/2
Suppose -o**4/7 - 32*o**3/7 - 111*o**2/7 + 32*o/7 + 16 = 0. What is o?
-28, -4, -1, 1
Determine u so that u**3/4 + 105*u**2/4 + 103*u/2 = 0.
-103, -2, 0
Solve 98*t**4/3 + 20692*t**3/3 + 1104002*t**2/3 + 413840*t + 117600 = 0 for t.
-105, -4/7
Factor 3*h**4 - 234*h**3 - 477*h**2 - 240*h.
3*h*(h - 80)*(h + 1)**2
Find c such that -15*c**2 - 258*c - 51 = 0.
-17, -1/5
Factor -4*y**2 - 2048*y - 262144.
-4*(y + 256)**2
Factor 4*w**3 + 634*w**2 - 318*w.
2*w*(w + 159)*(2*w - 1)
Factor -9*o**3/4 - 28*o**2 - 147*o/4 - 11.
-(o + 1)*(o + 11)*(9*o + 4)/4
Determine s, given that 3*s**4 - 291*s**2 + 900*s + 1188 = 0.
-11, -1, 6
Determine x, given that -x**5 - 45*x**4 - 617*x**3 - 3087*x**2 - 4050*x = 0.
-25, -9, -2, 0
Factor -2*p**4 + p**3 + 3*p**2.
-p**2*(p + 1)*(2*p - 3)
Suppose -o**2 - 22*o + 104 = 0. What is o?
-26, 4
Factor 4*b**3 - 12*b**2 + 8*b.
4*b*(b - 2)*(b - 1)
Solve -51*n**5/7 + 410*n**4/7 - 1087*n**3/7 + 1164*n**2/7 - 452*n/7 + 16/7 = 0 for n.
2/51, 1, 2, 4
Find c such that 2*c**5/9 - 86*c**4/9 + 1286*c**3/9 - 7922*c**2/9 + 19520*c/9 - 12800/9 = 0.
1, 5, 16
Factor -3*f**5/2 - 2850*f**4 - 2166000*f**3 - 823080000*f**2 - 156385200000*f - 11885275200000.
-3*(f + 380)**5/2
Solve -l**3/3 - 721*l**2 - 390241*l - 1168561/3 = 0 for l.
-1081, -1
Factor -z**5/10 - 18*z**4 + 552*z**3/5 - 1112*z**2/5 + 744*z/5.
-z*(z - 2)**3*(z + 186)/10
Let -11*u**4 + 35*u**3 + 192*u**2 - 36*u = 0. Calculate u.
-3, 0, 2/11, 6
Factor -5*o**4 + 35*o**3 - 60*o**2.
-5*o**2*(o - 4)*(o - 3)
Factor 5*i**2 + 420*i + 1215.
5*(i + 3)*(i + 81)
Let -9*b**3/4 - 55*b**2/2 - 339*b/4 - 35/2 = 0. What is b?
-7, -5, -2/9
Factor -3*g**2 + 57*g - 102.
-3*(g - 17)*(g - 2)
Factor r**5/3 - 6*r**4 - 82*r**3/3 - 128*r**2/3 - 29*r - 22/3.
(r - 22)*(r + 1)**4/3
Factor b**4/2 - b**3 - 3*b**2/2.
b**2*(b - 3)*(b + 1)/2
Determine b, given that 4*b**2 - 752*b + 35344 = 0.
94
Factor -2*n**2/15 + 3196*n/15 - 1276802/15.
-2*(n - 799)**2/15
Suppose 6*r**4 - 105*r**3 + 144*r**2 + 3*r - 48 = 0. Calculate r.
-1/2, 1, 16
Find o such that 75*o**5/2 + 22365*o**4/2 + 24336*o**3 - 24846*o**2 + 5328*o = 0.
-296, -3, 0, 2/5
Solve -5*l**5 - 180*l**4 + 380*l**3 - 10*l**2 - 375*l + 190 = 0.
-38, -1, 1
Let c**2/2 + 15*c/2 - 50 = 0. What is c?
-20, 5
What is g in 2*g**2/9 - 14*g/9 + 4/3 = 0?
1, 6
Suppose 21*d**5 - 111*d**4 - 12*d**3 + 516*d**2 - 144*d = 0. What is d?
-2, 0, 2/7, 3, 4
Factor -7*h**2/5 + 82*h/5 - 231/5.
-(h - 7)*(7*h - 33)/5
Factor o**4 + 2*o**3 - 279*o**2 - 2180*o - 1900.
(o - 19)*(o + 1)*(o + 10)**2
Factor 2*p**3/11 + 76*p**2/11 + 146*p/11 + 72/11.
2*(p + 1)**2*(p + 36)/11
Factor o**4/3 + 35*o**3/3 + 107*o**2 + 1085*o/3 + 1150/3.
(o + 2)*(o + 5)**2*(o + 23)/3
Determine n so that -14*n**5 + 690*n**4 - 182*n**3 - 690*n**2 + 196*n = 0.
-1, 0, 2/7, 1, 49
Factor 4*t**3 - 316*t**2 + 3680*t + 110032.
4*(t - 46)**2*(t + 13)
Factor 2*g**5/9 - 10*g**4/9 + 2*g**3/3 + 2*g**2.
2*g**2*(g - 3)**2*(g + 1)/9
Factor -18*p**2/5 - 316*p/5 - 448/5.
-2*(p + 16)*(9*p + 14)/5
Factor -3*v**2 + 201*v + 852.
-3*(v - 71)*(v + 4)
Factor 5*r**4 - 570*r**3 + 2225*r**2 - 2760*r + 1100.
5*(r - 110)*(r - 2)*(r - 1)**2
Factor 3*z**4 - 15*z**3 - 132*z**2 - 180*z.
3*z*(z - 10)*(z + 2)*(z + 3)
What is t in -3*t**4/4 + 3*t**3 + 27*t**2/4 - 27*t = 0?
-3, 0, 3, 4
Solve -4*r**2 - 368*r - 364 = 0 for r.
-91, -1
Suppose -58*p**4/3 - 286*p**3/3 + 20*p**2/3 = 0. What is p?
-5, 0, 2/29
Factor -3*m**2/7 - 321*m/7 + 324/7.
-3*(m - 1)*(m + 108)/7
Suppose 5*b**5/3 - 13*b**4/3 + 11*b**3/3 - b**2 = 0. What is b?
0, 3/5, 1
Factor -3*s**2/4 - 507*s/4 + 255/2.
-3*(s - 1)*(s + 170)/4
Solve -s**5 - 5*s**4 + s**3 + 5*s**2 = 0.
-5, -1, 0, 1
Find h such that -2*h**3 - 216*h**2 + 888*h - 896 = 0.
-112, 2
Find m such that -5*m**2 - 70*m - 65 = 0.
-13, -1
Factor k**4/8 - 13*k**3 + 675*k**2/2 + 52*k - 1352.
(k - 52)**2*(k - 2)*(k + 2)/8
Suppose w**5 + 13*w**4 + 16*w**3 - 188*w**2 + 64*w + 256 = 0. Calculate w.
-8, -1, 2
Determine n, given that -5*n**3 + 15*n**2 + 470*n + 840 = 0.
-7, -2, 12
Factor 3*s**4/5 - 93*s**3/5 - 96*s**2/5.
3*s**2*(s - 32)*(s + 1)/5
Let b**5 - 5*b**4 - 2*b**3 + 24*b**2 = 0. Calculate b.
-2, 0, 3, 4
Factor -3*p**2/7 - 87*p/7 - 12.
-3*(p + 1)*(p + 28)/7
Let -u**4/3 + 8*u**3/3 + 79*u**2/3 + 70*u/3 = 0. Calculate u.
-5, -1, 0, 14
Factor -l**2/4 - 4809*l/4.
-l*(l + 4809)/4
Solve -5*k**4/8 + 117*k**3/8 - 23*k**2/4 = 0 for k.
0, 2/5, 23
Factor -q**2/3 - 8*q/3 - 16/3.
-(q + 4)**2/3
Factor 4*b**2 + 118*b + 58.
2*(b + 29)*(2*b + 1)
Factor -4*x**2/9 + 3160*x/9.
-4*x*(x - 790)/9
Suppose 4*n**5 + 24*n**4 + 32*n**3 - 24*n**2 - 36*n = 0. Calculate n.
-3, -1, 0, 1
Factor s**4/2 - 31*s**3/2 + 315*s**2/2 - 1325*s/2 + 1000.
(s - 16)*(s - 5)**3/2
Suppose 2*l**5 + 12*l**4 + 24*l**3 + 20*l**2 + 6*l = 0. Calculate l.
-3, -1, 0
Find a such that -a**5/8 - 9*a**4/8 - a**3/2 + 9*a**2/2 + 4*a = 0.
-8, -2, -1, 0, 2
Suppose 18*r**2 + 249*r - 42 = 0. What is r?
-14, 1/6
Factor d**2/2 - 56*d + 1568.
(d - 56)**2/2
Factor 4*k**4 - 4*k**3 - 8*k**2.
4*k**2*(k - 2)*(k + 1)
Suppose -q**5/9 - 4*q**4/9 + 2*q**3/9 + 4*q**2/3 - q = 0. What is q?
-3, 0, 1
Find b such that 2625*b**5 + 792*b**4 + 12*b**3 = 0.
-2/7, -2/125, 0
Determine b so that -5*b**3 + 275*b**2 - 535*b + 265 = 0.
1, 53
Let -96*h**4 + 116*h**3 - 16*h**2 - 4*h = 0. Calculate h.
-1/8, 0, 1/3, 1
What is a in 4*a**5 - 36*a**4 + 128*a**3 - 224*a**2 + 192*a - 64 = 0?
1, 2
Let 109*k**3/3 - 107*k**2/3 - 220*k/3 - 4/3 = 0. What is k?
-1, -2/109, 2
Suppose -12*n**3 + 429*n**2 - 312*n - 105 = 0. Calculate n.
-1/4, 1, 35
Factor 5*x**4 + 15*x**3 + 5*x**2 - 15*x - 10.
5*(x - 1)*(x + 1)**2*(x + 2)
Let 2*d**3 - 66*d**2 - 68*d = 0. Calculate d.
-1, 0, 34
Let 34*v**2/21 - 10*v/7 - 4/21 = 0. Calculate v.
-2/17, 1
Solve -f**4/6 - 5*f**3/3 - 3*f**2/2 = 0 for f.
-9, -1, 0
Factor -4*f**5 - 288*f**4 + 1824*f**3 - 3704*f**2 + 3108*f - 936.
-4*(f - 3)*(f - 1)**3*(f + 78)
Find x such that -2*x**4/15 - 16*x**3/5 - 98*x**2/5 - 632*x/15 - 128/5 = 0.
-16, -4, -3, -1
Factor 4107*v**2/4 + 8325*v + 16875.
3*(37*v + 150)**2/4
Factor -3*n**5 - 84*n**4 - 786*n**3 - 2772*n**2 - 3267*n.
-3*n*(n + 3)**2*(n + 11)**2
Factor 2*z**2/3 - 2*z/3 - 40/3.
2*(z - 5)*(z + 4)/3
Suppose -9*x**4 + 402*x**3 - 3189*x**2 - 31800*x + 22500 = 0. Calculate x.
-6, 2/3, 25
Factor -s**3/4 - 21*s**2 - 399*s/4 - 79.
-(s + 1)*(s + 4)*(s + 79)/4
Find f such that -2*f**2/13 + 1334*f/13 - 1332/13 = 0.
1, 666
Let -67*b**3/4 + 333*b**2/4 - 98*b - 3 = 0. What is b?
-2/67, 2, 3
Factor 3*h**4 - 9*h**3 - 126*h**2 - 300*h - 216.
3*(h - 9)*(h + 2)**3
Determine r, given that 4*r**5/5 + 108*r**4/5 + 140*r**3 + 756*r**2/5 - 688*r - 720 = 0.
-18, -5, -1, 2
Find k, given that -4*k**2 - 192*k + 196 = 0.
-49, 1
What is q in 16*q**2/3 + 4284*q + 3212/3 = 0?
-803, -1/4
Factor 2*b**4 - 92*b**3 - 288*b**2 - 292*b - 98.
2*(b - 49)*(b + 1)**3
What is o in -3*o**2 + 33*o = 0?
0, 11
What is v in -4*v**4 - 44*v**3 - 144*v**2 - 64*v + 256 = 0?
-4, 1
Determine f, given that -4*f**4/3 + 4*f**3 + 4*f**2/3 - 4*f = 0.
-1, 0, 1, 3
Factor -4*q**3 - 18720*q**2 - 21902400*q.
-4*q*(q + 2340)**2
Determine k, given that -2*k**5/11 - 30*k**4/11 + 38*k**3/11 + 86*k**2/11 - 156*k/11 + 64/11 = 0.
-16, -2, 1
Determine j so that -j**4/11 + 6*j**3/11 + j**2/11 - 6*j/11 = 0.
-1, 0, 1, 6
Factor v**4/5 + 39*v**3/5 + 454*v**2/5 + 1824*v/5 + 1408/5.
(v + 1)*(v + 8)**2*(v + 22)/5
Factor -28*x**2/3 + 31*x/3 - 1.
-(x - 1)*(28*x - 3)/3
Factor 2*u**4 - 18*u**3 + 60*u**2 - 88*u + 48.
2*(u - 3)*(u - 2)**3
Factor -10890*s**2 + 1716*s - 338/5.
-2*(165*s - 13)**2/5
Factor -4*s**3 - 2016*s**2 - 254016*s.
-4*s*(s + 252)**2
What is u in u**5/4 + 43*u**4/4 + 339*u**3/4 - 2727*u**2/4 + 540*u + 1296 = 0?
-24, -1, 3
What is k in k**3/4 - 31*k**2/4 + 61*k - 120 = 0?
3, 8, 20
Determine v, given that -v**2 + 329*v = 0.
0, 329
Factor -9*t**2 - 57*t/2 - 21.
-3*(t + 2)*(6*t + 7)/2
Let 3*i**2/8 + 27*i/8 + 3 = 0. What is i?
-8, -1
Factor 140*r**3 + 1324*r**2 + 528*r - 432.
4*(r + 9)*(5*r - 2)*(7*r + 6)
Factor 2*s**3 - 10*s**2 + 8*s.
2*s*(s - 4)*(s - 1)
Let 16*v**2/5 - 10996*v/5 - 8256/5 = 0. Calculate v.
-3/4, 688
Find u such that 6*u**2 + 62*u + 20 = 0.
-10, -1/3
Factor 4*q**2 + 4*q.
4*q*(q + 1)
Determine k so that -3*k**2 - 5950*k - 1983 = 0.
-1983, -1/3
Factor 2*r**2/9 + 4048*r/9 + 2048288/9.
2*(r + 1012)**2/9
Factor -4*y**2/7 + 5064*y/7 - 1602756/7.
-4