-1, 0, 1, 24
What is g in 2*g**5 - 16*g**4 + 44*g**3 - 56*g**2 + 34*g - 8 = 0?
1, 4
Factor -5*j**4 - 75*j**3 - 395*j**2 - 825*j - 500.
-5*(j + 1)*(j + 4)*(j + 5)**2
Determine h so that 2*h**3/5 - 62*h/5 + 12 = 0.
-6, 1, 5
Find c, given that -3*c**3 - 63*c**2 + 135*c - 69 = 0.
-23, 1
Factor -3*o**3 - 12*o**2 + 153*o + 162.
-3*(o - 6)*(o + 1)*(o + 9)
Solve -k**3/4 + 245*k**2/4 - 121*k/2 - 122 = 0.
-1, 2, 244
Factor -5*u**4 + 30*u**3 - 65*u**2 + 60*u - 20.
-5*(u - 2)**2*(u - 1)**2
Let -3*o**2/4 + 117*o/4 + 483/2 = 0. Calculate o.
-7, 46
Factor 2*g**2 - 790*g - 2388.
2*(g - 398)*(g + 3)
Factor 3*l**3 - 7*l**2 + 2*l.
l*(l - 2)*(3*l - 1)
Determine z, given that -4*z**4 - 584*z**3 - 21312*z**2 + 584*z + 21316 = 0.
-73, -1, 1
Find o, given that o**3 + 302*o**2 - o - 302 = 0.
-302, -1, 1
Let -3*v**2 + 744*v + 3024 = 0. What is v?
-4, 252
Factor -5*q**2 + 10*q + 40.
-5*(q - 4)*(q + 2)
Suppose 80*y**2 + y/3 = 0. Calculate y.
-1/240, 0
Factor a**2 - 106*a + 408.
(a - 102)*(a - 4)
Determine h so that -4*h**5/3 - 4*h**4/3 + 52*h**3/3 + 100*h**2/3 + 16*h = 0.
-3, -1, 0, 4
Factor 5*d**3 - 175*d**2 - 365*d - 185.
5*(d - 37)*(d + 1)**2
Let 5*d**5 + 45*d**4 - 15*d**3 - 145*d**2 - 90*d = 0. Calculate d.
-9, -1, 0, 2
Factor -3*l**2/2 + 15*l/2 + 21.
-3*(l - 7)*(l + 2)/2
Let 2*g**3/5 + 4*g**2/5 - 6*g/5 = 0. What is g?
-3, 0, 1
Factor -b**4/2 - 2*b**3 + 5*b**2/2.
-b**2*(b - 1)*(b + 5)/2
Factor 3*o**2 - 1164*o + 112908.
3*(o - 194)**2
Factor 121*j**3 + 572*j**2 - 651*j/4 + 45/4.
(j + 5)*(22*j - 3)**2/4
Factor -5*q**4 - 60*q**3 - 115*q**2 + 180*q.
-5*q*(q - 1)*(q + 4)*(q + 9)
Suppose -2*r**3 + 32*r**2 - 82*r + 52 = 0. What is r?
1, 2, 13
Solve -5*x**3 + 495*x**2 - 13395*x + 55225 = 0 for x.
5, 47
Find d such that 9*d**5 - 249*d**4 + 1593*d**3 - 2151*d**2 + 798*d = 0.
0, 2/3, 1, 7, 19
Factor -3*n**4 + 69*n**3 + 147*n**2 + 75*n.
-3*n*(n - 25)*(n + 1)**2
Suppose 3*u**3 + 1671*u**2 - 1674*u = 0. Calculate u.
-558, 0, 1
Factor -4*p**4 - 30*p**3 - 48*p**2 + 32*p.
-2*p*(p + 4)**2*(2*p - 1)
Factor 2*s**2/5 + 62*s/5 - 132/5.
2*(s - 2)*(s + 33)/5
Factor -5*t**2 - 710*t - 25205.
-5*(t + 71)**2
Factor 2*c**2/3 - 14*c/3 + 20/3.
2*(c - 5)*(c - 2)/3
Suppose -16*b**4 - 358*b**3 - 1780*b**2 + 1398*b + 756 = 0. Calculate b.
-14, -9, -3/8, 1
Factor -7*i**4 - 26*i**3 + 43*i**2 - 10*i.
-i*(i - 1)*(i + 5)*(7*i - 2)
Solve -4*j**4 - 172*j**3 + 5908*j**2 + 12316*j + 6240 = 0.
-65, -1, 24
Find l, given that 48*l**4 + 7080*l**3 + 10539*l**2 + 3945*l + 438 = 0.
-146, -1, -1/4
Determine w, given that 3*w**4 - 172*w**3 + 3052*w**2 - 15168*w - 11520 = 0.
-2/3, 10, 24
Factor -3*d**2/4 + 27*d/4 - 21/2.
-3*(d - 7)*(d - 2)/4
Factor -4*w**5/3 - 92*w**4/3 - 652*w**3/3 - 1444*w**2/3 - 1280*w/3 - 400/3.
-4*(w + 1)**3*(w + 10)**2/3
Find p such that -p**2 + 182*p - 8281 = 0.
91
Let 3*a**4 - 72*a**3 + 429*a**2 + 72*a - 432 = 0. What is a?
-1, 1, 12
Factor 28*d**3 - 120*d**2 + 32*d.
4*d*(d - 4)*(7*d - 2)
Let -r**3/5 - 87*r**2/5 + 268*r/5 - 36 = 0. Calculate r.
-90, 1, 2
Factor -t**3/4 - 9*t**2/4 - 11*t/4 + 21/4.
-(t - 1)*(t + 3)*(t + 7)/4
Determine x, given that 2*x**3/5 - 236*x**2/5 + 6962*x/5 = 0.
0, 59
Determine f so that 3*f**3 + 480*f**2 + 5733*f = 0.
-147, -13, 0
Factor -4*x**3 - 452*x**2 + 456*x.
-4*x*(x - 1)*(x + 114)
Factor -r**3/8 - 53*r**2/8 - 403*r/8 + 8649/8.
-(r - 9)*(r + 31)**2/8
Find t such that 4*t**4/7 + 60*t**3/7 = 0.
-15, 0
Factor -3*t**3 + 81*t**2 + 171*t + 87.
-3*(t - 29)*(t + 1)**2
Solve -3*p**4 + 12*p**3 + 36*p**2 - 192*p + 192 = 0 for p.
-4, 2, 4
Determine h so that -2*h**4/3 - 26*h**3/3 - 80*h**2/3 - 24*h = 0.
-9, -2, 0
Let -3*r**3 + 189*r**2 - 2526*r + 4320 = 0. What is r?
2, 16, 45
Factor -3*z**2 + 16*z + 35.
-(z - 7)*(3*z + 5)
Factor -5*b**3 - 140*b**2 + 665*b + 800.
-5*(b - 5)*(b + 1)*(b + 32)
Solve -2*j**3/15 - 8*j**2/3 + 1224*j/5 = 0.
-54, 0, 34
Factor 2*k**4/7 + 22*k**3 - 316*k**2/7.
2*k**2*(k - 2)*(k + 79)/7
Find w such that -2*w**4/3 - 26*w**3/3 + 22*w**2 + 30*w = 0.
-15, -1, 0, 3
Factor -4*v**2 + 72*v.
-4*v*(v - 18)
Factor 2*c**4 - 600*c**3 - 6*c**2 + 1804*c - 1200.
2*(c - 300)*(c - 1)**2*(c + 2)
What is y in 26*y**5 + 56*y**4/3 - 56*y**3 + 64*y**2/3 = 0?
-2, 0, 8/13, 2/3
Factor -2*c**3/9 + 592*c**2/3 - 394*c + 1772/9.
-2*(c - 886)*(c - 1)**2/9
Find r, given that r**2/8 + 47*r + 4418 = 0.
-188
Find z such that -172*z**5 - 852*z**4 - 1508*z**3 - 1132*z**2 - 288*z + 16 = 0.
-2, -1, 2/43
Let 15*o**4 + 165*o**3 - 12*o**2/5 - 132*o/5 = 0. What is o?
-11, -2/5, 0, 2/5
Suppose -f**4/4 + 31*f**3/2 - 207*f**2 - 2079*f/2 - 3267/4 = 0. What is f?
-3, -1, 33
Suppose 4*s**4 + 36*s**3 - 4*s**2 - 36*s = 0. What is s?
-9, -1, 0, 1
Let -3*b**4 + 21*b**3 - 15*b**2 - 21*b + 18 = 0. Calculate b.
-1, 1, 6
Factor -2*k**2/5 - 54*k/5 - 20.
-2*(k + 2)*(k + 25)/5
Determine w, given that 3*w**2/7 - 804*w/7 - 807/7 = 0.
-1, 269
Determine k so that -k**4 + 225*k**3 - 224*k**2 = 0.
0, 1, 224
Suppose 3564*l**2 - 2388*l + 8 = 0. What is l?
1/297, 2/3
Factor -3*b**2 - 26*b + 9.
-(b + 9)*(3*b - 1)
Determine c so that 42*c**2/5 - 2042*c + 972/5 = 0.
2/21, 243
Find w such that w**4/4 - 2*w**3 - 3*w**2/4 + 13*w/2 - 4 = 0.
-2, 1, 8
Factor -4*z**4 - 36*z**3 - 56*z**2 + 96*z.
-4*z*(z - 1)*(z + 4)*(z + 6)
Determine z so that 5*z**2/8 - z/4 - 3/8 = 0.
-3/5, 1
Factor 2*u**2/13 + 852*u/13 + 90738/13.
2*(u + 213)**2/13
Factor -2*p**4/13 + 24*p**3/13 - 70*p**2/13.
-2*p**2*(p - 7)*(p - 5)/13
Find y such that 4*y**5/5 + 44*y**4/5 + 28*y**3/5 - 572*y**2/5 + 224*y/5 + 784/5 = 0.
-7, -1, 2
Solve z**5 + 9*z**4 + 29*z**3 + 43*z**2 + 30*z + 8 = 0.
-4, -2, -1
Suppose 11697*x**3 + 16668*x**2 + 4953*x - 18 = 0. Calculate x.
-1, -3/7, 2/557
Find g such that 4*g**5 + 12*g**4 + 4*g**3 - 12*g**2 - 8*g = 0.
-2, -1, 0, 1
Factor 1014*j**2/11 + 49296*j/11 + 599136/11.
6*(13*j + 316)**2/11
Find m, given that -2*m**5 - 272*m**4 - 8968*m**3 + 19316*m**2 + 8970*m - 19044 = 0.
-69, -1, 1, 2
Factor -y**2 - 93*y + 94.
-(y - 1)*(y + 94)
Factor 2*c**3 - 150*c**2 + 2016*c - 7552.
2*(c - 59)*(c - 8)**2
Factor 3*a**5/4 - 9*a**4 + 36*a**3 - 48*a**2.
3*a**2*(a - 4)**3/4
Factor 3*d**2/2 - 15*d + 75/2.
3*(d - 5)**2/2
Suppose -784*z**5 + 7308*z**4 - 8492*z**3 + 1568*z**2 + 528*z - 128 = 0. What is z?
-1/4, 2/7, 1, 8
Let -12*a**4/5 - 172*a**3/5 + 124*a**2/5 + 12*a = 0. What is a?
-15, -1/3, 0, 1
Solve -3*s**4 + 72*s**3 - 303*s**2 - 918*s = 0 for s.
-2, 0, 9, 17
Factor 3*p**5 + 366*p**4 - 3852*p**3 + 14094*p**2 - 21303*p + 10692.
3*(p - 3)**3*(p - 1)*(p + 132)
Solve 3*x**3/4 + 12*x**2 + 123*x/4 + 39/2 = 0 for x.
-13, -2, -1
Determine g so that 2*g**4/11 - 96*g**3/11 - 514*g**2/11 - 840*g/11 - 424/11 = 0.
-2, -1, 53
Factor 5*p**4 - 155*p**3 + 720*p**2 + 8100*p.
5*p*(p - 18)**2*(p + 5)
What is h in 5*h**2 + 5*h = 0?
-1, 0
Factor -3*i**3 - 3*i**2 + 768*i + 768.
-3*(i - 16)*(i + 1)*(i + 16)
Suppose 6*p**4/7 - 3560*p**3/7 + 4734*p**2/7 + 1188*p/7 - 2368/7 = 0. What is p?
-2/3, 1, 592
Find n such that -36*n**3/5 + 316*n**2 - 1544*n/5 = 0.
0, 1, 386/9
Let 18*i**5/7 + 804*i**4/7 + 8420*i**3/7 - 1800*i**2 + 1242*i/7 + 2116/7 = 0. Calculate i.
-23, -1/3, 2/3, 1
Determine q so that -3*q**3/8 - 45*q**2/4 - 675*q/8 = 0.
-15, 0
Factor 3*j**2 + 450*j + 16875.
3*(j + 75)**2
Find v such that 25*v**3/2 - 249*v**2/4 - 305*v/4 - 3/2 = 0.
-1, -1/50, 6
Let 5*l**5 + 65*l**4 + 150*l**3 - 610*l**2 - 1435*l - 735 = 0. What is l?
-7, -1, 3
Let -3*d**3 - 3*d**2 + 24*d + 36 = 0. Calculate d.
-2, 3
What is s in 16*s**4/11 - 50*s**3/11 - 180*s**2/11 + 50*s/11 + 164/11 = 0?
-2, -1, 1, 41/8
What is f in -21*f**3/2 + 39*f**2 + 348*f + 96 = 0?
-4, -2/7, 8
Determine b so that 4*b**4/3 + 8*b**3/3 - 20*b**2 + 16*b/3 + 80/3 = 0.
-5, -1, 2
Factor 4*h**2 + 10444*h + 20872.
4*(h + 2)*(h + 2609)
Factor 2*u**3/9 - 856*u**2/9 - 3448*u/9 - 384.
2*(u - 432)*(u + 2)**2/9
Solve -u**4 + 33*u**3 + 36*u**2 - 68*u = 0 for u.
-2, 0, 1, 34
Find d, given that 2*d**3/11 + 42*d**2/11 + 232*d/11 + 192/11 = 0.
-12, -8, -1
Factor -2*x**4/7 + 6072*x**3/7 - 4602572*x**2/7 - 1317624*x - 659246.
-2*(x - 1519)**2*(x + 1)**2/7
Factor y**3 - 1943*y**2 + 946720*y - 2822700.
(y - 970)**2*(y - 3)
Let l**4/7 + 102*l**3/7 + 3105*l**2/7 + 24300*l/7 = 0. What is l?
-45, -12, 0
Find k such that -5*k**2 - 4240*k - 898880 = 0.
-424
Let -3*h**3/2 - 19*h**2/4 - 3*h/4 = 0. What is h?
-3, -1/6, 0
Solve 5*v**5 - 2225*v**4 - 11210*v**3