ermine h so that y(h) = 0.
-1/2, 0, 2/5, 1
Let u(m) be the second derivative of -1/12*m**3 - 1/12*m**4 - 3*m + 0 + 0*m**2 - 1/40*m**5. What is d in u(d) = 0?
-1, 0
Find k such that 4/5*k**3 - 2/5*k**4 + 4/5*k**2 - 2/5 - 2/5*k - 2/5*k**5 = 0.
-1, 1
Factor -1/2*u**4 - u + 0 + 5/2*u**2 - 3/2*u**3 + 1/2*u**5.
u*(u - 1)**3*(u + 2)/2
Suppose -1 = y - 5. Let i(d) be the third derivative of -1/672*d**8 + 1/60*d**5 + 0*d**3 - 1/210*d**7 + 1/48*d**y + 0*d - d**2 + 0 + 0*d**6. Solve i(c) = 0.
-1, 0, 1
Let j = 14 - 8. Factor -17*k**5 + 15*k**5 + 2*k**2 + 2*k**2 + j*k**3.
-2*k**2*(k - 2)*(k + 1)**2
Let k = -7 + 13. Let v be 8/k*6/4. Determine m so that 2*m**3 + m**3 + 6*m - m**3 + 0*m**3 + 6*m**v + 2 = 0.
-1
Determine q so that -8*q**2 + q**2 + 11*q**2 - 3 - 33 + 32*q = 0.
-9, 1
Let n be 5 + ((-264)/56 - 4/14). Factor -4/5*k**2 + n + 4/5*k.
-4*k*(k - 1)/5
Let s(v) be the third derivative of -v**7/105 + v**6/60 + v**5/30 - v**4/12 - 10*v**2. Factor s(j).
-2*j*(j - 1)**2*(j + 1)
Factor -4*i**2 - 2*i**2 + 3*i**5 - 2*i + 6*i**4 + 0*i - i.
3*i*(i - 1)*(i + 1)**3
Let x = -7 - -11. Suppose 0 = -x*p + 16 - 4. Determine g so that -2*g**4 - 6/11*g**5 - 28/11*g**p + 2/11*g - 12/11*g**2 + 2/11 = 0.
-1, 1/3
Suppose -13/6*u**2 + 1/3*u**3 + 0 + u = 0. Calculate u.
0, 1/2, 6
Let c = 4 + -2. Factor -3*a - c*a**3 - 1 - 2*a - 7*a**2 - a**3.
-(a + 1)**2*(3*a + 1)
Let w(g) be the third derivative of 0 - 8*g**2 + 0*g + 16/3*g**3 + 6*g**4 + 6/35*g**7 + 13/10*g**6 + 58/15*g**5. Suppose w(v) = 0. Calculate v.
-2, -1, -2/3
Find k such that -5/4*k**2 - 15/2 + 25/4*k = 0.
2, 3
Let u = -66 - -44. Let x(z) = 15*z**3 + z**2 + 23*z - 7. Let l(v) = 4*v**3 + 6*v - 2. Let j(g) = u*l(g) + 6*x(g). Solve j(r) = 0.
-1
Factor 2/21 + 0*b - 2/21*b**2.
-2*(b - 1)*(b + 1)/21
Let v be (-3)/(-36)*-1*-4. Let i(a) be the second derivative of -3*a + a**3 - 1/21*a**7 + 1/5*a**6 + 0 - 1/5*a**5 - a**2 - v*a**4. Determine x so that i(x) = 0.
-1, 1
Let j be 6/(-256)*4/(-9). Let p(k) be the third derivative of 0*k - 1/48*k**5 - j*k**4 + 0*k**3 - 1/120*k**6 + 2*k**2 + 0. Suppose p(d) = 0. Calculate d.
-1, -1/4, 0
Let i(a) = 3*a**2 - 1. Let r be i(-1). Let y(z) be the second derivative of 1/18*z**4 + 0*z**2 + 0 - 1/9*z**3 + r*z. What is v in y(v) = 0?
0, 1
Suppose 9 = -4*h + 29. Let a(f) = 2*f - 6. Let y be a(h). Factor y*r - 5*r**2 + 6 + r**2 - 7.
-(2*r - 1)**2
Let j(d) be the third derivative of -d**6/180 - d**5/84 + d**4/42 - d**3/2 + d**2. Let f(x) be the first derivative of j(x). Suppose f(n) = 0. What is n?
-1, 2/7
Let g be 0 - (-8)/((-40)/591). Let m = 119 + g. Factor -2/5*x**2 - 2/5 - m*x.
-2*(x + 1)**2/5
Let m(s) be the second derivative of 1/48*s**4 + 3*s + 0*s**2 + 0 + 0*s**3 + 1/120*s**6 + 1/40*s**5. Factor m(d).
d**2*(d + 1)**2/4
Let n(d) be the second derivative of d**4/12 - 4*d**3/3 + 7*d**2 + 5*d. Let s be n(6). Factor s*y - 2*y**2 + 0 + 1/2*y**3.
y*(y - 2)**2/2
Let r(v) = -13*v**3 + 7*v**2 + 6*v - 9. Let t(i) = 3*i**3 - 2*i**2 - i + 2. Let d(w) = -2*r(w) - 9*t(w). Factor d(n).
-n*(n - 3)*(n - 1)
Let w(l) = 2*l**2 + 22*l + 10. Let k be w(-12). Let j = -32 + k. Factor -1/6*f - 1/3 + 1/6*f**j.
(f - 2)*(f + 1)/6
Let x(s) = 5*s**4 - 4*s**2 - 4*s. Let j(w) = -9*w**4 + 7*w**2 + 7*w. Let p(v) = 4*j(v) + 7*x(v). Suppose p(l) = 0. Calculate l.
0
Suppose 0 = -2*m + 3 + 3. Let k(h) be the second derivative of 1/6*h**4 + 0 - h + 2*h**2 - h**m. Factor k(w).
2*(w - 2)*(w - 1)
Let q(u) be the second derivative of -2*u**6/15 + 6*u**5/5 - 13*u**4/3 + 8*u**3 - 8*u**2 + 2*u. Suppose q(r) = 0. What is r?
1, 2
Let 20/7*w**2 + 16/7 - 4/7*w**3 - 32/7*w = 0. Calculate w.
1, 2
Let r be (-70)/(-4)*(-18)/(-15). Suppose -3*d = -5*s - r, 0 = s + 4 - 1. Factor 2/5*v**4 + 8/5*v + 8/5*v**3 + 2/5 + 12/5*v**d.
2*(v + 1)**4/5
Let m(i) be the first derivative of 3*i**5/5 + i**4/3 + 5*i**2 + 6. Let f(q) be the second derivative of m(q). Factor f(w).
4*w*(9*w + 2)
Factor 2/9*l**3 + 10/9*l - 4/9 - 8/9*l**2.
2*(l - 2)*(l - 1)**2/9
Let i = 11 + -3. Factor -7*n**4 - 4 + i*n**2 - n**4 + 4*n**4.
-4*(n - 1)**2*(n + 1)**2
Let j(z) be the third derivative of 0*z**3 + 1/10*z**5 + 0*z - 1/40*z**6 - 2*z**2 + 0 - 1/8*z**4. Factor j(v).
-3*v*(v - 1)**2
Let i = 8/35 - -6/35. Let j = -1 - -3. Factor -i*p**j - 2/5 + 4/5*p.
-2*(p - 1)**2/5
Suppose 3*u + 0*u = 0. Let g(t) = -t + 2. Let j be g(u). Let 3*d + 2*d**2 + 0*d - d**2 - 2*d**j - 2 = 0. What is d?
1, 2
Let s be 12/(-32)*2*-4. Suppose 0 + 0*g**2 - 1/2*g**s + 0*g = 0. Calculate g.
0
Let f(x) be the third derivative of -x**9/22680 + x**8/5040 - x**7/3780 - x**4/8 + x**2. Let a(u) be the second derivative of f(u). What is d in a(d) = 0?
0, 1
Let d = 13 - 11. Let r(j) = j**5 + j**4 - j**2 - 1. Let o(t) = 6*t**5 - 12*t**4 + 16*t**3 - 6*t**2 - 4*t. Let s(i) = d*r(i) - o(i). Solve s(l) = 0.
-1/2, 1
Let s(f) be the second derivative of -f**6/10 - 13*f**5/50 + 7*f**4/20 + 2*f**3/3 - 6*f**2/5 + 13*f - 2. What is c in s(c) = 0?
-2, -1, 3/5, 2/3
Suppose l - 16 = -0*l. Suppose 0 = -4*m + 4*p + l, -m + 4*p + 2 = 1. Factor 2*s**m - 2*s**3 - 4*s**4 - 4*s**5 + 0*s**3.
-2*s**3*(s + 1)**2
Suppose -4*l + 2*b + 11 = b, -4*l + 23 = -5*b. Let k(c) be the first derivative of -l + 2/15*c**3 + 0*c**2 - 2/5*c. Factor k(i).
2*(i - 1)*(i + 1)/5
Let t(l) be the third derivative of -2*l**7/105 - l**6/15 - l**5/15 - l**2. Factor t(b).
-4*b**2*(b + 1)**2
Let d be 3/(-27) - (-17)/72. Let u(r) be the second derivative of d*r**2 + 1/48*r**4 + 3*r - 1/12*r**3 + 0. Factor u(w).
(w - 1)**2/4
Factor -3*y - 3 + 9/4*y**2 - 3/4*y**4 + 3/2*y**3.
-3*(y - 2)**2*(y + 1)**2/4
Let r = 15 + -12. Factor -3*c**4 - c**5 - c**4 - c**2 - 2*c + 5*c**4 + r*c**3.
-c*(c - 2)*(c - 1)*(c + 1)**2
Let 3/2*h**2 + 1/8*h**4 + 3/8 + 5/4*h + 3/4*h**3 = 0. What is h?
-3, -1
Let h = -14 - -15. Let b(i) be the first derivative of h - 4/7*i**2 - 8/7*i - 2/21*i**3. Solve b(w) = 0.
-2
Let c(i) be the second derivative of 0 - 3*i + 0*i**2 + 1/24*i**3 + 1/16*i**4 - 1/40*i**6 - 1/80*i**5. Factor c(h).
-h*(h - 1)*(h + 1)*(3*h + 1)/4
Let z(y) = y - 12. Let w be z(10). Let a be (w/12)/(12/(-108)). Determine k, given that -3/2*k + 3/2*k**3 + a - 3/2*k**2 = 0.
-1, 1
Suppose -j = -4*j. Suppose 4*h - h**2 + j*h - 5*h = 0. Calculate h.
-1, 0
Let o = -5/29 + 97/58. Let x(m) be the second derivative of 1/4*m**5 - 4*m + 0 + m**2 + o*m**3 + m**4. Solve x(u) = 0 for u.
-1, -2/5
Let m = 6 - -1. Let f = m - 5. Factor -4*p**f + 3*p**2 + p - 2*p - p.
-p*(p + 2)
Let n(d) be the second derivative of 3*d**5/80 - d**4/8 - 5*d**3/8 + 9*d**2/4 + 51*d. Factor n(z).
3*(z - 3)*(z - 1)*(z + 2)/4
Let x(f) = -5*f**4 + 7*f**3 - f**2 - 7*f + 4. Let k(g) = -66*g**4 + 90*g**3 - 12*g**2 - 90*g + 51. Let n(o) = -2*k(o) + 27*x(o). Factor n(d).
-3*(d - 2)*(d - 1)**2*(d + 1)
Let r(v) = -6*v**2 + 5. Let l(k) = k**2 - 1. Suppose 5*p + a = 55, a + 5 + 0 = p. Let s(j) = p*l(j) + 2*r(j). Determine z, given that s(z) = 0.
0
Let 4/7*d**2 - 1/7*d + 0 = 0. Calculate d.
0, 1/4
Let i(x) be the third derivative of 0*x**3 + 7/30*x**6 + 0 - 2/15*x**5 + 0*x**4 + 8/105*x**7 + x**2 + 0*x. Let i(c) = 0. What is c?
-2, 0, 1/4
Let c(x) be the first derivative of -2/3*x**3 + 0*x - 1/3*x**6 - 6/5*x**5 - 1 + 0*x**2 - 3/2*x**4. Factor c(f).
-2*f**2*(f + 1)**3
Factor -4*h + 8*h**2 + 0*h**2 - h**3 - 2*h - h**3.
-2*h*(h - 3)*(h - 1)
Let h(y) be the third derivative of -y**9/45360 - y**8/10080 - y**7/7560 + y**4/12 + 3*y**2. Let z(i) be the second derivative of h(i). Factor z(m).
-m**2*(m + 1)**2/3
Let y = 37/170 + -2/17. Let v(n) be the second derivative of 1/6*n**3 - 3*n + 1/42*n**7 + 1/6*n**4 - y*n**5 - 1/30*n**6 - 1/2*n**2 + 0. Factor v(t).
(t - 1)**3*(t + 1)**2
Find u, given that -5/2*u**2 + 35/4*u**4 - 49/8*u**5 + 3/8*u**3 + 0 - 1/2*u = 0.
-2/7, 0, 1
Let n(g) be the third derivative of g**9/3780 - g**8/1680 + g**7/2520 - g**4/8 + 2*g**2. Let x(r) be the second derivative of n(r). Find b such that x(b) = 0.
0, 1/2
Let l(k) = k**2 + 4*k + 3. Let p be l(-3). Let b(v) be the second derivative of 2/9*v**3 + v + 1/3*v**2 + 1/18*v**4 + p. Solve b(c) = 0.
-1
Let m be (17/204)/(6/112). Factor 4/9*l**2 - 4/9 + m*l**3 - 14/9*l.
2*(l - 1)*(l + 1)*(7*l + 2)/9
Let l(s) be the third derivative of s**5/75 + s**4/60 - s**3/15 - 28*s**2. Factor l(t).
2*(t + 1)*(2*t - 1)/5
Let s(p) be the third derivative of p**5/150 - p**4/40 + p**3/30 - 3*p**