0*v + 3/4*v**3 = 0.
-2, -1, 0
Let i = 1185 - 1183. What is u in 1/2*u**i + 0*u + 0 = 0?
0
Factor 5*v**2 + 5/3*v**4 - 5/3*v + 0 - 5*v**3.
5*v*(v - 1)**3/3
Factor -2/5*q**2 - 2/5*q**3 + 2/5 + 2/5*q.
-2*(q - 1)*(q + 1)**2/5
Let z(j) = -j**2 - 9*j + 12. Let y be z(-10). Factor -28*t**2 + t + 2*t + 31*t**y.
3*t*(t + 1)
Let f(v) be the second derivative of 8/3*v**3 - 4*v + 175/6*v**7 - 28/3*v**6 + 8/3*v**4 + 0 + 0*v**2 - 66/5*v**5. Determine y so that f(y) = 0.
-2/7, 0, 2/5
Let k = -20/89 - -1078/4005. Let j(r) be the second derivative of 1/6*r**2 + 2/9*r**3 - 2*r + 1/12*r**4 - k*r**6 + 0 - 1/15*r**5. What is y in j(y) = 0?
-1, -1/2, 1
Let g = -2 - -9. Suppose -4*a + g*v - 3*v + 20 = 0, -5*v = 2*a - 10. Suppose 2/3*c**a + 2*c**3 - 8/3*c**4 + 8/3*c**2 + 0 - 8/3*c = 0. Calculate c.
-1, 0, 1, 2
Let c**3 + 5*c**4 - 8*c + 7*c**3 - 4 - c**4 = 0. Calculate c.
-1, 1
Let h = 467 + -2801/6. Factor 1/3 - 1/6*r**2 - h*r.
-(r - 1)*(r + 2)/6
Suppose -36*a = 6*a - 84. Factor 1/3 + 1/3*w**3 + w + w**a.
(w + 1)**3/3
Let d = -8 - -13. Factor d*q + q + 9*q**2 + 5*q**4 - 8*q**4.
-3*q*(q - 2)*(q + 1)**2
Let -4/3 + 2/3*f**3 - 11*f**2 + 11/3*f**4 - 28/3*f = 0. Calculate f.
-1, -2/11, 2
Let u(x) be the second derivative of -x**8/3360 - x**7/1260 - x**4/3 + x. Let j(m) be the third derivative of u(m). Let j(c) = 0. Calculate c.
-1, 0
Let h be (-2)/(-8) - (-1)/((-24)/(-26)). Factor -10/3*m**5 + 64/3*m**2 + 44/3*m**4 - 76/3*m**3 - 26/3*m + h.
-2*(m - 1)**4*(5*m - 2)/3
Let p be (2 - 1) + 1 + 1. Determine b, given that 6*b**3 - 9*b**2 + 4*b - p*b**2 - 6*b**3 - 7*b**3 = 0.
-2, 0, 2/7
Let t(d) = -d - 1. Let c be t(5). Let p be (2/c)/((-2)/9). Let 3/2*f - p*f**2 + 1/2*f**3 - 1/2 = 0. Calculate f.
1
Let f = 38 - 36. Let t(v) = -v**2 - 8*v - 4. Let z be t(-7). Solve 6/5*u**z - 2/5 - 8/5*u**4 + 2*u**f - 6/5*u = 0 for u.
-1, -1/4, 1
Let u(r) be the first derivative of -3*r**4/4 + r**3 + 3*r**2/2 - 3*r - 13. Determine t so that u(t) = 0.
-1, 1
Let c = 137/10 - 66/5. Let z(n) be the third derivative of 0 - 2*n**3 - 3/35*n**7 + 7/40*n**6 - n**2 + 13/20*n**5 + 0*n - c*n**4. What is g in z(g) = 0?
-1, -1/2, 2/3, 2
Let o be (0 + 1 + -1)*1. Let a(h) be the first derivative of 1/6*h**3 - 1 - 1/2*h**4 + 1/2*h**5 + 0*h + o*h**2 - 1/6*h**6. Factor a(q).
-q**2*(q - 1)**2*(2*q - 1)/2
Suppose -20/3*j**4 + 11*j**3 + j**5 + 16/3 + 4/3*j**2 - 12*j = 0. Calculate j.
-1, 2/3, 1, 2, 4
Let j(n) be the second derivative of -n**6/105 - n**5/14 - 3*n**4/14 - n**3/3 - 2*n**2/7 - 9*n. Solve j(a) = 0 for a.
-2, -1
Let z(c) be the first derivative of c**5/210 + c**4/84 - 2*c**3/21 + c**2 - 1. Let n(p) be the second derivative of z(p). Suppose n(v) = 0. What is v?
-2, 1
Let g = -5 + 10. Let i(w) = -2 + g - 9*w + 7*w**2 - 1. Let v(z) = 8*z**2 - 10*z + 2. Let r(t) = -6*i(t) + 5*v(t). Factor r(u).
-2*(u - 1)**2
Let h be -1*(-4)/(-72) - (-1)/6. Let t(c) be the second derivative of 0 + 7/36*c**4 - h*c**3 - 4*c + 1/30*c**5 + 0*c**2 - 7/90*c**6. Factor t(z).
-z*(z - 1)*(z + 1)*(7*z - 2)/3
Suppose -3*u**2 - 4*u**3 + 3*u**2 + 2*u**3 - 2 - u**2 + 5*u = 0. What is u?
-2, 1/2, 1
Factor -22 + 4 + 24*m - 12 - 4*m**2 - 6.
-4*(m - 3)**2
Let u(f) = f**2 - 20*f + 25. Let k(w) = w**2. Let s(h) = 6*k(h) - u(h). Factor s(y).
5*(y - 1)*(y + 5)
Let r(i) be the third derivative of -i**8/2016 - i**7/1260 - 18*i**2. Factor r(x).
-x**4*(x + 1)/6
Let i be (-49)/(-14) - 2/(-4). Let 0*b**2 + b**5 - 2*b**2 + 5*b + 2*b**i - 6*b = 0. What is b?
-1, 0, 1
Let u(c) be the third derivative of c**7/140 + c**6/180 + 3*c**3/2 + c**2. Let x(l) be the first derivative of u(l). Factor x(v).
2*v**2*(3*v + 1)
Suppose 11*n**2 - n - n - 2*n**2 - 2 - 6*n**3 + n**2 = 0. Calculate n.
-1/3, 1
Let o(z) be the third derivative of z**7/105 + z**6/30 - z**5/30 - z**4/6 - 3*z**2. Determine q, given that o(q) = 0.
-2, -1, 0, 1
Factor 0*k - 4*k**4 + 0*k**2 + 0 + 20/7*k**5 + 8/7*k**3.
4*k**3*(k - 1)*(5*k - 2)/7
Let y = -6 + 8. Let m be (3 + -6)*y/(-9). Factor 4/3 - m*t + 26/3*t**3 - 10/3*t**4 - 6*t**2.
-2*(t - 1)**3*(5*t + 2)/3
Suppose -j + 3 = -1. Suppose 0 = -p + 3*s - j, 5*p - 4 = -s + 4*s. Solve -p*z**3 - z + z = 0.
0
Determine b, given that 2/7 + 1/7*b - 1/7*b**2 = 0.
-1, 2
Let r(w) be the first derivative of 2*w**2 + 2*w + 2/3*w**3 - 6. Determine m, given that r(m) = 0.
-1
Let y = 68363 - 477580/7. Let s = y - 137. Factor 2/7*t**4 - s - 4/7*t**3 + 4/7*t + 0*t**2.
2*(t - 1)**3*(t + 1)/7
Let b(i) be the third derivative of i**2 + 0*i - 1/6*i**4 + 4/3*i**3 + 0 - 4/15*i**5 + 1/10*i**6. Factor b(u).
4*(u - 1)**2*(3*u + 2)
Find i, given that 17/2*i**3 - 321/8*i**2 + 34*i - 8 - 1/2*i**4 = 0.
1/2, 8
Let r(c) = -14*c**2 + 2*c + 12. Let i(d) = d**2 - 1. Let a(b) = -18*i(b) - 2*r(b). Factor a(w).
2*(w - 1)*(5*w + 3)
Let r = 11 - -2. Suppose -5*z = 2*q - 10, 0*q = -2*z + q + r. Determine h so that -2*h**2 + 2*h**2 + 2*h**2 + z + 4*h - 2 = 0.
-1
Let h(j) be the first derivative of -5*j**4/4 + 5*j**3 - 15*j**2/2 + 5*j - 8. Factor h(q).
-5*(q - 1)**3
Let z(h) be the third derivative of h**6/40 + h**5/20 - h**4 - 6*h**3 - 21*h**2. Suppose z(n) = 0. What is n?
-2, 3
Let n(v) be the second derivative of -v**7/1680 - v**6/240 - v**5/80 - v**4/48 - 2*v**3/3 - 3*v. Let y(m) be the second derivative of n(m). Factor y(h).
-(h + 1)**3/2
Suppose -42 = -8*b + 9*b. Let m be ((-8)/(-6))/(b/(-9)). Suppose 0*q + m*q**4 - 2/7*q**3 + 0 + 0*q**2 = 0. Calculate q.
0, 1
Let v be (136/(-32) + 4)/(3/(-8)). Factor 1/3*i + 0 + 1/3*i**2 - v*i**3.
-i*(i - 1)*(2*i + 1)/3
Let d(g) be the first derivative of g**7/1050 + g**6/600 - g**5/300 - g**4/120 + g**2 - 4. Let u(s) be the second derivative of d(s). Factor u(r).
r*(r - 1)*(r + 1)**2/5
Let v(f) = -14*f**2 + 11*f + 17. Let m(r) = -5*r**2 + 4*r + 6. Let b(u) = -17*m(u) + 6*v(u). Let a be b(3). Suppose -a + 6*i - 2*i**2 + 2 - 3 = 0. What is i?
1, 2
Let q(g) be the first derivative of g**4/2 + 4*g**3 + 9*g**2 - 13. Factor q(d).
2*d*(d + 3)**2
Let l(i) be the first derivative of -2*i**5/55 - i**4/11 - 2*i**3/33 - 14. Factor l(p).
-2*p**2*(p + 1)**2/11
Let k(q) be the second derivative of -1/2*q**3 - 1/12*q**4 - 2*q - q**2 + 0. Solve k(p) = 0.
-2, -1
Factor -14/9*q + 0 - 37/9*q**2 - 5/9*q**3.
-q*(q + 7)*(5*q + 2)/9
Let f(v) be the third derivative of -v**8/294 + 2*v**7/735 + v**6/210 + 14*v**2. Factor f(y).
-4*y**3*(y - 1)*(2*y + 1)/7
Let f be 132/165*(-10)/(-4). Factor 0 - 1/3*t**f + 0*t.
-t**2/3
Let i(f) = f**2 - f - 1. Let j(q) be the second derivative of -2*q**4/3 + 2*q**3 + 5*q**2 + 4*q. Let w(y) = 10*i(y) + j(y). What is u in w(u) = 0?
-1, 0
Let v(x) be the second derivative of 0*x**3 + 0 + x + 3/2*x**2 - 1/4*x**4. Factor v(r).
-3*(r - 1)*(r + 1)
Let k(r) be the second derivative of r**8/168 + r**7/35 + r**6/20 + r**5/30 - r**2/2 + 4*r. Let x(o) be the first derivative of k(o). Factor x(v).
2*v**2*(v + 1)**3
Suppose -3*a + 7*a - 8 = 0. Let f(v) be the second derivative of a*v + 1/3*v**3 - 5/12*v**4 + 0 + 0*v**2 - 3/20*v**5. Let f(s) = 0. What is s?
-2, 0, 1/3
Let t = -13 + 18. Determine q so that -8*q**5 + t*q**3 + 11*q**5 - 11*q**3 + 3*q = 0.
-1, 0, 1
Let a(w) be the third derivative of 0 + 1/840*w**7 + 0*w**6 + 0*w - 1/120*w**5 - 2*w**2 + 0*w**4 + 1/24*w**3. Let a(f) = 0. What is f?
-1, 1
Let p(h) be the third derivative of -4/105*h**7 + 0*h**4 - 1/30*h**6 + 0*h**3 - 1/84*h**8 + 0 + 3*h**2 + 0*h + 0*h**5. Factor p(i).
-4*i**3*(i + 1)**2
Let y(j) be the second derivative of j**4/36 - 4*j**3/9 + 8*j**2/3 + 9*j. Suppose y(x) = 0. Calculate x.
4
Let b be ((-40)/910)/((-4)/14 + 0). Let 2/13*j**4 + 0 + b*j**2 + 0*j - 4/13*j**3 = 0. What is j?
0, 1
Suppose 0 = -o + 32 - 11. Let u be (3 - o/6)*-1. Factor 2*w**3 - u - w**2 + 3/2*w**4 - 2*w.
(w - 1)*(w + 1)**2*(3*w + 1)/2
Let s = -2 - -4. Let v(a) = -a**2. Let j(r) = r**2 - r - 2. Let n(l) = j(l) + 2*v(l). Let k(f) = -f**2. Let x(z) = s*k(z) - n(z). Suppose x(u) = 0. Calculate u.
-1, 2
Let w be ((-1)/8)/((-4)/8). Factor 0*x - w*x**3 + 1/4*x**2 - 1/4*x**4 + 1/4*x**5 + 0.
x**2*(x - 1)**2*(x + 1)/4
Let b(t) = 18*t**4 + 36*t**3 + 44*t**2 - 26*t + 26. Let d(k) = -11 + 16 - 8 - 5*k**2 - 4*k**3 - 2*k**4 + 3*k. Let m(g) = -6*b(g) - 52*d(g). Factor m(n).
-4*n**2*(n + 1)**2
Suppose 2*m - f + 3 = 0, -m + 0*m = 5*f - 26. Let k be (0 + (2 - -1))*m. Factor 2 + 0 - 2*s**k - 2 + 2*s.
-2*s*(s - 1)*(s + 1)
Let v(r) = 2*r**2 