vative of 19*v**5/210 + 3*v**4/7 - 4*v**3/21 + 28*v**2. Solve k(u) = 0.
-2, 2/19
Let c be (4 + 28/(-4))/(-9). Factor c*j**5 + 0*j + 1/3*j**2 + j**4 + j**3 + 0.
j**2*(j + 1)**3/3
Let o be -1*(-1)/(3/12). Solve -3*j + o*j**3 - 4*j + 3*j = 0 for j.
-1, 0, 1
Suppose 0*k = k - 3. Suppose -k*z = -2*m - 2, -m = -3*m - 3*z + 10. Factor 3*h**m - 1/2*h - 9/2*h**3 + 0.
-h*(3*h - 1)**2/2
Suppose 0 = -0*g + 4*g. Let l(f) be the second derivative of 0*f**4 + 0*f**2 - 1/90*f**5 + 0*f**3 - 2*f - 1/135*f**6 + g. Factor l(a).
-2*a**3*(a + 1)/9
Let a(g) be the first derivative of 2*g**3 + g**4 - 10 - 8*g - 2/5*g**5 - 4*g**2. Factor a(h).
-2*(h - 2)**2*(h + 1)**2
Determine n so that -n**2 + 0 - 2/3*n + 1/3*n**4 + 0*n**3 = 0.
-1, 0, 2
Suppose 26*r - 14 = 24*r. Let 1/2*v - 17/2*v**2 + 1 + r*v**3 = 0. What is v?
-2/7, 1/2, 1
Let h(m) be the second derivative of -m**7/14 + m**6/5 - 11*m. Factor h(j).
-3*j**4*(j - 2)
Suppose 0 = 3*k - 17*k. Determine a so that -1/3*a**2 + k + 1/3*a = 0.
0, 1
Let p be ((-135)/(-81))/(5/2). Let v(w) be the first derivative of 2/9*w + 1/9*w**2 + 2 - p*w**3 + 11/18*w**4 - 8/45*w**5. Factor v(f).
-2*(f - 1)**3*(4*f + 1)/9
Suppose -8 = 2*c - 6*c. Let s be 2/(c + (-8)/6). Let s*z**2 - 3*z**2 + 2*z**2 = 0. What is z?
0
Let z(o) be the third derivative of 0*o**3 + 1/20*o**4 - 1/100*o**5 + 0 + 0*o + 5*o**2. Suppose z(i) = 0. Calculate i.
0, 2
Let o(f) = -f**2 + 2*f + 4. Let s(k) = k**2 + k - 1. Let i(r) = -o(r) - 4*s(r). Factor i(w).
-3*w*(w + 2)
Suppose 0 = 3*w - i - 11, 18 = -4*w - 5*i + 1. Factor -2*d - 1/2*d**2 - w.
-(d + 2)**2/2
Let d(c) be the second derivative of -c**4/3 - 16*c**3/3 - 32*c**2 - 21*c. Factor d(p).
-4*(p + 4)**2
Let l = 21/4 + -19/4. Let t(m) be the first derivative of -5 + 1/8*m**2 + l*m - 1/12*m**3. Let t(j) = 0. Calculate j.
-1, 2
Solve -17/8*h + 2*h**4 - h**3 - 39/8*h**2 - 1/4 = 0 for h.
-1, -1/4, 2
Let g(k) = -29*k**2 + 60*k - 65. Let m(j) = 5*j**2 - 10*j + 11. Let f(h) = -6*g(h) - 34*m(h). Factor f(v).
4*(v - 4)*(v - 1)
Let t(x) be the third derivative of -1/8*x**4 + 0 + 0*x + 1/8*x**5 + 0*x**3 + 2*x**2 - 3/80*x**6. What is g in t(g) = 0?
0, 2/3, 1
Factor 0*d + 6/7*d**4 + 0 + 2/7*d**5 + 6/7*d**3 + 2/7*d**2.
2*d**2*(d + 1)**3/7
Let s(d) = d**2 - 8*d + 2. Let y be s(7). Let w be (2/y)/(6/(-10)). Determine u so that 1/3*u**3 + 0 + 0*u**2 + 1/3*u**5 + w*u**4 + 0*u = 0.
-1, 0
Let v(k) be the third derivative of -1/70*k**7 + 0 + 1/336*k**8 - 1/60*k**5 + 0*k + 0*k**4 - 3*k**2 + 0*k**3 + 1/40*k**6. Factor v(g).
g**2*(g - 1)**3
Let i(x) = x**3 + 5*x**2 + 3*x - 1. Let a be (-12)/(-2)*2/(-3). Let c be i(a). Find d, given that -4*d**5 + 5*d - 9*d**3 + d**2 + 0*d**c - 4*d + 11*d**4 = 0.
-1/4, 0, 1
Factor -7*g**2 + 4*g**4 + 8 - 7*g**4 + 4 - 2*g**2 - 12*g + 12*g**3.
-3*(g - 2)**2*(g - 1)*(g + 1)
Let x = 14 + -8. Factor -2 + k**4 - 24*k**2 - k**5 - x*k**4 - k**4 - 14*k**3 - 9*k + 8*k**2.
-(k + 1)**4*(k + 2)
Factor 3/8*o + 3/4*o**2 + 0 + 3/8*o**3.
3*o*(o + 1)**2/8
Let i(r) be the first derivative of r**3 - 6. Let i(v) = 0. Calculate v.
0
Let n be 11/(-22) + 10/4. Let a(x) be the first derivative of 0*x - 1/12*x**3 + 1/8*x**n - 1. Suppose a(i) = 0. What is i?
0, 1
Let u = -172 - -174. Suppose 1/2*h**3 + 4*h + 5/2*h**2 + u = 0. What is h?
-2, -1
Let q(b) = -b**2 - b + 1. Let h(d) = -18*d**3 + 45*d**2 - 29*d - 3. Let r(t) = 2*h(t) - 10*q(t). Find x such that r(x) = 0.
-2/9, 1, 2
Let v(q) be the first derivative of 4 + 0*q**4 + 0*q + 1/12*q**3 - 2*q**2 - 1/120*q**5. Let m(w) be the second derivative of v(w). Factor m(b).
-(b - 1)*(b + 1)/2
Let u be 3/(15/(-20)) - (-5 - -1). Let -1/6*k**4 + 1/6 + 1/3*k**3 + u*k**2 - 1/3*k = 0. What is k?
-1, 1
Let o(g) be the second derivative of 3*g**5/20 + g**4/4 - g**3 + 13*g. Suppose o(m) = 0. Calculate m.
-2, 0, 1
Let q(x) be the first derivative of -x**5/5 - 8*x + 3. Let b(f) be the first derivative of q(f). Factor b(c).
-4*c**3
Let u be (-4)/(-18) - 16/(-9). Determine c so that -3*c**2 - 5 + 1 - 5*c - c + c**u = 0.
-2, -1
Let f(m) be the second derivative of -m**7/5040 + m**5/720 + 5*m**3/6 + 4*m. Let z(v) be the second derivative of f(v). Find w such that z(w) = 0.
-1, 0, 1
Let h(i) = -4*i**2 + 6*i + 9. Let t(u) = 3*u**2 - 5*u - 8. Let d(f) = -4*h(f) - 5*t(f). Let y(v) = -v**2 - 1. Let w(r) = -d(r) - 2*y(r). Factor w(g).
(g - 2)*(g + 1)
Let a be (6/(-8))/((-162)/72). Let w(t) be the first derivative of 0*t**2 - a*t**3 + t + 3. Factor w(b).
-(b - 1)*(b + 1)
Find q such that -30*q + 12*q**5 + 15*q**4 + 30*q - 6*q**2 - 21*q**3 = 0.
-2, -1/4, 0, 1
Let d(m) = m**2 + m. Let z be d(-4). Suppose 2*b = -4*o + z, 4*b + 12 = 4*o + 2*b. Find u, given that 0*u - 1/5*u**o + 1/5*u**4 - 1/5*u**2 + 1/5*u**5 + 0 = 0.
-1, 0, 1
Suppose y + y - 10 = 0. Let c be (-3 - 0) + y - -1. Factor 0*b - 6/5*b**5 - 8/5*b**4 - 2/5*b**c + 0*b**2 + 0.
-2*b**3*(b + 1)*(3*b + 1)/5
Let j(y) = -10*y**4 + 70*y**3 - 150*y**2 + 95*y. Let w(p) = -15*p**4 + 105*p**3 - 225*p**2 + 142*p. Let z(b) = 7*j(b) - 5*w(b). Factor z(o).
5*o*(o - 3)**2*(o - 1)
Let z be (-104)/(-360) - 4/18. Let a(y) be the first derivative of 1/9*y**3 + 1/6*y**2 - 1/12*y**4 - z*y**5 + 0*y - 1. Solve a(p) = 0 for p.
-1, 0, 1
Let h(r) be the second derivative of -1/36*r**4 + 0 + 0*r**3 + 1/6*r**2 + 2*r. Factor h(o).
-(o - 1)*(o + 1)/3
Factor -1/2*r + 1/2*r**2 - 1/6*r**3 + 1/6.
-(r - 1)**3/6
Suppose 2*z + 3*z + 10 = 5*n, 5*n = -2*z + 24. Determine k so that -2 + 5*k - z*k + 2*k**3 + 3*k**2 - 6*k**3 - k**2 + k**5 = 0.
-2, -1, 1
Let x(g) be the third derivative of 1/3*g**3 + 0*g + 0 + 1/270*g**5 - 7*g**2 - 1/18*g**4. Factor x(s).
2*(s - 3)**2/9
Let q = 40/27 - 22/27. Factor 0*g + 2/3*g**2 - q.
2*(g - 1)*(g + 1)/3
Let o = -33 + 33. Factor o + 1/4*i**4 + 3/4*i**2 + 3/4*i**3 + 1/4*i.
i*(i + 1)**3/4
Suppose -1/3*d**2 + 4/3*d - 4/3 = 0. What is d?
2
Factor 0 + 0*x + 0*x**2 - 3/4*x**3 - 3/4*x**4.
-3*x**3*(x + 1)/4
Suppose 4*u - 20 = -0*u. Suppose -2*s - 2*s - a = 1, -u*s + 5*a = -5. Let 0*z + s + 2/3*z**2 - 2/3*z**3 = 0. Calculate z.
0, 1
Let y(f) be the first derivative of 2*f**3/9 + f**2/3 - 9. Factor y(v).
2*v*(v + 1)/3
Suppose -7*g + 3*g = c + 6, 5*c = 5*g + 20. Let k(j) be the second derivative of 2*j + 0 - 1/27*j**3 - 1/54*j**4 + 0*j**c. Factor k(i).
-2*i*(i + 1)/9
Suppose 5*u - 9 = p, 4*p + 2*u + 2*u - 12 = 0. Let o = p - 1. Factor o + 2/5*f - 2/5*f**2.
-2*f*(f - 1)/5
Solve -4*y**2 - 3 + 2 + 5 = 0 for y.
-1, 1
Let i(a) be the second derivative of 3*a**5/50 + a**4/30 - 2*a**3/15 + 5*a. Factor i(o).
2*o*(o + 1)*(3*o - 2)/5
Let y(o) = -7*o**3 + o**2 + 3*o - 1. Let z(x) = 6*x**3 - 3*x. Let j(u) = -3*y(u) - 4*z(u). Factor j(t).
-3*(t - 1)*(t + 1)**2
Factor 18*p - 5*p**3 + 84*p**2 - 13*p**3 - 3*p**4 - 108*p**2 + 27.
-3*(p - 1)*(p + 1)*(p + 3)**2
Let v(u) be the second derivative of -1/20*u**5 + 0*u**2 + 1/30*u**6 - 1/12*u**4 - 8*u + 1/6*u**3 + 0. Factor v(w).
w*(w - 1)**2*(w + 1)
Let l(u) be the third derivative of u**2 + 0 + 0*u**4 + 0*u**6 + 0*u + 1/20*u**5 + 0*u**3 - 1/70*u**7. Solve l(o) = 0.
-1, 0, 1
Let z = -12 + 13. Let p(w) be the first derivative of -2/5*w**5 - 1/4*w**4 + 0*w**3 + 0*w**2 - 1/6*w**6 - z + 0*w. Let p(f) = 0. What is f?
-1, 0
Let d = -10/33 + 7/11. Determine l so that -1/3*l**2 + 1/3 - 1/3*l**3 + d*l = 0.
-1, 1
Suppose -9 - 7 = -4*u. Suppose 0 = u*j - 0*j - 8. Factor -24*a - 13*a**3 + 4*a**3 - 12 + 23*a**j + 10*a**2.
-3*(a - 2)**2*(3*a + 1)
Let z = -3 + 6. Suppose p - 3*p = 2*k - 18, 0 = 4*p - 16. Factor 2*c**5 + 0*c**k + 3*c**4 + 3*c**4 + c**5 + 3*c**z.
3*c**3*(c + 1)**2
Let c be ((4 - 3) + -1)/(-1). Let u be (c - 2)/(-2 - 4). Solve 2/3*m**3 + m**2 + u*m + 0 = 0.
-1, -1/2, 0
Solve -1/4*j**3 + 0*j + 0 - 1/4*j**2 = 0.
-1, 0
Let f(w) be the third derivative of 0*w + 0 - 1/120*w**6 + 1/30*w**5 + w**2 + 0*w**3 - 1/24*w**4. What is n in f(n) = 0?
0, 1
Let t be 1 + 0 - (-2)/2. Factor -2*g + 0*g + 9*g**2 - 2*g - t*g - 3*g**3.
-3*g*(g - 2)*(g - 1)
Let g(m) be the first derivative of m**6/120 - m**4/8 + 4*m**3/3 + 4. Let v(d) be the third derivative of g(d). Factor v(a).
3*(a - 1)*(a + 1)
Let b be 1*(-1 - -3) - 2. Suppose 2/5*v**4 - 2/5*v**2 + b - 2/5*v**3 + 2/5*v = 0. What is v?
-1, 0, 1
Let w(r) = -29*r**4 + 5*r**5 + 3*r**2 + 21*r + 0*r**5 + 0*r. Let k(h) = -h**5 + 7*h**4 - h**2 - 5*h. Let g(b) = -26*k(b) - 6*w(b). Solve g(o) = 0 for o.
-1, 0, 1
Let v be (-12