e w, given that -81*w + 8*w**4 + 103 - 167 - 16*w**2 - 4*w**5 - 31*w + 44*w**3 = 0.
-2, -1, 2, 4
Let m**3 + 5*m**3 - 7*m**2 - 14*m + 12 + 8*m**2 - 7*m**2 + 2*m**4 + 0*m**3 = 0. Calculate m.
-3, -2, 1
Suppose 12 = -18*o + 24*o. Let x be ((4/5)/o)/(279/310). What is w in -2/9*w**4 + 0 + x*w**2 + 2/9*w**3 + 0*w = 0?
-1, 0, 2
Let p(w) = -2*w**5 + w**3 - 1. Let g(l) = -42*l**5 - 8*l**4 + 30*l**3 - 22. Let f(v) = -2*g(v) + 44*p(v). Factor f(k).
-4*k**3*(k - 2)**2
Suppose -x = 2*m - 33, 0 = -3*m + 4*x + 44. Factor 5*a + a**3 + 6*a - 3*a + m - 7*a**2.
(a - 4)**2*(a + 1)
Let z = -2415 + 2420. Let v(i) be the third derivative of -i**6 + 0*i**3 + 7*i**2 - 5/24*i**4 - 8/21*i**7 + 0 - 3/4*i**z + 0*i. Factor v(s).
-5*s*(s + 1)*(4*s + 1)**2
Let x(k) be the second derivative of -k**6/20 + 3*k**5/10 - 3*k**4/8 - k**3 + 3*k**2 + 2*k + 59. Let x(o) = 0. Calculate o.
-1, 1, 2
Let y be 396/(-1782)*12/(-1). Factor 4*b**3 + y*b - 22/3*b**2 + 2/3.
2*(b - 1)**2*(6*b + 1)/3
Let a(s) = -s + 6. Suppose 10 = 5*h - 10. Let n be a(h). Factor 0*x**n + x**5 + 0*x**3 - 3*x**3 + 2*x**2.
x**2*(x - 1)**2*(x + 2)
Suppose -8 = 16*l - 13*l - 7*l. Factor 8/11*z - 6/11 - 2/11*z**l.
-2*(z - 3)*(z - 1)/11
Suppose 37*x = -525 + 525. Factor -1/2*h**5 - 5/2*h**3 + x*h + 2*h**4 + 0 + h**2.
-h**2*(h - 2)*(h - 1)**2/2
Let l be (-4 - 36/(-8))*1*8. Let m(k) be the second derivative of -1/12*k**l + 1/3*k**3 + 0 + 2*k + 3/2*k**2. Factor m(i).
-(i - 3)*(i + 1)
Find r, given that -4/3*r**3 + 22/5*r**2 + 0 + 2/15*r**4 - 24/5*r = 0.
0, 3, 4
Factor -39*h**2 - 3 + 154*h - 151*h + 24 + 18 - 3*h**3.
-3*(h - 1)*(h + 1)*(h + 13)
Let h(r) = 2*r**2 + 6*r - 8. Let d be h(-6). Factor -d*i**3 - 15*i**2 - 3*i**4 + 8*i**4 + 38*i**3.
5*i**2*(i - 1)*(i + 3)
Suppose 4*p - 16 = 3*h + 42, 0 = 5*h - 10. Suppose 0*k**5 + 12*k**5 + p*k**3 + 16*k**2 + 40*k**3 - 2*k**5 + 44*k**4 = 0. Calculate k.
-2, -2/5, 0
Let a = -9 + 8. Let z be 2 + 3 + -1 + a. Factor 2 - 2*f**3 - f + f**3 - 4*f**2 + 2*f**z + 2*f**2.
(f - 2)*(f - 1)*(f + 1)
Let y(q) = 113*q + 2941. Let l be y(-26). Solve 0 - 44/5*f**2 - 36/5*f**l - 8/5*f = 0.
-1, -2/9, 0
Find c, given that 3*c**3 - 74*c**2 + 55*c**2 + 840*c + 3600 - 92*c**2 = 0.
-3, 20
Let o = 15 - -2. Suppose -u = -21 + o. Factor -2/11*j**2 + 0 - 2/11*j**3 + 2/11*j + 2/11*j**u.
2*j*(j - 1)**2*(j + 1)/11
Let s be 172*(-45)/1140 - (-28)/4. Factor 0*k**2 - 6/19*k + 2/19*k**3 - s.
2*(k - 2)*(k + 1)**2/19
Solve 56/9*y**2 + 8/9*y**3 - 320/9*y - 2/9*y**4 + 128/3 = 0 for y.
-6, 2, 4
Let c = 253 - 251. Let z(k) be the first derivative of -k**4 + 2/3*k**3 + 3 + 0*k + 2/5*k**5 + 0*k**c. Suppose z(j) = 0. What is j?
0, 1
Factor 0*k + 0 - 3/2*k**2 - 5/2*k**3.
-k**2*(5*k + 3)/2
Let l(c) be the third derivative of 1/30*c**5 + 2*c**2 + 0*c**3 - 1/12*c**4 + 0*c + 0. Determine t so that l(t) = 0.
0, 1
Let c(d) = 29*d**2 + 54*d - 22*d + 25*d**3 + 54*d**2. Let h(g) = g**2 - g. Let b(u) = -c(u) - 2*h(u). Factor b(r).
-5*r*(r + 3)*(5*r + 2)
Let v = 3271/549 + -255/61. Let 2/9*d**2 - 10/9*d**4 - v*d + 14/9*d**3 + 8/9 + 2/9*d**5 = 0. What is d?
-1, 1, 2
Let p(g) = -9*g**3 - 48*g**2 - 69*g - 21. Suppose 15 + 11 = 13*z. Let k(t) = -9*t**3 - 48*t**2 - 69*t - 20. Let r(b) = z*p(b) - 3*k(b). Factor r(c).
3*(c + 2)*(c + 3)*(3*c + 1)
Let k = 1093 + -1091. Factor 2/13*n + 6/13*n**k + 2/13*n**4 + 0 + 6/13*n**3.
2*n*(n + 1)**3/13
Let v(z) = z**2 + 4*z - 2. Let r(l) be the first derivative of l**3/3 + 5*l**2/2 - 3*l + 6. Let h(p) = 2*r(p) - 3*v(p). Factor h(m).
-m*(m + 2)
Let a be (-2)/4*(-2 + -4). Let v(k) = 2*k + 14. Let t be v(-6). Solve -u**3 + u - t*u - u + 3*u**a = 0.
-1, 0, 1
Let u(w) = w**2 - 44*w. Let c be u(0). Factor c*q - 15/2*q**2 + 5/2*q**3 + 0.
5*q**2*(q - 3)/2
Suppose 10*h - 6*h = 2*h. Let v = 25 + -23. What is d in -3/2*d**4 + 3/2*d**3 + 0 + 0*d**v + h*d = 0?
0, 1
Let n(w) = 6*w**2 + 2*w + 9. Let f(a) = 3*a**2 + a + 4. Let v(h) = 9*f(h) - 4*n(h). Factor v(c).
c*(3*c + 1)
Let q = -883 + 889. Let x(n) be the first derivative of -5/2*n**4 + 3/5*n**5 + 0*n - n**2 - q + 3*n**3. Factor x(k).
k*(k - 2)*(k - 1)*(3*k - 1)
Let m(l) be the first derivative of -l**5/210 - 3*l**4/28 - 8*l**3/21 - 12*l**2 - 18. Let o(s) be the second derivative of m(s). What is c in o(c) = 0?
-8, -1
Let o(c) be the second derivative of -4*c**4/3 - 26*c**3 + 20*c**2 + 84*c + 1. Factor o(j).
-4*(j + 10)*(4*j - 1)
Suppose 3 = -r + 6. Find j, given that -87*j + 52*j + 47*j - 12*j**2 + 3*j**r = 0.
0, 2
Suppose 141*j = 152*j - 44. Factor -5/6*f**2 + 1/2*f + 1/6*f**3 + 0 + 1/6*f**j.
f*(f - 1)**2*(f + 3)/6
Let n(k) be the second derivative of 32*k + 1/48*k**4 + 8*k**2 - 2/3*k**3 + 0. Factor n(c).
(c - 8)**2/4
Let n(f) be the second derivative of -f**6/6 + 11*f**5/10 - 11*f**4/4 + 10*f**3/3 - 2*f**2 - 151*f. Find z, given that n(z) = 0.
2/5, 1, 2
Suppose -9852*n = -9827*n - 50. Solve -5/2*b - 1/2*b**3 - 1 - 2*b**n = 0 for b.
-2, -1
Let g(p) be the second derivative of p**6/240 - p**5/80 - 5*p**4/96 + p**3/8 - 18*p + 3. Determine o so that g(o) = 0.
-2, 0, 1, 3
Let h(n) be the third derivative of n**8/4032 - n**6/36 + n**5/60 + 13*n**2. Let o(c) be the third derivative of h(c). Factor o(y).
5*(y - 2)*(y + 2)
Let l(j) be the third derivative of j**6/660 - 7*j**5/330 + 82*j**2 - 3. Factor l(h).
2*h**2*(h - 7)/11
Let o(b) = -3*b**3 - 1. Let c be o(-1). Determine v, given that 5*v**3 - 12*v**4 - 7*v - 18*v**c - 32*v**3 + 4*v = 0.
-1, -1/4, 0
Let q(c) be the second derivative of 5*c**4/24 + 19*c**3/12 - c**2 - 14*c. What is b in q(b) = 0?
-4, 1/5
Let u(q) be the third derivative of 1/1680*q**8 + 0*q - 1/30*q**4 + 2/525*q**7 - 1/30*q**5 - 9*q**2 + 4/15*q**3 + 1/600*q**6 + 0. Factor u(i).
(i - 1)**2*(i + 2)**3/5
Let q = -14400 - -43202/3. Factor 0*t - 2/3*t**3 - q*t**4 + 0 + 4/3*t**2.
-2*t**2*(t - 1)*(t + 2)/3
Let u(i) be the second derivative of 17/2*i**3 - i**4 + 0 - 6*i**2 + 11*i. What is l in u(l) = 0?
1/4, 4
Suppose 0 = 15*l - 86 - 499. Suppose 42*r = l*r. Factor -1/6*y**4 - 1/6*y**2 - 1/3*y**3 + 0*y + r.
-y**2*(y + 1)**2/6
Let x(q) be the third derivative of 5*q**8/336 + 5*q**7/21 - 5*q**6/12 - 55*q**5/3 + 175*q**4/8 + 735*q**3 + 128*q**2. What is y in x(y) = 0?
-7, -2, 3
Let r(j) be the second derivative of 64/5*j**2 - 24*j + 16/15*j**3 + 1/30*j**4 + 0. Let r(b) = 0. Calculate b.
-8
Let p(a) be the first derivative of 12 - 1/3*a**3 + a**2 - a. Factor p(v).
-(v - 1)**2
Let l(q) be the second derivative of 1/5*q**5 + q**3 - 1/2*q**2 + 4*q + 0 - 3/4*q**4. Factor l(i).
(i - 1)**2*(4*i - 1)
Let o = -1375 - -1377. Factor 9/8*t**3 - 3/8*t**5 + 3/8*t**4 + 3/4*t + 0 - 15/8*t**o.
-3*t*(t - 1)**3*(t + 2)/8
Let r(s) = -s**2 + 2*s + 1. Let j(x) = 1. Let z(w) = 35*j(w) + 5*r(w). Find k such that z(k) = 0.
-2, 4
Let s(h) be the first derivative of -10*h**4 + 100/3*h**3 + 4/5*h**5 + 0*h**2 + 0*h + 15. Factor s(l).
4*l**2*(l - 5)**2
Factor -4*v**3 + 0*v - 2/5*v**5 + 0*v**2 + 14/5*v**4 + 0.
-2*v**3*(v - 5)*(v - 2)/5
Let -6591/5 - 3/5*t**3 - 117/5*t**2 - 1521/5*t = 0. What is t?
-13
Let l = -65 - -77. Suppose -6 = 3*z - 2*u, 5*z - u = 3*u - l. Factor -2/9*i**2 + z - 2/9*i**3 + 2/9*i + 2/9*i**4.
2*i*(i - 1)**2*(i + 1)/9
Factor 9*z + 52*z**2 + 47*z - 4*z**3 + 0*z**3.
-4*z*(z - 14)*(z + 1)
Find n, given that 3*n**3 + 6*n - 2*n**3 + 5*n - 15*n = 0.
-2, 0, 2
Let k(v) = 2*v - 8. Let m = -17 + 25. Let h be k(m). Factor -1 - 8*l**2 + 4*l**3 + 0*l**2 - h*l - 8*l + 33.
4*(l - 2)**2*(l + 2)
Suppose -5*n - n = 60. Let o be (-36)/n - 1/15*-9. Determine l so that -9/5*l**3 - 3/5 - o*l**2 - 3*l = 0.
-1, -1/3
Factor -6/17*j + 2/17 + 6/17*j**2 - 2/17*j**3.
-2*(j - 1)**3/17
Factor -33429*p**2 + 198 + 70*p**4 - 3*p**5 + 14*p**4 + 34251*p**2 - 669*p - 432*p**3.
-3*(p - 22)*(p - 3)*(p - 1)**3
Let w(z) be the second derivative of z**3 - 33*z**2 + 57*z. Let f be w(11). Let 0 - 1/5*m**3 + f*m**2 + 1/5*m**4 + 0*m = 0. Calculate m.
0, 1
Suppose -i - 4*i = w + 32, i = 3*w + 176. Let t = 57 + w. Factor -1/2*b**3 + t*b + 0 + 0*b**2 - 1/2*b**4.
-b**3*(b + 1)/2
Let l(h) = 23*h**2 + 160*h - 7. Let w be l(-7). Factor 8/5*i**4 - 6/5*i**3 - 2/5*i**5 + 0 + w*i**2 + 0*i.
-2*i**3*(i - 3)*(i - 1)/5
Let m be 4 - (1 + (2/(-1) - -2)). Let 46*p**2 + 10*p - 101*p**2 - 4 + 47*p**2 + 2*p**m = 0. What is p?
1, 2
Let b(r) be the first derivative of -r**5/80 - r**4/48 - r + 32. Let q(h) be the first derivative of b(h). F