e 0*m - 2*m + 8 = 3*v, -4*m - 20 = -3*v. Let i(q) = q**2 + 1. Let d(z) = 3*z**2 + 2*z + 4. Let y(h) = v*i(h) - d(h). Factor y(f).
f*(f - 2)
Suppose -2*p = -2*a - 10, 0*a - 4*a = 5*p + 2. Let m(s) be the first derivative of 1/8*s**4 + p*s**2 - 2*s + 1 - 5/6*s**3. Let m(q) = 0. What is q?
1, 2
Let o(z) = z**4 - z**2. Let u(j) = 3*j**4 - 3*j**2. Let t(m) = 14*o(m) - 4*u(m). Factor t(r).
2*r**2*(r - 1)*(r + 1)
Let c be -1*5 + 391/69. Factor 0 - c*a**2 - 2/9*a**4 + 2/3*a**3 + 2/9*a.
-2*a*(a - 1)**3/9
Let i(y) be the first derivative of y**5/11 + 3*y**4/11 + 2*y**3/11 - 2*y**2/11 - 3*y/11 - 9. Factor i(r).
(r + 1)**3*(5*r - 3)/11
Let d = -118/49 + -799/49. Let p = d + 19. Solve -2/7*o**4 + 2/7*o**2 + 2/7*o**3 + 0 - p*o = 0.
-1, 0, 1
Factor -6/11*x**3 + 2/11*x**4 + 4/11*x**2 + 0*x + 0.
2*x**2*(x - 2)*(x - 1)/11
Let h(c) = -c**3 - c - 1. Let z(s) = 3*s**3 - 6*s**2 - 5*s + 4. Let i(m) = -12*h(m) - 3*z(m). Solve i(a) = 0.
-3, 0
Let y(r) be the first derivative of -r**5/10 - r**4/8 + r**3 + r**2 - 4*r + 8. Find j, given that y(j) = 0.
-2, 1, 2
Let t be (1 - 0)*(-1)/8*-4. Let s(r) be the second derivative of -4*r + t*r**3 + r**2 - 1/20*r**5 + 0*r**4 + 0. Factor s(f).
-(f - 2)*(f + 1)**2
Let g(h) = -4*h**5 - h**4 + 2*h**3 - 11*h**2 + 10*h - 5. Let u(b) = -7*b**5 - b**4 + 4*b**3 - 21*b**2 + 19*b - 9. Let y(d) = -5*g(d) + 3*u(d). Factor y(x).
-(x - 1)**4*(x + 2)
Suppose -2/5*f**4 + 0*f + 1/5*f**5 + 0 + 1/5*f**3 + 0*f**2 = 0. What is f?
0, 1
Factor 2*x + 3 - 4*x**3 + 2*x - 1 + x**4 - 3*x**4.
-2*(x - 1)*(x + 1)**3
Let s(t) = t**2 + t - 2*t**2 - 7*t + 7*t. Let g(f) = f**2 + f. Let l(z) = -g(z) - 3*s(z). Factor l(v).
2*v*(v - 2)
Let h(z) be the third derivative of 4*z**7/735 - 11*z**6/420 + 3*z**5/70 - z**4/84 - z**3/21 - 3*z**2. Factor h(r).
2*(r - 1)**3*(4*r + 1)/7
Let j = 2/3 + -1. Let k = 5/6 + j. Factor k*p + 0 - 1/2*p**2.
-p*(p - 1)/2
Factor 17*c**4 - 6*c**3 - 10*c**2 + 5*c + c - 9*c**4 + 2.
2*(c - 1)**2*(c + 1)*(4*c + 1)
Let y(u) be the first derivative of 1/210*u**5 + 1/84*u**4 - 4 - 2/21*u**3 + 1/2*u**2 + 0*u. Let t(g) be the second derivative of y(g). Solve t(x) = 0.
-2, 1
Let x(k) be the second derivative of -k**4/36 - k**3/18 + k**2/3 + 4*k. Suppose x(p) = 0. What is p?
-2, 1
Let m(o) be the third derivative of o**7/525 + o**6/150 - 2*o**5/25 - 2*o**4/3 - 32*o**3/15 + 26*o**2. Determine z, given that m(z) = 0.
-2, 4
Let z = -2/81 + 97/648. Let c = 5/24 + z. Factor c + 0*o - 1/3*o**2.
-(o - 1)*(o + 1)/3
Let x(j) be the first derivative of 3*j**5/5 - 3*j**4/4 - 3*j**3 + 15*j**2/2 - 6*j - 6. Factor x(b).
3*(b - 1)**3*(b + 2)
Let x(j) be the second derivative of -j**5/40 - j**4/6 - j**3/12 + 3*j**2/2 - 26*j. Suppose x(r) = 0. Calculate r.
-3, -2, 1
Let r(o) be the second derivative of o**4/4 + o**3/2 - 18*o. Determine t so that r(t) = 0.
-1, 0
Let x(b) be the third derivative of -b**6/60 - b**5/10 - b**4/4 - b**3/3 - 4*b**2. Factor x(v).
-2*(v + 1)**3
Suppose -6*f + 48 = -p - 3*f, 5*f + 64 = -p. Let g be 12/p*(-6)/4. Suppose 0*k + 1/3*k**2 + g*k**3 + 0 = 0. Calculate k.
-1, 0
Let m = -623 - -1870/3. Let 0 - 1/3*l**3 + 0*l + 1/3*l**4 - m*l**2 + 1/3*l**5 = 0. What is l?
-1, 0, 1
Let h(j) = j + 1. Let p(t) = -4*t**3 + 20*t + 20. Let x(c) = 20*h(c) - p(c). Factor x(r).
4*r**3
Let x = 10469/4 - 2644. Let u = x + 27. Factor -1/4 - u*a**2 - 1/2*a.
-(a + 1)**2/4
Let c = 175 + -173. Factor -1/7*z**c - 3/7*z - 2/7.
-(z + 1)*(z + 2)/7
Let r(y) = -y**3 + 7*y**2 + y - 5. Let n be r(7). Find p such that p - 4*p**3 + 2*p + n*p - p = 0.
-1, 0, 1
Let q = 1 - 3/4. Let o(t) = -t**2 + 5*t. Let x be o(5). Factor -q*y**2 - 1/4*y + x.
-y*(y + 1)/4
Factor -3/7*n**4 + 0*n + 4/7*n**2 + 1/7*n**5 + 0*n**3 + 0.
n**2*(n - 2)**2*(n + 1)/7
Solve -4*f**2 + 94 - 94 = 0.
0
Let r(v) be the first derivative of 2*v**5/55 - v**4/11 + 2*v**2/11 - 2*v/11 - 56. Factor r(p).
2*(p - 1)**3*(p + 1)/11
Suppose 3*r + 2 = a, -4*a + 4 = -2*a. Factor 8*k**2 + 9*k**4 - 2*k - 19*k**3 + r*k**4 + 6*k - 2*k**4.
k*(k - 2)*(k - 1)*(7*k + 2)
Suppose -z = q - 6, 0 = -0*q - 2*q + 2*z. Suppose 0*t - 3 = -t. Find b, given that -t*b + 3/2*b**2 - 1/4*b**q + 2 = 0.
2
Let f(m) be the first derivative of m**6/360 + m**5/20 + 3*m**4/8 + 4*m**3/3 + 4. Let h(w) be the third derivative of f(w). Factor h(p).
(p + 3)**2
Let r be (11/(-27))/((-4)/(-24)). Let t = -92/45 - r. Factor 7/5*q - t - 3/5*q**2.
-(q - 2)*(3*q - 1)/5
Let r(j) = -1. Let k(s) = -s**2 + 8. Let m(b) = k(b) + 4*r(b). Determine c, given that m(c) = 0.
-2, 2
Let r(z) = -2*z + 0*z + 8 + z. Let f be r(6). Factor 2*k + f*k**2 - 4*k**2 + 4*k**2.
2*k*(k + 1)
Let a(d) be the first derivative of -12*d**5/5 - 5*d**4 + 44*d**3/9 + 22*d**2/3 + 8*d/3 + 23. Solve a(c) = 0 for c.
-2, -1/3, 1
Find q, given that 0 - 1/2*q**3 + 2*q - 3/2*q**2 = 0.
-4, 0, 1
Let t(x) be the first derivative of 0*x + 0*x**4 - 6/5*x**5 + 3/2*x**2 + 2*x**3 + 3 - 1/2*x**6. What is g in t(g) = 0?
-1, 0, 1
Let h be (-2 - (4 + -5))*(-2)/1. Let s(r) be the first derivative of 0*r - 1/5*r**h - 1/10*r**4 - 4/15*r**3 + 1. Factor s(z).
-2*z*(z + 1)**2/5
Let j(b) = 2*b**2 - 3*b + 2. Let s be j(5). Let c = s + -71/2. Factor 1/2*u**4 + 3/2*u**3 + 1/2*u + c*u**2 + 0.
u*(u + 1)**3/2
Let x(q) be the second derivative of -q**6/40 + 3*q**5/5 - 6*q**4 + 32*q**3 - 2*q**2 - 4*q. Let o(f) be the first derivative of x(f). Factor o(j).
-3*(j - 4)**3
Let r(u) = 4*u**2 + 2*u - 4. Let o be r(-3). Solve -6*g + 321 - 257 - o*g + 4*g**2 = 0 for g.
4
Let t be (-2 + -5 - -7)/(1 - 2). Factor -2/5*v**3 + t + 0*v - 4/5*v**4 + 0*v**2 - 2/5*v**5.
-2*v**3*(v + 1)**2/5
Let x(y) be the second derivative of y**5/5 - 14*y**4/3 + 88*y**3/3 - 80*y**2 + 17*y. Factor x(m).
4*(m - 10)*(m - 2)**2
Suppose 1/5*r**2 - 6/5 + 1/5*r = 0. What is r?
-3, 2
Let -3/2 - 3/8*a**4 + 9/2*a - 39/8*a**2 + 9/4*a**3 = 0. What is a?
1, 2
Let i(n) be the first derivative of n**4/2 + 20*n**3/3 + 17*n**2 + 16*n - 2. Find a such that i(a) = 0.
-8, -1
Let q(d) be the third derivative of d**5/20 - d**4/4 - 2*d**2. Let q(u) = 0. Calculate u.
0, 2
Let w(p) be the second derivative of -p**6/105 + p**4/14 - 2*p**3/21 + p. Factor w(o).
-2*o*(o - 1)**2*(o + 2)/7
Let d = -41 + 44. Determine r so that 18*r + 4 + 7/2*r**d + 15*r**2 = 0.
-2, -2/7
Let g(s) be the first derivative of s**4/24 + s**3/4 + s**2/2 - 5*s - 5. Let y(t) be the first derivative of g(t). What is c in y(c) = 0?
-2, -1
Let y(p) be the first derivative of p**6/540 - p**5/270 + p**2 - 1. Let u(l) be the second derivative of y(l). Determine a, given that u(a) = 0.
0, 1
Let b(f) be the second derivative of f**7/240 - f**6/144 - f**5/15 - f**4/12 - f**3/6 + f. Let g(p) be the second derivative of b(p). Factor g(s).
(s - 2)*(s + 1)*(7*s + 2)/2
Let f(y) = 15*y**2 - 48*y - 49. Let c(p) = -7*p**2 + 24*p + 25. Let t(n) = 7*c(n) + 3*f(n). Solve t(w) = 0.
-1, 7
Let s(o) be the third derivative of o**7/1260 - o**6/216 + o**5/90 + 7*o**4/24 - 7*o**2. Let g(a) be the second derivative of s(a). Factor g(x).
2*(x - 1)*(3*x - 2)/3
Let y(u) = u**2 - 4*u + 2. Let f be y(4). Let w(p) be the second derivative of -p + 0*p**f + 0 + 0*p**3 - 1/48*p**4. Factor w(o).
-o**2/4
Factor -3*k**4 - 2*k**2 + 5*k**4 - 2*k + k**3 + 0*k**4 + k**3.
2*k*(k - 1)*(k + 1)**2
Factor -4/11*i**2 + 6/11*i**3 + 0 - 2/11*i**4 + 0*i.
-2*i**2*(i - 2)*(i - 1)/11
Let v = -2153/35 + 432/7. Find i, given that -2/5 + v*i**2 + 1/5*i = 0.
-2, 1
Let w be (16/6)/(6/9). Suppose -5*g = 2*a + 4, -5*a - 4*g + 3 = -w. Factor 4*x**3 - 3*x**3 + x**a - 2*x.
2*x*(x - 1)*(x + 1)
Let t(b) be the first derivative of -b**7/168 - b**6/120 + b**5/80 + b**4/48 + 2*b + 3. Let n(r) be the first derivative of t(r). Factor n(v).
-v**2*(v - 1)*(v + 1)**2/4
Let v(u) be the third derivative of -2*u**2 - 1/36*u**4 + 0*u**3 + 0 + 0*u + 1/180*u**5. Find h such that v(h) = 0.
0, 2
Let s(c) = c**2 + 14*c + 25. Let i(v) = -v**2 - 15*v - 25. Let r(b) = 4*i(b) + 5*s(b). Factor r(q).
(q + 5)**2
Let y be (-5 - (-10 - -2))*(-2)/(-3). Find b such that 2/3 - 2*b - 2/3*b**3 + 2*b**y = 0.
1
Let v(k) = 21*k**2 - 3*k - 6. Let w(n) = 3*n + 0 + 0 + 3. Let l(t) = t + 1. Let u(m) = -4*l(m) + w(m). Let f(g) = 4*u(g) - v(g). Factor f(z).
-(3*z + 1)*(7*z - 2)
Factor 0*l + 0 + 2/3*l**4 - 4/3*l**3 + 2/3*l**2.
2*l**2*(l - 1)**2/3
Let y = -69/2 - -487/14. Factor 0*k + 2/7*k**2 + 0 + y*k**3.
2*k**2*(k + 1)/7
Let a(