)**2/9
Let -5*y**3 + 2*y - y + y**5 + 3*y**3 = 0. Calculate y.
-1, 0, 1
Let s(g) = -g + 17. Let t be s(14). Factor 2/5*f**t + 6/5*f + 6/5*f**2 + 2/5.
2*(f + 1)**3/5
Let o = -14 + 14. Let r(y) be the third derivative of o*y + 0*y**3 + 2*y**2 + 0 + 1/120*y**5 - 1/24*y**4. Let r(a) = 0. What is a?
0, 2
Suppose 5*h - 3*h = 0. Suppose 3*z - z = h. Factor -2/3*b**5 + z*b + 2/3*b**3 + 0*b**4 + 0 + 0*b**2.
-2*b**3*(b - 1)*(b + 1)/3
Let i = 7 + -6. Let q be i + 1 - (-7 + 7). Solve -2/5 - 11/5*t - 17/5*t**3 - 21/5*t**q - t**4 = 0.
-1, -2/5
Let t(q) be the first derivative of -q**5/25 + 3*q**4/20 - q**3/5 + q**2/10 + 4. Factor t(i).
-i*(i - 1)**3/5
Let f(t) be the first derivative of -t**6/3 - 16*t**5/5 + 9*t**4/2 + 6. Factor f(y).
-2*y**3*(y - 1)*(y + 9)
Let r = 11 + -8. Solve -2*t**2 + t**r - 3*t**2 + 0*t - t - 5*t**3 = 0 for t.
-1, -1/4, 0
Let v(h) be the third derivative of h**9/3780 - h**7/315 + h**5/30 - h**4/4 + 3*h**2. Let q(p) be the second derivative of v(p). Find c, given that q(c) = 0.
-1, 1
Let j = 2/15 + 7/15. Factor -3/5*c**2 - j - 6/5*c.
-3*(c + 1)**2/5
Let c(n) be the first derivative of -3/4*n**4 + n**3 + 3*n**2 - 5 + 0*n. Determine v, given that c(v) = 0.
-1, 0, 2
Let a(o) = -o**3 + 6*o**2 - 4*o - 3. Let r be a(5). Let m = -2 + r. Solve m*k**3 - k**2 - k**3 + 1 + 0 + k = 0 for k.
-1, 1
Let c(h) = -18*h**5 + 22*h**4 + 2*h**3 - 6*h**2 - 2*h - 2. Let r(y) = -18*y**5 + 21*y**4 + y**3 - 5*y**2 - 2*y - 3. Let a(s) = 3*c(s) - 2*r(s). Factor a(g).
-2*g*(g - 1)**2*(3*g + 1)**2
Let y(c) = -c**2 - 9*c + 12. Let t be y(-10). Let l(m) be the first derivative of 0*m**3 - t + 0*m**2 + 0*m + 1/4*m**4. Factor l(i).
i**3
Let l(c) be the first derivative of 7*c**5/5 - 3*c**4 - 11*c**3/3 + 6*c**2 + 4*c + 6. Determine v, given that l(v) = 0.
-1, -2/7, 1, 2
Let b(h) = h**2 - 22*h + 4. Let w be b(22). Let f(v) be the second derivative of 0 - 4*v + 1/3*v**3 + 1/5*v**5 + 0*v**2 - 3/4*v**w. Factor f(x).
x*(x - 2)*(4*x - 1)
Suppose 2*w = 2, -5*k - 3*w = 2*w - 15. Let r(o) be the third derivative of 0 - 1/210*o**5 + 1/42*o**4 + 0*o - 2*o**k - 1/21*o**3. Factor r(a).
-2*(a - 1)**2/7
Let u be 9/6*(-56)/(-24). Solve y + 0 + u*y**2 = 0.
-2/7, 0
Suppose -36 = -3*k + 3*u, 27 = 2*k + 2*k + 3*u. Suppose 0*y = -3*y + k. Let -4*w**3 + 11*w**y + 3*w**3 + 18*w**2 - 18*w**4 - 14*w**5 + 4*w = 0. What is w?
-1, -2/7, 0, 1
Suppose 25*z = 18*z + 28. Let u(s) be the third derivative of -1/36*s**z + 2/9*s**3 + 0 - 1/90*s**5 - 4*s**2 + 0*s. Factor u(f).
-2*(f - 1)*(f + 2)/3
Let o(q) = q - 8. Suppose 5*x - 22 - 28 = 0. Let z be o(x). Let -1/3 + 2/3*h - 1/3*h**z = 0. What is h?
1
Let m(t) be the first derivative of -t**7/2940 - t**6/1260 + t**5/210 - t**3/3 + 3. Let g(z) be the third derivative of m(z). Factor g(j).
-2*j*(j - 1)*(j + 2)/7
Let r(q) = -q**3 - 3*q**2 - 5*q - 4. Let j be r(-2). Let v be 0 - (-3)/3*j. Factor 2/3*p**3 + 16/3*p - 10/3*p**v - 8/3.
2*(p - 2)**2*(p - 1)/3
Let v(x) be the third derivative of -x**8/280 + 4*x**7/525 + 2*x**6/75 - x**5/25 - x**4/12 + 2*x**3/15 + x**2 - 7. Solve v(m) = 0.
-1, 1/3, 1, 2
Let y(z) be the first derivative of 5/8*z**2 + 1 - 1/4*z**3 + 1/5*z**5 - 1/4*z - 5/16*z**4. Let y(v) = 0. Calculate v.
-1, 1/4, 1
Let n(t) = 2*t + 3. Let i be n(0). Let o be (5 - (-9)/i) + -4. Factor -1/4*a**5 + 0*a**o + 0*a**2 + 0*a + 1/4*a**3 + 0.
-a**3*(a - 1)*(a + 1)/4
Let z = -12/5 - -3. Suppose -3/5*w**2 - 1/5*w - 1/5*w**4 + 0 - z*w**3 = 0. Calculate w.
-1, 0
Suppose -6*j = -j - 15. Factor 0*x**5 - 2*x**5 + 2*x**2 - 4*x**3 + 2*x**j + 4*x**3 - 2*x**4.
-2*x**2*(x - 1)*(x + 1)**2
Suppose 15 = -3*b, -3*p + 3*b + 5 = -2*p. Let t(l) = -l**2 - 11*l - 10. Let g be t(p). Solve 0*s - 6/5*s**3 + g - 4/5*s**2 = 0 for s.
-2/3, 0
Suppose -3 = 4*i + a, -3*a = -4*i + 6 + 3. Suppose i*r = r - 2. Factor -3*z**2 - 7 + 3*z**2 + 1 - 9*z - 3*z**r.
-3*(z + 1)*(z + 2)
Suppose -o = 2*o - 18. Let i be (8/12)/(2/o). What is v in -13*v + 2*v**i + 10*v + 7*v = 0?
-2, 0
Let g(m) = 4*m**4 - 24*m**3 - 34*m**2 - 10*m + 10. Let p(c) = c**4 - c**3 - 7*c**3 - 3*c - 7*c**2 - 4*c**2 + 0 + 3. Let k(x) = -3*g(x) + 10*p(x). Factor k(y).
-2*y**2*(y + 2)**2
Factor g + 15/2*g**2 - 1/2 - 18*g**3.
-(3*g - 1)**2*(4*g + 1)/2
Determine k so that -6*k - 40*k**2 + 24*k**4 + 326*k**3 - 221*k**3 - 163*k**3 = 0.
-1/3, -1/4, 0, 3
Suppose j - 4*d = -4*j + 67, 0 = 4*j - d - 47. Let u = 16 - j. Let 2*k**u - 2*k**3 - 2*k**4 - 3*k**2 + 4*k**2 + k**2 = 0. What is k?
-1, 0, 1
Let h = -6 + 8. Suppose -k + 9 + 13 = 5*p, 3*k - h = p. Factor k*v**3 - 5*v**3 - 3*v**3 - 10*v + 4 + 4*v**3 + 8*v**2.
-2*(v - 2)*(v - 1)**2
Let i(w) = w**2 - 2*w + 76. Let v be i(0). Let r be v/19 + 11/(-3). Factor 2/3*z**2 - 1/3*z + r*z**5 - 2/3*z**4 + 0*z**3 + 0.
z*(z - 1)**3*(z + 1)/3
Suppose -3*w**2 - 1/2*w**3 - 6*w - 4 = 0. What is w?
-2
Suppose 2*n = 3 + 7. Suppose -n = -3*a + 7. Suppose 50/3*s**a + 0 + 30*s**3 + 8/3*s + 16*s**2 = 0. What is s?
-1, -2/5, 0
Suppose 5 = 2*l - 3. Suppose 0 = -2*x - 0*x. Solve 1/2*n**l + 0*n**3 - 1/2*n**2 + x*n + 0 = 0 for n.
-1, 0, 1
Let w(u) be the second derivative of -u**7/35 - 16*u**6/75 - 29*u**5/50 - 2*u**4/3 - 4*u**3/15 + 3*u. Suppose w(l) = 0. Calculate l.
-2, -1, -1/3, 0
Let y(b) be the third derivative of -b**7/840 - b**6/80 - b**5/20 - b**4/3 + 6*b**2. Let l(j) be the second derivative of y(j). Factor l(s).
-3*(s + 1)*(s + 2)
Let h = 20 + -17. Suppose 0 = 2*x + 6, 22 = 4*z - 3*x - h. Factor -1/5*c**z + 0 + 0*c**3 + 0*c**2 - 1/5*c**5 + 0*c.
-c**4*(c + 1)/5
Suppose -2*l + 132 = 2*l. Factor -40*n - 2 + l*n**3 - 6*n**2 + 98*n**4 + 107*n**3 + 10.
2*(n + 1)**2*(7*n - 2)**2
Let u(a) be the first derivative of -a**3/30 - 3*a**2/20 + 30. Factor u(b).
-b*(b + 3)/10
Find p, given that -p**3 - 4*p + 7*p + 2*p**3 + 12*p**2 - 4*p**3 - 12 = 0.
-1, 1, 4
Factor -2*k**2 - 10*k + 4*k**2 - 2*k**2 + 5*k**2.
5*k*(k - 2)
Let m be 3/(-6) - (-39)/6. Determine u, given that 10*u**5 - 4*u + u**2 + 14*u**4 - 10*u**2 - m*u**3 - 5*u**2 = 0.
-1, -2/5, 0, 1
Let d be (-412)/(-220) - (-12)/(-20). Factor -d*v**2 + 4/11 - 10/11*v.
-2*(v + 1)*(7*v - 2)/11
Let h(t) be the third derivative of t**5/240 + t**4/48 + t**3/24 - 21*t**2. Factor h(w).
(w + 1)**2/4
Let v be 18/14 + (-2)/2. Let i = 1158/1253 - 12/179. Factor -4/7*a**2 - v + i*a.
-2*(a - 1)*(2*a - 1)/7
What is d in 9*d**3 - 3*d**4 + 8*d**2 - 10*d**2 - 4*d**2 = 0?
0, 1, 2
Let a be ((-28)/(-42))/((-8)/(-3)). Let x(z) be the first derivative of -8*z - a*z**4 - 2*z**3 - 1 - 6*z**2. Factor x(l).
-(l + 2)**3
Factor -7*r**4 - 4*r**3 + 10*r**2 + 3*r**4 - 8 - 7*r**2 + 4*r + 9*r**2.
-4*(r - 1)**2*(r + 1)*(r + 2)
Let w be (-16)/14*5/10*-1. Let 0 + 0*i - w*i**2 + 2/7*i**3 = 0. Calculate i.
0, 2
Suppose 5*c - 21 + 6 = 0. Suppose 4*k - 2*o - o = c, -5*o = k + 5. Factor 2/7*v**2 + 2/7*v**3 + 0 + k*v.
2*v**2*(v + 1)/7
Let p = -3 - -3. Let j be 1 + (p + 1)*2. Determine k so that -1 - 3*k**4 + 3*k + 3 - 7*k**3 + 0 - j*k**2 = 0.
-1, 2/3
Let c(v) be the second derivative of 7*v**5/30 + 5*v**4/18 - 16*v**3/9 + 4*v**2/3 - v. Find r such that c(r) = 0.
-2, 2/7, 1
Let a(o) be the first derivative of -o**5/5 + 2*o**4/3 - 2*o**3/3 + 8*o + 2. Let p(z) be the first derivative of a(z). Factor p(x).
-4*x*(x - 1)**2
Factor 1/2*l**2 - 3/2*l + 5/6 + 1/6*l**3.
(l - 1)**2*(l + 5)/6
Let 3/5*o**2 + 0 + 3/5*o = 0. Calculate o.
-1, 0
Let p(f) be the first derivative of f**4/10 - 2*f**3/5 + 2*f**2/5 + 4. Suppose p(h) = 0. Calculate h.
0, 1, 2
Let v = 11 + -9. Let g(s) be the second derivative of -1/2*s**v - 1/48*s**4 + s - 1/6*s**3 + 0. Determine n so that g(n) = 0.
-2
Let a(m) be the second derivative of m**4/12 + 2*m**3/3 + 5*m**2/2 + m. Let y = 24 - 23. Let v(u) = u + 1. Let s(l) = y*a(l) - 5*v(l). Factor s(q).
q*(q - 1)
Factor -2*x**3 - 6*x**4 + 8*x**2 + 141*x**5 + 2*x**3 - 139*x**5.
2*x**2*(x - 2)**2*(x + 1)
Suppose -2*r - 56 = -16*r. Find o such that 6/7*o**r - 6/7*o + 6/7*o**2 - 4/7 + 2*o**3 = 0.
-1, 2/3
Let c = 361/30 + -12. Let r(l) be the third derivative of 0*l + c*l**5 + 0*l**3 + 0 - 1/42*l**4 - 1/84*l**6 + 3*l**2. Solve r(m) = 0.
0, 2/5, 1
Let t = -5839/20 + 292. Let x(y) be the second derivative of 1/6*y**3 + 0*y**4 - 2*y - t*y**5 + 0 + 0*y**2. Solve x(a) = 0.
-1, 0, 1
Let l(p) be the third derivative of 0*p**3 - 1/20*p**6 + 1/35*p**7 + 0*p + 0*p**4 + 1/30*p**5 + 0 + 2*p**2 - 1/168*p**8. Factor l(i).
-2*i*