*t**3/7 + 6*t**2/7 - 36*t/7 - 27/7.
-3*(t - 3)**2*(t + 1)**2/7
Factor -y**2/2 - 169*y/2 - 330.
-(y + 4)*(y + 165)/2
Factor 5*w**4 - 135*w**2 + 250*w - 120.
5*(w - 4)*(w - 1)**2*(w + 6)
Solve -u**2/6 - 373*u/2 = 0 for u.
-1119, 0
Factor j**2/5 + 112*j/5 - 113/5.
(j - 1)*(j + 113)/5
Find d such that 9*d**3 - 2*d**2 - 81*d + 18 = 0.
-3, 2/9, 3
Suppose -14*s**5/9 + 10*s**4/9 + 46*s**3/9 - 2*s**2/9 - 32*s/9 - 8/9 = 0. Calculate s.
-1, -2/7, 1, 2
Factor o**3/2 - 81*o**2 + 3360*o - 6400.
(o - 80)**2*(o - 2)/2
Factor -4*r**3 - 756*r**2 + 1528*r.
-4*r*(r - 2)*(r + 191)
What is c in c**5 - 22*c**4 - 27*c**3 + 88*c**2 + 92*c = 0?
-2, -1, 0, 2, 23
Solve 14*v**2 + 80*v/3 - 8/3 = 0 for v.
-2, 2/21
Factor 3*m**5 - 24*m**4 + 72*m**3 - 102*m**2 + 69*m - 18.
3*(m - 3)*(m - 2)*(m - 1)**3
Determine n, given that -10*n**4/19 - 26*n**3/19 + 412*n**2/19 - 160*n/19 = 0.
-8, 0, 2/5, 5
Find g such that -36*g**5 - 264*g**4 - 484*g**3 + 96*g**2 + 496*g + 192 = 0.
-4, -3, -2/3, 1
Factor -4*r**4 + 228*r**3 + 708*r**2 + 716*r + 240.
-4*(r - 60)*(r + 1)**3
Solve -2*s**5/11 - 2*s**4/11 + 58*s**3/11 + 90*s**2/11 - 432*s/11 - 864/11 = 0.
-3, 4
Suppose -n**4 - 2*n**3/5 + 3*n**2/5 = 0. What is n?
-1, 0, 3/5
Solve -16*h**4/7 + 18*h**3/7 + 2*h**2 - 18*h/7 + 2/7 = 0.
-1, 1/8, 1
Let -2*c**2/3 + 14228*c/3 - 25304498/3 = 0. Calculate c.
3557
Let -2*s**5/5 - 36*s**4/5 + 122*s**3/5 - 84*s**2/5 = 0. Calculate s.
-21, 0, 1, 2
What is i in -3*i**5/7 + 66*i**3/7 - 60*i**2/7 - 9*i + 60/7 = 0?
-5, -1, 1, 4
Solve 39*c**4 + 72*c**3 - 51*c**2 - 72*c + 12 = 0 for c.
-2, -1, 2/13, 1
Determine j so that -3*j**3 + 81*j**2 - 288*j + 276 = 0.
2, 23
Let 3*u**3 - 2649*u**2 - 3*u + 2649 = 0. Calculate u.
-1, 1, 883
Determine o so that o**4 - 22*o**3/3 - 65*o**2/3 + 188*o - 60 = 0.
-5, 1/3, 6
Factor 3*t**4 - 4424*t**3 + 1632455*t**2 - 1086338*t.
t*(t - 737)**2*(3*t - 2)
Factor 10*l**2/7 + 26*l/7 + 12/7.
2*(l + 2)*(5*l + 3)/7
Factor 2*y**4/5 - 32*y**3/5 - 396*y**2/5 - 1296*y/5 - 270.
2*(y - 25)*(y + 3)**3/5
Suppose v**3/4 - 3*v**2/2 - 7*v/4 = 0. Calculate v.
-1, 0, 7
Suppose -g**5 + 13*g**4 + 3*g**3 - 37*g**2 - 26*g = 0. Calculate g.
-1, 0, 2, 13
Let a**2/7 - 491*a/7 - 986/7 = 0. Calculate a.
-2, 493
Factor -2*n**2 + 1210*n - 2412.
-2*(n - 603)*(n - 2)
Factor -5*f**5 - 15*f**4 + 35*f**3 + 35*f**2 - 90*f + 40.
-5*(f - 1)**3*(f + 2)*(f + 4)
What is o in -2*o**4 + 101*o**3/2 - 10*o**2 - 125*o/2 = 0?
-1, 0, 5/4, 25
Factor -f**4 + 40*f**3 - 169*f**2 - 210*f.
-f*(f - 35)*(f - 6)*(f + 1)
Factor -5*a**4 + 130*a**3 + 900*a**2 + 1880*a + 1280.
-5*(a - 32)*(a + 2)**3
Let -q**5/7 + 26*q**4 - 7141*q**3/7 + 83568*q**2/7 - 10944*q = 0. What is q?
0, 1, 24, 133
Determine b so that -2*b**2/5 + 126*b/5 + 396/5 = 0.
-3, 66
Suppose -2*y**4/19 - 150*y**3/19 - 3394*y**2/19 - 21450*y/19 - 30492/19 = 0. What is y?
-33, -7, -2
Let 2*h**2/5 + 306*h/5 + 604/5 = 0. What is h?
-151, -2
Factor s**4/2 - 5*s**3/2 - 7*s**2/2 + 5*s/2 + 3.
(s - 6)*(s - 1)*(s + 1)**2/2
Factor -2*l**3/17 - 814*l**2/17 - 83230*l/17 - 82418/17.
-2*(l + 1)*(l + 203)**2/17
Find u, given that 2*u**2 + 22*u - 304 = 0.
-19, 8
Determine p, given that 2*p**3 + 20*p**2 + 62*p + 60 = 0.
-5, -3, -2
Factor 4*x**2 - 15048*x + 14152644.
4*(x - 1881)**2
Solve 2*k**3/3 + 130*k**2/3 - 268*k/3 = 0.
-67, 0, 2
Factor a**4/4 + a**3/4 - 3*a**2/4 - a/4 + 1/2.
(a - 1)**2*(a + 1)*(a + 2)/4
Let -g**5/2 + 18*g**4 - 217*g**3/2 + 207*g**2 - 116*g = 0. What is g?
0, 1, 2, 4, 29
Factor -3*a**2/5 + 9*a/5 + 264/5.
-3*(a - 11)*(a + 8)/5
Let -2*q**2/11 + 208*q/11 - 408/11 = 0. What is q?
2, 102
Suppose 7*f**4/6 + 25*f**3/6 - 39*f**2/2 - 27*f/2 + 9 = 0. What is f?
-6, -1, 3/7, 3
Let -4*b**3 + 204*b**2 - 200*b = 0. What is b?
0, 1, 50
Let 2*w**2/15 - 24*w/5 + 14/3 = 0. Calculate w.
1, 35
Suppose 8*j**4 - 56*j**3 - 214*j**2 + 1092*j + 3042 = 0. Calculate j.
-3, 13/2
Determine u so that -444*u**3 - 8*u**2 + 1776*u + 32 = 0.
-2, -2/111, 2
Factor 2*r**4 + 344*r**3 - 694*r**2 + 348*r.
2*r*(r - 1)**2*(r + 174)
Determine c so that 3*c**2 - 2742*c + 626547 = 0.
457
Let 5*z**5 + 143*z**4 + 1052*z**3 + 256*z**2 - 2240*z + 784 = 0. What is z?
-14, -2, 2/5, 1
Factor -3*a**5 - 21*a**4 - 18*a**3.
-3*a**3*(a + 1)*(a + 6)
Solve -5*h**3 - 855*h**2 - 1690*h = 0 for h.
-169, -2, 0
Let -3*v**2 + 6*v + 24 = 0. Calculate v.
-2, 4
Factor 2*i**2/11 - 40*i/11 - 42/11.
2*(i - 21)*(i + 1)/11
Factor 3*j**3 - 51*j**2 - 318*j - 264.
3*(j - 22)*(j + 1)*(j + 4)
Factor 16*r**5/5 - 6*r**4 + 12*r**3/5 + 2*r**2/5.
2*r**2*(r - 1)**2*(8*r + 1)/5
Find p such that -2*p**4/5 - 4*p**3/5 + 4*p/5 + 2/5 = 0.
-1, 1
Factor -m**2/2 - 56*m - 111/2.
-(m + 1)*(m + 111)/2
Suppose -13*y**5/2 - 63*y**4/2 - 8*y**3 + 54*y**2 - 8*y = 0. Calculate y.
-4, -2, 0, 2/13, 1
Suppose 23*o**5/3 - 136*o**4/3 - 211*o**3 + 5006*o**2/3 - 6460*o/3 - 200 = 0. What is o?
-6, -2/23, 2, 5
Factor -4*o**5 - 416*o**4 + 1704*o**3 - 2576*o**2 + 1724*o - 432.
-4*(o - 1)**4*(o + 108)
Factor -4*x**4 + 164*x**3 + 516*x**2 + 524*x + 176.
-4*(x - 44)*(x + 1)**3
Find q, given that 2*q**4/9 - 16*q**2/9 + 32/9 = 0.
-2, 2
Suppose -3*z**4 - 9*z**3 + 39*z**2 + 45*z = 0. Calculate z.
-5, -1, 0, 3
Factor 3*y**2 - 114*y + 216.
3*(y - 36)*(y - 2)
Factor 2*y**3/11 - 500*y**2/11 + 31250*y/11.
2*y*(y - 125)**2/11
Factor -d**3 + d**2 + 5*d + 3.
-(d - 3)*(d + 1)**2
Determine j, given that -4*j**5/5 + 48*j**4 - 912*j**3/5 + 896*j**2/5 = 0.
0, 2, 56
Find r, given that r**3/3 + r**2/2 - 4*r/3 + 1/2 = 0.
-3, 1/2, 1
Suppose -16*t**5 - 12*t**4 + 68*t**3 + 48*t**2 - 16*t = 0. What is t?
-2, -1, 0, 1/4, 2
Find y such that -2*y**2/3 + 460*y/3 - 458/3 = 0.
1, 229
Find h, given that 3*h**5/2 - 195*h**4/2 - 9*h**3/2 + 591*h**2/2 - 195*h = 0.
-2, 0, 1, 65
Suppose 2*j**4/21 + 106*j**3/21 - 580*j**2/21 = 0. What is j?
-58, 0, 5
Find c, given that 135*c**3 - 345*c**2 - 520*c/3 - 20 = 0.
-2/9, 3
Let -3*i**3 + 18*i**2 - 27*i = 0. What is i?
0, 3
Factor 3*m**4 + 18*m**3 - 45*m**2 + 24*m.
3*m*(m - 1)**2*(m + 8)
Factor -2*v**4 + 44*v**3 - 242*v**2.
-2*v**2*(v - 11)**2
Determine x, given that -4*x**4/3 + 4*x**3 - 4*x**2 + 4*x/3 = 0.
0, 1
Let t**3/2 + 5*t**2/2 - 6*t - 18 = 0. What is t?
-6, -2, 3
Solve 5*k**2/3 + 215*k = 0 for k.
-129, 0
Find m, given that 12*m**4 - 592*m**3 + 7096*m**2 + 5200*m - 2500 = 0.
-1, 1/3, 25
Let -5*w**2 + 4195*w - 4190 = 0. Calculate w.
1, 838
Solve 4*z**2/3 - 56*z + 588 = 0.
21
Determine m, given that 4*m**2 + 940*m + 7264 = 0.
-227, -8
Factor 2*d**2/7 + 34*d/7 - 76/7.
2*(d - 2)*(d + 19)/7
Factor -2*u**4/7 - 186*u**3/7 - 78*u**2 - 542*u/7 - 180/7.
-2*(u + 1)**3*(u + 90)/7
Factor 2*u**5 - u**4/2 - 12*u**3 + 19*u**2 - 10*u + 3/2.
(u - 1)**3*(u + 3)*(4*u - 1)/2
Find n such that -3*n**4/7 + 396*n**3/7 - 219*n**2 - 396*n/7 + 1536/7 = 0.
-1, 1, 4, 128
Solve -10*y**3/7 + 1464*y**2/7 + 2376*y/7 - 1184/7 = 0.
-2, 2/5, 148
Factor 81*b**4/5 + 92421*b**3/5 - 185058*b**2/5 + 24684*b - 27432/5.
3*(b + 1143)*(3*b - 2)**3/5
Find a, given that -a**2/3 + 55*a/3 + 56/3 = 0.
-1, 56
Factor k**3/5 - 53*k**2/5 - 109*k/5 - 11.
(k - 55)*(k + 1)**2/5
Find q such that 5*q**4/3 - 223*q**3/3 + 880*q**2/3 + 1588*q/3 + 160 = 0.
-1, -2/5, 6, 40
What is l in -l**5/7 + 2*l**4 - 69*l**3/7 + 144*l**2/7 - 108*l/7 = 0?
0, 2, 3, 6
Find b, given that -2*b**5/5 + 78*b**4/5 - 636*b**3/5 - 2396*b**2/5 - 2562*b/5 - 882/5 = 0.
-1, 21
Factor 2*t**2/13 - 482*t/13.
2*t*(t - 241)/13
Find c such that 3*c**2 - 72*c + 69 = 0.
1, 23
Let -t**3 + 13*t**2 - 51*t + 63 = 0. What is t?
3, 7
Factor s**3/4 - 109*s**2.
s**2*(s - 436)/4
Factor -l**2 + 391*l/6 + 55.
-(l - 66)*(6*l + 5)/6
Factor 3*p**3/5 - 1521*p**2/5 + 195048*p/5 - 571536/5.
3*(p - 252)**2*(p - 3)/5
Factor -12*n**2 + 74*n - 114.
-2*(n - 3)*(6*n - 19)
Factor l**3 - 12*l**2 + 45*l - 50.
(l - 5)**2*(l - 2)
Factor z**2/3 - 17*z - 52/3.
(z - 52)*(z + 1)/3
Factor -2*c**4/3 + 6*c**3 - 16*c**2 + 40*c/3.
-2*c*(c - 5)*(c - 2)**2/3
Suppose k**2/2 - k + 1/2 = 0. What is k?
1
Factor 2*f**4 + 20*f**3 + 50*f**2.
2*f**2*(f + 5)**2
Factor -3*r**5 - 3*r**4 + 15*r**3 + 3*r**2 - 24*r + 12.
-3*(r - 1)**3*(r + 2)**2
What is j in -3*j**3 + 12*j**2 + 825*j - 6534 = 0?
-18, 11
Factor f**3 + 33*f**2 + 336*f + 980.
(f + 5)*(f + 14)**2
Find l such that 10*l**2 - 358*l - 72 = 0.
-1/5, 36
Factor -3*c**3 + 3*c**2 + 24*c - 36.
-3*(c - 2)**2*(c + 3)
Factor -5*u**4 + 45*u**3 - 135*u**2 + 155*u - 60.
-5*(u - 4)*(u -