 + y. Solve -t*o - 2/7*o**2 - 2/7 = 0 for o.
-1
Let v(j) be the second derivative of j + 1/12*j**4 + 1/40*j**5 + 0*j**2 + 1/3*j**3 + 1/360*j**6 + 0. Let x(t) be the second derivative of v(t). Factor x(p).
(p + 1)*(p + 2)
Let r(h) = -14*h**2 + 4*h + 4. Suppose -4*l + 26 = 2*m, -3*l + 7*l - 5*m = 19. Let q(g) = 13*g**2 - 5*g - 3. Let p(j) = l*q(j) + 5*r(j). Solve p(w) = 0 for w.
1/4, 1
Let z(j) = 3*j**4 - 13*j**3 - 17*j**2 - 8*j + 3. Let c(h) = 2*h**4 - 12*h**3 - 16*h**2 - 8*h + 2. Let k(x) = -5*c(x) + 4*z(x). Find w, given that k(w) = 0.
-1
Let g(a) = 4*a**2 - a + 1. Let i be g(1). Let s(n) = 17*n**3 - n**2 - n + 1. Let c be s(1). Find z such that 7*z + 7*z + 5*z**3 - c*z**2 - i + z**3 = 0.
2/3, 1
What is d in -1/6*d - 1/6*d**2 + 0 = 0?
-1, 0
Suppose 5*s - 3*s - 12 = 0. Let f(h) be the first derivative of 2/7*h**5 + 2/7*h - 2 + 1/21*h**s + 5/7*h**4 + 20/21*h**3 + 5/7*h**2. Factor f(j).
2*(j + 1)**5/7
Suppose -x + 6 = -2. Let m = x - 6. Factor 3*g + g**2 + 2 - g - m*g**2 - 3*g.
-(g - 1)*(g + 2)
Suppose 3*d + d - 12 = 0. Factor -h**3 + d*h**5 - 3*h**4 + 2*h**5 - 7*h**5.
-h**3*(h + 1)*(2*h + 1)
Let r be (-4)/12*((-16)/10 + 1). Factor r*y**2 - 1/5 - 1/5*y + 1/5*y**3.
(y - 1)*(y + 1)**2/5
Let h(n) = -n**2 + 21*n + 16. Let j(f) = 20*f + 16. Let u(z) = 4*h(z) - 5*j(z). Find a, given that u(a) = 0.
-2
Let m(f) be the third derivative of f**6/300 - f**5/50 + f**4/20 - f**3/15 - 2*f**2. Factor m(t).
2*(t - 1)**3/5
Let g be (-33)/(-18) + (-3)/2. Find x such that x + 1/3 + g*x**3 + x**2 = 0.
-1
Let z be (-2)/6*0 + 0/16. Suppose 3/4*g**3 - 3/4*g + 0 + z*g**2 = 0. Calculate g.
-1, 0, 1
Let p be -17 + 15 + 15/3. Determine o, given that -4/7 - 2/7*o + 10/7*o**2 + 2/7*o**p - 6/7*o**4 = 0.
-1, -2/3, 1
Let a(l) = l**2 + 2. Let h be a(5). Suppose -5*o = t - h, -5*o + 2*o + 23 = 4*t. Factor -1/2 + s**3 - s + 1/2*s**t.
(s - 1)*(s + 1)*(2*s + 1)/2
Let 0*j - 5/3*j**3 + 1/3*j**5 + 0 - j**2 - 1/3*j**4 = 0. Calculate j.
-1, 0, 3
Let x be (-6)/(-4) + (-5)/((-20)/(-6)). Factor 0*j**4 + x*j**2 + 0 + 0*j + 2/7*j**3 - 2/7*j**5.
-2*j**3*(j - 1)*(j + 1)/7
Let o(x) be the first derivative of x**7/210 - x**6/120 - x**5/120 + x**3 + 2. Let r(z) be the third derivative of o(z). Determine n, given that r(n) = 0.
-1/4, 0, 1
Let o(p) be the second derivative of p**7/525 + p**6/150 + p**5/150 - 2*p**2 + 11*p. Let y(l) be the first derivative of o(l). What is g in y(g) = 0?
-1, 0
Let h(o) be the second derivative of o**9/15120 - o**8/4200 - 5*o**3/6 - 5*o. Let a(s) be the second derivative of h(s). Factor a(m).
m**4*(m - 2)/5
Find a, given that -10/13*a**2 + 0 - 2/13*a**5 + 6/13*a**3 + 2/13*a**4 + 4/13*a = 0.
-2, 0, 1
Let p(i) be the second derivative of -i**6/1260 + i**5/420 + i**3/2 + 4*i. Let n(l) be the second derivative of p(l). Factor n(z).
-2*z*(z - 1)/7
Suppose 2*q + 2 = 3*s + 8, -5*q - s = -32. Let 7*a**3 + q - 2*a**2 - 4 - 2 = 0. Calculate a.
0, 2/7
Let j(s) = 6*s**5 - 5*s**4 - 6*s**3 + 5*s**2 - 5*s - 5. Let p(b) = b**5 - b**4 - b**3 + b**2 - b - 1. Let f(z) = -3*j(z) + 15*p(z). Suppose f(i) = 0. What is i?
-1, 0, 1
Let q(a) be the second derivative of a**4/3 + 7*a**3/6 - a**2 - 23*a. Let q(c) = 0. Calculate c.
-2, 1/4
Let d(c) be the first derivative of c**3/9 + c**2/6 + 10. Factor d(b).
b*(b + 1)/3
Suppose -4*j - 4*x - 4 = 0, -4*j - j + x + 1 = 0. Factor 1/4*c**5 - 1/2*c**3 + 0*c**4 + j*c**2 + 1/4*c + 0.
c*(c - 1)**2*(c + 1)**2/4
Let -5*s - 3*s**4 - 3*s**4 + 3*s**3 - 2 + 8*s**2 + s**3 + s = 0. What is s?
-1, -1/3, 1
Factor -2*q**2 - 14/9*q - 2/9*q**4 - 4/9 - 10/9*q**3.
-2*(q + 1)**3*(q + 2)/9
Factor -21 + 2 + 5*d**3 - 1 - 10*d**2 - 35*d.
5*(d - 4)*(d + 1)**2
Find v such that -40*v**3 + 4*v**5 + 40*v**3 = 0.
0
Suppose -v + 2*y = -10, 2*v + 4 = -2*y - 0. Let j = 5 - v. Find s such that -1/3*s**j + 0 + 0*s - 1/3*s**2 = 0.
-1, 0
Let q(y) be the first derivative of -y**4/24 + y**3/18 + y**2/12 - y/6 - 1. Factor q(f).
-(f - 1)**2*(f + 1)/6
Factor 6*r**2 + 2*r**4 - 3*r**3 - 2*r**2 - 2*r**2 - r**3.
2*r**2*(r - 1)**2
Let z = -199 - -392. Let d = z - 371/2. Solve 3/2*c**4 - 3 + 3/2*c**3 - 9/2*c**2 - d*c = 0 for c.
-1, 2
Let s = 1 + 3. Let t(b) = -12*b**4 - 22*b**3 - 34*b**2 - 10*b - 6. Let p(i) = 13*i**4 + 21*i**3 + 35*i**2 + 9*i + 7. Let l(y) = s*p(y) + 5*t(y). Factor l(q).
-2*(q + 1)**3*(4*q + 1)
Let u(y) be the third derivative of -y**6/30 - y**5/15 + y**4/6 + 2*y**3/3 - 15*y**2. What is m in u(m) = 0?
-1, 1
Find t such that -26/3*t**2 - 40/3*t**3 - 4/3*t + 0 = 0.
-2/5, -1/4, 0
Let m(b) = -b**3 + 3*b**2 + 5*b - 3. Let d be m(4). Let v(t) = 1. Let x(c) = -c**3 - c**2 + 5. Let o(p) = d*x(p) - 5*v(p). Factor o(l).
-l**2*(l + 1)
Suppose 16/13*d**2 + 4/13 + 14/13*d + 4/13*d**3 - 4/13*d**4 - 2/13*d**5 = 0. What is d?
-1, 2
Let a = 2432/35 + -346/5. Find u, given that -2/7*u**2 + 4/7*u - a = 0.
1
Let q be 9/(-6)*2/(-36). Let p(x) be the first derivative of 0*x - 2 + 2/9*x**3 + q*x**4 + 0*x**2. Suppose p(a) = 0. Calculate a.
-2, 0
Find v, given that 1/5 - 3/10*v + 1/10*v**3 + 0*v**2 = 0.
-2, 1
Let x = -1297 - -1297. Let -4/3*g**3 + x + 4/3*g + 2/3*g**2 - 2/3*g**4 = 0. What is g?
-2, -1, 0, 1
Let v(k) be the first derivative of k**6/180 + k**5/45 - k**4/36 - 2*k**3/9 + 5*k**2 + 1. Let s(q) be the second derivative of v(q). Factor s(c).
2*(c - 1)*(c + 1)*(c + 2)/3
Let z(f) = f + 5. Let i be z(-3). Suppose i = -x + 4. Suppose -2*t**3 - t - t**5 + 2*t**5 + x*t = 0. Calculate t.
-1, 0, 1
Suppose 3*q - 8 = -q. Factor 4*c**q + 4 - 6 + 0 - c - c.
2*(c - 1)*(2*c + 1)
Let w = 4/13 - -1/39. Let o(k) be the first derivative of w*k - 2 - 1/12*k**4 + 1/3*k**3 - 1/2*k**2. Factor o(q).
-(q - 1)**3/3
Suppose -5*d + 6 + 4 = 0. Let u(m) be the first derivative of -1/5*m**d + 2 - 2/15*m**3 + 0*m + 2/25*m**5 + 1/10*m**4. Factor u(r).
2*r*(r - 1)*(r + 1)**2/5
Let x be -4 + -6*(1 - 2). Let q(s) be the third derivative of -1/735*s**7 - 1/210*s**5 + 0*s**3 + 0*s**4 - 3*s**x - 1/210*s**6 + 0*s + 0. Factor q(u).
-2*u**2*(u + 1)**2/7
Let x(n) be the first derivative of n**3/12 - n**2/4 - 1. Factor x(m).
m*(m - 2)/4
Suppose -3*p + 2 = -10. Suppose p*c + 2 = 22. Let 0 - 8/5*o**2 + 8/5*o**4 - 2/5*o**c - 6/5*o**3 + 8/5*o = 0. What is o?
-1, 0, 1, 2
Let n(u) be the first derivative of -1/12*u**4 + 0*u**3 + 0*u + 0*u**2 + 8. Factor n(f).
-f**3/3
Suppose 5*o - 270 = -0*o. Factor o*q**2 + 2*q**3 - 54 + 68*q - 14*q - 72*q**2.
2*(q - 3)**3
Let y be 5/2*(-1)/(-30). Let g(k) be the third derivative of -y*k**4 + 2/21*k**3 + 0 - k**2 + 0*k - 3/70*k**5. Suppose g(p) = 0. What is p?
-1, 2/9
Let t(r) be the second derivative of r**5/10 + r**4/3 - 4*r**3/3 - 8*r**2 + r - 4. Solve t(b) = 0.
-2, 2
Suppose t - 8 = -3*t. Suppose 0 = -t*i - 0*i + 4. Factor -i*n**4 - n + n**2 - 7*n**2 - n - 6*n**3.
-2*n*(n + 1)**3
Factor 0*a**3 + 0*a + 0*a**2 + 0 + 2/9*a**4 - 2/9*a**5.
-2*a**4*(a - 1)/9
Let z be (4 + -4)/(-2 + -1). Let a(t) be the third derivative of 0 + 1/40*t**4 - 1/100*t**5 + 4*t**2 + z*t + 0*t**3. Solve a(g) = 0.
0, 1
Let g be (-3)/5 + (-6)/(-10). Let -3/5*n**4 + 0*n**2 + g - 3/5*n**3 + 0*n = 0. What is n?
-1, 0
Let r(d) = d**2 - 9. Let m be r(4). Let v(j) = -j**3 + 6*j**2 + 8*j - 3. Let a be v(m). Factor -1/2*k**5 + k**3 + 1/2 + 1/2*k**a - k**2 - 1/2*k.
-(k - 1)**3*(k + 1)**2/2
Let m(t) = t - 6. Let i = 0 + 8. Let y be m(i). Determine b so that 0*b + 0 + 2/11*b**y = 0.
0
Let l(x) = -13*x**2 - 40*x + 53. Let n(g) = 7*g**2 + 20*g - 27. Let i(j) = 3*l(j) + 5*n(j). Let i(b) = 0. What is b?
-6, 1
Let l(r) be the second derivative of -r**7/210 + 7*r**5/100 + r**4/30 - 2*r**3/5 - 4*r**2/5 + 7*r. Solve l(o) = 0.
-2, -1, 2
Let n = 83 - 80. Let 0*x - 3/5*x**n + 0 + 3/5*x**2 = 0. Calculate x.
0, 1
Let u(q) be the first derivative of 0*q**4 + 1/150*q**5 + 0*q + 0*q**3 - q**2 - 2. Let f(o) be the second derivative of u(o). Solve f(b) = 0.
0
Let g be 52/6 + 8/24. Let k be 5/g*(-10)/(-25). Find x such that k*x**4 + 8/9*x**3 + 4/3*x**2 + 2/9 + 8/9*x = 0.
-1
Let t(k) = -k - 5. Suppose 5 = -c - 0. Let v be t(c). Find j, given that -2/3*j**2 + v + 0*j = 0.
0
Let q(f) be the third derivative of 0*f + 0*f**6 + 4*f**2 - 3/20*f**5 - 1/4*f**4 + 0 + 0*f**3 + 1/70*f**7. Factor q(u).
3*u*(u - 2)*(u + 1)**2
Factor 3/5 - 3/5*v**3 + 9/5*v**2 - 9/5*v.
-3*(v - 1)**3/5
Let u = 4 + -2. Let m(k) = -u - 3 + 3 + 3. Let a(s) = -2*s**2 - 12*s - 15. Let i(h) = a(h) - 3*