- 12*f.
f*(f - 4)*(f - 3)*(f - 2)/2
Determine f so that -30*f**4/13 - 256*f**3/13 - 10*f**2 - 16*f/13 = 0.
-8, -1/3, -1/5, 0
Determine j so that j**3/6 - 19*j**2 + 1083*j/2 = 0.
0, 57
Factor 2*x**3/3 + 242*x**2/3 + 2480*x + 2400.
2*(x + 1)*(x + 60)**2/3
Suppose -4*r**4 + 12*r**3 + 180*r**2 + 308*r + 144 = 0. Calculate r.
-4, -1, 9
Suppose 16*o**2 - 35972*o + 8992 = 0. Calculate o.
1/4, 2248
Let 3*d**5 - 24*d**4 - 30*d**3 + 24*d**2 + 27*d = 0. Calculate d.
-1, 0, 1, 9
Suppose -2*g**3/3 - 2*g**2 + 240*g - 4600/3 = 0. What is g?
-23, 10
Suppose -49*i**3/2 + 378*i**2 + 222*i + 32 = 0. What is i?
-2/7, 16
Determine w, given that -w**4/6 + w**3/2 - w**2/2 + w/6 = 0.
0, 1
Find z, given that 3*z**3/5 - 3708*z**2/5 + 22167*z/5 - 6642 = 0.
3, 1230
Find a such that 4*a**5 - 48*a**4 + 32*a**3 + 136*a**2 - 36*a - 88 = 0.
-1, 1, 2, 11
Factor -k**4 + 3*k**3 - 3*k**2 + k.
-k*(k - 1)**3
Factor -2*j**5 + 42*j**4 + 324*j**3.
-2*j**3*(j - 27)*(j + 6)
Let 2*o**2/9 - 4*o/9 - 2/3 = 0. What is o?
-1, 3
Factor 4*z**4/7 - 228*z**3/7 + 648*z**2/7.
4*z**2*(z - 54)*(z - 3)/7
Determine z so that -3*z**4 - 90*z**3 - 831*z**2 - 2340*z - 2028 = 0.
-13, -2
Let -b**4/4 - 3*b**3/4 + 911*b**2/2 - 6744*b - 7200 = 0. What is b?
-50, -1, 24
Let -2*r**4/5 + 18*r**3 - 1212*r**2/5 + 896*r - 960 = 0. Calculate r.
2, 3, 20
Find a such that -2*a**3/7 - 76*a**2/7 - 10*a + 148/7 = 0.
-37, -2, 1
What is l in -8*l**5/3 - 7942*l**4/3 - 1982000*l**3/3 - 1803452*l**2 - 1635480*l - 490050 = 0?
-495, -1, -3/4
Let 3*t**5 - 2*t**4 - 4*t**3 + 2*t**2 + t = 0. What is t?
-1, -1/3, 0, 1
Find d, given that -6*d**4 + 256*d**3 - 646*d**2 + 236*d + 160 = 0.
-1/3, 1, 2, 40
Factor 2*i**2 - 8400*i + 8398.
2*(i - 4199)*(i - 1)
Find z such that 129*z**2 + 36*z = 0.
-12/43, 0
Suppose -2*k**5 - 13*k**4 - 15*k**3 + 25*k**2 + 17*k - 12 = 0. What is k?
-4, -3, -1, 1/2, 1
Suppose -s**5/3 + 35*s**4/3 - 11*s**3 - 35*s**2/3 + 34*s/3 = 0. What is s?
-1, 0, 1, 34
Factor -c**2/2 + 33*c/2 + 164.
-(c - 41)*(c + 8)/2
What is d in 2*d**4/5 + 4*d**3/5 = 0?
-2, 0
Let -3*h**4 - 6*h**3 + 9*h**2 + 24*h + 12 = 0. Calculate h.
-2, -1, 2
Determine f, given that 2*f**2/7 - 10*f - 228/7 = 0.
-3, 38
Factor -3*w**3/4 - 39*w**2/4 - 15*w/2 + 18.
-3*(w - 1)*(w + 2)*(w + 12)/4
Let 56*y**4/11 - 166*y**3/11 - 584*y**2/11 - 446*y/11 - 84/11 = 0. Calculate y.
-1, -2/7, 21/4
Factor -2*p**2/17 + 76*p/17 - 144/17.
-2*(p - 36)*(p - 2)/17
Solve 6*p**4/7 - 477*p**3/7 + 9831*p**2/7 - 1989*p + 4563/7 = 0.
1/2, 1, 39
Solve 38*u**3/11 + 82*u**2/11 + 50*u/11 + 6/11 = 0.
-1, -3/19
Factor -3*h**4 + 33*h**3 + 3*h**2 - 33*h.
-3*h*(h - 11)*(h - 1)*(h + 1)
Let 4*u**2/5 - 752*u + 3756/5 = 0. Calculate u.
1, 939
Determine p, given that 2*p**3/5 + 30*p**2 + 750*p + 6250 = 0.
-25
Factor 1089*d**2 - 3*d.
3*d*(363*d - 1)
Factor y**2/2 - 1645*y/2.
y*(y - 1645)/2
Determine m so that -15*m**3 + 205*m**2 + 295*m + 75 = 0.
-1, -1/3, 15
Solve -12*c**2 + 544*c - 180 = 0.
1/3, 45
Solve -2*n**4 + 4*n**3 + 8*n**2 - 4*n - 6 = 0 for n.
-1, 1, 3
Determine w so that 3*w**3/8 + 6*w**2 - 3*w/8 - 6 = 0.
-16, -1, 1
What is c in -32*c**5 + 16*c**4 + 174*c**3 + 180*c**2 + 54*c = 0?
-1, -3/4, 0, 3
Let -2*r**3 - 34*r**2 + 212*r - 176 = 0. Calculate r.
-22, 1, 4
Factor 5*c**4 + 340*c**3 + 975*c**2.
5*c**2*(c + 3)*(c + 65)
Factor 6*z**4 - 50*z**3 + 58*z**2 - 14*z.
2*z*(z - 7)*(z - 1)*(3*z - 1)
Find b, given that 114*b**3 + 224*b**2 - 920*b + 32 = 0.
-4, 2/57, 2
Determine a so that 125*a**5 - 225*a**4 - 1630*a**3 + 4380*a**2 - 2680*a + 480 = 0.
-4, 2/5, 2, 3
Factor -2*t**3 - 4*t**2 + 10*t + 12.
-2*(t - 2)*(t + 1)*(t + 3)
Let -2*h**5/3 - 40*h**4/3 - 104*h**3/3 + 320*h**2 - 384*h = 0. What is h?
-12, 0, 2
Factor 2*g**3/3 + 214*g**2/3 - 2*g/3 - 214/3.
2*(g - 1)*(g + 1)*(g + 107)/3
Factor 2*u**5 - 2*u**4 - 4*u**3.
2*u**3*(u - 2)*(u + 1)
Find t, given that 3*t**3/2 + 9*t**2 = 0.
-6, 0
Solve -2*c**2 - 152*c - 150 = 0.
-75, -1
Factor 2*g**4/17 + 20*g**3/17 + 74*g**2/17 + 120*g/17 + 72/17.
2*(g + 2)**2*(g + 3)**2/17
Determine d so that -5*d**4 + 10*d**3 + 60*d**2 - 40*d - 160 = 0.
-2, 2, 4
Factor 5*l**2 - 65*l + 210.
5*(l - 7)*(l - 6)
Solve -2*x**4/7 - 8*x**3/7 + 30*x**2 + 656*x/7 + 440/7 = 0.
-11, -2, -1, 10
Suppose -5*o**2 + 515*o + 3270 = 0. Calculate o.
-6, 109
Determine g, given that 9*g**2/7 + 750*g/7 + 15625/7 = 0.
-125/3
Factor -2*u**3 + 112*u**2 + 114*u.
-2*u*(u - 57)*(u + 1)
Let n**4 - 12*n**3 - 31*n**2 + 42*n = 0. Calculate n.
-3, 0, 1, 14
Factor -3*y**4 - 33*y**3 - 30*y**2.
-3*y**2*(y + 1)*(y + 10)
Determine r so that 2*r**4/9 - 28*r**3/9 + 16*r**2 - 36*r + 30 = 0.
3, 5
Suppose -2*l**5 + 138*l**4 - 132*l**3 - 272*l**2 = 0. Calculate l.
-1, 0, 2, 68
Determine k so that -k**2 - 306*k - 608 = 0.
-304, -2
Determine n so that -3*n**5 - 14*n**4 - n**3 + 26*n**2 - 8*n = 0.
-4, -2, 0, 1/3, 1
Factor 3*k**2 + 171*k + 168.
3*(k + 1)*(k + 56)
Factor j**4/6 + 4*j**3/3 + j**2 - 20*j/3 + 25/6.
(j - 1)**2*(j + 5)**2/6
Let 2*o**3/9 + 34*o**2/9 - 40*o/3 = 0. Calculate o.
-20, 0, 3
Factor -5*f**5 + 27705*f**4.
-5*f**4*(f - 5541)
Let -9*v**2 - 5*v - 2/3 = 0. What is v?
-1/3, -2/9
Factor -5*b**4 - 215*b**3 - 610*b**2 - 400*b.
-5*b*(b + 1)*(b + 2)*(b + 40)
Factor k**4/5 - 13*k**3/5 - 6*k**2.
k**2*(k - 15)*(k + 2)/5
Factor 5*x**2/2 - 130*x + 1690.
5*(x - 26)**2/2
Let 2*t**4/7 - 60*t**3/7 - 136*t**2/7 + 240*t/7 + 512/7 = 0. What is t?
-2, 2, 32
Factor 81*k**2 + 84*k + 3.
3*(k + 1)*(27*k + 1)
Factor 7*h**5/4 - 5*h**4/2 - h**3/4 + h**2.
h**2*(h - 1)**2*(7*h + 4)/4
Factor 3*j**5 - 120*j**4 + 117*j**3.
3*j**3*(j - 39)*(j - 1)
Determine u, given that 2*u**5/17 + 58*u**4/17 + 188*u**3/17 - 308*u**2/17 - 190*u/17 + 250/17 = 0.
-25, -5, -1, 1
Solve -2*u**2 - 74*u + 156 = 0.
-39, 2
Factor -3*m**4 - 79*m**3/3 + 6*m**2.
-m**2*(m + 9)*(9*m - 2)/3
Suppose -2*h**4 + 18*h**3 - 30*h**2 + 14*h = 0. What is h?
0, 1, 7
Factor -121*b**4/5 - 2156*b**3/5 + 79*b**2 - 18*b/5.
-b*(b + 18)*(11*b - 1)**2/5
Factor x**2 + 66*x + 1089.
(x + 33)**2
Factor -7*f**3/2 - 18*f**2 - 27*f/2 + 27.
-(f + 3)**2*(7*f - 6)/2
Factor -5*r**3 - 25*r**2 - 35*r - 15.
-5*(r + 1)**2*(r + 3)
Let 3*p**3/7 - 93*p**2/7 - 528*p/7 - 432/7 = 0. Calculate p.
-4, -1, 36
Factor 3*h**4 + 24*h**3 + 66*h**2 + 72*h + 27.
3*(h + 1)**2*(h + 3)**2
Suppose 3*v**3 + 102*v**2 + 183*v - 288 = 0. Calculate v.
-32, -3, 1
Suppose -22*f**5/5 + 67*f**4/5 - 3*f**3/5 - 88*f**2/5 + 4*f/5 = 0. What is f?
-1, 0, 1/22, 2
Factor 5*n**2 + 285*n.
5*n*(n + 57)
Suppose t**3/4 - 59*t**2/4 - 121*t/4 - 61/4 = 0. What is t?
-1, 61
Let 5*w**2 - 1010*w - 4120 = 0. What is w?
-4, 206
Solve -12*i**5 + 64*i**4 - 92*i**3 + 24*i**2 = 0.
0, 1/3, 2, 3
Factor 3*x**5/7 - 15*x**4/7 + 3*x**3 - 9*x**2/7.
3*x**2*(x - 3)*(x - 1)**2/7
Find j such that 3*j**4 - 8*j**3 - 3*j**2 = 0.
-1/3, 0, 3
Suppose -y**4/2 + 5*y**3 - 69*y**2/8 - 209*y/8 + 121/4 = 0. Calculate y.
-2, 1, 11/2
Solve n**2/6 + 397*n/3 = 0 for n.
-794, 0
Let 2*a**5 - 2*a**4 - 36*a**3 + 56*a**2 + 112*a - 192 = 0. Calculate a.
-4, -2, 2, 3
Find k, given that 2*k**5/9 - 38*k**4/9 + 94*k**3/9 + 38*k**2/9 - 32*k/3 = 0.
-1, 0, 1, 3, 16
Solve c**4/2 + 21*c**3/2 + 31*c**2/2 - 129*c/2 + 38 = 0.
-19, -4, 1
Solve -25*v**4/9 - 373*v**3/9 - 215*v**2/3 - 271*v/9 + 26/9 = 0.
-13, -1, 2/25
Solve -x**2 - 40*x - 175 = 0.
-35, -5
Factor -12*r**3 + 4*r**2 + 48*r - 16.
-4*(r - 2)*(r + 2)*(3*r - 1)
Let i**3/4 + 71*i**2/2 + 1147*i - 8214 = 0. What is i?
-74, 6
Suppose -4*t**4 - 20*t**3 + 19*t**2 + 182*t + 147 = 0. Calculate t.
-7/2, -1, 3
Factor 3*q**3/5 - 33*q**2/5 - 42*q/5 + 72/5.
3*(q - 12)*(q - 1)*(q + 2)/5
Let 2*w**2/7 + 228*w/7 + 6498/7 = 0. Calculate w.
-57
Determine i so that -2*i**3/5 - 15*i**2 - 178*i/5 - 21 = 0.
-35, -3/2, -1
Factor -2*p**3/11 - 108*p**2/11 - 202*p/11 + 312/11.
-2*(p - 1)*(p + 3)*(p + 52)/11
Determine y so that -y**5/3 + 14*y**4/3 - 70*y**3/3 + 152*y**2/3 - 145*y/3 + 50/3 = 0.
1, 2, 5
Solve 12*l**4 - 62*l**3 + 54*l**2 + 12*l - 16 = 0 for l.
-1/2, 2/3, 1, 4
Factor -75*z**3 + 42240*z**2 + 33828*z + 6768.
-3*(z - 564)*(5*z + 2)**2
Factor 2*w**3 + 138*w**2 + 2448*w + 2312.
2*(w + 1)*(w + 34)**2
Factor 4*u**4/7 - 208*u**3/7 + 112*u**2 - 768*u/7.
4*u*(u - 48)*(u - 2)**2/7
Determine w so that -w**3/3 - 21*w**2 + 64*w/3 = 0.
-64, 0, 1
Factor v**2/10 - 41*v/10 - 286/5.
(v - 52)*(v + 11)/10
Factor -1899*r**3 - 1212*r**2 - 175*r + 6.
-(3*r + 1)**2*(211*r - 6)