**3 - 2/11*a**2 + 2/11*a**4 + 2/11*a = 0.
-1, 0, 1
Suppose -5*m + 26 = -3*d, 6 = -2*m + 4*d + 22. Factor m*l**3 + 6*l**4 + 0*l**3 - 10*l**4.
-4*l**3*(l - 1)
Suppose 0*j - 15 = -5*j. Factor -2*w**2 + 2 + j*w**2 + 0 - 3*w.
(w - 2)*(w - 1)
Let y(j) = -j + 7. Let o be y(5). Suppose -10*u**4 + 4*u**5 + o*u**4 + 12*u**3 - 4*u**4 - u**5 = 0. Calculate u.
0, 2
Let x be 1 - 6 - (-44)/8. Let q(m) be the third derivative of -3/10*m**5 + 0 + 1/10*m**6 + 4*m**2 - 1/70*m**7 + 0*m - 1/2*m**3 + x*m**4. Factor q(i).
-3*(i - 1)**4
Let p be 9/9 - 1/3. Factor -4/3*x + 0 - p*x**2.
-2*x*(x + 2)/3
Let k be -5 + 50/7 - (-2)/(-2). Solve 4/7*s + k - 4/7*s**2 = 0 for s.
-1, 2
Suppose -3*b - 12 = 0, -z - 13 = 4*b - 0. Let d(x) be the second derivative of 0*x**z - x + 0*x**2 - 3/40*x**5 + 0 + 1/8*x**4. Factor d(h).
-3*h**2*(h - 1)/2
What is i in -752*i - i**3 - 4*i**2 + 753*i + i**3 + 3*i**3 = 0?
0, 1/3, 1
Let r be -2*3/6*-3. Let z(t) be the first derivative of -1/6*t**2 + 0*t - 2 - 1/9*t**r. Factor z(x).
-x*(x + 1)/3
Let h be -6 + 5 + 5 + 0. Determine o, given that -14*o**4 + 0*o**3 + 16*o**h + 0*o**3 = 0.
0
Let v(p) be the third derivative of -p**7/945 + p**6/180 - p**5/270 - p**4/36 + 2*p**3/27 - 8*p**2. Solve v(x) = 0.
-1, 1, 2
Let u(s) be the first derivative of -s**5/120 - s**4/48 + s**3/6 - s**2 + 4. Let v(b) be the second derivative of u(b). Factor v(z).
-(z - 1)*(z + 2)/2
Let w be 5/(-2)*3/(-180). Let l = 7/24 - w. Suppose 1/4*s**5 + 1/2*s**2 + 1/2*s**3 + l - 3/4*s - 3/4*s**4 = 0. Calculate s.
-1, 1
Let s(l) = l**2 - l + 1. Let u(j) = -5*j**2 + 6*j - 6. Let c(r) = 6*s(r) + u(r). Factor c(z).
z**2
Let h(c) be the first derivative of 1/2*c**5 - 1/2*c**4 - c - 2/15*c**6 + c**2 - 3 - 1/3*c**3. Let a(n) be the first derivative of h(n). Factor a(w).
-2*(w - 1)**3*(2*w + 1)
Let v(z) be the third derivative of -z**7/140 + z**6/80 + z**5/20 - 5*z**2 - z. Determine x so that v(x) = 0.
-1, 0, 2
Let o(l) be the third derivative of 1/40*l**5 + 0*l - 1/24*l**4 - 1/240*l**6 - 2*l**2 + 0 + 0*l**3. Factor o(z).
-z*(z - 2)*(z - 1)/2
Let h = 68 - 339/5. Factor 0 + 0*z**2 - 1/5*z**3 - h*z**4 + 0*z.
-z**3*(z + 1)/5
Factor 3/4*d**5 + 0 + 0*d + 0*d**2 + 3/2*d**3 + 9/4*d**4.
3*d**3*(d + 1)*(d + 2)/4
Factor 0 + 2/7*m**3 + 2/7*m - 4/7*m**2.
2*m*(m - 1)**2/7
Let s = -30/17 - -167/85. Factor -1/5*i**2 + 0 - s*i.
-i*(i + 1)/5
Let u = -87 + 90. Let k(i) be the third derivative of -1/480*i**6 + 0 - i**2 + 1/80*i**5 + 0*i**u + 0*i - 1/48*i**4. Factor k(m).
-m*(m - 2)*(m - 1)/4
Let j = 4 - 1. Suppose -2*r = -j*r. Find q, given that 2/3*q**4 + r*q**3 + 0 + 0*q**2 + 0*q = 0.
0
Let p(g) be the third derivative of g**6/60 + g**5/15 + g**4/12 + 10*g**2. Factor p(z).
2*z*(z + 1)**2
Let i be 3/(-2)*(-1)/9. Let a(h) be the second derivative of i*h**2 + 2*h + 0 - 1/18*h**4 + 1/90*h**6 + 0*h**5 + 0*h**3. Solve a(d) = 0.
-1, 1
Let z(n) be the first derivative of n**6/24 + n**5/10 - n**3/6 - n**2/8 - 6. Suppose z(g) = 0. What is g?
-1, 0, 1
Suppose -2*g = -6*g + 16. Let w be (2/5)/(g/20). Factor -24/7*m + 12/7*m**w - 2/7*m**3 + 16/7.
-2*(m - 2)**3/7
Suppose -v - 5 = -x - 4, 0 = -x + 3*v + 5. Let c = 4 + x. Factor -c*h + 6*h - 5*h - 2*h**2.
-2*h*(h + 1)
Let j be 4719/1331 - 6/11. Suppose -3/5*n**j + 0*n**2 + 0 + 3/5*n = 0. Calculate n.
-1, 0, 1
Suppose o - 2 - 1 = 2*z, 3*z - 3*o + 9 = 0. Factor z*p + 0 + 2/15*p**4 + 2/5*p**3 + 4/15*p**2.
2*p**2*(p + 1)*(p + 2)/15
Let z(m) be the first derivative of -4*m**3/15 - 2*m**2/5 + 24*m/5 + 28. Let z(u) = 0. What is u?
-3, 2
Let f(w) = 10*w**2 - 2*w + 13. Let m(v) = 3*v**2 - v + 4. Let n(r) = 6*f(r) - 21*m(r). Find d such that n(d) = 0.
1, 2
Let h = -3 + 5. Factor -h*z**2 + 27*z - 27*z.
-2*z**2
Let c = 9 - 13. Let l be 18/4 + c/8. What is n in -n**3 - 8*n**5 + 7*n**l - n**3 + 3*n**5 = 0?
0, 2/5, 1
Factor -l + 0 - 1/3*l**2.
-l*(l + 3)/3
Factor 3*h**3 + h**3 + 5*h - 4*h - 5*h.
4*h*(h - 1)*(h + 1)
Let j(c) be the first derivative of -2*c**5/75 + c**4/60 + 2*c**2 + 5. Let s(x) be the second derivative of j(x). Factor s(m).
-2*m*(4*m - 1)/5
Suppose -4*f - 3*s = 2*s - 10, -3*s + 6 = 5*f. Let -1/3*b**2 + 1/3 + f*b = 0. Calculate b.
-1, 1
Factor -9/4*q**2 + 3 + 0*q + 3/4*q**3.
3*(q - 2)**2*(q + 1)/4
Let t(f) be the third derivative of -f**6/24 + f**5/12 + 5*f**4/3 - 10*f**3 - 26*f**2. Suppose t(q) = 0. Calculate q.
-3, 2
Let i be (-1 - -6)*(2 + -1). Let k be i/15*(-4)/(-1). Factor -k*r + 8/3 - 10/3*r**2 - r**3.
-(r + 2)**2*(3*r - 2)/3
What is c in 1/4*c**2 - 1/4*c**3 + 0 + 1/2*c = 0?
-1, 0, 2
Let y = 1 - -1. Factor -5*h**y + 3*h**2 + h + 2*h**3 + 2*h**4 - 3*h.
2*h*(h - 1)*(h + 1)**2
Let p(c) be the second derivative of -c**8/2520 - c**7/315 - c**6/108 - c**5/90 - c**3/3 + 3*c. Let l(d) be the second derivative of p(d). Factor l(g).
-2*g*(g + 1)**2*(g + 2)/3
Factor 11/6*z - 1/6*z**2 + 0.
-z*(z - 11)/6
Let z(r) be the second derivative of 0*r**2 - 1/27*r**3 - 7/180*r**5 - 7/108*r**4 - 6*r - 1/135*r**6 + 0. Find t, given that z(t) = 0.
-2, -1, -1/2, 0
Let b = 17 + -81/5. Factor -14/5*w**5 + b*w**3 + 0*w**2 + 2*w**4 + 0 + 0*w.
-2*w**3*(w - 1)*(7*w + 2)/5
Let n(t) be the second derivative of -t**6/1980 - t**5/220 - t**4/66 + t**3/6 - t. Let r(c) be the second derivative of n(c). Suppose r(u) = 0. What is u?
-2, -1
Let s(h) be the third derivative of -h**5/210 + 3*h**4/28 - 8*h**3/21 - 16*h**2. Solve s(m) = 0 for m.
1, 8
Let r(q) be the first derivative of q**5/5 + q**4/2 - 4*q**3/3 - q**2 + 3*q - 3. Let r(s) = 0. Calculate s.
-3, -1, 1
Let w(p) be the first derivative of -p**3 + 15*p**2 - 75*p + 42. Factor w(x).
-3*(x - 5)**2
Suppose 6 - 20 = -b. Factor 7*g**3 + 2*g**3 - 3*g**2 - 23*g + 3*g**4 + b*g.
3*g*(g - 1)*(g + 1)*(g + 3)
Factor -16/3*j + 80/3*j**2 - 68/3*j**3 + 16/3*j**4 + 0.
4*j*(j - 2)**2*(4*j - 1)/3
Suppose -3*y = -2*t - 1, -4*t + 14 - 1 = -y. Factor 5*j**2 + 2*j - 6 - 6*j + 0*j - y*j**2.
2*(j - 3)*(j + 1)
Let t(w) be the first derivative of w**6/10 - 7*w + 4. Let n(r) be the first derivative of t(r). Factor n(x).
3*x**4
Let m(c) be the third derivative of c**7/63 - c**6/15 + c**5/10 - c**4/18 - 7*c**2. What is v in m(v) = 0?
0, 2/5, 1
Factor -2/7*i**2 - 8/7*i + 10/7.
-2*(i - 1)*(i + 5)/7
Let r(b) = 2*b**4 - 5*b**3 - 7*b**2. Let k = -13 - -18. Let z(f) = f**4 - 2*f**3 - 3*f**2. Let o(x) = k*z(x) - 2*r(x). Factor o(q).
q**2*(q - 1)*(q + 1)
Let n(a) be the third derivative of -a**8/9240 + 5*a**3/6 + 3*a**2. Let h(j) be the first derivative of n(j). Suppose h(p) = 0. What is p?
0
Let u(a) be the first derivative of -35*a**3/3 - 20*a**2 - 5*a + 23. Solve u(m) = 0 for m.
-1, -1/7
Determine t, given that 0 + 0*t + 1/3*t**2 + 2/3*t**4 + 5/6*t**3 + 1/6*t**5 = 0.
-2, -1, 0
Determine d so that -3/4*d**3 + 0 + 3/4*d**2 + 3/2*d = 0.
-1, 0, 2
Let d be (-6)/(-60) - 28/(-8). Let -2/15*s**3 - 6/5*s**2 - 18/5*s - d = 0. Calculate s.
-3
Suppose 3 = -4*c + 19. Factor -2/9*o + 0 + 2/9*o**5 - 4/9*o**c + 4/9*o**2 + 0*o**3.
2*o*(o - 1)**3*(o + 1)/9
Let u(l) be the third derivative of l**5/300 + l**4/60 + l**3/30 - 7*l**2. Factor u(t).
(t + 1)**2/5
Let y = 7 + -2. Suppose 0 = 2*f + y*x - 19, -x + 2 = 2*f - 5. Factor -f*b + 2*b**2 + 2 - 2.
2*b*(b - 1)
Let i(r) be the first derivative of -r**4/30 + r**2/5 - 9*r - 3. Let d(h) be the first derivative of i(h). Suppose d(b) = 0. What is b?
-1, 1
Let f(x) be the first derivative of x**7/126 + x**6/120 - x**5/90 + 3*x**2 - 5. Let r(m) be the second derivative of f(m). What is t in r(t) = 0?
-1, 0, 2/5
Let w(n) be the third derivative of n**8/420 - 4*n**7/525 + n**6/150 + 13*n**2. Factor w(i).
4*i**3*(i - 1)**2/5
Let l(g) = 6*g**5 + 15*g**4 + 6*g**3 + 27*g. Let t(n) = 0*n - 4*n - 3*n**4 - n**3 + n**4 - n**5. Let b(j) = 4*l(j) + 27*t(j). What is h in b(h) = 0?
0, 1
Let m(n) be the second derivative of -n**6/380 + 4*n**5/285 - n**4/57 + 9*n**2/2 + n. Let f(k) be the first derivative of m(k). Factor f(x).
-2*x*(x - 2)*(3*x - 2)/19
Let s be (-2)/(-5) + -7 + 556/60. Find t such that -8/3*t**2 + 2/3*t**5 + 4*t**3 + 2/3*t + 0 - s*t**4 = 0.
0, 1
Let r(s) = 14*s**4 + 3*s**3 - 12*s**2 - 3*s + 2. Suppose -5*p + 0 - 22 = -k, 2*k + p = 0. Let w(v) = -v**4 - 1. Let y(l) = k*w(l) + r(l). Factor y(u).
3*u*(u - 1)*(u + 1)*(4*u + 1)
Let i(y) = 4*y**5 - 4*y**4 - 2*y**3 + 2*y**2 - 2*y + 2. Let k(s) = -s**3 + s**2 + s - 1. Let t(r) = i(r) + 2*k(r). Factor t(x).
4*x**2*