, given that m(f) = 0.
1
Find d such that -2/13*d**4 + 2/13*d**5 + 0 + 0*d**2 + 0*d**3 + 0*d = 0.
0, 1
Let s(g) = -3*g**5 - 6*g**4 - 3*g**3 + 3*g. Suppose -6 = -2*y - 0. Let r(o) = -3*o**5 - 6*o**4 - 3*o**3 + 2*o. Let w(z) = y*r(z) - 2*s(z). Factor w(v).
-3*v**3*(v + 1)**2
Let f(m) be the first derivative of m**8/8400 - m**6/1800 - m**3/3 + 1. Let b(z) be the third derivative of f(z). Factor b(q).
q**2*(q - 1)*(q + 1)/5
Let h(y) = y**2 + 8*y + 14. Let t be h(-6). Let j be (-1)/(-3)*(1 - -1). Factor -j + 7/3*f**t + 5/3*f.
(f + 1)*(7*f - 2)/3
Let f be (27/18)/((-1)/2) - -5. Factor -2/3 + 1/3*u + 1/3*u**f.
(u - 1)*(u + 2)/3
Suppose 3*u - 3 = 3. Find i such that 3*i - 5*i**5 - 6*i**3 + 8*i**5 + 14 - 11 - 6*i**u + 3*i**4 = 0.
-1, 1
Suppose 4*g - 3*g + 2*w = 7, -w - 2 = -5*g. Factor 3 - g - t**2 + t**3 - t - t**2.
(t - 2)*(t - 1)*(t + 1)
Let y be ((-60)/21)/(-2)*7. Factor -y*l**2 - 6*l - 8*l**2 + l + l - 14*l**3.
-2*l*(l + 1)*(7*l + 2)
Let l = 5 + -2. Let t(f) be the first derivative of -1 - 2/7*f + 2/7*f**2 - 2/21*f**l. Factor t(z).
-2*(z - 1)**2/7
Let h be (-3 - 224/(-36)) + -3. Factor -2/9*p + 2/9 - h*p**2 + 2/9*p**3.
2*(p - 1)**2*(p + 1)/9
Let -4/9*a**3 - 1/9 + 1/9*a**2 + 4/9*a = 0. What is a?
-1, 1/4, 1
Factor 3 + p**2 - 4 - 2*p - 2.
(p - 3)*(p + 1)
Let q(b) = 2*b - 14. Let a be q(7). Let t(s) be the second derivative of 0*s**2 + s + 0 + 1/105*s**6 + 1/70*s**5 + a*s**3 + 0*s**4. Factor t(u).
2*u**3*(u + 1)/7
Let c(q) be the second derivative of q**4/90 - 2*q**3/45 + 35*q. Factor c(k).
2*k*(k - 2)/15
Let f(q) be the third derivative of 0*q**3 + 0*q - 3*q**2 + 1/90*q**6 + 0*q**5 + 0 + 0*q**4 + 1/63*q**7. Factor f(y).
2*y**3*(5*y + 2)/3
Let q be ((-2)/5)/((-91)/65). Let c be 7/3 - 2/6. Factor 8/7 + q*d**c + 8/7*d.
2*(d + 2)**2/7
Find l such that -5*l**2 - 8 + 4 - 5*l**3 + 5*l + 9 = 0.
-1, 1
Let s(k) be the second derivative of 0 + 1/28*k**4 + 1/7*k**3 - 3/70*k**5 - 1/70*k**6 + 3*k + 0*k**2. Suppose s(t) = 0. Calculate t.
-2, -1, 0, 1
Let l(r) be the third derivative of -r**8/252 - 2*r**7/315 + r**6/30 + r**5/45 - r**4/9 - 4*r**2. What is s in l(s) = 0?
-2, -1, 0, 1
Let w(j) be the third derivative of j**6/192 + 9*j**5/160 - 5*j**4/48 - j**3/4 + 40*j**2. Solve w(n) = 0.
-6, -2/5, 1
Suppose 2*y - 4 = -v, 10 = -3*v - 2*v + 5*y. Find n, given that -2/7*n**4 + 0*n**2 + 0 - 4/7*n**3 + v*n = 0.
-2, 0
Let w be (24/(-42))/(-6 + (-128)/(-28)). Let w*h**2 + 2/5 + 4/5*h = 0. Calculate h.
-1
Find y, given that -1/8*y**2 + 3/8*y**3 - 1/8*y**4 - 3/8*y + 1/4 = 0.
-1, 1, 2
Let d = 23 + -18. Suppose d*p - 3*k - 7 = 0, 2*p + 1 - 3 = 2*k. Find m, given that 0*m - 30/7*m**4 + 0 - 2/7*m**p + 2*m**3 + 18/7*m**5 = 0.
0, 1/3, 1
Let u be (-9)/3 - 70/4. Let k = -20 - u. Suppose -1/2*q - 1/2*q**2 + 0 + k*q**4 + 1/2*q**3 = 0. Calculate q.
-1, 0, 1
Let x be (-944)/(-12) - 1 - -3. Let b = 82 - x. Determine q so that 1/3*q**2 + 4/3 + b*q = 0.
-2
Let n be 0*(-1)/(-3) + 1. Let s = -3 + 5. Solve -20*r - 4 - 18*r**s + n - 7*r**3 - r**4 - 5 = 0 for r.
-2, -1
Let n(d) be the second derivative of -1/16*d**4 - 1/8*d**3 + 0*d**2 + 0 - 3*d. Solve n(q) = 0 for q.
-1, 0
Suppose -17*b + 20*b - 6 = 0. Factor 1/2*t**b + 2*t + 2.
(t + 2)**2/2
Suppose 0*j**2 + 1/3*j**5 + 0 + 0*j + 4/3*j**3 - 4/3*j**4 = 0. What is j?
0, 2
Let q = 20 - 17. Let y = 2 - 0. Factor -3*b**q + b + b**y - b**4 + 4*b**3 - 2*b.
-b*(b - 1)**2*(b + 1)
Let k(p) be the third derivative of 1/30*p**5 - 1/4*p**4 + 0*p - p**2 + 0 + 2/3*p**3. Determine m so that k(m) = 0.
1, 2
Let i(w) be the first derivative of w**3/3 - w**2/2 - 2*w - 4. Factor i(y).
(y - 2)*(y + 1)
Let n(c) = -5*c**3 - 2*c**2 - 4*c + 7. Let h(x) = x**3 - 1. Let t(i) = -6*h(i) - n(i). Let k be t(3). Find s such that s**2 + 4*s + 0*s**2 - k*s + 1 = 0.
-1
Let m(r) be the first derivative of -1/5*r**4 + 4/5*r + 3/5*r**2 + 4 - 2/5*r**3. Factor m(o).
-2*(o - 1)*(o + 2)*(2*o + 1)/5
Let v(i) be the second derivative of 0*i**4 + 1/60*i**5 + 3*i + 0*i**2 - 1/90*i**6 + 0 + 0*i**3. Suppose v(a) = 0. What is a?
0, 1
Suppose p + 3*p - 4 = 0. Let i be 0 - (p/(-1) - 13). Factor 3*f - 10*f**3 - 2*f - i*f**2 - 5*f.
-2*f*(f + 1)*(5*f + 2)
Let u be 8/(-28)*(-3 - (-2)/3). Suppose 4/3*t**3 + 2/3 + 2/3*t**4 - 2/3*t**5 - 4/3*t**2 - u*t = 0. What is t?
-1, 1
Let h(t) be the second derivative of 5*t**8/336 - 2*t**7/35 + 3*t**6/40 - t**5/30 - t**2/2 - t. Let w(l) be the first derivative of h(l). Factor w(z).
z**2*(z - 1)**2*(5*z - 2)
Let m be 6/(1/((-4)/(-3))). Suppose -3*d - 8 = -7*d - 2*y, 4*d - m = -4*y. Factor -2/3*v**3 - v**d + 0 + v**4 + 2/3*v.
v*(v - 1)*(v + 1)*(3*v - 2)/3
Let n(q) be the first derivative of -q**5/10 + q**4/2 - q**3 + q**2 + q + 2. Let r(u) be the first derivative of n(u). Factor r(x).
-2*(x - 1)**3
Let i(f) be the first derivative of f**4/2 - 6*f**3/7 + 2*f**2/7 - 4. Factor i(n).
2*n*(n - 1)*(7*n - 2)/7
Let t be -2 + (-2 + (-70)/(-8))/3. Solve t*f**3 + 1/4*f**5 + 0*f**2 + 0 + 0*f + 1/2*f**4 = 0.
-1, 0
Let a = -30 - -30. Let w be (33/55)/(a + 1). Let -3/5*d + 0 + 3/5*d**4 + w*d**3 - 3/5*d**2 = 0. Calculate d.
-1, 0, 1
Let w be (3 + 0 + 1 - 0) + -1. Let a(m) be the first derivative of 1 - 2/5*m**4 - 2/15*m**w + 0*m + 0*m**2 - 6/25*m**5. Solve a(q) = 0 for q.
-1, -1/3, 0
Let w(f) be the third derivative of f**5/12 - f**4/8 - f**3/3 - f**2. Let x(n) = -81*n**2 + 48*n + 33. Let v(q) = -33*w(q) - 2*x(q). What is y in v(y) = 0?
0, 1
Let y(g) be the second derivative of -27/10*g**5 - 3*g**4 - 9/10*g**6 - 2*g + 0 - 4/3*g**3 + 0*g**2. Suppose y(i) = 0. What is i?
-2/3, 0
Let o(v) be the second derivative of -4*v - 1/15*v**3 + 1/20*v**4 + 0*v**2 + 0. Let o(j) = 0. What is j?
0, 2/3
Let d(i) be the third derivative of i**9/30240 - i**7/2520 - i**5/30 - 4*i**2. Let m(f) be the third derivative of d(f). Factor m(k).
2*k*(k - 1)*(k + 1)
Let i(u) be the first derivative of 3*u**4/4 + 4*u**3 + 15*u**2/2 + 6*u - 1. Find j, given that i(j) = 0.
-2, -1
Let y(k) be the first derivative of 2*k**6/3 + 52*k**5/5 + 48*k**4 + 48*k**3 + 19. Determine w so that y(w) = 0.
-6, -1, 0
Let s(q) be the third derivative of q**10/680400 - q**8/90720 + q**5/20 + 4*q**2. Let f(x) be the third derivative of s(x). Suppose f(g) = 0. Calculate g.
-1, 0, 1
Suppose g + 20 = 6*g. Suppose -c = -4*c + 4*n - 6, 0 = g*c + 4*n - 20. Factor 0 + 5/3*t**c - 2/3*t.
t*(5*t - 2)/3
Let d = -2/317 + 959/1268. Let 0*x + x**4 - d*x**3 - 1/4*x**2 + 0 = 0. What is x?
-1/4, 0, 1
Let a(m) = -9*m + 1. Let c be a(1). Let g be c*(39/(-9) - -4). Factor 16/3*l - g - 2*l**2.
-2*(l - 2)*(3*l - 2)/3
Let y(s) be the first derivative of 5*s**4/16 - 15*s**3/4 - 25*s**2/4 - 38. Factor y(g).
5*g*(g - 10)*(g + 1)/4
Let h(u) be the first derivative of u**6/18 - u**4/2 + 8*u**3/9 - u**2/2 + 28. Determine y, given that h(y) = 0.
-3, 0, 1
Let x = 26 + -14. Let g = x + -6. Determine t, given that t**4 + g*t**2 - 2*t**3 - 5*t**2 + 4*t**3 = 0.
-1, 0
Suppose 5*l = -3*q - 7, -4*l - 2*q - 12 = 2*q. Let 0*r**2 + r - r**2 + l + 5*r**3 - 6*r**3 = 0. Calculate r.
-1, 1
Suppose -3*v + 5*a + 16 = 0, 5*a + 12 = 2*v - 2. Determine m so that 0 - 1/7*m**v + 1/7*m = 0.
0, 1
Let i be 4/22 + (-93)/693. Let t(u) be the second derivative of 1/105*u**6 - 3*u - i*u**3 - 1/42*u**4 + 1/70*u**5 + 0*u**2 + 0. Factor t(c).
2*c*(c - 1)*(c + 1)**2/7
Let 5*x**2 - 16*x**2 + 15*x**2 - 4 = 0. Calculate x.
-1, 1
Let t(g) = -5*g + 1. Let r be t(-1). Let p(v) = 2*v. Let n be p(2). Determine h, given that h**2 - r*h**2 - 1 - n*h + h**2 = 0.
-1/2
Let r(n) be the first derivative of -n**6/1620 + n**5/270 - n**4/108 + n**3 + 4. Let x(o) be the third derivative of r(o). Factor x(f).
-2*(f - 1)**2/9
Let i(m) be the third derivative of 1/21*m**7 + 0*m + 0 - 17/60*m**6 + 2/3*m**3 - 11/12*m**4 - 2*m**2 + 7/10*m**5. Determine l so that i(l) = 0.
2/5, 1
Let d(q) = -q**3 - q**2. Let c be d(0). Let o = 2 + c. Solve 3*r**4 - 4*r**3 + 3*r**3 + o*r**3 = 0 for r.
-1/3, 0
Let p(i) be the first derivative of -1/21*i**3 + 1/42*i**4 + 1/70*i**5 - 3*i - 3 - 1/7*i**2. Let o(k) be the first derivative of p(k). What is u in o(u) = 0?
-1, 1
Let v(t) be the second derivative of 2*t + 1/60*t**4 + 1/10*t**2 + 0 + 1/15*t**3. Factor v(s).
(s + 1)**2/5
Let l = -3 - -6. Suppose l*g = 9 + 3. Factor b**g + 1/3*b**2 + 1/3*b**5 + 0 + b**3 + 0*b.
b**2*(b + 1)**3/3
Factor 0 + 3/4*n + 15/4*n**2 + 21/4*n**3 + 9/4*n**