x in 0*x**3 - 2 - h*x**2 - 7*x - 2*x**3 + x + 0*x**3 = 0?
-1
Let i(p) be the second derivative of p**4/30 - p**3/5 + 2*p**2/5 + 30*p. Factor i(a).
2*(a - 2)*(a - 1)/5
Let v be (-1)/2 + (-14)/(-4). Suppose -m + v*m - 4 = 0. Factor 2*h**2 - h + 5*h**2 - m*h**4 + 22*h**4 - 8*h**5 - 18*h**3.
-h*(h - 1)*(2*h - 1)**3
Let q(p) = p**3 + 9*p**2 - 10*p + 3. Let i be q(-10). Let x(c) = c**3 - 2*c + 1. Let m be x(2). Find y such that 3*y**4 - y**i - y + y - 2*y**m = 0.
0, 1/2, 1
Factor -45/2*s**2 - 25/2*s**3 - 35/2*s - 5/2*s**4 - 5.
-5*(s + 1)**3*(s + 2)/2
Let g(y) be the first derivative of 0*y**2 - 1/30*y**5 + 3 + 0*y**4 + 1/18*y**3 + 0*y. Factor g(z).
-z**2*(z - 1)*(z + 1)/6
Let t(q) be the second derivative of q**7/231 + 4*q**6/165 + 3*q**5/110 + 12*q. Factor t(g).
2*g**3*(g + 1)*(g + 3)/11
Let c(d) be the first derivative of 2*d**3/21 + 2*d**2/7 - 1. Factor c(z).
2*z*(z + 2)/7
Let b(z) be the second derivative of z**4/6 + 2*z**3 + 9*z**2 + 20*z. Factor b(p).
2*(p + 3)**2
Let v = -1 + 11. Suppose 5*l - 20 = v. Suppose -t - 2*t**4 - 2*t - l*t**3 - 6*t**2 + t = 0. Calculate t.
-1, 0
Factor -5*m**2 - 15*m**4 + 3*m**5 - 200*m**3 + 215*m**3 + 2*m**5.
5*m**2*(m - 1)**3
Let s = 7 + 5. Suppose q + q = s. Factor -q*j**2 + 2 - 4 + 0 - 2 + 14*j.
-2*(j - 2)*(3*j - 1)
Let x be ((-30)/27)/(-5) + 100/36. Let f(k) be the third derivative of -1/48*k**4 + 0*k + 0 - x*k**2 + 1/240*k**5 + 1/24*k**3. Factor f(a).
(a - 1)**2/4
Factor -60 + 20*t**4 - 4*t**2 - 20*t**3 - 11*t**2 + 20*t + 55.
5*(t - 1)*(t + 1)*(2*t - 1)**2
Let l = 149/60 + -12/5. Let m(a) be the first derivative of -1 + 0*a + 2/9*a**3 + 1/6*a**2 + l*a**4. Solve m(z) = 0 for z.
-1, 0
Factor -19*g + 19*g - 9*g**4 - 6*g**5 + 3*g**2.
-3*g**2*(g + 1)**2*(2*g - 1)
Let r(b) be the first derivative of -2 + 2*b - 1/6*b**4 + 2/3*b**3 - b**2. Let o(x) be the first derivative of r(x). What is m in o(m) = 0?
1
Let g(y) = -2*y**3 - y**2 + 1. Let k be g(-1). Determine l, given that 1/2*l**5 + 5/2*l**3 - 2*l**4 - l**k + 0 + 0*l = 0.
0, 1, 2
Let m(j) = -5*j**3 - 10*j**2 - 19*j - 8. Let x(w) = 11*w**3 + 20*w**2 + 39*w + 16. Let r(n) = -14*m(n) - 6*x(n). Factor r(f).
4*(f + 1)*(f + 2)**2
Suppose -3 = 14*a - 31. Factor 0 + 2/5*z**a + 6/5*z.
2*z*(z + 3)/5
Let i(g) be the third derivative of -1/18*g**4 + 0 + 0*g + 2*g**2 - 1/315*g**7 + 1/90*g**6 + 1/9*g**3 + 0*g**5. Factor i(c).
-2*(c - 1)**3*(c + 1)/3
Suppose -5*g + g - 45 = d, 0 = 5*g - 5*d + 25. Let y = g - -10. What is c in y - 1/2*c**2 + 1/2*c = 0?
0, 1
Let l(x) be the second derivative of -1/28*x**4 + 0 - 3*x - 2/21*x**3 + 1/2*x**2 - 1/210*x**5. Let c(z) be the first derivative of l(z). Factor c(w).
-2*(w + 1)*(w + 2)/7
Let j(c) be the first derivative of 0*c**3 + 2 - 1/60*c**5 + c**2 + 1/24*c**4 + 0*c. Let g(k) be the second derivative of j(k). Determine a so that g(a) = 0.
0, 1
Let t be (-82)/(-8) + 4/(-16). Let b = t + -6. Factor 0*o**b + 0*o**3 - o**3 + o**4.
o**3*(o - 1)
Let m(n) be the third derivative of -n**7/2520 - n**6/720 + n**4/8 - 3*n**2. Let o(c) be the second derivative of m(c). Factor o(p).
-p*(p + 1)
Let m(h) be the first derivative of -2*h**3/21 + 2*h**2/7 - 2*h/7 + 26. Find x such that m(x) = 0.
1
Let b(a) be the first derivative of -7*a**6/9 + 2*a**5/3 + a**4/3 - 11. Suppose b(u) = 0. What is u?
-2/7, 0, 1
Let z(w) be the first derivative of -4*w**3/21 + 10*w**2/7 - 24*w/7 + 4. Factor z(c).
-4*(c - 3)*(c - 2)/7
Let n(v) = -v - 1. Let p be n(-9). Factor -2*c + c**2 + 7 - p - 2*c**2.
-(c + 1)**2
Let v(t) = 470*t**2 - 86*t - 10. Let y(p) = p**2 + p - 1. Let c(j) = v(j) + 6*y(j). Suppose c(u) = 0. Calculate u.
-2/17, 2/7
Let n(a) be the first derivative of -a**5 - 15*a**4/4 - 5*a**3 - 5*a**2/2 - 10. Factor n(u).
-5*u*(u + 1)**3
Let i(g) be the second derivative of -g**6/120 + g**5/80 - 9*g. What is v in i(v) = 0?
0, 1
Let m = 1494 + -1491. Determine k so that 20/3*k**m - 12*k**2 + 0 - 28/3*k**5 + 8/3*k + 12*k**4 = 0.
-1, 0, 2/7, 1
Let m = -5504 - -30138/5. Let a = -522 + m. Solve -2/5*p**4 + 4/5*p**2 + 4/5*p - a*p**3 + 4/5*p**5 - 2/5 = 0.
-1, 1/2, 1
Let f(x) be the second derivative of 1/18*x**4 + 1/30*x**5 - 3*x - 1/9*x**3 + 0 - 1/3*x**2. Factor f(z).
2*(z - 1)*(z + 1)**2/3
Let h(j) be the second derivative of j**7/2100 - j**5/300 - 2*j**3/3 + j. Let t(r) be the second derivative of h(r). Suppose t(a) = 0. Calculate a.
-1, 0, 1
Let d(q) be the second derivative of -q**4/48 - q**3/6 - q**2/2 - 3*q. Factor d(t).
-(t + 2)**2/4
Let z(c) be the first derivative of c**4/6 + 2*c**3/3 - 8*c/3 - 11. Factor z(s).
2*(s - 1)*(s + 2)**2/3
Let n(h) be the third derivative of 0 + 0*h - 1/40*h**6 + 0*h**4 + 0*h**3 - 5*h**2 + 1/30*h**5. Determine m, given that n(m) = 0.
0, 2/3
Let d = 3 - 3. Factor 2*o**4 - 3*o - 5*o**3 + 7*o + o**3 - 2 + d*o**3.
2*(o - 1)**3*(o + 1)
Suppose 3*h = 4*n + h, 0 = -3*n + 5*h. Suppose y - 2 = -n*y. What is p in -1/2*p**4 + p**y - p**3 + 1/2*p + 1/2*p**5 - 1/2 = 0?
-1, 1
Suppose 4 + 8 = -2*z. Let a be z/(3/(-2)*1). Suppose 4 + 2*f**4 - f**a - 3*f**2 + 2*f**3 - 4*f + 0*f**3 = 0. What is f?
-2, 1
Let z = -64 + 109. Let d be -3*1*z/(-108). Find f, given that 1/4 - 3/4*f + f**4 - d*f**2 + 3/4*f**3 = 0.
-1, 1/4, 1
Factor 1/5*u**2 + 1/5*u + 0.
u*(u + 1)/5
Let y(l) be the second derivative of 1/20*l**5 + 1/18*l**3 + 0 - 2/63*l**7 + 5*l + 1/18*l**6 + 0*l**2 - 5/36*l**4. Solve y(j) = 0.
-1, 0, 1/4, 1
Suppose l = -4*t - 12, -3*l - 2*l - 4*t = -4. What is c in 2*c**4 + 2*c - 4*c**3 + 6*c**2 - 4*c**l - 2*c**4 - 2 + 2*c**3 = 0?
-1, 1/2, 1
Let u(t) = 5*t**4 + 7*t**3 - 48*t**2 - 11*t. Let m(s) = -s**4 - s**3 + 8*s**2 + 2*s. Let r(n) = -39*m(n) - 6*u(n). Factor r(j).
3*j*(j - 2)*(j + 1)*(3*j + 2)
Let t be -3*1 - (-4)/(28/21). Factor z + z**2 + t + 1/4*z**3.
z*(z + 2)**2/4
Let d(f) be the third derivative of -f**7/630 + f**6/180 + f**5/60 + 16*f**2. Factor d(x).
-x**2*(x - 3)*(x + 1)/3
Let d be 3 - 1 - 232/348. Determine b, given that 0 + d*b + 2/3*b**2 = 0.
-2, 0
Let f(n) be the third derivative of 1/480*n**6 - 1/1344*n**8 + 0*n**4 + 0 + 0*n + 0*n**3 + n**2 + 1/840*n**7 - 1/240*n**5. Factor f(h).
-h**2*(h - 1)**2*(h + 1)/4
Let x = -36 - -398/11. Factor -2/11*o**3 - x*o**2 + 2/11*o + 2/11*o**4 + 0.
2*o*(o - 1)**2*(o + 1)/11
Let b(i) be the second derivative of 0*i**5 - 1/10*i**6 - 3/2*i**2 + 0 + 0*i**3 + 1/2*i**4 - 2*i. Solve b(h) = 0 for h.
-1, 1
Let y(u) = -u**3 - 7*u**2 + 9*u + 11. Suppose s = -4*m - 16, -4*m = -4*s - 11 - 13. Let b be y(s). Factor -2*o**3 + 0*o + o**b - o**4 + 0*o + o**2 + o.
-o*(o - 1)*(o + 1)**2
Let p(g) be the second derivative of g**5/4 + 3*g**4/4 + g**3/2 - g**2/2 + 25*g. Factor p(k).
(k + 1)**2*(5*k - 1)
Let y(k) be the second derivative of -3/80*k**5 + 0*k**2 + 0*k**3 + k - 1/24*k**4 + 0. Factor y(b).
-b**2*(3*b + 2)/4
Let c(v) = -9*v**2 - 54*v + 3. Let p be c(-6). Suppose 8*a**2 - 6*a + 0 + 4/3*a**p - 8/3*a**4 - 2/3*a**5 = 0. Calculate a.
-3, 0, 1
Let b(n) be the first derivative of n**4/12 + n**3/6 - 2*n - 1. Let h(s) be the first derivative of b(s). Factor h(t).
t*(t + 1)
Let d(p) be the second derivative of 1/80*p**5 - 6*p + 0*p**2 + 0 + 1/24*p**3 + 1/24*p**4. Find s, given that d(s) = 0.
-1, 0
Let j(t) be the first derivative of t**6/36 + 2*t**5/15 + t**4/6 - t**3/9 - 5*t**2/12 - t/3 + 18. Let j(p) = 0. Calculate p.
-2, -1, 1
Let r be -1 - 3 - 64/(-14). Find y, given that 0 + 2/7*y**3 - r*y - 2/7*y**2 = 0.
-1, 0, 2
Let m(f) = -2*f**2 - 20*f + 72. Let q(u) = u**2 + 21*u - 72. Let w(o) = 3*m(o) + 4*q(o). Let w(c) = 0. What is c?
6
Let v(r) be the first derivative of r**5/30 + r**4/8 - r**3/3 - r**2/2 - 2. Let k(t) be the second derivative of v(t). Factor k(i).
(i + 2)*(2*i - 1)
Let i(b) be the first derivative of b**4/6 - 2*b**3/9 + 5. Factor i(w).
2*w**2*(w - 1)/3
Let z be (-24)/14*(-14)/4. Suppose 2*f - z = -5*g, -g + 11 = 3*f + 2. Factor 3*k + g*k**4 + 6*k**2 - 3*k**5 - 12*k**2 + 6*k**4.
-3*k*(k - 1)**3*(k + 1)
Let x = 11 + -17. Let m = 10 + x. Let g(z) = 6*z**2 + 6*z + 4. Let w(c) = c**2. Let t(p) = m*w(p) - g(p). Factor t(b).
-2*(b + 1)*(b + 2)
Factor 4/7*i**2 + 2/7*i - 2/7*i**3 - 4/7.
-2*(i - 2)*(i - 1)*(i + 1)/7
Determine a, given that 3/5*a**4 + 27/5 + 36/5*a - 6/5*a**2 - 12/5*a**3 = 0.
-1, 3
Let w(u) = u + 16. Let k be (-2)/6*1*33. Let d be w(k). Factor -d*f + f - 3*f**2 + f + 0*f.
-3*f*(f + 1)
Let a(l) be the second der