9*g**2 + 27*g + 2. Let i(w) = 0. Calculate w.
-3
Suppose 0*a + 14 = a. Let f = a + -10. Factor f*l + 3*l**2 + 5 - 5*l**2 + 2*l - 9.
-2*(l - 2)*(l - 1)
Let c = 25 - 17. Suppose c = -p + 5*p. Find o, given that 1/4 - 1/2*o**p + 1/4*o**4 - 1/2*o**3 + 1/4*o**5 + 1/4*o = 0.
-1, 1
Suppose -6 = 2*d - 10. Let q(o) be the second derivative of -1/42*o**3 + 1/14*o**2 + 1/140*o**5 - 1/84*o**4 + d*o + 0. Solve q(p) = 0 for p.
-1, 1
Factor 0*g + 2/3*g**2 + 0.
2*g**2/3
Suppose 4*y = y - 3303. Let l = -9899/9 - y. Factor -l*p**4 - 8/3*p**3 - 2*p**2 + 0 - 4/9*p.
-2*p*(p + 1)**2*(5*p + 2)/9
Let d(f) = f**2 - f + 1. Let t(a) = -3*a**2 + 4*a - 4. Let o(y) = 4*d(y) + t(y). Factor o(n).
n**2
Let s be (-1 - 2)*(0 - (-20)/(-12)). Let k(g) be the second derivative of 0*g**2 + 1/10*g**s - 1/6*g**4 + 0 + 0*g**3 - 2*g. Let k(n) = 0. What is n?
0, 1
Let c(s) = -s**5 - s**4 + s**2 + s + 1. Let z(w) = -8*w**5 - 12*w**4 - 2*w**3 + 12*w**2 + 10*w + 6. Let o(h) = 6*c(h) - z(h). Factor o(k).
2*k*(k - 1)*(k + 1)**2*(k + 2)
Let n(s) be the first derivative of s**4/3 + 8*s**3/9 - 26*s**2/3 + 40*s/3 - 21. Suppose n(a) = 0. What is a?
-5, 1, 2
Let 42/11*p**2 - 4/11*p**3 + 8/11 + 40/11*p - 14/11*p**4 = 0. Calculate p.
-1, -2/7, 2
Let u = -174 - -174. Suppose -2/5*d**2 + u + 0*d = 0. Calculate d.
0
Let r(c) be the third derivative of c**8/840 + 2*c**7/525 - c**6/150 - 2*c**5/75 + c**4/60 + 2*c**3/15 - 2*c**2 + 9. Suppose r(f) = 0. Calculate f.
-2, -1, 1
Let h be 8/(-36) - (145/45)/(-1). Factor -1/2*z**4 + 0*z**h + 0 + 0*z**2 + 0*z.
-z**4/2
Let h(r) be the third derivative of -r**8/168 + 2*r**7/105 - r**5/15 + r**4/12 + 4*r**2. Factor h(x).
-2*x*(x - 1)**3*(x + 1)
Suppose 6*l - 13*l - 4 + 3*l + 20*l**2 + 6*l**3 - 18*l**3 = 0. What is l?
-1/3, 1
Suppose -6*u**3 - 3*u + 6 - 8*u**3 + 5*u**3 - 6*u**3 - 24*u**2 = 0. What is u?
-1, 2/5
Let r = 1366/565 - 2/113. Suppose -24/5*y - 8/5 - 2/5*y**4 - 26/5*y**2 - r*y**3 = 0. What is y?
-2, -1
Let g(m) be the second derivative of -2*m**6/75 - m**5/5 - 8*m**4/15 - 8*m**3/15 - m. Factor g(w).
-4*w*(w + 1)*(w + 2)**2/5
Let v = 227 - 222. Let y(w) be the third derivative of 1/3*w**4 + 4*w**2 + 0 + 1/30*w**6 + 1/6*w**v + 0*w + 1/3*w**3. Determine u so that y(u) = 0.
-1, -1/2
Let 0 + 6/7*b**3 + 2/7*b**2 - 8/7*b**5 + 0*b + 0*b**4 = 0. Calculate b.
-1/2, 0, 1
Suppose 2 + 3 = 5*y. Let d be y/6*(-24)/(-3). Factor -d*i + 2/3 + 2/3*i**2.
2*(i - 1)**2/3
Let r = -10 - -15. Solve 10120*g**3 + 720*g + 2044*g**5 + 4200*g**2 + 5159*g**r + 15435*g**4 + 48 + 1640*g**3 = 0 for g.
-1, -2/7
Let a = -8 + 15. Let m be (3 + (-4)/1)*-3. Let 22*v**m - 5*v**4 + 18*v + 4*v**4 + a*v**4 + 30*v**2 + 4 = 0. What is v?
-1, -2/3
Let b(g) be the second derivative of 3*g**5/16 - g**4/4 - g**3/8 + 3*g. Factor b(t).
3*t*(t - 1)*(5*t + 1)/4
Let j be (-225)/(-20) - 6/(-8). Suppose -1/2*z**2 + 0 - j*z**4 + 17/4*z**3 + 45/4*z**5 + 0*z = 0. What is z?
0, 1/3, 2/5
Let i(t) = 9*t - 10*t**2 + 13*t**2 - 20 - t. Let r(o) = -2*o**2 - 5*o + 13. Let v(y) = -5*i(y) - 8*r(y). Let v(q) = 0. What is q?
-2, 2
Let j(i) be the second derivative of 0 - 1/7*i**3 - 2*i + 3/70*i**5 - 2/7*i**2 + 1/105*i**6 + 1/42*i**4. Factor j(k).
2*(k - 1)*(k + 1)**2*(k + 2)/7
Let u(g) be the third derivative of 0 - 1/54*g**4 - 1/270*g**5 - 1/27*g**3 + 0*g - 5*g**2. Factor u(x).
-2*(x + 1)**2/9
Let k(r) be the second derivative of 2*r**7/63 + 14*r**6/45 + 2*r**5/3 - 2*r**4 - 6*r**3 + 18*r**2 - 6*r. Factor k(t).
4*(t - 1)**2*(t + 3)**3/3
Let s(z) be the third derivative of -z**5/180 - z**4/24 + 2*z**3/9 + 26*z**2. Solve s(a) = 0.
-4, 1
Solve 64/5 - 16*h - 2/5*h**4 - 84/5*h**2 - 23/5*h**3 = 0.
-4, 1/2
Let s be 0/(-2) - (-4)/(-4). Let j be ((-25)/4)/s + -3. Let 13/2*n**4 - 1/2 - 6*n**2 - 1/2*n**3 + 15/4*n**5 - j*n = 0. Calculate n.
-1, -2/5, -1/3, 1
Let z(a) be the third derivative of -1/3*a**4 + 0 + 1/20*a**6 + 0*a**5 + 0*a**3 + 1/105*a**7 + 0*a - 3*a**2. Factor z(y).
2*y*(y - 1)*(y + 2)**2
Let k(s) = 21*s**2 - 64*s + 115. Let b(w) = 10*w**2 - 32*w + 58. Let r(n) = -13*b(n) + 6*k(n). Factor r(o).
-4*(o - 4)**2
Let o be (28/(-15))/(54/45) + 2. Let f(w) be the second derivative of 3*w + 1/3*w**4 + 1/3*w**2 - o*w**3 - 2/15*w**5 + 0 + 1/45*w**6. Factor f(n).
2*(n - 1)**4/3
Let j(v) = -v - 6. Let z be j(-8). Let q(m) = 3*m**2 + 4 - 3*m**2 + m**z - 3 + m. Let w(s) = s**3 + 2*s**2 + s - 1. Let x(u) = q(u) + w(u). Factor x(t).
t*(t + 1)*(t + 2)
Let g be 6 - (-5 - -4)*-3. Let z(f) be the first derivative of -g + 2*f + 1/6*f**3 + f**2. Factor z(m).
(m + 2)**2/2
Let s(d) be the second derivative of d**4/16 - d**3/4 - 29*d. Let s(b) = 0. What is b?
0, 2
Suppose 32 = 2*o - 5*t, 5*t = -3*o - 3 + 1. Suppose -o*q = -2*q - 8. Let 2*v**5 - 4*v**4 + 0*v**3 - q*v + 4*v**2 + 0*v**3 = 0. Calculate v.
-1, 0, 1
Let m(l) be the first derivative of 0*l - 1/9*l**3 - 1/2*l**2 + 6. Factor m(v).
-v*(v + 3)/3
Let h(x) = -12*x**3 + 21*x**2 - 9*x + 15. Let a(l) = l**3 - l**2 - 1. Suppose 4 = -3*w + 1. Let c(r) = w*h(r) - 15*a(r). Determine f, given that c(f) = 0.
-3, 0, 1
Let g(j) = -18*j**4 - 27*j**3 - 3*j**2 + 3*j. Let b(r) = -37*r**4 - 54*r**3 - 7*r**2 + 5*r. Let s(k) = 3*b(k) - 5*g(k). Let s(l) = 0. Calculate l.
-1, -2/7, 0
Let t(o) be the first derivative of -o**6/30 + o**4/12 + 5*o + 6. Let u(d) be the first derivative of t(d). Factor u(v).
-v**2*(v - 1)*(v + 1)
Let r(b) be the second derivative of 2/11*b**3 - 1/66*b**4 - 9/11*b**2 + 0 + 5*b. What is c in r(c) = 0?
3
Let b(l) = l**2 - l - 1. Let v(m) = 8*m**2 - 8*m - 3. Let t(y) = -7*y**2 + 7*y + 4. Let c(n) = -3*t(n) - 2*v(n). Let o(x) = 6*b(x) - c(x). Factor o(h).
h*(h - 1)
Suppose 3*w + 0*w - 18 = -4*v, -3*v + 15 = 3*w. Factor 0 - 2/3*r - 2/3*r**w.
-2*r*(r + 1)/3
Let d be (-136)/(-6) + 10/15. Let a = d + -23. What is q in 1/3*q**2 - q**3 + 0*q + q**4 + 0 - a*q**5 = 0?
0, 1
Let i(u) = -u**3 + 4*u**2 + 2*u - 6. Let q be i(4). Determine t, given that 2*t**3 - q + 2*t**3 + 2 - 4*t + 4*t**4 - 4*t**2 = 0.
-1, 0, 1
Let a(q) be the third derivative of 0*q**3 - 2*q**2 + 0*q**4 + 1/210*q**5 + 0 + 0*q - 1/420*q**6. Suppose a(m) = 0. Calculate m.
0, 1
Let -114*p**3 + 20*p - 4*p**5 - 8 - 8*p**2 - 10*p**4 + 26*p**4 + 98*p**3 = 0. Calculate p.
-1, 1, 2
Let p(t) be the second derivative of -t**7/42 - 2*t**6/15 - t**5/10 + t**4/3 + t**3/2 - 12*t. Suppose p(v) = 0. What is v?
-3, -1, 0, 1
Let h(a) be the first derivative of 0*a**2 - 5 + 0*a**4 - 1/10*a**5 + 0*a + 1/6*a**3. Solve h(j) = 0.
-1, 0, 1
Let q(x) be the third derivative of x**5/120 - x**4/12 - 5*x**3/12 - 9*x**2. Suppose q(v) = 0. What is v?
-1, 5
Let y(v) be the first derivative of -1/4*v**2 - 1 - v + 5/48*v**4 - 1/8*v**3. Let b(l) be the first derivative of y(l). Factor b(k).
(k - 1)*(5*k + 2)/4
Let d(u) be the second derivative of 0*u**3 + 2*u + 1/120*u**6 + 0*u**2 + 1/80*u**5 + 0*u**4 + 0. Solve d(h) = 0.
-1, 0
Suppose -5*x + 5*h = -3*x, 5*x = -3*h. Let f(w) be the third derivative of 0 + 0*w + x*w**4 - w**2 + 0*w**3 - 1/150*w**5. Determine g, given that f(g) = 0.
0
Let y(b) = b**2 - b - 1. Let j(i) = 5*i**2 - 6*i - 5. Let z(c) = -c**3 + 9*c**2 + 10*c + 1. Let g be z(10). Let r(n) = g*j(n) - 6*y(n). Factor r(p).
-(p - 1)*(p + 1)
Let k(m) be the first derivative of m**4/18 + 4*m**3/27 - 1. Suppose k(f) = 0. Calculate f.
-2, 0
Let g(j) be the third derivative of j**5/42 + j**4/84 + 16*j**2. Factor g(o).
2*o*(5*o + 1)/7
Let o(k) be the first derivative of -5*k**4/4 - 5*k**3 - 5*k**2 + 12. Factor o(p).
-5*p*(p + 1)*(p + 2)
Let u(r) be the third derivative of r**5/210 - r**4/84 - 2*r**3/21 - 14*r**2. Factor u(y).
2*(y - 2)*(y + 1)/7
Let g(b) be the first derivative of -b**4/34 + 4*b**3/51 + b**2/17 - 4*b/17 - 3. Determine z, given that g(z) = 0.
-1, 1, 2
Suppose 15 = 4*t - 5. Suppose 2*h**2 - t*h**4 + 2*h**4 + 6*h**3 - 5*h**2 = 0. What is h?
0, 1
Suppose 0 = -3*b + 13 + 2. Factor -3*h**3 + 3*h - b + 5.
-3*h*(h - 1)*(h + 1)
Suppose 0*n = -5*n - 20. Let a(s) = -14*s**3 + 18*s**2 - 8*s + 4. Let p(u) = u**3 - u**2 - u + 1. Let i(b) = n*p(b) + a(b). Solve i(c) = 0 for c.
0, 2/9, 1
Let g(z) = -3*z**2 - 4. Let v = 4 - 4. Suppose o + v + 3 = 0. Let t(u) = u**2 + 2. Let s(m) = o*g(m) - 7*t(m). Factor s(w).
2*(w - 1)*(w + 1)
Let w = -1/6 - -2/3. Let m = 3/5 - 1/10. Solve m*i**2 - 1/2 + w*i - 1/2*i**3 = 0.
-1, 1
Let v(r) be the second derivative of 1/10*r**5 + 0*r**4