0.
-42
Let 2*a**5/7 + 32*a**4/7 + 8*a**3 - 4*a**2/7 - 58*a/7 - 4 = 0. Calculate a.
-14, -1, 1
What is r in -2*r**3/3 + 358*r**2/3 = 0?
0, 179
Determine w, given that -7*w**5 - 319*w**4 + 1146*w**3 - 1454*w**2 + 781*w - 147 = 0.
-49, 3/7, 1
Find x, given that 3*x**2/2 - 3*x - 9/2 = 0.
-1, 3
Factor -8*g**4/3 - 626*g**3/3 - 52*g**2.
-2*g**2*(g + 78)*(4*g + 1)/3
Factor 4*p**5 + 16*p**4 - 104*p**3 + 176*p**2 - 124*p + 32.
4*(p - 1)**4*(p + 8)
Factor 2*l**3/3 - 10*l**2/3 + 14*l/3 - 2.
2*(l - 3)*(l - 1)**2/3
Suppose -5*z**3/4 + 155*z**2/4 - 275*z/4 - 435/4 = 0. Calculate z.
-1, 3, 29
Factor 5*j**5 - 555*j**4 - 560*j**3.
5*j**3*(j - 112)*(j + 1)
Suppose -42*l**3 + 1761*l**2 - 18396*l - 1323 = 0. Calculate l.
-1/14, 21
Factor 5*c**2 - 7445*c + 7440.
5*(c - 1488)*(c - 1)
Factor -4*y**2 - 144*y - 720.
-4*(y + 6)*(y + 30)
Factor -19*a**3/3 + 50*a**2 - 96*a - 32/3.
-(a - 4)**2*(19*a + 2)/3
Suppose -4*g**3 + 280*g**2 + 572*g + 288 = 0. Calculate g.
-1, 72
Suppose -5*o**2/2 - 35*o/2 = 0. What is o?
-7, 0
Let -2*l**5 + 14*l**4 + 90*l**3 - 14*l**2 - 88*l = 0. What is l?
-4, -1, 0, 1, 11
Determine w so that w**4/2 + 79*w**3/4 + 259*w**2/4 + 127*w/2 + 18 = 0.
-36, -2, -1, -1/2
Factor y**2/9 + 41*y/9 - 78.
(y - 13)*(y + 54)/9
Solve x**4 + 8*x**3 + 15*x**2 - 8*x - 16 = 0.
-4, -1, 1
Let 12*o**4 + 340*o**3 + 2108*o**2 - 4260*o + 1800 = 0. Calculate o.
-15, 2/3, 1
Factor o**4/4 - 7*o**3/4 - 7*o**2 - 5*o.
o*(o - 10)*(o + 1)*(o + 2)/4
Factor 2*r**3 - 3098*r**2 - 6202*r - 3102.
2*(r - 1551)*(r + 1)**2
Solve 4*z**5/7 - 88*z**4/7 + 212*z**3/7 + 304*z**2/7 = 0 for z.
-1, 0, 4, 19
Factor -3*y**3/2 - 7686*y**2 - 13127688*y - 7474030368.
-3*(y + 1708)**3/2
Let -2*i**2/13 + 40*i/13 + 24 = 0. Calculate i.
-6, 26
Let r**3/6 - 671*r**2/6 - 1345*r/6 - 673/6 = 0. What is r?
-1, 673
What is o in -5*o**5/3 + 410*o**4 - 3955*o**3 + 15040*o**2/3 + 23540*o + 14160 = 0?
-1, 6, 236
Find o, given that -980*o**5 + 5215*o**4 - 5435*o**3 + 940*o**2 + 340*o - 80 = 0.
-1/4, 2/7, 1, 4
Factor 5*t**4 - 37*t**3 + 94*t**2 - 92*t + 24.
(t - 3)*(t - 2)**2*(5*t - 2)
Factor n**3/7 - 30*n**2/7 - 64*n/7.
n*(n - 32)*(n + 2)/7
Determine r, given that r**4 + 8*r**3 + 21*r**2 + 22*r + 8 = 0.
-4, -2, -1
Factor -5*i**3/2 + 55*i**2 - 605*i/2.
-5*i*(i - 11)**2/2
Factor -2*x**2/9 + 388*x/9 + 130/3.
-2*(x - 195)*(x + 1)/9
Suppose -h**5/5 + 13*h**4/5 - 11*h**3/5 - 13*h**2/5 + 12*h/5 = 0. What is h?
-1, 0, 1, 12
What is z in 4*z**3 + 396*z**2 + 9600*z - 10000 = 0?
-50, 1
Factor 4*v**2 - 7720*v + 3724900.
4*(v - 965)**2
Find u, given that 3*u**2/5 - 708*u/5 + 41772/5 = 0.
118
Determine h so that 4*h**3 + 4*h**2 - 4*h - 4 = 0.
-1, 1
Factor -2*a**2/9 + 14*a/9 - 20/9.
-2*(a - 5)*(a - 2)/9
What is d in 5*d**3 + 110*d**2 - 20*d - 440 = 0?
-22, -2, 2
Let p**2 - 5*p + 4 = 0. What is p?
1, 4
Find z such that 2*z**2 + 2530*z - 2532 = 0.
-1266, 1
Find x, given that -x**3 - 105*x**2 - 3000*x - 12500 = 0.
-50, -5
Factor -12*k**4 + 4*k**3 + 8*k**2.
-4*k**2*(k - 1)*(3*k + 2)
Factor -10*i**2 + 136*i - 126.
-2*(i - 1)*(5*i - 63)
Determine b so that -4*b**3 + 2164*b**2 - 291596*b - 293764 = 0.
-1, 271
Factor -3*j**2 - 747*j + 750.
-3*(j - 1)*(j + 250)
Factor l**5/3 + 28*l**4/3 + 44*l**3 - 896*l**2/3 + 1024*l/3.
l*(l - 2)**2*(l + 16)**2/3
Factor 3*q**3 - 75*q**2 - 432*q - 540.
3*(q - 30)*(q + 2)*(q + 3)
What is q in q**3/4 - 13*q/4 - 3 = 0?
-3, -1, 4
Factor 3*w**4/4 - 3*w**3/2 - 3*w**2 + 3*w/2 + 9/4.
3*(w - 3)*(w - 1)*(w + 1)**2/4
Factor 3*a**3 + 99*a**2 + 438*a + 504.
3*(a + 2)*(a + 3)*(a + 28)
Factor -14*o**3/3 + 386*o**2/3 - 124*o.
-2*o*(o - 1)*(7*o - 186)/3
Let -v**5 - v**4 + 30*v**3 - 20*v**2 - 104*v + 96 = 0. Calculate v.
-6, -2, 1, 2, 4
Determine z so that -2*z**4/7 - 26*z**3/7 - 74*z**2/7 - 6*z/7 + 108/7 = 0.
-9, -3, -2, 1
What is s in 3*s**3 + 108*s**2 - 468*s + 480 = 0?
-40, 2
Let 3*w**5/5 - 6*w**4 + 6*w**3/5 + 192*w**2/5 - 9*w/5 - 162/5 = 0. Calculate w.
-2, -1, 1, 3, 9
What is b in -2*b**4/5 + 2*b**3 + 24*b**2/5 - 72*b/5 = 0?
-3, 0, 2, 6
Find o, given that o**3/3 + 5*o**2 + 16*o + 44/3 = 0.
-11, -2
Determine v so that -16*v**4 - 7332*v**3 + 5512*v**2 + 1836*v = 0.
-459, -1/4, 0, 1
Factor b**5/2 + 13*b**4 + 213*b**3/2 + 286*b**2 + 242*b.
b*(b + 2)**2*(b + 11)**2/2
Factor -2*m**5/11 + 14*m**4/11 - 38*m**3/11 + 50*m**2/11 - 32*m/11 + 8/11.
-2*(m - 2)**2*(m - 1)**3/11
Suppose -5*m**4/4 - 885*m**3/2 - 50820*m**2 - 3440635*m/2 + 79720245/4 = 0. Calculate m.
-121, 9
Let h**3/2 - 19*h**2/2 + 35*h/2 - 17/2 = 0. Calculate h.
1, 17
Factor 3*s**3/4 + 107*s**2 + 283*s/4 - 71/2.
(s + 1)*(s + 142)*(3*s - 1)/4
Suppose -c**5/4 + 24*c**4 + 199*c**3/2 + 51*c**2 - 397*c/4 - 75 = 0. Calculate c.
-3, -1, 1, 100
Factor -5*i**3 - 19*i**2 - 12*i.
-i*(i + 3)*(5*i + 4)
Solve -m**2/3 + 4*m/3 + 32/3 = 0.
-4, 8
Let -1225*k**5/3 + 1330*k**4 - 1083*k**3 = 0. What is k?
0, 57/35
Find h such that -10*h**5/13 - 64*h**4/13 - 64*h**3/13 + 44*h**2/13 + 74*h/13 + 20/13 = 0.
-5, -1, -2/5, 1
Factor -2*b**5/3 + 44*b**4/3 + 104*b**3 + 656*b**2/3 + 448*b/3.
-2*b*(b - 28)*(b + 2)**3/3
Factor p**3/6 + 181*p**2/6 + 529*p/3 + 700/3.
(p + 2)*(p + 4)*(p + 175)/6
Solve -k**2/3 - 22*k/3 - 7 = 0.
-21, -1
Factor -b**4 + 17*b**3 - 31*b**2 + 15*b.
-b*(b - 15)*(b - 1)**2
Solve -2*i**5 + 46*i**4 - 300*i**3 + 704*i**2 - 448*i = 0 for i.
0, 1, 4, 14
Solve -10*j**2/3 + 88*j/9 + 2/3 = 0 for j.
-1/15, 3
Factor j**2/5 + 21*j/5 - 108.
(j - 15)*(j + 36)/5
Determine u so that -2*u**2/3 + 112*u/3 - 1568/3 = 0.
28
What is v in 4*v**4 - 44*v**3 + 132*v**2 - 148*v + 56 = 0?
1, 2, 7
Find j such that -5*j**3 + 195*j**2 - 180*j - 380 = 0.
-1, 2, 38
Find a such that 98*a**3 + 378*a**2 + 88*a - 192 = 0.
-24/7, -1, 4/7
Suppose -2*f**3 + 282*f**2 - 9504*f - 31104 = 0. What is f?
-3, 72
Factor 1780*u**2 - 5348*u + 24.
4*(u - 3)*(445*u - 2)
What is k in -2*k**5/11 - 42*k**4/11 - 240*k**3/11 + 128*k**2/11 + 3072*k/11 = 0?
-8, 0, 3
Factor 2*t**3 + 32*t**2 + 86*t - 120.
2*(t - 1)*(t + 5)*(t + 12)
Find o, given that -3*o**3/7 + 66*o**2/7 - 45*o + 432/7 = 0.
3, 16
Determine t, given that -3*t**3/5 - 1011*t**2/5 + 3054*t/5 - 408 = 0.
-340, 1, 2
Solve 28*r**2 + 1912*r + 544 = 0 for r.
-68, -2/7
Determine s so that -2*s**2 - 100*s + 432 = 0.
-54, 4
Factor -2*k**3 + 16*k**2 + 88*k + 96.
-2*(k - 12)*(k + 2)**2
Determine c so that -145800*c**2 + 1080*c - 2 = 0.
1/270
Find p such that -p**2 - 74*p - 1369 = 0.
-37
Find l such that 2*l**2/11 - 144*l/11 + 2592/11 = 0.
36
Factor l**5/3 - 38*l**4 + 3361*l**3/3 - 2128*l**2 + 3136*l/3.
l*(l - 56)**2*(l - 1)**2/3
Suppose 2*f**3/7 - 88*f**2/7 + 1258*f/7 - 5780/7 = 0. Calculate f.
10, 17
Factor -3*k**2 - 80*k + 27.
-(k + 27)*(3*k - 1)
Suppose 64*j**4 - 3472*j**3 - 2628*j**2 - 659*j - 55 = 0. What is j?
-1/4, 55
Suppose -3*k**2/2 - 21*k/2 + 45 = 0. What is k?
-10, 3
Factor r**2/2 + 113*r/2 - 57.
(r - 1)*(r + 114)/2
Factor -2*h**2/5 - 2824*h/5 - 996872/5.
-2*(h + 706)**2/5
Solve -c**3/8 - 55*c**2/8 - 104*c - 507/2 = 0.
-26, -3
Find v such that -4*v**5/5 - 152*v**4/5 - 288*v**3/5 + 8*v**2/5 + 292*v/5 + 144/5 = 0.
-36, -1, 1
Factor 5*v**4/2 + 9*v**3 + 17*v**2/2 - 2.
(v + 1)**2*(v + 2)*(5*v - 2)/2
Factor 3*g**2/4 + 351*g/4 + 729.
3*(g + 9)*(g + 108)/4
Factor -4*t**3 + 12*t**2 + 352*t + 960.
-4*(t - 12)*(t + 4)*(t + 5)
Factor 3*g**3 + 30*g**2 + 87*g + 60.
3*(g + 1)*(g + 4)*(g + 5)
Suppose 30*l**2 + 575*l + 95 = 0. What is l?
-19, -1/6
Factor 2*i**2 - 984*i + 121032.
2*(i - 246)**2
What is c in -c**5/3 + 10*c**4/3 - 32*c**3/3 + 26*c**2/3 + 11*c - 12 = 0?
-1, 1, 3, 4
Let -4*y**5 + 76*y**4 - 132*y**3 - 76*y**2 + 136*y = 0. What is y?
-1, 0, 1, 2, 17
Factor -4*b**3 + 260*b**2 - 4092*b - 4356.
-4*(b - 33)**2*(b + 1)
Determine x, given that 8*x**5 + 36*x**4 + 97*x**3/2 + 18*x**2 + 2*x = 0.
-2, -1/4, 0
Let -7*i**4/4 + 99*i**3/2 + 1071*i**2/4 + 301*i/2 - 66 = 0. Calculate i.
-4, -1, 2/7, 33
Let a**5/4 - 3*a**4 + 11*a**3 - 35*a**2/2 + 51*a/4 - 7/2 = 0. What is a?
1, 2, 7
Determine m, given that -4*m**5 - 20*m**4 - 36*m**3 - 28*m**2 - 8*m = 0.
-2, -1, 0
Factor p**3/3 + 182*p**2/3 - 368*p/3.
p*(p - 2)*(p + 184)/3
Suppose -4*j**4 - 20*j**3 - 24*j**2 = 0. Calculate j.
-3, -2, 0
Find z such that 2*z**4/13 + 440*z**3/13 + 24198*z**2/13 - 440*z/13 - 24200/13 = 0.
-110, -1, 1
Let 3*a**2/8 + 2697*a/4 + 2424603/8 = 0. Calculate a.
-899
Factor -3*m**3/4 + 30*m**2 - 1311*m/4 + 1083/2.
-3*(m - 19