 + 2)*(4*b + 1)/5
Let i(h) be the first derivative of -27*h**6/8 - 81*h**5/20 + 135*h**4/16 - 17*h**3/4 + 3*h**2/4 + 2. Suppose i(l) = 0. What is l?
-2, 0, 1/3
Let n = 3/587 - -5262/4109. Factor -1/7*i**2 - n + 6/7*i.
-(i - 3)**2/7
Suppose 4*s = 3*j + 8, 4*s + j = 8*s. Let p be s/(((-4)/(-2))/(-1)). Factor p - 5/4*t - 3/4*t**2.
-(t + 2)*(3*t - 1)/4
Let n(q) be the third derivative of -q**6/240 + q**5/32 - 3*q**4/32 - q**3/3 - 3*q**2. Let z(d) be the first derivative of n(d). Solve z(h) = 0.
1, 3/2
Let -3*c**3 - 3*c**4 - 2*c - 1 + 2*c**3 - 4*c**4 + 4*c**5 + 8*c**2 - c**3 = 0. Calculate c.
-1, -1/4, 1
Let w(i) be the first derivative of -i**7/840 + i**6/360 + i**5/120 - i**4/24 - i**3/3 - 1. Let j(d) be the third derivative of w(d). Factor j(h).
-(h - 1)**2*(h + 1)
Find w, given that 4/7*w**3 + 2/7*w**4 - 2/7*w**2 - 4/7*w + 0 = 0.
-2, -1, 0, 1
Let u(k) be the second derivative of -k**6/10 - 3*k**5/20 + 5*k**4/4 - 3*k**3/2 + 12*k. Factor u(p).
-3*p*(p - 1)**2*(p + 3)
Let g be 2/3 - 4/(-3). Let q(s) = -s**3 + s**2 - 2*s. Let j(m) = -2*m**3 + m**2 - 3*m. Let y(n) = g*j(n) - 3*q(n). Factor y(v).
-v**2*(v + 1)
Factor -4*j + 4 - 36*j**2 + 32*j**2 - 4.
-4*j*(j + 1)
Let l = -28 + 32. Let w(b) be the second derivative of -4/9*b**3 - 8/9*b**2 - 1/9*b**l + 0 + b - 1/90*b**5. Let w(d) = 0. Calculate d.
-2
Factor 0*z**2 + 0*z + 3/4*z**4 + 0 - 9/4*z**3.
3*z**3*(z - 3)/4
Suppose -37 = -3*c - 5*z, 5*z - 13 = -0*c + 3*c. Let r = 111/4 + -53/2. Find x such that -r*x + 5/4*x**3 - 1/4 + x**c - 3/4*x**2 = 0.
-1, -1/4, 1
Let h(r) = 6*r**4 + 15*r**3 + 36*r**2 - 15*r + 21. Let g(y) = y**4 + 3*y**3 + 7*y**2 - 3*y + 4. Let o(n) = 21*g(n) - 4*h(n). What is p in o(p) = 0?
-1, 0, 1
Let n be 2*((-4)/2)/4. Let i be (0 - n)/(15/5). Suppose -x**3 + x**2 - 1/3*x + i*x**4 + 0 = 0. What is x?
0, 1
Let x(d) = d - 5. Let i be x(7). Find l, given that -i*l**2 - 45*l**3 - 3*l**4 - l**2 + 51*l**3 = 0.
0, 1
Let y(p) = 13*p**2 - 5*p - 7. Let v(j) = -6*j**2 + 3*j + 3. Let n be (-1)/2*(-2)/(-1). Let w be (0 - -1) + (-2)/n. Let c(f) = w*y(f) + 7*v(f). Factor c(a).
-3*a*(a - 2)
Factor 33*v + 13 + 15*v - 4*v**2 + 0*v**2 - 157.
-4*(v - 6)**2
Determine q, given that 2/3 + 2/3*q**2 - 4/3*q**3 - 1/3*q**5 - 4/3*q**4 + 5/3*q = 0.
-2, -1, 1
Suppose 5*k - 64 = -d, -19 = -5*d + 1. Let r = 12 - k. Factor 2/5*w**3 + r - 2/5*w**2 + 0*w.
2*w**2*(w - 1)/5
Let c = 87 - 58. Let r = 31 - c. Factor 1/5*h**r + 4/5*h + 4/5.
(h + 2)**2/5
Let m be (-2)/(-5) + (-7)/5. Let c be -2 + (21/15 - m). Find p such that -p + c + 4/5*p**2 - 1/5*p**3 = 0.
1, 2
Let h be (3/6)/(5/4). Let g(o) = 9*o - 18. Let i be g(2). Let i - 4/5*f**2 + 2/5*f**3 + h*f = 0. What is f?
0, 1
Let k(g) be the first derivative of 1/3*g**2 - 2/9*g**3 + 2/3*g - 1 - 1/6*g**4. Suppose k(i) = 0. Calculate i.
-1, 1
Let n(h) be the first derivative of -h**5/300 - h**4/60 - h**3/30 - h**2/2 - 1. Let l(m) be the second derivative of n(m). Let l(f) = 0. What is f?
-1
Let n(g) = -g**2 - 5 - 6*g**2 + 2*g + 2*g + 0*g**2. Let z(v) = -10*v**2 + 6*v - 8. Let w(t) = -8*n(t) + 5*z(t). Factor w(o).
2*o*(3*o - 1)
Find s, given that 86/3*s**2 + 8/3 - 16*s - 20*s**3 + 14/3*s**4 = 0.
2/7, 1, 2
Let s(j) be the third derivative of j**8/224 - j**7/30 + j**6/12 - j**5/15 - 8*j**2. Determine c, given that s(c) = 0.
0, 2/3, 2
Let f be ((-2)/(-6)*-2)/(48/(-90)). What is s in -f*s**2 + 0 - 1/4*s = 0?
-1/5, 0
Let i = 223/84 + -18/7. Let v(o) be the first derivative of o + i*o**3 + 1/2*o**2 - 3. Factor v(y).
(y + 2)**2/4
Let h be 85/45 + (0 - 1). Factor 2/9*b**2 - 8/9*b + h.
2*(b - 2)**2/9
Let d(m) = 6*m. Let a(j) = j**2 - 11*j. Let w(p) = -3*a(p) - 5*d(p). Factor w(c).
-3*c*(c - 1)
Let w(v) = 15*v**2 + 24*v - 1. Let b be (88/(-12))/(4/(-6)). Let g(r) = -5*r**2 - 8*r. Let f(l) = b*g(l) + 4*w(l). Find o such that f(o) = 0.
-2, 2/5
Let f(z) be the first derivative of -5 - 1/8*z**4 - 1/2*z - 1/2*z**3 - 3/4*z**2. Factor f(j).
-(j + 1)**3/2
Find g, given that 1/5*g**2 + 1/5 + 2/5*g = 0.
-1
Let m(h) = h**2 - 12*h - 3. Let l(n) = -n**2 + 6*n + 1. Let p(k) = 10*l(k) + 6*m(k). Factor p(g).
-4*(g + 1)*(g + 2)
Let s(h) be the third derivative of 0*h**3 + 1/30*h**5 - 3*h**2 + 0 + 0*h - 1/6*h**4. Suppose s(x) = 0. Calculate x.
0, 2
Let f(c) = -c**2 + c - 1. Let n(o) = -5*o**3 + 32*o**2 - 47*o + 22. Let u(s) = 2*f(s) + n(s). Factor u(t).
-5*(t - 4)*(t - 1)**2
Let x(p) be the third derivative of 1/45*p**5 + 0*p**3 + 0 + 1/180*p**6 + 1/36*p**4 + 3*p**2 + 0*p. Let x(g) = 0. What is g?
-1, 0
Find p, given that 16/7 - 12/7*p + 2/7*p**2 = 0.
2, 4
Factor 8*u**2 + 4*u - 4*u**3 - 8 + 0*u**3 + 0*u.
-4*(u - 2)*(u - 1)*(u + 1)
Suppose 5*d - 10 = -3*h, 2*h + d = -0*d + 16. Let u(i) = -2*i + 22. Let x be u(h). Factor -3/2*n**4 + 0*n + 0 - 3*n**3 - 3/2*n**x.
-3*n**2*(n + 1)**2/2
Suppose -3*u = -2*j + 4*j - 19, -3*u - 6 = -3*j. Factor v**j - v - v - 8*v**4 - 2*v**2 + 7*v**4 + 7*v**2 - 3*v**3.
v*(v - 1)**3*(v + 2)
Let f(h) = 9*h**3 - 4*h**2 + 3*h - 8. Let n(k) = 1 + 2*k**2 + k + 3*k**3 - 2 - 3*k**2 - 2. Let o(g) = 4*f(g) - 11*n(g). Find p such that o(p) = 0.
-1/3, 1
Solve 4*b**2 + 1 - 44*b**3 + 8*b - 48*b**4 - 3 + 10*b**2 = 0 for b.
-1, -1/2, 1/4, 1/3
Let m = -891 + 13373/15. Factor 2/15*t**2 - m*t + 2/5.
2*(t - 3)*(t - 1)/15
Solve 0*b + 0 + 1/3*b**2 = 0 for b.
0
Factor 2 - 3*l + 19*l**2 - 11*l**2 + 0*l - 7*l**2.
(l - 2)*(l - 1)
Suppose -4*c + 2*j + 10 = 0, c - 2*c + 5 = -3*j. Find v, given that -3 + c*v**3 + 2*v + 0*v**2 + 8*v**3 - 1 + 16*v**2 = 0.
-1, 2/5
Let s = -7 - -6. Let k = s + 3. Solve 2/7*p**4 + 0*p + 0 + 4/7*p**3 + 2/7*p**k = 0 for p.
-1, 0
Let g(h) = h**2 + 6*h - 5. Let r be g(-7). Let q be (3/6*4)/1. Solve 4*l**q - 4*l**3 - 5*l**r + 1 + 3*l + l = 0 for l.
-1, -1/4, 1
Suppose 0 = -3*x + 7 + 11. Let z(b) = 5*b**3 + 23*b**2 - 11*b. Let u(g) = 3*g**3 + 12*g**2 - 6*g. Let d(j) = x*z(j) - 11*u(j). Factor d(k).
-3*k**2*(k - 2)
Factor -2/17*k**3 + 0 - 4/17*k**2 - 2/17*k.
-2*k*(k + 1)**2/17
Suppose -3*m + 37 = 2*m - 2*o, -2*m - 5*o = -9. Suppose -3*s = 5*y - m*s - 34, 0 = -5*y + 2*s + 42. Factor r**5 - r**4 + 0*r**4 - y*r**5 + 7*r**4.
-3*r**4*(3*r - 2)
Let n(w) be the third derivative of -w**7/840 - w**6/240 + w**5/240 + w**4/48 + 54*w**2. Suppose n(i) = 0. Calculate i.
-2, -1, 0, 1
Let u(m) be the first derivative of m**6/3 + 2*m**5 + 9*m**4/2 + 14*m**3/3 + 2*m**2 + 2. Factor u(h).
2*h*(h + 1)**3*(h + 2)
Determine q so that 1/4*q**4 - 1/2*q**3 + 0*q**2 - 1/4 + 1/2*q = 0.
-1, 1
Let q(r) = r - 8. Let i be q(8). Let v(x) = x**2 - x + 4. Let h be v(i). Factor 0 + 22*f - 2 - 15*f + h*f**2.
(f + 2)*(4*f - 1)
Let n(i) = i - 14. Let v be n(10). Let u be 2 + v - (-1 + -4). Factor 2*x**3 - x**4 + 2*x**3 - 4*x**3 - x**u + x**2 + x**5.
x**2*(x - 1)**2*(x + 1)
Let r be ((-1)/8)/((-76)/1824). Factor 2/7 - 2/7*l**2 + 2/7*l - 2/7*l**r.
-2*(l - 1)*(l + 1)**2/7
Let c be -6 - (-17 - (-7)/1). Determine p, given that -7/3*p**3 + 7/3*p**5 + 0 + 2/3*p**2 - 2/3*p**c + 0*p = 0.
-1, 0, 2/7, 1
Let y(d) be the third derivative of -5*d**8/336 - d**7/21 + d**5/6 + 5*d**4/24 - 12*d**2. Factor y(g).
-5*g*(g - 1)*(g + 1)**3
Let h = 7 + -4. Let f(d) be the first derivative of -d**2 - 2 + d + 1/3*d**h. Factor f(m).
(m - 1)**2
Let u(x) be the third derivative of x**2 - 1/60*x**5 + 1/24*x**4 + 0 + 0*x**3 + 0*x. Let u(g) = 0. Calculate g.
0, 1
Suppose -4*a = 59 - 11. Let p(r) = 10*r**3 + 12*r**2 - 42*r - 8. Let u(h) = 4*h**3 + 5*h**2 - 17*h - 3. Let w(v) = a*u(v) + 5*p(v). Factor w(k).
2*(k - 2)*(k + 1)**2
Suppose -5*w + m + 5 = 0, -w = -4*m - 7 + 25. Solve -2*r + 2/3*r**5 - 2/3 + 4/3*r**3 - 4/3*r**w + 2*r**4 = 0.
-1, 1
Factor -7*p**3 - 4*p**2 + 9*p**4 + 15*p**2 + 2*p + 25*p**3.
p*(p + 1)*(3*p + 1)*(3*p + 2)
Let o(x) = -x - 1. Let r(m) = m**4 + m**3 - 2*m**2 - 4*m - 4. Let g(s) = -4*o(s) + r(s). Factor g(y).
y**2*(y - 1)*(y + 2)
Let c(n) be the second derivative of -3*n + 1/42*n**3 + 0 + 0*n**2 + 1/140*n**5 - 1/42*n**4. What is r in c(r) = 0?
0, 1
Let x(m) = -3*m**3 + 11*m**2 + 11*m + 5. Let b(z) = -8*z**3 + 32*z**2 + 33*z + 15. Let u(c) = 4*b(c) - 11*x(c). Factor u(n).
(n + 1)**2*(n + 5)
Factor -3/5*t - 18/5*t**3 + 12/5*t**4 + 12/5*t**2 - 3/5*t**5 + 0.
-3*t*(t - 1)**4/5
Suppose -2*m + 3*h + 29 = 2*m, -4*h = -3*m + 27. Suppose 1 = 3*z - m*s, 5*z = 5*s - 4*s + 9. Find b, given that -2/3*b**z + 0 + 2/3*b = 0.
0, 1
What is d in -2/9*d**2 + 0 