Factor -2*y + 2/5*y**2 - 12/5.
2*(y - 6)*(y + 1)/5
Let r(m) be the third derivative of 0*m + 1/36*m**4 - 1/315*m**7 + 0 + 1/504*m**8 - 1/90*m**6 + 1/45*m**5 - 1/9*m**3 + m**2. Factor r(i).
2*(i - 1)**3*(i + 1)**2/3
Let w(i) be the first derivative of i**2/2 + 7*i + 3. Let y be w(-5). Find c, given that 3*c - 5*c - 4*c**3 - y*c**5 + 8*c**3 = 0.
-1, 0, 1
Let l(z) be the second derivative of 4*z**4 + 68*z**3 + 867*z**2/2 - 5*z + 2. Factor l(s).
3*(4*s + 17)**2
Let -z**3 + 9*z**3 - 5*z**5 - 3*z**3 = 0. What is z?
-1, 0, 1
Let g(w) = 3*w**3 + 5*w**2 - 14*w + 11. Let l(y) = 3*y**3 - 8*y + 13 - 3 + 4*y**2 - 5*y. Let v(i) = 4*g(i) - 5*l(i). Factor v(t).
-3*(t - 1)**2*(t + 2)
Let v(w) be the third derivative of -w**5/210 + 2*w**4/21 - 16*w**3/21 - 13*w**2. Let v(d) = 0. What is d?
4
Let s be 0 - 1 - -38*1. Let z = 149/4 - s. Solve 0*y**2 - 1/4*y**4 - 1/2*y**3 + 1/2*y + z = 0.
-1, 1
Let q be (27*-1)/(51/34). Let z = q - -20. Solve -2/7*p**z + 0 + 6/7*p**3 - 4/7*p = 0.
-2/3, 0, 1
Let x = 25 + -24. Let d(j) = j**4 - j - 1. Let a(g) = g**4 + 5*g**3 + 2*g**2 + g + 1. Let y(f) = x*a(f) + d(f). Factor y(q).
q**2*(q + 2)*(2*q + 1)
Factor a**2 + 5*a - 2*a**2 - 3*a - 1.
-(a - 1)**2
Factor 9/4*g**2 - 15/4*g**3 + 3/4*g**4 + 0 + 27/4*g.
3*g*(g - 3)**2*(g + 1)/4
Determine t so that 7/2*t**4 + 1/2*t**5 - 15/2*t + 7*t**3 + t**2 - 9/2 = 0.
-3, -1, 1
Suppose 4*n + 0*n = 4. Suppose 0 = f - 0*f - 3. Factor f*b + 3 - 3*b**3 + n + 3*b**2 - 7.
-3*(b - 1)**2*(b + 1)
Let g(u) = 2*u**3 + u**2 - u - 1. Let p be g(-1). Let c = p - -1. Let -m**4 - m**5 + m**2 + m**3 + c*m**4 + 0*m**4 = 0. What is m?
-1, 0, 1
Let t(y) be the second derivative of y**4/3 + 22*y**3/3 + 20*y**2 - 46*y. Let t(n) = 0. Calculate n.
-10, -1
Let m(q) be the third derivative of q**8/6720 + q**7/1680 + q**6/1440 - q**3/6 - 3*q**2. Let h(n) be the first derivative of m(n). Factor h(l).
l**2*(l + 1)**2/4
Let h = 4 + 3. Determine o, given that -2*o**2 + h*o**3 - 2*o**5 + 0*o**4 + 5*o**4 - o**3 - 4*o - 3*o**4 = 0.
-1, 0, 1, 2
Solve 0 - 4/7*n**3 + 0*n**2 + 16/7*n = 0.
-2, 0, 2
Suppose x**3 + 1/3*x + 5/3*x**2 - 1/3 = 0. What is x?
-1, 1/3
Factor -5/2*d**3 - 20*d + 25/2*d**2 + 10.
-5*(d - 2)**2*(d - 1)/2
Suppose 4*m + 16 = 0, 3*q = 4*m + m + 26. Factor 8/11*u + 6/11 + 2/11*u**q.
2*(u + 1)*(u + 3)/11
Let n be (0 + 3)/3*2. Factor 4*b**3 + n + 0 - 4*b**2 - 2.
4*b**2*(b - 1)
Let v(m) = m**3 - 4*m**2 + 4. Let d be v(4). Factor -4*k + 0*k**5 - d*k**4 + 6*k**4 - k**5 + 5*k - 2*k**2.
-k*(k - 1)**3*(k + 1)
Suppose -9 = p - 12. Let i(s) be the first derivative of 4/7*s + 2/7*s**p - 5/7*s**2 - 2. Factor i(y).
2*(y - 1)*(3*y - 2)/7
What is b in 1/5*b**4 + 0*b**3 - 1/5*b**2 + 0*b + 0 = 0?
-1, 0, 1
Factor -6*s**4 - 10*s + 4*s**2 + 6*s + 2*s**4 + 4*s**3.
-4*s*(s - 1)**2*(s + 1)
Suppose -n - 9 = -2*l + 2*n, 5*n = -l - 2. Factor 3*d**2 + d + l + d**3 + d - 3.
d*(d + 1)*(d + 2)
Factor 0 - 1/7*g**3 - 4/7*g**2 - 4/7*g.
-g*(g + 2)**2/7
Let u(i) be the first derivative of -1/6*i**4 - 8/9*i**3 + 0*i + 6 - 4/3*i**2. Factor u(t).
-2*t*(t + 2)**2/3
Let n(k) be the third derivative of 1/1344*k**8 + 1/96*k**4 - 1/240*k**6 + 0*k**3 + 0*k**5 + 0*k + 0 - 3*k**2 + 0*k**7. Solve n(u) = 0.
-1, 0, 1
Let f(g) be the third derivative of g**6/720 - g**5/360 - g**4/144 + g**3/36 - 3*g**2. Factor f(u).
(u - 1)**2*(u + 1)/6
Factor 0*v**3 + 0 - 3/5*v - 6/5*v**4 + 6/5*v**2 + 3/5*v**5.
3*v*(v - 1)**3*(v + 1)/5
Let n(d) be the second derivative of 0*d**4 + 1/126*d**7 + 0*d**2 + 0 + 0*d**5 - 1/90*d**6 + 9*d + 0*d**3. Factor n(v).
v**4*(v - 1)/3
Suppose -7*u = -3*u + 16, -u + 116 = 4*y. Let i be 53/y + (-9)/54. Let 16/5*s**5 + 8/5*s + i*s**4 - 2/5*s**2 - 2/5 - 4*s**3 = 0. Calculate s.
-1, 1/2
Let j(i) = i**3 + 12*i**2 + 19*i - 6. Let f be j(-10). Let z(s) be the third derivative of -1/18*s**f + 0*s - 1/9*s**3 - 4*s**2 - 1/90*s**5 + 0. Factor z(d).
-2*(d + 1)**2/3
Let m(v) be the second derivative of v**7/30 + v**6/75 - 7*v**5/50 - v**4/15 + 7*v**3/30 + v**2/5 + 4*v. Suppose m(k) = 0. What is k?
-1, -2/7, 1
Let c = 985 - 981. Find p, given that -14/5*p**3 + 8/15*p + 8/15*p**2 + 0 + 6/5*p**c = 0.
-1/3, 0, 2/3, 2
Let h = -117/2 - -237/4. Factor -h*s**4 + 3/4*s**3 + 0 + 3/2*s**2 + 0*s.
-3*s**2*(s - 2)*(s + 1)/4
Let h(q) be the first derivative of q**6/1800 + q**5/600 + 5*q**3/3 + 3. Let j(b) be the third derivative of h(b). Find c, given that j(c) = 0.
-1, 0
Let i(k) = -6*k**2 - 8*k - 2. Let a(r) = -r**2 - r. Let b(c) = -5*a(c) + i(c). Determine f so that b(f) = 0.
-2, -1
Let -j**2 + 0 + 130*j**3 - 7*j**2 - 4*j**5 + 4*j**4 + 4 - 122*j**3 - 4*j = 0. Calculate j.
-1, 1
Let p(z) be the first derivative of -z**3/4 + 9*z**2/8 - 3*z/2 + 54. Factor p(c).
-3*(c - 2)*(c - 1)/4
Let z(a) = 2*a**3 + 3*a**2 - 8*a + 13. Let t(r) = -2*r**3 - 4*r**2 + 8*r - 14. Let c(h) = -5*t(h) - 6*z(h). Solve c(n) = 0.
-2, 1, 2
Let j(x) = -x - 1. Let v(f) = -2*f**2 - f - 3. Let c(y) = y - 1. Let q(s) = 2*c(s) - v(s). Let h = 2 - 3. Let g(d) = h*j(d) - q(d). Factor g(m).
-2*m*(m + 1)
Suppose -2*m - 2*f + 2 = -f, 0 = -2*m - 4*f + 8. Let 2*k**2 + 8/3*k**3 + m - 2/3*k = 0. What is k?
-1, 0, 1/4
Let v(c) = -c**3 + c**2 + 6*c - 4. Let s be v(-3). Let b = s - 12. Determine t so that 0*t - 1/4*t**b + 1/4 = 0.
-1, 1
Let r(d) be the third derivative of -d**6/300 - d**5/15 - 5*d**4/12 - 10*d**2. Factor r(l).
-2*l*(l + 5)**2/5
Let x = 68 - 65. Factor -12*p + 0 + 8*p**2 - 4/3*p**x.
-4*p*(p - 3)**2/3
Let m(p) = p**2 - 19*p - 89. Let i be m(23). Factor -3/2*b**2 + 9/2*b**i - 5/2*b - 1/2.
(b - 1)*(3*b + 1)**2/2
Let l = 279/737 - 1/67. Factor -18/11*r - 14/11*r**2 - l.
-2*(r + 1)*(7*r + 2)/11
Let o = -62 - -249/4. What is s in 1 + o*s**2 + s = 0?
-2
Let d(u) be the second derivative of u**5/140 + u**4/28 - 2*u**3/21 - 8*u. Factor d(n).
n*(n - 1)*(n + 4)/7
Determine m, given that -3/7*m**2 - 2/7*m + 0 + 27/7*m**3 + 4*m**4 = 0.
-1, -1/4, 0, 2/7
Let x(y) = y + 4. Let h(i) = 2*i + 7. Let j(b) = 4*h(b) - 7*x(b). Let v(m) = -m**3 + 5*m. Let a(f) = 4*j(f) - v(f). Factor a(u).
u*(u - 1)*(u + 1)
Let p = 2386/1393 + 2/1393. Factor -24/7*z - p - 9/7*z**2.
-3*(z + 2)*(3*z + 2)/7
Let u(r) = -r**2 + 5*r + 1. Let z(b) = 4*b. Let c(g) = -4*u(g) + 5*z(g). Solve c(n) = 0 for n.
-1, 1
Suppose 0 = -2*y - 3*y + 30. Suppose 3 = w - 2. Suppose w*b**2 - 5*b**2 - 9*b**5 + y*b**4 + 3*b**3 = 0. Calculate b.
-1/3, 0, 1
Let z(n) be the third derivative of -n**5/20 + n**4/4 - n**3/2 - 2*n**2. Factor z(h).
-3*(h - 1)**2
Let d(k) = 8*k + 1. Let y be d(-1). Let u be y/((-196)/(-48)) + 2. Factor 2/7*x**4 + u*x**2 - 4/7*x**3 + 0*x + 0.
2*x**2*(x - 1)**2/7
Let d(f) = -3*f**5 - 6*f**3 - 6*f**2 + 9*f. Let r(i) = 3*i**5 - i**4 + 5*i**3 + 6*i**2 - 8*i. Let c(x) = -5*d(x) - 6*r(x). Factor c(o).
-3*o*(o - 1)**3*(o + 1)
Let g(b) be the second derivative of -5*b**7/42 - b**6/3 + b**5/4 + 5*b**4/6 + 18*b. Determine a, given that g(a) = 0.
-2, -1, 0, 1
Suppose 3*i + 0*i + 63 = 0. Let r = -19 - i. What is l in 8/3*l**4 - 2/3*l**2 - r*l**3 + 0 + 0*l = 0?
-1/4, 0, 1
Factor 0 + 1/6*r**5 - 2/3*r**2 - 1/6*r**3 + 0*r + 2/3*r**4.
r**2*(r - 1)*(r + 1)*(r + 4)/6
Let l(s) be the second derivative of 1/36*s**4 + 0 + 2*s + 1/18*s**3 - 1/2*s**2 + 1/180*s**5. Let x(o) be the first derivative of l(o). Factor x(t).
(t + 1)**2/3
Let r be (-11 + 14)*(0 + 1). Suppose -3 + r*q + 2*q**2 + 1 - 3*q = 0. Calculate q.
-1, 1
Let k(c) be the second derivative of -c**6/5 + 9*c**5/20 - c**3/2 - 15*c. Determine x, given that k(x) = 0.
-1/2, 0, 1
Find w such that -13/7*w**2 - 6/7*w**3 - 12/7*w - 4/7 - 1/7*w**4 = 0.
-2, -1
Let l(q) be the third derivative of -q**7/2520 + q**5/360 + q**3/2 - 2*q**2. Let x(c) be the first derivative of l(c). Factor x(w).
-w*(w - 1)*(w + 1)/3
Suppose -10 = -4*b - 2*c + 3*c, -5*b - c + 17 = 0. Solve 0*s - 6*s**2 - 3 - 2*s**5 - 4*s**b - s**5 + 9*s**4 + 9*s - 2*s**3 = 0.
-1, 1
Let k(m) be the second derivative of -m**7/168 + m**5/40 - m**3/24 - 3*m. Factor k(r).
-r*(r - 1)**2*(r + 1)**2/4
Let d(j) be the first derivative of -2*j**5/5 - j**4 + 2*j**2 + 2*j + 13. Factor d(y).
-2*(y - 1)*(y + 1)**3
Let x be ((-112)/105 - (-4)/10)*-1. Let g(p) be the first derivative of 4*p + x*p**3 - 1 + 3*p**2. Determine d, given that g(d) = 0.
-2, -1
Find k such that -6/11 - 26/11*k - 8/11*k**3 - 32/11*k**2 = 0.
-3, -1/2
Let o(d) = -d**2. Let h(j) = 6*j**2 + 6*j + 8. Let t(k