+ 6*k**2.
2*k*(k - 2)*(k + 1)*(3*k + 1)
Factor 2/3*c**2 + 0 + 8/3*c.
2*c*(c + 4)/3
Suppose -5*p = -3*i - 38 - 23, -2*p + 28 = -3*i. Suppose -3*m + p = 2*s - s, -2*m - s + 9 = 0. Factor 6*h**2 - 5*h**3 + 4*h**3 + 8 + 12*h + m*h**3.
(h + 2)**3
Let p(y) be the first derivative of -y**5/25 + y**4/20 + y**3/15 - y**2/10 - 4. Solve p(r) = 0.
-1, 0, 1
Let y(x) = -12*x - 348. Let w be y(-29). Factor w - 3/5*b**3 + 6/5*b**2 + 0*b - 9/5*b**4.
-3*b**2*(b + 1)*(3*b - 2)/5
Let h(c) = -c**3 - 1. Let u(g) = -3*g**4 + 3*g**2 + 3*g + 3. Let x(j) = -3*h(j) - u(j). Let x(i) = 0. What is i?
-1, 0, 1
Let 1 + 6*n**3 + 2*n**4 - 2*n**3 - 1 = 0. Calculate n.
-2, 0
Let x(o) = o**2 - 2*o. Let r be (1 - 0)*(-2 - -5). Let t be x(r). Let -2 - 10*f**4 + 29*f**3 - 20*f**2 + 2*f**5 + t*f + 7*f - 9*f**3 = 0. Calculate f.
1
Let x be (2/9)/((-16)/18 + 1). Let h(y) be the third derivative of 1/150*y**5 + 1/60*y**4 + 2*y**x + 0*y**3 + 0 + 0*y. Factor h(j).
2*j*(j + 1)/5
Let n(q) be the second derivative of -q**4/36 - q**3/3 - 4*q**2/3 + 3*q. Solve n(d) = 0 for d.
-4, -2
Suppose 4*f + 2*g = 6*g + 24, 5*f + 10 = -5*g. Let k be 5/15 - 1/3. Suppose k*w + 1/2 - 1/2*w**f = 0. What is w?
-1, 1
Let m = -6 - -6. Let r(g) be the first derivative of -3 + 1/2*g**4 + m*g + 1/2*g**3 - 1/4*g**2. Let r(h) = 0. Calculate h.
-1, 0, 1/4
Let j(z) be the second derivative of 0 - 6*z + 0*z**2 + 3/20*z**5 + 0*z**4 + 0*z**3. What is v in j(v) = 0?
0
Suppose -8*y + y**2 + 5*y**2 - 2*y**2 = 0. What is y?
0, 2
Let m(n) be the second derivative of -n**7/336 - n**6/24 - n**5/4 - 5*n**4/6 - 5*n**3/3 - 2*n**2 + 6*n. Suppose m(s) = 0. What is s?
-2
Let c(l) be the first derivative of -50*l**6 + 112*l**5 - 27*l**4 - 232*l**3/3 + 24*l**2 + 32*l - 25. Solve c(z) = 0.
-2/5, 2/3, 1
Let t = -53 + 56. Suppose 3*p**3 + 3/2*p**5 + 3/2 - 9/2*p - 9/2*p**4 + t*p**2 = 0. Calculate p.
-1, 1
Let c = 17/7 - 333/140. Let b(i) be the second derivative of -1/12*i**4 + 0 - 1/84*i**7 - i - 1/4*i**2 - 1/20*i**5 + 1/4*i**3 + c*i**6. Factor b(v).
-(v - 1)**4*(v + 1)/2
Suppose 6*k = 26 - 8. Let l(h) = -2*h**3 + 4*h. Let i(v) = v**3 + 3*v + 2*v**3 - v**2 - 4*v**3. Let c(u) = k*l(u) - 4*i(u). Let c(m) = 0. What is m?
0, 2
Let m = -5 + 7. Factor 2*t**5 - 7*t**4 + 4*t**m + t**4 + 2*t**4 - 2*t.
2*t*(t - 1)**3*(t + 1)
Let q(h) = -24*h**2 - 12*h - 16. Let j(z) = -8*z**2 - 4*z - 6. Let w(t) = 8*j(t) - 3*q(t). Let w(u) = 0. What is u?
-1/2, 0
Let m(g) = -4*g**5 - 2*g**4 - 9*g**3 + 10*g**2. Let o(k) = -5*k**5 - 3*k**4 - 9*k**3 + 11*k**2. Let f(a) = 6*m(a) - 5*o(a). Suppose f(t) = 0. What is t?
-5, 0, 1
Suppose 0 = -4*p + 11 - 3. Let z(c) be the third derivative of 0*c + 1/20*c**5 - 1/120*c**6 + 1/6*c**3 - 2*c**p + 0 - 1/8*c**4. Suppose z(j) = 0. Calculate j.
1
Suppose 11*l = 8*l. Factor 0*x**2 + 1/5*x**3 - 1/5*x**4 + l*x + 0.
-x**3*(x - 1)/5
Find r such that 20*r - 50/3*r**3 - 16/3 + 18*r**4 - 38/3*r**2 - 10/3*r**5 = 0.
-1, 2/5, 1, 4
Let k = 111 + -61. Factor 6*u**5 - 48*u**3 + k*u**3 + 10*u**4 + 2*u**5.
2*u**3*(u + 1)*(4*u + 1)
Let m(t) be the first derivative of -t**6/990 - t**5/660 + 2*t**3/3 + 3. Let j(p) be the third derivative of m(p). Factor j(z).
-2*z*(2*z + 1)/11
Let v(s) be the second derivative of -2*s + 0 + 0*s**2 - 1/12*s**4 + 1/6*s**3. Find f, given that v(f) = 0.
0, 1
Factor -4/3*v + 4/3 + 1/3*v**2.
(v - 2)**2/3
Let n be (-796)/60 + 9/15. Let s = n - -13. Factor -1/3*o - s*o**2 + 2/3.
-(o - 1)*(o + 2)/3
Factor -2*v - 16/7*v**2 - 2/7*v**3 + 0.
-2*v*(v + 1)*(v + 7)/7
Let t(r) = 8*r**4 + 12*r**3 - 4*r**2 + 4*r. Let s(w) = -9*w**4 - 12*w**3 + 5*w**2 - 5*w. Let x(n) = 4*s(n) + 5*t(n). Factor x(q).
4*q**3*(q + 3)
Let n = -1474/9 - -164. Let y(x) be the first derivative of 1/6*x**4 + 0*x + 3 + 0*x**2 + n*x**3. Factor y(j).
2*j**2*(j + 1)/3
Let z be 36/4 - (1 + 2). Let 11*f - 2*f - 4*f - 8*f + z - 3*f**2 = 0. Calculate f.
-2, 1
Suppose -5/4 - 3/2*b - 1/4*b**2 = 0. What is b?
-5, -1
Let j be 2 + 0/1 - 0. Factor -63*w**5 - 92*w**4 - 99*w**5 - 8*w**j - 142*w**4 - 44*w**3 - 36*w**3.
-2*w**2*(w + 1)*(9*w + 2)**2
Let h(u) be the first derivative of 0*u**3 + 0*u - 1 - 1/4*u**4 + 0*u**5 + 1/4*u**2 + 1/12*u**6. Determine y so that h(y) = 0.
-1, 0, 1
Factor 0 + 12*x + 3*x**3 + 8 - 7*x**3.
-4*(x - 2)*(x + 1)**2
Let v be (2/(-4))/(3 - (-155)/(-50)). Factor 1/4*z - z**4 - z**2 + 1/4*z**v + 3/2*z**3 + 0.
z*(z - 1)**4/4
Suppose -2*l - i + 4*i = -10, 0 = 3*l - 5*i - 15. Factor l*g - 3*g**3 + g**4 - 4*g**4 + 3*g**2 - 2*g.
-3*g*(g - 1)*(g + 1)**2
Let o(v) be the second derivative of v**4/20 + 2*v**3/5 + v. What is r in o(r) = 0?
-4, 0
Let t(n) be the second derivative of -n**4/72 - 5*n**3/36 - n**2/3 + 2*n - 39. Factor t(d).
-(d + 1)*(d + 4)/6
Let z(a) be the second derivative of a**5/20 + a**4/2 + 2*a**3 + 5*a**2/2 - a. Let n(h) be the first derivative of z(h). Let n(b) = 0. Calculate b.
-2
Let w(y) be the second derivative of y**5/5 - 4*y**4/3 + 10*y**3/3 - 4*y**2 + 2*y - 9. Solve w(a) = 0.
1, 2
Suppose -5*u - 3*n + 8 = 0, 2*u - n = 3*n + 24. Determine w, given that 0 - 2/5*w**5 + 2/5*w + 4/5*w**u + 0*w**3 - 4/5*w**2 = 0.
-1, 0, 1
Let r = 109/2599 - -10/113. Let a = 57/92 + r. Factor -1/2 - 7/4*n - a*n**2.
-(n + 2)*(3*n + 1)/4
Let d = -138643/79 + 1755. Let v = d + 310/237. Factor v + 2/3*a**2 - 2*a.
2*(a - 2)*(a - 1)/3
Suppose 7*j**5 - 10*j - 2*j**5 - 5*j**4 - 3*j**4 + 4*j**2 + 4 + 8*j**3 - 3*j**5 = 0. Calculate j.
-1, 1, 2
Let f be (-1)/(-18)*(3 + 1). Let -2/9*r + 4/9*r**2 - f*r**3 + 0 = 0. Calculate r.
0, 1
Let d be (10 + (-57)/6)*(1 + -1). Let -2/7*x**3 + 4/7*x**2 + d - 2/7*x = 0. What is x?
0, 1
Find c such that -21*c**2 - 4*c - 19*c**2 + 28*c**2 - c**5 - 13*c**3 - 6*c**4 = 0.
-2, -1, 0
Find x such that 5/4*x - 5*x**2 + 0 = 0.
0, 1/4
Let j(i) be the first derivative of -2*i**3/21 + 5*i**2/7 - 12*i/7 + 31. Find k such that j(k) = 0.
2, 3
Let d = -1548 + 10860/7. Solve -2/7*g**3 - d*g + 12/7*g**2 + 16/7 = 0.
2
Let j be 6/(-10)*240/(-72). Solve 4/15*c + 2/3*c**j + 0 = 0.
-2/5, 0
Let r(d) be the second derivative of d**4/9 - 8*d**3/9 + 8*d**2/3 - 18*d. Solve r(m) = 0.
2
Let i(k) = 4*k**2 + 5*k + 7. Let l be i(-7). Suppose -z + 6*m = 3*m - 72, 2*m = -2*z + l. Factor -4 + 7*j - z*j**2 - 37*j - 6*j.
-(9*j + 2)**2
Let i be ((-17 - -5)/(-1))/14. What is m in 0 + i*m**3 - 8/7*m**2 + 2/7*m = 0?
0, 1/3, 1
Let s(x) be the third derivative of -1/8*x**4 + 1/2*x**3 + 0 - x**2 - 1/4*x**5 - 3/40*x**6 + 0*x. Factor s(r).
-3*(r + 1)**2*(3*r - 1)
Solve 2/9*g**2 + 0 + 2/9*g - 2/9*g**3 - 2/9*g**4 = 0.
-1, 0, 1
Determine c, given that 10*c - 11*c + 0 - 2 + c**2 = 0.
-1, 2
Suppose 4*t = t + 8*t. Let r = -132/5 - -934/35. Factor 2/7*h**3 + 0 + t*h - r*h**2.
2*h**2*(h - 1)/7
Let t(v) be the second derivative of v**4/30 - v**3/5 + 2*v**2/5 - 5*v. Factor t(s).
2*(s - 2)*(s - 1)/5
Suppose 0 = -i + r - 4, i + 2*r - 6*r + 16 = 0. Let o = 7 - 5. Factor 15*d - 3 + 5*d**5 - 15*d**4 + i*d + 30*d**3 + d**5 - 3*d**5 - 30*d**o.
3*(d - 1)**5
Let g(z) = -65*z**3 - 55*z**2 + 600*z - 385. Let r(l) = -11*l**3 - 9*l**2 + 100*l - 64. Let c(h) = 4*g(h) - 25*r(h). Suppose c(p) = 0. What is p?
-3, 2/3, 2
Let g(r) be the third derivative of -r**8/560 + 3*r**7/350 - 3*r**6/200 + r**5/100 - 9*r**2. Find o, given that g(o) = 0.
0, 1
Let q be 12/8 + (-9)/(-2). Let u be 9/2*q/9. Factor -4 + w + u + 1 - w**2.
-w*(w - 1)
Let h(g) be the second derivative of -1/36*g**4 - 1/3*g**2 - 1/6*g**3 + 0 + 6*g. Factor h(w).
-(w + 1)*(w + 2)/3
Let w = 15 + -11. Let l(o) = -o**4 + o**2 + o. Let m(u) = 3*u**4 + 5*u**3 - 12*u**2. Let a(q) = w*l(q) + m(q). Let a(g) = 0. Calculate g.
0, 1, 2
Suppose -3*g - 2*g = -15. Suppose -2/7 + 2*m**g - 4/7*m**4 - 18/7*m**2 + 10/7*m = 0. Calculate m.
1/2, 1
Let l(x) be the first derivative of -x**4 - 4*x**3/3 - 9. What is h in l(h) = 0?
-1, 0
Let z(p) = -p**2 + 6*p - 5. Let s be z(4). Suppose 0 = -3*i + 2*b + 8, -i + s = -4*b - 3. Find c, given that 3 + 0*c**2 - c**i - c**3 - c + 2*c**3 - 2 = 0.
-1, 1
Suppose -3*a + 12 = 2*p, -3*a + 0*a + 2*p = 0. Let x(u) be the second derivative of 0*u**4 + 1/60*u**6 + 2*u + 0 + 1/6*u**3 - 1/20*u**5 - 1/4*u**a. Factor x(q).
(q - 1)**3*(q + 1)/2
Let l = -2 + 5. Let s = 161/4 - 40. Solve 0 - 1/2*r**2 - s*r**l - 1/4*r = 0 for r.
-1, 0
Let o(p) be the second derivative of 7*p**5/30 - p**4/6 + p**3/21 - 5*p**2 - 9*p. Let f(w) be the first derivative 