*3 + 3 - 192*o + 33 - o**3 + 285*o**2 = 0.
2/5, 3
What is o in 0*o**4 + 0*o**2 - 2/9*o**3 + 2/9*o**5 + 0*o + 0 = 0?
-1, 0, 1
Suppose 7*h + 7 = 4*h - 5*c, -h - 4*c = 14. Suppose -2*z = -h*z. Solve -2*d**4 - 2*d**3 + 2*d**2 + z*d**3 + 2*d**2 = 0 for d.
-2, 0, 1
Let n(x) = 4*x**2 - 2*x - 11. Let v(k) = k**2 - 1. Let w(g) = -2*n(g) + 6*v(g). Solve w(l) = 0.
-2, 4
Let i be -1 + 2 + -3 - -11. Suppose i*q = -k + 4*q + 7, 5*k - 5*q = 5. Factor z**2 - z**k + z**2 - 2*z.
z*(z - 2)
Let c(m) = m**2 + m. Let p(k) = -5*k**2 - 5*k. Let o = -3 + 6. Let a(j) = o*c(j) + p(j). Factor a(g).
-2*g*(g + 1)
Let c be (-28)/49 - (-36)/14. Let s = -35 - -107/3. What is t in s - 1/3*t**c - 1/3*t = 0?
-2, 1
Let i(p) be the third derivative of 0*p + 0*p**4 - 1/150*p**5 - 3*p**2 + 0*p**3 + 0. Factor i(k).
-2*k**2/5
Let j = 24 - 22. Let w(g) be the first derivative of -1 - g + 0*g**j + 1/3*g**3. Find t such that w(t) = 0.
-1, 1
Let t(g) = g - 1. Let n(d) = d**2 + 1. Let r(q) = 2*n(q) + 2*t(q). Factor r(b).
2*b*(b + 1)
Let p(t) be the first derivative of t**6/12 - t**4/2 + t**3/3 + 3*t**2/4 - t + 4. Factor p(z).
(z - 1)**3*(z + 1)*(z + 2)/2
Let f be 4/12 + (-7)/3. Let z(y) = -3*y**2 - 2*y + 5. Let h(b) = 21*b**2 + 15*b - 36. Let w(c) = f*h(c) - 15*z(c). Factor w(i).
3*(i - 1)*(i + 1)
Let z(q) be the third derivative of -q**8/1680 - q**7/840 - q**3/2 - 2*q**2. Let c(f) be the first derivative of z(f). Factor c(s).
-s**3*(s + 1)
Factor -4*o**3 - 5*o**2 - 4*o - 3*o**2 - 8*o**2 + 8*o**2.
-4*o*(o + 1)**2
Let h(d) = d**2 + d + 2. Let q be h(0). Suppose 2*g + 2*j - 8 = 0, q*j - 4 = -0. Determine x so that -2/3*x**g - 2/3*x + 2/3*x**3 + 2/3 = 0.
-1, 1
Suppose -u = -3*u - 3*a - 8, -3*a = 4*u + 4. Let s(q) be the first derivative of -u*q**2 - 2/3*q**3 - 2*q + 3. Determine g so that s(g) = 0.
-1
Let z(f) be the third derivative of f**9/7560 - f**8/2100 + f**6/450 - f**5/300 + 5*f**3/6 - 2*f**2. Let i(s) be the first derivative of z(s). Factor i(v).
2*v*(v - 1)**3*(v + 1)/5
Let r(t) be the third derivative of t**2 + 0 - 1/60*t**6 + 1/6*t**5 + 0*t - 2/3*t**4 + 4/3*t**3. Solve r(d) = 0 for d.
1, 2
Let y(a) = -a + 9. Let g be y(6). Let r(l) be the third derivative of -l**2 + 1/105*l**7 + 1/10*l**5 - 1/20*l**6 - 1/12*l**4 + 0*l + 0*l**g + 0. Factor r(t).
2*t*(t - 1)**3
Let g be (6/(-5))/(8/(240/(-27))). Factor -2/9*i**4 - g*i**2 + 8/9*i**3 - 2/9 + 8/9*i.
-2*(i - 1)**4/9
Let g(y) be the first derivative of y**7/420 + 7*y**6/540 - y**5/30 + y**3 - 3. Let j(c) be the third derivative of g(c). Factor j(p).
2*p*(p + 3)*(3*p - 2)/3
Suppose 13 = -2*u + 3*u - 5*q, 4*q + 17 = 3*u. Let -4/3*r**2 + 1/3*r**u - 2/3 + 5/3*r = 0. Calculate r.
1, 2
Suppose -5*h = -7 + 2. Let x be 0*h/(-3) + 2. Determine g, given that -1/2*g**x - 1/2 - g = 0.
-1
Let u be 3 + (4 - 48/3). Let o be u/(-24) + 6/(-16). Factor 1/4*w**2 + 0*w + o.
w**2/4
Let y(k) = 2*k**3 - 3*k**2 - 2*k - 3. Suppose 0 = -b + 5 - 2. Let n(x) = 10*x**3 - 14*x**2 - 10*x - 14. Let f(m) = b*n(m) - 14*y(m). Factor f(w).
2*w*(w - 1)*(w + 1)
Let a(x) = x - x**2 + 2*x**2 - 1 - 4*x**2 - 1. Let h(n) = -4*n**2 + 2*n - 3. Suppose f + 1 = 2*u - 2, 5*u = -2*f + 21. Let j(m) = u*a(m) - 2*h(m). Factor j(o).
-o*(o + 1)
Let h be (((-30)/(-4))/5 + -2)*-4. Factor 0 + 0*b**3 + 2/7*b**h + 0*b - 2/7*b**4.
-2*b**2*(b - 1)*(b + 1)/7
Find i such that -845*i**2 + 65*i + 10985/3*i**3 - 5/3 = 0.
1/13
Let z(d) = -20*d - 5. Let c be z(-4). Suppose -4*j + c = j. Find w, given that -23*w**3 - 9/2*w + j*w**2 + 33/2*w**4 + 1/2 - 9/2*w**5 = 0.
1/3, 1
Let m(l) = -7*l**3 + 9*l + 11. Let r(i) = -36*i**3 + 44*i + 56. Suppose -81 + 17 = 4*b. Let x(a) = b*m(a) + 3*r(a). Factor x(w).
4*(w - 2)*(w + 1)**2
Suppose -5*i + c = -3*i - 10, 0 = -2*i - 2*c + 4. Let t(r) be the third derivative of 2*r**2 + 1/60*r**i + 0 - 1/150*r**5 + 0*r**3 + 0*r. What is z in t(z) = 0?
0, 1
Suppose -4*a + 9*a - 15 = 0. Find m, given that -2*m + a*m - m - 3*m**2 = 0.
0
Let i(f) be the first derivative of -f**5/10 - f**4/8 + f**3/8 + f**2/4 + f/8 + 31. Suppose i(s) = 0. What is s?
-1, -1/2, 1
Factor -100*w**2 + 364*w**4 + 20*w + 36*w**5 - 14*w**4 - 15*w**3 + 209*w**5.
5*w*(w + 1)**2*(7*w - 2)**2
Let b = -1 + -2. Let d be 20/(-8) + b/(-1). Determine l so that -d*l**2 + 1/2 + 0*l = 0.
-1, 1
Suppose -3/7*a - 1/7*a**3 - 5/7*a**2 + 9/7 = 0. What is a?
-3, 1
Let g = -138 - -1657/12. Let u(q) be the second derivative of 2*q + 0 + g*q**3 - 1/8*q**2 - 1/48*q**4. Factor u(h).
-(h - 1)**2/4
Let o be (2/(-14))/(-11 + -1). Let i(w) be the third derivative of -3*w**2 + 0*w + 0*w**3 + 0 + o*w**4 - 1/210*w**5. Let i(x) = 0. Calculate x.
0, 1
Let n be (1 - 3)*6/(-3). Suppose b + n = 6. Factor 2/7*g + 0 + 2/7*g**b.
2*g*(g + 1)/7
Factor g**2 + 2*g**4 - 1/2*g**5 - 5/2*g**3 + 0*g + 0.
-g**2*(g - 2)*(g - 1)**2/2
Suppose 3*k - 3*w + 14 = -w, 0 = k + 2*w + 2. Let g be 250/(-15)*k/10. Factor 4*d**2 + g*d**4 + 0 - 8*d**3 - 2/3*d - 2*d**5.
-2*d*(d - 1)**3*(3*d - 1)/3
Suppose -35*t = -31*t. Let u(b) be the third derivative of 0*b**3 + t*b + 1/210*b**5 - 2*b**2 + 0 + 1/84*b**4. Factor u(d).
2*d*(d + 1)/7
Let i(j) = -j**2 + 4*j - 3. Let w(a) = 6*a**2 - 27*a + 21. Let m(l) = 15*i(l) + 2*w(l). Suppose m(v) = 0. Calculate v.
1
Let i(p) = -20*p**3 + 48*p**2 - 36*p. Let v(h) = 7*h**3 - 16*h**2 + 12*h. Let j(q) = 3*i(q) + 8*v(q). Determine t, given that j(t) = 0.
0, 1, 3
Let m(v) = -1 - 21*v**3 - 18*v**3 - 42*v + 13*v**2 + 78*v. Let t(x) = -10*x**3 + 3*x**2 + 9*x. Let j(n) = 4*m(n) - 18*t(n). Find k such that j(k) = 0.
-2/3, -1/4, 1
Let y(k) be the first derivative of -k**6/30 - k**5/5 - 2*k**4/5 - 4*k**3/15 - 4. Determine j so that y(j) = 0.
-2, -1, 0
Suppose -16 = 4*w + 5*k, 5 = -2*k - 3. Let b be 22/4 + 6/(-3). Factor -15/2*a**2 + 19/2*a**3 + 1/2*a + w - b*a**4.
-(a - 1)**3*(7*a + 2)/2
Factor 16 - 11*f**2 - 7*f**2 + 16*f + 22*f**2.
4*(f + 2)**2
Let a(n) be the third derivative of -n**8/840 - n**7/525 + n**6/60 - n**5/50 + 5*n**2. Factor a(s).
-2*s**2*(s - 1)**2*(s + 3)/5
Let x(b) = b + 1. Let y be x(-4). Let u be (1 - y) + -1 + -1. Solve -c + c + 2*c - 2*c**u = 0.
0, 1
Let b(g) = 3*g**3 - 3*g. Let j be 9/4 + (-4)/16. Let i(p) = -3*p**3 + 3*p. Let w(n) = j*i(n) + 3*b(n). Determine k so that w(k) = 0.
-1, 0, 1
Let v(d) be the first derivative of -d**6/3 + 2*d**5/5 - 8. Suppose v(j) = 0. Calculate j.
0, 1
Let a(c) be the first derivative of 1 + 0*c**4 + 0*c**2 + 1/9*c**3 - 1/15*c**5 + 0*c. Let a(t) = 0. Calculate t.
-1, 0, 1
Let n(v) be the third derivative of -v**8/336 + v**7/42 - v**6/60 - 7*v**5/30 + v**4/8 + 3*v**3/2 + 8*v**2. Factor n(l).
-(l - 3)**2*(l - 1)*(l + 1)**2
Suppose 1 = -0*g + g. Let p be g + 5/15 + 4. Solve 3*w**4 + p*w**2 + 4/3*w + 0 + 7*w**3 = 0.
-1, -2/3, 0
Let q be 8/(-2 + -1 + 13). What is r in -q*r**2 + 4/5 + 6/5*r - 6/5*r**3 = 0?
-1, -2/3, 1
Let l be 0/(3 - (-2 - -3)). Let g(v) be the second derivative of -1/3*v**3 - v - 1/12*v**4 + l - 1/2*v**2. Determine p so that g(p) = 0.
-1
Let p(x) be the second derivative of x**6/240 + 3*x**2/2 - 4*x. Let n(q) be the first derivative of p(q). Determine k so that n(k) = 0.
0
Let w be 12/(-18)*(-3)/4. Determine q so that -w*q**3 - 1/2*q**2 + 0*q + 0 = 0.
-1, 0
Let o(c) be the second derivative of -2/15*c**5 + 2*c - 1/18*c**3 + 0*c**2 + 7/36*c**4 - 8/45*c**6 + 0. Factor o(q).
-q*(q + 1)*(4*q - 1)**2/3
Let q be (3/2)/(2/4). Let a be (2 + 1 - q)/(-1). Factor 1/5*z**5 + 0*z**4 + 1/5*z + 0 + a*z**2 - 2/5*z**3.
z*(z - 1)**2*(z + 1)**2/5
Solve 8*v**2 - 7*v + 11*v + 10*v + 18 + 7*v + v**3 = 0.
-3, -2
Let k(f) be the third derivative of 4*f**2 + 1/20*f**5 + 1/210*f**7 + 0*f + 0*f**4 + 0*f**3 + 1/24*f**6 + 0 - 1/336*f**8. What is t in k(t) = 0?
-1, 0, 3
Let a(t) be the first derivative of t**6/30 + 7*t**5/25 + 3*t**4/4 + 13*t**3/15 + 2*t**2/5 + 18. Factor a(y).
y*(y + 1)**3*(y + 4)/5
Let c be 2 + -2 - 2 - -2. Suppose -6*h + 4*h + 4 = c. Factor 0 + 0*v - 1/3*v**h.
-v**2/3
Factor 0 + 1/4*b**4 - 1/4*b**2 - 1/4*b + 1/4*b**3.
b*(b - 1)*(b + 1)**2/4
Suppose 4*v - 30 = 42. Let t be 51/v - 3/9. Factor 9/2*y**4 - t*y**2 - 1/2*y - 3/2*y**3 + 0.
y*(y - 1)*(3*y + 1)**2/2
Let d(p) be the first derivative of p**3/3 - p - 2. Let b(h) = -3*h**2 - 3*h + 6. Let w(k) = -b(k) - 4*d(k). Factor w(x).
-(x - 2)*(x - 1)
Suppose 0 - 4/3*b + 1/3*b**2 = 0. What is b?
0, 4
Let i(s) be the third derivative of -s**7/4410 + s*