5 + q**4/156 - q**3/13 + 70*q**2. Determine f, given that d(f) = 0.
-1, 1, 3
Factor g**2 + 0*g**4 - 2*g**3 + 3/2*g - 1 + 1/2*g**5.
(g - 1)**3*(g + 1)*(g + 2)/2
Let a(h) be the first derivative of 2/3*h**5 + 10 + 3/2*h**4 + 1/9*h**6 + 14/9*h**3 + 0*h + 2/3*h**2. Factor a(l).
2*l*(l + 1)**3*(l + 2)/3
Let p = 1439/6 + -461/2. Let h(c) be the second derivative of c + 0 - 49/6*c**4 - p*c**3 - 4*c**2. Let h(k) = 0. Calculate k.
-2/7
Let w(z) be the third derivative of -1/120*z**6 + 0*z**5 + 0*z**3 + 1/24*z**4 + 6*z**2 + 0 + 0*z. Suppose w(l) = 0. Calculate l.
-1, 0, 1
Let d(k) = -k**2 + 7*k - 7. Let o be d(4). Let h(t) = -2*t. Let w be h(-2). Let -a**5 + w*a**5 - o*a**5 = 0. What is a?
0
Let z(m) = m**2 - 4*m - 5. Suppose 2*t = t - 5. Let n(k) = 5*k - k**2 + 3 - 3 + 6. Let o(j) = t*z(j) - 4*n(j). Let o(y) = 0. Calculate y.
-1, 1
Suppose 28/5*q**4 - 4/5 + 8/5*q**3 - 24/5*q**2 + 12/5*q**5 - 4*q = 0. What is q?
-1, -1/3, 1
Factor 0 + 0*k**2 - 2/15*k**4 - 2/15*k**3 + 0*k.
-2*k**3*(k + 1)/15
Solve -1/3*q**4 + 0*q**3 + 1/3*q**2 + 0 + 0*q = 0 for q.
-1, 0, 1
Let a(z) = -13*z**2 + 5*z - 19. Let i(g) = -7*g**2 + 2*g - 9. Let f(p) = -6*a(p) + 11*i(p). Determine q, given that f(q) = 0.
3, 5
Let q be 10/12 + 3/(-9). Let p(w) be the second derivative of -2/3*w**3 + 1/5*w**5 + 1/10*w**6 + 0 - 1/6*w**4 - q*w**2 + 3*w. Suppose p(c) = 0. What is c?
-1, -1/3, 1
Let x(q) = -q**2 + q. Let j(l) be the first derivative of -l**3/3 + 5*l**2/2 - 4*l + 3. Let s(f) = j(f) - 3*x(f). Solve s(r) = 0.
-2, 1
Let q(o) = -6*o**4 + 12*o**3 + 6*o**2 - 39*o + 24. Let h(x) = 5*x**4 - 11*x**3 - 6*x**2 + 38*x - 24. Let m(a) = 3*h(a) + 2*q(a). Let m(p) = 0. Calculate p.
-2, 1, 2
Let x(q) be the third derivative of -q**7/840 - q**6/240 + q**5/20 + q**4/6 - q**2. Let j(o) be the second derivative of x(o). Factor j(u).
-3*(u - 1)*(u + 2)
Let y = 15 + -12. Suppose 10 = -2*i, -4*t - t = -y*i - 25. Factor -2*n**t - 6/5*n + 4/5.
-2*(n + 1)*(5*n - 2)/5
Let c be 2/(-2) + 3 - 2. Suppose 2*j + 3*j = c. Factor u**4 + j*u + 0 - 3*u**2 + 2 - u + u**3.
(u - 1)**2*(u + 1)*(u + 2)
Let o(c) = -4 + c - 1 - 2. Let m be o(7). Factor 2*b**2 - 2*b**3 + 3*b**5 - b**5 - 2*b**4 + m*b**3.
2*b**2*(b - 1)**2*(b + 1)
Let r(l) be the first derivative of -1 - 1/10*l**4 - l**2 - 4/5*l - 8/15*l**3. Solve r(x) = 0.
-2, -1
Suppose 1/3*z + 1/2*z**2 - 1/6*z**4 + 0*z**3 + 0 = 0. What is z?
-1, 0, 2
Let x = -189 + 189. Determine b so that -2/5*b**3 + 0 + x*b - 2/5*b**2 = 0.
-1, 0
Let l(h) = 25*h + 177. Let c be l(-7). Factor -r + r**c + 1/3 - 1/3*r**3.
-(r - 1)**3/3
Let o be 16/30*(-2 + (-44)/(-16)). Determine c so that 0*c**2 + o*c**3 - 4/5 - 6/5*c = 0.
-1, 2
Let m = 30 + -25. Let k(c) be the first derivative of 0*c**2 - 2/21*c**3 + 1 - 2/35*c**m + 0*c - 1/7*c**4. Factor k(b).
-2*b**2*(b + 1)**2/7
Let u(x) be the third derivative of -512*x**7/105 + 64*x**6/15 - 8*x**5/5 + x**4/3 - x**3/24 - 6*x**2. Factor u(y).
-(8*y - 1)**4/4
Let p(b) be the third derivative of -b**9/10584 - b**8/11760 + b**4/12 + 3*b**2. Let x(v) be the second derivative of p(v). Determine z so that x(z) = 0.
-2/5, 0
Let c(x) = -48*x**3 - 378*x**2 - 2214*x - 4536. Let j(p) = 7*p**3 + 54*p**2 + 316*p + 648. Let i(v) = 4*c(v) + 27*j(v). Factor i(l).
-3*(l + 6)**3
Let g(b) = -2*b + 30. Let p be g(14). Let q(v) be the third derivative of 1/36*v**4 + 0 - 2/45*v**5 + 0*v + v**p + 0*v**3. Factor q(h).
-2*h*(4*h - 1)/3
Let p(f) be the second derivative of 0 - 1/12*f**4 - 1/6*f**3 + f**2 + 6*f. Suppose p(i) = 0. What is i?
-2, 1
Let c(g) be the first derivative of 1/4*g**2 + 0*g - 2 - 1/12*g**3. Factor c(w).
-w*(w - 2)/4
Let d(p) be the second derivative of -p**7/98 + p**6/10 + 3*p**5/70 - 23*p**4/14 - 65*p**3/14 - 75*p**2/14 + 22*p + 1. Factor d(c).
-3*(c - 5)**2*(c + 1)**3/7
Let k(a) = 35*a**4 - 138*a**3 + 154*a**2 - 22*a + 2. Let j(w) = w**4 - w**2 + w + 1. Let f(c) = -2*j(c) + k(c). Let f(z) = 0. Calculate z.
0, 2/11, 2
Let o(m) be the first derivative of -m**4/10 + 2*m**3/5 - 3*m**2/5 + 2*m/5 - 10. Factor o(s).
-2*(s - 1)**3/5
Find r such that 1/2*r - r**3 + 0*r**4 + 0*r**2 + 1/2*r**5 + 0 = 0.
-1, 0, 1
Let j = 38 - 35. Let t(g) be the first derivative of 1 - 14/9*g**j + 5/3*g**2 + 4/3*g. Factor t(f).
-2*(f - 1)*(7*f + 2)/3
Factor -1/2*g**2 + 4*g - 8.
-(g - 4)**2/2
Let w(f) = 3*f - 64. Let z be w(22). Suppose -2/3*l**z - 4*l - 6 = 0. What is l?
-3
Let m = 19/22 - 127/198. Factor 0*j**2 - 2/9*j**3 - m*j**4 + 0 + 0*j.
-2*j**3*(j + 1)/9
Let c(u) = -15*u**2 - 16*u - 2. Let k(m) = 34*m - 2*m + 29*m**2 - 12 + 15. Let i(h) = -11*c(h) - 6*k(h). Factor i(b).
-(b + 2)*(9*b - 2)
Let m = 47/5 - 28/3. Let a(y) be the second derivative of 0*y**3 + 0 + 1/10*y**5 - 3*y - m*y**6 + 0*y**2 + 0*y**4. Factor a(l).
-2*l**3*(l - 1)
Let f(m) = -13*m**5 - 17*m**4 - m**3 + 4*m**2 + 5*m + 5. Let x(i) = 12*i**5 + 16*i**4 + 2*i**3 - 3*i**2 - 4*i - 4. Let n(c) = 4*f(c) + 5*x(c). Factor n(j).
j**2*(2*j + 1)**3
Let x(k) be the second derivative of -2*k**7/21 + 2*k**5/5 - 2*k**3/3 + 9*k. Factor x(i).
-4*i*(i - 1)**2*(i + 1)**2
Solve -7*z**2 + 6*z**2 + 4*z**2 + 10*z - 4*z = 0 for z.
-2, 0
Let d be 2/(-5) + (-6)/(-15). Suppose 5*l - 10 = d, -3*g - 8 = -2*g - 5*l. Factor -4*x + 2*x**g + 4*x - 2*x**3 + 5*x - x.
-2*x*(x - 2)*(x + 1)
Let 5/2*x + 1/2*x**3 + 1 + 2*x**2 = 0. Calculate x.
-2, -1
Let v(c) be the second derivative of -c**6/75 + c**4/15 - c**2/5 + 20*c. Determine a so that v(a) = 0.
-1, 1
Determine q, given that -3*q - 30*q**2 - 7*q + 25*q**2 = 0.
-2, 0
Let r(i) = -i**2 - 2*i + 4. Let t be r(-8). Let o = t + 398/9. Find n, given that -2/9 + 2/9*n + 4/9*n**2 - 4/9*n**3 - 2/9*n**4 + o*n**5 = 0.
-1, 1
Let z(a) = -3*a**2 - 6*a. Let y be z(-2). Let -3/2*m**4 + 3/2*m**2 + 3/4*m + y - 3/4*m**3 = 0. What is m?
-1, -1/2, 0, 1
Factor -23*y**2 + 2*y + 46*y**2 - 25*y**2.
-2*y*(y - 1)
Suppose -7*j = 2*a - 3*j - 12, a - 8 = -3*j. Factor -6*g**a - g + 4*g**2 + 3*g.
-2*g*(g - 1)
Let w(i) be the third derivative of 0*i**5 + 1/1512*i**8 + 0*i**3 + 0*i - 1/540*i**6 - 8*i**2 + 0*i**4 + 0 + 0*i**7. Let w(p) = 0. Calculate p.
-1, 0, 1
Let c(b) be the second derivative of 1/20*b**5 + 0*b**4 + 0*b**3 + 1/2*b**2 + 1/40*b**6 + 0 + 2*b. Let g(v) be the first derivative of c(v). Factor g(s).
3*s**2*(s + 1)
Let v(w) = -w**3 + 7*w**2 - 7*w + 8. Let c = 19 - 13. Let y be v(c). Factor 2*n**3 + 2*n**y - 2*n - 3*n**4 - n**4 + 2*n**4.
-2*n*(n - 1)**2*(n + 1)
Let k = 2/41 - -113/205. Factor 1/5*w**4 - w + 1/5*w**3 - 2/5 - k*w**2.
(w - 2)*(w + 1)**3/5
Let p = 98/185 - -10/37. Factor x + 2/5 - p*x**3 - 4/5*x**4 + 2/5*x**2 - 1/5*x**5.
-(x - 1)*(x + 1)**3*(x + 2)/5
Determine n, given that 12*n - 2*n**2 + 7*n**2 - n**3 + n**2 - 2*n**3 - 24 = 0.
-2, 2
Suppose -6 = 2*z - 4*z. Let w(l) be the second derivative of l**2 + 0 + 1/3*l**z - 4*l - 1/10*l**5 - 1/6*l**4. Solve w(v) = 0.
-1, 1
Suppose 5*m = 0, -i - m = m + 2. Let d be i/(-14) + 19/63. Let -2/9*x**5 - 4/9*x**3 - 2/3*x**4 + d*x**2 + 2/3*x + 2/9 = 0. What is x?
-1, 1
Let w(h) = -3*h**3 - 6*h**2 + 8*h - 12. Let k be (-42)/(-7)*4/6. Let f(z) = 8*z**3 + 18*z**2 - 25*z + 35. Let b(y) = k*f(y) + 11*w(y). Let b(i) = 0. What is i?
2
Let 4/13 - 6/13*q - 6/13*q**4 - 6/13*q**2 + 14/13*q**3 = 0. What is q?
-2/3, 1
Let x(f) = -f**3 - 24*f**2 - 19*f + 4. Let z(k) = -10*k**3 - 265*k**2 - 210*k + 45. Let q(t) = -45*x(t) + 4*z(t). Solve q(l) = 0 for l.
-3, -1, 0
Let t(s) be the first derivative of -s**3 - 5 - 9*s**2 + 0*s - 27*s + 2 + 1. Find h such that t(h) = 0.
-3
Let z be 1/(-3) + 28/12. Suppose z*t - 12 = -2*t. Factor 4 - 4 + 0 - 9*x + 3*x**t - 6.
3*(x - 2)*(x + 1)**2
Let c(z) be the second derivative of -1/10*z**3 + 0*z**4 + 2*z + 0 + 1/100*z**5 + 1/5*z**2. Factor c(r).
(r - 1)**2*(r + 2)/5
Let d(x) be the first derivative of -8*x**3/9 - 5*x**2/3 - 2*x/3 - 23. Factor d(z).
-2*(z + 1)*(4*z + 1)/3
Suppose 7*a = -1 + 22. Factor -2/3*r**2 + 0 + 1/3*r**a + 1/3*r.
r*(r - 1)**2/3
Let l = -28 - -27. Let c(v) = -v**2 + v - 1. Let w(m) = 3*m**3 + 11*m**2 + 4*m + 2. Let o(z) = l*w(z) - 2*c(z). Factor o(s).
-3*s*(s + 1)*(s + 2)
Let v(h) = -7*h**4 - h**3 - 3*h**2 + h. Let s(d) = 3*d**4 + d**2. Let f(o) = 15*s(o) + 6*v(o). Factor f(j).
3*j*(j - 2)*(j - 1)*(j + 1)
Let o = -26 - -24. Let n(g) = g**2 + 2*g + 2. Let h be n(o). Suppose 0 - 1/4*y - 1/4*y**h = 0. What is y?
-1, 0
Let m = 427/2 - 5764/27. Le