3 + 240*x**2 - 299*x + 66.
-(x - 33)*(x - 1)*(7*x - 2)
Find q such that 12*q**4 + 27*q**3 - 435*q**2 + 882*q - 432 = 0.
-8, 3/4, 2, 3
Suppose -5*k**4 + 95*k**3 - 240*k**2 - 20*k + 320 = 0. Calculate k.
-1, 2, 16
Find v such that 3*v**2 + 507*v - 510 = 0.
-170, 1
What is a in -4*a**5 - 108*a**4 + 156*a**3 + 1196*a**2 - 1080*a - 2016 = 0?
-28, -3, -1, 2, 3
Solve -2*j**4/11 + 14*j**3/11 + 98*j**2/11 - 614*j/11 + 504/11 = 0.
-7, 1, 4, 9
Factor h**3/2 - 204*h**2 + 27744*h - 1257728.
(h - 136)**3/2
Determine w, given that -4*w**3 - 352*w**2 - 692*w - 344 = 0.
-86, -1
Find c, given that 2*c**2/3 - 172*c/3 + 3698/3 = 0.
43
Factor -2*d**3/7 + 2*d**2 - 22*d/7 + 10/7.
-2*(d - 5)*(d - 1)**2/7
Suppose -5*c**2/2 - 195*c/2 + 100 = 0. Calculate c.
-40, 1
Factor 3*r**3/4 + 54*r**2 + 213*r/4.
3*r*(r + 1)*(r + 71)/4
Factor 33*l**3 + 135*l**2 + 144*l + 12.
3*(l + 2)**2*(11*l + 1)
Factor -2*w**2/5 - 136*w/5 - 512/5.
-2*(w + 4)*(w + 64)/5
Suppose 4*f**3 + 40*f**2 + 132*f + 144 = 0. Calculate f.
-4, -3
Suppose -2*h**5/5 - 804*h**4/5 - 106098*h**3/5 - 874480*h**2 + 29186688*h/5 - 45278208/5 = 0. Calculate h.
-136, 3
Let -12*m**4 + 388*m**3 - 3192*m**2 + 768*m + 2048 = 0. Calculate m.
-2/3, 1, 16
Factor -3*r**2 - 654*r - 35643.
-3*(r + 109)**2
Determine v so that 3*v**4 + 42*v**3 + 129*v**2 + 90*v = 0.
-10, -3, -1, 0
Factor -5*g**2 + 210*g - 2205.
-5*(g - 21)**2
What is x in 3*x**3/7 - 33*x**2/7 - 228*x/7 - 192/7 = 0?
-4, -1, 16
Solve 2*m**5/9 - 2*m**4/9 - 4*m**3/9 + 4*m**2/9 + 2*m/9 - 2/9 = 0.
-1, 1
Solve 85*y**2/3 - 435*y + 150 = 0.
6/17, 15
Suppose -2*j**4/3 + 26*j**3/3 + 62*j**2/3 - 26*j/3 - 20 = 0. What is j?
-2, -1, 1, 15
Factor -j**2 + 7*j + 18.
-(j - 9)*(j + 2)
Find o, given that -4*o**2 + 9440*o = 0.
0, 2360
Let 3*n**3 - 6*n**2 = 0. Calculate n.
0, 2
Solve -16*l**3/5 - 292*l**2/5 + 232*l/5 + 76/5 = 0.
-19, -1/4, 1
Suppose -4*a**3 - 12*a**2 + 64*a - 48 = 0. What is a?
-6, 1, 2
Solve -4*u**5 + 84*u**4 - 548*u**3 + 1180*u**2 - 1032*u + 320 = 0.
1, 8, 10
Factor a**3/7 - 9*a**2/7 - a/7 + 9/7.
(a - 9)*(a - 1)*(a + 1)/7
Factor -2*n**5/3 + 6*n**4 - 8*n**3 - 160*n**2/3 + 128*n.
-2*n*(n - 4)**3*(n + 3)/3
Factor -24*z**3 - 12*z**2 + 30*z - 9.
-3*(2*z - 1)**2*(2*z + 3)
Factor -3*z**5 + 24*z**4 - 75*z**3 + 114*z**2 - 84*z + 24.
-3*(z - 2)**3*(z - 1)**2
Factor -f**3/7 + 6*f**2/7 + 37*f/7 - 90/7.
-(f - 9)*(f - 2)*(f + 5)/7
Factor 4*m**3/9 + 40*m**2/9 + 124*m/9 + 40/3.
4*(m + 2)*(m + 3)*(m + 5)/9
Factor -4*n**4 - 112*n**3 - 1152*n**2 - 5120*n - 8192.
-4*(n + 4)*(n + 8)**3
Suppose -t**5/2 - 13*t**4/2 - 18*t**3 = 0. Calculate t.
-9, -4, 0
Solve -6*f**5/7 + 6*f**4/7 + 150*f**3/7 - 150*f**2/7 = 0.
-5, 0, 1, 5
Factor 2*k**2/19 + 44*k/19 + 170/19.
2*(k + 5)*(k + 17)/19
Solve 2*u**3/9 - 106*u**2/9 + 320*u/3 + 1400 = 0 for u.
-7, 30
Suppose -a**4/3 - 21*a**3 + 415*a**2/3 + 21*a - 138 = 0. What is a?
-69, -1, 1, 6
Factor -273*k**2/5 - 1098*k/5 - 24/5.
-3*(k + 4)*(91*k + 2)/5
Factor -128*h**2/5 + 144*h/5 - 28/5.
-4*(4*h - 1)*(8*h - 7)/5
Suppose -405*q**4 + 23310*q**3 + 10420*q**2 + 1160*q = 0. Calculate q.
-2/9, 0, 58
Suppose 5*t**3 - 220*t**2 - 2000*t - 4160 = 0. What is t?
-4, 52
Determine y so that 25*y**3/2 + 235*y**2/2 + 145*y + 40 = 0.
-8, -1, -2/5
Determine g so that g**5 - 98*g**4 + 2401*g**3 = 0.
0, 49
Factor -3*r**4/2 + 9*r**3 - 12*r**2.
-3*r**2*(r - 4)*(r - 2)/2
Factor -3*c**4 + 90*c**3 - 579*c**2 - 1440*c - 768.
-3*(c - 16)**2*(c + 1)**2
Find o such that 5*o**4 + 87*o**3 + 254*o**2 + 228*o + 56 = 0.
-14, -2, -1, -2/5
What is y in 10*y**2 + 329*y - 33 = 0?
-33, 1/10
Factor -f**5 + 13*f**4 - 32*f**3 + 20*f**2.
-f**2*(f - 10)*(f - 2)*(f - 1)
Solve -2*c**2/3 + 20*c/3 - 6 = 0.
1, 9
Factor -5*v**2 + 90*v - 405.
-5*(v - 9)**2
Determine v, given that 15*v**4 + 265*v**3 - 465*v**2 - 1585*v + 570 = 0.
-19, -2, 1/3, 3
What is p in 2*p**4/3 - 5*p**3/3 - p**2 = 0?
-1/2, 0, 3
Let 2*r**3/7 - 4*r**2/7 - 22*r/7 + 24/7 = 0. Calculate r.
-3, 1, 4
Solve -43681*q**3/5 + 86526*q**2/5 + 1668*q/5 + 8/5 = 0.
-2/209, 2
Find n, given that -4*n**5 - 768*n**4 + 2340*n**3 - 16*n**2 - 3120*n = 0.
-195, -1, 0, 2
Find k, given that k**2 - 270*k + 18225 = 0.
135
Determine y so that -3*y**5/7 + 81*y**4/7 - 657*y**3/7 + 1515*y**2/7 - 1368*y/7 + 432/7 = 0.
1, 12
Determine g, given that -3*g**3 + 2967*g**2 - 732105*g - 735075 = 0.
-1, 495
Let 2*s**4 + 140*s**3 + 2448*s**2 - 140*s - 2450 = 0. What is s?
-35, -1, 1
Factor 4*v**4/3 - 112*v**3/3 + 308*v**2/3 - 200*v/3.
4*v*(v - 25)*(v - 2)*(v - 1)/3
Factor -l**4/3 + 10*l**3/3 - 16*l**2/3.
-l**2*(l - 8)*(l - 2)/3
Factor l**2/4 + 203*l/2 + 41209/4.
(l + 203)**2/4
Factor -b**2/5 + 176*b/5 - 7744/5.
-(b - 88)**2/5
Factor 2*t**2/17 - 1174*t/17 + 1172/17.
2*(t - 586)*(t - 1)/17
Solve h**3/4 + 9*h**2/4 + 15*h/4 - 25/4 = 0 for h.
-5, 1
Factor 637*p**4/5 + 2*p**3/5.
p**3*(637*p + 2)/5
Find h, given that 4*h**5 - 28*h**3 + 24*h**2 = 0.
-3, 0, 1, 2
Factor i**4/7 - 5*i**3/7 + 2*i**2/7 + 8*i/7.
i*(i - 4)*(i - 2)*(i + 1)/7
What is z in z**5 + 66*z**4 + 311*z**3 + 362*z**2 - 252*z - 488 = 0?
-61, -2, 1
Factor -2*h**2/9 + 620*h/3 - 3712/9.
-2*(h - 928)*(h - 2)/9
Determine d, given that 4*d**4/3 + 89*d**3/3 + 62*d**2 + 121*d/3 + 20/3 = 0.
-20, -1, -1/4
Determine c so that -2*c**4/11 - 16*c**3/11 + 6*c**2/11 + 52*c/11 + 32/11 = 0.
-8, -1, 2
Let 4*y**3 - 9484*y**2 + 18956*y - 9476 = 0. What is y?
1, 2369
Factor 25*y**4 + 115*y**3 - 3200*y**2 + 1260*y.
5*y*(y - 9)*(y + 14)*(5*y - 2)
Factor -f**3 - 212*f**2 - 11236*f.
-f*(f + 106)**2
Determine m so that -m**5/3 - 6*m**4 - 98*m**3/3 - 60*m**2 + 9*m + 90 = 0.
-10, -3, 1
Factor 5*t**3 - 1175*t**2 + 67235*t + 212415.
5*(t - 119)**2*(t + 3)
Factor -5*t**4 + 5*t**3 + 170*t**2 - 320*t - 480.
-5*(t - 4)**2*(t + 1)*(t + 6)
Let 2*x**3/5 - 86*x**2/5 + 468*x/5 + 1296/5 = 0. Calculate x.
-2, 9, 36
Suppose -6*r**5 - 626*r**4/3 - 6196*r**3/3 - 12416*r**2/3 + 1024*r = 0. What is r?
-16, -3, 0, 2/9
Solve -3*g**4/5 - 7*g**3/5 + 58*g**2/5 - 52*g/5 - 24/5 = 0.
-6, -1/3, 2
Solve 2*i**3 - 40*i**2 + 146*i + 468 = 0.
-2, 9, 13
Factor 5*f**2 + 125*f + 230.
5*(f + 2)*(f + 23)
Suppose -h**5 + 1461*h**4 - 532899*h**3 - 534361*h**2 = 0. Calculate h.
-1, 0, 731
Factor 3*x**4 + 96*x**3 - 915*x**2 + 1800*x.
3*x*(x - 5)*(x - 3)*(x + 40)
Suppose 4*h**4 - 36*h**3 + 60*h**2 - 28*h = 0. Calculate h.
0, 1, 7
Factor 3*l**4 + 19*l**3 + 6*l**2 - 96*l - 32.
(l - 2)*(l + 4)**2*(3*l + 1)
Factor -405*c**3 + 495*c**2 - 95*c + 5.
-5*(c - 1)*(9*c - 1)**2
What is h in 3*h**3/8 + 427*h**2/8 - 143*h/4 = 0?
-143, 0, 2/3
Factor 2*p**2 - 218*p - 444.
2*(p - 111)*(p + 2)
What is s in -4*s**2 + 1688*s = 0?
0, 422
Solve k**3/5 + k**2/5 - 341*k/5 - 2541/5 = 0 for k.
-11, 21
Find o, given that -2*o**5 - 22*o**4 - 80*o**3 - 88*o**2 + 64*o + 128 = 0.
-4, -2, 1
Suppose -q**4 - 23*q**3 - 189*q**2 - 637*q - 686 = 0. Calculate q.
-7, -2
Determine m, given that 18*m**4 - 123*m**3/2 - 105*m**2/2 + 39*m + 12 = 0.
-1, -1/4, 2/3, 4
Factor 5*b**3 - 10*b**2 - 40*b.
5*b*(b - 4)*(b + 2)
Let b**2 - 85*b - 86 = 0. What is b?
-1, 86
Let 3*o**3/7 + 207*o**2/7 - 423*o/7 + 213/7 = 0. Calculate o.
-71, 1
Factor -c**4/4 + 41*c**3/4 - 57*c**2/2 - c + 38.
-(c - 38)*(c - 2)**2*(c + 1)/4
Let l**4/5 + 39*l**3/5 + 182*l**2/5 - 528*l/5 = 0. What is l?
-33, -8, 0, 2
Let 28*c**5/5 + 48*c**4/5 - 128*c**3/5 - 192*c**2/5 + 64*c/5 = 0. Calculate c.
-2, 0, 2/7, 2
Determine k, given that -5*k**5 + 45*k**4 + 260*k**3 = 0.
-4, 0, 13
Solve -5*m**5/2 - 9*m**4/2 + 31*m**3 - 41*m**2 + 39*m/2 - 5/2 = 0.
-5, 1/5, 1
Determine a so that -2*a**4/7 + 60*a**3/7 - 554*a**2/7 + 1560*a/7 - 1352/7 = 0.
2, 13
Factor 2*a**3/9 + 2*a**2/9 - 40*a/9.
2*a*(a - 4)*(a + 5)/9
Suppose 5*k**2 + 3162*k + 1264 = 0. What is k?
-632, -2/5
Factor -4*m**4 + 372*m**3 - 11532*m**2 + 119164*m.
-4*m*(m - 31)**3
Let 2*q**5 + 3*q**4 - 63*q**3/8 + 13*q**2/4 - 3*q/8 = 0. Calculate q.
-3, 0, 1/4, 1
Find u, given that -48*u**5 - 72*u**4 + 453*u**3 - 147*u**2 - 162*u - 24 = 0.
-4, -1/4, 1, 2
Factor -4*p**2 - 1224*p - 93636.
-4*(p + 153)**2
Factor -2*c**2/13 + 392*c/13 - 19208/13.
-2*(c - 98)**2/13
Factor -5*z**5 + 345*z**4 + 1065*z**3 + 1075*z**2 + 360*z.
-5*z*(z - 72)*(z + 1)**3
Find v such that 2*v**3/13 + 2*v**2/13 - 4*v/13 = 0.
-2, 0, 1
Let r**5/10 - 49*r**4/5 + 1584*r**3/5 - 3267*r**2 - 35937*r/10 = 0. What is r?
-1, 0, 33
Determine h, given that 2*h**3/15 - 12*h**