x(k) = 0.
0
Let r = 2/95 - -91/190. Let t(s) be the second derivative of -1/6*s**3 - r*s**2 + 1/20*s**5 - s + 0 + 1/12*s**4. Factor t(i).
(i - 1)*(i + 1)**2
Let i be (10/(-4))/(-2*2/8). Factor -v**4 - v**2 + 3/2*v**3 + 1/4*v + 1/4*v**i + 0.
v*(v - 1)**4/4
Let w(p) = 2*p**2 + 3*p - 5. Suppose 0*z = 2*m - 4*z - 4, 0 = -3*m - 4*z + 46. Let l(h) = 14 - 6*h**2 - 4 - m*h + 6. Let b(y) = -3*l(y) - 10*w(y). Factor b(s).
-2*(s - 1)*(s + 1)
Let p(r) be the third derivative of -r**6/20 - r**5/30 + r**4/6 - 20*r**2. Factor p(j).
-2*j*(j + 1)*(3*j - 2)
Factor 0 + 0*h + 6/11*h**3 - 10/11*h**4 + 4/11*h**2.
-2*h**2*(h - 1)*(5*h + 2)/11
Let t(c) = 2*c - 3. Let b be t(3). Suppose 0 = -4*w + 9 + b. Factor 1/5*o**4 + 3/5*o**2 - 3/5*o**w - 1/5*o + 0.
o*(o - 1)**3/5
Let q(p) be the first derivative of -p**4 + 6*p**2 + 8*p + 9. Let q(l) = 0. Calculate l.
-1, 2
Let y(b) = -b**3 - 4*b**2 + b + 2. Let c(p) = -6*p**3 - 21*p**2 + 5*p + 11. Suppose 4*i = -11 - 13. Let g(a) = i*c(a) + 33*y(a). Suppose g(x) = 0. Calculate x.
0, 1
Let z(x) be the second derivative of 0*x**2 + 0 + 0*x**3 + 0*x**4 - 3*x + 0*x**6 - 1/20*x**5 + 1/42*x**7. Factor z(v).
v**3*(v - 1)*(v + 1)
Let 1/2*k**2 + 0*k + 0 = 0. What is k?
0
Let r(s) = 3*s**4 + 5*s**3 + 3*s**2 - s. Let k(w) = w**4 + w**3 + w**2 - w. Let b(m) = -k(m) + r(m). Factor b(h).
2*h**2*(h + 1)**2
Let x(s) be the third derivative of -s**5/180 + s**4/36 - s**3/18 + 9*s**2. Factor x(b).
-(b - 1)**2/3
Let g be (-4)/(33 - 1)*(-1 - 1). Factor 3/4*v**4 + g*v**5 - 3/4*v + 1/2*v**3 - 1/2*v**2 - 1/4.
(v - 1)*(v + 1)**4/4
Let b = -21/2 - -43/4. Solve b*s**3 + 0*s + 0 + 1/2*s**2 = 0.
-2, 0
Let z = 85 + -83. Let f(u) be the third derivative of 0*u**4 + 1/90*u**5 + 1/126*u**7 + 0 + 0*u + 7/360*u**6 + 0*u**3 - 2*u**z. Find x such that f(x) = 0.
-1, -2/5, 0
Suppose 1/6*a**3 + 0 - 1/6*a**5 + 0*a + 1/3*a**2 - 1/3*a**4 = 0. What is a?
-2, -1, 0, 1
Let r(d) be the first derivative of -d**4/18 - 10*d**3/27 - 7*d**2/9 - 2*d/3 + 34. Factor r(a).
-2*(a + 1)**2*(a + 3)/9
Let v(f) = f**2 + f. Let j(d) = 8*d**2 + 5*d - 9. Let z(n) = j(n) - 5*v(n). Let i(w) = 3*w**2 - 8. Let u(m) = 6*i(m) - 5*z(m). Find p, given that u(p) = 0.
-1, 1
Let q(r) be the first derivative of 1/48*r**4 - 1/120*r**6 + 1/12*r**3 - 3 - 2*r - 1/40*r**5 + 0*r**2. Let o(z) be the first derivative of q(z). Factor o(k).
-k*(k - 1)*(k + 1)*(k + 2)/4
Let b(y) be the first derivative of -y**3/3 + y + 9. Find l, given that b(l) = 0.
-1, 1
Let q = 294/869 + 2/79. Let p be 4/18 + (-20)/495. Determine h, given that 0*h**2 + 0 + 2/11*h**5 + 0*h + p*h**3 - q*h**4 = 0.
0, 1
Suppose -x = -x + 2*x. Let d be -1*(-2 + 0/(-1)). Let 0 + x*m + 0*m**d - 1/2*m**3 = 0. Calculate m.
0
Let i = -22 - -26. Let o(j) = -4*j. Let l be o(-1). Determine b so that l*b + 3*b**3 + b - i*b**2 - b**4 + b**2 - 4*b = 0.
0, 1
Let n be (15 + -6)/(28/31). Let i = -13/28 + n. Factor -2 + 1/2*a**5 - 7/2*a**4 + 8*a + i*a**3 - 25/2*a**2.
(a - 2)**2*(a - 1)**3/2
Let j(k) = k**3. Let f(s) = -9*s**4 - 23*s**3 - 15*s**2 - 3*s. Let r(u) = f(u) + 2*j(u). Suppose r(o) = 0. What is o?
-1, -1/3, 0
Let c = -1/8 - -13/8. Let a(u) be the first derivative of -c*u**4 + 2 - 3*u + 3/5*u**5 + 0*u**3 + 3*u**2. Factor a(v).
3*(v - 1)**3*(v + 1)
Let -o + 2*o - 3*o**3 - 3*o**2 + 2*o + 3 = 0. Calculate o.
-1, 1
Suppose 3 = -c + 7. Let 3*n**c - 43*n**2 + 46*n**2 - 4*n**4 - 2*n = 0. What is n?
-2, 0, 1
Suppose 7 = 5*l - 18. Factor -19 + l + 8 + 8 - 2*f**2.
-2*(f - 1)*(f + 1)
Let i(y) be the first derivative of -2*y - 1/105*y**6 - 2 + 0*y**3 + 0*y**4 + 0*y**2 - 1/70*y**5. Let f(o) be the first derivative of i(o). Factor f(k).
-2*k**3*(k + 1)/7
Let j(f) = -9*f**2 + 8*f + 17. Let d(h) = -14*h**2 + 12*h + 26. Let c(z) = 5*d(z) - 8*j(z). Factor c(l).
2*(l - 3)*(l + 1)
Let u(c) be the first derivative of -c**4/4 - 5*c**3/12 - c**2/8 + 9. Factor u(h).
-h*(h + 1)*(4*h + 1)/4
Let q be (-1)/(1*1/(-2)) + -2. Factor -8/3 + 2*m**2 + q*m + 2/3*m**3.
2*(m - 1)*(m + 2)**2/3
Let a(g) = -g**2 - g + 30. Let u be a(5). Let v(k) be the third derivative of -4*k**2 + 0*k**3 + 1/12*k**4 + 1/15*k**5 + 1/60*k**6 + u*k + 0. Factor v(b).
2*b*(b + 1)**2
Let x(r) be the second derivative of -r**4/4 + r**3 + 9*r**2/2 + 16*r. Find n such that x(n) = 0.
-1, 3
Let s(r) be the second derivative of r**5/140 + r**4/14 + 3*r**3/14 + 6*r. Factor s(w).
w*(w + 3)**2/7
Let w(q) be the third derivative of q**7/8820 - q**5/420 - q**4/8 + q**2. Let k(o) be the second derivative of w(o). Find y, given that k(y) = 0.
-1, 1
Suppose -3*t + 0*t + 40 = -4*j, 0 = 5*j + t + 31. Let v(u) = u**3 + 6*u**2 - 8*u - 5. Let p be v(j). Determine a, given that -3*a - 2*a**p - a - a**3 + 3*a = 0.
-1, 0
Let z(w) = 159*w**2 + 81*w - 33. Let i(m) = 10*m**2 + 5*m - 2. Let p(a) = 33*i(a) - 2*z(a). Factor p(u).
3*u*(4*u + 1)
Let j = 1 - -2. Solve 3*k**4 - 3*k - 9*k**2 - 2*k**3 + 8*k**3 - 3*k**j + 6 = 0.
-2, -1, 1
Suppose 0 = -s - 8 + 9. Let k be (0/(-1))/(-2 + s). Factor -2/11*v - 2/11*v**2 + k.
-2*v*(v + 1)/11
Let q = 79 + -77. Solve -9/4*h**q + 3*h - 1 = 0 for h.
2/3
Let z be 8/(-20) + (-48)/(-20). Factor 3*u**2 + 9*u**2 - 5*u**2 - 6*u**z + u**3 - u - u**4.
-u*(u - 1)**2*(u + 1)
Suppose 4*h + 3*d = -3, h - 3*d - d = -15. Let p = h - -6. Factor -16*t**4 - 4 + 24*t**p + 3 - 2*t - t**2 - 4*t.
-(t - 1)**2*(4*t + 1)**2
Let o(a) = 3*a - 3. Let v be o(1). Find z, given that 1/2*z - 1/2*z**2 + v = 0.
0, 1
Let r = -124 - -124. Let r*x - 2/3*x**4 + 2/3*x**2 + 8/3*x**3 + 0 - 8/3*x**5 = 0. What is x?
-1, -1/4, 0, 1
Suppose -3*k = k - k. Let h(a) be the first derivative of k*a**3 - a**4 + 1/3*a**6 + 0*a**2 + 0*a + 2 + 2/5*a**5. What is w in h(w) = 0?
-2, 0, 1
Let i(v) be the second derivative of v**5/180 - v**4/36 + v**3/18 + 3*v**2/2 + 3*v. Let a(q) be the first derivative of i(q). Factor a(f).
(f - 1)**2/3
Let u = 157 - 157. What is r in 0*r**4 + 2/3*r**3 + u - 1/3*r + 0*r**2 - 1/3*r**5 = 0?
-1, 0, 1
Let k(d) be the second derivative of -d**7/126 + d**5/15 - 21*d. Suppose k(g) = 0. Calculate g.
-2, 0, 2
Let u(g) = 5*g**2 - 4*g. Let z be u(4). Determine t so that 98*t**4 + 9*t + 43*t**3 + z*t**2 - t + 99*t**3 + 12*t**3 = 0.
-1, -2/7, 0
Let g(y) be the third derivative of 0*y**4 + 0*y**3 + 0 - y**2 + 1/150*y**5 - 1/525*y**7 + 1/840*y**8 + 0*y - 1/300*y**6. Suppose g(q) = 0. What is q?
-1, 0, 1
Suppose -2*m - 50 = -5*y, 3*y - 57 + 0 = 3*m. Let p = 15 + m. Let p*r + 2/3*r**4 + 0 + 2/3*r**3 + 0*r**2 = 0. Calculate r.
-1, 0
Let u be (-49)/(-147) - (-16)/6. Solve -1/2*v**u + 1/2*v**2 + 0*v + 0 = 0.
0, 1
Suppose -4/11*w - 2/11*w**2 + 2/11*w**4 + 0 + 4/11*w**3 = 0. Calculate w.
-2, -1, 0, 1
Factor j - 3*j**2 + 3*j**4 + 0*j**3 + 3*j**5 + 0*j**3 + j**5 - 5*j**3.
j*(j - 1)*(j + 1)**2*(4*j - 1)
Let v = -255 - -1276/5. Determine u so that 0*u + 0 + v*u**2 = 0.
0
Let k be (6/(-5))/(1/5). Let y be ((-24)/(-9))/((-2)/k). Let -y*h**5 + 3*h**2 + 5*h**3 + h + h**4 + h**3 - 5*h**4 + 2*h**2 = 0. What is h?
-1/2, 0, 1
Let f(r) = -r - 1. Let u be f(-4). Suppose 5 = -2*l + 4*l + 3*h, 6 = u*l + 3*h. Let o**2 - 4*o + 5*o + o**3 - 2*o - l = 0. What is o?
-1, 1
Let f(p) = -8*p**4 + 44*p**3 - 43*p**2 - 41*p. Let l(w) = -40*w**4 + 220*w**3 - 216*w**2 - 204*w. Let i(c) = 24*f(c) - 5*l(c). Let i(q) = 0. What is q?
-1/2, 0, 3
Let l(r) be the third derivative of r**6/60 + r**5/30 - 5*r**3/6 - 6*r**2. Let u(s) be the first derivative of l(s). Factor u(z).
2*z*(3*z + 2)
Let -125/4 - 45/2*x**2 - 1/4*x**4 - 50*x - 4*x**3 = 0. What is x?
-5, -1
Let o(s) = 5*s**2 - 2*s - 3. Let n be o(-1). Let r(u) be the second derivative of 2/21*u**n + 0 + 0*u**2 + 4*u + 1/21*u**3. Solve r(j) = 0 for j.
-1/4, 0
Let o(v) = -v**3 - 3*v**2 + v + 8. Let q be o(-2). Let -1/6*g**3 + 1/3 - 5/6*g + 2/3*g**q = 0. Calculate g.
1, 2
Let c = -2 + 5. Factor 9*h**c - 2 + 4*h + 2*h**2 - 11*h**3 + 2.
-2*h*(h - 2)*(h + 1)
Let x(a) = -12*a**2 - 96*a - 201. Let o(r) = 3*r**2 + 24*r + 50. Let q(s) = -9*o(s) - 2*x(s). Factor q(k).
-3*(k + 4)**2
Let c(t) be the second derivative of -1/48*t**4 - 1/80*t**5 + 0 + 0*t**2 + 0*t**3 + 1/168*t**7 + 5*t + 1/120*t**6. Factor c(r).
r**2*(r - 1)*(r + 1)**2/4
Let d(z) be the first derivative of -z**7/105 + z**6/20 - z**5/10 + z**4/12 + 2*z**3/3 - 5. Let m(a) be the third derivative of d(a). Factor m(n).
-2*(n - 1)**2*(4*n - 1)
Factor 8/19*t**5 - 18/19*t**4 + 10/19*t**2 