7 = 0.
107
Suppose -57*j**5 + 111*j**4 - 51*j**3 - 3*j**2 = 0. Calculate j.
-1/19, 0, 1
Suppose -5*h**3 - 145*h**2 - 275*h - 135 = 0. Calculate h.
-27, -1
Factor -100*j**4 - 49880*j**3 - 6239956*j**2 - 4968048*j - 992016.
-4*(j + 249)**2*(5*j + 2)**2
Factor -2*p**3 - 114*p**2 - 1782*p - 4374.
-2*(p + 3)*(p + 27)**2
Find y, given that 5*y**4/6 + 5*y**3 + 5*y**2/2 - 25*y/3 = 0.
-5, -2, 0, 1
Determine s so that -5*s**4 - 85*s**3 + 320*s**2 + 340*s - 1200 = 0.
-20, -2, 2, 3
Suppose -2*k**2/9 + 32*k/9 - 32/3 = 0. What is k?
4, 12
What is s in -3*s**3/7 + 156*s**2/7 - 63*s = 0?
0, 3, 49
Factor x**3 + 164*x**2 + 163*x.
x*(x + 1)*(x + 163)
Factor -2*z**2/3 + 1216*z/3.
-2*z*(z - 608)/3
Determine k so that -5*k**3 - 30*k**2 - 45*k = 0.
-3, 0
Factor -w**5/2 - 2*w**4 - 3*w**3 - 2*w**2 - w/2.
-w*(w + 1)**4/2
What is b in -9*b**5 + 96*b**4 - 201*b**3 + 66*b**2 + 48*b = 0?
-1/3, 0, 1, 2, 8
Let -45*f**5 + 6315*f**4 + 4285*f**3 - 7735*f**2 - 2840*f + 2820 = 0. Calculate f.
-1, 2/3, 141
Suppose 2*v**3/9 - 40*v**2/9 - 134*v/9 - 92/9 = 0. What is v?
-2, -1, 23
Determine r so that r**3/2 - 6*r**2 - r/2 + 6 = 0.
-1, 1, 12
Solve 228*t**5 + 100*t**4 - 372*t**3 - 116*t**2 + 144*t + 16 = 0.
-1, -2/19, 2/3, 1
Factor -2*w**3/3 + 962*w**2/3 - 115198*w/3 - 116162/3.
-2*(w - 241)**2*(w + 1)/3
Determine k, given that 20*k**2 + 165*k + 175 = 0.
-7, -5/4
Factor -4*k**2 + 1304*k - 3876.
-4*(k - 323)*(k - 3)
Factor 2*v**3 - 154*v**2/5 + 120*v - 216/5.
2*(v - 9)*(v - 6)*(5*v - 2)/5
Determine u so that 105*u**3 - 430*u**2 + 355*u - 30 = 0.
2/21, 1, 3
Let -s**4/6 - 2*s**3/3 - s**2/6 + s = 0. What is s?
-3, -2, 0, 1
Let -2*s**4 + 14*s**3 + 122*s**2 - 14*s - 120 = 0. Calculate s.
-5, -1, 1, 12
Find z such that -z**2 - 23*z + 50 = 0.
-25, 2
Determine c so that -2*c**2/9 + 196*c/9 + 400/9 = 0.
-2, 100
What is w in w**4 - 114*w**3 + 224*w**2 = 0?
0, 2, 112
Factor -3*v**2 + 594*v.
-3*v*(v - 198)
Factor -3*n**4/5 - 138*n**3 - 7935*n**2.
-3*n**2*(n + 115)**2/5
Let -2*g**5 - 12*g**4 - 24*g**3 - 16*g**2 = 0. What is g?
-2, 0
Factor 2*r**2 + 16*r - 18.
2*(r - 1)*(r + 9)
Determine n so that -9*n**2 - 28*n - 20 = 0.
-2, -10/9
Determine o so that 5*o**5/2 + 45*o**4/4 + 45*o**3/4 - 10*o**2 - 15*o = 0.
-2, -3/2, 0, 1
Solve 324*w**4 - 720*w**3 + 472*w**2 - 80*w + 4 = 0.
1/9, 1
Factor -f**2 + 5292*f - 7001316.
-(f - 2646)**2
Suppose h**2 + 36*h = 0. What is h?
-36, 0
Let 385*u**3 - 565*u**2 + 200*u - 20 = 0. What is u?
2/11, 2/7, 1
Suppose -6*u**5 - 141*u**4 - 1101*u**3 - 2757*u**2 + 1827*u + 7938 = 0. Calculate u.
-9, -7, -2, 3/2
Find p such that 3*p**5 + 24*p**4 = 0.
-8, 0
Factor -8*q**2/3 - 1006*q/3 + 84.
-2*(q + 126)*(4*q - 1)/3
Factor -3*f**3 + 2*f**2 + 5*f - 4.
-(f - 1)**2*(3*f + 4)
Factor w**3/2 - 2951*w**2/2 + 2172667*w/2 + 6544587/2.
(w - 1477)**2*(w + 3)/2
What is a in -a**2/5 - 19*a + 96/5 = 0?
-96, 1
Factor 5*v**3 + 10315*v**2 + 5314800*v - 5325120.
5*(v - 1)*(v + 1032)**2
Solve 3*p**2/2 - 1251*p/2 + 624 = 0.
1, 416
Solve 2*i**3/7 - 310*i**2/7 - 312*i/7 = 0.
-1, 0, 156
Suppose -3*v**5/2 + 803*v**4/2 - 160795*v**3/6 - 18403*v**2/2 + 15008*v - 8978/3 = 0. Calculate v.
-1, 1/3, 134
Solve 8*f**4 + 36*f**3 + 16*f**2 - 60*f = 0 for f.
-3, -5/2, 0, 1
Factor -26*l**3 + 28*l**2 + 50*l - 4.
-2*(l - 2)*(l + 1)*(13*l - 1)
Find q such that -3*q**3 + 111*q**2 = 0.
0, 37
What is b in -b**5/7 + 5*b**4/7 - 3*b**3/7 - 5*b**2/7 + 4*b/7 = 0?
-1, 0, 1, 4
Let -2*c**2/3 - 2908*c/3 - 1057058/3 = 0. What is c?
-727
Factor -2*v**2/19 + 736*v/19 + 738/19.
-2*(v - 369)*(v + 1)/19
Factor 3*k**3/4 + 45*k**2/4 - 12*k.
3*k*(k - 1)*(k + 16)/4
Factor p**2/7 - 5428*p/7 + 7365796/7.
(p - 2714)**2/7
Factor -2*z**2/5 + 12*z/5 - 16/5.
-2*(z - 4)*(z - 2)/5
Determine c, given that c**2 - 120*c + 3600 = 0.
60
Solve -3*v**2 + 678*v - 1344 = 0.
2, 224
Factor 5*k**2/2 - 125/2.
5*(k - 5)*(k + 5)/2
Suppose 18*s**2/7 - 40*s/7 + 22/7 = 0. What is s?
1, 11/9
Factor -18*a**4/5 - 2868*a**3/5 - 116138*a**2/5 - 151048*a/5 - 49928/5.
-2*(a + 79)**2*(3*a + 2)**2/5
Let -16*n**4/5 - 44*n**3/5 - 4*n**2 + 8*n/5 = 0. What is n?
-2, -1, 0, 1/4
What is p in 2*p**2 + 10164*p + 12913362 = 0?
-2541
Find i such that -i**3/2 - 331*i**2 - 53088*i + 564480 = 0.
-336, 10
What is b in -2*b**4/3 - 20*b**3/3 - 70*b**2/3 - 100*b/3 - 16 = 0?
-4, -3, -2, -1
Suppose 2*j**4 - 10*j**3 - 2*j**2 + 34*j + 24 = 0. Calculate j.
-1, 3, 4
Factor -c**3 - 191*c**2 + 385*c - 193.
-(c - 1)**2*(c + 193)
What is o in -o**5 + 6*o**4 + 127*o**3 + 120*o**2 = 0?
-8, -1, 0, 15
Factor -3*s**2/5 + 2736*s/5 + 2739/5.
-3*(s - 913)*(s + 1)/5
Factor 2*a**3/13 + 18*a**2/13 - 162*a/13 + 270/13.
2*(a - 3)**2*(a + 15)/13
Factor -26*b**4 + 248*b**3 + 574*b**2 + 300*b.
-2*b*(b + 1)**2*(13*b - 150)
Suppose -q**4/7 - 13*q**3/7 - 6*q**2 = 0. Calculate q.
-7, -6, 0
Solve 2*d**2 - 1950*d + 3892 = 0.
2, 973
Factor 2*w**3/3 - 4*w**2/3 - 16*w/3.
2*w*(w - 4)*(w + 2)/3
Factor 2*w**3/15 - 154*w**2/15 + 496*w/3 - 760.
2*(w - 57)*(w - 10)**2/15
Factor q**4/3 + 178*q**3/3 + 2580*q**2 - 5400*q.
q*(q - 2)*(q + 90)**2/3
Let q**2 - 33*q + 32 = 0. What is q?
1, 32
What is s in -s**4/4 - 13*s**3/2 + 3*s**2/4 + 20*s + 13 = 0?
-26, -1, 2
Factor -j**4/4 + 17*j**3/4 + 57*j**2/4 + 59*j/4 + 5.
-(j - 20)*(j + 1)**3/4
Let 5*d**2 + 1180*d + 69620 = 0. What is d?
-118
Factor -v**4/2 + 203*v**3.
-v**3*(v - 406)/2
Factor -m**2/2 - 54*m.
-m*(m + 108)/2
Suppose 2*b**2 - 638*b + 636 = 0. What is b?
1, 318
Find r such that r**3 + 23*r**2 = 0.
-23, 0
Factor 4*l**2/9 - 1984*l/9 - 1328/3.
4*(l - 498)*(l + 2)/9
Suppose 3*q**3 + 84*q**2 - 273*q + 186 = 0. What is q?
-31, 1, 2
Solve 24*b**4 - 135*b**3 + 189*b**2 + 96*b - 252 = 0.
-1, 2, 21/8
Factor 5*t**2 - 4780*t + 1142420.
5*(t - 478)**2
Find r such that -r**2/2 + 64*r - 2048 = 0.
64
Factor 2*w**2/5 - 62*w/5 - 56.
2*(w - 35)*(w + 4)/5
Factor 2*q**3/5 + 4*q**2/5 - 2*q - 12/5.
2*(q - 2)*(q + 1)*(q + 3)/5
Factor -4*s**5 - 52*s**4 - 268*s**3 - 684*s**2 - 864*s - 432.
-4*(s + 2)**2*(s + 3)**3
Determine g, given that 3*g**5 + 20*g**4 + 27*g**3 + 10*g**2 = 0.
-5, -1, -2/3, 0
Factor 2*b**3/5 - 54*b**2/5 - 114*b/5 - 58/5.
2*(b - 29)*(b + 1)**2/5
Factor 5*b**4/4 + 13*b**3/4 + b**2 - b.
b*(b + 1)*(b + 2)*(5*b - 2)/4
Factor -578*v**4/3 + 32028*v**3 - 4004426*v**2/3 + 312744*v - 55112/3.
-2*(v - 83)**2*(17*v - 2)**2/3
Let k**2/3 - 32*k/3 + 256/3 = 0. What is k?
16
Solve 2*m**4 - 40*m**3 - 24*m**2 + 2240*m + 6272 = 0.
-4, 14
What is d in d**3/2 + 27*d**2 + 486*d + 2916 = 0?
-18
Suppose 4*u**5/5 + 4*u**4/5 - 28*u**3/5 - 4*u**2/5 + 24*u/5 = 0. Calculate u.
-3, -1, 0, 1, 2
Find j, given that -11*j**4 + 13*j**3 + 42*j**2 - 52*j + 8 = 0.
-2, 2/11, 1, 2
Factor -3*z**4 - 60*z**3 - 249*z**2 - 372*z - 180.
-3*(z + 1)*(z + 2)**2*(z + 15)
Factor -5*q**3 - 360*q**2 + 2340*q.
-5*q*(q - 6)*(q + 78)
Solve -a**5/3 + 406*a**4/3 - 54673*a**3/3 + 2404888*a**2/3 + 4975424*a/3 + 2515456/3 = 0.
-1, 136
Let c**5/7 + 10*c**4/7 + 15*c**3/7 - 50*c**2/7 - 8*c = 0. Calculate c.
-7, -4, -1, 0, 2
Solve j**4/3 - 7*j**3/3 - 22*j**2/3 + 28*j/3 + 24 = 0.
-2, 2, 9
Factor d**5 - 6*d**4 + 5*d**3 + 24*d**2 - 36*d.
d*(d - 3)**2*(d - 2)*(d + 2)
Suppose 6*l**4 + 170*l**3/7 - 444*l**2/7 + 40*l - 48/7 = 0. What is l?
-6, 2/7, 2/3, 1
Solve 2*p**2 - 1796*p/7 + 512/7 = 0.
2/7, 128
Factor 4*o**3 + 116*o**2 + 288*o - 9072.
4*(o - 7)*(o + 18)**2
What is q in 845*q**5/2 + 39*q**4 - 1732*q**3 - 152*q**2 + 168*q - 16 = 0?
-2, -2/5, 2/13, 2
Factor -r**2 + 646*r - 104329.
-(r - 323)**2
Determine z so that -3*z**3/7 + 9*z**2/7 - 6*z/7 = 0.
0, 1, 2
Suppose -2*g**5/13 + 118*g**4/13 - 1676*g**3/13 - 2040*g**2/13 + 3600*g/13 = 0. What is g?
-2, 0, 1, 30
Factor -4*v**4 + 204*v**3 + 640*v**2 + 432*v.
-4*v*(v - 54)*(v + 1)*(v + 2)
Factor -y**3/3 + 37*y**2 - 1008*y - 3136/3.
-(y - 56)**2*(y + 1)/3
Let -2*j**5/15 + 8*j**4/15 - 2*j**3/5 - 8*j**2/15 + 8*j/15 = 0. What is j?
-1, 0, 1, 2
Find o, given that -o**3 - 471*o**2 - 58395*o - 681733 = 0.
-229, -13
Let 2*l**3/11 + 40*l**2/11 + 104*l/11 - 384/11 = 0. What is l?
-16, -6, 2
Solve 5*f**2 - 25*f - 120 = 0.
-3, 8
Factor -f**5/4 + 85*f**4/2 - 7053*f**3/4 - 3655*f**2 - 1849*f.
-f*(f - 86)**2*(f + 1)**2/4
Suppose x**2/3 - 17*x/3 - 6 = 0. Calculate x.
-1, 18
Factor 2*n**4/3 - 6*n**3 + 16*n**2/3.
2*n**2*(n - 8)*(n - 1)/3
Factor 5*y**4 + 150*y**3 + 1265*y**2 + 2100*y + 980.
5*(y + 1)**2*(y + 14)**2
Solve -5*j**5 -