1, 991
Factor 2*b**3/11 + 3194*b**2/11 - 6394*b/11 + 3198/11.
2*(b - 1)**2*(b + 1599)/11
Determine j, given that 320*j**2 + 3600*j + 10125 = 0.
-45/8
Find j, given that -j**4/3 - 463*j**3/3 - 54725*j**2/3 - 259457*j/3 + 104882 = 0.
-229, -6, 1
Solve 2*z**4 + 110*z**3/3 + 10*z**2 - 110*z/3 - 12 = 0.
-18, -1, -1/3, 1
Factor l**3/2 - 291*l**2/2 + 433*l - 288.
(l - 288)*(l - 2)*(l - 1)/2
Factor 3*y**4/2 - 57*y**3/2 - 123*y**2/2 - 63*y/2.
3*y*(y - 21)*(y + 1)**2/2
Suppose -4*x**2 - 1412*x - 1408 = 0. What is x?
-352, -1
Suppose 3*d**2 - 78*d + 507 = 0. What is d?
13
Factor -2*t**3/3 - 10*t**2/3 + 16*t.
-2*t*(t - 3)*(t + 8)/3
Factor -s**2/5 + 498*s/5 + 200.
-(s - 500)*(s + 2)/5
Find s, given that 648*s**5/7 + 1206*s**4/7 + 636*s**3/7 + 8*s**2/7 - 48*s/7 = 0.
-3/4, -2/3, 0, 2/9
Factor 7*y**2/3 - 170*y/3 + 16.
(y - 24)*(7*y - 2)/3
Factor -w**2/3 - 12*w + 37/3.
-(w - 1)*(w + 37)/3
Factor -3*z**2 - 45*z - 150.
-3*(z + 5)*(z + 10)
Find k, given that k**5/6 + 2*k**4/3 + 2*k**3/3 - k**2/3 - 5*k/6 - 1/3 = 0.
-2, -1, 1
Factor 2*n**3/23 + 8*n**2/23 - 6*n/23 - 36/23.
2*(n - 2)*(n + 3)**2/23
Let 121*i**4/4 - 1166*i**3 + 3497*i**2/2 - 696*i + 333/4 = 0. What is i?
3/11, 1, 37
Factor -2*i**2/17 - 838*i/17.
-2*i*(i + 419)/17
Factor w**4/3 - 5*w**3/3.
w**3*(w - 5)/3
Find q such that q**5/2 - 17*q**4 + 207*q**3/2 - 253*q**2 + 274*q - 108 = 0.
1, 2, 27
Factor -30*z**2 + 125*z + 125.
-5*(z - 5)*(6*z + 5)
Find f such that 3*f**5 - 192*f**4 - 405*f**3 + 582*f**2 + 804*f - 792 = 0.
-2, 1, 66
Suppose -3*f**4/2 - 789*f**3/2 + 795*f**2/2 + 789*f/2 - 396 = 0. What is f?
-264, -1, 1
Factor 5*d**2/7 + 12*d/7 + 4/7.
(d + 2)*(5*d + 2)/7
Suppose 2*u**2 + 28*u + 98 = 0. What is u?
-7
What is u in 72*u**4/7 - 48*u**3/7 - 166*u**2/7 - 50*u/7 - 4/7 = 0?
-1, -1/6, 2
Factor -5*k**2 + 260*k - 3380.
-5*(k - 26)**2
Factor 5*n**4/2 + 85*n**3/2 + 35*n**2 - 80*n.
5*n*(n - 1)*(n + 2)*(n + 16)/2
Suppose 15*l**5 - 110*l**4 + 320*l**3/3 + 1600*l**2/3 - 1280*l/3 - 2560/3 = 0. What is l?
-4/3, 2, 4
Solve 4*r**3 + 51*r**2 + 75*r - 22 = 0 for r.
-11, -2, 1/4
Factor -v**4/7 - 2*v**3/7 + 15*v**2/7 - 4*v/7 - 20/7.
-(v - 2)**2*(v + 1)*(v + 5)/7
Factor 4*o**3 + 100*o**2 + 352*o + 336.
4*(o + 2)**2*(o + 21)
What is u in 2*u**3/7 + 6*u**2 + 40*u/7 = 0?
-20, -1, 0
Solve -15*y**3 - 149*y**2/7 - 48*y/7 - 4/7 = 0 for y.
-1, -2/7, -2/15
Let -4*n**2/7 + 636*n/7 + 184 = 0. What is n?
-2, 161
What is t in t**5 + 4*t**4 - 16*t**2 - 16*t = 0?
-2, 0, 2
Factor g**3/2 + 87*g**2 - 351*g/2 + 88.
(g - 1)**2*(g + 176)/2
Factor 2*g**5 + 26*g**4 + 114*g**3 + 198*g**2 + 108*g.
2*g*(g + 1)*(g + 3)**2*(g + 6)
Determine p so that 15*p**4 - 100*p**3 + 55*p**2 + 30*p = 0.
-1/3, 0, 1, 6
Let 2*z**2 - 674*z + 672 = 0. What is z?
1, 336
Let -2*w**4 + 132*w**3 - 2298*w**2 + 3712*w + 6144 = 0. Calculate w.
-1, 3, 32
Solve 9*f**5/5 + 3*f**4 - 138*f**3/5 + 84*f**2/5 + 24*f = 0.
-5, -2/3, 0, 2
What is z in -300*z**5 - 1835*z**4 - 2600*z**3 - 220*z**2 + 80*z = 0?
-4, -2, -1/4, 0, 2/15
Factor -o**3/5 - 83*o**2/5 + 712*o/5 - 1456/5.
-(o - 4)**2*(o + 91)/5
What is r in r**3 - 10*r**2 - 13*r + 22 = 0?
-2, 1, 11
Factor -2*d**2/13 + 80*d/13 - 800/13.
-2*(d - 20)**2/13
Solve 3*p**5 - 52*p**4 + 293*p**3 - 680*p**2 + 628*p - 144 = 0 for p.
1/3, 2, 4, 9
Solve 20*i**4/7 - 158*i**3/7 - 32*i**2/7 + 122*i/7 + 48/7 = 0 for i.
-3/5, -1/2, 1, 8
Factor 3*c**5 - 7*c**4 + 10*c**3/3 + 2*c**2 - c - 1/3.
(c - 1)**3*(3*c + 1)**2/3
Factor -3*k**3 + 33*k**2 - 72*k.
-3*k*(k - 8)*(k - 3)
Let -5*p**3/7 - 44*p**2/7 - 65*p/7 + 150/7 = 0. What is p?
-5, 6/5
Factor 28*d**2/5 - 1632*d/5 + 464/5.
4*(d - 58)*(7*d - 2)/5
What is c in 5*c**4/4 + 1375*c**3/4 + 95185*c**2/4 + 85625*c/4 - 281535/2 = 0?
-137, -3, 2
Solve k**4/8 - 83*k**3/8 - 255*k**2/8 - 257*k/8 - 43/4 = 0 for k.
-1, 86
Solve -2*c**2/7 + 220*c/7 - 6050/7 = 0.
55
Solve 78*x**4/7 + 154*x**3 + 1776*x**2/7 + 872*x/7 + 96/7 = 0 for x.
-12, -1, -2/3, -2/13
What is y in 2*y**2/5 - 414*y/5 - 416/5 = 0?
-1, 208
Factor -3*r**4 + 102*r**3 - 1188*r**2 + 5082*r - 3993.
-3*(r - 11)**3*(r - 1)
Suppose g**3 + 105*g**2 - 108*g - 212 = 0. What is g?
-106, -1, 2
Determine j so that -2*j**5/9 + 4*j**4/3 + 2*j**3/9 - 4*j**2/3 = 0.
-1, 0, 1, 6
What is m in 5*m**2 - 4305*m - 17300 = 0?
-4, 865
Suppose f**3/2 + 17*f**2/2 - 805*f/2 - 15341/2 = 0. What is f?
-23, 29
Determine t, given that -2*t**5 + t**4 + 27*t**3 - 37*t**2 - t + 12 = 0.
-4, -1/2, 1, 3
Let 21*j**5 + 6*j**4 - 189*j**3 - 138*j**2 + 228*j + 72 = 0. What is j?
-2, -2/7, 1, 3
Determine o so that 2*o**2/15 - 46*o/15 + 224/15 = 0.
7, 16
Factor 3*s**4 + 9*s**3 - 12*s.
3*s*(s - 1)*(s + 2)**2
Let -3*q**2 + 369*q + 372 = 0. Calculate q.
-1, 124
Factor -4*w**2/5 - 68*w/5.
-4*w*(w + 17)/5
Factor d**2/7 - 222*d/7.
d*(d - 222)/7
Factor q**2/2 - 134*q + 8978.
(q - 134)**2/2
Factor -m**5 - 4*m**4 + m**3 + 4*m**2.
-m**2*(m - 1)*(m + 1)*(m + 4)
Factor 3*s**4 + 24*s**3 - 27*s**2.
3*s**2*(s - 1)*(s + 9)
Factor -9*d**2 - 483*d + 162.
-3*(d + 54)*(3*d - 1)
Factor w**3/3 - 759*w**2 + 576081*w - 145748493.
(w - 759)**3/3
Determine t so that t**3/8 - 3*t**2/2 - 15*t/8 + 13/4 = 0.
-2, 1, 13
Factor -2*l**3/7 - 66*l**2/7 + 288*l/7 - 296/7.
-2*(l - 2)**2*(l + 37)/7
Solve -5*n**3 + 65*n**2 - 155*n - 225 = 0 for n.
-1, 5, 9
Factor 2*s**3/15 + 26*s**2/15 - 16*s - 1056/5.
2*(s - 11)*(s + 12)**2/15
What is s in 3*s**2 - 534*s + 1056 = 0?
2, 176
Factor -39*b**2/2 + 267*b/2 + 21.
-3*(b - 7)*(13*b + 2)/2
Determine s so that 15*s**3 + 50*s**2 + 45*s + 10 = 0.
-2, -1, -1/3
Find u, given that 3*u**5/5 - 42*u**4/5 + 159*u**3/5 - 48*u**2/5 - 252*u/5 = 0.
-1, 0, 2, 6, 7
Determine x, given that -4*x**4/3 - 28*x**3/3 + 224*x**2/3 - 64*x = 0.
-12, 0, 1, 4
Find w, given that -2*w**4 + 4*w**3 + 14*w**2 - 40*w + 24 = 0.
-3, 1, 2
Factor -2*w**2 + 1616*w - 326432.
-2*(w - 404)**2
What is h in -4*h**3 + 48*h + 64 = 0?
-2, 4
Factor -d**3 - 69*d**2 - 1587*d - 12167.
-(d + 23)**3
Solve -3*r**2/2 + 21*r/2 - 9 = 0.
1, 6
What is a in 3*a**5 - 69*a**4 + 372*a**3 - 564*a**2 - 240*a + 768 = 0?
-1, 2, 4, 16
Solve 2*r**5/21 + 64*r**4/7 + 5372*r**3/21 + 11016*r**2/7 - 82990*r/21 + 14792/7 = 0 for r.
-43, -12, 1
Solve 3*p**4/4 - 33*p**3/2 - 21*p**2 + 177*p/2 - 207/4 = 0.
-3, 1, 23
Factor 3*b**2/4 + 333*b/4 - 714.
3*(b - 8)*(b + 119)/4
Find x such that 28*x**4 - 36*x**3 - 48*x**2 + 16*x = 0.
-1, 0, 2/7, 2
Factor 5*h**2 + 215*h - 1470.
5*(h - 6)*(h + 49)
Factor 405*p**5 - 36630*p**4 + 1109720*p**3 - 11422800*p**2 + 4914000*p - 540000.
5*(p - 30)**3*(9*p - 2)**2
Factor 5*l**2 - 50*l + 125.
5*(l - 5)**2
Find h such that -2*h**2/7 - 2*h/7 + 4/7 = 0.
-2, 1
Determine i, given that i**5 + 173*i**4/2 + 4773*i**3/2 + 17685*i**2 - 90450*i + 40500 = 0.
-30, 1/2, 3
Solve 12*c**3 - 117*c**2 - 162*c - 33 = 0.
-1, -1/4, 11
Factor 2*u**3 + 122*u**2 + 2368*u + 14848.
2*(u + 16)**2*(u + 29)
Factor 2*s**4/3 - 2*s**3 + 8*s/3.
2*s*(s - 2)**2*(s + 1)/3
Factor 16*j**3/5 + 4544*j**2/5 - 4556*j/5 + 228.
4*(j + 285)*(2*j - 1)**2/5
Factor -2*i**2/5 + 118*i/5 + 444.
-2*(i - 74)*(i + 15)/5
Factor -2*q**3 - 162*q**2 - 4158*q - 34398.
-2*(q + 21)**2*(q + 39)
Factor 2*z**2/5 - 3482*z/5 + 696.
2*(z - 1740)*(z - 1)/5
Factor w**2/2 - 49*w + 97/2.
(w - 97)*(w - 1)/2
Factor -2*i**3/15 + 34*i**2/15 - 44*i/5.
-2*i*(i - 11)*(i - 6)/15
Solve 3*n**5 + 6*n**4 - 21*n**3 - 60*n**2 - 36*n = 0 for n.
-2, -1, 0, 3
Factor -33*r**2/8 - 15*r/8 + 9/4.
-3*(r + 1)*(11*r - 6)/8
Factor -r**2 + 17*r - 52.
-(r - 13)*(r - 4)
Determine o, given that o**3/2 + 9*o**2/2 + 12*o + 10 = 0.
-5, -2
Factor 242*b**2/7 + 396*b/7 + 162/7.
2*(11*b + 9)**2/7
Factor -g**3/8 - g**2/8 + 3*g/4.
-g*(g - 2)*(g + 3)/8
Factor j**4/12 - 8*j**3/3 + 24*j**2 - 256*j/3 + 320/3.
(j - 20)*(j - 4)**3/12
Factor -y**5/2 + 41*y**4/2 + 85*y**3/2 + 43*y**2/2.
-y**2*(y - 43)*(y + 1)**2/2
Solve 121*f**4/4 + 1397*f**3/2 + 13093*f**2/4 - 8763*f + 4761 = 0 for f.
-138/11, 1
What is c in 2*c**3/3 + 14*c**2/3 + 28*c/3 + 16/3 = 0?
-4, -2, -1
Suppose 2*v**4 + 42*v**3 + 144*v**2 - 864*v = 0. Calculate v.
-12, 0, 3
Factor 3*m**3/7 + 57*m**2/7 + 144*m/7.
3*m*(m + 3)*(m + 16)/7
Factor a**4/6 - a**3 + 2*a**2/3 + 4*a - 16/3.
(a - 4)*(a - 2)**2*(a + 2)/6
Factor y**4 + 68*y**3.
y**3*(y + 68)
Find n, given that 99*n**2/4 - 24*n - 3/4 = 0.
-1/33, 1
Factor 5*h**2 - 23300*h + 27144500.
5*(h - 2330)**2
Solve d**3 + 19*d**2 - 89*d + 69 = 0 for d.
-23