11*i**2 + 4/11*i + 0 - 7/11*i**5 = 0.
-1, -2/7, 0, 2
Let z be -5 - -3 - (3 - 1). Let n(s) = -s**2 - 6*s - 4. Let i be n(z). Solve -2 - m**4 + 3*m**4 - i*m**4 + 4*m**2 = 0.
-1, 1
Let j(z) be the first derivative of z**6/3 - 2*z**5/5 - z**4 + 4*z**3/3 + z**2 - 2*z + 1. Determine s, given that j(s) = 0.
-1, 1
Let g be 352*((-6)/2 - -7). Let w = 7072/5 - g. Let -w*m**3 + 14/5*m + 16/5*m**2 + 2/5 = 0. Calculate m.
-1/4, 1
Suppose -6*w = -w - 10. Factor 0 - 1/2*m - m**w.
-m*(2*m + 1)/2
Let w = -2008 - -18122/9. Let 20/3*b - w*b**2 - 2 = 0. Calculate b.
3/5
Let w be (-3 - 40/(-15))*(-6)/4. Suppose -w*v**2 + 0 + 0*v = 0. What is v?
0
Let c(j) = 12*j**4 - 2*j**3 + 4*j**2 - 14*j - 14. Let y(h) = h**4 - h - 1. Let o(w) = 2*c(w) - 28*y(w). Factor o(k).
-4*k**2*(k - 1)*(k + 2)
Let f(r) be the third derivative of 1/945*r**7 - 1/9*r**3 - 2/27*r**4 - 1/45*r**5 + 0*r**6 + 0 + 0*r + 5*r**2. Factor f(h).
2*(h - 3)*(h + 1)**3/9
Let z(a) be the second derivative of a**7/21 - a**6/15 - a**5/5 + a**4/3 + a**3/3 - a**2 - 7*a. Factor z(p).
2*(p - 1)**3*(p + 1)**2
Determine d so that 2/5*d**2 + 1/5 - 3/5*d = 0.
1/2, 1
Suppose 4 = y + 1. Solve y*h**2 - 2*h - 4*h**2 + h**2 - h**2 = 0 for h.
-2, 0
Factor -5*p**5 + 14*p - 4*p - 10*p**4 + 10*p**2 - 5*p.
-5*p*(p - 1)*(p + 1)**3
Factor -3*a**2 + 5*a**2 - 5*a**2 + 5 - 2*a**2.
-5*(a - 1)*(a + 1)
Let d(q) be the second derivative of q**5/60 + 13*q**4/12 + 169*q**3/6 + 2197*q**2/6 + 46*q. Solve d(s) = 0 for s.
-13
Suppose 4*l + 5*c = 0, 0 = 3*l + 4*c - 8*c. Factor -2/3*y**5 + l*y - 2/3*y**2 + 2/3*y**4 + 0 + 2/3*y**3.
-2*y**2*(y - 1)**2*(y + 1)/3
Let s(a) = a. Let b be s(0). Let n = b + 0. Solve n*q**3 + 5*q**3 + 3*q**3 - 6*q**2 - 2*q = 0 for q.
-1/4, 0, 1
Suppose 5/3*o**2 - 8/3*o + 4/3 - 1/3*o**3 = 0. Calculate o.
1, 2
Factor 0 - 3*m + 3/2*m**3 + 3/2*m**2.
3*m*(m - 1)*(m + 2)/2
Let w(k) = 3*k**2 + k - 2. Let p(x) be the first derivative of -3*x**3 - 3*x**2/2 + 6*x - 2. Let u(f) = -3*p(f) - 8*w(f). Solve u(y) = 0 for y.
-1, 2/3
Let y be 21/21 + 2*1. Factor 0 + 1/4*k**y + 0*k**2 - 1/4*k.
k*(k - 1)*(k + 1)/4
Suppose 4*u - 8 = -0. Factor 10*l + 8*l**u + 2*l**3 - 5 + 4 + 2 + 3.
2*(l + 1)**2*(l + 2)
Let w(k) be the first derivative of k**6/14 - 6*k**5/35 - 3*k**4/28 + 2*k**3/7 - 14. Determine p, given that w(p) = 0.
-1, 0, 1, 2
Let c(w) be the first derivative of -4 + w**2 - 1/5*w**5 - 8/3*w**3 + w**4 + 1/60*w**6 + 0*w. Let y(d) be the second derivative of c(d). Factor y(z).
2*(z - 2)**3
Let h(y) be the first derivative of -5*y**4/24 + y**3 + 2*y**2/3 + 52. Factor h(o).
-o*(o - 4)*(5*o + 2)/6
Suppose b + 3*b - 8 = 0. Suppose -4*f - 2*t = 3*t + 4, 4*f = 5*t + 36. Factor -4*l**2 + l**2 + b*l**f - 3*l**2 + 4*l**2.
2*l**2*(l - 1)*(l + 1)
Let c be (4/(-6))/(5/(-30)). Let b be ((-96)/45)/4*21/(-28). Suppose -1/5*a**2 + b*a**3 + 0*a + 0 - 1/5*a**c = 0. What is a?
0, 1
Let z(i) be the second derivative of -i**4/72 + i**3/12 - i**2/6 - 26*i. Find f such that z(f) = 0.
1, 2
Let c(r) be the first derivative of -r**7/525 + r**6/75 - 2*r**5/75 - 2*r**2 + 2. Let h(y) be the second derivative of c(y). Factor h(b).
-2*b**2*(b - 2)**2/5
Let g(u) = -3*u**2 + 12*u + 6. Let q(m) = 4*m**2 - 11*m - 7. Let d(f) = -7*g(f) - 6*q(f). Factor d(p).
-3*p*(p + 6)
Find a, given that 2/15*a**3 - 2/5*a**2 - 2/15 + 2/5*a = 0.
1
Let u(b) be the first derivative of -b**5/4 - 5*b**4/4 - 5*b**3/4 - 18. Suppose u(r) = 0. Calculate r.
-3, -1, 0
Let j(y) be the second derivative of 0*y**6 - 4*y + 1/30*y**5 - 1/189*y**7 - 1/27*y**4 + 0 + 0*y**3 + 0*y**2. What is f in j(f) = 0?
-2, 0, 1
Let v be ((-6)/2 + 2)*-2. Find z, given that -6 - 5*z**2 - v*z + 17*z**2 - 19*z = 0.
-1/4, 2
Let k = 2/319 - -1262/2233. Find f, given that -k*f**4 - 4/7*f**2 + 0 - 8/7*f**3 + 0*f = 0.
-1, 0
Let y = 145 - 140. Factor -1/5*x**2 + 0 - 1/5*x**3 + 1/5*x**y + 1/5*x**4 + 0*x.
x**2*(x - 1)*(x + 1)**2/5
Let i(t) be the third derivative of -49*t**6/40 + 7*t**5/5 - t**4/2 + 8*t**2. Suppose i(q) = 0. What is q?
0, 2/7
Find t such that 4*t**2 + 8*t**2 + t - 11*t**2 = 0.
-1, 0
Suppose 3*p - 3*p = 10*p. Factor p*o + 2/3 - 2/3*o**2.
-2*(o - 1)*(o + 1)/3
Suppose 6*b - 12 = -0*b. Let g(i) be the second derivative of 1/100*i**5 + 0*i**3 + 1/60*i**4 + 0 + 2*i + 0*i**b. Factor g(k).
k**2*(k + 1)/5
Solve -8/5*v + 18*v**3 + 0 + 16/5*v**2 = 0.
-2/5, 0, 2/9
Let w = -28 - -17. Let x = w - -24. Factor 2 - x*o**3 - 4*o + o**4 - 6*o**4 + 2*o - 9*o**2 + 3*o.
-(o + 1)**3*(5*o - 2)
Let c(z) be the third derivative of -2*z**7/105 + z**6/10 - 2*z**5/15 + 45*z**2. Factor c(r).
-4*r**2*(r - 2)*(r - 1)
Suppose 2*a = 5*l + 9, 3*l = 9 - 12. Find t, given that -18/17*t + 0 - 12/17*t**4 + 12/17*t**a + 2/17*t**5 + 16/17*t**3 = 0.
-1, 0, 1, 3
Suppose -q - 3*f - 1 = 0, -4 = -3*q + 4*f + 6. Let i = 16/7 - q. Determine l so that 0 + 0*l - i*l**2 = 0.
0
Factor 3*s**3 - 2 - s - 6*s**2 + 2 + 6*s**4 - 2*s.
3*s*(s - 1)*(s + 1)*(2*s + 1)
Let q(x) be the second derivative of 0*x**4 + 0*x**2 + 1/18*x**3 + x - 1/30*x**5 + 0*x**6 + 1/126*x**7 + 0. Solve q(z) = 0.
-1, 0, 1
Let f(a) be the first derivative of -a**6/90 + a**5/15 + a**4/2 + 7*a**3/3 + 4. Let z(u) be the third derivative of f(u). Let z(s) = 0. What is s?
-1, 3
Suppose -3*l - 9 = 0, 0*w - 12 = -2*w + 2*l. Let 2*h**5 + w*h**4 + 2*h - 6*h**3 + 3 - 8*h**2 + 2*h**2 + h**5 + h = 0. Calculate h.
-1, 1
Let k(m) = -2*m**2 + 2. Let u be k(-5). Let f = u + 145/3. What is r in 0 - f*r**5 - 4/3*r**4 - 2*r**3 - 4/3*r**2 - 1/3*r = 0?
-1, 0
Let b(o) = -o**2 - 4*o - 3. Let m be b(-1). Let c = -1/4 + 7/12. Let -c*x**3 - 1/3*x**2 + m + 0*x = 0. Calculate x.
-1, 0
Let s(l) = 12*l + 4. Let o(z) = -z**2 + 13*z + 5. Suppose c = -4*c - 25. Let m(g) = c*s(g) + 4*o(g). Suppose m(h) = 0. What is h?
-2, 0
Let p(w) = w**3 - w - 1. Let b = -6 + 9. Let f(j) = 7*j**3 - 3*j**3 + j**b + j - 1 - 1 - 6*j**2. Let n(u) = -f(u) + 2*p(u). Solve n(c) = 0 for c.
0, 1
Let z(j) be the third derivative of -j**6/120 - j**5/30 - j**4/24 + 5*j**2. Factor z(t).
-t*(t + 1)**2
Let t(d) be the second derivative of d**7/378 - d**5/60 - d**4/54 + 13*d. Suppose t(q) = 0. What is q?
-1, 0, 2
Suppose 2*v + 97 = 101. Suppose 4/3 - 2/3*b**v + 2/3*b = 0. Calculate b.
-1, 2
Let p(v) be the first derivative of 1/5*v**5 + 0*v + 1/12*v**6 + 2 + 0*v**4 - 1/4*v**2 - 1/3*v**3. Determine c, given that p(c) = 0.
-1, 0, 1
Let m be (8/(-20))/((-3)/30). Factor -t**4 - 3 + 3 - t**m.
-2*t**4
Let o(j) be the second derivative of -1/10*j**5 - 1/6*j**4 + 0*j**3 + 0 + 3*j + 0*j**2. Determine r, given that o(r) = 0.
-1, 0
Let a(m) be the third derivative of m**6/660 + m**5/55 + 3*m**4/44 + 13*m**2. Factor a(x).
2*x*(x + 3)**2/11
Let c(r) be the second derivative of 7*r**6/1800 + r**5/120 - r**4/60 - r**3/2 + 2*r. Let d(n) be the second derivative of c(n). Suppose d(u) = 0. Calculate u.
-1, 2/7
Let z(d) be the second derivative of -1/2*d**3 + 0 + 1/4*d**4 - 1/20*d**5 + 1/2*d**2 + d. Factor z(n).
-(n - 1)**3
Let d be ((-4)/6)/((-6)/36). Factor 0 + 0*r**d + 6/5*r**3 + 0*r - 2/5*r**5 - 4/5*r**2.
-2*r**2*(r - 1)**2*(r + 2)/5
Factor 5 - 8 + 54*d**3 + 20*d**2 - 9 + 15*d**4 + 31*d**2.
3*(d + 1)**2*(d + 2)*(5*d - 2)
Let y = 18 - 13. Let b be 0 + (8/y)/4. Factor -b*l + 4/5 - 2/5*l**2.
-2*(l - 1)*(l + 2)/5
Let f be -2 - -3 - (-6)/3. Determine p, given that 6*p**4 - 2*p**f - 2*p**2 + 2*p - 4*p**2 + 0*p**2 = 0.
-1, 0, 1/3, 1
Let u(c) = 2*c**2 + 2. Let a(i) be the second derivative of 3/2*i**2 + 1/6*i**3 + 1/4*i**4 - 2*i + 0. Let m(t) = -4*a(t) + 5*u(t). Factor m(q).
-2*(q + 1)**2
Let m(a) be the third derivative of a**9/6552 - a**8/10920 - a**3 + 2*a**2. Let k(t) be the first derivative of m(t). Factor k(w).
2*w**4*(3*w - 1)/13
Let l(n) be the first derivative of -n**7/280 - n**6/90 - n**5/90 - n**3/3 + 4. Let r(i) be the third derivative of l(i). Suppose r(w) = 0. What is w?
-2/3, 0
Suppose s - 4*x = 5, -8 = 4*x - 2*x. Let j = s - -47/4. Find r such that 1/4*r**3 - j*r**2 + 0 + 1/2*r = 0.
0, 1, 2
Determine a so that 4*a**4 - 97*a**3 + 1 - 1 + 101*a**3 = 0.
-1, 0
Let f(a) = a**3 + a**2 + a - 4. Let x be f(0). Let b be (-8)/x - (-2 + 1). Factor 2*l + 1 - b*l**4 + 2*l**4 - 2*l**3 - 2*l**2 + 2*l**2.
-(l - 1)*(l + 1)**3
Let n(j) be the third derivative of -j**9/453600 + 2*j**5/15 - 4*j**2. Let i(q) be the third derivative of n(q). Factor i(o).
-2*o**3/15
Let s(z) be the third 