= 13 - 10. Let k be z/((-4)/(-40)*6). Suppose 0*y - 1/5*y**3 + 1/5*y**4 - 1/5*y**2 + 1/5*y**k + 0 = 0. Calculate y.
-1, 0, 1
Let s(u) be the third derivative of u**5/540 - u**4/54 + 2*u**3/27 - u**2. Let s(p) = 0. What is p?
2
Let a(n) be the first derivative of -5*n**3/3 - 5*n**2 + 21. Factor a(u).
-5*u*(u + 2)
Suppose -7*g + 4 + 10 = 0. Factor -5*a + a**g - 8*a - 3*a + 14*a.
a*(a - 2)
Let p = 44/51 + -10/51. Factor -p*i + 4/3 - 56/3*i**2.
-2*(4*i - 1)*(7*i + 2)/3
Suppose -5*p - 3*t + 30 = 0, 2*p + 3*p - 30 = 4*t. Let y be (3/p - 1)*-6. Find j such that -4 + 40*j - 625/4*j**4 - 150*j**2 + 250*j**y = 0.
2/5
Let j = -65/3 - -22. Let p = 15 + -11. Factor 0 - 1/3*u**p - j*u**3 + 1/3*u**2 + 1/3*u.
-u*(u - 1)*(u + 1)**2/3
Let w be (-1 + 3 + -2)/2. Let j be 5 + -3 - (-2 - w). Let y + j - 4 - y**2 = 0. What is y?
0, 1
Let 62*d**2 - 9*d**3 - 32*d**2 + 3*d**4 + 12*d - 30*d**2 = 0. What is d?
-1, 0, 2
Let s be 13*2/(-10) - -5. Suppose 3/5*g**4 + s*g**3 + 9/5*g**2 - 12/5 - 12/5*g = 0. What is g?
-2, -1, 1
Suppose -5*c - 3 + 0 = -f, -3*c = 3*f - 9. Let n(s) = -s**2 + 5*s - 3. Let p be n(f). Find j such that -1/2*j**p - 1 + 1/2*j + j**2 = 0.
-1, 1, 2
Let t(z) = z**3 + z. Let k(f) = -f**2 - 10*f + 12. Let o be k(-11). Let q be t(o). Factor 1/3*y**q + 4/3*y + 4/3.
(y + 2)**2/3
Let w(m) be the third derivative of 2*m**8/35 - 88*m**7/525 + 17*m**6/100 - 2*m**5/25 + m**4/60 - 16*m**2. Let w(z) = 0. What is z?
0, 1/4, 1/3, 1
Let u(p) be the second derivative of -p**6/300 + p**5/150 - 3*p**2/2 + 2*p. Let y(b) be the first derivative of u(b). What is t in y(t) = 0?
0, 1
Suppose 15 = 5*m - 3*x, -2*m + 4*x = 3*m - 15. Suppose 0*i = m*i. Factor 0*s - 2/3*s**3 - 1/3*s**4 - 1/3*s**2 + i.
-s**2*(s + 1)**2/3
Determine i, given that -i**3 + 0 - 3/4*i**2 + 1/4*i = 0.
-1, 0, 1/4
Let t(d) be the third derivative of -d**8/448 - 3*d**7/280 - 3*d**6/160 - d**5/80 - 2*d**2. Factor t(n).
-3*n**2*(n + 1)**3/4
Let q be 6 - 1/(-3 - -2). Factor 3*r + 1 + q*r**3 - 8*r**3 + 1 - 4.
-(r - 1)**2*(r + 2)
Suppose 4*v - v + 9 = 3*g, 0 = -v. Factor 1/3*o**2 + 0*o + 5/3*o**g + o**5 + 7/3*o**4 + 0.
o**2*(o + 1)**2*(3*o + 1)/3
Factor 32*x**2 + 4*x - 5*x**3 + 10*x**3 - 2 - 6 + 15*x**3.
4*(x + 1)**2*(5*x - 2)
Let g = 872 - 4354/5. Factor -1/5*p**2 - 9/5 - g*p.
-(p + 3)**2/5
Let w(b) = b**2 - 3. Let y be w(-4). Let i = 15 - y. What is v in 0*v**4 + 1/3*v + 1/3*v**5 + 0*v**i - 2/3*v**3 + 0 = 0?
-1, 0, 1
Let w(j) be the second derivative of -j**7/231 + j**6/165 + j**5/110 - j**4/66 + 2*j. What is g in w(g) = 0?
-1, 0, 1
Let x be ((-8)/24)/((-2)/12). Solve 6*r**x + 9*r**4 - 30*r**2 + 12*r - 4*r**3 + 7*r**3 = 0.
-2, 0, 2/3, 1
Let o(g) = -g + 1. Let n(x) = -x**2 + 6*x - 14. Let w(j) = -3*n(j) + 6*o(j). Factor w(i).
3*(i - 4)**2
Determine a so that 2/13*a**2 + 6/13*a + 4/13 = 0.
-2, -1
Let d(n) be the second derivative of n**6/210 + 3*n**5/140 + n**4/28 + n**3/42 + 7*n. Factor d(y).
y*(y + 1)**3/7
Let x(j) be the first derivative of 1 + 3*j**3 + 9/4*j - 15/4*j**2 - 9/8*j**4 + 3/20*j**5. Solve x(v) = 0.
1, 3
Let h(i) be the first derivative of 4/5*i**5 + 3/4*i**4 + 0*i - 2*i**2 + 5 - 4/3*i**3 + 1/6*i**6. Solve h(s) = 0 for s.
-2, -1, 0, 1
Suppose -11*c + 25 - 3 = 0. What is i in 0*i + 1/4*i**3 + 0 + 1/4*i**c = 0?
-1, 0
Solve -2/3*r**3 + 1/3 + 2/3*r**2 - r**4 + r - 1/3*r**5 = 0.
-1, 1
Let u(h) be the first derivative of h**6/24 - h**4/8 + h**2/8 + 54. Factor u(o).
o*(o - 1)**2*(o + 1)**2/4
Suppose -3*u - 12 = g + 4*g, -4*u + 2*g + 10 = 0. Let q = 4 - u. Factor k**4 - 3 + 2*k**2 - 3*k**4 + 3 - k**q + k.
-k*(k - 1)*(k + 1)*(2*k + 1)
Factor 6*h**3 - 7/2*h**4 + 25/2*h**2 + 3*h + 0.
-h*(h - 3)*(h + 1)*(7*h + 2)/2
Let u(a) = a**3 - 5*a**2 - 7*a + 9. Let c be u(6). Let k(o) be the second derivative of 1/12*o**4 - o + 0 + 1/2*o**c + o**2. What is n in k(n) = 0?
-2, -1
Let k be 54/60 + (-6)/(-10). Determine m so that -3/2*m + 0 + k*m**3 + 0*m**2 = 0.
-1, 0, 1
Suppose -10 = -2*t - 2. Let z be (-3)/t - 54/(-36). Suppose -3/4 + 9/4*h - 9/4*h**2 + z*h**3 = 0. What is h?
1
Let n(f) be the third derivative of 2*f**2 + 0 - 1/36*f**4 + 1/90*f**5 + 1/180*f**6 + 0*f - 1/9*f**3. Let n(m) = 0. What is m?
-1, 1
Let u(f) be the second derivative of -1/3*f**3 - 1/6*f**4 + f**2 + 1/10*f**5 + 2*f + 0. Determine w, given that u(w) = 0.
-1, 1
Let w be (-2)/(4/(-12)*2). Factor a**2 + a**4 - 5*a + 2*a**2 + a + 0*a**2 - 4 + 4*a**w.
(a - 1)*(a + 1)*(a + 2)**2
Let h(x) = 3*x**4 + 13*x**3 + 9*x**2 + x + 1. Let b(v) = v**4 - v**3 - v**2 - v - 1. Let g(k) = -b(k) - h(k). Factor g(u).
-4*u**2*(u + 1)*(u + 2)
Let g = -1 - 15. Let f be ((-2)/(-4))/((-2)/g). Solve 4 - f + 0*h**4 + 2*h**2 - 6*h**3 + 4*h**4 = 0 for h.
0, 1/2, 1
Suppose 0*a + 18*a = 4*a. Factor 0*t**2 - 2/9*t**3 - 2/9*t**4 + a*t + 0.
-2*t**3*(t + 1)/9
Let a be ((-3)/(-27))/(84/54)*8. Factor -a*u**2 + 4/7*u + 0.
-4*u*(u - 1)/7
Let k(b) = b**2 - 23*b + 94. Let g be k(5). Find p, given that -10/3*p**4 + g*p**3 + 0 + 2/3*p**5 - 16/3*p + 8/3*p**2 = 0.
-1, 0, 2
Let h(s) = -16*s**5 + 29*s**4 - s**3 - s**2 - s. Let b(c) = -16*c**5 + 28*c**4 - c**3 - 2*c**2 - c. Let z(i) = -5*b(i) + 4*h(i). Factor z(m).
m*(m - 1)**2*(4*m + 1)**2
Let t = 17/30 - 41/390. Find i, given that -2/13*i**2 - t*i - 2/13*i**4 + 4/13 + 6/13*i**3 = 0.
-1, 1, 2
Let y be 1 - (-3)/(-2 - -5). Let z be y*(-2)/(3 + -5). Factor -2/9*j - 2/9*j**z + 0.
-2*j*(j + 1)/9
Factor 1/2*u**4 + 0 + u + 0*u**3 - 3/2*u**2.
u*(u - 1)**2*(u + 2)/2
Let h(z) be the first derivative of -1/7*z**2 - 2/21*z**3 + 0*z + 6/7*z**4 + 4. Solve h(q) = 0 for q.
-1/4, 0, 1/3
Factor -2/3*j**4 - 2/9*j**2 + 0 + 0*j + 2/3*j**3 + 2/9*j**5.
2*j**2*(j - 1)**3/9
Let v = 59 + -56. Let h = -4 + 6. Solve h*x**2 + 2/3*x**v + 2*x + 2/3 = 0.
-1
Let z(p) be the third derivative of -p**6/900 + p**5/100 - p**4/30 + 2*p**3/3 + 4*p**2. Let t(u) be the first derivative of z(u). What is c in t(c) = 0?
1, 2
Let s(i) = -14*i**3 + 19*i**2 + 7*i - 11. Let g(m) = m**3 - m**2 - m + 1. Let q(d) = -44*g(d) - 4*s(d). Find u, given that q(u) = 0.
0, 2/3, 2
Let x(t) be the first derivative of -2*t**3/3 - 3*t**2/4 + t/2 + 11. Factor x(s).
-(s + 1)*(4*s - 1)/2
Let j(k) be the first derivative of -k**6/9 - 16*k**5/45 - k**4/3 + k**2/9 + 16. Factor j(c).
-2*c*(c + 1)**3*(3*c - 1)/9
Determine y, given that 0 - 14/3*y**3 - 2/3*y**5 - 2/3*y - 3*y**2 - 3*y**4 = 0.
-2, -1, -1/2, 0
Let u(n) be the third derivative of n**6/30 + n**5/5 + 33*n**2. Factor u(x).
4*x**2*(x + 3)
Factor 17/3*t**2 - 1/6*t**3 + 0 - 289/6*t.
-t*(t - 17)**2/6
Let 4*u**2 - 3 + 5*u**4 - 16 - 34*u**2 + 4 - 40*u = 0. What is u?
-1, 3
Let l = 914 - 82259/90. Let k(j) be the second derivative of -2*j + 0*j**2 + 1/135*j**6 + 0 + 1/27*j**3 - 1/54*j**4 - l*j**5. Factor k(y).
2*y*(y - 1)**2*(y + 1)/9
Let b(n) = -n**3 - 2*n**2 - n - 1. Let j be b(-2). Suppose 2 + j = 4*t - 3*z, 2 = -4*t - 2*z. Let -2*l**3 + 2/3*l**4 + 2*l**2 - 2/3*l + t = 0. What is l?
0, 1
Let n = 194/45 + -34/9. Find l such that -n*l**2 - 2/15 + 8/15*l = 0.
1/2
Let o(i) = i**5 + i**4 + i**2 + i - 1. Let c(y) = 6*y**5 - 26*y**4 - 16*y**3 + 10*y**2 - 6*y + 6. Let w(s) = c(s) + 6*o(s). What is u in w(u) = 0?
-1, 0, 2/3, 2
Let 0 + 0*x + 3/8*x**4 - 3/4*x**3 + 3/8*x**2 = 0. Calculate x.
0, 1
Let p(v) = -v**2 - v. Let t(a) = -a**3 + 6*a**2 + 7*a. Let n = -55 + 91. Let c(l) = n*p(l) + 4*t(l). Factor c(o).
-4*o*(o + 1)*(o + 2)
Let q(t) be the second derivative of -5*t**4/12 - 40*t**3/3 - 160*t**2 - 29*t. Factor q(b).
-5*(b + 8)**2
Let u(s) be the second derivative of -s**7/126 + s**5/15 + s**4/18 - s**3/6 - s**2/3 + 6*s. Solve u(t) = 0 for t.
-1, 1, 2
Let u(h) be the third derivative of 0*h**6 - h**2 + 0*h + 0 + 0*h**3 + 0*h**4 + 1/1050*h**7 + 0*h**5. Determine z, given that u(z) = 0.
0
Let r(w) = -w**3 + 2*w**2 + 4*w. Let n be r(3). Determine i, given that -2*i**n - 2 + 5*i**2 + 2 - i**2 = 0.
0, 2
Let g be 294/10 + 17 + -14. Determine f, given that 72/5*f + g*f**2 + 8/5 = 0.
-2/9
Let o be (1 - 0)/((-2)/(-6)). Solve b + 2*b**o - 4*b + 6*b**2 + 4*b + 3*b = 0 for b.
-2, -1, 0
Let m(u) = u**2 - 8*u + 14. Let l be m(6). Factor 0 + 1/6*o**3 - 1/6*o**l - 1/3*o.
o*(o - 2)*(o + 1)/6
Let i(n) be the first derivative of n**6/27 - 2*n**5/45 - n**4/9 + 4*n**3/27 + n**2/9 - 2*n/9 - 1. Let i(h) = 0. What is h?
-1, 1
Solve -6/11*c**2 - 2/11*c**3 - 6/11*c - 2/11 = 0.
-1
Let m(y) be the t