ve -b*d**3 + 1/2*d + 0*d**2 + 0 = 0.
-1, 0, 1
Let x = 14/293 + 246971/586. Let w = -414 + x. Factor w*l + 15*l**3 - 15/2*l**4 - 15*l**2 - 3/2 + 3/2*l**5.
3*(l - 1)**5/2
Let p(g) be the second derivative of -1/21*g**3 - 2*g + 0 - 1/42*g**4 + 2/7*g**2. Determine t so that p(t) = 0.
-2, 1
Let k(u) = -2*u**2 + 2*u. Suppose 4 + 14 = -3*z. Let g(a) = -2*a + a + 2*a - a**2. Let x(j) = z*g(j) + 2*k(j). Factor x(i).
2*i*(i - 1)
Let m(x) = -x**3 - 3*x**2 + 3*x - 5. Let v(w) = -w**2 + w - 2. Suppose -y = b - 2*b + 11, -2*b = -3*y - 32. Let o(p) = y*v(p) + 4*m(p). Solve o(i) = 0 for i.
-1, 0, 1/2
Let p(u) be the first derivative of 7/2*u**2 - 3 - 3/4*u**4 + 2/3*u**3 + 2*u. Suppose p(w) = 0. What is w?
-1, -1/3, 2
Suppose 1 = -14*w + 1. Let d(m) be the first derivative of 0*m**2 - 2 + w*m**3 + 0*m + 1/2*m**4. Factor d(g).
2*g**3
Solve -3/5*i**4 - 6/5*i**3 + 3/5*i + 3/5*i**5 + 6/5*i**2 - 3/5 = 0.
-1, 1
Let k(h) be the first derivative of 49*h**5/15 - 7*h**4/4 - 8*h**3/3 - 2*h**2/3 - 13. Determine r so that k(r) = 0.
-2/7, 0, 1
Suppose 2*i = -5 - 19. Let n = -10 - i. Determine c so that -1/4*c + 5/4*c**5 - n*c**4 + 5/2*c**2 - c**3 - 1/2 = 0.
-1, -2/5, 1
Let b(i) = -i**5 + i. Let t(x) = -2*x**4 + 4*x**3 + 4*x**2 - 4*x - 2. Let l be ((-1)/(-4))/(2/8). Let w be 3/6 + l/2. Let u(j) = w*t(j) + 2*b(j). Factor u(g).
-2*(g - 1)**2*(g + 1)**3
Suppose -k + 5 = 1. Determine h, given that -3 - 6 + 3 + 8*h + k*h**2 - 6 = 0.
-3, 1
Let i(r) be the first derivative of 0*r - 3 + 0*r**2 + 2/3*r**3. Factor i(j).
2*j**2
Let z(r) = r**3 + r**2 + 4. Let q be z(0). Factor 16 + 10*o**3 + o**2 + 4*o**q - 8*o**2 - 5*o**2 - 8*o - 6*o**4.
-2*(o - 2)**3*(o + 1)
Let l(v) be the third derivative of 0 + 0*v - 1/2*v**3 + 1/2160*v**6 + 2*v**2 + 1/180*v**5 + 1/36*v**4. Let i(s) be the first derivative of l(s). Factor i(j).
(j + 2)**2/6
Suppose 3*z = 2*g - 4, -4*z + 14*g - 16*g + 4 = 0. Let -3/5*t**3 + z + 12/5*t**2 - 12/5*t = 0. What is t?
0, 2
Let s = 7 + 5. Let v be 5/s + 2/(-12). Factor -v*u**2 - 1 + u.
-(u - 2)**2/4
Let d be (-10)/(-6)*3/(-15). Let o = 5/6 + d. Factor o*k**3 - 3/2*k + 0*k**2 + 1.
(k - 1)**2*(k + 2)/2
Suppose 0 = 27*t - 28*t. Let b = -2 - -4. Find k such that t + 1/2*k**3 - 2*k**b + 2*k = 0.
0, 2
Let a(k) be the third derivative of k**5/30 - k**4/6 + k**3/3 - 38*k**2. Solve a(n) = 0.
1
Let u = -769/1020 - -15/68. Let r = -1/5 - u. Factor -z + r - 1/3*z**3 + z**2.
-(z - 1)**3/3
Let w be 1 + 0 - (-1)/(-2). Let g be (-9)/(-6) + -1 + 0. Factor g*s + 0 - w*s**2.
-s*(s - 1)/2
Suppose -2 = -j - 8. Let t be (4/j)/((-4)/24). Let -2*p**3 + 7*p - 13*p + t - 2 + 6*p**2 = 0. What is p?
1
Suppose x = 3*x - 108. Let p be (-29)/(-9) - 12/x. Determine g so that 3 - 2 + 6*g**2 + g**4 + g + p*g + 2*g**3 + 2*g**3 = 0.
-1
Let q(p) be the second derivative of -p**6/180 + p**5/60 + p**4/72 - p**3/18 + 24*p. Solve q(z) = 0 for z.
-1, 0, 1, 2
Suppose 0*k + k - 4*n = 7, -k - 4*n = 1. Factor 0*b + 0*b**3 - 3*b**5 + 6*b**k - 3*b.
-3*b*(b - 1)**2*(b + 1)**2
Let y(z) = -2*z**2 - 13*z - 8. Let x(s) be the third derivative of -s**5/30 - 7*s**4/12 - 4*s**3/3 - s**2. Let h(j) = -5*x(j) + 6*y(j). Solve h(g) = 0.
-2
Let j be (3/(-9))/(7/(-42)). Let m(k) be the first derivative of 1/4*k**2 + 0*k + j - 1/6*k**3. Suppose m(h) = 0. What is h?
0, 1
Let h(u) = -5*u**3 + 3*u**3 + 2*u + 5 - 7*u + 8*u**2. Let z(m) = -3*m**3 + 9*m**2 - 6*m + 6. Let d(q) = 6*h(q) - 5*z(q). Let d(b) = 0. Calculate b.
-1, 0
Let j(l) be the second derivative of 3*l**5/5 - 3*l**4/4 + l. Factor j(z).
3*z**2*(4*z - 3)
Let x(v) be the third derivative of 3*v**8/280 - v**7/70 - v**6/40 + v**5/20 - v**4/40 + 7*v**2. Let x(i) = 0. Calculate i.
-1, 0, 1/3, 1/2, 1
Let i(q) be the second derivative of -q**6/45 + q**5/5 - 2*q**4/3 + 10*q**3/9 - q**2 + 5*q. What is h in i(h) = 0?
1, 3
Find s such that 0*s**2 + 1/4*s**3 + 1/4*s**4 + 0*s + 0 = 0.
-1, 0
Let f(z) be the second derivative of z + 0 + 1/3*z**3 - 1/8*z**4 + 1/60*z**5 + z**2. Let j(c) be the first derivative of f(c). Factor j(v).
(v - 2)*(v - 1)
Solve -4/7*w + 0 - 1/7*w**2 = 0.
-4, 0
Let w(i) = -2*i**2 + 4*i + 2. Let n(v) = -v**2 + v + 1. Let s(z) = -4*n(z) + w(z). Solve s(d) = 0 for d.
-1, 1
Let b = 116 - 344/3. Solve 8/3*g + 8/3 + 2/3*g**4 - b*g**3 - 2*g**2 = 0 for g.
-1, 2
Let k be (1*-9)/3 - -6. Factor -2*u**3 - u**2 + u**k + 0*u**3.
-u**2*(u + 1)
Let 0*d**2 + 1/5*d - 1/5*d**3 + 0 = 0. Calculate d.
-1, 0, 1
Let z(r) be the second derivative of -r**5/80 + r**4/12 - 5*r**3/24 + r**2/4 - r. Factor z(x).
-(x - 2)*(x - 1)**2/4
Let p(x) be the first derivative of -x**3/24 - x**2/8 - x/8 + 21. Solve p(c) = 0 for c.
-1
Suppose -2*b + 20 = 2*b. Suppose 2*r = b*n + 1 - 15, 2*r = 4*n - 12. Suppose 4/11*h + 0 - 2/11*h**n = 0. What is h?
0, 2
Let g(j) = 5*j**3 + j**2 - 2*j + 2. Let o(i) = 6*i**3 - 3*i + 3. Let f(n) = -3*g(n) + 2*o(n). Find k, given that f(k) = 0.
-1, 0
Let f(n) = n**5 + 5*n**4 + 6*n**3 - 2*n**2 - 7*n. Let v(t) = -t**5 - t**4 + t. Let o(l) = -f(l) - 3*v(l). Determine u so that o(u) = 0.
-1, 0, 1, 2
Let c be (63/(-105))/((-2)/10). Suppose 4*d = -c*d. Suppose -1/2*p**5 - 1/2*p**3 + d + 0*p**2 + 0*p - p**4 = 0. What is p?
-1, 0
Let b = -39 + 36. Let x be ((-9)/(-18))/(b/(-4)). Solve 2/3*o**2 + x*o - 4/3 = 0 for o.
-2, 1
Let w(k) be the second derivative of k**6/135 - k**5/90 - k**4/27 + 40*k. Factor w(n).
2*n**2*(n - 2)*(n + 1)/9
Let j = -29/3 + 10. Find v such that 5/3*v**3 - 4/3*v + j*v**4 + 2*v**2 - 8/3 = 0.
-2, 1
Let y be 39/6 - (-40)/(-8). Factor 3/2*v**3 - y*v**2 + 0*v + 0.
3*v**2*(v - 1)/2
Let s(o) be the first derivative of 9*o**5/5 + 10*o**4 + 56*o**3/3 + 16*o**2 - o + 6. Let z(q) be the first derivative of s(q). Let z(t) = 0. What is t?
-2, -2/3
Suppose j - 3*j = 168. Let u be 1/6 + (-7)/j. Suppose -1/2*c + 1/4 + u*c**2 = 0. Calculate c.
1
Let r(h) be the third derivative of 0*h**3 - 2/105*h**5 + 0*h + h**2 + 1/210*h**6 + 4/735*h**7 + 0 - 1/392*h**8 + 1/84*h**4. Find s such that r(s) = 0.
-1, 0, 1/3, 1
Determine b, given that -2/15*b**3 + 0 - 8/15*b**2 + 0*b = 0.
-4, 0
Let a = -10 - -15. Factor 4*x**2 - 7*x + a*x - 2*x**2.
2*x*(x - 1)
Let u(o) be the first derivative of 2*o**3/3 - 6*o**2 + 10*o + 9. What is p in u(p) = 0?
1, 5
Let j = -7 + 12. Suppose -j*s = -4*p - 5, -s - 5 = s - 3*p. Let -11*n**s + 4*n**5 - 2*n**4 + 0 + 4*n**2 - 7*n - 2 + 14*n**3 = 0. Calculate n.
-1, -2/7, 1
Let b = -15 + 25. Suppose b*n - 13*n = 0. Factor 0*t + 0 - 1/4*t**3 + 1/4*t**4 + n*t**2.
t**3*(t - 1)/4
Solve 3/7*t**4 + 9/7*t**2 + 6/7*t + 9/7*t**5 - 27/7*t**3 + 0 = 0 for t.
-2, -1/3, 0, 1
Let u(a) be the second derivative of -1/7*a**3 + 0 - 2/7*a**2 - 1/42*a**4 - 5*a. Factor u(h).
-2*(h + 1)*(h + 2)/7
Let m be 0 + 0 + 1*2. Let i = 1 + m. Determine h so that 4*h**3 + h**4 - 3*h**3 - i*h**3 + 2*h - 1 = 0.
-1, 1
Factor 43*k + 5*k**2 + 5*k + 7*k.
5*k*(k + 11)
Let p be -1 + (-1 - (-20)/2). Let r = p - 5. Factor -2*a - a**3 + a + r*a**3 - a**3.
a*(a - 1)*(a + 1)
Factor -2*n - 12/11 - 6/11*n**2.
-2*(n + 3)*(3*n + 2)/11
Let f = -2851/9 - -317. Let 2/9*t**2 + 2/9*t - 2/9*t**3 - f*t**4 + 0 = 0. Calculate t.
-1, 0, 1
Let h(c) = c**2 + 5*c. Let r be h(-5). Suppose 5*g - 3*g - 4 = -3*y, r = -4*g + 2*y + 8. Factor g*p**4 - 7*p**3 + 2*p**2 + 0*p**3 + 3*p**3.
2*p**2*(p - 1)**2
Factor 0 + 0*z**2 + 2/5*z**3 + 0*z**4 + 0*z - 2/5*z**5.
-2*z**3*(z - 1)*(z + 1)/5
Let u(d) be the third derivative of -d**5/90 - d**4/54 + d**3/27 + 15*d**2. Factor u(g).
-2*(g + 1)*(3*g - 1)/9
Factor 2/3*p**2 + 0 - 1/3*p**3 + 0*p.
-p**2*(p - 2)/3
Suppose 314 - 298 = 4*h. Suppose 3*g = 4*u + 28 - 3, -g - 2*u = 5. Find w, given that -2/3*w - 28/9*w**h + 2/3*w**g + 32/9*w**2 - 4/9 = 0.
-1, -2/7, 1/2, 1
Let s = 56 - 54. Let -2/11*h**s + 2/11 - 2/11*h**3 + 2/11*h = 0. What is h?
-1, 1
Let g(q) = -q**3 + q**2 + 1. Let j(o) = -6*o**3 + 4*o**2 + 6*o + 5. Let x(v) = 5*g(v) - j(v). Factor x(s).
s*(s - 2)*(s + 3)
Let b(m) be the third derivative of -m**6/20 + 8*m**5/15 - 5*m**4/12 + 12*m**2. Factor b(a).
-2*a*(a - 5)*(3*a - 1)
Let i(d) = -4 - 6*d**2 + d + 2*d - d**2 + 8*d**2. Let r be i(-4). Factor r*l + 0*l - l - l**2.
-l*(l + 1)
Let b = 24 + -16. Suppose 5*r - 2*q + b = 0, -2*q + 3*q - 4 = 0. Solve 4/3*v**3 - 4/9*v + r + 2/9*v**2 = 0.
-2/3, 0, 1/2
Let b(r) be the third derivative of -r**6/120 + r**5/30 - r**4/18 - r**3/6 - r**2. Let g(f) be the fir