3*x + 0 + x**2 - 1/3*x**4 = 0.
-2, 0, 1
Let c(s) be the first derivative of 3*s**5/5 + 3*s**4/2 - s**3 - 3*s**2 - 4. Suppose c(o) = 0. Calculate o.
-2, -1, 0, 1
Let j(i) be the first derivative of i**5/2 + 5*i**4/4 - 5*i**3/2 + 13. Factor j(p).
5*p**2*(p - 1)*(p + 3)/2
Let a(h) = -2*h**3 - 20*h**2 + 3. Let i be a(-10). Let s = 81 - 241/3. Suppose 7/3*y**5 + 0 - s*y + 3*y**4 - 3*y**2 - 5/3*y**i = 0. What is y?
-1, -2/7, 0, 1
Let l(i) be the third derivative of 1/330*i**5 + 0 + 6*i**2 + 1/132*i**4 + 0*i**3 + 0*i. Let l(h) = 0. Calculate h.
-1, 0
Solve 12/7*m**2 - 6/7 - 6/7*m**4 + 16/7*m - 16/7*m**3 = 0.
-3, -1, 1/3, 1
Let k(c) be the second derivative of 0 + 0*c**2 + 0*c**3 + c + 0*c**4 + 1/80*c**5 - 1/120*c**6. Factor k(w).
-w**3*(w - 1)/4
Let d(i) = i**3 - 10*i**2 + 10*i - 6. Let h be d(9). Factor 2/3*j**h + j**4 + 1/3 - 4/3*j**2 - 2/3*j.
(j - 1)*(j + 1)**2*(3*j - 1)/3
Suppose -3*i + 6 = -0. Factor 2/5*o**i + 0*o - 2/5.
2*(o - 1)*(o + 1)/5
Let w(k) be the second derivative of 7*k**7/120 + 7*k**6/20 + k**5/2 + k**4/3 - 2*k**3/3 + 2*k. Let g(l) be the second derivative of w(l). Factor g(v).
(v + 2)*(7*v + 2)**2
Suppose -4*x + 3 + 5 = 0. Suppose w = 0, 3 = x*g - w - 1. Determine p so that -g*p**5 + 0 - p**4 - 11*p**2 + p**4 + 4 - 4*p + 5*p**4 + 4*p**3 = 0.
-1, 1/2, 2
Let r(x) be the first derivative of 0*x + 0*x**2 + 4 + 1/15*x**5 - 1/6*x**6 + 1/6*x**4 + 0*x**3. Solve r(g) = 0 for g.
-2/3, 0, 1
Let v(x) = -4*x**2 - 4*x + 11. Let r(b) = -12*b**2 - 12*b + 32. Let a(o) = 3*r(o) - 8*v(o). Factor a(w).
-4*(w - 1)*(w + 2)
Suppose 0 = -d - 5*o - 4 - 1, 0 = -3*o - 3. Let a(i) be the second derivative of 0*i**4 - 3/20*i**5 + d*i**2 + 3*i + 0*i**3 + 0. Find y, given that a(y) = 0.
0
Let i(b) = -8*b**2 + 4*b + 12. Let x(m) = -7*m**2 + 4*m + 11. Let j(z) = 5*i(z) - 6*x(z). Factor j(q).
2*(q - 3)*(q + 1)
Let n(u) be the first derivative of -u**3/3 + 5*u**2/2 - 4*u - 17. Let n(w) = 0. What is w?
1, 4
Let u = -244/3 - -82. Let h = u + -8/21. Find m such that 0*m + 2/7*m**2 - 2/7*m**5 + 2/7*m**3 + 0 - h*m**4 = 0.
-1, 0, 1
Determine b, given that -4/3 + 14/3*b - 10/3*b**2 = 0.
2/5, 1
Let w(f) = -2*f**2 + 4*f + 11. Let m be ((-9)/3)/((-6)/8). Let c(g) = -g**2 + 5*g + 10. Let t(v) = m*w(v) - 5*c(v). Factor t(d).
-3*(d + 1)*(d + 2)
Let y(a) be the third derivative of 2*a**2 + 1/720*a**6 - 1/9*a**3 + 1/120*a**5 + 0*a + 0 + 0*a**4. Factor y(r).
(r - 1)*(r + 2)**2/6
Let t(y) be the third derivative of -7*y**7/90 + 77*y**6/360 - 8*y**5/45 + y**4/18 + 4*y**2. Factor t(b).
-b*(b - 1)*(7*b - 2)**2/3
Find o, given that 1/2*o**5 + o**2 + 0*o**3 - o**4 - 1/2*o + 0 = 0.
-1, 0, 1
Let k(p) be the second derivative of -1/2*p**2 + 5/4*p**5 - 1/2*p**6 - 5/3*p**4 - 3*p + 0 + 1/12*p**7 + 5/4*p**3. Let k(l) = 0. What is l?
2/7, 1
Let w(b) be the second derivative of -b**8/840 - b**7/140 - b**6/90 - b**3/6 + b. Let m(l) be the second derivative of w(l). Factor m(j).
-2*j**2*(j + 1)*(j + 2)
Suppose 4*b + 20 = -4. Let f(x) = x**2 + 6*x + 5. Let q be f(b). Factor 2/3*d**q + 2/3*d + 4/3*d**2 - 2/3*d**4 - 4/3*d**3 - 2/3.
2*(d - 1)**3*(d + 1)**2/3
Let n(y) be the third derivative of 0*y**3 + 0*y - y**2 + 0 - 1/60*y**5 + 1/8*y**4. Factor n(d).
-d*(d - 3)
Let w = 2084/1799 + -4/257. Determine h, given that 0 + 18/7*h**3 + 24/7*h**2 + w*h = 0.
-2/3, 0
Find d such that -48*d - 3*d**2 + 6*d**2 - 71 + 11 - 9*d = 0.
-1, 20
Let z(q) be the first derivative of -q**3/9 + q**2/3 + q + 14. Factor z(r).
-(r - 3)*(r + 1)/3
Let w be (-12)/(-6) + 1*-2. Let f(p) be the first derivative of -1/6*p**2 + 0*p + 1/18*p**6 + w*p**4 - 2/9*p**3 + 1 + 2/15*p**5. Factor f(z).
z*(z - 1)*(z + 1)**3/3
Let o(t) be the second derivative of t**6/120 - 3*t**5/80 + t**4/16 - t**3/24 + t. Factor o(q).
q*(q - 1)**3/4
Suppose 5*w + 2*g + g - 19 = 0, -4*w + 20 = 4*g. Factor o**5 - 13/4*o**4 + 1/4*o + 15/4*o**3 - 7/4*o**w + 0.
o*(o - 1)**3*(4*o - 1)/4
Factor 3/2*p**3 + 0 + 0*p - 3/2*p**2.
3*p**2*(p - 1)/2
Let k(h) be the second derivative of -h**5/330 + h**4/66 - h**3/33 - 2*h**2 - 4*h. Let f(a) be the first derivative of k(a). Factor f(v).
-2*(v - 1)**2/11
Determine q so that 0 + 6/19*q**4 - 6/19*q**2 + 0*q - 8/19*q**5 + 8/19*q**3 = 0.
-1, 0, 3/4, 1
Let x = 7/15 + -2/15. Let u(m) be the second derivative of 1/15*m**6 + m**2 - 1/3*m**4 + x*m**3 + m - 1/5*m**5 + 1/21*m**7 + 0. Factor u(p).
2*(p - 1)**2*(p + 1)**3
Let k(o) be the third derivative of 7*o**5/20 - 3*o**4/8 - 16*o**2. Factor k(d).
3*d*(7*d - 3)
Let l(k) = k**3 + 11*k**2 + 8*k - 17. Let g be l(-10). Let b(q) be the first derivative of 0*q + 1/3*q**g + 1/4*q**4 + 0*q**2 - 1. Suppose b(t) = 0. What is t?
-1, 0
Let o be ((-6)/8)/((-1)/4). Suppose -o*c + 8*c - 10 = 0. Find r such that -2/5 - 2/5*r**c - 4/5*r = 0.
-1
Let u(z) be the first derivative of -1/6*z**3 + 1 + z**2 - 2*z. Solve u(n) = 0 for n.
2
Suppose -2*t**2 - 12*t - 3*t**2 + 2*t**2 + 15 + 0 = 0. Calculate t.
-5, 1
Suppose -10 = -3*t + 2. Let o(f) be the second derivative of 1/3*f**3 + 1/6*f**2 + 1/15*f**5 + 2*f + 1/4*f**t + 0. Suppose o(g) = 0. Calculate g.
-1, -1/4
Suppose -6 = -h - 1. Let k(z) = -z**2 - 2*z + 3. Let c(g) = -2*g**2 + 2 - 5*g + 0*g + 5. Let f(i) = h*k(i) - 2*c(i). Factor f(x).
-(x - 1)*(x + 1)
Let f = -11/4 - -29/4. Let m(h) be the first derivative of -6*h - h**3 - f*h**2 + 1. Let m(d) = 0. Calculate d.
-2, -1
Let l be (0 - -1)*(1 - -4). Let m be (-2)/4*(6 - 10). What is y in y + 5*y**m - 25/4*y**5 + 0 - l*y**4 + 21/4*y**3 = 0?
-1, -2/5, 0, 1
What is n in -2/5*n**3 + 6/5*n**2 + 0*n + 0 = 0?
0, 3
Find w, given that -8/5*w**5 + 0 + 6/5*w**3 + 2/5*w - 8/5*w**2 + 8/5*w**4 = 0.
-1, 0, 1/2, 1
Let y(r) be the second derivative of r**7/84 + r**6/10 + 3*r**5/10 + r**4/3 - 8*r. Factor y(w).
w**2*(w + 2)**3/2
Let w = 468/1145 + -2/229. Factor 18/5*o**3 + w*o**5 + 0 - 14/5*o**2 - 2*o**4 + 4/5*o.
2*o*(o - 2)*(o - 1)**3/5
Let x(v) = 2*v**2 - 9*v - 7. Let f(h) = h**2 - 6*h - 5. Let y(r) = 7*f(r) - 5*x(r). Find q, given that y(q) = 0.
0, 1
Let w(l) be the third derivative of 1/24*l**3 + 0*l + 1/48*l**4 + 1/240*l**5 + 0 - 6*l**2. Let w(u) = 0. Calculate u.
-1
Find k such that 1 - 2 + 3 + 4*k + k**2 + 1 = 0.
-3, -1
Let j(n) = -52*n**4 + 88*n**3 + 56*n**2 + 8*n - 8. Let d(w) = -17*w**4 + 29*w**3 + 19*w**2 + 3*w - 3. Let h(q) = -8*d(q) + 3*j(q). Find r such that h(r) = 0.
-2/5, 0, 2
Let 5*g**4 - 27*g**3 + 4*g**4 + 768 - 21*g**3 + 288*g**2 - 6*g**4 - 768*g = 0. Calculate g.
4
Let i be 1*3*(-7 + 8). Let s be ((-3)/1 + i)/(-2). Find l such that 0 + s*l - 3/5*l**5 - 1/5*l**3 - 1/5*l**2 + l**4 = 0.
-1/3, 0, 1
Suppose 22*d = 61 + 27. Determine z, given that -4/9 - 26/9*z + 10/9*z**d - 22/9*z**3 - 46/9*z**2 + 8/9*z**5 = 0.
-1, -1/4, 2
Let c(i) be the first derivative of -i**6/24 + i**5/20 + 3*i**4/16 - i**3/12 - i**2/4 - 17. Solve c(j) = 0.
-1, 0, 1, 2
Factor l**2 + 1/3*l**4 - 1/3*l - l**3 + 0.
l*(l - 1)**3/3
Let j(t) = t**3 - 8*t**2 + t - 7. Let i be j(8). Let k be i + -1*(-1)/(-2). Factor 1/2 + k*w**2 - w.
(w - 1)**2/2
Let q(d) = d**2 - 3*d - 3. Let o be q(-4). Let x be ((-16)/10)/((-10)/o). Determine c, given that -1/2*c**x + 0*c + 0 - 1/2*c**2 + c**3 = 0.
0, 1
Let p(f) = 2*f**2 - f - 1. Let o be p(-1). Let -95*s**2 + 57*s**4 - 21*s**5 + 5*s + 12 - s**3 + 26*s**o + 19*s - 2*s**3 = 0. What is s?
-1, -2/7, 1, 2
Suppose -2*m = -7*m + 15. Suppose 0 = u + 3*z - 13, m*u - 2*z - 3 = 3. Solve 8*n**4 - 2*n**u + 2*n**5 - 2*n**2 + 6*n**3 + 4*n**2 = 0 for n.
-1, 0
Let o(w) be the second derivative of w**7/14 - w**6/5 + 3*w**5/20 + 9*w. Let o(j) = 0. Calculate j.
0, 1
Let s = -9 - -11. Factor -9*j**s + 2*j**4 + 0*j**2 + 7*j**2.
2*j**2*(j - 1)*(j + 1)
Suppose -19 = 2*x + 7. Let v = x + 15. Determine m so that -3/4*m**3 + m**v + m + 0 = 0.
-2/3, 0, 2
Let j(w) be the second derivative of 5*w**7/126 - 4*w**6/9 + w**5/2 + 10*w**4/9 - 35*w**3/18 - 3*w + 3. Suppose j(o) = 0. What is o?
-1, 0, 1, 7
Suppose 13*i + 14 = 20*i. Let y be 14/(-10)*5/(-3). Factor y*n**i + 2/3 + 3*n.
(n + 1)*(7*n + 2)/3
Let l(g) be the third derivative of 7*g**6/60 + g**5/15 + 24*g**2. Determine b, given that l(b) = 0.
-2/7, 0
Let i(n) = -n**3 - n**2 + 1. Let m(f) = -3*f**3 + 2*f**4 - 2*f**4 - 2*f**2 + f**5 + 2. Let z(d) = 2*i(d) - m(d). Let z(c) = 0. Calculate c.
-1, 0, 1
Let j = -9 + 16. Factor 2*d**4 + 3*d**3 + 3*d**2 + 2*d**4 + 3*d**3 - 6*d - j*d**4.
-3*d*(d