 = 0?
-1, 1
Let y(f) be the first derivative of -49*f**6/3 + 56*f**5/5 + 45*f**4/2 - 56*f**3/3 + 4*f**2 - 3. Determine a, given that y(a) = 0.
-1, 0, 2/7, 1
Let b(z) be the second derivative of 0 + 7/2*z**3 + z**4 - 6*z - 3*z**2. Factor b(w).
3*(w + 2)*(4*w - 1)
Suppose -3*m + 8 - 38 = -5*w, -m = 3*w - 4. Find h such that 3*h**5 - 8 + 2 - 3*h**2 + 6 + w*h**4 - 3*h**3 = 0.
-1, 0, 1
Suppose 8*x + 18 = 5*x. Let r(i) = -26*i**5 + 18*i**3 - 26*i - 17. Let g(u) = 9*u**5 - 6*u**3 + 9*u + 6. Let p(y) = x*r(y) - 17*g(y). Factor p(o).
3*o*(o - 1)**2*(o + 1)**2
Let z(o) be the second derivative of o**5/70 + o**4/42 - 5*o**3/21 + 3*o**2/7 - 3*o. Let z(d) = 0. What is d?
-3, 1
Let s(n) be the second derivative of -n**7/105 + n**5/30 + 2*n**2 + n. Let z(u) be the first derivative of s(u). Factor z(g).
-2*g**2*(g - 1)*(g + 1)
Solve -3/2 - j + 1/2*j**2 = 0 for j.
-1, 3
Let u(s) be the first derivative of 0*s**2 + 1/15*s**5 + 0*s + 1/9*s**3 - 1/6*s**4 - 1. Factor u(g).
g**2*(g - 1)**2/3
Factor 1/2*q + 0 + 0*q**2 - 1/2*q**3.
-q*(q - 1)*(q + 1)/2
Let x(m) = -m**3 + 8*m**2 + m - 10. Let w be x(8). Let o = w - -4. Suppose -2/9*j**o - 8/9 - 8/9*j = 0. Calculate j.
-2
Let r(h) = -h + 1. Let o(z) = -z**2 - 17*z + 20. Let p(w) = o(w) - 5*r(w). Let b be p(-13). Factor -1/3*u + 0 + 1/3*u**b.
u*(u - 1)/3
Let g(p) be the first derivative of -2*p**3/3 + 6*p**2 - 10*p - 55. Factor g(q).
-2*(q - 5)*(q - 1)
Let g(i) be the third derivative of -i**8/588 - 2*i**7/245 - i**6/210 + i**5/35 + i**4/21 + 5*i**2. Solve g(n) = 0 for n.
-2, -1, 0, 1
Let m be (-6)/33 - (-46)/11. Find y, given that 2*y**3 + 0*y**2 + 0*y**4 + y**2 + 2*y**4 - y**m = 0.
-1, 0
Let d(m) be the first derivative of -2*m**9/189 - m**8/35 - m**7/420 + m**6/30 - m**5/60 + m**3 - 4. Let h(i) be the third derivative of d(i). Factor h(b).
-2*b*(b + 1)**2*(4*b - 1)**2
Let a(w) be the third derivative of -w**6/660 + w**5/55 - 35*w**2. Factor a(f).
-2*f**2*(f - 6)/11
Let w(l) = -30*l**3 - 9*l**2 - 21. Let g(v) = 3*v**3 + v**2 + 2. Let q(t) = 21*g(t) + 2*w(t). Find d, given that q(d) = 0.
-1, 0
Let t(u) = -2 - 2 - 6*u + u**2 + u + 0*u**2. Let a(g) = g. Let n(r) = -15*a(r) - 3*t(r). Factor n(z).
-3*(z - 2)*(z + 2)
Solve 0*m**4 - 46*m**4 + 76*m**3 + 14*m**2 + 8*m + 12*m**5 - 6*m**4 - 58*m**2 = 0 for m.
0, 1/3, 1, 2
Let l be 0 + 3 - ((-323)/(-6))/19. Let x(c) be the second derivative of -1/3*c**2 + 1/30*c**5 + 1/3*c**3 + 0 + 3*c - l*c**4. Suppose x(m) = 0. What is m?
1
Suppose -2*i + 36*c - 31*c + 14 = 0, 4*c + 8 = 0. Factor -2/3*r + 4/15 - 2/15*r**3 + 8/15*r**i.
-2*(r - 2)*(r - 1)**2/15
Let o(s) be the second derivative of -2*s + 0 + 1/3*s**2 + 1/6*s**3 + 1/36*s**4. Factor o(x).
(x + 1)*(x + 2)/3
Let c be (-20)/(-150) + (-43)/(-15). Find u such that -2/7*u**c - 4/7 - 8/7*u**2 - 10/7*u = 0.
-2, -1
Let p(k) = k**2 - k. Let n(u) = u**3 + u**2 - 13*u - 16. Let y(j) = 3*n(j) - 3*p(j). Suppose y(f) = 0. What is f?
-2, 4
Let d = -171/4 + 1205/28. Let j = 0 - 0. Let 0*l + d*l**3 + j + 0*l**2 = 0. What is l?
0
Let h(l) be the second derivative of 2*l + 0*l**2 + 0*l**4 + 0 - 1/90*l**5 + 0*l**3. Factor h(f).
-2*f**3/9
Let l(o) = o**4 - o**3 + o**2 + o - 1. Let m(k) = -k**5 - 3*k**3 + 3*k**2 + 3*k - 3. Let i(b) = 6*l(b) - 2*m(b). Factor i(x).
2*x**4*(x + 3)
Let w be 1638/1960 + 3/(-4). Let o = w - -1/5. Solve 0 + 2/7*u**4 + o*u**3 - 2/7*u**2 - 2/7*u = 0 for u.
-1, 0, 1
Factor 0*g - g - 3*g**2 - 5*g + 0 - 3.
-3*(g + 1)**2
Let q(g) be the first derivative of 3*g**5/5 + 7*g**4/6 + g**3/9 - 2*g**2/3 - 17. Factor q(m).
m*(m + 1)**2*(9*m - 4)/3
Factor 7*a**2 + 3*a - a**2 + 9*a**2 + 14*a**3 - 2*a**3.
3*a*(a + 1)*(4*a + 1)
Let z(u) be the first derivative of u**6/12 + u**5/5 - u**3/3 - u**2/4 + 22. Factor z(a).
a*(a - 1)*(a + 1)**3/2
Let a(q) = 4*q**2 - 4*q - 1. Let w(n) = n**3 + 6*n**2 + 5*n + 1. Let o be w(-5). Let b(c) = c**2 - c - 1. Let l(z) = o*a(z) - b(z). Solve l(r) = 0 for r.
0, 1
Let z(y) = y**5 + 2*y**4 - 2*y**2 - y + 2. Let h(w) = 6*w**5 + 10*w**4 - w**3 - 9*w**2 - 5*w + 10. Let c(u) = 4*h(u) - 22*z(u). Determine l so that c(l) = 0.
-1, 1, 2
Let z(b) be the first derivative of -b**3/24 + b**2/4 - 3*b/8 + 2. Let z(q) = 0. Calculate q.
1, 3
Let p be 4/(-6)*(-3 - (-54)/24). Factor 1/4*s**3 - p + 0*s**2 - 3/4*s.
(s - 2)*(s + 1)**2/4
Let b(c) be the third derivative of -c**8/84 - 2*c**7/105 + c**6/30 + c**5/15 - 17*c**2. Find x, given that b(x) = 0.
-1, 0, 1
Let s(h) be the first derivative of -4/7*h + 9/7*h**2 + 1 - 2/3*h**3. Factor s(b).
-2*(b - 1)*(7*b - 2)/7
Let i(b) = 4*b**2 - b. Let z be i(1). Suppose -z + 1 = -k, -2*k = -w - 1. Solve -2*n**5 + 4*n**5 - w*n**2 - 7*n**4 + n - 2*n**2 + 8*n**3 + n**3 = 0.
0, 1/2, 1
Let p(b) = -b + 7. Let q be p(3). Let k(o) be the third derivative of -2*o**2 + 0*o + 0*o**q - 1/180*o**5 + 1/18*o**3 + 0. Factor k(m).
-(m - 1)*(m + 1)/3
Let n be (2/(-4))/((-1)/24). Let v be n/(-2)*(-3)/63. Suppose 0*x**3 - 4/7*x**2 + 0*x + v*x**4 + 2/7 = 0. Calculate x.
-1, 1
Let n(m) be the first derivative of 3*m**4/4 - 2*m**3 - 6. Factor n(u).
3*u**2*(u - 2)
Let d(f) be the second derivative of 2*f + 1/3*f**3 + 0*f**2 + 0 + 1/6*f**4. Solve d(t) = 0.
-1, 0
Let x(q) be the second derivative of 2/15*q**3 - 1/30*q**4 - 3*q - 1/5*q**2 + 0. Let x(l) = 0. What is l?
1
Factor 10/3*t**2 - 25/3*t - 5.
5*(t - 3)*(2*t + 1)/3
Let y(m) be the third derivative of -9*m**2 + 0 + 0*m - 11/30*m**5 + 7/60*m**6 - 4/21*m**3 + 8/21*m**4. Let y(f) = 0. What is f?
2/7, 1
Let s be (-4)/(-12) + -2 + 2. Let m be (2/(-9))/(5/(-15)). Let -1/3*h**4 + s*h**2 + m*h - 2/3*h**3 + 0 = 0. Calculate h.
-2, -1, 0, 1
Find k such that 1/5*k**4 + 3/5*k**3 + 1/5*k + 3/5*k**2 + 0 = 0.
-1, 0
Factor 2/5*o**3 + 0 + 0*o**2 - 2/5*o.
2*o*(o - 1)*(o + 1)/5
Let l = 87 - 82. Let r(k) be the second derivative of 0 + 1/8*k**4 + k - 1/4*k**3 - 1/40*k**l + 1/4*k**2. Factor r(m).
-(m - 1)**3/2
Let q = -1382 - -48374/35. Let x(w) be the first derivative of q*w**5 + 0*w**2 - 4/21*w**3 + 1/7*w**6 + 0*w - 3/14*w**4 - 2. Determine i so that x(i) = 0.
-1, -2/3, 0, 1
Let c(m) be the third derivative of -2*m**7/315 + 2*m**6/45 - 2*m**5/15 + 2*m**4/9 - 2*m**3/9 + 4*m**2. Factor c(t).
-4*(t - 1)**4/3
Let v(i) be the second derivative of -i**5/4 + 5*i**4/6 + 5*i**3/6 - 5*i**2 - 40*i. Factor v(w).
-5*(w - 2)*(w - 1)*(w + 1)
Let b(g) be the first derivative of -g**4 - 8*g**3/3 + 9. Factor b(d).
-4*d**2*(d + 2)
Let x(v) = -v + 5. Let a be x(5). Let k = 176/65 + -4/13. Factor 16/5*s**3 + a*s - k*s**2 + 2/5 - 6/5*s**4.
-2*(s - 1)**3*(3*s + 1)/5
Let u(p) be the second derivative of -3*p**5/100 + 9*p**4/20 - 12*p**3/5 + 24*p**2/5 + 15*p. Factor u(r).
-3*(r - 4)**2*(r - 1)/5
Let k(d) be the third derivative of 0 + 0*d**4 + 1/35*d**7 + 0*d**3 + 0*d - 1/168*d**8 - 1/20*d**6 - 4*d**2 + 1/30*d**5. Factor k(x).
-2*x**2*(x - 1)**3
Factor -27*x**2 + 13*x**2 - 3*x + 7*x.
-2*x*(7*x - 2)
Suppose 0 = 4*x + 5 - 13, -2*x = -q + 1. Let n(y) be the second derivative of -4/15*y**4 - 8/25*y**q + 0 - 1/15*y**3 + 3*y + 0*y**2. Factor n(p).
-2*p*(4*p + 1)**2/5
Find i, given that 0 - 8/9*i**2 + 2/9*i**3 + 2/3*i = 0.
0, 1, 3
Suppose 3*o - 5*o + 0*o = 0. Find s such that o*s**2 - 3/5*s**4 + 0 + 0*s - 3/5*s**3 = 0.
-1, 0
Let -38*p**2 + 44*p - 8 - 18*p**2 + 5*p**4 - 28*p**5 - 16*p**3 + 59*p**4 = 0. What is p?
-1, 2/7, 1
Let v be ((-3)/(-4))/((5 - -3)/32). Suppose 0 - 1/4*h**v + 1/2*h**2 - 1/4*h = 0. What is h?
0, 1
Let c = 1/1646 - -394/28805. Let n(k) be the second derivative of 0 - 1/14*k**4 + 1/21*k**3 + k + 2/7*k**2 + 1/105*k**6 - c*k**5. Factor n(m).
2*(m - 2)*(m - 1)*(m + 1)**2/7
Let l(v) be the second derivative of v**6/300 - v**5/75 + v**4/60 + 4*v**2 + 5*v. Let h(i) be the first derivative of l(i). Factor h(y).
2*y*(y - 1)**2/5
Let m(f) be the first derivative of -f + 0*f**2 - 1 + 0*f**3 + 1/24*f**4. Let x(p) be the first derivative of m(p). Solve x(j) = 0 for j.
0
Let l(d) be the first derivative of -2/25*d**5 + 2/15*d**3 - 6 + 0*d + 0*d**4 + 0*d**2. Determine f, given that l(f) = 0.
-1, 0, 1
Suppose -4*b = -5*d + 20, 4*d = b + 3*b + 16. Suppose -9*a**3 - 3*a**5 - 11*a**d + 2*a**4 + 2*a**2 - 5*a**2 = 0. What is a?
-1, 0
Let c be 2/10 - 7/135. Let p(w) be the third derivative of 13/270*w**5 - 4*w**2 + 0*w - 1/45*w**6 + c*w**3 + 5/27*w**4 + 0. Determine o, given that p(o) = 0.
-2/3, -1/4, 2
Let x = -207