ctor -r**4/2 + 4*r**3 - 17*r**2/2 + 5*r.
-r*(r - 5)*(r - 2)*(r - 1)/2
Suppose -a**4/4 + a**3/2 + 7*a**2/4 - 5*a + 3 = 0. What is a?
-3, 1, 2
Factor 3*j**2 + 30*j - 33.
3*(j - 1)*(j + 11)
Factor -5*g**3 + 40*g**2 - 25*g - 70.
-5*(g - 7)*(g - 2)*(g + 1)
Find y such that 5*y**3 - 75*y**2 + 115*y + 195 = 0.
-1, 3, 13
Let i**2 - 69*i + 1058 = 0. Calculate i.
23, 46
Factor -4*s**5/3 + 596*s**4/3 + 808*s**3 + 3656*s**2/3 + 2444*s/3 + 204.
-4*(s - 153)*(s + 1)**4/3
Let 2*n**3/9 + 140*n**2/9 - 1000*n/9 - 50000/3 = 0. What is n?
-50, 30
Factor -2*r**3/15 - 58*r**2/3 + 620*r/3.
-2*r*(r - 10)*(r + 155)/15
Solve -2*k**2/3 - 3780*k - 5358150 = 0.
-2835
Factor -5*h**2 - 420*h - 2340.
-5*(h + 6)*(h + 78)
Factor -8*q**3 - 6688*q**2 - 6682*q - 1670.
-2*(q + 835)*(2*q + 1)**2
Factor -3*q**3 + 84*q**2 - 471*q + 630.
-3*(q - 21)*(q - 5)*(q - 2)
Let -y**2 - 1948*y/5 + 156 = 0. What is y?
-390, 2/5
Determine t so that t**4 + 7*t**3 + 16*t**2 + 12*t = 0.
-3, -2, 0
Find h, given that -2*h**2 + h = 0.
0, 1/2
Factor -k**5/11 + 7*k**4 - 2107*k**3/11 + 25039*k**2/11 - 134456*k/11 + 268912/11.
-(k - 28)**2*(k - 7)**3/11
Find n such that -4*n**4 - 44*n**3 - 172*n**2 - 276*n - 144 = 0.
-4, -3, -1
Find w, given that w**2/4 - 119*w + 14161 = 0.
238
Factor -2*n**2 + 114*n - 112.
-2*(n - 56)*(n - 1)
Let a**4 + 6*a**3 - 15*a**2 + 8*a = 0. What is a?
-8, 0, 1
Find v, given that 3*v**5 - 6*v**4 - 9*v**3 + 24*v**2 - 12*v = 0.
-2, 0, 1, 2
Solve 98*u**5/3 - 28*u**4 - 26*u**3/3 + 4*u**2 = 0.
-3/7, 0, 2/7, 1
Factor -7*v**4 + 194*v**3 - 840*v**2 - 7424*v - 2048.
-(v - 16)**2*(v + 4)*(7*v + 2)
Factor -v**2/5 - 992*v/5 - 991/5.
-(v + 1)*(v + 991)/5
Factor -2*h**4/19 - 34*h**3/19.
-2*h**3*(h + 17)/19
Factor 3*q**2 - 48*q + 192.
3*(q - 8)**2
Suppose 2*b**3 + 56*b**2 - 58*b = 0. Calculate b.
-29, 0, 1
Factor 5*f**2 - 65*f - 240.
5*(f - 16)*(f + 3)
Factor -4*w**4 + 140*w**3 - 448*w**2 - 1488*w.
-4*w*(w - 31)*(w - 6)*(w + 2)
Factor -3*z**3 - 159*z**2 + 5112*z - 33264.
-3*(z - 12)**2*(z + 77)
Let -2*p**2/7 + 908*p/7 + 130 = 0. Calculate p.
-1, 455
Let q**3/5 - 3*q**2/5 - 24*q/5 - 28/5 = 0. What is q?
-2, 7
Find q, given that 18*q**5 + 6*q**4 - 82*q**3 - 46*q**2 + 64*q + 40 = 0.
-5/3, -1, -2/3, 1, 2
Solve 39*k**4/5 - 360*k**3 + 276*k**2/5 = 0 for k.
0, 2/13, 46
Let j**5/3 + 38*j**4/3 - 121*j**3/3 + 82*j**2/3 = 0. What is j?
-41, 0, 1, 2
Find r such that -12*r**5 - 20*r**4 + 16*r**3 + 16*r**2 = 0.
-2, -2/3, 0, 1
Factor -3*o**5/5 + 3*o**3/5.
-3*o**3*(o - 1)*(o + 1)/5
What is h in h**4/6 + h**3/3 - h/3 - 1/6 = 0?
-1, 1
Determine h, given that -3*h**4 + 480*h**3 + 2952*h**2 + 5952*h + 3984 = 0.
-2, 166
What is k in 2*k**5/5 + 18*k**4/5 + 28*k**3/5 = 0?
-7, -2, 0
Determine f so that -2*f**4/3 - 40*f**3/3 - 46*f**2 + 60*f = 0.
-15, -6, 0, 1
Factor 2*s**5/17 - 254*s**4/17 - 514*s**3/17 - 258*s**2/17.
2*s**2*(s - 129)*(s + 1)**2/17
Factor -2*g**3/7 + 340*g**2/7 - 14450*g/7.
-2*g*(g - 85)**2/7
Determine x, given that x**4 + 359*x**3/5 + 633*x**2/5 + 209*x/5 - 14 = 0.
-70, -1, 1/5
Determine n so that -10*n**5/3 + 214*n**4/3 - 644*n**3/3 + 584*n**2/3 - 48*n = 0.
0, 2/5, 1, 2, 18
Let 3*n**5/7 + 78*n**4/7 - 24*n**3 = 0. What is n?
-28, 0, 2
Solve -5*z**2 - 255*z + 260 = 0 for z.
-52, 1
Solve -18*w**2/5 - 46*w - 728/5 = 0 for w.
-7, -52/9
Factor -d**4/4 - 15*d**3 - 479*d**2/2 - 435*d - 841/4.
-(d + 1)**2*(d + 29)**2/4
Factor -4*y**3 - 60*y**2 + 16*y + 240.
-4*(y - 2)*(y + 2)*(y + 15)
Factor y**2/3 + 103*y/3 + 310.
(y + 10)*(y + 93)/3
Find z, given that -5*z**2 - 355*z + 730 = 0.
-73, 2
Determine p so that 2*p**3/9 - 98*p**2/9 + 190*p/9 - 94/9 = 0.
1, 47
Let 3*b**4/2 - 117*b**3/2 + 111*b**2 = 0. What is b?
0, 2, 37
Determine c so that -13500*c**5 - 2700*c**4 - 180*c**3 - 4*c**2 = 0.
-1/15, 0
Find g, given that 3*g**2 + 240*g - 2403 = 0.
-89, 9
Solve -j**4/4 + 7*j**3/4 + 47*j**2 + 45*j = 0 for j.
-10, -1, 0, 18
Find c, given that 3*c**3/2 + 57*c**2 + 1443*c/2 + 3042 = 0.
-13, -12
Find q, given that 140*q**4/3 - 12288*q**3 + 2414032*q**2/3 + 556160*q + 92928 = 0.
-2/5, -2/7, 132
Suppose -i**3/2 - 473*i**2/2 - 28084*i - 27848 = 0. Calculate i.
-236, -1
Let -2*j**2/3 + 226*j/3 - 872/3 = 0. Calculate j.
4, 109
Factor -2*q**2/5 - 3364*q/5.
-2*q*(q + 1682)/5
Suppose -2*q**4/17 + 120*q**3/17 - 1792*q**2/17 - 480*q/17 + 7200/17 = 0. What is q?
-2, 2, 30
Factor -a**4/4 - 43*a**3/4 - 315*a**2/2 - 833*a - 686.
-(a + 1)*(a + 14)**3/4
Factor 2*a**2/3 - 22*a/3 - 8.
2*(a - 12)*(a + 1)/3
Find m, given that 3*m**5 + 45*m**4 + 237*m**3 + 495*m**2 + 300*m = 0.
-5, -4, -1, 0
Factor 3*s**2 + 477*s - 1458.
3*(s - 3)*(s + 162)
What is k in -3*k**3/4 + 123*k**2/4 + 339*k/2 + 138 = 0?
-4, -1, 46
Factor 3*q**2/5 + 1710*q + 1218375.
3*(q + 1425)**2/5
Let v**3/8 + 3*v**2 - 51*v/8 + 13/4 = 0. Calculate v.
-26, 1
Find v, given that -7*v**5/2 - 43*v**4 - 311*v**3/2 - 188*v**2 - 42*v = 0.
-7, -3, -2, -2/7, 0
Solve -4*c**4 + 40*c**3 + 100*c**2 - 40*c - 96 = 0 for c.
-2, -1, 1, 12
What is r in r**2 - 11*r + 10 = 0?
1, 10
Let -4*u**5/3 + 76*u**4/3 - 152*u**3 + 1024*u**2/3 - 640*u/3 = 0. What is u?
0, 1, 4, 10
Determine a so that a**3/6 - 3*a/2 = 0.
-3, 0, 3
Let -3*n**4/8 - 27*n**3/4 - 231*n**2/8 + 27*n + 243/2 = 0. Calculate n.
-9, -2, 2
Determine x so that -2*x**2/7 - 6556*x/7 - 5372642/7 = 0.
-1639
Factor p**4/6 + 628*p**3/3 + 197192*p**2/3.
p**2*(p + 628)**2/6
Find s, given that -16*s**2 + 316*s - 228 = 0.
3/4, 19
Factor 2*t**3 - 136*t**2 - 1738*t.
2*t*(t - 79)*(t + 11)
Factor -t**2/6 - 7*t/3 - 49/6.
-(t + 7)**2/6
Factor -s**5 + 21*s**4 - 163*s**3 + 579*s**2 - 952*s + 588.
-(s - 7)**2*(s - 3)*(s - 2)**2
Factor z**4 - 4*z**3 - 19*z**2 - 14*z.
z*(z - 7)*(z + 1)*(z + 2)
Factor -u**3/2 - 23*u**2 + 197*u/2 - 75.
-(u - 3)*(u - 1)*(u + 50)/2
Factor 2*r**4/13 + 14*r**3/13.
2*r**3*(r + 7)/13
Factor 6*h**4/5 + 12*h**3/5 - 42*h**2/5 - 24*h - 72/5.
6*(h - 3)*(h + 1)*(h + 2)**2/5
Factor -4*z**3/7 - 2872*z**2/7 - 5732*z/7 - 2864/7.
-4*(z + 1)**2*(z + 716)/7
Determine q, given that q**3/2 - 254*q**2 - 2056*q - 4128 = 0.
-4, 516
Let 3*u**5/2 + 33*u**4/2 + 63*u**3 + 81*u**2 - 81*u/2 - 243/2 = 0. What is u?
-3, 1
Solve 6*v**2 - 16*v - 6 = 0 for v.
-1/3, 3
Solve -5*z**3 - 5*z**2 + 10*z = 0 for z.
-2, 0, 1
Factor 3*w**4 + 24*w**3 + 72*w**2 + 96*w + 48.
3*(w + 2)**4
Find v, given that 3*v**2/8 + 843*v/8 + 2877/4 = 0.
-274, -7
Let -18*w**5 - 168*w**4 + 136*w**3 + 148*w**2 - 118*w + 20 = 0. What is w?
-10, -1, 1/3, 1
Determine d so that 5*d**3 - 1305*d**2 + 1300*d = 0.
0, 1, 260
Factor -j**3 - 124*j**2 + 1040*j - 2112.
-(j - 4)**2*(j + 132)
Factor 6*p**2 + 328*p/3 + 24.
2*(p + 18)*(9*p + 2)/3
Let -5*w**5 + 100*w**4 - 90*w**3 - 100*w**2 + 95*w = 0. What is w?
-1, 0, 1, 19
Suppose 2*d**4/17 + 50*d**3/17 + 48*d**2/17 = 0. What is d?
-24, -1, 0
Solve -5*l**2 - 100*l = 0.
-20, 0
Factor 2*h**3/5 - 66*h**2/5 + 126*h/5 - 62/5.
2*(h - 31)*(h - 1)**2/5
Factor o**3/4 + 41*o**2/2 + 399*o - 882.
(o - 2)*(o + 42)**2/4
Let -3*u**3 - 9*u**2 + 27*u - 15 = 0. What is u?
-5, 1
Factor -14*p**2 - 452*p - 128.
-2*(p + 32)*(7*p + 2)
What is a in -4*a**5/7 - 28*a**4 + 8*a**3/7 + 56*a**2 - 4*a/7 - 28 = 0?
-49, -1, 1
Find j such that j**5/3 + 4*j**4 + 17*j**3/3 - 38*j**2/3 - 28*j - 40/3 = 0.
-10, -2, -1, 2
Factor -2*a**3/13 + 76*a**2/13 - 144*a/13.
-2*a*(a - 36)*(a - 2)/13
What is q in 4*q**5/3 + 572*q**4/3 + 9212*q**3 + 468308*q**2/3 + 830584*q/3 = 0?
-47, -2, 0
Solve 26*l**2/9 - 16*l/3 - 8/9 = 0.
-2/13, 2
Factor 12*b**5 + 33*b**4 - 9*b**3.
3*b**3*(b + 3)*(4*b - 1)
Let -f**2 - 6*f + 40 = 0. What is f?
-10, 4
Suppose 3*n**2 - 18336*n + 28017408 = 0. Calculate n.
3056
Let -l**4/2 + 2*l**3 + 23*l**2 - 2*l - 45/2 = 0. Calculate l.
-5, -1, 1, 9
Factor -2*r**5/19 - 10*r**4/19 - 18*r**3/19 - 14*r**2/19 - 4*r/19.
-2*r*(r + 1)**3*(r + 2)/19
Find q, given that 2*q**3 + 28*q**2/3 - 14*q/3 - 20/3 = 0.
-5, -2/3, 1
Factor -2*h**3 - 36*h**2 + 168*h + 3920.
-2*(h - 10)*(h + 14)**2
Factor 123*l**3 - 117*l**2 - 6*l.
3*l*(l - 1)*(41*l + 2)
Factor i**5/3 + i**4/3.
i**4*(i + 1)/3
Solve -2*o**5 - 328*o**4/9 - 118*o**3 + 104*o**2/9 + 120*o + 224/9 = 0 for o.
-14, -4, -1, -2/9, 1
Factor 2*v**4/17 - 2*v**3 + 90*v**2/17 - 86*v/17 + 28/17.
2*(v - 14)*(v - 1)**3/17
Let 2*m**2 - 176*m - 178 = 0. Calculate m.
-1, 89
Factor -2*h**2 - 52*h - 96.
-2*(h + 2)*(h + 24)
Solve -4*g**5/7 + 12*g**4/7 + 40*g**3/7 + 8*g**2/7 -