
-2, 0, 4
What is p in -5*p**4/2 - 601*p**3/2 - 60*p**2 = 0?
-120, -1/5, 0
Factor 6*d**3/7 - 8*d**2/7 - 2*d/7 + 4/7.
2*(d - 1)**2*(3*d + 2)/7
Factor -5*c**4 - 10*c**3 + 75*c**2 + 160*c + 80.
-5*(c - 4)*(c + 1)**2*(c + 4)
Factor 2*q**2/3 + 184*q/3 + 182/3.
2*(q + 1)*(q + 91)/3
Factor g**3/4 + 13*g**2 - 343*g/4 + 145/2.
(g - 5)*(g - 1)*(g + 58)/4
Let 2*x**5 - 10*x**4 - 2*x**3 + 10*x**2 = 0. What is x?
-1, 0, 1, 5
Find s such that 5*s**5 - 50*s**4 - 575*s**3 - 400*s**2 + 1020*s = 0.
-6, -2, 0, 1, 17
Factor o**2 + 1310*o + 429025.
(o + 655)**2
Factor -4*n**2 + 680*n.
-4*n*(n - 170)
Solve q**3/2 + 153*q**2 - 4431*q/2 + 7840 = 0.
-320, 7
Factor -2*h**3/11 - 110*h**2 - 183616*h/11 - 182408/11.
-2*(h + 1)*(h + 302)**2/11
What is r in -18*r**5 - 210*r**4 + 28*r**3 + 1868*r**2 + 1206*r + 198 = 0?
-11, -3, -1/3, 3
Determine j so that 2*j**2/11 - 32/11 = 0.
-4, 4
Determine g, given that 9*g**5/2 + 516*g**4 + 14436*g**3 - 20880*g**2 - 20184*g = 0.
-58, -2/3, 0, 2
Factor -f**4/2 + 37*f**3/2 - 321*f**2/2 + 427*f/2 + 1225.
-(f - 25)*(f - 7)**2*(f + 2)/2
Suppose 4*v**4 + 32*v**3 + 12*v**2 - 128*v - 112 = 0. What is v?
-7, -2, -1, 2
Factor 28*d**2 + 216*d - 64.
4*(d + 8)*(7*d - 2)
Solve -2*r**4/5 + 176*r**3/5 - 3692*r**2/5 - 1584*r - 810 = 0 for r.
-1, 45
Determine w, given that 5*w**4 + 25*w**3 - 65*w**2 + 35*w = 0.
-7, 0, 1
Solve 2*o**5 - 84*o**4 + 316*o**3 - 464*o**2 + 306*o - 76 = 0.
1, 38
Solve -w**2/5 - 3078*w/5 - 2368521/5 = 0.
-1539
Suppose 196*b**3 + 238*b**2 - 24*b - 72 = 0. What is b?
-6/7, 1/2
Find k such that -3*k**2/2 + 7524*k - 9435096 = 0.
2508
Factor -g**3/2 - 57*g**2 + 231*g/2 - 58.
-(g - 1)**2*(g + 116)/2
Find y such that -2*y**4 + 14*y**3 - 8*y**2 - 24*y = 0.
-1, 0, 2, 6
Let 12*w**5 - 272*w**4 + 1628*w**3 - 968*w**2 = 0. What is w?
0, 2/3, 11
Factor 2*t**4 + 4*t**3 - 40*t**2 + 48*t.
2*t*(t - 2)**2*(t + 6)
Solve -2*v**4/3 - 4*v**3 + 34*v**2 + 232*v/3 + 40 = 0.
-10, -1, 6
Factor -11*w**3 + 51*w**2 - 24*w - 16.
-(w - 4)*(w - 1)*(11*w + 4)
Find b, given that 3*b**4 - 60*b**3 + 156*b**2 + 1440*b + 1728 = 0.
-2, 12
Factor 2*d**3/7 - 6*d**2/7 - 50*d/7 - 6.
2*(d - 7)*(d + 1)*(d + 3)/7
Suppose 8*a**5/3 - 22*a**3/3 - 6*a**2 - 4*a/3 = 0. What is a?
-1, -1/2, 0, 2
Let -3*g**3 - 192*g**2 + 1491*g = 0. What is g?
-71, 0, 7
Factor -2*t**3 + 18*t**2 + 2*t - 18.
-2*(t - 9)*(t - 1)*(t + 1)
Solve y**3/4 + 4161*y**2/4 + 5771307*y/4 + 2668267603/4 = 0 for y.
-1387
Let -5*v**3 - 280*v**2 - 2560*v + 40960 = 0. Calculate v.
-32, 8
Find v, given that 2*v**4 + 520*v**3 + 36250*v**2 + 312500*v = 0.
-125, -10, 0
Factor -2*c**4/9 - 22*c**3/9 + 40*c**2/3.
-2*c**2*(c - 4)*(c + 15)/9
Let -z**5 + 3*z**4 + 5*z**3 - 15*z**2 - 4*z + 12 = 0. What is z?
-2, -1, 1, 2, 3
Determine d, given that -3*d**4/2 + 6*d**3 + 18*d**2 - 96*d + 96 = 0.
-4, 2, 4
Determine o so that -4*o**2 + 188*o + 392 = 0.
-2, 49
Factor 3*w**4 + 126*w**3 + 1971*w**2 + 13608*w + 34992.
3*(w + 9)**2*(w + 12)**2
Solve 4*x**5/9 + 16*x**4/9 - 4*x**3/3 - 136*x**2/9 - 208*x/9 - 32/3 = 0 for x.
-2, -1, 3
Factor -j**3 + 31*j**2 - 86*j + 56.
-(j - 28)*(j - 2)*(j - 1)
Find p such that -3*p**2/2 - 63*p - 120 = 0.
-40, -2
Factor -l**2 - 50*l - 301.
-(l + 7)*(l + 43)
Determine x, given that x**2 + x - 12 = 0.
-4, 3
Factor -5*x**3/6 + 97*x**2/6 + 140*x/3 + 22.
-(x - 22)*(x + 2)*(5*x + 3)/6
Factor 25*a**3 - 35*a**2 + 7*a + 3.
(a - 1)*(5*a - 3)*(5*a + 1)
Factor -4*s**3 + 124*s**2 - 1120*s + 2352.
-4*(s - 14)**2*(s - 3)
Find x, given that 2*x**5 + 56*x**4 + 578*x**3 + 2676*x**2 + 5400*x + 3888 = 0.
-9, -6, -2
Factor 4*p**3/3 - 11*p**2/3 - 101*p/3 - 42.
(p - 7)*(p + 2)*(4*p + 9)/3
Let 2*m**2/7 - 22*m/7 + 36/7 = 0. Calculate m.
2, 9
Determine u so that -u**5 - 67*u**4 - 425*u**3 - 293*u**2 + 426*u + 360 = 0.
-60, -6, -1, 1
Find z, given that -2*z**3 + 4728*z**2 - 3725664*z + 978607744 = 0.
788
Factor j**2/2 - 168*j + 14112.
(j - 168)**2/2
Determine b so that -63*b**4/5 + 186*b**3/5 + 129*b**2 + 12*b/5 - 12 = 0.
-2, -1/3, 2/7, 5
Let 2*l**3/13 - 146*l**2/13 + 22*l - 142/13 = 0. Calculate l.
1, 71
Determine c, given that c**4/5 + 102*c**3 - 1536*c**2/5 + 1538*c/5 - 513/5 = 0.
-513, 1
Let -2*b**2 + 64*b + 288 = 0. What is b?
-4, 36
Suppose -2*s**4 - 6*s**3 + 64*s**2 - 120*s + 64 = 0. Calculate s.
-8, 1, 2
What is w in -3*w**2/2 + 159*w/2 - 540 = 0?
8, 45
Factor -w**4 + w**3/3 + w**2 - w/3.
-w*(w - 1)*(w + 1)*(3*w - 1)/3
Factor 166*p**4/9 - 1000*p**3/9 + 224*p**2 - 1376*p/9 + 32/9.
2*(p - 2)**3*(83*p - 2)/9
Suppose -3*y**4/4 + 7*y**3 - 81*y**2/4 + 18*y - 4 = 0. What is y?
1/3, 1, 4
Factor -c**2 - 91*c - 178.
-(c + 2)*(c + 89)
Factor 2*d**3/17 - 22*d**2/17 - 290*d/17 - 266/17.
2*(d - 19)*(d + 1)*(d + 7)/17
Let 2*b**4/11 + 14*b**3/11 - 2*b**2/11 - 14*b/11 = 0. Calculate b.
-7, -1, 0, 1
Factor -15*l**2 - 84*l + 36.
-3*(l + 6)*(5*l - 2)
Solve -2*b**3/11 - 58*b**2/11 - 430*b/11 - 34 = 0.
-17, -11, -1
Factor 4*f**4/7 - 64*f**3/7 + 44*f**2 - 440*f/7 + 192/7.
4*(f - 8)*(f - 6)*(f - 1)**2/7
Factor -2*v**4 - 50*v**3 - 238*v**2 - 190*v.
-2*v*(v + 1)*(v + 5)*(v + 19)
Suppose -5*a**2/3 - 500*a/3 = 0. Calculate a.
-100, 0
What is w in w**3/5 - 6*w**2/5 + 11*w/5 - 6/5 = 0?
1, 2, 3
Let h**2 - 48*h + 432 = 0. What is h?
12, 36
Determine p, given that -p**2/5 - 562*p/5 - 78961/5 = 0.
-281
Determine a so that 3*a**2/8 - 1317*a/4 - 2637/8 = 0.
-1, 879
Suppose -2*f**3 + 18*f**2 - 22*f - 42 = 0. Calculate f.
-1, 3, 7
Solve -2*b**3 - 117*b**2 - 277*b + 168 = 0 for b.
-56, -3, 1/2
Factor k**5/3 - 9*k**4 + 23*k**3/3 + 83*k**2/3 - 44*k + 52/3.
(k - 26)*(k - 1)**3*(k + 2)/3
Determine p, given that -p**4/4 + 20*p**3 - 1341*p**2/4 - 5203*p/2 - 3698 = 0.
-4, -2, 43
Find c such that c**3/11 - 3*c**2/11 - 72*c/11 - 16 = 0.
-4, 11
Let -2*v**4 + 88*v**3 - 252*v**2 + 248*v - 82 = 0. Calculate v.
1, 41
Factor -36*c**2/5 + 37308*c/5 - 9665881/5.
-(6*c - 3109)**2/5
Factor 28*i**3 - 160*i**2 - 48*i.
4*i*(i - 6)*(7*i + 2)
Let o**4/2 - 6*o**3 + 49*o**2/2 - 39*o + 20 = 0. Calculate o.
1, 2, 4, 5
Factor -o**3/3 + 103*o**2/3 + 296*o.
-o*(o - 111)*(o + 8)/3
Factor -20*w**2 - 3855*w - 3835.
-5*(w + 1)*(4*w + 767)
Factor 55*u**3 - 140*u**2 + 115*u - 30.
5*(u - 1)**2*(11*u - 6)
Suppose -r**2 + 255*r + 256 = 0. Calculate r.
-1, 256
Solve 2*s**3 + 10*s**2 - 66*s + 54 = 0.
-9, 1, 3
Solve -o**4/2 + 23*o**3/6 + 158*o**2/3 + 446*o/3 + 376/3 = 0 for o.
-4, -2, 47/3
Suppose 4*h**4/3 - 86*h**3/15 - 92*h**2/5 + 30*h - 36/5 = 0. Calculate h.
-3, 3/10, 1, 6
Suppose -3*a**3 - 270*a**2 - 261*a + 534 = 0. What is a?
-89, -2, 1
Factor 5*r**2 + 500*r - 1020.
5*(r - 2)*(r + 102)
Factor 2*o**3 - 20*o**2 + 56*o - 48.
2*(o - 6)*(o - 2)**2
Solve 2*y**2/9 + 142*y/9 - 16 = 0.
-72, 1
Determine l so that 5*l**5 + 1500*l**4 - 4530*l**3 + 4540*l**2 - 1515*l = 0.
-303, 0, 1
Factor -5*m**4 + 5*m**3 + 5*m**2 - 5*m.
-5*m*(m - 1)**2*(m + 1)
Determine v so that -14*v**2 - 33*v - 10 = 0.
-2, -5/14
Factor 6*p**2/7 - 606*p/7 + 564.
6*(p - 94)*(p - 7)/7
Determine k so that -2*k**2/13 + 2*k/13 = 0.
0, 1
Find r such that 2*r**3 - 46*r**2 = 0.
0, 23
Find a, given that -3*a**3/4 - 69*a**2/2 - 393*a/4 - 129/2 = 0.
-43, -2, -1
Find s, given that -98*s**3/3 - 2*s**2/9 = 0.
-1/147, 0
Factor 4*a**4 - 68*a**3 + 264*a**2.
4*a**2*(a - 11)*(a - 6)
Suppose 2*j**2/5 + 236*j/5 + 6962/5 = 0. What is j?
-59
Determine r, given that -r**5/2 - 12*r**4 - 177*r**3/2 - 289*r**2 - 438*r - 252 = 0.
-14, -3, -2
Solve -200*d**4 + 205*d**3 + 995*d**2 + 575*d - 15 = 0 for d.
-1, 1/40, 3
Factor 38*w**2 + 24*w.
2*w*(19*w + 12)
Let g**5 + 340*g**4 + 43350*g**3 + 2456500*g**2 + 52200625*g = 0. Calculate g.
-85, 0
Factor -4*b**2 + 164*b - 720.
-4*(b - 36)*(b - 5)
Factor -2*a**3 + 45*a**2 + 71*a + 24.
-(a - 24)*(a + 1)*(2*a + 1)
Let -20*x**4 + 1736*x**3 - 1372*x**2 - 344*x = 0. What is x?
-1/5, 0, 1, 86
Solve 5*d**3 + 5*d**2 - 20*d - 20 = 0 for d.
-2, -1, 2
Let 4*j**4 + 28*j**3 + 48*j**2 - 16*j - 64 = 0. Calculate j.
-4, -2, 1
Suppose -6*p**2/5 + 86*p/5 - 44 = 0. Calculate p.
10/3, 11
Suppose m**3/8 - 3*m**2/2 - 27*m/8 - 7/4 = 0. What is m?
-1, 14
Find q, given that 26*q**4/15 - 58*q**3/15 - 92*q**2/15 + 232*q/15 - 16/5 = 0.
-2, 3/13, 2
Find f, given that 2*f**3/3 - 22*f**2/3 + 20*f/3 = 0.
0, 1, 10
Factor w**4/8 + 215*w**3/4 + 44917*w**2/8 - 70305*w/2 + 106929/2.
(w - 3)**2*(w + 218)**2/8
Determine v, given that -4*v**3 + 8*v**2 + 60*v - 144 = 0.
-