 4*n**6/5 + 21*n**5/20 + 14*n. Determine j, given that r(j) = 0.
-7, -1, 0
Let z be (-48)/(-36) + (609/(-36))/(-7). Let -15/4*t**5 - 3/4*t**2 + 0 + 1/2*t + 31/4*t**4 - z*t**3 = 0. Calculate t.
-1/3, 0, 2/5, 1
Let t = 1 + 1. Suppose -m = t*m - 9. Let x - 3*x**3 - 4*x**4 + 2*x**3 - m*x**2 + 7*x**2 = 0. What is x?
-1, -1/4, 0, 1
Suppose -2*y - 53 + 61 = 0. Determine m, given that 2/5*m**2 - 2/5*m**y - 2/5*m**3 + 0*m + 0 + 2/5*m**5 = 0.
-1, 0, 1
Let m be (3/(-6))/((-3)/(-12)). Let v be (-2 + 1)/(m/10). Factor 1/2*r**5 + 1/2 + 5*r**3 + 5/2*r + 5/2*r**4 + v*r**2.
(r + 1)**5/2
Let t(i) be the first derivative of -i**4/14 + 4*i**3/7 + i**2/7 - 12*i/7 - 29. Suppose t(c) = 0. What is c?
-1, 1, 6
Let w(r) = -r**3 - 7*r**2 - r - 5. Suppose 5*i - 11 = -2*b, -7 = -2*i + 3. Let v be w(b). Solve 2*y**2 + v*y**3 + 5 - 13 + 4*y**2 = 0 for y.
-2, 1
Factor -14/9*x**3 + 0 - 38/9*x**2 + 4/3*x.
-2*x*(x + 3)*(7*x - 2)/9
Let c = -60 - -60. Determine i so that -1/4*i**2 + 1/4 + c*i = 0.
-1, 1
Factor -27 + 55*x + 5*x + 3*x**2 - 13 + 5*x**3 - 33*x**2.
5*(x - 2)**3
Let u(f) be the first derivative of -1/15*f**3 + 0*f**2 - 1/10*f**4 - 4 - 1/25*f**5 + 0*f. Factor u(m).
-m**2*(m + 1)**2/5
Let v be (-3)/12 - (-5)/4. Suppose a = -v + 3. Find q such that -3*q**a - 2*q**2 + 3*q**2 = 0.
0
Let w(z) be the first derivative of 1 + 0*z + 0*z**2 + 1/4*z**4 + 2/3*z**3. Factor w(i).
i**2*(i + 2)
Suppose 0 = -4*s + 4, 0*b - s = 2*b - 15. Let v be (-2)/b + 30/56. Factor -v*l**2 + 1/4*l + 1/2.
-(l - 2)*(l + 1)/4
Suppose 26 = 5*j + 4*x, -2*j - 6*x = -2*x - 20. Factor -1/2*v**2 - j*v - 2.
-(v + 2)**2/2
Let j(d) be the third derivative of -3*d**3 - 17/8*d**4 + 0*d + 0 - 1/4*d**5 + d**2. Factor j(c).
-3*(c + 3)*(5*c + 2)
Let t(r) = -r + 5. Let u be t(11). Let l = 19/3 + u. Factor l*x**4 + 0 + 0*x**3 + 0*x - 1/3*x**2.
x**2*(x - 1)*(x + 1)/3
Let i(b) be the third derivative of -4*b**7/735 - b**6/12 - 29*b**5/70 - 10*b**4/21 + 16*b**3/21 - 2*b**2 - 2. Let i(j) = 0. Calculate j.
-4, -1, 1/4
Suppose -16 = f - 5*f - 2*a, 4*a = 2*f + 2. Factor 2*h**2 + 2/9 - 8/9*h**f - 4/3*h.
-2*(h - 1)**2*(4*h - 1)/9
Let y(p) be the third derivative of -7*p**8/7200 + p**7/450 - p**6/450 - p**5/60 - p**2. Let k(v) be the third derivative of y(v). Solve k(q) = 0 for q.
2/7
Let h(s) be the first derivative of -2*s**5/15 - s**4/3 - 2*s**3/9 - 2. Factor h(i).
-2*i**2*(i + 1)**2/3
Let r(h) be the third derivative of h**7/2310 - h**6/440 + h**5/330 - 14*h**2. Factor r(p).
p**2*(p - 2)*(p - 1)/11
Let v(j) = 3*j**2 - 36*j - 45. Let s(u) = -u**2 + 18*u + 23. Let k(l) = 9*s(l) + 4*v(l). Suppose k(h) = 0. Calculate h.
-3
Suppose 3*z = 14 + 13. Let a be (-2)/10*z/(-9). Factor 0 + 1/5*t - 1/5*t**2 + a*t**4 - 1/5*t**3.
t*(t - 1)**2*(t + 1)/5
Let b(c) be the second derivative of -c**5/20 - c**4/9 + 2*c**3/9 + c. Solve b(j) = 0.
-2, 0, 2/3
Let r(u) be the first derivative of 0*u + 0*u**2 + 2/15*u**3 - 3 + 0*u**4 - 2/25*u**5. Factor r(z).
-2*z**2*(z - 1)*(z + 1)/5
Let w be ((-1)/2)/(-1)*44. Let y = w - 17. Factor -1/2*i**4 - 1/3*i**3 + 1/3*i**2 + 1/2*i + 1/6 - 1/6*i**y.
-(i - 1)*(i + 1)**4/6
Let g(y) = 15*y**2 - 41*y + 65. Suppose 0 = -8*s + 3*s + 15. Let u(f) = 7*f**2 - 21*f + 33. Let t(c) = s*g(c) - 7*u(c). Find b such that t(b) = 0.
3
Factor 2*k**2 - 2 - 11*k**2 - 3*k**3 + 10*k**2 + k**4 + 3*k.
(k - 2)*(k - 1)**2*(k + 1)
Let r(z) be the second derivative of -z**6/75 - z**5/25 - z**4/30 + z. Factor r(p).
-2*p**2*(p + 1)**2/5
Let n(u) be the third derivative of -u**7/280 + 9*u**2. Find g such that n(g) = 0.
0
Let f(l) be the first derivative of -l**3/3 - 2*l**2 - 4*l - 7. Factor f(w).
-(w + 2)**2
Suppose 10/3*o + 2/3*o**4 - 2*o**2 - 2/3*o**3 - 4/3 = 0. What is o?
-2, 1
Let f(j) be the first derivative of 4/3*j**2 + 4/9*j**3 + 1 + 3*j + 1/18*j**4. Let s(z) be the first derivative of f(z). Determine g so that s(g) = 0.
-2
Let x(g) be the second derivative of -g**6/40 - 3*g**5/40 - g**4/16 - 2*g. Find v, given that x(v) = 0.
-1, 0
What is a in -a**3 + a**3 + a**4 + a - 5*a**3 + 4*a**3 - a**2 = 0?
-1, 0, 1
Let p = -1 + 1. Let o(g) be the third derivative of 0 + 2*g**2 + p*g**3 + 0*g + 0*g**4 - 1/210*g**5. Factor o(a).
-2*a**2/7
Let t(c) = c**2. Let b(s) = s**2 + 2*s - 1. Let x be b(-3). Let v(w) = -4*w**2 + 6*w - 4. Let y(r) = x*t(r) + v(r). Factor y(n).
-2*(n - 2)*(n - 1)
Let f be ((-30)/(-24))/(1/(-1) - -6). Factor -f*y**2 + 3/4*y + 0.
-y*(y - 3)/4
Let g(i) = 9*i**2 + 9*i. Let x(j) = -j**2 - 5*j - j + 5*j. Let n(z) = -g(z) - 6*x(z). What is t in n(t) = 0?
-1, 0
Let c(o) be the second derivative of -o**7/420 + o**6/180 - o**3/2 - o. Let l(r) be the second derivative of c(r). Solve l(f) = 0 for f.
0, 1
Let u be 33/7 + -5*16/(-280). Let k(q) be the third derivative of 0 - 4*q**2 - 1/180*q**u - 1/18*q**3 + 0*q - 1/36*q**4. Factor k(z).
-(z + 1)**2/3
Let g(o) = 16*o**4 + 4*o**3 + o**2. Let s(r) be the second derivative of -r**6/6 - r**5/20 - r. Let z(y) = -4*g(y) - 14*s(y). What is j in z(j) = 0?
-2/3, 0, 1
Let d(o) be the second derivative of 7*o**4/4 + 15*o**3 + 12*o**2 - 3*o. Solve d(j) = 0 for j.
-4, -2/7
Let t = -34 - -61. Determine p, given that p**2 + 18*p + 3*p**2 + 0*p**2 + t - p**2 = 0.
-3
Let d(j) be the first derivative of j**3/2 + 9*j**2 + 54*j + 46. Factor d(b).
3*(b + 6)**2/2
Let z(d) be the second derivative of 0*d**2 + 1/10*d**5 + 2/3*d**3 + 0 - 1/2*d**4 - 3*d. Factor z(v).
2*v*(v - 2)*(v - 1)
Let h be (4 + 21/(-6))/(4/48). Let p(i) be the second derivative of 0 + 0*i**5 - 1/105*i**7 + 3*i + 0*i**2 + 0*i**4 + 0*i**h + 0*i**3. Let p(l) = 0. What is l?
0
Let l(u) be the third derivative of -u**5/160 + 5*u**4/32 - 9*u**3/16 + 7*u**2. Factor l(c).
-3*(c - 9)*(c - 1)/8
Let z(r) = 7*r**2 - 12*r + 15. Let j = 2 + 4. Let p(v) = -6*v**2 + 11*v - 14. Let m(i) = j*p(i) + 5*z(i). Let m(b) = 0. Calculate b.
3
Factor -30*z**2 + 36*z - 40 - 33*z + 7*z**3 - 2*z**3 + 57*z.
5*(z - 2)**3
Solve 10*t - 125/3*t**2 + 0 - 15*t**3 = 0 for t.
-3, 0, 2/9
Let v = -14 - -22. Let q be ((-2)/(-3))/(v/3). Find a, given that -1/2*a + 2*a**3 - a**4 - 3/4*a**2 + q = 0.
-1/2, 1/2, 1
Factor 0*f**2 + 3 + 0*f**2 + f**4 + 2*f**4 - 6*f**2.
3*(f - 1)**2*(f + 1)**2
Let d(u) = -u**2 + 5*u - 3. Let c be d(3). Let s be -1 - (9/(-2))/c. Factor 1/4*x**2 - s + 1/4*x.
(x - 1)*(x + 2)/4
Let p(q) be the second derivative of 49*q**6/360 + 7*q**5/30 + q**4/6 - q**3/2 + q. Let g(r) be the second derivative of p(r). Factor g(k).
(7*k + 2)**2
Let o = -84 - -39. Let m = o + 136/3. Factor 0 + 0*c + 1/3*c**4 + 0*c**3 - m*c**2.
c**2*(c - 1)*(c + 1)/3
Let i(t) = t**2. Let x(m) = m**2 - 8*m. Let b(c) = -4*i(c) + x(c). Let a(v) = v**2 + 3*v. Let o(l) = -11*a(l) - 4*b(l). Factor o(s).
s*(s - 1)
Suppose 0 = 8*x - 7*x - 2. Let 8/5 + 2/5*a**x - 8/5*a = 0. Calculate a.
2
Let p(g) be the second derivative of g**6/540 - g**4/108 + g**2 - 3*g. Let j(t) be the first derivative of p(t). Let j(r) = 0. Calculate r.
-1, 0, 1
Find r such that -238/9*r**2 + 40/9*r + 8/9 = 0.
-2/17, 2/7
Let p(t) be the third derivative of -3*t**6/10 - t**5 - 7*t**4/6 - 2*t**3/3 - 5*t**2. Factor p(i).
-4*(i + 1)*(3*i + 1)**2
Let x = 9 + -6. Suppose 16 = x*t - 2*w, 4*t + 0*w - 23 = 3*w. Solve 2*v**2 + 3*v**5 - 8*v**t - 7*v**4 + v - 3*v**4 + 12*v**3 = 0.
0, 1/3, 1
Let h(t) be the third derivative of -t**6/40 - t**5/30 + t**4/3 - 2*t**3 - 4*t**2. Let v(c) = c**3 - c**2 + c + 1. Let m(s) = -h(s) - 4*v(s). Factor m(j).
-(j - 2)**3
Solve -14/11*v**3 + 6/11*v**4 + 6/11*v**2 + 6/11*v - 4/11 = 0.
-2/3, 1
Let u(d) = -d**2 - 12*d - 8. Let c be u(-11). Find j such that -11*j**c + 10*j**3 + 0*j + j + j**2 - 1 = 0.
-1, 1
Let o(g) = 6*g**2 - 17*g + 1. Let c(a) = 15*a**2 - 42*a + 3. Let r(f) = 5*c(f) - 12*o(f). Find t such that r(t) = 0.
1
Let a(r) = 4*r**2 + 2*r - 2. Let b(p) = p**2 + p. Let s(z) = a(z) - 6*b(z). Factor s(q).
-2*(q + 1)**2
Let s(p) be the first derivative of 1/10*p**4 + 4/15*p**3 + 1/5*p**2 + 0*p + 1. Factor s(c).
2*c*(c + 1)**2/5
Suppose 0 = 8*w - 7*w. Suppose w*c + 4 = c. Factor -3/2*g**2 - 1/4*g**c - 1/4 - g**3 - g.
-(g + 1)**4/4
Suppose 0 = -2*o - 3*f + 35, o + 2*f - 25 = 3*f. Let n(w) = -23*w**4 - 3*w**3 - 11. Let l(j) = 6*j**4 + j**3 + 3. Let y(z) = o*l(z) + 6*n(z). Solve y(t) = 0.
0, 2/3
Let i(w) = 2*w**4 - 8*w**3 + 5*w**2 - w - 5. Let n(z) = z**2 - z + 1. Let o(s) = -2*i(s) - 14*n(s). Let o(l) = 0. What 