2, 0
Factor m**3/12 + 17*m**2/12 - 43*m/4 + 69/4.
(m - 3)**2*(m + 23)/12
Determine k, given that 6750*k**5/7 - 704700*k**4/7 - 427590*k**3/7 + 246044*k**2/7 - 36136*k/7 + 240 = 0.
-1, 2/15, 105
Suppose -u**3/4 + 5*u**2/4 + 6*u = 0. Calculate u.
-3, 0, 8
Find w, given that 2*w**3 + 10*w**2 - 82*w - 90 = 0.
-9, -1, 5
Factor -3*j**3 + 42*j**2 - 45*j - 594.
-3*(j - 11)*(j - 6)*(j + 3)
Factor -2*l**2/11 - 54*l/11 + 4340/11.
-2*(l - 35)*(l + 62)/11
Suppose -2*u**2/13 - 186*u/13 + 188/13 = 0. Calculate u.
-94, 1
Factor 3*k**2/2 - 66*k + 126.
3*(k - 42)*(k - 2)/2
Factor -11*t**2 + 310*t - 56.
-(t - 28)*(11*t - 2)
Factor -3*z**4 + 48*z**3.
-3*z**3*(z - 16)
Factor 2*u**2/15 - 2*u/15.
2*u*(u - 1)/15
Let -4*z**5/13 + 2*z**4/13 + 30*z**3/13 - 38*z**2/13 - 2*z/13 + 12/13 = 0. Calculate z.
-3, -1/2, 1, 2
Find n such that -n**5/3 - 3*n**4 - 8*n**3 - 16*n**2/3 = 0.
-4, -1, 0
Factor -l**5 + 76*l**4 - 1464*l**3 - 8640*l**2 + 313200*l + 648000.
-(l - 30)**3*(l + 2)*(l + 12)
Factor 2*l**3/19 + 122*l**2/19 + 1068*l/19 + 2448/19.
2*(l + 4)*(l + 6)*(l + 51)/19
Factor 219*t**2/4 + 1317*t/4 + 9/2.
3*(t + 6)*(73*t + 1)/4
Factor 3*u**4 + 345*u**3 - 4053*u**2 + 13155*u - 9450.
3*(u - 5)**2*(u - 1)*(u + 126)
Suppose -y**4 - 5*y**3 - 3*y**2 + 5*y + 4 = 0. Calculate y.
-4, -1, 1
Factor 3*j**4 - 39*j**3 + 69*j**2 - 33*j.
3*j*(j - 11)*(j - 1)**2
Factor 4*b**3 - 92*b**2 + 248*b - 160.
4*(b - 20)*(b - 2)*(b - 1)
Determine i, given that i**4/3 + 35*i**3/3 + 67*i**2/3 + 11*i = 0.
-33, -1, 0
Determine b so that 4*b**5/13 + 30*b**4/13 - 2*b**3 - 84*b**2/13 - 32*b/13 = 0.
-8, -1, -1/2, 0, 2
Factor 4*l**2/7 + 2816*l/7 + 495616/7.
4*(l + 352)**2/7
Factor 4*v**3 - 336*v**2 - 7920*v - 41600.
4*(v - 104)*(v + 10)**2
Solve -2*b**2 + 116*b = 0.
0, 58
Factor 5*r**5 + 25*r**4 + 30*r**3 - 20*r**2 - 40*r.
5*r*(r - 1)*(r + 2)**3
Solve 3*p**5 + 3*p**4 - 21*p**3 - 39*p**2 - 18*p = 0 for p.
-2, -1, 0, 3
Suppose 9*r**5/4 - 58*r**4 + 311*r**3 - 819*r**2/2 + 427*r/4 + 95/2 = 0. Calculate r.
-2/9, 1, 5, 19
Solve 4*z**3 + 36*z**2 + 32*z = 0 for z.
-8, -1, 0
Factor -4*q**2 + 3056*q - 583696.
-4*(q - 382)**2
Determine m so that m**3 - 9*m**2 + 24*m - 16 = 0.
1, 4
Factor -y**2 - 259*y.
-y*(y + 259)
Factor -3*o**3 + 69*o**2 - 354*o + 288.
-3*(o - 16)*(o - 6)*(o - 1)
Solve -2*b**3 - 24*b**2 + 198*b - 324 = 0 for b.
-18, 3
Suppose 6*h**5/17 + 416*h**4/17 + 128*h**3/17 - 692*h**2/17 - 134*h/17 + 276/17 = 0. Calculate h.
-69, -1, 2/3, 1
Let 17094005*x**5 + 4770420*x**4 + 499230*x**3 + 23220*x**2 + 405*x = 0. What is x?
-3/43, 0
Solve -2*j**4 - 82*j**3 - 234*j**2 - 230*j - 76 = 0.
-38, -1
Find z, given that 5*z**3 + 70*z**2 + 105*z - 180 = 0.
-12, -3, 1
Let -q**5 + 7*q**4 + 69*q**3 + 113*q**2 + 52*q = 0. Calculate q.
-4, -1, 0, 13
Find x, given that 3*x**4 - 54*x**2 - 96*x - 45 = 0.
-3, -1, 5
Determine k so that -k**4 - k**3 + 16*k**2 + 16*k = 0.
-4, -1, 0, 4
Let 2*m**2/7 + 8*m/7 + 8/7 = 0. What is m?
-2
Factor 4*f**2/5 - 88*f/5 - 60.
4*(f - 25)*(f + 3)/5
Factor -3*p**2/2 - 12*p - 21/2.
-3*(p + 1)*(p + 7)/2
Suppose -x**3/3 - 21*x**2 = 0. What is x?
-63, 0
Factor -2*h**3 - 86*h**2 + 1484*h + 1568.
-2*(h - 14)*(h + 1)*(h + 56)
Suppose g**4/7 + 13*g**3/7 - 29*g**2/7 + 15*g/7 = 0. What is g?
-15, 0, 1
Factor -j**4/5 + j**3/5 + 49*j**2/5 - 49*j/5.
-j*(j - 7)*(j - 1)*(j + 7)/5
Factor 2*x**4/7 - 34*x**3/7 + 160*x**2/7 - 128*x/7.
2*x*(x - 8)**2*(x - 1)/7
Determine h, given that 3*h**3 + 33*h**2 + 108*h + 108 = 0.
-6, -3, -2
Find b such that -4*b**2 + 600*b - 22500 = 0.
75
Factor -3*p**3 + 57*p**2 + 126*p.
-3*p*(p - 21)*(p + 2)
Factor 2*m**5 + 962*m**4 + 960*m**3.
2*m**3*(m + 1)*(m + 480)
Suppose -3*b**2/7 - 27*b/7 + 30/7 = 0. What is b?
-10, 1
Factor s**3/7 + 22*s**2 - 809*s/7 - 318.
(s - 7)*(s + 2)*(s + 159)/7
What is b in -39*b**4 + 33*b**3 + 84*b**2 + 12*b = 0?
-1, -2/13, 0, 2
What is z in 3*z**3 + 147*z**2 + 144*z = 0?
-48, -1, 0
Factor -5*d**2 - 1425*d - 1420.
-5*(d + 1)*(d + 284)
Factor 125*u**2/4 + 3050*u + 74420.
5*(5*u + 244)**2/4
Let 4*h**5 + 100*h**4 + 568*h**3 - 776*h**2 - 572*h + 676 = 0. What is h?
-13, -1, 1
Factor -155*p**2 - 89*p/2 + 7.
-(5*p + 2)*(62*p - 7)/2
Factor -3*y**3 - 51*y**2 + 180*y.
-3*y*(y - 3)*(y + 20)
Factor -4*y**4 + 140*y**3 - 1284*y**2 + 884*y + 2312.
-4*(y - 17)**2*(y - 2)*(y + 1)
Factor 125*q**3 - 345*q**2 + 160*q + 60.
5*(q - 2)*(q - 1)*(25*q + 6)
Let 12*n**3 + 23*n**2 + 13*n + 2 = 0. What is n?
-1, -2/3, -1/4
Find w such that 3*w**3 - 1860*w**2 + 282639*w + 1763442 = 0.
-6, 313
Factor 162*m**2 + 180*m + 50.
2*(9*m + 5)**2
Determine o, given that -o**5/9 - o**4 + 6*o**3 + 30*o**2 - 189*o + 243 = 0.
-9, 3
Let -z**2/3 + 226*z/3 - 12769/3 = 0. Calculate z.
113
Factor 3*u**4/4 - 6*u**3 + 9*u**2/2 + 30*u + 75/4.
3*(u - 5)**2*(u + 1)**2/4
Let 2*c**3/23 - 2250*c**2/23 + 631686*c/23 + 633938/23 = 0. Calculate c.
-1, 563
Factor a**2 + 30*a + 189.
(a + 9)*(a + 21)
Factor -2*b**4 - 100*b**3 - 632*b**2 - 1308*b - 774.
-2*(b + 1)*(b + 3)**2*(b + 43)
Suppose b**5/2 + b**4/2 - b**3/2 - b**2/2 = 0. Calculate b.
-1, 0, 1
Find m such that 3*m**3/2 - 15*m**2/2 = 0.
0, 5
Factor 36*k**3 + 872*k**2 + 1020*k + 184.
4*(k + 1)*(k + 23)*(9*k + 2)
Find l, given that l**2/9 - 155*l/3 - 466/9 = 0.
-1, 466
Factor 4*q**2/7 + 72*q/7 - 160/7.
4*(q - 2)*(q + 20)/7
Factor h**2/4 - 205*h/4 - 371.
(h - 212)*(h + 7)/4
Determine y, given that -8*y**3/9 + 10*y**2/3 + 2*y - 40/9 = 0.
-5/4, 1, 4
Suppose -4*g**2/7 + 88*g/7 = 0. Calculate g.
0, 22
Suppose 27*s**3/4 - 477*s**2/4 + 1785*s/4 - 1911/4 = 0. Calculate s.
7/3, 13
Factor 2*r**3 + 4*r**2 - 70*r.
2*r*(r - 5)*(r + 7)
Factor 16*g**2/5 + 10146*g/5 + 1268/5.
2*(g + 634)*(8*g + 1)/5
What is w in 2*w**3/3 + 14*w**2/9 - 22*w/9 - 10/3 = 0?
-3, -1, 5/3
Find a such that 4*a**3/3 + 40*a**2/3 - 64*a - 384 = 0.
-12, -4, 6
Suppose -2*y**2 - 1084*y = 0. What is y?
-542, 0
Solve -2*s**4 - 80*s**3 - 510*s**2 + 80*s + 512 = 0 for s.
-32, -8, -1, 1
Suppose -3*o**5/7 - 66*o**4/7 + 141*o**3/7 - 72*o**2/7 = 0. Calculate o.
-24, 0, 1
Solve -2*d**2 + 244*d - 714 = 0 for d.
3, 119
Factor -2*s**3/7 + 548*s**2/7 + 1102*s/7 + 552/7.
-2*(s - 276)*(s + 1)**2/7
Find u, given that 4*u**3 + 188*u**2 + 184*u = 0.
-46, -1, 0
Factor y**4/4 - 7*y**3/4 - 21*y**2/4 + 27*y/4.
y*(y - 9)*(y - 1)*(y + 3)/4
Factor 2*h**2 + 1468*h + 269378.
2*(h + 367)**2
Solve 5*z**3 - 10*z**2 - 75*z + 180 = 0.
-4, 3
Let z**2 - 19*z + 88 = 0. What is z?
8, 11
What is g in 3*g**5 + 432*g**4 + 1275*g**3 + 846*g**2 = 0?
-141, -2, -1, 0
Factor -2*a**3/3 - 12*a**2 - 94*a/3 - 20.
-2*(a + 1)*(a + 2)*(a + 15)/3
Determine z, given that -21*z**2 - 288*z/7 + 12/7 = 0.
-2, 2/49
Factor 4*f**4 - 472*f**3 + 14388*f**2 - 27376*f + 13456.
4*(f - 58)**2*(f - 1)**2
Factor -5*y**2 + 35*y - 50.
-5*(y - 5)*(y - 2)
Factor -h**4/2 + 3*h**3 - 11*h**2/2 + 3*h.
-h*(h - 3)*(h - 2)*(h - 1)/2
Let -l**4 - 4*l**3 - 4*l**2 = 0. Calculate l.
-2, 0
Find h such that -5*h**2 - 2620*h - 343220 = 0.
-262
Suppose -5*c**3 - 390*c**2 + 5*c + 390 = 0. What is c?
-78, -1, 1
Solve -f**4 - 3*f**3 + 9*f**2 + 23*f + 12 = 0 for f.
-4, -1, 3
Suppose 2*v**5/13 - 22*v**4/13 + 20*v**3/13 = 0. Calculate v.
0, 1, 10
Factor -z**3/6 + z**2/3 + 2*z/3 - 4/3.
-(z - 2)**2*(z + 2)/6
Factor -g**2/2 - 114*g - 226.
-(g + 2)*(g + 226)/2
Factor -o**2/3 + 76*o/3 - 1444/3.
-(o - 38)**2/3
Determine l, given that -3*l**4 + 399*l**3 - 7497*l**2 + 50421*l - 115248 = 0.
7, 112
What is p in -2*p**2/13 - 344*p/13 = 0?
-172, 0
Let -66*a**5/7 + 219*a**4/7 + 207*a**3/7 - 102*a**2/7 - 24*a/7 = 