second derivative of 1/15*d**5 - y*d - 1/45*d**6 + 0*d**3 + 0 - 1/18*d**4 + 0*d**2. Solve v(u) = 0.
0, 1
Let c = -327 - -330. Factor -2*v**c + 8/9 - 2/3*v**2 + 16/9*v.
-2*(v - 1)*(3*v + 2)**2/9
Let 8/3 + 6*v**3 - 22/3*v**2 - 32/3*v = 0. Calculate v.
-1, 2/9, 2
Let k(p) be the first derivative of -p**4/2 + 4*p**3/3 + p**2 - 4*p - 1. Factor k(d).
-2*(d - 2)*(d - 1)*(d + 1)
Let n(u) be the second derivative of u**6/285 - 3*u**5/190 + u**4/114 + u**3/19 - 2*u**2/19 + 23*u. Solve n(i) = 0 for i.
-1, 1, 2
Let t = -31 + 43. Let d be ((-6)/(-20))/(t/16). Factor 0 + d*p + 2/5*p**2.
2*p*(p + 1)/5
Let h(b) be the third derivative of -9*b**8/280 - 23*b**7/350 - 3*b**6/200 + b**5/50 - 23*b**2. Determine t so that h(t) = 0.
-1, -1/2, 0, 2/9
Let y(x) be the first derivative of -x**6/15 + 6*x**5/25 - 3*x**4/10 + 2*x**3/15 - 5. Suppose y(g) = 0. What is g?
0, 1
Let h(q) be the first derivative of q**5/20 + q**4/8 - q**3/4 - q**2/2 + q - 21. Factor h(l).
(l - 1)**2*(l + 2)**2/4
Let k(t) be the first derivative of -t**4/6 + 4*t**3/9 + t**2/12 - t/3 + 3. Factor k(m).
-(m - 2)*(2*m - 1)*(2*m + 1)/6
Let r be (3 - 2)*(3 + -2). Let w(z) = -z**2 + z. Let h(i) = 6*i**2 - 6*i. Let t(l) = r*h(l) + 3*w(l). Solve t(o) = 0 for o.
0, 1
Let v(y) be the third derivative of -y**8/90720 + y**7/22680 + y**5/10 + 2*y**2. Let z(o) be the third derivative of v(o). Factor z(f).
-2*f*(f - 1)/9
Factor -2/9*x**2 + 2/3 + 4/9*x.
-2*(x - 3)*(x + 1)/9
Let q(t) = 14*t**4 + 8*t**3 + 20*t**2 - 8*t. Let h(n) = 5*n**4 + 3*n**3 + 7*n**2 - 3*n. Let m(c) = -17*h(c) + 6*q(c). Suppose m(p) = 0. Calculate p.
-3, -1, 0, 1
Suppose s - 5*w = -23, s + 5*w - 8 = 19. Factor 1 + 1/4*u**s + u.
(u + 2)**2/4
Let z(i) be the first derivative of -2*i**6/9 + 8*i**5/15 - i**4/3 + 8. Factor z(k).
-4*k**3*(k - 1)**2/3
Let i(r) be the first derivative of 1/10*r**2 - 1/20*r**4 + 1/15*r**3 - 8 - 1/25*r**5 + 0*r. Solve i(t) = 0.
-1, 0, 1
Let s be (-7 - -13 - 0) + -4 + 0. Factor -8*j**s - 7*j**3 - 9/2*j - 3*j**4 - 1 - 1/2*j**5.
-(j + 1)**4*(j + 2)/2
Suppose 5/7*r**3 + 1/7*r**4 + 2/7 + 9/7*r**2 + r = 0. Calculate r.
-2, -1
Let p(t) be the second derivative of 0 + 1/30*t**6 + 10/3*t**3 + 3/2*t**4 + 4*t**2 - t + 7/20*t**5. Factor p(a).
(a + 1)*(a + 2)**3
Suppose -2*m - m = -21. Let w = m + -6. Factor 2 + w + 4*p**2 + 2*p - 2*p**3 - 7.
-2*(p - 2)*(p - 1)*(p + 1)
Let v be (-7)/14*(-1)/(-2)*-2. Factor 0*f**2 - v*f**5 + 0*f**3 + 0*f + 0 + 0*f**4.
-f**5/2
Let t(j) be the third derivative of 0*j**4 - j**2 + 1/60*j**6 + 0*j**3 + 1/60*j**5 + 1/210*j**7 + 0 + 0*j. What is g in t(g) = 0?
-1, 0
Let b(j) be the first derivative of -j**7/14 + 3*j**5/20 - 3*j + 3. Let r(p) be the first derivative of b(p). Factor r(f).
-3*f**3*(f - 1)*(f + 1)
Let c(n) = n**2 + 5*n - 8. Let x(d) = 17 + 0*d**2 - 2*d**2 - 8*d - 5*d + 2*d. Let m(l) = -13*c(l) - 6*x(l). Factor m(j).
-(j - 2)*(j + 1)
Let w(a) = -7*a**2 - 8*a + 5. Let u(q) = -10*q**2 - 12*q + 8. Let b(v) = -5*u(v) + 8*w(v). Let k(p) = p**2 + p. Let c(n) = -3*b(n) - 15*k(n). Factor c(r).
3*r*(r - 1)
Let z(y) = -y**2 - y - 1. Let r = -9 + 10. Let p(b) = -5*b**2 + 7*b + 4. Let m(h) = r*p(h) + 2*z(h). Factor m(w).
-(w - 1)*(7*w + 2)
Suppose m = 2*m. Let l(p) be the third derivative of m*p + 0 + 0*p**3 + 1/210*p**5 + 1/42*p**4 - 2*p**2. Factor l(v).
2*v*(v + 2)/7
Let s(b) = -b**5 - b**3 - b + 1. Let i(o) = 6*o**5 - 3*o**4 + 30*o**3 + 39*o**2 + 27*o - 9. Let n(g) = -i(g) - 9*s(g). What is c in n(c) = 0?
-2, -1, 0, 3
Let l = 184 - 182. Factor 7/3*d**3 + 2/3 + d - 4*d**l.
(d - 1)**2*(7*d + 2)/3
Let a(m) = 2*m**2 - 2*m. Let d be a(1). Let t(f) be the second derivative of -1/54*f**4 + 0 + 2/27*f**3 + 2*f - 1/90*f**5 + d*f**2. Factor t(l).
-2*l*(l - 1)*(l + 2)/9
Let p(t) = -19*t**2 - 80*t - 56. Let q(b) = -13*b**2 - 53*b - 37. Let x(z) = -5*p(z) + 8*q(z). Suppose x(g) = 0. What is g?
-4/3
Let o(i) be the first derivative of 3/2*i**2 + 5 - 3*i**3 + 0*i. Factor o(m).
-3*m*(3*m - 1)
Let n = -770 - -770. Factor -1/4*v**2 + 1/4*v + n.
-v*(v - 1)/4
Let a(t) = t + 7. Let z be a(-9). Let h = 4 + z. Factor b**h + 3*b**3 + 0*b**3 - 2*b**3.
b**2*(b + 1)
Let f(j) = -3*j**5 - j**4 + j**3 + j**2 - 2. Let k(r) = 7*r**5 + 3*r**4 - 2*r**3 - 3*r**2 + 5. Let l(x) = -5*f(x) - 2*k(x). Let l(w) = 0. What is w?
-1, 0, 1
Let m = 6/55 - -68/385. Determine t, given that 0*t**4 - m*t**5 - 2/7*t + 0 + 0*t**2 + 4/7*t**3 = 0.
-1, 0, 1
Determine t so that -3*t**2 - 25*t**4 - 12*t**3 + 12*t**2 + 54*t + 22*t**4 = 0.
-3, 0, 2
Let g(k) = -5*k**2 + 5*k + 4. Let r(o) = -o**2 - 3*o + 1. Let a(f) = 2*f**2 + 7*f - 2. Let p(j) = -4*a(j) - 9*r(j). Let n(z) = -g(z) - 6*p(z). Solve n(q) = 0.
-1, 2
Let f = 8 + -5. Suppose a = -a + 5*r - 11, r = 3*a - f. Let v**2 + a*v**3 + 2*v - 3*v - v**3 - 1 = 0. What is v?
-1, 1
Solve -1 - 2*r**4 + 0 + 2*r**2 + 2*r**3 - 2*r + 1 = 0 for r.
-1, 0, 1
Let c(f) be the third derivative of f**8/60480 + f**7/7560 + f**6/2160 + f**5/20 - 5*f**2. Let o(q) be the third derivative of c(q). Let o(j) = 0. What is j?
-1
Let i(t) = 8*t**5 + 6*t**4 - 10*t**3 + 2*t - 6. Let u = -12 - -18. Let p(d) = -7*d**5 - 5*d**4 + 9*d**3 - 2*d + 5. Let q(c) = u*p(c) + 5*i(c). Factor q(h).
-2*h*(h - 1)**2*(h + 1)**2
Let y(j) be the first derivative of -j**4/12 + 4*j**3/9 - 5*j**2/6 + 2*j/3 + 11. Factor y(o).
-(o - 2)*(o - 1)**2/3
Find g, given that 0*g + 0*g**2 + 0 + 0*g**4 - 2/9*g**3 + 2/9*g**5 = 0.
-1, 0, 1
Let c(n) be the first derivative of 0*n**2 - 2*n**6 - n**3 - 9/2*n**4 + 0*n - 27/5*n**5 - 2. Suppose c(i) = 0. What is i?
-1, -1/4, 0
Let h(n) be the first derivative of -n**6/6 + n**4/2 - n**2/2 - 7. Find u such that h(u) = 0.
-1, 0, 1
Factor 10/9*x + 2/3*x**2 - 2/9*x**4 + 4/9 - 2/9*x**3.
-2*(x - 2)*(x + 1)**3/9
Suppose 0 = 5*p - 5, -6*p = -x - 2*p - 1. Suppose y = g + 4, -3*y - 2*g = 5 + x. Find s such that -2/3*s + y + 2/3*s**2 = 0.
0, 1
Let n(t) = 117*t + 471. Let k be n(-4). Factor -1/2*z**4 + 0 + 0*z - 1/2*z**2 - z**k.
-z**2*(z + 1)**2/2
Let f(p) be the second derivative of 0 - 4*p + 2/25*p**5 + 1/5*p**4 + 1/5*p**2 + 1/75*p**6 + 4/15*p**3. Factor f(k).
2*(k + 1)**4/5
Factor 0*l + 0 + 2/5*l**3 + 2/5*l**2 - 2/5*l**4 - 2/5*l**5.
-2*l**2*(l - 1)*(l + 1)**2/5
Let x(p) be the first derivative of 2 - 1/4*p**2 + 1/5*p**5 + 0*p**4 + 0*p + 1/12*p**6 - 1/3*p**3. Factor x(v).
v*(v - 1)*(v + 1)**3/2
Let o be (-5)/25*5*-4. Suppose -2*c**2 + 14/3*c + o = 0. What is c?
-2/3, 3
Let r(m) = 6*m**2 - 4*m - 2. Let z(o) = 2*o**2 - o - 1. Let j = 7 - 10. Let c be (-7)/2 - j/6. Let v(w) = c*r(w) + 8*z(w). Factor v(p).
-2*(p - 1)**2
Let w(m) = 28*m**2 + 73*m + 7. Let q(d) = -2*d**3 - d**2 - d. Let n be q(-1). Let a(c) = -1 + 22*c - 4*c + 7*c**n + 3. Let o(s) = -9*a(s) + 2*w(s). Factor o(p).
-(p + 2)*(7*p + 2)
Let o be 4*54/48*4/15. Factor 2/5 - o*m + 6/5*m**2 - 2/5*m**3.
-2*(m - 1)**3/5
Suppose 3*c + 2*d + 2 = c, -2*c + d + 13 = 0. Factor 3*x**5 - x + 14*x**3 - 3*x**3 - x + 13*x**c + x**2 - 2*x**4.
x*(x + 1)**2*(x + 2)*(3*x - 1)
Let c(g) be the first derivative of g**5/30 + g**4/6 + 2*g**2 + 4. Let y(q) be the second derivative of c(q). What is a in y(a) = 0?
-2, 0
Let a = -56879/1218 - -13/406. Let l = a + 47. Factor 2/3*c**2 - 1/3*c + l*c**5 + 0 + 0*c**3 - 2/3*c**4.
c*(c - 1)**3*(c + 1)/3
Find s such that -6*s + 3/4*s**2 + 12 = 0.
4
Let m(b) be the first derivative of 5*b**7/42 + 4*b**6/15 + b**5/20 - b**4/6 + 6*b + 1. Let s(o) be the first derivative of m(o). Let s(l) = 0. Calculate l.
-1, 0, 2/5
Let g(w) be the second derivative of w**4/8 + w**3/2 + 3*w**2/4 + 21*w. Suppose g(s) = 0. Calculate s.
-1
Suppose 39/7*q**3 - 57/7*q**2 + 33/7*q - 9/7*q**4 - 6/7 = 0. Calculate q.
1/3, 1, 2
What is x in 10 + 3*x**2 - 13 - 2*x + 5*x - 3*x**3 = 0?
-1, 1
Let j be 7/(-20) - (-6 - (-42)/8). Factor 4/5 - j*z - 6/5*z**2 + 2/5*z**3 + 2/5*z**4.
2*(z - 1)**2*(z + 1)*(z + 2)/5
Factor 1/4*z**4 - 3/4*z**2 + 1 + 1/2*z**3 - z.
(z - 1)**2*(z + 2)**2/4
Suppose -5*j**5 - 29*j**3 + 5 + 19*j**3 + 3*j**4 + 6*j - 18*j**4 + 10*j**2 + 9*j = 0. Calculate j.
-1, 1
Let v(o) be the third derivative of -1/300*o**5 + 0*o**3 + 3*o**2 + 0 + 0*o**4 + 1/600*o**6 + 0*o. Factor v(f).
f**2*(f - 1)/5
Let n(a) be the second derivative of -10/39*a**4 - 7/195*a**6 - 8/39*a**3 + 0 - 9/65*a**5 + 0*a**2 - 1/273*a**7 + 3*a. Factor n(s).
-2*s*(s + 1)*(s + 2)**3/13
Suppose 3*x - 1 = -x - z, 2*z = 5*x - 11.