64
Factor 2*h**3/3 - 28*h**2/3 - 1054*h/3.
2*h*(h - 31)*(h + 17)/3
Factor 2*t**3/3 + 152*t**2/3 - 2*t/3 - 152/3.
2*(t - 1)*(t + 1)*(t + 76)/3
Let -d**5/7 - 5*d**4 + 117*d**3/7 + 103*d**2/7 - 412*d/7 + 228/7 = 0. Calculate d.
-38, -2, 1, 3
Let -3*v**4/5 + 3*v**3/5 + 18*v**2/5 - 12*v/5 - 24/5 = 0. What is v?
-2, -1, 2
What is f in f**3 + 8*f**2 + f - 42 = 0?
-7, -3, 2
Factor -10*h**2/9 - 46*h/9 + 20/9.
-2*(h + 5)*(5*h - 2)/9
Find b, given that b**2/7 + 7*b - 156/7 = 0.
-52, 3
Determine o, given that 21*o**3 - 36*o**2 - 75*o - 18 = 0.
-1, -2/7, 3
Find k such that -20*k**2 - 745*k - 185 = 0.
-37, -1/4
Find x, given that 2*x**3 + 2262*x**2 + 852774*x + 107165266 = 0.
-377
Suppose -4*m**4 + 1768*m**3 + 4*m**2 - 1768*m = 0. Calculate m.
-1, 0, 1, 442
Factor 2*h**2/15 + 574*h/15.
2*h*(h + 287)/15
Suppose 2*t**2/7 - 108*t/7 + 1458/7 = 0. What is t?
27
Factor q**2 - 179*q + 178.
(q - 178)*(q - 1)
Suppose 21*i**5 + 201*i**4 + 162*i**3 - 1620*i**2 + 648*i = 0. Calculate i.
-6, 0, 3/7, 2
Solve 3*y**3 + 153*y**2 + 2025*y + 1875 = 0 for y.
-25, -1
Determine t, given that 6*t**5/5 + 14*t**4 + 218*t**3/5 + 10*t**2 - 224*t/5 - 24 = 0.
-6, -5, -1, -2/3, 1
Suppose 5*x**2 + 5*x - 30 = 0. Calculate x.
-3, 2
Factor 4*m**2 + 292*m - 296.
4*(m - 1)*(m + 74)
Suppose 2*a**3/5 + 1334*a**2/5 + 44086*a - 134670 = 0. What is a?
-335, 3
Suppose a**3/6 + 4*a**2/3 - 3*a/2 - 12 = 0. Calculate a.
-8, -3, 3
Factor -5*t**2 + 330*t - 325.
-5*(t - 65)*(t - 1)
Determine o, given that o**3/3 - 32*o**2/3 + 221*o/3 + 578/3 = 0.
-2, 17
Factor -d**2 - 73*d - 210.
-(d + 3)*(d + 70)
Factor 4*v**2/5 - 159*v - 199/5.
(v - 199)*(4*v + 1)/5
Factor -2*g**3/7 - 26*g**2/7 + 80*g/7 + 200.
-2*(g - 7)*(g + 10)**2/7
Factor -2*r**4 - 24*r**3 - 70*r**2 + 24*r + 72.
-2*(r - 1)*(r + 1)*(r + 6)**2
Factor 5*r**3 - 30*r**2 + 45*r.
5*r*(r - 3)**2
Suppose -119*j**2 - 593*j + 10 = 0. Calculate j.
-5, 2/119
Suppose -3*b**2 + 468*b + 7140 = 0. What is b?
-14, 170
Let 5*i**4 + 60*i**3 - 175*i**2 - 510*i - 280 = 0. What is i?
-14, -1, 4
Factor 2*o**3/5 - 34*o**2/5 + 22*o/5 + 242.
2*(o - 11)**2*(o + 5)/5
Factor -s**4 + 14*s**3 - 32*s**2 - 128*s.
-s*(s - 8)**2*(s + 2)
Factor -3*l**3 - 39*l**2 - 144*l - 108.
-3*(l + 1)*(l + 6)**2
Suppose -k**2/9 - 245*k/9 + 494/9 = 0. What is k?
-247, 2
Factor -2*h**3/5 + 262*h**2 - 213856*h/5 - 215168/5.
-2*(h - 328)**2*(h + 1)/5
Find g, given that -15*g**4 - 65*g**3 - 95*g**2 - 55*g - 10 = 0.
-2, -1, -1/3
Solve m**2 - 101*m - 312 = 0 for m.
-3, 104
Determine l, given that 3*l**2/7 - 9*l/7 = 0.
0, 3
Factor i**2 - 1305*i - 2614.
(i - 1307)*(i + 2)
Factor 2*n**3/13 - 14*n**2/13 - 8*n/13 + 56/13.
2*(n - 7)*(n - 2)*(n + 2)/13
Factor -t**3/3 + 155*t**2 - 462*t.
-t*(t - 462)*(t - 3)/3
What is y in 4*y**4 + 36*y**3 + 32*y**2 = 0?
-8, -1, 0
Solve -172*z**4/3 + 184*z**3 - 208*z**2 + 280*z/3 - 12 = 0 for z.
9/43, 1
Let 5*d**5 - 20*d**3 - 10*d**2 + 15*d + 10 = 0. What is d?
-1, 1, 2
Factor -w**2/10 - 9*w/10 + 19.
-(w - 10)*(w + 19)/10
Factor 6*w**3/5 - 78*w**2/5 + 264*w/5 - 192/5.
6*(w - 8)*(w - 4)*(w - 1)/5
Let 5*i**3 + 40*i**2 - 45*i = 0. Calculate i.
-9, 0, 1
Factor 3*l**2/7 - 1866*l/7 + 290163/7.
3*(l - 311)**2/7
Factor -2*t**2 + 2800*t - 980000.
-2*(t - 700)**2
What is m in -4*m**2 + 1256*m - 98596 = 0?
157
Factor -5*c**5 - 10*c**4 + 75*c**3.
-5*c**3*(c - 3)*(c + 5)
Find n such that -4*n**5 + n**4 + 24*n**3 - 38*n**2 + 20*n - 3 = 0.
-3, 1/4, 1
Factor -b**3/2 + 3*b**2/2 - 2.
-(b - 2)**2*(b + 1)/2
Solve -m**2 + 58*m/3 - 55/3 = 0 for m.
1, 55/3
Solve 3*c**5/2 + 4*c**4 - 10*c**3 - 35*c**2 - 63*c/2 - 9 = 0.
-3, -1, -2/3, 3
Factor -2*x**2/11 - 50*x/11 - 228/11.
-2*(x + 6)*(x + 19)/11
Factor 4*l**4 + 16*l**3 + 20*l**2 + 8*l.
4*l*(l + 1)**2*(l + 2)
Let -8*k**5/3 - 19*k**4/3 + 218*k**3/3 - 284*k**2/3 + 10*k + 21 = 0. What is k?
-7, -3/8, 1, 3
Let -2*u**5/7 - 248*u**4/7 - 1062*u**3 + 2268*u**2 = 0. Calculate u.
-63, 0, 2
Factor -q**4/9 - 166*q**3/9 - 6721*q**2/9 + 4648*q/3 - 784.
-(q - 1)**2*(q + 84)**2/9
Solve 10*f**5/11 - 12*f**4/11 - 28*f**3/11 + 16*f**2/11 + 18*f/11 - 4/11 = 0.
-1, 1/5, 1, 2
Determine u, given that 2*u**4 - 42*u**3 - 2*u**2 + 42*u = 0.
-1, 0, 1, 21
Factor -2*d**2/7 + 186*d/7.
-2*d*(d - 93)/7
Factor -2*p**3/3 + 742*p**2/3 - 22816*p - 23064.
-2*(p - 186)**2*(p + 1)/3
Suppose -3*a**4/8 + 3*a**3/8 + 9*a**2/4 = 0. What is a?
-2, 0, 3
Determine d, given that 5*d**2 + 70*d - 475 = 0.
-19, 5
Solve -14*w**5/9 - 172*w**4/9 - 2*w**3/3 + 544*w**2/9 + 488*w/9 + 32/3 = 0 for w.
-12, -1, -2/7, 2
Solve -k**2/9 + 442*k/9 - 48841/9 = 0.
221
Factor 3*h**2/8 - 1272*h + 1078656.
3*(h - 1696)**2/8
Factor j**4/5 + 19*j**3/5 - 3*j**2/5 - 11*j + 38/5.
(j - 1)**2*(j + 2)*(j + 19)/5
Let -5*b**4 + 65*b**3 - 300*b**2 + 560*b - 320 = 0. Calculate b.
1, 4
Find h, given that 2*h**2 - 592*h - 594 = 0.
-1, 297
What is k in -k**5 + 5*k**4 - 6*k**3 - 4*k**2 + 8*k = 0?
-1, 0, 2
Factor 4*i**2 - 788*i + 784.
4*(i - 196)*(i - 1)
Let -l**2/3 + 166*l/3 - 6889/3 = 0. Calculate l.
83
Determine b, given that 3*b**2 - 12*b + 12 = 0.
2
Solve -24*r**5/7 - 278*r**4/7 - 356*r**3/7 + 248*r**2/7 + 80*r/7 = 0.
-10, -2, -1/4, 0, 2/3
Factor 5*f**5 - 45*f**4 + 75*f**3 + 125*f**2.
5*f**2*(f - 5)**2*(f + 1)
What is v in -v**3/7 - 52*v**2/7 + 55*v/7 + 106/7 = 0?
-53, -1, 2
Factor -4*x**3 - 28*x**2 + 32*x.
-4*x*(x - 1)*(x + 8)
Suppose -3*r**3 + 33*r**2 - 93*r + 63 = 0. Calculate r.
1, 3, 7
Factor z**4/10 - 76*z**3 + 14440*z**2.
z**2*(z - 380)**2/10
Factor 3*s**5 + 57*s**4 - 69*s**3 - 165*s**2 + 294*s - 120.
3*(s - 1)**3*(s + 2)*(s + 20)
Let 4*l**2 - 12*l + 8 = 0. Calculate l.
1, 2
Factor 166*g**3/5 + 200*g**2 + 1518*g/5 + 36/5.
2*(g + 3)**2*(83*g + 2)/5
Suppose -6*x**2 - 57*x + 63 = 0. Calculate x.
-21/2, 1
Factor 2*d**3/15 + 2*d**2/5.
2*d**2*(d + 3)/15
Factor 2*p**2 + 88*p/7 + 24/7.
2*(p + 6)*(7*p + 2)/7
What is r in -4*r**3 - 8112*r**2 + 16236*r - 8120 = 0?
-2030, 1
Let 2*v**5/17 + 2*v**4/17 - 4*v**3/17 = 0. What is v?
-2, 0, 1
Suppose -3*v**4 - 9*v**3 + 75*v**2 - 63*v = 0. Calculate v.
-7, 0, 1, 3
Let 3*h**2/2 + 4047*h + 5459403/2 = 0. Calculate h.
-1349
Let 5*y**3 + 45*y**2 + 70*y - 120 = 0. Calculate y.
-6, -4, 1
Solve -2*p**2/5 - 36*p/5 + 38/5 = 0.
-19, 1
Factor 8*i**3 + 530*i**2 - 402*i.
2*i*(i + 67)*(4*i - 3)
Find n such that n**4/2 + 11*n**3/6 - 49*n**2/6 - 13*n/2 + 3 = 0.
-6, -1, 1/3, 3
Determine u, given that u**5/7 - u**4 + 9*u**3/7 + u**2 - 10*u/7 = 0.
-1, 0, 1, 2, 5
Find n, given that -4*n**5/3 + 8*n**4/3 + 76*n**3 + 72*n**2 = 0.
-6, -1, 0, 9
Suppose c**2/5 + 7*c/5 + 6/5 = 0. What is c?
-6, -1
Suppose a**2/7 + 22*a/7 - 75/7 = 0. Calculate a.
-25, 3
Factor -3*r**4/5 - 12*r**3/5 - 12*r**2/5.
-3*r**2*(r + 2)**2/5
Let -4*p**2/3 - 16*p/3 + 20/3 = 0. Calculate p.
-5, 1
Factor 5*x**2 + 1650*x + 1645.
5*(x + 1)*(x + 329)
Factor 5*l**3 - 15825*l**2 + 16695375*l - 5871206875.
5*(l - 1055)**3
Find g such that 2*g**3/3 - 38*g**2/3 + 70*g/3 - 34/3 = 0.
1, 17
Find r, given that 2*r**2 - 32 = 0.
-4, 4
Factor -4*z**3 + 88*z**2 - 36*z - 1008.
-4*(z - 21)*(z - 4)*(z + 3)
Solve -20*z**2 - 128*z + 84 = 0.
-7, 3/5
Find q, given that 4*q**2 + 580*q + 6864 = 0.
-132, -13
Factor 2*a**3/19 + 18*a**2/19 - 24*a/19 - 40/19.
2*(a - 2)*(a + 1)*(a + 10)/19
Find a, given that 60*a**4/11 - 1006*a**3/11 - 292*a**2/11 + 898*a/11 + 340/11 = 0.
-5/6, -2/5, 1, 17
Factor -3*r**4 - 36*r**3 - 108*r**2.
-3*r**2*(r + 6)**2
Suppose -6*m**3 - 825*m**2 - 7266*m + 3840 = 0. Calculate m.
-128, -10, 1/2
Factor p**4/3 + p**3/3 - p**2 - p/3 + 2/3.
(p - 1)**2*(p + 1)*(p + 2)/3
Factor -g**2/2 - 30*g + 2125/2.
-(g - 25)*(g + 85)/2
Find x, given that 3*x**2 + 134*x - 429 = 0.
-143/3, 3
Let -57*a**2/4 + 45*a/4 + 3 = 0. Calculate a.
-4/19, 1
What is d in -2*d**3/13 + 40*d**2/13 - 136*d/13 + 128/13 = 0?
2, 16
Suppose 3*q**4/4 - 255*q**3/4 + 5427*q**2/4 - 44469*q/4 + 63423/2 = 0. Calculate q.
9, 58
Find n such that -1805*n**4/4 + 7125*n**3 - 27365*n**2 - 6000*n - 320 = 0.
-2/19, 8
Factor -5*l**4 - 70*l**3 + 160*l**2.
-5*l**2*(l - 2)*(l + 16)
Factor -2*s**2 + 1278*s.
-2*s*(s - 639)
Factor 2*p**2/15 + 284*p/15 + 278/5.
2*(p + 3)*(p + 139)/15
Let 5*l**2 + 335*l + 1260 = 0. Calculate l.
-63, -4
Factor -l**5 + 51*l**4 - 147*l**3 + 145*l**2 - 48*l.
-l*(l - 48)*(l - 1)**3
Determine a so that a**2/4 + 33*a/2 + 1089/4 = 0.
-33
Factor 3*r**3 - 33*r**2 - 3*r + 33.
3*(r - 11)*(r - 1)*(r +