 + 1. Let d be b(1). Suppose 3*a + w - 13 = -a, 4*w = 2*a - d. Factor a*u + 2*u**2 - 3*u**4 + 0*u**5 - 2*u**3 + 2 - 1 - u**5.
-(u - 1)*(u + 1)**4
Suppose 8 = 4*q - 24. Solve 4*b**2 + q*b - b + 3 - b**2 - b = 0 for b.
-1
Let g be ((-14)/735*-7)/1. Factor 0 + 2/5*c + g*c**2.
2*c*(c + 3)/15
Let f(n) be the first derivative of -n**6/45 + 2*n**4/15 + 4*n**3/45 - n**2/5 - 4*n/15 + 54. Find m such that f(m) = 0.
-1, 1, 2
Let n(i) be the first derivative of i**4/4 + 2*i**3/3 + i**2/2 - 29. Let n(z) = 0. What is z?
-1, 0
Let k(h) = h**3 - 7*h**2 + 6*h + 3. Let p be k(6). Let v be 3/(-6) + p/2. Factor -5*l - v - 1 + l - 2*l**2.
-2*(l + 1)**2
Let o(r) be the first derivative of r**6/135 - r**5/45 + 2*r**3/27 - r**2/9 + 4*r + 3. Let t(b) be the first derivative of o(b). Solve t(g) = 0 for g.
-1, 1
Let z be 60/14 - 6/21. Let -u**2 + 4 + u - z = 0. What is u?
0, 1
Let s(b) = b**3 + 13*b**2 + 2. Let k be s(-13). Let n(u) be the first derivative of 49/6*u**6 - k + u**4 - 28/5*u**5 + 0*u**2 + 0*u**3 + 0*u. Factor n(h).
h**3*(7*h - 2)**2
Suppose 0 = -3*l + 5*j - 2, 4*j = -j - 10. Let f be ((-4)/8)/(2/l). Factor -f - 1/4*h**2 - h.
-(h + 2)**2/4
Suppose -32*l + 28*l + 12 = 0. Let j be 16/l - 0 - 4. Factor 29/3*y**2 - 20/3*y + y**4 - 16/3*y**3 + j.
(y - 2)**2*(y - 1)*(3*y - 1)/3
Let u(i) = -3*i**2 + 28*i - 9. Let a be u(9). Let v(g) be the second derivative of g + 1/6*g**3 + 1/4*g**2 - 1/60*g**6 - 1/20*g**5 + a*g**4 + 0. Factor v(c).
-(c - 1)*(c + 1)**3/2
Let p(v) be the third derivative of -v**6/1080 - v**5/180 - v**4/72 - v**3/54 + 16*v**2. Solve p(x) = 0 for x.
-1
Let x(i) be the first derivative of 2*i**3/33 + 3*i**2/11 - 3. Factor x(b).
2*b*(b + 3)/11
Let q(j) be the second derivative of -4*j**5/5 - 5*j**4/3 + 4*j**3 + 29*j. Factor q(v).
-4*v*(v + 2)*(4*v - 3)
Let t(q) = -5*q**5 - 6*q**4 - q**3 - 6*q. Let j(c) = 14*c**5 + 17*c**4 + 3*c**3 + 17*c. Let i(r) = -6*j(r) - 17*t(r). Factor i(d).
d**3*(d - 1)*(d + 1)
Factor 0*a**2 + 3/5*a**3 + 0 - 3/5*a.
3*a*(a - 1)*(a + 1)/5
Let n(v) be the second derivative of v**6/360 - v**5/60 + v**4/24 + v**3/2 + 3*v. Let u(l) be the second derivative of n(l). Factor u(b).
(b - 1)**2
Find a, given that -1/7*a**3 - 8/7*a**2 + 0 + 9/7*a = 0.
-9, 0, 1
Factor 1/2 + 1/4*o**3 + 1/4*o**4 - 3/4*o**2 - 1/4*o.
(o - 1)**2*(o + 1)*(o + 2)/4
Suppose 3*x - s = -x + 38, 0 = 4*x - 5*s - 30. Factor -4*m**2 + m**3 - 3*m**2 + x*m**2 - 4.
(m - 1)*(m + 2)**2
Let r = 37 - 109/3. Factor r - d + 1/3*d**2.
(d - 2)*(d - 1)/3
Let k(x) = -x**3 + x + 5. Let c be k(0). Suppose 4 = c*y - 6. Factor -2*q + q**4 + q**y + q - 3*q**3 + 2*q**2.
q*(q - 1)**3
Factor 7 + 1/2*t**2 - 9/2*t.
(t - 7)*(t - 2)/2
Factor 1/5*p**4 - 4/5*p**2 + 2/5*p + 3/5 - 2/5*p**3.
(p - 3)*(p - 1)*(p + 1)**2/5
What is g in -8/15*g**5 + 0 + 0*g**2 + 0*g**3 - 2/15*g**4 + 0*g = 0?
-1/4, 0
Let j(k) be the second derivative of 0 - 1/12*k**4 + 2*k - k**2 - 1/2*k**3. Determine w so that j(w) = 0.
-2, -1
Let g(p) be the first derivative of -p**4/4 + p**3 + p**2 - 4*p + 2. Let u be g(3). Solve 1 + 4*n**2 - 3*n**u - 2 = 0.
-1, 1
Let w = -20/33 + 36/11. Let 31/6*j - w*j**3 - 2/3 - 28/3*j**2 = 0. Calculate j.
-4, 1/4
Let u(y) be the third derivative of y**6/80 - y**5/120 - y**4/16 + y**3/12 + 12*y**2. Factor u(l).
(l - 1)*(l + 1)*(3*l - 1)/2
Let n(y) be the second derivative of -y**5/20 + 2*y**4/3 + 4*y**3/3 + 13*y**2/2 - y. Let l be n(9). Factor -5*v**4 + v**2 + l*v**4 + 0*v**4.
-v**2*(v - 1)*(v + 1)
Let q(s) be the second derivative of -s**4/48 - s**3/24 + s. Factor q(z).
-z*(z + 1)/4
Let v(s) be the first derivative of -s**3/21 + 6*s**2/7 - 36*s/7 + 23. Factor v(d).
-(d - 6)**2/7
Suppose 12 = 5*j + 2. Solve 4*t - t**2 + 2*t + 4*t**j = 0 for t.
-2, 0
Factor 0*n**2 + 0*n + 3/4*n**4 + 0 + 3/4*n**3.
3*n**3*(n + 1)/4
Suppose 3*q - 12 = -0*q. Find r, given that -3/5*r**q - 1/5*r**3 - 2/5 + 1/5*r + r**2 = 0.
-1, 2/3, 1
Suppose 14 = 5*b + z, 4*b + z - 6 = 6. Let u = 5/4 + -11/12. Factor 0*d + 1/3*d**5 + 0 - 1/3*d**3 + 1/3*d**b - u*d**4.
d**2*(d - 1)**2*(d + 1)/3
Let q(x) = -3*x**2 - 2*x. Let w(o) = 6*o**2 + 3*o. Let m(c) = -9*q(c) - 4*w(c). Factor m(g).
3*g*(g + 2)
Let j(z) be the third derivative of -z**5/120 + 5*z**4/48 - z**3/2 - 20*z**2. Factor j(o).
-(o - 3)*(o - 2)/2
Let t(v) = 43*v**2 + 2*v - 1. Let c be t(1). Factor 2*w**2 + 2*w**4 + 34*w**4 - 4 + 14*w**2 + 10*w**5 - 6*w + c*w**3.
2*(w + 1)**4*(5*w - 2)
Let g(c) = c - 2. Let y be g(5). Let n be y - (-3)/(3/2). Determine j so that j**4 - 4*j**3 + j + n*j**2 - j - 2*j = 0.
0, 1, 2
Let w(v) = v**3 + 6*v**2 + 5*v - 10. Let z be w(-4). Let q(a) be the first derivative of -2/5*a + 2/5*a**z + 2 - 2/15*a**3. Let q(t) = 0. Calculate t.
1
Solve 2*p**2 - 20*p**3 + 4*p**2 - 8*p**4 - 4*p - 22*p**2 = 0.
-1, -1/2, 0
Let r(z) be the second derivative of z**4/42 + 4*z**3/21 - 12*z**2/7 - 34*z. Factor r(f).
2*(f - 2)*(f + 6)/7
Let l be 46 + -39 - (-2 - -1). Factor 1/2*q**2 + l - 4*q.
(q - 4)**2/2
Factor 5 + 121*y**4 - 15*y**2 - 116*y**4 + 10*y - 5.
5*y*(y - 1)**2*(y + 2)
Let o(k) = k**3 - 2*k**2 + k - 10. Let t be o(3). Factor 6/5*m**t + 2/5 - 6/5*m - 2/5*m**3.
-2*(m - 1)**3/5
Let g(a) be the first derivative of -1 - a**3 - 2*a - 2*a**2 + 1/10*a**5 + 0*a**4. Let u(m) be the first derivative of g(m). What is p in u(p) = 0?
-1, 2
Determine u, given that -1/4*u**3 - 1/4*u + 0 - 1/2*u**2 = 0.
-1, 0
What is s in -1/2*s + 1/8*s**4 + 3/8*s**3 + 0 + 0*s**2 = 0?
-2, 0, 1
Let a(g) be the third derivative of g**7/420 + g**6/80 - 14*g**2. Factor a(o).
o**3*(o + 3)/2
Factor -2*l**2 + 4*l - 24 + 24.
-2*l*(l - 2)
Factor 10*u**2 - 17*u**2 - 8 + 5*u**2 - 8*u.
-2*(u + 2)**2
Let r = 6 - 6. Factor -2/11*v**2 + 0 + 0*v**3 + 2/11*v**4 + r*v.
2*v**2*(v - 1)*(v + 1)/11
Let s(q) be the second derivative of 0 + 3*q - 2/3*q**3 - 3/2*q**2 + 1/12*q**5 + 1/3*q**4. Let l(m) be the first derivative of s(m). Factor l(g).
(g + 2)*(5*g - 2)
Let y(j) = 2*j**3 - 6*j**2 - 2*j + 6. Let g(b) = b**3 - b**2 - b + 1. Let p(k) = -g(k) + y(k). Solve p(r) = 0.
-1, 1, 5
Let g = 57169/72 - 794. Let u(d) be the third derivative of 0 + 1/180*d**5 - 1/9*d**3 - g*d**4 + 2*d**2 + 0*d. Factor u(v).
(v - 2)*(v + 1)/3
Let a be 10/36*-2*-6. Let t = a - 3. Factor -1/3*v**3 - 1/3*v**2 + 1/3*v**4 + t*v + 0.
v*(v - 1)**2*(v + 1)/3
Let p(l) be the second derivative of -3*l**5/20 - 3*l**4/2 - 6*l**3 - 12*l**2 - 14*l. Determine u so that p(u) = 0.
-2
Let w(v) be the second derivative of -v**4/60 - v**3/10 + 19*v. Find d, given that w(d) = 0.
-3, 0
Let m(d) be the third derivative of 0*d + 0 + 4*d**2 + 4/105*d**7 + 0*d**3 - 1/10*d**6 - 1/168*d**8 + 2/15*d**5 - 1/12*d**4. Factor m(q).
-2*q*(q - 1)**4
Factor -2/13*u**3 + 0*u + 0 - 2/13*u**2.
-2*u**2*(u + 1)/13
Let v = -1 + 5. Suppose -39*j**5 - 10*j**3 + 34*j**3 - 9*j**2 - 15*j**5 - 36*j**v + 25*j**2 = 0. Calculate j.
-2/3, 0, 2/3
Let q(w) be the third derivative of -2*w**7/105 + w**6/30 + 2*w**5/15 + 10*w**2. Factor q(l).
-4*l**2*(l - 2)*(l + 1)
Let i(a) be the third derivative of -6*a**2 - 1/27*a**3 + 1/315*a**7 + 0*a**4 + 0*a + 0 + 1/45*a**5 + 2/135*a**6. Factor i(u).
2*(u + 1)**3*(3*u - 1)/9
Let c(p) be the first derivative of p**5/15 + p**4/3 + p**3/3 + 4. Solve c(x) = 0.
-3, -1, 0
Let w(k) be the first derivative of k**3/18 + 2*k**2/3 + 8*k/3 - 28. Factor w(s).
(s + 4)**2/6
Let d(o) = -23*o**2 + o. Let i(b) = -3*b**2. Let v(f) = -3*d(f) + 24*i(f). Determine k, given that v(k) = 0.
-1, 0
Let j(i) = i**3 - i**2 + 2. Let z be j(0). Factor -5*q**2 - 8*q - 27 + 8*q - 18*q + 2*q**z.
-3*(q + 3)**2
Let a(d) be the third derivative of 14*d**7/5 - 28*d**6/3 + 173*d**5/15 - 22*d**4/3 + 8*d**3/3 + 8*d**2. Find t such that a(t) = 0.
2/7, 1/3, 1
Suppose 28 - 28 = 5*g. Let k(m) be the second derivative of -2*m - 27/70*m**5 - 2/21*m**3 - 13/42*m**4 - 1/21*m**7 - 23/105*m**6 + 0*m**2 + g. Factor k(u).
-2*u*(u + 1)**3*(7*u + 2)/7
Find l such that -1 - 1/9*l**2 - 10/9*l = 0.
-9, -1
Solve -243/2*w**3 + 2 + 189/2*w**2 - 24*w = 0.
2/9, 1/3
Let f(t) = -2*t - 12. Let u be f(-8). Let z(n) be the second derivative of -2*n + 0 - 1/135*n**6 + 2/45*n**5 + 0*n**3 + 0*n**2 - 2/27*n**u. Factor z(p).
-2*p**2*(p - 2)**2/9
Let d(u) be the second derivative of -u**4/36 + u**3/18 - 2*u. Factor d(b).
-b*(b - 1)/3
Let i be (-17)/(-34) - (-3)/2. Let v(m) be the first derivative of 0*m + i - 1/3*m**3 - 1/2*m**2. 