*4 + 1/6*u**5 - u**3 + 2/3*u**2 = 0.
-2, -1, 0, 2
Let n(a) be the third derivative of -3/10*a**5 + 0*a - 1/12*a**6 + 1/15*a**7 + 0 + 2/3*a**3 - 2*a**2 + 5/12*a**4. Solve n(f) = 0.
-1, -2/7, 1
Let m(o) be the first derivative of 81*o + 33/2*o**4 + 1/6*o**6 + 189/2*o**2 + 13/5*o**5 + 54*o**3 - 3. Factor m(s).
(s + 1)*(s + 3)**4
Let r(h) be the third derivative of -h**7/280 + h**6/20 - 3*h**5/10 + h**4 - h**3/3 + 2*h**2. Let w(z) be the first derivative of r(z). Factor w(k).
-3*(k - 2)**3
Let b(v) = 2*v - 1. Let z be b(3). Suppose 0 = -4*m + z*m - 2. Factor -2/5*o**m + 0 + 2/5*o.
-2*o*(o - 1)/5
Let n(x) be the first derivative of x**4/20 - x**3/3 - 4*x**2/5 + 12*x/5 - 14. Factor n(j).
(j - 6)*(j - 1)*(j + 2)/5
Let d(r) = -2*r**2 + 40*r - 162. Let w(c) = 4*c**2 - 81*c + 324. Let y(b) = -9*d(b) - 4*w(b). Let y(x) = 0. Calculate x.
9
Let v be 21/12 - (-2)/8. Let -3*c + 5 - 4 - c**3 - 3*c**2 - v = 0. What is c?
-1
Let m = 6 + -3. Suppose -5*g**3 + 6*g**2 - 10*g**4 + m*g**2 - 2*g + 6*g**5 + g**5 + g**4 = 0. What is g?
-1, 0, 2/7, 1
Let 53*y**4 + 0*y + 12*y**3 - 4*y**5 - 61*y**4 + 16*y**2 - 16*y = 0. Calculate y.
-2, 0, 1
Let s be (-12)/(-10) - -3 - 4. What is t in 8/5*t**2 - s - 2/5*t - 2/5*t**3 - 7/5*t**4 + 4/5*t**5 = 0?
-1, -1/4, 1
Let o(l) be the third derivative of -l**9/20160 - l**8/1680 - l**7/560 + 3*l**5/20 - 6*l**2. Let t(q) be the third derivative of o(q). Factor t(g).
-3*g*(g + 1)*(g + 3)
Let z = 487/90 - 46/9. Let p(o) be the first derivative of -1/4*o**4 + 1/2*o**2 + 2/3*o**3 - 1/2*o - z*o**5 + 1. Determine h, given that p(h) = 0.
-1, 1/3, 1
Let w(c) be the first derivative of -c**6/21 + 4*c**5/35 + 3*c**4/14 - 16*c**3/21 + 4*c**2/7 - 54. Find q such that w(q) = 0.
-2, 0, 1, 2
Let q(d) be the first derivative of -d**7/3360 + d**6/480 - d**5/240 + d**3/3 + 9. Let h(w) be the third derivative of q(w). Factor h(o).
-o*(o - 2)*(o - 1)/4
Let p be 4/12 + (-2)/6. Let s(n) be the third derivative of 1/18*n**4 + 0*n**3 + 0 + p*n + 1/90*n**5 + n**2. Determine v so that s(v) = 0.
-2, 0
Let h(x) = 15*x**4 - 3*x**3 - 9*x. Let q(z) = 8*z**4 - 2*z**3 - 5*z. Let j(u) = 5*h(u) - 9*q(u). Factor j(p).
3*p**3*(p + 1)
Let u = -777/2 + 389. Solve 1/2 - 1/2*x**2 - 1/2*x + u*x**3 = 0.
-1, 1
Suppose -3*o - 6*o = 11*o. Determine b so that -2/3*b**4 + o - 2/3*b**5 + 0*b**2 + 4/3*b**3 + 0*b = 0.
-2, 0, 1
Solve l + l + 132*l**2 - 130*l**2 = 0 for l.
-1, 0
Let z = -4367/4 + 1097. Solve -z*r**3 + 21/4*r + 3/2 - 15/4*r**4 + 9/4*r**2 = 0.
-1, -2/5, 1
Let n = 11 - 10. Suppose 0 = -4*z + 11 + n. Factor -q**z + 0 + 2/5*q - 3/5*q**2.
-q*(q + 1)*(5*q - 2)/5
Let f(q) = -4*q**3 - 24*q**2 + 124*q - 96. Let i(y) = -y**3 - 5*y**2 + 25*y - 19. Let z(l) = -3*f(l) + 16*i(l). Let z(x) = 0. What is x?
-4, 1
Let d be (-42)/(-112) - (-37)/8. Let m(j) be the second derivative of 3/70*j**d + 1/21*j**7 - 1/21*j**4 - 3*j + 4/35*j**6 + 0 + 0*j**3 + 0*j**2. Factor m(x).
2*x**2*(x + 1)**2*(7*x - 2)/7
Suppose -8 = -y - 6. Factor -1/3*c**3 + 0 + 1/3*c**4 + 0*c**y + 0*c.
c**3*(c - 1)/3
Suppose d + 6 = -9. Let v = -15 - d. Find c such that -2/5*c + v + 2/5*c**2 = 0.
0, 1
Find z such that 11*z**5 + 9*z**5 + 41*z**4 - 16*z + 59*z**3 + 9*z**3 + 31*z**4 = 0.
-2, -1, 0, 2/5
Let t(o) be the second derivative of 0 - 1/42*o**4 - 1/7*o**3 - 2/7*o**2 - 3*o. Factor t(j).
-2*(j + 1)*(j + 2)/7
Let a(w) be the first derivative of -3 - 8/3*w**3 + 0*w - 1/2*w**4 - 4*w**2. Factor a(c).
-2*c*(c + 2)**2
Let o(y) be the first derivative of y**4/24 - y**3/4 + y**2/2 + 7*y - 7. Let a(u) be the first derivative of o(u). Find f, given that a(f) = 0.
1, 2
Let m = 1568/3 - 522. Factor -1/3*p - 2/3 + 1/3*p**3 + m*p**2.
(p - 1)*(p + 1)*(p + 2)/3
Let f(z) be the first derivative of z**5/5 - 3*z**4/4 - z**3/3 + 3*z**2/2 + 27. Determine k so that f(k) = 0.
-1, 0, 1, 3
Let o(m) = -1 + 10*m + 8*m**4 - 17*m**2 + 3 - m - 11. Let b(x) = -2*x**4 + 4*x**2 - 2*x + 2. Let c(s) = -9*b(s) - 2*o(s). Find d, given that c(d) = 0.
-1, 0, 1
Factor 4/7 - 4/7*i + 1/7*i**2.
(i - 2)**2/7
Suppose 0 = -z + 7 - 2. Suppose -3*o = -2*o - z. Suppose 8*w**2 - 2*w - w**3 - 2 + 5*w**3 - 2*w**4 - 2*w**o - 4*w**2 = 0. Calculate w.
-1, 1
Let q = -3 - -6. Determine w so that -2*w**3 - 12*w**2 + 16*w**4 - q*w**3 - 3*w**3 - 4 + 14*w - 6*w**5 = 0.
-1, 2/3, 1
Let m = -42 + 42. Let f(b) be the third derivative of 1/175*b**7 + 0*b**5 + 0*b**4 + 1/150*b**6 + 0*b + m - b**2 + 0*b**3. Determine s, given that f(s) = 0.
-2/3, 0
Let b be 4*3 - (-12)/(-4). Let 0*q**2 + 6*q**3 - 6*q**5 + 5*q**5 - 9*q - 6*q**2 - 3 + 4*q**5 + b*q**4 = 0. What is q?
-1, 1
Suppose -15 = -l - 12. Factor 0*u**2 + u**3 - l*u**4 - 2*u**4 + u**4 - u + 4*u**2.
-u*(u - 1)*(u + 1)*(4*u - 1)
Let u = 16 - 13. Factor 6*m**2 + 3*m - 4 - 4*m - 2 + 4*m - 3*m**u.
-3*(m - 2)*(m - 1)*(m + 1)
Let c = -239/182 - -27/14. Factor -c*w + 6/13 + 2/13*w**2.
2*(w - 3)*(w - 1)/13
Determine q so that -26/9*q**3 - 2/9*q**5 + 0 + 4*q - 2/3*q**2 + 14/9*q**4 = 0.
-1, 0, 2, 3
Let b(a) be the second derivative of -a**7/42 + a**6/30 + a**5/20 - a**4/12 + 3*a. Factor b(p).
-p**2*(p - 1)**2*(p + 1)
Let n(c) be the third derivative of -c**5/80 - 3*c**4/32 + 13*c**2. Factor n(s).
-3*s*(s + 3)/4
Suppose -8*o**2 + 6*o + 3*o - 3*o**3 + o + 5*o**3 - 4 = 0. What is o?
1, 2
Let i = 429811/7 - 61132. Let y = i - 269. Factor -y*n + 0 + 2/7*n**2.
2*n*(n - 2)/7
Let k be (0 + -1)*(-7 - 140/(-21)). Factor -1/3 + k*v**2 + 1/3*v**3 - 1/3*v.
(v - 1)*(v + 1)**2/3
Suppose s - 4*d - 117 = 0, 4*s + 5*d = 102 + 303. Let y = 527/5 - s. Factor y*k - 2/5*k**3 + 0 + 0*k**2.
-2*k*(k - 1)*(k + 1)/5
Let n(x) = -3*x**3 - 5*x**2 + 15*x - 11. Let i(r) = -12*r**3 - 21*r**2 + 60*r - 45. Let f(u) = -2*i(u) + 9*n(u). Factor f(p).
-3*(p - 1)**2*(p + 3)
Let a(t) be the second derivative of -t**4/12 + t**2/2 + 14*t. Suppose a(x) = 0. Calculate x.
-1, 1
Let z(k) = k**3 + 10*k**2 + 4*k. Let u(q) = q**3 + 11*q**2 + 5*q. Let h(c) = -4*u(c) + 5*z(c). Determine m so that h(m) = 0.
-6, 0
Let s(v) be the first derivative of 2*v**5/35 - 2*v**3/7 + 2*v**2/7 - 6. Suppose s(i) = 0. What is i?
-2, 0, 1
Let i(m) be the third derivative of -m**8/2016 - m**7/630 + m**5/180 + m**4/144 + 13*m**2. Determine k, given that i(k) = 0.
-1, 0, 1
Let u(l) = -l**2 + 9*l - 10. Let z be u(7). Factor -h + h**2 - 3 - z + 7.
h*(h - 1)
Let l = -3090498 + 3532439474/1143. Let m = l + -2/381. Factor -m*w**3 + 0*w - 8/9 + 2/3*w**2.
-2*(w - 2)**2*(w + 1)/9
Suppose 0 = 4*r - 7*r + 6. Factor 1 - 2 - 2*w**r + 4 - w**2.
-3*(w - 1)*(w + 1)
Let j be 1 + (-5 + 1 - -6). Factor 16*w**2 + 32*w**2 - 21*w**j + 16*w - 7*w**3.
-4*w*(w - 2)*(7*w + 2)
Let z = -1 - -6. Let w(q) be the second derivative of -3*q + 1/20*q**z + 1/12*q**4 + 0 + 0*q**2 + 0*q**3. Let w(i) = 0. Calculate i.
-1, 0
Let n be 132/30 + 2/(-5). Factor 2*r**n + 12*r**3 - 6*r**2 + 14*r**2 + 2*r**4.
4*r**2*(r + 1)*(r + 2)
Let o(w) = w**2 + 7*w - 6. Let s = -2 + -6. Let d be o(s). Find m, given that -1/4*m**d + 1/4 + 0*m = 0.
-1, 1
Let k be (-2)/(-2)*(-1 + (-2)/(-2)). Let l(s) be the second derivative of k*s**3 + 0 + 2*s + 1/5*s**2 - 1/30*s**4. Factor l(f).
-2*(f - 1)*(f + 1)/5
Let n be (-192)/(-476) + (-16)/136. Factor 0 - 2/7*m**3 - n*m**2 + 4/7*m.
-2*m*(m - 1)*(m + 2)/7
Suppose 2*g + 4 = 5*m, -g + 4 = 2*m + 6. Factor m - 8/9*c + 50/9*c**3 + 0*c**2.
2*c*(5*c - 2)*(5*c + 2)/9
Let z(q) be the third derivative of 0*q - 6*q**2 - 1/300*q**6 + 0*q**3 + 1/1680*q**8 + 0*q**7 + 1/120*q**4 + 0 + 0*q**5. Find n, given that z(n) = 0.
-1, 0, 1
Let m(r) be the first derivative of -r**6/15 - 2*r**5/5 - r**4 - 4*r**3/3 - r**2 + 3*r - 4. Let s(x) be the first derivative of m(x). Find o such that s(o) = 0.
-1
Factor 10/9*m**4 - 4/3*m**3 + 0 - 8/9*m**2 - 2/9*m**5 + 16/9*m.
-2*m*(m - 2)**3*(m + 1)/9
Let p = -48/13 + 253/65. Factor -1/5*n**2 + 0 - p*n**3 + 2/5*n.
-n*(n - 1)*(n + 2)/5
Let a = 201/5 - 40. Let i(o) be the first derivative of -o - a*o**5 + 2/3*o**3 - 1 - 1/2*o**2 - 1/6*o**6 + 1/2*o**4. Factor i(w).
-(w - 1)**2*(w + 1)**3
Let s(z) = 2*z - 1. Let k be s(3). Factor 0 - 3*l**3 - 7/3*l**2 - 1/3*l**k - 5/3*l**4 - 2/3*l.
-l*(l + 1)**3*(l + 2)/3
Let q(m) = -17*m**4 - 32*m**3 - 24*m**2 + 41*m + 32. Let x(l) = 4*l**4 + 8*l**3 + 6*l**2 - 10*l - 8. Let c(d) = -2*q(d) - 9*x(d). Factor c(p).
-2*(p - 1)*(p + 1)*(p + 2)**2
Factor 20 + 225*d**2 + 405/2*d**3 + 110*d + 135/2*d