 - 1)
Suppose -2*m**5/13 + 46*m**4/13 + 106*m**3/13 - 142*m**2/13 - 16*m + 200/13 = 0. Calculate m.
-2, 1, 25
Let -i**3 + 5448*i**2 - 9893568*i + 5988906496 = 0. Calculate i.
1816
Determine b so that -30*b**5/13 + 968*b**4/13 + 10352*b**3/13 + 15804*b**2/13 + 7598*b/13 + 1148/13 = 0.
-7, -1, -2/5, -1/3, 41
Factor -2*u**2 + 126*u.
-2*u*(u - 63)
Find i, given that 4*i**2/3 - 416*i/3 + 10816/3 = 0.
52
Factor 3*c**3 - 105*c**2 - 711*c - 1107.
3*(c - 41)*(c + 3)**2
Factor 3*t**3/5 - 6*t**2/5.
3*t**2*(t - 2)/5
Solve 4*t**4 + 460*t**3 + 17316*t**2 + 200772*t - 474552 = 0 for t.
-39, 2
Factor 4*o**2/5 + 96*o/5 - 324/5.
4*(o - 3)*(o + 27)/5
Factor 10*m**3 + 135*m**2 - 1270*m + 600.
5*(m - 6)*(m + 20)*(2*m - 1)
Determine t so that -2*t**4 + 72*t**3/5 - 96*t**2/5 - 128*t/5 = 0.
-4/5, 0, 4
Determine m so that -2*m**3 + 40*m**2 - 72*m = 0.
0, 2, 18
Factor 4*z**4/7 - 4*z**3/7 - 160*z**2/7 + 64*z.
4*z*(z - 4)**2*(z + 7)/7
Determine z, given that z**2/5 - 2232*z/5 + 1245456/5 = 0.
1116
Factor 3*v**3/5 + 107*v**2/5 - 36*v/5.
v*(v + 36)*(3*v - 1)/5
Factor -2*a**3 + 28*a**2.
-2*a**2*(a - 14)
Suppose -80*m**4 + 6120*m**3 - 112365*m**2 - 179010*m - 68445 = 0. What is m?
-3/4, 39
Determine z so that -z**2/6 + 7*z = 0.
0, 42
Let -35*m**5/6 + 110*m**4/3 + 110*m**3/3 - 145*m**2/3 - 185*m/6 + 35/3 = 0. What is m?
-1, 2/7, 1, 7
What is v in -5*v**4 - 185*v**3 + 5*v**2 + 185*v = 0?
-37, -1, 0, 1
Suppose -19*p**2 + 188*p + 20 = 0. Calculate p.
-2/19, 10
Let -40*s**5 - 95*s**4 + 10*s**3 + 95*s**2 + 30*s = 0. Calculate s.
-2, -1, -3/8, 0, 1
Factor -3*s**2 + 219*s - 2970.
-3*(s - 55)*(s - 18)
Suppose -64*n**4 - 304*n**3 + 119*n**2 + 204*n + 45 = 0. What is n?
-5, -3/8, 1
Factor -j**3/3 + j**2/3 + 11*j + 21.
-(j - 7)*(j + 3)**2/3
Suppose 3*v**2/5 - 21*v + 372/5 = 0. What is v?
4, 31
Factor -c**4/5 + 228*c**3 - 97470*c**2 + 18519300*c - 1319500125.
-(c - 285)**4/5
Suppose 5*m**3/3 + 70*m**2/3 + 65*m/3 = 0. Calculate m.
-13, -1, 0
Let -30*d**4 - 515*d**3 - 545*d**2 + 240*d = 0. What is d?
-16, -3/2, 0, 1/3
Factor -2*a**4/13 + 28*a**3/13 - 144*a**2/13 + 320*a/13 - 256/13.
-2*(a - 4)**3*(a - 2)/13
Let -q**3/8 + 3*q**2/8 + 9*q/8 - 27/8 = 0. Calculate q.
-3, 3
Let -10*r**4/7 - 4*r**3/7 + 40*r**2/7 + 16*r/7 = 0. What is r?
-2, -2/5, 0, 2
Factor -12*s**4 - 44*s**3 - 20*s**2 + 12*s.
-4*s*(s + 1)*(s + 3)*(3*s - 1)
Find k such that 9*k**5 + 237*k**4 - 183*k**3 - 573*k**2 - 162*k = 0.
-27, -1, -1/3, 0, 2
Solve -105*u**5/4 - 1893*u**4 + 21312*u**3 + 2676*u**2 - 2460*u = 0.
-82, -2/5, 0, 2/7, 10
Find v such that -v**3/4 + v**2 - v = 0.
0, 2
Find j such that 5*j**3 - 1410*j**2 + 100800*j - 196000 = 0.
2, 140
What is l in -4*l**2/3 + 1028*l/3 = 0?
0, 257
Factor -k**2/5 + 33*k/5.
-k*(k - 33)/5
Factor -3*s**3/4 + 111*s**2/4 - 210*s - 900.
-3*(s - 20)**2*(s + 3)/4
Solve -3*b**3 + 345*b**2 = 0 for b.
0, 115
Determine v, given that -v**2/3 + 100/3 = 0.
-10, 10
Factor -q**3/3 - 9*q**2 - 56*q + 196/3.
-(q - 1)*(q + 14)**2/3
Factor 272*y**3/11 + 6*y**2/11.
2*y**2*(136*y + 3)/11
Factor -b**2/6 - 5*b + 992/3.
-(b - 32)*(b + 62)/6
Let r**5/2 + 3*r**4 + 3*r**3/2 - 13*r**2 - 12*r = 0. Calculate r.
-4, -3, -1, 0, 2
Factor -k**4/9 + 32*k**3/9 - 256*k**2/9.
-k**2*(k - 16)**2/9
Determine r, given that 2*r**5/21 - 68*r**4/21 - 4*r**3 + 488*r**2/21 + 82*r/21 - 20 = 0.
-3, -1, 1, 2, 35
Factor 12*s**4 - 584*s**3 + 7296*s**2 - 4608*s.
4*s*(s - 24)**2*(3*s - 2)
Factor p**4/2 + 17*p**3/8 - 10*p**2 - 21*p/8.
p*(p - 3)*(p + 7)*(4*p + 1)/8
Find b such that -3*b**3 + 13068*b**2 - 18974736*b + 9183772224 = 0.
1452
Factor 3*c**3 + 399*c**2 + 13065*c - 13467.
3*(c - 1)*(c + 67)**2
Factor -a**2/6 + 694*a - 722454.
-(a - 2082)**2/6
Factor 4*p**3 - 264*p**2 + 512*p.
4*p*(p - 64)*(p - 2)
Let w**5 + 21*w**4 - 293*w**3 + 519*w**2 - 248*w = 0. Calculate w.
-31, 0, 1, 8
Suppose c**4/5 - 3*c**3/5 - 4*c**2/5 = 0. Calculate c.
-1, 0, 4
Suppose 5*u**5 - 22*u**4 + 33*u**3 - 20*u**2 + 4*u = 0. What is u?
0, 2/5, 1, 2
Factor 4*h**5/3 + 254*h**4/3 + 3968*h**3/3 - 2048*h**2/3.
2*h**2*(h + 32)**2*(2*h - 1)/3
Let -204*x**5 + 1144*x**4 - 1428*x**3 + 456*x**2 + 32*x = 0. What is x?
-1/17, 0, 2/3, 1, 4
What is i in -3*i**3/7 + 927*i**2/7 - 95481*i/7 + 3278181/7 = 0?
103
Factor 4*y**4/5 - 16*y**3/5 + 64*y/5 - 64/5.
4*(y - 2)**3*(y + 2)/5
Determine c so that 15*c**4 - 3010*c**3 - 1005*c**2 = 0.
-1/3, 0, 201
Factor -44*u**2/7 - 10*u + 36/7.
-2*(u + 2)*(22*u - 9)/7
What is x in -2*x**3 - 8*x**2 - 6*x = 0?
-3, -1, 0
Let -s**4 - 207*s**3 + 208*s**2 = 0. What is s?
-208, 0, 1
Let 2*c**2 - 28*c + 26 = 0. What is c?
1, 13
Solve 3*s**5/2 + 3*s**4 - 42*s**3 + 69*s**2 - 63*s/2 = 0.
-7, 0, 1, 3
Determine t, given that -2*t**5/13 - 10*t**4/13 + 114*t**3/13 - 206*t**2/13 - 64*t/13 + 264/13 = 0.
-11, -1, 2, 3
Find n such that 2*n**2/3 - 8*n + 24 = 0.
6
Find v such that 3*v**4/2 + 15*v**3 + 21*v**2/2 - 27*v = 0.
-9, -2, 0, 1
Suppose -3*d**2 + 324*d - 945 = 0. Calculate d.
3, 105
Determine z, given that 5*z**2 - 20*z + 20 = 0.
2
Factor 2*n**3/23 - 22*n**2/23 - 8*n/23 + 88/23.
2*(n - 11)*(n - 2)*(n + 2)/23
Factor h**4 - h**3 - 6*h**2 + 4*h + 8.
(h - 2)**2*(h + 1)*(h + 2)
Factor 3*q**3 - 4*q**2 + q.
q*(q - 1)*(3*q - 1)
Factor 2*q**3/5 + 6*q**2/5 + 4*q/5.
2*q*(q + 1)*(q + 2)/5
Let 3*n**4/8 - 3*n**3/2 = 0. Calculate n.
0, 4
Factor 5*b**3/2 + 13*b**2/2 - 178*b + 70.
(b - 7)*(b + 10)*(5*b - 2)/2
Factor -2*p**3 + 2*p**2 + 12*p.
-2*p*(p - 3)*(p + 2)
Solve 49*m**5 + 4711*m**4 + 632*m**3 - 3856*m**2 - 1536*m = 0.
-96, -4/7, 0, 1
Determine c, given that 5*c**4 - 675*c**3 + 2645*c**2 - 3285*c + 1310 = 0.
1, 2, 131
Let 3*r**4 + 168*r**3 + 2637*r**2 + 7332*r - 10140 = 0. What is r?
-26, -5, 1
Solve 3*c**2/2 + 102*c + 201/2 = 0 for c.
-67, -1
Determine n so that -2*n**2 - 1060*n - 140450 = 0.
-265
Solve 4*q**5/5 - 4*q**4/5 - 68*q**3/5 + 84*q**2/5 + 144*q/5 = 0.
-4, -1, 0, 3
Factor k**4/10 + 69*k**3/10 + 39*k**2 + 382*k/5 + 252/5.
(k + 2)**3*(k + 63)/10
Factor -o**2 - 40*o.
-o*(o + 40)
Find c, given that -2*c**5 + 117*c**4 - 1948*c**3 + 6777*c**2 - 2916*c = 0.
0, 1/2, 4, 27
Solve r**4/3 - 223*r**3/3 - 225*r**2 - 677*r/3 - 226/3 = 0 for r.
-1, 226
Suppose -2*a**4 - 16*a**3 + 6*a**2 + 52*a + 32 = 0. What is a?
-8, -1, 2
Factor 9*v**2 - 204*v + 1156.
(3*v - 34)**2
Find b such that 2*b**4/17 + 4*b**3/17 - 16*b**2/17 - 36*b/17 - 18/17 = 0.
-3, -1, 3
Suppose -j**3 - 3*j**2 + 9*j - 5 = 0. Calculate j.
-5, 1
Let -2*k**3 + 48*k**2 - 126*k = 0. Calculate k.
0, 3, 21
Factor -5*r**5 + 235*r**4 - 455*r**3 + 225*r**2.
-5*r**2*(r - 45)*(r - 1)**2
Suppose 14*c**5/9 + 94*c**4/9 + 56*c**3/3 + 56*c**2/9 - 32*c/9 = 0. What is c?
-4, -2, -1, 0, 2/7
Find q such that 4*q**5/3 - 32*q**4/3 + 16*q**3 + 8*q**2/3 - 52*q/3 + 8 = 0.
-1, 1, 6
Factor 5*y**4 - 170*y**3 + 1255*y**2 + 1430*y.
5*y*(y - 22)*(y - 13)*(y + 1)
Find a such that -1039682*a**5/9 - 3124814*a**4/9 - 232964*a**3 - 11560*a**2/9 - 16*a/9 = 0.
-2, -1, -2/721, 0
Factor -p**2/9 + 19*p/9.
-p*(p - 19)/9
Solve -y**3 - 17*y**2 + 80*y - 84 = 0.
-21, 2
Find y, given that 2*y**4 - 48*y**3 + 286*y**2 = 0.
0, 11, 13
Solve -2*x**4/11 - 26*x**3/11 + 2*x**2/11 + 26*x/11 = 0.
-13, -1, 0, 1
Factor 4*u**3 + 1176*u**2 + 1164*u - 2344.
4*(u - 1)*(u + 2)*(u + 293)
Factor -2*m**3/13 + 16*m**2/13 + 2*m/13 - 16/13.
-2*(m - 8)*(m - 1)*(m + 1)/13
Let 4*z**2 - 248*z + 3844 = 0. Calculate z.
31
Determine b, given that -2*b**5/5 - 18*b**4/5 - 32*b**3/5 + 48*b**2/5 + 32*b + 96/5 = 0.
-6, -2, -1, 2
Factor -4*j**2/7 + 1984*j/7 - 9820/7.
-4*(j - 491)*(j - 5)/7
What is b in -6*b**4/17 - 28*b**3/17 + 50*b**2/17 + 8*b/17 - 24/17 = 0?
-6, -2/3, 1
Solve -3*g**3/8 + 50*g**2 - 131*g/8 - 133/4 = 0 for g.
-2/3, 1, 133
Factor -3*j**2/7 - 1629*j/7.
-3*j*(j + 543)/7
Factor -5*s**2 + 25*s + 70.
-5*(s - 7)*(s + 2)
Let -c**2/9 + 380*c/9 + 512/3 = 0. What is c?
-4, 384
Factor 4*j**2/5 + 452*j/5 - 456/5.
4*(j - 1)*(j + 114)/5
Factor l**3/8 - 17*l**2/8 - 9*l/4.
l*(l - 18)*(l + 1)/8
Factor 2*f**2/9 - 22*f/9 + 20/9.
2*(f - 10)*(f - 1)/9
Factor 5*o**2 - 1670*o - 6760.
5*(o - 338)*(o + 4)
Suppose 2*a**5 + 150*a**4/7 + 96*a**3/7 - 40*a**2/7 = 0. What is a?
-10, -1, 0, 2/7
Let o**4/2 - 39*o**3/8 + 57*o**2/4 - 89*o/8 - 15/4 = 0. What is o?
-1/4, 2, 3, 5
Determine v, given that -4*v**2 + 189*v - 47 = 0.
1/4, 47
Determine g so that 2*g**4 + 96*g**3 + 1236*g**2 + 1840*g - 3174 = 0.
-23, -3, 1
Fa