+ -3 + (-3 - 1). Let b(i) = i**2 - 7*i + 12. Let f be b(h). Let 0 - 2/3*m - 25/6*m**5 + 14/3*m**f + 35/3*m**4 - 23/2*m**3 = 0. Calculate m.
0, 2/5, 1
Let j(z) be the second derivative of z**4/3 + 8*z**3/3 + 6*z. Factor j(t).
4*t*(t + 4)
Suppose -20 = -6*h + h. Let u be 0 - ((-8)/h - 0). Solve -2/9 - 2/9*t**3 - 2/3*t - 2/3*t**u = 0.
-1
Let b(h) be the first derivative of h**7/56 - 9*h**5/80 + h**4/8 + 5*h - 4. Let t(r) be the first derivative of b(r). Solve t(u) = 0 for u.
-2, 0, 1
Let n(v) = v**4 + v**3 + v. Let f(c) = c - 1. Let j(m) = -m**2 - 2. Let y(h) = -4*f(h) + 2*j(h). Let g(a) = -2*n(a) - y(a). Let g(i) = 0. What is i?
-1, 0, 1
Let n be (32/(-48))/((-2)/1 - 0). Factor 0*p**3 + 1/3*p**2 + 0*p + 0 - n*p**4.
-p**2*(p - 1)*(p + 1)/3
Let n(c) = -c**3 - 3*c**2 + 3*c - 2. Let l be n(-4). Determine d, given that -3*d**2 + 0*d**2 - 6*d**2 + 6*d**l = 0.
0
Factor -3*m**3 + 9*m**2 - m**3 - 5*m - m + 1.
-(m - 1)**2*(4*m - 1)
Let j(y) be the first derivative of -y**5/25 + y**4/20 + y**3/15 - y**2/10 + 5. Factor j(n).
-n*(n - 1)**2*(n + 1)/5
Let o(f) = f**3 - 2*f**2 - 3*f - 3. Let h be o(3). Let q = 5 + h. Factor l**2 - l**2 + 2*l**3 + q*l**2.
2*l**2*(l + 1)
Factor -1/6*q**3 - 5/6*q**2 - 4/3*q - 2/3.
-(q + 1)*(q + 2)**2/6
Let k(w) be the first derivative of -w**6/6 + 7*w**5/15 - 4*w**3/9 + 7. What is l in k(l) = 0?
-2/3, 0, 1, 2
Let f be 1 + (-3 - -7 - 2). Find y such that 4*y**5 - 2*y**4 + 2*y**2 - 2*y**5 + 2*y**f - 4*y**3 = 0.
-1, 0, 1
Let f(q) be the third derivative of -q**6/180 + q**4/12 + 2*q**3/9 + 2*q**2. Factor f(c).
-2*(c - 2)*(c + 1)**2/3
Let k(p) be the third derivative of 0*p**3 - 4*p**2 - 1/945*p**7 + 0*p - 1/135*p**5 + 0 + 0*p**4 - 1/180*p**6. Factor k(l).
-2*l**2*(l + 1)*(l + 2)/9
Let j = 16 + -12. Let f be (-11)/j - (0 - 3). Factor -3/4*i**3 + f*i**2 + 1/2*i + 0.
-i*(i - 1)*(3*i + 2)/4
Let l(m) be the third derivative of m**7/280 + m**6/160 - 3*m**5/80 - m**4/32 + m**3/4 + m**2. Let l(u) = 0. Calculate u.
-2, -1, 1
Let v(f) be the first derivative of 1/4*f + 1/12*f**3 + 3 - 1/4*f**2. Factor v(d).
(d - 1)**2/4
Let l be ((-35)/63)/((-10)/12). Let u(s) be the second derivative of s + 0*s**2 + 14/5*s**5 - 5/2*s**4 + 0 + l*s**3. Find g such that u(g) = 0.
0, 1/4, 2/7
Factor -1/4*i**3 + 0 + 0*i - 1/2*i**2 + 1/4*i**4.
i**2*(i - 2)*(i + 1)/4
Let h = -666 + 2645/4. Let w = -87/20 - h. Factor 2/5 + 12/5*x**2 + 8/5*x**3 + w*x**4 + 8/5*x.
2*(x + 1)**4/5
Factor i**5 + 2*i**2 + 2*i**2 + 43*i**4 - 3*i**5 - 47*i**4 + 2*i.
-2*i*(i - 1)*(i + 1)**3
Let k = 11 - 14. Let f be ((-4 - -7)/k)/(-2). Factor -1/4*m**5 + 0 + 1/4*m + 1/2*m**4 - f*m**2 + 0*m**3.
-m*(m - 1)**3*(m + 1)/4
Let n = 3 - 1. Factor 2*s**n + 5*s**2 - s**2 + 2*s + s + 3*s**3.
3*s*(s + 1)**2
Let p(z) = -9*z**2 - 4*z + 7. Let a(k) = -9*k**2 - 4*k + 7. Let y(n) = 4*a(n) - 3*p(n). Let g(d) = 4*d**2 + 2*d - 3. Let f(h) = -14*g(h) - 6*y(h). Factor f(j).
-2*j*(j + 2)
Let a(l) be the third derivative of l**7/1890 - l**6/540 + l**4/108 - l**3/54 - 7*l**2. Factor a(o).
(o - 1)**3*(o + 1)/9
Let c(b) be the second derivative of b**5/80 - b**3/24 + 2*b. Factor c(f).
f*(f - 1)*(f + 1)/4
Let w(g) = -2*g**4 - 29*g**3 - 8*g**2 + 24*g + 5. Let b(h) = -12*h**4 - 188*h**3 - 52*h**2 + 156*h + 32. Let x(d) = -5*b(d) + 32*w(d). What is c in x(c) = 0?
-1, 0, 1, 3
Suppose 2*p + 4*v + 8 = 0, -10 = 5*p - 0*v + 5*v. Factor n**2 - 2*n**2 - 4*n + p*n + 2*n.
-n*(n + 2)
Let x(n) be the third derivative of -n**8/6720 - n**7/1260 - n**6/720 - n**4/24 - 3*n**2. Let z(u) be the second derivative of x(u). Factor z(j).
-j*(j + 1)**2
What is g in -16/3*g**2 + 0 - 2*g**3 + 8/3*g + 6*g**4 = 0?
-1, 0, 2/3
Let g(k) be the first derivative of k - 5 + 0*k**2 - 1/3*k**3. Factor g(f).
-(f - 1)*(f + 1)
Let a = -171/16 + 1119/80. Let u(c) be the third derivative of 29/6*c**4 + 9/70*c**7 + 4*c**3 + 0 + a*c**5 + 2*c**2 + 9/8*c**6 + 0*c. Factor u(z).
(z + 3)*(3*z + 2)**3
Let p(v) be the first derivative of -v**4/4 - v**3/3 - 7. Factor p(x).
-x**2*(x + 1)
Suppose 9 + 3 = 4*g. Let 1/6*b**4 - 1/2*b + 1/6*b**2 - 1/3 + 1/2*b**g = 0. What is b?
-2, -1, 1
Let w(u) be the third derivative of u**7/420 + u**6/135 - u**5/180 - u**4/18 - 2*u**3/3 + u**2. Let r(m) be the first derivative of w(m). Factor r(g).
2*(g + 1)**2*(3*g - 2)/3
Suppose -6*i + 2*i + 12 = 0. Suppose -x + i = 1. Determine s, given that 37*s**4 + 33*s**3 - 32 + 32 + 12*s**5 + 2*s**4 + 6*s**x = 0.
-2, -1, -1/4, 0
Let v = 16 + -12. Suppose 73*l**3 + 1 + 0*l - 2*l**2 + l + l**5 + l**v - 75*l**3 = 0. What is l?
-1, 1
Suppose -2*t = 32 - 8. Let x be 0*(t/(-3))/(-12). Solve x + 0*i - 1/4*i**2 = 0.
0
Factor 2/3*g**5 - 2/3*g**4 + 2/3*g**2 - 2/3*g**3 + 0 + 0*g.
2*g**2*(g - 1)**2*(g + 1)/3
Let d(b) = -8*b**3 - 41*b**2 - 33*b - 9. Let g(o) = -2*o**3 - 10*o**2 - 8*o - 2. Let m(f) = 2*d(f) - 9*g(f). Factor m(x).
2*x*(x + 1)*(x + 3)
Let a(l) be the first derivative of 25*l**3/3 - 5*l**2/2 - 11. Factor a(x).
5*x*(5*x - 1)
Suppose 0 = -131*m + 138*m. Determine b, given that m - 2/5*b + 2/5*b**2 = 0.
0, 1
Suppose -18*h = -10*h. Let x(f) be the second derivative of 1/12*f**3 + 0*f**4 - 1/40*f**5 + 0 + h*f**2 + 2*f. Factor x(b).
-b*(b - 1)*(b + 1)/2
Let g(b) be the second derivative of -b**7/14 - 3*b**6/20 + 3*b**5/8 + 5*b**4/8 - 3*b**3/4 - 3*b**2/2 - 2*b. What is f in g(f) = 0?
-2, -1, -1/2, 1
Let q(u) be the third derivative of -u**8/336 + u**6/40 - u**5/30 + u**2 + u. What is k in q(k) = 0?
-2, 0, 1
Let m(o) be the second derivative of 0 + 4*o + 1/27*o**4 - 2/9*o**2 + 1/90*o**5 - 1/27*o**3. Factor m(u).
2*(u - 1)*(u + 1)*(u + 2)/9
Let u(h) be the third derivative of -h**6/300 - 9*h**2. Factor u(m).
-2*m**3/5
Let c(h) be the first derivative of 4*h**5/5 - 5*h**4 + 32*h**3/3 - 8*h**2 - 8. Let c(o) = 0. What is o?
0, 1, 2
Let y be -2 + 2 - (1 + -2). Let k(c) be the first derivative of -1/3*c**3 + y + 0*c + 0*c**2. Factor k(m).
-m**2
Let y(i) be the first derivative of 5*i**4/12 - 5*i**3/9 - 5*i**2 + 19. Let y(r) = 0. What is r?
-2, 0, 3
Let h(w) = -3*w**2 - 5*w + 5. Let q(n) = -2*n - 3. Let i be q(-4). Let j(u) = 4*u**2 + 7*u - 7. Let k(d) = i*j(d) + 7*h(d). Solve k(g) = 0.
0
Let s(b) be the second derivative of b**7/28 + 3*b**6/10 + 3*b**5/5 - 3*b**4/4 - 9*b**3/4 - 25*b. Solve s(z) = 0.
-3, -1, 0, 1
Let u(v) be the first derivative of -v**5/180 - v**4/12 - v**3/2 - 2*v**2 + 3. Let l(z) be the second derivative of u(z). Factor l(i).
-(i + 3)**2/3
Let u(x) be the second derivative of x**4/3 + 2*x**3/3 - 4*x**2 - 16*x. Let u(b) = 0. What is b?
-2, 1
Suppose -2*f - f + 55 = 4*p, -5*p = -4*f - 92. Let r be (6/p)/((-12)/(-8)). Factor -1/4*z + 0 + 0*z**2 + r*z**3.
z*(z - 1)*(z + 1)/4
Let t(x) be the first derivative of -4*x**4 - 8*x**3 + 15*x**2/2 - 2*x + 2. Factor t(a).
-(a + 2)*(4*a - 1)**2
Factor 0 + 3/5*c - 1/5*c**2.
-c*(c - 3)/5
Let v(b) = -b. Let q be v(0). Factor -3*y - 1 - 6*y**2 - 3*y**3 + 1 + q.
-3*y*(y + 1)**2
Let y(d) be the third derivative of 0 - 1/84*d**8 - 9*d**2 + 0*d - 1/30*d**5 - 1/50*d**6 + 0*d**3 + 19/525*d**7 + 1/30*d**4. What is z in y(z) = 0?
-1/2, 0, 2/5, 1
Factor 968*d**2 + 4*d**4 - 980*d**2 + 16 - 6*d**3 + 16*d - 2*d**3.
4*(d - 2)**2*(d + 1)**2
Suppose 0 = 2*s, -3*s + 8 = 4*g - 2*s. Factor 9/2*o**g + 3/2*o**4 + 0 + 9/2*o**3 + 3/2*o.
3*o*(o + 1)**3/2
Let j = 731/5 - 146. Let 2/5 - 1/5*b**2 - j*b = 0. What is b?
-2, 1
Let g(y) be the third derivative of y**7/70 - y**6/40 - y**5/20 + y**4/8 - 3*y**2. Factor g(x).
3*x*(x - 1)**2*(x + 1)
Let d(b) = -21*b**3 + 6*b**2 + 21*b - 12. Let u(j) = 20*j**3 - 6*j**2 - 20*j + 11. Let f(l) = 5*d(l) + 6*u(l). Determine r so that f(r) = 0.
-1, 2/5, 1
Let t = 7 + -6. Let w = 7 - t. Solve -2*a**4 + w*a + 14*a**2 - 2 - 6*a**3 - 2 - 8*a**4 = 0.
-1, 2/5, 1
Let y = 10 - 9. Let b be (y - (-24)/9) + -3. Factor -b + 4/3*t - 2/3*t**2.
-2*(t - 1)**2/3
Let i = -622/3 + 208. Factor 1/3*n - i*n**2 + 0 - n**3.
-n*(n + 1)*(3*n - 1)/3
Let l = 605 - 605. Let -1/6*d**3 + 1/6*d**2 + l*d + 0 = 0. Calculate d.
0, 1
Let j(r) = 11*r**2 - 18*r - 4. Let o(k) = k**2 - k. Let c(d) = -j(d) + 2*o(d). Factor c(v).
-(v - 2)*(9*v + 2)
Suppose 0 = -13*b + 9*b + 40. Solve -7*j + b*j**2 + 10*j + 2*j**3 - 2*j**2 + 4 + 7*j = 0 for j.
-2, -1
Let z = -23 + 25. Suppose -a + 4 = z. Determine b, given that 0 + 2/5*b - 2/5*b**a = 0.
0, 1
Let r be (-5 + 1)*(-7)/14. Let -2*s**3 - 42*s**2 - 2