7, 181
Let -10*v**2/7 - 8*v/7 + 2/7 = 0. Calculate v.
-1, 1/5
Solve 14*i**2 - 204*i + 112 = 0 for i.
4/7, 14
Factor -20*b**3 + 2832*b**2 + 6896*b + 2304.
-4*(b - 144)*(b + 2)*(5*b + 2)
Factor 5*l**3 + 305*l**2 + 850*l - 1160.
5*(l - 1)*(l + 4)*(l + 58)
Suppose 140*g**2 + 244*g - 72 = 0. What is g?
-2, 9/35
Factor 4*j**5 - 108*j**4 - 232*j**3 - 8*j**2 + 228*j + 116.
4*(j - 29)*(j - 1)*(j + 1)**3
Factor 4*m**2/7 - 9348*m/7.
4*m*(m - 2337)/7
Factor -2*a**2/7 - 1616*a/7 - 6432/7.
-2*(a + 4)*(a + 804)/7
Find c, given that -c**5/2 - 5*c**4/2 + 21*c**3/2 - 23*c**2/2 + 4*c = 0.
-8, 0, 1
Let g**2 - 135*g - 414 = 0. Calculate g.
-3, 138
Factor -3*j**5 - 21*j**4 - 54*j**3 - 66*j**2 - 39*j - 9.
-3*(j + 1)**4*(j + 3)
Find m, given that 5*m**2 - 2860*m = 0.
0, 572
Suppose -5*k**4 - 30*k**3 + 75*k**2 - 40*k = 0. What is k?
-8, 0, 1
Determine i, given that -2*i**3 + 100*i**2 + 550*i = 0.
-5, 0, 55
Factor -z**4/8 + 8*z**3 - 1035*z**2/8 + 243*z/2.
-z*(z - 36)*(z - 27)*(z - 1)/8
Solve -16781120*s**2 - 7328*s - 4/5 = 0 for s.
-1/4580
Let h**3/5 + 13*h**2/5 + 6*h = 0. Calculate h.
-10, -3, 0
Let b**5/5 + b**4/5 - 11*b**3/5 - 29*b**2/5 - 26*b/5 - 8/5 = 0. What is b?
-2, -1, 4
Let -6*p**3/7 - 36*p**2 - 378*p - 1176 = 0. What is p?
-28, -7
Find p such that -5*p**3 - 40*p**2 + 5*p + 40 = 0.
-8, -1, 1
Factor g**2 + 3*g - 10.
(g - 2)*(g + 5)
Find k, given that -k**4/2 + 6*k**3 - 26*k**2 + 48*k - 32 = 0.
2, 4
Factor -i**4 - 20*i**3 + i**2 + 20*i.
-i*(i - 1)*(i + 1)*(i + 20)
Factor 2*w**4 - 20*w**3 + 62*w**2 - 60*w.
2*w*(w - 5)*(w - 3)*(w - 2)
Factor c**5/3 - c**3/3.
c**3*(c - 1)*(c + 1)/3
Factor 4*v**3 + 96*v**2 + 576*v.
4*v*(v + 12)**2
Factor 3*f**4/7 - 30*f**3/7 - 24*f**2 + 1566*f/7 + 243.
3*(f - 9)**2*(f + 1)*(f + 7)/7
Suppose -5*u**5 - 34*u**4/3 + 41*u**3/3 + 20*u**2/3 - 4*u = 0. Calculate u.
-3, -2/3, 0, 2/5, 1
Suppose -5*m**5 - 80*m**4 + 25*m**3 + 400*m**2 - 20*m - 320 = 0. What is m?
-16, -2, -1, 1, 2
Find s, given that -2*s**3 - 1470*s**2 + 1472*s = 0.
-736, 0, 1
Let -3*l**4/4 - 11*l**3/4 + 24*l**2 + 107*l + 60 = 0. What is l?
-5, -4, -2/3, 6
Determine h, given that h**3 + 12*h**2 + 23*h - 36 = 0.
-9, -4, 1
Solve -f**3/7 + 3006*f**2/7 - 3012012*f/7 + 1006012008/7 = 0 for f.
1002
Factor 5*l**3 - 155*l**2 + 1150*l - 1000.
5*(l - 20)*(l - 10)*(l - 1)
Factor s**4 + 13*s**3 + 57*s**2 + 95*s + 50.
(s + 1)*(s + 2)*(s + 5)**2
Factor 4*m**2 - 12*m - 160.
4*(m - 8)*(m + 5)
Solve z**3 + 6*z**2 - 7*z = 0 for z.
-7, 0, 1
Let -8*k**2 - 100*k + 168 = 0. What is k?
-14, 3/2
Factor 4*w**3 - 96*w**2 + 336*w + 3136.
4*(w - 14)**2*(w + 4)
Factor 2*m**3/7 + 76*m**2/7 + 146*m/7 + 72/7.
2*(m + 1)**2*(m + 36)/7
Suppose -9*b**5 + 12*b**4 + 57*b**3 - 24*b**2 - 36*b = 0. Calculate b.
-2, -2/3, 0, 1, 3
What is x in 12*x**4 + 69*x**3 - 606*x**2 + 939*x - 198 = 0?
-11, 1/4, 2, 3
Factor 22090*b**2/3 - 376*b/3 + 8/15.
2*(235*b - 2)**2/15
Solve n**4 + 29*n**3 - 96*n**2 + 4*n + 128 = 0 for n.
-32, -1, 2
Factor -5*p**2 + 290*p + 600.
-5*(p - 60)*(p + 2)
Factor -132*i**2/5 + 122*i/5 + 2.
-2*(i - 1)*(66*i + 5)/5
Suppose 3*t**5 + 60*t**4 - 129*t**3 + 66*t**2 = 0. Calculate t.
-22, 0, 1
Suppose 2*k**4/9 - 76*k**3/9 + 24*k**2 - 212*k/9 + 70/9 = 0. Calculate k.
1, 35
What is g in -2*g**3/9 - 80*g**2/9 + 8*g/9 + 320/9 = 0?
-40, -2, 2
Let -4*m**3 - 4032*m**2 + 8076*m - 4040 = 0. What is m?
-1010, 1
Suppose -2*c**4/11 - 2*c**3/11 + 18*c**2/11 - 2*c + 8/11 = 0. What is c?
-4, 1
Solve 45*n**4/4 - 231*n**3/2 - 48*n**2 = 0.
-2/5, 0, 32/3
Suppose -v**5/4 + 73*v**4/4 + 315*v**3/2 + 729*v**2/2 + 27*v/4 - 2187/4 = 0. Calculate v.
-3, 1, 81
Determine k so that k**2/2 + 11*k/2 + 12 = 0.
-8, -3
Determine u, given that -u**3 + 56*u**2 - 431*u + 376 = 0.
1, 8, 47
Factor h**4 - 258*h**2 + 512*h - 255.
(h - 15)*(h - 1)**2*(h + 17)
Factor -12*m**2 + 1947*m - 486.
-3*(m - 162)*(4*m - 1)
Factor 5*s**4 + 455*s**3 - 925*s**2 + 465*s.
5*s*(s - 1)**2*(s + 93)
Factor j**4/12 + 5*j**3/6 + 17*j**2/12 + 2*j/3.
j*(j + 1)**2*(j + 8)/12
Solve a**5/3 + 8*a**4/3 + 13*a**3/3 - 22*a**2/3 - 32*a/3 + 32/3 = 0.
-4, -2, 1
Determine d so that -2*d**4/11 + 952*d**3/11 - 169932*d**2/11 + 13481272*d/11 - 401067842/11 = 0.
119
Factor 62*p**4 + 120*p**3 - 8*p**2.
2*p**2*(p + 2)*(31*p - 2)
Factor -21*w**2/5 - 817*w/5 + 78/5.
-(w + 39)*(21*w - 2)/5
Factor p**3/9 + 188*p**2/9 + 9200*p/9 + 33856/9.
(p + 4)*(p + 92)**2/9
Let -2*v**3/5 - 570*v**2 + 2852*v/5 = 0. Calculate v.
-1426, 0, 1
Factor -3*i**4 - 48*i**3 + 57*i**2 + 102*i.
-3*i*(i - 2)*(i + 1)*(i + 17)
Factor -n**4 + 7*n**3 + 18*n**2.
-n**2*(n - 9)*(n + 2)
Suppose 3*j**5/2 + 75*j**4/2 + 129*j**3/2 - 4335*j**2/2 + 3984*j - 1920 = 0. What is j?
-16, 1, 5
Factor f**3/3 + f**2 + f + 1/3.
(f + 1)**3/3
Factor t**3/2 - 29*t**2/2 + 40*t - 26.
(t - 26)*(t - 2)*(t - 1)/2
Find j, given that 3*j**2 + 207*j = 0.
-69, 0
Factor 4*w**3 + 10*w**2 - 136*w - 70.
2*(w - 5)*(w + 7)*(2*w + 1)
Suppose 2704*d**5 + 5668*d**4 - 7680*d**3 - 952*d**2 + 272*d - 12 = 0. Calculate d.
-3, -1/4, 1/13, 1
Suppose 2*u**2 + 418*u + 416 = 0. Calculate u.
-208, -1
Find o, given that -5*o**2 - 75*o/2 - 35/2 = 0.
-7, -1/2
What is t in 8*t**5/3 + 22*t**4/3 - 374*t**3/3 - 292*t**2/3 + 32*t = 0?
-8, -1, 0, 1/4, 6
Let 5*i**3 - 20*i**2 + 5*i + 30 = 0. Calculate i.
-1, 2, 3
What is d in -3*d**2 - 163*d - 54 = 0?
-54, -1/3
Solve -2*i**4 + 44*i**3 + 152*i**2 - 44*i - 150 = 0 for i.
-3, -1, 1, 25
Suppose -3*m**4/4 - 78*m**3 - 4209*m**2/2 - 3978*m - 7803/4 = 0. Calculate m.
-51, -1
Find f, given that -2*f**3/5 - 8*f**2/5 + 182*f/5 + 196 = 0.
-7, 10
Factor 907924*s**5/3 - 3334016*s**4/3 + 4790452*s**3/3 - 3367768*s**2/3 + 1160624*s/3 - 157216/3.
4*(s - 1)**2*(61*s - 34)**3/3
Solve -3*n**2 + 21*n + 90 = 0.
-3, 10
Determine q, given that 5*q**4 + 5*q**3 - 100*q**2 = 0.
-5, 0, 4
Solve 4*q**4 - 12*q**3 - 92*q**2 - 132*q - 56 = 0 for q.
-2, -1, 7
Factor h**4/9 + 10*h**3/9 + 4*h**2/9 - 14*h/3 + 3.
(h - 1)**2*(h + 3)*(h + 9)/9
Factor 5*a**3 - 325*a**2 + 320*a.
5*a*(a - 64)*(a - 1)
Suppose -z**3 + 47*z**2 - 456*z + 1260 = 0. What is z?
6, 35
Factor w**4 - 13*w**3 + 41*w**2 - 47*w + 18.
(w - 9)*(w - 2)*(w - 1)**2
Find n such that 2*n**3/3 + 52*n**2/3 + 448*n/3 + 1280/3 = 0.
-10, -8
Factor 2*g**4/9 - 10*g**3/3 - 128*g**2/9 + 40*g.
2*g*(g - 18)*(g - 2)*(g + 5)/9
Factor 3*y**3 - 384*y**2 + 375*y + 762.
3*(y - 127)*(y - 2)*(y + 1)
Factor -2*i**3/3 + 124*i**2/3 - 122*i/3.
-2*i*(i - 61)*(i - 1)/3
Suppose -3*t**5 - 36*t**4 - 72*t**3 + 384*t**2 + 720*t - 1728 = 0. What is t?
-6, -4, 2
Factor -2*w**2/3 + 2*w/3 + 104.
-2*(w - 13)*(w + 12)/3
Factor -62*n**3 + 5956*n**2 - 143232*n + 9216.
-2*(n - 48)**2*(31*n - 2)
Factor s**4/10 + s**3/10 - 2*s**2/5 - 2*s/5.
s*(s - 2)*(s + 1)*(s + 2)/10
Factor i**5/3 - 5*i**4/3 - i**3 + 17*i**2/3 - 10*i/3.
i*(i - 5)*(i - 1)**2*(i + 2)/3
Solve 2*i**5/3 + 230*i**4/3 + 1116*i**3 + 18220*i**2/3 + 39850*i/3 + 8250 = 0.
-99, -5, -1
Suppose -q**5/4 - q**4 + 9*q**3/4 + 4*q**2 - 5*q = 0. What is q?
-5, -2, 0, 1, 2
Factor -2*f**2 - 346*f.
-2*f*(f + 173)
Let 8*u**5 + 106*u**4 + 338*u**3 - 26*u**2 - 346*u - 80 = 0. What is u?
-8, -5, -1, -1/4, 1
What is s in -4*s**2/7 - 5568*s/7 - 1937664/7 = 0?
-696
Factor w**3 + 7*w**2 - 10*w - 16.
(w - 2)*(w + 1)*(w + 8)
Solve 10224242*p**2/3 + 9044*p/3 + 2/3 = 0 for p.
-1/2261
What is u in -4*u**5 - 32*u**4 - 64*u**3 - 8*u**2 + 68*u + 40 = 0?
-5, -2, -1, 1
Suppose -55*o**5 + 450*o**4 + 415*o**3 - 90*o**2 = 0. Calculate o.
-1, 0, 2/11, 9
Suppose 2*b**5/5 - 236*b**4/5 + 11138*b**3/5 - 52560*b**2 + 3100032*b/5 - 14625792/5 = 0. Calculate b.
23, 24
Factor -4*o**3/5 + 12*o**2 + 64*o/5.
-4*o*(o - 16)*(o + 1)/5
Solve 2*y**2 - 1892*y + 447458 = 0.
473
Factor 3*m**4/7 + 18*m**3/7 - 81*m**2/7 - 324*m/7 + 972/7.
3*(m - 3)**2*(m + 6)**2/7
Determine f so that -49*f**4/5 + 616*f**3/5 - 68*f**2 + 48*f/5 = 0.
0, 2/7, 12
Solve t**3 - 641*t**2 - 5176*t - 10384 = 0.
-4, 649
Factor a**5 - 5*a**4 + 7*a**3 - 3*a**2.
a**2*(a - 3)*(a - 1)**2
Determine u, given that -u**3/8 - 11*u**2/8 + u/8 + 11/8 = 0.
-11, -1, 1
Factor -2*n**2 - 14*n - 12.
-2*(n + 1)*(n + 6)
Factor 3*s**4/4 + 9*s**3/4 - 3*s**2/4 - 9*s/4.
3*s*(s - 1)*(s + 1)*(s + 3)/4
Solve -u**2/7 + 3*u + 130/7 = 0 for u.
-5, 26
Determine p, given that -134*p**2/5 - 264*p/5 + 8/5 = 0.
-2, 2/67
Factor -2*b**3/5 - 314*b**2/5 + 956*b/5 - 128.
-2*(b - 2)*(b - 1)*(b + 160)/5
Suppose