Let i = j + 33/4. Factor 1/2*n**2 - 1/2 + i*n - 1/4*n**3.
-(n - 2)*(n - 1)*(n + 1)/4
Solve -2/5*i**3 + 0*i**2 + 0 + 0*i = 0.
0
Let y(h) be the third derivative of 0*h - 10*h**2 + 0 - 1/48*h**4 + 1/120*h**5 + 0*h**3. Find c such that y(c) = 0.
0, 1
Suppose -2*p = -1 - 3. Let z(s) be the first derivative of 0*s**2 + 0*s + 0*s**5 + p + 1/8*s**4 + 0*s**3 - 1/12*s**6. Let z(q) = 0. Calculate q.
-1, 0, 1
Suppose -1/10*j + 1/10*j**3 + 1/5 - 1/5*j**2 = 0. What is j?
-1, 1, 2
Let c(s) be the first derivative of -2*s**5/15 + 5*s**4/12 - s**3/3 - s**2/6 + s/3 + 8. Factor c(m).
-(m - 1)**3*(2*m + 1)/3
Let g(k) be the first derivative of 3/2*k**2 + 1/120*k**5 + 1/3*k**3 + 0*k + 1 - 1/12*k**4. Let i(y) be the second derivative of g(y). Factor i(l).
(l - 2)**2/2
Factor -3/2*a - 2 + 1/2*a**2.
(a - 4)*(a + 1)/2
Suppose 0 = -3*d - 15 - 75. Let c be (36/d)/((-2)/5). Solve -2/7*w + 2/7*w**2 - 2/7 + 2/7*w**c = 0.
-1, 1
Let u(b) be the third derivative of -b**5/60 - 17*b**4/12 - 289*b**3/6 - 15*b**2 - 1. Factor u(i).
-(i + 17)**2
Suppose -r - 6 = 6. Let i be 9/r + (-1)/4. Let l(t) = t**3 - t**2 + t. Let w(q) = -4*q**2 + 6*q. Let k(p) = i*w(p) + 2*l(p). Factor k(b).
2*b*(b - 1)*(b + 2)
Let t = -894 - -8054/9. Suppose -8/9*r**2 - 2/9*r**4 - t*r**3 + 0 + 0*r = 0. What is r?
-2, 0
Let k(z) = -z**2 - 10*z - 27. Let a(r) = 6*r**2 + 60*r + 163. Let w(t) = -6*a(t) - 39*k(t). Factor w(n).
3*(n + 5)**2
Factor 18 + 24*a + 13/2*a**2 + 1/2*a**3.
(a + 1)*(a + 6)**2/2
Let d(z) = -4*z**3 + 8*z**2 + 14*z. Let k(t) be the second derivative of -7*t**5/20 + 4*t**4/3 + 9*t**3/2 + 3*t. Let m(o) = -11*d(o) + 6*k(o). Factor m(u).
2*u*(u + 2)**2
Let f be (-23)/(-345) + (-1)/(-3). What is d in 2/5*d**3 + 0 + f*d**2 + 0*d = 0?
-1, 0
Let x(m) be the second derivative of m**8/3360 - m**6/720 + m**3/3 + 7*m. Let y(s) be the second derivative of x(s). What is a in y(a) = 0?
-1, 0, 1
Let v(w) be the first derivative of 1/3*w**3 + 0*w + 1/2*w**2 + 1. What is i in v(i) = 0?
-1, 0
Let g(t) be the first derivative of -t**6/24 + t**5/20 + t**4/8 - t**3/6 - t**2/8 + t/4 - 17. Let g(o) = 0. Calculate o.
-1, 1
Let f(x) be the third derivative of -41/300*x**6 + 0*x - 1/4*x**4 + 1/25*x**7 + 37/150*x**5 + 2/15*x**3 - 3*x**2 + 0 - 1/210*x**8. What is j in f(j) = 0?
1/4, 1, 2
Let q(i) = -4*i + 26. Let l be q(6). Let k(z) be the second derivative of z + 1/16*z**4 + 3/8*z**l + 0 + 1/4*z**3. Let k(c) = 0. What is c?
-1
Let j = -11 - -14. Suppose 2*v - j = -o, -3*v - 4*o = -0*o + 3. Determine r, given that 3/4*r + 1/4 + 3/4*r**2 + 1/4*r**v = 0.
-1
Let j = -2579/5 + 517. Find b, given that -8/5*b**2 - j*b + 2/5 = 0.
-1, 1/4
Let m(n) be the third derivative of n**5/180 + n**4/18 - 5*n**3/18 + 14*n**2. Find c, given that m(c) = 0.
-5, 1
Let b(z) be the third derivative of z**7/210 + 10*z**2. Suppose b(a) = 0. What is a?
0
Let x(p) be the first derivative of p**8/1008 + p**7/315 + p**6/360 + p**2 + 3. Let s(k) be the second derivative of x(k). Find a, given that s(a) = 0.
-1, 0
Let o = 15 + -7. Let v(l) = 15*l**2 - l - 6. Let n(k) = 10*k**2 - k - 4. Let q(g) = o*n(g) - 5*v(g). Factor q(r).
(r - 1)*(5*r + 2)
Let d(j) = -3*j**4 - 19*j**3 - 45*j**2 - 39*j - 10. Let k(z) = 15*z**4 + 94*z**3 + 225*z**2 + 195*z + 49. Let a(q) = 11*d(q) + 2*k(q). Factor a(s).
-3*(s + 1)**3*(s + 4)
Factor -2/5*m**3 - 128/5 - 96/5*m - 24/5*m**2.
-2*(m + 4)**3/5
Let f(m) = 2*m - 16. Let v be f(7). Let g be 12/8 + (-1)/v. Factor 2/7*j**3 - 2/7*j**g + 0 + 0*j.
2*j**2*(j - 1)/7
What is r in -2/3 - 2/3*r**2 - 4/3*r = 0?
-1
Let d be 8/(-2)*14/(-210). Let l = 1/15 + d. Find s such that -l*s - 2/3 + 1/3*s**2 = 0.
-1, 2
Let i = 2/19 - -7/114. Let r(x) be the third derivative of -x**2 + 1/15*x**5 - 1/120*x**6 + 0*x + 0 - i*x**4 + 0*x**3. Factor r(n).
-n*(n - 2)**2
Factor -6/7*k**3 + 0 + 0*k + 2/7*k**2 - 8/7*k**4.
-2*k**2*(k + 1)*(4*k - 1)/7
Let t = 7 - 8. Let a be 0 - (12/16 + t). Factor 0*x + 1/4*x**2 + a*x**4 - 1/2*x**3 + 0.
x**2*(x - 1)**2/4
Let q(l) be the second derivative of 49*l**6/15 + 217*l**5/10 - 68*l**4/3 + 20*l**3/3 + l + 5. Factor q(o).
2*o*(o + 5)*(7*o - 2)**2
Let b(p) = -8*p**2 - 4*p + 6. Let g(d) = -d**2 - d + 1. Suppose 0 = -8*q + 3*q + 5. Let w(r) = q*b(r) - 6*g(r). Determine c so that w(c) = 0.
0, 1
Let n(z) be the third derivative of -z**8/100800 - z**5/60 - 2*z**2. Let o(f) be the third derivative of n(f). Find x, given that o(x) = 0.
0
Let z(s) = -s - 2. Let b be z(-4). Solve 2*f**3 - 9*f**2 - f**2 - f**2 - 7*f**b + 4 + 6*f + 6*f**4 = 0 for f.
-2, -1/3, 1
Let d = -3 - -6. Let w be (-6)/(d/1)*-1. Determine b, given that 0*b**w + 2*b - 3*b + b**2 = 0.
0, 1
Let n be 2/3 + 7/(-15). Let x = 8 - 39/5. Solve -2/5*z + x*z**2 + n = 0.
1
Factor 0*c + 3*c + c**3 - 4*c.
c*(c - 1)*(c + 1)
Suppose -6*l**4 + 20*l**3 - 3*l**4 - 7*l**4 - 4*l**5 = 0. What is l?
-5, 0, 1
Let i = -313/3 + 105. Find g, given that 0 - 2/3*g**5 + 8/3*g**2 - 4*g**3 - i*g + 8/3*g**4 = 0.
0, 1
Let t(f) be the third derivative of f**8/896 + f**7/280 + f**6/320 - 13*f**2. Factor t(k).
3*k**3*(k + 1)**2/8
Let l = -21 - -23. Suppose 5*c + 10 = 2*d - 0, l = -d - c. What is t in -1/2*t**3 + 1/4*t + 1/4*t**5 + d*t**4 + 0*t**2 + 0 = 0?
-1, 0, 1
Let s(w) be the first derivative of w**6/9 - 2*w**5/5 + w**4/3 + 4*w**3/9 - w**2 + 2*w/3 - 57. Factor s(f).
2*(f - 1)**4*(f + 1)/3
Suppose -6 = -0*f - 3*f. Let c(j) be the first derivative of f - 1/11*j**2 + 1/22*j**4 - 2/55*j**5 + 2/33*j**3 + 0*j. Solve c(n) = 0 for n.
-1, 0, 1
Factor -5 - 15*x - 3*x**2 + 15 + 4*x**2 + 4*x**2.
5*(x - 2)*(x - 1)
Let o(q) be the third derivative of q**8/84 - 2*q**7/105 - 4*q**2. Determine g so that o(g) = 0.
0, 1
Let n = -825 + 825. Suppose 2*z = -y, -3 + 2 = 2*y + 5*z. Solve 0*w**3 + n*w + 0 + 2/9*w**y - 2/9*w**4 = 0.
-1, 0, 1
Let y be (-98)/(-1680)*2/14. Let q(h) be the third derivative of 1/48*h**4 + 0 - h**2 - y*h**5 - 1/240*h**6 + 0*h + 1/12*h**3. Factor q(n).
-(n - 1)*(n + 1)**2/2
Let q(j) be the first derivative of -j**5/10 - 3*j**4/8 - j**3/2 - j**2/4 + 8. Find g such that q(g) = 0.
-1, 0
Let x = 71 - 34. Let q = x + -37. Determine k, given that 0*k + 1/4*k**3 + q*k**2 + 0 = 0.
0
Let w(h) be the first derivative of h**6/60 - h**5/30 - h**4/6 - 2*h**2 + 6. Let q(a) be the second derivative of w(a). Suppose q(p) = 0. What is p?
-1, 0, 2
Let q(r) = -r**2 - r - 1. Let p(g) = g**3 + 10*g**2 + 9*g + 7. Let t(s) = -4*p(s) - 28*q(s). Factor t(o).
-4*o*(o + 1)*(o + 2)
Let s be 0 + (-12)/8*(-4)/3. Let m(o) be the first derivative of 2/3*o**3 - 2 + 0*o**s + 0*o. Factor m(y).
2*y**2
Suppose 0 = -d - d - 2, -3*d - 106 = -k. Let n = k - 513/5. Factor 0 - 2/5*j**2 - n*j**3 + 0*j.
-2*j**2*(j + 1)/5
Solve 2/3*w**2 - 28/3*w + 98/3 = 0.
7
Let j(t) be the third derivative of -t**6/24 - t**5/6 - 5*t**4/24 + t**2. Solve j(o) = 0.
-1, 0
Let c(n) be the third derivative of 1/30*n**5 + 1/4*n**4 + 2/3*n**3 + n**2 + 0*n + 0. Find l, given that c(l) = 0.
-2, -1
Let r(f) = f**5 - f**4 - f**3 - f**2 + f + 1. Let v(u) = u**5 - u**4 - 4*u**3 + 2*u**2 - 2*u - 2. Let y(n) = 2*r(n) + v(n). Solve y(p) = 0.
-1, 0, 2
Let u be 14/21 - 11/3. Let q = u + 6. Factor 0 - 1/3*l**2 + 0*l + 1/3*l**5 + 1/3*l**4 - 1/3*l**q.
l**2*(l - 1)*(l + 1)**2/3
Let k be (-15)/(-20)*(-508)/(-6). Let u = -62 + k. Factor -1/2*t**3 - 3/2*t + 1/2 + u*t**2.
-(t - 1)**3/2
Let r = 28 + -24. Let o(t) be the first derivative of 0*t**2 + 1 + 4/15*t**5 + 1/9*t**6 + 0*t + 0*t**3 + 1/6*t**r. Factor o(j).
2*j**3*(j + 1)**2/3
Suppose 5*i + 2*w - 90 = 0, -39 = -4*i + 2*w + 15. Let b be 52/i - 1 - 2. Let b*p**2 + 0 + 1/4*p**3 + 0*p = 0. What is p?
-1, 0
Let d = 10 + -6. Suppose d = x + x. Factor -3*s**x + s**3 + 13*s + 4 - 13*s.
(s - 2)**2*(s + 1)
Let z(h) = h**5 + 2*h**3 - 6*h**2 - 2. Let o(k) = 3*k**5 - k**4 + 3*k**3 - 11*k**2 - 5. Let d(u) = -2*o(u) + 5*z(u). Find n, given that d(n) = 0.
-2, 0, 2
Let z be (-4 + 5)*3 - 11/4. Suppose -3*r + 0 = -15, 0 = 3*x - 3*r + 9. Determine v, given that 0 - z*v + 1/4*v**x = 0.
0, 1
Let r(w) be the second derivative of w**6/90 - w**5/60 - 5*w. Determine s so that r(s) = 0.
0, 1
Let j(p) be the first derivative of 7*p**6/180 + p**5/18 - p**4/18 + p**2/2 - 1. Let b(q) be the second derivative of j(q). Suppose b(t) = 0. What is t?
-1, 0, 2/7
Let s(b) = 12*b**4 + 38*b**3 + 39*b**2 + 12*b - 11. Let q(y) = y**4 + y**3 + y - 1. Let w(g) = -