.
2*(a + 1)*(a + 9)*(a + 68)**2
Factor 2*o**2 + 8*o - 1914.
2*(o - 29)*(o + 33)
Find r such that -405*r**5 - 3825*r**4 - 12575*r**3 - 15975*r**2 - 5400*r - 540 = 0.
-3, -2/9
Factor 2*w**3 - 166*w**2.
2*w**2*(w - 83)
Find a such that -4*a**3 + 252*a**2 - 956*a + 708 = 0.
1, 3, 59
Suppose a**4 + 53*a**3 + 103*a**2 + 51*a = 0. What is a?
-51, -1, 0
Find c such that -c**5/10 - c**4/10 + 9*c**3/2 + c**2/10 - 64*c/5 + 42/5 = 0.
-7, -2, 1, 6
Solve n**3/3 + 70*n**2/3 + 384*n - 864 = 0.
-36, 2
Find i such that 5*i**2 + 120*i - 2925 = 0.
-39, 15
Find t such that -t**5/6 + 5*t**4/3 + 67*t**3/6 + 58*t**2/3 + 10*t = 0.
-2, -1, 0, 15
Suppose 4*y**2/7 - 192*y/7 + 1280/7 = 0. Calculate y.
8, 40
Let 32*m**3/9 - 176*m**2/3 - 94*m - 36 = 0. What is m?
-3/4, 18
Let -4*h**2 - 124*h = 0. Calculate h.
-31, 0
Find t such that -12*t**5 - 128*t**4 - 284*t**3 + 488*t**2 + 1136*t + 480 = 0.
-6, -5, -1, -2/3, 2
Factor 5*s**3 + 55*s**2 - 125*s + 65.
5*(s - 1)**2*(s + 13)
Let -a**3/7 - 2*a**2 + 7*a - 34/7 = 0. Calculate a.
-17, 1, 2
Determine t so that 4*t**3 + 28*t**2 - 392*t = 0.
-14, 0, 7
Factor -3*h**4 + 15*h**3 - 3*h**2 - 63*h + 54.
-3*(h - 3)**2*(h - 1)*(h + 2)
Determine w so that 5*w**2 - 60*w - 65 = 0.
-1, 13
Solve -q**5/2 + 5*q**4/2 + 3*q**3/2 - 29*q**2/2 - q + 12 = 0 for q.
-2, -1, 1, 3, 4
Solve -t**4/6 - 19*t**3/6 + 44*t**2/3 - 46*t/3 = 0.
-23, 0, 2
Determine l so that -2*l**3/17 + 12*l**2/17 + 2*l/17 - 12/17 = 0.
-1, 1, 6
Solve -2*c**3/5 + 324*c**2/5 - 17496*c/5 + 314928/5 = 0.
54
Solve y**3/6 - 379*y**2/6 + 17860*y/3 + 18050/3 = 0.
-1, 190
Factor -k**2 - 560*k - 78400.
-(k + 280)**2
Find x such that -2*x**2 - 102*x + 812 = 0.
-58, 7
Factor 3*p**2 - 87*p/4 - 18.
3*(p - 8)*(4*p + 3)/4
Factor 3*o**5/5 - 399*o**4/5.
3*o**4*(o - 133)/5
Let -2*g**2/13 + 100*g/13 + 102/13 = 0. What is g?
-1, 51
Suppose 2*c**3/3 + 16*c**2/3 = 0. What is c?
-8, 0
Factor b**4/3 + 5308*b**3/3 + 3521858*b**2 + 9347011132*b/3 + 3100870943041/3.
(b + 1327)**4/3
Factor -c**2/4 - 159*c/2.
-c*(c + 318)/4
Factor -4*h**4 - 18*h**3 - 18*h**2.
-2*h**2*(h + 3)*(2*h + 3)
Determine l, given that 3*l**5 + 2*l**4 - 30*l**3 - 20*l**2 + 27*l + 18 = 0.
-3, -1, -2/3, 1, 3
Factor n**2/2 + 249*n + 62001/2.
(n + 249)**2/2
Suppose -3*f**5 + 9*f**4 + 27*f**3 + 15*f**2 = 0. What is f?
-1, 0, 5
Factor 5*m**4 - 20*m**3 - 25*m**2 + 180*m - 180.
5*(m - 3)*(m - 2)**2*(m + 3)
Factor -5*x**2 - 140*x - 980.
-5*(x + 14)**2
Suppose 2*a**4/11 - 10*a**3/11 + 16*a**2/11 - 8*a/11 = 0. Calculate a.
0, 1, 2
Factor -3*t**5/7 + 12*t**4/7 - 3*t**3/7 - 30*t**2/7 + 12*t/7 + 24/7.
-3*(t - 2)**3*(t + 1)**2/7
Factor 2*b**3 - 320*b**2 - 974*b - 652.
2*(b - 163)*(b + 1)*(b + 2)
Suppose -5*g**5 + 30*g**4 - 40*g**3 - 10*g**2 + 45*g - 20 = 0. What is g?
-1, 1, 4
Find c, given that -2*c**5 - 256*c**4 - 2186*c**3 - 5236*c**2 + 64*c + 7616 = 0.
-119, -4, -2, 1
Solve -7*z**4/3 - 5*z**3/3 + 37*z**2/3 - 31*z/3 + 2 = 0 for z.
-3, 2/7, 1
Factor 4*d**4/7 + 12*d**3 - 520*d**2/7.
4*d**2*(d - 5)*(d + 26)/7
Let -5*m**2 + 220*m - 1140 = 0. What is m?
6, 38
Factor g**3/7 + 3*g**2/7 + 2*g/7.
g*(g + 1)*(g + 2)/7
Solve -2*v**5/3 - 6*v**4 - 28*v**3/3 + 68*v**2/3 + 10*v - 50/3 = 0.
-5, -1, 1
Let -4*k**2 + 84*k - 152 = 0. What is k?
2, 19
Solve -3*v**3 + 273*v**2 + 555*v + 279 = 0 for v.
-1, 93
Suppose 3*n**5/4 - 3*n**4 - 69*n**3/4 + 81*n**2/2 + 81*n - 162 = 0. Calculate n.
-3, 2, 6
Suppose -25*r**5/2 + 235*r**4/4 - 113*r**3/2 - 85*r**2/4 - 3*r/2 = 0. What is r?
-1/5, -1/10, 0, 2, 3
Factor -3*q**3 - 105*q**2.
-3*q**2*(q + 35)
Solve -4*x**5 - 24*x**4 - 44*x**3 - 24*x**2 = 0 for x.
-3, -2, -1, 0
Factor -4*b**3 - 32*b**2 + 192*b.
-4*b*(b - 4)*(b + 12)
Factor -2*n**4 - 70*n**3 - 708*n**2 - 1664*n - 1024.
-2*(n + 1)*(n + 2)*(n + 16)**2
Determine a so that -a**4/6 - 118*a**3/3 + 119*a**2/3 + 118*a/3 - 79/2 = 0.
-237, -1, 1
Solve -2*n**3/9 - 100*n**2/3 - 392*n/3 - 1168/9 = 0 for n.
-146, -2
Solve 6*v**4/7 - 17*v**3/7 - 3*v**2/7 = 0 for v.
-1/6, 0, 3
Determine g so that -2*g**5 - 11*g**4/2 + 103*g**3/2 + 275*g**2/2 - 75*g/2 = 0.
-5, -3, 0, 1/4, 5
Factor -3*s**4/7 - 9*s**3/7 + 48*s**2/7 - 36*s/7.
-3*s*(s - 2)*(s - 1)*(s + 6)/7
Find h, given that h**2 - 15*h - 16 = 0.
-1, 16
Determine h, given that -2*h**5/11 - 566*h**4/11 - 1124*h**3/11 + 4*h**2/11 + 1126*h/11 + 562/11 = 0.
-281, -1, 1
Factor -3*c**2/2 + 2019*c - 1358787/2.
-3*(c - 673)**2/2
Factor -3*q**2/4 - 48*q + 195/4.
-3*(q - 1)*(q + 65)/4
Factor f**4/2 - 5*f**3 + 4*f**2 + 5*f - 9/2.
(f - 9)*(f - 1)**2*(f + 1)/2
Suppose 2*t**2/17 - 220*t/17 - 126 = 0. What is t?
-9, 119
Factor 2*t**2 + 172*t + 3698.
2*(t + 43)**2
Let w**2 - 39*w - 220 = 0. Calculate w.
-5, 44
Factor k**5/4 - 2*k**4 + 6*k**3 - 8*k**2 + 4*k.
k*(k - 2)**4/4
Factor -z**3 + 7*z**2 + z - 7.
-(z - 7)*(z - 1)*(z + 1)
Factor 3*p**2/8 + 155*p/8 + 66.
(p + 48)*(3*p + 11)/8
Determine w, given that 5*w**4 + 310*w**3 - 5*w**2 - 310*w = 0.
-62, -1, 0, 1
Find w such that 4*w**2 - 1460*w + 1456 = 0.
1, 364
Factor -4*h**4 - 16*h**3 + 28*h**2 + 40*h.
-4*h*(h - 2)*(h + 1)*(h + 5)
Determine l so that 2*l**4/3 - 112*l**3/3 - 118*l**2/3 + 76*l = 0.
-2, 0, 1, 57
Factor 4*k**3 - 140*k**2 - 6688*k + 236816.
4*(k - 38)**2*(k + 41)
Suppose -12*h**4 + 32*h**3 + 60*h**2 + 16*h = 0. What is h?
-1, -1/3, 0, 4
Determine k so that 125*k**5 + 1700*k**4 + 31445*k**3/4 + 58535*k**2/4 + 47435*k/4 + 14045/4 = 0.
-53/10, -1
Suppose -w**3 - 2*w**2 + 15*w = 0. What is w?
-5, 0, 3
Factor 5*y**4 - 165*y**3 + 990*y**2 + 8100*y - 29160.
5*(y - 18)**2*(y - 3)*(y + 6)
Determine q so that 4*q**3 + 84*q**2 + 272*q = 0.
-17, -4, 0
Factor 2*o**2/5 - 16*o + 222/5.
2*(o - 37)*(o - 3)/5
Factor -25*o**3/4 + 5*o**2 - o.
-o*(5*o - 2)**2/4
Find h, given that -h**2/9 + 71*h/3 = 0.
0, 213
Find p such that -512*p**3/13 + 192*p**2/13 + 102*p + 52 = 0.
-13/16, 2
Suppose -3*v**4 - 48*v**3 + 243*v**2 + 48*v - 240 = 0. Calculate v.
-20, -1, 1, 4
Determine m so that -m**3/5 + 418*m**2/5 - 44908*m/5 + 254616/5 = 0.
6, 206
Determine b, given that 3*b**2 + 8673*b/4 - 2169/4 = 0.
-723, 1/4
Factor 2*a**2 + 2684*a + 900482.
2*(a + 671)**2
Let 10*c**5/7 + 4*c**4/7 - 74*c**3/7 - 12*c**2 = 0. What is c?
-2, -7/5, 0, 3
Factor 3*y**3 + 1395*y**2 + 216225*y + 11171625.
3*(y + 155)**3
Factor 3*l**2/7 + 1188*l/7.
3*l*(l + 396)/7
Suppose 4*q**5/7 + 144*q**4/7 - 44*q**3 - 144*q**2/7 + 304*q/7 = 0. What is q?
-38, -1, 0, 1, 2
Solve -h**4/7 - 3*h**3/7 - 2*h**2/7 = 0 for h.
-2, -1, 0
Factor -5*k**3 - 25605*k**2 - 32767995*k + 32793605.
-5*(k - 1)*(k + 2561)**2
Let -k**5 + 2*k**4 - k**3 = 0. What is k?
0, 1
Find o such that -16*o**2 + 324*o + 252 = 0.
-3/4, 21
Determine s so that 67*s**2/7 - 542*s/7 + 48/7 = 0.
6/67, 8
Determine d so that -d**2/4 + 12*d + 25 = 0.
-2, 50
What is l in -28*l**4/9 - 32*l**3 + 44*l**2 + 1984*l/9 + 176/3 = 0?
-11, -2, -2/7, 3
Find z such that 2*z**3/5 + 16*z**2/5 + 34*z/5 + 4 = 0.
-5, -2, -1
Factor 2*d**2 + 468*d + 27378.
2*(d + 117)**2
Let -3*b**3/7 + 93*b**2 + 1311*b/7 + 657/7 = 0. What is b?
-1, 219
Factor 5*x**5 + 25*x**4 + 40*x**3 + 20*x**2.
5*x**2*(x + 1)*(x + 2)**2
Factor -z**2/7 - 568*z/7 - 80656/7.
-(z + 284)**2/7
Factor -4*c**5 + 36*c**4 + 208*c**3.
-4*c**3*(c - 13)*(c + 4)
Solve -5*k**5 - 40*k**4 - 65*k**3 - 30*k**2 = 0.
-6, -1, 0
Find k, given that -12*k**4 + 2085*k**3 - 11682*k**2 + 15093*k + 4536 = 0.
-1/4, 3, 168
Factor -2*m**3/9 + 10*m**2.
-2*m**2*(m - 45)/9
Factor q**2/8 - 215*q/4 + 46225/8.
(q - 215)**2/8
Factor -p**5/4 - 33*p**4/4 + 69*p**3/4 - 35*p**2/4.
-p**2*(p - 1)**2*(p + 35)/4
Solve 10*a**5 - 46*a**4 + 40*a**3 + 24*a**2 = 0.
-2/5, 0, 2, 3
Factor -16*u**4/13 + 8*u**3/13 + 20*u**2/13 + 6*u/13.
-2*u*(2*u - 3)*(2*u + 1)**2/13
Find u such that -4*u**4/5 + 8*u**3/5 + 12*u**2 + 16*u/5 - 16 = 0.
-2, 1, 5
Solve 3*b**5/7 + 3*b**4/7 - 9*b**3/7 - 15*b**2/7 - 6*b/7 = 0.
-1, 0, 2
Factor -4*t**3/9 + 104*t**2/9 - 196*t/9 + 32/3.
-4*(t - 24)*(t - 1)**2/9
Let 4*k**2/5 - 48*k/5 - 52/5 = 0. What is k?
-1, 13
Factor -3*f**3 + 27*f**2 - 42*f.
-3*f*(f - 7)*(f - 2)
Let -3*c**3/7 - 87*c**2/7 - 54*c - 432/7 = 0. Calculate c.
-24, -3, -2
Factor -s**5/4 - s**4 - 5*s**3/4 - s**2/2.
-s**2*(s + 1)**2*(s + 2)/4
Find i such that i**4 - 12*i**3 - 12*i**2 + 448*i - 768 = 0.
-6, 2, 8
Factor 2*f**2/11 + 76*f/11 + 722/11.
2*(f + 19)**2/11
Determine f so that -3*f**4/4 + 7*f**3/4 + 3*f**2/2 = 0.
-2/3, 0, 3
Find h, g