 5*v. Let m(c) = -7*g(c) + 6*r(c). Let m(y) = 0. What is y?
-2, -1, 0
Let i(b) = -b**5 + 4*b**4 - 10*b**3 + 8*b**2. Let j(y) = -3*y**5 + 11*y**4 - 29*y**3 + 24*y**2. Let x(s) = 7*i(s) - 2*j(s). Suppose x(w) = 0. What is w?
0, 2
Factor 5*l + 0*l**4 - 3*l**3 + 12*l**2 - 6*l**4 - 6*l**4 - 2*l.
-3*l*(l - 1)*(l + 1)*(4*l + 1)
Let j(c) be the first derivative of 2 - c - 1/120*c**6 + 1/24*c**3 - 1/16*c**4 + 3/80*c**5 + 0*c**2. Let i(t) be the first derivative of j(t). Factor i(m).
-m*(m - 1)**3/4
Let p be 2 + 4/(-2) + -2. Let m be (p/42)/((-3)/18). Determine v so that -2/7*v**3 + m*v + 0 + 0*v**2 = 0.
-1, 0, 1
Let a(d) be the third derivative of -2/15*d**3 + 0 + 0*d - 1/20*d**4 + 1/100*d**6 + 1/150*d**5 - 5*d**2 + 1/525*d**7. Let a(q) = 0. What is q?
-2, -1, 1
Let d(t) be the third derivative of -t**6/360 - t**5/36 - t**4/9 - 2*t**3/9 + 3*t**2. Find q, given that d(q) = 0.
-2, -1
Suppose 6*m - 8 = 4. Factor 0*h**3 + 0*h + 0 + 2/5*h**4 - 2/5*h**m.
2*h**2*(h - 1)*(h + 1)/5
Let -1 + 1/2*d + 1/2*d**2 = 0. What is d?
-2, 1
Let z(y) be the second derivative of 2*y**7/147 + 8*y**6/105 + y**5/7 + 2*y**4/21 - y. Factor z(j).
4*j**2*(j + 1)**2*(j + 2)/7
Let i(g) be the third derivative of -19/75*g**5 - 1/840*g**8 - 8/525*g**7 - 1/12*g**6 - 8/15*g**3 + 0 + 3*g**2 + 0*g - 7/15*g**4. Determine u so that i(u) = 0.
-2, -1
Let w(l) be the third derivative of l**8/1848 - l**6/132 + l**4/33 - 23*l**2. Let w(o) = 0. Calculate o.
-2, -1, 0, 1, 2
Let n(g) = -32*g**3 - 32*g**2 - 14*g + 8. Suppose 0*q + 3 = q. Let k(v) = -11*v**3 - 11*v**2 - 5*v + 3. Let s(w) = q*n(w) - 8*k(w). Factor s(m).
-2*m*(2*m + 1)**2
Let p(t) be the third derivative of 2/45*t**5 + 4*t**2 - 1/36*t**4 + 0 + 0*t**3 + 0*t. What is o in p(o) = 0?
0, 1/4
What is p in 0*p**4 + 0*p**4 + 4*p**4 + 4 + 19*p**3 + 18*p - p**3 + 28*p**2 = 0?
-2, -1, -1/2
Let y = 10 - 6. Suppose -4 = 3*k - y*k. Suppose 2*m**k + m**5 + 2*m**4 - 2*m**4 = 0. Calculate m.
-2, 0
Let n = 4 + -1. Factor 2*c**4 + 5*c**5 - 5*c**n - 6*c**5 + 4*c**3.
-c**3*(c - 1)**2
Let d(b) be the second derivative of b**5/90 + b**4/27 - 5*b**3/27 - 2*b**2/3 - 70*b. Let d(a) = 0. What is a?
-3, -1, 2
Let g(m) be the second derivative of m**4/8 + 2*m**3 + 12*m**2 + 10*m. Factor g(z).
3*(z + 4)**2/2
Let v(w) = -2*w**3 + 3*w**2 - 11*w - 5. Let u(q) = -9*q**3 + 12*q**2 - 45*q - 21. Let i(k) = -5*u(k) + 21*v(k). Factor i(t).
3*t*(t - 1)*(t + 2)
Suppose -5 = 12*t - 53. Let p(f) be the first derivative of -4/3*f**3 - 1/3*f**6 + 1 + 2*f - f**2 + f**t + 2/5*f**5. Factor p(y).
-2*(y - 1)**3*(y + 1)**2
Let d(a) = -7*a**5 + 7*a**3 - 5*a**2 - 5*a + 5. Let n(x) = -6*x**5 + 6*x**3 - 4*x**2 - 4*x + 4. Let h = -7 - -3. Let u(k) = h*d(k) + 5*n(k). Solve u(i) = 0.
-1, 0, 1
Let o = 107 - 107. Suppose o + 5/7*b**2 + 1/7*b + 4/7*b**3 = 0. Calculate b.
-1, -1/4, 0
Let k(m) = -m**4 + 3*m**3 - 6*m**2 + 4*m - 4. Let c(r) = -3*r**4 + 9*r**3 - 17*r**2 + 11*r - 11. Let a(s) = -4*c(s) + 11*k(s). Suppose a(b) = 0. What is b?
0, 1, 2
Let j(t) be the second derivative of t**7/126 - t**6/45 - t**5/60 + t**4/18 + 6*t. Find a, given that j(a) = 0.
-1, 0, 1, 2
Determine j so that 3/5*j**2 + 6*j + 15 = 0.
-5
Let o(m) be the first derivative of -2*m**5/15 - 2*m**4/3 + 4*m**3/3 + 4*m**2/3 - 10*m/3 + 24. Solve o(p) = 0.
-5, -1, 1
Let z(o) be the first derivative of -o**5/100 + o**3/30 + 7*o + 5. Let y(q) be the first derivative of z(q). Factor y(t).
-t*(t - 1)*(t + 1)/5
Suppose 0 = -4*o - 5*q - 9, -o + 2*q = -3*o - 2. Let m(z) be the third derivative of -2*z**2 - 1/420*z**6 + 0 + 0*z**o + 0*z**3 - 1/210*z**5 + 0*z. Factor m(d).
-2*d**2*(d + 1)/7
Let z be (-6)/15 - 51/(-15). Factor 9*p - 3 + 11*p**z - 9*p**2 + p**3 - 9*p**3.
3*(p - 1)**3
Let b(t) = -4*t + 12. Let a be b(3). Let g(r) be the third derivative of -1/90*r**5 + 0*r**3 + 0 + 0*r**4 - 1/180*r**6 + 4*r**2 + a*r. What is k in g(k) = 0?
-1, 0
Factor 0 - 2/15*h**3 + 0*h + 0*h**2.
-2*h**3/15
Let n = -19 - -19. Let f(t) be the second derivative of 1/42*t**4 + 0 + 1/21*t**3 + n*t**2 - 2*t. Factor f(b).
2*b*(b + 1)/7
Let y(l) be the third derivative of l**10/60480 - l**8/4480 - l**7/2520 - l**4/8 + 6*l**2. Let m(h) be the second derivative of y(h). Factor m(w).
w**2*(w - 2)*(w + 1)**2/2
Solve -40*h**2 - 6 + 0*h**2 + 30*h + 45*h**4 - 30*h**3 + 1 = 0.
-1, 1/3, 1
Let d(k) = 26*k**4 - k**3 - 10*k**2 + k. Let v(i) = 52*i + 0*i**3 + 7*i**2 + i**3 - 53*i - 17*i**4. Let u(a) = -5*d(a) - 8*v(a). Suppose u(s) = 0. Calculate s.
-1, 0, 1/2, 1
Let y(u) = u**2 - 52*u - 161. Let a be y(55). Find b such that 0*b**2 - 2/5 + 2/5*b**a + 4/5*b**3 - 4/5*b = 0.
-1, 1
Let d(f) be the first derivative of -f**7/1260 + f**6/270 - f**5/180 - f**3 - 2. Let y(b) be the third derivative of d(b). Find l, given that y(l) = 0.
0, 1
Let g(x) be the second derivative of x**8/6720 - x**7/1120 + x**6/720 - x**3/6 - 3*x. Let t(j) be the second derivative of g(j). Find d such that t(d) = 0.
0, 1, 2
Let y(p) be the second derivative of -1/10*p**5 - 1/15*p**6 + 0*p**3 + 1/6*p**4 + 1/21*p**7 + 0 - p + 0*p**2. Factor y(v).
2*v**2*(v - 1)**2*(v + 1)
Let i be (3/(-6))/((-2)/12). Suppose 3 = -2*q - i*u, -9 = -4*q - 3*u + 2*u. Solve -2*o**2 + o**4 + 3*o**4 - 2*o**4 + 2*o - 2*o**q = 0 for o.
-1, 0, 1
Let p(i) be the second derivative of -1/12*i**4 - 1/40*i**5 - 4*i + 0*i**2 - 1/12*i**3 + 0. Factor p(r).
-r*(r + 1)**2/2
Let a(l) be the third derivative of -l**7/105 - l**6/180 + l**5/45 - 5*l**2. Factor a(i).
-2*i**2*(i + 1)*(3*i - 2)/3
Determine u, given that 20 + 40*u**2 + 6*u - 45*u**2 + 5*u**3 - 26*u = 0.
-2, 1, 2
Let b be (-48)/(-6) - (-6)/(-2). Suppose 13 = b*a - 2. Let -2/3*j**a + 2/3*j - 2/3*j**2 + 2/3 = 0. Calculate j.
-1, 1
Let y be (-11)/1 - (1 + -2). Let v be 8/8 + 2/y. Factor v + 2/5*a - 2/5*a**2.
-2*(a - 2)*(a + 1)/5
Let j(r) be the second derivative of 2*r**6/15 + 2*r**5/5 - 4*r**4/3 - 16*r**3/3 + 4*r. Determine f so that j(f) = 0.
-2, 0, 2
Let v(f) be the third derivative of f**6/40 - 2*f**5/5 + 2*f**4 + 15*f**2. Factor v(p).
3*p*(p - 4)**2
Let w(j) be the second derivative of -j - 1/36*j**4 + 0*j**2 - 1/18*j**3 + 0. Factor w(h).
-h*(h + 1)/3
Find v such that 61*v + 21*v**4 - 2*v**5 + 57*v**3 + 75*v**2 + 12 - 13*v + 4*v**5 + v**5 = 0.
-2, -1
Let b(r) be the third derivative of -r**6/1980 - r**5/165 - r**4/33 - 5*r**3/6 - 10*r**2. Let d(c) be the first derivative of b(c). What is z in d(z) = 0?
-2
Let d = 6 + -6. Factor 11*w - 2*w + d*w**3 + 3 + 9*w**2 + 3*w**3.
3*(w + 1)**3
Let r(i) be the third derivative of -4*i**7/105 + i**6/20 + i**5/30 - 5*i**2. Factor r(a).
-2*a**2*(a - 1)*(4*a + 1)
Let f(a) = -a + 5. Let h be f(4). Suppose 10 = 3*b + h. Suppose -35*j + 35*j - j**5 + j**b = 0. What is j?
-1, 0, 1
Let q = 26 - 24. Let h(n) be the first derivative of -2/3*n**3 - 2*n - 1 - 2*n**q. Factor h(p).
-2*(p + 1)**2
Find r such that -2/3*r + 2/15*r**3 + 2/5*r**2 + 4/15 - 2/15*r**4 = 0.
-2, 1
Suppose -16*i + 8 = -12*i. Suppose 6*x**2 - 12*x**i + 3*x - 2*x + 8*x**2 = 0. Calculate x.
-1/2, 0
Let r(y) be the second derivative of -y**5/30 - y**4/12 - y**2 + 4*y. Let g(h) be the first derivative of r(h). Factor g(p).
-2*p*(p + 1)
Let h(t) be the second derivative of t**7/105 + t**6/25 + 3*t**5/50 + t**4/30 - 8*t. Factor h(c).
2*c**2*(c + 1)**3/5
Let k(u) be the second derivative of 0*u**3 + 4*u + 1/165*u**6 + 0 + 1/66*u**4 + 0*u**2 + 1/55*u**5. Let k(q) = 0. Calculate q.
-1, 0
Let c = 37/154 + 1/22. Let u = -18 + 20. Factor c*b**u - 4/7*b + 2/7.
2*(b - 1)**2/7
Let s(w) be the first derivative of w**3/3 - 3*w**2/2 + 2*w + 2. Let j be s(3). What is x in 0*x**2 + x**4 - 2*x**j + 4*x**3 + x**4 - 4*x**5 = 0?
-1, 0, 1/2, 1
Let z(p) be the first derivative of 1/3*p**2 - 6 - 2/3*p + 2/9*p**3 - 1/6*p**4. Factor z(n).
-2*(n - 1)**2*(n + 1)/3
Let x = 5 + -2. Factor -2/5*a**x + 0*a**2 + 0 + 2/5*a.
-2*a*(a - 1)*(a + 1)/5
Let y(a) be the first derivative of 5*a**3/3 + 60*a**2 + 720*a + 35. Factor y(l).
5*(l + 12)**2
Let w(o) be the first derivative of o**6/60 + o**5/40 - o**4/12 - 4*o + 6. Let f(u) be the first derivative of w(u). Solve f(y) = 0.
-2, 0, 1
Factor 0*g**3 - 12*g**2 - 12*g**3 - 12*g**2 + 8*g**2 + 4*g**4.
4*g**2*(g - 4)*(g + 1)
Let r = -50 + 201/4. Factor -r*i**2 + 1/4*i**4 + 1/4*i + 0 - 1/4*i**3.
i*(i - 1)**2*(i + 1)/4
Let x(d) be the second derivative of 5*d**4/4 - 3*d**3 + 3*d**2/2 - 