 - 16/7*w**2 + 6 - 8/7*w. Factor m(u).
2*(u - 1)*(5*u + 2)**2/7
Let o be (-1 + (15/(-13) - -2))*-1. Factor -2/13*v**2 - o*v + 4/13.
-2*(v - 1)*(v + 2)/13
Suppose -16 + 5*u**2 - 16*u + 51*u - 24 = 0. Calculate u.
-8, 1
Suppose -4*u - 108 = -5*w - 6*u, 12 = 3*u. Suppose 2*h - 7*h + w = 0. Factor -3*x**3 + 3*x**2 + 0*x**2 + 4*x**h - 3*x + 6*x - 7*x**4.
-3*x*(x - 1)*(x + 1)**2
Let b(c) = -2*c**2 - c + 27. Let r be b(0). Let z = r - 25. Solve 1/5*t - 1/5*t**3 - 1/5*t**z + 1/5 = 0.
-1, 1
Suppose 33 = -5*r - 27. Let n be ((-10)/(-15))/(r/(-27)). Determine u, given that -3/2*u - n + 3/2*u**2 + 3/2*u**3 = 0.
-1, 1
Let d(q) = q**2 + 5*q + 6. Let y be d(-4). Suppose -3 = -y*t + t. Solve -a**2 + 2*a**3 - t*a**3 + a**3 - a**3 = 0 for a.
-1, 0
Let l(b) be the first derivative of 1/20*b**5 + 0*b**2 + 1/4*b**4 - 1/12*b**3 - 1/6*b**6 + 0*b - 3. Determine n, given that l(n) = 0.
-1, 0, 1/4, 1
Factor 1/3*b**4 - 5/3*b**3 + 2*b**2 + 4/3*b - 8/3.
(b - 2)**3*(b + 1)/3
Let s = 4/11783 - -906923/1084036. Let d = s - 2/23. Suppose 3/2*t**2 + 0*t - d + 0*t**3 - 3/4*t**4 = 0. What is t?
-1, 1
Suppose -3*p + 12 = 3*p. Let h(x) be the first derivative of 1 - 1/21*x**6 + 3/7*x**p - 2/7*x - 4/21*x**3 + 6/35*x**5 - 1/7*x**4. Factor h(j).
-2*(j - 1)**4*(j + 1)/7
Let x(t) be the first derivative of 1/3*t**2 + 1/6*t**3 + 1/36*t**4 - 2 - 2*t. Let u(c) be the first derivative of x(c). Factor u(y).
(y + 1)*(y + 2)/3
Suppose 22 = 2*y - 2*j, -5*y + 0*j + 3*j = -47. Suppose -5 + y = d. What is z in 0 - 1/2*z**3 + 1/2*z**d + 0*z = 0?
0, 1
Let q(g) = -11*g**2 + 17*g - 7. Let z(n) = -4*n**2 + 6*n - 2. Suppose -13 = -2*a - 1. Let b(x) = a*q(x) - 17*z(x). Suppose b(r) = 0. What is r?
-2, 2
Suppose 0 = -5*o + 2 + 28. Factor -o*x**4 + 2*x**2 + 0*x**2 + x**3 + 0*x**2 + 3*x**4.
-x**2*(x - 1)*(3*x + 2)
Let m(r) be the second derivative of 0 + 9/8*r**3 + 3/16*r**4 + 27/8*r**2 + 1/80*r**5 - 3*r. Factor m(v).
(v + 3)**3/4
Let x = 27/50 - 1/25. Factor x*k**2 + 1/2*k + 0.
k*(k + 1)/2
Let m(v) be the first derivative of -v**6/4 - 3*v**5/5 + 3*v**4/8 + v**3 + 25. Determine o so that m(o) = 0.
-2, -1, 0, 1
Factor 2*v - 1/3*v**2 + 7/3.
-(v - 7)*(v + 1)/3
Let v(z) = 3*z**2 + z + 1 - 4*z**2 + 0*z. Let g be (-2)/8 + 42/8. Let i(j) = -6*j**2 + 7*j + 4. Let l(n) = g*v(n) - i(n). Let l(y) = 0. What is y?
1
Let o = 8 + -8. Let f = 2 + o. Factor 0 - 2/7*u**3 - 2/7*u**4 + 2/7*u + 2/7*u**f.
-2*u*(u - 1)*(u + 1)**2/7
Let f(z) = -z**4 + z**2 + 1. Let j(w) = -w**5 + 4*w**4 - 9*w**3 + 8*w**2 - 2*w + 1. Let h(m) = -3*f(m) + 3*j(m). Factor h(y).
-3*y*(y - 2)*(y - 1)**3
Let s(j) be the first derivative of j**2 + 3 + 0*j + 2/3*j**3. Suppose s(p) = 0. What is p?
-1, 0
Suppose m = 5 - 1, -5*u + 23 = 2*m. Factor -3*c**2 + 0*c**2 + 6*c**4 - 2*c**3 + 0*c**2 - c**u.
3*c**2*(c - 1)*(2*c + 1)
Let p(q) be the second derivative of -q**4/4 + q**3/2 + 10*q. What is y in p(y) = 0?
0, 1
Let n(y) be the third derivative of -y**10/100800 + y**8/1680 - y**6/30 + y**5/60 - 4*y**2. Let m(k) be the third derivative of n(k). Find t such that m(t) = 0.
-2, 2
Let c(b) = -b**3 - 2*b**3 + 0*b**2 + 11 + 3*b**2 - 9*b - b**3. Let r(x) = x**3 + x**2 - x - 1. Let m(k) = 2*c(k) + 6*r(k). Suppose m(l) = 0. What is l?
2
Suppose 0*n**3 + 0*n + 0*n**2 - 3/4*n**4 + 0 = 0. What is n?
0
Let c = 15 + -29/2. Let t be 2 - -1 - 22/8. What is p in t*p**2 + 1/4 - c*p = 0?
1
Let j(z) = 14*z**2 - 12*z - 14. Let w(v) = -v - 6*v**2 + v**2 - 1 + 6*v**2. Let c(q) = j(q) - 12*w(q). Factor c(n).
2*(n - 1)*(n + 1)
Let t(x) be the second derivative of 0 + 0*x**2 + 1/50*x**6 - 3/50*x**5 + 1/20*x**4 + x + 0*x**3. Suppose t(g) = 0. What is g?
0, 1
Let t(w) be the first derivative of w**5/10 - w**4/4 + w**3/6 - 14. Find q such that t(q) = 0.
0, 1
Let o be 40/(-6)*40/(-96). Let k(a) be the first derivative of 0*a**2 + 0*a**3 + o*a**6 + 2/3*a**4 + 0*a - 8/3*a**5 - 2. Find n such that k(n) = 0.
0, 2/5
Let j(c) = -c**4 - c**3 - c**2 + c + 1. Let f(g) = 5*g**4 - 7*g**3 - 12*g**2 - 20*g - 11. Let w = 44 - 62. Let v(p) = w*j(p) - 2*f(p). Factor v(s).
2*(s + 1)*(s + 2)*(2*s + 1)**2
Let o(b) = -7*b + 2*b**2 - b**2 + 6 + 0*b**2. Let d be o(6). Factor 0 - 1/2*q**4 + d*q + 0*q**3 + 1/2*q**2.
-q**2*(q - 1)*(q + 1)/2
Suppose 17 = -c + 2*f, f = 5 - 1. Let x(q) = q**3 + 8*q**2 - 10*q + 6. Let u be x(c). Let u - 15 + a**2 = 0. What is a?
0
Let a be 2*1/(-2) + 4. Find g, given that 0*g**2 - 2/5*g**5 + 4/5*g**a + 0*g**4 + 0 - 2/5*g = 0.
-1, 0, 1
Let i(m) be the second derivative of -2*m + 0 - 1/3*m**3 - 1/12*m**4 + 0*m**2. Suppose i(f) = 0. What is f?
-2, 0
Let i(d) = 0*d**2 - 2*d**2 - d**5 - d**2 - d - 3*d - 7*d**4. Let q(p) = p**5 + 8*p**4 + 4*p**2 + 5*p. Let r(v) = -6*i(v) - 5*q(v). Factor r(h).
h*(h - 1)*(h + 1)**3
Let 3/4*h**5 + 27/4*h - 3/2 - 9/2*h**4 - 12*h**2 + 21/2*h**3 = 0. Calculate h.
1, 2
Let n(z) be the second derivative of z**7/105 + z**6/30 - z**4/6 - z**3/3 - z**2 + 2*z. Let s(j) be the first derivative of n(j). Factor s(a).
2*(a - 1)*(a + 1)**3
Let y(b) be the second derivative of -b**7/300 - b**6/450 + 5*b**3/6 + b. Let z(i) be the second derivative of y(i). Let z(r) = 0. Calculate r.
-2/7, 0
Let n(r) be the second derivative of r**6/45 + 2*r**5/15 + r**4/6 - 4*r**3/9 - 4*r**2/3 + r. Let n(g) = 0. What is g?
-2, -1, 1
Factor -2*h**2 - 66 + 4*h + 66.
-2*h*(h - 2)
Let w(g) = 45*g**4 - 15*g**3 - 135*g**2 - 25. Let r(y) = 11*y**4 - 4*y**3 - 34*y**2 - 6. Let a(f) = 25*r(f) - 6*w(f). Let a(u) = 0. What is u?
-2, 0, 4
Suppose -1 = 3*c - 10. Suppose -3*b = -b - 4. Find r, given that r**3 - 3*r - b + 3 - 2*r**c + 3*r**2 = 0.
1
Let t(z) = -z**2 + 7*z + 7. Let u(l) = l**2 - 4*l - 4. Let x = 0 - -2. Suppose 16 = 2*m + x*m. Let o(h) = m*t(h) + 7*u(h). Factor o(k).
3*k**2
What is a in 1/6*a**3 - 2/3*a + 4/3 - 1/3*a**2 = 0?
-2, 2
Let k(i) be the first derivative of 0*i**2 + 0*i - 1/15*i**6 - 3 - 4/25*i**5 + 0*i**3 - 1/10*i**4. Factor k(p).
-2*p**3*(p + 1)**2/5
Let u(w) be the first derivative of -1/150*w**5 + 0*w**3 + 0*w + 1/2*w**2 - 1/60*w**4 + 2. Let z(x) be the second derivative of u(x). Solve z(t) = 0.
-1, 0
Let s = -8 + 4. Let y be (35/(-21))/(10/s). Let -8/3*x**2 + y*x**3 + 10/3*x - 4/3 = 0. Calculate x.
1, 2
Let m be 1/5*(-3)/((-9)/30). Factor 0 + 1/4*t**m + 1/4*t.
t*(t + 1)/4
Determine l, given that 4/3*l**2 - 4/3*l**3 + 8/3*l + 0 = 0.
-1, 0, 2
Let g = 11/2 - 31/6. Let 1/3*i**3 - g*i - 1/3 + 1/3*i**2 = 0. Calculate i.
-1, 1
Let h(x) be the first derivative of 2/5*x**5 + 1/2*x**4 - 1 + 0*x**3 + 0*x**2 + 0*x. Suppose h(c) = 0. Calculate c.
-1, 0
Let v(u) be the first derivative of u**3/3 + 2*u**2 + 3*u + 23. Factor v(n).
(n + 1)*(n + 3)
Let w(l) be the first derivative of -2/3*l**6 - 5 + 20/21*l**3 - 4/7*l**2 + 0*l - 4/7*l**5 + 9/7*l**4. Solve w(a) = 0 for a.
-1, 0, 2/7, 1
Let c be (1/(-2))/(5/(-20)). Suppose c*y + 16 = 7*x - 3*x, x = y + 5. Factor 14*i + 23*i**3 - 3*i**2 - 2 - 27*i**2 - 3*i**3 - 2*i**x.
2*(i - 1)*(3*i - 1)**2
Suppose 2*v - 4*l = 16, -5*l - 15 = -0. Factor -16/3*k - 8/3 - 2*k**3 + 22/3*k**v.
-2*(k - 2)**2*(3*k + 1)/3
Let a(h) be the third derivative of 0*h + 3*h**2 + 0 + 1/300*h**5 - 1/120*h**4 + 0*h**3. Factor a(f).
f*(f - 1)/5
Let c = -101/15 + 25/3. Let z be 12/10 - 2/(-5). Let 2/5*q**2 + c + z*q = 0. Calculate q.
-2
Suppose 12*r = 27*r - 30. Suppose -3/4*l**3 + 0 + 0*l**r + 3/4*l = 0. What is l?
-1, 0, 1
Let r(a) be the first derivative of -1 - 1/9*a**3 + 0*a**2 + 0*a - 1/12*a**4. Suppose r(k) = 0. Calculate k.
-1, 0
Let r = -154/3 - -155/3. Let m = 5 - 2. Factor -1/3*v + 1/3*v**2 + 1/3*v**m - r.
(v - 1)*(v + 1)**2/3
Let c(o) be the second derivative of -o**7/28 - o**6/20 + 3*o**5/40 + o**4/8 + o. Factor c(u).
-3*u**2*(u - 1)*(u + 1)**2/2
Let z = -17/8 + 59/24. Factor 1/3*f + 2/3*f**2 + z*f**3 + 0.
f*(f + 1)**2/3
Let i = 85/324 + -1/81. Let t(b) be the first derivative of -3/2*b**3 - 15/8*b**4 - 11/10*b**5 - i*b**6 + 0*b - 1 - 1/2*b**2. Factor t(o).
-o*(o + 1)**3*(3*o + 2)/2
Factor -5/4*y - 1/4*y**2 + 0.
-y*(y + 5)/4
Let b(d) be the third derivative of -d**8/504 + d**6/60 - d**5/45 + d**2. Factor b(s).
-2*s**2*(s - 1)**2*(s + 2)/3
Let b(s) be the first derivative of 0*s**5 + 0*s - 2 + s**2 + 0*s**4 + 0*s**3 + 1/210*s**7 + 0*s**6. Let j(i) be the second derivative of b(i). Factor j(m).
m**4
Let j = -34151/7 + 4863. Let i = -239/21 - j. Determine g so that i*g**