*b*(b - 1)*(b + 1)**3
Suppose -4*z + 0 + 16 = 4*k, -k + 32 = 5*z. Solve z*y**2 - 2*y**3 + 9*y**2 - 4*y**2 - 6*y - 18*y + 16 = 0 for y.
2
Determine a so that 3/2*a**2 + 29/6*a + 1 = 0.
-3, -2/9
Let f(q) be the first derivative of 3*q**4/16 + q**3/3 - q**2/8 - q/2 + 3. Determine s, given that f(s) = 0.
-1, 2/3
Let y(q) be the second derivative of -1/42*q**7 + 0 - 1/12*q**4 + 1/20*q**5 + 0*q**2 + 1/30*q**6 - q + 0*q**3. Factor y(g).
-g**2*(g - 1)**2*(g + 1)
Let i be ((-12)/14)/((-1)/14). Suppose 0 = 4*a - a - i. Factor 2/7*s**5 + 0*s**3 - 2/7*s + 0 + 4/7*s**2 - 4/7*s**a.
2*s*(s - 1)**3*(s + 1)/7
Let u(t) be the second derivative of t**5/20 - t**4/36 - 3*t**2/2 + t. Let d(p) be the first derivative of u(p). Find f such that d(f) = 0.
0, 2/9
Let o(x) be the third derivative of -x**5/15 + x**4/3 + 16*x**3/3 + 3*x**2. Factor o(r).
-4*(r - 4)*(r + 2)
Let p(g) be the first derivative of g**3/3 - g - 6. Factor p(b).
(b - 1)*(b + 1)
Let c(o) = -37 + 37 - o. Let g be c(0). Factor -1/3*b**2 + g + 1/3*b.
-b*(b - 1)/3
Let u(h) = 3*h**2 + 3*h - 15. Let y(q) = q**2 + 2*q - 7. Suppose -2*i - 5 - 3 = 0. Let o(l) = i*u(l) + 9*y(l). Let o(j) = 0. Calculate j.
1
Determine n, given that -15*n**3 + 31*n**4 + 3*n**3 - 3*n**5 - 27*n**4 - 16*n**4 = 0.
-2, 0
Let n(m) = -4*m**5 - 8*m**4 + 16*m**3 - 4*m**2 + 6*m. Let j(f) = -f**5 + f**3 + f. Suppose q - 1 = -7. Let w(b) = q*j(b) + n(b). Factor w(o).
2*o**2*(o - 2)*(o - 1)**2
Let n = 79 + -235/3. Factor n*z**2 + 4/3*z + 0.
2*z*(z + 2)/3
Let q = -9 + 12. Find y, given that -y**2 + 3 + 6*y**3 - 20*y + 1 - 18*y**q + 29*y**2 = 0.
1/3, 1
Let d(y) be the third derivative of y**5/240 - y**4/48 + 3*y**2. Let d(i) = 0. Calculate i.
0, 2
Let f(h) be the second derivative of 7*h**6/30 - 13*h**5/10 + 13*h**4/12 + h**3 + 43*h. Let f(v) = 0. Calculate v.
-2/7, 0, 1, 3
Let x(k) be the first derivative of 3*k**3/7 - 6*k**2/7 + 4*k/7 + 43. Let x(c) = 0. What is c?
2/3
Let j(m) be the third derivative of m**8/1680 - m**6/60 - m**5/15 + 7*m**4/24 - 9*m**2. Let a(b) be the second derivative of j(b). Find v such that a(v) = 0.
-1, 2
Let -2*z**2 + 0 - 1/2*z**3 + 0*z = 0. What is z?
-4, 0
Let j(g) = -g**3. Let c(a) = 2*a**4 - 12*a**3 - 6*a**2 - 2*a + 4. Let b(z) = 2*c(z) - 28*j(z). Factor b(m).
4*(m - 1)**2*(m + 1)*(m + 2)
Let x(h) be the third derivative of -3*h**7/56 + 7*h**6/60 + 3*h**5/40 - h**4/4 + h**3/6 - 8*h**2. Let z(j) be the first derivative of x(j). Factor z(y).
-3*(y - 1)*(3*y - 1)*(5*y + 2)
Suppose 5*b = 15, b - 7 = -5*a + 2*b. Factor 2/3 + 1/3*h**a - h.
(h - 2)*(h - 1)/3
Let o(r) be the second derivative of r**4/18 - r**3/3 + 2*r**2/3 - r. Factor o(d).
2*(d - 2)*(d - 1)/3
Let z(v) be the third derivative of -v**8/168 + 2*v**7/105 - v**5/15 + v**4/12 - 3*v**2. Let z(b) = 0. What is b?
-1, 0, 1
Let p(i) be the second derivative of 0 - 2/9*i**4 + 0*i**3 - 1/63*i**7 + 3*i - 4/15*i**5 + 0*i**2 - 1/9*i**6. Solve p(r) = 0 for r.
-2, -1, 0
Suppose 0 = 2*t - 7*t - 40. Let p = t - -10. Factor 1/3*r**3 + 0 + 0*r + 0*r**p.
r**3/3
Let t(b) be the first derivative of -b**4/10 + 2*b**3/5 - 8*b/5 - 3. Find y such that t(y) = 0.
-1, 2
Suppose -4*j + 25 = j. Let q be (j - 2 - 1)/7. Suppose 2/7*y**2 + 0 - q*y**3 - 6/7*y**5 + 0*y - 10/7*y**4 = 0. Calculate y.
-1, 0, 1/3
Let r(o) = -o**2. Let v(c) = 15*c**2 - 3*c + 6. Let z(i) = -18*r(i) - v(i). Factor z(w).
3*(w - 1)*(w + 2)
Let z = 36 + -27. Let t be (11 - z)/(0 + 1). Solve 0 + 1/4*h**t + 1/4*h = 0 for h.
-1, 0
Let h(x) be the second derivative of -1/42*x**4 + 0 + 0*x**2 + 5*x - 1/7*x**3. Find y such that h(y) = 0.
-3, 0
Suppose -4/5*a**2 + 8/5 + 4/5*a = 0. Calculate a.
-1, 2
Let o(p) be the second derivative of 1/15*p**6 + 0 + 0*p**2 - 9/70*p**5 + 1/21*p**4 + 0*p**3 + 3*p. Determine u so that o(u) = 0.
0, 2/7, 1
Let s be -1*((-2)/(-6))/(2/(-4)). What is g in 0 - s*g**3 + 2/3*g + 0*g**2 = 0?
-1, 0, 1
Factor -34/7*f + 9/7*f**2 - 8/7.
(f - 4)*(9*f + 2)/7
Suppose -4*y = -y - 6. Suppose -y*z = 3*r + 8, -5*r + 10*r + z = -4. Factor -8/7*s - 16/7*s**2 + 6/7*s**3 + 18/7*s**4 + r.
2*s*(s - 1)*(3*s + 2)**2/7
Determine h so that 3 - 5*h**3 - 5 + 5*h + 5*h**2 - 3 + 0 = 0.
-1, 1
Let x(y) = 9*y**3 - y**2 - y + 1. Suppose 4 = 5*l - k, -l = -6*l - k + 6. Let n be x(l). Factor 6*u**2 + n*u**3 + 0 + 10/3*u**4 + 4/3*u.
2*u*(u + 1)**2*(5*u + 2)/3
Suppose -2*v = -4*v + 10. Let p be (v + -7)*(0 + -1). Factor -1/2*j**p - 2 - 2*j.
-(j + 2)**2/2
Let k = 376 + -374. Factor 1/3*i - 1/3*i**k + 2/3.
-(i - 2)*(i + 1)/3
Suppose -8*a + 3*a + 8 = i, 4 = 4*a. Suppose -i*b - 1 = -7. Determine x, given that x - 3*x - 15*x**b + 13*x**2 = 0.
-1, 0
Let o be 6/21 + (-68)/(-7). Suppose -4*n - 2 = -o. Determine f so that -7*f - f**n + 9*f - 3 + 2 = 0.
1
Determine k, given that 0 + 1/2*k**3 - k**2 + 1/2*k = 0.
0, 1
Suppose -55 = 4*u - 7. Let f be u/42 - (-44)/7. Factor -2/3*z**5 + 0 - 14/3*z**2 - f*z**3 - 10/3*z**4 - 4/3*z.
-2*z*(z + 1)**3*(z + 2)/3
Let i(b) = -b**3 - b + 1. Let z be i(-2). Let f = z + -9. Factor -4/7*g - 2/7 - 2/7*g**f.
-2*(g + 1)**2/7
Let b(h) be the second derivative of 0 - 1/12*h**4 + 0*h**2 + 0*h**3 + h. Let a(n) = -5*n**2 - 4*n - 4. Let l(v) = a(v) - 4*b(v). Factor l(x).
-(x + 2)**2
Suppose -t + 1 = -4*g, -7*g + 9 = t - 3*g. Let h(n) be the second derivative of 1/3*n**3 - 1/10*n**t - 1/15*n**6 + 0*n**2 + n + 1/6*n**4 + 0. Factor h(m).
-2*m*(m - 1)*(m + 1)**2
Let f be (4/30)/(-7 - -6). Let r = f - -4/5. Suppose -2/3*n**2 - r*n + 0 + 2/3*n**3 + 2/3*n**4 = 0. What is n?
-1, 0, 1
Factor -3*y**4 + 12*y**3 - 13*y**2 + y**2 - y**4 + 4*y + 0*y**3.
-4*y*(y - 1)**3
Determine i, given that 2*i - 2*i**2 - 28 - 4*i + 28 = 0.
-1, 0
Let y be 3 - 10 - (4 + -11). Factor 4/9*j + y + 2/9*j**2.
2*j*(j + 2)/9
Factor -120/7 - 6/7*l**2 - 96/7*l + 6/7*l**3.
6*(l - 5)*(l + 2)**2/7
Let o(t) = -t**2 - 5*t + 1. Let k be o(-5). Let w = 4 - k. Factor -1/2*h**2 + 0 + 0*h + 1/4*h**w.
h**2*(h - 2)/4
Let d(i) be the first derivative of 0*i + 2/27*i**3 + 1 - 1/9*i**2. Factor d(n).
2*n*(n - 1)/9
Let f(t) be the third derivative of -t**7/105 + t**6/30 - t**4/6 + t**3/3 - 3*t**2. Let f(u) = 0. Calculate u.
-1, 1
Let i(m) be the third derivative of 0*m**4 + 4*m**2 - 1/12*m**3 + 0*m + 0 + 1/120*m**5. What is j in i(j) = 0?
-1, 1
Solve -9/2*x**3 + 0*x + 0 - x**2 - 2*x**4 = 0.
-2, -1/4, 0
Let o = 219 - 1523/7. Factor 2/7*z**5 + 10/7*z + 20/7*z**3 - 2/7 - 20/7*z**2 - o*z**4.
2*(z - 1)**5/7
Suppose 4*v - 4 = 2*i, 2*i = 2*v + 4*i - 8. Let f = 14 - 10. Find r, given that -f*r**2 + 2*r**2 + v*r**4 - r**5 - 2*r + 3*r = 0.
-1, 0, 1
Suppose -23*v + 28*v = 0. Factor -2/7*m + v + 2/7*m**4 + 2/7*m**3 - 2/7*m**2.
2*m*(m - 1)*(m + 1)**2/7
Let m(j) be the third derivative of 0*j - 1/540*j**6 + 1/270*j**5 + 0*j**3 + 0 + 0*j**4 - 2/945*j**7 - 2*j**2. Factor m(g).
-2*g**2*(g + 1)*(2*g - 1)/9
Let i be -1 - 1/(-21)*22. Let t(c) be the second derivative of 0*c**5 + i*c**7 + 0*c**4 + 3*c + 0*c**3 + 0 + 0*c**2 + 1/15*c**6. Factor t(k).
2*k**4*(k + 1)
Let r = 2/599 - -593/1797. Factor 8/3*c - r*c**4 + 1 + 0*c**3 + 2*c**2.
-(c - 3)*(c + 1)**3/3
Let p = 2827/18 + -157. Let u(k) be the first derivative of 1/6*k**4 - 1/6*k**2 + 0*k**5 + 0*k - 1 - p*k**6 + 0*k**3. Determine m, given that u(m) = 0.
-1, 0, 1
Let h(r) be the first derivative of 0*r**3 - 3 - 1/2*r**4 + 0*r + r**2. Suppose h(d) = 0. Calculate d.
-1, 0, 1
Let s(i) be the first derivative of -2*i**3/3 - i**2 - i - 4. Let x(y) = -y**2 - y. Let d be ((-1)/(-1) - -1)*-2. Let l(h) = d*s(h) + 10*x(h). Factor l(f).
-2*(f - 1)*(f + 2)
Let s(z) be the second derivative of -z**5/20 + 5*z**4/12 - 4*z**3/3 + 2*z**2 - 15*z. Solve s(t) = 0 for t.
1, 2
Let -8/5 + 0*o**3 + 6/5*o**2 - 2/15*o**4 + 8/15*o = 0. Calculate o.
-2, 1, 3
Let k = 10 + -8. Let k*r**2 - 3 - 5*r**2 + 3 = 0. Calculate r.
0
Let s(f) be the second derivative of -1/70*f**5 + 0*f**2 - 2/21*f**4 - 4/21*f**3 + 0 + 6*f. Factor s(o).
-2*o*(o + 2)**2/7
Let n = 7510/51057 + 2/1891. Let a(y) be the third derivative of y**2 + 0 - 4/27*y**3 + 0*y - 13/270*y**5 - 1/180*y**6 - n*y**4. Solve a(s) = 0 for s.
-2, -1/3
Let t be (-6)/27 - (-3 + 50/18). Factor -m**4 + 0*m**2 + 7/5*m**5 + 0 - 2/5*m**3 + t*m.
m**3*(m - 1)*(7*m + 2)/5
Suppose 4 + 1 = x. Let y(u) = -u**3 + 4*u**2 + 5*u + 2. Let h be y(x). Suppose -2*m**3 - 3*m - 2*m**h - 2*m**2 + 2*m**4 + 3*m = 0. Calculate m.
-1, 0, 2
Find a