t k be (-78)/(-90) - 2/10. Let o(i) be the first derivative of k*i - 2/15*i**5 + 2 - 2/3*i**2 + 1/3*i**4 + 0*i**3. Let o(n) = 0. What is n?
-1, 1
Let j be 2 + -1 + 2 + 328/(-112). Let z(k) be the second derivative of -4/7*k**2 - 1/70*k**5 + 0 + j*k**4 - k + 0*k**3. Factor z(a).
-2*(a - 2)**2*(a + 1)/7
Solve 0*y**3 + 2*y**3 + 2*y**3 + 8*y + 4*y**2 - 8*y**3 = 0.
-1, 0, 2
Let k be ((-3)/30)/(7/28). Let h = k + 9/10. Factor -h - 1/2*o**2 + o.
-(o - 1)**2/2
Let x = 62/9 + -664/99. Suppose -2/11*s - 2/11*s**4 + x*s**3 + 2/11*s**2 + 0 = 0. What is s?
-1, 0, 1
Let x be (-77)/(-22) + (-3)/6. Let o(y) be the first derivative of 0*y**2 - 1/5*y - x + 1/15*y**3. Suppose o(h) = 0. Calculate h.
-1, 1
Let u be 6/(-9) - (-122)/180. Let y(g) be the second derivative of 0 + 1/27*g**4 - u*g**5 + 0*g**2 - g - 1/27*g**3. Suppose y(b) = 0. What is b?
0, 1
Let u = 4/7 - 9/28. Solve u + 3/4*f + 1/4*f**3 + 3/4*f**2 = 0.
-1
Let g = 0 - -2. Let r = -55 + 167/3. Suppose 0 - 2*y - 4/3*y**g + r*y**3 = 0. Calculate y.
-1, 0, 3
Let x(q) be the second derivative of 0 + 1/42*q**4 + 0*q**3 + 3*q - 1/105*q**6 + 0*q**2 + 0*q**5. Factor x(f).
-2*f**2*(f - 1)*(f + 1)/7
Find i, given that 100/3*i**5 - 730/3*i**4 + 184*i - 1514/3*i**2 + 1736/3*i**3 - 24 = 0.
2/5, 1/2, 3
Let x(h) be the third derivative of 1/240*h**5 + 0*h + 1/32*h**4 - 3*h**2 - 1/160*h**6 + 0 - 1/24*h**3. Solve x(z) = 0.
-1, 1/3, 1
Let g(b) be the third derivative of -b**8/56 - b**7/15 - 13*b**6/240 + b**5/40 - 21*b**2. Find z such that g(z) = 0.
-3/2, -1, 0, 1/6
Let r(i) be the first derivative of 1 + 4/3*i - 8/3*i**2 + 5/9*i**3 + 25/12*i**4. Factor r(b).
(b + 1)*(5*b - 2)**2/3
Let d(y) be the third derivative of -y**6/660 - y**5/22 - 4*y**4/11 + 64*y**3/33 - 5*y**2. Let d(k) = 0. Calculate k.
-8, 1
Let h(b) be the first derivative of b**7/735 + b**6/420 - b**5/70 - b**4/84 + 2*b**3/21 - 3*b**2/2 + 1. Let o(m) be the second derivative of h(m). Factor o(z).
2*(z - 1)**2*(z + 1)*(z + 2)/7
Let j = 171 + -167. Factor -5/3*b**j + 0*b + 0 + b**5 + 1/3*b**2 + 1/3*b**3.
b**2*(b - 1)**2*(3*b + 1)/3
Suppose 4*g - 13 = -3*v, g + 0*g = 2*v + 6. Let q(h) be the second derivative of -3*h**2 + 3/2*h**3 - 9/20*h**5 + 1/10*h**6 + 1/4*h**g - h + 0. Factor q(x).
3*(x - 2)*(x - 1)**2*(x + 1)
Let a = 47/4 - 603/52. Factor a*d**2 - 4/13 + 2/13*d.
2*(d - 1)*(d + 2)/13
Let q(w) = -w**2 + 2*w - 1. Let y be q(1). Suppose 0 = r + 5, 18 = -y*d - d - 4*r. Suppose 2*t**2 - d*t**3 + 7*t**2 + 9*t**3 + 5*t - 3*t = 0. What is t?
-1, -2/7, 0
Suppose 7*u = -u. Let a(q) be the third derivative of 0*q**3 - q**2 - 1/30*q**5 + 0*q + u*q**4 + 0. Factor a(c).
-2*c**2
Let r(m) = -9*m**4 - 81*m**3 - 51*m**2 + 21. Let s(h) = -h**4 - 8*h**3 - 5*h**2 + 2. Suppose 4*k - 7 = 1. Let x(u) = k*r(u) - 21*s(u). Factor x(b).
3*b**2*(b + 1)**2
Let r(c) be the second derivative of 0*c**2 - 3/32*c**5 + 0*c**3 - 1/16*c**4 - 1/40*c**6 - 4*c + 0. Factor r(l).
-3*l**2*(l + 2)*(2*l + 1)/8
Let b(c) be the first derivative of -c**6/6 - 2*c**5/5 + 2*c**3/3 + c**2/2 + 9. Suppose b(j) = 0. Calculate j.
-1, 0, 1
Let u(m) be the second derivative of -m**8/10080 - m**7/2520 - m**6/2160 - m**3/2 - m. Let b(r) be the second derivative of u(r). Determine t so that b(t) = 0.
-1, 0
Let i(d) = 1. Let t(a) = -2*a + 9. Let r be t(5). Let x(m) be the first derivative of -2*m**3/3 + 3*m + 1. Let c(s) = r*x(s) + i(s). Find u such that c(u) = 0.
-1, 1
Let n(s) be the third derivative of -1/18*s**3 + 1/18*s**4 + 1/36*s**5 + 0 + 4*s**2 + 0*s. Let n(a) = 0. What is a?
-1, 1/5
Let g be 7 + 0 + -2 - 3. Let j**3 - j**3 - 4*j**3 + j + 8*j**g - 5*j = 0. What is j?
0, 1
Let c(r) be the third derivative of -r**8/840 + r**7/525 + r**6/150 - r**5/75 - r**4/60 + r**3/15 - 4*r**2. Solve c(s) = 0 for s.
-1, 1
Let t(y) = -y + 11. Let f = 22 - 14. Let g be t(f). Factor -10*d**g - d**4 - 4*d**4 - 5*d - 10*d**2 + 4*d**5 - 1 - 5*d**5.
-(d + 1)**5
Let p(d) be the second derivative of d**7/21 - d**6/15 - d**5/2 - d**4/2 + 32*d. Factor p(c).
2*c**2*(c - 3)*(c + 1)**2
Let w(o) be the second derivative of -o**6/120 + o**5/20 - 2*o**3/3 + 3*o**2/2 + 3*o. Let n(f) be the first derivative of w(f). Factor n(h).
-(h - 2)**2*(h + 1)
Let a be 1 - 2/(-1)*1 - -2. Let k(o) be the third derivative of 1/210*o**7 + 1/60*o**a + 0 + 0*o + 0*o**4 + 0*o**3 - 1/60*o**6 + 4*o**2. Factor k(u).
u**2*(u - 1)**2
Let g(z) be the second derivative of 3*z - 1/4*z**3 + 1/24*z**4 + 1/2*z**2 + 0. What is y in g(y) = 0?
1, 2
Let k(r) be the third derivative of -1/240*r**6 + 0*r + 0*r**4 + 0*r**5 + 0 - 2*r**2 + 0*r**3 + 1/420*r**7. Find o, given that k(o) = 0.
0, 1
Let t(x) = x**2 - 22*x + 43. Let m be t(20). Factor -4/7*o + 2/7 + 0*o**2 - 2/7*o**4 + 4/7*o**m.
-2*(o - 1)**3*(o + 1)/7
Let m(y) be the second derivative of -1/420*y**6 + 0*y**4 + 1/420*y**5 + 3*y + 0 + 0*y**2 - 1/3*y**3. Let g(k) be the second derivative of m(k). Factor g(u).
-2*u*(3*u - 1)/7
Let o(y) = -y**2 - y + 1. Let s(b) = -12*b**2 - 9*b + 10. Let q(p) = 22*o(p) - 2*s(p). Determine u so that q(u) = 0.
1
Let b(d) be the second derivative of -d**5/4 + 5*d**3/6 - 27*d. What is a in b(a) = 0?
-1, 0, 1
Let u = -11 + 15. Factor u*k**3 - 15*k**2 - 8*k**3 - 8*k**3 + 0*k**2 - 3*k.
-3*k*(k + 1)*(4*k + 1)
Factor 15/7*p**2 + 1/7*p**3 + 0 + 0*p.
p**2*(p + 15)/7
Let w(p) be the third derivative of 7*p**6/480 - 19*p**5/240 + p**4/12 + p**3/6 + p**2. Factor w(c).
(c - 2)*(c - 1)*(7*c + 2)/4
Let j(s) be the second derivative of s**5/5 - 4*s**4/3 + 10*s**3/3 - 4*s**2 + 5*s. What is q in j(q) = 0?
1, 2
Factor -2 - 14*o**5 + 20*o**3 - 20*o**2 + 4*o**5 - 10*o**4 + 10*o + 12*o**5.
2*(o - 1)**5
Let t(s) = s**3 - 3*s**2 + s - 1. Let f be t(3). Factor 3*c**2 - 2 - f*c**3 + 2*c**2 + 2*c - 3*c**2.
-2*(c - 1)**2*(c + 1)
Let a = -32 - -162/5. Let y = -255 - -1281/5. Factor -4/5*z - y*z**2 - a*z**3 + 0.
-2*z*(z + 1)*(z + 2)/5
Let 8*m + 15/2*m**4 - m**5 + 0 - 12*m**2 - 23/2*m**3 = 0. What is m?
-1, 0, 1/2, 4
Let h be (-64)/6*(2 + 10/(-4)). Solve -17/3*f - h*f**3 + 2/3 + 40/3*f**2 = 0.
1/4, 2
Let j(p) be the third derivative of -p**9/15120 + p**7/2100 - p**5/600 + 2*p**3/3 - 2*p**2. Let c(h) be the first derivative of j(h). Factor c(q).
-q*(q - 1)**2*(q + 1)**2/5
Let y(g) be the third derivative of -g**6/120 + g**5/30 - g**4/24 - 6*g**2. Solve y(f) = 0.
0, 1
Let c(y) be the second derivative of 0*y**3 - 3*y + 0 + 1/84*y**7 + 0*y**2 + 1/60*y**6 - 1/24*y**4 - 1/40*y**5. Factor c(h).
h**2*(h - 1)*(h + 1)**2/2
Let -z - 7*z**3 - 4*z + 9*z + 3*z**3 = 0. What is z?
-1, 0, 1
Let o be 3/9*0*-1. Factor -5*n**2 - 4*n + 4 + 2*n + o*n + 3*n**2.
-2*(n - 1)*(n + 2)
Factor -12*o**2 + 8/3*o**3 - 2/9*o**4 + 24*o - 18.
-2*(o - 3)**4/9
Let x be (7 - -3) + (2 - 0). Let n = -8 + x. Factor 4*g**n + g - g**5 + 4*g**2 + 6*g**3 + 0*g**4 + 2*g**5.
g*(g + 1)**4
Let j(n) be the third derivative of 0*n + 0*n**4 - 2*n**2 + 0*n**5 + 1/210*n**7 - 1/60*n**6 + 0*n**3 + 0. Factor j(m).
m**3*(m - 2)
Let t(p) be the third derivative of 0*p**5 - 1/240*p**6 + 0 + 0*p**3 + 0*p + 0*p**4 + 1/672*p**8 - 3*p**2 + 0*p**7. Factor t(n).
n**3*(n - 1)*(n + 1)/2
Suppose -4/3*v**4 + 5/3*v**3 - 2/3*v + 7/3*v**2 + 0 = 0. What is v?
-1, 0, 1/4, 2
Let w(t) = -t**3 + 3*t**2 + 3*t - 2. Let c be w(2). Suppose -2 = 2*s - c. Determine l so that 4*l + l**4 + 0*l - s*l - l**3 - l**2 = 0.
-1, 0, 1
Let w(c) be the second derivative of -c**6/900 - c**5/150 - c**3/3 - c. Let s(j) be the second derivative of w(j). Factor s(g).
-2*g*(g + 2)/5
Let h(s) be the third derivative of 0*s**5 + 0 + 1/60*s**6 + 0*s**3 + 0*s - 1/12*s**4 + 2*s**2. Factor h(c).
2*c*(c - 1)*(c + 1)
Suppose 0*n = 3*n + z - 11, 21 = 5*n + 3*z. Suppose -3*b - b = n*j + 6, 5*b = 4*j - 23. Factor v**2 - 6*v + 3*v**2 - v**3 - v**j + 3*v + 1.
-(v - 1)**3
Let m(y) = y**2 + 2. Suppose 3*d = -0*d. Let z be m(d). Factor -h + 3*h - 2*h**z - h**3 + 2*h**4 - h**3.
2*h*(h - 1)**2*(h + 1)
Let l(f) be the third derivative of -f**6/30 - 4*f**5/15 - 5*f**4/6 - 4*f**3/3 - 13*f**2. Suppose l(x) = 0. What is x?
-2, -1
What is t in 10*t - 17*t**4 - 48*t**2 - 10*t**4 - 22*t - 81*t**3 + 18*t**3 = 0?
-1, -2/3, 0
Let q = 1753/975 + 2/975. Let i(w) be the first derivative of -2 - 4*w**3 + q*w**5 - 9/2*w**6 + 0*w**2 + 6*w**4 + 0*w. Suppose i(j) = 0. Calculate j.
-1, 0, 2/3
Let p(n) be the first derivative of 1 + 36*n - 12*n**2 + 4/3*n**