2 + 11/3*m - 5/3*m**4 + u*m**3.
-(m - 1)**3*(5*m - 2)/3
Let f be (9/(-6))/(7 - (-108)/(-15)). Factor -1/2*i - 9/2*i**4 - f*i**3 + 0 - 7/2*i**2.
-i*(i + 1)*(3*i + 1)**2/2
Let j = -226927/5 + 8487184/187. Let f = -2/187 + j. Let -1/5 - 3/5*p - 1/5*p**3 - f*p**2 = 0. What is p?
-1
Let a(o) = o**4 + o**3 - o**2 - 1. Suppose -3*g = -4*g - 5. Let y(t) = -2*t**4 - 11*t**3 - 16*t**2 - 2*t - 5. Let v(h) = g*a(h) + y(h). Factor v(m).
-m*(m + 1)**2*(7*m + 2)
What is g in -7*g**2 + 3*g**2 - 5*g**3 - g - g + 3*g**3 = 0?
-1, 0
Let p(z) = -z + 3. Let h be p(1). Factor -2*a**3 - 62*a + 62*a - h*a**4 + 4*a**2.
-2*a**2*(a - 1)*(a + 2)
Let b be 2 - 3/(-6)*2. Let w = -1 + 1. Let w*q**3 + 4*q**2 - 2*q**2 + 0*q**2 + 2*q**b = 0. Calculate q.
-1, 0
Let z(x) = -x**3 - x**2 + x - 1. Let y(p) = -p**4 - 4*p**3 - p**2 + 4*p - 2. Let h(g) = g**3 + g**2 - 1. Let m be h(0). Let r(n) = m*y(n) + 2*z(n). Factor r(a).
a*(a - 1)*(a + 1)*(a + 2)
Let l(i) be the first derivative of -2*i**5/45 - i**4/18 - 15. Factor l(k).
-2*k**3*(k + 1)/9
Suppose -4*h - 3*b = -28, -2*h + 12 = -h + 2*b. Factor -4*w**4 + 7*w**4 - 4 + 0*w**h + 1 - 6*w + 6*w**3.
3*(w - 1)*(w + 1)**3
Let c(k) be the first derivative of -k**5/30 - k**4/4 - 2*k**3/3 + k**2/2 - 3. Let z(x) be the second derivative of c(x). Let z(f) = 0. Calculate f.
-2, -1
Let c(b) be the first derivative of -3 - 1/6*b**3 + 1/4*b**2 + 0*b. Factor c(z).
-z*(z - 1)/2
Suppose -2*o + 5*f - 12 = 0, -3*o + 20 = -2*o + 4*f. Determine i, given that -i**2 + i**o + i**3 + i**4 - i**4 - i = 0.
-1, 0, 1
Let t(h) be the second derivative of -h**4/72 - h**3/3 - 3*h**2 + 14*h. Factor t(k).
-(k + 6)**2/6
Let v(y) = -y**3 - y**2 + 1. Let x(q) = 3*q**3 + 9*q**2 - 8*q. Let n(i) = -12*v(i) - 3*x(i). Factor n(c).
3*(c - 2)**2*(c - 1)
Factor 1/4*q**4 - 3/4*q**3 - 1/2*q + 0 + 1/4*q**5 - 5/4*q**2.
q*(q - 2)*(q + 1)**3/4
Let z(n) be the first derivative of 7*n**5/15 + 23*n**4/12 + 2*n**3/3 + 6. Factor z(j).
j**2*(j + 3)*(7*j + 2)/3
Let c(w) = w**2 + 14*w + 36. Let x(o) = o. Let v(j) = c(j) - 2*x(j). Determine f, given that v(f) = 0.
-6
Let q(p) = -p**3 + p**2 + 0 + 4 - 4 + p. Let u(x) = -3*x**4 - 12*x**3 + 11*x**2 + 11*x. Let v(g) = -44*q(g) + 4*u(g). Factor v(j).
-4*j**3*(3*j + 1)
Let r(o) = -o**4 + 6*o**3 + 2*o**2 - 4*o + 1. Let k be 5 - (-7)/(21/(-6)). Let d(p) = -6*p**3 - 3*p**2 + 3*p. Let b(j) = k*r(j) + 2*d(j). Factor b(z).
-3*(z - 1)**3*(z + 1)
Let f = -9 + 11. Suppose c = -f*c. Factor -1/2*o**4 + c + 0*o - 1/4*o**5 + 0*o**2 - 1/4*o**3.
-o**3*(o + 1)**2/4
Let v(o) be the second derivative of 1/12*o**4 + 5*o + 0 + 0*o**2 + 1/10*o**5 + 1/30*o**6 + 0*o**3. Factor v(h).
h**2*(h + 1)**2
Let h be (-1)/2 - (-10)/4. Let i(g) = -g**3 - 9*g**2 - 7*g + 11. Let l be i(-8). Factor -2*m**2 - 5*m**l + m**2 + 4*m**3 - m**h - m.
-m*(m + 1)**2
Let -a - 4*a + 4 + 3*a - 10*a**2 - 4*a = 0. Calculate a.
-1, 2/5
Let b be (6/(-4))/((-81)/12). Let k be -1*1/(-1) - -1. Factor b*c**k - 2/9 + 0*c.
2*(c - 1)*(c + 1)/9
Let y be (-196)/12 + 15/5. Let s = y + 14. Let -2/3*k**4 + 0 + 2/3*k**2 - s*k + 2/3*k**3 = 0. Calculate k.
-1, 0, 1
Let z be (-8)/36 - 150/(-27). Solve -7/3*i**2 + z*i - 4/3 = 0 for i.
2/7, 2
Let l(h) be the second derivative of 4*h**6/15 + 3*h**5/10 - h**4/6 + 6*h. Suppose l(y) = 0. Calculate y.
-1, 0, 1/4
Let t = 376 - 8277/22. Let m = t - -9/22. Factor 0 + 4/11*d**3 - m*d**2 - 2/11*d.
2*d*(d - 1)*(2*d + 1)/11
Let j(t) be the first derivative of -2*t**5/55 + t**4/11 - 2*t**3/33 + 7. Factor j(z).
-2*z**2*(z - 1)**2/11
Let g = 36 - 31. Let m(t) be the second derivative of 2/27*t**3 + 0 + 0*t**2 - t - 1/18*t**4 + 1/90*t**g. Factor m(j).
2*j*(j - 2)*(j - 1)/9
Let a be -10 + 1335/70 + 1/(-2). Suppose -2*u - 8 = -2*x, -2*x + 5*x - 5*u - 16 = 0. Suppose 18/7*d**4 + 8/7 + 74/7*d**x + a*d**3 + 40/7*d = 0. What is d?
-1, -2/3
Let w = -13 - -17. Let z(c) = 3*c**4 - c**3 - c**2 + 5*c + 2. Let s(x) = 7*x**4 - 2*x**3 - 3*x**2 + 10*x + 4. Let p(l) = w*s(l) - 9*z(l). Solve p(m) = 0.
-1, 2
Let w(n) = -7*n**2 + 9*n - 7. Suppose -3*k + 2 = 4*i, 4*i + 13 - 3 = -k. Let f(d) = 10*d - 8*d**2 + 4 + 0*d - 12. Let s(q) = k*w(q) - 5*f(q). Factor s(b).
-2*(b - 1)**2
Suppose 3*d + 0*d + 52 = 4*c, 0 = -4*d + c - 78. Let m be 0 + (45/d)/(-9). Suppose 0*x**2 + 3/4*x - 1/2 - m*x**3 = 0. What is x?
-2, 1
Let k be (-40)/13 - (-4 + 1). Let b = 15/26 + k. Let -b*j**4 + 2*j**3 - 3*j**2 + 2*j - 1/2 = 0. Calculate j.
1
Let r(u) = -u**2 + u + 18. Let m be r(0). Let j = 92/5 - m. Find s, given that -6/5*s**2 + 6/5*s + j*s**3 - 2/5 = 0.
1
Let h(n) = -6*n**2 + 2*n + 4. Suppose -6*g = -g - 20. Let x(z) = 5*z**2 - 2*z - 3. Let c(r) = g*h(r) + 5*x(r). Solve c(b) = 0.
1
Let x(n) be the second derivative of n**6/6 + 3*n**5/2 + 5*n**4 + 25*n**3/3 + 15*n**2/2 - 9*n. Factor x(l).
5*(l + 1)**3*(l + 3)
Let k(d) be the first derivative of 0*d - 2/3*d**3 + d**2 - 4. Factor k(i).
-2*i*(i - 1)
Let u(m) be the first derivative of -m**4/6 + 2*m**3/27 + m**2/3 - 2*m/9 - 4. Factor u(w).
-2*(w - 1)*(w + 1)*(3*w - 1)/9
Let o be (-2 + -3)*(-12)/10. Let m(y) = y**2 + 2*y + 2. Let l be m(-2). Factor -5*c**4 + o*c**4 - 3*c**3 + 2*c**3 - l*c**2.
c**2*(c - 2)*(c + 1)
Let a = 5 - -4. Suppose -2*w**5 + 12*w**4 - w**4 - a*w**4 = 0. Calculate w.
0, 1
Find q, given that -5*q - 6*q**2 + 8*q - 6 + 12*q**4 + 12*q - 3*q**5 - 12*q**3 = 0.
-1, 1, 2
Let f(a) be the second derivative of a**7/84 + a**6/80 - a**5/60 + 3*a**2/2 + 2*a. Let i(l) be the first derivative of f(l). What is q in i(q) = 0?
-1, 0, 2/5
Let v(g) = g**2 - 2*g - 1. Let h(f) = f + 1. Let x(l) = -h(l) - v(l). Factor x(b).
-b*(b - 1)
Let g(y) be the second derivative of -y**7/126 + y**6/90 + y. Factor g(n).
-n**4*(n - 1)/3
Let z be -4 + (-3 - 663/(-90)). Let m(a) be the second derivative of a + 3/14*a**7 + 0 - z*a**6 + 1/10*a**5 + 0*a**4 + 0*a**3 + 0*a**2. Factor m(k).
k**3*(k - 1)*(9*k - 2)
Let j(z) be the first derivative of -z**6/5 + 2*z**5/25 + 4*z**4/5 + 8*z**3/15 - 5. Solve j(h) = 0 for h.
-1, -2/3, 0, 2
Let i be 351/945 + 2/10. Factor i*v + 2/7 + 2/7*v**2.
2*(v + 1)**2/7
Let s be -2 + 2 + (-2 - -1). Let o = 1 - s. Factor -2*z**3 + z - z + 3*z**2 + 3*z**o - 8.
-2*(z - 2)**2*(z + 1)
Let c(w) = w**3 + 5*w**2 - 5*w + 8. Let a be c(-6). Solve 10*y**5 + 0*y**3 + 15*y**4 + a*y**5 + 2*y**3 + y**3 = 0 for y.
-1, -1/4, 0
Let a = -77 + 77. Let u(r) be the first derivative of 1 + a*r - 1/5*r**5 - 1/6*r**6 + 0*r**4 + 0*r**2 + 0*r**3. Determine x so that u(x) = 0.
-1, 0
Let z be (3 - (-31)/(-10)) + 1608/1680. Determine x, given that -z*x**2 + 4/7*x**3 + 2/7*x**4 - 16/7*x - 8/7 = 0.
-2, -1, 2
Let t(i) be the third derivative of -i**7/210 - i**6/60 + i**4/12 + i**3/6 + 11*i**2. Factor t(d).
-(d - 1)*(d + 1)**3
Let g be 66/8 - (-1)/(-4). Factor 9*a**4 - 21*a**4 - g*a - 28*a**3 - 32*a**2 - 2*a**5 - 4 - 2*a - 8*a.
-2*(a + 1)**4*(a + 2)
Let u(l) be the third derivative of l**5/300 - l**4/60 + l**3/30 - 4*l**2. Factor u(y).
(y - 1)**2/5
Let z(g) be the second derivative of g**5/5 - 4*g**4 + 32*g**3 - 128*g**2 - 3*g. Factor z(b).
4*(b - 4)**3
Let f(q) be the second derivative of q**6/165 + 2*q**5/55 + 2*q**4/33 + 2*q - 1. Factor f(p).
2*p**2*(p + 2)**2/11
Suppose 0 = -2*t + p, 2*t = -0*t - 3*p. Suppose 4*x - 6*x = t. Factor -1/2*n**2 - 1/2*n + x.
-n*(n + 1)/2
Let r(p) be the second derivative of p**6/105 + p**5/70 - p**4/14 - p**3/21 + 2*p**2/7 + 9*p. Factor r(s).
2*(s - 1)**2*(s + 1)*(s + 2)/7
Let s(k) be the third derivative of 0*k + 2*k**2 - 1/9*k**3 - 1/360*k**6 + 0*k**5 + 0 + 1/24*k**4. Factor s(w).
-(w - 1)**2*(w + 2)/3
Let x(d) be the second derivative of d**4/36 - d**3/9 + d**2/6 - 22*d - 2. Determine h so that x(h) = 0.
1
Let j(y) = -y**3 - 6*y**2 - 4*y - 5. Let v be j(-4). Let k be (-49)/v + 1/(-3). Let x**5 - x**k + 4*x**2 - x**3 - 4*x**2 + 2*x**4 - x**4 = 0. Calculate x.
-1, 0, 1
Factor 4*j**3 + 6*j**3 + 5*j**3 - 5*j**4 - 3*j**2 - 7*j**4.
-3*j**2*(j - 1)*(4*j - 1)
Suppose 4*x + 2*f + 2*f = 16, -5*x + 14 = -f. What is g in -1/4*g + 1/4*g**x + 1/4*g**4 + 0 - 1/4*g**2 = 0?
-1, 0, 1
Let i(c) be the second derivative of -11*c**4/12 + 10*c**3/3 + 6*c**2 + 3*c. Let k(o) = o**2 - o. Let q(l) = -i(l) + 4*k(l). Suppose q(p) = 0. What is p?
-2/5, 2
Let j(z) be the third derivative of -7/18*z**5 + 0*z + 4/9*z**3 + 1/9*z**4 + 2*z**2 + 0. Determine s so that j(s) = 0.
-2/7, 2/5
Factor 8 - 2*t**2 - 