/3 = 0.
-34, 2
What is z in 12*z**2 - 249*z - 63 = 0?
-1/4, 21
Determine m so that 4*m**2/11 + 146*m/11 - 74/11 = 0.
-37, 1/2
Find a such that -8*a**2/3 + 278*a/3 + 286/3 = 0.
-1, 143/4
What is b in 2*b**3 + 62*b**2 - 68*b - 128 = 0?
-32, -1, 2
Determine k, given that -2*k**4/7 + 12*k**3/7 - 64*k/7 = 0.
-2, 0, 4
What is r in r**2 - 458*r = 0?
0, 458
Determine o, given that -2*o**2 + 2*o = 0.
0, 1
Factor -b**2/5 - 44*b/5 + 141/5.
-(b - 3)*(b + 47)/5
Solve l**4/2 + 25*l**3/2 + 68*l**2 + 90*l = 0.
-18, -5, -2, 0
Factor -2*l**2/5 + 26*l/5.
-2*l*(l - 13)/5
Solve h**3/5 + 14*h**2/5 + 11*h/5 - 26/5 = 0 for h.
-13, -2, 1
Factor j**4/4 + 77*j**3/2 - 643*j**2/4 - 436*j - 237.
(j - 6)*(j + 1)**2*(j + 158)/4
Find a such that 12*a**4/5 + 214*a**3/5 + 936*a**2/5 - 162*a/5 = 0.
-9, 0, 1/6
Solve v**5 - 6*v**4 + 8*v**3 + 2*v**2 - 9*v + 4 = 0 for v.
-1, 1, 4
Determine f, given that -48*f**2 - 5448*f - 154587 = 0.
-227/4
Solve 2*v**3/21 + 12*v**2/7 + 64*v/7 + 256/21 = 0.
-8, -2
Suppose -2*q**3/9 + 8*q**2 - 46*q/3 + 68/9 = 0. What is q?
1, 34
Factor 34*l**2/3 - 16*l + 14/3.
2*(l - 1)*(17*l - 7)/3
Let 5*a**2 + 705*a + 700 = 0. What is a?
-140, -1
Suppose -h**5/4 - 17*h**4/4 - 43*h**3/4 + 241*h**2/4 - 70*h + 25 = 0. Calculate h.
-10, 1
Solve -2*r**4/23 - 66*r**3/23 - 746*r**2/23 - 3102*r/23 - 2420/23 = 0 for r.
-11, -10, -1
Factor -m**5/4 + 13*m**4/4 + 97*m**3/2 + 387*m**2/2 + 1215*m/4 + 621/4.
-(m - 23)*(m + 1)*(m + 3)**3/4
Factor -g**2/2 + 2669*g/2 + 1335.
-(g - 2670)*(g + 1)/2
Factor a**3 + 4197*a**2 + 4401603*a - 4405801.
(a - 1)*(a + 2099)**2
Suppose 5*f**4 - 145*f**3 + 130*f**2 + 280*f = 0. Calculate f.
-1, 0, 2, 28
Factor -3*o**3 + 147*o**2 - 285*o + 141.
-3*(o - 47)*(o - 1)**2
Factor -3*b**3/5 + 5289*b**2 - 58264944*b/5 - 58291392/5.
-3*(b - 4408)**2*(b + 1)/5
Find b such that -5*b**3/3 - 55*b**2/3 - 190*b/3 - 200/3 = 0.
-5, -4, -2
Factor 2*s**4/11 - 4*s**3/11 - 26*s**2/11 - 20*s/11.
2*s*(s - 5)*(s + 1)*(s + 2)/11
Factor 3*j**4 - 456*j**3 - 1860*j**2 - 1872*j.
3*j*(j - 156)*(j + 2)**2
Suppose -3*k**2/8 + 57*k/8 - 27/4 = 0. What is k?
1, 18
Factor -2*p**3/3 - 58*p**2/3 - 286*p/3 - 230/3.
-2*(p + 1)*(p + 5)*(p + 23)/3
Factor -4*a**2 - 96*a + 6480.
-4*(a - 30)*(a + 54)
Factor 3*f**4 + 57*f**3 - 225*f**2 - 609*f - 330.
3*(f - 5)*(f + 1)**2*(f + 22)
Determine j so that j**4 - 2*j**2 + 1 = 0.
-1, 1
Factor 25*y**3 + 4165*y**2 + 175536*y + 171396.
(y + 1)*(5*y + 414)**2
Let 2*d**2 - 154*d - 1360 = 0. What is d?
-8, 85
Let 4*i**3/3 + 16*i**2 = 0. Calculate i.
-12, 0
Factor -2*s**4 - 296*s**3 - 11242*s**2 - 21316*s.
-2*s*(s + 2)*(s + 73)**2
Solve -9*b**3 + 150*b**2 - 231*b + 90 = 0.
2/3, 1, 15
Let -c**4 - 6*c**3 - c**2 + 24*c - 16 = 0. What is c?
-4, 1
Factor 2*i**3/9 + 436*i**2/3 + 434*i/3 - 2612/9.
2*(i - 1)*(i + 2)*(i + 653)/9
Solve -m**5/3 + 10*m**4/3 - 32*m**3/3 + 32*m**2/3 = 0.
0, 2, 4
Factor -3*d**2/2 - 4689*d - 7328907/2.
-3*(d + 1563)**2/2
Factor -2*b**4 + 48*b**3 - 288*b**2 - 512*b + 6144.
-2*(b - 12)*(b - 8)**2*(b + 4)
Find c, given that -297*c**3 - 372*c**2 - 63*c + 12 = 0.
-1, -4/11, 1/9
Factor -126*j**2/13 + 118*j/13 + 8/13.
-2*(j - 1)*(63*j + 4)/13
Suppose 2*g**5 + 18*g**4 - 10*g**3 - 90*g**2 + 8*g + 72 = 0. What is g?
-9, -2, -1, 1, 2
Let f**2/4 - 53*f/2 + 2809/4 = 0. Calculate f.
53
Factor -2*r**4/7 + 12*r**3/7 - 18*r**2/7 + 8*r/7.
-2*r*(r - 4)*(r - 1)**2/7
Find l, given that 2*l**4 - 2*l**3 - 20*l**2 - 16*l = 0.
-2, -1, 0, 4
Factor a**3/2 - 20*a**2 + 213*a/2 - 153.
(a - 34)*(a - 3)**2/2
Suppose -3*d**2/5 + 1206*d/5 - 121203/5 = 0. What is d?
201
Factor -w**3 + 36*w**2 - 320*w + 768.
-(w - 24)*(w - 8)*(w - 4)
Factor 3*y**2/4 - 63*y/2 + 1323/4.
3*(y - 21)**2/4
Factor -2*l**2/3 + 370*l/3 - 1596.
-2*(l - 171)*(l - 14)/3
Factor -v**3/10 - 2*v**2/5 + 3*v/10 + 9/5.
-(v - 2)*(v + 3)**2/10
Let 3*k**5 + 96*k**4 + 423*k**3 + 474*k**2 - 348*k - 648 = 0. What is k?
-27, -2, 1
Factor -92*h**3/7 + 284*h**2/7 - 24*h/7.
-4*h*(h - 3)*(23*h - 2)/7
Factor 4*m**2/5 - 24*m/5 - 3328/5.
4*(m - 32)*(m + 26)/5
Determine p, given that p**5 - 18*p**4 + 11*p**3 + 106*p**2 - 60*p - 136 = 0.
-2, -1, 2, 17
Determine q, given that q**2/4 - 165*q/4 - 126 = 0.
-3, 168
Factor 4*o**4 + 36*o**3 + 96*o**2 + 80*o.
4*o*(o + 2)**2*(o + 5)
Factor 8*r**2 + 4*r - 4.
4*(r + 1)*(2*r - 1)
Factor -4*p**5 - 1312*p**4 - 108884*p**3 - 212552*p**2.
-4*p**2*(p + 2)*(p + 163)**2
Let i**5 - 39*i**4 + 398*i**3 - 322*i**2 - 399*i + 361 = 0. What is i?
-1, 1, 19
Factor f**3/7 + 2*f**2/7 - 68*f/7 + 120/7.
(f - 6)*(f - 2)*(f + 10)/7
Let 2*d**4/15 + 2*d**3/15 - 14*d**2/15 - 2*d/15 + 4/5 = 0. Calculate d.
-3, -1, 1, 2
Factor -2*c**3/15 - 22*c**2/3 - 212*c/15.
-2*c*(c + 2)*(c + 53)/15
Let -4*t**2/7 + 32*t/7 + 36/7 = 0. Calculate t.
-1, 9
Determine p so that 15*p**5 - 149*p**4 + 483*p**3 - 487*p**2 - 102*p + 72 = 0.
-2/5, 1/3, 3, 4
Solve -2*n**5 - 66*n**4 + 300*n**3 + 124*n**2 - 906*n - 666 = 0.
-37, -1, 3
Solve -3*l**2/7 - 69*l/7 + 60 = 0.
-28, 5
Determine r, given that 3*r**2 - 39*r - 90 = 0.
-2, 15
Factor -2*n**2/5 + 76*n/5 - 722/5.
-2*(n - 19)**2/5
Find h such that -h**2/11 - h + 180/11 = 0.
-20, 9
Let 14*i**4/3 - 8*i**3 + 2*i**2 + 4*i/3 = 0. Calculate i.
-2/7, 0, 1
Factor -4*a**3 + 2388*a**2 + 9600*a + 9616.
-4*(a - 601)*(a + 2)**2
Factor 3*n**2 - 1929*n - 3870.
3*(n - 645)*(n + 2)
Suppose 12*r**5 + 208*r**4 + 3901*r**3/3 + 3557*r**2 + 4200*r + 1764 = 0. Calculate r.
-6, -3, -7/6
Factor -g**3/4 - 21*g**2 + 1323*g/4 - 2401/2.
-(g - 7)**2*(g + 98)/4
Factor -192*q**2 - 1551*q - 120.
-3*(q + 8)*(64*q + 5)
Factor f**4/3 - 4*f**3/3 - f**2 + 10*f/3 + 8/3.
(f - 4)*(f - 2)*(f + 1)**2/3
What is u in 4*u**4 + 4*u**3 - 24*u**2 - 16*u + 32 = 0?
-2, 1, 2
Find u such that -2*u**2 + 11*u/4 + 19/4 = 0.
-1, 19/8
Factor 2*f**2/19 + 12*f/19 - 110/19.
2*(f - 5)*(f + 11)/19
Factor -2*w**3 - 30*w**2 + 66*w - 34.
-2*(w - 1)**2*(w + 17)
Solve r**2/6 - 419*r/6 + 208 = 0.
3, 416
Factor 9*a**2/2 + 33*a/2 - 21.
3*(a - 1)*(3*a + 14)/2
Factor o**4/4 + 13*o**3/2 - 29*o**2/4 - 27*o/2.
o*(o - 2)*(o + 1)*(o + 27)/4
Determine b so that -5*b**5 - 500*b**4 - 4625*b**3 - 11250*b**2 = 0.
-90, -5, 0
Let -3*h**3/2 + 54*h**2 - 105*h/2 = 0. What is h?
0, 1, 35
Factor 14*f**3 - 920*f**2 + 646*f + 260.
2*(f - 65)*(f - 1)*(7*f + 2)
Factor -4*p**2 + 14224*p - 12645136.
-4*(p - 1778)**2
Let -3*l**4 + 36*l**3 - 150*l**2 + 252*l - 135 = 0. Calculate l.
1, 3, 5
Find c such that -3*c**4/7 + 27*c**3/7 - 66*c**2/7 + 96/7 = 0.
-1, 2, 4
Factor 2*m**3 + 16*m**2 - 2*m - 16.
2*(m - 1)*(m + 1)*(m + 8)
Determine q, given that 2*q**4/9 + 4*q**3/9 = 0.
-2, 0
Solve -2*u**2 + 244*u - 4704 = 0.
24, 98
Factor -4*o**4 + 64*o**3 - 276*o**2 + 360*o.
-4*o*(o - 10)*(o - 3)**2
Determine r so that -r**4 + r**3 + 3*r**2 - r - 2 = 0.
-1, 1, 2
Factor d**5 - 5*d**4 + 6*d**3 + 2*d**2 - 7*d + 3.
(d - 3)*(d - 1)**3*(d + 1)
What is l in 4*l**3 + 72*l**2 + 116*l - 192 = 0?
-16, -3, 1
Determine o, given that -3*o**3/4 - 43*o**2/4 - 7*o/2 = 0.
-14, -1/3, 0
Let -4*h**2/7 - 712*h/7 - 1408/7 = 0. Calculate h.
-176, -2
Factor -3*m**3 + 111*m**2.
-3*m**2*(m - 37)
Let -12*a**3 - 1971*a**2/7 + 1074*a/7 - 144/7 = 0. Calculate a.
-24, 1/4, 2/7
Suppose 15*q**4 + 25*q**3 - 230*q**2 - 400*q - 160 = 0. What is q?
-4, -1, -2/3, 4
Factor i**2/2 + 44*i + 168.
(i + 4)*(i + 84)/2
Factor -3*j**4/2 + 9*j**2/2 - 3*j.
-3*j*(j - 1)**2*(j + 2)/2
Determine t, given that -t**4 - 934*t**3 + 1876*t**2 + 3736*t - 7488 = 0.
-936, -2, 2
Find b such that -3*b**2/2 + 27*b/2 - 12 = 0.
1, 8
Solve -108*j**4 - 2160*j**3 - 2088*j**2 - 688*j - 76 = 0.
-19, -1/3
What is b in b**3/6 + 29*b**2 + 114*b + 340/3 = 0?
-170, -2
Determine a so that a**4 - a**3 - a**2 + a = 0.
-1, 0, 1
Find o such that -2*o**3/9 - 46*o**2 - 2422*o/9 - 670/3 = 0.
-201, -5, -1
Find n such that -4*n**4 - 2936*n**3 - 538756*n**2 = 0.
-367, 0
Factor 4*d**5 - 12*d**4 + 4*d**3 + 12*d**2 - 8*d.
4*d*(d - 2)*(d - 1)**2*(d + 1)
Determine x, given that 5*x**2 - 5440*x - 5445 = 0.
-1, 1089
Factor 4*f**3 + 84*f**2 - 184*f.
4*f*(f - 2)*(f + 23)
Solve -v**5/3 - 10*v**4/3 + 14*v**3/3 + 32*v**2/3 - 13*v/3 - 22/3 = 0.
-11, -1, 1, 2
Factor k**4/9 - 1232*k**3/3 + 379456*k**2.
k**2*(k - 1848)**2/9
Factor 3*u**2/7 - 183*u/7 + 252.
3*(u - 49)*(u - 12)/7
Factor 28*p**3 - 12032*p**2 + 8572*p + 3432.
4*(p - 429)*(p - 1)*(7*p + 2)
Factor 15*l**2/7 + 2403*l/7 - 276.
3*(l + 161)*(5