g**2 + 0*g. Factor r(s).
2*s**3*(s - 1)*(5*s - 2)/7
Let l(o) = -o**4 + o**3 + o**2 - o - 1. Let g(m) = 12*m**4 - 12*m**3 - 16*m**2 + 8*m + 8. Let k(a) = g(a) + 8*l(a). Let k(q) = 0. What is q?
-1, 0, 2
Let k be 1 + (-4)/4 + 2. Find j such that -2*j**2 - j + k*j - j = 0.
0
Let r(x) be the first derivative of x**3/6 - x**2/2 - 3. Factor r(t).
t*(t - 2)/2
Let 2/11*h**2 - 2/11 + 0*h = 0. Calculate h.
-1, 1
Let i be (-5)/10 - 18/(-4). Suppose -2*d + 0 = -i. Factor 0*t**d - 5/3*t**4 + 0*t - 2/3*t**3 - t**5 + 0.
-t**3*(t + 1)*(3*t + 2)/3
Let n(m) be the first derivative of -m**5/5 - m**4/4 + m**3/3 + m**2/2 - 7. Find f, given that n(f) = 0.
-1, 0, 1
Let r(h) be the second derivative of -h**4/90 + 4*h**2/15 + 5*h. Factor r(q).
-2*(q - 2)*(q + 2)/15
Let x be ((-81)/(-6))/((-3)/(-18)). Let o = 407/5 - x. Factor -2/5*v**5 - 2/5*v**2 + 0 + o*v**4 + 0*v + 2/5*v**3.
-2*v**2*(v - 1)**2*(v + 1)/5
Let y be 0 + -2*(-1)/2. Let t be 44 + (-1 - y) + 2. Find q such that -t*q**2 + 16*q**4 - 46*q**5 + 23*q**4 - 17*q**5 + 3*q**3 + 47*q**3 + 8*q = 0.
-1, 0, 2/7, 2/3
Let z = 165/4 + -41. Find f, given that -1/4*f - z*f**3 - 1/2*f**2 + 0 = 0.
-1, 0
Let z(t) = t**3 - 11*t**2 - 16*t - 4. Let m(x) = -9*x**3 + 87*x**2 + 129*x + 33. Let u(b) = -4*m(b) - 33*z(b). Suppose u(f) = 0. Calculate f.
-4, -1, 0
Let -5/4*x**4 + 3/4*x + 7/2*x**2 - 1/2*x**3 - 1/4*x**5 - 9/4 = 0. What is x?
-3, -1, 1
Find m such that -3*m + 4 + 9*m - m**2 - 9*m = 0.
-4, 1
Let t = 6 - 4. Solve 3*x**3 - 15*x**4 - t*x**2 - 10*x**5 + 22*x**5 + 2*x**2 = 0 for x.
0, 1/4, 1
Factor 14*z**4 - 9*z**4 - 29 - 4*z**3 - 16*z**3 + 15*z**2 + 9 + 20*z.
5*(z - 2)**2*(z - 1)*(z + 1)
Let x(u) be the first derivative of 0*u**2 - 2/3*u**3 - 1/6*u**4 + 8/3*u - 2. Suppose x(c) = 0. What is c?
-2, 1
Let v(q) = q**3 - 4*q**2 - 2*q + 2. Let a be v(4). Let w be (-5)/a - 1/2. Factor 0 - u**4 + 0*u - u**3 - w*u**2 - 1/3*u**5.
-u**2*(u + 1)**3/3
Let l = -251 + 253. Let -2/3 - 10/3*i - 14/3*i**l - 2*i**3 = 0. Calculate i.
-1, -1/3
Let q(z) = -z**3 - 5*z**2 + 11*z. Let y(r) = -3*r**2 + 6*r. Suppose 13 = -4*v - 7. Let g(n) = v*y(n) + 3*q(n). Solve g(b) = 0 for b.
-1, 0, 1
Let x(f) = f**5 + f**3 + f**2 + f - 1. Let r(g) = 10*g**5 + 4*g**4 + 5*g**3 + 15*g**2 + 10*g - 11. Let i(q) = -2*r(q) + 22*x(q). Factor i(z).
2*z*(z - 1)**4
Let v(g) be the third derivative of -g**6/180 - g**5/18 - 2*g**4/9 - 4*g**3/9 + 8*g**2. Factor v(k).
-2*(k + 1)*(k + 2)**2/3
Let l(z) be the third derivative of -z**6/360 + z**5/15 - 2*z**4/3 - z**3/3 + 7*z**2. Let m(c) be the first derivative of l(c). Factor m(q).
-(q - 4)**2
Let m(v) be the third derivative of -49*v**5/150 - 7*v**4/15 - 4*v**3/15 - 8*v**2. Factor m(w).
-2*(7*w + 2)**2/5
Let p(x) = x - 5. Let w(r) = -r**3 - 6*r**2 - 7*r - 4. Let c be w(-5). Let l be p(c). Find n such that 5 - l + n**2 + n - 5*n = 0.
2
Factor 321 - 5*s - 324 - s - 3*s**2.
-3*(s + 1)**2
Let v(t) be the second derivative of -t**5/40 + t**4/6 - t**3/4 + 11*t. Factor v(h).
-h*(h - 3)*(h - 1)/2
Let t = 102/77 - 8/7. Determine r so that -t*r**4 + 0 + 2/11*r**2 - 2/11*r + 2/11*r**3 = 0.
-1, 0, 1
Let m(l) = -l - 7. Let o(g) = -g - 2. Let k be o(7). Let f be m(k). Find b, given that -16*b**3 + 2*b + 11*b**4 + 2*b**4 + 5*b**f - 4*b**4 = 0.
-2/9, 0, 1
Find z such that 19*z - 11*z - 8*z - 2*z**2 + 2*z**4 - z**3 + z**5 = 0.
-2, -1, 0, 1
Let g be 2/(-5) - 51/(-15). Let m = g - 1. Factor 20/9*i**m - 20/9*i**3 - 2/9*i**5 + 10/9*i**4 + 2/9 - 10/9*i.
-2*(i - 1)**5/9
Suppose x + a - 6 = 0, a = -4*x + 9 + 3. Let w be 3/(-1) + x + 1. Factor w + m**4 + 0 - m**3.
m**3*(m - 1)
Suppose 2*a + 14 = 3*a. Let b(l) = l**2 - l. Let r(c) = c**3 + 7*c**2 - 8*c. Let o(x) = a*b(x) - 2*r(x). Factor o(f).
-2*f*(f - 1)*(f + 1)
Suppose -204 = 8*b + 12. Let p = -25 - b. Let w + 1/3*w**3 - w**p - 1/3 = 0. What is w?
1
Suppose -i = -6 + 3. Suppose 2*t**4 + 2*t**3 + t**3 - t**2 + 2 - i*t - 3*t**4 = 0. What is t?
-1, 1, 2
Let o = 119 - 1070/9. Let l(t) be the first derivative of 0*t - o*t**3 - 2 + 0*t**2. Factor l(a).
-a**2/3
Let z(g) be the third derivative of -g**5/15 + g**4/6 - 5*g**2. Determine i so that z(i) = 0.
0, 1
Let u(d) be the second derivative of -d**5/10 + d**4 - 2*d**2 - 5*d. Let l(t) = t**2 + t - 1. Let f(x) = -6*l(x) + u(x). Factor f(w).
-2*(w - 1)**3
Let w(q) be the third derivative of -q**6/360 + q**5/90 - 5*q**2. Suppose w(j) = 0. What is j?
0, 2
Find h such that -28*h**3 + 0*h**3 - 16 + 29*h + 19*h + 59*h**2 - 23*h**2 = 0.
-1, 2/7, 2
Factor 0*b - 133*b**2 + b**4 - 4*b**3 - 2*b + 138*b**2.
b*(b - 2)*(b - 1)**2
Let h(o) be the first derivative of -8 + 1/9*o**3 - o - 1/3*o**2. Factor h(z).
(z - 3)*(z + 1)/3
Suppose 0*l - 63 = 3*l. Let g be 2/l - 12/(-28). Let 2/3*a - g*a**2 - 1/3 = 0. What is a?
1
Let j(l) = -l**3 - l**2 - l - 1. Suppose 0 = 4*a + 5 + 3. Let r(i) = 2*i**4 - 4*i**2 - 4*i - 2. Let z(c) = a*j(c) + r(c). Factor z(q).
2*q*(q - 1)*(q + 1)**2
Let h(q) be the first derivative of 3 + 2*q**3 + 2*q - 3*q**2 - 1/2*q**4. Let h(d) = 0. Calculate d.
1
Let y(l) = 3*l**2 - 11*l + 3. Let z(n) = n**2 - 4*n + 1. Suppose -50 = -4*g + 2*g + 4*s, -2*s + 9 = g. Let d(c) = g*z(c) - 6*y(c). Determine i so that d(i) = 0.
-1
Let q(y) = 192*y**4 + 280*y**3 - 208*y**2 + 32*y. Let s(m) = 193*m**4 + 280*m**3 - 208*m**2 + 32*m. Let b(k) = 3*q(k) - 4*s(k). Factor b(l).
-4*l*(l + 2)*(7*l - 2)**2
Let q be (-8)/5*-1 + 1/5. Factor -q*f**3 + 0*f - 6/5*f**2 + 0.
-3*f**2*(3*f + 2)/5
Let u(l) = l**3 - 3*l**2 + 3. Let z be u(3). Factor k**z - k + 2*k + k**5 - 3*k**3.
k*(k - 1)**2*(k + 1)**2
Let u(x) be the third derivative of -x**5/15 + x**4/8 + x**3/6 - 12*x**2. Determine a, given that u(a) = 0.
-1/4, 1
Let d(f) be the second derivative of f**4/28 - 3*f**3/14 - 6*f**2/7 + 8*f. Let d(o) = 0. Calculate o.
-1, 4
Let b be ((-10)/(-225))/((-4)/(-20)). Factor b*r**2 - 4/9*r + 2/9.
2*(r - 1)**2/9
Let o(r) be the second derivative of -r**4/6 + 4*r**3/7 + 4*r**2/7 + 2*r. Factor o(i).
-2*(i - 2)*(7*i + 2)/7
Let x(s) = -64*s**4 - 30*s**3 + 20*s**2 - 14*s. Let b(p) = 13*p**4 - 4*p**2 + 3*p + 6*p**3 - 7 + 7. Let n(l) = 14*b(l) + 3*x(l). Let n(h) = 0. What is h?
-1, 0, 2/5
Let z be (-8)/(-5)*(-5)/(-2). Suppose 3*k - k + 3*j = -6, 5*k = -z*j - 1. Factor 0 + 8/7*d + 2/7*d**k - 8/7*d**2.
2*d*(d - 2)**2/7
Determine s so that 3/5*s**3 + 1/5*s**4 - 4/5*s + 0*s**2 + 0 = 0.
-2, 0, 1
Let w(x) = 13*x**2 + 3*x - 7. Let n(r) = r**2 - r + 1. Let p(f) = -3*n(f) - w(f). Factor p(h).
-4*(2*h - 1)*(2*h + 1)
Factor 29 + 5*m**2 + 9 + 1 + 60*m + 16.
5*(m + 1)*(m + 11)
Determine z so that -6*z**4 - 7*z**3 + 12*z**3 + z**4 + 5*z**3 = 0.
0, 2
Let g(p) be the third derivative of -p**5/120 + p**4/24 + 10*p**2. Suppose g(k) = 0. Calculate k.
0, 2
Let n be 3/((-30)/(-4))*90/72. Factor -1/2*g**5 + 0 - 3/2*g**3 + 0*g - 3/2*g**4 - n*g**2.
-g**2*(g + 1)**3/2
Let y = 109 + -543/5. Solve 2/5*q - y*q**2 + 4/5 = 0.
-1, 2
Let r(d) be the first derivative of -d**6/2340 + d**4/156 - 7*d**3/3 - 3. Let w(o) be the third derivative of r(o). Determine p so that w(p) = 0.
-1, 1
Suppose -1/2*n**2 - 9/2*n - 7 = 0. What is n?
-7, -2
Let z(b) = -b**2 - 11*b + 12. Let i be z(-12). Factor i*o + 2*o**4 - 2*o**2 - 4*o**3 - o + 5*o.
2*o*(o - 2)*(o - 1)*(o + 1)
Let x(o) be the first derivative of 0*o - 8/21*o**3 - 4 + 4/7*o**2 + 1/14*o**4. Determine d so that x(d) = 0.
0, 2
Determine f so that -4/5*f**4 + 0*f**3 + 0*f + 0*f**2 + 1/5*f**5 + 0 = 0.
0, 4
Let i(n) = -n**3 + 6*n**2 - 4*n - 4. Let z be i(5). Let q be 3 - (z + 2 - 2). Solve 14*d**5 - 4*d**4 - 32*d**3 - 14*d**2 - 5*d**4 - d**4 + 6*d**q = 0.
-1, -2/7, 0, 2
Let l = -25 - -25. Let h(f) be the second derivative of 1/36*f**4 - 1/90*f**6 + 0*f**3 - f + 0*f**2 + 0*f**5 + l. Let h(x) = 0. What is x?
-1, 0, 1
Factor -9*a - 14*a**2 + 0 + 17*a**2 + 6.
3*(a - 2)*(a - 1)
Factor -6 - 105*v**2 + 93*v**2 - 4*v + 4*v**3 + 4*v**4 + 14.
4*(v - 1)**2*(v + 1)*(v + 2)
Let m be 16/12 - (3 - 2). Determine u, given that -m*u**2 + 0 + 2/3*u**3 - 1/3*u**4 + 0*u = 0.
0, 1
Let c(m) be the third derivative of -m**8/336 - 8*m**2. Factor c(h).
-h**5
Factor 0*w + 1/2*w**2 + 0.
w**2/2
Let h be (2/(-28))/((-1)/7*2). Factor -1/2*q**3 + 1/4*q**4 + h*q**2 + 0*q + 0.
q**2*(q - 1)**2/4
Solve 0*o - 1/5*o**3 + 0 - 1/5*o**5 + 0*o**2 - 2/5*o**4 = 0 for o.
-1, 0
Let f be (-2)/(-7) - (-620)/35. Let n = -13 + f. Factor -4*a**5 + a 