 0. Calculate q.
0
Let f = -5 + 7. Let g = 5 - -3. Factor -f*p**2 - g*p + 9*p + p**2.
-p*(p - 1)
Let 6/11*d + 0 - 2/11*d**2 = 0. Calculate d.
0, 3
Factor 8*h - 18*h**3 - 16/3 + 12*h**2.
-2*(3*h - 2)**2*(3*h + 2)/3
Let u(c) be the third derivative of c**6/540 + c**5/90 - c**4/108 - c**3/9 - 14*c**2. Let u(d) = 0. Calculate d.
-3, -1, 1
Let g be (-1)/((-99)/(-11) + -14). Factor 2/5*d**2 + 0 - g*d**3 + 0*d.
-d**2*(d - 2)/5
Factor -4*l**4 - 8*l + 9*l**5 + 10*l**5 - 12*l**3 - 15*l**5 + 20*l**2.
4*l*(l - 1)**3*(l + 2)
Let t(v) be the first derivative of v**7/42 - v**6/15 - v**5/20 + v**4/6 + 7*v - 1. Let r(q) be the first derivative of t(q). Find i, given that r(i) = 0.
-1, 0, 1, 2
Factor -2/13*b**3 - 12/13*b**2 + 12/13 + 2/13*b.
-2*(b - 1)*(b + 1)*(b + 6)/13
Let j(z) = 2*z**3 + 4 + 7*z - 2 - 9*z. Let q(b) = -b + 1. Let d(c) = j(c) - 2*q(c). Let d(o) = 0. Calculate o.
0
Factor -2 - 1/2*u**3 - 5/2*u**2 - 4*u.
-(u + 1)*(u + 2)**2/2
Let g(w) be the first derivative of -w**5/20 - 3*w**4/16 - w**3/12 + 3*w**2/8 + w/2 + 2. Factor g(t).
-(t - 1)*(t + 1)**2*(t + 2)/4
Let q(h) = -2*h - 1 + 1 + 2 - 4 + 2*h**2. Let v(m) = -m**4 - m**3 - m**2 + m + 1. Let j(f) = 2*q(f) + 4*v(f). Let j(i) = 0. Calculate i.
-1, 0
Let y(c) be the first derivative of -6 - 1/27*c**6 + 0*c + 0*c**2 - 4/45*c**5 + 0*c**3 + 0*c**4. Find f such that y(f) = 0.
-2, 0
Suppose 3*h - 4*h + 5 = 0. Let b(p) = 7*p**5 - 2*p**4 + 3*p**3 + 2*p**2 - 5*p. Let y(o) = -o**5 - o**3 + o. Let g(t) = h*y(t) + b(t). Factor g(v).
2*v**2*(v - 1)**2*(v + 1)
Let w = 31823/52 + -612. Let l = 3/13 - w. Factor l*b**4 + 0 + 0*b + 1/2*b**3 + 1/4*b**2.
b**2*(b + 1)**2/4
Suppose 0 = -0*g - 4*g. Let n = 72 - 287/4. Let -1/4*r**4 + g + 1/4*r + n*r**2 - 1/4*r**3 = 0. What is r?
-1, 0, 1
Let j(i) be the first derivative of 4*i**2 - 4*i - 6 - 2*i**4 + 4/5*i**5 + 0*i**3. Find d, given that j(d) = 0.
-1, 1
Let h = 249/5 + -49. Let q(m) be the first derivative of 1/3*m**6 - m**4 - 7*m**2 + 4*m + 2 + 16/3*m**3 - h*m**5. Factor q(p).
2*(p - 1)**4*(p + 2)
Let o(p) be the second derivative of -8*p**4/27 - 8*p**3/27 - p**2/9 + 4*p - 3. Solve o(x) = 0.
-1/4
Let n be ((-20)/585*3)/((-2)/3). Factor 2/13*s - 2/13*s**2 + n - 2/13*s**3.
-2*(s - 1)*(s + 1)**2/13
Suppose 4*s - 17 = 7. Let b(r) be the third derivative of -1/20*r**5 - 2*r**2 - 1/420*r**7 + 0*r + 1/12*r**4 + 0 + 1/60*r**s - 1/12*r**3. Factor b(g).
-(g - 1)**4/2
Let o(y) be the third derivative of 0 + 0*y - 1/60*y**6 + y**2 + 2/15*y**5 - 1/3*y**4 + 0*y**3. Determine t, given that o(t) = 0.
0, 2
Factor -12/5*c + 0 - 27/5*c**2 - 3/5*c**4 - 18/5*c**3.
-3*c*(c + 1)**2*(c + 4)/5
Factor 0*g**3 - 5/2*g**4 + 5/4*g**5 - 5/4*g + 0 + 5/2*g**2.
5*g*(g - 1)**3*(g + 1)/4
Factor 15*a + 43 + 12*a**2 - 4*a**3 - 23 + 21*a.
-4*(a - 5)*(a + 1)**2
Suppose 0 = 5*t - 2*t + 9. Let w(k) = -3*k**2 + 3*k + 14. Let i(b) = b**2 - b - 5. Let a(j) = t*w(j) - 8*i(j). Let a(d) = 0. What is d?
-1, 2
Suppose 10*v = -4*u + 13*v - 3, 4*v = 5*u + 5. Suppose 9/2*q**4 + 2*q**5 - 4*q**2 + q**3 - 1/2 - u*q = 0. What is q?
-1, -1/4, 1
Suppose -5*d - 4*h + 80 = -2*h, 0 = d + 4*h - 16. Let f be d/16 - 12/14. Factor 0 - 2/7*p**3 - f*p**4 + 0*p - 1/7*p**2.
-p**2*(p + 1)**2/7
Let b(o) = -30*o**3 + 120*o**2 - 129*o + 60. Let s(i) = 3*i**3 - 12*i**2 + 13*i - 6. Let m(l) = -2*b(l) - 21*s(l). Determine n so that m(n) = 0.
1, 2
Let h(s) be the third derivative of s**8/840 - s**7/210 + s**6/180 - s**3/6 - 2*s**2. Let t(y) be the first derivative of h(y). Find r such that t(r) = 0.
0, 1
Let a = -81 + -54. Let z be (-9)/(a/12) + 0. Solve 4/5*l + z + 1/5*l**2 = 0 for l.
-2
Let t(v) be the second derivative of v**5/5 - v**4/3 - 2*v**3/3 + 2*v**2 + 4*v. Solve t(d) = 0.
-1, 1
Let x(p) = p**3 - p**2 + p - 1. Let i(o) = -3*o**3 + 73*o**2 - 373*o + 623. Let n(j) = i(j) - 2*x(j). Determine r so that n(r) = 0.
5
Let j(i) = -4*i**2 - i + 3. Let h = 44 - 22. Let y(l) = 15*l**2 + 3*l - 11. Let k(q) = h*j(q) + 6*y(q). Let k(o) = 0. What is o?
0, 2
What is q in 1/2*q + 1/4*q**3 + 3/4*q**2 + 0 = 0?
-2, -1, 0
Suppose 4*p - 5*b + 265 + 90 = 0, -2*p + 5*b = 185. Let f = p - -427/5. Factor -f*n**3 + 2/5*n**2 + 4/5*n + 0.
-2*n*(n - 2)*(n + 1)/5
Find v such that 0*v - 6/7*v**3 + 0 + 2/7*v**4 + 4/7*v**2 = 0.
0, 1, 2
Factor 0 + 15/4*j**3 + 3*j**2 + 0*j + 3/4*j**4.
3*j**2*(j + 1)*(j + 4)/4
Let l(v) = v**3 + 4*v**2 - 7*v - 7. Let z be l(-5). Suppose 0 = -z*j + 2*j + 2. Factor -4*x + 7*x**3 - 2*x**3 - 10*x**4 - x**3 + 10*x**j.
-2*x*(x - 1)*(x + 1)*(5*x - 2)
Let q(d) be the third derivative of -d**8/1512 - 2*d**7/945 - d**6/540 + 5*d**2. Factor q(k).
-2*k**3*(k + 1)**2/9
Let l(f) = f**3 - 4*f**2 - 3. Let x(m) = -6*m**3 + 23*m**2 + 17. Let q(r) = -34*l(r) - 6*x(r). Let q(c) = 0. What is c?
0, 1
Let o(j) = -2*j - 9. Let s be o(-7). Factor s*u + 3*u**2 - u**3 + 2 + 2*u**3 + u**2.
(u + 1)**2*(u + 2)
Let g = -14 - -61/4. Let u(a) be the first derivative of 1/3*a**3 + a + 1 - g*a**2. Solve u(k) = 0 for k.
1/2, 2
Let q(u) be the third derivative of -u**8/252 + 2*u**7/315 + 15*u**2. Factor q(j).
-4*j**4*(j - 1)/3
Factor 26*i - 1 - 2*i - 20*i**2 - 3.
-4*(i - 1)*(5*i - 1)
Suppose -3*f + 8 = -4*z + 29, 3*z - 3 = -2*f. Let a = 2/5 + -1/15. Factor 1/3 - a*d + 1/3*d**z - 1/3*d**2.
(d - 1)**2*(d + 1)/3
Let v be -3*(20/(-36))/5. Find z, given that v*z**2 + 0 + 1/3*z = 0.
-1, 0
Let h = -79/30 - -14/5. Let w(c) be the second derivative of 0 + h*c**4 + c - c**2 + 0*c**3. Find u such that w(u) = 0.
-1, 1
Let f(p) be the first derivative of 2*p**5/5 - 3*p**4 + 2*p**3 + 10*p**2 + 1. Factor f(x).
2*x*(x - 5)*(x - 2)*(x + 1)
Suppose z = 5*x - 15, -5*x + 3*z + 2*z + 15 = 0. Determine a so that -1/2*a + 1/4 - 7/4*a**2 - a**x = 0.
-1, 1/4
Suppose 2/17*c**4 + 0 - 2/17*c**2 + 0*c**3 + 0*c = 0. Calculate c.
-1, 0, 1
Factor -4/7*a**3 + 4/7*a**5 + 4/7*a**2 + 0*a - 4/7*a**4 + 0.
4*a**2*(a - 1)**2*(a + 1)/7
Suppose 4 = 4*c - 8. Suppose c*l = 3 - 0. Suppose 3*z**3 + z + l - 4*z**3 - 1 = 0. Calculate z.
-1, 0, 1
Let t(d) = d**5 + d**4 + d**3 - d**2 + 1. Let f(k) = -6*k**5 - 10*k**4 - 18*k**3 + 10*k**2 + 4*k - 10. Let q(j) = -f(j) - 10*t(j). Find m such that q(m) = 0.
-1, 0, 1
Let z = 17 - 13. Determine r, given that -2*r**2 + 8*r**3 - 2*r**2 + 10*r**4 - 5*r**z = 0.
-2, 0, 2/5
Let o(i) = -5*i**2 - 8*i + 5. Let d(q) = -11*q**2 - 16*q + 11. Let v(n) = 2*d(n) - 5*o(n). Factor v(x).
(x + 3)*(3*x - 1)
Let s(d) be the third derivative of -1/15*d**5 + 0 + 0*d + 0*d**3 + d**2 + 1/6*d**4. What is p in s(p) = 0?
0, 1
Let o(a) be the second derivative of -a**8/10080 + a**7/3780 - a**4/4 - 4*a. Let n(d) be the third derivative of o(d). Factor n(b).
-2*b**2*(b - 1)/3
Let j(b) be the third derivative of 1/1512*b**8 + 2/945*b**7 - 1/135*b**5 + 0*b**6 + 0 - 1/108*b**4 + 0*b + 0*b**3 - 2*b**2. Suppose j(y) = 0. Calculate y.
-1, 0, 1
Let g(s) be the second derivative of s**4/42 + 2*s**3/7 + 5*s**2/7 + 2*s + 3. Suppose g(t) = 0. Calculate t.
-5, -1
Let a be 0/1 + 9/3. Suppose -2*c**2 + 1 - 5*c + a*c**2 + 3*c + 0 = 0. Calculate c.
1
Suppose -1/4*d + 0 + 1/4*d**2 = 0. Calculate d.
0, 1
Let s = -11 - -8. Let k be 27/(-198)*4/s. Solve 0 + k*b**3 + 2/11*b + 4/11*b**2 = 0 for b.
-1, 0
Let t = 1/4 - -5/4. Factor -3*w + 3/2*w**2 + t.
3*(w - 1)**2/2
Let f = -4 + 0. Let n be (24/30)/(f/(-10)). Find k, given that -2/3 + 0*k**n - k + 1/3*k**3 = 0.
-1, 2
Let h be (1 + (-198 - 0))*1. Let i = -1771/9 - h. Factor 4/9*l + 2/9*l**2 + i.
2*(l + 1)**2/9
Let x(h) = 2*h**4 - 8*h**3 + 10*h**2 + 20*h + 4. Let c(a) = -a**4 + a**3 - a**2 - a + 1. Let p(g) = 4*c(g) + x(g). Suppose p(l) = 0. Calculate l.
-2, -1, 2
Let o(u) = u**4 + u + 1. Let r(t) be the first derivative of t**6/6 + 6*t**5/5 - t**4/4 - t**3/3 + 5*t**2/2 + 5*t + 1. Let g(a) = 15*o(a) - 3*r(a). Factor g(i).
-3*i**2*(i - 1)*(i + 1)**2
Let y(m) be the first derivative of 2*m + 3 - 1/2*m**2 - 2/3*m**3 + 1/4*m**4. Factor y(c).
(c - 2)*(c - 1)*(c + 1)
Let q(m) be the third derivative of -1/48*m**4 + 0*m**3 + 0*m - m**2 + 0 - 1/120*m**5. Find p such that q(p) = 0.
-1, 0
Let w = 0 + 2. Factor 5 + r - 4*r**2 + 3*r**w - 3.
-(r - 2)*(r + 1)
Factor -18/5 - 3/5*w + 3/5*w**2.
3*(w - 3)*(w + 2)/5
Let q(f) = 9*f**3 - 4*f**2 + 2*f + 7. Let p(z) = -4*z**3 + 2*z**2 - z - 3. Let x(s) = 14*p(s) + 6*q(s). Factor x(c).
-2*c*(c - 1)**2
Factor 0 - 1/2*v - v**3 - 1/4*v**4 - 5/4*v**2.
-v*(v + 1)