 + 0 - 2/3*t.
-t*(t - 2)*(t - 1)/3
Let 1/3*g**4 - 1/6*g**5 - 1/3*g**2 + 1/6*g**3 + 0*g + 0 = 0. Calculate g.
-1, 0, 1, 2
Let z(h) be the first derivative of 2*h**3/45 - 2*h**2/15 - 2*h/5 + 6. Factor z(v).
2*(v - 3)*(v + 1)/15
Let a(d) be the third derivative of 0*d + 1/420*d**6 + 0 + 0*d**5 - 1/735*d**7 + 0*d**4 - 3*d**2 + 0*d**3. Factor a(c).
-2*c**3*(c - 1)/7
Let m(f) = -f**5 - f**4 + f + 1. Let b(r) = -4*r**5 - 5*r**4 - r**3 + 3*r + 3. Let x(z) = -b(z) + 3*m(z). Solve x(j) = 0.
-1, 0
Let k = 2 - 0. Let d be (k/4)/(2/12). What is j in 4*j**2 - j**3 - j**2 - 2*j + 0*j**d = 0?
0, 1, 2
Let c(o) be the second derivative of -o**7/14 + 3*o**6/5 - 9*o**5/5 + 2*o**4 - o + 6. Determine y, given that c(y) = 0.
0, 2
Let f(q) = q**3 + 21*q**2 - 51*q + 32. Let k(j) = 20*j**2 - 50*j + 32. Let g(y) = 4*f(y) - 6*k(y). Suppose g(n) = 0. Calculate n.
1, 4
Let i(p) be the first derivative of 64*p**3/3 + 15*p**2 + 3*p + 3. Let b(r) = 21*r**2 + 10*r + 1. Let k(y) = 11*b(y) - 4*i(y). Suppose k(w) = 0. Calculate w.
-1/5
Suppose 22*d = 60 - 16. Factor -6/11*j**5 - 4*j**3 - 2/11 - 26/11*j**4 - 36/11*j**d - 14/11*j.
-2*(j + 1)**4*(3*j + 1)/11
Suppose -o = -6 + 3. Suppose -2*r + v + 12 = 0, 8 + 24 = 5*r - 3*v. Factor 3*q**3 + q - 1 - o*q**2 + 1 - q**r.
-q*(q - 1)**3
Let i(u) be the first derivative of 2*u**5/75 + u**4/15 - 2*u**3/45 - 2*u**2/15 + 9. Let i(z) = 0. What is z?
-2, -1, 0, 1
Let i(g) be the first derivative of -9 - 4*g**5 + 0*g - 8/3*g**3 - 7*g**4 + 0*g**2. Determine x, given that i(x) = 0.
-1, -2/5, 0
Determine a, given that -8/3 - 22/3*a**2 - 16*a = 0.
-2, -2/11
Let a(r) = r**3 - r. Let d(c) = 3*c**3 + 12*c**2 + 9*c. Let n(h) = -6*a(h) + d(h). Determine y so that n(y) = 0.
-1, 0, 5
Let y(j) = j**3 + j**2 - j + 12. Let o be y(0). Let v = 14 - o. Factor -2/5*x - 1/5*x**v - 1/5.
-(x + 1)**2/5
Let g(w) = -w - 4. Let s be (9/(-4))/(9/24). Let m be g(s). Let 0*r**2 - 6 - 3*r**m + 18*r - 21 = 0. Calculate r.
3
Let s(p) = -p**2 - 9*p - 10. Let q be s(-7). Suppose u**5 + q*u**3 - 2*u**3 - 3*u**3 = 0. Calculate u.
-1, 0, 1
Let k = 2 - 0. Let w be ((-40)/14)/k - -2. Factor -2/7*d**3 + 0*d - w*d**2 + 0.
-2*d**2*(d + 2)/7
Let p(f) = -f - 8. Let o be p(-10). Let w(b) be the second derivative of b - 3/100*b**5 - 1/150*b**6 + 0 - 1/20*b**4 - 1/30*b**3 + 0*b**o. Solve w(z) = 0.
-1, 0
Let z(h) = h**2 + 7*h - 4. Let w be z(-8). Let f(i) = 2*i - 3. Let s be f(4). Let 0*k - 18*k**w + 0*k + 18*k**s - 4*k**5 + 4*k**3 = 0. What is k?
0, 2/7, 1
Let y be (-1 + -1)/((-48)/6). Let 3/4*v - 1/2 - y*v**2 = 0. What is v?
1, 2
Let f(x) be the first derivative of -x**6/24 - x**5/10 + x**4/8 + 2*x**3/3 + 7*x**2/8 + x/2 + 10. Solve f(w) = 0.
-1, 2
Let z(c) be the third derivative of c**8/5880 - c**7/1764 + c**6/2520 - c**4/24 - c**2. Let m(y) be the second derivative of z(y). Factor m(h).
2*h*(h - 1)*(4*h - 1)/7
Let r = -7 - -12. Let x(n) = -6*n**4 + 8*n**3 + 8*n**2 + 5*n + 5. Let y(k) = 3*k**4 - 4*k**3 - 4*k**2 - 2*k - 2. Let j(d) = r*y(d) + 2*x(d). Factor j(s).
s**2*(s - 2)*(3*s + 2)
Let r(d) be the second derivative of 5*d**4/48 - 5*d**3/12 + 5*d**2/8 - 15*d. Factor r(q).
5*(q - 1)**2/4
Let m(q) = 14*q - 16. Let c(z) = z. Let y(f) = 2*c(f) - m(f). Let d(p) = p**2 + 24*p - 31. Let j(g) = 2*d(g) + 5*y(g). Determine x so that j(x) = 0.
3
Suppose 0 = -2*k + 37 + 39. What is l in 4 + l - 37*l**2 - 6*l + k*l**2 = 0?
1, 4
Let i = -12 + 22. Let o be (-4)/i + 44/10. Determine k, given that 0*k**2 + 0 + 4/7*k**3 - 2/7*k + 0*k**o - 2/7*k**5 = 0.
-1, 0, 1
Factor -24 + 14*c**3 + 4*c**4 + 18*c**2 - 45*c + 29*c + 4*c**3.
2*(c - 1)*(c + 2)**2*(2*c + 3)
Suppose -5*f + 0*f = -30. Find k, given that -f*k**2 + 8*k**3 + 0*k**3 + 8*k**2 = 0.
-1/4, 0
Factor 24*i - 12*i**2 + 2 - 10 - 8 + 2*i**3.
2*(i - 2)**3
Let o(c) be the first derivative of -3 + 0*c - 5/9*c**3 + 1/3*c**2. Determine b, given that o(b) = 0.
0, 2/5
Let a = 2 + -6. Let o be (1/2)/((-1)/a). Find q, given that 2*q - 4*q**3 - 3 + 3 + o*q**5 = 0.
-1, 0, 1
Let n = -18 + 18. Solve 3*q**5 - 5*q**2 - q**2 + 0 + 6*q**4 + n - 3*q = 0.
-1, 0, 1
Factor -2/5 + 6/5*f + 2/5*f**3 - 6/5*f**2.
2*(f - 1)**3/5
Factor f - 6 - 3*f**2 + 13*f + 0*f - 5*f.
-3*(f - 2)*(f - 1)
Let k(c) be the first derivative of -c**4/14 - 2*c**3/21 + c**2/7 + 2*c/7 - 9. Factor k(x).
-2*(x - 1)*(x + 1)**2/7
Let q be (-10)/384*(-80)/4. Let s(j) be the second derivative of -j + 1/4*j**2 + 7/40*j**5 + 13/24*j**3 + 0 + q*j**4. Factor s(p).
(p + 1)*(2*p + 1)*(7*p + 2)/4
Let z(f) be the second derivative of -f**6/30 - f**5/10 + f**4/12 + f**3/3 + 14*f. Suppose z(k) = 0. Calculate k.
-2, -1, 0, 1
Let x = 0 + 4. Let j = 3 - x. Let y(n) = n - 1. Let g(h) = -h**2 - 6*h + 3. Let u(m) = j*g(m) - 4*y(m). Factor u(k).
(k + 1)**2
Let j(q) = 30*q**4 - 55*q**2 - 25*q - 35. Let o(p) = -5*p**4 + 9*p**2 + 4*p + 6. Let z(u) = -6*j(u) - 35*o(u). Determine h, given that z(h) = 0.
-1, 0, 2
Let r(b) be the first derivative of -b**5/30 - b**4/6 - b**3/3 - 9*b**2/2 + 2. Let l(n) be the second derivative of r(n). Let l(u) = 0. What is u?
-1
Suppose -4*y + 28 = 4*j, 4*j - 5*y - 25 = 39. Factor 4*a**2 - 11*a - 2*a**3 + j*a.
-2*a**2*(a - 2)
Suppose -109*s**4 + 33*s**3 + 3*s - 6 + 118*s**4 + 7*s**2 + 26*s**2 = 0. Calculate s.
-2, -1, 1/3
Let k(x) = -3*x**4 - 3*x**3 + 15*x**2 + 3*x. Let g(i) = -6*i**4 - 7*i**3 + 31*i**2 + 7*i + 1. Let q(m) = 6*g(m) - 13*k(m). Let q(o) = 0. What is o?
-1, 1, 2
Let p(o) = 4*o - 1 - 12*o - 2 - o**3 - 8*o**2. Let k be p(-7). Factor -2*t**2 - 2*t**k + 4*t**3 - 2*t**3 + 2*t**3.
-2*t**2*(t - 1)**2
Let i be 3 - 0/(-6 + 4). Let q(u) be the second derivative of 0 + 0*u**2 + 1/50*u**5 + 0*u**i + 1/15*u**4 - u. Determine h so that q(h) = 0.
-2, 0
Let y(q) be the third derivative of 0*q + 1/56*q**8 + 0*q**4 + 11/80*q**6 + 0 - 1/20*q**5 - 13/140*q**7 + q**2 + 0*q**3. Find j, given that y(j) = 0.
0, 1/4, 1, 2
Let d(x) be the first derivative of -7*x**3/4 + 6*x**2 - 3*x - 1. Factor d(l).
-3*(l - 2)*(7*l - 2)/4
Let z = -7/3 + 3. Determine x, given that 0 - 2/3*x + 2/3*x**3 - 2/3*x**2 + z*x**4 = 0.
-1, 0, 1
Suppose 0 = 2*u - 5*v - 11, 4*v + 6 = u - 1. Factor 0 + u*b + 2*b + 3*b**2 + 5 - 3.
(b + 1)*(3*b + 2)
Factor -61*a**3 - 9*a**2 + 33*a**3 - 3*a**4 + 3*a**5 + 13*a**3.
3*a**2*(a - 3)*(a + 1)**2
Let -3*j + 9/2 + 1/2*j**2 = 0. Calculate j.
3
Solve 3/2*z**4 - 3 + 3/2*z**3 - 9/2*z**2 - 15/2*z = 0.
-1, 2
Let v(h) be the third derivative of h**5/120 - h**4/24 - 3*h**2. Factor v(a).
a*(a - 2)/2
Let b(f) = -f**3 + 6*f**2 - 6*f + 1. Let y be b(5). Let d be (6/y)/(12/(-16)). Let -d*w + 4*w - 2*w**3 + 0*w = 0. Calculate w.
-1, 0, 1
Let v(f) be the third derivative of -f**9/1512 + f**7/420 - f**3/3 + 3*f**2. Let g(i) be the first derivative of v(i). Factor g(n).
-2*n**3*(n - 1)*(n + 1)
Let s(z) be the third derivative of z**2 - 5/48*z**4 + 0*z - 1/60*z**5 - 1/6*z**3 + 0. Factor s(q).
-(q + 2)*(2*q + 1)/2
Factor 2/5 - 1/5*u**4 - 1/5*u**2 + 3/5*u - 3/5*u**3.
-(u - 1)*(u + 1)**2*(u + 2)/5
Let f(t) be the second derivative of -t**7/399 + t**6/95 + t**5/95 - t**4/19 - t**3/57 + 3*t**2/19 + 30*t. Determine z so that f(z) = 0.
-1, 1, 3
Let a be (-1 - -2)*71 + 3. Let t = 107 - a. Suppose 2*d**5 + 27*d**4 - 4*d**5 - 4*d + 20*d**2 - 2*d**5 - 7*d**4 - t*d**3 = 0. What is d?
0, 1/2, 2
Find x, given that -4*x**5 - 7*x**2 - 1 + 12*x**3 + 1 - x**2 = 0.
-2, 0, 1
Let u(c) be the second derivative of c**4/20 - c**3/6 - c**2/5 - 8*c. Let u(p) = 0. What is p?
-1/3, 2
Let v(s) = s**2 - 7*s. Let h be v(7). Suppose h = -0*p + 3*p - 6. Suppose -5*q**3 - p - 2*q**2 + 1 + 5*q + 3 = 0. What is q?
-1, -2/5, 1
Let s = -61849 - -2473779/40. Let q = -33/8 - s. Suppose -q*a**2 + 2/5 - 2/5*a + 2/5*a**3 = 0. Calculate a.
-1, 1
Suppose -6 = -4*a + 5*s, 11*a - 3*s = 7*a + 10. Let k(l) be the second derivative of a*l + 0*l**3 + 0 - 1/18*l**4 + 1/3*l**2. Factor k(q).
-2*(q - 1)*(q + 1)/3
Let g = -228 - -686/3. What is i in -g + i - 1/3*i**2 = 0?
1, 2
Let r(d) be the third derivative of d**8/1680 + d**7/1050 - d**6/100 + d**5/150 + d**4/24 - d**3/10 + 12*d**2. Factor r(t).
(t - 1)**3*(t + 1)*(t + 3)/5
Let z(l) be the second derivative of l**6/40 + l**5/20 - l**4/8 - l**3/2 - l**2/2 + 4*l. Let g(i) be the first derivative of z(i). Factor g(v).
3*(v - 1)*(v + 1)**2
Let g(m) = m - 2. Let i be g(4). Suppose 2 - 4*l**i - 6 - 8*l - 2 - 6*l = 0. Calculate