Factor p(m).
-(m - 1)**3*(m + 1)**2/2
Let k(y) be the first derivative of y**4/42 + 2*y**3/21 + 2*y - 6. Let x(r) be the first derivative of k(r). Suppose x(o) = 0. Calculate o.
-2, 0
Let i(z) be the second derivative of z**4/30 + z**3/15 - 2*z. Factor i(g).
2*g*(g + 1)/5
Let s(v) = -4*v**5 - 13*v**4 + v + 11 + 2*v**5 + 13*v**2 + v**5. Let o(p) = p**4 - p**2 - 1. Let l be 1 - (2 + 0 + 21). Let j(n) = l*o(n) - 2*s(n). Factor j(u).
2*u*(u - 1)*(u + 1)**3
Suppose -k + 7 = 2*d, k - 7 - 6 = -5*d. Determine a so that -4/7*a - 2/7 - 2/7*a**d = 0.
-1
Suppose -2*z = 2*j + 2 + 2, -5*j + 30 = -5*z. Solve j*h**2 - 10*h**3 + 6*h**3 - 2*h**4 + 4*h**4 = 0 for h.
0, 1
Let x be ((-26)/(-6))/(12/36). Suppose 2*m + i - x = 2*i, 0 = -5*m - 3*i + 5. Factor 4/3*s**3 + 0 + 0*s + 1/3*s**m + 4/3*s**2.
s**2*(s + 2)**2/3
Let p(t) be the second derivative of t**5/190 + 2*t**4/57 + 5*t**3/57 + 2*t**2/19 - 4*t. Factor p(w).
2*(w + 1)**2*(w + 2)/19
Let a(d) be the second derivative of -5*d**7/42 + d**6/6 + d**5/2 - 5*d**4/6 - 5*d**3/6 + 5*d**2/2 + 4*d. Determine v so that a(v) = 0.
-1, 1
Let p(f) be the second derivative of -1/20*f**5 - 5*f + 0 + 5/6*f**3 + 3/2*f**2 + 1/12*f**4. Solve p(h) = 0.
-1, 3
Let o(v) = -v + 1. Let n(z) = z**2 + 2*z - 3. Suppose -r = -5*p - 20, 8*p - 4*p + 16 = -5*r. Let x(f) = p*o(f) - n(f). Solve x(s) = 0.
1
Let a(m) be the third derivative of -m**6/120 + 3*m**5/20 - 5*m**4/8 - 25*m**3/6 - 15*m**2. Factor a(i).
-(i - 5)**2*(i + 1)
Let u(a) be the second derivative of a**4/6 + 2*a**3 + 9*a**2 + 2*a. Determine o so that u(o) = 0.
-3
Let p(y) be the third derivative of y**7/35 - y**6/30 - 3*y**2. Solve p(l) = 0 for l.
0, 2/3
Let r = 8 + -4. Factor 6*f**2 - r*f + 2*f + 2*f**4 + 0*f**2 - 9*f**3 + 3*f**3.
2*f*(f - 1)**3
Factor -4*z + 0*z + 4*z**3 - 10*z + 12 - 6*z + 4*z**2.
4*(z - 1)**2*(z + 3)
Let l(d) be the third derivative of d**8/168 - 19*d**7/1050 + d**6/75 + d**5/300 + 9*d**2. Find h such that l(h) = 0.
-1/10, 0, 1
Let g = -10 - -5. Let p be (-2)/20*(1 + g). Factor -2/5 + 2/5*i - 2/5*i**3 + p*i**2.
-2*(i - 1)**2*(i + 1)/5
Let y = -3316/7 - -475. Factor y - 6/7*f + 1/7*f**2.
(f - 3)**2/7
Factor -1/4*c + 1/4*c**3 - 1/2 + 1/2*c**2.
(c - 1)*(c + 1)*(c + 2)/4
Let n = 14 + -13. Let x(b) be the first derivative of 1/6*b**4 - 1/3*b**2 + 0*b - 2/9*b**3 + 2/15*b**5 - n. Suppose x(z) = 0. Calculate z.
-1, 0, 1
Suppose d + 1/2*d**2 + 0 = 0. What is d?
-2, 0
Factor -3/2 - 9*m**2 - 3/2*m**4 - 6*m**3 - 6*m.
-3*(m + 1)**4/2
Suppose -4*v - v - 3*t + 40 = 0, 20 = 3*v + t. Suppose 2*u - v = -1. Find i, given that -1/3*i + 0 + 2/3*i**u = 0.
0, 1/2
Let l(t) = -76*t**3 - 44*t**2 + 32*t + 32. Let u(v) = -7*v**3 - 4*v**2 + 3*v + 3. Let w(x) = 3*l(x) - 32*u(x). Factor w(z).
-4*z**2*(z + 1)
Let l(b) = -3*b**4 + 9*b**3 - 6*b**2 + 3*b. Let p(w) = -3*w**4 + 9*w**3 - 5*w**2 + 3*w. Let t(s) = 4*l(s) - 3*p(s). Suppose t(u) = 0. Calculate u.
0, 1
Let n be (207/(-230))/((-48)/20). Suppose -n*z - 3/8*z**2 + 3/4 = 0. Calculate z.
-2, 1
Let o(r) be the third derivative of 0*r**4 + 0 - 6*r**2 + 0*r + 0*r**3 + 0*r**5 + 1/600*r**6. Factor o(x).
x**3/5
Factor 2/7*r**3 - 2/7*r - 2/7 + 2/7*r**2.
2*(r - 1)*(r + 1)**2/7
Determine z, given that 22*z**4 - 10*z**2 + z**2 + 3*z**3 - 3*z - 19*z**4 + 6 = 0.
-2, -1, 1
Let q(o) = 6*o**4 - o**3 - o**2 + o + 5. Let k(f) = -5*f**4 + f**3 + f**2 - f - 4. Let u(h) = 3*h - 1. Let d be u(2). Let m(z) = d*k(z) + 4*q(z). Factor m(s).
-s*(s - 1)**2*(s + 1)
Let o = 49 + -145/3. Let a(q) be the second derivative of o*q**2 + 1/9*q**3 + 0 - 1/18*q**4 + q. Solve a(b) = 0 for b.
-1, 2
Let s(c) be the first derivative of c**8/56 - c**7/15 + c**6/12 - c**5/30 - c**2/2 + 2. Let f(l) be the second derivative of s(l). Factor f(t).
2*t**2*(t - 1)**2*(3*t - 1)
Let j(t) be the first derivative of -t**4/42 + 4*t**3/63 - t**2/21 - 8. Determine k so that j(k) = 0.
0, 1
Let v(b) be the second derivative of -b**8/2352 + b**7/2940 + b**6/504 - b**5/420 + b**3/3 + 2*b. Let x(t) be the second derivative of v(t). Factor x(j).
-j*(j - 1)*(j + 1)*(5*j - 2)/7
Let j(n) be the third derivative of -1/540*n**6 + 1/135*n**5 + 0*n - 1/108*n**4 + 0 + 0*n**3 - 3*n**2. Suppose j(u) = 0. What is u?
0, 1
Let r(q) be the third derivative of 0 + 0*q**4 - 1/600*q**6 + 0*q**3 + 2*q**2 + 0*q - 1/300*q**5. Suppose r(i) = 0. Calculate i.
-1, 0
Let i(b) = -b**3 - 7*b**2 + 7*b - 6. Let t be i(-8). Factor 1 - 3 + 5*x**2 - 2*x**3 + t*x - 3*x**2.
-2*(x - 1)**2*(x + 1)
Let u(i) be the second derivative of i**8/224 + 3*i**7/560 - i**6/120 + i**3/6 + i. Let m(o) be the second derivative of u(o). What is d in m(d) = 0?
-1, 0, 2/5
Let t(i) be the second derivative of -2*i**7/21 + i**6/6 - i**5/20 + 11*i. Find d, given that t(d) = 0.
0, 1/4, 1
Let y be (6/15)/(1/(-5)). Let x be (3 - 5)/(1/y). Factor -4*c**x + 3*c**4 + 3*c**3 + 0*c**4 + 2*c**4 + 2*c**2.
c**2*(c + 1)*(c + 2)
Let g(w) be the first derivative of w**3/30 - w/10 - 8. Determine z so that g(z) = 0.
-1, 1
Find n such that -72*n**2 - 59*n - 149*n + 18 + 283*n + 15*n**3 = 0.
-1/5, 2, 3
Let r(m) = m**3 - 1. Let p(a) = 2*a**3 + 4*a**2 - 5*a - 1. Let i(z) = -p(z) + 3*r(z). Factor i(s).
(s - 2)*(s - 1)**2
Let s be (-1)/270*-3*(3 - 2). Let x(o) be the third derivative of -3*o**2 - s*o**5 + 0*o**4 + 1/9*o**3 + 0*o + 0. Factor x(h).
-2*(h - 1)*(h + 1)/3
Suppose -3*u = -12, 3*u = -6*t + 3*t + 21. Let x(l) be the first derivative of -1/2*l - 3/8*l**2 - 1 - 1/12*l**t. Let x(r) = 0. What is r?
-2, -1
Let l(r) be the second derivative of r**10/15120 + r**9/3780 + r**8/3360 - r**4/6 + r. Let s(p) be the third derivative of l(p). Factor s(o).
2*o**3*(o + 1)**2
Let x(b) be the first derivative of -b**6/15 + b**4/6 - 3*b + 1. Let a(g) be the first derivative of x(g). Solve a(u) = 0.
-1, 0, 1
Determine i, given that -12/7*i**4 - 8/7*i - 2/7*i**5 - 24/7*i**2 + 0 - 26/7*i**3 = 0.
-2, -1, 0
Suppose 0 = 2*n - 2*y + 4, -3*n - 4*y + 0*y + 22 = 0. Factor 4*v**3 + 2*v - 11*v**n + 0*v + 5*v**2.
2*v*(v - 1)*(2*v - 1)
Factor 0*i**4 + 0*i**3 - i**3 - 20*i + i**4 + 21*i - i**2.
i*(i - 1)**2*(i + 1)
Let q(h) be the third derivative of -h**5/180 - h**4/18 + 10*h**2. Factor q(z).
-z*(z + 4)/3
Let v(u) be the first derivative of -3*u**4/4 + u**3 + 3*u**2/2 - 3*u - 4. Suppose v(o) = 0. Calculate o.
-1, 1
Let k(a) be the third derivative of -a**7/15120 + a**6/1440 - a**5/360 - a**4/6 + 2*a**2. Let h(g) be the second derivative of k(g). Factor h(w).
-(w - 2)*(w - 1)/6
Let q(b) be the first derivative of -b**4 + 4*b**3/3 + 4*b**2 - 10. Find l such that q(l) = 0.
-1, 0, 2
Let o(c) be the third derivative of 0*c**5 - 1/120*c**6 - 2*c**2 + 0 + 1/48*c**4 + 0*c**3 + 0*c + 0*c**7 + 1/672*c**8. Find p, given that o(p) = 0.
-1, 0, 1
Let p(t) = -t**3 + 3*t**2 + 5*t - 2. Let y be p(4). Factor -2/5*d**y - 2/5 + 4/5*d.
-2*(d - 1)**2/5
Let l(h) = -7*h**3 + 20*h**2 - 25*h + 8. Let f(j) = -15*j**3 + 40*j**2 - 50*j + 15. Let q(y) = 2*f(y) - 5*l(y). Factor q(d).
5*(d - 2)*(d - 1)**2
Factor 0*o + 2/5*o**2 - 2/5*o**3 - 4/5*o**4 + 0.
-2*o**2*(o + 1)*(2*o - 1)/5
Let f(x) be the second derivative of 1/2*x**3 - 1/1260*x**6 + 0 + 4*x + 1/140*x**5 - 1/42*x**4 + 0*x**2. Let n(a) be the second derivative of f(a). Factor n(l).
-2*(l - 2)*(l - 1)/7
Let c(h) be the first derivative of 9*h**5/10 + 3*h**4/4 + 12. Solve c(d) = 0 for d.
-2/3, 0
Let b(u) be the second derivative of 2*u + 1/42*u**7 + 0*u**3 + 0*u**4 - 1/20*u**5 + 0*u**2 + 0 + 0*u**6. Let b(y) = 0. Calculate y.
-1, 0, 1
Let u(g) be the first derivative of -1/20*g**5 - 3/16*g**4 - 1/4*g**2 - 7 + 0*g + 1/24*g**6 + 5/12*g**3. Let u(q) = 0. Calculate q.
-2, 0, 1
Let p(z) be the third derivative of z**8/1176 - z**7/147 + z**6/42 - z**5/21 + 5*z**4/84 - z**3/21 - 5*z**2. Suppose p(k) = 0. What is k?
1
Let x(f) = f**2 + 7*f + 6. Let g be x(-6). Let z = g - 0. Find t, given that 2/9*t + z - 2/9*t**2 = 0.
0, 1
Factor -r**3 + 0 - 1/4*r**4 - 5/4*r**2 - 1/2*r.
-r*(r + 1)**2*(r + 2)/4
Let p(l) be the first derivative of l**6/21 - 2*l**5/5 + 19*l**4/14 - 50*l**3/21 + 16*l**2/7 - 8*l/7 - 10. Solve p(f) = 0.
1, 2
Let n = 5/1791 - -958165/7164. Let k = n + -133. Determine l, given that 0 - 3/2*l**5 + 0*l - 15/4*l**4 - 3*l**3 - k*l**2 = 0.
-1, -1/2, 0
Factor 2/9*x**3 + 0*x**2 + 0 + 0*x.
2*x**3/9
Let s be ((-38)/228)/(-1*1/4). Factor 0*c - 2/3*c**2 + 2/3*c**4 + 2/3*c**3 + 0 - 