*t**2 + 0*t**3 - 2/9.
-2*(t - 1)**2*(t + 1)**2/9
Suppose 0 = 4*j - 2*k - 8, 0*j + 2*j - 4 = -k. Let n(s) = s**2 - 1. Let b be n(j). Suppose 3*w - 3*w + 4*w**2 - 14*w**b = 0. Calculate w.
0, 2/7
Suppose 112 - 4 = 4*j. Let t = 27 - j. Let -2/5*s**5 + t - 4/5*s**4 + 4/5*s**2 + 2/5*s + 0*s**3 = 0. Calculate s.
-1, 0, 1
Suppose 16/15 + 8/15*t - 4*t**2 - 6/5*t**3 + 18/5*t**4 = 0. What is t?
-2/3, 2/3, 1
Suppose -261*c + 284*c - 1104 = 0. Factor 16*q - c*q**2 - 4/3.
-4*(6*q - 1)**2/3
Let v(g) be the second derivative of g**6/15 - 2*g**5/5 + 5*g**4/6 - 2*g**3/3 + 5*g. Factor v(d).
2*d*(d - 2)*(d - 1)**2
Suppose 3*p = -4*y + 17, -y - 71*p + 69*p = -8. What is g in 2/3 + 1/2*g**y - 4/3*g = 0?
2/3, 2
Suppose -1/6*n**3 - 7/6 - 5/2*n - 3/2*n**2 = 0. Calculate n.
-7, -1
Let k(h) = 13*h**2 - 17*h + 9. Let m = -4 - -6. Let w(i) = 2 - 3*i + 3*i**2 + i - m*i. Let p(f) = -4*k(f) + 18*w(f). Factor p(y).
2*y*(y - 2)
Let x(i) be the second derivative of i**6/20 - 2*i**5/5 + 13*i**4/12 - 4*i**3/3 + 3*i**2/4 - 4*i - 3. Factor x(o).
(o - 3)*(o - 1)**2*(3*o - 1)/2
Find c, given that 3/2*c**3 + 3/2*c**5 + 0*c**2 + 0*c + 0 + 3*c**4 = 0.
-1, 0
Let p(y) be the second derivative of -1/30*y**6 + 0 - y**2 - 3/4*y**4 - 2*y + 1/4*y**5 + 7/6*y**3. Factor p(n).
-(n - 2)*(n - 1)**3
Let q = 29 - 28. Let d(x) be the first derivative of 0*x**2 + x - 1/3*x**3 - q. Factor d(y).
-(y - 1)*(y + 1)
Suppose -2*r - 36 = -12. Let q be 8/3*r/(-8). Factor -d - d + d**2 + q*d + 0*d.
d*(d + 2)
Let j(o) be the first derivative of 2*o**4 + 12*o**3 + 27*o**2 + 27*o + 3. Factor j(r).
(2*r + 3)**3
Let x(p) be the third derivative of -5*p**5/4 - 5*p**4/2 - 2*p**3 + 6*p**2. Find i such that x(i) = 0.
-2/5
Let w be -1 + (-3)/(-6)*18. Let r = -8 + w. Find k such that 2/5*k + r*k**2 - 4/5*k**3 + 0*k**4 + 0 + 2/5*k**5 = 0.
-1, 0, 1
Suppose -4*t - 4 = 3*u, t = 2*u - t - 16. Let m(b) be the second derivative of 1/7*b**2 - 8/35*b**5 + 0 + 1/3*b**3 + 4/21*b**u + b. Factor m(y).
-2*(y - 1)*(4*y + 1)**2/7
Let z = -26 - -29. Suppose 0 = -2*d - 0*g + z*g, 2*d - 4*g = -2. Suppose 0 - 2/5*o**2 + 2/5*o**5 - 2/5*o**d + 0*o + 2/5*o**4 = 0. What is o?
-1, 0, 1
Let h(q) = -q**3 - q**2 + 1. Let t(g) = 10*g**3 + 16*g**2 - 2*g - 12. Let n(r) = -12*h(r) - t(r). Solve n(z) = 0.
0, 1
Let y(a) = -2*a**3 - 14*a**2 + 14*a - 3. Let b(v) = -3*v**3 - 27*v**2 + 27*v - 6. Let z(r) = -5*b(r) + 9*y(r). Factor z(m).
-3*(m - 1)**3
Suppose -u = 1, -2*s + u - 1 = -12. Let b(n) be the third derivative of 0*n + 0*n**4 + 0 + 0*n**3 + 1/120*n**6 + 2*n**2 + 1/210*n**7 - 1/30*n**s. Factor b(a).
a**2*(a - 1)*(a + 2)
Find b, given that 18/7*b**3 + 138/7*b + 36/7 - 104/7*b**2 = 0.
-2/9, 3
Suppose 30 = 2*p + 3*p. Suppose 12 = 2*d + p. Determine f so that -5*f**d + 2 + 13*f**2 + 4*f + f**4 - 4*f**2 - 11*f = 0.
1, 2
Let v be 2/6 + 0/2. Let s(m) be the second derivative of 0*m**2 + v*m**3 - 1/10*m**5 - m - 1/15*m**6 + 0 + 1/6*m**4. Solve s(u) = 0.
-1, 0, 1
Let m(c) = -2*c**2 + c + 1. Let q(p) = -p**2 + p. Let d(l) = -l + 3. Let k be d(4). Let i(g) = k*m(g) + 5*q(g). Suppose i(a) = 0. Calculate a.
1/3, 1
Let w(f) = -6*f**3 - 14*f**2 - 8*f - 2. Let c(o) = 18*o**3 + 42*o**2 + 23*o + 6. Let u(l) = -2*c(l) - 7*w(l). Suppose u(q) = 0. Calculate q.
-1, -1/3
Let u = 2 - -2. Factor -c**2 - c**4 + 3*c**u + 2*c - 2*c**2 - c**4.
c*(c - 1)**2*(c + 2)
What is d in 1/3*d**3 - d**2 + 1 - 1/3*d = 0?
-1, 1, 3
Let p(v) be the third derivative of 0*v + 1/8*v**4 + 2*v**2 + 1/210*v**7 + 0 + 1/24*v**6 + 7/60*v**5 + 0*v**3. Suppose p(y) = 0. Calculate y.
-3, -1, 0
Let f(u) be the first derivative of u**3/18 + u**2/12 - 6. Factor f(b).
b*(b + 1)/6
Factor 0*s**2 + 2/3 + 4/3*s**3 - 4/3*s - 2/3*s**4.
-2*(s - 1)**3*(s + 1)/3
Factor 0*f**3 - 6*f**3 + 3*f**4 - 31*f**4 - 2*f**3.
-4*f**3*(7*f + 2)
Factor -3101*w**3 + 290*w**2 + 1705*w**2 - 1231*w**3 + 12 - 276*w.
-3*(4*w - 1)*(19*w - 2)**2
Let o = -1019/42 + 161/6. Suppose 92/7*g**3 + 2/7*g + 48/7*g**2 + o*g**5 - 4/7 + 68/7*g**4 = 0. What is g?
-1, 2/9
Let q(v) = -4*v**2 + 11*v + 5. Let c(y) = -4*y**2 + 10*y + 6. Let r(u) = 5*c(u) - 6*q(u). Find l such that r(l) = 0.
0, 4
Let u(o) be the first derivative of 1/6*o**3 - 1/4*o - 1/20*o**5 - 1 + 0*o**4 + 0*o**2. Factor u(g).
-(g - 1)**2*(g + 1)**2/4
Let w be (-4)/6 - (-71)/3. Let g = 41 - w. Factor 3*l + 10*l**4 + l + 16*l**3 + 0*l + 8*l**3 + g*l**2.
2*l*(l + 1)**2*(5*l + 2)
Let u(f) be the third derivative of -f**5/30 + 3*f**4/4 - 8*f**3/3 - 19*f**2 - f. Factor u(h).
-2*(h - 8)*(h - 1)
Let h(q) be the first derivative of -q**5/40 - q**4/24 + 5*q + 3. Let w(t) be the first derivative of h(t). Find n, given that w(n) = 0.
-1, 0
Let b = 41 - -9. Suppose -3*m + 3*y + 41 = 8, 0 = 5*m - 4*y - b. Let 2 + 2 + 4*l**2 - 2*l**5 - 2*l**4 + 4*l**3 - m - 2*l = 0. What is l?
-1, 1
Let y = 1 + 1. Factor u**2 - y*u - 1 + 3*u - u.
(u - 1)*(u + 1)
Let q(p) be the first derivative of -p**4/28 - 4*p**3/21 - 43. What is a in q(a) = 0?
-4, 0
Let n(a) be the first derivative of -3*a**5/5 - 3*a**4 - 6*a**3 - 6*a**2 - 3*a - 3. Find m, given that n(m) = 0.
-1
Suppose q = -2*q - 0*q. Suppose q - 2/7*r**2 - 2/7*r = 0. Calculate r.
-1, 0
Determine i so that 1 - 1 - 6*i + 3*i**2 + 3 = 0.
1
Let r(a) be the third derivative of a**7/1050 + a**6/600 - a**5/75 - a**4/30 - 4*a**2. Find j such that r(j) = 0.
-2, -1, 0, 2
Let r(n) be the second derivative of 5*n**4/66 + 8*n**3/11 - 5*n**2/11 + 37*n. Factor r(c).
2*(c + 5)*(5*c - 1)/11
Let u(t) = 4*t**2 + t - 1. Let m be u(1). Suppose m*q + p - 7 = 0, 0 = 4*q + 2*p - 5 - 1. Factor -2*b**4 + 3*b**5 + q*b**2 - 3*b**3 + 4 - 4.
b**2*(b - 1)*(b + 1)*(3*b - 2)
Let w(k) = -2*k**4 + 5 - k**2 - 3*k**4 - 7*k**3 - 4*k**4 + 3*k**4. Let o(u) = -u**4 - u**3 + 1. Let r(l) = -15*o(l) + 3*w(l). Suppose r(d) = 0. What is d?
-1, 0
Let z(n) be the second derivative of 2*n - 1/24*n**3 + 0*n**2 - 1/48*n**4 + 0. Suppose z(i) = 0. What is i?
-1, 0
Factor 2/5 + 4/15*r - 2/15*r**2.
-2*(r - 3)*(r + 1)/15
Let k(x) be the second derivative of x**5/5 + x**4/3 - 6*x**3 - 18*x**2 + 12*x + 1. Factor k(j).
4*(j - 3)*(j + 1)*(j + 3)
Let n(g) be the first derivative of -g**3/2 - 9*g**2/4 + 6*g + 5. Factor n(k).
-3*(k - 1)*(k + 4)/2
Let y(i) = -i**3 - 6*i**2 - 2*i - 8. Let s be y(-6). Factor -4*j - 3*j**2 - 1 - j**3 - 3*j**3 - j**s - 3*j**2.
-(j + 1)**4
Suppose 0 = -5*u - 25, -5*z + 2*u + 10 = -0*z. Let 0*k**2 - 3/4*k**5 + z*k + 0*k**3 + 0 - 3/2*k**4 = 0. What is k?
-2, 0
Let x(f) = 6*f**3 - 26*f**2 + 14*f. Let v(r) = 2*r**3 - 9*r**2 - 4*r - 2*r**3 + 2*r**3 + 9*r. Let w(i) = -14*v(i) + 5*x(i). Suppose w(b) = 0. Calculate b.
0, 2
Let a(m) = -m**5 - m**2 - m. Let u(q) = 4*q**5 - 4*q**4 + 8*q**3 + 16*q**2 + 4*q - 4. Let z(f) = 8*a(f) + u(f). Determine y so that z(y) = 0.
-1, 1
Let r(i) be the first derivative of 8*i**5/21 - 11*i**4/14 + 2*i**3/21 + 13*i**2/21 - 2*i/7 + 32. Solve r(q) = 0.
-3/5, 1/4, 1
Let c(a) be the first derivative of 5*a**6/6 + 3*a**5 + 5*a**4/2 + 7. Solve c(j) = 0 for j.
-2, -1, 0
Let h = 53 + -50. Let d(l) be the third derivative of -1/12*l**4 + 0*l**h + 0 - 1/105*l**7 + 1/30*l**5 - l**2 + 1/60*l**6 + 0*l. Factor d(z).
-2*z*(z - 1)**2*(z + 1)
Let r be (-15)/9*(-6)/5. Factor -23*f**2 - 48*f + 0*f**r + 2*f**2 - 12.
-3*(f + 2)*(7*f + 2)
Solve -2 - 4*y**3 + 57*y - 56*y + 5*y**2 + 3*y**3 - 3*y**4 = 0.
-1, 2/3, 1
Suppose 7 = -9*n + 7. Factor 0*y - 2/5*y**2 + n.
-2*y**2/5
Let c(b) = 14*b**2 - 38*b + 14. Suppose w + 2 = -5*p, 5*p - p + 2*w + 4 = 0. Let m(i) = i + p - 2 + 1. Let g(z) = -c(z) - 6*m(z). Factor g(o).
-2*(o - 2)*(7*o - 2)
Factor -135*l**2 + 8 + 136*l**2 + 7*l + 2.
(l + 2)*(l + 5)
Let t be ((-24)/(-15) - 2)*-10. Let g(m) be the first derivative of 3/7*m**2 - 1/7*m**t - 1/21*m**6 + 6/35*m**5 + 2 - 2/7*m - 4/21*m**3. Factor g(v).
-2*(v - 1)**4*(v + 1)/7
Let p be 1*0*-3*(-3)/36. Factor -2/3*c**4 + 0 + 2/3*c**2 + p*c + 0*c**3.
-2*c**2*(c - 1)*(c + 1)/3
Let x(o) be the third derivative of 0*o - 1/18*o**3 - 1/630*o**7 + 1/48*o**4 - 10*o**2 + 1/90*o**5 - 1/120*o**6 + 1/672*o**8 + 0. Solve x(k) = 0 for k.
-1, 2/3, 1
Let y(w) be the first derivative of -w**6/165 - 2*w**5/55 + w**4/33 + 4*w**3/11 - 9*w**2/11 + 4*w - 6. Let k(j) be the first derivative of y(j). Factor k(a).
-2*(a - 1)**2*(a + 3)**2/11
Suppose 3*i + 2 = -5*m, 3*m + 0*m = 5*i + 26. Let s be -51*2/(-30) + -3. Factor s*q**m - 2/5*q**3 +