0. Let 2/9*o**2 - 2/9*o**3 + x*o + 0 = 0. What is o?
0, 1
Solve -2/5*j**2 + 0 + 4/5*j = 0 for j.
0, 2
Let -24/7 + 64/7*u**2 - 8/7*u**3 - 40/7*u**4 - 4/7*u + 12/7*u**5 = 0. What is u?
-1, -2/3, 1, 3
Factor 6/5*d + 0 + 3/5*d**4 - 3/5*d**2 - 6/5*d**3.
3*d*(d - 2)*(d - 1)*(d + 1)/5
Let o be (2/(-8)*-10)/(13 + -8). Factor 0*k**3 - o*k**2 + 1/2*k**4 - 1/4*k**5 + 1/4*k + 0.
-k*(k - 1)**3*(k + 1)/4
Find x, given that 6*x + 0 + 18*x**2 - 18*x**4 + 21/2*x**5 - 33/2*x**3 = 0.
-1, -2/7, 0, 1, 2
Let x(b) = -2*b**4 + 8*b**3 + 2*b**2 - 8*b + 6. Let d(o) = -2*o**4 + 9*o**3 + 2*o**2 - 9*o + 7. Let v(j) = -6*d(j) + 7*x(j). Let v(s) = 0. Calculate s.
-1, 0, 1
Let q(j) be the third derivative of j**8/336 - 7*j**6/120 - j**5/10 - 6*j**2. Suppose q(v) = 0. What is v?
-2, -1, 0, 3
Solve -3*g + 12*g**2 + 0*g + 9*g + 3*g + 3*g**3 = 0 for g.
-3, -1, 0
Let u(c) be the second derivative of -1/84*c**4 - 2*c + 0 + 0*c**2 + 1/21*c**3 - 1/140*c**5. Determine s so that u(s) = 0.
-2, 0, 1
Let t(q) be the second derivative of -7*q**5/12 - 115*q**4/36 + 55*q**3/9 + 20*q**2/3 - 39*q. Factor t(w).
-5*(w - 1)*(w + 4)*(7*w + 2)/3
Suppose 2*j - 33 = -3. Let u = j - 10. Find s, given that -4/7*s**3 - 6/7*s**u + 0*s + 0 + 10/7*s**4 + 0*s**2 = 0.
0, 2/3, 1
Let y(h) = 6*h**4 + 12*h**3 - 19*h**2 - 7*h + 13. Let c(n) = 9*n**4 + 18*n**3 - 29*n**2 - 11*n + 20. Let j(p) = 5*c(p) - 7*y(p). Find o, given that j(o) = 0.
-3, -1, 1
Let s(n) be the second derivative of -n**6/45 + n**5/10 - n**4/9 - 5*n. Find m, given that s(m) = 0.
0, 1, 2
Let k(o) be the first derivative of o**4/3 + 32*o**3/9 + 34. Factor k(j).
4*j**2*(j + 8)/3
Suppose o + 2 + 4 = -3*x, -3*o - 3*x = 6. Let k(t) be the third derivative of 0*t**4 + o + 0*t + 1/60*t**5 - 1/6*t**3 + t**2. Find l, given that k(l) = 0.
-1, 1
Let v = 13 - 11. Factor 5*t - 4*t - t**3 - v + 2*t.
-(t - 1)**2*(t + 2)
Suppose 3*s = b + 4, 2*b - 11 - 2 = -s. Let i(k) be the first derivative of 0*k - 1/5*k**s + 3 - 1/4*k**4 + 1/5*k**2. Factor i(p).
-p*(p + 1)*(5*p - 2)/5
Factor 37*t**3 - 33*t**3 + 2*t**2 + 4*t**4 - 2*t**4.
2*t**2*(t + 1)**2
Let z(w) = w**4 + 5*w**3 - 8*w**2 - 34*w + 34. Let h(u) = u**2 + u - 1. Let s(r) = -6*h(r) - 3*z(r). Find t such that s(t) = 0.
-4, 1, 2
Let c(q) be the third derivative of q**6/6 - q**5/5 - 2*q**4 - 8*q**3/3 + q**2. Suppose c(v) = 0. What is v?
-1, -2/5, 2
Factor 1 + 7*w**2 - 11*w**2 + 4*w - 1.
-4*w*(w - 1)
Let k(x) = -5*x**5 - 4*x**4 + 15*x**3 + 26*x**2 - 20*x - 6. Let s(b) = -5*b**5 - 5*b**4 + 15*b**3 + 25*b**2 - 20*b - 5. Let i(c) = 5*k(c) - 6*s(c). Factor i(y).
5*y*(y - 1)**2*(y + 2)**2
Suppose -2*g - 4*l = g - 8, -3*l + 6 = -4*g. Let r(u) be the first derivative of 1/2*u**4 - 2 + 1/3*u**6 - 4/5*u**5 + 0*u**3 + 0*u**2 + g*u. Factor r(m).
2*m**3*(m - 1)**2
Let d(b) be the first derivative of -3*b**4 - 8/3*b**3 - b**2 - 8/5*b**5 - 1/3*b**6 - 1 + 0*b. Suppose d(f) = 0. Calculate f.
-1, 0
Let z be (-178)/(-72) - (-10)/(-225)*5. Suppose z - 3/2*x + 1/4*x**2 = 0. Calculate x.
3
Suppose 4*o = 3*s + 4, 5*s + 8*o = 4*o + 4. Suppose s = -2*g - g + 15. Factor 4*w - 2*w + g*w**3 - 6*w**2 - 13*w**3.
-2*w*(w + 1)*(4*w - 1)
Let x(t) be the first derivative of -t**5/10 + t**4/6 - t - 3. Let p(a) be the first derivative of x(a). Suppose p(o) = 0. What is o?
0, 1
Let c(m) = m**4 - 2*m**3 + 1. Suppose -2*i = -6*i + 16. Let h(f) = -4*f**4 + 9*f**3 - f**2 - 4. Let y(s) = i*h(s) + 18*c(s). Factor y(o).
2*(o - 1)**2*(o + 1)**2
Suppose -2*c + 5*c = 6. Let o = -4 - -6. Factor -2*p**5 - 3*p**c + 1 - 5*p**4 + 4*p + 2*p**2 + 5*p**o - 2*p**3.
-(p - 1)*(p + 1)**3*(2*p + 1)
Let i(c) = -4*c**2 - 2*c + 2. Suppose 0 = 6*l - l - 25. Let k(t) = 3*t**2 + 2*t - 1. Let x(h) = l*k(h) + 4*i(h). Solve x(a) = 0 for a.
-1, 3
Let y(t) = -t**2 - 3*t + 4. Let v be y(-4). Suppose 0 = 2*s - v*s. Determine f so that -1/2*f**2 + 15/4*f**3 + 0 - 33/4*f**4 + s*f + 5*f**5 = 0.
0, 1/4, 2/5, 1
Let q(s) = 45*s**5 - 190*s**4 - 215*s**3 + 305*s**2 + 55. Let l(h) = -5*h**5 + 21*h**4 + 24*h**3 - 34*h**2 - 6. Let d(f) = -55*l(f) - 6*q(f). Factor d(n).
5*n**2*(n - 4)*(n - 1)*(n + 2)
Let a(w) be the first derivative of 3/4*w**4 - 3 + 0*w - 3/5*w**5 + w**3 - 1/2*w**6 + 0*w**2. What is j in a(j) = 0?
-1, 0, 1
Solve 22*f**2 - 12*f**3 - 12*f**4 - 12*f + 16*f**4 - 2*f**4 = 0.
0, 1, 2, 3
Let x(p) be the first derivative of -12*p**5/5 + 21*p**4/4 - 3*p**3 + 7. Factor x(b).
-3*b**2*(b - 1)*(4*b - 3)
Factor 0 - 2/9*i**2 - 4/9*i.
-2*i*(i + 2)/9
Let b(j) be the second derivative of j**5/70 + j**4/21 - j**3/21 - 2*j**2/7 - 8*j. Factor b(s).
2*(s - 1)*(s + 1)*(s + 2)/7
Suppose 86*r**2 - 16 - r**2 - 22*r**2 + 3*r**2 + 36*r + 14*r**3 = 0. Calculate r.
-4, -1, 2/7
Factor 5*r**4 - 3*r + 3*r**2 - 2*r**3 + 5*r**3 - 8*r**4.
-3*r*(r - 1)**2*(r + 1)
Determine w, given that -6/5*w + 2/5*w**2 - 4/5 + 6/5*w**3 + 2/5*w**4 = 0.
-2, -1, 1
Let l(s) be the second derivative of 9*s**5/100 - 3*s**4/20 + s**3/10 - 3*s**2 - 2*s. Let p(c) be the first derivative of l(c). Let p(u) = 0. What is u?
1/3
Let r = 685 - 682. Suppose 8/9*g**2 - 2/9*g**r + 0 - 8/9*g = 0. What is g?
0, 2
Let j(i) = -i - 6. Let q be j(-8). Let s(y) be the first derivative of 0*y + 2/15*y**5 + 1/6*y**4 - 1/3*y**q + 2 - 2/9*y**3. Factor s(k).
2*k*(k - 1)*(k + 1)**2/3
Let f(w) be the first derivative of -w**4 - 4*w**3 - 6*w**2 - 4*w - 3. Let f(l) = 0. Calculate l.
-1
Let v = -100 - -100. Factor 2/3*x**3 + v + 4/3*x + 2*x**2.
2*x*(x + 1)*(x + 2)/3
Let v = 67 + -43. Factor -17 - 4*q**2 - 10 - v*q + q**2 + 6*q.
-3*(q + 3)**2
Let g(i) = -i**4 - 5*i**3 + 4. Let k(o) = -o**4 - 4*o**3 + 3. Let q(u) = 3*g(u) - 4*k(u). Let q(z) = 0. What is z?
-1, 0
Let w(h) be the third derivative of -h**8/2352 - h**7/1470 + h**6/840 + h**5/420 + 8*h**2. Suppose w(x) = 0. What is x?
-1, 0, 1
Let y(i) be the third derivative of i**6/90 - 8*i**5/45 + 13*i**4/18 - 4*i**3/3 - 31*i**2. Let y(s) = 0. What is s?
1, 6
Let c be -2 + 0 + (3 - -1). Let -q**3 - 4*q**3 + 4*q**3 + 2*q**3 + c*q**2 + q = 0. Calculate q.
-1, 0
Suppose 1 - 6 = i, h + 5*i + 22 = 0. Let u(p) be the first derivative of 2 + 2/3*p**h + 0*p - p**2. Factor u(x).
2*x*(x - 1)
Factor 3*b + 3*b + 442*b**2 - 444*b**2 - 4.
-2*(b - 2)*(b - 1)
Let t(p) be the first derivative of -1/6*p**3 - 1 + 1/2*p**2 - 1/2*p. Solve t(a) = 0.
1
Let p(w) be the first derivative of 1/24*w**4 + 5 + 1/6*w**2 + 1/6*w**3 + 0*w. Factor p(u).
u*(u + 1)*(u + 2)/6
Let h be 3/(-6) + (-27)/(-30). What is s in -h*s**5 + 0*s + 0 + 4/5*s**4 + 0*s**2 - 2/5*s**3 = 0?
0, 1
Let u = 79 - 76. Solve -3/4*v**5 + 0 + 0*v**2 + 3/2*v**u + 3/4*v**4 + 0*v = 0.
-1, 0, 2
Let n(o) = -2*o**3 + 2*o**2 + 0*o**4 + 2*o**4 - 1 - 3*o**2. Let g(f) = -f**4 + f**3 + f + 1. Let a(h) = -g(h) - n(h). Factor a(d).
-d*(d - 1)**2*(d + 1)
Let a(f) be the second derivative of f**4/12 + f**3/3 - f**2/2 - 3*f. Let h be a(-3). Factor 12*g**4 + 1 + 24*g**2 + 8*g + 13*g**3 - 1 + 13*g**3 + h*g**5.
2*g*(g + 1)**2*(g + 2)**2
Find a, given that 1/4*a**2 + 0 - 3/4*a = 0.
0, 3
Let r(h) be the second derivative of 3/2*h**2 + 5/4*h**3 + 1/2*h**4 + 3*h + 0 + 3/40*h**5. Factor r(n).
3*(n + 1)**2*(n + 2)/2
Solve 0*s**2 + 2/7*s**3 + 0*s - 4/7*s**4 + 2/7*s**5 + 0 = 0 for s.
0, 1
Suppose -4*o + 2*g + 7 = -g, -6 = -2*g. Let b be ((-3 - -1) + 2)/1. Factor 14/3*i**5 + 0*i**2 + b*i - 6*i**o + 0 + 4/3*i**3.
2*i**3*(i - 1)*(7*i - 2)/3
Let w(m) = m**2 + m. Let x(p) = 4*p**4 + 4*p**3 + 5*p**2 + 5*p. Let i(r) = 5*w(r) - x(r). Find d, given that i(d) = 0.
-1, 0
Let y = 56 - 20. Factor -53*v**2 + 12*v + 14*v**2 + y*v**3 - 21*v**3 + 12.
3*(v - 2)*(v - 1)*(5*v + 2)
Let r = -6 - -9. Find z such that 3*z**3 - 10 - z**2 + z**5 + 10 - r*z**4 = 0.
0, 1
Let p(l) be the first derivative of -l**5/20 + 3*l**4/8 - l**3 + 5*l**2/4 - 3*l/4 + 14. Factor p(v).
-(v - 3)*(v - 1)**3/4
Suppose -u**3 + 3*u**3 - 4*u**3 = 0. Calculate u.
0
Determine f, given that 3/4*f**4 + 0 - 1/4*f**2 + 0*f + 1/2*f**3 = 0.
-1, 0, 1/3
Let i(z) be the second derivative of -z**6/30 + z**4/6 - z**2/2 - 7*z. Find c, given that i(c) = 0.
-1, 1
Let v = 32/7 + -281/63. Let i(b) be the first derivative of -1/6*b**4 - 3 + 1/5*b**5 + 0*b + 0*b**2 - v*b**3. Factor i(h).
h**2*(h - 1)*(3*h + 1)/3
Let u = 56 - 51. Let o(f) be the third derivative of 0*f - 1/70*f**7 + 0 + 0*f**4 - f**2 - 1/2*f**3 + 0*f**6 + 1/10*f**u. Determine g so that o(g) = 0.
-1, 1
Let f b