 0, 1, 8
Let 7*q**4/4 - 103*q**3/4 - 39*q**2 + 47*q + 16 = 0. Calculate q.
-2, -2/7, 1, 16
Determine o so that -o**3/5 + 19*o**2/5 - 119*o/5 + 49 = 0.
5, 7
Factor -4*c**3/3 - 32*c**2 + 1680*c - 40768/3.
-4*(c - 14)**2*(c + 52)/3
What is b in -5*b**4 - 5*b**3 + 10*b**2 = 0?
-2, 0, 1
Solve -44*m**2 + 212*m - 144 = 0.
9/11, 4
Factor p**4 - 229*p**3 + 17082*p**2 - 383292*p - 2372760.
(p - 78)**3*(p + 5)
Determine w, given that 9*w**5/2 + 39*w**4/2 - 19*w**3 - 17*w**2 + 29*w/2 - 5/2 = 0.
-5, -1, 1/3, 1
Factor -s**2/2 - 34*s + 70.
-(s - 2)*(s + 70)/2
Determine v so that v**5/3 - 7*v**4/3 - 19*v**3/3 + 7*v**2/3 + 6*v = 0.
-2, -1, 0, 1, 9
Factor 39*d**3/5 + 153*d**2/5 + 144*d/5 - 12/5.
3*(d + 2)**2*(13*d - 1)/5
Factor 2*k**5/3 + 20*k**4/3 + 34*k**3/3 + 16*k**2/3.
2*k**2*(k + 1)**2*(k + 8)/3
Factor -3*w**2/7 - 852*w/7 - 849/7.
-3*(w + 1)*(w + 283)/7
Suppose 40*x**3/3 + 15*x**2 - 235*x/3 - 10 = 0. What is x?
-3, -1/8, 2
Determine a so that -10*a**2 - 45*a - 20 = 0.
-4, -1/2
Factor 25*c**3/2 - 65*c**2 + 125*c/2 - 10.
5*(c - 4)*(c - 1)*(5*c - 1)/2
Suppose -8*w**3/11 - 6*w**2/11 + 18*w/11 - 4/11 = 0. What is w?
-2, 1/4, 1
Determine f so that -27*f**2 + 33*f/5 + 102/5 = 0.
-34/45, 1
Factor -m**4/5 + 2*m**3 - 23*m**2/5 + 14*m/5.
-m*(m - 7)*(m - 2)*(m - 1)/5
Solve 3*z**4 + 9*z**3 - 156*z**2 - 756*z - 864 = 0.
-6, -3, -2, 8
Suppose -3*b**4 - 111*b**3 - 1293*b**2 - 5901*b - 8820 = 0. What is b?
-20, -7, -3
Factor 165*t**2 - 201*t + 36.
3*(t - 1)*(55*t - 12)
Suppose -r**3/2 - 5*r**2 + 156*r - 288 = 0. What is r?
-24, 2, 12
Determine h so that -2*h**3/17 - 12*h**2/17 - 18*h/17 = 0.
-3, 0
Determine p, given that -4*p**4 - 32*p**3 + 612*p**2 + 5840*p + 5200 = 0.
-10, -1, 13
Factor -5*d**4 + 20*d**2.
-5*d**2*(d - 2)*(d + 2)
Solve -4*a**5 + 88*a**4 + 412*a**3 + 128*a**2 - 624*a = 0 for a.
-3, -2, 0, 1, 26
What is t in -605*t**5/2 + 1705*t**4/2 + 3625*t**3/2 - 5405*t**2/2 - 5920*t - 2560 = 0?
-1, 32/11
What is i in 2*i**4/13 + 84*i**3/13 + 794*i**2/13 - 1848*i/13 + 968/13 = 0?
-22, 1
Factor 4*n**3 + 54*n**2/7 + 24*n/7 - 2/7.
2*(n + 1)**2*(14*n - 1)/7
Solve -2*j**4/5 - 2*j**3 + 2*j**2/5 + 2*j = 0 for j.
-5, -1, 0, 1
Factor -5*j**3 - 60*j**2 + 135*j - 70.
-5*(j - 1)**2*(j + 14)
Factor -i**3/4 - 377*i**2/4 - 94*i.
-i*(i + 1)*(i + 376)/4
Factor -3*y**4 + 36*y**3 - 129*y**2 + 180*y - 84.
-3*(y - 7)*(y - 2)**2*(y - 1)
Factor -m**3/2 - 11*m**2/2 - 19*m/2 - 9/2.
-(m + 1)**2*(m + 9)/2
Factor -4*z**2 - 64*z - 60.
-4*(z + 1)*(z + 15)
Suppose -4*b**4/7 - 616*b**3 - 166012*b**2 = 0. Calculate b.
-539, 0
Find f such that 12*f**5 - 35*f**4 - 268*f**3 + 269*f**2 + 46*f - 24 = 0.
-4, -1/3, 1/4, 1, 6
Factor k**3/8 + k**2/4 - 13*k/8 + 5/4.
(k - 2)*(k - 1)*(k + 5)/8
Let 2*m**2/19 - 16*m/19 + 30/19 = 0. Calculate m.
3, 5
Solve 75*x**3 + 70*x**2 - 75*x - 70 = 0.
-1, -14/15, 1
Factor 5*m**4 - 20*m**3 - 55*m**2 - 30*m.
5*m*(m - 6)*(m + 1)**2
Suppose -44*x**5 + 79*x**4 + 663*x**3 + 326*x**2 - 604*x + 120 = 0. What is x?
-2, 1/4, 6/11, 5
Let 5*u**4 - 5*u**3 - 35*u**2 + 5*u + 30 = 0. Calculate u.
-2, -1, 1, 3
Let -n**2 - 81*n - 80 = 0. What is n?
-80, -1
Find c, given that c**3/10 - 23*c**2/5 + 89*c/10 - 22/5 = 0.
1, 44
Factor -4*i**2/5 + 116*i/5 + 24.
-4*(i - 30)*(i + 1)/5
Factor -9*f**5/7 - 30*f**4/7 - 30*f**3/7 + 15*f/7 + 6/7.
-3*(f + 1)**4*(3*f - 2)/7
Suppose -o**2/8 - 37*o/4 - 585/8 = 0. What is o?
-65, -9
Factor 2*o**2/5 + 19896*o/5 + 49481352/5.
2*(o + 4974)**2/5
Factor -2*w**2/11 - 58*w/11 - 240/11.
-2*(w + 5)*(w + 24)/11
Factor 4*v**3/3 + 92*v**2.
4*v**2*(v + 69)/3
Determine o so that -o**5 + 7*o**4 - 15*o**3 + 9*o**2 = 0.
0, 1, 3
Suppose -3*l**4/4 - 267*l**3/2 - 22107*l**2/4 + 36846*l - 57132 = 0. What is l?
-92, 3
Solve 6*n**5/11 - 26*n**4/11 - 12*n**3/11 + 96*n**2/11 - 64*n/11 = 0.
-2, 0, 1, 4/3, 4
Solve s**2/9 - 1600*s/9 = 0.
0, 1600
Factor 5*p**2 - 250*p + 245.
5*(p - 49)*(p - 1)
Suppose -2*i**3/9 + 20*i**2/3 - 58*i/9 = 0. What is i?
0, 1, 29
Factor -n**2 - 2*n + 120.
-(n - 10)*(n + 12)
Determine h so that 15*h**4 - 275*h**3 - 3565*h**2 + 1395*h + 2430 = 0.
-9, -2/3, 1, 27
Factor 3*g**2 + 870*g + 63075.
3*(g + 145)**2
Factor 5*j**3 + 40*j**2 + 85*j + 50.
5*(j + 1)*(j + 2)*(j + 5)
Factor -6*y**2 + 27*y.
-3*y*(2*y - 9)
Factor 5*n**5 + 60*n**4 + 235*n**3 + 300*n**2.
5*n**2*(n + 3)*(n + 4)*(n + 5)
Factor z**4/5 + 3*z**3 + 81*z**2/5 + 37*z + 30.
(z + 2)*(z + 3)*(z + 5)**2/5
Suppose -3*h**2 + 123*h - 1044 = 0. What is h?
12, 29
Solve 5*v**2 - 55*v - 60 = 0 for v.
-1, 12
Suppose y**2 + 615*y = 0. Calculate y.
-615, 0
Find g such that 5*g**5/3 - 37*g**4/3 - 58*g**3 - 250*g**2/3 - 151*g/3 - 11 = 0.
-1, -3/5, 11
Suppose -j**4/2 - 25*j**3 - 457*j**2/2 + 2100*j - 3528 = 0. Calculate j.
-28, 3
Factor g**2 - 51*g - 52.
(g - 52)*(g + 1)
Factor c**3/2 + 127*c**2 + 16625*c/2 + 31250.
(c + 4)*(c + 125)**2/2
Determine k so that -6*k**4/5 - 156*k**3/5 - 168*k**2 + 2352*k/5 = 0.
-14, 0, 2
Factor 8*a**5 - 156*a**4 + 76*a**3.
4*a**3*(a - 19)*(2*a - 1)
Factor 4*x**2 + 632*x + 628.
4*(x + 1)*(x + 157)
Suppose 2*l**2 - 130*l - 268 = 0. What is l?
-2, 67
Let -f**3 - 304*f**2 - 605*f - 302 = 0. Calculate f.
-302, -1
Solve 2*h**2/5 + 92*h/5 + 816/5 = 0 for h.
-34, -12
Factor -5*f**2 + 34180*f - 58413620.
-5*(f - 3418)**2
Determine d so that -4*d**3 - 16*d**2 - 20*d - 8 = 0.
-2, -1
Find x, given that -2*x**4 - 16*x**3 + 2*x**2 + 16*x = 0.
-8, -1, 0, 1
Suppose 4*x**2 + 208*x = 0. Calculate x.
-52, 0
Find j such that -6084*j**2 + 21840*j - 19600 = 0.
70/39
Factor -12*p**3 - 189*p**2 - 132*p + 45.
-3*(p + 1)*(p + 15)*(4*p - 1)
Factor k**4 - 5*k**3 - 61*k**2 - 55*k.
k*(k - 11)*(k + 1)*(k + 5)
Factor -2*j**2 + 22*j - 60.
-2*(j - 6)*(j - 5)
What is q in 27*q**3 + 1884*q**2/5 + 1671*q/5 - 78/5 = 0?
-13, -1, 2/45
Factor -5*b**3 + 605*b**2 - 24075*b + 313875.
-5*(b - 45)**2*(b - 31)
Factor -2*u**3 + 150*u**2 - 2886*u + 2738.
-2*(u - 37)**2*(u - 1)
Solve -u**2/7 - 33*u/7 - 200/7 = 0 for u.
-25, -8
What is t in 3*t**3 - 27*t**2 + 33*t + 63 = 0?
-1, 3, 7
Suppose -2*y**5/5 - 826*y**4/5 - 1646*y**3/5 - 822*y**2/5 = 0. Calculate y.
-411, -1, 0
Suppose 4*u**4/3 - 128*u**3/3 = 0. What is u?
0, 32
Suppose -4*w**2 - 788*w - 3088 = 0. What is w?
-193, -4
Factor c**2 + 417*c - 2538.
(c - 6)*(c + 423)
Suppose 3*t**5 + 81*t**4 + 198*t**3 - 4566*t**2 + 12087*t - 7803 = 0. What is t?
-17, 1, 3
What is t in 75*t**2 - 1740*t + 10092 = 0?
58/5
Factor 2*u**3/19 - 6*u**2/19 + 6*u/19 - 2/19.
2*(u - 1)**3/19
Suppose -s**5/2 + 5*s**4 - 33*s**3/2 + 18*s**2 = 0. What is s?
0, 3, 4
Suppose 30*m**3 - 273*m**2 + 21*m + 54 = 0. Calculate m.
-2/5, 1/2, 9
Factor 5*a**3 + 855*a**2 - 3480*a + 3500.
5*(a - 2)**2*(a + 175)
Determine p so that 27*p**4/2 + 63*p**3 + 183*p**2/8 - 495*p/8 - 75/2 = 0.
-4, -5/6, 1
Find l, given that 3*l**2 + 15*l - 42 = 0.
-7, 2
Let -1536*x**5 + 128*x**4 + 14056*x**3 - 9292*x**2 - 12720*x - 2736 = 0. Calculate x.
-19/6, -3/8, 2
Factor -f**2/4 - 11*f/4 - 5/2.
-(f + 1)*(f + 10)/4
Factor 3*z**3/4 + 15*z**2/4 + 3*z.
3*z*(z + 1)*(z + 4)/4
Factor 2*f**3/17 + 12*f**2/17 - 126*f/17 - 784/17.
2*(f - 8)*(f + 7)**2/17
Determine d so that 42*d**2 - 843*d + 1518 = 0.
2, 253/14
Solve -27*z**3 + 1440*z**2 - 1884*z + 624 = 0 for z.
2/3, 52
Let 5*c**5/2 + 10*c**4 + 15*c**3/2 - 10*c**2 - 10*c = 0. What is c?
-2, -1, 0, 1
Suppose 2*r**4/5 + 892*r**3/5 + 100346*r**2/5 + 198024*r/5 + 98568/5 = 0. Calculate r.
-222, -1
What is g in 2*g**4 - 70*g**3 + 316*g**2 - 488*g + 240 = 0?
1, 2, 30
Factor 4802*t**5/3 - 34300*t**4/3 + 32340*t**3 - 45360*t**2 + 31590*t - 8748.
2*(t - 2)*(7*t - 9)**4/3
Solve -2*m**3 - 68*m**2/7 - 74*m/7 + 12/7 = 0.
-3, -2, 1/7
Let -3*h**4/5 + 27*h**3/5 + 408*h**2/5 = 0. What is h?
-8, 0, 17
Factor -2*b**4/15 - 4*b**3/3 - 22*b**2/5 - 24*b/5.
-2*b*(b + 3)**2*(b + 4)/15
Determine d so that -d**4 - 142*d**3 + 288*d**2 = 0.
-144, 0, 2
Determine m so that 21*m**5 + 11271*m**4 + 30483*m**3 + 24033*m**2 + 1596*m - 3204 = 0.
-534, -1, 2/7
Factor o**5/3 - o**3 - 2*o**2/3.
o**2*(o - 2)*(o + 1)**2/3
Suppose 2*a**2 - 50*a + 288 = 0. What is a?
9, 16
Factor -2*o**4/7 + 8*o**3 - 56*o**2.
-2*o**2*(o - 14)**2/7
Determine g, given that 5*g**4 - 35*g**3 - 45*g**2 + 35*g + 40 = 0.
-1, 1, 8
Factor 4*i**2 - 36*i + 56.
4*(i - 7)*(i - 2)
Solve -8788*d**4 + 10816*d**3 - 2184*d**2 + 160*d - 4 = 0 for d.
1/13, 1
Find g such that 3*g**4/2 - 3*g**3 - 9*