5*v**2 + 40*v - 75.
-5*(v - 5)*(v - 3)
Determine a so that 2*a**3 + 96*a**2 + 90*a - 188 = 0.
-47, -2, 1
Determine q so that 2*q**2/13 - 6*q/13 - 216/13 = 0.
-9, 12
Suppose -p**3/3 - 8*p**2/3 - 5*p/3 + 14/3 = 0. Calculate p.
-7, -2, 1
Factor a**5 - 223*a**4 + 443*a**3 - 221*a**2.
a**2*(a - 221)*(a - 1)**2
What is d in d**4 - 44*d**3 - 450*d**2 - 1404*d - 1431 = 0?
-3, 53
Let 2*a**2/7 + 24824*a/7 + 77028872/7 = 0. Calculate a.
-6206
Solve 5*l**5 - 15*l**4 - 10*l**3 + 30*l**2 + 5*l - 15 = 0.
-1, 1, 3
Factor 4*q**2/3 + 520*q/3 + 16900/3.
4*(q + 65)**2/3
Factor -x**3 + 2*x**2 + 11*x - 12.
-(x - 4)*(x - 1)*(x + 3)
Factor 28*w**3 + 1378*w**2 + 290*w - 196.
2*(w + 49)*(2*w + 1)*(7*w - 2)
What is p in 2*p**4/3 - 32*p**3/3 - 8*p**2/3 + 128*p/3 = 0?
-2, 0, 2, 16
Solve l**3 - 41*l**2 + 475*l - 1083 = 0.
3, 19
Factor -2*h**2/7 - 430*h/7 - 1272/7.
-2*(h + 3)*(h + 212)/7
Factor -15*f**2/2 - 228*f - 609/2.
-3*(f + 29)*(5*f + 7)/2
Suppose 3*n**2/4 - 45*n/4 - 81/2 = 0. What is n?
-3, 18
Solve -5*a**4 + 50*a**3 + 15*a**2 - 160*a + 100 = 0.
-2, 1, 10
Factor 212*a**4 + 248*a**3 + 36*a**2.
4*a**2*(a + 1)*(53*a + 9)
Factor 3*u**5 + 6*u**4 - 15*u**3 - 18*u**2.
3*u**2*(u - 2)*(u + 1)*(u + 3)
Let -729*l**5/4 - 4293*l**4/2 + 495*l**3 + 106*l**2 - 24*l = 0. What is l?
-12, -2/9, 0, 2/9
Suppose -3*a**2 + 2385*a + 2388 = 0. Calculate a.
-1, 796
Suppose -g**2/2 - 22*g - 42 = 0. What is g?
-42, -2
Factor w**5/6 + 19*w**4/2.
w**4*(w + 57)/6
Find o, given that -2*o**2/23 + 14*o/23 + 36/23 = 0.
-2, 9
Find q such that -5*q**3/3 + 50*q**2 - 500*q + 5000/3 = 0.
10
Determine m, given that -m**4/8 - m**3 - 3*m**2/4 + m + 7/8 = 0.
-7, -1, 1
Find q, given that -q**3/3 + q**2/3 + 2*q/3 = 0.
-1, 0, 2
Factor 4*x**2 + 520*x + 16900.
4*(x + 65)**2
Factor -14*g**3/5 - 108*g**2/5 + 162*g/5.
-2*g*(g + 9)*(7*g - 9)/5
Factor x**3/6 - 16*x**2/3 + 229*x/6 - 33.
(x - 22)*(x - 9)*(x - 1)/6
Factor -c**3/3 - 19*c**2/3 - 16*c/3 + 12.
-(c - 1)*(c + 2)*(c + 18)/3
Factor q**4/2 - 3*q**3 + 9*q**2/2 - 2*q.
q*(q - 4)*(q - 1)**2/2
Let u**3/2 + 5*u**2 + 25*u/2 = 0. Calculate u.
-5, 0
Find w, given that -w**2/4 - 12*w - 44 = 0.
-44, -4
Let -2*f**5/7 + 4*f**4/7 + 6*f**3/7 - 16*f**2/7 + 8*f/7 = 0. Calculate f.
-2, 0, 1, 2
Factor 3*i**4/2 - 595*i**3/4 + 19701*i**2/4 - 218889*i/4 + 35937/4.
(i - 33)**3*(6*i - 1)/4
Factor -5*x**2 + 1065*x + 4340.
-5*(x - 217)*(x + 4)
Factor -4*w**3/7 - 200*w**2/7 - 28*w.
-4*w*(w + 1)*(w + 49)/7
Suppose -9*o**4/8 - 61*o**3/8 - 11*o**2/4 + 29*o/2 - 3 = 0. What is o?
-6, -2, 2/9, 1
Determine n, given that -3*n**3/5 - 66*n**2/5 - 81*n - 702/5 = 0.
-13, -6, -3
Factor l**5/3 + l**4/3 - 2*l**3 + 2*l**2/3 + 5*l/3 - 1.
(l - 1)**3*(l + 1)*(l + 3)/3
Suppose 3*r**2 + 3144*r + 823728 = 0. Calculate r.
-524
Determine m so that -m**2/3 - 175*m/3 + 176/3 = 0.
-176, 1
Determine a, given that -2*a**5/5 + 2*a**4 - 6*a**3/5 - 34*a**2/5 + 56*a/5 - 24/5 = 0.
-2, 1, 2, 3
Find z such that -z**3/3 + z**2/3 + 2*z/3 = 0.
-1, 0, 2
Determine d so that 5*d**4 - 825*d**3 + 34440*d**2 - 33620*d = 0.
0, 1, 82
Determine v so that -4*v**4 - 8*v**3 + 16*v**2 + 8*v - 12 = 0.
-3, -1, 1
Determine z, given that z**2/5 + 198*z/5 + 9801/5 = 0.
-99
Factor 54*w**3/5 + 1488*w**2/5 - 2008*w/15 + 224/15.
2*(w + 28)*(9*w - 2)**2/15
Suppose -10*v**4/7 - 366*v**3/7 + 158*v**2/7 + 366*v/7 - 148/7 = 0. What is v?
-37, -1, 2/5, 1
What is b in -4*b**3/3 - 28*b**2 + 60*b - 92/3 = 0?
-23, 1
Factor -a**2/3 - 1038*a - 808083.
-(a + 1557)**2/3
Determine c, given that 35*c**4 + 60*c**3 - 55*c**2 - 60*c + 20 = 0.
-2, -1, 2/7, 1
Factor 4*t**5 - 164*t**4 + 756*t**3 - 1324*t**2 + 1016*t - 288.
4*(t - 36)*(t - 2)*(t - 1)**3
Factor 20*x**4 + 744*x**3 - 4052*x**2 - 840*x.
4*x*(x - 5)*(x + 42)*(5*x + 1)
Factor -2*u**2/3 + 40*u/3 - 38/3.
-2*(u - 19)*(u - 1)/3
Suppose 9*l**4/7 - 6*l**3/7 - 9*l**2/7 + 6*l/7 = 0. What is l?
-1, 0, 2/3, 1
Suppose 2*w**5/13 - 16*w**4/13 - 270*w**3/13 + 124*w**2/13 + 1696*w/13 - 1536/13 = 0. What is w?
-8, -3, 1, 2, 16
Determine z, given that z**4 + 7*z**3 - 19*z**2 - 7*z + 18 = 0.
-9, -1, 1, 2
Solve 36*t**4/5 + 291*t**3 + 594*t**2/5 - 48*t = 0 for t.
-40, -2/3, 0, 1/4
Solve -15*z**3/4 - 27*z**2/4 + 15*z/4 + 27/4 = 0.
-9/5, -1, 1
Let 5*i**4 + 15*i**3 - 25*i**2 - 15*i + 20 = 0. Calculate i.
-4, -1, 1
Factor -25*i**3 + 45*i**2 + 165*i + 95.
-5*(i + 1)**2*(5*i - 19)
Let -8*t**5/3 + 2*t**4 + 58*t**3/3 + 2*t**2 - 50*t/3 - 4 = 0. What is t?
-2, -1, -1/4, 1, 3
Factor -3*k**2/8 - 2751*k/4.
-3*k*(k + 1834)/8
Determine q so that -q**2 - 13*q + 30 = 0.
-15, 2
Let 2*x**3/11 - 106*x**2/11 - 108*x/11 = 0. Calculate x.
-1, 0, 54
Solve -w**3/2 - 9*w**2/2 - 4*w = 0 for w.
-8, -1, 0
Determine j, given that 9*j**4/4 - 3*j**3/4 - 27*j**2/4 + 27*j/4 - 3/2 = 0.
-2, 1/3, 1
Factor o**2 + 4*o - 12.
(o - 2)*(o + 6)
Let -3*x**3 - 387*x**2 - 13041*x - 35721 = 0. What is x?
-63, -3
Find c such that -c**4/3 - 18*c**3 - 243*c**2 = 0.
-27, 0
Factor 3*w**4/2 + 3*w**3/2.
3*w**3*(w + 1)/2
Solve 3*t**5 + 825*t**4 + 56301*t**3 - 57957*t**2 - 56304*t + 57132 = 0 for t.
-138, -1, 1
Factor -2*c**2/9 + 32*c/9 + 520/9.
-2*(c - 26)*(c + 10)/9
Factor 5*w**4 - 2340*w**3 + 11615*w**2 - 18540*w + 9260.
5*(w - 463)*(w - 2)**2*(w - 1)
Factor -15*d**2 + 21385*d + 7130.
-5*(d - 1426)*(3*d + 1)
Solve -30*x**4 + 32*x**3 + 58*x**2 - 4*x = 0.
-1, 0, 1/15, 2
Factor 5*f**2 + 540*f + 14580.
5*(f + 54)**2
Determine s, given that -2*s**4 + 32*s**3 - 192*s**2 + 512*s - 512 = 0.
4
Factor -5*f**4 - 130*f**3 - 1200*f**2 - 4480*f - 5120.
-5*(f + 2)*(f + 8)**3
Factor -5*l**3 + 8*l**2 + 4*l.
-l*(l - 2)*(5*l + 2)
Find p such that -3*p**4/4 + 27*p**3/4 - 81*p = 0.
-3, 0, 6
Solve -i**4/4 + 39*i**3/4 - 141*i**2/4 + 29*i/4 + 105/2 = 0 for i.
-1, 2, 3, 35
Let -12*t**2/5 + 9*t/5 + 6 = 0. Calculate t.
-5/4, 2
Factor -5*t**5 + 240*t**4 - 1120*t**3 + 1970*t**2 - 1515*t + 430.
-5*(t - 43)*(t - 2)*(t - 1)**3
Factor 3*r**4 - 18*r**3 + 24*r**2 + 18*r - 27.
3*(r - 3)**2*(r - 1)*(r + 1)
Find n such that -2*n**5/5 + 56*n**4/5 - 194*n**3/5 - 2668*n**2/5 - 6392*n/5 - 4624/5 = 0.
-2, 17
Factor 3*s**3 - 156*s**2 + 705*s.
3*s*(s - 47)*(s - 5)
Factor -u**4 - 10*u**3 - 36*u**2 - 54*u - 27.
-(u + 1)*(u + 3)**3
Solve 2*v**2 + 7*v = 0 for v.
-7/2, 0
Factor -40*s**4 + 2860*s**3 + 4350*s**2 + 2185*s + 365.
-5*(s - 73)*(2*s + 1)**3
Factor -u**3/4 + 37*u**2/2 + 151*u/4 + 19.
-(u - 76)*(u + 1)**2/4
Solve r**2/2 + 8*r - 17/2 = 0.
-17, 1
Factor 96*t**3 + 348*t**2 + 336*t + 147/4.
3*(4*t + 7)**2*(8*t + 1)/4
Find a, given that 3*a**2/2 + 1863*a/2 - 1869 = 0.
-623, 2
Determine r, given that 32*r**5 + 76*r**4 - 8*r**3 - 76*r**2 - 24*r = 0.
-2, -1, -3/8, 0, 1
Factor p**5 + 8*p**4 + 5*p**3 - 14*p**2.
p**2*(p - 1)*(p + 2)*(p + 7)
Suppose n**2/8 - 621*n/8 + 619/4 = 0. What is n?
2, 619
Factor u**5 - 11*u**4 - 56*u**3 + 436*u**2 + 2080*u + 1600.
(u - 10)**2*(u + 1)*(u + 4)**2
Find c, given that -c**5/11 + 7*c**4/11 - c**3 - 7*c**2/11 + 12*c/11 = 0.
-1, 0, 1, 3, 4
What is a in 5*a**2 - 65*a = 0?
0, 13
Factor -245*i**2 - 1680*i - 2880.
-5*(7*i + 24)**2
Factor -k**3/2 + 5*k**2/2 - 4*k + 2.
-(k - 2)**2*(k - 1)/2
What is j in j**2/3 + 58*j + 2523 = 0?
-87
Suppose -25*i**5/6 + 355*i**4/3 + 335*i**3/3 - 3340*i**2/3 - 1335*i/2 + 435 = 0. Calculate i.
-3, -1, 2/5, 3, 29
Determine l, given that 2*l**4 + 14*l**3 - 120*l**2 = 0.
-12, 0, 5
Factor 4*p**4 - 168*p**3 + 1920*p**2 - 3200*p.
4*p*(p - 20)**2*(p - 2)
Determine n, given that 35*n**4/4 - 45*n**3/4 - 1145*n**2/4 - 1875*n/4 + 315/2 = 0.
-3, 2/7, 7
Solve k**2 - 73*k - 830 = 0 for k.
-10, 83
Factor 4*l**4/7 + 60*l**3/7 - 216*l**2/7.
4*l**2*(l - 3)*(l + 18)/7
Determine b, given that -5*b**4 + 60*b**3 - 15*b**2 - 1040*b - 960 = 0.
-3, -1, 8
Factor 5*o**3 + 135*o**2.
5*o**2*(o + 27)
Factor -w**2 + 4352*w - 4734976.
-(w - 2176)**2
Suppose -3*a**3 - 15*a**2 - 12*a = 0. What is a?
-4, -1, 0
Find s such that 63*s**2 - 65*s + 2 = 0.
2/63, 1
Factor 2*u**3/5 - 22*u**2 + 1664*u/5 - 4056/5.
2*(u - 26)**2*(u - 3)/5
Factor -3*q**3 + 15*q**2.
-3*q**2*(q - 5)
Factor -3*v**3/7 - 6*v**2/7 + 9*v/7.
-3*v*(v - 1)*(v + 3)/7
Factor t**4/2 + 11*t**3 - 187*t**2/2 + 226*t - 174.
(t - 3)*(t - 2)**2*(t + 29)/2
Suppose 3*p**3/5 + 117*p**2/5 - 216*p - 11340 = 0. Calculate p.
-30, 21
Factor -k**3/4 - 372*k**2 - 184512*k - 30505984.
-(k + 496)**3/4
Suppose -g**5 + 44*g**4 - 42*g**3 - 44*g**2 + 43*g = 0. What is g?
