**2 + 6*i - 4. Let m be r(4). Find x, given that -n*x**3 - 8*x**5 - 6*x**4 - 2*x**2 - 11*x**4 + x**3 + x**m = 0.
-1, -1/2, 0
Let m(k) = -k**2 - 18*k + 6. Let c be m(-9). Let p be (-3)/4 - c/(-20). Factor -4/5*f + 0 - p*f**3 + 22/5*f**2.
-2*f*(f - 1)*(9*f - 2)/5
Let b(u) be the first derivative of -u**7/5460 + u**6/1170 - u**5/780 - 4*u**3/3 - 1. Let z(m) be the third derivative of b(m). Let z(i) = 0. What is i?
0, 1
Suppose -i**2 + 1/2*i**4 + 1/2*i**3 + 1/2 - 1/4*i**5 - 1/4*i = 0. What is i?
-1, 1, 2
Let p(y) be the first derivative of 2*y**6/21 - 3*y**5/35 - 9*y**4/28 - 2*y**3/21 - 23. Solve p(h) = 0 for h.
-1, -1/4, 0, 2
Let o(v) be the second derivative of v**5/110 + 2*v**4/11 + 16*v**3/11 + 64*v**2/11 - 3*v. Factor o(w).
2*(w + 4)**3/11
Let d(s) = -s**3 - 3*s**2 + 3*s - 4. Let o be d(-4). Let l be (-4 + (-20)/(-6))*(-3)/5. Factor 2/5*j**5 + 0*j**3 + 0 + o*j**2 - l*j**4 + 0*j.
2*j**4*(j - 1)/5
Suppose 0 = -5*g + g - 36. Let b = g + 9. Solve 4/3*m**2 + b*m + 2/3*m**3 + 0 = 0 for m.
-2, 0
Let b = 9 + -17. Let s = b + 10. Determine a, given that -a + 6 - 4*a + 3*a**s - 4*a = 0.
1, 2
Factor -c - 4*c - 2*c**2 - 4*c**2 + c**2.
-5*c*(c + 1)
Let r(d) = 5*d**2 - 27*d - 3. Let v(l) = 5*l**2 - 28*l - 2. Let f(i) = -2*r(i) + 3*v(i). Factor f(w).
5*w*(w - 6)
Let j(s) be the first derivative of 0*s**2 - 1/36*s**4 - 1/60*s**5 + 1/18*s**3 + 1/90*s**6 - 1 - 2*s. Let p(f) be the first derivative of j(f). Factor p(v).
v*(v - 1)**2*(v + 1)/3
Let u(v) be the third derivative of v**10/15120 - v**9/7560 - v**8/3360 + v**7/1260 - v**4/12 - 2*v**2. Let i(m) be the second derivative of u(m). Factor i(n).
2*n**2*(n - 1)**2*(n + 1)
Let t = 271/45 - 29/5. Find q such that -t*q + 2/9*q**4 + 0 - 2/3*q**3 + 2/3*q**2 = 0.
0, 1
Let d be (8/3)/((-18)/(-27)). Let g(k) be the second derivative of 13/3*k**3 + 2*k**2 + 0 + 7/15*k**6 + k + 23/10*k**5 + 9/2*k**d. What is i in g(i) = 0?
-1, -2/7
Let c(p) = 1. Let r(s) = 1. Let j(b) = 2*b**2 + 6*b. Let x(a) = j(a) + 8*r(a). Let f(z) = -4*c(z) + x(z). Determine y, given that f(y) = 0.
-2, -1
Let z(i) = -1 - i**3 + i + 0 - 2*i**4 - i**5 + 3*i**4. Let n(w) = -2*w**4 + w**3 + w - 1. Let t(k) = -n(k) + z(k). Suppose t(r) = 0. What is r?
0, 1, 2
Let q(p) be the first derivative of -p**6/1080 + p**5/180 - p**4/72 - p**3 - 4. Let u(x) be the third derivative of q(x). Find n such that u(n) = 0.
1
Let n(r) be the first derivative of -1/6*r**3 + 1 + 1/12*r**4 + 0*r**2 - r. Let m(g) be the first derivative of n(g). What is i in m(i) = 0?
0, 1
Let m be (-3)/(-2) + (-3)/2. Let k(h) be the third derivative of 1/35*h**7 + 0 - 1/15*h**5 + 1/60*h**6 + m*h**4 - h**2 + 0*h + 0*h**3. Factor k(f).
2*f**2*(f + 1)*(3*f - 2)
Suppose -4*j + j + 15 = 0. Let q = j + -1. Factor -2 + 2 - 11*k**2 - 5*k**3 - q*k**3 - 2*k.
-k*(k + 1)*(9*k + 2)
Let b(j) be the second derivative of -j**6/15 - 23*j**5/80 - 7*j**4/16 - 5*j**3/24 + j**2/8 + 13*j. Factor b(d).
-(d + 1)**3*(8*d - 1)/4
Let 2/17*x**2 - 4/17 + 2/17*x = 0. What is x?
-2, 1
Let z = 67 + -64. Factor 0*p**2 + 0 - 1/5*p**z + 0*p + 1/5*p**4.
p**3*(p - 1)/5
Let y be 3/(3 - 0) - -1. Find t such that y*t + 2*t**3 - 6*t + 3*t + 4*t**2 + 3*t = 0.
-1, 0
Suppose -3/4*b**3 + 0 + 15/4*b**2 - 9/2*b = 0. What is b?
0, 2, 3
Let c(a) be the third derivative of a**10/105840 - a**9/17640 + a**8/11760 + a**4/4 - 4*a**2. Let t(o) be the second derivative of c(o). Factor t(v).
2*v**3*(v - 2)*(v - 1)/7
Factor 6*v - 3/2*v**2 - 6.
-3*(v - 2)**2/2
Factor -1/2*n**4 + 3/2*n**2 - 2 + 2*n - n**3.
-(n - 1)**2*(n + 2)**2/2
Let d(q) = q**3 - 11*q**2 - 10*q - 19. Let z be d(12). Factor -2/9 - 4/9*m**2 + 2/3*m**4 - 2/3*m + 4/9*m**3 + 2/9*m**z.
2*(m - 1)*(m + 1)**4/9
Let q be 6/(36/(-15))*(-12)/15. Let r(m) be the second derivative of 0 + 1/6*m**4 - 2/3*m**3 + 0*m**2 - q*m + 3/10*m**5. Factor r(h).
2*h*(h + 1)*(3*h - 2)
Let u = 2129/401555 - 2/1639. Let q = 59/49 - u. Determine z, given that -2/5*z + q*z**2 + 0 = 0.
0, 1/3
Factor 2*g**4 + 2*g**3 - 3*g**4 - 3*g**3.
-g**3*(g + 1)
Suppose 2*t - 4*h = 14, 2*t - 9 - 7 = 5*h. Suppose 1/4*x**t + x + x**2 + 0 = 0. What is x?
-2, 0
Factor -3/5*i + 3/5*i**2 + 0.
3*i*(i - 1)/5
Let g be (-2)/4*(-6 + -2). Suppose -3*i + 14 = -1. Factor 0*k**g + k**4 + k**2 - i*k**3 + 3*k**3.
k**2*(k - 1)**2
Let c be (-60)/40 - (-3 - -1). Factor v + 0*v**3 + 0 - 3/2*v**2 + c*v**4.
v*(v - 1)**2*(v + 2)/2
Let s = -21 - -421/20. Let z(u) be the first derivative of -1/5*u**2 + s*u**4 + 0*u - 1/15*u**3 - 4. Factor z(t).
t*(t - 2)*(t + 1)/5
Let y = 3 - -1. Solve 2*a**2 + y*a**3 - 2*a**3 - a**3 - 2*a**4 - a + 0*a**3 = 0 for a.
-1, 0, 1/2, 1
Let l(x) be the second derivative of 14*x**6/45 - 2*x**5/15 - 7*x**4/9 + 4*x**3/9 - 15*x. Find g such that l(g) = 0.
-1, 0, 2/7, 1
Let m(n) be the first derivative of 2/35*n**5 + 1/14*n**4 - 2/21*n**3 + 2 - 1/7*n**2 + 0*n. What is a in m(a) = 0?
-1, 0, 1
Let n(i) = 2*i**2 + 6*i - 6. Let h be n(1). Suppose 4*b + 5 = q + 3, -b + 2*q = 4. Solve -14/11*k**5 + b*k**h + 4/11*k**3 - 10/11*k**4 + 0 + 0*k = 0.
-1, 0, 2/7
Let t(k) be the first derivative of -5*k**3/3 - 30*k**2 - 180*k + 32. Suppose t(q) = 0. What is q?
-6
Suppose -5*m + 10*m + 40 = 0. Let u be -2 - m*1/2. Factor -1/4 + 1/4*o**5 + 1/2*o**u - 1/4*o**4 + 1/4*o - 1/2*o**3.
(o - 1)**3*(o + 1)**2/4
Let s be 15*(0 - 3/(-9)). Let z(v) be the second derivative of -1/70*v**7 + 2*v - 1/10*v**4 + 0 + 0*v**2 + 1/10*v**3 + 0*v**s + 1/25*v**6. Factor z(p).
-3*p*(p - 1)**3*(p + 1)/5
Let p(z) = 4*z**4 - 3*z**3 - 5*z**2 + 3*z + 1. Let q(a) = -12*a**4 + 8*a**3 + 16*a**2 - 8*a - 4. Let l(o) = -16*p(o) - 5*q(o). Factor l(w).
-4*(w - 1)**3*(w + 1)
Let s(l) be the first derivative of -2*l**3/9 + 8*l**2/3 + 6*l - 22. Find z, given that s(z) = 0.
-1, 9
Factor 3*a**2 - 33*a**4 - 34*a**3 + 6*a - 6*a**4 + 7*a**3 - 15*a**5.
-3*a*(a + 1)**3*(5*a - 2)
Let q(h) = 13*h**4 - h**3 - 13*h**2 - 8*h + 9. Let r(n) = 3*n**4 - 3*n**2 - 2*n + 2. Let w(y) = 2*q(y) - 9*r(y). Solve w(j) = 0 for j.
-2, -1, 0, 1
Let n be (9 + (-2015)/225)*(1 + 2). Find s such that n + 2/5*s**2 - 2/5*s - 2/15*s**3 = 0.
1
Suppose 2*i - 13 = -3*i + 2*o, i = o + 2. Let r**3 - 4*r**2 + i*r**2 + 0*r - r + r**4 = 0. What is r?
-1, 0, 1
Let t(x) be the first derivative of -x**5/100 + x**4/30 - x**3/30 - 8*x + 4. Let g(r) be the first derivative of t(r). Determine o so that g(o) = 0.
0, 1
Let z(y) be the second derivative of y**4/3 - 2*y**3 - 8*y**2 + 28*y. Let z(i) = 0. Calculate i.
-1, 4
Let g be ((-3 - -1)*-2)/2. Factor 4*t - 4*t - 3*t**3 + 6*t**2 + 7*t + g*t.
-3*t*(t - 3)*(t + 1)
Let r(u) be the second derivative of u**5/10 + u**4/6 - 2*u**3/3 - 7*u. Factor r(h).
2*h*(h - 1)*(h + 2)
Let i(j) = -j**3 + j**2 - 1. Let v(t) = 18*t**3 + 77*t**2 + 60*t - 22. Let g(r) = 2*i(r) - v(r). Let g(b) = 0. What is b?
-2, 1/4
Let h = 4/51 - -10/17. Solve 0 + 4/3*f**2 + 2/3*f**3 + h*f = 0 for f.
-1, 0
Find z, given that -24 - 3*z**4 + 26 - 8*z - 3*z**4 + 8*z**3 + 4*z**2 = 0.
-1, 1/3, 1
Let t be (-49)/(-14) - 30/20. Determine o, given that 4/13*o + 2/13*o**t + 0 = 0.
-2, 0
Suppose 3*x - 8 = x. Solve -9*d**4 + x*d**3 - 3*d**3 + 10*d**4 = 0 for d.
-1, 0
Let m(q) be the first derivative of -4/3*q**2 - 5/9*q**3 - 4/3*q - 1/12*q**4 + 2. Solve m(w) = 0 for w.
-2, -1
Suppose -5*q + 26 = 7*l - 11*l, -2*l - 2 = 3*q. What is g in 0 + 4/7*g - 22/7*g**4 - 18/7*g**5 + q*g**3 + 22/7*g**2 = 0?
-1, -2/9, 0, 1
Let z be (4/75)/(12/30). Let c(w) be the first derivative of -2/5*w + z*w**3 + 1/10*w**4 - 1 - 1/5*w**2. Factor c(f).
2*(f - 1)*(f + 1)**2/5
Suppose 20 = 4*u + 4. Suppose 2*h + 0*h - 5*c - 5 = 0, -5*h = 4*c + u. Let 4/3*l**2 + h*l - 16/3*l**4 + 2/3*l**3 + 0 + 10/3*l**5 = 0. What is l?
-2/5, 0, 1
Let f = 3/7 - 2/21. Suppose -2*d = 3 - 11. Factor 0 + 0*c**2 + f*c**3 + 1/3*c**5 + 0*c + 2/3*c**d.
c**3*(c + 1)**2/3
Suppose -3*c - n + 25 = 2*c, 5*n = -2*c - 13. Let a be (c/(-20))/((-6)/15). Factor -1/4*i**2 + 0*i - 3/4*i**4 + 1/4*i**5 + a*i**3 + 0.
i**2*(i - 1)**3/4
Let w(t) be the second derivative of -t**7/105 + t**6/75 + t**5/25 + 11*t. Determine h so that w(h) = 0.
-1, 0, 2
Let i(d) be the first derivative of -d**4/48 - d**3/24 - d - 1. Let b(a) be the first derivative of i(a). Find q such that b(q) = 0.
-1, 0
Factor -2/17*j**4 - 6/17*j**3 - 6/17*j**2 + 0 - 2/17*j.
-2*j*(j + 1)**3/17
Let r(x) = x**3 - x**2 - 2*x. Let n(k) = -2*k**3 