2, 1
Solve -k**3 - 23*k**2 + 108*k = 0.
-27, 0, 4
Factor -z**3/3 - 20*z**2/3 - 79*z/3 - 20.
-(z + 1)*(z + 4)*(z + 15)/3
Factor -w**4/3 - 11*w**3/3 + 30*w**2 - 196*w/3 + 136/3.
-(w - 2)**3*(w + 17)/3
Suppose -245*b**3 - 275*b**2 + 185*b + 215 = 0. What is b?
-1, 43/49
Suppose -12*v**2/5 + 132*v/5 - 363/5 = 0. What is v?
11/2
Find n such that -2*n**4/11 - 34*n**3/11 - 216*n**2/11 - 608*n/11 - 640/11 = 0.
-5, -4
Factor 2*j**2 + 272*j + 9248.
2*(j + 68)**2
Let w**4/4 + w**3 + w**2/2 - w - 3/4 = 0. What is w?
-3, -1, 1
Suppose 867*u**5/4 - 16677*u**4/4 + 89721*u**3/4 - 90651*u**2/4 + 4428*u - 243 = 0. Calculate u.
2/17, 1, 9
Factor 2*h**3 - 44*h**2 - 200*h - 208.
2*(h - 26)*(h + 2)**2
Factor -5*p**3 + 398*p**2 - 47676*p/5 + 60552.
-(p - 10)*(5*p - 174)**2/5
Solve -12*k**3 - 765*k**2 + 192*k = 0 for k.
-64, 0, 1/4
Find a such that a**4/4 + 7*a**3/4 + 3*a**2 = 0.
-4, -3, 0
Factor -o**3/5 + 3*o**2 + 42*o/5 - 136/5.
-(o - 17)*(o - 2)*(o + 4)/5
Suppose 2*f**5/11 - 18*f**4/11 - 70*f**3/11 - 30*f**2/11 + 68*f/11 + 48/11 = 0. What is f?
-2, -1, 1, 12
Suppose 10*s**5 - 195*s**4 + 895*s**3 + 600*s**2 - 500*s = 0. What is s?
-1, 0, 1/2, 10
Factor -w**4/2 - 3*w**3/2 + 9*w**2/2 - 5*w/2.
-w*(w - 1)**2*(w + 5)/2
Let -4*x**4 + 1200*x**3 - 135000*x**2 + 6750000*x - 126562500 = 0. Calculate x.
75
Determine c so that -27*c**5 - 2196*c**4 - 43851*c**3 + 35202*c**2 + 102828*c + 40344 = 0.
-41, -2/3, 2
Solve -3*r**4 + 6*r**2 - 3 = 0.
-1, 1
Determine x so that -4*x**4/5 - 4*x**3 - 4*x**2 + 4*x + 24/5 = 0.
-3, -2, -1, 1
Factor 2*x**4/5 + 12*x**3/5 + 18*x**2/5.
2*x**2*(x + 3)**2/5
Factor 5*s**2 + 138*s + 81.
(s + 27)*(5*s + 3)
Factor l**2 + 72*l + 455.
(l + 7)*(l + 65)
Factor -3*h**5 - 51*h**4 + 330*h**3.
-3*h**3*(h - 5)*(h + 22)
Factor 5*g**3 - 40*g**2 - 95*g - 50.
5*(g - 10)*(g + 1)**2
Find k such that -k**5 + k**4 + 9*k**3 - 13*k**2 - 8*k + 12 = 0.
-3, -1, 1, 2
Factor 14*h**3/13 - 90*h**2/13 + 162*h/13 - 54/13.
2*(h - 3)**2*(7*h - 3)/13
Factor -5*i**4 + 600*i**3 + 605*i**2.
-5*i**2*(i - 121)*(i + 1)
Factor 3*w**3 + 3702*w**2 + 1142067*w.
3*w*(w + 617)**2
Find h such that 3*h**2/4 + 102*h + 405/4 = 0.
-135, -1
Factor -2*x**3/11 + 4*x**2/11 + 2*x/11 - 4/11.
-2*(x - 2)*(x - 1)*(x + 1)/11
Factor 20*a**3 - 128*a**2 + 36*a + 72.
4*(a - 6)*(a - 1)*(5*a + 3)
Factor -y**3/8 - 13*y**2/2 - 621*y/8 + 729/4.
-(y - 2)*(y + 27)**2/8
Factor 21*u**3 - 2715*u**2 + 6108*u - 1524.
3*(u - 127)*(u - 2)*(7*u - 2)
Find c, given that -7*c**5/3 + 40*c**4/3 + 5*c**3/3 - 170*c**2/3 + 92*c/3 + 40/3 = 0.
-2, -2/7, 1, 2, 5
Suppose h**4 - 9*h**2 + 4*h + 12 = 0. What is h?
-3, -1, 2
Factor -2*d**3 + 78*d**2 - 630*d + 1450.
-2*(d - 29)*(d - 5)**2
Factor 2*p**2/3 + 20*p/3 - 22/3.
2*(p - 1)*(p + 11)/3
Factor 200*q**3/17 - 30*q**2/17 - 12*q/17 + 2/17.
2*(4*q + 1)*(5*q - 1)**2/17
Factor -4*a**4/3 + 14*a**3/15 + 2*a**2/5.
-2*a**2*(a - 1)*(10*a + 3)/15
Solve -8*i**5 - 1586*i**4 - 3508*i**3 + 3926*i**2 + 1176*i = 0.
-196, -3, -1/4, 0, 1
Factor 8*a**5 + 4*a**4 - 244*a**3 + 728*a**2 - 752*a + 224.
4*(a - 2)**3*(a + 7)*(2*a - 1)
What is v in -5*v**2/3 - 80*v - 460/3 = 0?
-46, -2
Factor -6*b**3/13 - 10*b**2 - 682*b/13 + 242/13.
-2*(b + 11)**2*(3*b - 1)/13
Suppose -3*d**2 - 9912*d - 8187312 = 0. What is d?
-1652
Solve -2*t**3 - 1118*t**2 - 155680*t + 156800 = 0.
-280, 1
Factor 5*w**4 - 530*w**3 + 14565*w**2 - 27560*w + 13520.
5*(w - 52)**2*(w - 1)**2
Factor -2*b**2 + 8*b - 8.
-2*(b - 2)**2
Find m, given that 5*m**2 - 90*m + 85 = 0.
1, 17
Factor 2*m**2/5 + 126*m/5 - 128/5.
2*(m - 1)*(m + 64)/5
Factor -81*r**2/4 - 21*r/4 + 15.
-3*(r + 1)*(27*r - 20)/4
Factor -2*t**3 - 38*t**2 + 2*t + 38.
-2*(t - 1)*(t + 1)*(t + 19)
Determine z, given that 2*z**3 + 104*z**2 + 294*z = 0.
-49, -3, 0
Find a such that -9*a**4 - 41826*a**3 - 64797768*a**2 - 33471643950*a - 11150016447 = 0.
-1549, -1/3
Factor -l**2 + 126*l - 125.
-(l - 125)*(l - 1)
Factor -5*a**3 + 90*a**2 + 2400*a - 44000.
-5*(a - 20)**2*(a + 22)
Factor 2*c**4 + 104*c**3 - 440*c**2 + 448*c.
2*c*(c - 2)**2*(c + 56)
Find u such that -u**5/12 + 7*u**4/4 + 49*u**3/6 - 327*u**2/2 - 13345*u/12 - 7225/4 = 0.
-5, -3, 17
Suppose -20*u**2/9 - 104*u + 188/9 = 0. What is u?
-47, 1/5
Factor 3*i**3/5 - 12*i**2/5 - 3*i/5 + 12/5.
3*(i - 4)*(i - 1)*(i + 1)/5
Factor -2*j**2/7 + 110*j/7 + 348/7.
-2*(j - 58)*(j + 3)/7
Suppose -3*y**5/7 - 123*y**4/7 + 267*y**3/7 + 363*y**2/7 - 1020*y/7 + 516/7 = 0. What is y?
-43, -2, 1, 2
Let i**2/6 + 124*i + 23064 = 0. Calculate i.
-372
Determine m, given that 14*m**2/19 + 4646*m/19 - 664/19 = 0.
-332, 1/7
Find l, given that -2*l**2/3 - 110*l/3 + 112/3 = 0.
-56, 1
Solve y**3/2 + 20*y**2 - y/2 - 20 = 0 for y.
-40, -1, 1
Solve p**4/10 - 3*p**3/10 + 3*p**2/10 - p/10 = 0 for p.
0, 1
Find j such that -j**2 - 6*j - 8 = 0.
-4, -2
Determine z, given that -z**2 + 36*z - 324 = 0.
18
Determine d, given that -132*d**5 + 12*d**4 + 219*d**3 - 42*d**2 - 87*d + 30 = 0.
-1, -10/11, 1/2, 1
Determine t, given that 16*t**4/5 + 8*t**3/5 - 39*t**2/5 + 17*t/5 - 2/5 = 0.
-2, 1/4, 1
Solve -2*c**3/15 - 8*c**2/15 + 8*c/5 = 0 for c.
-6, 0, 2
Determine a, given that 2*a**3/5 + 54*a**2/5 + 336*a/5 + 608/5 = 0.
-19, -4
Factor -2*f**3/13 + 168*f**2/13 - 330*f/13 + 164/13.
-2*(f - 82)*(f - 1)**2/13
Factor -2*j**2/17 + 180*j/17 - 4050/17.
-2*(j - 45)**2/17
Find c, given that -6*c**4/5 + 18*c**3/5 + 18*c**2/5 - 66*c/5 + 36/5 = 0.
-2, 1, 3
Find o, given that o**2 + 9*o - 22 = 0.
-11, 2
Factor -y**4 - 9552*y**3 - 30413568*y**2 - 32278933504*y.
-y*(y + 3184)**3
Find g such that -5*g**3 + 1475*g**2 - 108040*g - 109520 = 0.
-1, 148
Suppose -5*o**4 - 40*o**3 - 10*o**2 + 160*o - 105 = 0. What is o?
-7, -3, 1
Determine d so that -d**5/2 + 4000*d**4 - 12800000*d**3 + 20480000000*d**2 - 16384000000000*d + 5242880000000000 = 0.
1600
Let 20*l**3 - 10532*l**2 + 6304*l + 4208 = 0. Calculate l.
-2/5, 1, 526
Solve 2*m**3 - 2*m**2 - 2*m + 2 = 0.
-1, 1
Determine m so that 3*m**2/4 - 4872*m + 7912128 = 0.
3248
Factor -i**3 + 82*i**2 - 75*i - 486.
-(i - 81)*(i - 3)*(i + 2)
Find x such that -x**5 - 110*x**4 + 224*x**3 - 2*x**2 - 223*x + 112 = 0.
-112, -1, 1
Factor -4*z**2 + 164*z + 168.
-4*(z - 42)*(z + 1)
Suppose -z**5/7 + 15*z**4/7 - 12*z**3/7 - 4*z**2 = 0. Calculate z.
-1, 0, 2, 14
Factor -2*k**4/5 + 8*k**3/5 + 42*k**2/5.
-2*k**2*(k - 7)*(k + 3)/5
Factor -2*h**2/11 + 14*h/11 - 12/11.
-2*(h - 6)*(h - 1)/11
Factor 3*h**5 - 6*h**4 - 24*h**3 - 6*h**2 + 21*h + 12.
3*(h - 4)*(h - 1)*(h + 1)**3
Find n such that 4*n**2 + 168*n + 164 = 0.
-41, -1
What is g in -5*g**5/2 + 131*g**4/4 - 491*g**3/4 + 191*g**2/2 + 15*g - 18 = 0?
-2/5, 1/2, 1, 6
Determine y so that -4*y**4/9 + 2*y**3/3 + 56*y**2/3 - 86*y/9 - 28/3 = 0.
-6, -1/2, 1, 7
Factor -4*h**2 + 10872*h - 7387524.
-4*(h - 1359)**2
Factor 10*i**4 - 8*i**3 - 52*i**2 - 40*i - 6.
2*(i - 3)*(i + 1)**2*(5*i + 1)
Suppose 4*s**3 - 56*s**2 - 60*s = 0. What is s?
-1, 0, 15
Find t such that -t**2 + 51*t + 162 = 0.
-3, 54
Factor 4*l**3 - 144*l**2 + 140*l.
4*l*(l - 35)*(l - 1)
Determine k, given that 2*k**3 + 34*k**2 + 62*k + 30 = 0.
-15, -1
Determine z, given that -5*z**5/4 - 25*z**4/2 - 35*z**3/4 + 315*z**2/2 + 135*z - 270 = 0.
-6, -2, 1, 3
What is g in -2*g**2/7 + 100*g - 2082/7 = 0?
3, 347
Suppose 3*j**3/2 - 24*j**2 - 270*j - 432 = 0. What is j?
-6, -2, 24
Determine d so that -3*d**4/4 + 27*d**3/2 - 54*d**2 + 141*d/2 - 117/4 = 0.
1, 3, 13
Let -351*v**4/2 - 474*v**3 - 2479*v**2/6 - 104*v + 32/3 = 0. Calculate v.
-1, -8/9, 1/13
Factor 3*s**3/2 - 3*s**2 - 39*s/2 - 15.
3*(s - 5)*(s + 1)*(s + 2)/2
Solve 4*n**4/9 + 28*n**3/9 + 56*n**2/9 + 32*n/9 = 0 for n.
-4, -2, -1, 0
Factor s**2 + 47*s - 98.
(s - 2)*(s + 49)
Let 12*b**5 + 64*b**4 + 116*b**3 + 80*b**2 + 16*b = 0. What is b?
-2, -1, -1/3, 0
Solve 15*h**5 - 5*h**4 - 40*h**3 - 20*h**2 = 0 for h.
-1, -2/3, 0, 2
Factor -2*o**3/19 + 64*o**2/19 + 280*o/19 + 288/19.
-2*(o - 36)*(o + 2)**2/19
Solve 4*b**2 + 11380*b - 11384 = 0.
-2846, 1
Solve -5*t**2 - 810*t + 815 = 0 for t.
-163, 1
Suppose -z**2/5 - 19*z/5 - 34/5 = 0. Calculate z.
-17, -2
Factor 5*p**3/3 + 55*p**2 + 130*p/3 - 320.
5*(p - 2)*(p + 3)*(p + 32)/3
Determine i, given that -3*i**2/5 - 27*i/5 + 42 = 0.
-14, 5
Determine o, given that -4*o**5 + 220*o**4 - 180*o**3 - 1900*o**2 - 2360*o - 864 = 0.
-1, 4, 54
Factor 4*f**3 + 28*f**2 + 24*f.
4*f*(f + 1)*(f + 6)
Find q such that -2*q**