.
-2/3, 0
Suppose 12 + 2 = 7*g. Let w(m) = m**3 - 3*m + 1. Let j be w(2). Solve 0 + 0*b**g + 1/4*b**j + 0*b = 0 for b.
0
Let z(l) be the third derivative of 0 + 0*l**6 + 0*l**3 + 0*l + 1/270*l**5 + 0*l**4 + 3*l**2 - 1/945*l**7. Factor z(m).
-2*m**2*(m - 1)*(m + 1)/9
Let i(k) be the third derivative of 0*k - k**2 + 0 - 1/50*k**5 + 1/175*k**7 - 1/30*k**4 + 1/840*k**8 + 0*k**3 + 1/300*k**6. What is d in i(d) = 0?
-2, -1, 0, 1
Let i = 11 + -8. Let c(a) = a**3 - a**2 - a - 1. Let t(y) = -10*y**3 - 20*y**2 - 17*y - 1. Let h(w) = i*c(w) + t(w). Let h(n) = 0. Calculate n.
-2, -1, -2/7
Let z(t) = -2*t - 4. Suppose 0*q - 3 = q. Let w be z(q). Find v, given that -4/5 + 2/5*v**w + 2/5*v = 0.
-2, 1
Determine s, given that 4 + 5*s + 3*s**2 + 2 + 4*s = 0.
-2, -1
Let k = 1/61 - -59/122. Factor -1/2*y**2 + 0*y + k*y**3 + 0.
y**2*(y - 1)/2
Let x = -1 - -10. Let h(w) = w**2 - 8*w - 6. Let u be h(x). Determine j, given that 0 - 4/11*j + 6/11*j**u + 2/11*j**2 - 2/11*j**5 - 2/11*j**4 = 0.
-2, -1, 0, 1
Let c(f) be the third derivative of -f**9/90720 - f**8/15120 + f**5/20 - 3*f**2. Let l(p) be the third derivative of c(p). Factor l(t).
-2*t**2*(t + 2)/3
Let u(n) = 2*n**2. Let o(f) = -4*f**2 + 12*f + 18. Let w(t) = 2*o(t) + 6*u(t). Factor w(d).
4*(d + 3)**2
Let s(r) be the second derivative of r**7/1260 - r**5/60 + r**4/6 - 3*r. Let l(j) be the third derivative of s(j). Factor l(q).
2*(q - 1)*(q + 1)
Let t be 4/3*(-12)/(-8). Solve 6*d + t - 2 - 8*d**3 + 3*d**4 - 3 + 2*d**3 = 0.
-1, 1
Suppose -5*t + 22 + 18 = 5*k, 3*k = 5*t. Factor 4*c**2 - c**t + 0*c**2 - 3*c**2 + 2*c**3 - 2*c.
c*(c - 1)*(c + 2)
Let y(q) = q - 1. Let m(k) = -k**2 - 4*k - 31. Let n(b) = m(b) - 6*y(b). Solve n(s) = 0 for s.
-5
Let o(m) be the third derivative of 0 + 0*m**3 + 0*m - 1/84*m**4 - 1/210*m**5 + m**2. Determine j so that o(j) = 0.
-1, 0
Let v be 3 + (1 + 1 + -4 - -1). Let o(r) be the second derivative of 1/21*r**7 + 0*r**v + 0 - 1/3*r**3 - 1/3*r**4 - r + 0*r**5 + 2/15*r**6. Factor o(k).
2*k*(k - 1)*(k + 1)**3
Suppose 2*p = 6*p - 8. Let g(o) be the first derivative of 2/9*o**3 + 0*o**p - 1 + 0*o + 2/3*o**4. Find y such that g(y) = 0.
-1/4, 0
Let n(v) be the first derivative of v**6/6 - v**4 + 2*v**3/3 + 3*v**2/2 - 2*v - 6. Factor n(f).
(f - 1)**3*(f + 1)*(f + 2)
Suppose 0*p = 4*p + 16. Let f = 2 - p. Factor -4*c - f*c**3 - 4*c**4 + 4*c - 2*c**5 + 4*c**3.
-2*c**3*(c + 1)**2
Let w be ((-10)/6*-3)/1. Let c(n) = 3*n**3 + 2*n**2 + 5*n + 5. Let i(f) = f**3 + f**2 + 2*f + 2. Let h(x) = w*i(x) - 2*c(x). Determine y, given that h(y) = 0.
0, 1
Let c(y) = y**2 - 1. Let j be c(1). Let d = j + 2. Factor -2 + d*n - 3*n - 2*n**2 - 3*n.
-2*(n + 1)**2
Let l(o) be the third derivative of 0*o**3 - 2/315*o**7 - 3*o**2 + 1/40*o**6 + 1/72*o**4 - 1/30*o**5 + 0*o + 0. Factor l(y).
-y*(y - 1)**2*(4*y - 1)/3
Suppose -1 + 5 = p. Factor 4*f**3 + 0*f**2 + f**5 - 2*f**2 - 2*f**2 + f - p*f**4 + 2*f**3.
f*(f - 1)**4
Let g(r) be the first derivative of 3*r**8/2240 - r**7/560 + r**6/1440 + 2*r**3/3 + 2. Let j(f) be the third derivative of g(f). Solve j(q) = 0.
0, 1/3
Let f be 14/77 - 2/11. Let l(k) be the third derivative of 0*k**3 + 0*k**4 - 1/420*k**7 + 0*k**5 + f*k + 0 - 1/240*k**6 - k**2. Factor l(a).
-a**3*(a + 1)/2
Let g(f) be the first derivative of f**3 - 6*f**2 + 12*f - 4. Factor g(u).
3*(u - 2)**2
Let j(v) = 8*v**2. Let k(f) = -7*f**2. Let l(n) = 4*j(n) + 5*k(n). Factor l(u).
-3*u**2
Let g(u) = u**3 - 2*u**2 + 2*u - 1. Let h be g(2). Suppose b = -h*b. Factor v**3 + b*v - 4/3*v**4 + 1/3*v**2 + 0.
-v**2*(v - 1)*(4*v + 1)/3
Let a(b) = -b**4 + b**3 + b**2 + b - 1. Let u(k) = -2*k**4 + 3*k**3 + 2*k**2 + 3*k - 3. Let p(w) = -6*a(w) + 2*u(w). Determine x, given that p(x) = 0.
-1, 0, 1
Suppose y**3 + 3/2 - 7/2*y**2 + y = 0. What is y?
-1/2, 1, 3
Suppose 7*i = 2*i - 30. Let c be i/(-2) - 2 - -1. Suppose 0 - 1/3*r + 1/3*r**c = 0. Calculate r.
0, 1
Suppose -44*q - 16 = -52*q. Factor 16/3*f**3 - 4*f**q - 2*f**4 + 2/3 + 0*f.
-2*(f - 1)**3*(3*f + 1)/3
Let h(i) be the first derivative of -i**4/20 - 4*i**3/15 - i**2/2 - 2*i/5 - 5. Suppose h(a) = 0. What is a?
-2, -1
Let q(z) be the second derivative of z**6/90 - z**5/60 - z**4/36 + z**3/18 - 2*z. Suppose q(n) = 0. Calculate n.
-1, 0, 1
Let j(d) be the third derivative of d**8/112 - 2*d**7/35 + d**6/8 - d**5/10 - 50*d**2. Factor j(o).
3*o**2*(o - 2)*(o - 1)**2
Let u(i) = -81*i**4 - 288*i**3 - 591*i**2 - 609*i - 192. Let l(d) = -5*d**4 - 18*d**3 - 37*d**2 - 38*d - 12. Let j(o) = -33*l(o) + 2*u(o). Solve j(q) = 0 for q.
-2, -1
Let a = -3/50 + 29/150. Let b(h) be the third derivative of 0 - h**2 - a*h**3 - 1/60*h**4 + 1/150*h**5 + 0*h. Solve b(g) = 0.
-1, 2
Let m be 3*4/(-4) - 0. Let q be 2 - (-3 + m + 6). Factor 1/6 - 1/3*c + 1/6*c**q.
(c - 1)**2/6
Let l(g) be the second derivative of 8*g**7/147 - 46*g**6/105 + 46*g**5/35 - 5*g**4/3 + 8*g**3/21 + 8*g**2/7 - 9*g. Solve l(t) = 0 for t.
-1/4, 1, 2
Let z be 4/(-18) + 22/99. Factor -7*u**4 + 4*u**5 + 4*u**3 + u**2 - 2*u**3 + z*u**3.
u**2*(u - 1)**2*(4*u + 1)
Let a(q) be the third derivative of -q**8/336 + q**7/210 + q**6/120 - q**5/60 - 22*q**2. Factor a(t).
-t**2*(t - 1)**2*(t + 1)
Let g(j) be the third derivative of -j**6/720 + j**5/90 - j**4/36 + 41*j**2 - 1. Suppose g(i) = 0. What is i?
0, 2
Let u(m) be the second derivative of m**4/90 + 2*m**3/45 - 3*m. Factor u(o).
2*o*(o + 2)/15
Suppose -4*v - 6 = 2, -6 = 2*j + 5*v. Suppose q - 2*q = -j. Determine h, given that 14*h**q - 6*h**2 - 7*h - 3*h - 2*h**3 + 4 = 0.
1, 2
Let q(n) be the first derivative of -3/10*n**4 - 3/5*n + 9/25*n**5 + 3 - 1/10*n**6 + 9/10*n**2 - 2/5*n**3. Determine x so that q(x) = 0.
-1, 1
Let v be 6*(-1)/(-22)*11. Factor 2/3*b + 2/3*b**5 + 2/3*b**4 - 4/3*b**v - 4/3*b**2 + 2/3.
2*(b - 1)**2*(b + 1)**3/3
Let z(d) be the second derivative of 1/5*d**5 + 0*d**2 + 0 - 2*d + 0*d**4 - 2/3*d**3. Determine x, given that z(x) = 0.
-1, 0, 1
Factor -3/7*l**3 + 0*l + 0 + 6/7*l**2.
-3*l**2*(l - 2)/7
Let m = -12131/15 + 809. Factor 0 + m*s**4 - 4/15*s**2 + 0*s**3 + 2/15*s**5 - 2/15*s.
2*s*(s - 1)*(s + 1)**3/15
Let u(g) = g - 3. Let q be u(3). Let j = q - -1/2. Factor j + 0*a - 1/2*a**2.
-(a - 1)*(a + 1)/2
Let u(n) be the first derivative of -n**5/120 + n**4/48 - n**2/2 + 1. Let r(p) be the second derivative of u(p). Factor r(x).
-x*(x - 1)/2
Let a(r) be the third derivative of r**6/24 + r**5/12 - 14*r**2. Factor a(x).
5*x**2*(x + 1)
Let z(o) be the second derivative of -o**7/490 + 3*o**5/140 - o**4/28 - 2*o**2 + o. Let n(b) be the first derivative of z(b). Factor n(u).
-3*u*(u - 1)**2*(u + 2)/7
Let y = 9 + -3. Let n be (-2)/6 - 10/(-3). Factor -4 + y*g**n + 2*g**4 + g + 2*g**2 + 0*g**4 - 7*g.
2*(g - 1)*(g + 1)**2*(g + 2)
Let q = -63 + 66. Factor -2/5*a**q - 2/5*a**2 + 0 + 2/5*a**4 + 2/5*a.
2*a*(a - 1)**2*(a + 1)/5
Let k(o) be the second derivative of 2/3*o**3 + 1/6*o**4 - o - 1/2*o**2 + 1/60*o**5 + 0. Let j(s) be the first derivative of k(s). Find a such that j(a) = 0.
-2
Let k be 3 + 0 - (-14)/(-21). Let -k*i**3 + 2/3*i**2 + 0 + 0*i = 0. What is i?
0, 2/7
Let p = 11 - 7. Suppose -z = -p*m + 17, -2*m - z + 4 = m. Suppose -2*o**m - o + 4*o**3 - o**3 = 0. What is o?
-1, 0, 1
Let i be 1/((-2)/10*1). Let q(c) = 7*c**3 + 17*c**2 - 4*c. Let y(j) = 7*j**3 + 16*j**2 - 4*j. Let n(g) = i*y(g) + 4*q(g). Determine u, given that n(u) = 0.
-2, 0, 2/7
Suppose -50/3*z**3 - 8/3*z - 40/3*z**2 + 0 = 0. What is z?
-2/5, 0
Let z(m) be the third derivative of m**5/240 - 2*m**2. Let z(s) = 0. What is s?
0
Let z be (1 - (-26)/4)*(-19)/(-95). Let -2 + z*s**2 + 1/4*s**3 - 1/4*s**4 - s = 0. Calculate s.
-2, -1, 2
Let q = 174 - 174. Factor 1/2*d**3 + d**2 - 1/2*d**4 + q + 0*d.
-d**2*(d - 2)*(d + 1)/2
Suppose 4*w - 6 = -u, w + 1 + 2 = 2*u. Let -6*q + 0*q + 0 - 2 - 2*q**2 + u*q = 0. What is q?
-1
Let q = 162 + -647/4. Factor -q*b**3 - 3*b + 2 + 3/2*b**2.
-(b - 2)**3/4
Let f(t) = 3*t - 1. Let h be f(1). Factor -3*j**3 + 4 - 44*j + 22*j**2 - j**h + 23 - j.
-3*(j - 3)**2*(j - 1)
Factor 3 + 18*q**2 - 19*q**2 - 3*q + 0 + q.
-(q - 1)*(q + 3)
Suppose -3*z + 0*z + 15 = 0. Find a, given that -5*a**4 - 5*a**2 - 2*a + 2*a**z + 4*a**2 + 5*a**2 + a**4 = 0.
-1, 0, 1
Suppose -5*r + r - 4*p = -4, -4*r + 2*p + 16 = 0. Suppose 1/2*z + 1/2 - 1/2*z**2 - 1/2*z**r = 0. Calculate z.
-1, 1
Let f be 3*(-8)/12 - (-1 + -1). Let v(b) be 