/8*x**2 + 0*x.
-x**2/8
Suppose -8*b**2 + 12 - 3 - 3 - 10*b - 8 = 0. What is b?
-1, -1/4
Let c(n) be the third derivative of n**5/5 - 5*n**4/6 + 4*n**3/3 + 4*n**2. Suppose c(f) = 0. Calculate f.
2/3, 1
Let k(g) be the second derivative of g**6/30 + g**5/10 + g**4/12 + 8*g. Solve k(n) = 0 for n.
-1, 0
Let z = -19/20 - -217/60. Find a such that 1/3*a**2 + 0 - 2/3*a + 5/3*a**4 + z*a**3 = 0.
-1, 0, 2/5
Let w(o) be the first derivative of 3*o**5/20 - 3*o**4/4 + o**3 - 3*o + 4. Let t(g) be the first derivative of w(g). Factor t(p).
3*p*(p - 2)*(p - 1)
Let l(x) be the second derivative of -x**7/63 - 7*x**6/135 - x**5/18 - x**4/54 - 12*x. Factor l(f).
-2*f**2*(f + 1)**2*(3*f + 1)/9
Let l = 1 + 2. Let s = l + -1. Suppose -s*g**2 - g - g + 4*g = 0. Calculate g.
0, 1
Let p(w) be the third derivative of -w**6/150 + w**4/30 + 9*w**2. Factor p(j).
-4*j*(j - 1)*(j + 1)/5
Let k(u) be the first derivative of 5*u**4/12 - 5*u**3/3 + 5*u**2/2 - 5*u/3 - 3. Factor k(n).
5*(n - 1)**3/3
Suppose -4*y + 5*y**2 - 14*y**2 + 3*y**3 + 3*y + 7*y**2 = 0. What is y?
-1/3, 0, 1
Suppose q + 7 = 3*l, q - 3*q = 2. Suppose 1 + 4*a**2 - 2*a**3 - 3*a**2 - 3*a**l - a**2 = 0. What is a?
-1, 1/2
Let j = -530/7 - -76. Factor 0*x - 2/7*x**2 + 2/7*x**5 - 2/7*x**3 + 0 + j*x**4.
2*x**2*(x - 1)*(x + 1)**2/7
Let l = 76 + -72. Determine h so that 0*h + 0 + 0*h**2 + 3/7*h**5 + 3/7*h**3 - 6/7*h**l = 0.
0, 1
Let v be ((-20)/(-15))/((-4)/(-9)). Factor 2/9 + 2/9*u**v - 2/9*u - 2/9*u**2.
2*(u - 1)**2*(u + 1)/9
Suppose 2*y = 4, -3*y + 11 = 4*u - 3. Let s = 23/6 - 10/3. Determine l, given that 0*l + s*l**3 - 1/2*l**5 + 0 - 1/2*l**4 + 1/2*l**u = 0.
-1, 0, 1
Let p = 5 - 0. Suppose -p = -2*h - 1. Factor 2 - 2*i**2 - 2*i - h*i**3 + i + 3*i.
-2*(i - 1)*(i + 1)**2
Let u(t) = -t**3 + 2*t**2 + 6*t - 5. Let k be u(3). Factor -6*q**3 + 6*q**4 + q**2 - 3*q**k + q + q**3.
q*(q - 1)**2*(3*q + 1)
Let m = 15/13 - 32/39. Suppose 3*u - m + 16/3*u**3 - 8*u**2 = 0. Calculate u.
1/4, 1
Let i = -39013/36 - -1084. Let z(s) be the second derivative of 1/3*s**2 - 1/6*s**5 - i*s**4 + 2*s + 1/18*s**3 + 0. Factor z(b).
-(b + 1)*(2*b + 1)*(5*b - 2)/3
Let u be (-3)/(-90) + (0 - 0). Let x(m) be the second derivative of 0 + 0*m**3 - 1/5*m**2 + u*m**4 - 2*m. Suppose x(w) = 0. What is w?
-1, 1
Let t(k) = 3*k**2 + 0 - 1 - 2*k**2. Let u be t(2). Suppose 24*o**4 + 18*o**u - 3*o**5 + 0 + 0 + 4*o**2 + 13*o**5 = 0. What is o?
-1, -2/5, 0
Suppose 3*g + g = -4. Let w(n) = -2*n - 2. Let c be w(g). Factor -1/2*s**5 + c*s**3 + s**2 + 1/2*s + 0 - s**4.
-s*(s - 1)*(s + 1)**3/2
Suppose -1/3 + 5/6*o**3 + 3/2*o - 2*o**2 = 0. What is o?
2/5, 1
Let g(a) = -a**2 + 3*a - 2. Let w be g(2). Let q = 1 - w. Suppose -7*d**2 + 0 + 10*d - 18*d**3 - q - 1 + d**2 = 0. What is d?
-1, 1/3
Let f(m) be the first derivative of -1/30*m**4 + 3 + 0*m + 1/15*m**2 + 0*m**3. Factor f(o).
-2*o*(o - 1)*(o + 1)/15
Let 3/7*x + 3/7*x**4 - 3/7*x**3 + 0 - 3/7*x**2 = 0. What is x?
-1, 0, 1
Let k(u) be the third derivative of u**6/900 - 2*u**5/225 - 5*u**2. Factor k(d).
2*d**2*(d - 4)/15
Suppose 0 = y + 13 - 15. Factor -2/3 + 1/3*k**y + 1/3*k.
(k - 1)*(k + 2)/3
Let n(q) be the first derivative of q**6/36 + q**5/15 + q**4/24 + 6. Solve n(j) = 0.
-1, 0
Let x(y) be the third derivative of -1/15*y**5 + 1/3*y**3 + 3*y**2 + 0*y - 2/15*y**6 + 0 + 1/3*y**4 + 1/42*y**8 + 1/105*y**7. Determine r, given that x(r) = 0.
-1, -1/4, 1
Let b(p) be the second derivative of -p**5/60 + p**3/6 - p**2 - 3*p. Let f(z) be the first derivative of b(z). Suppose f(v) = 0. What is v?
-1, 1
Suppose 0*h + h = -3*a - 6, -4*a - 6 = 2*h. Let p be (-29)/(-5) + -2 - h. Determine q so that -2/5 + 2/5*q**4 + 4/5*q**3 - p*q + 0*q**2 = 0.
-1, 1
Let w(j) = -2*j**5 - 13*j**4 - 11*j**3 - 13. Let h(i) = -i**5 - 6*i**4 - 5*i**3 - 6. Let s(q) = -13*h(q) + 6*w(q). Let s(n) = 0. What is n?
-1, 0, 1
Let c be 1 + (-6)/(-4) + -2. Let m be (27/36)/((-3)/(-2)). Find k, given that m - k + c*k**2 = 0.
1
Determine q so that 3/4*q**3 + 0*q + 0 - 3/2*q**2 = 0.
0, 2
Let u(j) = -j**5 - 3*j**4 + 6*j**3 + 4*j**2 - 5*j - 5. Let b(q) = 9*q**5 + 30*q**4 - 60*q**3 - 39*q**2 + 51*q + 51. Let a(m) = -2*b(m) - 21*u(m). Factor a(i).
3*(i - 1)**2*(i + 1)**3
Let q(h) be the third derivative of -h**8/5600 - h**7/3150 + h**6/1800 - 5*h**4/24 + 6*h**2. Let p(r) be the second derivative of q(r). Factor p(y).
-2*y*(y + 1)*(3*y - 1)/5
Find j such that -2/3*j**4 + 4*j - 16/3*j**2 + 6 - 4*j**3 = 0.
-3, -1, 1
Let o = 363 + -361. Let 2/7 - 2/7*c**o + 0*c = 0. What is c?
-1, 1
Let r(u) = -u + 5. Let i be (0 + -2 + 2)/(-2). Let o be r(i). Suppose -n**3 + o*n**2 - 6*n**2 + 0*n**3 = 0. What is n?
-1, 0
Suppose -4/5 + 4/5*k**2 - 2/5*k + 2/5*k**3 = 0. Calculate k.
-2, -1, 1
Let l(u) = u**2 + 5*u - 3. Let j be l(-6). Suppose -j*r = -r - 22. Solve 27 - 2*v**3 + 24*v - r + 12*v**2 + 4*v**3 = 0.
-2
Let y(v) be the first derivative of v**6/18 - v**4/3 - 2*v**3/9 + v**2/2 + 2*v/3 + 8. Solve y(u) = 0 for u.
-1, 1, 2
Let k(t) be the first derivative of 2*t**5/55 + t**4/11 - 2*t**3/33 - 2*t**2/11 - 16. Factor k(r).
2*r*(r - 1)*(r + 1)*(r + 2)/11
Let r(i) be the third derivative of -i**10/151200 - i**9/30240 - i**5/10 + 5*i**2. Let g(l) be the third derivative of r(l). Factor g(q).
-q**3*(q + 2)
Let i(l) be the third derivative of -l**6/300 + 2*l**5/75 - l**4/15 + 6*l**2. Factor i(m).
-2*m*(m - 2)**2/5
Let m(y) be the third derivative of y**7/840 - y**5/40 - y**4/12 - y**3/8 - 24*y**2. Suppose m(w) = 0. Calculate w.
-1, 3
Let x(v) = -9*v**5 + 5*v**4 + 15*v**3 - v**2 - 6*v - 4. Let t(j) = -10*j**5 + 5*j**4 + 15*j**3 - 5*j - 5. Let g(d) = 4*t(d) - 5*x(d). Factor g(c).
5*c*(c - 2)*(c - 1)*(c + 1)**2
Suppose 7*h = 6*h - 9. Let f(t) = -2*t**3 + t**2 + 7*t + 4. Let d(r) = 3*r**3 - 3*r**2 - 15*r - 9. Let n(v) = h*f(v) - 4*d(v). Factor n(m).
3*m*(m + 1)*(2*m - 1)
Let u(c) be the second derivative of -361*c**5/130 - 38*c**4/39 - 4*c**3/39 + 4*c. Factor u(y).
-2*y*(19*y + 2)**2/13
Suppose 3*w + 6 = -2*c, -3*w + 8 = -4*c - 8*w. Let n(i) be the first derivative of -1 + 1/9*i**c + 0*i - 1/6*i**2. Factor n(r).
r*(r - 1)/3
Suppose -2*c + 8 = -2*l, -3*l = 5*c - 2*c - 12. Solve 0*i + 178/5*i**2 - 160*i**c + 0*i**3 - 8/5 = 0.
-2/5, -1/4, 1/4, 2/5
Suppose -5*y = -0*y - 30. Let h = -3 + y. Find n such that -h*n**2 + 5*n**2 - n + 5*n + 2 = 0.
-1
Let v(c) be the third derivative of -1/18*c**3 + 1/60*c**5 - 3*c**2 - 1/36*c**4 + 0 + 0*c. Factor v(b).
(b - 1)*(3*b + 1)/3
Factor -12*v**2 - 6*v + 18*v**2 - 4*v**2.
2*v*(v - 3)
Suppose 0 = 215*a - 228*a. Determine f, given that 1/5*f**2 + 1/5*f**4 + a + 2/5*f**3 + 0*f = 0.
-1, 0
Let t be (-1)/(-6) + (-133)/42. Let m = t + 3. Find b, given that -4*b**3 + 1 + m*b + 3*b + b**4 + 6*b**2 - 4*b - 3*b = 0.
1
Suppose 0*o + 1/7*o**2 - 1/7 = 0. What is o?
-1, 1
Let z(q) be the second derivative of -q**5/10 - 2*q**4/3 + q**3/3 + 4*q**2 + 19*q. Factor z(l).
-2*(l - 1)*(l + 1)*(l + 4)
Let g(r) be the first derivative of -3*r**4/8 + 3*r**2/4 + 5. Find i such that g(i) = 0.
-1, 0, 1
Let z be 7/((-98)/8) + (-50)/(-14). Let v(x) be the second derivative of 2/3*x**z + 0 + 1/4*x**4 - x - 2*x**2. Factor v(u).
(u + 2)*(3*u - 2)
Let g(r) be the third derivative of -r**5/150 - r**4/60 - 3*r**2. Determine o, given that g(o) = 0.
-1, 0
Let c be 6/4*8/6. Determine z, given that 19*z**3 + 6*z**4 - 30*z**c - 36*z - 59*z**3 + 108*z**2 = 0.
0, 2/3, 3
Let m(a) be the first derivative of 2*a**3/39 - a**2/13 + 11. Factor m(c).
2*c*(c - 1)/13
Let o be 1 + 2 + (-2)/2. Let v(k) be the second derivative of 0*k**6 - 1/15*k**5 + 0 + 0*k**4 + 0*k**o + k + 1/63*k**7 + 1/9*k**3. Factor v(s).
2*s*(s - 1)**2*(s + 1)**2/3
Let l(h) be the second derivative of -h**6/1620 + h**5/90 - h**4/12 + 2*h**3/3 + h. Let g(c) be the second derivative of l(c). Factor g(f).
-2*(f - 3)**2/9
Let t(i) be the second derivative of i**7/84 - i**6/90 - 3*i**5/40 + i**3/9 - 18*i. Suppose t(g) = 0. Calculate g.
-1, 0, 2/3, 2
Let q be 183/15 - (-3)/(-15). Factor 20*b**3 + q*b**4 + 21*b + 8*b**2 - 21*b.
4*b**2*(b + 1)*(3*b + 2)
Let p(h) be the second derivative of -1/10*h**5 + 0 + 0*h**4 + 0*h**2 + 1/3*h**3 - 10*h. Solve p(g) = 0 for g.
-1, 0, 1
Let y(u) be the third derivative of 0*u + 0 + 0*u**6 + 1/300*u**5 - 1/350*u**7 + 0*u**3 - 2*u**2 + 1/840*u**8 + 0*u**4. Determine h, given that y(h) = 0.
-1/2, 0, 1
Factor 2*h + 