 0 + 2/5*j**a = 0.
-1, 0, 1
Solve -46*n**3 - 4 + 43*n**3 + 3*n**2 + 4 = 0 for n.
0, 1
Let n be ((-8)/(-4))/(-1 + -2 + 4). Factor 1/4*q**4 + 0 - 1/4*q**5 + 1/4*q**3 - 1/4*q**n + 0*q.
-q**2*(q - 1)**2*(q + 1)/4
Let f be (3 - 2)*6*1. Let g(u) be the third derivative of 0*u - u**2 - 1/420*u**f + 0 - 1/105*u**5 - 1/84*u**4 + 0*u**3. Find b such that g(b) = 0.
-1, 0
Let r(a) be the second derivative of -2/3*a**4 + 0 - 2/3*a**3 - 3*a + 0*a**2. Find w, given that r(w) = 0.
-1/2, 0
Factor 45 + 27 - 8 + 55*t + 41*t + 36*t**2.
4*(3*t + 4)**2
Let z(q) = 8*q**2 - 4*q + 2. Let t(f) = -7*f**2 + 3*f - 1. Let g(l) = 6*t(l) + 5*z(l). Factor g(s).
-2*(s - 1)*(s + 2)
Let q be (-105)/10 - 3/(-6). Let p be 0 + -1 - 22/q. Factor -2*z - 4/5 - p*z**2.
-2*(z + 1)*(3*z + 2)/5
Let o(g) = 48*g**3 + 36*g**2 - 48*g - 63. Let r(n) = 7*n**3 + 5*n**2 - 7*n - 9. Let c(s) = -4*o(s) + 27*r(s). Factor c(f).
-3*(f - 1)*(f + 1)*(f + 3)
Determine m, given that -1/6*m**4 - 1/6*m**3 + 0*m**2 + 0*m + 0 = 0.
-1, 0
Let c(q) be the first derivative of q**4/8 - q**3/6 - q**2/2 + 2. Determine n so that c(n) = 0.
-1, 0, 2
Let n = 44 + -173/4. Factor 3/2 - n*i - 3/4*i**2.
-3*(i - 1)*(i + 2)/4
Let g(p) be the second derivative of -p**5/40 + p**4/8 - p**3/6 - 9*p + 1. Find s, given that g(s) = 0.
0, 1, 2
Let x = -13 - -16. Let y(q) = -q**3 + 17*q**2 + 9*q - 17. Let w(u) = -6*u**2 - 3*u + 6. Let f(t) = x*y(t) + 8*w(t). Factor f(a).
-3*(a - 1)**2*(a + 1)
Let n(g) = g**3 + g**2 - g - 1. Let l(p) = 16*p**3 + 18*p**2 - 7*p - 9. Suppose 2 + 8 = 5*i. Let z(o) = i*l(o) - 18*n(o). Solve z(j) = 0 for j.
-1, -2/7, 0
Let s(c) be the third derivative of 1/1470*c**7 + 1/140*c**5 + 1/168*c**4 + 0*c + 0 + 1/280*c**6 - c**2 + 0*c**3. Factor s(n).
n*(n + 1)**3/7
Suppose -30*h**2 - 25*h**3 + 17*h**5 - 4*h**5 + 10*h**4 - 8*h**5 = 0. Calculate h.
-3, -1, 0, 2
Factor 2/5*w**2 - 4/5*w + 0 + 2/5*w**3.
2*w*(w - 1)*(w + 2)/5
Let i(k) be the second derivative of 0*k**4 - 1/60*k**5 + 1/120*k**6 + 0 - k**2 - 2*k + 0*k**3. Let f(t) be the first derivative of i(t). Factor f(r).
r**2*(r - 1)
Let j(v) be the second derivative of -v**9/30240 - v**8/6720 + v**6/720 + v**5/240 + v**4/12 - 5*v. Let m(z) be the third derivative of j(z). Factor m(l).
-(l - 1)*(l + 1)**3/2
Let w = -246 + 12301/50. Let r(o) be the third derivative of 0*o**3 + 1/40*o**4 + 1/200*o**6 + 0*o + w*o**5 - 4*o**2 + 0. Factor r(z).
3*z*(z + 1)**2/5
Let w(g) = -g**3 + g**2 + 5. Let m be w(0). Suppose 6 - 5 - 2*h - m + 2*h**2 = 0. What is h?
-1, 2
Let s = -1 + 12. Let o + 2 - 7*o - s*o**2 - 3*o = 0. Calculate o.
-1, 2/11
Let t(z) be the first derivative of 4*z**5 + 10*z**4 - 5*z**3 - 25*z**2/2 + 10*z + 10. Suppose t(p) = 0. What is p?
-2, -1, 1/2
Factor 0 - 16/3*b**5 - 1/3*b + 10/3*b**2 - 11*b**3 + 40/3*b**4.
-b*(b - 1)**2*(4*b - 1)**2/3
Factor 3/4 + 3/4*d**2 + 3/2*d.
3*(d + 1)**2/4
Suppose -3*l + 2 = s, 2*s - 4 = -3*l - 0*s. Let o(q) be the second derivative of 0*q**2 + 1/6*q**4 - 2*q + l - 1/3*q**3. Find y, given that o(y) = 0.
0, 1
Let c(x) be the second derivative of x**7/14 - x**6/10 - 3*x**5/20 + x**4/4 + 4*x. Let c(i) = 0. What is i?
-1, 0, 1
Factor 22*b**2 + 28*b**4 - 29*b**3 - 9*b**2 - 7*b**5 + 2*b**3 - 2*b - 5*b**4.
-b*(b - 1)**3*(7*b - 2)
Let y(f) be the third derivative of 1/280*f**7 + 0*f + 0 + 7*f**2 + 7/160*f**6 + 3/16*f**5 + 9/32*f**4 + 0*f**3. Factor y(u).
3*u*(u + 1)*(u + 3)**2/4
Let r(m) be the third derivative of 0*m + 0 + 1/28*m**4 + 1/210*m**5 + 2*m**2 + 2/21*m**3. What is k in r(k) = 0?
-2, -1
Suppose -2*g = 3*g. Factor -24*w**4 - w - 8*w**3 + 3*w**5 - 5*w + g - 4 + 28*w**2 + 11*w**5.
2*(w - 1)**3*(w + 1)*(7*w + 2)
Let h(j) be the third derivative of j**6/12 - 4*j**5/15 + j**4/12 + 2*j**3/3 + 8*j**2. Factor h(b).
2*(b - 1)**2*(5*b + 2)
Suppose 0*x**2 - 6/17*x**4 - 2/17*x**5 + 0*x - 4/17*x**3 + 0 = 0. What is x?
-2, -1, 0
Let d(u) be the first derivative of -u**4/6 + 14*u**3/9 - 5*u**2 + 6*u + 60. Suppose d(r) = 0. Calculate r.
1, 3
Let d(l) = -2*l**5 - 5*l**4 + 7*l**3 + 7*l**2 + 7*l - 7. Let t(m) = -m**5 - 2*m**4 + 3*m**3 + 3*m**2 + 3*m - 3. Let n(o) = -3*d(o) + 7*t(o). Factor n(h).
-h**4*(h - 1)
Let i = 38/891 - 1/81. Let z(v) be the second derivative of 0 - 1/110*v**5 + i*v**3 + 0*v**2 - 2*v - 1/66*v**4 + 1/165*v**6. Factor z(x).
2*x*(x - 1)**2*(x + 1)/11
Let z(k) = -k**2 - 8*k - 11. Suppose 3*a + 4 = -41. Let c(g) = -1. Let m(i) = a*c(i) - 3*z(i). Let m(x) = 0. Calculate x.
-4
Let i(g) = -g**2 + 2. Let c be i(0). Let h(b) = -b**3 + 3*b**2 - 2*b. Let n be h(2). Factor -v**c + n*v**2 - v**2.
-2*v**2
Let p(y) be the second derivative of -y**4/48 + y**3/6 - y**2/2 + 18*y. What is d in p(d) = 0?
2
Suppose 0*s + 8 = 2*s. Suppose 0 = -3*j + 2*d - 0 + s, -2*d - 4 = -4*j. Factor 0*p + j - 2/3*p**2.
-2*p**2/3
Let b(r) be the second derivative of -r**8/112 - r**7/35 + r**5/10 + r**4/8 + r**2 + 2*r. Let v(s) be the first derivative of b(s). Factor v(j).
-3*j*(j - 1)*(j + 1)**3
Determine v, given that 3*v**3 - 199*v**2 - 6 + 84*v**2 + 9*v + 78*v**2 - 9*v**4 + 64*v**2 = 0.
-1, 1/3, 2
Let a(b) = -5*b**2 - 45*b - 288. Let h(z) = 29*z**2 + 271*z + 1728. Let y(d) = -34*a(d) - 6*h(d). Solve y(q) = 0.
-12
Suppose -10 = 2*m - 7*m. Let f = 0 + m. Factor -1/4*o**f + 1/4*o - 1/4*o**3 + 1/4.
-(o - 1)*(o + 1)**2/4
Let z(b) = 8*b**3 - 3*b**2. Let q(k) = k. Let g(x) = 7*x**3 - 3*x**2 - 5*x. Let u(r) = g(r) + 5*q(r). Let d(y) = 5*u(y) - 4*z(y). Solve d(m) = 0.
0, 1
Let x(c) be the third derivative of c**5/60 - c**4/8 + c**3/3 + 12*c**2. Solve x(h) = 0.
1, 2
Let x be 2*(2 + -1) + (-1 - -3). Let c(b) be the first derivative of -3 + 0*b**2 - 2/3*b**3 + 0*b + 2/5*b**5 + 1/2*b**x - 1/3*b**6. Factor c(r).
-2*r**2*(r - 1)**2*(r + 1)
Let z(n) be the first derivative of -4/5*n + 1/20*n**4 - 1/3*n**3 - 4 + 4/5*n**2. Find i, given that z(i) = 0.
1, 2
Let s(l) = -3*l - 4. Let n be s(-3). Let r(m) = -m**2 + 7*m - 7. Let a be r(n). Let 0 - 1/3*q**a + 0*q + 0*q**2 = 0. What is q?
0
Suppose -9 = 4*m - 3*k, -m - 2*m - 5*k + 15 = 0. Factor -1/6*v**4 - 3/2*v**2 + v**3 + 0 + m*v.
-v**2*(v - 3)**2/6
Let r(a) be the first derivative of a**6/21 + 2*a**5/35 - a**4/14 - 2*a**3/21 + 11. Factor r(h).
2*h**2*(h - 1)*(h + 1)**2/7
Factor 21 + 19 - 52 + 3*h**3 + 9*h**2.
3*(h - 1)*(h + 2)**2
Let p(c) be the third derivative of c**5/360 - c**4/144 - c**2. Solve p(v) = 0.
0, 1
Let l = -40 + 40. Let y(z) be the second derivative of 0*z**3 + 1/27*z**4 - 1/135*z**6 + 3*z + 0 - 1/9*z**2 + l*z**5. Find c, given that y(c) = 0.
-1, 1
Suppose -8*p + 3*p + 20 = 0. Factor 9*m**3 + m**5 - 7*m**2 - p*m**4 + m + 3*m**2 - 3*m**3.
m*(m - 1)**4
Let u(c) be the second derivative of 2*c**7/105 - c**6/10 + c**5/15 + c**4/2 - 4*c**3/3 + 4*c**2 - 3*c. Let m(o) be the first derivative of u(o). Factor m(v).
4*(v - 2)*(v - 1)**2*(v + 1)
Suppose -4*k = -11*k. Factor k + 2/3*z + 2/3*z**2.
2*z*(z + 1)/3
Let y(a) = -a**3 + a. Let m(u) = -6*u**3 - 12*u**2 + 26*u - 8. Let f(n) = m(n) - 8*y(n). Solve f(h) = 0 for h.
1, 4
Suppose 5*y = 16 - 6. What is j in -y*j**4 - j**5 + 3*j**2 + j + 0*j**2 - j**2 = 0?
-1, 0, 1
Let d(h) be the first derivative of 1/2*h**2 + 1/2*h + 1/6*h**3 + 1. Suppose d(v) = 0. Calculate v.
-1
Let q(l) be the second derivative of 2*l**3 + 3/4*l**4 + 0 + 3/2*l**2 - 6*l. Find h such that q(h) = 0.
-1, -1/3
Let s be -7 - 6/(-2)*1. Let o(c) = 3*c**5 + 7*c**4 + c**3 + c**2. Let b(v) = -4*v**5 - 8*v**4 - 2*v**3 - v**2. Let p(d) = s*b(d) - 5*o(d). Factor p(f).
f**2*(f - 1)**3
Let j(n) = -n**2 + 18*n + 8. Let p(z) = 10*z + 4. Let f(l) = 3*j(l) - 5*p(l). Factor f(x).
-(x - 2)*(3*x + 2)
Let y(p) = 6*p**3 - 8*p**2 + 2*p. Let v(j) = -j - 1. Let l be v(-3). Let f(a) = -24*a**3 + 31*a**2 - 8*a + 1. Let z(o) = l*f(o) + 9*y(o). Factor z(q).
2*(q - 1)**2*(3*q + 1)
Let z(c) = -c**3 + 13*c**2 - 6*c + 81. Let g be z(13). Determine p, given that 2/13*p**4 - 6/13*p**2 + 8/13 + 8/13*p - 4/13*p**g = 0.
-1, 2
Let z(f) be the first derivative of f**4/8 - f**3/2 + 3*f**2/4 - f/2 - 14. Suppose z(b) = 0. What is b?
1
Let y(r) be the first derivative of -3*r**5/35 + 9*r**4/14 - 12*r**3/7 + 15*r**2/7 - 9*r/7 + 13. Factor y(k).
-3*(k - 3)*(k - 1)**3/7
Let y(f) = -f + 6. Let u be y(4). Factor -g**u - 2*g - 1 + 2*g + 2*g.
-(g - 1)**2
Let y(p) be the third derivative of -p**8/28 - 4*p**7/105 + p**6/10 + 2*p**5/15 - 2*p**2. Determine m, giv