*k**3 + 0 + h*k + 4/5*k**2 - 2/5*k**5.
-2*k*(k - 1)*(k + 1)**3/5
Let u(y) be the second derivative of y**7/294 - y**5/14 + 5*y**4/21 - 5*y**3/14 + 2*y**2/7 - 33*y. Find n such that u(n) = 0.
-4, 1
Suppose 4*z + 2*q = -z + 66, 5*z - 4*q - 48 = 0. Suppose -2*y + 0*y - 3*i = -14, 4*i - z = -y. Let -4*s**2 + 3/2*s**y + 0 - 2*s - 1/2*s**3 = 0. What is s?
-1, -2/3, 0, 2
Let y(p) be the second derivative of p**4/20 - 4*p**3/5 + 24*p**2/5 - 5*p. Suppose y(x) = 0. What is x?
4
Suppose 6*r = 9*r - 9. Factor 0*f**2 + f**2 + 0 + 4*f + r + 0.
(f + 1)*(f + 3)
Let m(y) = 5*y**4 + 30*y**3 + 16*y**2 - 26*y - 21. Let o(s) = 10*s**4 + 60*s**3 + 31*s**2 - 51*s - 41. Let u(j) = -9*m(j) + 4*o(j). Suppose u(z) = 0. What is z?
-5, -1, 1
Let u(z) be the second derivative of z**4/36 + z**3/9 + 5*z. Determine o so that u(o) = 0.
-2, 0
Let d(m) be the second derivative of 2/3*m**3 + 0 + 0*m**2 + m - 5/6*m**4. Let d(q) = 0. Calculate q.
0, 2/5
Let b = 151/2 - 75. What is y in -3/2*y**5 - 1/2*y**2 + b*y**4 + 0 - y + 5/2*y**3 = 0?
-1, -2/3, 0, 1
Suppose 2*r = 4*t + 8, -r + 0 + 1 = t. Suppose 5*h + 4*b = 2*b + 12, 0 = 4*h + 4*b - 12. Factor -2*o - 1 + o**r + 0*o**2 - 2*o**h.
-(o + 1)**2
Let y be 36/8 + (-1)/2. Factor -4*h**y + 2*h**4 + 11*h**3 + 24*h - 8 + h**3 - 26*h**2.
-2*(h - 2)**2*(h - 1)**2
Solve -243/4*j - 3/4*j**5 + 81/2*j**2 - 9/4*j**4 - 729/4 + 27/2*j**3 = 0 for j.
-3, 3
Let w(m) = 7*m**2 - 23*m + 7. Let i(v) = -1. Let y(z) = -i(z) - w(z). Find k such that y(k) = 0.
2/7, 3
Let t be (2/(-2))/(2/(-26)). Factor -z**5 + t*z - z**5 + 2*z**4 - 13*z.
-2*z**4*(z - 1)
Let t(l) = -l**3 + l**2 + 1. Let k(x) = 10*x**3 - 7*x**2 - 5. Let z(p) = -2*k(p) - 10*t(p). Find f, given that z(f) = 0.
0, 2/5
Let -41*w - 11*w**3 + 40*w - 4*w**4 + 3*w**3 - 5*w**2 = 0. Calculate w.
-1, -1/2, 0
Let p(w) = -8*w**3 + 6*w**2 + 2*w + 6. Let a(q) = 15*q**3 - 11*q**2 - 4*q - 11. Let z(r) = 6*a(r) + 11*p(r). Determine f, given that z(f) = 0.
-1, 0, 1
Let b(r) be the first derivative of 0*r - 4/21*r**3 + 1/2*r**4 - 3 + 0*r**2 - 2/7*r**5. Determine x, given that b(x) = 0.
0, 2/5, 1
Let g(p) be the third derivative of p**5/540 - p**4/108 + 6*p**2. Suppose g(z) = 0. Calculate z.
0, 2
Let h(o) be the first derivative of o**5/25 + o + 2. Let m(v) be the first derivative of h(v). Find b such that m(b) = 0.
0
Suppose -5*w + 6 = 2*d, -3*w + 6*d = 8*d - 2. Factor -2*a**w - 6/5*a**3 + 0 + 2/5*a**5 - 4/5*a + 2/5*a**4.
2*a*(a - 2)*(a + 1)**3/5
Let n(m) be the third derivative of -1/9*m**3 + 0*m - 1/180*m**5 + 1/24*m**4 + 0 - 6*m**2. Factor n(f).
-(f - 2)*(f - 1)/3
Let c(a) = a - 3. Let r be c(6). Suppose r*k + 2*t + 12 = 5*k, -2*t - 18 = -4*k. Factor -m**5 - 3*m + k*m + 2*m**3 - m.
-m*(m - 1)**2*(m + 1)**2
Let g(w) be the third derivative of -w**10/105840 + w**8/23520 - 7*w**4/24 + 6*w**2. Let d(x) be the second derivative of g(x). Factor d(r).
-2*r**3*(r - 1)*(r + 1)/7
Let s = 15/2 + -6. Factor 0*t**3 + 3/4*t + s*t**2 - 3/2*t**4 - 3/4*t**5 + 0.
-3*t*(t - 1)*(t + 1)**3/4
Find i such that 6*i**2 - 16/5*i**3 + 0 - 8/5*i - 6/5*i**4 = 0.
-4, 0, 1/3, 1
Let q(i) be the first derivative of -1/3*i**6 + 0*i - 4 - 8/5*i**5 + 0*i**3 + 0*i**2 - 2*i**4. Find p such that q(p) = 0.
-2, 0
Factor -2/5*h**2 - 8/5*h - 6/5.
-2*(h + 1)*(h + 3)/5
Let n(w) be the third derivative of 245*w**8/16 - 287*w**7/5 - 651*w**6/8 - 211*w**5/10 + 31*w**4/2 + 12*w**3 - w**2. Find m, given that n(m) = 0.
-2/7, 1/5, 3
Let a(q) = -15*q + 24. Let o(u) = -u**2 + 44*u - 71. Let p(l) = 3*l**2 - 131*l + 212. Let b(f) = -7*o(f) - 2*p(f). Let n(k) = 8*a(k) - 3*b(k). Factor n(i).
-3*(i - 3)**2
Let t(v) = 4*v**3 - 45*v**2 + 19*v + 11. Let l(d) = d**3 - 15*d**2 + 6*d + 4. Let j(y) = -11*l(y) + 4*t(y). Let j(i) = 0. What is i?
0, 1, 2
Let b(t) = 7*t**2 - 9*t - 10. Let y(g) = 11*g**2 - 13*g - 16. Let r(d) = -8*b(d) + 5*y(d). Factor r(i).
-i*(i - 7)
Let z(i) be the first derivative of -2*i**5/35 - i**4/14 + 2*i**3/21 + i**2/7 - 4. Factor z(x).
-2*x*(x - 1)*(x + 1)**2/7
Let v = 2 + -11/6. Let s(t) be the second derivative of v*t**3 + 1/30*t**6 - 1/20*t**5 - 1/12*t**4 - 2*t + 0 + 0*t**2. Suppose s(l) = 0. What is l?
-1, 0, 1
Let c = -5 + 8. Factor 0*b - 2 - c*b - 2*b**2 - b.
-2*(b + 1)**2
Factor -4/7*h**5 + 0*h**2 + 0 + 0*h + 8/7*h**3 - 4/7*h**4.
-4*h**3*(h - 1)*(h + 2)/7
Let i be (2/(-6))/((-184)/36 - -5). Factor -2/5*y - 4/5*y**2 + 2/5 + 4/5*y**i + 2/5*y**4 - 2/5*y**5.
-2*(y - 1)**3*(y + 1)**2/5
Let o(z) = -4*z**5 - 12*z**4 + 30*z**3 + 46*z**2 - 90*z + 42. Let n(l) = l**3 + l**2 - l + 1. Let d(f) = 6*n(f) - o(f). What is v in d(v) = 0?
-3, 1
Let u(f) be the second derivative of 1/60*f**4 + 0*f**3 - 2*f - 1/10*f**2 + 0. What is q in u(q) = 0?
-1, 1
Let p(a) be the second derivative of -a - 1/30*a**6 + 0*a**5 + 1/4*a**4 + 1/3*a**3 + 0*a**2 + 0. Factor p(m).
-m*(m - 2)*(m + 1)**2
Let p(j) be the first derivative of j**4/4 - 7*j**3/3 + 5*j**2/2 + 6*j + 2. Let m be p(6). Factor m + o**2 + 1/2*o**3 + 1/2*o.
o*(o + 1)**2/2
Find q such that 0 + 8/5*q**2 + 0*q - 8/5*q**3 - 6/5*q**4 = 0.
-2, 0, 2/3
Suppose -3*c + 7 = -l - 6, 5*c - 19 = -l. Suppose 0 - 1/2*k**2 + 1/2*k**c - 1/2*k**3 + 1/2*k = 0. What is k?
-1, 0, 1
Suppose 5 = 3*o - 25. Let d = o - 7. Factor -1/3*v - 2/3 + 4/3*v**2 + v**d.
(v + 1)**2*(3*v - 2)/3
Let k(b) = 7*b**3 - b**2 + b - 1. Let l be k(1). Suppose 4*f = -3*a, -l*a + 4*a = 5*f - 7. Factor -2/7*n + 2/7*n**f + 0 + 2/7*n**4 - 2/7*n**2.
2*n*(n - 1)*(n + 1)**2/7
Let l be (-2)/(-5 + 1)*4 - -1. Let j(n) be the first derivative of 1/9*n**2 + 0*n + 1/6*n**4 + 2/9*n**3 - l + 2/45*n**5. Let j(t) = 0. What is t?
-1, 0
Let p = 7 + -7. Let g(r) be the second derivative of p*r**2 + 2*r + 0 + 1/15*r**3 - 1/30*r**4. Solve g(a) = 0.
0, 1
Let t(q) = -3*q**5 + 5*q**4 - q**3 + q**2 + 5. Let i(k) = k**5 - k**4 - k**3 - k**2 - 1. Let c(l) = -5*i(l) - t(l). Suppose c(b) = 0. What is b?
-1, 0, 2
Let h = 68 + -66. Let x(c) be the first derivative of -1/3*c**6 + 0*c**h + 2/5*c**5 + 1/2*c**4 + 0*c - 2 - 2/3*c**3. Solve x(b) = 0.
-1, 0, 1
Suppose -h + 0*h = 75. Let q be 3 + 0 + h/27. Factor -4/9*g + q*g**2 + 2/9.
2*(g - 1)**2/9
Let s(x) be the third derivative of 5/168*x**4 - 1/21*x**3 + 0 + 5*x**2 + 1/60*x**5 + 0*x. Factor s(v).
(v + 1)*(7*v - 2)/7
Suppose 4 = -2*u + 2. Let o be (u - -2) + (-5)/15. Determine k, given that -2/3*k**2 + 2/3*k - o*k**3 + 2/3 = 0.
-1, 1
Factor 1/2*w**4 + 0*w + 1/2*w**3 + 0 - w**2.
w**2*(w - 1)*(w + 2)/2
Let f(c) = -c + 4. Let h be f(0). Let q = -1 + h. Factor -10/7*y**4 + 4/7*y**5 - 2/7*y + 6/7*y**q + 2/7*y**2 + 0.
2*y*(y - 1)**3*(2*y + 1)/7
Let b(z) be the second derivative of z + 1/12*z**4 + 0*z**3 + 0 - 1/40*z**5 + 0*z**2. Factor b(p).
-p**2*(p - 2)/2
Let x(t) be the third derivative of t**9/80640 - t**8/40320 - t**7/20160 + t**5/60 + 4*t**2. Let v(a) be the third derivative of x(a). Let v(p) = 0. What is p?
-1/3, 0, 1
Let f(k) be the second derivative of 3/20*k**5 + 0*k**3 + 0*k**4 + 0 + 9*k + 0*k**2. Let f(c) = 0. Calculate c.
0
Suppose 2*s - 1 - 3 = 0. Factor -f**2 - 4*f**2 + 3*f**2 - 1 + 3*f**s.
(f - 1)*(f + 1)
Let l be 8/(-6)*9/(-6). Let p(o) = 4*o - 15. Let u be p(6). Factor -3*m**4 - 3 - 6*m**3 + u*m**5 + m - 6*m**5 + 2*m + 6*m**l.
3*(m - 1)**3*(m + 1)**2
Let i(d) be the second derivative of -1/25*d**5 + 1/30*d**4 + 0 + 0*d**2 + 2*d + 0*d**3 + 1/75*d**6. Solve i(z) = 0.
0, 1
Let l(j) = j**3 - 6*j**2 - j - 4. Let n be l(6). Let c be ((-6)/n)/(12/56). What is h in -14/5*h**3 + 2*h**4 - 6/5*h**2 + c*h - 4/5 = 0?
-1, 2/5, 1
Let f = -11 - -11. Let b(l) be the first derivative of -2 + 0*l - 1/10*l**4 + f*l**3 + 1/5*l**2. What is m in b(m) = 0?
-1, 0, 1
Let p(x) be the first derivative of -x**6/90 + x**5/15 - x**4/6 + 2*x**3/9 - x**2/6 + x + 5. Let i(j) be the first derivative of p(j). Factor i(g).
-(g - 1)**4/3
Let b(l) be the second derivative of 1/30*l**5 + 1/18*l**4 + 3*l + 0 - 1/3*l**2 - 1/9*l**3. Factor b(t).
2*(t - 1)*(t + 1)**2/3
Let j(h) be the second derivative of -h**5/5 + 7*h**4/6 - 4*h**3/3 - 4*h**2 + h. Factor j(t).
-2*(t - 2)**2*(2*t + 1)
Factor 0*x - 20/3 - 5/3*x**3 + 5*x**2.
-5*(x - 2)**2*(x + 1)/3
Let d(v) be the third derivative of -v**5/90 - v**4/12 - 2*v**3/9 - 4*v**2. Factor d(w).
-2*(w + 1)*(w + 2)/3
Let i(q) = q**5 - q**4 + q**3. Let w(s) = 2*s**5 + 2*s**4 + s**3 - 4*s**2. Let z(n) = -i(n) + w(n). Suppose z(u) = 0. Calcu