 2/3*i**2 + 1/3*i**4 + 0*i + 1/3*i**3 = 0. Calculate i.
-2, 0, 1
Let g be ((-98)/21)/((-4)/6). Let d = g + -7. Factor 0*v - 2/3*v**3 + d + 0*v**2.
-2*v**3/3
Let f = 1 - -2. Let q be 7 + -1*(7 - 4). Determine y, given that 4/5*y**q - 2/5*y**5 - 2/5*y + 4/5*y**f - 8/5*y**2 + 4/5 = 0.
-1, 1, 2
Let u be (-2)/(-4)*(-14 + -2). Let x(q) = q + 2*q**2 + 9*q + q**2 - q. Let l(i) = 5*i**2 + 14*i. Let n(b) = u*x(b) + 5*l(b). Find p such that n(p) = 0.
0, 2
Let y be (0/(-3 + -3))/(-2). Factor 9/2*w**4 + 3/2*w + y + 21/2*w**3 + 15/2*w**2.
3*w*(w + 1)**2*(3*w + 1)/2
Let a(g) be the first derivative of 4*g**6/51 + 6*g**5/85 - 4*g**4/17 - 4*g**3/17 + 4*g**2/17 + 6*g/17 + 27. Determine i, given that a(i) = 0.
-1, -3/4, 1
Let d = 51 + -48. Factor 0 + 2/3*s**2 + 2/3*s**d - 4/3*s.
2*s*(s - 1)*(s + 2)/3
Factor 1/4*w + 0 - 1/4*w**2.
-w*(w - 1)/4
Let k(j) be the first derivative of -j**5/30 + j**4/12 - j**2 - 3. Let n(d) be the second derivative of k(d). Factor n(g).
-2*g*(g - 1)
Let o(j) be the first derivative of 2/7*j - 2/7*j**2 + 2/21*j**3 - 3. Determine q, given that o(q) = 0.
1
Suppose 0*n - 5*n = -10. Let c(w) be the second derivative of 0 - 1/3*w**3 - n*w + 0*w**2 - 1/3*w**4 - 1/10*w**5. Factor c(l).
-2*l*(l + 1)**2
Suppose -2*x = 2*x - 12*x. What is g in 1/2*g**2 + x + 1/2*g**4 + g**3 + 0*g = 0?
-1, 0
Let g(l) be the first derivative of 2*l**5/75 - l**4/30 - 2*l**3/45 + l**2/15 + 40. Determine h so that g(h) = 0.
-1, 0, 1
Factor -4*d**4 - 4*d**2 - 345 + 345 - 8*d**3.
-4*d**2*(d + 1)**2
Let t(f) = -f**3 + 14*f**2 + 15*f + 4. Suppose 17 - 2 = s. Let a be t(s). Find w such that 1/4*w**2 - 1/4*w**5 + 0 + 1/4*w**3 + 0*w - 1/4*w**a = 0.
-1, 0, 1
Let c = 30/7 - 4. Suppose 0 - c*n**2 + 2/7*n = 0. Calculate n.
0, 1
Factor 0 + 2/3*h + 2/3*h**2.
2*h*(h + 1)/3
Let c(s) be the first derivative of 2 - 1/5*s**4 + 0*s**5 - 2/5*s + 3/10*s**2 + 1/30*s**6 + 2/15*s**3. Factor c(j).
(j - 1)**3*(j + 1)*(j + 2)/5
Let v be (3/(-36)*3)/(-5). Let b(k) be the first derivative of 2 - 1/4*k**3 + 1/8*k**2 + 0*k - v*k**5 + 3/16*k**4. Factor b(n).
-n*(n - 1)**3/4
Suppose -5*k = -128 + 8. Let w = k + -24. Factor -2/5 + 2/5*b**2 + w*b.
2*(b - 1)*(b + 1)/5
Let j(h) be the third derivative of h**8/336 - 2*h**7/105 + h**6/30 - 4*h**2 + 8. Factor j(a).
a**3*(a - 2)**2
Let f(q) = q**2 + 3*q + 1. Let x be f(-4). Suppose 36 = 4*u + b + 8, x*u + 5*b = 50. Solve d**3 + u - 6 - d = 0 for d.
-1, 0, 1
Let m(q) = q + 1. Let p(n) = -4*n**4 + n**3 - 4*n - 4. Suppose 0 = -8*d + 5*d - 5*s + 3, -13 = d - 3*s. Let u(f) = d*m(f) - p(f). Suppose u(t) = 0. What is t?
0, 1/4
Let q = 2517/40 - 249/4. Let h(c) be the third derivative of 9/16*c**6 + 0*c + 0 - 2*c**2 - q*c**5 + c**3 - 1/2*c**4. Solve h(f) = 0.
-2/5, 1/3, 2/3
Determine s, given that -6 + 3/4*s**3 + 9/2*s**2 - 3*s - 3/4*s**4 = 0.
-2, -1, 2
Let q(t) be the first derivative of t**4/6 + 10*t**3/9 + 4*t**2/3 + 34. Determine d so that q(d) = 0.
-4, -1, 0
Suppose 5 = 5*l - 2*c, -4*l + 2*c + 8 = 4. Factor -l + 2 + 7 - 20*f + 12*f**2.
4*(f - 1)*(3*f - 2)
Let t(p) be the third derivative of -1/150*p**5 + 0*p - 2*p**2 + 2/15*p**3 + 0 + 1/60*p**4. Factor t(w).
-2*(w - 2)*(w + 1)/5
Let 10/11*i**2 - 4/11*i + 0 + 14/11*i**3 = 0. Calculate i.
-1, 0, 2/7
Let d(a) be the second derivative of -a**5/40 + 5*a**4/24 - 2*a. Factor d(z).
-z**2*(z - 5)/2
Let m be 0 - 0 - (-3 - -4). Let v(d) = -2*d. Let i be v(m). Factor 6*l - 3*l - l**2 + 0*l**2 + 0*l - i.
-(l - 2)*(l - 1)
Factor -4*h - 16 - 1/4*h**2.
-(h + 8)**2/4
Factor 3/5*q**2 + 24/5 + 18/5*q.
3*(q + 2)*(q + 4)/5
Let t be 0 + 4 + 1/(-1). Suppose -i + 0*i - 10 = 3*a, 2*i - 25 = t*a. Determine c, given that -2*c**2 - 6*c**i + 9*c**2 + 2*c**3 - 3*c**2 - 8*c**4 = 0.
-1, 0, 2/3
Let p(i) be the first derivative of -7*i**5/5 + 5*i**4/4 + 16*i**3/3 + 2*i**2 - 4. Factor p(j).
-j*(j - 2)*(j + 1)*(7*j + 2)
Let p(v) be the third derivative of v**9/141120 + v**8/47040 - v**7/11760 - v**6/1680 - v**5/15 - 2*v**2. Let m(k) be the third derivative of p(k). Factor m(y).
3*(y - 1)*(y + 1)**2/7
Let i(q) = q - 1. Let z(l) = 2*l**2 - 6*l + 12. Let h = -27 + 15. Let t(c) = h*i(c) - z(c). Suppose t(v) = 0. Calculate v.
-3, 0
Suppose 2*c - 3 = 3. Suppose -c*a = -0*a. Suppose -4/5*s**3 - 2/5*s**2 + a*s - 2/5*s**4 + 0 = 0. What is s?
-1, 0
Let p = 119 - 355/3. Find t such that p*t**5 + 0*t**2 + 0 - 2/3*t**4 + 0*t + 0*t**3 = 0.
0, 1
Determine s, given that -5*s**3 + 0 - s - 10*s + 7*s**2 + 4*s**3 + 5 = 0.
1, 5
Let k(v) be the second derivative of -v**9/1260 + v**7/280 - v**6/240 + v**4/4 + v. Let g(r) be the third derivative of k(r). Factor g(h).
-3*h*(h + 1)*(2*h - 1)**2
Let o(y) = 15*y**2 + 129*y. Let j(n) = 4*n**2 + 3*n - 2*n**2 + 5*n - n**2. Let w(k) = -33*j(k) + 2*o(k). Factor w(b).
-3*b*(b + 2)
Let u(n) = -n**5 - 4*n**4 - n**3. Let g(j) = -4*j**5 - 16*j**4 - 3*j**3. Let h(v) = 2*g(v) - 9*u(v). Let h(b) = 0. What is b?
-3, -1, 0
Suppose 0 = h + 2*h - 3*x, -h + 4*x = 9. Suppose u + 5*j = 4, 0*j - 3*j = h*u - 12. Solve 0 + 32/9*o**3 - 14/9*o**u + 4/9*o - 22/9*o**2 = 0.
0, 2/7, 1
Let s(y) be the third derivative of y**7/420 + y**6/80 + y**5/40 + y**4/48 - 12*y**2. Solve s(i) = 0.
-1, 0
Let p(i) be the third derivative of -5*i**8/336 + 2*i**7/21 - i**6/12 - i**5/3 + 5*i**4/8 - 11*i**2. Find j such that p(j) = 0.
-1, 0, 1, 3
Let d(r) be the first derivative of -r**4/2 + 3*r**2 - 4*r - 2. Let d(p) = 0. Calculate p.
-2, 1
Factor 1/4*z**2 + 1/4*z + 0.
z*(z + 1)/4
Find r such that 16/7*r - 4/7*r**2 + 0 = 0.
0, 4
Suppose -5*u - 40 = 4*j, u - 5*u + 4 = -4*j. Let n be 1/(-2)*30/j. Factor 0 + 2/3*a + 5/3*a**2 + a**n.
a*(a + 1)*(3*a + 2)/3
Suppose 0 = 6*h - h - 15. Let m be 7 + (h - 2 - 4). Factor -20/7*s**2 + 8/7*s**m - 2/7*s**5 + 16/7 - 2/7*s**3 + 8/7*s.
-2*(s - 2)**3*(s + 1)**2/7
Let x(c) be the second derivative of c**6/60 + 7*c**5/60 + c**4/18 - 5*c**3/6 + 3*c**2/4 - 28*c. Factor x(u).
(u - 1)*(u + 3)**2*(3*u - 1)/6
Let h(c) be the third derivative of c**6/40 - c**5/20 - 7*c**2. Find t such that h(t) = 0.
0, 1
Find a, given that 0 + 4/5*a**2 + 2/5*a**3 + 0*a = 0.
-2, 0
Let 8*r**2 - 6*r**2 + 8*r + 14 - 8 = 0. What is r?
-3, -1
Let r(p) = -2*p**5 - 6*p**4 - 13*p**3 - 17*p**2 - 9*p - 1. Let t(f) = 2*f**5 + 7*f**4 + 14*f**3 + 16*f**2 + 8*f + 1. Let x(o) = 4*r(o) + 6*t(o). Factor x(z).
2*(z + 1)**4*(2*z + 1)
Let x(f) = -f**3 - 12*f**2 - 13*f - 22. Let m be x(-11). Let u(o) be the third derivative of -3*o**2 + 0*o + 0*o**3 + m + 0*o**4 - 1/120*o**5. Factor u(i).
-i**2/2
Factor 35*s**3 - 2*s + 2*s**2 - 33*s**3 - 2*s.
2*s*(s - 1)*(s + 2)
Factor 0*k - 4/13*k**3 + 2/13 - 6/13*k**2.
-2*(k + 1)**2*(2*k - 1)/13
Let p(j) be the first derivative of -1/12*j**3 - 1/16*j**4 + 0*j - 1 + 0*j**2. Suppose p(b) = 0. Calculate b.
-1, 0
Let i(c) = -c**5 - c**4 - c**2 - c - 1. Let o(l) = 4*l**5 + 3*l**4 + 7*l**2 + 6*l + 5. Let t(d) = 5*i(d) + o(d). Factor t(n).
-n*(n - 1)*(n + 1)**3
Let p(t) be the third derivative of 1/180*t**6 + 1/108*t**4 + 3*t**2 + 0*t**3 + 1/945*t**7 + 0 + 0*t + 1/90*t**5. Factor p(l).
2*l*(l + 1)**3/9
Let v(h) = -h + 7. Let m be v(5). What is o in 3 + 4*o**3 + 0*o**3 - o**4 - 6*o**m - 5 + 1 + 4*o = 0?
1
Let g(b) be the second derivative of -3*b - 1/54*b**4 + 0 - b**2 + 2/9*b**3. Solve g(a) = 0.
3
Let f be -2 - (2 + 3*-2). Factor -f*j**2 + 3*j - 3 + 2*j - 1 + j.
-2*(j - 2)*(j - 1)
Let -9*u**3 - 5*u**2 - 3*u**5 - u**2 - 9*u**4 + 4*u**2 - u**2 = 0. Calculate u.
-1, 0
Let w(j) be the second derivative of 4*j - 1/147*j**7 + 1/105*j**6 + 0*j**3 + 0 - 1/42*j**4 + 1/70*j**5 + 0*j**2. Factor w(y).
-2*y**2*(y - 1)**2*(y + 1)/7
Suppose -4*f + o = -2 - 5, 3*f = 5*o - 16. Factor 9/4*m**3 + 3/4*m + 0 - f*m**2.
3*m*(m - 1)*(3*m - 1)/4
Suppose 5016 = 7*t + 4995. Factor 9/2*w - 3/2*w**2 - t.
-3*(w - 2)*(w - 1)/2
Let l(s) = -s**2. Let a(h) = h**5 + h**4 + 11*h**2. Let z(w) = -4*a(w) - 44*l(w). Factor z(x).
-4*x**4*(x + 1)
Let x(n) be the second derivative of n**4/54 - n**3/9 - 3*n. What is d in x(d) = 0?
0, 3
Let u = 5/8 - -1/24. Let c be (10/(-9))/((-28)/(-12) - 3). Factor c*l**3 + 0 - l**2 - u*l.
l*(l - 1)*(5*l + 2)/3
Let k(t) = -4*t**3 + 8*t**2 - 4*t + 5. Let b(a) = 8*a**2 - a**3 - 4 + 4*a - 16*a**2 + 5*a**3. Let o(f) = 5*b(f) + 4*k(f). Factor o(q).
4*q*(q - 1)**2
Suppose -5/2*t**3 + 0 + 0*t + 1/3*t**2 + 8/3*t**5 + 4*t**4 = 0. What is t?
-2, 0, 1/4
Let z(i) = 5*i**2