15
Factor -4*k**3 + 136*k**2 - 132*k.
-4*k*(k - 33)*(k - 1)
Determine k so that 3*k**4/4 - 3*k**2/4 = 0.
-1, 0, 1
Factor -6*h**3/7 + 48*h**2/7 + 222*h/7 - 264/7.
-6*(h - 11)*(h - 1)*(h + 4)/7
Factor -10*a**2/7 - 36*a/7 + 10.
-2*(a + 5)*(5*a - 7)/7
Solve -n**3 + 96*n**2 - 635*n + 1068 = 0 for n.
3, 4, 89
Determine q, given that -q**3 - 12*q**2 - 48*q - 64 = 0.
-4
Let 7*z**4/5 - 33*z**3/5 + 32*z**2/5 + 12*z/5 = 0. What is z?
-2/7, 0, 2, 3
What is d in 2*d**5 + 12*d**4 - 86*d**3 - 32*d**2 + 264*d - 160 = 0?
-10, -2, 1, 4
Let 5*j**4/3 - 5*j**2/3 = 0. What is j?
-1, 0, 1
Factor -u**4/5 - 11*u**3/5 - 7*u**2 - 5*u.
-u*(u + 1)*(u + 5)**2/5
Factor -4*t**4 + 24*t**3 - 48*t**2 + 32*t.
-4*t*(t - 2)**3
Solve j**3/6 - 316*j**2/3 + 49928*j/3 = 0 for j.
0, 316
Find b such that -4*b**3 + 56*b**2 - 84*b - 144 = 0.
-1, 3, 12
Let -18*r**5/11 + 4*r**4/11 + 234*r**3/11 + 164*r**2/11 - 48*r/11 = 0. What is r?
-3, -1, 0, 2/9, 4
Factor -14*g**2/3 + 4*g.
-2*g*(7*g - 6)/3
Factor 36*p**4 + 332*p**3 + 612*p**2 + 372*p + 56.
4*(p + 1)**2*(p + 7)*(9*p + 2)
Suppose r**2/3 + 710*r + 378075 = 0. Calculate r.
-1065
Suppose -3*l**2 - 66*l - 63 = 0. Calculate l.
-21, -1
Let -5*l**3 - 2675*l**2 - 356440*l + 359120 = 0. Calculate l.
-268, 1
Determine j so that -5*j**3 + 1185*j**2 - 13680*j + 40500 = 0.
6, 225
Factor 4*y**4 + 44*y**3 + 148*y**2 + 180*y + 72.
4*(y + 1)**2*(y + 3)*(y + 6)
Factor -i**2/3 - 16*i/3 + 35.
-(i - 5)*(i + 21)/3
Determine z so that 5*z**3 + 5060*z**2 + 15145*z + 10090 = 0.
-1009, -2, -1
Factor -64*q**3 + 144*q**2 - 108*q + 27.
-(4*q - 3)**3
Factor -2*o**4 + 6*o**3 + 18*o**2 - 46*o + 24.
-2*(o - 4)*(o - 1)**2*(o + 3)
Determine d so that -4*d**4/7 + 12*d**3/7 + 912*d**2/7 - 4528*d/7 + 768 = 0.
-16, 2, 3, 14
Factor 3*s**4/7 - 513*s**3/7 + 3096*s**2 + 22188*s/7.
3*s*(s - 86)**2*(s + 1)/7
Find a such that -5*a**5/4 + 23*a**4/4 - 5*a**3 - 8*a**2 + 8*a + 4 = 0.
-1, -2/5, 2
What is g in 2*g**4/7 + 20*g**3/7 + 8*g**2/7 - 12*g + 54/7 = 0?
-9, -3, 1
Factor 2*g**4 - 6*g**3 - 24*g**2 + 104*g - 96.
2*(g - 3)*(g - 2)**2*(g + 4)
Let -x**2/7 + 2*x + 15/7 = 0. Calculate x.
-1, 15
Let 6*q**2/11 + 366*q/11 - 5772/11 = 0. Calculate q.
-74, 13
Determine s so that 2*s**5/11 - 2*s**4 + 86*s**3/11 - 146*s**2/11 + 112*s/11 - 32/11 = 0.
1, 4
Suppose 2*m**4/7 + 6*m**3 - 16*m**2/7 - 456*m - 448 = 0. What is m?
-14, -1, 8
Factor 3*d**3 - 60*d**2 + 384*d - 768.
3*(d - 8)**2*(d - 4)
Factor 2*t**2/9 + 14*t/3 - 44/9.
2*(t - 1)*(t + 22)/9
What is c in c**4/4 - 3*c**3/4 - c**2 = 0?
-1, 0, 4
Determine j so that -2*j**2 + 970*j = 0.
0, 485
Factor -4*t**2 + 56*t + 128.
-4*(t - 16)*(t + 2)
Factor 4*z**4 + 61*z**3 + 37*z**2 - 273*z + 171.
(z - 1)**2*(z + 3)*(4*z + 57)
Let -q**2/4 - 29*q/4 - 39/2 = 0. What is q?
-26, -3
Factor -q**3/2 - 15*q**2/2 - 6*q + 14.
-(q - 1)*(q + 2)*(q + 14)/2
Factor 3*w**2 + 528*w.
3*w*(w + 176)
What is t in -3*t**3 - 30*t**2 + 33*t = 0?
-11, 0, 1
Factor 4*c**3 + 160*c**2 + 156*c.
4*c*(c + 1)*(c + 39)
Factor -u**5 - 5*u**4 - 9*u**3 - 7*u**2 - 2*u.
-u*(u + 1)**3*(u + 2)
Let 5*z**2 - 6050*z + 1830125 = 0. Calculate z.
605
Solve 2*w**2/7 - 48*w - 338/7 = 0 for w.
-1, 169
Factor 3*u**4 - 42*u**3 + 39*u**2.
3*u**2*(u - 13)*(u - 1)
Let -2*c**4/3 + 20*c**3 + 128*c**2/3 = 0. What is c?
-2, 0, 32
Suppose -2*k**2/5 + 56*k/5 - 374/5 = 0. What is k?
11, 17
Find d, given that -15*d**3 - 1461*d**2 + 888*d + 588 = 0.
-98, -2/5, 1
Factor -4*k**3 + 12*k + 8.
-4*(k - 2)*(k + 1)**2
Suppose 95*t**2 + 55*t - 40 = 0. Calculate t.
-1, 8/19
Suppose -5*h**4 + 15*h**3 - 10*h**2 = 0. What is h?
0, 1, 2
Determine m, given that -m**2/6 - 67*m - 13467/2 = 0.
-201
Find q such that -70*q**5 + 32*q**4/3 + 638*q**3/3 - 172*q**2 + 40*q/3 + 16/3 = 0.
-2, -2/15, 2/7, 1
Factor 4*r**5 + 12*r**4 - 16*r**3.
4*r**3*(r - 1)*(r + 4)
Determine w, given that 255*w**3/7 - 249*w**2/7 - 6*w/7 = 0.
-2/85, 0, 1
Factor 2*n**3/3 + 22*n**2 - 536*n/3 + 320.
2*(n - 4)*(n - 3)*(n + 40)/3
What is t in -t**2 - 25*t - 24 = 0?
-24, -1
Determine u so that -5*u**3/3 - 35*u**2 - 225*u - 405 = 0.
-9, -3
Suppose -45*t**2 - 5005*t - 14610 = 0. Calculate t.
-974/9, -3
Factor 529*a**2 - 8832*a + 36864.
(23*a - 192)**2
Solve x**2/6 + 13*x/6 + 20/3 = 0 for x.
-8, -5
Factor 2*z**2/15 + 8*z/15 - 14/5.
2*(z - 3)*(z + 7)/15
Factor -u**3 + 37*u**2 + 445*u + 1175.
-(u - 47)*(u + 5)**2
Suppose -m**4/2 - 242*m**3 + m**2/2 + 242*m = 0. What is m?
-484, -1, 0, 1
Suppose -2*h**5/3 - 7*h**4 - 20*h**3 - 25*h**2/3 = 0. Calculate h.
-5, -1/2, 0
Factor -5*y**4 - 30*y**3 - 25*y**2.
-5*y**2*(y + 1)*(y + 5)
Solve 4*n**4/7 + 16*n**3/7 - 52*n**2/7 - 16*n/7 + 48/7 = 0 for n.
-6, -1, 1, 2
Determine b so that -5*b**3/6 - 130*b**2/3 - 325*b/2 - 120 = 0.
-48, -3, -1
Determine g so that -g**3/4 + 69*g**2/4 - 475*g/2 + 408 = 0.
2, 16, 51
Factor 4*b**4 - 132*b**3 + 1492*b**2 - 6204*b + 4840.
4*(b - 11)**2*(b - 10)*(b - 1)
Let -5*q**3 - 410*q**2 - 11165*q - 100920 = 0. Calculate q.
-29, -24
Factor 4*h**2 + 9864*h + 6081156.
4*(h + 1233)**2
Suppose -2*o**4 - 10*o**3 - 14*o**2 - 6*o = 0. What is o?
-3, -1, 0
Factor 147*s**3/8 + 2667*s**2/8 + 10653*s/8 - 13467/8.
3*(s - 1)*(7*s + 67)**2/8
Let 4*j**2 + 80*j + 144 = 0. What is j?
-18, -2
Solve 3*l**2 + 29112*l + 70625712 = 0 for l.
-4852
Find g such that -3*g**4/2 = 0.
0
Find c such that c**3/3 - 32*c**2/3 + 340*c/3 - 400 = 0.
10, 12
Factor b**2 + 9*b - 10.
(b - 1)*(b + 10)
Factor -3*x**2/5 + 579*x/5.
-3*x*(x - 193)/5
Find c such that -6*c**4 + 178*c**3 - 92*c**2 - 712*c + 464 = 0.
-2, 2/3, 2, 29
Determine h so that -h**4 + 5*h**3 - 6*h**2 - 4*h + 8 = 0.
-1, 2
Suppose -3*t**2/2 + 603*t - 121203/2 = 0. Calculate t.
201
Determine n so that 2*n**2/5 + 716*n/5 - 288 = 0.
-360, 2
Factor 2*d**2 + 1086*d - 2180.
2*(d - 2)*(d + 545)
Solve -5*p**4 - 50*p**3 - 145*p**2 - 160*p - 60 = 0.
-6, -2, -1
Find d such that d**4 - 50*d**3 - 159*d**2 - 4*d + 212 = 0.
-2, 1, 53
Determine b so that 2*b**5/9 + 28*b**4/9 + 32*b**3/3 - 28*b**2/9 - 98*b/9 = 0.
-7, -1, 0, 1
Factor -o**3/4 - 19*o**2/2.
-o**2*(o + 38)/4
What is h in 100*h**3 + 400*h**2 + 324*h + 72 = 0?
-3, -3/5, -2/5
Factor -2*t**5 + 88*t**4 - 1142*t**3 + 1568*t**2 + 40448*t - 40960.
-2*(t - 16)**3*(t - 1)*(t + 5)
Let 4*d**2/5 + 68*d/5 + 264/5 = 0. Calculate d.
-11, -6
Suppose a**3 - 4*a**2 - 12*a = 0. What is a?
-2, 0, 6
Find o such that o**2/7 - 183*o/7 - 184/7 = 0.
-1, 184
Determine d so that 50*d**4/3 + 245*d**3/3 + 55*d**2 - 70*d/3 - 40/3 = 0.
-4, -1, -2/5, 1/2
Solve b**2 + 20*b + 19 = 0.
-19, -1
Factor 4*x**5 + 48*x**4 + 80*x**3 - 768*x**2 - 2304*x.
4*x*(x - 4)*(x + 4)*(x + 6)**2
Let -14*v**5/9 + 80*v**4/9 - 32*v**3/9 - 352*v**2/9 + 352*v/9 + 128/9 = 0. Calculate v.
-2, -2/7, 2, 4
Factor -396*p**3/7 + 8256*p**2/7 - 43772*p/7 + 7688/7.
-4*(3*p - 31)**2*(11*p - 2)/7
Suppose -8*w**4 + 756*w**3 - 2572*w**2 + 2184*w = 0. Calculate w.
0, 3/2, 2, 91
Factor -2*i**4/9 + 1894*i**3/9 - 66570*i**2 + 7078050*i - 13891500.
-2*(i - 315)**3*(i - 2)/9
Factor 2883*a**3/4 - 20553*a**2/4 + 654*a - 21.
3*(a - 7)*(31*a - 2)**2/4
Factor 2*o**2 + 44*o + 170.
2*(o + 5)*(o + 17)
Factor -3*t**3 - 7*t**2 - 4*t.
-t*(t + 1)*(3*t + 4)
Factor -2*w**4/17 + 40*w**3/17 + 42*w**2/17.
-2*w**2*(w - 21)*(w + 1)/17
Factor k**3/2 + k**2 - 21*k/2 + 9.
(k - 3)*(k - 1)*(k + 6)/2
Solve -3*o**3 - 102*o**2 - 504*o = 0.
-28, -6, 0
Find h, given that 5*h**2 - 1560*h + 121680 = 0.
156
Factor -5*x**3/3 + 1522*x**2/3.
-x**2*(5*x - 1522)/3
Solve 2*g**2 + 28*g = 0 for g.
-14, 0
Factor -f**4 - f**3 + f**2 + f.
-f*(f - 1)*(f + 1)**2
Let 4*l**2 + 20168*l + 25421764 = 0. Calculate l.
-2521
Find a such that -2*a**3 + 14*a**2 + 138*a + 234 = 0.
-3, 13
Factor -2*l**4 + 14*l**3 - 34*l**2 + 34*l - 12.
-2*(l - 3)*(l - 2)*(l - 1)**2
Solve -4*f**2/3 + 488*f/3 - 14884/3 = 0 for f.
61
What is o in 3*o**2 + 99*o - 102 = 0?
-34, 1
Factor 2*o**5 + 30*o**4 + 92*o**3 - 192*o**2 - 256*o.
2*o*(o - 2)*(o + 1)*(o + 8)**2
Suppose 2*j**4/13 - 246*j**3/13 - 250*j**2/13 + 246*j/13 + 248/13 = 0. What is j?
-1, 1, 124
Let n**2/5 - 51*n/5 + 144/5 = 0. What is n?
3, 48
Factor -t**2/4 - 1351*t/4.
-t*(t + 1351)/4
Factor -4*y**3 + 12*y**2 + 64*y + 48.
-4*(y - 6)*(y + 1)*(y + 2)
Suppose -5*m**2 + 82800*m - 342792000 = 0. What is m?
8280
Factor -g**3/4 - 3*g**2/4 + 1.
-(g - 1)*(g + 2)**2/4
Solve 25*m**4 - 160*m**3 - 115*m**2 + 70*m = 0.
-1, 0, 2/5, 7
Find a such that