/5*m**4 + 2/5*m**5 + 2/5*m**2 + 0*m + 0 - 2/5*m**3.
2*m**2*(m - 1)**2*(m + 1)/5
Let x(g) = g**3 - 8*g**2 + g - 6. Let f be x(8). Suppose 6*c = f*c + 16. Factor 9*h + h**2 - 4*h**3 - 3*h**c - 4*h**2 + 6 - 5*h**3.
-3*(h - 1)*(h + 1)**2*(h + 2)
Let h(p) be the first derivative of -1/10*p**4 + 0*p**2 - 8/25*p**5 + 0*p**3 + 0*p - 5. Solve h(w) = 0.
-1/4, 0
Let y(c) be the second derivative of 0*c**2 + c + 2/3*c**3 - 1/100*c**5 + 1/30*c**4 + 1/900*c**6 + 0. Let i(q) be the second derivative of y(q). Factor i(k).
2*(k - 2)*(k - 1)/5
Find d such that 2*d**3 - 2/9*d**4 - 4/9*d - 2/3*d**5 + 0 - 2/3*d**2 = 0.
-2, -1/3, 0, 1
Let x = 7 - 5. Let k be 6/(-33) + 48/22. Determine z, given that 1/2*z - x*z**4 - 2*z**3 - 1 + 3*z**k + 3/2*z**5 = 0.
-1, -2/3, 1
Let r(y) = 12*y - 3*y**2 + 35 - 39 - 3*y**2. Let d(f) = f**3 + 23*f**2 - 49*f + 16. Let q(z) = 2*d(z) + 9*r(z). Let q(c) = 0. Calculate c.
1, 2
Factor 5 - 19 - 4*l**2 + 14 + 8*l.
-4*l*(l - 2)
Let z(h) be the third derivative of -h**8/6720 + h**6/720 + h**4/24 + 5*h**2. Let o(r) be the second derivative of z(r). What is j in o(j) = 0?
-1, 0, 1
Let g(n) = 4*n**3 + 2*n - 3. Let m be g(1). Let 0 + 2/5*s**2 - 1/5*s - 1/5*s**m = 0. Calculate s.
0, 1
Let f(r) be the first derivative of -4*r**3 - 40*r**2 + 28*r - 25. Factor f(z).
-4*(z + 7)*(3*z - 1)
Let w(q) be the third derivative of 1/2*q**4 - 7/40*q**6 + 0*q + 0 - 4*q**2 + 0*q**3 + 3/5*q**5. Factor w(j).
-3*j*(j - 2)*(7*j + 2)
Let v be (-124)/(-102) + (-12)/(-102). Find n, given that 1/3*n**3 - v*n**2 + 4/3*n + 0 = 0.
0, 2
Let r = 9541/45 + -959/5. Let g = -20 + r. Factor -10/9*l**2 + 2/3*l**3 + 2/9*l + g.
2*(l - 1)**2*(3*l + 1)/9
Let c(l) = l + 31. Let z be c(-31). Let n(a) be the second derivative of z*a**2 - 1/6*a**4 + 2/3*a**3 + 3*a + 0 - 1/5*a**5 + 1/15*a**6. Solve n(i) = 0 for i.
-1, 0, 1, 2
Let u(h) = -h**2 + 14*h + 32. Let w be u(-2). Suppose 4/3*m - 2/3*m**2 + w = 0. What is m?
0, 2
Let o(f) be the second derivative of f**7/168 - f**5/20 + f**4/24 + f**3/8 - f**2/4 - 10*f. Find q such that o(q) = 0.
-2, -1, 1
Let r be 5/15 + (-58)/(-6). Let u = r + -5. Factor -12*z**3 + 0 + 0 + 60*z**3 - 75*z**u + 12*z**2 + 15*z**4.
-3*z**2*(z - 1)*(5*z + 2)**2
Factor 0*l - 1/4*l**2 + 1/4*l**4 + 0 + 1/4*l**5 - 1/4*l**3.
l**2*(l - 1)*(l + 1)**2/4
Factor -3*g**2 - 4*g**3 - g + g**3 - 2*g**3 - g**4 + 2*g**3.
-g*(g + 1)**3
Let l(n) be the second derivative of -n**5/30 + n**4/18 + 2*n**3/9 - 17*n. Factor l(m).
-2*m*(m - 2)*(m + 1)/3
Suppose 0 = 3*q + 12 - 18. Find i, given that -i**q - 1/5*i + 1/5 - 3/5*i**3 = 0.
-1, 1/3
Let u(n) = -n**3 + n**2 - 1. Let k be u(-4). Let o = -549/7 + k. Factor 2/7*z**2 - o + 2/7*z.
2*(z - 1)*(z + 2)/7
Find w, given that 0 - 4/13*w**4 + 0*w + 0*w**2 + 2/13*w**5 + 2/13*w**3 = 0.
0, 1
Let s(u) be the first derivative of -2*u**5/5 + 2*u**3 - 2*u**2 - 1. Find q such that s(q) = 0.
-2, 0, 1
Let w = 1303/2 - 647. Let -w*q**2 + 0 + 3*q + 3/2*q**3 = 0. What is q?
0, 1, 2
Let w = 23 + -13. Suppose 4*u - 9*u + w = 0. Find k, given that -1/2 + 1/2*k - 1/2*k**3 + 1/2*k**u = 0.
-1, 1
Let n(s) = 3*s**2 - 6*s. Let l(z) = 162*z**2 - z + 8*z - 166*z**2. Suppose -7*i + 20 = -2*i. Let t(v) = i*l(v) + 5*n(v). Factor t(c).
-c*(c + 2)
Let n be 2 + -2 - -1*6. Suppose 4*f - 2*v - 8 = 0, -n - 2 = 2*v. Factor -3/4*d**3 + f*d + 0 + 1/4*d**2.
-d**2*(3*d - 1)/4
Let l be 1*8*(-11)/(-44). Let a(q) be the third derivative of -2*q**l - 2/15*q**3 + 1/150*q**5 + 0*q + 1/60*q**4 + 0. Factor a(d).
2*(d - 1)*(d + 2)/5
Let z(v) = -4*v**2 - 2*v + 5. Let j(o) = -3*o**2 - 2*o + 4. Let l(u) = 5*j(u) - 4*z(u). Solve l(q) = 0 for q.
0, 2
Suppose 6*u = 4*q + 4*u + 2, 0 = 5*q - 3*u + 5. Suppose -l**q + 0*l**2 + 5*l + 0*l - 4*l = 0. What is l?
0, 1
Let f = 3 + 0. Let b be ((-10)/f - -3) + 1. Factor -4/9 - b*o**2 + 10/9*o.
-2*(o - 1)*(3*o - 2)/9
Let z(j) be the first derivative of -j**3/15 - 4*j**2/5 - 16*j/5 + 12. Determine v so that z(v) = 0.
-4
Let z(p) be the third derivative of 2/5*p**5 - 3*p**2 + 1/30*p**6 + 3/2*p**4 + 0*p + 0 + 0*p**3. Solve z(m) = 0.
-3, 0
Let l(u) be the first derivative of 21*u**4/16 + 15*u**3/2 + 27*u**2/2 + 6*u - 4. Factor l(n).
3*(n + 2)**2*(7*n + 2)/4
Suppose 4*w - m = 2*w - 12, 0 = 2*m. Let q be -1 - (-5)/((-10)/w). Factor 0 - 2/3*z**q + 4/3*z.
-2*z*(z - 2)/3
Let i = -13 + 16. Suppose 1/2*n**4 + 0*n**2 + 0*n + 0 - 1/2*n**i = 0. Calculate n.
0, 1
Let q be 2 - (0 - 4/4). Suppose 4*r**4 + 4*r**q + 4*r**4 - 4*r**4 = 0. What is r?
-1, 0
Suppose -2*f = -3*f - 3. Let s be ((-1 - f) + 2)/7. Factor -2/7*n**2 - 2/7 - s*n.
-2*(n + 1)**2/7
Let i(k) = -k**2 - k + 14. Let y be i(0). Find x, given that 5*x**2 + 8 + 5*x**3 - 2*x**3 + 4 - y*x**2 = 0.
-1, 2
Let i = 13 + -9. Let s be (0 + 1)/(2/i). Factor 2*g**2 + 0*g**s - 2 - 2*g - 2.
2*(g - 2)*(g + 1)
Let g(t) be the third derivative of t**8/672 + t**7/210 - t**6/120 - t**5/15 - 7*t**4/48 - t**3/6 - 2*t**2. Find q, given that g(q) = 0.
-1, 2
Let g(l) = -11*l**4 - l**3 + l**2 + 11*l + 5. Let t(f) = 3 + 2*f**2 - 5*f**4 - f**2 + 5*f - f**3 - 1 + 0*f**3. Let h(q) = 2*g(q) - 5*t(q). Factor h(b).
3*b*(b - 1)*(b + 1)**2
Let r be (3 - (-82)/(-36)) + 1/(-2). Suppose -r*z**2 + 0 - 2/9*z = 0. Calculate z.
-1, 0
Let v be (16/4)/((2 - 2) + 2). Factor 2/9*h**2 + v - 4/3*h.
2*(h - 3)**2/9
Let j(f) be the first derivative of 0*f**4 + 0*f + 2/33*f**6 + 0*f**2 + 2 - 6/55*f**5 + 2/33*f**3. Find y, given that j(y) = 0.
-1/2, 0, 1
What is b in -3*b**3 + 6*b**3 - 44*b**2 + 50*b**2 = 0?
-2, 0
Let j = 9 + -6. Suppose 6*n = 2*n + 8. Factor 2*i**2 + n*i**j - 2*i**4 - 10*i**5 + 0*i**4 + 8*i**5.
-2*i**2*(i - 1)*(i + 1)**2
Let q(w) be the third derivative of -1/60*w**5 + 0 + 2*w**2 + 0*w**4 - 2/105*w**7 - 1/30*w**6 + 0*w**3 + 0*w. Factor q(t).
-t**2*(2*t + 1)**2
Let n(c) be the first derivative of -c**5/100 + c**4/60 + 6*c + 7. Let y(z) be the first derivative of n(z). Suppose y(r) = 0. Calculate r.
0, 1
Let w(c) = -c + 1. Let n(t) = -t**3 - 3*t**2 + 3*t - 7. Let x(p) = -n(p) - 6*w(p). Let x(s) = 0. Calculate s.
-1
Factor v**5 + 3*v**5 + v**4 + 5*v**4 + 4*v**3 - 2*v**5.
2*v**3*(v + 1)*(v + 2)
Let a(r) be the first derivative of 0*r**5 - 1/360*r**6 - r**2 + 1/630*r**7 - 2 + 0*r + 0*r**3 + 0*r**4. Let k(z) be the second derivative of a(z). Factor k(x).
x**3*(x - 1)/3
Let g(t) = -t**3 + 5*t**2 - 2*t - 2. Suppose -v - 3*c - 9 = 0, 0 = 2*v - 4*c + 8. Let a(l) = l - 1. Let y(b) = v*a(b) + g(b). Factor y(k).
-(k - 2)**2*(k - 1)
Let v = 842/7 - 120. Suppose -2/7*o**2 + 0 + v*o = 0. What is o?
0, 1
Factor 12*j**4 - 22*j**4 + 2 - 8*j**3 + 12*j**2 + 12*j**4 - 8*j.
2*(j - 1)**4
Let u(l) be the third derivative of -l**8/3360 + l**7/840 - l**6/720 + l**3/2 + 3*l**2. Let h(b) be the first derivative of u(b). Factor h(r).
-r**2*(r - 1)**2/2
Let i = -2/547 - -15867/1094. Let c = -14 + i. Factor -3/4*q**2 + 0 + c*q + 1/4*q**4 + 0*q**3.
q*(q - 1)**2*(q + 2)/4
Let w(v) be the first derivative of v**8/1260 - v**7/1260 - v**6/540 - v**3 - 3. Let k(u) be the third derivative of w(u). Determine m, given that k(m) = 0.
-1/2, 0, 1
Let d(j) = -j**3 - 14*j**2 - 48*j - 66. Let k(m) = m**3 + 15*m**2 + 48*m + 67. Suppose 6*v - v = 15. Let l(b) = v*d(b) + 2*k(b). Factor l(o).
-(o + 4)**3
Let t(g) be the first derivative of 0*g**4 + 1 + 0*g + 0*g**3 + 1/270*g**5 + 1/2*g**2. Let n(c) be the second derivative of t(c). Solve n(w) = 0.
0
Let a(n) be the first derivative of -n**6/18 + 2*n**5/15 + n**4/12 - 2*n**3/9 + 2. Suppose a(g) = 0. Calculate g.
-1, 0, 1, 2
Solve -3/2 - 7/2*u - 1/2*u**3 - 5/2*u**2 = 0 for u.
-3, -1
Let o be 2*(9/2)/3. Let x be ((-3)/o)/((-2)/4). Solve -2/5 - 2/5*r**3 + 2/5*r + 2/5*r**x = 0.
-1, 1
Let z(n) = n + 15. Let l be z(-11). Suppose 0 = l*a + 2*y - 4, -5*a + 0 + 4 = 2*y. Factor a - 5/3*h**2 - h**3 - 2/3*h.
-h*(h + 1)*(3*h + 2)/3
Factor -4*w - 4*w**2 + w**2 + 9*w - 2*w**2 + 10.
-5*(w - 2)*(w + 1)
Let h(o) = o**3 + 18*o**2 - 41*o - 16. Let y be h(-20). Suppose 0*m + 2/3*m**5 + 0*m**2 + 2/3*m**y + 0 + 0*m**3 = 0. What is m?
-1, 0
Let c(l) = -5*l**3 + 4*l**2 - l - 4. Let v(k) = k**4 - 6*k**3 + 4*k**2 - 2*k - 5. Suppose 2*o = -5 - 1. Let i(w) = o*v(w) + 4*c(w). Factor i(s).
-(s - 1)*(s + 1)**2*(3*s - 1)
Let b(w) = 2*w**2 - 2*w + 2. Let r(o) = 1. Let n(y) = 2. Let h(v) = -3*n(v) + 5*r(v). Let f(k) = -b(k) - 2*h(k). Suppose f(p) = 0. Calculate p.
0, 1
Determine a, g