 + 1/12*p**6 - 1/168*p**7 - 135*p + 0*p**2 - 33/80*p**5 + 0 + 5/6*p**4. Factor n(x).
-x*(x - 4)**2*(x - 1)**2/4
Factor 16247 + 74888 - 1464*v + 55547 + 31926 + 3*v**2.
3*(v - 244)**2
Let t(p) be the third derivative of -p**8/168 - 2*p**7/105 + p**6/30 + 4*p**5/15 + 7*p**4/12 + 2*p**3/3 + 1420*p**2. Factor t(v).
-2*(v - 2)*(v + 1)**4
Let n = 26143 - 26139. Find p, given that -2/3*p**3 - n*p**2 + 0 + 0*p = 0.
-6, 0
Let m = 1 - -5. Let i(w) = -10*w + 385. Let c be i(38). Factor -c*z**3 - 17 - 20*z**2 + 55*z + m - 19.
-5*(z - 1)**2*(z + 6)
Let c = 302 + -300. Find d, given that 1 + d + 35 - 3*d**3 - 61*d + 27*d**c = 0.
1, 2, 6
Suppose 5*a - 6 = 3*t + 3, -1 = t - a. Factor -650*o**2 - 44*o + 0*o**3 + 333*o**t + 363*o**2 - 2*o**3.
-2*o*(o - 22)*(o - 1)
Let l(d) be the third derivative of -125*d**2 - 2*d + 0*d**5 + 0*d**4 + 0*d**7 + 0*d**3 - 1/540*d**6 + 1/1512*d**8 + 0. Factor l(t).
2*t**3*(t - 1)*(t + 1)/9
Let s(u) be the second derivative of u**5/120 + 41*u**4/48 + 155*u**3/6 - 961*u**2/24 - 2*u + 5. Factor s(n).
(n + 31)**2*(2*n - 1)/12
Let w(h) be the second derivative of -h**6/30 - 3*h**5/5 - 5*h**4/3 - 1635*h. Suppose w(p) = 0. Calculate p.
-10, -2, 0
Factor 1713*b**2 + 173*b**3 + 124*b**3 - 467*b**3 + 171*b**3 + 186169411 + 978123*b.
(b + 571)**3
Let q(f) = -2*f**2 - 1222*f - 42348. Let z be q(-37). Let z - 92/9*t**3 + 736/3*t + 2/9*t**4 + 962/9*t**2 = 0. Calculate t.
-1, 24
Find g, given that 4*g**2 + 14 + 1/5*g**3 + 89/5*g = 0.
-14, -5, -1
Factor -371*a**4 - 379*a**4 - 377*a**4 - 6*a**2 - 9*a**3 + 1124*a**4.
-3*a**2*(a + 1)*(a + 2)
Let j be (-12)/45*(-6 - (-4191)/704). Let b(r) be the second derivative of -1/48*r**4 + 0 + j*r**5 + 0*r**2 + 0*r**3 - 19*r. Factor b(v).
v**2*(v - 1)/4
Let x(z) = 4*z - 34. Let m be x(9). Determine s so that 4*s**3 - 114*s**2 - 2*s - 2*s + 4 + 0*s - s**4 + 111*s**m = 0.
-1, 1, 2
Let l(p) be the third derivative of p**6/360 - 7*p**5/36 - p**4/2 + 99*p**2. Factor l(m).
m*(m - 36)*(m + 1)/3
Let o(f) be the third derivative of f**8/1008 + 8*f**7/315 + 41*f**6/180 + 8*f**5/9 + 133*f**4/72 + 20*f**3/9 + 78*f**2 + 20*f. Factor o(m).
(m + 1)**3*(m + 5)*(m + 8)/3
Let o(p) = -211*p**2 + 1014*p - 11. Let d(g) = -115*g**2 + 507*g - 6. Let n(v) = 11*d(v) - 6*o(v). Let n(x) = 0. What is x?
0, 507
Let a(i) = 2*i**3 - 31*i**2 + 56*i - 5. Let z(x) = x**3 - 11*x**2 + 19*x - 1. Let d(t) = 4*a(t) - 11*z(t). Factor d(l).
-3*(l - 1)**2*(l + 3)
Suppose 10 = -4*t + n, n = -4*n + 10. Let q be t/(-4) + (-27)/(-10) + -3. Suppose -1/5*z**3 + 0 + q*z + 0*z**2 = 0. What is z?
-1, 0, 1
Determine s so that 523*s**4 - 9*s**3 - 3*s**2 + 576*s**4 + 3*s**5 + 6*s - 1681*s**4 + 585*s**4 = 0.
-2, -1, 0, 1
Let i(r) = -r + 39. Let g be i(9). What is z in 21 + 5*z**2 - 2 + 21 - g*z = 0?
2, 4
Let p(f) be the third derivative of -f**6/40 + 9*f**5/20 - 11*f**4/8 - 21*f**3/2 + 184*f**2. What is x in p(x) = 0?
-1, 3, 7
Let 1408 - 5777*b + 20*b**2 - 3787*b + 6036*b = 0. What is b?
2/5, 176
Let o(q) be the third derivative of -243*q**6/8 + 10971*q**5/4 - 3040*q**4/3 + 150*q**3 + 1451*q**2. Factor o(f).
-5*(f - 45)*(27*f - 2)**2
Let v(r) be the third derivative of -r**7/25200 - r**6/720 + r**5/50 - 13*r**4/24 - 5*r**3/6 + 94*r**2. Let p(l) be the second derivative of v(l). Factor p(t).
-(t - 2)*(t + 12)/10
Let w(h) = 4*h**2 - 97. Let v(m) = -m**2 + 2*m + 2. Let d(s) = -3*v(s) - w(s). Factor d(y).
-(y - 7)*(y + 13)
Determine x, given that 160/13*x - 2/13*x**4 + 54/13 + 48/13*x**3 + 12*x**2 = 0.
-1, 27
Let g(d) = 2*d**3 - 66*d**2 - 506*d + 582. Let k(f) = -581 + 458*f + 66*f**2 + 64*f - 15*f - f**3. Let o(y) = 3*g(y) + 4*k(y). Factor o(s).
2*(s - 1)*(s + 17)**2
Let p(z) be the second derivative of -7*z**4/8 - 29*z**3/4 - 33*z**2/2 + 2304*z. Solve p(x) = 0 for x.
-22/7, -1
Suppose -5*i + 2*s = -0*i, 3*i + 5*s = 31. Factor -m + 13*m**i - 16*m**2 + 2*m**2.
-m*(m + 1)
Let r be ((-1)/(11/2))/((3675/(-330))/49). Find o, given that 0 + 2/5*o**3 + r*o**4 + 0*o**2 + 0*o - 6/5*o**5 = 0.
-1/3, 0, 1
Let n(b) be the third derivative of 0 + 3*b - 2/7*b**4 - 3/490*b**7 - 5/56*b**6 - 2/5*b**5 + 0*b**3 + 27*b**2. Factor n(s).
-3*s*(s + 4)**2*(3*s + 1)/7
Factor -3/4*y**2 + 1/4*y**3 - 5/2*y + 0.
y*(y - 5)*(y + 2)/4
Let o = -4167 - -4172. Let a(i) be the third derivative of -1/70*i**7 + 3/20*i**o + 0 + 0*i**3 + 0*i**6 + 0*i + 20*i**2 + 1/4*i**4. Factor a(t).
-3*t*(t - 2)*(t + 1)**2
Let v(w) be the first derivative of w**5/20 + w**4/8 - 6*w**3 - 62*w**2 + 5. Let f(t) be the second derivative of v(t). Factor f(u).
3*(u - 3)*(u + 4)
Let y(s) be the third derivative of s**5/150 + 11*s**4/30 - 56*s**3/5 - 2*s**2 - 3781. Solve y(i) = 0 for i.
-28, 6
Let s(r) be the second derivative of 15*r**5/16 - 15*r**4/2 + 21*r**3/2 - 6*r**2 - 11*r - 8. Factor s(f).
3*(f - 4)*(5*f - 2)**2/4
Let w = -7865 + 7870. Let m(h) be the second derivative of 0 + h**3 - 34*h - 9/8*h**2 + 1/40*h**w - 13/48*h**4. Factor m(a).
(a - 3)**2*(2*a - 1)/4
Factor -1/2*t**4 + 198*t + 61/2*t**3 + 162*t**2 + 0.
-t*(t - 66)*(t + 2)*(t + 3)/2
Let f = -208 - -212. Suppose 3*s**f - 9157 + 9*s**3 - 9*s + 9157 - 3*s**2 = 0. What is s?
-3, -1, 0, 1
Let i(o) be the first derivative of -99*o**5/20 + 255*o**4/4 - 133*o**3 - 684*o**2 - 432*o - 1039. Find k such that i(k) = 0.
-4/3, -4/11, 6
Let b = 1 + -1. Let i = -419226 - -419231. Find y such that -2/13*y**2 - 2/13*y**i - 6/13*y**4 - 6/13*y**3 + b + 0*y = 0.
-1, 0
Suppose -174*b**4 - 999*b - 2*b**5 + 2835*b**3 - 240 - 78*b**5 - 5215*b**2 - 26*b**4 + 3089*b = 0. What is b?
-8, 1/4, 2, 3
Let x = -50 - -62. Factor 88*m**2 + x*m**3 + 64*m - m**4 - 3*m**4 + m**3 + 7*m**3.
-4*m*(m - 8)*(m + 1)*(m + 2)
Let f(v) be the third derivative of -1/4*v**5 + 0*v - 196*v**2 + 0 + 0*v**3 - 3/4*v**4 + 1/70*v**7 + 1/20*v**6. Factor f(a).
3*a*(a - 2)*(a + 1)*(a + 3)
Let x(v) = 14*v + 268. Let o be x(-19). Let 29*n**4 - 4*n**o - 13*n**4 + n**3 + 2 - 2 - 15*n**4 - 4*n = 0. What is n?
-2, -1, 0, 2
Let p be (-6180)/(-824)*2*(-10)/(-24). Let l(u) be the first derivative of 5 + 5/4*u**2 + p*u + 1/12*u**3. Factor l(j).
(j + 5)**2/4
Let s(h) be the third derivative of 5*h**6/7 + h**5/7 - 3*h**4/4 - 9*h**3/14 + 556*h**2. Solve s(u) = 0 for u.
-3/10, 1/2
Let z(f) be the third derivative of -f**5/12 + 545*f**4/72 - 515*f**3/9 + 255*f**2. Determine x, given that z(x) = 0.
2, 103/3
Factor 0*c**3 - 32/9*c - 2/9*c**4 + 8/3*c**2 + 0.
-2*c*(c - 2)**2*(c + 4)/9
Let i(a) = -a**2 + 11*a - 34. Let t be i(5). Let k be 9/t*476/(-306). What is o in k*o + 1/2*o**3 + 3/2 + 5/2*o**2 = 0?
-3, -1
Suppose 0 = -100*f + 99*f + 5. Find k, given that -f*k - 45 - 12*k**2 + 24*k - 158*k - 44*k = 0.
-15, -1/4
Let f be 99/(-44) + (-25)/(-10). Let r(z) be the first derivative of -f*z - 3/16*z**4 + 1/12*z**3 + 3/8*z**2 - 10. Factor r(l).
-(l - 1)*(l + 1)*(3*l - 1)/4
Find j, given that -3/2*j**2 - 261/2 - 48*j = 0.
-29, -3
Let x(t) = 2*t**2 - 4. Let i be x(-2). Determine n, given that 2*n**5 - 28*n + 14*n**i - 16 - 290*n**2 + 17*n**3 + 9*n**3 + 292*n**2 = 0.
-4, -2, -1, 1
Let s be (168/64 - 0)*(-72)/(-42). Factor -114*i - 397/2*i**2 - 57*i**3 - s*i**4 - 18.
-(i + 6)**2*(3*i + 1)**2/2
Let u = -1302981/11 + 118453. Let -u*i**4 + 0*i + 4/11*i**2 + 0 - 2/11*i**3 = 0. Calculate i.
-2, 0, 1
Let b(f) be the second derivative of 2*f**6/45 + 4*f**5/15 - 97*f**4/9 - 8*f**3/9 + 64*f**2 + 4*f - 286. Find y, given that b(y) = 0.
-12, -1, 1, 8
Let k(s) be the third derivative of s**5/48 - 935*s**4/48 + 174845*s**3/24 - 4*s**2 + 28. Solve k(g) = 0 for g.
187
Suppose -3*v - 114 = -2*g, 4*g = 5*v - 0*v + 190. Let k = v + 40. Factor -9*z**k + z**3 + 36 + 24*z + 7*z**2 - 5*z**2 - 4*z**2.
(z - 6)**2*(z + 1)
Factor -d**4 + 0*d**4 + 7*d**4 - 228*d**2 - 2*d**4 - 116*d + 716*d**3 - 824*d**3.
4*d*(d - 29)*(d + 1)**2
Let a(g) be the first derivative of -3*g**3 + 9*g**2/2 - 12*g + 84. Let y(p) = -10*p**2 + 9*p - 10. Let d(h) = 5*a(h) - 6*y(h). Factor d(o).
3*o*(5*o - 3)
Let v = 154/579 + 13/193. Let p(w) be the first derivative of 7/4*w**2 + 2*w + v*w**3 + 11 - 1/8*w**4. Let p(i) = 0. Calculate i.
-1, 4
Determine x, given that 2*x**4 + 6*x**4 + 52*x**2 + 12*x - 176*x**3 + 148*x**3 - 4*x**4 - 72 = 0.
-1, 2, 3
Let z(c) be the first derivative of 71 + 16/7*c + 26/21*c**3 - 54/7*c**2. Factor z(r).
2*(r - 4)*(13*r - 2)/7
Factor -15/2*o**2 - 288 - 2883/2*o.
-3*(o + 192)*(