x) = 3*x**3. Let o be f(-1). Let d be (-27)/(-6) - o/(-6). Let -6*m**3 + d*m**2 - 5*m**2 - 3*m**4 + 2*m**2 - 4*m**2 = 0. Calculate m.
-1, 0
Let q = -32/777 - -188971/3885. Let -12/5 - q*y**2 + 108/5*y = 0. What is y?
2/9
Let j(c) = c**4 + c**3 - c**2 - 1. Let z(w) = 5*w**4 + 10*w**3 - 15*w**2 - 10*w + 10. Let u(p) = 10*j(p) + z(p). Factor u(g).
5*g*(g - 1)*(g + 2)*(3*g + 1)
Let g(q) be the third derivative of q**6/200 - 3*q**5/50 + 9*q**4/40 - 2*q**3/5 + 14*q**2. Factor g(h).
3*(h - 4)*(h - 1)**2/5
Let s = 6 + -2. Suppose 5*p**s + 5*p**3 - p**3 - 3*p**4 - 6*p**3 = 0. What is p?
0, 1
Let a(p) be the first derivative of -p**6/3 - 6*p**5/5 - p**4/2 + 2*p**3 + 2*p**2 + 36. Suppose a(c) = 0. What is c?
-2, -1, 0, 1
Let v(n) = -4*n**3 - n**2. Suppose 5*d - 2 + 7 = 0. Let x be v(d). Find u, given that 2*u**2 - 3*u**3 + 5*u**3 + u**3 - u**x = 0.
-1, 0
Determine a, given that 13*a - a**3 + 7 + 3 + 2*a**2 + 0*a**2 = 0.
-2, -1, 5
Let n(u) = 2*u**2 - 7*u + 6. Let j be n(3). Suppose -4/5*y - 4/5*y**2 + 4/5*y**5 + 2/5 - 14/5*y**4 + 16/5*y**j = 0. What is y?
-1/2, 1
Factor -2/5*q**2 + 0 + 0*q.
-2*q**2/5
Let u(b) be the third derivative of b**8/13440 + b**7/1120 + b**6/240 - b**5/15 + 2*b**2. Let f(v) be the third derivative of u(v). Factor f(s).
3*(s + 1)*(s + 2)/2
Suppose 0 = -5*q + 5 + 5. Solve -2*y**2 - 2*y - 7*y**3 + 5*y**q + 6*y**2 = 0 for y.
0, 2/7, 1
Let y = 40/3 - 13. Factor 1/3*f**2 + y*f + 0.
f*(f + 1)/3
Let x(n) be the second derivative of -n**7/42 + n**6/10 + n**5/20 - 7*n**4/12 + 2*n**2 - 8*n. Factor x(v).
-(v - 2)**2*(v - 1)*(v + 1)**2
Let v(n) be the second derivative of 23*n**4/84 - 25*n**3/42 + n**2/7 - 41*n. Factor v(u).
(u - 1)*(23*u - 2)/7
Suppose 4*m = 4*o + 16, 2*m - 4*o + 6 = 16. Let n(l) be the first derivative of 0*l + 1/4*l**m - 1/8*l**2 - 3/16*l**4 - 1 + 1/20*l**5. Factor n(c).
c*(c - 1)**3/4
Let k(f) be the first derivative of f**6/21 - 6*f**5/35 + f**4/7 + 4*f**3/21 - 3*f**2/7 + 2*f/7 + 5. Find o such that k(o) = 0.
-1, 1
Let b(g) be the second derivative of -g**7/210 - 2*g**6/75 - 3*g**5/50 - g**4/15 - g**3/30 + 3*g. Factor b(x).
-x*(x + 1)**4/5
Let t be 4/8*-2 + 5*1. Let b(l) be the first derivative of -1/8*l**t - 2 - 1/3*l**3 - 1/4*l**2 + 0*l. Factor b(n).
-n*(n + 1)**2/2
Suppose 4*y - 32 = -0*r - 4*r, -5*r = 3*y - 30. Let q(z) be the second derivative of 2*z + 0*z**4 + z**2 - 2/3*z**3 - 1/15*z**6 + 1/5*z**y + 0. Factor q(u).
-2*(u - 1)**3*(u + 1)
Factor -18*x**3 - 7*x**2 - 4*x**2 - 12*x**4 - 2*x**3 + 3*x**2.
-4*x**2*(x + 1)*(3*x + 2)
Let y be 4*(1*-2 - -3). Factor -v - 2*v**4 - 5*v**2 + 3*v**2 + y*v**4 + 5*v - 4*v**3.
2*v*(v - 2)*(v - 1)*(v + 1)
Let c(l) be the third derivative of 0 - 1/36*l**4 + 2*l**2 + 1/18*l**3 + 1/180*l**5 + 0*l. Factor c(j).
(j - 1)**2/3
Solve 0*s - 2/3*s**2 + 2/3 = 0.
-1, 1
Let f(j) be the first derivative of -j**4/54 + j**3/9 - 2*j**2/9 - j - 1. Let s(t) be the first derivative of f(t). Suppose s(a) = 0. Calculate a.
1, 2
Let z(g) be the second derivative of g**5/130 - g**4/39 + 29*g. Factor z(k).
2*k**2*(k - 2)/13
Suppose 0 = -4*r + 33 + 7. Let k be (1 + -1)/(r/5). Let k + 2/7*d**2 + 2/7*d = 0. Calculate d.
-1, 0
Suppose 4*l - 9*l = 0. Let k(z) be the second derivative of l - 1/90*z**6 + 0*z**2 + 0*z**3 - 2*z + 1/60*z**5 + 0*z**4. Factor k(c).
-c**3*(c - 1)/3
Let p = 4 - 3. Let d(s) = p + 2*s**3 - 3*s**4 + 5*s**4 - 3*s**3 - s**4. Let m(w) = 4*w**4 - 4*w**3 - 3*w**2 + 5*w + 1. Let q(g) = -6*d(g) + 2*m(g). Factor q(u).
2*(u - 1)**3*(u + 2)
Let q(i) be the first derivative of -2 + 2*i**2 - 2/9*i**3 - 6*i. Determine g so that q(g) = 0.
3
Let i(w) = 1 + 3*w**3 - 11*w**4 - 3*w**5 + 11*w**2 - 1. Let b(h) = h**4 - 4*h**2 + h**5 - 11*h**3 + 3*h**4 + 10*h**3. Let t(u) = 11*b(u) + 4*i(u). Factor t(n).
-n**3*(n - 1)*(n + 1)
Let o be (-4 - (-14)/2) + 2. Suppose 0 = -d + 3*a + 15, -4*d + o*a + 25 = -2*d. Factor 0*v + d - 2/3*v**3 + 0*v**2.
-2*v**3/3
Let u = 789 + -787. Factor -32/3*d**3 - 2/3 + 14/3*d - 16/3*d**u.
-2*(d + 1)*(4*d - 1)**2/3
Let d(c) be the first derivative of c**4/2 - 2*c**3/3 + 9. Suppose d(n) = 0. Calculate n.
0, 1
Let x(s) = 4*s**4 - 16*s**3 + 4*s**2 + 4*s + 4. Let i(f) = -f**3 - f**2 + f + 1. Let g(c) = 4*i(c) - x(c). Suppose g(v) = 0. What is v?
0, 1, 2
Let o(a) = -5*a**3 - 9*a**2 + 5*a. Let r(j) = 2*j**3 + 4*j**2 - 2*j. Let u be 3*(3/9 + 1). Let i(z) = u*o(z) + 9*r(z). Determine m so that i(m) = 0.
-1, 0, 1
Let d(h) = -3*h**3 + 5*h**2 + 2*h - 4. Let v(j) be the first derivative of j**3/3 - j**2/2 + 1. Let m = -4 - -5. Let c(f) = m*d(f) - 6*v(f). Factor c(g).
-(g - 1)*(g + 2)*(3*g - 2)
Let w(y) be the second derivative of -3*y**5/20 + 6*y. Determine o, given that w(o) = 0.
0
Suppose -3*t - 1 = -10. Factor 4/7*l**t + 0*l**2 + 0*l**4 - 2/7*l - 2/7*l**5 + 0.
-2*l*(l - 1)**2*(l + 1)**2/7
Suppose 0 = -a - 159 + 163. Factor 0*f**2 + 0 + 0*f**3 - 3/2*f**a + 0*f.
-3*f**4/2
Let r(m) = m**2 - m - 1. Let x be r(-1). Let g be x/(-2)*(-2 - 0). Let o(w) = 1. Let b(z) = -2*z**2 + 2*z + 2. Let a(q) = g*b(q) + 2*o(q). Factor a(t).
-2*(t - 2)*(t + 1)
Suppose -z + 63 = 6*z. Suppose -m - 4*k = -2 - 20, 2*m = -k + z. Factor 2/11 - 8/11*x**3 + 2/11*x**4 + 12/11*x**m - 8/11*x.
2*(x - 1)**4/11
Let k = -281 + 3093/11. Solve 4/11*o + k*o**3 + 6/11*o**2 + 0 = 0.
-2, -1, 0
Let t(x) be the third derivative of -x**7/420 + x**6/48 - 3*x**5/40 + 7*x**4/48 - x**3/6 + 30*x**2 - 2. Factor t(d).
-(d - 2)*(d - 1)**3/2
Let m(k) = 4*k**2 - 2*k + 2. Let t be m(0). Find y, given that 1/2 + 1/4*y**t + 3/4*y = 0.
-2, -1
Let t(k) be the first derivative of 1/3*k**3 + k**2 + 0*k + 7. Find z, given that t(z) = 0.
-2, 0
Let x = -5 + 2. Let l = x + 5. Determine c so that 0*c - 2/3*c**l + 4/3*c**3 - 2/3*c**4 + 0 = 0.
0, 1
Let g(u) be the third derivative of -u**5/20 + 3*u**4/4 - 9*u**3/2 - 4*u**2. Factor g(y).
-3*(y - 3)**2
Factor 2/3*n**2 + 2/9*n + 0.
2*n*(3*n + 1)/9
Suppose 0 = -n + 4*n + 6. Let a be 2*3/((-24)/n). Factor 1/2*v**4 - 1/2*v**2 + a*v + 0 - 1/2*v**3.
v*(v - 1)**2*(v + 1)/2
Suppose -165*n + 162*n = -9. Determine z, given that 0*z**n + 2/3 + 2/3*z**4 + 0*z - 4/3*z**2 = 0.
-1, 1
Let q = 8 - 10. Let a = q + 4. Factor -16/3*h + 10/3*h**a - 2/3*h**3 + 8/3.
-2*(h - 2)**2*(h - 1)/3
Let f(t) = -t**2. Let o(z) = 8*z**2 - 7*z. Let v(u) = -21*f(u) - 3*o(u). Suppose v(l) = 0. What is l?
0, 7
Factor 4/9*d**3 + 0 + 0*d**2 + 0*d - 14/9*d**4.
-2*d**3*(7*d - 2)/9
Let p(i) = -i + 1. Let s(l) = 2 + 4*l + 1 - 11*l - 2*l**2. Let y(x) = 3*p(x) - s(x). Solve y(q) = 0.
-2, 0
Let v(d) be the first derivative of -1/2*d**4 + 0*d - 3 - 2/3*d**3 + 2/5*d**5 + 1/3*d**6 + 0*d**2. Determine n so that v(n) = 0.
-1, 0, 1
Let j = 11 - 9. Determine g so that 3*g**j - 3*g**2 - 6*g - 3*g**2 = 0.
-2, 0
Let r be ((-153)/170)/((-3)/5). Suppose -3/4*t**4 - r*t + 3/2*t**3 + 3/4 + 0*t**2 = 0. Calculate t.
-1, 1
Let a(r) = 6*r**2 + r + 1. Let l be a(-1). Suppose o - l = -o. Let 4 + 2*n**2 - 5*n**2 + 14*n + 4*n**o + 17*n**2 = 0. What is n?
-2, -1, -1/2
Let z be (-4)/(-6)*105/40 - 1. Factor 1/4*n**2 + z*n**3 - 1/2*n + 0.
n*(n + 1)*(3*n - 2)/4
Factor 10408 + 20*a**3 + 8*a**2 + 4*a**5 + 16*a**4 - 10408.
4*a**2*(a + 1)**2*(a + 2)
Let a = -19 + 21. Factor 4*u + 0*u**2 + 2*u**a - u**2 + 3*u**2.
4*u*(u + 1)
Let t(d) be the third derivative of -d**8/1680 + d**7/350 - d**6/300 - 3*d**2. Suppose t(h) = 0. Calculate h.
0, 1, 2
Let j = 4 + -2. Let c(u) = u**2 - 12*u**2 - j*u - u**4 - 2*u + 4*u**3. Let n(z) = -2*z**4 + 8*z**3 - 23*z**2 - 9*z. Let t(m) = 13*c(m) - 6*n(m). Factor t(f).
-f*(f - 2)*(f - 1)**2
Let h(g) = 3 - 2*g**2 + g**3 + 6 + 9*g**2 + g. Let q be h(-7). Factor 5*b**4 + 2 - 2*b**4 - 4*b**q - b**4.
2*(b - 1)**2*(b + 1)**2
Let f(l) be the second derivative of -l**5/4 + 5*l**4/6 - 26*l. Factor f(d).
-5*d**2*(d - 2)
Let x(h) = -14*h**2 + 4*h - 2. Let a(v) = -70*v**2 + 20*v - 11. Let z(k) = -2*a(k) + 11*x(k). Suppose z(q) = 0. What is q?
0, 2/7
Factor 1/2*z**3 + 1/2*z**2 + 0 + 0*z.
z**2*(z + 1)/2
Let k be (-5)/(-25) - 19/120. Let h(p) be the third derivative of k*p**3 + 1/240*p**5 + 0*p + 0 - 1/48*p**4 - p**2. Factor h(q).
(q - 1)**2/4
Suppose -4*f + 5*d + 3 = -0*d, -f = -5*d + 3. Determine s so that 21*s**4 - 26*s**2 - s**3 + 4*s**3 + 5*s**f - 2*s**5 - 7*s**5 + 6*s = 0.
-1, 0, 1/3, 1, 2
Let k = 244 + -156. Find p, given that 16 + k*p + 7/2*p**5 + 136*p**2 + 92*p**3 + 29*p*