4/9 - 10*q. Let b(z) = 0. What is z?
-1, 0, 2/5
Let r(i) be the second derivative of -i**7/105 - i**6/20 - i**5/10 - i**4/12 + 5*i**2/2 + i. Let w(p) be the first derivative of r(p). Factor w(b).
-2*b*(b + 1)**3
Suppose -10/3*i**2 + 74/3*i - 28/3 = 0. Calculate i.
2/5, 7
Let y(f) be the first derivative of -f**2 - f - 2. Let z be y(-2). Suppose 4*p**2 + 2*p + 5*p**z - p**3 - 2*p**3 + 0*p**3 = 0. Calculate p.
-1, 0
Let l(y) = y**2 + 25*y - 54. Let j be l(-27). Factor 3/2 - 3/2*u**2 + j*u.
-3*(u - 1)*(u + 1)/2
Let c(i) = -i. Let x(l) = -2*l. Let a(v) = c(v) - x(v). Let z(f) = -3*f**2 + 3*f - 6. Let k(y) = -6*a(y) - z(y). Factor k(j).
3*(j - 2)*(j - 1)
Let x = 2 - 0. Factor -10*c + 2*c + 8 - 24*c**2 + 26*c**x.
2*(c - 2)**2
Let d(q) = -q**4 - 2*q**3 + q**2 + 2*q + 3. Let o(t) = 3*t**4 + 3*t**3 - 3*t**2 - 3*t - 5. Let l(g) = -5*d(g) - 3*o(g). Determine s so that l(s) = 0.
-1, 0, 1/4, 1
Let x be ((0/2)/(-1))/(-1). Suppose 5*r = -x*r + 15. Factor -2*t**4 - t - 2*t**2 - 4*t**r - t + 2*t.
-2*t**2*(t + 1)**2
Let s = 29 + -21. Suppose -y = 3*y + s. Let o(j) = j**3 + 2*j**2 - 3*j + 4. Let a(n) = 4*n**3 + 5*n**2 - 8*n + 13. Let p(h) = y*a(h) + 7*o(h). Factor p(d).
-(d - 2)*(d - 1)**2
Let j(k) = 5*k**4 - 6*k**3 - 21*k**2 + 10*k - 6. Let a(b) = -55*b**4 + 65*b**3 + 230*b**2 - 110*b + 65. Let g(s) = -6*a(s) - 65*j(s). Factor g(o).
5*o*(o - 1)**2*(o + 2)
Suppose -98/3 + 112/3*y - 32/3*y**2 = 0. What is y?
7/4
Let q(b) be the first derivative of -b**6/15 + b**5/5 - b**4/5 + b**3/15 - 1. Factor q(y).
-y**2*(y - 1)**2*(2*y - 1)/5
Let r(q) = -q**3 - 4*q**2 + q. Let t be r(-4). Let k be t*((-204)/64 - -3). Factor -f**2 + k*f + 1/4.
-(f - 1)*(4*f + 1)/4
Suppose 0 = -2*g - 5*k - 33, 7 = 2*g - 3*k - 0. Let d = g - -4. Determine h so that 2*h**4 - 4/3*h**3 + 0*h + 0*h**2 + d - 2/3*h**5 = 0.
0, 1, 2
Let 15/2*m + 9 - 3/2*m**2 = 0. Calculate m.
-1, 6
Let m = 3 - 4. Let s = 11 - 9. Let q(r) = r**4 + r**3 + r. Let d(k) = -2*k**5 + 4*k**3 + 2*k**2 + 2*k. Let f(c) = m*d(c) + s*q(c). What is v in f(v) = 0?
-1, 0, 1
Let f(h) be the first derivative of h**4/2 - h**2 - 7. Factor f(s).
2*s*(s - 1)*(s + 1)
Suppose 0 = 2*h - 5*a + 49, -5*a = 2*h - 3 + 2. Let g be ((-12)/20)/(h/40). Find l, given that -147/2*l**5 + 4 - 22*l + 191/2*l**3 - 7*l**4 + 3*l**g = 0.
-1, -2/3, 2/7, 1
Let q(b) be the first derivative of b**5/30 + b**4/12 - 2*b**3/3 + b**2 + 1. Let u(r) be the second derivative of q(r). Factor u(x).
2*(x - 1)*(x + 2)
Let b = -36 + 36. Factor -2/9*x**2 + 0*x + 2/9*x**4 + 0 + b*x**3.
2*x**2*(x - 1)*(x + 1)/9
Let b(n) = 4*n + 1. Let h be b(-1). Let s(m) = 28*m**3 - 32*m**2 + 8*m - 1. Let l(c) = c**3 + c**2 - c. Let d(x) = h*l(x) + s(x). Factor d(p).
(p - 1)*(5*p - 1)**2
Suppose 4*c + m - 15 = 0, -4*m - 1 = c + m. Determine x so that 1/4*x + 3/4*x**3 + 0 + 3/4*x**2 + 1/4*x**c = 0.
-1, 0
Let v(g) be the first derivative of g**4/14 - 2*g**3/21 - g**2/7 + 2*g/7 + 5. Find t such that v(t) = 0.
-1, 1
Let j(i) = 8*i**2 + 2*i - 6. Let b(p) = -6*p + 15 + 6*p**2 + 2*p - 23*p**2 - 2. Let y(r) = 3*b(r) + 7*j(r). Let y(q) = 0. What is q?
-1, 3/5
Let z(g) be the second derivative of 0 + 9*g - 4/51*g**3 + 1/170*g**5 - 1/255*g**6 + 0*g**2 + 2/51*g**4. Suppose z(f) = 0. What is f?
-2, 0, 1, 2
Let t be -1 - 49/(-14) - -8. Find w, given that -15/2*w + 3 - t*w**2 = 0.
-1, 2/7
Let o(l) = 2*l. Let g(y) = 3*y**2 - 27*y + 12. Let n(b) = -g(b) - 6*o(b). Factor n(m).
-3*(m - 4)*(m - 1)
Let b(u) be the second derivative of 1/12*u**4 + 0 - 2*u - 1/3*u**3 - 1/60*u**6 + 1/2*u**2 + 1/30*u**5. Let x(d) be the first derivative of b(d). Factor x(k).
-2*(k - 1)**2*(k + 1)
Let i(f) = -13*f**4 - 9*f**3 + 38*f**2 - 12*f + 2. Let y(k) = 25*k**4 + 18*k**3 - 77*k**2 + 24*k - 5. Let d(g) = -5*i(g) - 2*y(g). Solve d(c) = 0.
-2, 0, 2/5, 1
Let l be (0 - (-26)/18) + -1. Let a = 647/117 + -69/13. Factor a*n + 2/9*n**2 - l.
2*(n - 1)*(n + 2)/9
Suppose 0 = -0*u + u - 5*s - 5, -2*u = -2*s - 10. Factor y - u - y**2 - 4*y + 3.
-(y + 1)*(y + 2)
Suppose -31 = -2*d + 5*p, -5*d + 2*p = -p - 30. Let b = 11 - 8. Solve s**3 + s - s - 2*s**2 - b*s**d = 0 for s.
-1, 0
Let d(s) = s**2 - 1. Let r(i) = -4*i**2 + 5. Let o(b) = 5*d(b) + r(b). Let o(y) = 0. Calculate y.
0
Let k(v) = -v**2 + 7*v + 1. Let p be k(7). Let s(b) be the first derivative of 1/14*b**4 - p - 2/7*b - 2/7*b**3 + 3/7*b**2. Factor s(q).
2*(q - 1)**3/7
Let m(v) be the third derivative of 1/20*v**5 + 0*v**4 + 0*v - 1/2*v**3 + 0 - 2*v**2. Solve m(o) = 0 for o.
-1, 1
Let x(y) be the second derivative of -1/70*y**5 + 0*y**2 + 1/21*y**3 + 4/105*y**6 - 2/21*y**4 + 0 - y. Suppose x(i) = 0. Calculate i.
-1, 0, 1/4, 1
Suppose 0 = -3*n + 5*u + 212, 2*n + 72 = 3*n - 3*u. Let l = n + -339/5. Suppose -6/5*v**3 - 2/5*v + 2/5*v**4 + l*v**2 + 0 = 0. What is v?
0, 1
Let a(v) be the second derivative of -v**7/28 - v**6/4 - 27*v**5/40 - 7*v**4/8 - v**3/2 + 70*v. Let a(n) = 0. Calculate n.
-2, -1, 0
Let k = -1 + 4. Suppose k*a + 4 = 10. Solve -3/2*i - 1/2*i**3 - 1/2 - 3/2*i**a = 0 for i.
-1
Let g(w) be the first derivative of 2*w**3/21 + 2*w**2/7 + 2*w/7 - 10. Factor g(r).
2*(r + 1)**2/7
Let j(z) = 2 - 1 + 3*z**2 + 2 + 4*z. Let f(a) = 9*a + 16 + 12*a - a**2 + 17*a**2. Let q(s) = 2*f(s) - 11*j(s). Suppose q(n) = 0. What is n?
-1
Let w(f) = -21*f**4 + 36*f**3 - 21*f**2 + 6. Let g(t) = -t**4 + t**2 - t + 1. Let b(m) = 6*g(m) - w(m). Determine j so that b(j) = 0.
0, 2/5, 1
Let y(r) = -r**3 + 6*r**2 - 4*r - 2. Let t be y(5). Let 3*n + 6 - 3*n - t*n - 3*n**2 = 0. Calculate n.
-2, 1
Let t(m) be the first derivative of -m**3/12 - m**2/4 + 1. Find x, given that t(x) = 0.
-2, 0
Suppose 0*a - 2*a + x = 0, -4*a = 4*x - 12. Let -m**2 - 2*m**2 + 0*m**2 + 4 - a + 12*m - 12*m**3 = 0. What is m?
-1, -1/4, 1
Let h(q) be the third derivative of -1/20*q**5 + 0 - 2*q**2 + 1/30*q**6 + 0*q**3 + 1/36*q**4 - 1/126*q**7 + 0*q. Factor h(t).
-t*(t - 1)**2*(5*t - 2)/3
Let m(r) be the second derivative of -8*r**2 + 0*r**3 - 1/5*r**5 + r**4 + 4*r + 0. Determine a, given that m(a) = 0.
-1, 2
Let x(l) = -l**3 + 5*l**2 + 7*l - 6. Let j be x(6). Factor -2*k**5 - 6*k**4 + 2 + j*k**3 + 4*k**2 + 6*k + 0*k**3 - 4*k**3.
-2*(k - 1)*(k + 1)**4
Suppose -3*b - 2*w + 64 = 3*w, -5*b + 2*w + 148 = 0. Let f be ((-6)/(-8))/(7/b). Factor -2*v**2 + 3*v + 0*v**f - v**3 - 4*v - 3*v**4 + 2*v**5 + 5*v**2.
v*(v - 1)**2*(v + 1)*(2*v - 1)
Let h(b) = -3*b - 4. Let d be h(-7). Let i = d + -17. Find r, given that -14/9*r**2 - 2/9*r**5 + 8/9 + 2/3*r**4 + i*r + 2/9*r**3 = 0.
-1, 1, 2
Let x(p) be the first derivative of -1 + 1/5*p**5 - p + 0*p**3 - p**2 + 1/2*p**4. Determine t so that x(t) = 0.
-1, 1
Find q such that -35*q**4 - 1 - 5*q + 11 - 49*q**3 - 46*q**3 - 75*q**2 = 0.
-1, 2/7
Let d be (-2)/(-4)*-2 + 4. Let c = 4 - -1. Factor 0*b**d - c*b**3 + b**5 + 4*b**3.
b**3*(b - 1)*(b + 1)
Let g(p) be the third derivative of p**5/330 - p**4/66 + p**3/33 + 14*p**2. Factor g(t).
2*(t - 1)**2/11
Let l(m) be the third derivative of -m**7/630 + m**6/90 + m**5/30 - m**4/18 - 5*m**3/18 - 44*m**2. Factor l(t).
-(t - 5)*(t - 1)*(t + 1)**2/3
Let l be (24/48)/((-10)/(-32)). Find g, given that -l - 2/5*g**3 - 2*g**2 - 16/5*g = 0.
-2, -1
Suppose 5 - 29 = -4*r. Let -16*c**4 + 6*c**3 - 3*c + 7*c**4 + 3*c**5 - 6*c + r*c**2 + 3 = 0. Calculate c.
-1, 1
Let r(t) = 5*t**3 - 25*t**2 + 38*t - 18. Let b(h) = 5*h**3 - 25*h**2 + 39*h - 19. Let y(j) = -3*b(j) + 4*r(j). Factor y(n).
5*(n - 3)*(n - 1)**2
Suppose 0 = 6*x - 2*x. Suppose -6*p + 9*p = x. Factor p*k - 2/5*k**2 - 4/5*k**3 + 0 - 2/5*k**4.
-2*k**2*(k + 1)**2/5
Let u = -181 + 8689/48. Let a(l) be the third derivative of -1/120*l**5 - l**2 + 0 + u*l**4 + 1/6*l**3 + 0*l. Determine c so that a(c) = 0.
-1, 2
Let p be (-2 - 0)*(-2 - 0). Solve -14*z**3 + 2 - p*z**5 + 7*z - 2*z**3 + 13*z**5 - 2*z**2 = 0.
-1, -2/3, -1/3, 1
Let u be 58/8 + (-5)/20. Factor -6*g - 6*g**2 + u*g**4 - 2 + 9*g**3 - 4*g + g + g**2.
(g - 1)*(g + 1)**2*(7*g + 2)
Let p be (-16)/(-6)*(-3)/(-2). Let c be p/(-6)*27/(-63). Solve -8/7*b**4 + c*b**5 + 0 + 2/7*b + 12/7*b**3 - 8/7*b**2 = 0.
0, 1
Let t be -2*(-1)/(-3)*(-87)/145. Factor 4/5*l + t*l**2 + 0.
2*l*(l + 2)/5
Suppose 0*g = 5*b - g - 8, -3*g = -3*b. Factor b - 5*h**2 + 0*h - 10*h**2 + 3*h + 16*h**2.
(h + 1)*(h + 2)
Suppose -4*y + 8 = -4*c - 0*y, 5*y + 30 = -5*c. Let s = -1 - c. Factor 7/4*a**4 - 1/4*a**5 - 19/4*a*