0.
7, 113
Factor -3*r**3 - 6*r**2 + 3*r + 6.
-3*(r - 1)*(r + 1)*(r + 2)
Factor -4*s**2/3 - 8*s.
-4*s*(s + 6)/3
Determine a, given that 5*a**4 + 40*a**3 = 0.
-8, 0
Let -125*t**3 + 1975*t**2 + 26105*t + 66125 = 0. What is t?
-23/5, 25
Find o, given that 400*o**5/3 + 15440*o**4/3 + 12812*o**3 + 36272*o**2/3 + 15040*o/3 + 768 = 0.
-36, -4/5, -1/2
Factor -x**2/7 - 31*x/7 - 130/7.
-(x + 5)*(x + 26)/7
Find v such that v**2 - 12184*v + 37112464 = 0.
6092
Find j, given that 3*j**2/7 + 23616*j/7 + 46476288/7 = 0.
-3936
Find j such that 2*j**2/3 - 68*j/3 - 48 = 0.
-2, 36
Factor 4*z**3/5 + 64*z**2/5 + 36*z - 648/5.
4*(z - 2)*(z + 9)**2/5
Find m, given that -15*m**4 - 40*m**3 - 35*m**2 - 10*m = 0.
-1, -2/3, 0
Solve -3*z**5/2 - 19*z**4/2 - 19*z**3/2 + 43*z**2/2 + 11*z - 12 = 0 for z.
-4, -3, -1, 2/3, 1
Let 2*y**3/3 + 26*y**2/3 - 50*y/3 - 650/3 = 0. What is y?
-13, -5, 5
Suppose 3*d**3/2 + 57*d**2 + 603*d/2 + 432 = 0. What is d?
-32, -3
Let -y**3 + 2*y**2 + 8*y = 0. What is y?
-2, 0, 4
Solve -2*r**4 - 6*r**3 + 12*r**2 + 16*r = 0 for r.
-4, -1, 0, 2
What is z in -48*z**2 - 20*z + 28 = 0?
-1, 7/12
Determine k so that k**4/6 + 778*k**3/3 + 151321*k**2 + 117727738*k/3 + 22898045041/6 = 0.
-389
What is m in 35*m**3 - 3350*m**2 + 2365*m + 950 = 0?
-2/7, 1, 95
Factor -5*g**3 + 740*g**2 - 24180*g - 243360.
-5*(g - 78)**2*(g + 8)
Factor 8*u**3 + 180*u**2 + 724*u - 408.
4*(u + 6)*(u + 17)*(2*u - 1)
Find c, given that 2*c**5 - 20*c**4 + 58*c**3 - 64*c**2 + 24*c = 0.
0, 1, 2, 6
Solve -h**5 - 4*h**4 - 3*h**3 + 4*h**2 + 4*h = 0 for h.
-2, -1, 0, 1
What is a in 2*a**2/7 - 1608*a/7 - 230 = 0?
-1, 805
Factor t**3 + 2226*t**2 + 1238769*t.
t*(t + 1113)**2
Factor 2*h**3/7 - 24*h**2/7 + 22*h/7.
2*h*(h - 11)*(h - 1)/7
What is c in 3*c**3 - 5*c**2 - 11*c - 3 = 0?
-1, -1/3, 3
Let -6*j**4/7 - 106*j**3/7 - 594*j**2/7 - 990*j/7 + 400/7 = 0. Calculate j.
-8, -5, 1/3
Solve -5*v**3 + 130*v**2 + 20*v - 520 = 0 for v.
-2, 2, 26
Determine j so that -2*j**2/3 - 1960*j/3 = 0.
-980, 0
Factor 2*g**3 - 108*g**2 + 1650*g - 7744.
2*(g - 32)*(g - 11)**2
Solve -4*d**2 + 74*d - 36 = 0.
1/2, 18
Find f such that 3*f**5/5 + 7*f**4/5 + 3*f**3/5 - 3*f**2/5 - 2*f/5 = 0.
-1, 0, 2/3
Factor 5*j**4 - 220*j**3 + 2630*j**2 - 4620*j + 2205.
5*(j - 21)**2*(j - 1)**2
Factor v**3/4 - 79*v**2/4.
v**2*(v - 79)/4
Determine d so that -36*d**4 - 748*d**3 + 960*d**2 - 176*d = 0.
-22, 0, 2/9, 1
Factor -267*g**2 - 6*g.
-3*g*(89*g + 2)
Solve -3*m**3 - 42*m**2 - 39*m = 0.
-13, -1, 0
Find s, given that -4*s**5 + 180*s**4 - 2412*s**3 + 8444*s**2 - 3360*s - 14400 = 0.
-1, 3, 20
Factor a**4/2 + 9*a**3 - a**2/2 - 9*a.
a*(a - 1)*(a + 1)*(a + 18)/2
Suppose o**3 - 17*o**2 + 80*o - 64 = 0. What is o?
1, 8
Factor -4*a**3 - 224*a**2 + 464*a.
-4*a*(a - 2)*(a + 58)
Factor 50*t**2 + 252*t + 10.
2*(t + 5)*(25*t + 1)
Factor 2*g**3 - 14*g**2 + 24*g.
2*g*(g - 4)*(g - 3)
Factor i**4/3 + 17*i**3/3 + 9*i**2 - 15*i.
i*(i - 1)*(i + 3)*(i + 15)/3
Factor -c**3/7 - 9*c**2/7 + 3*c - 11/7.
-(c - 1)**2*(c + 11)/7
Solve 2*v**3/5 + 2*v**2/5 - 32*v/5 + 8 = 0 for v.
-5, 2
Solve k**4/3 - 11*k**3 - 36*k**2 - 4*k/3 + 48 = 0 for k.
-2, 1, 36
Find h, given that -4*h**2 - 13*h/3 = 0.
-13/12, 0
Factor v**2 + 342*v + 2345.
(v + 7)*(v + 335)
Let 4*c**5 + 80*c**4/3 + 104*c**3/3 + 16*c**2/3 - 20*c/3 = 0. Calculate c.
-5, -1, 0, 1/3
Solve -v**3/5 + 4*v**2/5 + 11*v/5 + 6/5 = 0 for v.
-1, 6
Factor 15*b**3 + 111*b**2 + 192*b + 60.
3*(b + 2)*(b + 5)*(5*b + 2)
Find y, given that -2*y**2/17 + 4936*y/17 - 3045512/17 = 0.
1234
Determine a so that -2*a**2 - 3112*a - 1210568 = 0.
-778
Find u, given that 5*u**3 - 5*u**2 - 20*u + 20 = 0.
-2, 1, 2
Determine t so that -t**5/6 - 17*t**4/3 + 25*t**3/2 + 18*t**2 = 0.
-36, -1, 0, 3
Let -10*w**3/3 + 12238*w**2/9 + 820*w/9 - 544/3 = 0. What is w?
-2/5, 1/3, 408
Factor -u**2/3 - 10*u - 29/3.
-(u + 1)*(u + 29)/3
Let -3*h**3 - 645*h**2 + 1956*h - 1308 = 0. What is h?
-218, 1, 2
Factor -3*l**2/5 - 408*l/5 - 13872/5.
-3*(l + 68)**2/5
Factor -r**4 - 12*r**3 - 39*r**2 - 28*r.
-r*(r + 1)*(r + 4)*(r + 7)
Let -5*g**4/4 - 15*g**3 - 215*g**2/4 - 75*g - 35 = 0. Calculate g.
-7, -2, -1
Factor -4*d**2 - 424*d.
-4*d*(d + 106)
Factor 3*p**3 + 354*p**2 + 13395*p + 159048.
3*(p + 24)*(p + 47)**2
Determine q, given that -2*q**5/3 - 4*q**4/3 + 14*q**3/3 + 40*q**2/3 + 8*q = 0.
-2, -1, 0, 3
Factor 3*v**2/5 + 72*v + 7332/5.
3*(v + 26)*(v + 94)/5
Factor -261*r**3 + 777*r**2 + 18*r.
-3*r*(r - 3)*(87*r + 2)
Find z, given that -z**3/9 + 7*z**2/9 + 40*z/9 + 44/9 = 0.
-2, 11
Find n, given that -243*n**3 + 1404*n**2 - 1920*n + 768 = 0.
8/9, 4
Find y, given that y**2/5 + 48*y + 2880 = 0.
-120
Let -2*l**2/3 - 212*l/3 - 400 = 0. What is l?
-100, -6
Find f, given that 4*f**3 - 172*f - 168 = 0.
-6, -1, 7
Factor -3*v**2 - 462*v - 9360.
-3*(v + 24)*(v + 130)
Determine d so that -75*d**4/2 + 1455*d**3/8 - 2397*d**2/8 + 1485*d/8 - 243/8 = 0.
1/4, 1, 9/5
Factor 4*i**2 - 214*i - 330.
2*(i - 55)*(2*i + 3)
Factor -3*h**2 + 312*h - 309.
-3*(h - 103)*(h - 1)
Factor -g**2 - 37*g/10 + 21/10.
-(2*g - 1)*(5*g + 21)/10
Determine j so that 605*j**2 + 13970*j + 80645 = 0.
-127/11
Factor 3*v**3 - 25*v**2 + 24*v + 28.
(v - 7)*(v - 2)*(3*v + 2)
Factor -3721*d**4/2 + 3355*d**3/2 + 1856*d**2 - 1682*d.
-d*(d + 1)*(61*d - 58)**2/2
Factor -15*t**5 + 5136*t**4 - 440667*t**3 + 175446*t**2.
-3*t**2*(t - 171)**2*(5*t - 2)
Factor -3*x**3/4 - 69*x**2/4 + 339*x/4 + 405/4.
-3*(x - 5)*(x + 1)*(x + 27)/4
Let 5*u**5 + 240*u**4 + 3090*u**3 + 4600*u**2 - 7935*u = 0. Calculate u.
-23, -3, 0, 1
What is r in -3*r**5/7 + 24*r**4/7 + 219*r**3/7 + 444*r**2/7 + 36*r = 0?
-3, -2, -1, 0, 14
Find q such that -2*q**5/7 + 2*q**4/7 + 2*q**3/7 - 2*q**2/7 = 0.
-1, 0, 1
Factor 3*z**4/2 - 783*z**3 - 3141*z**2/2 - 786*z.
3*z*(z - 524)*(z + 1)**2/2
Factor 3*g**2 - 15*g - 18.
3*(g - 6)*(g + 1)
Factor z**4 - 2*z**3 - 63*z**2 + 128*z - 64.
(z - 8)*(z - 1)**2*(z + 8)
Factor -5*f**3 - 60*f**2 - 105*f - 50.
-5*(f + 1)**2*(f + 10)
Let -j**4/3 + j**3 - j**2 + j/3 = 0. What is j?
0, 1
Suppose 3*o**4 + 3432*o**3 + 1472328*o**2 + 280723872*o + 20071756848 = 0. Calculate o.
-286
Factor 4*a**2 + 53784*a + 180794916.
4*(a + 6723)**2
Factor h**4/4 + 69*h**3/4 - h**2 - 69*h.
h*(h - 2)*(h + 2)*(h + 69)/4
Factor 2*v**4/5 + 824*v**3/5 + 492*v**2 + 2456*v/5 + 818/5.
2*(v + 1)**3*(v + 409)/5
Factor 2*o**4/7 + 310*o**3/7 + 16218*o**2/7 + 296514*o/7 + 530604/7.
2*(o + 2)*(o + 51)**3/7
Factor 2*c**4/7 - 146*c**3/7 + 180*c**2.
2*c**2*(c - 63)*(c - 10)/7
What is u in -u**5 - 13*u**4 - 47*u**3 - 23*u**2 + 48*u + 36 = 0?
-6, -1, 1
What is p in 216*p**3 + 72*p**2 - 105*p/2 - 75/4 = 0?
-5/12, 1/2
What is y in y**4 - 59*y**3 + 57*y**2 + 59*y - 58 = 0?
-1, 1, 58
Solve 2*h**5 - 16*h**4 + 14*h**3 = 0 for h.
0, 1, 7
Factor 5*m**3 - 15*m**2 - 5*m + 15.
5*(m - 3)*(m - 1)*(m + 1)
Find q such that -q**5/5 + 32*q**4/5 - 334*q**3/5 + 1248*q**2/5 - 1521*q/5 = 0.
0, 3, 13
Factor 4*h**2 - 320*h + 924.
4*(h - 77)*(h - 3)
Factor 18*v**2/17 - 168*v/17 + 392/17.
2*(3*v - 14)**2/17
Factor 2*i**4/11 + 52*i**3/11 + 98*i**2/11 + 48*i/11.
2*i*(i + 1)**2*(i + 24)/11
Factor -x**3/6 + 73*x**2/3 - 2080*x/3 - 44800/3.
-(x - 80)**2*(x + 14)/6
Determine v, given that -4*v**3 + 552*v**2 - 5220*v + 12800 = 0.
5, 128
What is i in -2*i**5/5 - 46*i**4/5 - 384*i**3/5 - 1296*i**2/5 - 864*i/5 + 2592/5 = 0?
-6, 1
Factor f**2 - 74*f + 1369.
(f - 37)**2
Determine x, given that -3*x**5 + 49*x**4 - 58*x**3 - 34*x**2 + 61*x - 15 = 0.
-1, 1/3, 1, 15
Factor -4*z**4/7 - 40*z**3/7 - 64*z**2/7.
-4*z**2*(z + 2)*(z + 8)/7
What is g in -2*g**3/9 + 56*g**2/9 - 38*g = 0?
0, 9, 19
Solve -21*w**5 - 3240*w**4 + 5649*w**3 + 5112*w**2 - 5628*w - 1872 = 0.
-156, -1, -2/7, 1, 2
Factor 4*w**4 - 32*w**3 + 36*w**2 + 72*w.
4*w*(w - 6)*(w - 3)*(w + 1)
Factor 2*r**3/11 + 4*r**2/11 - 10*r/11 - 12/11.
2*(r - 2)*(r + 1)*(r + 3)/11
Factor 5*c**2 - 190*c + 960.
5*(c - 32)*(c - 6)
Let -2*r**2 - 3212*r - 1289618 = 0. What is r?
-803
Find a such that 14*a**2 + 7522*a + 2148 = 0.
-537, -2/7
Factor -20*n**2 - 67*n + 18.
-(4*n - 1)*(5*n + 18)
Factor -382*v**2 + 4*v/5.
-2*v*(955*v - 2)/5
Determine i, given that -i**5/6 + 11*i**4/2 - 141*i**3/2 + 873*i**2/2 - 1296*i + 1458 = 0.
3, 6, 9
Find u such that -u**5/6 - u**4/6 + 5*u**3/6 + 5*u**2/6 - 2*u/3 - 2/3 = 0.
-2, -1, 1, 2
Factor -2*h**4 + 246*h**2 + 700*h - 2352.
-2*(h - 12)*(h - 2)*