, 0, 1
Let q = -6 - -6. Factor 0*i**4 + 1/2*i + 1/2*i**5 + q + 0*i**2 - i**3.
i*(i - 1)**2*(i + 1)**2/2
Let w be ((2 - 0) + (-15)/9)*0. Let h(c) be the first derivative of w*c**4 + 2/3*c + 2/15*c**5 - 4/9*c**3 + 0*c**2 + 1. Solve h(f) = 0 for f.
-1, 1
Let u be 1/(-2) + (-6)/(-4). Suppose 7 = 3*t + u. Solve 1 - 8*x - 9 - t*x**2 + 0*x = 0.
-2
Let a(n) be the first derivative of -3*n**4/10 + 8*n**3/15 + 4*n**2/5 + 8. Factor a(c).
-2*c*(c - 2)*(3*c + 2)/5
Let q(d) = -d + 9. Let b be q(8). Suppose 4 = -2*z - 5*f, z + 2*f - f - b = 0. Suppose 1/2*v**z - 1/2*v**2 - 1/2*v + 1/2 = 0. Calculate v.
-1, 1
Let t(m) = -4*m. Let v be t(-1). What is d in -2*d - d**2 + 9*d**3 + 3*d - 3*d**v + 2*d - 8*d**2 = 0?
0, 1
Let a(x) be the second derivative of -x**8/5880 + x**3/3 - 2*x. Let r(j) be the second derivative of a(j). Let r(t) = 0. Calculate t.
0
Factor -2/3 + 1/9*s**4 - 7/9*s + 7/9*s**3 + 5/9*s**2.
(s - 1)*(s + 1)**2*(s + 6)/9
Let z be 2/(-5) + 57/30. Let r be (-9)/(-24)*(-8)/(-6). Suppose -z*j + r*j**2 + 1 = 0. Calculate j.
1, 2
Let g(l) = 2*l + 0 - l + 0. Let f(p) = -p**2 - 7*p - 1. Let i(z) = f(z) + 5*g(z). Let i(m) = 0. What is m?
-1
Let u(b) = -b - 6. Let y be u(-8). Solve -a**2 + 2*a**2 - 2*a**y + a**3 = 0.
0, 1
Suppose 5*a - m - 5 = -2, 8 = 2*a + 3*m. Let b(z) = 14*z**3 + 2*z**2 - 12. Let s(v) = -v**3 + 1. Let x(f) = a*b(f) + 12*s(f). Solve x(d) = 0.
-1, 0
Suppose 5*u = b - 4*b + 15, -15 = -5*u. Suppose b*w + 20 = 5*w. Let 6*t**3 + 2*t**2 - t**4 + 4*t**4 + 3*t**w + 2*t**5 = 0. What is t?
-1, 0
Let l be 0 - (-3)/(9/6). Factor -z**2 - 2*z - l*z + 5*z - 1 - 3*z.
-(z + 1)**2
Solve -2/7*j**2 + 6/7*j - 4/7 = 0 for j.
1, 2
Factor -2/3*o**2 + 1/3*o + 2/3 - 1/3*o**3.
-(o - 1)*(o + 1)*(o + 2)/3
Determine p so that 3/2 + 1/2*p**2 + 2*p = 0.
-3, -1
Let m(o) be the third derivative of o**6/40 - 3*o**5/10 + 3*o**4/2 - 4*o**3 + o**2. Factor m(w).
3*(w - 2)**3
Let c = -4 - -11. Let v be 26/7 - (-2)/c. Determine w, given that -w**3 + 3*w**3 - 2*w + w**4 + 3*w**2 - 4*w**v = 0.
-1, 0, 2/3, 1
Let -10/3*u**4 + 4/3*u + 10/3*u**2 + 0 - 4/3*u**3 = 0. What is u?
-1, -2/5, 0, 1
Suppose -4*u + 26 = g + 4*g, -2 = u - 3*g. Factor 2*q + 0*q - 2*q**3 + 5*q**4 - 4*q**2 - q**u.
2*q*(q - 1)*(q + 1)*(2*q - 1)
Suppose 0 = 2*u - 7*u + 10. Suppose 8*n**3 - 10*n**3 + 2 + 2*n - n**2 - n**u + 0 = 0. What is n?
-1, 1
Let k(s) = 3*s. Let c be k(2). Suppose c = -3*i + 6*i. Find w, given that -1/5 + 0*w + 1/5*w**i = 0.
-1, 1
Let l(w) = -w**2 - 2. Let y be (-7)/(-1) + (-3 - -2). Let g(j) = 12*j**2 - 2 - 7*j**2 + j - y*j**2. Let z(p) = 3*g(p) - 4*l(p). Let z(b) = 0. Calculate b.
-2, -1
Let k(o) be the first derivative of -1/6*o**3 + 0*o + 1/10*o**5 - 1/4*o**2 + 1/8*o**4 + 3. Factor k(c).
c*(c - 1)*(c + 1)**2/2
Let r(t) be the second derivative of -t**7/14 + 3*t**5/5 - t**4/2 - 3*t**3/2 + 3*t**2 + t - 8. Factor r(n).
-3*(n - 1)**3*(n + 1)*(n + 2)
Let b(v) be the third derivative of -13*v**8/224 + 23*v**7/210 + 33*v**6/80 - 19*v**5/60 - 5*v**4/4 - 2*v**3/3 + 3*v**2 - 11. Let b(z) = 0. What is z?
-1, -2/3, -2/13, 1, 2
Determine w so that 9/2*w**2 + 3 - 21/2*w = 0.
1/3, 2
Let f(o) be the third derivative of -o**6/120 - o**5/40 + o**4/4 - o**3/6 - 7*o**2. Let p(l) be the first derivative of f(l). Find x such that p(x) = 0.
-2, 1
Let n(r) be the second derivative of r**4/6 - 16*r**3/3 + 64*r**2 - 33*r. Factor n(f).
2*(f - 8)**2
Let c(z) = z**3 - 8*z**2 + 9*z - 10. Let l be c(7). Let t be (1 - (-21)/(-15))*-5. Find h, given that -5*h**2 - h**3 + 2*h**3 - h**t - l*h**3 = 0.
-2, 0
Let s(d) be the first derivative of -d**6/360 + d**4/24 + d**3/3 + 3. Let w(l) be the third derivative of s(l). Determine n so that w(n) = 0.
-1, 1
Let d(z) = 2*z**2. Let a(x) = -3*x**2. Let y be a(-1). Let w be d(y). Solve -w*v**2 - 8/5 + 56/5*v**3 + 98/5*v**4 - 56/5*v = 0.
-1, -2/7, 1
Let h(v) be the third derivative of -v**6/60 - v**5/90 + v**4/18 - v**2. Factor h(u).
-2*u*(u + 1)*(3*u - 2)/3
Let f(a) be the third derivative of 1/6*a**4 + 0*a - a**2 + 0 - 2/3*a**3 - 1/60*a**5. Let f(c) = 0. What is c?
2
Let o(l) be the second derivative of l**7/231 + l**6/165 - l**5/110 - l**4/66 - 5*l. Suppose o(x) = 0. Calculate x.
-1, 0, 1
Let 12*p**4 + 3*p**4 - p**5 - 4*p**5 - 15*p**2 + 5*p**3 = 0. Calculate p.
-1, 0, 1, 3
Let b(i) = -i - 3. Let p(a) = -a**2 - a - 1. Let k(d) = -b(d) + 3*p(d). Factor k(m).
-m*(3*m + 2)
Let z be 6*(-4)/(-16)*-2. Let j = -3 - z. Solve -2/3*c**5 + 0 + j*c - 2/3*c**4 + 2/3*c**2 + 2/3*c**3 = 0 for c.
-1, 0, 1
Solve -5/4*h**4 + 15/4*h**2 - 5/2 + 5/4*h**3 - 5/4*h = 0 for h.
-1, 1, 2
Let q(n) be the first derivative of 5*n**3/2 - 39*n**2/4 - 9*n - 2. Factor q(m).
3*(m - 3)*(5*m + 2)/2
Let s(u) be the second derivative of u**8/6720 + u**7/2520 + 3*u**4/4 + 3*u. Let z(c) be the third derivative of s(c). Factor z(r).
r**2*(r + 1)
Let 18 + 2/9*r**2 - 4*r = 0. What is r?
9
Suppose -10 = -5*n - 3*r, -2*r + 2 - 32 = -4*n. Suppose n*d - d - 8 = 0. Solve -4*z**d + 0*z - 3*z - 3*z - 2 = 0.
-1, -1/2
Let v(q) = q**3 + 2*q + 2. Let y(m) = -3*m**3 - m**2 - 5*m - 5. Let d = 7 - 5. Let c(o) = d*y(o) + 5*v(o). Determine u so that c(u) = 0.
-2, 0
Suppose -9 = -3*v - 5*k + 2, -43 = -5*v + 4*k. Solve -2*n + 6*n - v*n + 3*n**3 = 0.
-1, 0, 1
Let j(v) be the third derivative of v**5/30 - v**4/3 + 4*v**3/3 - v**2. Factor j(p).
2*(p - 2)**2
Let y be (6/7)/3 - (-116)/35. Suppose -y*w**2 + 4/5 - 6/5*w = 0. Calculate w.
-2/3, 1/3
Let n be 99/(-385) + 4/10. Let y(c) be the first derivative of 2/21*c**3 - 3 - n*c**2 - 2/35*c**5 + 0*c + 1/14*c**4. Factor y(h).
-2*h*(h - 1)**2*(h + 1)/7
Solve -5*q**3 - 16 + 9*q**2 + 22 - 3*q**4 + 2*q**3 + 15*q = 0 for q.
-1, 2
Let g(h) = -h**2 - 2*h + 1. Let d(f) = 2*f**3 - 17*f**2 - 26*f + 35. Let a(c) = 2*d(c) - 6*g(c). Factor a(t).
4*(t - 8)*(t - 1)*(t + 2)
Let b be 54/45 - 6/(-45). Suppose -1/3*p**4 - b + 4*p - 13/3*p**2 + 2*p**3 = 0. Calculate p.
1, 2
Let k(x) be the third derivative of -x**6/1260 - x**5/105 - x**4/21 - x**3/3 + 5*x**2. Let s(b) be the first derivative of k(b). Factor s(j).
-2*(j + 2)**2/7
Let r(c) be the third derivative of 10*c**2 + 1/5*c**5 + 2/3*c**3 + 0*c - 1/30*c**6 + 0 - 1/2*c**4. Solve r(p) = 0.
1
Let q(n) be the first derivative of -n**5/10 + n**4/6 + 5*n - 3. Let p(d) be the first derivative of q(d). Let p(g) = 0. Calculate g.
0, 1
Let c be (-154)/(-42) - (-2)/6. Let z(u) be the second derivative of 0*u**3 + u - 3/20*u**5 + 1/4*u**c + 0 + 0*u**2. Factor z(x).
-3*x**2*(x - 1)
Let y(q) be the first derivative of 3*q**4/20 + 3*q**3/5 + 3*q**2/5 - 15. Let y(t) = 0. Calculate t.
-2, -1, 0
Let l(x) be the second derivative of -x**7/252 + x**6/36 - x**5/40 - 5*x**4/72 + x**3/9 - 11*x + 1. Solve l(q) = 0 for q.
-1, 0, 1, 4
Suppose -3/2*r - 6*r**3 + 0 - 1/2*r**5 + 3*r**4 + 5*r**2 = 0. What is r?
0, 1, 3
What is y in 0*y**2 - y**5 - 8*y**4 - 23*y**3 + 2*y**2 + 22*y**3 - 4*y**5 = 0?
-1, 0, 2/5
Suppose 3*x - 1 + 16 = -3*t, 2*t - 4*x + 16 = 0. Let n be (4/t)/(1/(-6)). Factor l**3 + l**2 - 2*l - 9*l**n - 6*l**3 + 8*l**2 + 7*l**5.
l*(l - 1)**2*(l + 1)*(7*l - 2)
Let v(a) be the second derivative of a**6/105 + a**5/70 - a**4/14 - 5*a**3/21 - 2*a**2/7 + 40*a. What is h in v(h) = 0?
-1, 2
Factor 6*d + 2*d**3 + 11*d**3 + 2*d - d**3 + 2*d**4 + 18*d**2.
2*d*(d + 1)**2*(d + 4)
Let k(i) = i**3 + 1. Let v(d) = -6*d**3 - 5*d**2 + 13*d - 12. Let x(r) = -5*k(r) - v(r). Factor x(m).
(m - 1)**2*(m + 7)
Let p = 30 - 89/3. Let w(m) be the first derivative of -p*m**2 - 2/9*m**3 + 2 - 1/18*m**4 - 2/9*m. What is s in w(s) = 0?
-1
Let b(m) = -m - 3. Let t be b(-5). Factor x - 16*x**3 - 15*x**2 - 2*x + 7*x**t.
-x*(4*x + 1)**2
Let w(s) = 3*s**2 + 75*s - 63. Let y(h) = h**2 + 19*h - 16. Let m(o) = -4*w(o) + 15*y(o). Factor m(t).
3*(t - 4)*(t - 1)
Let h be ((-3)/((-9)/(-6)))/(-1). Let f(v) be the third derivative of 2/105*v**7 + 0*v + 1/40*v**6 - 1/12*v**5 - 1/8*v**4 + 1/6*v**3 - h*v**2 + 0. Factor f(b).
(b - 1)*(b + 1)**2*(4*b - 1)
Let p be -4*(-3)/(-78) + (-498)/(-195). Factor -6/5*w**2 + 1/5*w**3 - 8/5 + p*w.
(w - 2)**3/5
Let o = 10 + -7. Factor -2*i + 4*i**o + i + i**2 - 1 + 0 - 3*i**3.
(i - 1)*(i + 1)**2
Let k(c) be the first derivative of 7*c**4 - 12*c**3 + 4*c**2 - 63. Factor k(b).
4*b*(b - 1)*(7*b - 2)
Let a(x) be the first derivative of -4*x**3/27 - x**2/9 + 2*x/9 + 13. Solve a(g) = 0 for g.
-1, 1/2
Let z