-3*n*(n + 2)*(n + 8)/7
Factor -f**3/10 + 3*f**2/10 + f/10 - 3/10.
-(f - 3)*(f - 1)*(f + 1)/10
Factor c**5 - 48*c**4 + 767*c**3 - 4048*c**2 - 768*c + 4096.
(c - 16)**3*(c - 1)*(c + 1)
Factor -5*s**3 + 30*s**2 + 45*s - 70.
-5*(s - 7)*(s - 1)*(s + 2)
What is t in -3*t**2/5 + 1287*t/5 - 1284/5 = 0?
1, 428
Solve -2*c**4/3 + 28*c**3/3 - 10*c**2/3 - 232*c/3 + 104 = 0.
-3, 2, 13
Factor -3*h**3/2 - 162*h**2 + 6*h + 648.
-3*(h - 2)*(h + 2)*(h + 108)/2
Suppose -9*r**2 - 246*r - 81 = 0. What is r?
-27, -1/3
Find i such that 3*i**4/2 - 99*i**3/2 - 105*i**2/2 + 99*i/2 + 51 = 0.
-1, 1, 34
Determine s so that -4*s**4 + 192*s**3 + 3492*s**2 + 17712*s + 27216 = 0.
-6, -3, 63
Factor 3*t**2 + 999*t - 1002.
3*(t - 1)*(t + 334)
Suppose 2*z**4/7 + 134*z**3/7 + 130*z**2/7 - 134*z/7 - 132/7 = 0. What is z?
-66, -1, 1
Suppose 4*u**5 - 294*u**4 + 426*u**3 + 436*u**2 - 288*u = 0. Calculate u.
-1, 0, 1/2, 2, 72
Let -2*g**5/5 + 126*g**4/5 - 2646*g**3/5 + 21122*g**2/5 - 12720*g + 9000 = 0. What is g?
1, 6, 25
What is g in 12*g**5 + 46*g**4 + 52*g**3 + 14*g**2 - 4*g = 0?
-2, -1, 0, 1/6
Suppose -d**2/2 + 58*d - 1682 = 0. Calculate d.
58
Factor -z**3/2 - z**2 + 9*z/2 + 9.
-(z - 3)*(z + 2)*(z + 3)/2
Factor q**2/6 - 610*q/3 + 186050/3.
(q - 610)**2/6
What is f in -9*f**2 - 426*f + 288 = 0?
-48, 2/3
Find t, given that -4*t**4 - 20*t**3 - 12*t**2 + 20*t + 16 = 0.
-4, -1, 1
Suppose -3*w**2 + 21*w - 36 = 0. What is w?
3, 4
Let 4*o**3/3 - 16*o**2/3 + 16*o/3 = 0. What is o?
0, 2
Factor 3*m**3 + 225*m**2 + 1458*m + 2040.
3*(m + 2)*(m + 5)*(m + 68)
Factor -3*s**2/4 - 3*s + 9.
-3*(s - 2)*(s + 6)/4
Determine a, given that a**4/2 + 37*a**3/2 + 209*a**2/2 - 697*a/2 - 435 = 0.
-29, -10, -1, 3
Let -2*x**5/5 - 22*x**4/5 - 68*x**3/5 - 28*x**2/5 + 14*x + 10 = 0. What is x?
-5, -1, 1
Suppose -2*o**5 - 4*o**4 = 0. What is o?
-2, 0
Factor -y**3/5 - 24*y**2 - 468*y/5 - 464/5.
-(y + 2)**2*(y + 116)/5
Let z**4/2 - 29*z**3/2 + 102*z**2 - 248*z + 160 = 0. What is z?
1, 4, 20
What is l in -3*l**4 + 39*l**3 - 54*l**2 - 156*l + 264 = 0?
-2, 2, 11
Factor -3*a**2/8 + 207*a/4 - 411/8.
-3*(a - 137)*(a - 1)/8
Factor -z**5/3 + 7*z**4/3 + 6*z**3 + 2*z**2/3 - 17*z/3 - 3.
-(z - 9)*(z - 1)*(z + 1)**3/3
Solve 2*x**3/3 + 37*x**2/3 - 19*x/3 = 0 for x.
-19, 0, 1/2
Factor -3*g**3 - 42*g**2 - 132*g - 120.
-3*(g + 2)**2*(g + 10)
Determine c, given that -5*c**4 - 60*c**3 + 490*c**2 + 1140*c + 595 = 0.
-17, -1, 7
What is j in 4*j**5 + 156*j**4 + 2028*j**3 + 8788*j**2 = 0?
-13, 0
Factor 5*u**2 - 60*u + 55.
5*(u - 11)*(u - 1)
Let 4*h**4/9 + 248*h**3/9 + 1280*h**2/3 - 248*h/9 - 3844/9 = 0. What is h?
-31, -1, 1
Factor -2*n**2/7 - 3534*n/7 + 3536/7.
-2*(n - 1)*(n + 1768)/7
Solve -15*l**4 - 4730*l**3 - 371300*l**2 + 249640*l = 0 for l.
-158, 0, 2/3
Solve 5*u**2 - 745*u + 740 = 0 for u.
1, 148
Determine b so that 2*b**5/9 - 110*b**4/9 + 174*b**3 - 162*b**2 = 0.
0, 1, 27
What is t in -t**4/10 + 14*t**3/5 - 13*t**2/5 - 14*t/5 + 27/10 = 0?
-1, 1, 27
Factor 12*d**3 - 316*d**2 - 912*d - 464.
4*(d - 29)*(d + 2)*(3*d + 2)
Find v such that 10*v**5 - 154*v**4/5 + 62*v**3/5 + 146*v**2/5 - 112*v/5 + 8/5 = 0.
-1, 2/25, 1, 2
Determine y, given that -2*y**4 + 8*y**3 + 22*y**2 - 132*y + 144 = 0.
-4, 2, 3
Factor 2*w**2 + 1254*w + 1252.
2*(w + 1)*(w + 626)
Solve -8*v**4/17 - 2*v**3/17 + 72*v**2/17 + 18*v/17 = 0.
-3, -1/4, 0, 3
Suppose 3*n**3 + 5247*n**2 = 0. Calculate n.
-1749, 0
Solve -6*n**5 + 92*n**4 + 648*n**3 - 1828*n**2 + 1374*n - 280 = 0.
-7, 1/3, 1, 20
Factor 3*l**3/5 + 534*l**2/5 - 12*l/5 - 2136/5.
3*(l - 2)*(l + 2)*(l + 178)/5
Factor -3*f**2/5 + 9*f/5 + 54/5.
-3*(f - 6)*(f + 3)/5
Suppose -2*b**4/11 - 2*b**3/11 + 114*b**2/11 + 290*b/11 - 400/11 = 0. Calculate b.
-5, 1, 8
Let 15*n**4 - 310*n**3 - 3985*n**2 - 6660*n + 6300 = 0. What is n?
-7, -3, 2/3, 30
Let -3*j**4 + 1179*j**3 + 21*j**2 - 8235*j - 7074 = 0. Calculate j.
-2, -1, 3, 393
Factor -3*h**5 - 66*h**4 + 18*h**3 + 372*h**2 - 519*h + 198.
-3*(h - 1)**3*(h + 3)*(h + 22)
Find w such that 4*w**2 + 40*w + 84 = 0.
-7, -3
Let 2*r**3/9 - 1206*r**2 + 2181654*r - 1315537362 = 0. Calculate r.
1809
Let 2*o**4 + 4*o**3 - 58*o**2 + 84*o = 0. Calculate o.
-7, 0, 2, 3
Let -28*c**5 + 20*c**4 + 232*c**3 - 272*c**2 - 96*c = 0. Calculate c.
-3, -2/7, 0, 2
Find m such that 10*m**2 + 28*m + 16 = 0.
-2, -4/5
Factor -5*v**5 + 2075*v**4 - 344450*v**3 + 28589350*v**2 - 1186458025*v + 19695203215.
-5*(v - 83)**5
Suppose 5*k**4/4 + 75*k**3 + 4185*k**2/4 - 4805*k/2 = 0. Calculate k.
-31, 0, 2
Determine b so that 2*b**5 - 6*b**4 - 8*b**3 + 32*b**2 - 32 = 0.
-2, -1, 2
Suppose -3*v**2/2 + 186*v + 2448 = 0. What is v?
-12, 136
Factor -20*y**3 - 212*y**2 - 112*y + 80.
-4*(y + 1)*(y + 10)*(5*y - 2)
What is g in 4*g**4 + 40*g**3 - 48*g**2 - 40*g + 44 = 0?
-11, -1, 1
Find b such that -2*b**3/3 - 14*b**2/3 + 32*b/3 + 224/3 = 0.
-7, -4, 4
Factor -d**3/9 + 53*d**2/9 + 1040*d/9 + 1472/3.
-(d - 69)*(d + 8)**2/9
Let -294*f**3 - 63*f**2/4 + 81*f - 15 = 0. What is f?
-5/8, 2/7
Suppose -2*f**2/11 - 430*f/11 + 432/11 = 0. What is f?
-216, 1
Factor 4*f**4 + 92*f**3 - 544*f**2 + 448*f.
4*f*(f - 4)*(f - 1)*(f + 28)
Determine r, given that -r**4/4 + 25*r**3 + 261*r**2/2 + 81*r - 945/4 = 0.
-3, 1, 105
Solve -f**3/4 + 3*f**2/2 + 22*f - 48 = 0.
-8, 2, 12
Find l, given that 5*l**2 + 1045*l - 7560 = 0.
-216, 7
Factor -3*v**2 - 10872*v - 9850032.
-3*(v + 1812)**2
Factor 2*q**3/3 - 26*q**2/3 - 104*q/3 + 128/3.
2*(q - 16)*(q - 1)*(q + 4)/3
Determine d, given that 3*d**2/5 - 102*d + 8208/5 = 0.
18, 152
Suppose -4*l**2 - 344*l - 7396 = 0. Calculate l.
-43
Let 3*m**2 + 159*m - 2340 = 0. What is m?
-65, 12
Factor 4*y**2 + 12*y + 8.
4*(y + 1)*(y + 2)
Find l, given that -2*l**2/3 + 6*l - 28/3 = 0.
2, 7
Let 2*x**5/13 + 6*x**4/13 - 20*x**3/13 + 4*x**2/13 + 18*x/13 - 10/13 = 0. Calculate x.
-5, -1, 1
Factor a**2/7 - 16*a - 228/7.
(a - 114)*(a + 2)/7
Factor -4*a**3 + 24*a**2.
-4*a**2*(a - 6)
What is p in -12*p**3 - 48*p**2 + 57*p - 15 = 0?
-5, 1/2
Factor -2*c**2 - 92*c - 480.
-2*(c + 6)*(c + 40)
Solve 4*c**4 + 188*c**3 + 184*c**2 = 0.
-46, -1, 0
Factor 3*x**3/7 + 213*x**2/7 + 555*x + 525.
3*(x + 1)*(x + 35)**2/7
Determine w so that -5*w**4 - 10*w**3 + 25*w**2 + 30*w = 0.
-3, -1, 0, 2
What is c in 666*c**3/11 - 674*c**2/11 + 8*c/11 = 0?
0, 4/333, 1
Factor 4*k**2/3 - 115*k + 86/3.
(k - 86)*(4*k - 1)/3
What is d in 2*d**4 + 234*d**3 + 6484*d**2 - 21120*d + 14400 = 0?
-60, 1, 2
Determine z so that -2*z**3/13 + 16*z**2/13 - 14*z/13 = 0.
0, 1, 7
Let 10*q**3/9 + 1072*q**2/3 + 28658*q - 103684/9 = 0. Calculate q.
-161, 2/5
Let -2*g**2 + 966*g - 1924 = 0. What is g?
2, 481
Factor k**2 - 378*k + 377.
(k - 377)*(k - 1)
Factor j**2/8 - 217*j/2 + 47089/2.
(j - 434)**2/8
Suppose -35*l**2 + 20*l = 0. What is l?
0, 4/7
Solve -12*w**4/7 - 52*w**3/7 - 44*w**2/7 + 20*w/7 + 24/7 = 0 for w.
-3, -1, 2/3
Factor 49*c**4/8 - 34657*c**3/4 + 24532197*c**2/8 - 3500357*c/2 + 499849/2.
(c - 707)**2*(7*c - 2)**2/8
Factor -10*d**3 + 745*d**2 + 1915*d + 770.
-5*(d - 77)*(d + 2)*(2*d + 1)
Factor -2*j**4 - 18*j**3 - 36*j**2 + 8*j + 48.
-2*(j - 1)*(j + 2)**2*(j + 6)
Factor 4*a**4/5 + 72*a**3/5 + 36*a**2.
4*a**2*(a + 3)*(a + 15)/5
Find x, given that 2*x**3 + 60*x**2 - 2*x - 60 = 0.
-30, -1, 1
What is m in 5*m**4/2 - 51*m**3 - 295*m**2/2 - 48*m + 46 = 0?
-2, -1, 2/5, 23
Let -2*g**5/19 + 28*g**4 - 35906*g**3/19 + 3696*g**2 - 34848*g/19 = 0. Calculate g.
0, 1, 132
Let -10*m**5/3 - 1172*m**4 - 463232*m**3/3 - 27073024*m**2/3 - 196263936*m + 239878144/3 = 0. Calculate m.
-88, 2/5
Factor -4*h**2/3 - 1052*h/3 + 1064.
-4*(h - 3)*(h + 266)/3
Determine b so that -10*b**2/13 - 38*b - 196/13 = 0.
-49, -2/5
Factor 6*x**2 - 34*x - 12.
2*(x - 6)*(3*x + 1)
Let -k**2/2 + 93*k/2 - 135 = 0. What is k?
3, 90
Factor v**2 + 183*v - 1134.
(v - 6)*(v + 189)
Factor -16*g**2 - 196*g - 48.
-4*(g + 12)*(4*g + 1)
Factor 2*c**2 + 22*c - 24.
2*(c - 1)*(c + 12)
Factor -2*w**2/25 + 2*w/5.
-2*w*(w - 5)/25
Factor -3*w**4 + 36*w**3 - 144*w**2 + 240*w - 144.
-3*(w - 6)*(w - 2)**3
Suppose l**5/4 + 49*l**4/4 + 575*l**3/4 - 625*l**2/4 = 0. What is l?
-25, 0, 1
Factor o**4 - 3*o**3 - 18*o**2 - 4*o + 24.
(o - 6)*(o - 1)*(o + 2)**2
Factor m**3/3 + 2*m**2 - 21*m + 36.
(m - 3)**2*(m + 12)/3
Factor -u**4/5 - u**3 - 7*u**2/5 - 3*u/5.
-u*(u + 1)**2*(u + 3)/5
Determine w, given that w**2/6 + 2*w/3 - 77/6 = 0.
-11, 7
Determine z s