 0*x**2 = 0.
-1/4, 0
Let p(c) be the third derivative of -c**7/280 + c**6/160 + 10*c**2. Solve p(a) = 0.
0, 1
Let x(s) be the second derivative of s**7/42 + s**6/30 - 3*s**5/20 - s**4/12 + s**3/3 - s + 14. Let x(q) = 0. Calculate q.
-2, -1, 0, 1
Let p(d) = d**4 - 5*d**3 + 3*d**2 + 2*d - 7. Let s(c) = 3*c**4 - 19*c**3 + 13*c**2 + 8*c - 27. Let t(l) = -22*p(l) + 6*s(l). Suppose t(z) = 0. What is z?
-2, -1, 1
Factor -2/3*m**2 + 2/3*m + 4/3.
-2*(m - 2)*(m + 1)/3
Factor 7/3*n**4 + 2/3*n**3 + 0*n + 0 + 0*n**2.
n**3*(7*n + 2)/3
Let q(r) be the second derivative of r**4/66 + r**3/33 - r. Factor q(v).
2*v*(v + 1)/11
Let g(j) be the second derivative of j**4/60 - j**3/15 + j**2/10 + 11*j. Find u such that g(u) = 0.
1
Let r(b) = 13*b**3 - 9*b**2 + 9*b + 7. Let g(d) = 6*d**3 - 5*d**2 + 4*d + 3. Let s(f) = 15*g(f) - 6*r(f). Factor s(l).
3*(l - 1)**2*(4*l + 1)
Let x(i) be the third derivative of 0*i + 0 + 0*i**6 - 1/60*i**5 + 1/210*i**7 - 4*i**2 + 0*i**4 + 0*i**3. Find j, given that x(j) = 0.
-1, 0, 1
Let c = -283/14 + 41/2. Suppose 0*a + 6/7*a**4 - c*a**2 + 0 - 4/7*a**3 = 0. What is a?
-1/3, 0, 1
Let m be (-10)/(-27)*21/5. Factor -4/9*i**2 - 2/9*i + m*i**3 - 8/9*i**4 + 0.
-2*i*(i - 1)**2*(4*i + 1)/9
Suppose p - 2*c - 2 = 3*c, 5*c - 10 = -5*p. Solve 2/13 + 4/13*w + 2/13*w**p = 0 for w.
-1
Let m be -3*(-16)/12 + -2. Solve -8/5*z**3 - 4/5*z + 2/5*z**4 + m*z**2 + 0 = 0 for z.
0, 1, 2
Let l be 2/(0 - -1) - -1. Factor -h - 5*h**3 - h - l*h**4 - 10*h**3 - 24*h**2 - 10*h.
-3*h*(h + 1)*(h + 2)**2
Let u(m) be the third derivative of m**5/15 - 2*m**3/3 + 14*m**2. Suppose u(d) = 0. Calculate d.
-1, 1
Let q(g) be the first derivative of 1/3*g**3 + 1/6*g**4 + 0*g + 1/30*g**5 + 1/2*g**2 - 2. Let b(a) be the second derivative of q(a). Factor b(x).
2*(x + 1)**2
Let f(d) be the third derivative of 64*d**7/315 - 4*d**6/9 - 14*d**5/15 - 23*d**4/36 - 2*d**3/9 + 11*d**2. Let f(n) = 0. What is n?
-1/4, 2
Let b = -17 + 19. Factor y**3 + 0 + 1/3*y**5 + 0*y - y**4 - 1/3*y**b.
y**2*(y - 1)**3/3
Let i(p) = -2*p**2 - 6. Let j be i(-5). Let r be ((-4)/(-10))/(j/(-35)). Factor 0 - 1/4*a**2 + r*a.
-a*(a - 1)/4
Let b(l) be the third derivative of -l**6/40 - l**5/20 + 2*l**2. Let b(t) = 0. What is t?
-1, 0
Let f(a) be the second derivative of -a**4/6 + a**3/3 - 7*a. Determine n, given that f(n) = 0.
0, 1
Let a(n) be the first derivative of -2/7*n**4 + 3 + 0*n**2 + 4/21*n**6 + 2/35*n**5 + 0*n - 2/21*n**3. Solve a(b) = 0 for b.
-1, -1/4, 0, 1
Let j(r) be the third derivative of -r**6/120 - 7*r**5/60 - 5*r**4/24 + r**3 - 2*r**2. Let d be j(-6). Factor 1/3*m**3 + 1/3*m - 2/3*m**2 + d.
m*(m - 1)**2/3
Solve 12/5*m**3 - 2/5*m**5 - 16/5*m + 0 + 2/5*m**4 - 8/5*m**2 = 0 for m.
-2, -1, 0, 2
Suppose -n - 4*o = -1 - 13, -55 = 5*n - 5*o. Let v be n/(-4 - -3) - 3. Factor 2*j**2 + 2/7 - 10/7*j - 6/7*j**v.
-2*(j - 1)**2*(3*j - 1)/7
Suppose -3*m = -4*d - 19, -33 = -4*m + 3*d - 10. Suppose m*j + 2*b = 17, -b = -j - 4 + 13. Factor 0 + 0*t + 0*t**2 - 1/2*t**j + t**4 - 1/2*t**3.
-t**3*(t - 1)**2/2
Let x(v) = 7*v - 10. Let y be x(-4). Let l be y/95 - (-22)/30. Factor 0 + l*r + 1/3*r**2.
r*(r + 1)/3
Let f(i) = i + 1. Let x(z) = 27*z**2 - 15*z. Let h(s) = -6*f(s) + x(s). Factor h(u).
3*(u - 1)*(9*u + 2)
Let t be (-11)/(-3) - 4/(-12). Let c(g) be the second derivative of -1/30*g**5 - 2*g + 0 + 0*g**2 + 1/9*g**3 + 0*g**t. Suppose c(s) = 0. What is s?
-1, 0, 1
Let a(f) = -2*f**3 - f**2 + 2*f + 2. Let i be a(-1). Let x(l) be the first derivative of 4/9*l**3 + 0*l + 1/6*l**4 - i + 1/3*l**2. Factor x(b).
2*b*(b + 1)**2/3
Let i(t) = t**5 - t**4 - t**2 + t - 1. Let z(m) = 22*m**5 - 54*m**4 + 16*m**3 + 14*m**2 + 2*m - 2. Let q(u) = 2*i(u) - z(u). Determine x so that q(x) = 0.
-2/5, 0, 1, 2
Let w(t) be the third derivative of -t**8/168 + t**6/15 + t**5/15 - t**4/4 - 2*t**3/3 + 9*t**2. Suppose w(s) = 0. What is s?
-1, 1, 2
Let m be (-4)/28*(-5 - 5). Factor -8/7 + 2/7*d**3 + 16/7*d - m*d**2.
2*(d - 2)**2*(d - 1)/7
Let a = 9 + -4. Suppose -a*i = -1 - 19. Factor -14*j**i + 19*j**3 - 4*j + j**3 + 4*j**3 - 6*j**2.
-2*j*(j - 1)**2*(7*j + 2)
Suppose 49*r = 43*r + 18. Find c, given that 0 + 0*c + 1/4*c**r - 1/4*c**2 = 0.
0, 1
Let q = 13 + -10. Suppose b = 4*j - 2*j + 2, -q*b - 2*j = -14. Let 0*v**2 + 1/2 - v**3 + v - 1/2*v**b = 0. Calculate v.
-1, 1
Suppose 4*c = -8 - 16. Let w = 10 + c. Find t such that -2*t**3 - 5*t - 2*t + w*t**2 + 5*t = 0.
0, 1
Suppose 46/11*u**2 + 2/11*u**5 - 72/11 + 18/11*u**4 - 48/11*u + 54/11*u**3 = 0. Calculate u.
-3, -2, 1
Let f(o) be the first derivative of 3*o**6/2 + 38*o**5/5 + 53*o**4/4 + 28*o**3/3 + 2*o**2 + 7. Determine m so that f(m) = 0.
-2, -1, -2/9, 0
Let l(a) be the second derivative of -a**4/12 + a**2/2 - 14*a. Factor l(p).
-(p - 1)*(p + 1)
Let x(l) = -6*l**4 - l**3 + 13*l**2 - 13*l - 7. Let i(a) = -2*a**4 + 4*a**2 - 4*a - 2. Let v(c) = -7*i(c) + 2*x(c). Factor v(u).
2*u*(u - 1)**2*(u + 1)
Find o such that -3*o**3 + 0 - 3/2*o + 15/4*o**2 + 3/4*o**4 = 0.
0, 1, 2
Let l = -2 + -8. Let z = -10 - l. Suppose q**2 - 7*q + 9*q - q**3 + z*q**2 = 0. Calculate q.
-1, 0, 2
Let t be -3 - (-2*(-188)/(-72) - -2). Solve 2/9*f - 2/9 - 2/9*f**3 + t*f**2 = 0 for f.
-1, 1
Let d = -64/5 - -773/60. Let h(w) be the third derivative of -1/60*w**5 + d*w**4 + 0 + 3*w**2 + 0*w - 1/6*w**3. Find v, given that h(v) = 0.
1
Let v = 11 + -7. Let h(o) be the third derivative of 0*o - 2*o**2 + 1/24*o**v + 0 + 0*o**3 + 1/60*o**5. Solve h(g) = 0 for g.
-1, 0
Let -2/3 - 50/3*n**2 + 20/3*n = 0. Calculate n.
1/5
Let k(p) be the third derivative of p**7/20 - 41*p**6/180 + 2*p**5/5 - p**4/3 + p**3/6 - p**2. Let w(r) be the first derivative of k(r). Factor w(l).
2*(l - 1)*(3*l - 2)*(7*l - 2)
Let v = 167 + -1167/7. Let k(x) be the first derivative of -1 + v*x - 3/7*x**2 + 2/7*x**3 - 1/14*x**4. Factor k(g).
-2*(g - 1)**3/7
Suppose -6*n + 16 = -2*n. Suppose -t - 2*u = 0, t + n*t - 18 = -u. Let -2*q + 2*q**t - q**4 + q + 2*q - q**2 - q**3 = 0. Calculate q.
-1, 0, 1
Factor 30 + 26*z**2 + 24*z**2 - 55*z**2 - 5*z.
-5*(z - 2)*(z + 3)
Let a(q) = 5*q**5 - 20*q**4 + 41*q**3 - 41*q**2 + 19*q - 4. Let b(h) = -h**5 - h**3 + h**2 + h. Let y(l) = a(l) + b(l). Factor y(o).
4*(o - 1)**5
Let d = -53 - -57. Let z(g) be the third derivative of 3*g**2 + 0*g + 1/480*g**6 + 0*g**3 - 1/120*g**5 + 1/96*g**d + 0. Factor z(t).
t*(t - 1)**2/4
Let k(c) be the third derivative of 1/80*c**6 + 1/840*c**7 + 1/8*c**4 + 1/6*c**3 - 3*c**2 + 0 + 13/240*c**5 + 0*c. Determine p so that k(p) = 0.
-2, -1
Suppose 2*j - 4*j + 12 = 0. Determine y, given that -j*y - 14*y**2 - 2*y - 6*y**2 - 42*y**3 - 12*y**2 - 18*y**4 = 0.
-1, -2/3, 0
Suppose -5*w + 6 = -3*w. Factor 66*j**3 - 64*j**3 + 4*j**2 - w*j + 5*j.
2*j*(j + 1)**2
Let b(p) be the second derivative of -4*p**7/105 + p**6/5 - 13*p**5/30 + p**4/2 - p**3/3 + p**2 - 2*p. Let u(c) be the first derivative of b(c). Factor u(x).
-2*(x - 1)**2*(2*x - 1)**2
Let r(i) be the first derivative of 4/5*i**3 + 12/5*i**2 - 1 + 1/10*i**4 + 16/5*i. Let r(o) = 0. What is o?
-2
Let o(r) be the first derivative of -1/3*r**3 - 1 + 0*r**2 + 0*r + 3/8*r**4. Suppose o(d) = 0. What is d?
0, 2/3
Suppose -t + 2 = -0. Let n(l) = l + 2*l - 2*l. Let o(k) = -16*k**2 + 5*k + 1. Let y(z) = t*o(z) - 10*n(z). Factor y(i).
-2*(4*i - 1)*(4*i + 1)
Factor 0 + 4/3*v - 2/3*v**3 - 2/3*v**2.
-2*v*(v - 1)*(v + 2)/3
Let h(c) be the second derivative of c**5/300 - c**3/30 - c**2/2 - 2*c. Let g(o) be the first derivative of h(o). Solve g(j) = 0.
-1, 1
Let r(z) be the second derivative of -z**8/504 + 4*z**7/315 - z**6/36 + z**5/45 - 3*z**2/2 - 2*z. Let o(f) be the first derivative of r(f). Factor o(n).
-2*n**2*(n - 2)*(n - 1)**2/3
Let b(m) be the first derivative of -3/5*m**5 + 5 + m**4 + 0*m**2 + 0*m - 1/3*m**3. Factor b(h).
-h**2*(h - 1)*(3*h - 1)
Let o(a) be the first derivative of -a**4/2 + 4*a**3 - 12*a**2 + 16*a + 3. Solve o(n) = 0.
2
Let i(n) be the first derivative of -2/3*n + 1/9*n**3 + 1 - 1/6*n**2. Factor i(g).
(g - 2)*(g + 1)/3
Let p(o) = -5*o**3 + 15*o**2 - 21*o - 11. Let t(z) = z**3 - 3*z**2 + 4*z + 2. Let f be (1 + -12)*-1*1. Let w(y) = f*t(y) + 2*p(y). Find q, given that w(q) = 0.
0, 1, 2
Let o(l) be the third derivative of l**9/15120 + l**8/3360 + l**7/2520 - l**4/24 - l**2. Let q(r) be the second derivative of o(r). Factor q(m).
m**2*(m + 1)**2
Let p(g) =