n?
-2, 2/5
Let t(d) = d**2 - 7*d - 18. Let c be t(9). Let 1 + 3/2*g + c*g**2 - 1/2*g**3 = 0. What is g?
-1, 2
Let h = -14 - -29/2. Factor 0 - h*c**2 + 0*c.
-c**2/2
Let v(j) be the third derivative of -j**5/15 - 4*j**4/3 - 32*j**3/3 + 14*j**2. Factor v(o).
-4*(o + 4)**2
Let t(w) = -2. Let i(c) = -9*c**2 + 6*c - 30. Let q(d) = -i(d) + 15*t(d). Determine v so that q(v) = 0.
0, 2/3
Let i = 11 + -7. Let p = -23 - -26. What is y in 0 + 0*y**2 + 0*y**i + 2/3*y**p - 1/3*y - 1/3*y**5 = 0?
-1, 0, 1
Suppose 10 - 1 = 3*h. Determine s, given that -s**3 + 4*s**3 - 2*s**h + 0*s**2 + s**2 = 0.
-1, 0
Let m(y) = -y**3 + 7*y**2 + 2. Let b be m(7). Solve 3*s**2 - 2*s**b - 3*s**2 + 2 = 0.
-1, 1
Let f(i) = -i**2 + 12*i - 17. Let z be f(10). What is q in -3/4*q + 3/4*q**z + 0*q**2 + 0 = 0?
-1, 0, 1
Let v(t) be the first derivative of -3 + 1/7*t**2 + 0*t - 2/21*t**3. Determine g so that v(g) = 0.
0, 1
Let m(y) = y**2 - 9*y + 3. Let o be m(9). Suppose z + 1 = -3*i + 6*z, -z = -o*i + 7. Determine v, given that -i*v**4 + 8*v - 7*v**3 + v**4 + v**3 = 0.
-2, 0, 1
Let m(w) be the first derivative of 0*w**3 + 0*w + 1/24*w**6 + 1/8*w**2 - 1/8*w**4 + 0*w**5 - 1. Factor m(r).
r*(r - 1)**2*(r + 1)**2/4
Let c(a) be the first derivative of -5/3*a**4 + 5*a**2 - 3*a - 13/9*a**3 + 4 - 4/15*a**5. Factor c(r).
-(r + 3)**2*(2*r - 1)**2/3
Factor -9*d**3 + 3*d**2 + 4*d**4 - d**4 + 15*d**3.
3*d**2*(d + 1)**2
Let r(h) be the second derivative of -h**4/3 + 20*h**3/3 - 50*h**2 - 2*h. Factor r(o).
-4*(o - 5)**2
Solve 0 + 0*p + 4/7*p**2 - 4/7*p**3 = 0.
0, 1
Factor -z**3 - 4*z**3 + z**2 + 6*z**3.
z**2*(z + 1)
Let z be (-1)/2 - 147/(-14). Factor 2*l - 1 - z*l**2 - 1 + 2 + 8*l**3.
2*l*(l - 1)*(4*l - 1)
Solve -1/3*z**4 - 2/3*z + 2/3*z**3 + 1/3*z**2 + 0 = 0 for z.
-1, 0, 1, 2
Suppose 4*y - 18 - 34 = -5*x, 13 = y - 2*x. Let h = y + -9. Factor -3/2*k**2 + 1/2*k + 0 - 1/2*k**h + 3/2*k**3.
-k*(k - 1)**3/2
Factor 0 - d**2 - 3/4*d - 1/4*d**3.
-d*(d + 1)*(d + 3)/4
Let c(j) = -j**3 - j**2 + j - 1. Let r(g) = 8*g**3 + 6*g**2 - 8*g + 14. Let n(x) = -10*c(x) - r(x). Solve n(y) = 0.
-2, -1, 1
Let a be (3/1)/(27/4). Let h be (-7)/21 + (-13)/(-9) + 0. Determine m so that h*m + 2/3*m**2 + a = 0.
-1, -2/3
Determine u so that 8*u - 8*u + 18*u**3 - 21*u**3 + 18*u + 3*u**2 = 0.
-2, 0, 3
Let b be -1 - (-475)/315 - 4/14. Let t(n) be the first derivative of b*n**3 - 1 + 1/3*n**2 + 0*n. Let t(s) = 0. Calculate s.
-1, 0
Let t(l) = 2*l**2 + 22*l + 40. Let p be t(-9). Factor 4/3*d**2 + 0*d**3 - 2/3*d**p - 2/3 + 0*d.
-2*(d - 1)**2*(d + 1)**2/3
Let g(y) = 5*y**4 + 25*y**3 + 55*y**2 + 25*y. Let l(j) = -j**3. Let f(a) = -g(a) + 10*l(a). Factor f(r).
-5*r*(r + 1)**2*(r + 5)
Let f(z) = -z**3 + z. Let w(r) = -4*r**3 + 4*r. Let d(u) = 7*f(u) - 2*w(u). Determine i so that d(i) = 0.
-1, 0, 1
Let j(q) be the second derivative of 7*q**6/15 + q**5/2 - 8*q**4/3 + 4*q**3/3 + 13*q. Let j(m) = 0. Calculate m.
-2, 0, 2/7, 1
Let c be -3 + 1735/315 + (-4)/18. Factor -c + 10/7*x**3 + 12/7*x**2 - 8/7*x + 2/7*x**4.
2*(x - 1)*(x + 2)**3/7
Let g(u) be the second derivative of -u**4/16 + u**3 - 6*u**2 + 11*u. Factor g(w).
-3*(w - 4)**2/4
Let n = -239 + 240. Solve -q**2 - 7/2*q - n + 3/2*q**3 = 0.
-1, -1/3, 2
Let w(z) be the second derivative of -3/20*z**5 - 1/6*z**3 + 0 + 1/4*z**4 + 1/30*z**6 + 0*z**2 - 4*z. Solve w(x) = 0 for x.
0, 1
Let g(j) = 30*j**3 + 10*j**2 - 20*j. Let b(o) = o**3 + o**2 + o + 1. Let x(m) = -25*b(m) + g(m). Factor x(w).
5*(w - 5)*(w + 1)**2
Let r(g) be the first derivative of -1/22*g**4 + 0*g**2 + 1/33*g**6 - 2/55*g**5 + 0*g + 2/33*g**3 + 5. Suppose r(y) = 0. Calculate y.
-1, 0, 1
Let q be (-8)/(-6)*(-3)/(-2). Suppose q*z = 10, 4*i + 4*z - 30 = -2. Factor 3/2*d**i + 6*d + 6.
3*(d + 2)**2/2
Let u(t) = -t**2 - 25*t + 26. Let g be u(-26). Factor 0*h + 2/5*h**3 + g - 8/5*h**5 + 6/5*h**4 + 0*h**2.
-2*h**3*(h - 1)*(4*h + 1)/5
Let c(s) be the first derivative of 0*s**2 - 2/5*s**5 + 3 + 0*s + 1/3*s**6 + 2/3*s**3 - 1/2*s**4. Factor c(y).
2*y**2*(y - 1)**2*(y + 1)
Let o(b) = b**3 - 2*b + 2. Let h = -2 + 4. Let m(p) = -2*p**3 + p**2 + 3*p - 3. Let w(n) = h*m(n) + 3*o(n). Factor w(l).
-l**2*(l - 2)
Suppose -6 = -p - 3*b, 5*p - 2*b - 19 = -6. Let v(l) be the second derivative of 0 - 1/9*l**2 - 2/27*l**3 - 1/54*l**4 - p*l. Factor v(i).
-2*(i + 1)**2/9
Let z(n) be the second derivative of 3*n + 0 + 1/20*n**5 + 1/6*n**4 + 0*n**2 + 1/6*n**3. Find d, given that z(d) = 0.
-1, 0
Let f(g) = 15*g**3 - 7*g**2 - 5*g - 27. Let l(u) = -8*u**3 + 4*u**2 + 2*u + 14. Let x(b) = 6*f(b) + 11*l(b). Factor x(j).
2*(j - 2)*(j + 1)*(j + 2)
Let f(q) = -q**3 + 6*q**2 + 2*q - 9. Let s be f(6). Suppose -4 = -g - 4*w, 3*g + 4*w - 23 = s*w. Suppose -u**3 + g*u**4 - u**3 + 0*u**3 = 0. Calculate u.
0, 1/4
Let o be 104/18 - (-16)/72. Let n(j) be the first derivative of 1/12*j**o + 0*j**2 - 3/10*j**5 + 0*j - 1/6*j**3 + 4 + 3/8*j**4. Let n(k) = 0. What is k?
0, 1
Let m be 19/4 + (-36)/48. Factor i**4 + m*i**2 + 4*i - i**3 + 2*i**2 + 1 + 5*i**3.
(i + 1)**4
Let m(q) be the first derivative of -70*q**3/3 + 55*q**2/2 - 10*q - 11. Let m(o) = 0. Calculate o.
2/7, 1/2
Let i(v) = 10*v**2 - 5*v - 6. Let y(s) = 90*s**2 - 45*s - 55. Let h(a) = -55*i(a) + 6*y(a). Factor h(j).
-5*j*(2*j - 1)
Suppose -2*t = -2*z - 8, -t - 9 + 1 = 5*z. Factor 0*s + s - s + s - s**t.
-s*(s - 1)
Let r be ((-2)/(-7))/(1/7). Suppose 2*f - 8 = r*m - f, -3*f + 14 = m. Factor 4/3 + 4/3*l**m + 10/3*l.
2*(l + 2)*(2*l + 1)/3
Let w(a) be the third derivative of 0 + 1/60*a**6 + 4/45*a**5 - 6*a**2 + 0*a + 0*a**3 + 1/9*a**4. Factor w(j).
2*j*(j + 2)*(3*j + 2)/3
Let o = -3/7 - -13/14. Let k(c) be the second derivative of -c + 0 + o*c**3 - 1/12*c**4 - c**2. Factor k(w).
-(w - 2)*(w - 1)
Let l(c) = -c**3 + 2*c**2 + 3*c + 4. Let s be l(3). Suppose 4*f = -5*b - 6, -3*f + f = 4*b. Suppose -b*w**3 + 3*w**s + 4*w**4 + 5*w**5 - 4*w**4 = 0. What is w?
-1, 0, 2/5
Let q be 0*(0 - 1) + 2. Suppose -i + q = -1. Factor -4*t**2 - 2*t + 2*t**3 - 2*t**i - 2*t**3.
-2*t*(t + 1)**2
Let g(f) be the third derivative of -f**8/1344 - f**7/420 + f**6/160 + f**5/60 - f**4/24 - 17*f**2. Factor g(t).
-t*(t - 1)**2*(t + 2)**2/4
Determine y, given that 3/7*y**2 - 1/7*y**4 + y**3 - 23/7*y + 2 = 0.
-2, 1, 7
Let b(a) = -4*a - 1. Let d be b(-1). Suppose 0*k - 15 = k - 3*n, d*k = 2*n - 10. Determine z, given that -z**2 + 0*z**3 + z**3 + 2*z**2 + k*z**2 = 0.
-1, 0
Let d = -4 + 7. What is a in -7*a**5 + 2*a**4 + 0*a**d + 2*a**3 - 2*a**2 + 5*a**3 = 0?
-1, 0, 2/7, 1
Determine c, given that 2/3*c**3 + 10/3*c**2 + 8/3 + 16/3*c = 0.
-2, -1
Let t(w) be the second derivative of -w**5/70 + w**4/21 + w**3/7 + 2*w. Let t(c) = 0. What is c?
-1, 0, 3
Factor 2*s + 2*s**2 - 10*s - 6*s**2.
-4*s*(s + 2)
Factor -1/3*s**3 + 0*s + 1/3*s**2 + 0.
-s**2*(s - 1)/3
Let x(v) be the third derivative of 0*v**3 + 0*v + 1/6*v**4 - 5*v**2 - 1/15*v**5 + 0. Factor x(q).
-4*q*(q - 1)
Suppose -24*t**3 - 67 + 21*t**5 + 67 - 18*t**2 + 18*t**4 + 3*t = 0. Calculate t.
-1, 0, 1/7, 1
Let p(k) be the second derivative of -2*k**6/15 - k**5/20 + k**4/3 + k**3/6 + 2*k. Find i, given that p(i) = 0.
-1, -1/4, 0, 1
Suppose 9*r - 20 = 4*r. Find x such that x**r + 7/2*x**3 + 0*x - x**2 - 7/2*x**5 + 0 = 0.
-1, 0, 2/7, 1
Suppose -w - 3*o - 9 = -1, 3*o - 4 = -4*w. Factor -w*r + 2 + 3*r + r**2 - 4.
(r - 2)*(r + 1)
Let f = 198/371 + 2/53. Let 0 + f*k + 8/7*k**3 - 2/7*k**4 - 10/7*k**2 = 0. Calculate k.
0, 1, 2
Factor -1/5*s**2 - 1/5 - 2/5*s.
-(s + 1)**2/5
Let a(q) = q**3 - 8*q**2 + 9*q - 12. Suppose -7 = 9*w - 10*w. Let n be a(w). Factor -2/7*o**3 + 0*o**n + 2/7*o - 1/7*o**4 + 1/7.
-(o - 1)*(o + 1)**3/7
Let l(p) be the third derivative of 17*p**5/40 + p**4/8 + 16*p**2. Find j such that l(j) = 0.
-2/17, 0
Let p = 2/45 - 1/36. Let k(r) be the second derivative of -p*r**6 - 1/20*r**5 + 1/4*r**2 + 1/6*r**3 + 0 - r + 0*r**4. Factor k(u).
-(u - 1)*(u + 1)**3/2
Let o = -1/10 + 1/2. Factor -1/5 - 1/5*c**2 + o*c.
-(c - 1)**2/5
Let b be (4 + 16/(-4))/(-2). Factor 0*m**2 + 0*m + 1/2*m**3 + b + 3/4*m**4 + 1/4*m**5.
m**3*(m + 1)*(m + 2)/4
Let j(l) = 2*l**2. Let u be 8/12 - (-1)/3. Let x be j(u). Factor -2*t**3 - 2 + 2*t**2 + 1 - x + 1 + 2*t.
-2*(t - 1)**2*(t + 1)
Factor -8*o - 5*o**5 - 4 - 10*o**2 - 5 + 15*o**4 + 4 - 10*o**3 + 23*o.
-5*(o - 1)**4*(o + 1)
Factor 0*o - 2/5*o**4 + 0 + 12/5*o**2 + 2/5*o**3.
-2*o**2*(o - 3