pose -28 = -4*t - 4*d, 2*t + 4*d - b = 12. Factor 0*r + 2/3*r**t - 2/3.
2*(r - 1)*(r + 1)/3
Let q = 17 + -14. Let w(h) be the third derivative of -1/24*h**4 + 0 + 1/6*h**q - 1/60*h**5 + 1/120*h**6 + 0*h + 2*h**2. What is a in w(a) = 0?
-1, 1
Let b(q) = -11*q**3 - 10*q**2 + 21*q. Let p(n) = -100*n**3 - 90*n**2 + 190*n. Let m(i) = -55*b(i) + 6*p(i). Factor m(a).
5*a*(a - 1)*(a + 3)
Let b be (-4)/4 + -24*1. Let w = b + 25. Determine l, given that -2/7*l + w + 2/7*l**2 = 0.
0, 1
Find o such that 38/17*o + 6/17*o**4 + 2/17*o**3 - 12/17 - 2*o**2 = 0.
-3, 2/3, 1
Let s(w) be the first derivative of w**6/27 + 8*w**5/45 + w**4/3 + 8*w**3/27 + w**2/9 - 4. Solve s(z) = 0.
-1, 0
Let u(g) = g**2 - g. Let b(w) = -2*w**3 - 6*w**2. Let f = 0 - -1. Let l be f*3*(-3)/(-9). Let v(c) = l*b(c) + 2*u(c). Solve v(a) = 0.
-1, 0
Suppose 4*x + 0*x - 16 = 0. Suppose 0 = -x*p + 26 + 54. Factor 0*z**2 - 8*z - 20*z**3 + 2 + p*z**2 - 2*z**5 - 2*z + 10*z**4.
-2*(z - 1)**5
Let t(v) be the second derivative of 1/12*v**3 + 1/24*v**4 + 0 + v - 1/2*v**2. Factor t(i).
(i - 1)*(i + 2)/2
Suppose 0 = 3*z - 2*w - 12, 0 = z + 2*w + 4 - 0. Suppose -z*t = 1 - 5. Factor -4/3 - 25/3*m**t + 20/3*m.
-(5*m - 2)**2/3
Let q = -73/2 - -37. Factor 0*x**2 + 1/2*x + q*x**5 + 0*x**4 - x**3 + 0.
x*(x - 1)**2*(x + 1)**2/2
Let n(u) be the third derivative of u**7/420 - u**6/120 - u**5/120 + u**4/24 - 3*u**2 - 5. Suppose n(p) = 0. Calculate p.
-1, 0, 1, 2
Factor 5*k**2 - 6 + 61*k + 1 - 5*k**3 - 56*k.
-5*(k - 1)**2*(k + 1)
Suppose 2*g + 2*g = 5*m - 57, -3*m = -15. Let p(t) = t**2 + t. Let b(x) = -30*x**4 - 38*x**3 + 8*x**2 + 16*x. Let h(f) = g*p(f) + b(f). Solve h(o) = 0 for o.
-1, -2/3, 0, 2/5
Let j(f) be the third derivative of f**6/24 - f**5/6 - 5*f**4/8 - 16*f**2. Find r such that j(r) = 0.
-1, 0, 3
Let -m**2 + m**4 + 43*m**3 - 43*m**3 = 0. What is m?
-1, 0, 1
Let z be -3*3/(-18)*4. Let k(g) be the first derivative of -g**4 + 0*g**3 - 1 + 2*g + z*g**2 - 2/5*g**5. Determine o so that k(o) = 0.
-1, 1
Suppose 45*y = 47*y. Let 1/3*k**3 - 1/3*k**2 + y*k + 0 = 0. Calculate k.
0, 1
Let s be -1*6/3*-1. Factor -6*l - 2*l**s + 0*l**2 + 3*l**3 + 5*l**2 + l**4 + 7*l.
l*(l + 1)**3
Suppose -4*y + 5 = 2*c - c, y - 15 = -3*c. Factor y - 4/3*j**3 - 8/9*j**4 - 8/9*j**2 - 2/9*j**5 - 2/9*j.
-2*j*(j + 1)**4/9
Let t = 45 + -42. Let n(x) be the second derivative of 1/9*x**2 + 0 - 2*x + 0*x**t - 1/54*x**4. Let n(m) = 0. Calculate m.
-1, 1
Suppose 0 = 3*f + 2*g - 19, 40*g = -5*f + 35*g + 40. Factor r**2 - 4/3*r + 2/3*r**f - 1/3*r**4 - 4/3.
-(r - 2)**2*(r + 1)**2/3
Solve 5*z**2 + 4*z**2 + 3*z - 2*z**2 - 6*z**2 = 0 for z.
-3, 0
Let t(z) = -z**2 + 24*z + 25. Let y be t(25). Let k(q) be the first derivative of 1/6*q**4 - 2/15*q**5 + y*q + 1 - 1/3*q**2 + 2/9*q**3. Solve k(r) = 0 for r.
-1, 0, 1
Let q(v) be the second derivative of -v**5/10 - v**4/3 - v**3/3 + 6*v. Factor q(p).
-2*p*(p + 1)**2
Let h be (5/(-12) + (-14)/(-21))*1. Find c such that -h*c**4 + 0 + 0*c**3 + 1/4*c**2 + 0*c = 0.
-1, 0, 1
Let x be (95/10 - 6) + -3. Factor x*o**3 - 1/4*o**2 + 0 + 0*o - 1/4*o**4.
-o**2*(o - 1)**2/4
Let m be -3 - ((-37)/12 - (-7)/(-28)). Factor -2/3*w**3 - 1/3*w**4 + m*w + 2/3*w**2 - 1/3 + 1/3*w**5.
(w - 1)**3*(w + 1)**2/3
Determine v, given that 8/13 - 2/13*v**2 - 6/13*v = 0.
-4, 1
Let f = -2 - -4. Factor -f*u**3 + 2*u**4 - 146*u**2 + 146*u**2.
2*u**3*(u - 1)
Suppose -4*m + 6*m = 16. Let x(p) be the third derivative of 0*p**6 + 0*p**5 + 0*p**4 + p**2 + 0*p - 1/1008*p**m + 1/630*p**7 + 0 + 0*p**3. Factor x(l).
-l**4*(l - 1)/3
Let r(w) = -3*w**4 + 50*w**3 - 83*w**2 + 63*w - 13. Let x(n) = -2*n**4 + 25*n**3 - 42*n**2 + 32*n - 7. Let c(s) = 3*r(s) - 7*x(s). Factor c(m).
5*(m - 2)*(m - 1)**3
Let l = 58/3 + -394/21. Factor -10/7*j**3 - 6/7*j**2 + 0 + l*j.
-2*j*(j + 1)*(5*j - 2)/7
Let n be (-5)/(-2) - (-1)/2. Factor 15 + 2*v**n - 15.
2*v**3
Suppose 18*a - 23 = 17*a. Let u = a + -45/2. Factor 1/4*n**2 + u*n + 0.
n*(n + 2)/4
Let b(f) be the second derivative of -f**4/12 + f**3/2 + 5*f. Let m be b(3). Find l such that -4/7*l - 6/7*l**2 + 0 + m*l**3 + 2/7*l**4 = 0.
-1, 0, 2
Factor -18*b**3 + 2*b**4 - 10*b**4 + 6*b**2 + 2*b + 18*b**4.
2*b*(b - 1)**2*(5*b + 1)
Let s be 8/36 + 8/(-36). Factor 0*d + 0 - 2/7*d**3 + s*d**2 + 2/7*d**4.
2*d**3*(d - 1)/7
Let j(c) = 17*c**3 + 37*c**2 + 23*c + 10. Let r(i) = -9*i**3 - 19*i**2 - 11*i - 5. Let d(h) = -4*j(h) - 7*r(h). What is v in d(v) = 0?
-1
Let i(t) be the second derivative of t**5/10 + t**4/10 - 2*t**3/15 - 20*t. Factor i(s).
2*s*(s + 1)*(5*s - 2)/5
Let p(h) be the third derivative of h**6/60 - h**5/10 - 8*h**2. Factor p(j).
2*j**2*(j - 3)
Let -3*i - 1/2*i**2 - 9/2 = 0. What is i?
-3
Let y(c) be the second derivative of 1/3*c**3 + 1/900*c**6 + 0*c**5 + 0 - c + 0*c**4 + 0*c**2. Let k(t) be the second derivative of y(t). What is m in k(m) = 0?
0
Suppose 4 = -0*d + 2*d. Let z(m) = -m**2 + 2*m. Let k be z(d). Factor -1/3*n + 1/3*n**3 + 1/3*n**4 - 1/3*n**2 + k.
n*(n - 1)*(n + 1)**2/3
Suppose 5*g - 12 = 2*g. Let p be 2/g - 1/10. Factor 0 + 0*c**2 - p*c**3 + 2/5*c.
-2*c*(c - 1)*(c + 1)/5
Let f be (2/3)/(4/30). Let r(t) = 7*t**2 - 8*t + 3. Let s(d) = -8*d**2 + 8*d - 2. Let o be (2 + 10/(-4))*-12. Let g(c) = f*s(c) + o*r(c). Factor g(a).
2*(a - 2)**2
Let h(s) be the first derivative of -4/9*s**3 + 1/6*s**4 - 2 + 1/3*s**2 + 0*s. Factor h(f).
2*f*(f - 1)**2/3
Let b(k) = 15*k**5 + 33*k**4 - 15*k**3 - 33*k. Let w(f) = f**5 + 2*f**4 - f**3 - 2*f. Let v(o) = 2*b(o) - 33*w(o). Solve v(n) = 0.
-1, 0, 1
Factor -3*b**4 + 13*b**3 - b**4 - 5*b**2 - b**4 - 3*b**3.
-5*b**2*(b - 1)**2
Suppose 6*r - 7*r - 55 = 4*n, -r = n + 10. Let u = n - -15. Factor 4/3*l - 2/3*l**2 + u.
-2*l*(l - 2)/3
Factor 2 - 1/2*y**2 - 3/2*y.
-(y - 1)*(y + 4)/2
Suppose -5*b = -d + 5, -5*d + 4*b = 2 - 6. Let -1/2*i - 1/2*i**3 - i**2 + d = 0. What is i?
-1, 0
Let z(k) be the second derivative of 1/5*k**2 + 1/30*k**4 + 0 - 3*k + 2/15*k**3. Factor z(j).
2*(j + 1)**2/5
Determine r so that 0 - 2/3*r**2 - 2/3*r**3 + 4/3*r = 0.
-2, 0, 1
Let m(w) be the first derivative of w**2 + 1/3*w**3 - 3 + 0*w. Factor m(z).
z*(z + 2)
Let d(q) = -q + 1. Let b(m) = -12*m**5 + 63*m**4 - 123*m**3 + 111*m**2 - 60*m + 21. Let p(z) = -b(z) + 15*d(z). Solve p(f) = 0 for f.
1/4, 1, 2
Let -n**2 + 2*n**2 + n + 5*n - 3*n = 0. Calculate n.
-3, 0
Let a(m) be the second derivative of 0*m**4 - 1/14*m**7 + 2*m - 3/20*m**5 + 0*m**3 + 1/5*m**6 + 0*m**2 + 0. Factor a(r).
-3*r**3*(r - 1)**2
Let u(t) be the first derivative of t**6/30 - 2*t**5/25 + 2*t**3/15 - t**2/10 - 4. Determine l, given that u(l) = 0.
-1, 0, 1
Let n(a) be the first derivative of -2*a**5/85 - 3*a**4/34 - 2*a**3/17 - a**2/17 + 22. Factor n(t).
-2*t*(t + 1)**3/17
Let x = 529/1605 + 2/535. Determine t so that 0*t**2 + 0 + 1/3*t**3 - x*t**5 + 0*t + 0*t**4 = 0.
-1, 0, 1
Let a(u) be the first derivative of 2*u**3/27 - 2*u**2/9 + 2*u/9 - 11. Suppose a(j) = 0. What is j?
1
Let p(z) = -z**2. Let i(g) = -2*g**2 - 2*g. Let k(x) = -3*i(x) - 21*p(x). What is t in k(t) = 0?
-2/9, 0
Let r(j) = j**2 - 3*j - 8. Let k be r(6). Suppose -11*y = -6*y - k. Factor -4/3*s + 0 + 8/3*s**3 + 2/3*s**y - 2*s**4.
-2*s*(s - 1)**2*(3*s + 2)/3
Let f(q) be the third derivative of -q**7/42 + q**5/4 + 5*q**4/12 + 13*q**2. Determine o so that f(o) = 0.
-1, 0, 2
Suppose 0 = -5*j + 6 + 9. Factor -5 - s**j + 0 + 3*s**4 - 1 - 2*s**3 + 15*s - 9*s**2.
3*(s - 1)**3*(s + 2)
Suppose 3*r = -2*r + 5*c - 65, 12 = 3*c. Let s be (-3)/r*(4 + -4). Factor 0*n + 1/4*n**4 - 1/4*n**2 + 0 + s*n**3.
n**2*(n - 1)*(n + 1)/4
Let j(i) be the first derivative of -i**6/24 + 3*i**5/20 - i**4/8 - i**3/6 + 3*i**2/8 - i/4 + 1. Suppose j(k) = 0. Calculate k.
-1, 1
Let p(l) be the third derivative of l**7/42 - l**6/12 + l**5/12 + 7*l**2. Factor p(t).
5*t**2*(t - 1)**2
Determine m so that -30*m**2 + 18*m + 11 + 16 + 33*m**2 = 0.
-3
Let b(t) be the third derivative of -t**10/12600 - t**9/30240 + t**8/5040 + t**5/20 - 4*t**2. Let a(c) be the third derivative of b(c). Solve a(s) = 0 for s.
-2/3, 0, 1/2
Suppose -1/4*w + 0 + 1/4*w**2 = 0. Calculate w.
0, 1
Let u(r) = -4*r**4 + 2*r**2 - 4. Let m(t) = 5*t**4 - 2*t**2 + 5. Let n(b) = 3*m(b) + 4*u(b). Find p such that n(p) = 0.
-1, 1
Factor -8/5 + 24/5*f - 18/5*f**2.
-2*(3*f - 2)**2/5
Factor 2/3 + 2/3*b**4 - 4/3*b**2 - 4/3*b**3 + 2/3*b**5 + 2/3*b.
2*(b - 1)**