 72
Suppose 2*l**3 - 36*l**2 + 66*l - 32 = 0. What is l?
1, 16
Suppose p**4 - 3*p**3 - 9*p**2 - 5*p = 0. What is p?
-1, 0, 5
Determine r, given that r**4/4 + 11*r**3/2 + 42*r**2 + 128*r + 128 = 0.
-8, -4, -2
Find k such that -63*k**3/2 + 907*k**2/2 - 176*k + 14 = 0.
1/9, 2/7, 14
Factor 5*w**2/2 - 15*w/2.
5*w*(w - 3)/2
Factor -4*o**2/3 + 68*o/3 + 152/3.
-4*(o - 19)*(o + 2)/3
Suppose -n**4 - 194*n**3 - 9601*n**2 - 18624*n - 9216 = 0. What is n?
-96, -1
Determine a so that -8*a**5 - 22*a**4 + 142*a**3 + 278*a**2 + 82*a - 40 = 0.
-5, -1, 1/4, 4
Let 2*y**2/11 + 10*y/11 - 28/11 = 0. What is y?
-7, 2
Factor 5*h**2 - 170*h - 555.
5*(h - 37)*(h + 3)
Determine q, given that -q**3/3 + 7*q**2/3 + 18*q + 24 = 0.
-3, -2, 12
Factor -3*v**3/2 - 99*v**2/2 - 945*v/2 - 2025/2.
-3*(v + 3)*(v + 15)**2/2
Factor 5*c**3 + 13*c**2/2 + 3*c/2.
c*(c + 1)*(10*c + 3)/2
Factor -3*n**4 + 6*n**3 - 6*n + 3.
-3*(n - 1)**3*(n + 1)
Find j, given that 2*j**5/15 - 4*j**4/15 - 4*j**3/15 + 8*j**2/15 + 2*j/15 - 4/15 = 0.
-1, 1, 2
Find x such that x**2/10 - 154*x/5 + 11858/5 = 0.
154
Find s such that -21*s**3/4 - s**2 + 21*s/4 + 1 = 0.
-1, -4/21, 1
Solve -7*h**5 - 61*h**4 + 564*h**3 - 1360*h**2 + 1184*h - 240 = 0 for h.
-15, 2/7, 2
Factor 3*a**4 + 15*a**3 - 54*a**2 - 60*a + 168.
3*(a - 2)**2*(a + 2)*(a + 7)
What is t in t**3/5 + 7*t**2/5 + 8*t/5 - 16/5 = 0?
-4, 1
Factor 2*d**2 + 16*d - 18.
2*(d - 1)*(d + 9)
What is i in 2*i**4/11 - 54*i**3/11 + 270*i**2/11 + 1350*i/11 = 0?
-3, 0, 15
Factor 3*f**5 + 6*f**4 - 36*f**3 - 54*f**2 + 81*f.
3*f*(f - 3)*(f - 1)*(f + 3)**2
Let 14*i**4/15 + 92*i**3/15 + 22*i**2/3 = 0. What is i?
-5, -11/7, 0
Solve 4*t**4 + 13552*t**3 + 11492088*t**2 + 22943536*t + 11464996 = 0 for t.
-1693, -1
Factor a**4 - 22*a**3 + 60*a**2 - 58*a + 19.
(a - 19)*(a - 1)**3
Suppose -3*d**5/8 + 23*d**4/8 - 19*d**3/8 - 63*d**2/8 - 9*d/4 = 0. What is d?
-1, -1/3, 0, 3, 6
Determine o, given that 2*o**2/9 + 6692*o/9 = 0.
-3346, 0
Let -3*s**2 - 5406*s + 5409 = 0. What is s?
-1803, 1
Factor 5*r**3 - 305*r**2 + 300*r.
5*r*(r - 60)*(r - 1)
Let b**5/4 + 197*b**4/2 + 9503*b**3 - 78605*b**2/2 + 118803*b/4 = 0. Calculate b.
-199, 0, 1, 3
Suppose 4*q**5 + 180*q**4 - 1252*q**3 - 1428*q**2 = 0. What is q?
-51, -1, 0, 7
What is t in 2*t**3 + 2*t**2 - 372*t + 720 = 0?
-15, 2, 12
Factor -2*f**4 + 124*f**3/3 - 242*f**2/9 + 40*f/9.
-2*f*(f - 20)*(3*f - 1)**2/9
Find l, given that -2*l**3/7 + 440*l**2 - 169400*l = 0.
0, 770
Determine t, given that 4*t**3 + 12*t**2 + 8*t = 0.
-2, -1, 0
Find i, given that 980*i**2 + 224*i + 64/5 = 0.
-4/35
What is g in -4*g**2 + 36 = 0?
-3, 3
Let y**2 - 42*y - 135 = 0. Calculate y.
-3, 45
Factor 3*j**3 + 156*j**2 + 588*j + 576.
3*(j + 2)**2*(j + 48)
Find w, given that -w**2/8 + 961*w/4 - 923521/8 = 0.
961
Suppose -5*h**2 - 235*h - 230 = 0. Calculate h.
-46, -1
Find n, given that n**4 - 6*n**3 + 5*n**2 = 0.
0, 1, 5
Suppose -i**5/9 - 5*i**4/3 - 19*i**3/3 - 73*i**2/9 - 10*i/3 = 0. What is i?
-10, -3, -1, 0
Determine c, given that c**4/2 + 3*c**3/2 - 2*c = 0.
-2, 0, 1
Suppose 2*k**3/5 + 46*k**2/5 + 152*k/5 = 0. What is k?
-19, -4, 0
Solve t**3/2 - 21*t**2 + 279*t/2 - 119 = 0 for t.
1, 7, 34
Factor -3*l**2 + 87*l + 90.
-3*(l - 30)*(l + 1)
Find b, given that -4*b**2 + 4*b + 120 = 0.
-5, 6
Suppose 4*j**2 + 1720*j + 184900 = 0. Calculate j.
-215
Factor -2*x**4 + 12*x**3 + 16*x**2 - 12*x - 14.
-2*(x - 7)*(x - 1)*(x + 1)**2
Factor -2*m**2/9 + 8*m/9.
-2*m*(m - 4)/9
Let 3*b**3/5 + 1119*b**2/5 + 2229*b/5 + 1113/5 = 0. Calculate b.
-371, -1
Factor -l**3/3 + 64*l**2/3 + 45*l - 66.
-(l - 66)*(l - 1)*(l + 3)/3
Determine c, given that -1734489*c**2 - 5268*c - 4 = 0.
-2/1317
Determine d, given that -2*d**4/3 + 46*d**3/9 - 62*d**2/9 + 10*d/9 + 4/3 = 0.
-1/3, 1, 6
Determine l so that -5*l**2 - 7135*l = 0.
-1427, 0
Determine u so that u**2/2 - 8*u - 57/2 = 0.
-3, 19
Factor -2*w**4/3 - 190*w**3 - 17654*w**2 - 1486622*w/3 + 3650692.
-2*(w - 6)*(w + 97)**3/3
Determine g so that -2*g**3/9 + 22*g**2/9 + 80*g/9 + 56/9 = 0.
-2, -1, 14
Factor -4*w**3 - 652*w**2 + 1316*w - 660.
-4*(w - 1)**2*(w + 165)
Solve 15*o**4 + 2855*o**3 + 935*o**2 - 2855*o - 950 = 0.
-190, -1, -1/3, 1
Factor -x**4/3 - 12*x**3 - 34*x**2 - 100*x/3 - 11.
-(x + 1)**3*(x + 33)/3
Let 450*n**5/7 - 5730*n**4/7 + 8798*n**3/7 - 2294*n**2/7 - 1136*n/7 - 88/7 = 0. Calculate n.
-2/15, 1, 11
Suppose -2*h**5 + 172*h**4 + 176*h**3 - 172*h**2 - 174*h = 0. What is h?
-1, 0, 1, 87
Factor -3*u**4 - 3*u**3 + 12*u**2 + 12*u.
-3*u*(u - 2)*(u + 1)*(u + 2)
Let -4*k**5 + 20*k**4 - 24*k**3 - 8*k**2 + 28*k - 12 = 0. What is k?
-1, 1, 3
Factor n**2 + 15*n + 54.
(n + 6)*(n + 9)
Find m such that -2*m**3/17 + 636*m**2/17 - 67416*m/17 + 2382032/17 = 0.
106
Factor -4*g**2/7 + 512*g/7 + 1040/7.
-4*(g - 130)*(g + 2)/7
Factor 2*r**5 + 12*r**4 + 26*r**3 + 24*r**2 + 8*r.
2*r*(r + 1)**2*(r + 2)**2
Factor 21*q**2/5 - 156*q/5 + 36.
3*(q - 6)*(7*q - 10)/5
Find c such that -c**3/6 - 59*c**2/6 + 31*c/3 + 20 = 0.
-60, -1, 2
Determine v so that v**2/6 - 47*v/6 - 8 = 0.
-1, 48
Solve -2*o**3/17 - 228*o**2/17 - 6498*o/17 = 0.
-57, 0
Let -4*u**4/3 - 26*u**3/3 - 32*u**2/3 - 10*u/3 = 0. What is u?
-5, -1, -1/2, 0
Find v, given that -125*v**5 - 1350*v**4 - 5145*v**3 - 8000*v**2 - 4260*v - 720 = 0.
-4, -3, -2/5
Factor -2*b**2/5 + 34*b/5 + 36/5.
-2*(b - 18)*(b + 1)/5
Solve -5*s**5 + 60*s**4 - 100*s**3 - 550*s**2 + 105*s + 490 = 0.
-2, -1, 1, 7
Factor -3*h**4 + 12*h**2.
-3*h**2*(h - 2)*(h + 2)
Find u such that -2*u**4/11 + 8*u**3/11 + 38*u**2/11 + 28*u/11 = 0.
-2, -1, 0, 7
Let -2*l**3 - 822*l**2/7 + 236*l/7 = 0. What is l?
-59, 0, 2/7
Factor 2*x**4 - 584*x**3 + 1162*x**2 - 580*x.
2*x*(x - 290)*(x - 1)**2
Factor 2*o**2 - 32*o + 30.
2*(o - 15)*(o - 1)
Determine d so that 4*d**5 + 160*d**4 + 1216*d**3 + 3208*d**2 + 3388*d + 1240 = 0.
-31, -5, -2, -1
Factor 2*x**2/15 + 42*x/5 + 24.
2*(x + 3)*(x + 60)/15
What is i in 7*i**4 + 37*i**3 + 59*i**2 + 35*i + 6 = 0?
-3, -1, -2/7
Determine f so that 3*f**3/5 + 69*f**2/5 - 312*f/5 + 324/5 = 0.
-27, 2
Find i such that i**5/7 + 2*i**4/7 - i**3 + 4*i**2/7 = 0.
-4, 0, 1
Factor 4*o**3 - 916*o**2 + 6240*o - 5328.
4*(o - 222)*(o - 6)*(o - 1)
Suppose -3*j**4/5 + 9*j**3/5 + 39*j**2/5 - 153*j/5 + 108/5 = 0. What is j?
-4, 1, 3
What is y in 3*y**2/2 - 117*y + 4563/2 = 0?
39
Determine w so that -w**4/4 + 9*w**3/2 - 97*w**2/4 + 36*w - 16 = 0.
1, 8
Factor -9*h**4/4 - 33*h**3/4 - 6*h**2 + 3*h.
-3*h*(h + 2)**2*(3*h - 1)/4
Determine c, given that 3*c**2 + 27*c + 60 = 0.
-5, -4
Factor 9*c**3 - 29*c**2 - 480*c + 108.
(c - 9)*(c + 6)*(9*c - 2)
Determine d, given that 5*d**2 + 310*d + 2385 = 0.
-53, -9
Factor 5*s**3 - 65*s**2 + 195*s - 135.
5*(s - 9)*(s - 3)*(s - 1)
Suppose -2*m**2 + 12*m = 0. What is m?
0, 6
Factor -2*k**3/11 - 6*k**2/11 - 4*k/11.
-2*k*(k + 1)*(k + 2)/11
Determine d so that -d**5/3 - 43*d**4/3 + 18*d**3 + 448*d**2/3 + 352*d/3 = 0.
-44, -2, -1, 0, 4
Suppose -p**5 + 66*p**4 - 1214*p**3 + 4156*p**2 - 4929*p + 1922 = 0. What is p?
1, 2, 31
Suppose 4*f**5 + 16*f**4 + 4*f**3 - 24*f**2 = 0. What is f?
-3, -2, 0, 1
Suppose 2*b**2/11 - 68*b/11 + 6 = 0. What is b?
1, 33
Let -30*j**5/7 - 61*j**4/7 - 2*j**3/7 + 60*j**2/7 + 32*j/7 + 1/7 = 0. Calculate j.
-1, -1/30, 1
Factor -3*v**3 + 24*v**2 + 111*v - 132.
-3*(v - 11)*(v - 1)*(v + 4)
Factor 2*g**2/13 - 58*g/13 + 12.
2*(g - 26)*(g - 3)/13
Suppose 14*z**2 - 626*z - 180 = 0. Calculate z.
-2/7, 45
Determine m so that -3*m**2 - 30*m - 48 = 0.
-8, -2
Solve 4*t**2/3 + 112*t + 2352 = 0.
-42
Determine x, given that 3*x**3 - 3189*x**2 + 845880*x + 849072 = 0.
-1, 532
Find i such that -2*i**3/3 - 35*i**2/3 - 49*i/3 - 16/3 = 0.
-16, -1, -1/2
Factor 3*o**3/2 - 30*o**2 + 102*o - 96.
3*(o - 16)*(o - 2)**2/2
Factor -5*y**4 + 65*y**3 - 60*y**2.
-5*y**2*(y - 12)*(y - 1)
Factor 2*h**3 + 794*h**2 - 8090*h + 20350.
2*(h - 5)**2*(h + 407)
Determine y, given that 3*y**4 + 30*y**3 - 3*y**2 - 246*y + 216 = 0.
-9, -4, 1, 2
Solve -2*v**4/3 + 6*v**3 + 128*v**2/3 + 56*v = 0 for v.
-3, -2, 0, 14
Determine i so that 2*i**5/5 + 222*i**4/5 + 868*i**3/5 + 1292*i**2/5 + 858*i/5 + 214/5 = 0.
-107, -1
Factor -t**3/3 + t**2/3.
-t**2*(t - 1)/3
Suppose -285*s**4 - 730*s**3 - 300*s**2 + 40*s = 0. What is s?
-2, -2/3, 0, 2/19
Let 4*y**2 + 5920*y + 2190400 = 0. Calculate y.
-740
Factor -p**4/4 - p**3/2 + 15*p**2/4 - p - 5.
-(p - 2)**2*(p + 1)*(p + 5)