 = 0. Calculate h.
-1, -2/3, 0
Let x(d) be the second derivative of 2*d**7/105 + 2*d**6/15 + 3*d**5/25 - d**4/3 - 8*d**3/15 + 6*d. Determine p, given that x(p) = 0.
-4, -1, 0, 1
Let o(s) be the second derivative of 1/45*s**6 - 1/36*s**3 + 0*s**2 - 1/18*s**4 + 0 + 3*s + 1/120*s**5. Find p, given that o(p) = 0.
-1, -1/4, 0, 1
Suppose -2 = -x + 2*x. Let t be x/2*(-3)/9. Solve 2/3*b**2 - 1/3*b - 2/3 + t*b**3 = 0.
-2, -1, 1
Let t be 1*-1 - (-14)/7. Let i(m) = 2*m**2 + 3*m - t + m**2 - m - 1. Let r(y) = 15*y**2 + 11*y - 11. Let w(h) = 11*i(h) - 2*r(h). Factor w(f).
3*f**2
Let i(f) = -4*f**3 + 4*f**2 + 9*f - 4. Let g(c) = 4*c**3 - 4*c**2 - 8*c + 4. Let k(d) = 5*g(d) + 4*i(d). Find m, given that k(m) = 0.
-1, 1
Let m(b) = b**2 + 2*b + 2. Let r = 3 + -5. Let j be m(r). Let 8/5*f + 12/5*f**j + 2/5*f**4 + 8/5*f**3 + 2/5 = 0. Calculate f.
-1
Let w = 13572/385 - 246/7. Let z(b) be the first derivative of -4/11*b**3 - w*b**5 + 1 + 4/11*b**4 + 2/11*b + 0*b**2. Factor z(o).
-2*(o - 1)**3*(3*o + 1)/11
Factor 0 - 2/7*k + 2/7*k**2.
2*k*(k - 1)/7
Suppose 2*o = 3 + 1. Let c(g) be the second derivative of 1/135*g**6 - 1/90*g**5 + 0*g**o - 1/54*g**4 + 1/189*g**7 - 2*g + 0 + 0*g**3. Factor c(l).
2*l**2*(l - 1)*(l + 1)**2/9
Determine f so that 3/4*f**2 + 1/2*f - 1/4 = 0.
-1, 1/3
Factor 0*t - 5*t - 3*t**3 - 15*t**2 - 12 - 19*t.
-3*(t + 1)*(t + 2)**2
Let o(n) be the first derivative of -n**4/18 + n**3/9 + 9*n + 3. Let y(m) be the first derivative of o(m). Factor y(h).
-2*h*(h - 1)/3
Let q be 4/12 - (-3292)/(-30). Let k = 111 + q. Factor 16/5*p + 2/5*p**3 - k - 2*p**2.
2*(p - 2)**2*(p - 1)/5
Let o = 71 - 353/5. Factor 8/5 + 0*a - o*a**2.
-2*(a - 2)*(a + 2)/5
Let d(y) be the first derivative of y**7/105 - y**6/30 + y**4/6 - y**3/3 - 11*y**2/2 + 8. Let a(i) be the second derivative of d(i). Let a(m) = 0. What is m?
-1, 1
What is v in 5838*v - 5838*v + 4*v**2 - 8*v**3 - 5*v**4 = 0?
-2, 0, 2/5
Solve 0 + 1/3*s**5 - s**3 - 1/3*s**2 + 1/3*s**4 + 2/3*s = 0.
-2, -1, 0, 1
Solve 26 + 2*v + 7*v**3 - 2*v**3 - 26 - 7*v**2 = 0.
0, 2/5, 1
Determine p, given that 42/13*p**2 + 10*p + 4/13*p**4 + 50/13 - 34/13*p**3 = 0.
-1, -1/2, 5
Let c(l) be the second derivative of -4*l**7/21 - l**6/3 + 3*l**5/10 + 5*l**4/6 + l**3/3 - 5*l. Determine w, given that c(w) = 0.
-1, -1/4, 0, 1
Let p(k) = -k**3 - k. Let c(h) = 10*h**3 - 10*h**2 - 8*h. Let y(q) = -q + 2. Let a be y(6). Let o(v) = a*p(v) + c(v). Factor o(n).
2*n*(n - 1)*(7*n + 2)
Let f be 0*(-2)/4*14/42. Let n be 4/(-2)*2/(-10). Factor -n*z + f + 2/5*z**2.
2*z*(z - 1)/5
Let w(f) = f. Let p(s) = s**3 - s**2 + 8*s + 1. Suppose d = -2 + 4. Let c(q) = d*p(q) - 18*w(q). Factor c(r).
2*(r - 1)**2*(r + 1)
Let v = 2 + -2. Let q be (-2 - (v + 0))*-1. Find r, given that -r + 4*r**q - r + 2 + r**3 + 7*r = 0.
-2, -1
Let d be -4*((-30)/(-8))/5. Let o be 2*(-1)/(2 + d). Factor -6*t**2 + 0 + 5*t**o + 1.
-(t - 1)*(t + 1)
Let j(k) be the second derivative of -k**5/5 + 4*k**4/9 - 2*k**3/9 - 11*k. Solve j(t) = 0 for t.
0, 1/3, 1
Let h(x) be the first derivative of -x**7/945 + x**6/540 + x**5/270 - x**4/108 + x**2 - 3. Let j(q) be the second derivative of h(q). Solve j(y) = 0 for y.
-1, 0, 1
Let g(d) be the first derivative of -2*d**5/5 + 3*d**4/4 + d**3/3 - 3*d**2/2 + d + 3. Factor g(f).
-(f - 1)**2*(f + 1)*(2*f - 1)
Let x(q) be the first derivative of -3 + 0*q**3 + 2/15*q**5 + 0*q**2 + 1/9*q**6 + 0*q**4 + 0*q. Factor x(s).
2*s**4*(s + 1)/3
Let i(s) be the third derivative of s**8/26880 + s**7/5040 + s**6/2880 + s**4/24 + 4*s**2. Let b(k) be the second derivative of i(k). Solve b(v) = 0.
-1, 0
Suppose n - 5*n + 8 = 0. What is f in 3*f**2 + 3*f**3 + 4*f**2 - 3*f - 3 - 4*f**n = 0?
-1, 1
Let s(u) = -u**3 + u - 1. Let l(a) = 6*a**3 - 6*a + 4. Let m(i) = -l(i) - 4*s(i). Factor m(b).
-2*b*(b - 1)*(b + 1)
Let 4*p**4 - 9*p**2 + p**2 - 26 + 30 = 0. What is p?
-1, 1
Let i = -59/7 + 323/35. Solve i - 14/5*v + 2*v**2 = 0.
2/5, 1
Determine t, given that -1/2*t + 1/4*t**4 - 3/4*t**2 + 0 + 0*t**3 = 0.
-1, 0, 2
Let i = -2 + 9. Let a = -8 + 8. Solve -4*h**2 - 4 + h**3 + i*h**2 + a*h**2 = 0.
-2, 1
Factor -3/4*q**3 + 0 - 3/4*q**4 + 9*q + 6*q**2.
-3*q*(q - 3)*(q + 2)**2/4
Let -2/23*c**3 + 0 - 2/23*c - 4/23*c**2 = 0. What is c?
-1, 0
What is m in 1/4 - 1/4*m**2 + 0*m = 0?
-1, 1
Suppose 32 = 10*r + 6*r. Factor -2/5 + 4/5*h - 2/5*h**r.
-2*(h - 1)**2/5
Let n(c) be the second derivative of -16/21*c**3 - 5/42*c**4 - 4/7*c**2 + 5/14*c**5 + 0 - 3*c. Find v, given that n(v) = 0.
-2/5, 1
Let i(c) be the second derivative of c**5/20 + 3*c**4/20 - 17*c**3/30 + 3*c**2/10 - 9*c. Factor i(v).
(v - 1)*(v + 3)*(5*v - 1)/5
Factor 1/5*i**2 - 2/5*i + 1/5.
(i - 1)**2/5
Let j(o) be the second derivative of 0*o**3 - 1/20*o**5 + 0*o**2 + 0 - 4*o + 1/60*o**6 + 1/24*o**4. Solve j(c) = 0 for c.
0, 1
Let i(w) be the second derivative of w**6/60 + w**5/40 - w**4/24 - w**3/12 + 4*w. Factor i(c).
c*(c - 1)*(c + 1)**2/2
Let p(g) = -3*g. Let a(v) = -v**2 + 4*v + 1. Let u(i) = -3*a(i) - 4*p(i). Find n such that u(n) = 0.
-1, 1
Suppose 0 = z + 5*p - 7, -2*z + 5*p - 1 = -0. Factor -2 - 3*o**4 + 4*o**2 + 2 + 5*o**z + 6*o.
-3*o*(o - 2)*(o + 1)**2
Let u(a) = 2*a**3 + 0*a**2 + a**2 - a**4 - 3*a**3. Let p(z) = -12*z**4 + 7*z**2. Let g(c) = -p(c) + 5*u(c). Factor g(o).
o**2*(o - 1)*(7*o + 2)
Let h(s) be the first derivative of -s**6/480 + s**5/60 - s**4/24 - 5*s**2/2 + 5. Let v(m) be the second derivative of h(m). Factor v(p).
-p*(p - 2)**2/4
Let y = -14 - -20. Let a(d) be the second derivative of 3*d + 0 - 1/15*d**4 + 1/75*d**y - 1/25*d**5 + 1/5*d**2 + 1/105*d**7 + 1/15*d**3. Factor a(j).
2*(j - 1)**2*(j + 1)**3/5
Let d(x) = -3*x**4 + x**3 + 7*x**2 - 5*x - 5. Let y(u) = -2*u**4 + u**3 + 4*u**2 - 3*u - 3. Let i(m) = -3*d(m) + 5*y(m). Factor i(n).
-n**2*(n - 1)**2
Suppose -2/9*c**4 + 0*c**2 + 0 + 0*c**3 + 0*c = 0. Calculate c.
0
Let v = -91 - -96. Let a(x) be the first derivative of -2/9*x**3 - 4 - 1/6*x**4 + 2/15*x**v + 1/3*x**2 + 0*x. Factor a(j).
2*j*(j - 1)**2*(j + 1)/3
Suppose 68*p**5 - 8 - 33*p**5 - 31*p**5 + 36*p - 24*p**4 + 56*p**3 - 64*p**2 = 0. What is p?
1, 2
Let i = 192 - 1529/8. Let x(p) be the first derivative of 2*p**3 - 2 + 3/4*p**2 - p + i*p**4. Factor x(a).
(a + 1)**2*(7*a - 2)/2
Let 10/9*j**3 + 14/9*j - 4/9 - 2/9*j**4 - 2*j**2 = 0. What is j?
1, 2
Let h(d) be the third derivative of -d**5/60 + d**4/12 - d**3/6 - 4*d**2. Factor h(w).
-(w - 1)**2
Suppose -5*c - 53 = 37. Let w be 6/(-24)*16/c. Let -w*i**2 + 0 + 4/9*i = 0. Calculate i.
0, 2
Let c(d) = 5*d**2 - d + 6. Let a(v) = -11*v**2 + 2*v - 13. Let y(z) = -6*a(z) - 13*c(z). Find n, given that y(n) = 0.
-1, 0
Let j(n) be the third derivative of n**10/75600 - n**8/10080 + n**5/10 + 4*n**2. Let l(b) be the third derivative of j(b). What is g in l(g) = 0?
-1, 0, 1
Let f(k) be the third derivative of -k**6/480 - k**5/120 - k**4/96 - 9*k**2. Find a, given that f(a) = 0.
-1, 0
Let k(u) be the second derivative of -u**5/40 + u**4/12 - u**3/12 - 8*u. Determine d, given that k(d) = 0.
0, 1
Suppose -6*u = -3*w - 2*u + 21, -5*w + 30 = -5*u. Factor 0 + 0*y + 1/6*y**4 + 1/6*y**2 - 1/3*y**w.
y**2*(y - 1)**2/6
Let y(f) be the first derivative of -1/420*f**7 + 0*f + f**3 + 1 + 0*f**4 + 0*f**2 + 1/60*f**5 + 0*f**6. Let b(i) be the third derivative of y(i). Factor b(t).
-2*t*(t - 1)*(t + 1)
Let l(c) = -4 - 2*c + 4 - 1 - 5. Let b be l(-4). Factor 4*j**3 - 2*j**2 - b*j**3 - 4*j**3.
-2*j**2*(j + 1)
Let h(m) be the first derivative of m**4/36 - m**3/9 + m**2/6 + 4*m + 4. Let y(k) be the first derivative of h(k). Factor y(r).
(r - 1)**2/3
Let m(n) = -n**4 - n**3 + n**2 - 1. Let s(l) = -27*l**4 + 58*l**3 - 43*l**2 + 10*l - 2. Let h(k) = 2*m(k) - s(k). Solve h(v) = 0.
0, 2/5, 1
Find a, given that -1/3*a**2 + 2/3*a - 1/3 = 0.
1
What is v in 8 + 4*v + 1/2*v**2 = 0?
-4
Let k(d) = 6*d**4 - 13*d**3 + 2*d**2 + 3*d. Let r(l) = l**4 + l**3 + l**2 - l. Let m(o) = -4*k(o) - 4*r(o). Factor m(q).
-4*q*(q - 1)**2*(7*q + 2)
Let f(l) be the third derivative of l**5/60 + l**4/3 - 3*l**3/2 + l**2 - 3. Let f(o) = 0. What is o?
-9, 1
Suppose 10 = -4*f + 34. Let v(a) be the third derivative of 0 + 0*a**4 - 1/420*a**f + 0*a + 1/1176*a**8 + 0*a**3 - 1/210*a**5 + 1/735*a**7 - a**2. Factor v(x).
2*x**2*(x - 1)*(x + 1)**2/7
Let r = 0 - -2. Let h be ((-27)/(-6) + -2)*r. Factor 1 - c**3 + 2 - 3 - 5*c**4 