Determine i, given that -2*i**2/9 + 16*i/3 + 50/9 = 0.
-1, 25
Let -1940*m**4 + 8904*m**3 - 3788*m**2 - 3144*m - 32 = 0. Calculate m.
-2/5, -1/97, 1, 4
Find c, given that 9*c**4/2 - 39*c**3 + 54*c**2 - 9*c - 21/2 = 0.
-1/3, 1, 7
Find d such that -3*d**3 - 624*d**2 + 17745*d - 118638 = 0.
-234, 13
Factor -n**3 - 5*n**2 + 64*n + 140.
-(n - 7)*(n + 2)*(n + 10)
Factor -f**4/3 - f**3/3 + 9*f**2 + 27*f + 18.
-(f - 6)*(f + 1)*(f + 3)**2/3
Solve -q**2 - 1645*q - 1644 = 0.
-1644, -1
Determine h, given that h**3 - 5*h**2 + 3*h + 9 = 0.
-1, 3
Determine v so that -2*v**5/11 - 52*v**4/11 + 112*v**3/11 - 4*v**2/11 - 10*v + 56/11 = 0.
-28, -1, 1
Find s such that 5*s**5 + 95*s**4 + 215*s**3 - 2035*s**2 + 3020*s - 1300 = 0.
-13, -10, 1, 2
Factor 4*a**2 + 28*a + 24.
4*(a + 1)*(a + 6)
Determine m so that 3*m**3 - 267*m**2 + 1965*m - 1701 = 0.
1, 7, 81
Determine z, given that -324*z**4 + 1116*z**3 - 448*z**2 + 48*z = 0.
0, 2/9, 3
Factor -2*i**2 - 134*i.
-2*i*(i + 67)
Find w, given that 2*w**3/7 + 22*w**2/7 + 20*w/7 = 0.
-10, -1, 0
Factor 32*q**4 - 4*q**3 - 220*q**2 - 168*q.
4*q*(q - 3)*(q + 2)*(8*q + 7)
Factor 2*j**3 - 36*j**2.
2*j**2*(j - 18)
Let -4*b**5/7 + 36*b**4/7 + 360*b**3/7 = 0. Calculate b.
-6, 0, 15
What is f in 3*f**3 + 27*f**2 - 3*f - 27 = 0?
-9, -1, 1
Find o such that 2*o**5/11 + 28*o**4/11 - 182*o**3/11 + 152*o**2/11 = 0.
-19, 0, 1, 4
Factor -4*y**2 - 16*y - 12.
-4*(y + 1)*(y + 3)
Factor 2*n**4 + 192*n**3 - 6*n**2 - 580*n - 384.
2*(n - 2)*(n + 1)**2*(n + 96)
Factor -3*o**3/2 - 48*o**2 + 801*o/2 - 351.
-3*(o - 6)*(o - 1)*(o + 39)/2
Let -3*i**4/7 + 18*i**2/7 - 24*i/7 + 9/7 = 0. What is i?
-3, 1
What is h in -h**2 - 290*h/3 - 752/3 = 0?
-94, -8/3
Suppose -x**5 + 2*x**4 + 5*x**3 - 6*x**2 = 0. What is x?
-2, 0, 1, 3
Factor 2*w**4 + 32*w**3 - 194*w**2 + 328*w - 168.
2*(w - 2)**2*(w - 1)*(w + 21)
Let -2*u**2/11 - 24*u/11 + 216/11 = 0. What is u?
-18, 6
Suppose -45*l**5 - 795*l**4 - 470*l**3 + 710*l**2 + 515*l + 85 = 0. What is l?
-17, -1, -1/3, 1
Solve -5*n**5 - 190*n**4 + 15*n**3/4 + 565*n**2/4 - 95*n/2 = 0.
-38, -1, 0, 1/2
Solve -2*t**5/5 - 6*t**4/5 + 4*t**3/5 + 24*t**2/5 + 16*t/5 = 0.
-2, -1, 0, 2
Let -2*l**4 - 72*l**3 - 396*l**2 + 4536*l - 7938 = 0. Calculate l.
-21, 3
Factor -20*d**2 - 692*d + 280.
-4*(d + 35)*(5*d - 2)
Let u**3 - 544*u**2 - u + 544 = 0. Calculate u.
-1, 1, 544
Factor -2*t**3/5 - 252*t**2/5 - 50*t.
-2*t*(t + 1)*(t + 125)/5
Find s, given that 3*s**5 + 21*s**4 + 42*s**3 + 6*s**2 - 45*s - 27 = 0.
-3, -1, 1
Factor 2*s**2 + 32*s - 114.
2*(s - 3)*(s + 19)
Determine o so that o**4/7 + 19*o**3/7 + 5*o**2 + 17*o/7 = 0.
-17, -1, 0
Factor -4*p**2 - 76*p.
-4*p*(p + 19)
Factor -5*h**4 + 90*h**3 - 365*h**2 + 540*h - 260.
-5*(h - 13)*(h - 2)**2*(h - 1)
Solve -9*p**2 - 21*p + 120 = 0.
-5, 8/3
Let 5*a**4/2 - 10*a**3 - 25*a**2 + 70*a - 75/2 = 0. Calculate a.
-3, 1, 5
Determine s so that -3*s**3/7 - 13194*s**2/7 - 19342404*s/7 - 9451988088/7 = 0.
-1466
Factor 2*w**5 - 12*w**4 + 16*w**3 + 32*w**2 - 96*w + 64.
2*(w - 2)**4*(w + 2)
Suppose 2*v**3/13 - 18*v**2 + 232*v/13 = 0. Calculate v.
0, 1, 116
Determine g so that -4*g**4/7 - 130*g**3/7 + 30*g**2 + 200*g/7 - 136/7 = 0.
-34, -1, 1/2, 2
Solve b**3/6 - 11*b**2/3 - 28*b/3 + 32 = 0.
-4, 2, 24
Factor 4*h**3 - 2240*h**2 + 313600*h.
4*h*(h - 280)**2
Suppose -y**2/5 - 27*y/5 = 0. What is y?
-27, 0
Let 4*o**3 + 4*o**2 - 8*o = 0. What is o?
-2, 0, 1
Factor 5*i**2/4 + 480*i - 5805/4.
5*(i - 3)*(i + 387)/4
Let -l**3/5 + 9*l**2 - 87*l/5 + 43/5 = 0. Calculate l.
1, 43
Solve 2*b**4/9 + 4*b**3/3 + 22*b**2/9 + 4*b/3 = 0.
-3, -2, -1, 0
Factor -24*o**3 + 68*o**2 + 108*o + 16.
-4*(o - 4)*(o + 1)*(6*o + 1)
Let y**5/4 + 2*y**4 + 2*y**3 - 13*y**2/2 - 9*y/4 + 9/2 = 0. Calculate y.
-6, -3, -1, 1
Let 2*q**5 + 78*q**4 - 134*q**3 - 20358*q**2 + 20412*q = 0. What is q?
-27, 0, 1, 14
Find q such that 3*q**2 - 798*q + 6939 = 0.
9, 257
Factor -5*q**2/2 - 4665*q - 4352445/2.
-5*(q + 933)**2/2
Determine m, given that 14*m**2/15 + 32*m + 136/15 = 0.
-34, -2/7
Solve s**3/5 - 28*s**2 + 980*s = 0.
0, 70
Find s such that -4*s**2/7 + 38648*s/7 - 93354244/7 = 0.
4831
Determine m, given that -8*m**2/5 + 1604*m - 804005/2 = 0.
2005/4
Factor -4*x**2 + 172*x.
-4*x*(x - 43)
Factor 2*i**2 + 1344*i - 1346.
2*(i - 1)*(i + 673)
Solve -x**5 + 329*x**4 - 1306*x**3 + 1954*x**2 - 1301*x + 325 = 0.
1, 325
Suppose -125*g**3 - 75*g**2 + 390*g + 80 = 0. What is g?
-2, -1/5, 8/5
Find v, given that 4*v**4 - 16*v**3 + 24*v**2 - 16*v + 4 = 0.
1
Factor 5*i**4 + 410*i**3 + 1195*i**2 + 790*i.
5*i*(i + 1)*(i + 2)*(i + 79)
Let n**5/4 + 9*n**4/4 - 7*n**3/4 - 205*n**2/4 - 75*n/2 + 250 = 0. Calculate n.
-5, 2, 4
Factor s**3/3 + 161*s**2/3 + 2793*s + 46305.
(s + 35)*(s + 63)**2/3
Determine z so that 4*z**4/5 - 6*z**3/5 - 24*z**2/5 + 14*z/5 + 12/5 = 0.
-2, -1/2, 1, 3
Factor -g**4/6 - 7*g**3 - 90*g**2 - 468*g - 864.
-(g + 6)**3*(g + 24)/6
Find v such that -v**4/3 + 2*v**3/3 + 5*v**2/3 - 2*v = 0.
-2, 0, 1, 3
Factor 2*i**3/19 + 8*i**2/19 - 10*i/19.
2*i*(i - 1)*(i + 5)/19
Factor -l**2/2 - 642*l - 206082.
-(l + 642)**2/2
Determine f, given that -3*f**5/4 - 3*f**4 + 15*f**3/4 + 27*f**2 + 27*f = 0.
-3, -2, 0, 3
Factor -2*p**4/5 + 286*p**3/5 + 174*p**2 + 874*p/5 + 292/5.
-2*(p - 146)*(p + 1)**3/5
Find i, given that 5*i**2 - 5*i - 30 = 0.
-2, 3
Solve 3*v**3 - 27*v = 0.
-3, 0, 3
Let -4*c**4 + 2004*c**3 - 3996*c**2 + 1996*c = 0. Calculate c.
0, 1, 499
What is n in 3*n**5/2 - 21*n**4/2 - 9*n**3/2 + 57*n**2/2 + 21*n = 0?
-1, 0, 2, 7
Let -4*w**4 - 40*w**3 - 64*w**2 = 0. What is w?
-8, -2, 0
Factor -q**2/4 + 631*q/2 - 398161/4.
-(q - 631)**2/4
Solve -2*d**3/9 + 124*d**2/3 - 7688*d/3 + 476656/9 = 0 for d.
62
Suppose p**2 + 37*p + 36 = 0. What is p?
-36, -1
Factor 2*g**2/7 + 82*g/7 - 12.
2*(g - 1)*(g + 42)/7
Determine s, given that 2*s**5/9 + 112*s**4/9 - 2*s**3/3 - 332*s**2/9 + 224*s/9 = 0.
-56, -2, 0, 1
Suppose 2*n**3/5 + 16*n**2 + 296*n/5 + 288/5 = 0. Calculate n.
-36, -2
Suppose 2*r**4 - 40*r**3 - 60*r**2 + 360*r + 378 = 0. Calculate r.
-3, -1, 3, 21
Factor -3*v**2 + 708*v - 41772.
-3*(v - 118)**2
Let -15*h**4 + 1397*h**3/3 + 4438*h**2/3 + 2860*h/3 - 136/3 = 0. Calculate h.
-2, -1, 2/45, 34
Determine c so that c**2 - 12*c = 0.
0, 12
Let 2*i**4 + 146*i**3 + 560*i**2 + 552*i = 0. What is i?
-69, -2, 0
Factor -39*v**3/7 - 33*v**2 + 18*v/7.
-3*v*(v + 6)*(13*v - 1)/7
Let -f**3 + 27*f**2 + 61*f - 87 = 0. What is f?
-3, 1, 29
Let p**5/2 - 3*p**4/2 - p**3/2 + 7*p**2/2 - 2 = 0. Calculate p.
-1, 1, 2
Factor -3*f**4 - 15*f**3 - 18*f**2 + 12*f + 24.
-3*(f - 1)*(f + 2)**3
Let -x**4/6 + 11*x**3/3 - 18*x**2 - 44*x/3 + 224/3 = 0. What is x?
-2, 2, 8, 14
Solve -3*o**4 - 6*o**3 + 213*o**2 + 756*o = 0 for o.
-7, -4, 0, 9
Find i such that -2*i**3/11 - 158*i**2/11 + 324*i/11 = 0.
-81, 0, 2
Solve v**4/4 + 113*v**3/2 + 495*v**2 + 2943*v/2 + 5859/4 = 0 for v.
-217, -3
Find u such that -15*u**2 + 999*u + 402 = 0.
-2/5, 67
Suppose -a**5/3 - 2*a**4/3 + 23*a**3 - 286*a**2/3 + 460*a/3 - 88 = 0. What is a?
-11, 2, 3
Suppose 4*v**3 - 260*v**2 + 3808*v + 13872 = 0. What is v?
-3, 34
Factor -y**3/7 + 12*y**2/7 - 36*y/7 + 32/7.
-(y - 8)*(y - 2)**2/7
Solve -2*t**3 + 56*t**2 - 106*t + 52 = 0.
1, 26
Determine b so that 3*b**2 + 30*b + 63 = 0.
-7, -3
What is m in 65*m**5 + 14810*m**4 + 1124040*m**3 + 28360160*m**2 - 4389760*m = 0?
-76, 0, 2/13
Determine d so that -2*d**2/7 - 184*d/7 - 534/7 = 0.
-89, -3
Determine d, given that 2*d**4/5 - 4*d**3/5 + 2*d**2/5 = 0.
0, 1
Suppose 50*o**5/9 - 260*o**4 + 11216*o**3/3 - 149728*o**2/9 + 88672*o/3 - 18496 = 0. Calculate o.
2, 102/5
Find i such that -10*i**5/3 + 62*i**4/3 - 2*i**3/3 - 62*i**2/3 + 4*i = 0.
-1, 0, 1/5, 1, 6
Factor -3*h**3/2 + h**2/2.
-h**2*(3*h - 1)/2
Determine q so that -q**2/6 + 13*q/3 - 8 = 0.
2, 24
Factor -5*w**2/2 + 2105*w.
-5*w*(w - 842)/2
Factor -12*t**3 + 49*t**2 - 7*t - 30.
-(t - 1)*(3*t + 2)*(4*t - 15)
Solve 2*u**5/21 + 4*u**4/7 + 2*u**3/21 - 16*u**2/7 + 32*u/21 = 0.
-4, 0, 1
Determine t so that -t**4/6 + t**3/3 + 4*t**2/3 - 3*t + 3/2 = 0.
-3, 1, 3
Suppose -16*m**5 - 1956*m**4 + 1480*m**3 + 492*m**2 = 0. What is m?
-123, -1/4, 0, 1
Determine z, given that -z**5/5 + 34*z**4/5 - 152*z**3/5 + 206*z**2/5 - 87*z/5 = 0.
0, 1, 3, 29
Factor 2*w**4/3 + 10*w**3 - 50*w**2/3 - 250*w.
2*w*(w - 5)*(w + 5)*(w + 15)/3
Factor -4*w**3 - 52*w**2 + 160*w + 2800.
-4*(w - 7)*(w 